pax_global_header00006660000000000000000000000064124736423040014517gustar00rootroot0000000000000052 comment=77fad3ba4b8c5c2d88f593df375ae0a1b1e5fd35 sfepy-release_2015.1/000077500000000000000000000000001247364230400144355ustar00rootroot00000000000000sfepy-release_2015.1/.gitignore000066400000000000000000000006761247364230400164360ustar00rootroot00000000000000Makefile site_cfg.py TAGS anim/* *output* output-tests/* results/* work/* auto/* dist/ gallery/ meshes/ patches/ issues/ .spkg *.vtk *.mesh *.txt *.pdf *.png *.pyc *.pyd *.o *.so *_wrap.c *.toc *.aux *.log *.png *.pdf *.h5 # Generated files: *.c *.h *.gch VERSION tmp/terms.* samples/* doc/tex/*.pdf doc/doxygenrc doc/examples/ doc/html/ doc/_build/ tmp/* build/* sfepy/__config__.py doc/term_table.rst .buildinfo PKG-INFO spkg-install MANIFEST sfepy-release_2015.1/AUTHORS000066400000000000000000000015111247364230400155030ustar00rootroot00000000000000All people who contributed to SfePy by sending at least one patch (in the order of the date of their first contribution as recorded in git history): Robert Cimrman Ondrej Certik Ryan Krauss Vladimir Lukes , Erwan Le Guennec Logan Sorenson Andre Smit Zuzana Zahorova Osman Olivier Verdier Matyas Novak Tom Aldcroft Alec Kalinin Bjarke Dalslet Ankit Mahato Jaroslav Vondrejc , Zhihua Ouyang Lubos Kejzlar sfepy-release_2015.1/INSTALL000066400000000000000000000052221247364230400154670ustar00rootroot00000000000000This text contains short installation instructions for SfePy. The full instructions are given in doc/installation.rst, see also [1, 2]. [1] http://sfepy.org [2] http://sfepy.org/doc-devel/installation.html Platforms --------- *SfePy* is known to work on various flavours of Linux, on Intel Macs and Windows. Requirements ------------ Installation prerequisites, required to build SfePy: - a C compiler suite (for example gcc) - Python 2.6 or 2.7 - NumPy - Cython Python packages required for using SfePy: - Pyparsing - SciPy, preferably with umfpack wrapper, or umfpack scikit - Matplotlib, for various plots; GTKAgg for live plotting via log.py - PyTables, for storing results in HDF5 files - SymPy, for some tests and functions) - Mayavi, for postproc.py - Pysparse, for schroedinger.py - igakit, for script/gen_iga_patch.py - simple IGA domain generator Other dependencies: - To be able to (re)generate the documentation: Sphinx, numpydoc, LaTeX. - Mesh generation tools use pexpect and gmsh or tetgen. - IPython is preferred over the regular Python shell for following some parts of primer/tutorial. SfePy can be used in-place without any installation by running the scripts from the top-level directory of the distribution (TOPDIR), or can be installed locally or system-wide. Compilation of C Extension Modules ---------------------------------- 1. Look at ``site_cfg_template.py`` and follow the instructions therein. Usually no changes are necessary. 2. Compile the extension modules a) for in-place use: python setup.py build_ext --inplace b) for installation: python setup.py build Installation ------------ (As mentioned above, this step is not required to use SfePy.) - System-wide (may require root privileges): python setup.py install - Local (requires write access to ````): python setup.py install --root= Testing: -------- Run './run_tests.py' or './run_tests.py --filter-less' in TOPDIR. Tests that save results save them into TOPDIR/output-tests directory. View the results (*.vtk) with a VTK-capable viewer (e.g. ParaView, Mayavi). No failures should be reported. If you get some failures it probably means some optional packages are not installed. Also be sure to have a recent version of Numpy and SciPy installed (latest releases or Git versions are the best bet). Verify also your pytables (hdf5) installation (possible test_io.py failures). To debug a failure, run './run_tests.py --debug'. See also './run_tests.py --help' for further options. Documentation: -------------- SfePy is documented using Sphinx, see [1] above. The documentation sources are in the doc directory. sfepy-release_2015.1/LICENSE000066400000000000000000000027601247364230400154470ustar00rootroot00000000000000Copyright (c) 2007 - 2014 SfePy Developers. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the SfePy nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. sfepy-release_2015.1/MANIFEST.in000066400000000000000000000005541247364230400161770ustar00rootroot00000000000000graft doc prune examples/*/output prune examples/*/*/output prune doc/_build prune doc/html exclude doc/logo/*.vtk exclude doc/publish.py exclude sfepy/__config__.py exclude sfepy/discrete/__config__.py include sfepy/discrete/fem/extmods/lobatto1d_template.c include sfepy/discrete/fem/extmods/lobatto1d_template.h include sfepy/discrete/fem/extmods/version.h.in sfepy-release_2015.1/Makefile000066400000000000000000000002701247364230400160740ustar00rootroot00000000000000 all: python setup.py build_ext --inplace clean: python setup.py clean htmldocs: python setup.py htmldocs pdfdocs: python setup.py pdfdocs doxygendocs: python setup.py doxygendocssfepy-release_2015.1/README000066400000000000000000000053631247364230400153240ustar00rootroot00000000000000======================================== SfePy (Simple finite elements in Python) ======================================== A finite element analysis software based primarily on NumPy and SciPy. See the INSTALL file for installation instructions or refer to SfePy documentation site [1]. How to start ------------ SfePy uses so called "problem definition files" (also referred to as "input files" or "problem description files"") that describe the partial differential equations (PDEs), boundary conditions, function spaces and other ingredients of the finite element (FE) formulation of a PDE-related problem, see [1]. The PDEs are given in weak formulation as usual in the FE context, see [2], where each equation is composed of one or more terms. To see which terms are available consult 'doc/sfepy_manual.pdf', or see them online [3]. In order to solve a problem, a problem description file has to be created. There is also an interactive solution support for advanced users [4]. When starting to solve a new problem, it is best to have a look at example problem definition files in the 'examples/' directory - copy the one that is similar to the problem at hand, and modify it. Two of the examples are commented: 'examples/diffusion/poisson.py' and 'examples/linear_elasticity/linear_elastic.py'. While a problem definition file describes a mathematical problem, it does not contain a discretized solution domain (a FE mesh). The FE mesh must be provided in another file in one of the supported formats, notably the legacy VTK format [5]. SfePy does not provide meshing tools, but it can use a number of standard formats. The results are almost exclusively stored in legacy VTK files, or custom HDF5 files. Many standard open-source tools can be used to display the VTK files, namely paraview [6], or mayavi [7]. The latter is supported directly within SfePy, via the postproc.py script. Once an input file and a corresponding mesh file are prepared, the solution of the problem can be attempted by the 'simple.py' script, see Examples section in the INSTALL file. [1] http://docs.sfepy.org/ [2] http://en.wikipedia.org/wiki/Weak_formulation [3] http://docs.sfepy.org/doc/terms_overview.html [4] http://docs.sfepy.org/doc/tutorial.html#interactive-example-linear-elasticity [5] http://www.vtk.org/pdf/file-formats.pdf [6] http://paraview.org/ [7] http://code.enthought.com/projects/mayavi/ Links ----- - http://sfepy.org ... main SfePy development site (releases, mailing lists, wiki, issue tracking, downloads, examples - http://docs.sfepy.org ... documentation - http://github.com/sfepy/ ... master git repository - http://sfepy.kme.zcu.cz ... projects solved within SfePy License: New BSD License, see the LICENSE file. -- Robert Cimrman and Contributors sfepy-release_2015.1/btrace_python000077500000000000000000000001071247364230400172220ustar00rootroot00000000000000#!/bin/sh # 15.12.2004, c gdb --quiet --core=core --se=/usr/bin/python sfepy-release_2015.1/build_helpers.py000066400000000000000000000243321247364230400176340ustar00rootroot00000000000000""" Build helpers for setup.py. Includes package dependency checks and monkey-patch to numpy.distutils to work with Cython. Notes ----- The original version of this file was adapted from NiPy project [1]. [1] http://nipy.sourceforge.net/ """ # Standard library imports import os import shutil import glob import fnmatch from distutils.cmd import Command from os.path import join as pjoin, dirname from distutils.command.clean import clean from distutils.version import LooseVersion from distutils.dep_util import newer_group from distutils.errors import DistutilsError from numpy.distutils.misc_util import appendpath from numpy.distutils import log import sfepy.version as INFO CYTHON_MIN_VERSION = INFO.CYTHON_MIN_VERSION class NoOptionsDocs(Command): user_options = [('None', None, 'this command has no options'),] def initialize_options(self): pass def finalize_options(self): pass def get_sphinx_make_command(): if os.name in ['posix']: return 'make' elif os.name in ['nt']: return 'make.bat' else: raise ValueError('unsupported system! (%s)' % os.name) class SphinxHTMLDocs(NoOptionsDocs): description = """generate html docs by Sphinx""" def run(self): os.chdir('doc') try: cmd = get_sphinx_make_command() os.system(cmd + ' html') finally: os.chdir('..') class SphinxPDFDocs(NoOptionsDocs): description = """generate pdf docs by Sphinx""" def run(self): cwd = os.getcwd() os.chdir('doc') try: cmd = get_sphinx_make_command() os.system(cmd + ' latex') os.chdir('_build/latex') os.system(cmd + ' all-pdf') os.chdir(cwd) try: os.remove('doc/sfepy_manual.pdf') except: pass os.rename('doc/_build/latex/SfePy.pdf', 'doc/sfepy_manual.pdf') finally: os.chdir(cwd) class DoxygenDocs(NoOptionsDocs): description = """generate docs by Doxygen""" def run(self): try: shutil.rmtree('doc/html') except OSError: pass fd_in = open('doc/doxygen.config', 'r') fd_out = open('doc/doxygenrc', 'w') for line in fd_in: aux = line.split('=') if len(aux) and (aux[0] == 'PROJECT_NUMBER'): line = '='.join([aux[0], INFO.__version__]) fd_out.write(line) fd_out.close() fd_in.close() os.system('doxygen doc/doxygenrc') def recursive_glob(top_dir, pattern): """ Utility function working like `glob.glob()`, but working recursively and returning generator. Parameters ---------- topdir : str The top-level directory. pattern : str or list of str The pattern or list of patterns to match. """ if isinstance(pattern, list): for pat in pattern: for fn in recursive_glob(top_dir, pat): yield fn else: for dirpath, dirnames, filenames in os.walk(top_dir): for fn in [fn for fn in filenames if fnmatch.fnmatchcase(fn, pattern)]: yield os.path.join(dirpath, fn) class Clean(clean): """ Distutils Command class to clean, enhanced to clean also files generated during `python setup.py build_ext --inplace`. """ def run(self): clean.run(self) print 'extra clean:' suffixes = ['*.pyc', '*.o', '*.so', '*_wrap.c', '*.bak', '*~', '*%'] for filename in recursive_glob('sfepy', suffixes): print filename os.remove(filename) for filename in recursive_glob('examples', suffixes): print filename os.remove(filename) for filename in recursive_glob('script', suffixes): print filename os.remove(filename) for filename in recursive_glob('tests', suffixes): print filename os.remove(filename) for filename in glob.glob('*.pyc'): print filename os.remove(filename) for _filename in recursive_glob('sfepy', ['*.pyx']): filename = _filename.replace('.pyx', '.c') print filename try: os.remove(filename) except OSError: pass filename = _filename.replace('.pyx', '.html') print filename try: os.remove(filename) except OSError: pass # The command classes for distutils, used by setup.py. cmdclass = { 'htmldocs' : SphinxHTMLDocs, 'pdfdocs' : SphinxPDFDocs, 'doxygendocs' : DoxygenDocs, 'clean': Clean, } def have_good_cython(): try: from Cython.Compiler.Version import version except ImportError: return False return LooseVersion(version) >= LooseVersion(CYTHON_MIN_VERSION) def generate_a_pyrex_source(self, base, ext_name, source, extension): ''' Monkey patch for numpy build_src.build_src method Uses Cython instead of Pyrex. ''' good_cython = have_good_cython() if self.inplace or not good_cython: target_dir = dirname(base) else: target_dir = appendpath(self.build_src, dirname(base)) target_file = pjoin(target_dir, ext_name + '.c') depends = [source] + extension.depends sources_changed = newer_group(depends, target_file, 'newer') if self.force or sources_changed: if good_cython: # add distribution (package-wide) include directories, in order # to pick up needed .pxd files for cython compilation incl_dirs = extension.include_dirs[:] dist_incl_dirs = self.distribution.include_dirs if not dist_incl_dirs is None: incl_dirs += dist_incl_dirs import Cython.Compiler.Main log.info("cythonc:> %s" % (target_file)) self.mkpath(target_dir) options = Cython.Compiler.Main.CompilationOptions( defaults=Cython.Compiler.Main.default_options, include_path=incl_dirs, output_file=target_file) cython_result = Cython.Compiler.Main.compile(source, options=options) if cython_result.num_errors != 0: raise DistutilsError("%d errors while compiling " "%r with Cython" % (cython_result.num_errors, source)) elif sources_changed and os.path.isfile(target_file): raise DistutilsError("Cython >=%s required for compiling %r" " because sources (%s) have changed" % (CYTHON_MIN_VERSION, source, ','.join(depends))) else: raise DistutilsError("Cython >=%s required for compiling %r" " but not available" % (CYTHON_MIN_VERSION, source)) return target_file def package_check(pkg_name, version=None, optional=False, checker=LooseVersion, version_getter=None, messages=None ): """ Check if package `pkg_name` is present, and correct version Parameters ---------- pkg_name : str or sequence of str name of package as imported into python. Alternative names (e.g. for different versions) may be given in a list. version : {None, str}, optional minimum version of the package that we require. If None, we don't check the version. Default is None optional : {False, True}, optional If False, raise error for absent package or wrong version; otherwise warn checker : callable, optional callable with which to return comparable thing from version string. Default is ``distutils.version.LooseVersion`` version_getter : {None, callable}: Callable that takes `pkg_name` as argument, and returns the package version string - as in:: ``version = version_getter(pkg_name)`` If None, equivalent to:: mod = __import__(pkg_name); version = mod.__version__`` messages : None or dict, optional dictionary giving output messages """ if version_getter is None: def version_getter(pkg_name): mod = __import__(pkg_name) return mod.__version__ if messages is None: messages = {} msgs = { 'missing': 'Cannot import package "%s" - is it installed?', 'missing opt': 'Missing optional package "%s"', 'opt suffix' : '; you may get run-time errors', 'version too old': 'You have version %s of package "%s"' ' but we need version >= %s', 'no version' : 'cannot determine version of %s!', } msgs.update(messages) if isinstance(pkg_name, str): names = [pkg_name] else: names = pkg_name import_ok = False for pkg_name in names: try: __import__(pkg_name) except ImportError: pass else: import_ok = True if not import_ok: if not optional: raise RuntimeError(msgs['missing'] % pkg_name) log.warn(msgs['missing opt'] % pkg_name + msgs['opt suffix']) return if not version: return try: have_version = version_getter(pkg_name) except AttributeError: raise RuntimeError('Cannot find version for %s' % pkg_name) if not have_version: if optional: log.warn(msgs['no version'] % pkg_name) else: raise RuntimeError(msgs['no version'] % pkg_name) elif checker(have_version) < checker(version): if optional: log.warn(msgs['version too old'] % (have_version, pkg_name, version) + msgs['opt suffix']) else: raise RuntimeError(msgs['version too old'] % (have_version, pkg_name, version)) sfepy-release_2015.1/doc/000077500000000000000000000000001247364230400152025ustar00rootroot00000000000000sfepy-release_2015.1/doc/Makefile000066400000000000000000000061021247364230400166410ustar00rootroot00000000000000# Makefile for Sphinx documentation # # You can set these variables from the command line. SPHINXOPTS = SPHINXBUILD = PYTHONPATH=.. sphinx-build PAPER = BUILDDIR = _build # Internal variables. PAPEROPT_a4 = -D latex_paper_size=a4 PAPEROPT_letter = -D latex_paper_size=letter ALLSPHINXOPTS = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . .PHONY: help clean html dirhtml pickle json htmlhelp qthelp latex changes linkcheck doctest help: @echo "Please use \`make ' where is one of" @echo " html to make standalone HTML files" @echo " dirhtml to make HTML files named index.html in directories" @echo " pickle to make pickle files" @echo " json to make JSON files" @echo " htmlhelp to make HTML files and a HTML help project" @echo " qthelp to make HTML files and a qthelp project" @echo " latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter" @echo " changes to make an overview of all changed/added/deprecated items" @echo " linkcheck to check all external links for integrity" @echo " doctest to run all doctests embedded in the documentation (if enabled)" clean: -rm -rf $(BUILDDIR)/* html: $(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html @echo @echo "Build finished. The HTML pages are in $(BUILDDIR)/html." dirhtml: $(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml @echo @echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml." pickle: $(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle @echo @echo "Build finished; now you can process the pickle files." json: $(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json @echo @echo "Build finished; now you can process the JSON files." htmlhelp: $(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp @echo @echo "Build finished; now you can run HTML Help Workshop with the" \ ".hhp project file in $(BUILDDIR)/htmlhelp." qthelp: $(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp @echo @echo "Build finished; now you can run "qcollectiongenerator" with the" \ ".qhcp project file in $(BUILDDIR)/qthelp, like this:" @echo "# qcollectiongenerator $(BUILDDIR)/qthelp/SfePy.qhcp" @echo "To view the help file:" @echo "# assistant -collectionFile $(BUILDDIR)/qthelp/SfePy.qhc" latex: $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex @echo @echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex." @echo "Run \`make all-pdf' or \`make all-ps' in that directory to" \ "run these through (pdf)latex." changes: $(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes @echo @echo "The overview file is in $(BUILDDIR)/changes." linkcheck: $(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck @echo @echo "Link check complete; look for any errors in the above output " \ "or in $(BUILDDIR)/linkcheck/output.txt." doctest: $(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest @echo "Testing of doctests in the sources finished, look at the " \ "results in $(BUILDDIR)/doctest/output.txt." sfepy-release_2015.1/doc/_static/000077500000000000000000000000001247364230400166305ustar00rootroot00000000000000sfepy-release_2015.1/doc/_static/downloads.php000066400000000000000000000106461247364230400213420ustar00rootroot00000000000000 SfePy: Simple Finite Elements in Python
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'; echo 'FilenameUploadDateSizeDownloadCount'; $tgz_files = glob($GLOBALS['download_dir'].'/*.{tar.gz}', GLOB_BRACE); $itgz_files = array_reverse($tgz_files, true); foreach($itgz_files as $file_) { $file = basename($file_); $sql = 'SELECT verze,stazeno FROM sfepy_downloads WHERE verze="'.$file.'"'; $data = mysql_query($sql, $relace); if (!$data) { die('DB Error, could not query the database: ' . mysql_error()); } if (mysql_num_rows($data) == 0) { $sql = 'INSERT INTO sfepy_downloads values ("'.$file.'", 0)'; mysql_query($sql, $relace); } else { list($verze, $stazeno) = mysql_fetch_row($data); $size = filesize($file_); $modtime = date("M d Y", filemtime($file_)); $tag = ''.$verze.''.$modtime.''.$size.' bytes'.$stazeno.''; echo $tag; } mysql_free_result($data); } echo ''; } function download($verze) { $verze_ = $GLOBALS['download_dir'].$verze; header('Content-Description: File Transfer'); header('Content-Type: application/octet-stream'); header('Content-Disposition: attachment; filename='.basename($verze_)); header('Content-Transfer-Encoding: binary'); header('Expires: 0'); header('Cache-Control: must-revalidate'); header('Pragma: public'); header('Content-Length: ' . filesize($verze_)); ob_clean(); flush(); readfile($verze_); $relace = mysql_connect('localhost', 'host', 'h0st207p'); if (!$relace) { die('Could not connect: ' . mysql_error()); } if (!mysql_select_db('host', $relace)) { die('Could not select database'); } $sql = 'SELECT stazeno FROM sfepy_downloads WHERE verze="'.$verze.'"'; $data = mysql_query($sql, $relace); if (!$data) { die('DB Error, could not query the database: ' . mysql_error()); } list($stazeno) = mysql_fetch_row($data); $stazeno = $stazeno + 1; $sql = 'UPDATE sfepy_downloads SET stazeno="'.$stazeno.'" WHERE verze="'.$verze.'"'; mysql_query($sql, $relace); mysql_free_result($data); } function dwl($verze) { $tag = $_SERVER['PHP_SELF'].'?fun=download2&ver='.$verze; header('Refresh: 0; '.$tag); flush(); $tag = 'http://sfepy.org/doc-devel/installation.html'; echo '
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    SfePy NTC
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    {% endblock %} sfepy-release_2015.1/doc/archived_news.rst000066400000000000000000000163221247364230400205610ustar00rootroot00000000000000.. _archived_news: Archived News ============= * **22.11.2013** Version 2013.4 released (simplified quadrature definition, equation sequence solver, initial support for 'plate' integration/connectivity type, script for visualization of quadrature points and weights, etc.), see :ref:`release notes <2013.3-2013.4>`. * **18.09.2013** Version 2013.3 released (implementation of Mesh topology data structures in C, implementation of regions based on C Mesh, MultiProblem solver for conjugate solution of subproblems, new advanced examples (vibro-acoustics, Stokes flow with slip conditions), etc.), see :ref:`release notes <2013.2-2013.3>`. * **22.05.2013** Version 2013.2 released (automatic testing of term calls (many terms fixed w.r.t. corner cases), new elastic contact plane term + example, translated low level base functions from Cython to C for reusability, improved gallery http://docs.sfepy.org/gallery/gallery, etc.), see :ref:`release notes <2013.1-2013.2>`. * **27.02.2013** Version 2013.1 released (unified use of stationary and evolutionary solvers, new implicit adaptive time stepping solver, elements of set and nodes of set region selectors, simplified setting of variables data, etc.), see :ref:`release notes <2012.4-2013.1>`. * **21.11.2012** Version 2012.4 released (initial support for hierarchical basis on quadrilateral and brick elements, unified C/Cython structures for reference mappings, new linear combination boundary condition: edge direction, new examples showing some advanced features, etc.), see :ref:`release notes <2012.3-2012.4>`. * **12.09.2012** Version 2012.3 released (several new terms, material parameters can be defined per region using region names, base function values can be defined per element, support for global options, etc.), see :ref:`release notes <2012.2-2012.3>`. * **29.05.2012** Version 2012.2 released (reimplement acoustic band gaps code using the homogenization engine, high order quadrature rules, unify dot product and mass terms, lots of other term updates/fixes, update the PDE solver application, etc.), see :ref:`release notes <2012.1-2012.2>`. * **27.02.2012** Version 2012.1 released (initial version of linearizer of higher order solutions, rewrite variable and evaluate cache history handling, lots of term updates/fixes/simplifications, move web front page to sphinx docs, etc.), see :ref:`release notes <2011.4-2012.1>`. * **05.12.2011** Version 2011.4 released (cython used instead of swig to interface C code, many terms unified thanks to new optional material term argument type, updated Lagrangian formulation for large deformations, automatic generation of gallery of examples, etc.), see :ref:`release notes <2011.3-2011.4>`. * **10.08.2011** Version 2011.3 released (major update of terms aiming at easier usage and definition while retaining original C functions, overriding problem description items on command line, improved developer guide, Primer tutorial - a step-by-step walk-through of the process to solve a simple mechanics problem, etc.), see :ref:`release notes <2011.2-2011.3>`. * **31.05.2011** Version 2011.2 released (experimental implementation of terms aiming at easier usage and definition of new terms, Mooney-Rivlin membrane term, update build system to use exclusively setup.py, allow switching boundary conditions on/off depending on time, support for variable time step solvers, etc.), see :ref:`release notes <2011.1-2011.2>`. * **24.03.2011** Version 2011.1 released (discontinuous approximations, user-defined material nonlinearities, improved surface approximations, speed-up mesh reading, extensive clean-up - less code, many bugfixes and many more updates), see :ref:`release notes <2010.4-2011.1>`. * **06.12.2010** Version 2010.4 released (higher order elements, refactoring of geometries (reference mappings), transparent DOF vector synchronization with variables, interface variables defined on a surface region, many bugfixes and many more updates), see :ref:`release notes <2010.3-2010.4>`. * **06.08.2010** Version 2010.3 released (significantly rewritten code for better interactive use, cleaner and simpler high level interface, new examples, tests, simplified but more powerful homogenization engine, many bugfixes), see :ref:`release notes <2010.2-2010.3>`. * **10.05.2010** Version 2010.2 released (significantly updated documentation, new mesh readers, conversion formulas for elastic constants, basic tensor transformations, stress tensor conversion, new examples, tests, many new terms and bugfixes), see :ref:`release notes <2010.1-2010.2>`. * **01.03.2010** Version 2010.1 released (new sphinx-based documentation, refactoring of base functions (polynomial spaces) and element geometry description, interpolation between different meshes, terms for describing perfusion and active fibres in the total Lagrangian formulation (applicable, for example, to active muscle tissue models) new tests, many new terms and bugfixes), see :ref:`release notes <2009.4-2010.1>`. * **24.11.2009** Version 2009.4 released (greatly improved postprocessing and visualization capabilities, unified handling of user-defined functions, new tests, terms, many bugfixes), see :ref:`release notes <2009.3-2009.4>`. * **21.07.2009** Version 2009.3 released (_Windows installation_, updated postproc.py - visualization, new tests, terms, solvers, bugfixes), see :ref:`release notes <2009.2-2009.3>`. * **12.05.2009** Version 2009.2 released (new top level scripts (_isfepy_ - customized IPython shell, _postproc.py_ - mayavi2 based result viewer, _probe.py_), automatic html documentation generation via doxygen, new solvers, new mesh readers, extended syntax of equations for boundary traces of variables, short syntax for almost all input elements and other improvements), see :ref:`release notes <2009.1-2009.2>`. * **02.03.2009** Version 2009.1 released (new solvers, new mesh readers, unified homogenization framework, dispersion analysis, phase velocity computation for phononic materials and other improvements), see :ref:`release notes <2008.4-2009.1>`. * **04.12.2008** Version 2008.4 released (framework for running parametric studies, greatly improved support for time-dependent problems, live plotting using multiprocessing module, type of term arguments determined fully at run-time, new terms and other improvements), see :ref:`release notes <00.50.00-2008.4>`. * **02.09.2008** Version 00.50.00 released (finite strain elasticity: total Lagrangian (TL) formulation, solving problems in complex numbers, generalized equations to allow linear combination of terms, run-time type of state term arguments, refactoring to follow Python coding style guidelines and other improvements), see :ref:`release notes <00.46.02-00.50.00>`. * **01.07.2008** Version 00.46.02 released (alternative short syntax for specifying essential boundary conditions, variables and regions, manufactured solutions tests using !SymPy and other improvements), see :ref:`release notes <00.41.03-00.46.02>`. * **26.03.2008** Version 00.41.03 released (works on 64 bits, support for various mesh formats, new solvers and other improvements), see :ref:`release notes <00.35.01-00.41.03>`. sfepy-release_2015.1/doc/conf.py000066400000000000000000000237041247364230400165070ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # SfePy documentation build configuration file, created by # sphinx-quickstart on Wed Oct 14 00:02:22 2009. # # This file is execfile()d with the current directory set to its containing dir. # # Note that not all possible configuration values are present in this # autogenerated file. # # All configuration values have a default; values that are commented out # serve to show the default. import sys, os # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. #sys.path.append(os.path.abspath('.')) ## LS: Below walks parent directory and adds all non-excluded to sys.path #def add_to_sys_path(arg, dirname, fnames): # excludes = ('.git',) # for exclude in excludes: # if exclude not in dirname: # sys.path.append(os.path.abspath(dirname)) # #doc_dir,conf_file = os.path.split(__file__) #sfepy_dir = os.path.abspath(os.path.join(doc_dir, os.path.pardir)) #os.path.walk(sfepy_dir, add_to_sys_path, None) sys.path.append(os.path.abspath('sphinxext')) # This is needed for gen_term_table. sys.path.append(os.path.abspath('../script')) import sfepy numpydoc_path = sfepy.Config().numpydoc_path() if numpydoc_path is not None: sys.path.append(os.path.abspath(numpydoc_path)) # -- General configuration ----------------------------------------------------- # Add any Sphinx extension module names here, as strings. They can be extensions # coming with Sphinx (named 'sphinx.ext.*') or your custom ones. extensions = ['sphinx.ext.autosummary', 'sphinx.ext.autodoc', 'sphinx.ext.doctest', 'sphinx.ext.pngmath', 'sphinx.ext.viewcode', 'numpydoc', 'ipython_console_highlighting', 'gen_term_table'] #extensions = ['sphinx.ext.autodoc'] # Add any paths that contain templates here, relative to this directory. templates_path = ['_templates'] # The suffix of source filenames. source_suffix = '.rst' # The encoding of source files. #source_encoding = 'utf-8' # The master toctree document. master_doc = 'index' # General information about the project. project = u'SfePy' copyright = u'2014, Robert Cimrman and Contributors' # The version info for the project you're documenting, acts as replacement for # |version| and |release|, also used in various other places throughout the # built documents. # # The short X.Y version. version = sfepy.__version__ # The full version, including alpha/beta/rc tags. release = version # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. #language = None # There are two options for replacing |today|: either, you set today to some # non-false value, then it is used: #today = '' # Else, today_fmt is used as the format for a strftime call. #today_fmt = '%B %d, %Y' # List of documents that shouldn't be included in the build. #unused_docs = [] # List of directories, relative to source directory, that shouldn't be searched # for source files. exclude_trees = ['_build'] # The reST default role (used for this markup: `text`) to use for all documents. #default_role = None # If true, '()' will be appended to :func: etc. cross-reference text. #add_function_parentheses = True # If true, the current module name will be prepended to all description # unit titles (such as .. function::). #add_module_names = True # If true, sectionauthor and moduleauthor directives will be shown in the # output. They are ignored by default. #show_authors = False # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'sphinx' # A list of ignored prefixes for module index sorting. #modindex_common_prefix = [] # -- Options for HTML output --------------------------------------------------- # The theme to use for HTML and HTML Help pages. Major themes that come with # Sphinx are currently 'default' and 'sphinxdoc'. html_theme = 'sfepy_theme' # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. #html_theme_options = {} # Add any paths that contain custom themes here, relative to this directory. html_theme_path = ["."] # The name for this set of Sphinx documents. If None, it defaults to # " v documentation". #html_title = None # A shorter title for the navigation bar. Default is the same as html_title. #html_short_title = None # The name of an image file (relative to this directory) to place at the top # of the sidebar. #html_logo = None # The name of an image file (within the static path) to use as favicon of the # docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32 # pixels large. #html_favicon = None # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". html_static_path = ['_static'] # If not '', a 'Last updated on:' timestamp is inserted at every page bottom, # using the given strftime format. #html_last_updated_fmt = '%b %d, %Y' # If true, SmartyPants will be used to convert quotes and dashes to # typographically correct entities. #html_use_smartypants = True # Custom sidebar templates, maps document names to template names. #html_sidebars = {} # Additional templates that should be rendered to pages, maps page names to # template names. html_additional_pages = {} #html_additional_pages = {'index': 'index.html', 'gallery':'gallery.html'} # If false, no module index is generated. #html_use_modindex = True html_domain_indices = ["py-modindex"] # If false, no index is generated. #html_use_index = True # If true, the index is split into individual pages for each letter. #html_split_index = False # If true, links to the reST sources are added to the pages. #html_show_sourcelink = True # If true, an OpenSearch description file will be output, and all pages will # contain a tag referring to it. The value of this option must be the # base URL from which the finished HTML is served. #html_use_opensearch = '' # If nonempty, this is the file name suffix for HTML files (e.g. ".xhtml"). #html_file_suffix = '' # Output file base name for HTML help builder. htmlhelp_basename = 'SfePydoc' # -- Options for LaTeX output -------------------------------------------------- # The paper size ('letter' or 'a4'). #latex_paper_size = 'letter' # The font size ('10pt', '11pt' or '12pt'). #latex_font_size = '10pt' # Grouping the document tree into LaTeX files. List of tuples # (source start file, target name, title, author, documentclass [howto/manual]). latex_documents = [ ('index', 'SfePy.tex', u'SfePy Documentation', u'Robert Cimrman and Contributors', 'manual'), ] # The name of an image file (relative to this directory) to place at the top of # the title page. #latex_logo = None # For "manual" documents, if this is true, then toplevel headings are parts, # not chapters. #latex_use_parts = False # Additional stuff for the LaTeX preamble. #latex_preamble = '' latex_preamble = r""" \usepackage{bm} \usepackage{amsfonts} \def\dt{{\Delta t}} \def\pdiff#1#2{\frac{\partial {#1}}{\partial {#2}}} \def\tdiff#1#2{\frac{{\rm d} {#1}}{{\rm d} {#2}}} \def\difd#1{\ {\rm d}#1} \def\intl#1#2{\int \limits_{#1}^{#2}} \def\eff{^{\rm eff}} \def\sunm{^{(n-1)}} \def\suz{^{(0)}} \newcommand{\dvg}{\mathop{\rm div}} \newcommand{\tr}{\mathop{\rm tr}} \newcommand{\ul}[1]{\underline{#1}} \newcommand{\uld}[1]{\dot{\underline{#1}}} \newcommand{\ull}[1]{\underline{\underline{#1}}} \newcommand{\dev}{\mathop{\rm dev}} \newcommand{\skewop}{\mathop{\rm skew}} \def\from{\leftarrow} \def\Vcal{\mathcal{V}} \def\Tcal{\mathcal{T}} \def\Ical{\mathcal{I}} \def\Hcal{\mathcal{H}} \def\Fcal{\mathcal{F}} \def\Gcal{\mathcal{G}} \def\pd{\partial} \def\ub{\bm{u}} \def\vb{\bm{v}} \def\Mb{\bm{M}} \def\vphib{\bm{\varphi}} """ # LS: Are the following needed as well? #\def\Vcal{\mathcal{V}} #\def\Tcal{\mathcal{T}} #\def\figDir{../doc/tex/figures} #""" # Documents to append as an appendix to all manuals. #latex_appendices = [] # If false, no module index is generated. #latex_use_modindex = True # Preamble for pngmath images pngmath_latex_preamble = latex_preamble # Turn off numpydoc autosummary tables numpydoc_show_class_members = False def process_terms(app, what_, name, obj, options, lines): """ Prepend term call signature(s) into term docstrings. """ from types import TypeType from sfepy.terms import Term if isinstance(obj, TypeType): if issubclass(obj, Term) and len(obj.name): arg_types = obj.arg_types if ((len(arg_types) > 1) and not isinstance(arg_types[0], str)): arg_types = [u', '.join(['%s' % arg for arg in arg_type]) for arg_type in arg_types] at_lines = [u'``(%s)``' % arg_type for arg_type in arg_types] else: arg_types = u', '.join(['%s' % arg for arg in arg_types]) at_lines = [u'``(%s)``' % arg_types] for ii, line in enumerate(lines): if line.startswith(':Arguments'): i0 = ii - 1 break else: i0 = 0 len0 = len(obj.name) + 4 lines.insert(i0+0, u'') lines.insert(i0+1, u':Call signature:') lines.insert(i0+2, u'') lines.insert(i0+3, (u'=' * len0) + u' ===') lines.insert(i0+4, u'**%s** %s' % (obj.name, at_lines[0])) for ii, line in enumerate(at_lines[1:]): lines.insert(i0+5+ii, u'..' + (' ' * (len0 - 1)) + line) lines.insert(i0+4+len(at_lines), (u'=' * len0) + u' ===') lines.insert(i0+5+len(at_lines), u'') # make sure there is a blank line at the end if lines and lines[-1]: lines.append(u'') def setup(app): app.connect('autodoc-process-docstring', process_terms) sfepy-release_2015.1/doc/dev/000077500000000000000000000000001247364230400157605ustar00rootroot00000000000000sfepy-release_2015.1/doc/dev/gitwash/000077500000000000000000000000001247364230400174265ustar00rootroot00000000000000sfepy-release_2015.1/doc/dev/gitwash/branch_dropdown.png000066400000000000000000000376671247364230400233300ustar00rootroot00000000000000PNG  IHDR7'piCCPICC ProfilexTkA6n"Zkx"IYhE6bk Ed3In6&*Ezd/JZE(ޫ(b-nL~7}ov r4 Ril|Bj A4%UN$As{z[V{wwҶ@G*q Y<ߡ)t9Nyx+=Y"|@5-MS%@H8qR>׋infObN~N>! ?F?aĆ=5`5_M'Tq. 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Here is an example ``.gitconfig`` file:: [user] name = Your Name email = you@yourdomain.example.com [alias] ci = commit -a co = checkout st = status stat = status br = branch wdiff = diff --color-words [core] editor = vim [merge] summary = true You can edit this file directly or you can use the ``git config --global`` command:: git config --global user.name "Your Name" git config --global user.email you@yourdomain.example.com git config --global alias.ci "commit -a" git config --global alias.co checkout git config --global alias.st "status -a" git config --global alias.stat "status -a" git config --global alias.br branch git config --global alias.wdiff "diff --color-words" git config --global core.editor vim git config --global merge.summary true To set up on another computer, you can copy your ``~/.gitconfig`` file, or run the commands above. In detail ========= user.name and user.email ------------------------ It is good practice to tell git_ who you are, for labeling any changes you make to the code. The simplest way to do this is from the command line:: git config --global user.name "Your Name" git config --global user.email you@yourdomain.example.com This will write the settings into your git configuration file, which should now contain a user section with your name and email:: [user] name = Your Name email = you@yourdomain.example.com Of course you'll need to replace ``Your Name`` and ``you@yourdomain.example.com`` with your actual name and email address. Aliases ------- You might well benefit from some aliases to common commands. For example, you might well want to be able to shorten ``git checkout`` to ``git co``. Or you may want to alias ``git diff --color-words`` (which gives a nicely formatted output of the diff) to ``git wdiff`` The following ``git config --global`` commands:: git config --global alias.ci "commit -a" git config --global alias.co checkout git config --global alias.st "status -a" git config --global alias.stat "status -a" git config --global alias.br branch git config --global alias.wdiff "diff --color-words" will create an ``alias`` section in your ``.gitconfig`` file with contents like this:: [alias] ci = commit -a co = checkout st = status -a stat = status -a br = branch wdiff = diff --color-words Editor ------ You may also want to make sure that your editor of choice is used :: git config --global core.editor vim Merging ------- To enforce summaries when doing merges (``~/.gitconfig`` file again):: [merge] log = true Or from the command line:: git config --global merge.log true .. _fancy-log: Fancy log output ---------------- This is a very nice alias to get a fancy log output; it should go in the ``alias`` section of your ``.gitconfig`` file:: lg = log --graph --pretty=format:'%Cred%h%Creset -%C(yellow)%d%Creset %s %Cgreen(%cr) %C(bold blue)[%an]%Creset' --abbrev-commit --date=relative You use the alias with:: git lg and it gives graph / text output something like this (but with color!):: * 6d8e1ee - (HEAD, origin/my-fancy-feature, my-fancy-feature) NF - a fancy file (45 minutes ago) [Matthew Brett] * d304a73 - (origin/placeholder, placeholder) Merge pull request #48 from hhuuggoo/master (2 weeks ago) [Jonathan Terhorst] |\ | * 4aff2a8 - fixed bug 35, and added a test in test_bugfixes (2 weeks ago) [Hugo] |/ * a7ff2e5 - Added notes on discussion/proposal made during Data Array Summit. (2 weeks ago) [Corran Webster] * 68f6752 - Initial implimentation of AxisIndexer - uses 'index_by' which needs to be changed to a call on an Axes object - this is all very sketchy right now. (2 weeks ago) [Corr * 376adbd - Merge pull request #46 from terhorst/master (2 weeks ago) [Jonathan Terhorst] |\ | * b605216 - updated joshu example to current api (3 weeks ago) [Jonathan Terhorst] | * 2e991e8 - add testing for outer ufunc (3 weeks ago) [Jonathan Terhorst] | * 7beda5a - prevent axis from throwing an exception if testing equality with non-axis object (3 weeks ago) [Jonathan Terhorst] | * 65af65e - convert unit testing code to assertions (3 weeks ago) [Jonathan Terhorst] | * 956fbab - Merge remote-tracking branch 'upstream/master' (3 weeks ago) [Jonathan Terhorst] | |\ | |/ Thanks to Yury V. Zaytsev for posting it. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/development_workflow.rst000066400000000000000000000327761247364230400244530ustar00rootroot00000000000000.. _development-workflow: #################### Development workflow #################### You already have your own forked copy of the `SfePy`_ repository, by following :ref:`forking`. You have :ref:`set-up-fork`. You have configured git by following :ref:`configure-git`. Now you are ready for some real work. Workflow summary ================ In what follows we'll refer to the upstream SfePy ``master`` branch, as "trunk". * Don't use your ``master`` branch for anything. Consider deleting it. * When you are starting a new set of changes, fetch any changes from trunk, and start a new *feature branch* from that. * Make a new branch for each separable set of changes |emdash| "one task, one branch" (`ipython git workflow`_). * Name your branch for the purpose of the changes - e.g. ``bugfix-for-issue-14`` or ``refactor-database-code``. * If you can possibly avoid it, avoid merging trunk or any other branches into your feature branch while you are working. * If you do find yourself merging from trunk, consider :ref:`rebase-on-trunk` * Ask on the `SfePy mailing list`_ if you get stuck. * Ask for code review! This way of working helps to keep work well organized, with readable history. This in turn makes it easier for project maintainers (that might be you) to see what you've done, and why you did it. See `linux git workflow`_ and `ipython git workflow`_ for some explanation. Consider deleting your master branch ==================================== It may sound strange, but deleting your own ``master`` branch can help reduce confusion about which branch you are on. See `deleting master on github`_ for details. .. _update-mirror-trunk: Update the mirror of trunk ========================== First make sure you have done :ref:`linking-to-upstream`. From time to time you should fetch the upstream (trunk) changes from github:: git fetch upstream This will pull down any commits you don't have, and set the remote branches to point to the right commit. For example, 'trunk' is the branch referred to by (remote/branchname) ``upstream/master`` - and if there have been commits since you last checked, ``upstream/master`` will change after you do the fetch. .. _make-feature-branch: Make a new feature branch ========================= When you are ready to make some changes to the code, you should start a new branch. Branches that are for a collection of related edits are often called 'feature branches'. Making an new branch for each set of related changes will make it easier for someone reviewing your branch to see what you are doing. Choose an informative name for the branch to remind yourself and the rest of us what the changes in the branch are for. For example ``add-ability-to-fly``, or ``buxfix-for-issue-42``. :: # Update the mirror of trunk git fetch upstream # Make new feature branch starting at current trunk git branch my-new-feature upstream/master git checkout my-new-feature Generally, you will want to keep your feature branches on your public github_ fork of `SfePy`_. To do this, you `git push`_ this new branch up to your github repo. Generally (if you followed the instructions in these pages, and by default), git will have a link to your github repo, called ``origin``. You push up to your own repo on github with:: git push origin my-new-feature In git >= 1.7 you can ensure that the link is correctly set by using the ``--set-upstream`` option:: git push --set-upstream origin my-new-feature From now on git will know that ``my-new-feature`` is related to the ``my-new-feature`` branch in the github repo. .. _edit-flow: The editing workflow ==================== Overview -------- :: # hack hack git add my_new_file git commit -am 'NF - some message' git push In more detail -------------- #. Make some changes #. See which files have changed with ``git status`` (see `git status`_). You'll see a listing like this one:: # On branch ny-new-feature # Changed but not updated: # (use "git add ..." to update what will be committed) # (use "git checkout -- ..." to discard changes in working directory) # # modified: README # # Untracked files: # (use "git add ..." to include in what will be committed) # # INSTALL no changes added to commit (use "git add" and/or "git commit -a") #. Check what the actual changes are with ``git diff`` (`git diff`_). #. Add any new files to version control ``git add new_file_name`` (see `git add`_). #. To commit all modified files into the local copy of your repo,, do ``git commit -am 'A commit message'``. Note the ``-am`` options to ``commit``. The ``m`` flag just signals that you're going to type a message on the command line. The ``a`` flag |emdash| you can just take on faith |emdash| or see `why the -a flag?`_ |emdash| and the helpful use-case description in the `tangled working copy problem`_. The `git commit`_ manual page might also be useful. #. To push the changes up to your forked repo on github, do a ``git push`` (see `git push`_). Ask for your changes to be reviewed or merged ============================================= When you are ready to ask for someone to review your code and consider a merge: #. Go to the URL of your forked repo, say ``http://github.com/your-user-name/sfepy``. #. Use the 'Switch Branches' dropdown menu near the top left of the page to select the branch with your changes: .. image:: branch_dropdown.png #. Click on the 'Pull request' button: .. image:: pull_button.png Enter a title for the set of changes, and some explanation of what you've done. Say if there is anything you'd like particular attention for - like a complicated change or some code you are not happy with. If you don't think your request is ready to be merged, just say so in your pull request message. This is still a good way of getting some preliminary code review. Some other things you might want to do ====================================== Delete a branch on github ------------------------- :: git checkout master # delete branch locally git branch -D my-unwanted-branch # delete branch on github git push origin :my-unwanted-branch (Note the colon ``:`` before ``test-branch``. See also: http://github.com/guides/remove-a-remote-branch Several people sharing a single repository ------------------------------------------ If you want to work on some stuff with other people, where you are all committing into the same repository, or even the same branch, then just share it via github. First fork SfePy into your account, as from :ref:`forking`. Then, go to your forked repository github page, say ``http://github.com/your-user-name/sfepy`` Click on the 'Admin' button, and add anyone else to the repo as a collaborator: .. image:: pull_button.png Now all those people can do:: git clone git@githhub.com:your-user-name/sfepy.git Remember that links starting with ``git@`` use the ssh protocol and are read-write; links starting with ``git://`` are read-only. Your collaborators can then commit directly into that repo with the usual:: git commit -am 'ENH - much better code' git push origin master # pushes directly into your repo Explore your repository ----------------------- To see a graphical representation of the repository branches and commits:: gitk --all To see a linear list of commits for this branch:: git log You can also look at the `network graph visualizer`_ for your github repo. Finally the :ref:`fancy-log` ``lg`` alias will give you a reasonable text-based graph of the repository. .. _rebase-on-trunk: Rebasing on trunk ----------------- Let's say you thought of some work you'd like to do. You :ref:`update-mirror-trunk` and :ref:`make-feature-branch` called ``cool-feature``. At this stage trunk is at some commit, let's call it E. Now you make some new commits on your ``cool-feature`` branch, let's call them A, B, C. Maybe your changes take a while, or you come back to them after a while. In the meantime, trunk has progressed from commit E to commit (say) G:: A---B---C cool-feature / D---E---F---G trunk At this stage you consider merging trunk into your feature branch, and you remember that this here page sternly advises you not to do that, because the history will get messy. Most of the time you can just ask for a review, and not worry that trunk has got a little ahead. But sometimes, the changes in trunk might affect your changes, and you need to harmonize them. In this situation you may prefer to do a rebase. rebase takes your changes (A, B, C) and replays them as if they had been made to the current state of ``trunk``. In other words, in this case, it takes the changes represented by A, B, C and replays them on top of G. After the rebase, your history will look like this:: A'--B'--C' cool-feature / D---E---F---G trunk See `rebase without tears`_ for more detail. To do a rebase on trunk:: # Update the mirror of trunk git fetch upstream # go to the feature branch git checkout cool-feature # make a backup in case you mess up git branch tmp cool-feature # rebase cool-feature onto trunk git rebase --onto upstream/master upstream/master cool-feature In this situation, where you are already on branch ``cool-feature``, the last command can be written more succinctly as:: git rebase upstream/master When all looks good you can delete your backup branch:: git branch -D tmp If it doesn't look good you may need to have a look at :ref:`recovering-from-mess-up`. If you have made changes to files that have also changed in trunk, this may generate merge conflicts that you need to resolve - see the `git rebase`_ man page for some instructions at the end of the "Description" section. There is some related help on merging in the git user manual - see `resolving a merge`_. .. _recovering-from-mess-up: Recovering from mess-ups ------------------------ Sometimes, you mess up merges or rebases. Luckily, in git it is relatively straightforward to recover from such mistakes. If you mess up during a rebase:: git rebase --abort If you notice you messed up after the rebase:: # reset branch back to the saved point git reset --hard tmp If you forgot to make a backup branch:: # look at the reflog of the branch git reflog show cool-feature 8630830 cool-feature@{0}: commit: BUG: io: close file handles immediately 278dd2a cool-feature@{1}: rebase finished: refs/heads/my-feature-branch onto 11ee694744f2552d 26aa21a cool-feature@{2}: commit: BUG: lib: make seek_gzip_factory not leak gzip obj ... # reset the branch to where it was before the botched rebase git reset --hard cool-feature@{2} .. _rewriting-commit-history: Rewriting commit history ------------------------ .. note:: Do this only for your own feature branches. There's an embarassing typo in a commit you made? Or perhaps the you made several false starts you would like the posterity not to see. This can be done via *interactive rebasing*. Suppose that the commit history looks like this:: git log --oneline eadc391 Fix some remaining bugs a815645 Modify it so that it works 2dec1ac Fix a few bugs + disable 13d7934 First implementation 6ad92e5 * masked is now an instance of a new object, MaskedConstant 29001ed Add pre-nep for a copule of structured_array_extensions. ... and ``6ad92e5`` is the last commit in the ``cool-feature`` branch. Suppose we want to make the following changes: * Rewrite the commit message for ``13d7934`` to something more sensible. * Combine the commits ``2dec1ac``, ``a815645``, ``eadc391`` into a single one. We do as follows:: # make a backup of the current state git branch tmp HEAD # interactive rebase git rebase -i 6ad92e5 This will open an editor with the following text in it:: pick 13d7934 First implementation pick 2dec1ac Fix a few bugs + disable pick a815645 Modify it so that it works pick eadc391 Fix some remaining bugs # Rebase 6ad92e5..eadc391 onto 6ad92e5 # # Commands: # p, pick = use commit # r, reword = use commit, but edit the commit message # e, edit = use commit, but stop for amending # s, squash = use commit, but meld into previous commit # f, fixup = like "squash", but discard this commit's log message # # If you remove a line here THAT COMMIT WILL BE LOST. # However, if you remove everything, the rebase will be aborted. # To achieve what we want, we will make the following changes to it:: r 13d7934 First implementation pick 2dec1ac Fix a few bugs + disable f a815645 Modify it so that it works f eadc391 Fix some remaining bugs This means that (i) we want to edit the commit message for ``13d7934``, and (ii) collapse the last three commits into one. Now we save and quit the editor. Git will then immediately bring up an editor for editing the commit message. After revising it, we get the output:: [detached HEAD 721fc64] FOO: First implementation 2 files changed, 199 insertions(+), 66 deletions(-) [detached HEAD 0f22701] Fix a few bugs + disable 1 files changed, 79 insertions(+), 61 deletions(-) Successfully rebased and updated refs/heads/my-feature-branch. and the history looks now like this:: 0f22701 Fix a few bugs + disable 721fc64 ENH: Sophisticated feature 6ad92e5 * masked is now an instance of a new object, MaskedConstant If it went wrong, recovery is again possible as explained :ref:`above `. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/dot2_dot3.rst000066400000000000000000000012511247364230400217600ustar00rootroot00000000000000.. _dot2-dot3: ======================================== Two and three dots in difference specs ======================================== Thanks to Yarik Halchenko for this explanation. Imagine a series of commits A, B, C, D... Imagine that there are two branches, *topic* and *master*. You branched *topic* off *master* when *master* was at commit 'E'. The graph of the commits looks like this:: A---B---C topic / D---E---F---G master Then:: git diff master..topic will output the difference from G to C (i.e. with effects of F and G), while:: git diff master...topic would output just differences in the topic branch (i.e. only A, B, and C). sfepy-release_2015.1/doc/dev/gitwash/following_latest.rst000066400000000000000000000014751247364230400235430ustar00rootroot00000000000000.. _following-latest: ============================= Following the latest source ============================= These are the instructions if you just want to follow the latest *SfePy* source, but you don't need to do any development for now. The steps are: * :ref:`install-git` * get local copy of the `SfePy github`_ git repository * update local copy from time to time Get the local copy of the code ============================== From the command line:: git clone git://github.com/sfepy/sfepy.git You now have a copy of the code tree in the new ``sfepy`` directory. Updating the code ================= From time to time you may want to pull down the latest code. Do this with:: cd sfepy git pull The tree in ``sfepy`` will now have the latest changes from the initial repository. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/forking_button.png000066400000000000000000000314441247364230400231740ustar00rootroot00000000000000PNG  IHDR]Vl8E pHYs   IDATx]|Tv7ݴMN]&O  X(("}`@z!!@$ I6{wHŐ ww|s,JlG#i7p8t"p8Dn ͛p8tp8Dn ͛p8tp8D۪SMYVܺu jN:H;Ц22{wG(7o#77}Z+6/_18+{22+ߔ'Tnn.\\\z)H~cCEҿ++3^KX,`B`UC(s*Ҁ{/22'7#G>F},\>ë˗ sݿ/^v;s+p[cF5nGd2{VVՍÙ3gh"A0'OFvٱ߹nɊd-ڕzzz:mۆ9s=33ž鯬C~0~Ure$!nm,W#q(gǝ݌XlP844\K7n' USֽ__\] \d 222@h[/Aadr]3\ĻTnJo8aӻ%&52_VN߫nV䭄ha9r0`0vލM6 駟.ڙ٦z$])Fg,Zn.P:٠3Uӕ+17sBo aMM0V9EGի3f S`f Bq]_w34&k%dAG=pS*V999;w.Fc$o0}tNANj̈́B!@<E~=ֹG ~Jk6hubC}@#S1@H³^gȌn1j˕+W" AAA5kؽS6> |oZlY`ݖ>,uh ؽę}&|~4Ú`{a{hi_}UΘ(d]ٳÐD74'Xfm Z`zd ޚ0Ԥ/{q٫!Lq)5(J/1+pũK|K+bէƏ>ƺ9Bc>GSޝfDND?](f[<kcc\wviprr\*씝6vTJ%m㿳b%/Q8`[BLjo?@ ew26؆c޻E'6W  _B8'^m6@m_ϚA'|%=s}]j8HGǦ`wgiSbȜy8|b7r$*&t+|Nc;#p헏P:GJ+.2. 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[Г޴"2QJ((/DYYEI?vX0&)<|}lVAlK ZJד_ |-f'DbYt`&wV+|UtKĂ'YwZ:H4* J %ʂnTN@aW;%x1paLͿUSg My::WY:Ҕ*_wY(Ț%pYFrZ<b7ɇ~?MehdE{ix*# hSId3}n÷coK[95w?]sN W9ёӎOQ١܂2V2rWᏠk3t@ -݂ɢX;l :+Jݙ\ڛ\s"Ǵ&&}/o/[^@[f%~5[,A\GFm˲feK'\Vd"kTirMn .Mƿ;8su*$TVY䋑poo kJ U-ro~Z p/gRUkiKJf$h.kj)$\]'q0tJ 7NGA^Ąv} &O Lj_DUXʪӒ(c3|WںhkpYIݮ`e )V2d 3YB^5 )qXE%W[{ {ѿDWҲ4} zTYx|# UC5[:TI/_wrȭpM~XL[,E1w<$!!sJM p8@8G#P>U2V~}<#pA[Ó8@u#-FpA[Ó8@u#Iq8rrIGd-N$IENDB`sfepy-release_2015.1/doc/dev/gitwash/forking_hell.rst000066400000000000000000000022051247364230400226220ustar00rootroot00000000000000.. _forking: ====================================================== Making your own copy (fork) of SfePy ====================================================== You need to do this only once. The instructions here are very similar to the instructions at http://help.github.com/forking/ |emdash| please see that page for more detail. We're repeating some of it here just to give the specifics for the `SfePy`_ project, and to suggest some default names. Set up and configure a github account ===================================== If you don't have a github account, go to the github page, and make one. You then need to configure your account to allow write access |emdash| see the ``Generating SSH keys`` help on `github help`_. Create your own forked copy of `SfePy`_ ====================================================== #. Log into your github account. #. Go to the `SfePy`_ github home at `SfePy github`_. #. Click on the *fork* button: .. image:: forking_button.png Now, after a short pause and some 'Hardcore forking action', you should find yourself at the home page for your own forked copy of `SfePy`_. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/git_development.rst000066400000000000000000000003401247364230400233420ustar00rootroot00000000000000.. _git-development: ===================== Git for development ===================== Contents: .. toctree:: :maxdepth: 2 forking_hell set_up_fork configure_git development_workflow maintainer_workflow sfepy-release_2015.1/doc/dev/gitwash/git_install.rst000066400000000000000000000011071247364230400224700ustar00rootroot00000000000000.. _install-git: ============= Install git ============= Overview ======== ================ ============= Debian / Ubuntu ``sudo apt-get install git-core`` Fedora ``sudo yum install git-core`` Windows Download and install msysGit_ OS X Use the git-osx-installer_ ================ ============= In detail ========= See the git page for the most recent information. Have a look at the github install help pages available from `github help`_ There are good instructions here: http://book.git-scm.com/2_installing_git.html .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/git_intro.rst000066400000000000000000000010331247364230400221530ustar00rootroot00000000000000============== Introduction ============== These pages describe a git_ and github_ workflow for the `SfePy`_ project. There are several different workflows here, for different ways of working with *SfePy*. This is not a comprehensive git reference, it's just a workflow for our own project. It's tailored to the github hosting service. You may well find better or quicker ways of getting stuff done with git, but these should get you started. For general resources for learning git, see :ref:`git-resources`. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/git_links.inc000066400000000000000000000070241247364230400221070ustar00rootroot00000000000000.. This (-*- rst -*-) format file contains commonly used link targets and name substitutions. It may be included in many files, therefore it should only contain link targets and name substitutions. Try grepping for "^\.\. _" to find plausible candidates for this list. .. NOTE: reST targets are __not_case_sensitive__, so only one target definition is needed for nipy, NIPY, Nipy, etc... .. git stuff .. _git: http://git-scm.com/ .. _github: http://github.com .. _github help: http://help.github.com .. _msysgit: http://code.google.com/p/msysgit/downloads/list .. _git-osx-installer: http://code.google.com/p/git-osx-installer/downloads/list .. _subversion: http://subversion.tigris.org/ .. _git cheat sheet: http://github.com/guides/git-cheat-sheet .. _pro git book: http://progit.org/ .. _git svn crash course: http://git-scm.com/course/svn.html .. _learn.github: http://learn.github.com/ .. _network graph visualizer: http://github.com/blog/39-say-hello-to-the-network-graph-visualizer .. _git user manual: http://www.kernel.org/pub/software/scm/git/docs/user-manual.html .. _git tutorial: http://www.kernel.org/pub/software/scm/git/docs/gittutorial.html .. _git community book: http://book.git-scm.com/ .. _git ready: http://www.gitready.com/ .. _git casts: http://www.gitcasts.com/ .. _Fernando's git page: http://www.fperez.org/py4science/git.html .. _git magic: http://www-cs-students.stanford.edu/~blynn/gitmagic/index.html .. _git concepts: http://www.eecs.harvard.edu/~cduan/technical/git/ .. _git clone: http://www.kernel.org/pub/software/scm/git/docs/git-clone.html .. _git checkout: http://www.kernel.org/pub/software/scm/git/docs/git-checkout.html .. _git commit: http://www.kernel.org/pub/software/scm/git/docs/git-commit.html .. _git push: http://www.kernel.org/pub/software/scm/git/docs/git-push.html .. _git pull: http://www.kernel.org/pub/software/scm/git/docs/git-pull.html .. _git add: http://www.kernel.org/pub/software/scm/git/docs/git-add.html .. _git status: http://www.kernel.org/pub/software/scm/git/docs/git-status.html .. _git diff: http://www.kernel.org/pub/software/scm/git/docs/git-diff.html .. _git log: http://www.kernel.org/pub/software/scm/git/docs/git-log.html .. _git branch: http://www.kernel.org/pub/software/scm/git/docs/git-branch.html .. _git remote: http://www.kernel.org/pub/software/scm/git/docs/git-remote.html .. _git rebase: http://www.kernel.org/pub/software/scm/git/docs/git-rebase.html .. _git config: http://www.kernel.org/pub/software/scm/git/docs/git-config.html .. _why the -a flag?: http://www.gitready.com/beginner/2009/01/18/the-staging-area.html .. _git staging area: http://www.gitready.com/beginner/2009/01/18/the-staging-area.html .. _tangled working copy problem: http://tomayko.com/writings/the-thing-about-git .. _git management: http://kerneltrap.org/Linux/Git_Management .. _linux git workflow: http://www.mail-archive.com/dri-devel@lists.sourceforge.net/msg39091.html .. _git parable: http://tom.preston-werner.com/2009/05/19/the-git-parable.html .. _git foundation: http://matthew-brett.github.com/pydagogue/foundation.html .. _deleting master on github: http://matthew-brett.github.com/pydagogue/gh_delete_master.html .. _rebase without tears: http://matthew-brett.github.com/pydagogue/rebase_without_tears.html .. _resolving a merge: http://www.kernel.org/pub/software/scm/git/docs/user-manual.html#resolving-a-merge .. _ipython git workflow: http://mail.scipy.org/pipermail/ipython-dev/2010-October/006746.html .. other stuff .. _python: http://www.python.org .. |emdash| unicode:: U+02014 .. vim: ft=rst sfepy-release_2015.1/doc/dev/gitwash/git_resources.rst000066400000000000000000000034221247364230400230360ustar00rootroot00000000000000.. _git-resources: ============= git resources ============= Tutorials and summaries ======================= * `github help`_ has an excellent series of how-to guides. * `learn.github`_ has an excellent series of tutorials * The `pro git book`_ is a good in-depth book on git. * A `git cheat sheet`_ is a page giving summaries of common commands. * The `git user manual`_ * The `git tutorial`_ * The `git community book`_ * `git ready`_ |emdash| a nice series of tutorials * `git casts`_ |emdash| video snippets giving git how-tos. * `git magic`_ |emdash| extended introduction with intermediate detail * The `git parable`_ is an easy read explaining the concepts behind git. * `git foundation`_ expands on the `git parable`_. * Fernando Perez' git page |emdash| `Fernando's git page`_ |emdash| many links and tips * A good but technical page on `git concepts`_ * `git svn crash course`_: git for those of us used to subversion_ Advanced git workflow ===================== There are many ways of working with git; here are some posts on the rules of thumb that other projects have come up with: * Linus Torvalds on `git management`_ * Linus Torvalds on `linux git workflow`_ . Summary; use the git tools to make the history of your edits as clean as possible; merge from upstream edits as little as possible in branches where you are doing active development. Manual pages online =================== You can get these on your own machine with (e.g) ``git help push`` or (same thing) ``git push --help``, but, for convenience, here are the online manual pages for some common commands: * `git add`_ * `git branch`_ * `git checkout`_ * `git clone`_ * `git commit`_ * `git config`_ * `git diff`_ * `git log`_ * `git pull`_ * `git push`_ * `git remote`_ * `git status`_ .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/index.rst000066400000000000000000000002311247364230400212630ustar00rootroot00000000000000.. _using-git: Contents: .. toctree:: :maxdepth: 2 git_intro git_install following_latest patching git_development git_resources sfepy-release_2015.1/doc/dev/gitwash/known_projects.inc000066400000000000000000000027031247364230400231700ustar00rootroot00000000000000.. Known projects .. PROJECTNAME placeholders .. _PROJECTNAME: http://neuroimaging.scipy.org .. _`PROJECTNAME github`: http://github.com/nipy .. _`PROJECTNAME mailing list`: http://projects.scipy.org/mailman/listinfo/nipy-devel .. numpy .. _numpy: hhttp://numpy.scipy.org .. _`numpy github`: http://github.com/numpy/numpy .. _`numpy mailing list`: http://mail.scipy.org/mailman/listinfo/numpy-discussion .. scipy .. _scipy: http://www.scipy.org .. _`scipy github`: http://github.com/scipy/scipy .. _`scipy mailing list`: http://mail.scipy.org/mailman/listinfo/scipy-dev .. nipy .. _nipy: http://nipy.org/nipy .. _`nipy github`: http://github.com/nipy/nipy .. _`nipy mailing list`: http://mail.scipy.org/mailman/listinfo/nipy-devel .. ipython .. _ipython: http://ipython.scipy.org .. _`ipython github`: http://github.com/ipython/ipython .. _`ipython mailing list`: http://mail.scipy.org/mailman/listinfo/IPython-dev .. dipy .. _dipy: http://nipy.org/dipy .. _`dipy github`: http://github.com/Garyfallidis/dipy .. _`dipy mailing list`: http://mail.scipy.org/mailman/listinfo/nipy-devel .. nibabel .. _nibabel: http://nipy.org/nibabel .. _`nibabel github`: http://github.com/nipy/nibabel .. _`nibabel mailing list`: http://mail.scipy.org/mailman/listinfo/nipy-devel .. marsbar .. _marsbar: http://marsbar.sourceforge.net .. _`marsbar github`: http://github.com/matthew-brett/marsbar .. _`MarsBaR mailing list`: https://lists.sourceforge.net/lists/listinfo/marsbar-users sfepy-release_2015.1/doc/dev/gitwash/links.inc000066400000000000000000000001611247364230400212370ustar00rootroot00000000000000.. compiling links file .. include:: known_projects.inc .. include:: this_project.inc .. include:: git_links.inc sfepy-release_2015.1/doc/dev/gitwash/maintainer_workflow.rst000066400000000000000000000060031247364230400242400ustar00rootroot00000000000000.. _maintainer-workflow: ################### Maintainer workflow ################### This page is for maintainers |emdash| those of us who merge our own or other peoples' changes into the upstream repository. Being as how you're a maintainer, you are completely on top of the basic stuff in :ref:`development-workflow`. The instructions in :ref:`linking-to-upstream` add a remote that has read-only access to the upstream repo. Being a maintainer, you've got read-write access. It's good to have your upstream remote have a scary name, to remind you that it's a read-write remote:: git remote add upstream-rw git@github.com:sfepy/sfepy.git git fetch upstream-rw ******************* Integrating changes ******************* Let's say you have some changes that need to go into trunk (``upstream-rw/master``). The changes are in some branch that you are currently on. For example, you are looking at someone's changes like this:: git remote add someone git://github.com/someone/sfepy.git git fetch someone git branch cool-feature --track someone/cool-feature git checkout cool-feature So now you are on the branch with the changes to be incorporated upstream. The rest of this section assumes you are on this branch. A few commits ============= If there are only a few commits, consider rebasing to upstream:: # Fetch upstream changes git fetch upstream-rw # rebase git rebase upstream-rw/master Remember that, if you do a rebase, and push that, you'll have to close any github pull requests manually, because github will not be able to detect the changes have already been merged. A long series of commits ======================== If there are a longer series of related commits, consider a merge instead:: git fetch upstream-rw git merge --no-ff upstream-rw/master The merge will be detected by github, and should close any related pull requests automatically. Note the ``--no-ff`` above. This forces git to make a merge commit, rather than doing a fast-forward, so that these set of commits branch off trunk then rejoin the main history with a merge, rather than appearing to have been made directly on top of trunk. Check the history ================= Now, in either case, you should check that the history is sensible and you have the right commits:: git log --oneline --graph git log -p upstream-rw/master.. The first line above just shows the history in a compact way, with a text representation of the history graph. The second line shows the log of commits excluding those that can be reached from trunk (``upstream-rw/master``), and including those that can be reached from current HEAD (implied with the ``..`` at the end). So, it shows the commits unique to this branch compared to trunk. The ``-p`` option shows the diff for these commits in patch form. Push to trunk ============= :: git push upstream-rw my-new-feature:master This pushes the ``my-new-feature`` branch in this repository to the ``master`` branch in the ``upstream-rw`` repository. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/patching.rst000066400000000000000000000076611247364230400217670ustar00rootroot00000000000000================ Making a patch ================ You've discovered a bug or something else you want to change in `SfePy`_ .. |emdash| excellent! You've worked out a way to fix it |emdash| even better! You want to tell us about it |emdash| best of all! The easiest way is to make a *patch* or set of patches. Here we explain how. Making a patch is the simplest and quickest, but if you're going to be doing anything more than simple quick things, please consider following the :ref:`git-development` model instead. .. _making-patches: Making patches ============== Overview -------- :: # tell git who you are git config --global user.email you@yourdomain.example.com git config --global user.name "Your Name Comes Here" # get the repository if you don't have it git clone git://github.com/sfepy/sfepy.git # make a branch for your patching cd sfepy git branch the-fix-im-thinking-of git checkout the-fix-im-thinking-of # hack, hack, hack # Tell git about any new files you've made git add somewhere/tests/test_my_bug.py # commit work in progress as you go git commit -am 'BF - added tests for Funny bug' # hack hack, hack git commit -am 'BF - added fix for Funny bug' # make the patch files git format-patch -M -C master Then, send the generated patch files to the `SfePy mailing list`_ |emdash| where we will thank you warmly. In detail --------- #. Tell git who you are so it can label the commits you've made:: git config --global user.email you@yourdomain.example.com git config --global user.name "Your Name Comes Here" #. If you don't already have one, clone a copy of the `SfePy`_ repository:: git clone git://github.com/sfepy/sfepy.git cd sfepy #. Make a 'feature branch'. This will be where you work on your bug fix. It's nice and safe and leaves you with access to an unmodified copy of the code in the main branch:: git branch the-fix-im-thinking-of git checkout the-fix-im-thinking-of #. Do some edits, and commit them as you go:: # hack, hack, hack # Tell git about any new files you've made git add somewhere/tests/test_my_bug.py # commit work in progress as you go git commit -am 'BF - added tests for Funny bug' # hack hack, hack git commit -am 'BF - added fix for Funny bug' Note the ``-am`` options to ``commit``. The ``m`` flag just signals that you're going to type a message on the command line. The ``a`` flag |emdash| you can just take on faith |emdash| or see `why the -a flag?`_. #. When you have finished, check you have committed all your changes:: git status #. Finally, make your commits into patches. You want all the commits since you branched from the ``master`` branch:: git format-patch -M -C master You will now have several files named for the commits:: 0001-BF-added-tests-for-Funny-bug.patch 0002-BF-added-fix-for-Funny-bug.patch Send these files to the `SfePy mailing list`_. When you are done, to switch back to the main copy of the code, just return to the ``master`` branch:: git checkout master Moving from patching to development =================================== If you find you have done some patches, and you have one or more feature branches, you will probably want to switch to development mode. You can do this with the repository you have. Fork the `SfePy`_ repository on github |emdash| :ref:`forking`. Then:: # checkout and refresh master branch from main repo git checkout master git pull origin master # rename pointer to main repository to 'upstream' git remote rename origin upstream # point your repo to default read / write to your fork on github git remote add origin git@github.com:your-user-name/sfepy.git # push up any branches you've made and want to keep git push origin the-fix-im-thinking-of Then you can, if you want, follow the :ref:`development-workflow`. .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/pull_button.png000066400000000000000000000311351247364230400225060ustar00rootroot00000000000000PNG  IHDR~\iu pHYs   IDATx]|ToߔMHH PKT,"S, O}%"]zHR@dw޽fIBB$a&{3s̙3s72p8 G# ?G#p!}p]G#?G#p!}p]G#?G#p!HKKCVVVuNPF C./y>xbpˏUVe͛7׭=Obyyy()6c\,4lYѬ)4,= {$H& 0,n8^CtqѸ˱gEsZzl6~?vu;Oͽyv+gkx G#}كSԩSª8xy$;w}Z*.6.O[B$ɴ r)ɝĻB? 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Overview ======== :: git clone git@github.com:your-user-name/sfepy.git cd sfepy git remote add upstream git://github.com/sfepy/sfepy.git In detail ========= Clone your fork --------------- #. Clone your fork to the local computer with ``git clone git@github.com:your-user-name/sfepy.git`` #. Investigate. Change directory to your new repo: ``cd sfepy``. Then ``git branch -a`` to show you all branches. You'll get something like:: * master remotes/origin/master This tells you that you are currently on the ``master`` branch, and that you also have a ``remote`` connection to ``origin/master``. What remote repository is ``remote/origin``? Try ``git remote -v`` to see the URLs for the remote. They will point to your github fork. Now you want to connect to the upstream `SfePy github`_ repository, so you can merge in changes from trunk. .. _linking-to-upstream: Linking your repository to the upstream repo -------------------------------------------- :: cd sfepy git remote add upstream git://github.com/sfepy/sfepy.git ``upstream`` here is just the arbitrary name we're using to refer to the main `SfePy`_ repository at `SfePy github`_. Note that we've used ``git://`` for the URL rather than ``git@``. The ``git://`` URL is read only. This means we that we can't accidentally (or deliberately) write to the upstream repo, and we are only going to use it to merge into our own code. Just for your own satisfaction, show yourself that you now have a new 'remote', with ``git remote -v show``, giving you something like:: upstream git://github.com/sfepy/sfepy.git (fetch) upstream git://github.com/sfepy/sfepy.git (push) origin git@github.com:your-user-name/sfepy.git (fetch) origin git@github.com:your-user-name/sfepy.git (push) .. include:: links.inc sfepy-release_2015.1/doc/dev/gitwash/this_project.inc000066400000000000000000000002371247364230400226200ustar00rootroot00000000000000.. SfePy .. _`SfePy`: http://sfepy.org .. _`SfePy github`: http://github.com/sfepy/sfepy .. _`SfePy mailing list`: http://groups.google.com/group/sfepy-devel sfepy-release_2015.1/doc/developer_guide.rst000066400000000000000000001070631247364230400211050ustar00rootroot00000000000000.. highlight:: python :linenothreshold: 3 .. include:: links.inc .. _developer_guide: Developer Guide =============== .. contents:: Table of Contents :local: :backlinks: top This section purports to document the *SfePy* internals. It is mainly useful for those who wish to contribute to the development of *SfePy* and understand the inner workings of the code. SfePy Directory Structure ------------------------- Here we list and describe the directories that are in the main sfepy directory. .. list-table:: Top directory structure. :widths: 10 90 :header-rows: 1 * - name - description * - `build/` - directory created by the build process (generated) * - `doc/` - source files of this documentation * - `examples/` - example problem description files * - `meshes/` - finite element mesh files in various formats shared by the examples * - `output/` - default output directory for storing results of the examples * - `output-tests/` - output directory for tests * - `script/` - various small scripts (simple mesh generators, mesh format convertors etc.) * - `sfepy/` - the source code * - `tests/` - the tests run by `run_tests.py` * - `tmp/` - directory for temporary files (generated) New users/developers (after going through the :ref:`sec-tutorial`) should explore the `examples/` directory. For developers, the principal directory is `sfepy/`, which has the following contents: .. list-table:: `sfepy/` directory structure. :widths: 10 80 10 :header-rows: 1 * - name - description - field-specific * - `applications/` - top level application classes (e.g. :class:`PDESolverApp` that implements all that `simple.py` script does) - * - `base/` - common utilities and classes used by most of the other modules - * - `discrete/` - general classes and modules for describing a discrete problem, taking care of boundary conditions, degrees of freedom, approximations, variables, equations, meshes, regions, quadratures, etc. Discretization-specific classes are in subdirectories: - `common/` - common parent classes for discretization-specific classes - `fem/` - finite element specific classes - `iga/` - isogeometric analysis specific classes - * - `mesh/` - some utilities to interface with tetgen and triangle mesh generators - * - `homogenization/` - the homogenization engine and supporting modules - highly specialized code, one of the reasons of *SfePy* existence - * * - `linalg/` - linear algebra functions not covered by NumPy and SciPy - * - `mechanics/` - modules for (continuum) mechanics: elastic constant conversions, tensor, units utilities, etc. - * * - `optimize/` - modules for shape optimization based on free-form deformation - * * - `physics/` - small utilities for quantum physics (`schroedinger.py`) - * * - `postprocess/` - Mayavi-based post-processing modules (`postproc.py`) - * - `solvers/` - interface classes to various internal/external solvers (linear, nonlinear, eigenvalue, optimization, time stepping) - * - `terms/` - implementation of the terms (weak formulation integrals), see :ref:`term_overview` - The directories in the "field-specific" column are mostly interesting for specialists working in the respective fields. The `fem/` is the heart of the code, while the `terms/` contains the particular integral forms usable to build equations - new term writers should look there. Exploring the Code ------------------ It is convenient to install IPython (see also :ref:`using-ipython`) to have the tab completion available. Moreover, all SfePy classes can be easily examined by printing them:: In [1]: from sfepy.discrete.fem import Mesh In [2]: mesh = Mesh.from_file('meshes/2d/rectangle_tri.mesh') sfepy: reading mesh [line2, tri3, quad4, tetra4, hexa8] (meshes/2d/rectangle_tri.mesh)... sfepy: ...done in 0.00 s In [3]: mesh Out[3]: Mesh:meshes/2d/rectangle_tri In [4]: print mesh Mesh:meshes/2d/rectangle_tri conns: list: [array([[ 59, 0, 60], [ 60, 0, 2], [ 11, 32, 64], ..., [254, 250, 251], [251, 256, 257], [257, 254, 251]], dtype=int32)] coors: (258, 2) array of float64 descs: list: ['2_3'] dim: 2 dims: list: [2] el_offsets: (2,) array of int64 io: None mat_ids: list: [array([3, 3, 3, ..., 3, 3, 3], dtype=int32)] n_e_ps: (1,) array of int64 n_el: 454 n_els: (1,) array of int64 n_nod: 258 name: meshes/2d/rectangle_tri ngroups: (258,) array of float64 nodal_bcs: dict with keys: [] setup_done: 0 We recommend going through the interactive example in the tutorial :ref:`sec-interactive-example-linear-elasticity` in this way, printing all the variables. Another useful tool is the :func:`debug() ` function, that can be used as follows:: from sfepy.base.base import debug; debug() Try to use it in the examples with user defined functions to explore their parameters etc. It works best with IPython installed, as then the tab completion is available also when debugging. .. _how_to_contribute: How to Contribute ----------------- Read this section if you wish to contribute some work to the *SfePy* project. Contributions can be made in a variety of forms, not just code. Reporting bugs and contributing to the documentation, tutorials, and examples is in great need! Below we describe #. where to report or find current problems, issues, and suggestions of particular topics for additional development #. what to do to apply changes/fixes #. what to do after you made your changes/fixes Reporting problems ^^^^^^^^^^^^^^^^^^ *Reporting a bug is the first way in which to contribute to an open source project* Short version: go to the main `SfePy`_ and follow the links given there. When you encounter a problem, try searching that site first - an answer may already be posted in the `SfePy mailing list`_ (to which we suggest you subscribe...), or the problem might have been added to the `SfePy issues`_ web page. As is true in any open source project, doing your homework by searching for existing known problems greatly reduces the burden on the developers by eliminating duplicate issues. If you find your problem already exists in the issue tracker, feel free to gather more information and append it to the issue. In case the problem is not there, create a new issue with proper labels for the issue type and priority, and/or ask us using the mailing list. **Note** A google account (e.g., gmail account) is needed to join the mailing list and post comments to issues. It is, however, not needed to create a new issue. **Note** When reporting a problem, try to provide as much information as possible concerning the version of *SfePy*, the OS / Linux distribution, and the versions of *Python*, *NumPy* and *SciPy*, and other prerequisites. Our persisting all star top priority issues include: * missing docstrings in many functions/classes/modules * incomplete documentation * lowering the barrier for new users * e.g., through generation of additional tutorial material So if you are a new user, please let us know what difficulties you have with this documentation. We greatly welcome a variety of contributions not limited to code only. Making changes ^^^^^^^^^^^^^^ This step is simple, just keep in mind to use the latest development version of the code from the `SfePy git repository`_ page. We use `git`_ to track source code, documentation, examples, and other files related to the project. It is not necessary to learn git in order to contribute to *SfePy* but we strongly suggest you do so as soon as possible - it is an extremely useful tool not just for writing code, but also for tracking revisions of articles, Ph.D. theses, books, ... it will also look well in your CV :-) It is also much easier for us to integrate changes that are in form of a nice git patch than in another form. Having said that, to download the latest snapshot, do either (with git): - git clone git://github.com/sfepy/sfepy.git or (without git): - use the `SfePy tarball`_ link Then make the changes as you wish, following our :ref:`coding_style`. **Note** Do not be afraid to experiment - git works with your *local* copy of the repository, so it is not possible to damage the master repository. It is always possible to re-clone a fresh copy, in case you do something that is really bad. .. _coding_style: Coding style ^^^^^^^^^^^^ All the code in SfePy should try to adhere to python style guidelines, see `PEP-0008`_. There are some additional recommendations: - Prefer whole words to abbreviations in public APIs - there is completion after all. If some abbreviation is needed (*really* too long name), try to make it as comprehensible as possible. Also check the code for similar names - try to name things consistently with the existing code. Examples: - yes: ``equation``, ``transform_variables()``, ``filename`` - rather not: ``eq``, ``transvar()``, ``fname`` - Functions have usually form ``_()`` e.g.: ``save_data()``, ``transform_variables()``, do not use ``data_save()``, ``variable_transform()`` etc. - Variables like ``V``, ``c``, ``A``, ``b``, ``x`` should be tolerated only locally when expressing mathematical ideas. Really minor recommendations: - Avoid single letter names, if you can: - not even for loop variables - use e.g. ir, ic, ... instead of i, j for rows and columns - not even in generators, as they "leak" (this is fixed in Python 3.x) These are recommendations only, we will not refuse code just on the ground that it uses slightly different formatting, as long as it follows the PEP. Note: some old parts of the code might not follow the PEP, yet. We fix them progressively as we update the code. Contributing changes ^^^^^^^^^^^^^^^^^^^^ Even if you do not use git, try to follow the spirit of :ref:`notes_patches` Without git """"""""""" Without using git, send the modified files to the `SfePy mailing list`_ or attach them using gist to the corresponding issue at the `Issues`_ web page. Do not forget to describe the changes properly. With git """""""" .. toctree:: :hidden: dev/gitwash/index **Note**: This section will get quickly get you started using git and github. For more in-depth reading about how these tools work with the *SfePy* source code and the general git development, read :ref:`using-git`, which was adapted from Matthew Brett's excellent `gitwash`_ git tutorial. With git there are some additional options for how to send changes to *SfePy*. Before listing them, let us describe a typical development session and the related git commands: #. Either clone a fresh copy by:: git clone git://github.com/sfepy/sfepy.git or update your local repository:: # look for changes at origin git fetch origin # difference between local and origin master branch git diff master origin/master # apply the changes to local master branch git pull origin master #. Introduce yourself to git and make (optionally) some handy aliases either in ``.gitconfig`` in your home directory (global setting for all your git projects), or directly in ``.git/config`` in the repository:: [user] email = mail@mail.org name = Name Surname [color] ui = auto interactive = true [alias] ci = commit di = diff --color-words st = status co = checkout #. Change some file(s), and review the changes:: # text diff git diff # use GUI to visualize of project history (all branches) gitk --all #. Create one or more commits:: # schedule some of the changed files for the next commit git add file1 file2 ... # an editor will pop up where you should describe the commit git commit #. The commit(s) now reflect changes, but only in your *local* git repository. Then you must somehow allow others to see them. This can be done, for example, by sending a patch (or through the other option below). So create the patch(es):: # create patches for, e.g., the last two commits git format-patch HEAD~2 #. Send the patch(es) to the `SfePy mailing list`_ or attach them to the corresponding issue at the `Issues`_ web page. #. If the patches are fine, they will appear in the master repository. Then synchronize your repository with the master: - either clone a fresh copy - or use the fetch, pull, merge or rebase commands. This may require a deeper git-fu in case of conflicts. For beginners, it is advisable to clone always a fresh copy if they see a conflict. There is another option than submitting patches, however, useful when you wish to get feedback on a larger set of changes. This option is to publish your repository using `Github`_ and let the other developers know about it - follow the instructions in :ref:`git-development` of :ref:`using-git`. .. _notes_patches: Notes on commits and patches """""""""""""""""""""""""""" - Follow our :ref:`coding_style`. - Do not use lines longer than 79 characters (exception: tables of values, e.g., quadratures). - Write descriptive docstrings in correct style, see :ref:`docstrings`. - There should be one patch for one topic - do not mix unrelated things in one patch. For example, when you add a new function, then notice a typo in docstring in a nearby function and correct it, create two patches: one fixing the docstring, the other adding the new function. - The commit message and description should clearly state what the patch does. Try to follow the style of other commit messages. Some interesting notes can be found at `tbaggery.com`_, namely that the commit message is better to be written in the present tense: "fix bug" and not "fixed bug". .. _docstrings: Docstring standard """""""""""""""""" We use `sphinx`_ with the `numpydoc`_ extension to generate this documentation. Refer to the sphinx site for the possible markup constructs. Basically (with a little tweak), we try to follow the NumPy/SciPy docstring standard as described in `NumPy documentation guide`_. See also the complete `docstring example`_. It is exaggerated a bit to show all the possibilities. Use your common sense here - the docstring should be sufficient for a new user to use the documented object. A good way to remember the format is to type:: In [1]: import numpy as nm In [2]: nm.sin? in `ipython`. The little tweak mentioned above is the starting newline:: def function(arg1, arg2): """ This is a function. Parameters ---------- arg1 : array The coordinates of ... arg2 : int The dimension ... Returns ------- out : array The resulting array of shape .... """ It seems visually better than:: def function(arg1, arg2): """This is a function. Parameters ---------- arg1 : array The coordinates of ... arg2 : int The dimension ... Returns ------- out : array The resulting array of shape .... """ When using :math:`\mbox{\LaTeX}` in a docstring, use a raw string:: def function(): r""" This is a function with :math:`\mbox{\LaTeX}` math: :math:`\frac{1}{\pi}`. """ to prevent Python from interpreting and consuming the backslashes in common escape sequences like '\\n', '\\f' etc. .. _how_to_regenerate_documentation: How to Regenerate Documentation ------------------------------- The following steps summarize how to regenerate this documentation. #. Install `sphinx`_ and `numpydoc`_. Do not forget to set the path to numpydoc in site_cfg.py if it is not installed in a standard location for Python packages on your platform. A recent :math:`\mbox{\LaTeX}` distribution is required, too, for example `TeX Live`_. Depending on your OS/platform, it can be in the form of one or several packages. #. Edit the rst files in `doc/` directory using your favorite text editor - the ReST format is really simple, so nothing fancy is needed. Follow the existing files in `doc/`; for reference also check `reStructuredText Primer`_, `Sphinx Markup Constructs`_ and `docutils reStructuredText`_. - When adding a new Python module, add a corresponding documentation file into `doc/src/sfepy/`, where `` should reflect the location of the module in `sfepy/`. - Figures belong to `doc/images`; subdirectories can be used. #. (Re)generate the documentation (assuming GNU make is installed):: cd doc make html #. View it (substitute your favorite browser):: firefox _build/html/index.html How to Implement a New Term --------------------------- *tentative documentation* **Warning** Implementing a new term usually involves C. As Cython is now supported by our build system, it should not be that difficult. Python-only terms are possible as well. Notes on terminology ^^^^^^^^^^^^^^^^^^^^ *Volume* refers to the whole domain (in space of dimension :math:`d`), while *surface* to a subdomain of dimension :math:`d-1`, for example a part of the domain boundary. So in 3D problems volume = volume, surface = surface, while in 2D volume = area, surface = curve. Introduction ^^^^^^^^^^^^ A term in *SfePy* usually corresponds to a single integral term in (weak) integral formulation of an equation. Both volume and surface integrals are supported. There are three types of arguments a term can have: - *variables*, i.e. the unknown, test or parameter variables declared by the `variables` keyword, see :ref:`sec-problem-description-file`, - *materials*, corresponding to material and other parameters (functions) that are known, declared by the `materials` keyword, - *user data* - anything, but user is responsible for passing them to the evaluation functions. Terms come in two flavors: - standard terms are subclasses of :class:`sfepy.terms.terms.Term` - *new* terms are subclasses of :class:`sfepy.terms.terms_new.NewTerm` As new terms are now not much more than a highly experimental proof of concept, we will focus on the standard terms here. The purpose of a standard term class is to implement a (vectorized) function that assembles the term contribution to residual/matrix and/or evaluates the term integral in a group of elements simultaneously. Most such functions are currently implemented in C, but some terms are pure Python, vectorized using NumPy. A term with a C function needs to be able to extract the real data from its arguments and then pass those data to the C function. Evaluation modes ^^^^^^^^^^^^^^^^ A term can support several evaluation modes, as described in :ref:`term_evaluation`. Basic attributes ^^^^^^^^^^^^^^^^ A term class should inherit from :class:`sfepy.terms.terms.Term` base class. The simplest possible term with volume integration and 'weak' evaluation mode needs to have the following attributes and methods: - docstring (not really required per se, but we require it); - `name` attribute - the name to be used in `equations`; - `arg_types` attribute - the types of arguments the term accepts; - `integration` attribute, optional - the kind of integral the term implements, one of `'volume'` (the default, if not given), `'surface'` or `'surface_extra'`; - `function()` static method - the assembling function; - `get_fargs()` method - the method that takes term arguments and converts them to arguments for `function()`. Argument types """""""""""""" The argument types can be ("[_*]" denotes an optional suffix): - `'material[_*]'` for a material parameter, i.e. any function that can be can evaluated in quadrature points and that is not a variable; - `'opt_material[_*]'` for an optional material parameter, that can be left out - there can be only one in a term and it must be the first argument; - `'virtual'` for a virtual (test) variable (no value defined), `'weak'` evaluation mode; - `'state[_*]'` for state (unknown) variables (have value), `'weak'` evaluation mode; - `'parameter[_*]'` for parameter variables (have known value), any evaluation mode. Only one `'virtual'` variable is allowed in a term. Integration kinds """"""""""""""""" The integration kinds have the following meaning: - `'volume'` for volume integral over a region that contains elements; uses volume element connectivity for assembling; - `'surface'` for surface integral over a region that contains faces; uses surface face connectivity for assembling; - `'surface_extra'` for surface integral over a region that contains faces; uses volume element connectivity for assembling - this is needed if full gradients of a variable are required on the boundary. `function()` """""""""""" The `function()` static method has always the following arguments:: out, *args where `out` is the already preallocated output array (change it in place!) and `*args` are any other arguments the function requires. These function arguments have to be provided by the `get_fargs()` method. The function returns zero `status` on success, nonzero on failure. The `out` array has shape `(n_el, 1, n_row, n_col)`, where `n_el` is the number of elements in a group and `n_row`, `n_col` are matrix dimensions of the value on a single element. `get_fargs()` """"""""""""" The `get_fargs()` method has always the same structure of arguments: - positional arguments corresponding to `arg_types` attribute: - example for a typical weak term: - for:: arg_types = ('material', 'virtual', 'state') the positional arguments are:: material, virtual, state - keyword arguments common to all terms:: mode=None, term_mode=None, diff_var=None, **kwargs here: - `mode` is the actual evaluation mode, default is `'eval'`; - `term_mode` is an optional term sub-mode influencing what the term should return (example: `dw_tl_he_neohook` term has 'strain' and 'stress' evaluation sub-modes); - `diff_var` is taken into account in the `'weak'` evaluation mode. It is either `None` (residual mode) or a name of variable with respect to differentiate to (matrix mode); - `**kwargs` are any other arguments that the term supports. The `get_fargs()` method returns arguments for `function()`. Additional attributes ^^^^^^^^^^^^^^^^^^^^^ These attributes are used mostly in connection with the `tests/test_term_call_modes.py` test for automatic testing of term calls. - `arg_shapes` attribute - the possible shapes of term arguments; - `geometries` attribute - the list of reference element geometries that the term supports; - `mode` attribute - the default evaluation mode. Argument shapes """"""""""""""" The argument shapes are specified using a dict of the following form:: arg_shapes = {'material' : 'D, D', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1} The keys are the argument types listed in the `arg_types` attribute, for example:: arg_types = (('material', 'virtual', 'state'), ('material', 'parameter_1', 'parameter_2')) The values are the shapes containing either integers, or 'D' (for space dimension) or 'S' (symmetric storage size corresponding to the space dimension). For materials, the shape is a string `'nr, nc'` or a single value, denoting a special-valued term, or `None` denoting an optional material that is left out. For state and parameter variables, the shape is a single value. For virtual variables, the shape is a tuple of a single shape value and a name of the corresponding state variable; the name can be `None`. When several alternatives are possible, a list of dicts can be used. For convenience, only the shapes of arguments that change w.r.t. a previous dict need to be included, as the values of the other shapes are taken from the previous dict. For example, the following corresponds to a case, where an optional material has either the shape (1, 1) in each point, or is left out:: arg_types = ('opt_material', 'parameter') arg_shapes = [{'opt_material' : '1, 1', 'parameter' : 1}, {'opt_material' : None}] Geometries """""""""" The default that most terms use is a list of all the geometries:: geometries = ['2_3', '2_4', '3_4', '3_8'] In that case, the attribute needs not to be define explicitly. Example ^^^^^^^ Let us now discuss the implementation of a simple weak term `dw_volume_integrate` defined as :math:`\int_\Omega c q`, where :math:`c` is a weight (material parameter) and :math:`q` is a virtual variable. This term is implemented as follows:: class IntegrateVolumeOperatorTerm(Term): r""" Volume integral of a test function weighted by a scalar function :math:`c`. :Definition: .. math:: \int_\Omega q \mbox{ or } \int_\Omega c q :Arguments: - material : :math:`c` (optional) - virtual : :math:`q` """ name = 'dw_volume_integrate' arg_types = ('opt_material', 'virtual') arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, None)}, {'opt_material' : None}] @staticmethod def function(out, material, bf, geo): bf_t = nm.tile(bf.transpose((0, 1, 3, 2)), (out.shape[0], 1, 1, 1)) bf_t = nm.ascontiguousarray(bf_t) if material is not None: status = geo.integrate(out, material * bf_t) else: status = geo.integrate(out, bf_t) return status def get_fargs(self, material, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): assert_(virtual.n_components == 1) geo, _ = self.get_mapping(virtual) return material, geo.bf, geo - lines 2-14: the docstring - always write one! - line 15: the name of the term, that can be referred to in equations; - line 16: the argument types - here the term takes a single material parameter, and a virtual variable; - lines 17-18: the possible argument shapes - lines 20-28: the term function - its arguments are: - the output array `out`, already having the required shape, - the material coefficient (array) `mat` evaluated in physical quadrature points of all elements of an element group, - a base function (array) `bf` evaluated in the quadrature points of a reference element and - a reference element (geometry) mapping `geo`. - line 22: transpose the base function and tile it so that is has the correct shape - it is repeated for each element; - line 23: ensure C contiguous order; - lines 24-27: perform numerical integration in C - `geo.integrate()` requires the C contiguous order; - line 28: return the status. - lines 30-35: prepare arguments for the function above: - line 32: verify that the variable is scalar, as our implementation does not support vectors; - line 33: get reference element mapping corresponding to the virtual variable; - line 35: return the arguments for the function. Concluding remarks ^^^^^^^^^^^^^^^^^^ This is just a very basic introduction to the topic of new term implementation. Do not hesitate to ask the `SfePy mailing list`_, and look at the source code of the already implemented terms. How To Make a Release --------------------- .. toctree:: :maxdepth: 2 release_tasks .. _using-git: Working with *SfePy* source code -------------------------------- This section was adapted from Matthew Brett's excellent `gitwash`_ git tutorial. It complements the above sections and details several aspects of working with Git and Github. It can be updated by running:: $ curl -O https://raw.github.com/matthew-brett/gitwash/master/gitwash_dumper.py $ python gitwash_dumper.py doc/dev SfePy --repo-name=sfepy --github-user=sfepy --project-url=http://sfepy.org --project-ml-url=http://groups.google.com/group/sfepy-devel in the SfePy source directory. Do not forget to delete the section title in `doc/dev/gitwash/index.rst`, as it is already here. .. toctree:: :maxdepth: 2 dev/gitwash/index Module Index ------------ Main scripts ^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/extractor src/homogen src/phonon src/postproc src/probe src/run_tests src/schroedinger src/shaper src/simple Utility scripts ^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/build_helpers src/test_install src/script/blockgen src/script/convert_mesh src/script/cylindergen src/script/edit_identifiers src/script/eval_ns_forms src/script/eval_tl_forms src/script/extract_surface src/script/gen_gallery src/script/gen_iga_patch src/script/gen_lobatto1d_c src/script/gen_mesh_prev src/script/gen_term_table src/script/plot_condition_numbers src/script/plot_logs src/script/plot_mesh src/script/plot_quadratures src/script/plot_times src/script/save_basis src/script/show_authors src/script/show_terms_use src/script/sync_module_docs src/script/tile_periodic_mesh sfepy package ^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/config src/sfepy/version sfepy.applications package ^^^^^^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/applications/application src/sfepy/applications/pde_solver_app sfepy.base package ^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/base/base src/sfepy/base/compat src/sfepy/base/conf src/sfepy/base/getch src/sfepy/base/goptions src/sfepy/base/ioutils src/sfepy/base/log src/sfepy/base/log_plotter src/sfepy/base/mem_usage src/sfepy/base/parse_conf src/sfepy/base/plotutils src/sfepy/base/reader src/sfepy/base/resolve_deps src/sfepy/base/testing sfepy.discrete package ^^^^^^^^^^^^^^^^^^^^^^ This package implements various PDE discretization schemes (FEM or IGA). .. toctree:: :maxdepth: 2 src/sfepy/discrete/conditions src/sfepy/discrete/equations src/sfepy/discrete/evaluate src/sfepy/discrete/evaluate_variable src/sfepy/discrete/functions src/sfepy/discrete/integrals src/sfepy/discrete/mass_operator src/sfepy/discrete/materials src/sfepy/discrete/parse_equations src/sfepy/discrete/parse_regions src/sfepy/discrete/probes src/sfepy/discrete/problem src/sfepy/discrete/projections src/sfepy/discrete/quadratures src/sfepy/discrete/simplex_cubature src/sfepy/discrete/state src/sfepy/discrete/variables sfepy.discrete.common sub-package """"""""""""""""""""""""""""""""" Common lower-level code and parent classes for FEM and IGA. .. toctree:: :maxdepth: 2 src/sfepy/discrete/common/dof_info src/sfepy/discrete/common/domain src/sfepy/discrete/common/fields src/sfepy/discrete/common/mappings src/sfepy/discrete/common/region sfepy.discrete.fem sub-package """""""""""""""""""""""""""""" .. toctree:: :maxdepth: 2 src/sfepy/discrete/fem/domain src/sfepy/discrete/fem/extmods/_fmfield src/sfepy/discrete/fem/extmods/_geommech src/sfepy/discrete/fem/extmods/assemble src/sfepy/discrete/fem/extmods/bases src/sfepy/discrete/fem/extmods/cmesh src/sfepy/discrete/fem/extmods/lobatto_bases src/sfepy/discrete/fem/extmods/mappings src/sfepy/discrete/fem/facets src/sfepy/discrete/fem/fe_surface src/sfepy/discrete/fem/fea src/sfepy/discrete/fem/fields_base src/sfepy/discrete/fem/fields_hierarchic src/sfepy/discrete/fem/fields_nodal src/sfepy/discrete/fem/geometry_element src/sfepy/discrete/fem/global_interp src/sfepy/discrete/fem/history src/sfepy/discrete/fem/lcbc_operators src/sfepy/discrete/fem/linearizer src/sfepy/discrete/fem/mappings src/sfepy/discrete/fem/mesh src/sfepy/discrete/fem/meshio src/sfepy/discrete/fem/periodic src/sfepy/discrete/fem/poly_spaces src/sfepy/discrete/fem/refine src/sfepy/discrete/fem/utils sfepy.discrete.iga sub-package """""""""""""""""""""""""""""" .. toctree:: :maxdepth: 2 src/sfepy/discrete/iga/domain src/sfepy/discrete/iga/domain_generators src/sfepy/discrete/iga/extmods/igac src/sfepy/discrete/iga/fields src/sfepy/discrete/iga/iga src/sfepy/discrete/iga/io src/sfepy/discrete/iga/mappings src/sfepy/discrete/iga/plot_nurbs src/sfepy/discrete/iga/utils sfepy.homogenization package ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/homogenization/band_gaps_app src/sfepy/homogenization/coefficients src/sfepy/homogenization/coefs_base src/sfepy/homogenization/coefs_elastic src/sfepy/homogenization/coefs_perfusion src/sfepy/homogenization/coefs_phononic src/sfepy/homogenization/convolutions src/sfepy/homogenization/engine src/sfepy/homogenization/homogen_app src/sfepy/homogenization/micmac src/sfepy/homogenization/recovery src/sfepy/homogenization/utils sfepy.linalg package ^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/linalg/check_derivatives src/sfepy/linalg/eigen src/sfepy/linalg/geometry src/sfepy/linalg/sparse src/sfepy/linalg/utils src/sfepy/linalg/extmods/crcm sfepy.mechanics package ^^^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/mechanics/contact_bodies src/sfepy/mechanics/elastic_constants src/sfepy/mechanics/matcoefs src/sfepy/mechanics/membranes src/sfepy/mechanics/tensors src/sfepy/mechanics/units sfepy.mesh package ^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/mesh/geom_tools src/sfepy/mesh/mesh_generators src/sfepy/mesh/mesh_tools src/sfepy/mesh/splinebox sfepy.optimize package ^^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/optimize/free_form_def src/sfepy/optimize/shape_optim sfepy.physics package ^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/physics/potentials src/sfepy/physics/schroedinger_app sfepy.postprocess package ^^^^^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/postprocess/dataset_manager src/sfepy/postprocess/domain_specific src/sfepy/postprocess/plot_cmesh src/sfepy/postprocess/plot_dofs src/sfepy/postprocess/plot_facets src/sfepy/postprocess/plot_quadrature src/sfepy/postprocess/probes_vtk src/sfepy/postprocess/sources src/sfepy/postprocess/time_history src/sfepy/postprocess/utils src/sfepy/postprocess/utils_vtk src/sfepy/postprocess/viewer sfepy.solvers package ^^^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 src/sfepy/solvers/eigen src/sfepy/solvers/ls src/sfepy/solvers/nls src/sfepy/solvers/optimize src/sfepy/solvers/oseen src/sfepy/solvers/petsc_worker src/sfepy/solvers/semismooth_newton src/sfepy/solvers/solvers src/sfepy/solvers/ts src/sfepy/solvers/ts_solvers sfepy.terms package ^^^^^^^^^^^^^^^^^^^ .. toctree:: :maxdepth: 2 terms_overview src/sfepy/terms/terms src/sfepy/terms/terms_acoustic src/sfepy/terms/terms_adj_navier_stokes src/sfepy/terms/terms_basic src/sfepy/terms/terms_biot src/sfepy/terms/terms_constraints src/sfepy/terms/terms_diffusion src/sfepy/terms/terms_dot src/sfepy/terms/terms_elastic src/sfepy/terms/terms_electric src/sfepy/terms/terms_fibres src/sfepy/terms/terms_hyperelastic_base src/sfepy/terms/terms_hyperelastic_tl src/sfepy/terms/terms_hyperelastic_ul src/sfepy/terms/terms_membrane src/sfepy/terms/terms_navier_stokes src/sfepy/terms/terms_new src/sfepy/terms/terms_piezo src/sfepy/terms/terms_point src/sfepy/terms/terms_surface src/sfepy/terms/terms_th src/sfepy/terms/terms_volume src/sfepy/terms/utils src/sfepy/terms/extmods/terms sfepy-release_2015.1/doc/development.rst000066400000000000000000000016531247364230400202630ustar00rootroot00000000000000.. include:: links.inc Development =========== If you are interested in working with us, let us know using `our mailing list`_! Then we recommend reading the :ref:`how_to_contribute` section of our :ref:`developer_guide`. We are interested in any contribution. There are many ways how you can contribute, not just code: - You can report bugs using `our mailing list`_. You can also add a bug report (or a comment) into the `issues`_. - You can contribute interesting examples/tutorials. - You can blog about how you use SfePy (let us know!). - You can help with improving our documentation and these pages. - ... Additional ideas can be found at `our wiki`_. To get acquainted with SfePy, you can start by reading the :ref:`sec-tutorial` and :ref:`sec-primer` sections of the documentation and trying out the examples that come with the sources. Your first contribution could be pinpointing anything that is not clear in the docs. sfepy-release_2015.1/doc/downloads.rst000066400000000000000000000010471247364230400177300ustar00rootroot00000000000000Downloads ========= See :ref:`introduction_installation` for additional information. Sources: -------- `latest and previous releases <_static/downloads.php>`_ Git repository: --------------- download the repository (read-only):: git clone git://github.com/sfepy/sfepy.git download the repository (read-write, permission needed):: git clone git@github.com:sfepy/sfepy.git web access (fork the repository there if you wish to help): http://github.com/sfepy/sfepy latest snapshot: http://github.com/sfepy/sfepy/archives/master sfepy-release_2015.1/doc/doxygen.config000066400000000000000000000175461247364230400200630ustar00rootroot00000000000000# Doxyfile 1.3.4 #--------------------------------------------------------------------------- # Project related configuration options #--------------------------------------------------------------------------- PROJECT_NAME = SfePy PROJECT_NUMBER = X.Y OUTPUT_DIRECTORY = doc OUTPUT_LANGUAGE = English USE_WINDOWS_ENCODING = NO BRIEF_MEMBER_DESC = YES REPEAT_BRIEF = YES ALWAYS_DETAILED_SEC = NO INLINE_INHERITED_MEMB = NO FULL_PATH_NAMES = NO STRIP_FROM_PATH = SHORT_NAMES = NO JAVADOC_AUTOBRIEF = NO MULTILINE_CPP_IS_BRIEF = NO DETAILS_AT_TOP = NO INHERIT_DOCS = YES DISTRIBUTE_GROUP_DOC = NO TAB_SIZE = 8 ALIASES = OPTIMIZE_OUTPUT_FOR_C = YES OPTIMIZE_OUTPUT_JAVA = NO SUBGROUPING = YES #--------------------------------------------------------------------------- # Build related configuration options #--------------------------------------------------------------------------- EXTRACT_ALL = YES EXTRACT_PRIVATE = YES EXTRACT_STATIC = YES EXTRACT_LOCAL_CLASSES = YES HIDE_UNDOC_MEMBERS = NO HIDE_UNDOC_CLASSES = NO HIDE_FRIEND_COMPOUNDS = NO HIDE_IN_BODY_DOCS = NO INTERNAL_DOCS = NO CASE_SENSE_NAMES = YES HIDE_SCOPE_NAMES = NO SHOW_INCLUDE_FILES = YES INLINE_INFO = YES SORT_MEMBER_DOCS = YES GENERATE_TODOLIST = YES GENERATE_TESTLIST = YES GENERATE_BUGLIST = YES GENERATE_DEPRECATEDLIST= YES ENABLED_SECTIONS = MAX_INITIALIZER_LINES = 30 SHOW_USED_FILES = YES #--------------------------------------------------------------------------- # configuration options related to warning and progress messages #--------------------------------------------------------------------------- QUIET = NO WARNINGS = YES WARN_IF_UNDOCUMENTED = YES WARN_IF_DOC_ERROR = YES WARN_FORMAT = "$file:$line: $text" WARN_LOGFILE = #--------------------------------------------------------------------------- # configuration options related to the input files #--------------------------------------------------------------------------- INPUT = . FILE_PATTERNS = *.c \ *.h \ *.i \ *.py RECURSIVE = YES EXCLUDE = build \ doc \ meshes \ output \ output-tests \ tmp \ work EXCLUDE_SYMLINKS = NO EXCLUDE_PATTERNS = *_wrap* EXAMPLE_PATH = EXAMPLE_PATTERNS = EXAMPLE_RECURSIVE = NO IMAGE_PATH = INPUT_FILTER = FILTER_SOURCE_FILES = NO #--------------------------------------------------------------------------- # configuration options related to source browsing #--------------------------------------------------------------------------- SOURCE_BROWSER = YES INLINE_SOURCES = NO STRIP_CODE_COMMENTS = NO REFERENCED_BY_RELATION = YES REFERENCES_RELATION = YES VERBATIM_HEADERS = YES #--------------------------------------------------------------------------- # configuration options related to the alphabetical class index #--------------------------------------------------------------------------- ALPHABETICAL_INDEX = YES COLS_IN_ALPHA_INDEX = 5 IGNORE_PREFIX = #--------------------------------------------------------------------------- # configuration options related to the HTML output #--------------------------------------------------------------------------- GENERATE_HTML = YES HTML_OUTPUT = html HTML_FILE_EXTENSION = .html HTML_HEADER = HTML_FOOTER = HTML_STYLESHEET = HTML_ALIGN_MEMBERS = YES GENERATE_HTMLHELP = NO CHM_FILE = HHC_LOCATION = GENERATE_CHI = NO BINARY_TOC = NO TOC_EXPAND = NO DISABLE_INDEX = NO ENUM_VALUES_PER_LINE = 4 GENERATE_TREEVIEW = NO TREEVIEW_WIDTH = 250 #--------------------------------------------------------------------------- # configuration options related to the LaTeX output #--------------------------------------------------------------------------- GENERATE_LATEX = NO LATEX_OUTPUT = latex LATEX_CMD_NAME = latex MAKEINDEX_CMD_NAME = makeindex COMPACT_LATEX = NO PAPER_TYPE = a4wide EXTRA_PACKAGES = LATEX_HEADER = PDF_HYPERLINKS = NO USE_PDFLATEX = NO LATEX_BATCHMODE = NO LATEX_HIDE_INDICES = NO #--------------------------------------------------------------------------- # configuration options related to the RTF output #--------------------------------------------------------------------------- GENERATE_RTF = NO RTF_OUTPUT = rtf COMPACT_RTF = NO RTF_HYPERLINKS = NO RTF_STYLESHEET_FILE = RTF_EXTENSIONS_FILE = #--------------------------------------------------------------------------- # configuration options related to the man page output #--------------------------------------------------------------------------- GENERATE_MAN = NO MAN_OUTPUT = man MAN_EXTENSION = .3 MAN_LINKS = NO #--------------------------------------------------------------------------- # configuration options related to the XML output #--------------------------------------------------------------------------- GENERATE_XML = NO XML_OUTPUT = xml XML_SCHEMA = XML_DTD = #--------------------------------------------------------------------------- # configuration options for the AutoGen Definitions output #--------------------------------------------------------------------------- GENERATE_AUTOGEN_DEF = NO #--------------------------------------------------------------------------- # configuration options related to the Perl module output #--------------------------------------------------------------------------- GENERATE_PERLMOD = NO PERLMOD_LATEX = NO PERLMOD_PRETTY = YES PERLMOD_MAKEVAR_PREFIX = #--------------------------------------------------------------------------- # Configuration options related to the preprocessor #--------------------------------------------------------------------------- ENABLE_PREPROCESSING = YES MACRO_EXPANSION = NO EXPAND_ONLY_PREDEF = NO SEARCH_INCLUDES = YES INCLUDE_PATH = INCLUDE_FILE_PATTERNS = PREDEFINED = EXPAND_AS_DEFINED = SKIP_FUNCTION_MACROS = YES #--------------------------------------------------------------------------- # Configuration::addtions related to external references #--------------------------------------------------------------------------- TAGFILES = GENERATE_TAGFILE = ALLEXTERNALS = NO EXTERNAL_GROUPS = YES PERL_PATH = /usr/bin/perl #--------------------------------------------------------------------------- # Configuration options related to the dot tool #--------------------------------------------------------------------------- CLASS_DIAGRAMS = YES HIDE_UNDOC_RELATIONS = YES HAVE_DOT = YES CLASS_GRAPH = YES COLLABORATION_GRAPH = YES UML_LOOK = NO TEMPLATE_RELATIONS = NO INCLUDE_GRAPH = YES INCLUDED_BY_GRAPH = YES CALL_GRAPH = YES GRAPHICAL_HIERARCHY = YES DOT_IMAGE_FORMAT = png DOT_PATH = DOTFILE_DIRS = MAX_DOT_GRAPH_WIDTH = 1024 MAX_DOT_GRAPH_HEIGHT = 1024 MAX_DOT_GRAPH_DEPTH = 5 GENERATE_LEGEND = YES DOT_CLEANUP = YES #--------------------------------------------------------------------------- # Configuration::addtions related to the search engine #--------------------------------------------------------------------------- SEARCHENGINE = NO sfepy-release_2015.1/doc/ebcs_implementation.rst000066400000000000000000000072631247364230400217650ustar00rootroot00000000000000Implementation of Essential Boundary Conditions =============================================== The essential boundary conditions can be applied in several ways. Here we describe the implementation used in SfePy. Motivation ---------- Let us solve a linear system :math:`A x = b` with :math:`n \times n` matrix :math:`A` with :math:`n_f` values in the :math:`x` vector known. The known values can be for example EBC values on a boundary, if :math:`A` comes from a PDE discretization. If we put the known fixed values into a vector :math:`x_f`, that has the same size as :math:`x`, and has zeros in positions that are not fixed, we can easily construct a :math:`n \times n_r` matrix :math:`T` that maps the reduced vector :math:`x_r` of size :math:`n_r = n - n_f`, where the fixed values are removed, to the full vector :math:`x`: .. math:: x = T x_r + x_f \;. With that the reduced linear system with a :math:`n_r \times n_r` can be formed: .. math:: T^T A T x_r = T^T (b - A x_f) that can be solved by a linear solver. We can see, that the (non-zero) known values are now on the right-hand side of the linear system. When the known values are all zero, we have simply .. math:: T^T A T x_r = T^T b \;, which is convenient, as it allows simply throwing away the A and b entries corresponding to the known values already during the finite element assembling. Implementation -------------- All PDEs in SfePy are solved in a uniform way as a system of non-linear equations .. math:: f(u) = 0 \;, where :math:`f` is the nonlinear function and :math:`u` the vector of unknown DOFs. This system is solved iteratively by the Newton method .. math:: u^{new} = u^{old} - (\tdiff{f}{u^{old}})^{-1} f(u^{old}) until a convergence criterion is met. Each iteration involves solution of the system of linear equations .. math:: K \Delta u = r \;, where the tangent matrix :math:`K` and the residual :math:`r` are .. math:: K \equiv \tdiff{f}{u^{old}} \;, r \equiv f(u^{old}) \;. Then .. math:: u^{new} = u^{old} - \Delta u \;. If the initial (old) vector :math:`u^{old}` contains the values of EBCs at correct positions, the increment :math:`\Delta u` is zero at those positions. This allows us to assemble directly the reduced matrix :math:`T^T K T`, the right-hand side :math:`T^T r`, and ignore the values of EBCs during assembling. The EBCs are satisfied automatically by applying them to the initial guess :math:`u^{0}`, that is given to the Newton solver. Linear Problems ^^^^^^^^^^^^^^^ For linear problems we have .. math:: f(u) \equiv A u - b = 0 \;, \tdiff{f}{u} = A \;, and so the Newton method converges in a single iteration: .. math:: u^{new} = u^{old} - A^{-1} (A u^{old} - b) = A^{-1} b \;. Evaluation of Residual and Tangent Matrix ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The evaluation of the residual :math:`f` as well as the tangent matrix :math:`K` within the Newton solver proceeds in the following steps: - The EBCs are applied to the full DOF vector :math:`u`. - The reduced vector :math:`u_r` is passed to the Newton solver. - Newton iteration loop: - Evaluation of :math:`f_r` or :math:`K_r`: #. :math:`u` is reconstructed from :math:`u_r`; #. local element contributions are evaluated using :math:`u`; #. local element contributions are assembled into :math:`f_r` or :math:`K_r` - values corresponding to fixed DOF positions are thrown away. - The reduced system :math:`K_r \Delta u_r = r_r` is solved. - Solution is updated: :math:`u_r \leftarrow u_r - \Delta u_r`. - The loop is terminated if a stopping condition is satisfied, the solver returns the final :math:`u_r`. - The final :math:`u` is reconstructed from :math:`u_r`. sfepy-release_2015.1/doc/examples.rst000066400000000000000000000003701247364230400175520ustar00rootroot00000000000000.. _examples: Examples ======== This section contains domain-specific tutorials as well as the automatically generated list of the standard examples that come with SfePy. .. toctree:: :maxdepth: 2 primer using_salome examples/index sfepy-release_2015.1/doc/gallery_template.html000066400000000000000000000072341247364230400214300ustar00rootroot00000000000000 SfePy: Simple Finite Elements in Python — Gallery of Examples

    SfePy NTC

      SfePy Gallery

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Cimrman. SfePy - write your own FE application. In P. de Buyl and N. Varoquaux, editors, Proceedings of the 6th European Con- ference on Python in Science (EuroSciPy 2013), pages 65–70, 2014. http://arxiv.org/abs/1404.6391. - BibTeX:: @InProceedings{cimrman14:_sfepy_write_your_own_fe_applic, author = {Robert Cimrman}, title = {{SfePy} - Write Your Own {FE} Application}, booktitle = {Proceedings of the 6th European Conference on Python in Science (EuroSciPy 2013)}, pages = {65--70}, year = 2014, editor = {Pierre de Buyl and Nelle Varoquaux}, note = {http://arxiv.org/abs/1404.6391}, } - IGA-specific use: - Plain text: R. Cimrman. Enhancing SfePy with isogeometric analysis. In P. de Buyl and N. Varoquaux, editors, Proceedings of the 7th European Conference on Python in Science (EuroSciPy 2014), pages 65–72, 2014. http://arxiv.org/abs/1412.6407. - BibTeX:: @InProceedings{cimrman14:_enhan_sfepy_isogeom_analy, author = {Robert Cimrman}, title = {Enhancing {SfePy} with Isogeometric Analysis}, booktitle = {Proceedings of the 7th European Conference on Python in Science (EuroSciPy 2014)}, pages = {65--72}, year = 2014, editor = {Pierre de Buyl and Nelle Varoquaux}, note = {http://arxiv.org/abs/1412.6407}, } Support ------- Work on SfePy is partially supported by the following projects: - project GAP108/11/0853 (Nanostructures with transition metals: Towards ab-initio material design) of Czech Science Foundation, since 2011; - project NT13326 of Ministry of Health of the Czech Republic, since 2012; - project GAP101/12/2315 (Modelling of acoustic wave propagation in strongly heterogeneous media; multi-scale numerical and analytical approaches) of Czech Science Foundation, since 2012. In past, work on SfePy was partially supported by the following projects: - project MSM4977751303 (Failure prediction of heterogeneous materials, components of mechanical and biomechanical systems) of Ministry of Education, Youth and Sports of the Czech Republic, in 2005-2011; - project GA101/07/1471 (Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media) of Czech Science Foundation, in 2007-2011; - project GA106/09/0740 (Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation) of Czech Science Foundation, in 2009-2012. .. _documentation: Documentation ============= .. toctree:: :maxdepth: 2 introduction installation tutorial users_guide examples theory developer_guide PDF version of the documentation: :download:`sfepy_manual.pdf` Indices and tables ================== * :ref:`genindex` * :ref:`modindex` * :ref:`search` sfepy-release_2015.1/doc/installation.rst000066400000000000000000000300211247364230400204310ustar00rootroot00000000000000.. include:: links.inc .. _introduction_installation: Installation ============ .. contents:: Table of Contents :local: :backlinks: top Platforms --------- *SfePy* is known to work on various flavors of Linux, on Intel Macs and Windows. Requirements ------------ Installation prerequisites, required to build *SfePy*: - a C compiler suite (for example gcc) - `Python`_ 2.6 or 2.7 - `NumPy`_ - `Cython`_ Python packages required for using *SfePy*: - `Pyparsing`_ - `SciPy`_, preferably with umfpack wrapper, or umfpack scikit - `Matplotlib`_, for various plots; GTKAgg for live plotting via log.py - `PyTables`_, for storing results in HDF5 files - `SymPy`_, for some tests and functions) - `Mayavi`_, for postproc.py - `Pysparse`_, for schroedinger.py - `igakit`_, for script/gen_iga_patch.py - simple IGA domain generator Other dependencies: - To be able to (re)generate the documentation: `Sphinx`_, `numpydoc`_, LaTeX, see :ref:`how_to_regenerate_documentation`. - If `doxygen` is installed, the documentation of data structures and functions can be automatically generated by running "``python setup.py doxygendocs``". Then see "``doc/html/index.html``". - Mesh generation tools use `pexpect` and `gmsh` or `tetgen`. - `IPython`_ is preferred over the regular Python shell for following some parts of primer/tutorial. On Linux, consult the package manager of your favorite distribution, see `Platform-specific Notes`_. On Windows a completely free scientific-oriented distributions `Python(x,y)`_ and `WinPython`_ can be used, but some missing packages may need to be installed manually. Instructions for installing Python(x,y) can be found in `Windows Using Python(x,y)`_. Furthermore, free versions of commercial multi-platform scientific Python distributions `Enthought Canopy`_ (formerly Enthought PythonDistribution) and `Anaconda`_ (`Continuum Analytics`_) can be used (and recomended), see `Multi-platform Distributions Notes`_. *SfePy* can be used without any installation by running the scripts from the top-level directory of the distribution, or can be installed locally or system-wide. *SfePy* should work both with bleeding edge (Git) and last released versions of `NumPy` and `SciPy`. Submit an issue at `Issues`_ page in case this does not hold. Generic Installation Instructions --------------------------------- Download the latest source release or the development version from `SfePy git repository`_:: git clone git://github.com/sfepy/sfepy.git See the `download`_ page for additional download options. Compilation of C Extension Modules ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ In the *SfePy* top-level directory: 1. Look at ``site_cfg_template.py`` and follow the instructions therein. Usually no changes are necessary. 2. Compile the extension modules a) for in-place use:: python setup.py build_ext --inplace b) for installation:: python setup.py build We recommend starting with the in-place build. Installation ^^^^^^^^^^^^ (As mentioned above, this step is not required to use *SfePy*.) - System-wide (may require root privileges):: python setup.py install - Local (requires write access to ````):: python setup.py install --root= If all went well, proceed with `Testing`_. Testing ------- After building in-place or installing *SfePy* you can check if all the functions are working by running the automated tests. In-place Build ^^^^^^^^^^^^^^ In the source directory type:: python run_tests.py If a particular test fails, please run it in debug mode:: python run_tests.py --debug tests/failing_test_name.py and report the output to the `SfePy mailing list`_. On a Linux-based system, the script can be executed directly by:: ./run_tests.py Installed Build ^^^^^^^^^^^^^^^ In a directory different from the source directory, run:: python run_tests.py or (on Linux):: run_tests.py Note that this command creates a directory called ``'output'`` in the current directory as well as some other auxiliary files. Use the in-place build testing if you do not want to care about this. Debugging --------- If something goes wrong, set ``debug_flags = '-DDEBUG_FMF'`` in ``site_cfg.py`` to turn on bound checks in the low level C functions, and recompile the code:: python setup.py clean python setup.py build_ext --inplace Then re-run your code and report the output. .. _using-ipython: Using IPython ------------- It is preferable to use (a customized) `IPython`_ over the regular Python shell when following :doc:`tutorial` or :doc:`primer`. Install `IPython`_ and then customize it as follows: 1. Create a new profile:: ipython profile create sfepy 2. Open the ``~/.ipython/profile_sfepy/ipython_config.py`` file in a text editor and add/edit after the ``c = get_config()`` line the following: .. sourcecode:: python exec_lines = [ 'from sfepy.base.base import *', 'from sfepy.discrete import *', 'from sfepy.discrete.fem import *', 'from sfepy.applications import solve_pde', 'import matplotlib as mpl', 'mpl.use("WXAgg")', 'from matplotlib.pyplot import *', 'from sfepy.postprocess.viewer import Viewer', ] c.InteractiveShellApp.exec_lines = exec_lines c.TerminalIPythonApp.gui = 'wx' c.TerminalInteractiveShell.colors = 'Linux' # NoColor, Linux, or LightBG 3. Run the customized IPython shell:: ipython --profile=sfepy Multi-platform Distributions Notes ---------------------------------- Anaconda ^^^^^^^^ (tested Python 2.7 64-Bit on Ubuntu 14.04 LTS, Windows 8.1 and Mac OS X 10.10) Download appropriate `Anaconda`_ Python 2.7 installer package (valid e-mail address is required, but no further Ads) and follow install instructions. We recommend to choose *user-level* install option (no admin privileges required). Install missing/required packages using built-in `conda` package manager:: conda install mayavi wxpython Occasionally, you should check for distribution and/or installed packages updates (there is no built-in automatic update mechanism available):: conda update conda conda update anaconda conda update See `conda help` for further information. Platform-specific Notes ----------------------- The following information has been provided by users of the listed platforms and may become obsolete over time. The generic installation instructions above should work in any case, provided the required dependencies are installed. Gentoo ^^^^^^ :: emerge -va pytables pyparsing numpy scipy matplotlib ipython mayavi Archlinux ^^^^^^^^^ :: pacman -S python2-numpy python2-scipy python2-matplotlib ipython2 python2-sympy yaourt -S python-pytables python2-mayavi Instructions """""""""""" Edit Makefile and change all references from python to python2. Edit scripts and change shebangs to point to python2. Debian ^^^^^^ (old instructions, check also Ubuntu below) :: apt-get install python-tables python-pyparsing python-matplotlib python-scipy Ubuntu ^^^^^^ (tested on Ubuntu 14.04 LTS and 14.10) Prerequisites """"""""""""" First, you have to install the dependencies packages:: sudo aptitude install python-scipy python-matplotlib python-tables python-pyparsing libsuitesparse-dev python-setuptools mayavi2 python-dev ipython python-sympy cython python-sparse The same packages work also in Kubuntu 14.10. If `aptitude` is not installed, install it, or try `apt-get install` instead. Older Versions of Ubuntu '''''''''''''''''''''''' (tested on Jaunty Jackalope 9.04 and Lucid Lynx 10.04) The following is required to get working `umfpack`. Download and install the umfpack scikits in some local dir. In the following example it will be installed in $HOME/local:: svn checkout http://svn.scipy.org/svn/scikits/trunk/umfpack cd umfpack mkdir -p ${HOME}/local/lib/python2.6/site-packages python setup.py install --prefix=${HOME}/local Add to your .bashrc the line:: export PYTHONPATH="${HOME}/local" then re-open a terminal and if the scikits was installed correctly importing scikits.umfpack in python should give no error:: python >>> import scikits.umfpack >>> Next Download sympy 6.7 or later. Extract the contents. cd sympy-0.6.7 python setup.py install --prefix=${HOME}/local Installing *SfePy* """""""""""""""""" Now download the latest *SfePy* tarball release (or the latest development version). Uncompress the archive and enter the *SfePy* dir, then type:: python setup.py build_ext --inplace after a few minutes the compilation finishes. Finally you can test *SfePy* with:: ./run_tests.py If some test fails see `Testing`_ section for further details. Fedora 8 ^^^^^^^^ Notes on using umfpack (contributed by David Huard). entry in numpy site.cfg:: [umfpack] library_dirs=/usr/lib64 include_dirs = /usr/include/suitesparse Comment by david.huard, Mar 26, 2008:: Of course, suitesparse and suitesparse-devel must be installed. Windows Using Python(x,y) ^^^^^^^^^^^^^^^^^^^^^^^^^ (tested on Windows 7/8.1) Here we provide instructions for using *SfePy* on Windows through `Python(x,y)`_. We will also use `msysgit`_ to install the umfpack scikit to speed up performance. This procedure should work in theory for any recent Windows version supported by Python(x,y) and msysgit, but your milage may vary. There several steps, but hopefully it is straightforward to follow this procedure. If you have any questions or difficulties please feel free to ask on the `SfePy mailing list`_ (see `SfePy web site`_). Also, if you have any suggestions for improving or streamlining this process, it would be very beneficial as well! We assume the installation to be done in C:\\ - substitute your path where appropriate. Steps to Get a Working *SfePy* on Windows Using Python(x,y) """"""""""""""""""""""""""""""""""""""""""""""""""""""""""" #. Minimum 4 GB of free disk space is required due to the installed size of `python(x,y)` and `msysgit`. #. Download the latest `Python(x,y)`_ windows installer (version 2.7.X.X) and make a *Full installation* in the default installation directory. #. Download the latest `pyparsing`_ windows installer (Python version 2.7) and install it in the default installation directory. #. Download the latest `msysgit`_ windows installer and install it in the default installation directory: - either get the file that begins with "Git-", which gives you `gitbash` - a bash shell in Windows, - or get the file that begins with "msysGit-fullinstall". Below we refer to either `gitbash` or `msys` as "shell". #. Download the latest `umfpackpy`_ zip archive and follow the instructions below: a) Extract the *umfpackpy_.zip* to your convenient location in Hard disk, Lets assume it's extracted in C:\\. Now there will be two files on the extracted folder, *ez_setup.py* and *scikits.umfpack-5.1.0-py2.7-win32.egg*. b) Start a shell and write the following to go to the extracted folder:: cd /c/umfpackpy_/ c) Install the UMFPACK library for Python:: ez_setup.py scikits.umfpack-5.1.0-py2.7-win32.egg #. Either `download`_ the latest *SfePy* tarball and extract it to your convenient location in hard disk, lets assume it's extracted in C:\\. Or, if you want to use the latest features and contribute to the development of *SfePy*, clone the git development repository * In shell, type:: cd /c/ git clone git://github.com/sfepy/sfepy.git Then follow the instructions below: a) In shell, go to the extracted folder:: cd /c/sfepy_folder_name/ b) Compile *SfePy* C extensions:: python setup.py build_ext --inplace --compiler=mingw32 #. You should now have a working copy of *SfePy* on Windows. Please help aid *SfePy* development by running the built-in tests. Run the `run_tests.py` in Python IDLE or write the following code in the shell:: ./run_tests.py --filter-less * Report any failures to the `SfePy mailing list`_. * See `Testing`_ for further details. sfepy-release_2015.1/doc/introduction.rst000066400000000000000000000030331247364230400204540ustar00rootroot00000000000000.. include:: links.inc Introduction ============ .. contents:: Table of Contents :local: :backlinks: top *SfePy* (http://sfepy.org) is a software for solving systems of coupled partial differential equations (PDEs) by the finite element method in 1D, 2D and 3D. It can be viewed both as black-box PDE solver, and as a Python package which can be used for building custom applications. The word "simple" means that complex FEM problems can be coded very easily and rapidly. There is also a preliminary support for the isogeometric analysis, outlined in :ref:`isogeometric_analysis`. The code is written almost entirely in `Python`_, with exception of the most time demanding routines - those are written in C and wrapped by `Cython`_ or written directly in Cython. *SfePy* is a free software released under the `New BSD License`_. It relies on `NumPy`_ and `SciPy`_ (an excellent collection of tools for scientific computations in Python). It is a multi-platform software that should work on Linux, Mac OS X and Windows. *SfePy* was originally developed as a flexible framework to quickly implement and test the mathematical models developed during our various research projects. It has evolved, however, to a rather full-featured (yet small) finite element code. Many terms have been implemented that can be used to build the PDEs, see :ref:`term_overview`. SfePy comes also with a number of examples that can get you started, check :ref:`sfepy-gallery-examples-index` and :doc:`tutorial`. Some more advanced features are discussed in :doc:`primer`. sfepy-release_2015.1/doc/license.rst000066400000000000000000000000651247364230400173570ustar00rootroot00000000000000SfePy License ============= .. include:: ../LICENSE sfepy-release_2015.1/doc/linear_combination_bc.rst000066400000000000000000000077441247364230400222500ustar00rootroot00000000000000Linear Combination Boundary Conditions ====================================== By linear combination boundary conditions (LCBCs) we mean conditions of the following type: .. math:: :label: eq_lcbc \sum_{i = 1}^{L} a_i u_i(\ul{x}) = 0 \;, \quad \forall \ul{x} \in \omega \;, where :math:`a_i` are given coefficients, :math:`u_i(\ul{x})` are some components of unknown fields evaluated point-wise in points :math:`\ul{x} \in \omega`, and :math:`\omega` is a subset of the entire domain :math:`\Omega` (e.g. a part of its boundary). Note that the coefficients :math:`a_i` can also depend on :math:`\ul{x}`. A typical example is the *no penetration* condition :math:`\ul{u}(\ul{x}) \cdot \ul{n}(\ul{x}) = 0`, where :math:`\ul{u}` are the velocity (or displacement) components, and :math:`\ul{n}` is the unit normal outward to the domain boundary. Enforcing LCBCs --------------- There are several methods to enforce the conditions: * penalty method * substitution method We use the substitution method, e.i. we choose :math:`j` such that :math:`a_j \neq 0` and substitute .. math:: :label: eq_lcbc_subs0 u_j(\ul{x}) = - \frac{1}{a_j} \sum_{i = 1, i \neq j}^{L} a_i u_i(\ul{x}) \;, \quad \forall \ul{x} \in \omega \;, into the equations. This is done, however, after the discretization by the finite element method, as explained below. Let us denote :math:`c_i = \frac{a_i}{a_j}` (:math:`j` is fixed). Then .. math:: :label: eq_lcbc_subs u_j(\ul{x}) = - \sum_{i = 1, i \neq j}^{L} c_i u_i(\ul{x}) \;, \quad \forall \ul{x} \in \omega \;. Weak Formulation ---------------- We multiply :eq:`eq_lcbc_subs` by a test function :math:`v_j` and integrate the equation over :math:`\omega` to obtain .. math:: :label: eq_lcbc_weak \int_{\omega} v_j u_j(\ul{x}) = - \int_{\omega} v_j \sum_{i = 1, i \neq j}^{L} c_i u_i(\ul{x}) \;, \quad \forall v_j \in H(\omega) \;, where :math:`H(\omega)` is some suitable function space (e.g. the same space which :math:`u_j` belongs to). Finite Element Approximation ---------------------------- On a finite element :math:`T_K` (surface or volume) we have :math:`u_i(\ul{x}) = \sum_{k=1}^{N} u_i^k \phi^k (\ul{x})`, where :math:`\phi^k` are the local (element) base functions. Using the more compact matrix notation :math:`\ub_i = [u_i^1, \dots, u_i^N]`, :math:`\vphib = [\vphib^1, \dots, \vphib^N]^T` we have :math:`u_i(\ul{x}) = \vphib(\ul{x}) \ub_i` and similarly :math:`v_i(\ul{x}) = \vphib(\ul{x}) \vb_i`. The relation :eq:`eq_lcbc_subs`, restricted to :math:`T_K`, can be then written (we omit the :math:`\ul{x}` arguments) as .. math:: :label: eq_lcbc_weak_fe \int_{T_K} \vb_j^T \vphib^T \vphib \ub_j = - \int_{T_K} \vb_j^T \vphib^T\sum_{i = 1, i \neq j}^{L} c_i \vphib\ub_i \;, \quad \forall \vb_j As :eq:`eq_lcbc_weak_fe` holds for any :math:`\vb_j`, we have a linear system to solve. After denoting the "mass" matrices :math:`\Mb = \int_{T_K} \vphib^T \vphib`, :math:`\Mb_i = \int_{T_K} c_i \vphib^T \vphib` the linear system is .. math:: :label: eq_lcbc_weak_fe_m \Mb \ub_j = - \sum_{i = 1, i \neq j}^{L} \Mb_i \ub_i \;. Then the individual coefficients :math:`\ub_j` can be expressed as .. math:: :label: eq_lcbc_weak_fe_m_s \ub_j = - \Mb^{-1} \sum_{i = 1, i \neq j}^{L} \Mb_i \ub_i \;. Implementation -------------- Above is the general treatment. The code uses its somewhat simplified version described here. If the coefficients :math:`c_i` are constant in the element :math:`T_K`, i.e. :math:`c_i(\ul{x}) = \bar c_i` for :math:`x \in T_K`, we can readily see that :math:`\Mb_i = \bar c_i \Mb`. The relation :eq:`eq_lcbc_weak_fe_m_s` then reduces to .. math:: :label: eq_lcbc_weak_fe_impl \ub_j = - \Mb^{-1} \sum_{i = 1, i \neq j}^{L} \bar c_i \Mb \ub_i = \sum_{i = 1, i \neq j}^{L} \bar c_i \ub_i \;, hence we can work with the individual components of the coefficient vectors (= degrees of freedom) only, as the above relation means, that :math:`u_j^k = \bar c_i u_i^k` for :math:`k = 1, \dots, N`. sfepy-release_2015.1/doc/links.inc000066400000000000000000000065021247364230400170200ustar00rootroot00000000000000.. This (-*- rst -*-) format file contains commonly used link targets and name substitutions. It may be included in many files, therefore it should only contain link targets and name substitutions. Try grepping for "^\.\. _" to find plausible candidates for this list. .. 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M 3k   Kw  'e/t &R +` Fx  \/N+`%K~!W>n  򱳹ֺƸ"ð'ͼ)̹ 169# ý1ÿ69# 1ݾ6ʽ9#@d2P( sfepy-release_2015.1/doc/make.bat000066400000000000000000000057751247364230400166250ustar00rootroot00000000000000@ECHO OFF REM Command file for Sphinx documentation set SPHINXBUILD=sphinx-build set BUILDDIR=_build set ALLSPHINXOPTS=-d %BUILDDIR%/doctrees %SPHINXOPTS% . if NOT "%PAPER%" == "" ( set ALLSPHINXOPTS=-D latex_paper_size=%PAPER% %ALLSPHINXOPTS% ) if "%1" == "" goto help if "%1" == "help" ( :help echo.Please use `make ^` where ^ is one of echo. html to make standalone HTML files echo. dirhtml to make HTML files named index.html in directories echo. pickle to make pickle files echo. json to make JSON files echo. htmlhelp to make HTML files and a HTML help project echo. qthelp to make HTML files and a qthelp project echo. latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter echo. changes to make an overview over all changed/added/deprecated items echo. linkcheck to check all external links for integrity echo. doctest to run all doctests embedded in the documentation if enabled goto end ) if "%1" == "clean" ( for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i del /q /s %BUILDDIR%\* goto end ) if "%1" == "html" ( %SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html echo. echo.Build finished. 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For historians: see :ref:`archived_news`. sfepy-release_2015.1/doc/primer.rst000066400000000000000000000554021247364230400172400ustar00rootroot00000000000000.. highlight:: python :linenothreshold: 3 .. include:: links.inc .. _sec-primer: Primer ====== .. contents:: Table of Contents :local: :backlinks: top A beginner's tutorial highlighting the basics of *SfePy*. Introduction ------------ This primer presents a step-by-step walk-through of the process to solve a simple mechanics problem. The typical process to solve a problem using *SfePy* is followed: a model is meshed, a problem definition file is drafted, *SfePy* is run to solve the problem and finally the results of the analysis are visualised. Problem statement ^^^^^^^^^^^^^^^^^ A popular test to measure the tensile strength of concrete or asphalt materials is the indirect tensile strength (ITS) test pictured below. In this test a cylindrical specimen is loaded across its diameter to failure. The test is usually run by loading the specimen at a constant deformation rate of 50 mm/minute (say) and measuring the load response. When the tensile stress that develops in the specimen under loading exceeds its tensile strength then the specimen will fail. To model this problem using finite elements the indirect tensile test can be simplified to represent a diametrically point loaded disk as shown in the schematic. .. image:: images/primer/ITS.png :width: 20 % :align: left .. image:: images/primer/ITS2D.png :width: 20 % :align: right The tensile and compressive stresses that develop in the specimen as a result of the point loads P are a function of the diameter (D) and thickness (t) of the cylindrical specimen. At the centre of the specimen, the compressive stress is 3 times the tensile stress and the analytical formulation for these are, respectively: .. math:: :label: eq_tensile_stress \sigma_t=\frac{2P}{\pi tD} .. math:: :label: eq_compressive_stress \sigma_c=\frac{6P}{\pi tD} These solutions may be approximated using finite element methods. To solve this problem using *SfePy* the first step is meshing a suitable model. Meshing ------- Assuming plane strain conditions, the indirect tensile test may be modelled using a 2-D finite element mesh. Furthermore, the geometry of the model is symmetrical about the x- and y-axes passing through the centre of the circle. To take advantage of this symmetry only one quarter of the 2-D model will be meshed and boundary conditions will be established to indicate this symmetry. The meshing program `Gmsh`_ is used here to very quickly mesh the model. Follow these steps to model the ITS: #. The ITS specimen has a diameter of 150 mm. Using *Gmsh* add three new points (geometry elementary entities) at the following coordinates: (0.0 0.0), (75.0,0.0) and (0.0,75.0). #. Next add two straight lines connecting the points. #. Next add a Circle arc connecting two of the points to form the quarter circle segment. #. Still under *Geometry* add a ruled surface. #. With the geometry of the model defined, add a mesh by clicking on the 2D button under the Mesh functions. The figures that follow show the various stages in the model process. .. image:: images/primer/mesh1.png :width: 20 % .. image:: images/primer/mesh2.png :width: 20 % .. image:: images/primer/mesh3.png :width: 20 % .. image:: images/primer/mesh4.png :width: 20 % That's the meshing done. Save the mesh in a format that *SfePy* recognizes. For now use the **medit** .mesh format e.g. its2D.mesh. **Hint:** Check the drop down in the *Save As* dialog for the different formats that Gmsh can save to. If you open the its2D.mesh file using a text editor you'll notice that *Gmsh* saves the mesh in a 3-D format and includes some extra geometry items that should be deleted. Reformatted the mesh file to a 2-D format and delete the *Edges* block. Note that when you do this the file cannot be reopened by *Gmsh* so it is always a good idea to also save your meshes in *Gmsh's* native format as well (Shift-Ctrl-S). Click :download:`here <../meshes/2d/its2D.mesh>` to download the reformatted mesh file that will be used in the tutorial. .. image:: images/primer/its2D_4.png :width: 40 % :align: right You'll notice that the mesh contains 55 vertices (nodes) and 83 triangle elements. The mesh file provides the coordinates of the nodes and the element connectivity. It is important to note that node and element numbering in *SfePy* start at 0 and not 1 as is the case in *Gmsh* and some other meshing programs. To view *.mesh* files you can use a demo of `medit`_. After loading your mesh file with medit you can see the node and element numbering by pressing **P** and **F** respectively. The numbering in medit starts at 1 as shown. Thus the node at the center of the model in *SfePy* numbering is 0, and elements 76 and 77 are connected to this node. Node and element numbers can also be viewed in *Gmsh* - under the mesh option under the Visibility tab enable the node and surface labels. Note that the surface labels as numbered in *Gmsh* follow on from the line numbering. So to get the corresponding element number in SfePy you'll need to subtract the number of lines in the *Gmsh* file + 1. Confused yet? Luckily, *SfePy* provides some useful mesh functions to indicate which elements are connected to which nodes. Nodes and elements can also be identified by defining regions, which is addressed later. Another open source python option to view *.mesh* files is the appropriately named `Python Mesh Viewer`_. The next step in the process is coding the *SfePy* problem definition file. .. _primer_example_file: Problem description ------------------- The programming of the problem description file is well documented in the *SfePy* :doc:`users_guide`. The problem description file used in the tutorial follows: .. literalinclude:: /../examples/linear_elasticity/its2D_1.py :download:`Download ` and open the file in your favourite python editor. Note that you may wish to change the location of the output directory to somewhere on your drive. You may also need to edit the mesh file name. For the analysis we will assume that the material of the test specimen is linear elastic and isotropic. We define two material constants i.e. Young's modulus and Poisson's ratio. The material is assumed to be asphalt concrete having a Young's modulus of 2,000 MPa and a Poisson's ration of 0.4. **Note:** Be consistent in your choice and use of units. In the tutorial we are using Newton (N), millimeters (mm) and megaPascal (MPa). The :doc:`sfepy.mechanics.units ` module might help you in determining which derived units correspond to given basic units. The following block of code defines regions on your mesh: :: regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Bottom' : ('vertices in (y < 0.001)', 'facet'), 'Top' : ('vertex 2', 'vertex'), } Four regions are defined: 1. Omega: all the elements in the mesh 2. Left: the y-axis 3. Bottom: the x-axis 4. Top: the topmost node. This is where the load is applied. Having defined the regions these can be used in other parts of your code. For example, in the definition of the boundary conditions: :: ebcs = { 'XSym' : ('Bottom', {'u.1' : 0.0}), 'YSym' : ('Left', {'u.0' : 0.0}), } Now the power of the regions entity becomes apparent. To ensure symmetry about the x-axis, the vertical or y-displacement of the nodes in the Bottom region are prevented or set to zero. Similarly, for symmetry about the y-axis, any horizontal or displacement in the x-direction of the nodes in the Left region or y-axis is prevented. The load is specified in terms of the 'Load' material as follows:: materials = { 'Asphalt' : ({ 'lam' : lame_from_youngpoisson(young, poisson)[0], 'mu' : lame_from_youngpoisson(young, poisson)[1], },), 'Load' : ({'.val' : [0.0, -1000.0]},), } Note the dot in '.val' - this denotes a special material value, i.e., a value that is not to be evaluated in quadrature points. The load is then applied in equations using the `'dw_point_load.0.Top(Load.val, v)'` term in the topmost node (region Top). We provided the material constants in terms of Young's modulus and Poisson's ratio, but the linear elastic isotropic equation used requires as input Lamé's parameters. The lame_from_youngpoisson() function is thus used for conversion. Note that to use this function it was necessary to import the function into the code, which was done up front: :: from sfepy.mechanics.matcoefs import lame_from_youngpoisson **Hint:** Check out the :doc:`sfepy.mechanics.matcoefs ` module for other useful material related functions. That's it - we are now ready to solve the problem. Running SfePy ------------- One option to solve the problem is to run the SfePy simple.py script from the command shell:: $ ./simple.py its2D_1.py **Note:** For the purpose of this tutorial it is assumed that the problem definition file (its2D_1.py) is in the same directory as the *simple.py* script. If you have the its2D_1.py file in another directory then make sure you include the path to this file as well. SfePy solves the problem and outputs the solution to the output path (output_dir) provided in the script. The output file will be in the vtk format by default if this is not explicitly specified and the name of the output file will be the same as that used for the mesh file except with the vtk extension i.e. its2D.vtk. The vtk format is an ascii format. Open the file using a text editor. You'll notice that the output file includes separate sections: * POINTS (these are the model nodes) * CELLS (the model element connectivity) * VECTORS (the node displacements in the x-, y- and z- directions. SfePy includes a script (postproc.py) to quickly view the solution. To run this script you need to have `Mayavi`_ installed. From the command line issue the following (with the correct paths):: $ ./postproc.py its2D.vtk The *postproc.py* script generates the image shown below, which shows by default the displacements in the model as arrows and their magnitude as color scale. Cool, but we are more interested in the stresses. To get these we need to modify the problem description file and do some post-processing. .. image:: images/primer/its2D_1.png :width: 40 % Post-processing --------------- *SfePy* provides functions to calculate stresses and strains. We'll include a function to calculate these and update the problem material definition and options to call this function as a post_process_hook. Save this file as :download:`its2D_2.py `. .. literalinclude:: /../examples/linear_elasticity/its2D_2.py The updated file imports all of the previous definitions in its2D_1.py. The stress function (de_cauchy_stress) requires as input the stiffness tensor - thus it was necessary to update the materials accordingly. The problem options were also updated to call the stress_strain function as a post_process_hook. Run SfePy to solve the updated problem and view the solution (assuring the correct paths):: $ ./simple.py its2D_2.py $ ./postproc.py its2D.vtk -b In addition to the node displacements, the vtk output shown below now also includes the stresses and strains averaged in the elements: .. image:: images/primer/its2D_2.png :width: 40 % Remember the objective was to determine the stresses at the centre of the specimen under a load P. The solution as currently derived is expressed in terms of a global displacement vector (u). The global (residual) force vector (f) is a function of the global displacement vector and the global stiffness matrix (K) as: **f = Ku**. Let's determine the force vector interactively. Running SfePy in interactive mode ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ In addition to solving problems using the simple.py script you can also run SfePy interactively. We will use `IPython`_ with custom imports, as described in :ref:`using-ipython`. In the SfePy top-level directory:: $ ipython --profile=sfepy Once the customized ipython shell loads up, issue the following command:: In [1]: pb, state = solve_pde('its2D_2.py') The problem is solved and the problem definition and solution are provided in the *pb* and *state* variables, respectively. The solution, or in this case, the global displacement vector (u), contains the x- and y-displacements at the nodes in the 2D model:: In [2]: u = state() In [3]: u Out[3]: array([ 0. , 0. , 0.37376671, ..., -0.19923848, 0.08820237, -0.11201528]) In [4]: u.shape Out[4]: (110,) In [5]: u.shape = (55, 2) In [6]: u Out[6]: array([[ 0. , 0. ], [ 0.37376671, 0. ], [ 0. , -1.65318152], ..., [ 0.08716448, -0.23069047], [ 0.27741356, -0.19923848], [ 0.08820237, -0.11201528]]) **Note:** We have used the fact, that the state vector contains only one variable (*u*). In general, the following can be used:: In [7]: u = state.get_parts()['u'] In [8]: u Out[8]: array([[ 0. , 0. ], [ 0.37376671, 0. ], [ 0. , -1.65318152], ..., [ 0.08716448, -0.23069047], [ 0.27741356, -0.19923848], [ 0.08820237, -0.11201528]]) Both `state()` and `state.get_parts()` return a view of the DOF vector, that is why in Out[8] the vector is reshaped according to Out[6]. From the above it can be seen that *u* holds the displacements at the 55 nodes in the model and that the displacement at node 2 (on which the load is applied) is (0, -1.65318152). The global stiffness matrix is saved in pb as a `sparse matrix`_:: In [9]: K = pb.mtx_a In [10]: K Out[10]: <94x94 sparse matrix of type '' with 1070 stored elements in Compressed Sparse Row format> In [11]: print K (0, 0) 2443.95959851 (0, 7) -2110.99917491 (0, 14) -332.960423597 (0, 15) 1428.57142857 (1, 1) 2443.95959852 (1, 13) -2110.99917492 (1, 32) 1428.57142857 (1, 33) -332.960423596 (2, 2) 4048.78343529 (2, 3) -1354.87004384 (2, 52) -609.367453538 (2, 53) -1869.0018791 (2, 92) -357.41672785 (2, 93) 1510.24654193 (3, 2) -1354.87004384 (3, 3) 4121.03202907 (3, 4) -1696.54911732 (3, 48) 76.2400806561 (3, 49) -1669.59247304 (3, 52) -1145.85294856 (3, 53) 2062.13955556 (4, 3) -1696.54911732 (4, 4) 4410.17902905 (4, 5) -1872.87344838 (4, 42) -130.515009576 : : (91, 81) -1610.0550578 (91, 86) -199.343680224 (91, 87) -2330.41406097 (91, 90) -575.80373408 (91, 91) 7853.23899229 (92, 2) -357.41672785 (92, 8) 1735.59411191 (92, 50) -464.976034459 (92, 51) -1761.31189004 (92, 52) -3300.45367361 (92, 53) 1574.59387937 (92, 88) -250.325600254 (92, 89) 1334.11823335 (92, 92) 9219.18643706 (92, 93) -2607.52659081 (93, 2) 1510.24654193 (93, 8) -657.361661955 (93, 50) -1761.31189004 (93, 51) 54.1134516246 (93, 52) 1574.59387937 (93, 53) -315.793227627 (93, 88) 1334.11823335 (93, 89) -4348.13351285 (93, 92) -2607.52659081 (93, 93) 9821.16012014 In [12]: K.shape Out[12]: (94, 94) One would expect the shape of the global stiffness matrix (K) to be (110,110) i.e. to have the same number of rows and columns as *u*. This matrix has been reduced by the fixed degrees of freedom imposed by the boundary conditions set at the nodes on symmetry axes. To restore the matrix, temporarily remove the imposed boundary conditions:: In [13]: pb.remove_bcs() Now we can calculate the force vector (f):: In [14]: f = pb.evaluator.eval_residual(u) In [15]: f.shape Out[15]: (110,) In [16]: f Out[16]: array([ -4.73618436e+01, 1.42752386e+02, 1.56921124e-13, ..., -2.06057393e-13, 2.13162821e-14, -2.84217094e-14]) Remember to restore the original boundary conditions previously removed in step [13]:: In [17]: pb.time_update() To view the residual force vector, we can save it to a vtk file. This requires creating a state and set its DOF vector to *f* as follows:: In [18]: state = pb.create_state() In [19]: state.set_full(f) In [20]: out = state.create_output_dict() In [21]: pb.save_state('file.vtk', out=out) Running the *postproc.py* script on file.vtk displays the average nodal forces as shown below. .. image:: images/primer/its2D_3.png :width: 40 % The forces in the x- and y-directions at node 2 are:: In [22]: f.shape = (55, 2) In [23]: f[2] Out[23]: array([ 6.20373272e+02, -1.13686838e-13]) Great, we have an almost zero residual vertical load or force apparent at node 2 i.e. -1.13686838e-13 Newton. Let us now check the stress at node 0, the centre of the specimen. Generating output at element nodes ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Previously we had calculated the stresses in the model but these were averaged from those calculated at Gauss quadrature points within the elements. It is possible to provide custom integrals to allow the calculation of stresses with the Gauss quadrature points at the element nodes. This will provide us a more accurate estimate of the stress at the centre of the specimen located at node 0. The :download:`code ` below outlines one way to achieve this. .. literalinclude:: /../examples/linear_elasticity/its2D_3.py The output:: ================================================================== Given load = 2000.00 N Analytical solution =================== Horizontal tensile stress = 8.48826e+00 MPa/mm Vertical compressive stress = 2.54648e+01 MPa/mm FEM solution ============ Horizontal tensile stress = 7.57220e+00 MPa/mm Vertical compressive stress = 2.58660e+01 MPa/mm ================================================================== Not bad for such a coarse mesh! Re-running the problem using a :download:`finer mesh <../meshes/2d/big.mesh>` provides a more accurate solution:: ================================================================== Given load = 2000.00 N Analytical solution =================== Horizontal tensile stress = 8.48826e+00 MPa/mm Vertical compressive stress = 2.54648e+01 MPa/mm FEM solution ============ Horizontal tensile stress = 8.50042e+00 MPa/mm Vertical compressive stress = 2.54300e+01 MPa/mm To see how the FEM solution approaches the analytical one, try to play with the uniform mesh refinement level in the :ref:`primer_example_file` file, namely lines 25, 26:: refinement_level = 0 filename_mesh = refine_mesh(filename_mesh, refinement_level) The above computation could also be done in the customized ipython shell:: In [23]: from sfepy.discrete.fem.geometry_element import geometry_data In [24]: gdata = geometry_data['2_3'] In [25]: nc = len(gdata.coors) In [26]: ivn = Integral('ivn', order=-1, ....: coors=gdata.coors, weights=[gdata.volume / nc] * nc) In [27]: pb, state = solve_pde('examples/linear_elasticity/its2D_2.py') In [28]: stress = pb.evaluate('ev_cauchy_stress.ivn.Omega(Asphalt.D,u)', ....: mode='qp', integrals=Integrals([ivn])) In [29]: sfield = Field('stress', nm.float64, (3,), pb.domain.regions['Omega']) In [30]: svar = FieldVariable('sigma', 'parameter', sfield, ....: primary_var_name='(set-to-None)') In [31]: svar.set_data_from_qp(stress, ivn) In [32]: print 'Horizontal tensile stress = %.5e MPa/mm' % (svar()[0][0]) Horizontal tensile stress = 7.57220e+00 MPa/mm In [33]: print 'Vertical compressive stress = %.5e MPa/mm' % (-svar()[0][1]) Vertical compressive stress = 2.58660e+01 MPa/mm In [34]: mat = pb.get_materials()['Load'] In [35]: P = 2.0 * mat.get_data('special', None, 'val')[1] In [36]: P Out[36]: -2000.0 In [37]: print 'Horizontal tensile stress = %.5e MPa/mm' % (-2.*P/(nm.pi*150.)) Horizontal tensile stress = 8.48826e+00 MPa/mm In [38]: print 'Vertical compressive stress = %.5e MPa/mm' % (-6.*P/(nm.pi*150.)) Vertical compressive stress = 2.54648e+01 MPa/mm To wrap this tutorial up let's explore *SfePy*'s probing functions. Probing ------- As a bonus for sticking to the end of this tutorial see the following :download:`problem definition file ` that provides *SfePy* functions to quickly and neatly probe the solution. .. literalinclude:: /../examples/linear_elasticity/its2D_5.py Probing applies interpolation to output the solution along specified paths. For the tutorial, line probing is done along the x- and y-axes of the model. Run SfePy to solve the problem and apply the probes:: $ ./simple.py its2D_5.py The probing function will generate the following figures that show the displacements, normal stresses and strains as well as shear stresses and strains along the probe paths. Note that you need `matplotlib`_ installed to run this example. .. image:: images/primer/its2D_0.png :width: 48 % .. image:: images/primer/its2D_01.png :width: 48 % The probing function also generates previews of the mesh with the probe paths. .. image:: images/primer/probe_its2D_line0.png :width: 30 % .. image:: images/primer/probe_its2D_line1.png :width: 30 % .. _primer-interactive-example: Interactive Example ------------------- SfePy can be used also interactively by constructing directly the classes that corresponds to the keywords in the problem description files. The following listing shows a script with the same (and more) functionality as the above examples: .. literalinclude:: /../examples/linear_elasticity/its2D_interactive.py The script can be run from the SfePy top-level directory, assuming the in-place build, as follows:: python examples/linear_elasticity/its2D_interactive.py The script allows setting several parameters that influence the solution, see:: python examples/linear_elasticity/its2D_interactive.py -h for the complete list. Besides the material parameters, a uniform mesh refinement level and the displacement field approximation order can be specified. The script demonstrates how to - project a derived quantity, that is evaluated in quadrature points (e.g. a strain or stress), into a field variable; - probe the solution defined in the field variables. Using :mod:`sfepy.discrete.probes` allows correct probing of fields with the approximation order greater than one. The end. sfepy-release_2015.1/doc/problem_desc_file_long.rst000066400000000000000000000156371247364230400224240ustar00rootroot00000000000000 Problem Description File - Long Syntax -------------------------------------- Historically, the keywords exist in two flavors: - long syntax is the original one - it is longer to type, but the individual fields are named - short syntax was added later to offer brevity. Region Definition Syntax ^^^^^^^^^^^^^^^^^^^^^^^^ Region, long syntax:: region_ = { 'name' : , 'select' : , ['kind'] : , ['parent'] : , } **Example definitions**:: region_0 = { 'name' : 'Omega', 'select' : 'all', } region_21 = { 'name' : 'Right', 'select' : 'vertices in (x > 0.99)', 'kind' : 'facet', } region_31 = { 'name' : 'Gamma1', 'select' : """(cells of group 1 *v cells of group 2) +v r.Right""", 'kind' : 'facet', 'parent' : 'Omega', } Fields ^^^^^^ Fields, long syntax:: field_ = { 'name' : , 'dtype' : , 'shape' : , 'region' : , 'approx_order' : } see :ref:`User's Guide-Fields` for meaning of , , and . **Example**: scalar P1 elements in 2D on a region Omega:: field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 1 } Variables ^^^^^^^^^ Variables, long syntax:: variables_ = { 'name' : , 'kind' : , 'field' : , ['order' : ,] ['dual' : ,] ['history' : ,] } where * - 'unknown field', 'test field' or 'parameter field' * - primary variable - order in the global vector of unknowns * - number of time steps to remember prior to current step **Example**:: variable_1 = { 'name' : 't', 'kind' : 'unknown field', 'field' : 'temperature', 'order' : 0, # order in the global vector of unknowns 'history' : 1, } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'temperature', 'dual' : 't', } Integrals ^^^^^^^^^ Integrals, long syntax:: integral_ = { 'name' : , 'order' : , } where * - the integral name - it has to begin with 'i'! * - the order of polynomials to integrate, or 'custom' for integrals with explicitly given values and weights **Example**:: integral_1 = { 'name' : 'i1', 'order' : 2, } import numpy as nm N = 2 integral_2 = { 'name' : 'i2', 'order' : 'custom', 'vals' : zip(nm.linspace( 1e-10, 0.5, N ), nm.linspace( 1e-10, 0.5, N )), 'weights' : [1./N] * N, } Essential Boundary Conditions and Constraints ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ See :ref:`User's Guide-EssentialBC` for details. Dirichlet Boundary Conditions """"""""""""""""""""""""""""" Dirichlet (essential) boundary conditions, long syntax:: ebc_ = { 'name' : , 'region' : , ['times' : ,] 'dofs' : { : [, : , ...]} } **Example**:: ebc_1 = { 'name' : 'ZeroSurface', 'region' : 'Surface', 'times' : [(0.5, 1.0), (2.3, 5)], 'dofs' : {'u.all' : 0.0, 'phi.all' : 0.0}, } Periodic Boundary Conditions """""""""""""""""""""""""""" Periodic boundary conditions, long syntax:: epbc_ = { 'name' : , 'region' : (, ), ['times' : ,] 'dofs' : { : [, : , ...]}, 'match' : , } **Example**:: epbc_1 = { 'name' : 'up1', 'region' : ('Left', 'Right'), 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_y_line', } Linear Combination Boundary Conditions """""""""""""""""""""""""""""""""""""" Linear combination boundary conditions, long syntax:: lcbc_ = { 'name' : , 'region' : (, ) | , ['times' : ,] 'dofs' : { : | None[, ...]}, ['dof_map_fun' : | None,] 'kind' : , [] } **Example**:: lcbc_1 = { 'name' : 'rigid', 'region' : 'Y2', 'dofs' : {'u.all' : None}, 'kind' : 'rigid', } Initial Conditions ^^^^^^^^^^^^^^^^^^ Initial conditions, long syntax:: ic_ = { 'name' : , 'region' : , 'dofs' : { : [, : , ...]} } **Example**:: ic_1 = { 'name' : 'ic', 'region' : 'Omega', 'dofs' : {'T.0' : 5.0}, } Materials ^^^^^^^^^ **Example**:: material_10 = { 'name' : 'm', 'values' : { # This gets tiled to all physical QPs (constant function) 'val' : [0.0, -1.0, 0.0], # This does not - '.' denotes a special value, e.g. a flag. '.val0' : [0.0, 0.1, 0.0], }, } material_3 = { 'name' : 'm2', 'function' : 'get_pars', } def get_pars(ts, coors, mode=None, **kwargs): out = {} if mode == 'qp': # out['val'] = nm.ones((coors.shape[0], 1, 1), dtype=nm.float64) else: # special mode out['val0'] = True return out Configuring Solvers ^^^^^^^^^^^^^^^^^^^ Linear solver:: solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } Nonlinear solver:: solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, 'is_linear' : False, } sfepy-release_2015.1/doc/release_notes.rst000066400000000000000000005257271247364230400206060ustar00rootroot00000000000000# created: 20.07.2007 (-1) .. _2014.4-2015.1: from 2014.4 to 2015.1 ===================== - support multiple fields in IGA - merge branch iga-multifield - move NurbsPatch-related code in IGDomain.__init__() to NurbsPatch.__init__() - update IGMapping for nurbs patch other than domain.nurbs - update IGMapping.__init__() - new nurbs argument - update docstring - allow 'iga*' approximation order in parse_approx_order() - new NurbsPatch.elevate() - update IGField.__init__() for degree elevation of NURBS basis - new approx_order argument in IGField.__init__() - new parse_approx_order() - use self.nurbs instead of self.domain.nurbs in IGField - update .get_econn(), .set_dofs(), .create_mapping(), .create_output() - new ._get_facets() - remove IGDomain.facets - new meshes/iga/block2d.iga - new examples/navier_stokes/navier_stokes2d_iga.py + test - IGA: - new eval_bspline_basis_tp() - use if all weights are one - new is_nurbs(), update igac.pyx - pre-compute Bernstein basis in eval_mapping_data_in_qp(), eval_variable_in_qp() - update eval_bspline_basis_tp(), eval_nurbs_basis_tp() - fix get_facet_axes() in 2D - fix get_surface_degrees() - fix connectivity types in create_connectivity_1d() - update get_bezier_element_entities() to return also vertices - new create_from_igakit(), update gen_patch_block_domain() - new NurbsPatch._to_igakit(), ._from_igakit(), update .elevate() - update IGField.__init__() for str or None approx_order values - redesign handling of solver parameters - merge branch solver-parameters - new SolverMeta - new format_next(), typeset_to_indent(), make_option_docstring() - new par_template - update Solver to use SolverMeta, new generic Solver.process_conf() - update LinearSolver.get_tolerance() for no tolerances in conf, clean up - update basic linear solvers for SolverMeta, new ._parameters class attribute - update ScipyDirect, ScipyIterative, PyAMGSolver, PETScKrylovSolver, PETScParallelKrylovSolver - remove .process_conf() - update nonlinear solvers for SolverMeta, new ._parameters class attribute - update Newton, ScipyBroyden, Oseen - remove .process_conf() - support extra parameters in Solver.process_conf() - marked by '*' name in _parameters solver attribute - update optimization solvers for SolverMeta, new ._parameters class attribute - update FMinSteepestDescent, ScipyFMinSolver - remove .process_conf() - update remaining linear solvers for SolverMeta, new ._parameters class attribute - update SchurGeneralized, SchurComplement, MultiProblem - remove .process_conf() - remove 'needs_problem_instance' solver parameter - remove 'needs_problem_instance' from examples - rename Newton parameter 'problem' -> 'is_linear' - update Newton.parameters, .__call__() - update Problem.is_linear(), .set_linear() - docs: update for 'is_linear' - update examples for 'is_linear' (remove default setting, reformat if needed) - update SemismoothNewton for SolverMeta, new ._parameters class attribute - remove .process_conf() - update time-stepping solvers for SolverMeta, new ._parameters class attribute - update StationarySolver, EquationSequenceSolver, SimpleTimeSteppingSolver, ExplicitTimeSteppingSolver, AdaptiveTimeSteppingSolver - remove .process_conf() - update eigenvalue solvers for SolverMeta, new ._parameters class attribute - update ScipyEigenvalueSolver, ScipySGEigenvalueSolver, LOBPCGEigenvalueSolver, PysparseEigenvalueSolver - remove .process_conf() - use SchurComplement solver in linear_elastic_up.py example - solvers: - remove ls.umfpack solver (class Umfpack), replace by ls.scipy_direct - clean up sfepy/solvers/ls.py - remove unneeded code in make_implicit_step() - fix default i_max of LOBPCGEigenvalueSolver, use verbose option - obey verbose option and eigenvectors argument in PysparseEigenvalueSolver - fix default i_max, eps_a - move imports to .__init__() for early failure - new Solver.build_solver_kwargs() - refactor ScipyEigenvalueSolver, ScipySGEigenvalueSolver - ScipyEigenvalueSolver uses dense or sparse scipy linalg functions, new method option, support extra options - ScipySGEigenvalueSolver uses dense lapack functions, remove force_n_eigs option - imports moved to .__init__() for early failure - use Solver.build_solver_kwargs() in ScipyFMinSolver - clean up sfepy/solvers/optimize.py - clean up sfepy/solvers/oseen.py - clean up sfepy/solvers/semismooth_newton.py - scripts: - script/gen_iga_patch.py: new --cp-mode option, update gen_patch_block_domain() - script/gen_gallery.py: update views for centered scene - miscellaneous updates: - new Region.from_cells() - clean up tests/sympy_operators.py - fix get_mem_usage() (workaround of pyparsing object with iteritems of str type) - update units_of_quantities (add density), prefixes (add 'p', 'T') - fix GenericFileSource.get_bounding_box() - fix mappings, QP and base function key collisions - use integral order instead of name in mapping keys, in QP and base function keys - make region name the first item in mapping keys - update Approximation, SurfaceApproximation, Field, FieldVariable, Term, NewTerm - update QuadraturePoints docstring - support all QuadraturePoints.__init__() arguments in Integral.__init__() - update Integral.get_qp() - update actor positions in Viewer.build_mlab_pipeline() to center scene - fix sympy.zeros() calls for sympy 0.7.6 - new bspline functions (curve and surface) - update SplineBox: use bspline.py functions, new test - update BSpline.basis_function_dg() for degree 0 - add linear solver argument to make_l2_projection(), make_l2_projection_data() - fix SchroedingerApp.solve_eigen_problem() to request eigenvectors - fix for updated PysparseEigenvalueSolver - tests and examples: - new examples/standalone/interactive/modal_analysis.py - update test_install.py to test modal_analysis.py example - update examples/navier_stokes/navier_stokes2d.py - generated domain, new BC - remove unused rectangle_fine_quad.mesh, rectangle_fine_tri.mesh - regenerate IGA meshes with greville control points mode - new tests/test_input_linear_elastic_iga.py, tests/test_input_poisson_iga.py - new tests/test_eigenvalue_solvers.py - docs: - sync module index of developer guide with current sources - update citing section - update list of applications - update list of IGA examples - update description of IGA field definition - update installation notes: - add Anaconda distribution info - update tested versions - bux-fixes - minor reorganization and clean up .. _2014.3-2014.4: from 2014.3 to 2014.4 ===================== - preliminary support for 1D problems - merge branch 1d - update CMesh for 1D (preliminary support) - update Region, Domain and FEDomain for 1D, update orient_elements() - update geometry_data - update diffusion and Navier-Stokes terms for 1D - update Term.geometries - update tests/test_term_call_modes.py for 1D - update C implementation of hyperelasticity for 1D - update VTKMeshIO.write() for 1D - add 1D reference elements meshes (1_2_1.mesh, 1_2_2.mesh) - new examples/diffusion/laplace_1d.py + test - update SDLinearElasticTerm for 1D - support custom material parameter values in tests/test_term_call_modes.py - update make_term_args() - add custom value for 'dw_s_dot_grad_i_s' in Test._test_single_term() - add custom view for laplace_1d.py example to script/gen_gallery.py - update GenericFileSource.get_bounding_box(), .create_dataset() for 1D - merge pull request #276 (VTK probes) - simplify probes, use pyVTK library - Primer - use VTK probes - new postrocessing function based on VTK, example - update User's guide - postrocessing filters - interactive example for Primer - merge branch its-interactive-example - update nodal_stress() to accept user-provided integrals - new examples/linear_elasticity/its2D_interactive.py - docs: add interactive example section to primer - scripts: - script/gen_iga_patch.py: report number of DOFs per axis - fix path in script/gen_lobatto1d_c.py - bug introduced in ec186b8c69b0719f483e11a864092a21a608a203 - clean up script/edit_identifiers.py - fix sys.path in auxiliary scripts and standalone examples - for cases where the current directory (i.e. top level sfepy directory) is not added automatically - script/gen_gallery.py: - omit examples that use VTK probes - bad interaction, probably with Mayavi, leads to segfault - simplify section titles, generate better labels - miscellaneous updates: - fix number of returned values for no refinement in refine_reference() - fix make_l2_projection_data() for parameter variables - IGA: update plot_iso_lines() for curves in 2D - tests and examples: - update test_install.py for current linear_elastic_probes.py - prevent modifying linear_elastic.py namespace in derived examples - new tests/test_input_linear_elastic_probes.py - docs: - fix testing instructions for installed build - update user's guide for interactive probing example in primer - fix IGA section for current sources - clean up script/gen_term_table.py, use common help and docstring - update script/gen_term_table.py: simpler table, correct links to term classes - update doc/index.rst for 1D and new gallery labels - sync doc/introduction.rst with doc/index.rst .. _2014.2-2014.3: from 2014.2 to 2014.3 ===================== - speed-up IGA by C implementation of NURBS basis evaluation - merge branches iga-c and iga-c-2 - new eval_bernstein_basis() in C in sfepy/discrete/iga/extmods/ - new sfepy/discrete/iga/extmods/nurbs.[ch] - new sfepy/discrete/iga/extmods/igac.pyx - new setup.py files - support DEBUG_FMF define in sfepy/discrete/iga/extmods/setup.py - update IGDomain.__init__() to have nurbs.cs in FMField compatible shape - new ravel_multi_index(), unravel_index() in C - new eval_nurbs_basis_tp() in C - new array2puint2(), array2puint1() helper functions - change return value of compute_bezier_extraction_1d() to 3D array - change nurbs.degrees dtype to int32 in IGDomain.__init__() - new eval_mapping_data_in_qp(), eval_variable_in_qp() in C - use in sfepy/discrete/iga/mappings.py - new eval_in_tp_coors() in C - update NurbsPatch.__call__() to use eval_in_tp_coors() - generalize linear combination boundary conditions to work between different fields/variables and to support non-homogeneous periodic conditions (non-zero right-hand side or shift) - merge branch 'lcbc' - closes #179, #267 - update transform_lcbcs() for new LCBC syntax - the syntax: region[, times], dofs, dof_map_fun, kind[, other arguments] - update Conditions.from_conf(), LinearCombinationBC.__init__() for new syntax - new LinearCombinationBC.canonize_dof_names() - new are_disjoint() - new LinearCombinationBC.get_var_names() - check that regions are disjoint in Variables.setup_lcbc_operators() - update Variables.setup_lcbc_operators() for new operators (to be done) - remove FieldVariable.create_lcbc_operators() - new kind attribute of LCBC operators - update LCBCOperator for two variables in two regions - rename & update LCBCOperator -> MRLCBCOperator (model reduction) - new general LCBCOperator for tying two variables in two regions - reimplement LCBCOperators, use common LCBCOperator constructor signature - update .__init__(), .add_from_bc(), .append(), .finalize() - move make_global_lcbc_operator() -> new LCBCOperators.make_global_operator() - new ShiftedPeriodicOperator - provide some defaults for long syntax in transform_lcbcs() - store field in MRLCBCOperator - update LCBC operators new base classes - update IntegralMeanValueOperator, RigidOperator, NoPenetrationOperator, NormalDirectionOperator - fix MRLCBCOperator active equation map for non-scalar variables - update MRLCBCOperator.treat_pbcs() - update Variables.setup_lcbc_operators(), .__init__(), FieldVariable.__init__() - new Variables.has_lcbc_rhs - rename Variables.op_lcbc, .rhs_lcbc -> .mtx_lcbc, .vec_lcbc - remove FieldVariable.has_lcbc - set vec_lc to None in LCBCOperators.make_global_operator() when no rhs - update LCBCEvaluator, eval_equations() for renamed operators - add comment to State.get_reduced() - update meshes/2d/square_quad.mesh to have two cell groups - simplify transform_conditions() - LCBCs treated in transform_lcbcs() - docs: update essential boundary conditions description, add EPBCs, LCBCs - tests and examples: - update examples and tests for new LCBC syntax - new examples/diffusion/laplace_coupling_lcbcs.py + test - new examples/linear_elasticity/elastic_shifted_periodic.py + test - new examples/standalone/interactive/laplace_shifted_periodic.py - new tests/test_lcbcs.py, test_laplace_shifted_periodic() - add custom views for laplace_coupling_lcbcs.py, elastic_shifted_periodic.py to script/gen_gallery.py - support non-constant essential boundary conditions given by a function in IGA - merge branch 'iga-ebc' - update IGField.get_econn() for surface connectivities - simplify IGField.get_dofs_in_region_group() by using .get_econn() - new get_facet_axes() - new solve() convenience wrapper - new create_boundary_qp() - new get_surface_degrees() - update IGField.set_dofs() for DOFs given by function, update docstring - initial implementation - examples: - update examples/linear_elasticity/linear_elastic_iga.py for EBCs by function - update custom view for linear_elastic_iga.py example in script/gen_gallery.py - IGA: - fix IGDomain.__init__() for standalone use - reset regions - fix IGField.create_output() for no key argument - new sfepy/discrete/iga/domain_generators.py - new gen_patch_block_domain() - fix plot_nurbs_basis_1d to use ax argument - regions: - new Region.kind_tdim attribute, new .set_kind_tdim(), update .set_kind() - make ig argument optional in Region.get_entities(), signature change - update Region.contains() to use other region kind entities - make sure entities are initialized in Region.get_entities() - update Region.setup_from_highest() - new allow_lower argument - works also when the highest dimension of entities is lower than requested - fixes selectors like 'vertices of surface *f vertices in (x < 0.0)' - new Region.finalize(), update Domain.create_region() - fix region definitions in tests and examples as reported by Region.finalize() - postprocessing and visualization: - remove import lines from sfepy/postprocess/__init__.py, update affected imports - update Viewer.call_mlab(): do not show GUI if show option is False - applications: - update SchroedingerApp.save_results() for custom mesh in out['__mesh__'] - relax too strict assertion in DensityVolumeInfo.__call__() - new: micro-recovery hook allows to return some values to the "master" macro-problem - scripts: - script/gen_iga_patch.py: use gen_patch_block_domain() - script/gen_iga_patch.py: plot 1D basis along patch mid-line - miscellaneous updates: - remove prints and config.py file generation from setup.py files - support user-specified ebcs, epbcs in Problem.save_ebc(), update docstring - fix Newton.__init__(), Oseen.__init__() to obey log plot option - normalize paths in top_dir, data_dir and base_dir - update import_file() to use full package paths for sfepy modules - prevents name clashes for different fields.py files - add can_reload argument to import_file() - do not force module reload in load_classes() - fix issue #263, ConstantFunctionByRegion - clean up sfepy/discrete/conditions.py - use os.sep instead of '/' for the pathname separator in import_file() - fix portability issue - fix extend_cell_data() for several groups, new average_surface argument - change keys in transform_epbcs() - report unknown LCBC kind in LCBCOperators.add_from_bc() - clean up run_tests.py, sfepy/base/testing.py, sfepy/discrete/materials.py, tests/tests_basic.py, sfepy/mechanics/matcoefs.py - fix set_mesh_coors() - update also cmesh coordinates - update get_debug() to allow frame specification in debug() - update MED file support, fix this issue: https://groups.google.com/forum/#!msg/sfepy-devel/z1e83Xgl1_U/884jDfKzKPsJ - fix setup.py - add missing plot_logs.py script - remove unused sfepy/physics/energy.py - examples: - do not force examples to be in a package - update import_file(), ProblemConf.from_file() - remove examples/diffusion/octahedron.py + test - no added value w.r.t. other diffusion examples - update examples/linear_elasticity/linear_elastic.py: comments -> docstring - docs: - module index of developer guide with current sources - fix docs generation without igakit - fix typeset_term_table() for import_file() using full package paths - add missing figure - replace alphas8bit with alphas - word_free with alphas8bit as default argument value in get_standard_type_defs() and list_dict() breaks sphinx docs generation on platforms with non utf-8 locale - new section on exploring the code in developer guide - fix download page - migrate tutorial "Using Salome with SfePy" from google site, see #171 - merge branch 'theory-docs' - new doc/ebcs_implementation.rst - explanation of EBCs implementation - move IGA section from tutorial to user's guide - new doc/theory.rst - move notes on solving PDEs from doc/tutorial.rst to new doc/solving_pdes_by_fem.rst - add doc/ebcs_implementation.rst to doc/theory.rst - update doc/index.rst - remove doc/notes.rst - simplify paragraph in doc/index.rst - simplify doc/introduction.rst - put Primer under Examples - merge pull request #275 (short syntax) - remove long syntax from the user's guide - new doc page with long syntax - tutorial with short syntax of keywords, closes #272 - add introductory paragraph to examples .. _2014.1-2014.2: from 2014.1 to 2014.2 ===================== - preliminary support for isogeometric analysis - merge branch 'iga' - new iga.py: compute_bezier_extraction_1d(), _get_knots_tuple(), eval_bernstein_basis(), compute_bezier_extraction(), get_raveled_index(), tensor_product(), combine_bezier_extraction(), create_connectivity_1d(), create_connectivity(), compute_bezier_control(), get_unraveled_indices(), eval_nurbs_basis_tp(), eval_variable_in_qp(), get_bezier_topology(), get_patch_box_regions(), get_bezier_element_entities(), eval_mapping_data_in_qp() - new plot_nurbs.py: plot_parametric_mesh(), plot_control_mesh(), plot_iso_lines(), plot_nurbs_basis_1d(), plot_bezier_mesh(), _get_edges(), plot_bezier_nurbs_basis_1d() - new utils.py: create_linear_fe_mesh(), create_mesh_and_output(), save_basis() - new io.py: write_iga_data(), read_iga_data() - add filename_domain as alternative to required keywords - update PDESolverApp.setup_output_info() for filename_domain keyword - simplify Domain.has_faces() - remove unused Domain.get_conns() - initialize shape in Domain.__init__() - move common Domain code into new sfepy/discrete/common/domain.py - move & update region_leaf() - move region_op(), Domain.get_centroids(), .has_faces(), .reset_regions(), .create_region(), .create_regions(), .save_regions(), .save_regions_as_groups() - rename original Domain -> FEDomain, update FEDomain.__init__() - new Domain.__init__() - new sfepy/discrete/iga/domain.py - new IGDomain - new .from_file(), .__init__() - update Problem.from_conf() for FEDomain, IGDomain - new NurbsPatch - ._get_ref_coors_1d(), .__call__(), .evaluate() - move common Field code into new sfepy/discrete/common/fields.py - move Field.from_args(), .from_conf(), ._setup_kind() - move parse_approx_order(), setup_extra_data(), fields_from_conf() - rename original Field -> FEField, update FEField.__init__() - update VolumeField, SurfaceField parent class - new parse_shape(), update FEField.__init__() - new sfepy/discrete/iga/fields.py - new IGField - new .__init__(), .get_true_order(), .is_higher_order() - new .get_econn(), .setup_extra_data() - volume only - new IGField.get_dofs_in_region_group() - new IGField.set_dofs() - only for a constant value over an entire patch side - new IGField.create_mapping() - new IGField.create_output() - initial version with hard-coded values - output mesh corresponding to uniform parametric mesh is returned as out['__mesh__'] - update Problem.save_state() for custom mesh in out['__mesh__'] - update parse_approx_order(), Field.from_conf() for IGField - get dimension from domain in FieldVariable._set_field() - move FEField.get_dofs_in_region() into Field - move common Mappings code into new sfepy/discrete/common/mappings.py - move PhysicalQPs, get_mapping_data(), get_jacobian(), get_normals() - replace create_mapping() by new Mapping.from_args() - rename original Mapping -> FEMapping - move .get_physical_qps() - update VolumeMapping, SurfaceMapping parent class - move mapping handling code from FEField to Field - move .clear_mappings(), .save_mappings(), .get_mapping() - update Field.get_mapping() to use .create_mapping(), fix docstring - update FEField.create_mapping() to return both CMapping and Mapping - do not use domain shape in Field.get_mapping() - remove sharing of full group mappings - do not use mesh coordinates in Material.update_special_data() - new sfepy/discrete/iga/mappings.py - new IGMapping - new .__init__(), .get_geometry(), .get_physical_qps(), .get_mapping() - update Mapping.from_args() for IGMapping - use Field.get_econn() in FieldVariable.evaluate() - do not use Approximation.get_connectivity() - update VolumeField.get_econn() - add integration argument - update signature of SurfaceField.get_econn(), IGField.get_econn() - move FieldVariable.get_data_shape() functionality to Field subclasses - new FEField.get_data_shape(), IGField.get_data_shape() - remove Approximation.get_v_data_shape(), .get_s_data_shape() - update H1DiscontinuousField.extend_dofs(), .remove_extra_dofs() for FEField - new is_surface attribute of fields - update VolumeField._setup_geometry(), SurfaceField._setup_geometry() - update FieldVariable._set_field() - does not import SurfaceField from sfepy.discrete - update sfepy/discrete/__init__.py for common Domain, Field - update sfepy/discrete/fem/__init__.py for FEDomain - update domain creating code for FEDomain - update 'surface_extra' assembling cells in Term.get_assembling_cells() - for Field.get_econn() in FieldVariable.evaluate() - surface regions have no more a complete group DOF connectivity - update 'volume' Term.get_assembling_cells() for subdomains - for Field.get_econn() in FieldVariable.evaluate() - subdomain volume regions have no more a complete group DOF connectivity - trivial now, could be removed - update FieldVariable.setup_initial_conditions() to use Field.set_dofs() - tests and examples: - fix get_pars() in tests/test_functions.py for None in coors argument - update import in _integrate() in tests/test_term_consistency.py - new meshes/iga/patch2d.iga - new examples/diffusion/poisson_iga.py - new meshes/iga/block3d.iga - new examples/linear_elasticity/linear_elastic_iga.py - update test_install.py to test poisson_iga.py example - scripts: - new script/gen_iga_patch.py - add custom view for poisson_iga.py example to script/gen_gallery.py, sort custom dict by keys - add custom view for linear_elastic_iga.py example to script/gen_gallery.py - docs: - update developer guide for IGA, split sfepy.discrete contents list - new IGA section in tutorial, update links and index - update optional installation dependencies - postprocessing and visualization: - postproc.py: update --layout option for row#n, col#n layouts - update get_position_counts(), Viewer.get_size_hint() - always use cell-to-point filter for domain-specific plots - point scalars work as color_name - update Viewer.build_mlab_pipeline() - update file sources for providing both steps and times - update FileSource.reset(), .get_step_range() - remove FileSource.set_step(), VTKFileSource.get_step_range(), VTKSequenceFileSource.get_step_range(), GenericFileSource.get_step_range() GenericSequenceFileSource.get_step_range() - update GenericFileSource.__init__(), .read_common(), .file_changed() - new FileSource.get_step_time(), .get_ts_info() - new VTKSequenceFileSource.__init__() - new GenericSequenceFileSource.read_common() - update postproc.py, Viewer for updated file sources, add slider for times - update Viewer.call_mlab() - update SetStep - new ._time_editor, .time, .time_low, .time_high, .is_adjust ._time_changed() - update .__source_changed(), ._step_changed(), ._file_changed_changed() - update Viewer.save_animation() for selected steps or times - update Viewer.get_animation_info(), .encode_animation() - remove FileSource.get_step_range() - remove animate, anim_format arguments from Viewer.__init__() - update view_file(), postproc.py - update Viewer.call_mlab(), make_animation() - update Viewer, ViewerGUI for saving snapshots in given ranges of steps/times - update Viewer.call_mlab(), make_animation() - update SetStep: - new .seq_* traits - new .init_seq_selection(), ._seq_n_step_changed(), ._seq_dt_changed() - new ClosingHandler - update ViewerGUI: - custom quit button - remove button_make_animation, button_make_snapshots buttons - new button_make_animation_steps, button_make_snapshots_steps button_make_animation_times, button_make_snapshots_times buttons + their handlers - postproc.py: new --time option - change default of --step to None, --step has precedence over --time - update view_file(), Viewer.call_mlab() - postproc.py: improve --list-ranges - for HDF5 result files, output union of ranges for all steps if --step or --time are not given - output in form suitable for --ranges - fix suffix returned by Viewer.get_animation_info() - remove auto_screenshot argument of Viewer.__init__() - update .call_mlab() - postproc.py: update --output option behaviour, update docstring - input-output: - update defaults for missing output data attributes in HDF5MeshIO.write() - only mode and data are required - provide better default values in MeshIO.read_times() - scripts: - new script/plot_logs.py - plot text file logs of variables saved by Log - update schroedinger.py: remove mesh generation options, simplify - remove --create-mesh, --2d, --mesh, --mesh-dir options - new --n-eigs, --tau options for updated examples/quantum/ - update docstring - script/extract_surface.py: fix default value of --mesh option - update script/gen_gallery.py for current Viewer - save image explicitly - fix docstring formatting of script/convert_mesh.py - terms: - make material argument of dw_tl_surface_traction optional - update SurfaceTractionTLTerm, dw_tl_surface_traction() - new VolumeSurfaceTLTerm (d_tl_volume_surface) - new d_tl_volume_surface() - move SurfaceTractionTLTerm.compute_family_data() to new common class - new HyperElasticSurfaceTLBase - update SurfaceTractionTLTerm, VolumeSurfaceTLTerm - new SurfaceFluxTLTerm (d_tl_surface_flux) - new d_tl_surface_flux() - fix setting cells of normals in dw_surface_v_dot_n_s(), dw_surface_s_v_dot_n() - fix arg_shapes of LaplaceTerm - new SurfaceFluxOperatorTerm (dw_surface_flux) - new dw_surface_flux() - fix mat_le_stress() for heterogeneous parameters in 2D - solvers: - update cm_pb solver: add "master problem" to kwargs - improve linear solution precision warning message in Newton.__call__() - new eps_mode parameter of Newton solver, update conv_test() - clean up sfepy/solvers/nls.py, add module and conv_test() docstrings - update PETScParallelKrylovSolver - new log_dir option - closes #250 - remove obsolete is_plot option from Newton and Oseen solvers - miscellaneous updates: - fix create_adof_conns(): problem with trace - fix docstring of Region.get_facet_indices() - new get_simplex_volumes() - update read_log() for general (float) x values - fix read_log() for vlines before actual data - fix solve_pde() to preserve conf.options class - use tight layout in LogPlotter.process_command() after plotting labels - fix surface mode in extend_cell_data() - fix Problem.create_evaluable() to use copies of problem variables - update test_install.py for meshes/quantum/ and schroedinger.py changes - use tempfile in gen_misc_mesh() - remove mesh coordinate transformation code in Problem.from_conf() - remove tmp/.ignore - update make_l2_projection_data() for array data, new order argument, fix overwriting of target._variables - new get_condition_value(), update EquationMap.map_equations() - update EquationMap.map_equations() to use get_condition_value() for EPBCs - tests and examples: - increase required precision in examples/acoustics/acoustics3d.py - allow trying mesh refinement in tests/test_linear_solvers.py - clean up tests/test_volume.py - update tests/test_volume.py to test TL volume terms, new test_volume_tl() - update examples/quantum/ - use meshes/quantum/square.mesh - update quantum_common.py to use square.mesh, add docstring, increase approximation order to 2, update common() arguments - new arguments to define() in examples: n_eigs, tau - remove unused meshes in meshes/quantum/ - update meshes/quantum/square.geo - new meshes/quantum/square.mesh (corresponds to meshes/quantum/square.geo) - docs: - update developer guide for sfepy/discrete/ - update support section - update years in LICENSE - replace link by contents of LICENSE, new doc/license.rst - update year in doc/conf.py - remove obsolete Intel Mac installation instructions - update platform-specific notes - simplify INSTALL, update installation and links - new citing section in index .. _2013.4-2014.1: from 2013.4 to 2014.1 ===================== - new handling of field and variable shapes: - use region space dimension instead of field shape in vector LCBC operators - use DOF per node count instead of field shape in IntegralMeanValueOperator - update Field.from_args(), __init__() docstrings (shape parameter) - update Field: new n_components, val_shape attributes, new H1Mixin - inherit H1NodalMixin from H1Mixin, update .set_dofs() - inherit H1HierarchicVolumeField from H1Mixin, update .set_dofs() - remove n_components argument in Variable, FieldVariable constructors - update Variable.__init__(), FieldVariable.__init__() - update Variable._setup_dofs() - new n_components, val_shape arguments - update FieldVariable._set_field() - set n_components, val_shape from field - update sfepy.fem modules for no n_components argument - update scripts, examples and tests for no n_components argument - update docs for no n_components argument - remove Field.setup_dof_conns() (duplicated in VolumeField.setup_dof_conns()) - remove dpn argument of {VolumeField, SurfaceField}.setup_dof_conns() - create active DOF connectivities directly from field connectivities: - fields have no dof_conns dict - remove create_dof_conn(), setup_dof_conns(), Field.clear_dof_conns() VolumeField.setup_dof_conns(), SurfaceField.setup_dof_conns() - new VolumeField.get_econn(), SurfaceField.get_econn() - update Field.__init__() - remove Variables.setup_adof_conns(), FieldVariable.setup_adof_conns() - new create_adof_conns(), Variables.set_adof_conns() - update create_adof_conn(), Variable.__init__() - update sfepy.fem for create_adof_conns() - remove Equations.setup() - remove setup, make_virtual, verbose arguments of Equations.__init__() - remove setup, make_virtual arguments of Equations.from_conf() - update Equations.time_update(), create_evaluable(), ProblemDefinition.set_equations() - update Term.standalone_setup() for create_adof_conns() - variables, equations: - update active DOF connectivities only when needed in Equations.time_update() - initialize adof_conns in Variables.__init__() - remove active argument of FieldVariable.get_dof_conn() - update Variable.get_primary(), .get_dual() for incomplete variables - selective equations evaluation - new ProblemDefinition.eval_equations() - update Equations.evaluate() - split weak branch, fix/update docstring - add verbosity argument to FieldVariable.evaluate_at() - terms: - update LinearTractionTerm: new eval mode - regions: - fix passing region kind argument in Region.from_facets() - add parent argument to Region.from_facets() - report no entities error in Region.setup_from_highest() - solvers: - update ProblemDefinition to provide and store default nls_status - update .__init__(), .init_solvers() to use .set_solvers_instances() - update .set_solvers_instances() to set .nls_status - update .solve() to use nls_status and set .nls_status - fix make_implicit_step() to use nls_status argument in all time steps - fix time step decrease in adapt_time_step() - update current time - update VariableTimeStepper.set_time_step() - new update_time argument - mechanics: - new get_t4_from_t2s() helper function - clean up, update tests/test_tensors.py - homogenization: - clean up sfepy/homogenization/engine.py - clean up homogen.py - large deformation: - prevent false memory errors after warp violation in dq_finite_strain() - fix false memory errors after warp violation in dq_tl_finite_strain_surface() - fix error reporting of finite strain family functions - mesh generation: - vectorize gen_block_mesh(), new get_tensor_product_cells() - scripts: - new script/plot_times.py - taken from plant cell mechanics project - miscellaneous updates: - fix transform_asm_vectors() - re-add '2_2', '3_2' to vtk_cell_types - remove unused filename argument of IntegralMeanValueOperator.__init__() - save LCBC data only in the initial time step of LCBC application - fix ProblemDefinition.save_ebc() for no equations (--solve-not option) - move sfepy/physics/radial_mesh.py into specialized repository - new sfepy/base/mem_usage.py - get_mem_usage(), print_mem_usage() - new ProblemConf.update_conf(), .add_missing() - fix link in docstring of ProblemDefinition.update_materials() - update parsing lexical elements of problem configuration - new list_dict() - fix approx_order description in Field.__init__() docstring - update QuadraturePoints.from_table() docstring - fix IndexError in Mesh.from_region() / detected on Win8 - update plot_dofs.py for 1D - update ConstantFunctionByRegion.get_constants() to use Region.get_cells() - update SplineBox.__init__(), new coors_shape attribute - tests and examples: - fix typo in examples/piezo_elasticity/piezo.py - fix docstring of examples/navier_stokes/stokes_slip_bc.py - update test_install.py to test mesh generation/conversion scripts - update test_install.py to test probe.py, extractor.py - general clean up: - remove kill_* shell scripts - remove unused Variable.get_full_state() - remove .hgignore - remove sfepy/mesh/femlab.py, sfepy/mesh/meshutils.py - remove friction_slip.py, sfepy/mechanics/friction.py - remove isfepy, sfepy/interactive/ - update Viewer docstring, docs - remove plotPerfusionCoefs.py - remove script/config.py - remove sfepy/base/progressbar.py - update sfepy/ for no progress bar - split sfepy.fem - separate FEM-specific and general modules: - merge branch 'split_fem' - rename sfepy/fem/ -> sfepy/discrete/fem/ - move general files from sfepy/discrete/fem/ to sfepy/discrete/ - update setup.py files for new paths - split fem/dof_info.py -> common/dof_info.py, fem/lcbc_operators.py - update sfepy/discrete/__init__.py, sfepy/discrete/fem/__init__.py - update sfepy/ for new paths - update top level scripts for new paths - update examples for new paths - update tests for new paths - update scripts for new paths - update docs for new paths - update docstrings for new paths - update MANIFEST.in for new paths - require integral argument in Approximation.describe_geometry() - make Region.create_mapping() a standalone function create_mapping() - update get_physical_qps() - fix Region.iter_cells() for subdomains - add cell_offsets attribute to Domain, use it in Region - simplify Domain.get_cell_offsets() - move fem/region.py -> common/region.py - new Domain.get_evaluate_cache() - remove mesh argument from probe constructors, remove all mesh references - update Probe.probe() to use Domain.get_evaluate_cache() - simplify Probe.__init__() - move discrete/fem/probes.py -> discrete/probes.py - update examples for moved and updated probes - rename ProblemDefinition -> Problem - rename many modules (fix according to naming conventions): - genPerMesh.py -> script/tile_periodic_mesh.py - findSurf.py -> script/extract_surface.py - script/evalForms.py -> script/eval_ns_forms.py - runTests.py -> run_tests.py - sfepy/optimize/shapeOptim.py -> sfepy/optimize/shape_optim.py - sfepy/optimize/freeFormDef.py -> sfepy/optimize/free_form_def.py - termsAcoustic.{py, c, h} -> terms_acoustic.{py, c, h} - termsAdjointNavierStokes.{py, c, h} -> terms_adj_navier_stokes.{py, c, h} - termsBasic.{py, c, h} -> terms_basic.{py, c, h} - termsBiot.{py, c, h} -> terms_biot.{py, c, h} - termsElectric.{py, c, h} -> terms_electric.{py, c, h} - termsLaplace.{py, c, h} -> terms_diffusion.{py, c, h} - termsLinElasticity.{py, c, h} -> terms_elastic.{py, c, h} - termsNavierStokes.{py, c, h} -> terms_navier_stokes.{py, c, h} - termsPiezo.{py, c, h} -> terms_piezo.{py, c, h} - termsPoint.py -> terms_point.py - termsSurface.{py, c, h} -> terms_surface.{py, c, h} - termsVolume.{py, c, h} -> terms_volume.{py, c, h} - termsHyperElasticity.{c, h} -> terms_hyperelastic.{c, h} - formSDCC.{c, h} -> form_sdcc.{c, h} - tests/testsBasic.py -> tests/tests_basic.py - docs: - fix gallery page title - new download page with the downloads counter - add debugging section to installation.rst - update development tab - fix and update description of defining material parameters by functions - delete findSurf.py related text - sync module index of developer guide with current sources .. _2013.3-2013.4: from 2013.3 to 2013.4 ===================== - fix nodal polynomial spaces for orders >= 3: - merge branch 'fix_nodal_basis' - closes #205 - fix get_facet_dof_permutations(), H1NodalMixin._setup_facet_orientations() - permutations should come from facet nodes in reference order - increase approximation orders of 3_4, 3_8 in tests/test_poly_spaces.py - prevent building ori_map for higher order elements in FESurface.__init__() - fields: - reimplement get_facet_dof_permutations() using simple iterators - update Field.from_conf() to set field kind from region kind - update surface field syntax in examples - simplify integrals - remove integral kind: - update transform_integrals() - remove/ignore integral kind - clean up sfepy/fem/integrals.py, add module docstring - remove kind attribute of Integral - remove Integral.get_key() - update Term for no integral kind, remove .get_integral_info() - remove PointTermBase - update sfepy.fem modules for no integral kind - allow 'i' as integral name in equations - update examples for no integral kind - update tests for no integral kind - docs: update users guide and tutorial for no integral kind - mesh, domain, regions: - add tdim argument to mesh_set_coors() - update CMesh to use max. topological dimension - new tdim attribute - update Region to use max. topological dimension - new tdim attribute - add tdim attribute to Domain.shape - update fields for max. topological dimension - start support of 'plate' integration/connectivity type - merge branch 'plate_mapping' - update CMapping - new mtx_t attribute - update Approximation.describe_geometry() for plate integration - update get_physical_qps() - new map_kind argument - update Term.get_physical_qps() for plate integration - update get_shape_kind(), Term.iter_groups() for plate integration - update FieldVariable.get_data_shape(), .evaluate() for plate integration - update Approximation.get_connectivity() for plate integration - new transform_asm_vectors(), transform_asm_matrices() - update TLMembraneTerm.weak_function() - use transform functions - equation sequence solver: - new Variables.get_dual_names() - clean up sfepy/fem/equations.py, add module docstring - new Equations.get_variable_dependencies() - new sfepy/base/resolve_deps.py - functions for resolving dependencies - new get_nums(), solvable(), remove_known(), try_block(), resolve() - update tests/test_base.py: new test_resolve_deps() - new Equations.create_subequations() - new ProblemDefinition.create_subproblem() - new EquationSequenceSolver for stationary problems with an equation sequence - new examples/thermo_elasticity/thermo_elasticity_ess.py + test - scripts: - script/save_basis.py: fix mesh mode, make permutations directly from mesh - script/plot_mesh.py: fix help message - simple.py: --list option can list solvers, new print_solvers() - new script/plot_quadratures.py - closes #178 - update QuadraturePoints.from_table() to store true order - new sfepy/postprocess/plot_quadrature.py - new script/show_terms_use.py - clean up script/eval_tl_forms.py, update for current sympy - clean up script/evalForms.py, update for current sympy - terms: - new ContactSphereTerm (dw_contact_sphere) - rename sfepy/mechanics/contact_planes.py -> sfepy/mechanics/contact_bodies.py - new ContactSphere - elastic contact sphere - new ContactPlaneTerm._get_force_pars(), update .get_fargs() - fix empty array condition in ContactPlaneTerm.smooth_f() - fix docstring of VolumeSurfaceTerm - remove Term.has_integral, .itype, .raw_itype attributes (unused) - fix form_tlcc_strainGreen_VS() - Green strain computation for post-processing - out-of diagonal entries are no more doubled - homogenization: - update AcousticMassTensor, AppliedLoadTensor zero division check, fix eye call - update MiniAppBase.init_solvers(): allow to use different solvers for the correctors - miscellaneous updates: - new sfepy/linalg/check_derivatives.py - check_fx(), check_vfvx() - update HypermeshAsciiMeshIO reader: support for quad4 and tri3 cells - update mesh reading/writing: print infromation about supported cell types - generalize dict_to_array() for nD arrays - fix type errors under Windows: in nm.take() cells - fix dict_to_array() for non-array sequences - update QuadraturePoints.from_table() to store true order - simplify ProblemDefinition.__init__() - re-implements #212 - clean up sfepy/fem/parseEq.py - clean up sfepy/fem/variables.py, add module docstring - examples and tests: - new examples/linear_elasticity/elastic_contact_sphere.py + test - update docstrings of poisson.py, poisson_short_syntax.py examples - add mutual references, tutorial reference - remove comments in examples/diffusion/poisson.py as their text is in the tutorial - update docstring of poisson_periodic_boundary_condition.py example - update docstring of poisson_field_dependent_material.py example - new examples/diffusion/poisson_neumann.py + test - closes #195 - docs: - fix issue, closes #236: move downloads from http://code.google.com/p/sfepy/ to sfepy.org/downloads - fix duplicated module index in html - remove link to GoogleWiki - add labels to tutorial .. _2013.2-2013.3: from 2013.2 to 2013.3 ===================== - new implementation of Mesh topology data structures in C: - merge branch 'cmesh' - rename mesh.pyx -> cmesh.pyx - new C mesh data structures: - new mesh.c, mesh.h - new MeshGeometry, MeshConnectivity, MeshTopology, Mesh, Region, Indices - mesh construction, printing - new MeshEntity, MeshEntityIterator + related functions - connectivity computation algorithms: mesh_transpose(), mesh_intersect(), mesh_build(), face and edge orientations - new CConnectivity, CMesh - cython wrappers of C mesh structures - new functions for getting entities incident to given entity: new Indices, me_get_incident(), me_get_incident2(), contains() - new functions for setting up local entities: - Mesh and CMesh: new .entities attribute, new LocalEntities struct - support DEBUG_MESH flag in sfepy/fem/extmods/ - new debprintf(), use it in mesh connectivity setup functions - new tests/test_cmesh.py - test_cmesh_counts() - miscellaneous updates: - clean up common_python.c, common.h, fix size_t format specifiers - new mem_list_new(), mem_list_remove(), mem_check_ptr(), update mem_alloc_mem(), mem_free_mem() - new cmem_statistics() to access mem_statistics() from Python - new mem_get_cur_usage(), mem_get_max_usage(), get_cmem_usage() C functions - new get_cmem_usage() - new implementation of regions based on CMesh, CMesh improvements (w.r.t. above): - merge branch 'regions' - Region (summary): - new attributes: kind, true_kind, entities, can, can_vertices, can_edges, can_faces, parent - removed attributes: true_cells, all_vertices - use CMesh - vertices, edges, faces, facets and cells are properties pointing to .entities attribute, automatically created when needed - refactor Region, part 1 - use CMesh - new Region.setup_from_highest(), .setup_from_vertices() - vertices, edges, faces, facets and cells are properties pointing to .entities attribute, automatically created when needed - refactor Region, part 2 - update operators - remove old operators - new .eval_op_vertices(), .eval_op_edges(), .eval_op_faces(), .eval_op_facets(), .eval_op_cells() - simplify region_op() - refactor Region, part 3 - update special constructors - update .from_vertices(), update & rename .from_faces() -> .from_facets() - refactor Region, part 4 - group compatibility functions - new .igs property - update .update_shape(), .get_vertices_of_cells(), .get_vertices(), .get_edges(), .get_faces(), .get_surface_entities() -> .get_facets(), .get_cells() - remove .delete_zero_faces() body, .select_cells(), .select_cells_of_surface(), .has_cells_if_can() - update docstring - refactor Region, part 5 - all_vertices -> vertices - call region.update_shape() in Domain.create_region() - remove Region.select_cells_of_surface(), .setup_face_indices() calls - update FESurface.__init__() - update VolumeField._setup_geometry() - update Region.create_mapping(), .has_cells() - Region (other details): - new Region.__can, .__facet_kinds class attributes, add kind to .__init__() arguments - update Region.__init__() - new Region.set_kind() - replace Region.setup_face_indices() with new Region.get_facet_indices() - add group offset in Region.get_cells() by default - update Region.setup_mirror_region() - use parent region information, update term igs in Term.get_conn_info() - new Region.get_entities() - update Region: force creation of region entities to respect region kind - new Region._access() - warn about empty group indices in Region.igs() - update Region.iter_cells(), .get_charfun() - update Region.get_edge_graph() - C mesh: - new Mask struct - new mesh_select_complete() C function, new CMesh.get_complete() - new CMesh.get_surface_facets() - new mei_init_sub() C function - connectivity subset iterator - new CMesh.get_incident()- new mesh_count_incident(), mesh_get_incident() C functions - new CMesh.get_conn_as_graph() - new CMesh.get_from_cell_group(), .get_igs() adapter functions - for compatibility until new assembling is done - new CMesh.cell_groups attribute, update CMesh.from_mesh() - fix uninitialized memory error in mesh_build() - manifested on 32 bit platforms - update CMesh.get_incident() to optionally return offsets, update mesh_get_incident() - new mesh_get_local_ids() C function, CMesh.get_local_ids() - new CMesh.get_cell_coors(), mesh_get_cell_coors() C function - fix facet orientation computation in mesh_build() - fix array sizes in CMesh.setup_entities() - new CMesh.get_orientations() - improve debprintf() messages - new ind_print() C function - fix mei_init_conn(), conn_alloc() for no incident entities - check for zero length entities argument in CMesh - update .get_incident(), .get_local_ids(), .get_complete(), .get_igs() - fix facet orientation computation in mesh_build(), try 2: wrong last index - fix return type of CMesh.get_surface_facets() - Domain and Mesh: - rename sfepy/fem/parseReg.py -> sfepy/fem/parse_regions.py - update create_bnf() for new region selection operators - update Domain.create_region(), region_leaf(), region_op() - construct CMesh instance in Domain.__init__() - new Domain.cmesh attribute - remove old testing code in sfepy/fem/parse_regions.py - rename nodes -> vertices, elements -> cells in region selectors - update create_bnf(), region_leaf() - update transform_regions() - replace flags with kind, allow string only, update Domain.create_regions() - new Domain.get_cell_coors() - use in 'cells by function' region selector - remove Facets-related methods from Domain - remove .setup_facets(), .get_facets(), .surface_faces() - generalize mesh_get_cell_coors() -> mesh_get_centroids() - generalize CMesh.get_cell_coors() -> .get_centroids(), Domain.get_cell_coors() -> .get_centroids() - update transform_regions() for parent field, update Domain.create_region() - set region kind and definition in Domain.create_region() - call CMesh.setup_entities() in Domain.__init__() - remove Facets and most of sfepy/fem/facets.py contents, rename & update _build_orientation_map() -> build_orientation_map() - simplify FESurface.__init__() - use prepare_remap() - update FESurface.setup_mirror_connectivity() for CMesh, create .ori_map in .__init__() - new get_facet_dof_permutations(), permute_facets(), get_dof_orientation_maps() - updated and recombined code from removed Facets - remove for loop in FESurface.setup_mirror_connectivity() - update Domain.refine(), refine_2_3(), refine_2_4(), refine_3_4(), refine_3_8() - make FESurface.fis C-contiguous - update Mesh.from_region(), ._append_region_faces() - fields: - update H1NodalMixin._setup_facet_orientations() - update H1NodalMixin._setup_facet_dofs() - update ._setup_edge_dofs(), ._setup_face_dofs() - update Field._get_facet_dofs(), .get_dofs_in_region_group() - update H1HierarchicVolumeField._setup_facet_dofs() - update ._setup_edge_dofs(), ._setup_face_dofs() - remove unused facet_oris argument of H1NodalMixin._setup_facet_dofs() - terms: - adapt data types in ConnInfo.iter_igs(), Term.get_assembling_cells() - fix Term.get_physical_qps() for point integration - update NewTerm.integrate() - miscellaneous updates: - update define_box_regions() - update eval_in_els_and_qp() - update ConstantFunctionByRegion.get_constants() - new PhysicalQPs.__init__(), update get_physical_qps() - fix edit_filename() to use prefix - allow points and edges in MeditMeshIO, VTKMeshIO - fix Viewer.save_image() for file names with path - update smooth_mesh() - examples and tests: - update all examples and tests for new region syntax - update tests/test_poly_spaces.py - update tests/test_regions.py: add more selectors, number regions - update test_install.py - new examples/navier_stokes/stokes_slip_bc.py + test - scripts: - findSurf.py: update and clean up - new _get_facets(), get_surface_faces() - improve help message - script/gen_gallery.py: - fix figure paths in generate_images() - add custom view for stokes_slip_bc.py example - new script/plot_mesh.py - basic CMesh plotting - new sfepy/postprocess/plot_cmesh.py: new plot_wireframe() - new plot_entities(), label_global_entities(), label_local_entities() - configuration: - clean up sfepy/base/conf.py - fix key in transform_regions() - docs: - update primer and tutorial - update users guide - new MultiProblem solver: allows "conjugate" solution of subproblems - merge branch 'subpb' - closes #226 - new example that uses MultiProblem solver: - new examples/acoustics/vibro_acoustic3d.py, examples/acoustics/vibro_acoustic3d_mid.py - new mesh files meshes/2d/acoustic_wg_mid.vtk, meshes/3d/acoustic_wg.vtk - new tests/test_input_vibro_acoustic3d.py - postprocessing and visualization: - update Viewer.build_mlab_pipeline() to display data in only_names order - new plot_points() - homogenization: - update CoefNN, CoefN and CoefSym ("smart" set_variables_default); new CoefExprPar - fix CoefSym and CopyData coefficients - terms: - fix SDLinearElasticTerm, new SDSufaceIntegrateTerm, remove SDSufaceNormalDotTerm - new dw_convect_v_grad_s (ConvectVGradSTerm, scalar gradient term with convective velocity) - update (adjoint) Navier-Stokes terms for 2D, update convect_build_vtg, convect_build_vtbg() for 2D - update LinearTractionTerm: material parameter is now optional (merge branch 'ltr_opt_mat' - closes #228) - clean up: remove PermeabilityRTerm - support 'qp' evaluation mode in HyperElasticBase - update .integrate(), .get_fargs(), .get_eval_shape() - miscellaneous updates: - update Mesh.localize() to remove vertices not used in any cell - update Probe.probe() to report non-finite probe points - fix ProblemDefinition.set_equations_instance() for keep_solvers=True - check topological dimension of cells in VolumeField._check_region() - update ensure_path() to raise error on failure - update HypermeshAsciiMeshIO: use component id as material id - fix tiled_mesh1d() - new dets_fast() - update Region.igs to return parent igs if parent exists - update get_dependency_graph() to include parent region in dependencies - raise proper error when dependency is missing - examples and tests: - update poisson_functions.py example to use dw_convect_v_grad_s - new examples/navier_stokes/navier_stokes2d.py + test - update tests/test_poly_spaces.py for 2_3, 3_4 geometries, new 2_3_2z.mesh, 3_4_2z.mesh - new tests/test_mesh_smoothing.py - mesh smoothing test - clean up and update tests/test_parsing.py for new regions - scripts: - new script/gen_mesh_prev.py: generates mesh previews in a given directory - script/save_basis.py: - make sure that output directory exists - enable saving all geometry element permutations - new save_basis_on_mesh() .. _2013.1-2013.2: from 2013.1 to 2013.2 ===================== - automatic testing of term calls: - merge branch 'i154' - closes #154 - define arg_shapes attributes of terms - use new get_arg_kinds() in Term.classify_args() - simplify code - new Term._check_variables() - update Term.classify_args() to support 'mode' attribute - update Term to support arg_shapes and geometries attributes - fix SurfaceLaplaceLayerTerm, SurfaceCoupleLayerTerm - fix dw_ul_volume() - fixes VolumeULTerm, BulkPressureULTerm - docs: update developer guide - describe new Term attributes - fix and update DeformationGradientTerm - rename dq_def_grad -> ev_def_grad - remove DeformationGradientTerm.__call__(), new .function(), .get_fargs(), .get_eval_shape() - update dq_def_grad() - fix dw_v_dot_grad_s_sw() (VectorDotGradScalarTerm) - new fmf_mulATC() - fix ScalarDotGradIScalarTerm - add vector mode - fix docstrings of VectorDotGradScalarTerm, TLMembraneTerm - fix SufaceNormalDotTerm - make material shape (D, 1) to be compatible with SDSufaceNormalDotTerm - fix Term.call_function() to clear C errors properly - fix SDSufaceNormalDotTerm - update Term.get() to accept integration argument - fix NSOFSurfMinDPressDiffTerm, DiffusionTerm, DiffusionCoupling, PiezoCouplingTerm - fix docstrings of SDLinearElasticTerm, StokesTerm, GradTerm, DivTerm - new tests/test_term_call_modes.py to automatically test (almost) all terms, skips terms with an empty arg_shapes attribute - new elastic contact plane term: - new flag_points_in_polygon2d() - new ContactPlane - contact plane with polygonal boundary - new sfepy/mechanics/contact_planes.py - new plot_polygon(), plot_points() - new ContactPlaneTerm (dw_contact_plane) - add custom view for elastic_contact_planes.py example to script/gen_gallery.py - terms: - rename DotTermsDotProductSurfaceTerm functions: - dw_surface_dot_vectornormscalar -> dw_surface_s_v_dot_n - dw_surface_dot_scalarnormvector -> dw_surface_v_dot_n_s - update DotProductSurfaceTerm: new 'scalar_norm_vector' mode - postproc.py: - force re-read in VTKFileSource.set_filename() - add reload button to ViewerGUI, support watching of vtk files in Viewer - new ReloadSource - closes #217 - fix default opacity in Viewer - input-output: - update VTKMeshIO.write() to mark unfinished write by 'x' in 1. byte - new HDF5MeshIO.read_bounding_box() - bases: - merge branch 'cbases' - move low-level function from bases.pyx to new lagrange.c - new sfepy/fem/extmods/lagrange.[ch] - get_barycentric_coors(), get_xi_simplex(), get_xi_tensor(), eval_lagrange_simplex(), eval_lagrange_tensor_product() ('_' prefix from name removed) translated from Cython to C - update bases.pyx, use fmf_pretend_nc(), import FMField directly - rename & update script/gen_lobatto_pyx.py -> script/gen_lobatto1d_c.py - generate lobatto1d.c and lobatto1h.c - new lobatto1d_template.c, lobatto1d_template.h - split lobatto_template.pyx into lobatto_bases.pyx and lobatto.c, low level functions in lobatto.c, as in lagrange.c - miscellaneous updates: - clean up of many modules - new fmf_pretend_nc() - fix dependencies in sfepy/terms/extmods/setup.py - this fixes rebuilding terms.so even when an unrelated file was changed - fix Struct._str() for classes with overloaded .get() (e.g. Term) - fix Domain.save_regions_as_groups() for regions without true cells - fix iterative solvers for tolerances not given in conf - fix PyAMGSolver, PETScKrylovSolver, PETScParallelKrylovSolver - remove compatibility function sorted() - remove unused attribute of CharacteristicFunction - add f_tol tolerance option to ScipyBroyden nonlinear solver - add custom norms to RadialMesh - tests and examples: - new examples/homogenization/perfusion_micro.py + test - homogenization of a double-porous medium - new 3D mesh: matrix with two disconnected channels - new examples/linear_elasticity/elastic_contact_planes.py + test - demonstrating use of contact plane term - docs: - add development tab, new doc/development.rst - link wiki from development tab - add related projects section - new sections on term evaluation modes and postprocessing/probing - move description of term evaluation modes from developer to users guide - update users guide - closes #196 - gallery: - improve gen_gallery.py - add captions, contents and section titles - move _gallery_template contents to new doc/gallery_template.html - fix script/gen_gallery.py for new time stepping - fix output suffix for time-dependent problems in generate_images() - update docstring of gen_gallery.py - describe docs regeneration steps .. _2012.4-2013.1: from 2012.4 to 2013.1 ===================== - solvers: - move time stepping solvers to new sfepy/solvers/ts_solvers.py - redesign time stepping, unify use of stationary and evolutionary solvers: - new StationarySolver - update PDESolverApp.call() - update TimeSteppingSolver - change __init__(), __call__() arguments, remove .set_step_fun() - remove solve_stationary(), solve_evolutionary() - move prepare_matrix(), prepare_save_data(), make_implicit_step(), make_explicit_step() into sfepy/solvers/ts_solvers.py - new get_initial_state() - update SimpleTimeSteppingSolver.__call__() to implement fully the time stepping loop, new .solve_step() - update ExplicitTimeSteppingSolver, new .solve_step - new AdaptiveTimeSteppingSolver - implicit adaptive time stepping solver: - new get_min_dt(), adapt_time_step() - new VariableTimeStepper.from_conf(), .set_from_ts(), .set_n_digit_from_min_dt() - update VariableTimeStepper.set_step() to allow only step = 0 - update VariableTimeStepper.__iter__() to include t1 - input-output: - fix ANSYSCDBMeshIO.read(), guess it with .inp suffix: - new .guess() - for mixed element meshes and coordinates without "solid" keyword - allow quadratic elements in ANSYSCDBMeshIO.read(), strip extra nodes: - allow more format variants - add remap argument to mesh_from_groups() - add .dat suffix - update ANSYSCDBMeshIO.read() to support nodes of boundary conditions - support node sets (nodes of boundary conditions) in HDF5MeshIO.read(), .write() - fix omitting nodes of boundary conditions in Mesh.write() - add nodal_bcs argument to Mesh.from_data() - update HDF5MeshIO.read() for old meshes without node_sets group - mesh, domain, regions: - support mat_ids in merge_mesh() - new Mesh.__add__() to merge meshes - add verbose argument to gen_block_mesh(), gen_cylinder_mesh() - new gen_extended_block_mesh() mesh generator - fix smooth_mesh() - improve efficiency - support nodes and elements of set in create_bnf() - update region_leaf() and test for "nodes of set" selector: - prepare for "elements of set" selector - nodes of group support only int id - move bodies of functions for saving regions from ProblemDefinition to Domain: - new Domain.save_regions(), .save_regions_as_groups() - update ProblemDefinition.save_regions(), .save_regions_as_groups() - new Region.delete_zero_faces(), used in .complete_description() - use Region.get_cells() instead of direct access to cells - true cells are checked in Region.get_cells() if needed - true_cells attribute is properly initialized in Region.complete_description() - allow dot in set names in create_bnf() - allow dot in region names - fix Region.get_edge_graph() for degenerate edges - fields, variables: - update setting of variables data (use Variable.set_data()) - rename/update Variables.non_state_data_from_state() -> .set_data_from_state() - rename/update Variable.data_from_any() -> .set_data() - rename FieldVariable.data_from_qp() -> .set_data_from_qp() - new Variable.is_finite() - new terms: - dw_tl_bulk_active (active bulk pressure term) - miscellaneous updates: - make view button to print view and roll as arguments of postproc.py - set ts directly in ProblemDefinition.update_time_stepper() - add verbose argument to MyBar progress bar - allow to run python shell from debugger - more grammar elements available in parse_conf.py - radial mesh - fixes, integrals and derivatives - new get_face_areas() + test - new global option 'check_term_finiteness' - check finiteness in Term.evaluate() - fix compute_nodal_normals() for degenerate elements, check for zero normals - new configure_output() - remove many unused functions, code clean up - scripts: - script/save_basis.py: plot nodes of selected dofs, new plot_nodes() - script/convert_mesh.py: new --center option - examples and tests: - update linear_elastic_damping.py example to use adaptive time stepping - new tests/test_mesh_generators.py - test basic mesh generators - docs: - add support section to main page .. _2012.3-2012.4: from 2012.3 to 2012.4 ===================== - initial implementation of elements with hierarchical basis: - merge hierarchic branch - fields and approximations: - split fields.py into fields_base.py, fields_nodal.py - new VolumeField, H1NodalMixin - new H1NodalVolumeField, H1DiscontinuousField, H1NodalSurfaceField - prepend underscore to non-API methods - new H1HierarchicVolumeField (fields_hierarchic.py) - move ._setup_esurface(), .create_mesh() into Field - new Field.from_args() - move setting DOFs from a function to a field method - new H1NodalMixin.set_dofs(), update EquationMap.map_equations() - add merge argument to Field.get_dofs_in_region_group() - new H1HierarchicVolumeField.set_dofs() - hack for constant values - define edge orientation (ap.ori) in H1HierarchicVolumeField - new code for face orientations - update H1HierarchicVolumeField._setup_facet_dofs() - new LobattoTensorProductPolySpace._get_counts(), ._get_face_axes_nodes() - update LobattoTensorProductPolySpace.__init__(), _define_nodes(), ._eval_base() - update Approximation for facet orientation, add ori attribute - new Approximation.clear_qp_base() - add iels argument to Approximation.get_base() - new Approximation.get_poly_space(), update .get_base() - bases and mappings: - update CVolumeMapping.describe() for basis per element - update VolumeMapping.get_mapping() for facet orientation argument - update PolySpace.eval_base() for facet orientation argument - support edge orientation in LobattoTensorProductPolySpace._eval_base() - add node_orders attribute to LobattoTensorProductPolySpace - add force_axis argument to PolySpace.eval_base() - use force_axis argument to fix Lagrange basis computations - fix gradient mode in eval_lobatto_tensor_product() - ensure c-contiguity in PolySpace.eval_base() - update PolySpace.any_from_args() for no simplex Lobatto class - raise error for surface mapping with hierarchical basis - facets and geometry elements: - new Facets.get_orientation() - fix axes orientation of 6th face of 3_8 - new GeometryElement.get_grid() - new _get_grid_1_2(), _get_grid_2_3(), _get_grid_2_4(), _get_grid_3_4(), _get_grid_3_8() - linearization of higher order fields: - update linearizer.py for hierarchic basis - remove bf argument of DOF evaluation functions (use ps instead) - update get_eval_dofs() - add ps (poly. space) and ori (facet orientation) arguments - update create_output() - update Field.linearize(), eval_dofs() for updated linearizer.py - create linearized output for an expression - new create_expression_output() - new get_eval_expression(), eval_in_els_and_qp() - scripts: - update script/plot_condition_numbers.py - update script/save_basis.py for meshes (global basis) - new --lin-options, --dofs, --permutations, --plot-dofs options - support gradients in mesh mode - require output directory, print help by default - examples and tests: - new tests/test_normals.py - check surface normal orientations - new tests/test_poly_spaces.py - check hierarchic and nodal basis continuity - add two-element meshes - update examples/diffusion/sinbc.py to use hierarchical basis - miscellaneous updates: - new prepare_translate() - new GeometryElement.get_conn_permutations() - new make_h1_projection_data() - generalize sym2dim() - new sfepy/postprocess/plot_dofs.py - new _get_axes(), plot_mesh(), plot_global_dofs(), plot_local_dofs() - update filename attribute in UserMeshIO.read() - unify C/Cython structures for volume and surface mappings: - merge surfvol branch - rename geometry.[ch] -> refmaps.[ch] - merge VolumeGeometry and SurfaceGeometry into Mapping - merge CVolumeMapping and CSurfaceMapping into CMapping - update sfepy/fem/extmods/setup.py - update map_print(), small fixes in map_describe(), map_integrate() - update terms for Mapping - update VolumeMapping, SurfaceMapping for CMapping - miscellaneous updates for CMapping - remove eval_real_extra(), dq_grad_extra() - remove dw_surface_dot_vector(), dw_surface_dot_scalar() - update dw_volume_dot_vector(), dw_volume_dot_scalar(), DotProductVolumeTerm - update docstring of DotProductSurfaceTerm - remove remaining references to CMapping.area - new CauchyStrainSTerm (ev_cauchy_strain_s) - problem descriptions: - replace getattr() calls with ProblemConf.get_function() - fix for functions defined inside define() and not on the problem description module level - add allow_tuple, free_word arguments to create_bnf() - allow deferred setup of ProblemConf - add setup argument to .__init__() - update ProblemDefinition.setup_default_output() for missing options - data probing: - new Probe.set_n_point(), update .__init__() - allow extrapolation in probes - new Probe.set_options() - set close limit, update .__init__(), .probe() - probe.py: new --close-limit option, update generate_probes(), clean up - update generate_probes() to support multiple figures per probe hook - add size_hint to Probe.set_options(), fix refinement for multiple calls - new Probe.reset_refinement() - called in .probe() - new write_results(), read_results(), update generate_probes(), postprocess() - move read_header(), get_data_name() to sfepy/fem/probes.py, update - new dict_from_options(), update ProblemConf.from_file_and_options() - make dict_from_string a standalone function - generalize override in ProblemConf.__init__() - update generate_probes() to support -1 as last step - base: - new edit_tuple_strings(), add recur argument to edit_dict_strings() - update edit_dict_strings() for lists of replacements and tuple values - update assert_() for custom messages - add overwrite_by_none argument to update_dict_recursively() - remove sfepy/base/tasks.py - new edit_filename() utility function - new Struct._str(), .str_class(), update .__str__() - simplify dict-like methods of Struct - replace Struct.get_default_attr() with updated Struct.get() - rename .set_default_attr() -> set_default() - logging: - split sfepy/base/log.py - new sfepy/base/log_plotter.py, clean up - rename ProcessPlotter -> LogPlotter - implement reading and plotting of Log text output - new read_log(), plot_log() - add log_name argument to get_logging_conf(), update docstring - materials: - update Materials, Material for optional clearing of material data - improve updating of material parameters - update Materials.time_update() - force and clear arguments replaced by mode argument - update Material.__init__(), .update_special_data(), .update_special_constant_data(), .time_update() - phononic materials: - new get_log_freqs(), update detect_band_gaps() - new get_ranges(), update cut_freq_range(), BandGaps.__call__() - opts.eig_range is a slice now - update transform_plot_data() to work with nan values - linear combination boundary conditions: - rename _save_normals() -> _save_vectors(), update - new Region.get_edge_graph() - new get_edge_paths(), _get_edge_path() - new compute_nodal_edge_dirs() - new NormalDirectionOperator.get_vectors(), update .__init__() - new EdgeDirectionOperator, new 'edge_direction' LCBC - update LCBCOperators.add_from_bc() - fix and simplify LCBCOperator.treat_pbcs() - LCBCs combined with EPBCs in common nodes work correctly now, in particular for non-penetration conditions with general normals - scripts: - remove obsolete scripts: - mesh_to_vtk.py, hfm3_mesh.py, convert.py, edit_neu.py, make_spkg.py, spymatrix.py - new script/sync_module_docs.py - script/save_basis.py: fix --plot-dofs for no --permutations, update help - update script/gen_gallery.py for custom visualizations - script/plot_condition_numbers.py: report number of quadrature points - simple.py: - clean up, add docstring - new --save-ebc-nodes option, change meaning of --save-ebc - update solve_pde(), save_only(), PDESolverApp.call() - update generate_images(), test_hyperelastic_tlul.py, tests_basic.py - postproc.py: - group options, clean up, use docstring for help - allow negative time steps in Viewer.call_mlab() - Python-like indexing from the last step - check that step is in the range available - update step help message - solvers: - fix arguments in TimeStepper.from_conf() - fix ScipyFMinSolver.__call__() for old scipy (0.7.2) - add divergence tolerance option to PETSc solvers - miscellaneous updates: - fix examples in script/config.py - new sfepy/postprocess/plot_facets.py - new plot_geometry(), plot_edges(), plot_faces(), draw_arrow() - new get_perpendiculars() - move .setup_coors() to Field, fix vertex indices - new Region.get_vertices_of_cells(), update .update_vertices() - fix VolumeField._setup_vertex_dofs() for superfluous vertices - fix VolumeField.average_qp_to_vertices() for superfluous vertices - new RadialVector, ExplicitRadialMesh, update RadialHyperbolicMesh, RadialMesh - new H1NodalSurfaceField.interp_v_vals_to_n_vals() - initial stub - fix ProblemDefinition.save_ebc() for EBCs needing ProblemDefinition instance - report (initial) data ranges in Viewer.build_mlab_pipeline() - allow context variables in ProblemDefinition.evaluate() - add strip_variables argument to .evaluate(), .create_evaluable() - rename State.get_scaled_norm() -> get_weighted_norm() - fix weighting by state parts, add weights, return_weights arguments - fix EquationMap._init_empty() to initialize n_epbc - clean up sfepy/fem/dof_info.py - fix gen_mesh_from_voxels() - remove unused function: reorder_dofs_on_mirror - fix integration over mirror surface - treat separately real and imaginary fill value parts in Field.extend_dofs() - new get_min_value() - fill value is 0 for vectors, minimum for scalars - fix dw_jump term, use the (optional) material parameter as a multiplier - examples and tests: - update docstrings in examples/diffusion/poisson_functions.py - report number of failed tests in test_install.py - new example with field-dependent diffusion coefficient + test (examples/diffusion/poisson_field_dependent_material.py) - new diffusion example with periodic boundary conditions + test (examples/diffusion/poisson_periodic_boundary_condition.py) - new tests for field dependent and periodic diffusion examples - new acoustic 3d example (examples/acoustics/acoustics3d.py) + test - remove examples/diffusion/subdomains.py + test - docs: - include scripts in developer guide - sync module index of developer guide with current sources .. _2012.2-2012.3: from 2012.2 to 2012.3 ===================== - terms: - fix BulkPressureULTerm and CompressibilityULTerm - move TLMembraneTerm.describe_membrane_geometry() into new describe_geometry() - fix TLMembraneTerm.eval_function() for updated transform_data() - new FibresActiveTLTerm.get_eval_shape() - update VolumeTLTerm.get_fargs() for 'el_avg' mode - fix term evaluation to clear properly the C error flag - new Term.call_get_fargs(), .call_function() - update Term.eval_real(), .eval_complex(), .evaluate() - new SurfaceNormalDotTerm (dw_surface_ndot) - new ScalarDotGradIScalarTerm (dw_s_dot_grad_i_s) - update DotProductSurfaceTerm: allow (vector * normal * scalar) product - new shape sensitivity terms: SDLinearElasticTerm (d_sd_lin_elastic), SDSufaceNormalDotTerm (d_sd_surface_ndot) - support 'el' mode in term evaluation: - update SurfaceFluxTerm for 'el' mode, update docstring - fix checking of term - integral compatibility - merge pull request #186 from vlukes/meshtiler: - new tiled_mesh() function - move mesh generating functions to sfepy/mesh/mesh_generators.py - update genPerMesh.py - update scripts cylindergen.py and blockgen.py - visualization: - postproc.py: allow finer control of opacity (closes Issue 194) - fix _get_scalars() for vectors - base: - move try_imports() into sfepy.base.base, fix error printing, add docstring - update invert_dict() - add unique argument, add docstring - fix find_subclasses() for no name attribute case - add name_attr argument to find_subclasses(), load_classes() - update Output to accept a file descriptor instead of a file name - update Output for global options, new test_verbose_output() - support global options (closes Issue 190) - new sfepy/base/goptions.py: - new ValidatedDict class, goptions instance - default_goptions with 'verbose' option - homogenization: - fix 'return_all' option in HomogenizationApp - fix CoefSymSym - fem: - new get_ref_coors(), update Field.evaluate_at() - new make_l2_projection_data(), update make_l2_projection() - support 'space' and 'poly_space_base' items in transform_fields() - fix Region.delete_groups() - update also all_vertices etc. - remove unused qp_indx field in PhysicalQPs - fix stiffness_from_lame_mixed() - material parameters can be defined per region using region names: - update linear homogenization examples using new material definition - fix Material.__init__() for special and keyword values - new SplineBox geometry parametrization - update extend_cell_data() for surface regions - allow different base function values per element: - add base function attribute (bf) to VolumeGeometry, SurfaceGeometry - make bf of CVolumeMapping, CSurfaceMapping point to the above bf - add flag argument to {CVolumeMapping, CSurfaceMapping}.__cinit__() - update Approximation.describe_geometry() - new FMF_SetCellX1() macro - update terms for base functions per element - define integrals by order instead of quadrature name: - update transform_integrals(), Integrals.from_conf(), Integral.__init__() - update tests and examples for new integral definition - input-output: - boundary condition id in Nastran format is used as the node group - update MeditMeshIO.read() to skip unsupported entities - solvers: - update imports in PysparseEigenvalueSolver.__call__() for new Pysparse - update ScipyIterative solver to allow preconditioning - check solver consistency in ProblemDefinition.set_solvers_instances() - fix preconditioner arguments for qmr method in ScipyIterative - update ScipyIterative solver for iteration callback - new standard_call() decorator for linear solvers, checks also data shapes - update docstring of Newton (configuration options, small fixes) - update docstring of Solver (common solver configuration options) - misc: - fix unique_rows() for non-contiguous arrays, add arguments of numpy.unique() - examples and tests: - update ULF hyperelastic examples, change error tolerance, number of iterations - update hyperelastic tests: test |TL - UL| and |UL - UL_mixed| - docs: - update for new integral definition - include special methods of nonlinear solvers - update User's Guide (Problem description file/Materials) - add notes on solving PDEs by FEM in the tutorial part of the documentation .. _2012.1-2012.2: from 2012.1 to 2012.2 ===================== - reimplement acoustic band gaps code using the homogenization engine: - merge band_gaps_he branch - rename eigen.py -> phonon.py - move AcousticBandGapsApp to new sfepy/homogenization/band_gaps_app.py - fix coding style in sfepy/homogenization/band_gaps_app.py - replace compute_density_volume_info() by DensityVolumeInfo - new MiniAppBase.process_options() - preserve order of requirements in HomogenizationEngine.call() - new SimpleEVP mini-application: - reimplement part of AcousticBandGapsApp.solve_eigen_problem() for 'simple' problems - rename sfepy/homogenization/phono.py -> .../coefs_phononic.py - new Eigenmomenta mini-application: - update compute_eigenmomenta() - remove prepare_eigenmomenta() - new CoefDummy - update AcousticBandGapsApp.process_options(), .process_options_pv() - options moved to corrector/coefficient classes - update AcousticBandGapsApp.call() - compute ingredients for band gap detection via HomogenizationEngine - update frequency-dependent tensors: - update AcousticMassTensor, AcousticMassLiquidTensor, AppliedLoadTensor - update Eigenmomenta - update band gaps functions, new BandGaps mini-application: - update cut_freq_range(), split_chunks(), detect_band_gaps(), get_callback(), find_zero(), describe_gaps() - remove setup_band_gaps() - update try_set_defaults() for one-level recurrence - move plotting functions: coefs_phononic.py -> band_gaps_app.py - split SimpleEVP.__call__(): - new SimpleEVP.prepare_matrices(), .post_process() - new SchurEVP mini-application - remove obsolete code in AcousticBandGapsApp: - remove make_save_hook() - remove AcousticBandGapsApp.fix_eig_range(), .solve_eigen_problem(), .eval_homogenized_coefs() - update BandGaps for custom detection function and rhs matrix - set incident wave dir. in AcousticBandGapsApp.call() - new dispersion mini-applications: - new ChristoffelAcousticTensor, PolarizationAngles, PhaseVelocity mini-applications - new compute_cat_sym_sym(), compute_cat_dim_sym(), compute_cat_dim_dim(), - remove compute_cat(), compute_polarization_angles() - new AcousticBandGapsApp.plot_dispersion() - remove AcousticBandGapsApp.compute_cat(), .compute_phase_velocity() - remove report_iw_cat() - new HomogenizationEngine option 'compute_only': - unify handling of dependencies (requirements and coefficients) - remove _get_parents() - fix de-duplication of names in HomogenizationEngine.call() - inherit AcousticBandGapsApp from HomogenizationApp (common options) - update Coefficients._save_dict(): - support custom 'to_file_txt' callable attribute of coefficients - ignore unknown types - update saving of figures in AcousticBandGapsApp - allow saving band gaps logs: - new BandGaps.to_file_txt(), .save_log() - new application option 'log_save_name' - improve default plot resources - remove broken caching from AcousticBandGapsApp - update phononic examples for AcousticBandGapsApp: - new examples/phononic/band_gaps_conf.py - update examples/phononic/band_gaps.py, examples/phononic/band_gaps_rigid.py - remove coef_conf_elastic.py, gen_mesh.py, parametric.py, plot_gaps.py - update test_install.py - homogenization: - new homogenization corrector function OnesDim - unit vector in the directions - proper coding style in coefs_base.py - update float formatting capabilities of Coefficients.to_file_latex() - allow passing custom application options to HomogenizationEngine - new get_volume_from_options(), update HomogenizationApp.call() - allow to add some additional information to coefficients files - quadratures: - update table of 1_2 quadrature points - fix and update module docstring - update QuadraturePoints.__init__() - add symmetric argument - up to polynomial order 47 - increase tolerance in test_quadratures() - create missing tensor product quadratures using 1_2 (line) quadratures: - order for tensor product geometries is given in terms of the 1D order - new QuadraturePoints.from_table(), _get_max_orders() - update QuadraturePoints.__init__() - update Integral.get_qp(), .integrate() - move & update Integral.get_actual_order() -> get_actual_order() - fix order in create_mass_matrix(), make_l2_projection() - test generated tensor product quadratures - cite PHAML in module docstring - update table of 2_3 quadrature points - fix polynomial order in get_poly() - report differences in test_weight_consistency(), test_quadratures() - create missing simplex (2_3, 3_4) quadratures - update QuadraturePoints.from_table() - new sfepy/fem/simplex_cubature.py - update test_quadratures() - solvers: - rewrite stabilization material handling - create_stabil_mat() -> StabilizationFunction - stabilization material uses now a "regular" material function - update Oseen solver for new stabilization material handling - fix eig() to obey options from keyword arguments - change num -> n_eigs - fix PysparseEigenvalueSolver.__call__() for no r.h.s. matrix - set default n_eigs, clean up - new SimpleTimeSteppingSolver.process_conf() - new TimeSteppingSolver.set_step_fun() - new ExplicitTimeSteppingSolver - new MassOperator - applications: - rename simple_app.py -> pde_solver_app.py - rename SimpleApp -> PDESolverApp - rename pde_solve() -> solve_pde(), add docstring - move it into sfepy/applications/pde_solver_app.py - remove sfepy/applications/top_level.py - clean up sfepy/applications/application.py - merge sfepy/solvers/generic.py with sfepy/applications/pde_solver_app.py - remove sfepy/solvers/generic.py - update solve_pde(), PDESolverApp.call() - rename solve_stationary_op() -> solve_stationary(), time_step_function() -> make_implicit_step(), solve_evolutionary_op() -> solve_evolutionary() - update PDESolverApp.call() for basic explicit time stepping - new make_explicit_step() - input-output: - update Mesh._set_shape_info() - add element group dimensions - update MeshIO classes to read elements of lower dimension - update VTKMeshIO, ComsolMeshIO, AVSUCDMeshIO, HypermeshAsciiMeshIO, AbaqusMeshIO, NEUMeshIO, ANSYSCDBMeshIO - merge mesh_from_tetra_hexa(), mesh_from_tri_quad() -> mesh_from_groups() - change default value of omit_facets to False (Mesh.from_file() etc.) - update HDF5MeshIO.read_times() to return also time steps - update extract_times(), dump_to_vtk(), extractor.py for missing time steps - extraction now works with files where not all the time steps are saved - update VTKMeshIO.read() for pixels and voxels - domain: - update Domain: store group dimension - update Domain.fix_element_orientation() to skip facet groups - update Facets for empty facet groups - update Region.get_n_cells() for facet groups - scripts: - new script/plot_condition_numbers.py - update script/gen_lobatto_pyx.py to generate also derivatives - fix gen_lobatto() in script/gen_lobatto_pyx.py - new script/save_basis.py - clean up script/blockgen.py, new --2d option - clean up script/convert_mesh.py, new --refine option - visualization: - use new _get_scalars() in domain specific plot functions - new plot_warp_scalar() domain specific plot function - linearizer: update create_output() for custom evaluation functions - new get_eval_dofs(), get_eval_coors() - add coordinates argument to DOFs evaluation function in get_eval_dofs() - update create_output() - new LobattoTensorProductPolySpace - initial implementation of hierarchic basis - unify dot product and mass terms: - dw_mass, dw_mass_scalar, dw_surf_mass_scalar, dw_volume_wdot_scalar -> dw_volume_dot_vector, dw_surface_dot_vector, dw_volume_dot_scalar, dw_surface_dot_scalar - remove sfepy/terms/termsMass.py, sfepy/terms/extmods/termsMass.[ch] - remove MassVectorTerm, MassScalarTerm, MassScalarSurfaceTerm, - new sfepy/terms/terms_dot.py, sfepy/terms/extmods/terms_dot.[ch] - update examples - terms: - update AdjDivGradTerm, AdjConvect1Term, AdjConvect2Term for new term evaluation - update objective function terms for new term evaluation - update SUPGCAdjStabilizationTerm (fix name from AdjSUPGCtabilizationTerm) - update SUPGPAdj1StabilizationTerm, SUPGPAdj2StabilizationTerm - update adjoint Navier-Stokes stabilization terms for new term evaluation - merge NSOFMinGrad1Term, NSOFMinGrad2Term -> NSOFMinGradTerm - update NSOFSurfMinDPressTerm, NSOFSurfMinDPressDiffTerm - update Navier-Stokes shape derivative terms for new term evaluation - update SDDivTerm, SDDivGradTerm, SDConvectTerm - update SDDotScalarTerm for new term evaluation (was TestPQTerm) - update stabilized Navier-Stokes shape derivative terms for new term evaluation - update SDGradDivStabilizationTerm, SDSUPGCStabilizationTerm, SDPSPGCStabilizationTerm, SDPSPGPStabilizationTerm - fix their docstrings - make material argument of DivGradTerm optional, implement evaluation mode - update PermeabilityRTerm for new term evaluation - update SDDotVolumeTerm to support also vectors (was SDDotScalarTerm) - new VectorDotGradScalarTerm (dw_v_dot_grad_s) - update DotProductVolumeTerm for matrix coefficient - add optional material argument to NonPenetrationTerm - fix term_mode in d_sd_... terms - set default value to 1 - examples: - update examples/navier_stokes/stabilized_navier_stokes.py - new examples/diffusion/time_poisson_explicit.py - shaper.py: - fix --direct, --adjoint options - update solve_stokes(), solve_navier_stokes(), solve_generic_direct(), solve_direct(), solve_adjoint() for State - fix main() - update and clean up - update vec -> state in shape optimization functions and ShapeOptimFlowCase - update ShapeOptimFlowCase: handling of materials, term evaluation mode - update update_mesh(), solve_problem_for_design() for current code - misc: - fix Equations.invalidate_term_caches() to invalidate all variables - further speed-up assemble.pyx by using pointer to iels, change int -> int32 - major speed-up of some key functions - profiling using line_profiler -> use numpy.take() instead of fancy indexing - update Approximation.get_connectivity(), .describe_geometry() Field.setup_vertex_dofs(), .setup_coors(), Mapping.__init__(), create_adof_conn() - fix vg_getElementDiameters() - fix bf_actt_c1() - fix print_matrix_diff() for scipy with removed rowcol() - change default value of follow_epbc to False - update Equations.strip_state_vector(), State.get_reduced(), Variables.strip_state_vector(), FieldVariable.get_reduced() - new get_subdict() - new match_coors() - fix region comparison in Field.get_mapping() - fix package_check() for bogus versions - update Field.linearize() - new eval_lobatto_tensor_product() - make vertex_maps common, fix LagrangeTensorProductPolySpace._define_nodes() - update ProblemDefinition.get_integrals() - add names, kind arguments - remove unused MultiplierVariable, ConstantVariable - docs: - add archlinux installation requirements - fix numpy docstring standard links - add coding style section to developer guide - refer to web pages using new doc/links.inc - add NTC logo to main page - update developer guide to reflect the above updates .. _2011.4-2012.1: from 2011.4 to 2012.1 ===================== - initial version of linearizer of higher order solutions: - merge linearizer branch - new Field.linearize() - clean up SimpleApp.process_options() - update output creation functions/methods - fix Field.get_true_order() for forced bubble DOFs - new Field.is_higher_order() - new application option 'linearization' - new FieldVariable.linearize() - silence Domain.setup_facets() - HDF5: - do not linearize when saving to 'h5' format - update HDF5MeshIO.write() to save field name in 'full' mode - update HDF5MeshIO.read_data() - allow 'strip' mode for 'h5' in ProblemDefinition.setup_output() - fix HDF5MeshIO.read_time_stepper() to close file on exception - move output creation to Field, new Field.create_output() - remove FieldVariable.extend_dofs(), .remove_extra_dofs(), .linearize() - update recover_bones(), recover_paraflow() - extractor.py: new --linearization option - support linearization when dumping to VTK - new create_problem(), parse_linearization() - catch ValueError in dump_to_vtk() - new Struct.update() - add linearization options to examples/navier_stokes/navier_stokes.py, examples/diffusion/sinbc.py - new tests/test_linearization.py - docs: update developer guide, new linearizer.rst - solvers: - new PETScParallelKrylovSolver solver class, petsc_worker.py - add precond_side option to PETSc Krylov solvers - prevent unwanted importing of PETSc - allow changing properties of solvers via command line - fix PETSc Krylov solvers to obey nonzero initial guess - fix Newton, Oseen to pass current solution as initial guess to linear solver - add verbose option to Solver (base of all solvers) - use verbose option in Newton solver - new SchurGeneralized solver, update SchurComplement - new ScipyFMinSolver optimization solver - fix ScipyBroyden for non-array return value - postprocessing and visualization: - allow reusing viewer scene in make_animation() - build mlab.pipeline after scene is activated - reason: some VTK objects or properties require a scene with a camera and interaction to be open to work properly - new plot_velocity() domain specific plot function - force source update in Viewer.render_scene() - always use Viewer source change hack - fix error reporting in Viewer.call_mlab() - catch only ImportError in mayavi imports - fix Viewer.build_mlab_pipeline() for no point scalars - postproc.py: new --fgcolor, --bgcolor options - fix default colors in Viewer.call_mlab() - fix mayavi imports in postprocess.utils - homogenization: - new CopyData corrector - remove unused homog. coefficient functions - fix HomogenizationApp.call() - input-output: - support tensors in vertices in VTKMeshIO.write() - fix supported_capabilities (nastran supports write()) - update read_array() for unknown number of columns - fix NEUMeshIO.read() - problem with boundary conditions - new MeshIO.for_format(), update MeshIO.any_from_filename() - update script/convert_mesh.py - move output_writable_meshes() to sfepy/fem/meshio.py - blockgen.py, cylindergen.py: new --format option - problem description: - allow extra arguments to define() in ProblemConf.from_file() - simple.py: new --define option - schroedinger: - remove specialized DFT code (move to a separate project) - move code to new sfepy/physics/schroedinger_app.py - add result names arguments to SchroedingerApp.save_results() - tests and examples: - update its2D_1.py example - use refine_mesh() - update Primer examples to use dw_point_load term - new examples/linear_elasticity/linear_viscoelastic.py + test - new examples/thermo_elasticity/thermo_elasticity.py + test - update examples/linear_elasticity/linear_viscoelastic.py - save in HDF5 format - new post_process() - compute strain, stresses - update linear_tension() - new main() - plot time histories - new examples/linear_elasticity/prestress_fibres.py + test - material coefficients: - fix bulk_modulus_lame() - clean up sfepy/mechanics/matcoefs.py, add/update docstrings - improve testing of material parameter conversion functions - rename test_tensors() -> test_elastic_constants() - new test_conversion_functions(), test_stiffness_tensors() - use better names for material parameter conversion functions - youngpoisson_to_lame() -> lame_from_youngpoisson() - stiffness_tensor_*() -> stiffness_from_*() - bulk_modulus_lame() -> bulk_from_lame() - bulk_modulus_youngpoisson() -> bulk_from_youngpoisson() - variable evaluation: - new find_ref_coors(), evaluate_in_rc() instead of evaluate_at() - update Field.evaluate_at() to use find_ref_coors(), evaluate_in_rc() - allow caching reference coordinates, add ret_ref_coors argument - change cache attribute ctree -> kdtree - print more detailed timings - update FieldVariable.evaluate_at() - term evaluation: - fix Term.evaluate() to pass diff_var argument to .eval_*() - add step, time_derivative arguments to Term.get() - support preserving evaluate caches in State and Variable - fix ProblemDefinition.solve() to preserve evaluate caches - rewrite variable and evaluate cache history handling - Variable.data attribute is now a deque with length given by history - history is given by integer >= 0, not string - evaluate cache is split by time steps (evaluate_cache(mode) -> step_cache(step) -> cache(key)) - update examples for new history syntax - remove sfepy/terms/cache.py, sfepy/terms/cachesHistory.py - remove code related to term caches - allow preserving evaluate caches in ProblemDefinition.evaluate() - terms: - optional material parameter in LaplaceTerm - fix LaplaceTerm for test_msm_symbolic.py - fix arguments of dw_permeability_r() - new PointTermBase, update LinearPointSpringTerm - new concentrated point load term (dw_point_load) - fix acoustic terms - fix BulkPressureULTerm, DotProductVolumeTerm - new term assembling function mulATB_integrate() - update DiffusionCoupling term - simplify assembling - remove d_volume_dot term (subset of dw_volume_dot, same class name) - update DotProductVolumeTerm (dw_volume_dot) - fix TLMembraneTerm.describe_membrane_geometry() - fix parents of LinearElasticIsotropicTerm - update HyperElasticBase.get_family_data() for new evaluate cache handling - new THTerm, ETHTerm classes, support custom advance in Variable.advance() - update LinearElasticTHTerm, LinearElasticETHTerm for new term evaluation - fix and clean up compute_mean_decay() - update BiotTHTerm, BiotETHTerm for new term evaluation - update DotSProductVolumeOperatorWTHTerm, DotSProductVolumeOperatorWETHTerm for new term evaluation - update dw_volume_wdot_scalar() - update BiotStressTerm, BiotStressQTerm for new term evaluation - fix ConcentratedPointLoadTerm.check_shapes() for functions, update docstring - unify Cauchy strain, stress evaluation terms - dq_cauchy_strain, de_cauchy_strain -> ev_cauchy_strain - dq_cauchy_stress, de_cauchy_stress -> ev_cauchy_stress - unify Biot stress evaluation terms - de_biot_stress, dq_biot_stress -> ev_biot_stress - simplify Cauchy and Biot stress term evaluation in qp mode - unify diffusion velocity evaluation terms - de_diffusion_velocity, di_diffusion_integrate -> ev_diffusion_velocity - unify gradient and divergence evaluation terms - de_grad, dq_grad -> ev_grad - de_div, dq_div -> ev_div - rename di_surface_integrate -> ev_surface_integrate, update docstring - rename di_volume_integrate -> ev_volume_integrate, allow optional material - rename di_integrate_mat -> ev_integrate_mat, allow 'qp' mode - update CauchyStressTerm.function() for optional coefficient - new fading memory stress terms (ev_cauchy_stress_th, ev_cauchy_stress_eth) - simplify code of DiffusionVelocityTerm.function() - fix dw_volume_dot evaluation - update LinearPrestressTerm, LinearStrainFiberTerm for new term evaluation - remove obsolete sfepy/terms/terms_base.py, update docs - logging: - update Log.plot_vlines() to add line also to text log file - move plotting-related imports in log.py into ProcessPlotter and Log - update Log.__init__(), .plot_vlines() to allow better plot reconstruction - interactive: - move code from __init__.py to session.py in sfepy/interactive/ - update isfepy for ipython 0.12 (adapted code from current isympy) - update isfepy docstring - setup: - install scripts, examples and tests along sources, do not install docs - update setup.py - misc: - new refine_mesh() - add conn attribute to GeometryElement - fix evaluate_at() for piecewise-constant approximations - speed-up assemble.pyx by using more pointer arithmetics - fix complex term evaluation - fix testing for string instances for Python 3 - fix implicit function declaration warnings in generated terms.c - update test_install.py for updated its2D_3.py example - fix LagrangeNodes.append_tp_faces() - fix problem with connectivity in mirror surface - allow user defined base function in variable evaluation - add 2d von Mises stress calculation - update get_debug() for ipython 0.12 - new get_mapping_data(), update get_jacobian(), new get_normals() - new mesh smoothing function smooth_mesh() - update Probe for ctree -> kdtree - update create_evaluable() to obey verbose argument in weak mode - add verbose argument to Variables.time_update(), Equations.time_update() - update ProblemDefinition.copy() to setup output of new problem - fix create_evaluable() to pass time stepper to terms - update Variable.init_data() to use .data_from_any() - remove unused evaluate() - cleanup in sfepy/geom, mesh and geometry tools moved to sfepy/mesh/ - update term evaluation to use var_dict also with try_equations - update ProblemDefinition.create_evaluable() - fix section titles in docstrings - update formatting of term docstrings to remove sphinx warnings - many small docstring fixes to remove sphinx warnings - docs: - update script/gen_gallery.py: - omit __init__.py files, unify link names - skip missing images - update many docstrings (especially all docstrings of terms to remove sphinx warnings) - update nodal stress description in Primer, mention refinement - update ubuntu installation section - update Primer for dw_point_load term - update for missing/removed/renamed modules - update users guide for new postproc.py options - cleanup whitespace, add table of contents to users guide - add basic info about solvers to users guide - fix and update Primer - update gitwash, include it to developer guide table of contents - update variables section in users guide - move release notes to doc/, add sphinx section labels - add news and archived news - update main html page, add links - add google analytics support - update release tasks - update developer guide for ev_* terms - remove termsLinElasticity_full.rst from developer guide - process_terms(): insert term call signature before arguments lists .. _2011.3-2011.4: from 2011.3 to 2011.4 ===================== - use cython instead of swig - merge cython branch: - wrap vxc() and vectorize it - new get_vxc(): - update SchroedingerApp.iterate() to use get_vxc() - remove sfepy/physics/extmods/dft.i, update setup.py, __init__.py - new sfepy/fem/extmods/assemble.pyx: - new assemble_vector(), assemble_vector_complex() - new assemble_matrix(), assemble_matrix_complex() - use new assembling functions in Term.assemble_to() - remove old C assembling functions - update insert_sparse_to_csr() for assemble.pyx - remove unused functions in fem.c: - remove lagrange1*(), baseBiL*(), baseTriL*(), rezidual(), matrix(), inverse_element_mapping() - tests: - split tests/test_assembling.py - move test_eval_matrix(), test_vector_matrix(), test_surface_evaluate(), test_dq_de() into tests/test_term_consistency.py - move test_save_ebc() into new tests/test_ebcs.py - clean up and modernize - add new assembling tests to tests/test_assembling.py - new test_assemble_vector(), test_assemble_vector_complex(), test_assemble_matrix(), test_assemble_matrix_complex() - new sfepy/fem/extmods/bases.pyx: - new get_barycentric_coors(), _get_barycentric_coors() - new _eval_lagrange_simplex(), eval_lagrange_simplex() - new _eval_lagrange_tensor_product(), eval_lagrange_tensor_product() - new _get_xi_simplex(), _get_xi_tensor() - new evaluate_at() - update Field.evaluate_at() for new evaluate_at() - use new base evaluation functions: - update _eval_base() of LagrangeSimplexPolySpace, LagrangeSimplexBPolySpace, LagrangeTensorProductPolySpace - remove PolySpace.clear_c_errors() - new wrappers of orient_elements(), graph_components(): - new sfepy/fem/extmods/mesh.pyx - add bases, mesh to __init__.py, remove meshutils - update Domain.fix_element_orientation() - update surface_components() - remove sfepy/fem/extmods/meshutils.i - new pyalloc(), pyfree() helper functions - move mesh_graph() and related functions to meshutils.c - remove raw_graph() - new create_mesh_graph() - define basic types in new types.pxd - new _fmfield.pyx, _fmfield.pxd - FMField-related wrappers: - new array2fmfield*() - remove fem module from setup.py - remove fem.c, fem.h, fem.i - remove geometry.i, update setup.py - new mappings.pyx: - new CVolumeMapping extension class - update setup.py for mappings.pyx, reuse _fmfield library - new mappings.pxd for mappings.pyx - new CSurfaceMapping extension class - use CVolumeMapping, CSurfaceMapping in VolumeMapping, SurfaceMapping - new Config.python_include() - use sfepy_common library for common C code - use sfepy_terms library for term C code - add ignore_errors argument to load_classes() - new array2pint2(), array2pint1() helper functions - simplify import of extmods.terms - new terms.pyx: - wrap dq_state_in_qp(), dq_grad(), dq_grad_extra(), dq_div_vector(), d_volume_surface(), di_surface_moment() - update eval_real(), eval_real_extra(), eval_complex() - wrap dq_finite_strain_tl(), dq_finite_strain_ul(), dq_tl_finite_strain_surface(), dq_tl_he_stress_bulk(), dq_ul_he_stress_bulk(), dq_tl_he_stress_neohook(), dq_ul_he_stress_neohook(), dq_tl_he_stress_mooney_rivlin(), dq_ul_he_stress_mooney_rivlin(), dq_tl_he_tan_mod_bulk(), dq_ul_he_tan_mod_bulk(), dq_tl_he_tan_mod_neohook(), dq_ul_he_tan_mod_neohook(), dq_tl_he_tan_mod_mooney_rivlin(), dq_ul_he_tan_mod_mooney_rivlin(), dw_he_rtm(), de_he_rtm(), dq_tl_stress_bulk_pressure(), dq_ul_stress_bulk_pressure(), dq_tl_tan_mod_bulk_pressure_u(), dq_ul_tan_mod_bulk_pressure_u(), dw_tl_volume(), dw_ul_volume(), dw_tl_diffusion(), dw_tl_surface_traction(), dq_def_grad(), he_residuum_from_mtx(), he_eval_from_mtx() - update hyperelastic term classes for terms.pyx: - update HyperElasticBase, HyperElastic{TL, UL}Base, SurfaceTractionTLTerm - wrap dw_volume_wdot_scalar(), dw_laplace(), d_laplace(), dw_diffusion(), d_diffusion(), dw_permeability_r(), dw_diffusion_coupling(), d_diffusion_coupling(), de_diffusion_velocity(), d_surface_flux() - wrap dw_lin_elastic_iso(), dw_lin_elastic(), d_lin_elastic(), dw_lin_prestress(), dw_lin_strain_fib(), de_cauchy_strain(), de_cauchy_stress(), dq_cauchy_strain(), dw_surface_ltr(), dw_volume_lvf(), dw_mass(), dw_mass_scalar(), d_mass_scalar(), dw_surf_mass_scalar() - wrap term_ns_asm_div_grad(), term_ns_asm_convect(), dw_lin_convect(), dw_div(), dw_grad(), dw_st_pspg_c(), dw_st_supg_p(), dw_st_supg_c(), dw_st_grad_div(), dw_biot_grad(), dw_biot_div(), d_biot_div(), dw_piezo_coupling(), d_piezo_coupling(), dw_electric_source() - wrap d_diffusion_sa(), dw_surf_laplace(), d_surf_laplace(), dw_surf_lcouple(), d_surf_lcouple() - add stubs for remaining functions - remove terms.i - new crcm.pyx: - rcm(), permute_in_place() - update setup.py and init files for crcm.pyx - remove rcm.i, array.i, common.i, fmfield.i - update .gitignore - update docs (swig -> cython) - fix script/gen_term_table.py for circular dependency - build: - update Clean.run() to remove cython-generated files - fix speed regression (numpy.distutils quirk) - make cython compulsory dependence in setup.py - set min. cython version to 0.14.1 - make proper class for physical quadrature points: - new PhysicalQPs, .get_merged_values(), .get_shape() - update get_physical_qps() - update Material for PhysicalQPs - update PhysicalQPs.get_shape() - make ig optional, check shape compatibility - also allow any raveled shape length >= 1 - update get_physical_qps(), add n_total attribute to PhysicalQPs - updated Lagrangian formulation: - fix evaluate.new_ulf_iteration() - update hyperelasticity (ULF) terms for new Term.evaluate() - remove cachesFiniteStrain.py: - functions moved to terms_hyperelastic_ul(tl).py - fix hyperelastic ULF terms: CompressibilityULTerm, VolumeULTerm - fix hyperelastic terms in ULF for mixed pressure-displacement formulation - terms: - update DiffusionIntegrateTerm, renamed: d_diff... --> di_diff... - new arg_type: 'opt_material' - optional material - remove "_mass_scalar_w" terms, use "_mass_scalar" instead - remove "_w" terms in termsBasic.py and termNavierStokes.py - fix Term.classify_args() - fix SurfaceMomentTerm.get_eval_shape() - fix dw_volume_dot, SurfaceTerm, SumNodalValuesTerm, DiffusionSATerm - update DiffusionIntegrateTerm, DiffusionVelocityTerm, DiffusionRTerm, disable PermeabilityRTerm - update acoustic and diffusion terms - problem description: - update ProblemConf.get_function() for passing functions directly - use ProblemConf.get_function() to get parametric hook - update ProblemConf.from_file() to accept define_args as tuple - tensors: - update transform_data() for fourth order tensors - check numbers of points in transform_data() - do not meddle with data shape implicitly - fix transform_data() (second order case) - add mode argument to prepare_cylindrical_transform() - fix docstring of transform_data() - polynomial spaces: - pass space, poly_space_base to Interpolant, SurfaceInterpolant: - update {SurfaceField, Field}.create_interpolant() - update PolySpace.eval_base() for array-like coors argument - new sfepy/fem/extmods/lobatto_template.pyx - new eval_lobatto() - update setup.py for lobatto.pyx - add generated sfepy/fem/extmods/lobatto.pyx to simplify building - mesh refinement: - new Mesh.get_element_coors() - new refine_3_8() - update Domain.refine() for hexahedral meshes - new gen_misc_mesh(), gen_mesh_from_string() - new ProblemDefinition.refine_uniformly() - new refine_2_3(), refine_2_4() - update Domain.refine() for 2D meshes - solvers: - simplify imports in ScipyIterative.__init__() - silence sparse efficiency warning - new linear solver - Schur complement - input-output: - update MeditMeshIO.read() - add omit_facets argument - update Mesh.from_file(), MeshIO.read() - add omit_facets argument - remove *args from MeshIO.read(), .write() - new BDFMeshIO.write() function (Nastran data format) - fix VTKMeshIO.read() - clean up ioutils.py (imports, whitespace, coding style) - update supported_capabilities dict - prepare for boundary conditions - update Mesh._set_data() - add nodal_bcs argument - update NEUMeshIO.read() to read nodes of boundary conditions - update Mesh.from_file() - allow passing Mesh instance in place of file name - fields, variables: - update Field.get_mapping() for initial time step - fix indx initialization in Variable.__init__() - update Field.setup_dof_conns() for string dc_type - report standalone vertices in evaluate_at() - check for standalone vertices in Field.evaluate_at() - scripts: - turn script/gen_term_table.py into sphinx extension - new script/gen_gallery.py: - generate documentation and gallery of sfepy examples - new script/gen_lobatto_pyx.py - postproc.py: - update parse_view(), --view help message - new --no-offscreen option - add script/show_authors.py - schroedinger: - more fixes for meshes with several element groups - new sfepy/physics/radial_mesh.py - RadialMesh, RadialHyperbolicMesh - fix for higher order approximations, clean up - update split of DFT and general options, update docstrings - add init_hook application option - add v_fun_name application option - update Potential for user arguments to evaluation function - new Potential.__len__() - rename --mesh option to -create-mesh - new --mesh, --mesh-dir options - use ensure_path(), allow only one of --mesh, --create-mesh - homogenization: - update recover_micro_hook(), new parameter 'recovery_file_tag' - update homogenized coefficient classes for term_mode argument: - update MiniAppBase.__init__() - update {CoefSymSym, CoefFMSymSym, CoefDimSym, CoefNN, CoefN, CoefSym, CoefFMSym, CoefOne, CoefFMOne}.__call__() - new volume computation and selection - allow passing scalar volume to coefficient classes - new MiniAppBase._get_volume() - fix output key in CorrMiniApp.get_output() - update HomogenizationApp.process_options(), .call() - clean up - clean up Coefficients - tests and examples: - new test_hyperelastic_tlul.py - compare TLF and ULF solutions - remove tests/test_input_hyperelastic.py - test duplicated by test_hyperelastic_tlul.py - add basic docstrings with equations to examples in gallery - fix linear_elastic_probes.py example - update test_install.py to test linear_elastic_probes.py example - add test for refine_3_8(): - new refine(), test_refine_hexa() - rename test_refine() -> test_refine_tetra() - add test for fourth order tensors support in transform_data(): - new test_transform_data4() - test mesh interpolation invariance (FieldVariable.evaluate_at()): - new gen_datas(), test_invariance(), test_invariance_qp() - add __init__.py files to allow package imports in examples/ - fix importing utils.py in Navier-Stokes examples: - wrong file (from pytables) got imported in Windows - improve testing of uniform mesh refinement - misc: - new get_jacobian() utility function - update set_mesh_coors() - add clear_all argument - fix argument types in gen_block_mesh(), gen_cylinder_mesh() - update FieldVariable.data_from_qp() for higher order approximations - fix test_install.py for windows - new ensure_path(), locate_files(), remove_files() - update Viewer.set_source_filename() - catch also AttributeError - fix syntax for python 2.5 - remove FMField.stride (unused in cython wrappers) - update 'nodes of group' region selector for named groups - use NumPy C type definitions, fix pointer type and printf format warnings - remove unnecessary includes (fix _POSIX_C_SOURCE warnings) - remove unused vg_integrateChunk(), sg_integrateChunk() - remove caches attribute from Equations and Equation - improve getting default integrals in ProblemDefinition: - new ProblemDefinition.get_integrals() - fix common_python.c for 64bit systems - add reference element meshes - remove unused methods of GeometryElement: - remove .orient_edges(), .orient_faces3(), .orient_faces4() - remove sfepy/optimize/fluentutils.py - fix docstring of get_green_strain_sym3d() for LaTeX - fix centre argument in get_coors_in_tube() - build: - update Clean.run() to clean also examples/, script/, tests/ - include *.pxd files and lobatto_template.pyx in distribution - do not install version.h.in - add lobatto_template.pyx, version.h.in to MANIFEST.in - documentation: - new examples.rst - update latex_preamble in doc/conf.py - add terms_constraints.rst to table of contents - new sfepy docs html layout - update region selection syntax in users guide - fix developer guide for renamed/deleted/new files - move installation docs into new doc/installation.rst, update - add remaining sfepy modules to developer guide - update script options in users guide - link examples, primer from index - add features to introduction - add applications to index - more on ebcs given by functions .. _2011.2-2011.3: from 2011.2 to 2011.3 ===================== - major update of terms - merge easier_terms branch: - aim: easier usage and definition of terms while retaining original C functions - approximations and fields: - new Approximation.get_connectivity() - update Approximation.describe_geometry(): - new return_mapping argument - make volume mappings local to given region - include used polynomial space in geometry object: - update Approximation.describe_geometry() - manage mappings in Field: - new Field.clear_mappings(), .save_mappings(), .create_mapping(), .get_mapping() - equations and variables: - evaluate and cache quantities in FieldVariable: - new FieldVariable.evaluate(), .clear_evaluate_cache() - update Variable.__call__() history behaviour for step 0 - update Variable.advance() to advance evaluate cache - copy equations variables in ProblemDefinition.create_evaluable() - invalidate evaluate cache in Variable.data_from_any() - factor out variable evaluation to new evaluate_variable.py: - update FieldVariable.evaluate() - new eval_real(), eval_complex() - update Equations.invalidate_term_caches() for evaluate caches: - new FieldVariable.invalidate_evaluate_cache() - move NewTerm.get_shape_kind() to get_shape_kind() - update Term: - new Term.get(), .get_mapping(), .get_data_shape() - refactor Term.evaluate(): - new Term.check_shapes(), .eval_real(), Term.eval_complex(), split_complex_args() - new Term.get_assembling_cells() - remove Term.needs_local_chunk() - update Term.assemble_to() - fix Term.iter_groups() for no cells in a group - update many terms for new Term.evaluate(): - dw_laplace, dw_diffusion, de_diffusion_velocity, dw_biot, dw_lin_elastic, de_cauchy_strain, de_cauchy_stress: - update both Python and C code, lots of simplifications - dw_mass_scalar, dw_mass_scalar_w - dw_lin_elastic_iso, dq_cauchy_strain, dq_cauchy_stress, dw_mass_vector, dw_piezo_coupling, dw_surface_ltr - remove dw_mass - dw_div_grad, dw_convect, dw_lin_convect, dw_stokes, dw_stokes_w - merge dq_lin_convect with dw_lin_convect - dq_grad, de_grad, dq_div, de_div (was d_div) - dw_point_lspring, dw_volume_lvf - di_volume_integrate (merged with de_average_variable, dq_state_in_volume_qp) - di_surface_integrate (was d_surface_integrate, merged with dq_state_in_surface_qp) - di_surface_integrate_w (was d_surface_integrate_w) - dw_volume_integrate, dw_volume_integrate_w, dw_surface_integrate, dw_surface_integrate_w, d_volume_dot, d_surface_dot, d_surface_dot_w, d_volume, d_surface, d_volume_surface, di_surface_moment, d_sum_vals - dw_volume_dot_w, allow different approximation of the arguments - di_integrate_mat (was de_volume_average_mat + di_volume_integrate_mat) - dw_jump, remove dw_jump() - dw_non_penetration term - dw_st_pspg_c, dw_st_supg_p, dw_st_supg_c, dw_st_grad_div - dw_surface_mass_scalar, dw_surface_mass_scalar_w, dw_bc_newton - remove dw_mass_scalar_fine_coarse - d_surface_flux: - rename d_hdpm_surfdvel -> d_surface_flux - remove termsHDPM.* files, move functions to termsLaplace.* - dw_tl_membrane - dw_electric_source - update basic hyperelastic TL terms for new Term.evaluate() - new HyperElasticBase.get_family_data() - new HyperElasticTLBase.integrate(), .function(), .compute_family_data(), .compute_stress(), .compute_tan_mod(), .get_fargs(), .get_eval_shape() - dw_tl_he_neohook, dw_tl_he_mooney_rivlin, dw_tl_bulk_penalty - dw_tl_fib_a, dw_tl_surface_traction - update TL perfusion terms for new Term.evaluate() - dw_tl_bulk_pressure, dw_tl_volume, dw_tl_diffusion terms - update examples for new Term.evaluate(): - examples/biot/biot_npbc.py - examples/navier_stokes/navier_stokes.py - examples/linear_elasticity/material_nonlinearity.py - examples/biot/biot_npbc_lagrange.py - examples/homogenization/linear_elastic_mM.py - update tests: - update test_surface_evaluate() - update test_laplace_unit_*.py for d_surface_flux - update Region.select_cells_of_surface() for passing to C - averaging mode in vg_integrate(), sg_integrate(): - use vg.integrate() in de_grad, de_div terms - remove de_integrate() - fix regions, groups for argument traces - remove obsolete term caches: - remove sfepy/terms/cachesBasic.py - remove FiniteStrainTLDataCache, FiniteStrainSurfaceTLDataCache - new eval_real_extra(), dq_grad_extra() - update sfepy/homogenization/recovery.py - update FESurface for mirror connectivities: - start FESurface.setup_mirror_connectivity() - update FESurface.get_connectivity() - add is_trace argument - update field and DOF connectivities for boundary traces: - is_trace is part of field DOF connectivity keys, active DOF connectivity keys and FieldVariable evaluate cache keys - update setup_dof_conns(), Field.setup_extra_data() - update Field.setup_surface_data(), .setup_dof_conns(): - add is_trace argument - update Approximation.get_connectivity() - add is_trace argument - update Equations.get_graph_conns() - update FieldVariable.get_dof_conn(), .evaluate() - update Term.assemble_to() - update SurfaceField.setup_dof_conns() for is_trace argument - docs: - add Primer tutorial - installation: new Python(x,y) instructions with umfpackpy - dev guide: describe directory structure - add local table of contents at several places - fix term signature table generation in process_terms() - fix typeset_term_table() for multi-equation definitions - dev guide: rewrite section on implementing new terms - new terms_new.rst - make tutorial images smaller - update and link release tasks to developer guide - regions: - update define_box_regions() - add can_cells argument - add true_cells attribute to Region: - update Region.__init__(), .update_groups(), .set_faces(), .select_cells(), .select_cells_of_surface() - update Region.set_from_group(), .set_faces(), .complete_description() - update Region.get_n_cells() to return total count optionally - fix Region.set_faces() - fields: - check region passed to field constructor: - new Field.check_region(), SurfaceField.check_region() - new SurfaceField.average_qp_to_vertices() - fix Approximation.describe_geometry() for surface fields - fix default fill value in Field.extend_dofs() for scalars - fix Field.get_dofs_in_region_group() for surface regions (no true cells) - remove unused Field.update_geometry() - replace FieldVariable.describe_geometry() by new .get_mapping() - problem description: - update ProblemConf constructors - new override argument: - override given configuration items using override dict - new ProblemConf.dict_from_string() - new sfepy/base/parse_conf.py: create_bnf() - schroedinger.py: new --conf, --options options - allow override - simple.py: new --conf, --options options - allow override - new ProblemConf.get_function(): - update assign_standard_hooks() - update schroedinger.py - remove obsolete 'fe' keyword - input-output: - fix reading mat_id in VTKMeshIO, read node_groups (if it exists) - set TetgenMeshIO.getnodes(), .getele() verbose default to False so that it does not interfere with runTests.py - update UserMeshIO.read() for functions returning new mesh - fix blockgen.py, cylindergen.py scripts - update gen_block_mesh(), gen_cylinder_mesh() for non-array arguments - fix SimpleApp.setup_output_info() for MeshIO instances as filename_mesh - implement geometrical surface groups in Domain: - new Domain.create_surface_group(), .clear_surface_groups() - update Approximation.describe_geometry() for surface groups - update Field.setup_extra_data() - integrals: - update Integrals.get() to accept int as quadrature name - new Integral.get_key() - remove unused dim attribute from Integral - terms: - fix Mooney-Rivlin stress term - remove VolumeDataCache, SurfaceDataCache: - simplify d_volume, d_surface terms - remove Term.describe_geometry(), use .get_mapping() instead - solvers: - update processing of solver options - use new make_get_conf() - options in 'conf' can be overridden using kwargs - remove LinearSolver.set_tolerance() - remove SymeigEigenvalueSolver, clean and fix sfepy/solvers/eigen.py - remove symeig reference - merge common code in eigensolvers to a decorator - fix PETScKrylovSolver for nonlinear problems - fix output indentation in PysparseEigenvalueSolver.__call__() - always compute initial residual in time_step_function() - schroedinger: - update schroedinger.py to follow style guide - schroedinger.py: new --save-restart, --load-restart options: - basic DFT restarting functionality - schroedinger.py: add save_dft_iterations application option - allow adding/subtracting zero to PotentialBase - make Potential iterable, numerical charge computation: - new Potential.__iter__(), .get_distance(), .get_charge() - update getvxc() to compute also energy - fix schroedinger.py for meshes with several element groups - schroedinger.py: move conf code to new ProblemConf.from_file_and_options() - scripts: - extractor.py: improve help message - remove sfepy_gui.py - update test_install.py to report success/failure in log of times - update test_install.py to test --config option - base: - new print_array_info(), update_dict_recursively(), edit_dict_strings() - misc: - new SimpleApp.save_dict(), .load_dict() - make PolySpace.node_coors C-contiguous - fix ElasticConstants for SymPy 0.7.0 - remove unused Domain.get_orientation() - update evaluate_at() to be more robust for tensor product elements - update EquationMap.map_equations() for array values - fix mayavi imports for version 4.0.0 - fix output shape in dot_sequences() - fix State.get_scaled_norm() for zero scaling norm - fix set_mesh_coors(), ProblemDefinition.set_mesh_coors() - remove geometries and geometries0 attributes - implement updated Lagrangian formulation for finite strain elasticity - example - setup reference state for nonlinear homogenization - fix and add terms, support for nonlinear homogenization - updating reference geometry - new "ulf" options, setup iter_hook - setup actual and initial coordinates - fix computation of the deformation gradient - new example hyperelastic_ul_up.py - ULF, displacement-pressure formulation - new dw_ul_volume and dw_ul_compressible terms - new terms: - dw_div_w (weighted divergence term of a test function) - examples: - new examples/standalone/thermal_electric/thermal_electric.py: - update test_install.py to test it - new examples/linear_elasticity/its2D_1.py - new examples/linear_elasticity/its2D_2.py - new examples/linear_elasticity/its2D_3.py - update test_install.py to test it - new examples/linear_elasticity/its2D_4.py - setup: - fix setup.py files to correctly define DEBUG_FMF flag - allow calling "python setup.py" via Makefile - update site_cfg_template.py - fix matplotlib version for ubuntu 10.04 - update package_check() for alternative names - update mayavi version check .. _2011.1-2011.2: from 2011.1 to 2011.2 ===================== - experimental implementation of terms - merge new_terms branch: - aim: easier usage and definition of terms - new NewTerm class, to coexist with Term for some time - update FieldVariable: - new .set_current_group(), .clear_current_group() - new .val(), .val_qp(), .grad(), .grad_qp(), .iter_dofs() - new .assign_geometries(), .clear_bases(), .setup_bases() - new .get_element_zeros(), .get_component_indices() - add spatial dimension attribute - cache base functions and geometries - new get_range_indices() - new examples: - examples/miscellaneous/compare_scalar_terms.py - examples/miscellaneous/compare_vector_terms.py - new new terms: - dw_new_diffusion - dw_new_mass_scalar - dw_new_mass - dw_new_lin_elastic - implement basic membrane elements - merge tl_membrane_term branch: - new dw_tl_membrane (Mooney-Rivlin membrane term) - update build system to use exclusively setup.py: - update setup.py to check dependencies, prepare for using Cython - update setup.py clean to remove files generated by in-place build - new setup.py options: htmldocs, pdfdocs, doxygendocs - remove all Makefiles - new MANIFEST.in for excluding paths/files from distribution - site configuration: - update options in site_cfg_template.py, update Config - remove archlib, numpy_include - rename opt_flags -> compile_flags - set options for building extension modules via Config - update and clean up setup.py files - docs: - update for no Makefiles, add sympy as dependency - add sphinx build file for windows - fix doc/doxygen.config to exclude generated files - update tutorial: - add long, short syntax sections, add TOC - add basic notions, sneak peek sections - boundary condition: - allow switching boundary conditions on/off depending on time: - update boundary conditions to have times attribute - update Conditions, EssentialBC, PeriodicBC, LinearCombinationBC - use new is_active_bc(), update matrix graph as needed - pass problem definition to user EBC functions: - update tests and examples - postprocessing and visualization: - fix Viewer and add_subdomains_surface() for animations: - new FileSource.setup_mat_id(), set mat_id in .create_source() - update ViewerGUI - 'make snapshots' button - fix animation view setting in Viewer, ViewerGUI: - use all view components including distance and focal point - postproc.py: - new --opacity option - new --domain-specific option - new parse_domain_specific() - new sfepy/postprocess/domain_specific.py - new DomainSpecificPlot class, plot_displacements() - linalg: - prevent nans in cg_eigs() - fix cg_eigs() for array input - new normalize_vectors() - update dot_sequences() to use numpy.core.umath_tests.matrix_multiply(): - more than ten times faster, if available! - input-output: - extractor.py: new --times option - support for variable time steps: - new extract_times() - new MeshIO.read_times(), HDF5MeshIO.read_times() - update VTKMeshIO, HDF5MeshIO to save true time step data - solvers: - update Newton: - new 'give_up_warp' configuration option - return number of iterations in status - support iter_hook - improve bad linear solver convergence report - allow linear solver precision relative to residual norm: - new 'lin_precision' solver option - new VariableTimeStepper - time stepper with a variable time step - update ProblemDefinition for nonlinear solver iter_hook - improve convergence reporting of ScipyIterative, PETScKrylovSolver - add tolerance arguments to linear solvers - homogenization: - new CorrSetBCS corrector - "zero" state with applied boundary conditions - misc: - new invert_remap() - new Region.from_faces(), .set_faces() - new guess_time_units() - add test_install.py - new terms: - dw_lin_strain_fib (linear prestrain term - defined by direct. fibers) - removed terms: - remove d_surf_diffusion_integrate term (same as d_hdpm_surfdvel) - examples: - new examples/diffusion/poisson_short_syntax.py - rearrange examples/diffusion/poisson.py - many bug fixes =:) .. _2010.4-2011.1: from 2010.4 to 2011.1 ===================== - implement discontinuous fields - merge 'discontinuous' branch - use mesh connectivity to construct reference maps - independently from approximations of variables (fields) - always P1 or Q1, based on element geometry - update Approximation.describe_geometry() and related functions - new DiscontinuousField, DiscontinuousApproximation classes - use DiscontinuousField for P0, Q0 approximations - new eval_nodal_coors() - update Approximation.eval_extra_coor() - new Field.average_qp_to_vertices(), .interp_to_qp() - update surface fields: - new SurfaceApproximation class, used by SurfaceField - new SurfaceInterpolant class, used by SurfaceField - fields: - new Field.get_true_order(), .get_vertices() - new Field.evaluate_at() - allows different behaviour for Field subclasses - new Field.get_output_approx_order() - correct output order - remove Approximations class, move its functionality to Field - simplification to remove a layer of code that was not needed - Field.aps is an ordinary dict - methods using is_surface split between Field and SurfaceField - state, variables, degrees of freedom: - new DofInfo.get_n_dof_total() - new Linear Combination BC operator: IntegralMeanValueOperator - new EquationMap.get_operator() - new State.from_variables(), .set_parts() - add force argument to State.set_full() - new Variables.check_vector_size(), use it to check DOF vectors - fix Variables.state_to_output() for saving by parts - fix Variable.advance() - prevent history modification - new FieldVariable.apply_ebc(), .apply_ic() - update Variables.apply_ebc(), .apply_ic() - new FieldVariable.get_full() - update Variables.make_full_vec(), remove var_name argument - new FieldVariable.get_reduced() - update Variables.strip_state_vector(), fix for non-first variables - remove Variable.get_indx(), update State accordingly - the indx attribute of a variable is local only, it does not index the state vector - dangerous to expose it - materials: rewrite updating of material parameters - allow material nonlinearity, i.e. parameters dependent on state - ProblemDefinition instance needs to be passed into Materials.time_update() and related functions - material user function syntax changed - takes ts, coors, mode, equations, term, problem and group_indx - the coors argument are the QP coordinates for all element groups merged - equations and evaluation: - split Equations.time_update() - new Equations.time_update_materials() - fix term evaluation with complex variables - update Equations.eval_tangent_matrices() - names argument - fix Equations.eval_tangent_matrices() for multi-variate terms - clear the matrix there, not in BasicEvaluator.eval_tangent_matrix() - update Equations.eval_residuals() - by_blocks, names arguments - new Equations.print_terms() - add regions argument to create_evaluable() - terms: - new register_term() - ensure that each Term instance has caches attribute - ensure that all terms in equations share the same DataCaches instance - new Equations.setup_caches() - update Term.get_arg_name() - add docstring, join argument - fix Term.assign_caches(), .get_cache() for material arguments - update cachesBasic for complex values - mesh, domain, regions: - generate meshes using: 2D - triangle, 3D - tetgen - speed-up mesh reading by using numpy.fromfile() - update read_array() - update VTKMeshIO, ComsolMeshIO, VTKMeshIO, MeditMeshIO - update skip_read_line(), read_token() - coordinate transformation matrix can be defined in options - allows translation in coordinate transformation - new Domain.refine() - uniform tetrahedral mesh refinement - new sfepy/fem/refine.py: refine_3_4() - new Region.from_vertices() - new Region.update_shape(), update Region.complete_description() - new Facets.get_complete_facets() - problem definition: - new ProblemDefinition.setup_hooks() - fix ProblemDefinition.solve() for LCBCs - new ProblemDefinition.set_output_dir(), .set_solvers_instances() - update ProblemDefinition.init_solvers() to report presolve time - new ProblemDefinition.set_equations_instance() - solvers: - fix time_step_function() to allow presolve if possible - fix Newton, SemismoothNewton exception handling (define ok) - update/fix TimeStepper construction arguments - new pre_process_hook - called in solve_direct - fix TimeStepper, get_print_info() for n_step set to 1 - fix time stepping solver for quasistatic linear problems - new prepare_matrix() - sfepy.linalg: - new get_coors_in_ball() - new assemble1d(), unique_rows(), infinity_norm() - new insert_strided_axis() - update cg_eigs(), sym_tri_eigen(), allow eigenvalue selection - fix and update dot_sequences() - general mode argument - large deformation: - fix HyperElasticBase for several element groups - fix HyperElasticBase for matrix-only assembling - compute stress in matrix mode if no previous residual mode call - fix BulkPressureTLTerm (dw_tl_bulk_pressure) for several element groups - update VolumeTLTerm to work in initial step - fix error handling in hyperelastic term caches - new sfepy/mechanics/membranes.py: functions for membranes - new describe_deformation(), get_tangent_stress_matrix(), create_transformation_matrix(), create_mapping(), get_invariants() - schroedinger: update and clean up - update for recent changes (on the fly geometries, Materials under Equations, for material nonlinearity, ...) - add iter_hook_final application option - fix getting parametric hook for inputs with define() - homogenization: - update plotPerfusionCoefs.py - new CorrEqPar - parametrized equation via 'eq_pars' - update TCorrectorsViaPressureEVP for Variable.get_full() - allow complex coefficients - fix CorrectorsPermeability - update PressureEigenvalueProblem - remove obsolete fading memory coefficients - remove ViscousFMCoef, BiotFMCoef, BiotFM2Coef, FMRBiotModulus - update fading memory coefficients CoefFMSymSym, CoefFMSym, CoefFMOne - fading corrector file names obtained by set_variables() - update time dependent pressure eigenvalue problem based correctors - update TCorrectorsViaPressureEVP - update TCorrectorsRSViaPressureEVP, TCorrectorsPressureViaPressureEVP - raise original exception in MiniAppBase.init_solvers() - update recover_bones() - fix variable names in CorrMiniApp.get_output() for no components - genPerMesh.py: - new --repeat option - split and move functionality into sfepy.fem - move fix_double_nodes(), get_min_edge_size(), get_min_vertex_distance(), get_min_vertex_distance_naive() into sfepy/fem/mesh.py - new compose_periodic_mesh() - remove broken --test option - new terms: - d_sum_vals (sum nodal values, for use in postprocessing) - d_diffusion_integrate (diffusion integral term) - d_surf_diffusion_integrate (diffusion surface integral term) - dw_diffusion_coupling (diffusion copupling term) - new d_div term (evaluate divergence term) - d_surface_integrate_w (integrate a variable over a surface) - d_surface_dot_w (surface dot product for both scalar and vector fields) - clean up in acoustic terms - some of them replaced by more general diffusion terms - simplify acoustic/diffusion sensitivity terms - d_llaplace_p_sa1, d_llaplace_p_sa2, d_llaplace_t_sa2 -> d_diffusion_sa - dw_surface_llaplace -> dw_surface_laplace - remove obsolete code, clean up: - BasicEvaluator.strip_state_vector(), LCBCEvaluator.strip_state_vector() - remove obsolete function and code (_fix_scalar_dc()) - remove Field.get_extra_nodes_as_simplices(), .write_mesh() - simple.py: remove --save-region-field-meshes option - remove code depending on removed Field.get_extra_nodes_as_simplices() - Mesh.from_region_and_field() - ProblemDefinition.save_region_field_meshes() - remove Field.interp_c_vals_to_n_vals() - remove parameter 'shape' from term di_volume_integrate_mat - remove read_tuple() - docs: - new projections.rst, fields.rst, variables.rst - misc: - remove star imports - fix Output.__init__() arguments - new Container.extend() - allow construction of OneTypeList from sequence - fix acoustic band gaps code - new Interpolant.get_geom_poly_space() - new make_l2_projection() for scalar field variables - add tetrahedron quadratures of order 4 and 6 - update get_physical_qps() - use slices for efficiency - update Viewer - plot scalar cell data as cell data if possible - isfepy: update startup message - tests and examples: - tests/test_projections.py: new test_projection_tri_quad() - new examples/linear_elasticity/material_nonlinearity.py + test - fix, update examples/diffusion/poisson_parametric_study.py - update tests/test_tensors.py - new test_transform_data(), test_stress_transform() - new tests/test_linalg.py - test dot_sequences(), insert_strided_axis() - update tests/test_linalg.py - new test_unique_rows(), test_assemble1d() - new tests/test_domain.py - very basic tests of facets and refinement - many bug fixes .. _2010.3-2010.4: from 2010.3 to 2010.4 ===================== - base: - better printing formatting for basic data types - docs: - use viewcode Sphinx extension - add gitwash tutorial (adapted from Numpy) - sfepy.linalg: - new insert_sparse_to_csr() - insert a sparse matrix into a CSR matrix - new compose_sparse() - improve structuring: - move some functions from sfepy.linalg.utils to sfepy.linalg.geometry - remove unneeded functions - simplify importing: - import all its contents into sfepy.linalg namespace - new sfepy/linalg/eigen.py - eigenvalues utility functions - new sfepy/linalg/geometry.py - barycentic coordinates and simplex utilities - conditions: - make active LCBC-constrained DOF information always defined - update make_global_lcbc_operator() to preserve matrix blocks - also create and return global active LCBC-constrained DOF information - new NormalDirectionOperator class - solvers: - solvers: provide default name and kind for any type of conf - allow (re)setting data of an existing TimeStepper instance - use a single time stepper instance in ProblemDefinition - pass the instance to .set_equations() as user data to satisfy time-dependent term arguments - update Newton, SemismoothNewton - raise original residual/matrix exceptions - update SemismoothNewton to use compose_sparse() - the Jacobian needs no longer to have the non-smooth part preallocated - refactoring of geometries (reference mappings) - merge 'geo' branch - create geometries as needed on the fly, similarly to term caches - equations only assign container for geometries to terms - geometries no longer stored in Approximations instances - greatly simplify Approximations.describe_geometry() - new sfepy/fem/mappings.py: - handle reference element mappings by new Mapping, VolumeMapping, SurfaceMapping classes - update Equations to create, hold and update Materials: - only materials actually present in equations are updated during ProblemDefinition.time_update() call now - update materials in ProblemDefinition to be created on demand - similar to creating variables - DOF vector synchronization with variables - merge 'state' branch - new sfepy/fem/state.py - new State class for handling state Variables - Domain and Mesh: - new Facets class for handling edges and faces - remove C code superseded by Facets - remove unused code superseded by scipy.spatial - new Mesh.explode_groups() - update Field: - simplify Field, Approximations - assume single base and region - new SurfaceField - subclass of Field - enrich the field region syntax - allow (region, 'surface') tuple - add is_surface attribute to Approximations, Approximation - update Mesh.from_region() for surface field regions - useful for saving SurfaceField variables with file_per_var option - simplify setting Field approximation order and Interpolant construction - move code for getting DOFs in a region to Field - move DOF manipulation functions to Field - update Equations: - allow passing additional connectivities to Equations.create_matrix_graph() - allow passing single Term to Equation.__init__() - update Equations.eval_tangent_matrices() - block assembling mode - update Variables: - set _variables attribute in Variables.__setitem__() so that any Variable has it once it is added to Variables - new MultiplierVariable - subclass of FieldVariable - update Terms: - allow different Term integration per call mode - simplify setting of term geometry and connectivity types: - new Term.integration attribute - new Term.setup_integration() to determine geometry and connectivity types according to the integration attribute - remove Volume, Surface, Edge, Point, SurfaceExtra constants - geometry types lower-cased - expression evaluation: - pass integral instances instead of integral names where applicable - pass Term instance to .init_data() of DataCache subclasses - update all affected terms and term caches - enable calling user functions on tangent matrix in evaluators - check argument names consistency in ProblemDefinition.create_evaluable() - implement higher order elements - merge 'ori' branch: - new NodeDescription class - prepare all possible facet DOF permutations - update Facets to store raw orientation - reimplement Approximations.setup_global_base(): - for any polynomial degrees (including extra face DOFs), no C - update computation of extra node coordinates, no C - remove obsolete/unused methods and C functions - prepare remap vectors and DOF indices for all DOF kinds - new sfepy/fem/projections.py - start projections between FE spaces - homogenization: - remove unused (obsolete) correctors and coefficients - remove 'auxiliary' coefficients - new sfepy/mechanics/friction.py, DualMesh class - problem description file: - allow optional arguments to define() - update field keywords to match Field constructor arguments - new ANSYS CDB file reader - output: - new FieldVariable.create_output(), simplify Variables.state_to_output() - update Variables.state_to_output() - allow skipping variables - new terms: - dw_non_penetration (non-penetration condition term) - dw_surface_lcouple (acoustic term - derivatives in surface directions) - dw_surface_llaplace (acoustic term - derivatives in surface directions) - dq_div (new divergence in QP term) - scripts: - new friction_slip.py (work in progress) - compare_elastic_materials.py: new --no-plot option - postproc.py: - new --subdomains option - update Viewer - new vector cut plane plotting mode - tests and examples: - new examples/biot/biot_npbc_lagrange.py + test - uses dw_non_penetration term - update tests/test_volume.py to report volumes - update examples/navier_stokes/navier_stokes.py - check divergence-free solution - new tests/test_sparse.py - test compose_sparse() - new 'linear_elastic_up.py' example + test - linear elasticity, mixed formulation - new test_eval_matrix() - tests/test_meshio.py: new _compare_meshes(), test_write_read_meshes() - new tests/test_projections.py - many bug fixes .. _2010.2-2010.3: from 2010.2 to 2010.3 ===================== - refactor for interactive use, making things simpler: - redesign term evaluation: non-assembling modes, hierarchy of calls: - hierarchy: ProblemDefinition.evaluate() - evaluate() - Equation.evaluate() - Term.evaluate() - each level can be used by itself - 'eval', 'el_avg', 'qp' and 'weak' modes - split call_mode into (call_)mode and new term_mode - split evaluate() into create_evaluable() and eval_equations() - new Domain methods to access underlying mesh - refactor Field, remove Fields: - update Field construction (remove bases) - move DOF connectivity setup to fields - refactor construction of Variables - move field-specific methods into FieldVariable - refactor Materials, Material: - remove regions from Material definition: - a Material instance is now really just a collection of values - region is given by a term using the particular Material - split material update code into several functions - allow mixing special constants with parameters given by user-defined function by passing mode='special_constant' to the function - refactor construction of Equations, Equation: - Equation.__init__() accepts Terms instance directly - make parse_definition() a regular function - update Equations to create and hold Variables - variables collected from individual terms - Equations now hold geometries instead of ProblemDefinition - remove term prefixes (namespaces) from description of equations - move setup of equations from ProblemDefinition to Equations - move mirror region handling to Region - move creation of ConnInfo into Term - move assembling to Equations (and Term) - refactor Terms, Term: - allow override of term arguments in Term.get_args() - new Term.new() factory constructor - simplified equation parser (full argument parsing now in create_arg_parser()) - support basic arithmetics - set term integral at time of term construction - new basic boundary condition classes: BoundaryConditions, BoundaryCondition, EssentialBC, PeriodicBC, LinearCombinationBC - allow Function instances in conditions - refactor linear combination BC - new LCBCOperator, RigidOperator, NoPenetrationOperator, LCBCOperators, make_global_lcbc_operator() - refactor DofInfo into proper class (and module) - refactor equation mapping into EquationMap class - implement simplified integral specification in equations - the integral can either be a string representation of a non-negative integer (the integral order) or 'a' (automatic order) or a string beginning with 'i' (existing custom integral name) - integrals are created on demand - ConnInfo now stores directly variables instead of their names - update ProblemDefinition for interactive use: - evaluators do not hold the tangent matrix - split and update ProblemDefinition.time_update() - remove unnecessary arguments from evaluators and generic solvers - remove historical cruft, obsolete code - update all examples - update applications for new term evaluation: - schroedinger.py - shaper.py - simplify interactive construction of solvers: - when a non-abstract class is used, name and kind are inferred automatically - improve tests of examples: - update TestInput to call hook functions and to use solve_direct() - simplify TestInputEvolutionary - check nonlinear solver stopping conditions also for evolutionary problems - homogenization: - new CoefSum and CorrSum - new CoefEval - evaluate expression (e.g. 'c.A/2 + c.B*c.C') - update for new evaluation code - simplify saving/dumping of correctors by new CorrSolution class - correctors stored by variables, not as the whole state vector - user should provide set_variables() functions for all required correctors/coefficients - pass only the direct dependencies to coefficient and corrector mini_apps - mesh readers: - add support for 2d abaqus quad and tri elements - add full read and write support for comsol mesh format for sfepy supported types - examples: - update examples/quantum: - unify 2D and 3D versions - remove broken DFT examples - new example + test (linear_elastic_tractions.py): - employs simplified integral definition - new examples/standalone/interactive/linear_elasticity.py - tests: - new tests/test_high_level.py - documentation: - improve docstrings: - add argument description for all terms - prepend term call signature(s) into term docstrings - new tutorial "Interactive Example: Linear Elasticity" - many bug fixes - base: - update Container class to be more dict-like - new AUTHORS file .. _2010.1-2010.2: from 2010.1 to 2010.2 ===================== - new mesh readers: - MED (Salome, PythonOCC) format - Gambit NEU mesh format - UserMeshIO class: - creating, writing meshes by user-supplied functions - mechanics: - ElasticConstants class - conversion formulas for elastic constants - StressTransform class to convert various stress tensors - basic tensor transformations - updated documentation: - new sections in developer guide - updated tutorial - many new docstrings - solvers: - semi-smooth Newton method - allow registering custom solvers - examples: - usage of functions to define various parameter - usage of probes - scripts: - simple.py: new --log, --quiet options - postproc.py: new --wireframe, --group-names options - extractor.py: new --same-dir, --to, --step options - split homogen.py: - HomogenizationApp moved to sfepy/homogenization/homogen_app.py - new tests: - test region construction - test quadratures using symbolic integration - test semi-smooth Newton solver - miscellaneous updates: - automatic order of variables - refactor integrals and quadratures - improve printing of Struct instances - IPython-enabled debug() - fixed probes in 2D - split Material.time_update() to allow easier setting of data - region selection of several nodes or elements by their ids - update dump_to_vtk() for stationary results (no time stepper) - update import_file(), load_classes() for package namespaces - update all terms for the new Term constructor - refactor dof connectivity setup, info, active dof info - refactor term argument checking - update equations and terms construction - update HomogenizationEngine to allow inter-coefficient dependencies - update term and cache table generation - run tests in alphabetical order - fix paths to meshes and other data in system-wide installation - new get_lattice_volume() - many small bug fixes - new terms: - dw_stokes_w (Stokes term weighted by scalar function) - dq_biot_stress (Biot stress term in QP) - dq_cauchy_strain (Cauchy strain term in QP) - dq_cauchy_stress (Cauchy stress term in QP) - dq_def_grad (deformation gradient term) - dw_lin_prestress (linear prestress term) - dw_surface_mass_scalar_w (weighted surface scalar mass term) - de_biot_stress (averaged Biot stress term) - di_surface_moment (surface moment term) .. _2009.4-2010.1: from 2009.4 to 2010.1 ===================== - new sphinx-based documentation - major branches merged: - 'interp' branch: interpolation between different meshes - 'shape' branch: shape optimization in optimal flow problems - fast evaluation (in C) of Lagrange base functions: - new sfepy/fem/poly_spaces.py, tests/test_fem.py - new GeometryElement class: - tensor product geometry now in [0, 1] instead of [-1, 1] - remove sfepy/eldesc/* - clean-up of examples and meshes - examples: - perfusion in the total Lagrangian (TL) formulation - active fibres in the TL formulation - homogenization: - new examples: - linear elasticity, micro-macro coupling + test, micro-recovery - updated homogenization engine: - support for coefficients summing - improved saving of correctors - new acoustic and perfusion homogenized coefficients - data probing: - automatic refinement of probe points - speed-up: - point caching, use cKDTree for speed - generate_probes() can reuse problem, probes, etc. - new PointsProbe data probe - update generate_probes() for multiple probe hooks - postprocessing and visualization: - VTK source construction for any format supported by MeshIO classes - HDF5FileSource -> GenericFileSource - new GenericSequenceFileSource - graphical logging: - support logging to a text file, vertical line plot (see live_plot.py) - update Log and ProcessPlotter for several Log instances - Log class: wait until figure save is acknowledged - convergence log support in Newton and Oseen solvers - schroedinger: components of V evaluated point-wise in QPs - miscellaneous updates: - new --save-regions-as-groups option in simple.py - move and update functions from extractor.py into time_history.py - Oseen solver: leave setup of stabilization parameters to user - allow also 'dq', 'de' call modes in InstantaneousBase._call() - split termsHyperElasticity.py to base, TL and UL parts - utilities for work with units of physical quantities: - new sfepy/mechanics/units.py - functions to compute tensor-related quantities usual in continuum mechanics: - new sfepy/mechanics/tensors.py - many bug fixes - new terms: - d_surface (surface of a subdomain) - dw_volume_integrate_variable (volume integration a variable coefficient) - dw_diffusion_r (diffusion-like term) - TL formulation terms: - dw_tl_fib_a (hyperelastic active fibres) - dw_tl_bulk_pressure (hyperelastic bulk pressure) - dw_tl_volume (volume) - dw_tl_diffusion (diffusion with deformation-dependent permeability) - dw_tl_surface_traction (surface traction) - acoustic terms: - dw_acoustic (acoustic term) - d_acoustic_surface (acoustic surface term (in-plane directions)) - d_acoustic_alpha (evaluation of acoustic term (in-plane directions)) - dw_acoustic_integrate (integration of acoustic term (in-plane directions)) - terms for sensitivity analysis: - d_sa_acoustic_alpha, d_sa_acoustic_alpha2, d_sa_acoustic_z, d_sa_acoustic_z2 .. _2009.3-2009.4: from 2009.3 to 2009.4 ===================== - major branches merged: - 'ulf' branch: updated Lagrangian (UL) formulation - 'functions' branch: - unified passing extra arguments to boundary condition, material, and region functions - physical quadrature point generation - unified/improved handling of material parameters in terms: - all material parameters defined in physical quadrature points - all terms updated, some terms were coalesced into one - 'porous' branch: homogenized porous media - input file keywords: - new 'functions' keyword - simplifications & unifications: - results of all time steps of an evolutionary problem can be saved to a single HDF5 file - enable passing variables data to ProblemDefinition.solve() - runTests.py: allow multiple test files as command line arguments - Viewer.call_mlab() split and refactored - short syntax for periodic boundary conditions - simplified input file syntax of materials - postprocessing and visualization: - using FileSource class abstracts the particular format for storing results: - VTK, HDF5 supported now - support for file sequences (evolutionary simulations) - time step selection for HDF5 (single) and VTK (sequence) files - animations (using ffmpeg) - minimalistic ViewerGUI - show scalar bars - various vector plotting modes - watch results file (HDF5) and add time steps as they are saved - listing data ranges works offscreen, summary for file sequence - sfepy_gui.py: Mayavi2-based GUI to launch simulations - changes aimed at interactive work: - Domain, Region, Field creation refactoring - data probing - postprocessing mode: - read a previously probed data from the probe text file, re-plot them, and integrate them along the probe - graphical logging: - dynamic adding of data groups (new axes) to Log and ProcessPlotter - many bug fixes, namely: - fix import_file() for multiple imports - fix saving results with piece-wise constant (Q0) approximation - miscellaneous updates: - quasistatic time stepping - new zero-order elements: 3_4_P0, 3_8_Q0 - more elastic tensor construction functions: - elastic tensor from Young's modulus and Poisson's ratio - elastic tensors for use in mixed formulation - setting of parameter variables by a user-defined function - gen_block_mesh() can generate also 2D meshes - reversed Cuthill-McKee permutation algorithm, graph in-place permutation - new terms: - dw_volume_wdot_scalar_eth (exponential decay dot product convolution term) - dw_biot_eth (exponential decay Biot convolution term) - dw_lin_elastic_eth (exponential decay elastic convolution term) - updated Lagrangian (UL) formulation terms: - dw_ul_bulk_penalty, dw_ul_he_neohook, dw_ul_he_mooney_rivlin .. _2009.2-2009.3: from 2009.2 to 2009.3 ===================== - basic support for Windows installation via numpy distutils (finally!): - installation using standard "python setup.py install"... - postproc.py: - quite usable now for fast first glance at the results - plots point, cell data of all kinds (scalar, vector, tensor) - draw iso-surface in 3D mode - fixed filename in Viewer for femhub notebook - new options: --scalar-mode, --list-names, --only-names, --rel-text-width, --no-show, --roll, --view, --all, --layout, -o - cylindergen.py: - cylindrical mesh generator - probe.py: - can probe selected quantities only - new options: --only-names, --auto-dir, --same-dir - isfepy: - new options: --no-wx, --no-viewer - phono: basic support for liquid inclusions - support for inner band gaps detection (brute force) and plotting - homogenization: added new-style piezo-elastic corrector and coefficient classes - schroedinger: fixed charge density computation - solvers: - added SciPy direct sparse solvers (ls.scipy_direct) - unified umfpack, superlu - new terms: - de_grad (element average of gradient) - d_volume_surface (compute volume using surface integral) - dw_bc_newton (Newton boundary condition) - dq_state_in_volume_qp, dq_state_in_surface_qp (interpolating state into quadrature points) - dw_surface_integrate_variable (weak surface term with variable coefficient) .. _2009.1-2009.2: from 2009.1 to 2009.2: ====================== - scripts: - added probe.py - a script to probe and plot results saved in result files - data probes along geometrical objects (e.g. lines, rays) intersecting the mesh - added postproc.py - a script to visualize results saved in result files - added Viewer class - 3D plots using mayavi2 - rudimentary automatic mode only - added isfepy (interactive sfepy) IPython shell - uses new pde_solve(), pre-imports mayavi2 based Viewer - short input syntax for LCBC conditions, fields, integrals, materials and solvers - automatic html documentation generation via doxygen - new mesh readers: - Nastran (.bdf) format - Abaqus ascii (.inp) - new example problems: - subdomains.py + test - test dw_jump interface term - stabilized_navier_stokes.py input + test - test Oseen solver - acoustics.py + test - compute complex acoustic pressure - solvers: - changed API of nonlinear solvers so that scipy solvers can be used - added Broyden and Anderson nonlinear solvers (SciPy implementation) - updated Oseen solver - major rewrite of handling of dof connectivities, matrix graph and term geometries: - lots of dof connectivity related code was simplified/removed - extra connectivity data (surface, point) computed on demand in Variables.setup_dof_conns() - support for terms with traces of variables on interface regions - surface data computation for terms of volume dof_conn and Surface geometry - extended syntax of equations to allow boundary traces of variables: - to use when a field value at an interface boundary is needed from the neighbouring subdomain side and the field is not defined there - example: dw_jump.isurf.Gamma12_1( jump1.val, q1, p1, tr(p2) ) - refactored linear combination boundary conditions (LCBC) code: - fixed rigid LCBC for multi-field problems - added no penetration LCBC - major speed-up (several orders) of LCBC operator construction - assembled via the coo_matrix instead of the lil_matrix - fixed check_tangent_matrix() for LCBC - applications: - homogenization: - prefactorize the matrix for linear corrector problems - major speed-up - phononic materials: - plot also middle eigenvalues in 3D, fixed plot labels, polarization angles - caching of eigenvalue problem solution and Christoffel acoustic tensor - schroedinger.py: - choose and call DFT solver via solver interface - general: - fixed boundary quadrature points for multi-field problems - fixed complex assembling - fixed live plotting (ProcessPlotter) for multi-core machines - improved Output class, simplified its usage - Struct.__str__() prints in alphabetical order - unified version information by introducing sfepy.__version__ - polished MeshIO class - implemented region selection by node groups - refactored Mesh nodes, lots of simplifications - many small fixes and updates - new terms: - dw_jump (scalar interface jump term) - dw_surface_mass_scalar (scalar mass on a surface boundary) .. _2008.4-2009.1: from 2008.4 to 2009.1: ====================== - new solvers: - simple backtracking steepest descent optimization solver - PETSc Krylov solvers via petsc4py, sequential mode - LOBPCG eigenvalue solver (SciPy implementation) - new mesh readers: - mesh3d (hermes3d) - AVS UCD ascii mesh - Hypermesh ascii mesh - homogenization: - MiniAppBase base class for "mini-applications": micro-problem correctors, homogenized coefficients - unified approach to resolve data dependencies: HomogenizationEngine class - applications: - phononic materials: - dispersion analysis, phase velocity computation for phononic materials - homogenized coefficients computed via the HomogenizationEngine - caching of coefficients to speed up parametric runs - schroedinger.py: - all functionality moved into SchroedingerApp class - inherits from SimpleApp -> can be parametrized - fixed DFT iterations, iteration plot saving - basic smearing around Fermi limit - scripts: - convert_mesh.py: - --scale option, support different scaling for each axis - general: - terms, caches now imported dynamically by load_classes() - to add a new term/cache module just put it into sfepy/terms/ - better setup of Application options - automatic option update in parametric studies - default configuration options for the linear, nonlinear and eigen- solvers - various 64bit fixes - allow empty output prefix, combined output to file and terminal - new terms: - dw_electric_source (electric source term) .. _00.50.00-2008.4: from 00.50.00 to 2008.4: ======================== - framework for running parametric studies - allow time derivatives of variables as term arguments - example (transient diffusion): """dw_mass_scalar.i1.Omega( s, dT/dt ) + dw_laplace.i1.Omega( coef.val, s, T ) = 0""" - initial conditions via ics, ic_ keywords - enhanced acoustic band gaps code - dispersion analysis (polarization angle calculation) - applied load tensor computation - phase velocity computation for periodic perforated media with empty holes - term base classes - actual term code reduced significantly - adding new terms is even easier now - type of term arguments determined fully at run-time - many terms were unified - the same term can be used both for the finite element assembling and the evaluation of the weak form for known fields (dw_ = d_) - live plotting using multiprocessing module - assumes GTKAgg matplotlib backend - support for setting x axis values and labels and y labels - figure saving - printing messages: Output class - homogenized coefficients classes prototypes - improved schroedinger.py - plotting DFT iterations - created sfepy/mechanics - conversions of elastic constants and transformations to plane - float format used for saving results can be set by the 'float_format' option - new terms: - dw_piezo_coupling (piezo-electric coupling term) - dw_biot (Biot coupling term, former dw_biot_div, dw_biot_grad, ...) - dw_stokes (Stokes coupling term, former dw_div, dw_grad, ...) - dw_lin_elastic_th (linear elasticity fading memory, former dw_lin_viscous_th) - dw_biot_th (Biot fading memory terms unified) .. _00.46.02-00.50.00: from 00.46.02 to 00.50.00: ========================== - finite strain elasticity: neo-Hookean, Mooney-Rivlin materials - total Lagrangian (TL) formulation - geometric data via finite_strain_tl DataCache - solving problems in complex numbers - generalized equations to allow linear combination of terms - example: """2 * aterm.i1.Omega( v, u ) = - 3.0 * bterm.i1.Omega2( v, u )""" - run-time type of state term arguments - removed all *_r terms, now useless - 'elements by function( domain )' region selector - refactoring to follow Python coding style guidelines - history support in variables - MeshIO.read_dimension() to quickly get dimension in an input file - improved site_cfg_template.py - improved schroedinger.py - new terms: - de_average_variable (average a variable in elements) - dw_surface_integrate (integrate over surface operator) - dw_tl_bulk_penalty (bulk penalty in TL formulation) - dw_tl_he_neohook (neo-Hooekan term in TL formulation) - dw_tl_he_mooney_rivlin (Mooney-Rivlin term in TL formulation) .. _00.41.03-00.46.02: from 00.41.03 to 00.46.02: ========================== - alternative short syntax for specifying essential boundary conditions, variables and regions - saving results per variable (useful when variables defined in different subdomains) - manufactured solutions tests: - SymPy support - new eigenvalue solvers: - removed symeig dependence - linear solvers based on PyAMG - simple block mesh generator - unified HDF5 mesh/solution reading/writing - site configuration now via script/config.py + site_cfg.py - example: computing homogenized elastic coefficients - new terms and lots of reorganization: - Biot terms - some fading memory terms .. _00.35.01-00.41.03: from 00.35.01 to 00.41.03: ========================== - works on 64 bits - support for various mesh formats: - medit: .mesh - text VTK: .vtk - tetgen: .node + .ele - comsol: .txt - Schroedinger equation solver - run via 'schroedinger.py' - input files: - new syntax for variables and boundary conditions - improved handling of degrees of freedom - more descriptive (and less) test and simulation messages - new handling of approximations (-> lots of thing simplified) - material parameters can be defined in mesh vertices - simple.py: allow user-specified postProcessHook function - documentation generation via prettydoc - new solvers: - generic time-dependent problem solver - pysparse, symeig, scipy-based eigenproblem solvers - scipy-based iterative solvers - new terms: - dw_volume_integrate (volume integral operator) - dw_mass_scalar_r (rhs for time-dependent Poisson problem) - di_volume_integrate_mat (integrate material parameters) - dw_volume_wdot and related terms (weighted dot product) - dw_mass_scalar_variable (scalar mass term with variable coefficients) - dw_lin_elastic and related terms (anisotropic linear elasticity) - dw_lin_viscous (linear viscosity) - de_cauchy_stress (element-averaged Cauchy stress) from 00.31.06 to 00.35.01: ========================== - per term integration, major rewrite of sfe.fem and related: - term.integral.domain( arguments ) syntax - 'integral_*' keyword for input files - each term can use its own quadrature points - 'field' keyword syntax changed - minor: - genDocs.py: PDF term documentation generator from 00.26.01 to 00.31.06: ========================== - acoustic band gaps determination: - zones of frequencies where elastic waves do not propagate - based on homogenization of material made of small inclusions periodically embedded in an elastic matrix - run via 'eigen.py' - general linear combination boundary conditions - 'lcbc' keyword: - rigid body motion constraint imposed on regions - new Solver classes, solver reorganization: - all solvers now configured in a uniform way ('solver_[0-9]+' keywords) - specify solvers using 'options' keyword - new terms: - dot product in a volume or on a surface region - vector field mass term - scalar field "mass", fine-coarse scalar "mass" terms: - used for coarse mesh -> fine mesh interpolation of scalar fields - minor: - added updated findSurf.py into distribution - extract surface from a mesh - script/kill_* - script/writeMesh2D.m - script/writeSparseMatrixHDF5.m from 00.22.02 to 00.26.01: ========================== - testing framework (in the spirit of unit tests): - particularly tests that standard input files work - runTests.py: output filtering - linear spring term (kind of a relaxed Dirichlet BC on node displacements) - volume term - Laplace term in 2D - chained periodic boundary conditions resolving - new options for simple.py: --save-field-meshes, --solve-not - periodic mesh merger (genPerMesh.py) - minor: - improved region saving - growing term data cache - sparse matrix saving into HDF5 - point dof connectivity and geometry - region handling improvements (canCells flag) - nonlinear solver status reporting - distribution: test and example meshes included in the release tarball sfepy-release_2015.1/doc/release_tasks.rst000066400000000000000000000044641247364230400205710ustar00rootroot00000000000000Release Tasks ============= A few notes on what to do during a release. Things to check before a release -------------------------------- #. synchronize module documentation (dry run):: $ ./script/sync_module_docs.py doc/src/ . -n #. regenerate gallery page and examples:: $ script/gen_gallery.py -l ../doc-devel $ rm -rf doc/examples/ $ cp -a gallery/examples/ doc/ #. create temporary/testing tarball:: $ python setup.py sdist #. check in-place build:: $ # unpack the tarball $ # cd into $ python setup.py build_ext --inplace $ ./test_install.py #. check that documentation can be built:: $ # copy site_cfg.py $ python setup.py htmldocs $ firefox doc/_build/html/index.html or use:: $ cd doc/ $ make html $ firefox _build/html/index.html try also:: $ # copy gallery/images $ python setup.py pdfdocs #. check installed build:: $ python setup.py install --root= $ cd $ run_tests.py $ rm -r output/ then remove the installed files so that they do not interfere with the local build #. create final tarball * update doc/release_notes.rst * update doc/news.rst, doc/archived_news.rst * change version number (sfepy/version.py) so that previous release tarball is not overwritten! * set ``is_release = True`` in site_cfg.py * update pdfdocs:: $ python setup.py pdfdocs * create tarball:: $ python setup.py sdist Useful Git commands ------------------- * log :: git log --pretty=format:"%s%n%b%n" release_2009.1..HEAD * who has contributed since :: git log --after= | grep Author | sort | uniq git log release_2012.1..HEAD | grep Author | sort -k3 | uniq git shortlog -s -n release_2012.3..HEAD git rev-list --committer="Name Surname" --since=6.months.ago HEAD | wc git rev-list --author="Name Surname" --since=6.months.ago HEAD | wc # ?no-merges * misc:: git archive --format=tar HEAD | gzip > name.tar.gz Web update and file uploading ----------------------------- * upload the tarball to http://sfepy.org/doc-devel/downloads.html * publish development docs also as new release docs * send announcement to * sfepy-devel@googlegroups.com, scipy-dev@scipy.org, scipy-user@scipy.org, python-announce-list@python.org sfepy-release_2015.1/doc/sfepy_theme/000077500000000000000000000000001247364230400175125ustar00rootroot00000000000000sfepy-release_2015.1/doc/sfepy_theme/theme.conf000066400000000000000000000001111247364230400214540ustar00rootroot00000000000000[theme] inherit = basic stylesheet = sfepy.css pygments_style = friendly sfepy-release_2015.1/doc/solving_pdes_by_fem.rst000066400000000000000000000167011247364230400217560ustar00rootroot00000000000000.. include:: links.inc .. _sec-solving-pdes-fem: Notes on solving PDEs by the Finite Element Method -------------------------------------------------- The Finite Element Method (FEM) is the numerical method for solving Partial Differential Equations (PDEs). FEM was developed in the middle of XX. century and now it is widely used in different areas of science and engineering, including mechanical and structural design, biomedicine, electrical and power design, fluid dynamics and other. FEM is based on a very elegant mathematical theory of weak solution of PDEs. In this section we will briefly discuss basic ideas underlying FEM. .. _poisson-weak-form-tutorial: Strong form of Poisson's equation and its integration ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Let us start our discussion about FEM with the strong form of Poisson's equation .. math:: :label: eq_spoisson \Delta T = f(x), \quad x \in \Omega, .. math:: :label: eq_spoisson_dbc T = u(x), \quad x \in \Gamma_D, .. math:: :label: eq_spoisson_nbc \nabla T \cdot \mathbf{n} = g(x), \quad x \in \Gamma_N, where :math:`\Omega \subset \mathbb{R}^n` is the solution domain with the boundary :math:`\partial \Omega`, :math:`\Gamma_D` is the part of the boundary where Dirichlet boundary conditions are given, :math:`\Gamma_N` is the part of the boundary where Neumann boundary conditions are given, :math:`T(x)` is the unknown function to be found, :math:`f(x), u(x), g(x)` are known functions. FEM is based on a weak formulation. The weak form of the equation :eq:`eq_spoisson` is .. math:: \int\limits_{\Omega} (\Delta T - f) \cdot s \, \mathrm{d}\Omega = 0, where :math:`s` is a **test** function. Integrating this equation by parts .. math:: 0 = \int\limits_{\Omega} (\Delta T - f) \cdot s \, \mathrm{d}\Omega = \int\limits_{\Omega} \nabla \cdot (\nabla T) \cdot s \, \mathrm{d}\Omega - \int_{\Omega} f \cdot s \, \mathrm{d}\Omega = .. math:: = - \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega + \int\limits_{\Omega} \nabla \cdot (\nabla T \cdot s) \, \mathrm{d}\Omega - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega and applying Gauss theorem we obtain: .. math:: 0 = - \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega + \int\limits_{\Gamma_D \cup \Gamma_N} \!\!\!\! s \cdot (\nabla T \cdot \mathbf{n}) \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega or .. math:: \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega = \int\limits_{\Gamma_D \cup \Gamma_N} \!\!\!\! s \cdot (\nabla T \cdot \mathbf{n}) \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega. The surface integral term can be split into two integrals, one over the Dirichlet part of the surface and second over the Neumann part .. math:: :label: eq_wpoisson_full \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega = \int\limits_{\Gamma_D} s \cdot (\nabla T \cdot \mathbf{n}) \, \mathrm{d}\Gamma + \int\limits_{\Gamma_N} s \cdot (\nabla T \cdot \mathbf{n}) \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega. The equation :eq:`eq_wpoisson_full` is the initial weak form of the Poisson's problem :eq:`eq_spoisson`--:eq:`eq_spoisson_nbc`. But we can not work with it without applying the boundary conditions. So it is time to talk about the boundary conditions. Dirichlet Boundary Conditions """"""""""""""""""""""""""""" On the Dirichlet part of the surface we have two restrictions. One is the Dirichlet boundary conditions :math:`T(x) = u(x)` as they are, and the second is the integral term over :math:`\Gamma_D` in equation :eq:`eq_wpoisson_full`. To be consistent we have to use only the Dirichlet conditions and avoid the integral term. To implement this we can take the function :math:`T \in V(\Omega)` and the test function :math:`s \in V_0(\Omega)`, where .. math:: V(\Omega) = \{f(x) \in H^1(\Omega)\}, .. math:: V_0(\Omega) = \{f(x) \in H^1(\Omega); f(x) = 0, x \in \Gamma_D\}. In other words the unknown function :math:`T` must be continuous together with its gradient in the domain. In contrast the test function :math:`s` must be also continuous together with its gradient in the domain but it should be zero on the surface :math:`\Gamma_D`. With this requirement the integral term over Dirichlet part of the surface is vanishing and the weak form of the Poisson equation for :math:`T \in V(\Omega)` and :math:`s \in V_0(\Omega)` becomes .. math:: \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega = \int\limits_{\Gamma_N} s \cdot (\nabla T \cdot \mathbf{n}) \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega, T(x) = u(x), \quad x \in \Gamma_D. That is why Dirichlet conditions in FEM terminology are called **Essential Boundary Conditions**. These conditions are not a part of the weak form and they are used as they are. Neumann Boundary Conditions """"""""""""""""""""""""""" The Neumann boundary conditions correspond to the known flux :math:`g(x) = \nabla T \cdot \mathbf{n}`. The integral term over the Neumann surface in the equation :eq:`eq_wpoisson_full` contains exactly the same flux. So we can use the known function :math:`g(x)` in the integral term: .. math:: \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega = \int\limits_{\Gamma_N} g \cdot s \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega, where test function :math:`s` also belongs to the space :math:`V_0`. That is why Neumann conditions in FEM terminology are called **Natural Boundary Conditions**. These conditions are a part of weak form terms. The weak form of the Poisson's equation ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Now we can write the resulting weak form for the Poisson's problem :eq:`eq_spoisson`--:eq:`eq_spoisson_nbc`. For any test function :math:`s \in V_0(\Omega)` find :math:`T \in V(\Omega)` such that .. math:: :label: eq_wpoisson_final \boxed { \begin{split} \int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega & = \int\limits_{\Gamma_N} g \cdot s \, \mathrm{d}\Gamma - \int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega, \quad \mbox{and}\\ T(x) & = u(x), \quad x \in \Gamma_D. \end{split} } Discussion of discretization and meshing ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ It is planned to have an example of the discretization based on the Poisson's equation weak form :eq:`eq_wpoisson_final`. For now, please refer to the wikipedia page `Finite Element Method`_ for a basic description of the disretization and meshing. Numerical solution of the problem ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ To solve numerically given problem based on the weak form :eq:`eq_wpoisson_final` we have to go through 5 steps: #. Define geometry of the domain :math:`\Omega` and surfaces :math:`\Gamma_D` and :math:`\Gamma_N`. #. Define the known functions :math:`f`, :math:`u` and :math:`g`. #. Define the unknown function :math:`T` and the test functions :math:`s`. #. Define essential boundary conditions (Dirichlet conditions) :math:`T(x) = u(x), x \in \Gamma_D.` #. Define equation and natural boundary conditions (Neumann conditions) as the set of all integral terms :math:`\int\limits_{\Omega} \nabla T \cdot \nabla s \, \mathrm{d}\Omega`, :math:`\int\limits_{\Gamma_N} g \cdot s \, \mathrm{d}\Gamma`, :math:`\int\limits_{\Omega} f \cdot s \, \mathrm{d}\Omega`. sfepy-release_2015.1/doc/sphinxext/000077500000000000000000000000001247364230400172345ustar00rootroot00000000000000sfepy-release_2015.1/doc/sphinxext/ipython_console_highlighting.py000066400000000000000000000053061247364230400255530ustar00rootroot00000000000000from pygments.lexer import Lexer, do_insertions from pygments.lexers.agile import PythonConsoleLexer, PythonLexer, \ PythonTracebackLexer from pygments.token import Comment, Generic from sphinx import highlighting import re line_re = re.compile('.*?\n') class IPythonConsoleLexer(Lexer): """ For IPython console output or doctests, such as: Tracebacks are not currently supported. .. sourcecode:: ipython In [1]: a = 'foo' In [2]: a Out[2]: 'foo' In [3]: print a foo In [4]: 1 / 0 """ name = 'IPython console session' aliases = ['ipython'] mimetypes = ['text/x-ipython-console'] input_prompt = re.compile("(In \[[0-9]+\]: )|( \.\.\.+:)") output_prompt = re.compile("(Out\[[0-9]+\]: )|( \.\.\.+:)") continue_prompt = re.compile(" \.\.\.+:") tb_start = re.compile("\-+") def get_tokens_unprocessed(self, text): pylexer = PythonLexer(**self.options) tblexer = PythonTracebackLexer(**self.options) curcode = '' insertions = [] for match in line_re.finditer(text): line = match.group() input_prompt = self.input_prompt.match(line) continue_prompt = self.continue_prompt.match(line.rstrip()) output_prompt = self.output_prompt.match(line) if line.startswith("#"): insertions.append((len(curcode), [(0, Comment, line)])) elif input_prompt is not None: insertions.append((len(curcode), [(0, Generic.Prompt, input_prompt.group())])) curcode += line[input_prompt.end():] elif continue_prompt is not None: insertions.append((len(curcode), [(0, 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plot_times :members: :undoc-members: sfepy-release_2015.1/doc/src/script/save_basis.rst000066400000000000000000000001641247364230400221470ustar00rootroot00000000000000script/save_basis.py script =========================== .. automodule:: save_basis :members: :undoc-members: sfepy-release_2015.1/doc/src/script/show_authors.rst000066400000000000000000000001721247364230400225540ustar00rootroot00000000000000script/show_authors.py script ============================= .. automodule:: show_authors :members: :undoc-members: sfepy-release_2015.1/doc/src/script/show_terms_use.rst000066400000000000000000000002001247364230400230650ustar00rootroot00000000000000script/show_terms_use.py script =============================== .. automodule:: show_terms_use :members: :undoc-members: sfepy-release_2015.1/doc/src/script/sync_module_docs.rst000066400000000000000000000002061247364230400233560ustar00rootroot00000000000000script/sync_module_docs.py script ================================= .. automodule:: sync_module_docs :members: :undoc-members: sfepy-release_2015.1/doc/src/script/tile_periodic_mesh.rst000066400000000000000000000002141247364230400236530ustar00rootroot00000000000000script/tile_periodic_mesh.py script =================================== .. automodule:: tile_periodic_mesh :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/000077500000000000000000000000001247364230400171175ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/applications/000077500000000000000000000000001247364230400216055ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/applications/application.rst000066400000000000000000000002341247364230400246410ustar00rootroot00000000000000sfepy.applications.application module ===================================== .. automodule:: sfepy.applications.application :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/applications/pde_solver_app.rst000066400000000000000000000002451247364230400253420ustar00rootroot00000000000000sfepy.applications.pde_solver_app module ======================================== .. automodule:: sfepy.applications.pde_solver_app :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/000077500000000000000000000000001247364230400200315ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/base/base.rst000066400000000000000000000002341247364230400214740ustar00rootroot00000000000000sfepy.base.base module ====================== .. automodule:: sfepy.base.base :members: :undoc-members: .. autofunction:: sfepy.base.base.debug sfepy-release_2015.1/doc/src/sfepy/base/compat.rst000066400000000000000000000001651247364230400220500ustar00rootroot00000000000000sfepy.base.compat module ======================== .. automodule:: sfepy.base.compat :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/conf.rst000066400000000000000000000001571247364230400215130ustar00rootroot00000000000000sfepy.base.conf module ====================== .. automodule:: sfepy.base.conf :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/getch.rst000066400000000000000000000001621247364230400216540ustar00rootroot00000000000000sfepy.base.getch module ======================= .. automodule:: sfepy.base.getch :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/goptions.rst000066400000000000000000000001731247364230400224260ustar00rootroot00000000000000sfepy.base.goptions module ========================== .. automodule:: sfepy.base.goptions :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/ioutils.rst000066400000000000000000000001701247364230400222510ustar00rootroot00000000000000sfepy.base.ioutils module ========================= .. automodule:: sfepy.base.ioutils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/log.rst000066400000000000000000000001541247364230400213440ustar00rootroot00000000000000sfepy.base.log module ===================== .. automodule:: sfepy.base.log :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/log_plotter.rst000066400000000000000000000002041247364230400231110ustar00rootroot00000000000000sfepy.base.log_plotter module ============================= .. automodule:: sfepy.base.log_plotter :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/mem_usage.rst000066400000000000000000000001761247364230400225310ustar00rootroot00000000000000sfepy.base.mem_usage module =========================== .. automodule:: sfepy.base.mem_usage :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/parse_conf.rst000066400000000000000000000002011247364230400226730ustar00rootroot00000000000000sfepy.base.parse_conf module ============================ .. automodule:: sfepy.base.parse_conf :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/plotutils.rst000066400000000000000000000001761247364230400226260ustar00rootroot00000000000000sfepy.base.plotutils module =========================== .. automodule:: sfepy.base.plotutils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/reader.rst000066400000000000000000000001651247364230400220270ustar00rootroot00000000000000sfepy.base.reader module ======================== .. automodule:: sfepy.base.reader :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/resolve_deps.rst000066400000000000000000000002071247364230400232540ustar00rootroot00000000000000sfepy.base.resolve_deps module ============================== .. automodule:: sfepy.base.resolve_deps :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/base/testing.rst000066400000000000000000000001701247364230400222360ustar00rootroot00000000000000sfepy.base.testing module ========================= .. automodule:: sfepy.base.testing :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/config.rst000066400000000000000000000001461247364230400211170ustar00rootroot00000000000000sfepy.config module =================== .. automodule:: sfepy.config :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/000077500000000000000000000000001247364230400207215ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/common/000077500000000000000000000000001247364230400222115ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/common/dof_info.rst000066400000000000000000000002341247364230400245250ustar00rootroot00000000000000sfepy.discrete.common.dof_info module ===================================== .. automodule:: sfepy.discrete.common.dof_info :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/common/domain.rst000066400000000000000000000002261247364230400242120ustar00rootroot00000000000000sfepy.discrete.common.domain module =================================== .. automodule:: sfepy.discrete.common.domain :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/common/fields.rst000066400000000000000000000002261247364230400242110ustar00rootroot00000000000000sfepy.discrete.common.fields module =================================== .. automodule:: sfepy.discrete.common.fields :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/common/mappings.rst000066400000000000000000000002341247364230400245600ustar00rootroot00000000000000sfepy.discrete.common.mappings module ===================================== .. automodule:: sfepy.discrete.common.mappings :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/common/region.rst000066400000000000000000000002261247364230400242260ustar00rootroot00000000000000sfepy.discrete.common.region module =================================== .. automodule:: sfepy.discrete.common.region :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/conditions.rst000066400000000000000000000002151247364230400236220ustar00rootroot00000000000000sfepy.discrete.conditions module ================================ .. automodule:: sfepy.discrete.conditions :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/equations.rst000066400000000000000000000002121247364230400234560ustar00rootroot00000000000000sfepy.discrete.equations module =============================== .. automodule:: sfepy.discrete.equations :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/evaluate.rst000066400000000000000000000002071247364230400232600ustar00rootroot00000000000000sfepy.discrete.evaluate module ============================== .. automodule:: sfepy.discrete.evaluate :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/evaluate_variable.rst000066400000000000000000000002421247364230400251240ustar00rootroot00000000000000sfepy.discrete.evaluate_variable module ======================================= .. automodule:: sfepy.discrete.evaluate_variable :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/000077500000000000000000000000001247364230400214705ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/fem/domain.rst000066400000000000000000000002151247364230400234670ustar00rootroot00000000000000sfepy.discrete.fem.domain module ================================ .. automodule:: sfepy.discrete.fem.domain :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/000077500000000000000000000000001247364230400231535ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/_fmfield.rst000066400000000000000000000002531247364230400254520ustar00rootroot00000000000000sfepy.discrete.fem.extmods._fmfield module ========================================== .. automodule:: sfepy.discrete.fem.extmods._fmfield :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/_geommech.rst000066400000000000000000000002561247364230400256330ustar00rootroot00000000000000sfepy.discrete.fem.extmods._geommech module =========================================== .. automodule:: sfepy.discrete.fem.extmods._geommech :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/assemble.rst000066400000000000000000000002531247364230400255000ustar00rootroot00000000000000sfepy.discrete.fem.extmods.assemble module ========================================== .. automodule:: sfepy.discrete.fem.extmods.assemble :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/bases.rst000066400000000000000000000002421247364230400250000ustar00rootroot00000000000000sfepy.discrete.fem.extmods.bases module ======================================= .. automodule:: sfepy.discrete.fem.extmods.bases :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/cmesh.rst000066400000000000000000000002421247364230400250020ustar00rootroot00000000000000sfepy.discrete.fem.extmods.cmesh module ======================================= .. automodule:: sfepy.discrete.fem.extmods.cmesh :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/lobatto_bases.rst000066400000000000000000000002721247364230400265270ustar00rootroot00000000000000sfepy.discrete.fem.extmods.lobatto_bases module =============================================== .. automodule:: sfepy.discrete.fem.extmods.lobatto_bases :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/extmods/mappings.rst000066400000000000000000000002531247364230400255230ustar00rootroot00000000000000sfepy.discrete.fem.extmods.mappings module ========================================== .. automodule:: sfepy.discrete.fem.extmods.mappings :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/facets.rst000066400000000000000000000002151247364230400234650ustar00rootroot00000000000000sfepy.discrete.fem.facets module ================================ .. automodule:: sfepy.discrete.fem.facets :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/fe_surface.rst000066400000000000000000000002311247364230400243200ustar00rootroot00000000000000sfepy.discrete.fem.fe_surface module ==================================== .. automodule:: sfepy.discrete.fem.fe_surface :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/fea.rst000066400000000000000000000002041247364230400227510ustar00rootroot00000000000000sfepy.discrete.fem.fea module ============================= .. automodule:: sfepy.discrete.fem.fea :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/fields_base.rst000066400000000000000000000002341247364230400244610ustar00rootroot00000000000000sfepy.discrete.fem.fields_base module ===================================== .. automodule:: sfepy.discrete.fem.fields_base :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/fields_hierarchic.rst000066400000000000000000000002561247364230400256540ustar00rootroot00000000000000sfepy.discrete.fem.fields_hierarchic module =========================================== .. automodule:: sfepy.discrete.fem.fields_hierarchic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/fields_nodal.rst000066400000000000000000000002371247364230400246470ustar00rootroot00000000000000sfepy.discrete.fem.fields_nodal module ====================================== .. automodule:: sfepy.discrete.fem.fields_nodal :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/geometry_element.rst000066400000000000000000000002531247364230400255660ustar00rootroot00000000000000sfepy.discrete.fem.geometry_element module ========================================== .. automodule:: sfepy.discrete.fem.geometry_element :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/global_interp.rst000066400000000000000000000002421247364230400250410ustar00rootroot00000000000000sfepy.discrete.fem.global_interp module ======================================= .. automodule:: sfepy.discrete.fem.global_interp :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/history.rst000066400000000000000000000002201247364230400237150ustar00rootroot00000000000000sfepy.discrete.fem.history module ================================= .. automodule:: sfepy.discrete.fem.history :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/lcbc_operators.rst000066400000000000000000000002451247364230400252240ustar00rootroot00000000000000sfepy.discrete.fem.lcbc_operators module ======================================== .. automodule:: sfepy.discrete.fem.lcbc_operators :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/linearizer.rst000066400000000000000000000002311247364230400243620ustar00rootroot00000000000000sfepy.discrete.fem.linearizer module ==================================== .. automodule:: sfepy.discrete.fem.linearizer :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/mappings.rst000066400000000000000000000002231247364230400240350ustar00rootroot00000000000000sfepy.discrete.fem.mappings module ================================== .. automodule:: sfepy.discrete.fem.mappings :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/mesh.rst000066400000000000000000000002071247364230400231550ustar00rootroot00000000000000sfepy.discrete.fem.mesh module ============================== .. automodule:: sfepy.discrete.fem.mesh :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/meshio.rst000066400000000000000000000002151247364230400235040ustar00rootroot00000000000000sfepy.discrete.fem.meshio module ================================ .. automodule:: sfepy.discrete.fem.meshio :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/periodic.rst000066400000000000000000000002231247364230400240150ustar00rootroot00000000000000sfepy.discrete.fem.periodic module ================================== .. automodule:: sfepy.discrete.fem.periodic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/poly_spaces.rst000066400000000000000000000002341247364230400245420ustar00rootroot00000000000000sfepy.discrete.fem.poly_spaces module ===================================== .. automodule:: sfepy.discrete.fem.poly_spaces :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/refine.rst000066400000000000000000000002151247364230400234700ustar00rootroot00000000000000sfepy.discrete.fem.refine module ================================ .. automodule:: sfepy.discrete.fem.refine :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/fem/utils.rst000066400000000000000000000002121247364230400233550ustar00rootroot00000000000000sfepy.discrete.fem.utils module =============================== .. automodule:: sfepy.discrete.fem.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/functions.rst000066400000000000000000000002121247364230400234560ustar00rootroot00000000000000sfepy.discrete.functions module =============================== .. automodule:: sfepy.discrete.functions :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/000077500000000000000000000000001247364230400214615ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/iga/domain.rst000066400000000000000000000002151247364230400234600ustar00rootroot00000000000000sfepy.discrete.iga.domain module ================================ .. automodule:: sfepy.discrete.iga.domain :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/domain_generators.rst000066400000000000000000000002561247364230400257160ustar00rootroot00000000000000sfepy.discrete.iga.domain_generators module =========================================== .. automodule:: sfepy.discrete.iga.domain_generators :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/extmods/000077500000000000000000000000001247364230400231445ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/discrete/iga/extmods/igac.rst000066400000000000000000000002371247364230400246030ustar00rootroot00000000000000sfepy.discrete.iga.extmods.igac module ====================================== .. automodule:: sfepy.discrete.iga.extmods.igac :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/fields.rst000066400000000000000000000002151247364230400234570ustar00rootroot00000000000000sfepy.discrete.iga.fields module ================================ .. automodule:: sfepy.discrete.iga.fields :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/iga.rst000066400000000000000000000002041247364230400227470ustar00rootroot00000000000000sfepy.discrete.iga.iga module ============================= .. automodule:: sfepy.discrete.iga.iga :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/io.rst000066400000000000000000000002011247364230400226130ustar00rootroot00000000000000sfepy.discrete.iga.io module ============================ .. automodule:: sfepy.discrete.iga.io :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/mappings.rst000066400000000000000000000002231247364230400240260ustar00rootroot00000000000000sfepy.discrete.iga.mappings module ================================== .. automodule:: sfepy.discrete.iga.mappings :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/plot_nurbs.rst000066400000000000000000000002311247364230400243760ustar00rootroot00000000000000sfepy.discrete.iga.plot_nurbs module ==================================== .. automodule:: sfepy.discrete.iga.plot_nurbs :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/iga/utils.rst000066400000000000000000000002121247364230400233460ustar00rootroot00000000000000sfepy.discrete.iga.utils module =============================== .. automodule:: sfepy.discrete.iga.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/integrals.rst000066400000000000000000000002121247364230400234360ustar00rootroot00000000000000sfepy.discrete.integrals module =============================== .. automodule:: sfepy.discrete.integrals :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/mass_operator.rst000066400000000000000000000002261247364230400243310ustar00rootroot00000000000000sfepy.discrete.mass_operator module =================================== .. automodule:: sfepy.discrete.mass_operator :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/materials.rst000066400000000000000000000002121247364230400234270ustar00rootroot00000000000000sfepy.discrete.materials module =============================== .. automodule:: sfepy.discrete.materials :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/parse_equations.rst000066400000000000000000000002341247364230400246540ustar00rootroot00000000000000sfepy.discrete.parse_equations module ===================================== .. automodule:: sfepy.discrete.parse_equations :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/parse_regions.rst000066400000000000000000000002261247364230400243130ustar00rootroot00000000000000sfepy.discrete.parse_regions module =================================== .. automodule:: sfepy.discrete.parse_regions :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/probes.rst000066400000000000000000000002011247364230400227360ustar00rootroot00000000000000sfepy.discrete.probes module ============================ .. automodule:: sfepy.discrete.probes :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/problem.rst000066400000000000000000000002041247364230400231070ustar00rootroot00000000000000sfepy.discrete.problem module ============================= .. automodule:: sfepy.discrete.problem :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/projections.rst000066400000000000000000000002201247364230400240040ustar00rootroot00000000000000sfepy.discrete.projections module ================================= .. automodule:: sfepy.discrete.projections :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/quadratures.rst000066400000000000000000000002201247364230400240050ustar00rootroot00000000000000sfepy.discrete.quadratures module ================================= .. automodule:: sfepy.discrete.quadratures :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/simplex_cubature.rst000066400000000000000000000002371247364230400250300ustar00rootroot00000000000000sfepy.discrete.simplex_cubature module ====================================== .. automodule:: sfepy.discrete.simplex_cubature :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/state.rst000066400000000000000000000001761247364230400225770ustar00rootroot00000000000000sfepy.discrete.state module =========================== .. automodule:: sfepy.discrete.state :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/discrete/variables.rst000066400000000000000000000002121247364230400234160ustar00rootroot00000000000000sfepy.discrete.variables module =============================== .. automodule:: sfepy.discrete.variables :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/000077500000000000000000000000001247364230400221515ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/homogenization/band_gaps_app.rst000066400000000000000000000002501247364230400254560ustar00rootroot00000000000000sfepy.homogenization.band_gaps_app module ========================================= .. automodule:: sfepy.homogenization.band_gaps_app :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/coefficients.rst000066400000000000000000000002451247364230400253450ustar00rootroot00000000000000sfepy.homogenization.coefficients module ======================================== .. automodule:: sfepy.homogenization.coefficients :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/coefs_base.rst000066400000000000000000000002371247364230400247760ustar00rootroot00000000000000sfepy.homogenization.coefs_base module ====================================== .. automodule:: sfepy.homogenization.coefs_base :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/coefs_elastic.rst000066400000000000000000000002501247364230400255030ustar00rootroot00000000000000sfepy.homogenization.coefs_elastic module ========================================= .. automodule:: sfepy.homogenization.coefs_elastic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/coefs_perfusion.rst000066400000000000000000000002561247364230400260770ustar00rootroot00000000000000sfepy.homogenization.coefs_perfusion module =========================================== .. automodule:: sfepy.homogenization.coefs_perfusion :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/coefs_phononic.rst000066400000000000000000000002531247364230400256770ustar00rootroot00000000000000sfepy.homogenization.coefs_phononic module ========================================== .. automodule:: sfepy.homogenization.coefs_phononic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/convolutions.rst000066400000000000000000000002451247364230400254460ustar00rootroot00000000000000sfepy.homogenization.convolutions module ======================================== .. automodule:: sfepy.homogenization.convolutions :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/engine.rst000066400000000000000000000002231247364230400241450ustar00rootroot00000000000000sfepy.homogenization.engine module ================================== .. automodule:: sfepy.homogenization.engine :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/homogen_app.rst000066400000000000000000000002421247364230400251750ustar00rootroot00000000000000sfepy.homogenization.homogen_app module ======================================= .. automodule:: sfepy.homogenization.homogen_app :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/micmac.rst000066400000000000000000000002231247364230400241310ustar00rootroot00000000000000sfepy.homogenization.micmac module ================================== .. automodule:: sfepy.homogenization.micmac :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/recovery.rst000066400000000000000000000002311247364230400245350ustar00rootroot00000000000000sfepy.homogenization.recovery module ==================================== .. automodule:: sfepy.homogenization.recovery :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/homogenization/utils.rst000066400000000000000000000002201247364230400240350ustar00rootroot00000000000000sfepy.homogenization.utils module ================================= .. automodule:: sfepy.homogenization.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/000077500000000000000000000000001247364230400203655ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/linalg/check_derivatives.rst000066400000000000000000000002341247364230400246000ustar00rootroot00000000000000sfepy.linalg.check_derivatives module ===================================== .. automodule:: sfepy.linalg.check_derivatives :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/eigen.rst000066400000000000000000000001701247364230400222040ustar00rootroot00000000000000sfepy.linalg.eigen module ========================= .. automodule:: sfepy.linalg.eigen :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/extmods/000077500000000000000000000000001247364230400220505ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/linalg/extmods/crcm.rst000066400000000000000000000002151247364230400235240ustar00rootroot00000000000000sfepy.linalg.extmods.crcm module ================================ .. automodule:: sfepy.linalg.extmods.crcm :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/geometry.rst000066400000000000000000000002011247364230400227430ustar00rootroot00000000000000sfepy.linalg.geometry module ============================ .. automodule:: sfepy.linalg.geometry :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/sparse.rst000066400000000000000000000001731247364230400224150ustar00rootroot00000000000000sfepy.linalg.sparse module ========================== .. automodule:: sfepy.linalg.sparse :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/linalg/utils.rst000066400000000000000000000001701247364230400222550ustar00rootroot00000000000000sfepy.linalg.utils module ========================= .. automodule:: sfepy.linalg.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/000077500000000000000000000000001247364230400210515ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/mechanics/contact_bodies.rst000066400000000000000000000002341247364230400245620ustar00rootroot00000000000000sfepy.mechanics.contact_bodies module ===================================== .. automodule:: sfepy.mechanics.contact_bodies :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/elastic_constants.rst000066400000000000000000000002451247364230400253240ustar00rootroot00000000000000sfepy.mechanics.elastic_constants module ======================================== .. automodule:: sfepy.mechanics.elastic_constants :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/matcoefs.rst000066400000000000000000000002121247364230400233770ustar00rootroot00000000000000sfepy.mechanics.matcoefs module =============================== .. automodule:: sfepy.mechanics.matcoefs :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/membranes.rst000066400000000000000000000002151247364230400235520ustar00rootroot00000000000000sfepy.mechanics.membranes module ================================ .. automodule:: sfepy.mechanics.membranes :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/tensors.rst000066400000000000000000000002071247364230400232770ustar00rootroot00000000000000sfepy.mechanics.tensors module ============================== .. automodule:: sfepy.mechanics.tensors :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mechanics/units.rst000066400000000000000000000002011247364230400227360ustar00rootroot00000000000000sfepy.mechanics.units module ============================ .. automodule:: sfepy.mechanics.units :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mesh/000077500000000000000000000000001247364230400200535ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/mesh/geom_tools.rst000066400000000000000000000002011247364230400227450ustar00rootroot00000000000000sfepy.mesh.geom_tools module ============================ .. automodule:: sfepy.mesh.geom_tools :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mesh/mesh_generators.rst000066400000000000000000000002201247364230400237640ustar00rootroot00000000000000sfepy.mesh.mesh_generators module ================================= .. automodule:: sfepy.mesh.mesh_generators :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mesh/mesh_tools.rst000066400000000000000000000002011247364230400227520ustar00rootroot00000000000000sfepy.mesh.mesh_tools module ============================ .. automodule:: sfepy.mesh.mesh_tools :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/mesh/splinebox.rst000066400000000000000000000001761247364230400226140ustar00rootroot00000000000000sfepy.mesh.splinebox module =========================== .. automodule:: sfepy.mesh.splinebox :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/optimize/000077500000000000000000000000001247364230400207575ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/optimize/free_form_def.rst000066400000000000000000000002261247364230400242730ustar00rootroot00000000000000sfepy.optimize.free_form_def module =================================== .. automodule:: sfepy.optimize.free_form_def :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/optimize/shape_optim.rst000066400000000000000000000002201247364230400240130ustar00rootroot00000000000000sfepy.optimize.shape_optim module ================================= .. automodule:: sfepy.optimize.shape_optim :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/physics/000077500000000000000000000000001247364230400206015ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/physics/potentials.rst000066400000000000000000000002121247364230400235100ustar00rootroot00000000000000sfepy.physics.potentials module =============================== .. automodule:: sfepy.physics.potentials :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/physics/schroedinger_app.rst000066400000000000000000000002341247364230400246460ustar00rootroot00000000000000sfepy.physics.schroedinger_app module ===================================== .. automodule:: sfepy.physics.schroedinger_app :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/000077500000000000000000000000001247364230400215035ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/postprocess/dataset_manager.rst000066400000000000000000000002451247364230400253550ustar00rootroot00000000000000sfepy.postprocess.dataset_manager module ======================================== .. automodule:: sfepy.postprocess.dataset_manager :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/domain_specific.rst000066400000000000000000000002451247364230400253520ustar00rootroot00000000000000sfepy.postprocess.domain_specific module ======================================== .. automodule:: sfepy.postprocess.domain_specific :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/plot_cmesh.rst000066400000000000000000000002261247364230400243720ustar00rootroot00000000000000sfepy.postprocess.plot_cmesh module =================================== .. automodule:: sfepy.postprocess.plot_cmesh :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/plot_dofs.rst000066400000000000000000000002231247364230400242230ustar00rootroot00000000000000sfepy.postprocess.plot_dofs module ================================== .. automodule:: sfepy.postprocess.plot_dofs :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/plot_facets.rst000066400000000000000000000002311247364230400245340ustar00rootroot00000000000000sfepy.postprocess.plot_facets module ==================================== .. automodule:: sfepy.postprocess.plot_facets :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/plot_quadrature.rst000066400000000000000000000002451247364230400254510ustar00rootroot00000000000000sfepy.postprocess.plot_quadrature module ======================================== .. automodule:: sfepy.postprocess.plot_quadrature :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/probes_vtk.rst000066400000000000000000000002261247364230400244130ustar00rootroot00000000000000sfepy.postprocess.probes_vtk module =================================== .. automodule:: sfepy.postprocess.probes_vtk :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/sources.rst000066400000000000000000000002151247364230400237160ustar00rootroot00000000000000sfepy.postprocess.sources module ================================ .. automodule:: sfepy.postprocess.sources :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/time_history.rst000066400000000000000000000002341247364230400247530ustar00rootroot00000000000000sfepy.postprocess.time_history module ===================================== .. automodule:: sfepy.postprocess.time_history :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/utils.rst000066400000000000000000000002071247364230400233740ustar00rootroot00000000000000sfepy.postprocess.utils module ============================== .. automodule:: sfepy.postprocess.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/utils_vtk.rst000066400000000000000000000002231247364230400242560ustar00rootroot00000000000000sfepy.postprocess.utils_vtk module ================================== .. automodule:: sfepy.postprocess.utils_vtk :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/postprocess/viewer.rst000066400000000000000000000002121247364230400235310ustar00rootroot00000000000000sfepy.postprocess.viewer module =============================== .. automodule:: sfepy.postprocess.viewer :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/000077500000000000000000000000001247364230400206145ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/solvers/eigen.rst000066400000000000000000000001731247364230400224360ustar00rootroot00000000000000sfepy.solvers.eigen module ========================== .. automodule:: sfepy.solvers.eigen :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/ls.rst000066400000000000000000000001621247364230400217630ustar00rootroot00000000000000sfepy.solvers.ls module ======================= .. automodule:: sfepy.solvers.ls :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/nls.rst000066400000000000000000000002121247364230400221350ustar00rootroot00000000000000sfepy.solvers.nls module ======================== .. automodule:: sfepy.solvers.nls :members: :undoc-members: :special-members: sfepy-release_2015.1/doc/src/sfepy/solvers/optimize.rst000066400000000000000000000002041247364230400232020ustar00rootroot00000000000000sfepy.solvers.optimize module ============================= .. automodule:: sfepy.solvers.optimize :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/oseen.rst000066400000000000000000000001731247364230400224600ustar00rootroot00000000000000sfepy.solvers.oseen module ========================== .. automodule:: sfepy.solvers.oseen :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/petsc_worker.rst000066400000000000000000000002201247364230400240470ustar00rootroot00000000000000sfepy.solvers.petsc_worker module ================================= .. automodule:: sfepy.solvers.petsc_worker :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/semismooth_newton.rst000066400000000000000000000002371247364230400251310ustar00rootroot00000000000000sfepy.solvers.semismooth_newton module ====================================== .. automodule:: sfepy.solvers.semismooth_newton :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/solvers.rst000066400000000000000000000002011247364230400230340ustar00rootroot00000000000000sfepy.solvers.solvers module ============================ .. automodule:: sfepy.solvers.solvers :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/ts.rst000066400000000000000000000001621247364230400217730ustar00rootroot00000000000000sfepy.solvers.ts module ======================= .. automodule:: sfepy.solvers.ts :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/solvers/ts_solvers.rst000066400000000000000000000002121247364230400235440ustar00rootroot00000000000000sfepy.solvers.ts_solvers module =============================== .. automodule:: sfepy.solvers.ts_solvers :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/000077500000000000000000000000001247364230400202515ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/terms/extmods/000077500000000000000000000000001247364230400217345ustar00rootroot00000000000000sfepy-release_2015.1/doc/src/sfepy/terms/extmods/terms.rst000066400000000000000000000002151247364230400236160ustar00rootroot00000000000000sfepy.terms.extmods.terms module ================================ .. automodule:: sfepy.terms.extmods.terms :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms.rst000066400000000000000000000001671247364230400221410ustar00rootroot00000000000000sfepy.terms.terms module ======================== .. automodule:: sfepy.terms.terms :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_acoustic.rst000066400000000000000000000002201247364230400240210ustar00rootroot00000000000000sfepy.terms.terms_acoustic module ================================= .. automodule:: sfepy.terms.terms_acoustic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_adj_navier_stokes.rst000066400000000000000000000002531247364230400257070ustar00rootroot00000000000000sfepy.terms.terms_adj_navier_stokes module ========================================== .. automodule:: sfepy.terms.terms_adj_navier_stokes :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_basic.rst000066400000000000000000000002071247364230400232750ustar00rootroot00000000000000sfepy.terms.terms_basic module ============================== .. automodule:: sfepy.terms.terms_basic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_biot.rst000066400000000000000000000002041247364230400231460ustar00rootroot00000000000000sfepy.terms.terms_biot module ============================= .. automodule:: sfepy.terms.terms_biot :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_constraints.rst000066400000000000000000000002331247364230400245620ustar00rootroot00000000000000sfepy.terms.terms_constraints module ==================================== .. automodule:: sfepy.terms.terms_constraints :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_diffusion.rst000066400000000000000000000002231247364230400242000ustar00rootroot00000000000000sfepy.terms.terms_diffusion module ================================== .. automodule:: sfepy.terms.terms_diffusion :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_dot.rst000066400000000000000000000002031247364230400227760ustar00rootroot00000000000000sfepy.terms.terms_dot module ============================ .. automodule:: sfepy.terms.terms_dot :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_elastic.rst000066400000000000000000000002151247364230400236370ustar00rootroot00000000000000sfepy.terms.terms_elastic module ================================ .. automodule:: sfepy.terms.terms_elastic :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_electric.rst000066400000000000000000000002201247364230400240010ustar00rootroot00000000000000sfepy.terms.terms_electric module ================================= .. automodule:: sfepy.terms.terms_electric :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_fibres.rst000066400000000000000000000002141247364230400234640ustar00rootroot00000000000000sfepy.terms.terms_fibres module =============================== .. automodule:: sfepy.terms.terms_fibres :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_hyperelastic_base.rst000066400000000000000000000002551247364230400257050ustar00rootroot00000000000000sfepy.terms.terms_hyperelastic_base module ========================================== .. automodule:: sfepy.terms.terms_hyperelastic_base :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_hyperelastic_tl.rst000066400000000000000000000002471247364230400254130ustar00rootroot00000000000000sfepy.terms.terms_hyperelastic_tl module ======================================== .. automodule:: sfepy.terms.terms_hyperelastic_tl :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_hyperelastic_ul.rst000066400000000000000000000002471247364230400254140ustar00rootroot00000000000000sfepy.terms.terms_hyperelastic_ul module ======================================== .. automodule:: sfepy.terms.terms_hyperelastic_ul :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_membrane.rst000066400000000000000000000002221247364230400237770ustar00rootroot00000000000000sfepy.terms.terms_membrane module ================================= .. automodule:: sfepy.terms.terms_membrane :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_navier_stokes.rst000066400000000000000000000002371247364230400250730ustar00rootroot00000000000000sfepy.terms.terms_navier_stokes module ====================================== .. automodule:: sfepy.terms.terms_navier_stokes :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_new.rst000066400000000000000000000002031247364230400230010ustar00rootroot00000000000000sfepy.terms.terms_new module ============================ .. automodule:: sfepy.terms.terms_new :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_piezo.rst000066400000000000000000000002071247364230400233420ustar00rootroot00000000000000sfepy.terms.terms_piezo module ============================== .. automodule:: sfepy.terms.terms_piezo :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_point.rst000066400000000000000000000002071247364230400233450ustar00rootroot00000000000000sfepy.terms.terms_point module ============================== .. automodule:: sfepy.terms.terms_point :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_surface.rst000066400000000000000000000002151247364230400236430ustar00rootroot00000000000000sfepy.terms.terms_surface module ================================ .. automodule:: sfepy.terms.terms_surface :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_th.rst000066400000000000000000000001761247364230400226340ustar00rootroot00000000000000sfepy.terms.terms_th module =========================== .. automodule:: sfepy.terms.terms_th :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/terms_volume.rst000066400000000000000000000002121247364230400235170ustar00rootroot00000000000000sfepy.terms.terms_volume module =============================== .. automodule:: sfepy.terms.terms_volume :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/terms/utils.rst000066400000000000000000000001671247364230400221470ustar00rootroot00000000000000sfepy.terms.utils module ======================== .. automodule:: sfepy.terms.utils :members: :undoc-members: sfepy-release_2015.1/doc/src/sfepy/version.rst000066400000000000000000000001511247364230400213330ustar00rootroot00000000000000sfepy.version module ==================== .. automodule:: sfepy.version :members: :undoc-members: sfepy-release_2015.1/doc/src/shaper.rst000066400000000000000000000001321247364230400200010ustar00rootroot00000000000000shaper.py script ================ .. automodule:: shaper :members: :undoc-members: sfepy-release_2015.1/doc/src/simple.rst000066400000000000000000000001321247364230400200100ustar00rootroot00000000000000simple.py script ================ .. automodule:: simple :members: :undoc-members: sfepy-release_2015.1/doc/src/test_install.rst000066400000000000000000000001541247364230400212300ustar00rootroot00000000000000test_install.py script ====================== .. automodule:: test_install :members: :undoc-members: sfepy-release_2015.1/doc/terms_overview.rst000066400000000000000000000101301247364230400210070ustar00rootroot00000000000000.. _term_overview: Term Overview ============= Term Syntax ----------- In general, the syntax of a term call is: .. centered:: ``..( , , ... )``, where ```` denotes an integral name (i.e. a name of numerical quadrature to use) and ```` marks a region (domain of the integral). The following notation is used: .. list-table:: Notation. :widths: 20 80 :header-rows: 1 * - symbol - meaning * - :math:`\Omega` - volume (sub)domain * - :math:`\Gamma` - surface (sub)domain * - :math:`d` - dimension of space * - :math:`t` - time * - :math:`y` - any function * - :math:`\ul{y}` - any vector function * - :math:`\ul{n}` - unit outward normal * - :math:`q`, :math:`s` - scalar test function * - :math:`p`, :math:`r` - scalar unknown or parameter function * - :math:`\bar{p}` - scalar parameter function * - :math:`\ul{v}` - vector test function * - :math:`\ul{w}`, :math:`\ul{u}` - vector unknown or parameter function * - :math:`\ul{b}` - vector parameter function * - :math:`\ull{e}(\ul{u})` - Cauchy strain tensor (:math:`\frac{1}{2}((\nabla u) + (\nabla u)^T)`) * - :math:`\ull{F}` - deformation gradient :math:`F_{ij} = \pdiff{x_i}{X_j}` * - :math:`J` - :math:`\det(F)` * - :math:`\ull{C}` - right Cauchy-Green deformation tensor :math:`C = F^T F` * - :math:`\ull{E}(\ul{u})` - Green strain tensor :math:`E_{ij} = \frac{1}{2}(\pdiff{u_i}{x_j} + \pdiff{u_j}{x_i} + \pdiff{u_m}{x_i}\pdiff{u_m}{x_j})` * - :math:`\ull{S}` - second Piola-Kirchhoff stress tensor * - :math:`\ul{f}` - vector volume forces * - :math:`f` - scalar volume force (source) * - :math:`\rho` - density * - :math:`\nu` - kinematic viscosity * - :math:`c` - any constant * - :math:`\delta_{ij}, \ull{I}` - Kronecker delta, identity matrix * - :math:`\tr{\ull{\bullet}}` - trace of a second order tensor (:math:`\sum_{i=1}^d \bullet_{ii}`) * - :math:`\dev{\ull{\bullet}}` - deviator of a second order tensor (:math:`\ull{\bullet} - \frac{1}{d}\tr{\ull{\bullet}}`) * - :math:`T_K \in \Tcal_h` - :math:`K`-th element of triangulation (= mesh) :math:`\Tcal_h` of domain :math:`\Omega` * - :math:`K \from \Ical_h` - :math:`K` is assigned values from :math:`\{0, 1, \dots, N_h-1\} \equiv \Ical_h` in ascending order The suffix ":math:`_0`" denotes a quantity related to a previous time step. Term names are (usually) prefixed according to the following conventions: .. list-table:: Term name prefixes. :widths: 5 20 25 50 :header-rows: 1 * - prefix - meaning - evaluation modes - meaning * - dw - discrete weak - `'weak'` - terms having a virtual (test) argument and zero or more unknown arguments, used for FE assembling * - d - discrete - `'eval'` - terms having all arguments known, the result is the scalar value of the integral * - di - discrete integrated - `'eval'` - like 'd' but the result is not a scalar (e.g. a vector) * - dq - discrete quadrature - `'qp'` - terms having all arguments known, the result are the values in quadrature points of elements * - ev - evaluate - `'eval'`, `'el_avg'`, `'qp'` - terms having all arguments known and supporting all evaluation modes except `'weak'` (no virtual variables in arguments, no FE assembling) .. _term_table: Term Table ---------- Below we list all the terms available in an automatically generated table. The first column lists the name, the second column the argument lists and the third column the mathematical definition of each term. The notation ```` corresponds to a test function, ```` to a unknown function and ```` to a known function. By ```` we denote material (constitutive) parameters, or, in general, any given function of space and time that parameterizes a term, for example a given traction force vector. .. include:: term_table.rst sfepy-release_2015.1/doc/theory.rst000066400000000000000000000005141247364230400172460ustar00rootroot00000000000000.. _sec-theoretical-background Theoretical Background ====================== This part introduces parts the theoretical mathematical background necessary to use SfePy effectively. It also discusses some implementation choices done in SfePy. Contents: .. toctree:: :maxdepth: 2 solving_pdes_by_fem ebcs_implementation sfepy-release_2015.1/doc/tutorial.rst000066400000000000000000000471151247364230400176070ustar00rootroot00000000000000.. include:: links.inc .. _sec-tutorial: Tutorial ======== .. contents:: Table of Contents :local: :backlinks: top *SfePy* can be used in two basic ways: #. a black-box partial differential equation (PDE) solver, #. a Python package to build custom applications involving solving PDEs by the finite element (FE) method. This tutorial focuses on the first way and introduces the basic concepts and nomenclature used in the following parts of the documentation. Check also the :doc:`primer` which focuses on a particular problem in detail. Users not familiar with the finite element method should start with the :ref:`sec-solving-pdes-fem`. Basic notions ------------- The simplest way of using *SfePy* is to solve a system of PDEs defined in a **problem description file**, also referred to as **input file**. In such a file, the problem is described using several keywords that allow one to define the equations, variables, finite element approximations, solvers, solution domain and subdomains etc., see :ref:`sec-problem-description-file` for a full list of those keywords. The syntax of the problem description file is very simple yet powerful, as the file itself is just a regular Python module that can be normally imported - no special parsing is necessary. The keywords mentioned above are regular Python variables (usually of the `dict` type) with special names. Below we show: #. how to solve a problem given by a problem description file, and #. explain the elements of the file on several examples. But let us begin with a slight detour... Sneak peek: what is going on under the hood ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ #. A top-level script (usually ``simple.py``, as in this tutorial) reads in an input file. #. Following the contents of the input file, a :class:`Problem ` instance is created - this is the input file coming to life. Let us call the instance ``problem``. * The ``problem`` sets up its domain, regions (various sub-domains), fields (the FE approximations), the equations and the solvers. The equations determine the materials and variables in use - only those are fully instantiated, so the input file can safely contain definitions of items that are not used actually. #. Prior to solution, ``problem.time_update()`` function has to be called to setup boundary conditions, material parameters and other potentially time-dependent data. This holds also for stationary problems with a single "time step". #. The solution is then obtained by calling ``problem.solve()`` function. #. Finally, the solution can be stored using ``problem.save_state()`` The above last three steps are essentially repeated for each time step. So that is it - using the code a black-box PDE solver shields the user from having to create the :class:`Problem ` instance by hand. But note that this is possible, and often necessary when the flexibility of the default solvers is not enough. At the end of the tutorial an example demonstrating the interactive creation of the ``problem`` is shown, see :ref:`sec-interactive-example-linear-elasticity`. Now let us continue with running a simulation. Running a simulation -------------------- The following commands should be run in the top-level directory of the *SfePy* source tree after compiling the C extension files. See :ref:`introduction_installation` for full installation instructions. .. _invoking_command_line: Invoking *SfePy* from the command line ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ This section introduces the basics of running *SfePy* on the command line. The ``$`` indicates the command prompt of your terminal. * The script ``simple.py`` is the most basic starting point in *SfePy*. It is invoked as follows:: $ ./simple.py examples/diffusion/poisson_short_syntax.py * ``examples/diffusion/poisson_short_syntax.py`` is the *SfePy* *problem description* file, which defines the problem to be solved in terms *SfePy* can understand * Running the above command creates the output file ``cylinder.vtk`` in the *SfePy* top-level directory * *SfePy* can also be invoked interactively using `IPython`_ with custom imports, as described in :ref:`using-ipython`. In the SfePy top-level directory, run:: $ ipython --profile=sfepy See :ref:`sec-interactive-example-linear-elasticity` for more information. .. _postprocessing: Postprocessing the results ^^^^^^^^^^^^^^^^^^^^^^^^^^ * The ``postproc.py`` script can be used for quick postprocessing and visualization of the *SfePy* output files. It requires mayavi2 installed on your system. * As a simple example, try:: $ ./postproc.py cylinder.vtk * The following interactive 3D window should display: .. image:: images/postproc_simple.png :width: 70 % :align: center * The left mouse button by itself orbits the 3D view * Holding shift and the left mouse button pans the view * Holding control and the left mouse button rotates about the screen normal axis * The right mouse button controls the zoom .. _poisson-example-tutorial: Example problem description file -------------------------------- Here we discuss the contents of the :download:`examples/diffusion/poisson_short_syntax.py <../examples/diffusion/poisson_short_syntax.py>` problem description file. For additional examples, see the problem description files in the ``examples/`` directory of *SfePy*. The problem at hand is the following: .. math:: :label: eq_laplace_static c \Delta T = f \mbox{ in }\Omega,\quad T(t) = \bar{T}(t) \mbox{ on } \Gamma \;, where :math:`\Gamma \subseteq \Omega` is a subset of the domain :math:`\Omega` boundary. For simplicity, we set :math:`f \equiv 0`, but we still work with the material constant :math:`c` even though it has no influence on the solution in this case. We also assume zero fluxes over :math:`\partial \Omega \setminus \Gamma`, i.e. :math:`\pdiff{T}{\ul{n}} = 0` there. The particular boundary conditions used below are :math:`T = 2` on the left side of the cylindrical domain depicted in the previous section and :math:`T = -2` on the right side. The first step to do is to write :eq:`eq_laplace_static` in *weak formulation* :eq:`eq_wpoisson_final`. The :math:`f = 0`, :math:`g = \pdiff{T}{\ul{n}} = 0`. So only one term in weak form :eq:`eq_wpoisson_final` remains: .. math:: :label: eq_wlaplace_static \int_{\Omega} c\ \nabla T \cdot \nabla s = 0, \quad \forall s \in V_0 \;. Comparing the above integral term with the long table in :ref:`term_overview`, we can see that *SfePy* contains this term under name `dw_laplace`. We are now ready to proceed to the actual problem definition. Open the :download:`examples/diffusion/poisson_short_syntax.py <../examples/diffusion/poisson_short_syntax.py>` file in your favorite text editor. Note that the file is a regular python source code. :: from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' The ``filename_mesh`` variable points to the file containing the mesh for the particular problem. *SfePy* supports a variety of mesh formats. :: materials = { 'coef': ({'val' : 1.0},), } Here we define just a constant coefficient :math:`c` of the Poisson equation, using the ``'values'`` attribute. Other possible attribute is ``'function'``, for material coefficients computed/obtained at runtime. Many finite element problems require the definition of material parameters. These can be handled in *SfePy* with material variables which associate the material parameters with the corresponding region of the mesh. :: regions = { 'Omega' : 'all', # or 'cells of group 6' 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } Regions assign names to various parts of the finite element mesh. The region names can later be referred to, for example when specifying portions of the mesh to apply boundary conditions to. Regions can be specified in a variety of ways, including by element or by node. Here, Omega is the elemental domain over which the PDE is solved and Gamma_Left and Gamma_Right define surfaces upon which the boundary conditions will be applied. :: fields = { 'temperature': ('real', 1, 'Omega', 1) } A field is used mainly to define the approximation on a (sub)domain, i.e. to define the discrete spaces :math:`V_h`, where we seek the solution. The Poisson equation can be used to compute e.g. a temperature distribution, so let us call our field ``'temperature'``. On the region ``'Omega'`` it will be approximated using linear finite elements. A field in a given region defines the finite element approximation. Several variables can use the same field, see below. :: variables = { 't': ('unknown field', 'temperature', 0), 's': ('test field', 'temperature', 't'), } One field can be used to generate discrete degrees of freedom (DOFs) of several variables. Here the unknown variable (the temperature) is called ``'t'``, it's associated DOF name is ``'t.0'`` --- this will be referred to in the Dirichlet boundary section (``ebc``). The corresponding test variable of the weak formulation is called ``'s'``. Notice that the ``'dual'`` item of a test variable must specify the unknown it corresponds to. For each unknown (or state) variable there has to be a test (or virtual) variable defined, as usual in weak formulation of PDEs. :: ebcs = { 't1': ('Gamma_Left', {'t.0' : 2.0}), 't2', ('Gamma_Right', {'t.0' : -2.0}), } Essential (Dirichlet) boundary conditions can be specified as above. Boundary conditions place restrictions on the finite element formulation and create a unique solution to the problem. Here, we specify that a temperature of +2 is applied to the left surface of the mesh and a temperature of -2 is applied to the right surface. :: integrals = { 'i': 2, } Integrals specify which numerical scheme to use. Here we are using a 2nd order quadrature over a 3 dimensional space. :: equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } The equation above directly corresponds to the discrete version of :eq:`eq_wlaplace_static`, namely: Find :math:`\bm{t} \in V_h`, such that .. math:: \bm{s}^T (\int_{\Omega_h} c\ \bm{G}^T G) \bm{t} = 0, \quad \forall \bm{s} \in V_{h0} \;, where :math:`\nabla u \approx \bm{G} \bm{u}`. The equations block is the heart of the *SfePy* problem definition file. Here, we are specifying that the Laplacian of the temperature (in the weak formulation) is 0, where ``coef.val`` is a material constant. We are using the ``i`` integral defined previously, over the domain specified by the region Omega. The above syntax is useful for defining *custom integrals* with user-defined quadrature points and weights, see :ref:`ug_integrals`. The above uniform integration can be more easily achieved by:: equations = { 'Temperature' : """dw_laplace.2.Omega( coef.val, s, t ) = 0""" } The integration order is specified directly in place of the integral name. The integral definition is superfluous in this case. :: solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, }), } Here, we specify the linear and nonlinear solver kind and options. The convergence parameters can be adjusted if necessary, otherwise leave the default. Even linear problems are solved by a nonlinear solver (KISS rule) - only one iteration is needed and the final rezidual is obtained for free. :: options = { 'nls' : 'newton', 'ls' : 'ls', } The solvers to use are specified in the options block. We can define multiple solvers with different convergence parameters if necessary. That's it! Now it is possible to proceed as described in :ref:`invoking_command_line`. .. _sec-interactive-example-linear-elasticity: Interactive Example: Linear Elasticity -------------------------------------- This example shows how to use *SfePy* interactively, but also how to make a custom simulation script. We will use `IPython`_ with custom imports, as described in :ref:`using-ipython`, for the explanation, but regular Python shell would do as well, provided the proper modules are imported. We wish to solve the following linear elasticity problem: .. math:: :label: eq_linear_elasticity - \pdiff{\sigma_{ij}(\ul{u})}{x_j} + f_i = 0 \mbox{ in }\Omega, \quad \ul{u} = 0 \mbox{ on } \Gamma_1, \quad u_1 = \bar{u}_1 \mbox{ on } \Gamma_2 \;, where the stress is defined as :math:`\sigma_{ij} = 2 \mu e_{ij} + \lambda e_{kk} \delta_{ij}`, :math:`\lambda`, :math:`\mu` are the Lamé's constants, the strain is :math:`e_{ij}(\ul{u}) = \frac{1}{2}(\pdiff{u_i}{x_j} + \pdiff{u_j}{x_i})` and :math:`\ul{f}` are volume forces. This can be written in general form as :math:`\sigma_{ij}(\ul{u}) = D_{ijkl} e_{kl}(\ul{u})`, where in our case :math:`D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl}`. In the weak form the equation :eq:`eq_linear_elasticity` is .. math:: :label: eq_wlinear_elasticity \int_{\Omega} D_{ijkl} e_{kl}(\ul{u}) e_{ij}(\ul{v}) + \int_{\Omega} f_i v_i = 0 \;, where :math:`\ul{v}` is the test function, and both :math:`\ul{u}`, :math:`\ul{v}` belong to a suitable function space. **Hint:** Whenever you create a new object (e.g. a Mesh instance, see below), try to print it using the `print` statement - it will give you insight about the object internals. The whole example summarized in a script is below in :ref:`tutorial_interactive_source`. In the SfePy top-level directory, run:: $ ipython --profile=sfepy Read a finite element mesh, that defines the domain :math:`\Omega`. .. sourcecode:: ipython In [1]: mesh = Mesh.from_file('meshes/2d/rectangle_tri.mesh') Create a domain. The domain allows defining regions or subdomains. .. sourcecode:: ipython In [2]: domain = FEDomain('domain', mesh) Define the regions - the whole domain :math:`\Omega`, where the solution is sought, and :math:`\Gamma_1`, :math:`\Gamma_2`, where the boundary conditions will be applied. As the domain is rectangular, we first get a bounding box to get correct bounds for selecting the boundary edges. .. sourcecode:: ipython In [3]: min_x, max_x = domain.get_mesh_bounding_box()[:, 0] In [4]: eps = 1e-8 * (max_x - min_x) In [5]: omega = domain.create_region('Omega', 'all') In [6]: gamma1 = domain.create_region('Gamma1', ...: 'vertices in x < %.10f' % (min_x + eps), ...: 'facet') In [7]: gamma2 = domain.create_region('Gamma2', ...: 'vertices in x > %.10f' % (max_x - eps), ...: 'facet') Next we define the actual finite element approximation using the :class:`Field` class. .. sourcecode:: ipython In [8]: field = Field.from_args('fu', nm.float64, 'vector', omega, ...: space='H1', poly_space_base='lagrange', ...: approx_order=2) Using the field `fu`, we can define both the unknown variable :math:`\ub` and the test variable :math:`\vb`. .. sourcecode:: ipython In [9]: u = FieldVariable('u', 'unknown', field) In [10]: v = FieldVariable('v', 'test', field, primary_var_name='u') Before we can define the terms to build the equation of linear elasticity, we have to create also the materials, i.e. define the (constitutive) parameters. The linear elastic material `m` will be defined using the two Lamé constants :math:`\lambda = 1`, :math:`\mu = 1`. The volume forces will be defined also as a material, as a constant (column) vector :math:`[0.02, 0.01]^T`. .. sourcecode:: ipython In [11]: m = Material('m', lam=1.0, mu=1.0) In [12]: f = Material('f', val=[[0.02], [0.01]]) One more thing needs to be defined - the numerical quadrature that will be used to integrate each term over its domain. .. sourcecode:: ipython In [14]: integral = Integral('i', order=3) Now we are ready to define the two terms and build the equations. .. sourcecode:: ipython In [15]: from sfepy.terms import Term In [16]: t1 = Term.new('dw_lin_elastic_iso(m.lam, m.mu, v, u)', integral, omega, m=m, v=v, u=u) In [17]: t2 = Term.new('dw_volume_lvf(f.val, v)', integral, omega, f=f, v=v) In [18]: eq = Equation('balance', t1 + t2) In [19]: eqs = Equations([eq]) The equations have to be completed by boundary conditions. Let us clamp the left edge :math:`\Gamma_1`, and shift the right edge :math:`\Gamma_2` in the :math:`x` direction a bit, depending on the :math:`y` coordinate. .. sourcecode:: ipython In [20]: from sfepy.discrete.conditions import Conditions, EssentialBC In [21]: fix_u = EssentialBC('fix_u', gamma1, {'u.all' : 0.0}) In [22]: def shift_u_fun(ts, coors, bc=None, problem=None, shift=0.0): ....: val = shift * coors[:,1]**2 ....: return val In [23]: bc_fun = Function('shift_u_fun', shift_u_fun, ....: extra_args={'shift' : 0.01}) In [24]: shift_u = EssentialBC('shift_u', gamma2, {'u.0' : bc_fun}) The last thing to define before building the problem are the solvers. Here we just use a sparse direct SciPy solver and the SfePy Newton solver with default parameters. We also wish to store the convergence statistics of the Newton solver. As the problem is linear, it should converge in one iteration. .. sourcecode:: ipython In [25]: from sfepy.solvers.ls import ScipyDirect In [26]: from sfepy.solvers.nls import Newton In [27]: ls = ScipyDirect({}) In [28]: nls_status = IndexedStruct() In [29]: nls = Newton({}, lin_solver=ls, status=nls_status) Now we are ready to create a :class:`Problem` instance. Note that the step above is not really necessary - the above solvers are constructed by default. We did them to get the `nls_status`. .. sourcecode:: ipython In [30]: pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls) The :class:`Problem` has several handy methods for debugging. Let us try saving the regions into a VTK file. .. sourcecode:: ipython In [31]: pb.save_regions_as_groups('regions') And view them. .. sourcecode:: ipython In [32]: view = Viewer('regions.vtk') In [33]: view() You should see this: .. image:: images/linear_elasticity_regions.png :width: 70 % :align: center Finally, we apply the boundary conditions, solve the problem, save and view the results. .. sourcecode:: ipython In [34]: pb.time_update(ebcs=Conditions([fix_u, shift_u])) In [35]: vec = pb.solve() In [36]: print nls_status In [37]: pb.save_state('linear_elasticity.vtk', vec) In [38]: view = Viewer('linear_elasticity.vtk') In [39]: view() This is the resulting image: .. image:: images/linear_elasticity_solution1.png :width: 70 % :align: center The default view is not very fancy. Let us show the displacements by shifting the mesh. Close the previous window and do: .. sourcecode:: ipython In [56]: view(vector_mode='warp_norm', rel_scaling=2, ....: is_scalar_bar=True, is_wireframe=True) And the result is: .. image:: images/linear_elasticity_solution2.png :width: 70 % :align: center See the docstring of `view()` and play with its options. .. _tutorial_interactive_source: Complete Example as a Script ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The source code: :download:`linear_elasticity.py <../examples/standalone/interactive/linear_elasticity.py>`. It should be run from the *SfePy* source directory so that it finds the mesh file. .. literalinclude:: ../examples/standalone/interactive/linear_elasticity.py :linenos: sfepy-release_2015.1/doc/txt/000077500000000000000000000000001247364230400160215ustar00rootroot00000000000000sfepy-release_2015.1/doc/txt/mpi.txt000066400000000000000000000001161247364230400173450ustar00rootroot00000000000000# 29.08.2006, c mpirun -np 2 ./test.py mpirun -p4pg procgroup_test ./test.py sfepy-release_2015.1/doc/txt/notes.txt000066400000000000000000000050601247364230400177130ustar00rootroot00000000000000# 04.09.2006 regions operating on FE mesh, not geometry mesh? (-> avoiding 'hanging' edges, faces, difficult to implement?) # 08.06.2006 numpy based qsort functions (sort.c) do not preserve ordering!!! -> connectivity in different order than in input mesh => coupling problems with fluent (fixed 04.09.2006) # 30.01.2006 - SA of klikatak: 40 minutes (with FMF_DEBUG, no optimizations, 524 design vars) # 05.01.2006 FE puzzle partially resolved - region_0 (the wall) included also the outlet!!! -> whole boundary had fixed velocities -> pressure known up to a constant. (stupid me.) PxB/P1 now ok, x = 1, 2, P2/P1 also but requires removing also inlet from the wall - otherwise edge nodes from inlet nodes to the next 'slice' of surface nodes remain fixed which must have caused problems - but why? - nodes on edges between regions should also be fixed - how? # 03.01.2006 FE puzzle: in case of fixing (albeit one) pressure by EBC: - P1B/P1, P2B/P1 elements seem ok, while P2/P1 not??? otherwise always singular matrix # 12.12.2005 terms should define their local dof ordering (NBN or DBD) so that dofConn is generated in accordance # 07.12.2005 think about new base function handling: 1. generate nodes in any most suitable order (genEdges, genFaces, genBubble could be removed - unified handling, possible dim > 3) 2. compute cooridnates of the genrated nodes 3. compute nts (assign nodes to edges, faces, ...) 4. possibly sort nodes according to given order # 27.11.2005 TODO in scipy.sparse: + ismatrix() + save() method + fix CSR .__init__() help + replace max() in CSR/CSC ._check() -> big speedup! - spy for sparse matrices + reformat .__repr__() (too long) + solve() - do not make CSC from CSR... - umfpack!!! # 21.11.2005 using dict.fromkeys() with [] value leads to sharing!!! # 31.10.2005 numarray/Numeric -> scipy newcore: int* dimensions, strides; -> intp* dimensions, strides; PyArray_FromDims -> PyArray_SimpleNew PyArray_FromDimsAndData -> PyArray_SimpleNewFromData # 07.10.2005 definition of problems: equation: - div_grad( displacement ) + convect( displacement ) - grad( pressure ) = 0 | | --- term name | --- field name - allowed operators: +, -, = domain: - given by material id # 03.10.2005 nodeDesc now allows 1., 2. of 30.09.2005 # 30.09.2005 - for now all fields must use mesh vertices + possibly edge nodes -> allow fields: 1. without mesh vertices 2. with bubble nodes 3. with face nodes (can wait) - make tools for displaying the extended connectivity on a mesh sfepy-release_2015.1/doc/txt/term_args.txt000066400000000000000000000046561247364230400205600ustar00rootroot00000000000000# 11.07.2006 term types: =========== - discrete weak - (test, unknown) pair + other args, assembled, result is vector (or matrix when diffenrentiating) - discrete integral - not assembled, result is scalar term arguments passed via a dictionary **kwargs key == term name as used in equations argument types: =============== - variables - materials - misc - flags (scalars) - characteristic functions - ... state = {some of variables} materials ========= - in list of materials ML - updated in time stepper - each term has indices into ML => argument = ML misc ==== argument = misc variables ========= - finite element based (having approximation, nodes, connectivity...) = FE fields how to deal with non-uniform approximation (e.g. par subdomain)? - unknown fields (-> state) - parameter fields (name not important - e.g. 'meshVField' => argument = variable definition + (vector, offset) - test fields - virtual - not present as vectors! - action just through their bases => argument = variable definition - scalars (-> state) => argument = variable definition + (vector, offset) (offset into global state vector) solvers use state variables in a vector only! example defs: ============= 'fld_3_velocity': ----------------- # flags: ExtraCoor, GeomDependent, BQP dim = (3,1) flags = ('GeomDependent', 'BQP') approximations = { 6 : (('3_velocity', 'fld_3_velocity', '3_4_P1B'), ('pressure', 'fld_pressure', '3_4_P1')) } variables = { 'u' : ('parameterField', '3_velocity', (3, 4, 5)), 'w' : ('unknownField', '3_velocity', (3, 4, 5)), 'v' : ('testField', '3_velocity', (3, 4, 5)), 'p' : ('unknownField', 'pressure', (9,)), 'q' : ('testField', 'pressure', (9,)), 'Nu' : ('meshVField', 'pressure', (3, 4, 5)), } new input: ========== field_1 = { 'name' : '3_velocity', 'dim' : (3,1), 'flags' : ('BQP',), # 'GeomDependent' should go into variable! 'bases' : (('region_1000', '3_4_P1B'),) } field_2 = { 'name' : 'pressure', 'dim' : (1,1), 'flags' : (), 'bases' : (('region_1000', '3_4_P1'),) } variables = { 'u' : ('field', 'parameter', '3_velocity', (3, 4, 5)), 'w' : ('field', 'unknown', '3_velocity', (3, 4, 5)), 'v' : ('field', 'test', '3_velocity', (3, 4, 5)), 'p' : ('unknownField', 'pressure', (9,)), 'q' : ('testField', 'pressure', (9,)), 'Nu' : ('meshVField', 'pressure', (3, 4, 5)), } sfepy-release_2015.1/doc/users_guide.rst000066400000000000000000001411071247364230400202560ustar00rootroot00000000000000User's Guide ============ .. contents:: Table of Contents :local: :backlinks: top This manual provides reference documentation to *SfePy* from a user's perspective. Running a Simulation -------------------- The following should be run in the top-level directory of the *SfePy* source tree after compiling the C extension files. See :ref:`introduction_installation` for full installation instructions info. The ``$`` indicates the command prompt of your terminal. Basic Usage ^^^^^^^^^^^ * :: $ ./simple.py examples/diffusion/poisson_short_syntax.py * Creates ``cylinder.vtk`` * :: $ ./simple.py examples/navier_stokes/stokes.py * Creates ``channels_symm944t.vtk`` * :: $ ./run_tests.py * See `Running Tests`_ Applications ^^^^^^^^^^^^ * Phononic Materials * :: $ ./phonon.py -p examples/phononic/band_gaps.py * see ``examples/phononic/output/`` * ``schroedinger.py`` * (order is important below): 1. :: $ ./schroedinger.py --2d --create-mesh 2. :: $ ./schroedinger.py --2d --hydrogen 3. :: $ ./postproc.py mesh.vtk Stand-Alone Examples ^^^^^^^^^^^^^^^^^^^^ * :: $ python examples/rs_correctors.py * :: $ python examples/compare_elastic_materials.py * :: $ python examples/live_plot.py Running Tests ^^^^^^^^^^^^^ The tests are run by the ``run_tests.py`` script:: $ ./run_tests.py -h Usage: run_tests.py [options] [test_filename[ test_filename ...]] Options: --version show program's version number and exit -h, --help show this help message and exit --print-doc print the docstring of this file (howto write new tests) -d directory, --dir=directory directory with tests [default: tests] -o directory, --output=directory directory for storing test results and temporary files [default: output-tests] --debug raise silenced exceptions to see what was wrong --filter-none do not filter any messages --filter-less filter output (suppress all except test messages) --filter-more filter output (suppress all except test result messages) Common Tasks """""""""""" * Run all tests, filter output; result files related to the tests can be found in output-tests directory:: ./run_tests.py ./run_tests.py --filter-more ./run_tests.py --filter-less * Run a particular test file, filter output:: # Test if linear elasticity input file works. ./run_tests.py tests/test_input_le.py * Debug a failing test:: ./run_tests.py tests/test_input_le.py --debug Computations and Examples ^^^^^^^^^^^^^^^^^^^^^^^^^ The example problems in the ``examples`` directory can be computed by the script ``simple.py`` which is in the top-level directory of the *SfePy* distribution. If it is run without arguments, a help message is printed:: $ ./simple.py Usage: simple.py [options] filename_in Options: --version show program's version number and exit -h, --help show this help message and exit -c "key : value, ...", --conf="key : value, ..." override problem description file items, written as python dictionary without surrouding braces -O "key : value, ...", --options="key : value, ..." override options item of problem description, written as python dictionary without surrouding braces -o filename basename of output file(s) [default: ] --format=format output file format, one of: {vtk, h5, mesh} [default: vtk] --log=file log all messages to specified file (existing file will be overwritten!) -q, --quiet do not print any messages to screen --save-ebc save problem state showing EBC (Dirichlet conditions) --save-regions save problem regions as meshes --save-regions-as-groups save problem regions in a single mesh but mark them by using different element/node group numbers --save-field-meshes save meshes of problem fields (with extra DOF nodes) --solve-not do not solve (use in connection with --save-*) --list=what list data, what can be one of: {terms} Additional (stand-alone) examples are in the examples/ directory, e.g.:: $ python examples/compare_elastic_materials.py Parametric study example:: $ ./simple.py examples/diffusion/poisson_parametric_study.py Common Tasks """""""""""" * Run a simulation:: ./simple.py examples/diffusion/poisson_short_syntax.py ./simple.py examples/diffusion/poisson_short_syntax.py -o some_results # -> produces some_results.vtk * Print available terms:: ./simple.py --list=terms * Run a simulation and also save Dirichlet boundary conditions:: ./simple.py --save-ebc examples/diffusion/poisson_short_syntax.py # -> produces an additional .vtk file with BC visualization Visualization of Results ------------------------ The ``postproc.py`` script can be used for quick postprocessing and visualization of the *SfePy* results. It requires mayavi2 installed on your system. Running ``postproc.py`` without arguments produces:: $ ./postproc.py Usage: postproc.py [options] filename This is a script for quick Mayavi-based visualizations of finite element computations results. Examples -------- The examples assume that run_tests.py has been run successfully and the resulting data files are present. - view data in output-tests/test_navier_stokes.vtk $ python postproc.py output-tests/test_navier_stokes.vtk $ python postproc.py output-tests/test_navier_stokes.vtk --3d - create animation (forces offscreen rendering) from output-tests/test_time_poisson.*.vtk $ python postproc.py output-tests/test_time_poisson.*.vtk -a mov - create animation (forces offscreen rendering) from output-tests/test_hyperelastic.*.vtk The range specification for the displacements 'u' is required, as output-tests/test_hyperelastic.00.vtk contains only zero displacements which leads to invisible glyph size. $ python postproc.py output-tests/test_hyperelastic.*.vtk --ranges=u,0,0.02 -a mov - same as above, but slower frame rate $ python postproc.py output-tests/test_hyperelastic.*.vtk --ranges=u,0,0.02 -a mov --ffmpeg-options="-r 2 -sameq" Options: --version show program's version number and exit -h, --help show this help message and exit -l, --list-ranges do not plot, only list names and ranges of all data -n, --no-show do not call mlab.show() --no-offscreen force no offscreen rendering for --no-show --3d 3d plot mode --view=angle,angle[,distance[,focal_point]] camera azimuth, elevation angles, and optionally also distance and focal point coordinates (without []) as in `mlab.view()` [default: if --3d is True: "45,45", else: "0,0"] --roll=angle camera roll angle [default: 0.0] --fgcolor=R,G,B foreground color, that is the color of all text annotation labels (axes, orientation axes, scalar bar labels) [default: 0.0,0.0,0.0] --bgcolor=R,G,B background color [default: 1.0,1.0,1.0] --layout=layout layout for multi-field plots, one of: rowcol, colrow, row, col [default: rowcol] --scalar-mode=mode mode for plotting scalars with --3d, one of: cut_plane, iso_surface, both [default: iso_surface] --vector-mode=mode mode for plotting vectors, one of: arrows, norm, arrows_norm, warp_norm [default: arrows_norm] -s scale, --scale-glyphs=scale relative scaling of glyphs (vector field visualization) [default: 0.05] --clamping glyph clamping mode --ranges=name1,min1,max1:name2,min2,max2:... force data ranges [default: automatic from data] -b, --scalar-bar show scalar bar for each data --wireframe show wireframe of mesh surface for each data --opacity=opacity global surface and wireframe opacity in [0.0, 1.0] [default: 1.0] --rel-text-width=width relative text annotation width [default: 0.02] -w, --watch watch the results file for changes (single file mode only) -o filename, --output=filename view image file name [default: 'view.png'] --output-dir=directory output directory for saving view images; ignored when -o option is given, as the directory part of the filename is taken instead [default: '.'] -a , --animation= if set to a ffmpeg-supported format (e.g. mov, avi, mpg), ffmpeg is installed and results of multiple time steps are given, an animation is created in the same directory as the view images --ffmpeg-options="" ffmpeg animation encoding options (enclose in "") [default: -r 10 -sameq] -r resolution, --resolution=resolution image resolution in NxN format [default: shorter axis: 600; depends on layout: for rowcol it is 800x600] --all draw all data (normally, node_groups and mat_id are omitted) --only-names=list of names draw only named data --group-names=name1,...,nameN:... superimpose plots of data in each group --subdomains=mat_id_name,threshold_limits,single_color superimpose surfaces of subdomains over each data; example value: mat_id,0,None,True --step=step set the time step [default: 0] --anti-aliasing=value value of anti-aliasing [default: mayavi2 default] -d 'var_name0,function_name0,par0=val0,par1=val1,...:var_name1,...', --domain-specific='var_name0,function_name0,par0=val0,par1=val1,...:var_name1,...' domain specific drawing functions and configurations As a simple example, try:: $ ./simple.py examples/diffusion/poisson_short_syntax.py $ ./postproc.py cylinder.vtk The following window should display: .. image:: images/postproc_simple.png The ``-l`` switch lists information contained in a results file, e.g.:: $ ./postproc.py -l cylinder.vtk sfepy: 0: cylinder.vtk point scalars "node_groups" (354,) range: 0 0 l2_norm_range: 0.0 0.0 "t" (354,) range: -2.0 2.0 l2_norm_range: 0.0106091 2.0 cell scalars "mat_id" (1348,) range: 6 6 l2_norm_range: 6.0 6.0 .. _sec-problem-description-file: Problem Description File ------------------------ Here we discuss the basic items that users have to specify in their input files. For complete examples, see the problem description files in the ``examples/`` directory of SfePy. Long Syntax ^^^^^^^^^^^ Besides the *short syntax* described below there is (due to history) also a *long syntax* which is explained in :doc:`problem_desc_file_long`. The short and long syntax can be mixed together in one description file. FE Mesh ^^^^^^^ A FE mesh defining a domain geometry can be stored in several formats: * legacy VTK (``.vtk``) * custom HDF5 file (``.h5``) * medit mesh file (``.mesh``) * tetgen mesh files (``.node``, ``.ele``) * comsol text mesh file (``.txt``) * abaqus text mesh file (``.inp``) * avs-ucd text mesh file (``.inp``) * hypermesh text mesh file (``.hmascii``) * hermes3d mesh file (``.mesh3d``) * nastran text mesh file (``.bdf``) * gambit neutral text mesh file (``.neu``) * salome/pythonocc med binary mesh file (``.med``) **Example**:: filename_mesh = 'meshes/3d/cylinder.vtk' The VTK and HDF5 formats can be used for storing the results. The format can be selected in options, see :ref:`miscellaneous_options`. The following geometry elements are supported: .. image:: images/elements.png Regions ^^^^^^^ Regions serve to select a certain part of the computational domain using topological entities of the FE mesh. They are used to define the boundary conditions, the domains of terms and materials etc. Let us denote D the maximal dimension of topological entities. For volume meshes it is also the dimension of space the domain is embedded in. Then the following topological entities can be defined on the mesh (notation follows [Logg2012]_): .. [Logg2012] A. Logg: Efficient Representation of Computational Meshes. 2012 .. csv-table:: :header: topological entity, dimension, co-dimension :widths: 15, 15, 15 vertex, 0, D edge, 1, D - 1 face, 2, D - 2 facet, D - 1, 1 cell, D, 0 If D = 2, faces are not defined and facets are edges. If D = 3, facets are faces. Following the above definitions, a region can be of different `kind`: - ``cell``, ``facet``, ``face``, ``edge``, ``vertex`` - entities of higher dimension are not included. - ``cell_only``, ``facet_only``, ``face_only``, ``edge_only``, ``vertex_only`` - only the specified entities are included, other entities are empty sets, so that set-like operators still work, see below. - The ``cell`` kind is the most general and should be used with volume terms. It is also the default if the kind is not specified in region definition. - The ``facet`` kind (same as ``edge`` in 2D and ``face`` in 3D) is to be used with boundary (surface integral) terms. - The ``vertex`` (same as ``vertex_only``) kind can be used with point-wise defined terms (e.g. point loads). The kinds allow a clear distinction between regions of different purpose (volume integration domains, surface domains, etc.) and could be uses to lower memory usage. A region definition involves `topological entity selections` combined with `set-like operators`. The set-like operators can result in intermediate regions that have the ``cell`` kind. The desired kind is set to the final region, removing unneeded entities. Most entity selectors are defined in terms of vertices and cells - the other entities are computed as needed. .. list-table:: :widths: 50, 50 :header-rows: 1 * - topological entity selection - explanation * - ``all`` - all entities of the mesh * - ``vertices of surface`` - surface of the mesh * - ``vertices of group `` - vertices of given group * - ``vertices of set `` - vertices of a given named vertex set [#f1]_ * - ``vertices in `` - vertices given by an expression [#f2]_ * - ``vertices by `` - vertices given by a function of coordinates [#f3]_ * - ``vertex [, , ...]`` - vertices given by their ids * - ``vertex in r.`` - any single vertex in the given region * - ``cells of group `` - cells of given group * - ``cells by `` - cells given by a function of coordinates [#f4]_ * - ``cell [, , ...]``, - cells given by their ids (assumes cell group 0) * - ``cell (, )[, (, ), ...]`` - cells given by their (group, id) pairs * - ``copy r.`` - a copy of the given region * - ``r.`` - a reference to the given region .. rubric:: topological entity selection footnotes .. [#f1] Only if mesh format supports reading boundary condition vertices as vertex sets. .. [#f2] ```` is a logical expression like ``(y <= 0.1) & (x < 0.2)``. In 2D use ``x``, ``y``, in 3D use ``x``, ``y`` and ``z``. ``&`` stands for logical and, ``|`` stands for logical or. .. [#f3] ```` is a function with signature ``fun(coors, domain=None)``, where ``coors`` are coordinates of mesh vertices. .. [#f4] ```` is a function with signature ``fun(coors, domain=None)``, where ``coors`` are coordinates of mesh cell centroids. .. csv-table:: :header: set-like operator, explanation :widths: 20, 20 ``+v``, vertex union ``+e``, edge union ``+f``, face union ``+s``, facet union ``+c``, cell union ``-v``, vertex difference ``-e``, edge difference ``-f``, face difference ``-s``, facet difference ``-c``, cell difference ``*v``, vertex intersection ``*e``, edge intersection ``*f``, face intersection ``*s``, facet intersection ``*c``, cell intersection Region Definition Syntax """""""""""""""""""""""" Regions are defined by the following Python dictionary:: regions = { : (, [], []), } or:: regions = { : , } **Example definitions**:: regions = { 'Omega' : 'all', 'Right' : ('vertices in (x > 0.99)', 'facet'), 'Gamma1' : ("""(cells of group 1 *v cells of group 2) +v r.Right""", 'facet', 'Omega'), } .. _User's Guide-Fields: Fields ^^^^^^ Fields correspond to FE spaces:: fields = { : (, , , ) } where * is a numpy type (float64 or complex128) or 'real' or 'complex' * is the number of DOFs per node: 1 or (1,) or 'scalar', space dimension (2, or (2,) or 3 or (3,)) or 'vector'; it can be other positive integer than just 1, 2, or 3 * is the name of region where the field is defined * is the FE approximation order, e.g. 0, 1, 2, '1B' (1 with bubble) **Example**: scalar P1 elements in 2D on a region Omega:: fields = { 'temperature' : ('real', 1, 'Omega', 1), } The following approximation orders can be used: * simplex elements: 1, 2, '1B', '2B' * tensor product elements: 0, 1, '1B' Optional bubble function enrichment is marked by 'B'. Variables ^^^^^^^^^ Variables use the FE approximation given by the specified field:: variables = { : (, , , []) } where * - 'unknown field', 'test field' or 'parameter field' * - in case of: primary variable - order in the global vector of unknowns, dual variable - name of primary variable * - number of time steps to remember prior to current step **Example**:: variables = { 't' : ('unknown field', 'temperature', 0, 1), 's' : ('test field', 'temperature', 't'), } .. _ug_integrals: Integrals ^^^^^^^^^ Define the integral type and quadrature rule. This keyword is optional, as the integration orders can be specified directly in equations (see below):: integrals = { : } where * - the integral name - it has to begin with 'i'! * - the order of polynomials to integrate, or 'custom' for integrals with explicitly given values and weights **Example**:: import numpy as nm N = 2 integrals = { 'i1' : 2, 'i2' : ('custom', zip(nm.linspace( 1e-10, 0.5, N ), nm.linspace( 1e-10, 0.5, N )), [1./N] * N), } .. _User's Guide-EssentialBC: Essential Boundary Conditions and Constraints ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The essential boundary conditions set values of DOFs in some regions, while the constraints constrain or transform values of DOFs in some regions. Dirichlet Boundary Conditions """"""""""""""""""""""""""""" The Dirichlet, or essential, boundary conditions apply in a given region given by its name, and, optionally, in selected times. The times can be given either using a list of tuples `(t0, t1)` making the condition active for `t0 <= t < t1`, or by a name of a function taking the time argument and returning True or False depending on whether the condition is active at the given time or not. Dirichlet (essential) boundary conditions:: ebcs = { : (, [,] { : [, : , ...]}) } **Example**:: ebcs = { 'u1' : ('Left', {'u.all' : 0.0}), 'u2' : ('Right', [(0.0, 1.0)], {'u.0' : 0.1}), 'phi' : ('Surface', {'phi.all' : 0.0}), } Periodic Boundary Conditions """""""""""""""""""""""""""" The periodic boundary conditions tie DOFs of a single variable in two regions that have matching nodes. Can be used with functions in :mod:`sfepy.discrete.fem.periodic`. Periodic boundary conditions:: epbcs = { : ((, ), [,] { : [, : , ...]}, ) } **Example**:: epbcs = { 'up1' : (('Left', 'Right'), {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match_y_line'), } Linear Combination Boundary Conditions """""""""""""""""""""""""""""""""""""" The linear combination boundary conditions (LCBCs) are more general than the Dirichlet BCs or periodic BCs. They can be used to substitute one set of DOFs in a region by another set of DOFs, possibly in another region and of another variable. The LCBCs can be used only in FEM with nodal (Lagrange) basis. Available LCBC kinds: - ``'rigid'`` - in linear elasticity problems, a region moves as a rigid body; - ``'no_penetration'`` - in flow problems, the velocity vector is constrained to the plane tangent to the surface; - ``'normal_direction'`` - the velocity vector is constrained to the normal direction; - ``'edge_direction'`` - the velocity vector is constrained to the mesh edge direction; - ``'integral_mean_value'`` - all DOFs in a region are summed to a single new DOF; - ``'shifted_periodic'`` - generalized periodic BCs that work with two different variables and can have a non-zero mutual shift. Only the ``'shifted_periodic'`` LCBC needs the second region and the DOF mapping function, see below. Linear combination boundary conditions:: lcbcs = { 'shifted' : (('Left', 'Right'), {'u1.all' : 'u2.all'}, 'match_y_line', 'shifted_periodic', 'get_shift'), 'mean' : ('Middle', {'u1.all' : None}, None, 'integral_mean_value'), } Initial Conditions ^^^^^^^^^^^^^^^^^^ Initial conditions are applied prior to the boundary conditions - no special care must be used for the boundary dofs:: ics = { : (, { : [, : , ...]},...) } **Example**:: ics = { 'ic' : ('Omega', {'T.0' : 5.0}), } Materials ^^^^^^^^^ Materials are used to define constitutive parameters (e.g. stiffness, permeability, or viscosity), and other non-field arguments of terms (e.g. known traction or volume forces). Depending on a particular term, the parameters can be constants, functions defined over FE mesh nodes, functions defined in the elements, etc. **Example**:: material = { 'm' : ({'val' : [0.0, -1.0, 0.0]},), 'm2' : 'get_pars', 'm3' : (None, 'get_pars'), # Same as the above line. } **Example**: different material parameters in regions 'Yc', 'Ym':: from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson dim = 3 materials = { 'mat' : ({'D' : { 'Ym': stiffness_from_youngpoisson(dim, 7.0e9, 0.4), 'Yc': stiffness_from_youngpoisson(dim, 70.0e9, 0.2)} },), } Equations and Terms ^^^^^^^^^^^^^^^^^^^ Equations can be built by combining terms listed in :ref:`term_table`. Examples """""""" * Laplace equation, named integral:: equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } * Laplace equation, simplified integral given by order:: equations = { 'Temperature' : """dw_laplace.2.Omega( coef.val, s, t ) = 0""" } * Laplace equation, automatic integration order (not implemented yet!):: equations = { 'Temperature' : """dw_laplace.a.Omega( coef.val, s, t ) = 0""" } * Navier-Stokes equations:: equations = { 'balance' : """+ dw_div_grad.i2.Omega( fluid.viscosity, v, u ) + dw_convect.i2.Omega( v, u ) - dw_stokes.i1.Omega( v, p ) = 0""", 'incompressibility' : """dw_stokes.i1.Omega( u, q ) = 0""", } Configuring Solvers ^^^^^^^^^^^^^^^^^^^ In SfePy, a non-linear solver has to be specified even when solving a linear problem. The linear problem is/should be then solved in one iteration of the nonlinear solver. Linear and nonlinear solver:: solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1}), } Solver selection:: options = { 'nls' : 'newton', 'ls' : 'ls', } Functions ^^^^^^^^^ Functions are a way of customizing *SfePy* behavior. They make it possible to define material properties, boundary conditions, parametric sweeps, and other items in an arbitrary manner. Functions are normal Python functions declared in the Problem Definition file, so they can invoke the full power of Python. In order for *SfePy* to make use of the functions, they must be declared using the function keyword. See the examples below. Defining Material Parameters """""""""""""""""""""""""""" The functions for defining material parameters can work in two modes, distinguished by the `mode` argument. The two modes are 'qp' and 'special'. The first mode is used for usual functions that define parameters in quadrature points (hence 'qp'), while the second one can be used for special values like various flags. The shape and type of data returned in the 'special' mode can be arbitrary (depending on the term used). On the other hand, in the 'qp' mode all the data have to be numpy float64 arrays with shape `(n_coor, n_row, n_col)`, where `n_coor` is the number of quadrature points given by the `coors` argument, `n_coor = coors.shape[0]`, and `(n_row, n_col)` is the shape of a material parameter in each quadrature point. For example, for scalar parameters, the shape is `(n_coor, 1, 1)`. Examples """""""" See ``examples/diffusion/poisson_functions.py`` for a complete problem description file demonstrating how to use different kinds of functions. - functions for defining regions:: def get_circle(coors, domain=None): r = nm.sqrt(coors[:,0]**2.0 + coors[:,1]**2.0) return nm.where(r < 0.2)[0] functions = { 'get_circle' : (get_circle,), } - functions for defining boundary conditions:: def get_p_edge(ts, coors, bc=None, problem=None): if bc.name == 'p_left': return nm.sin(nm.pi * coors[:,1]) else: return nm.cos(nm.pi * coors[:,1]) functions = { 'get_p_edge' : (get_p_edge,), } ebcs = { 'p' : ('Gamma', {'p.0' : 'get_p_edge'}), } The values can be given by a function of time, coordinates and possibly other data, for example:: ebcs = { 'f1' : ('Gamma1', {'u.0' : 'get_ebc_x'}), 'f2' : ('Gamma2', {'u.all' : 'get_ebc_all'}), } def get_ebc_x(coors, amplitude): z = coors[:, 2] val = amplitude * nm.sin(z * 2.0 * nm.pi) return val def get_ebc_all(ts, coors): x, y, z = coors[:, 0], coors[:, 1], coors[:, 2] val = ts.step * nm.r_[x, y, z] return val functions = { 'get_ebc_x' : (lambda ts, coors, bc, problem, **kwargs: get_ebc_x(coors, 5.0),), 'get_ebc_all' : (lambda ts, coors, bc, problem, **kwargs: get_ebc_all(ts, coors),), } Note that when setting more than one component as in `get_ebc_all()` above, the function should return a single one-dimensional vector with all values of the first component, then of the second one etc. concatenated together. - function for defining usual material parameters:: def get_pars(ts, coors, mode=None, **kwargs): if mode == 'qp': val = coors[:,0] val.shape = (coors.shape[0], 1, 1) return {'x_coor' : val} functions = { 'get_pars' : (get_pars,), } The keyword arguments contain both additional use-specified arguments, if any, and the following: ``equations, term, problem``, for cases when the function needs access to the equations, problem, or term instances that requested the parameters that are being evaluated. The full signature of the function is:: def get_pars(ts, coors, mode=None, equations=None, term=None, problem=None, **kwargs) - function for defining special material parameters, with an extra argument:: def get_pars_special(ts, coors, mode=None, extra_arg=None): if mode == 'special': if extra_arg == 'hello!': ic = 0 else: ic = 1 return {('x_%s' % ic) : coors[:,ic]} functions = { 'get_pars1' : (lambda ts, coors, mode=None, **kwargs: get_pars_special(ts, coors, mode, extra_arg='hello!'),), } # Just another way of adding a function, besides 'functions' keyword. function_1 = { 'name' : 'get_pars2', 'function' : lambda ts, coors, mode=None, **kwargs: get_pars_special(ts, coors, mode, extra_arg='hi!'), } - function combining both kinds of material parameters:: def get_pars_both(ts, coors, mode=None, **kwargs): out = {} if mode == 'special': out['flag'] = coors.max() > 1.0 elif mode == 'qp': val = coors[:,1] val.shape = (coors.shape[0], 1, 1) out['y_coor'] = val return out functions = { 'get_pars_both' : (get_pars_both,), } - function for setting values of a parameter variable:: variable_1 = { 'name' : 'p', 'kind' : 'parameter field', 'field' : 'temperature', 'like' : None, 'special' : {'setter' : 'get_load_variable'}, } def get_load_variable(ts, coors, region=None): y = coors[:,1] val = 5e5 * y return val functions = { 'get_load_variable' : (get_load_variable,) } .. _miscellaneous_options: Miscellaneous ^^^^^^^^^^^^^ The options can be used to select solvers, output file format, output directory, to register functions to be called at various phases of the solution (the `hooks`), and for other settings. Additional options (including solver selection):: options = { # string, output directory 'output_dir' : 'output/', # 'vtk' or 'h5', output file (results) format 'output_format' : 'h5', # string, nonlinear solver name 'nls' : 'newton', # string, linear solver name 'ls' : 'ls', # string, time stepping solver name 'ts' : 'ts', # int, number of time steps when results should be saved (spaced # regularly from 0 to n_step), or -1 for all time steps 'save_steps' : -1, # string, a function to be called after each time step 'step_hook' : '', # string, a function to be called after each time step, used to # update the results to be saved 'post_process_hook' : '', # string, as above, at the end of simulation 'post_process_hook_final' : '', # string, a function to generate probe instances 'gen_probes' : '', # string, a function to probe data 'probe_hook' : '', # string, a function to modify problem definition parameters 'parametric_hook' : '', } * ``post_process_hook`` enables computing derived quantities, like stress or strain, from the primary unknown variables. See the examples in ``examples/large_deformation/`` directory. * ``parametric_hook`` makes it possible to run parametric studies by modifying the problem description programmatically. See ``examples/diffusion/poisson_parametric_study.py`` for an example. * ``output_dir`` redirects output files to specified directory Building Equations in SfePy --------------------------- Equations in *SfePy* are built using terms, which correspond directly to the integral forms of weak formulation of a problem to be solved. As an example, let us consider the Laplace equation in time interval :math:`t \in [0, t_{\rm final}]`: .. math:: :label: eq_laplace \pdiff{T}{t} + c \Delta T = 0 \mbox{ in }\Omega,\quad T(t) = \bar{T}(t) \mbox{ on } \Gamma \;. The weak formulation of :eq:`eq_laplace` is: Find :math:`T \in V`, such that .. math:: :label: eq_wlaplace \int_{\Omega} s \pdiff{T}{t} + \int_{\Omega} c\ \nabla T : \nabla s = 0, \quad \forall s \in V_0 \;, where we assume no fluxes over :math:`\partial \Omega \setminus \Gamma`. In the syntax used in *SfePy* input files, this can be written as:: dw_volume_dot.i.Omega( s, dT/dt ) + dw_laplace.i.Omega( coef, s, T) = 0 which directly corresponds to the discrete version of :eq:`eq_wlaplace`: Find :math:`\bm{T} \in V_h`, such that .. math:: \bm{s}^T (\int_{\Omega_h} \bm{\phi}^T \bm{\phi}) \pdiff{\bm{T}}{t} + \bm{s}^T (\int_{\Omega_h} c\ \bm{G}^T \bm{G}) \bm{T} = 0, \quad \forall \bm{s} \in V_{h0} \;, where :math:`u \approx \bm{\phi} \bm{u}`, :math:`\nabla u \approx \bm{G} \bm{u}` for :math:`u \in \{s, T\}`. The integrals over the discrete domain :math:`\Omega_h` are approximated by a numerical quadrature, that is named :math:`\verb|i|` in our case. Syntax of Terms in Equations ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The terms in equations are written in form:: ..( , , ... ) where ```` denotes an integral name (i.e. a name of numerical quadrature to use) and ```` marks a region (domain of the integral). In the following, ```` corresponds to a test function, ```` to a unknown function and ```` to a known function arguments. When solving, the individual terms in equations are evaluated in the `'weak'` mode. The evaluation modes are described in the next section. .. _term_evaluation: Term Evaluation --------------- Terms can be evaluated in two ways: #. implicitly by using them in equations; #. explicitly using :func:`Problem.evaluate() `. This way is mostly used in the postprocessing. Each term supports one or more *evaluation modes*: - `'weak'` : Assemble (in the finite element sense) either the vector or matrix depending on `diff_var` argument (the name of variable to differentiate with respect to) of :func:`Term.evaluate() `. This mode is usually used implicitly when building the linear system corresponding to given equations. - `'eval'` : The evaluation mode integrates the term (= integral) over a region. The result has the same dimension as the quantity being integrated. This mode can be used, for example, to compute some global quantities during postprocessing such as fluxes or total values of extensive quantities (mass, volume, energy, ...). - `'el_avg'` : The element average mode results in an array of a quantity averaged in each element of a region. This is the mode for postprocessing. - `'el'` : The element integral value mode results in an array of a quantity integrated over each element of a region. This mode is supported only by some special terms. - `'qp'` : The quadrature points mode results in an array of a quantity interpolated into quadrature points of each element in a region. This mode is used when further point-wise calculations with the result are needed. The same element type and number of quadrature points in each element are assumed. Not all terms support all the modes - consult the documentation of the individual terms. There are, however, certain naming conventions: - `'dw_*'` terms support `'weak'` mode - `'dq_*'` terms support `'qp'` mode - `'d_*'`, `'di_*'` terms support `'eval'` mode - `'ev_*'` terms support `'eval'`, `'el_avg'` and `'qp'` modes Note that the naming prefixes are due to history when the `mode` argument to :func:`Problem.evaluate() ` and :func:`Term.evaluate() ` was not available. Now they are often redundant, but are kept around to indicate the evaluation purpose of each term. Several examples of using the :func:`Problem.evaluate() ` function are shown below. Solution Postprocessing ----------------------- A solution to equations given in a problem description file is given by the variables of the 'unknown field' kind, that are set in the solution procedure. By default, those are the only values that are stored into a results file. The solution postprocessing allows computing additional, derived, quantities, based on the primary variables values, as well as any other quantities to be stored in the results. Let us illustrate this using several typical examples. Let us assume that the postprocessing function is called `'post_process()'`, and is added to options as discussed in :ref:`miscellaneous_options`, see `'post_process_hook'` and `'post_process_hook_final'`. Then: - compute stress and strain given the displacements (variable `u`):: def post_process(out, problem, state, extend=False): """ This will be called after the problem is solved. Parameters ---------- out : dict The output dictionary, where this function will store additional data. problem : Problem instance The current Problem instance. state : State instance The computed state, containing FE coefficients of all the unknown variables. extend : bool The flag indicating whether to extend the output data to the whole domain. It can be ignored if the problem is solved on the whole domain already. Returns ------- out : dict The updated output dictionary. """ from sfepy.base.base import Struct # Cauchy strain averaged in elements. strain = problem.evaluate('ev_cauchy_strain.i.Omega(u)', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) # Cauchy stress averaged in elements. stress = problem.evaluate('ev_cauchy_stress.i.Omega(solid.D, u)', mode='el_avg') out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out The full example is :ref:`linear_elasticity-linear_elastic_probes`. - compute diffusion velocity given the pressure:: def post_process(out, pb, state, extend=False): from sfepy.base.base import Struct dvel = pb.evaluate('ev_diffusion_velocity.i.Omega(m.K, p)', mode='el_avg') out['dvel'] = Struct(name='output_data', mode='cell', data=dvel, dofs=None) return out The full example is :ref:`biot-biot_npbc`. - store values of a non-homogeneous material parameter:: def post_process(out, pb, state, extend=False): from sfepy.base.base import Struct mu = pb.evaluate('ev_integrate_mat.2.Omega(nonlinear.mu, u)', mode='el_avg', copy_materials=False, verbose=False) out['mu'] = Struct(name='mu', mode='cell', data=mu, dofs=None) return out The full example is :ref:`linear_elasticity-material_nonlinearity`. - compute volume of a region (`u` is any variable defined in the region `Omega`):: volume = problem.evaluate('d_volume.2.Omega(u)') Probing ------- Probing applies interpolation to output the solution along specified paths. There are two ways of probing: - *VTK* probes: It is the simple way of probing using the `'post_process_hook'`. It generates matplotlib figures with the probing results and previews of the mesh with the probe paths. See :doc:`primer` or :ref:`linear_elasticity-its2D_5` example. - *SfePy* probes: As mentioned in :ref:`miscellaneous_options`, it relies on defining two additional functions, namely the `'gen_probes'` function, that should create the required probes (see :mod:`sfepy.discrete.probes`), and the `'probe_hook'` function that performs the actual probing of the results for each of the probes. This function can return the probing results, as well as a handle to a corresponding matplotlib figure. See :ref:`linear_elasticity-its2D_4` for additional explanation. Using :mod:`sfepy.discrete.probes` allows correct probing of fields with the approximation order greater than one, see :ref:`primer-interactive-example` in Primer or :ref:`linear_elasticity-its2D_interactive` for an example of interactive use. Postprocessing filters ---------------------- The following postprocessing functions based on the *VTK* filters are available: - 'get_vtk_surface': extract mesh surface - 'get_vtk_edges': extract mesh edges - 'get_vtk_by_group': extract domain by a material ID - 'tetrahedralize_vtk_mesh': 3D cells are converted to tetrahedral meshes, 2D cells to triangles The following code demonstrates the use of the postprocessing filters:: mesh = problem.domain.mesh mesh_name = mesh.name[mesh.name.rfind(osp.sep) + 1:] vtkdata = get_vtk_from_mesh(mesh, out, 'postproc_') matrix = get_vtk_by_group(vtkdata, 1, 1) matrix_surf = get_vtk_surface(matrix) matrix_surf_tri = tetrahedralize_vtk_mesh(matrix_surf) write_vtk_to_file('%s_mat1_surface.vtk' % mesh_name, matrix_surf_tri) matrix_edges = get_vtk_edges(matrix) write_vtk_to_file('%s_mat1_edges.vtk' % mesh_name, matrix_edges) Available Solvers ----------------- This Section describes solvers available in SfePy from user's perspective. There internal/external solvers include linear, nonlinear, eigenvalue, optimization and time stepping solvers. Nonlinear Solvers ^^^^^^^^^^^^^^^^^ Almost every problem, even linear, is solved in SfePy using a nonlinear solver that calls a linear solver in each iteration. This approach unifies treatment of linear and non-linear problems, and simplifies application of Dirichlet (essential) boundary conditions, as the linear system computes not a solution, but a solution increment, i.e., it always has zero boundary conditions. The following solvers are available: - 'nls.newton': Newton solver with backtracking line-search - this is the default solver, that is used for almost all examples. - 'nls.oseen': Oseen problem solver tailored for stabilized Navier-Stokes equations (see :ref:`navier_stokes-stabilized_navier_stokes`). - 'nls.scipy_broyden_like': interface to Broyden and Anderson solvers from scipy.optimize. - 'nls.semismooth_newton': Semismooth Newton method for contact/friction problems. Linear Solvers ^^^^^^^^^^^^^^ A good linear solver is key to solving efficiently stationary as well as transient PDEs with implicit time-stepping. The following solvers are available: - 'ls.scipy_direct': direct solver from SciPy - this is the default solver for all examples. It is strongly recommended to install umfpack and its SciPy wrappers to get good performance. - 'ls.scipy_iterative': Interface to SciPy iterative solvers. - 'ls.pyamg': Interface to PyAMG solvers. - 'ls.petsc': Interface to Krylov subspace solvers of PETSc. - 'ls.petsc_parallel': Interface to Krylov subspace solvers of PETSc able to run in parallel by storing the system to disk and running a separate script via `mpiexec`. - 'ls.schur_complement': Schur complement problem solver. .. _isogeometric_analysis: Isogeometric Analysis --------------------- `Isogeometric analysis`_ (IGA) is a recently developed computational approach that allows using the NURBS-based domain description from CAD design tools also for approximation purposes similar to the finite element method. The implementation is SfePy is based on Bezier extraction of NURBS as developed in [1]_. This approach allows reusing the existing finite element assembling routines, as still the evaluation of weak forms occurs locally in "elements" and the local contributions are then assembled to the global system. Current Implementation ^^^^^^^^^^^^^^^^^^^^^^ The IGA code is still very preliminary and some crucial components are missing. The current implementation is also very slow, as it is in pure Python. The following already works: - single patch tensor product domain support in 2D and 3D - region selection based on topological Bezier mesh, see below - Dirichlet boundary conditions using projections for non-constant values - both scalar and vector volume terms work - term integration over the whole domain as well as a volume subdomain - simple linearization (output file generation) based on sampling the results with uniform parametric vectors - basic domain generation with ``script/gen_iga_patch.py`` based on `igakit`_ The following is not implemented yet: - tests - theoretical convergence rate verification - fast basis evaluation - surface terms - other boundary conditions - evaluation in arbitrary point in the physical domain - proper (adaptive) linearization for post-processing - support for multiple NURBS patches Domain Description """""""""""""""""" The domain description is in custom HDF5-based files with ``.iga`` extension. Such a file contains: - NURBS patch data (knots, degrees, control points and weights). Those can either be generated using ``igakit``, created manually or imported from other tools. - Bezier extraction operators and corresponding DOF connectivity (computed by SfePy). - Bezier mesh control points, weights and connectivity (computed by SfePy). The Bezier mesh is used to create a topological Bezier mesh - a subset of the Bezier mesh containing the Bezier element corner vertices only. Those vertices are interpolatory (are on the exact geometry) and so can be used for region selections. Region Selection """""""""""""""" The domain description files contain vertex sets for regions corresponding to the patch sides, named ``'xiIJ'``, where ``I`` is the parametric axis (0, 1, or 2) and ``J`` is 0 or 1 for the beginning and end of the axis knot span. Other regions can be defined in the usual way, using the topological Bezier mesh entities. Examples ^^^^^^^^ The examples demonstrating the use of IGA in SfePy are: - :ref:`diffusion-poisson_iga` - :ref:`linear_elasticity-linear_elastic_iga` - :ref:`navier_stokes-navier_stokes2d_iga` Their problem description files are almost the same as their FEM equivalents, with the following differences: - There is ``filename_domain`` instead of ``filename_mesh``. - Fields are defined as follows:: fields = { 't1' : ('real', 1, 'Omega', None, 'H1', 'iga'), 't2' : ('real', 1, 'Omega', 'iga', 'H1', 'iga'), 't3' : ('real', 1, 'Omega', 'iga+%d', 'H1', 'iga'), } The approximation order in the first definition is ``None`` as it is given by the NURBS degrees in the domain description. The second definition is equivalent to the first one. The third definition, where ``%d`` should be a non-negative integer, illustrates how to increase the field's NURBS degrees (while keeping the continuity) w.r.t. the domain NURBS description. It is applied in the :ref:`navier_stokes-navier_stokes2d_iga` example to the velocity field. .. [1] Michael J. Borden, Michael A. Scott, John A. Evans, Thomas J. R. Hughes: Isogeometric finite element data structures based on Bezier extraction of NURBS, Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, Texas, March 2010. sfepy-release_2015.1/doc/using_salome.rst000066400000000000000000000131031247364230400204170ustar00rootroot00000000000000.. include:: links.inc Using Salome with SfePy ======================= Introduction ------------ *Salome* is a powerful open-source tool for generating meshes for numerical simulation and post processing the results. This is a short tutorial on using *Salome* as a preprocessor for preparing meshes for use with *SfePy*. Tutorial prerequisites ^^^^^^^^^^^^^^^^^^^^^^ This tutorial assumes that you have a working copy of *Salome*. It is possible to build *Salome* from source code. Fortunately, for the less brave, many pre-compiled binaries for different platforms are available at the `Salome download`_ page. Registration for a free account may be required to download from the preceding site. In addition, this tutorial assumes you have a working copy of *SfePy* with MED read support. See the :doc:`../installation` for help. Note that it is not actually necessary to "install" *SfePy*; one may run the code from the source directory (see notation below) after compilation of the C extension modules (again, see the installation notes if you are confused). Note on notation used in this tutorial ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ We are using the following notations: - : the root directory of the *SfePy* source code - : the working directory where you plan to save your files Step 1: Using *Salome* ---------------------- *Salome* has its own set of tutorials and community resources. It is suggested you look around on `Salome web site`_ to familiarize yourself with the available resources. This tutorial follows the EDF Exercise 1 available from the `Salome Tutorial Site`_. Go ahead and complete this tutorial now. We will use the result from there in the following. This is the mesh you should end up with: .. image:: images/using_salome/EDF1_screen10.png :width: 50% Step 2: Exporting mesh from *Salome* ------------------------------------ In the *Salome* MESH module, right click on the mesh object ``Mesh_Partition_Hexa`` you created in the *Salome* EDF Exercise 1 Tutorial and click ``Export to MED file``. Save the file as ``Mesh_Partition_Hexa.med`` in your working directory . Step 3: Copy *SfePy* project description files ---------------------------------------------- In this tutorial, we will assume that we need to solve a linear elasticity problem on the mesh generated by *Salome*. Since the *Salome* mesh looks a bit like a fish, we will try to simulate the fish waving its tail. Copy the file ``/examples/linear_elasticity/linear_elastic.py`` to . Use your favorite python editor to load this file. We will customize this file for our purposes. Step 4: Modify linear_elastic.py -------------------------------- Mesh specification ^^^^^^^^^^^^^^^^^^ The first thing we have to do is tell *SfePy* to use our new mesh. Change the line .. sourcecode:: python filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' to .. sourcecode:: python filename_mesh = 'Mesh_Partition_Hexa.med' Region specification ^^^^^^^^^^^^^^^^^^^^ Next, we have to define sensible Regions for the mesh. We will apply a displacement to the Tail and keep the Top and Bottom of the fish fixed. Change the lines .. sourcecode:: python regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), 'SomewhereTop' : ('vertices in (z > 0.017) & (x > 0.03) & (x < 0.07)', 'vertex'), } to .. sourcecode:: python regions = { 'Omega' : 'all', 'Tail' : ('vertices in (x < -94)', 'facet'), 'TopFixed' : ('vertices in (z > 9.999) & (x > 54)', 'facet'), 'BotFixed' : ('vertices in (z < 0.001) & (x > 54)', 'facet'), } Field specification ^^^^^^^^^^^^^^^^^^^ The *Salome* mesh uses hexahedral linear order elements; in *SfePy* notation these are called ``3_8``, see :doc:`../users_guide`. Just keep the lines .. sourcecode:: python fields = { 'displacement': ('real', 'vector', 'Omega', 1), } Boundary condition specifications ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ In this section, we tell *SfePy* to fix the top and bottom parts of the "head" of the fish and move the tail 10 units to the side (z direction). Change the lines .. sourcecode:: python ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), 'Displaced' : ('Right', {'u.0' : 0.01, 'u.[1,2]' : 0.0}), 'PerturbedSurface' : ('SomewhereTop', {'u.2' : 0.005}), } to .. sourcecode:: python ebcs = { 'TopFixed' : ('TopFixed', {'u.all' : 0.0}), 'BotFixed' : ('BotFixed', {'u.all' : 0.0}), 'Displaced' : ('Tail', {'u.2' : 10, 'u.[0,1]' : 0.0}), } Step 5: Run *SfePy* ------------------- Save your changes to ``linear_elastic.py``. Now it's time to run the *SfePy* calculation. In your in your terminal type:: ./simple.py linear_elastic.py This will run the *SfePy* calculation. Some progress information is printed to your screen and the residual (a measure of the convergence of the solution) is printed for each iteration of the solver. The solver terminates when this residual is less than a certain value. It should only take 1 iteration since we are solving a linear problem. The results will be saved to ``Mesh_Partition_Hexa.vtk``. Now we can view the results of our work. In your terminal, type:: ./postproc.py --wireframe --vector-mode=warp_norm -s 2 Mesh_Partition_Hexa.vtk You should get the following plot. The undeformed mesh is displayed with a wireframe for comparison. Notice how the fish is bending its tail in response to the applied displacement. Now you should be able to use meshes created in *Salome* with *SfePy*! sfepy-release_2015.1/examples/000077500000000000000000000000001247364230400162535ustar00rootroot00000000000000sfepy-release_2015.1/examples/__init__.py000066400000000000000000000000001247364230400203520ustar00rootroot00000000000000sfepy-release_2015.1/examples/acoustics/000077500000000000000000000000001247364230400202505ustar00rootroot00000000000000sfepy-release_2015.1/examples/acoustics/__init__.py000066400000000000000000000000001247364230400223470ustar00rootroot00000000000000sfepy-release_2015.1/examples/acoustics/acoustics.py000066400000000000000000000033071247364230400226220ustar00rootroot00000000000000r""" Acoustic pressure distribution. This example shows how to solve a problem in complex numbers, note the 'accoustic_pressure' field definition. Find :math:`p` such that: .. math:: c^2 \int_{\Omega} \nabla q \cdot \nabla p - w^2 \int_{\Omega} q p - i w c \int_{\Gamma_{out}} q p = i w c^2 \rho v_n \int_{\Gamma_{in}} q \;, \quad \forall q \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/two_rectangles.mesh' v_n = 1.0 # m/s w = 1000.0 c = 343.0 # m/s rho = 1.55 # kg/m^3 options = { 'nls' : 'newton', 'ls' : 'ls', } materials = { 'one' : ({'one' : 1.0},), } regions = { 'Omega' : 'all', 'Gamma_in' : ('vertices in (x < 0.01)', 'facet'), 'Gamma_out' : ('vertices in (x > 0.99)', 'facet'), } fields = { 'accoustic_pressure' : ('complex', 1, 'Omega', 1), } variables = { 'p' : ('unknown field', 'accoustic_pressure', 0), 'q' : ('test field', 'accoustic_pressure', 'p'), } ebcs = { } integrals = { 'i' : 2, } equations = { 'Acoustic pressure' : """%s * dw_laplace.i.Omega( one.one, q, p ) - %s * dw_volume_dot.i.Omega( q, p ) - %s * dw_surface_dot.i.Gamma_out( q, p ) = %s * dw_surface_integrate.i.Gamma_in( q )""" % (c*c, w*w, 1j*w*c, 1j*w*c*c*rho*v_n) } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-1, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-1, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, }) } sfepy-release_2015.1/examples/acoustics/acoustics3d.py000066400000000000000000000060111247364230400230440ustar00rootroot00000000000000r""" Acoustic pressure distribution in 3D. Two Laplace equations, one in :math:`\Omega_1`, other in :math:`\Omega_2`, connected on the interface region :math:`\Gamma_{12}` using traces of variables. Find two complex acoustic pressures :math:`p_1`, :math:`p_2` such that: .. math:: \int_{\Omega} k^2 q p - \int_{\Omega} \nabla q \cdot \nabla p \\ - i w/c \int_{\Gamma_{out}} q p + i w \rho/Z \int_{\Gamma_2} q (p_2 - p_1) + i w \rho/Z \int_{\Gamma_1} q (p_1 - p_2) \\ = i w \rho \int_{\Gamma_{in}} v_n q \;, \quad \forall q \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/acoustics_mesh3d.mesh' freq = 1200 v_n = 1.0 # m/s c = 343.0 # m/s rho = 1.55 # kg/m^3 R = 1000 w = 2.0 * freq k1 = w / c rhoc1 = rho * c coef_k = ((1.0 + 0.1472 * (freq / R)**(-0.577)) + 1j * (-0.1734 * (freq / R)**(-0.595))) coef_r = ((1.0 + 0.0855 * (freq / R)**(-0.754)) + 1j * (-0.0765 * (freq / R)**(-0.732))) k2 = k1 * coef_k rhoc2 = rhoc1 * coef_r # perforation geometry parameters tw = 0.9e-3 dh = 2.49e-3 por = 0.08 # acoustic impedance Z = rho * c / por * (0.006 + 1j * k1 * (tw + 0.375 * dh * (1 + rhoc2/rhoc1 * k2/k1))) regions = { 'Omega' : 'all', 'Omega_1' : 'cells of group 1', 'Omega_2' : 'cells of group 2', 'Gamma_12' : ('r.Omega_1 *v r.Omega_2', 'facet'), 'Gamma_12_1' : ('copy r.Gamma_12', 'facet', 'Omega_1'), 'Gamma_12_2' : ('copy r.Gamma_12', 'facet', 'Omega_2'), 'Gamma_in' : ('vertices in (z < 0.001)', 'facet'), 'Gamma_out' : ('vertices in (z > 0.157)', 'facet'), } materials = { } fields = { 'accoustic_pressure_1' : ('complex', 'scalar', 'Omega_1', 1), 'accoustic_pressure_2' : ('complex', 'scalar', 'Omega_2', 1), } variables = { 'p_1' : ('unknown field', 'accoustic_pressure_1'), 'q_1' : ('test field', 'accoustic_pressure_1', 'p_1'), 'p_2' : ('unknown field', 'accoustic_pressure_2'), 'q_2' : ('test field', 'accoustic_pressure_2', 'p_2'), } ebcs = { } integrals = { 'i' : 2, } equations = { 'Acoustic pressure' : """%s * dw_volume_dot.i.Omega_1(q_1, p_1) + %s * dw_volume_dot.i.Omega_2(q_2, p_2) - dw_laplace.i.Omega_1(q_1, p_1) - dw_laplace.i.Omega_2(q_2, p_2) - %s * dw_surface_dot.i.Gamma_out(q_1, p_1) + %s * dw_jump.i.Gamma_12_1(q_1, p_1, tr(p_2)) + %s * dw_jump.i.Gamma_12_2(q_2, p_2, tr(p_1)) = %s * dw_surface_integrate.i.Gamma_in(q_1)""" % (k1*k1, k2*k2, 1j*k1, 1j*k1*rhoc1 / Z, 1j*k2*rhoc2 / Z, 1j*k1*rhoc1 * v_n) } options = { 'nls': 'newton', 'ls': 'ls', 'file_per_var': True, } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-1, 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, }) } sfepy-release_2015.1/examples/acoustics/vibro_acoustic3d.py000066400000000000000000000102251247364230400240640ustar00rootroot00000000000000r""" Vibro-acoustic problem 3D acoustic domain with 2D perforated deforming interface. *Master problem*: defined in 3D acoustic domain (``vibro_acoustic3d.py``) *Slave subproblem*: 2D perforated interface (``vibro_acoustic3d_mid.py``) Master 3D problem - find :math:`p` (acoustic pressure) and :math:`g` (transversal acoustic velocity) such that: .. math:: c^2 \int_{\Omega} \nabla q \cdot \nabla p - \omega^2 \int_{\Omega} q p + i \omega c \int_{\Gamma_{in}} q p + i \omega c \int_{\Gamma_{out}} q p - i \omega c^2 \int_{\Gamma_0} (q^+ - q^-) g = 2i \omega c \int_{\Gamma_{in}} q \bar{p} \;, \quad \forall q \;, - i \omega \int_{\Gamma_0} f (p^+ - p^-) - \omega^2 \int_{\Gamma_0} F f g + \omega^2 \int_{\Gamma_0} C f w = 0 \;, \quad \forall f \;, Slave 2D subproblem - find :math:`w` (plate deflection) and :math:`\ul{\theta}` (rotation) such that: .. math:: \omega^2 \int_{\Gamma_0} C z g - \omega^2 \int_{\Gamma_0} S z w + \int_{\Gamma_0} \nabla z \cdot \ull{G} \cdot \nabla w - \int_{\Gamma_0} \ul{\theta} \cdot \ull{G} \cdot \nabla z = 0 \;, \quad \forall z \;, - \omega^2 \int_{\Gamma_0} R\, \ul{\nu} \cdot \ul{\theta} + \int_{\Gamma_0} D_{ijkl} e_{ij}(\ul{\nu}) e_{kl}(\ul{\theta}) - \int_{\Gamma_0} \ul{\nu} \cdot \ull{G} \cdot \nabla w + \int_{\Gamma_0} \ul{\nu} \cdot \ull{G} \cdot \ul{\theta} = 0 \;, \quad \forall \ul{\nu} \;, """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/acoustic_wg.vtk' sound_speed = 343.0 wave_num = 5.5 p_inc = 300 c = sound_speed c2 = c**2 w = wave_num * c w2 = w**2 wc = w * c wc2 = w * c2 regions = { 'Omega1': 'cells of group 1', 'Omega2': 'cells of group 2', 'GammaIn': ('vertices of group 1', 'face'), 'GammaOut': ('vertices of group 2', 'face'), 'Gamma_aux': ('r.Omega1 *v r.Omega2', 'face'), 'Gamma0_1': ('copy r.Gamma_aux', 'face', 'Omega1'), 'Gamma0_2': ('copy r.Gamma_aux', 'face', 'Omega2'), 'aux_Left': ('vertices in (x < 0.001)', 'face'), 'aux_Right': ('vertices in (x > 0.299)', 'face'), 'Gamma0_1_Left': ('r.Gamma0_1 *v r.aux_Left', 'edge'), 'Gamma0_1_Right': ('r.Gamma0_1 *v r.aux_Right', 'edge'), } fields = { 'pressure1': ('complex', 'scalar', 'Omega1', 1), 'pressure2': ('complex', 'scalar', 'Omega2', 1), 'tvelocity': ('complex', 'scalar', 'Gamma0_1', 1), 'deflection': ('complex', 'scalar', 'Gamma0_1', 1), } variables = { 'p1': ('unknown field', 'pressure1', 0), 'q1': ('test field', 'pressure1', 'p1'), 'p2': ('unknown field', 'pressure2', 1), 'q2': ('test field', 'pressure2', 'p2'), 'g0': ('unknown field', 'tvelocity', 2), 'f0': ('test field', 'tvelocity', 'g0'), 'w': ('unknown field', 'deflection', 3), 'z': ('test field', 'deflection', 'w'), } ebcs = { 'fixed_l': ('Gamma0_1_Left', {'w.0': 0.0}), 'fixed_r': ('Gamma0_1_Right', {'w.0': 0.0}), } options = { 'file_per_var': True, } functions = { } materials = { 'ac' : ({'F': -2.064e+00, 'c': -1.064e+00}, ), } equations = { 'eq_1' : """ %e * dw_laplace.5.Omega1(q1, p1) + %e * dw_laplace.5.Omega2(q2, p2) - %e * dw_volume_dot.5.Omega1(q1, p1) - %e * dw_volume_dot.5.Omega2(q2, p2) + %s * dw_surface_dot.5.GammaIn(q1, p1) + %s * dw_surface_dot.5.GammaOut(q2, p2) - %s * dw_surface_dot.5.Gamma0_1(q1, g0) + %s * dw_surface_dot.5.Gamma0_2(q2, tr(g0)) = %s * dw_surface_integrate.5.GammaIn(q1)"""\ % (c2, c2, w2, w2, 1j * wc, 1j * wc, 1j * wc2, 1j * wc2, 2j * wc * p_inc), 'eq_2' : """ - %s * dw_surface_dot.5.Gamma0_1(f0, p1) + %s * dw_surface_dot.5.Gamma0_1(f0, tr(p2)) - %e * dw_surface_dot.5.Gamma0_1(ac.F, f0, g0) + %e * dw_surface_dot.5.Gamma0_1(ac.c, f0, w) = 0"""\ % (1j * w, 1j * w, w2, w2), } solvers = { 'ls': ('ls.cm_pb', {'others': [data_dir + '/examples/acoustics/vibro_acoustic3d_mid.py'], 'coupling_variables': ['g0', 'w'], }), 'nls': ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-6, 'eps_r' : 1e-6, }) } sfepy-release_2015.1/examples/acoustics/vibro_acoustic3d_mid.py000066400000000000000000000066401247364230400247230ustar00rootroot00000000000000r""" Vibro-acoustic problem 3D acoustic domain with 2D perforated deforming interface. *Master problem*: defined in 3D acoustic domain (``vibro_acoustic3d.py``) *Slave subproblem*: 2D perforated interface (``vibro_acoustic3d_mid.py``) Master 3D problem - find :math:`p` (acoustic pressure) and :math:`g` (transversal acoustic velocity) such that: .. math:: c^2 \int_{\Omega} \nabla q \cdot \nabla p - \omega^2 \int_{\Omega} q p + i \omega c \int_{\Gamma_{in}} q p + i \omega c \int_{\Gamma_{out}} q p - i \omega c^2 \int_{\Gamma_0} (q^+ - q^-) g = 2i \omega c \int_{\Gamma_{in}} q \bar{p} \;, \quad \forall q \;, - i \omega \int_{\Gamma_0} f (p^+ - p^-) - \omega^2 \int_{\Gamma_0} F f g + \omega^2 \int_{\Gamma_0} C f w = 0 \;, \quad \forall f \;, Slave 2D subproblem - find :math:`w` (plate deflection) and :math:`\ul{\theta}` (rotation) such that: .. math:: \omega^2 \int_{\Gamma_0} C z g - \omega^2 \int_{\Gamma_0} S z w + \int_{\Gamma_0} \nabla z \cdot \ull{G} \cdot \nabla w - \int_{\Gamma_0} \ul{\theta} \cdot \ull{G} \cdot \nabla z = 0 \;, \quad \forall z \;, - \omega^2 \int_{\Gamma_0} R\, \ul{\nu} \cdot \ul{\theta} + \int_{\Gamma_0} D_{ijkl} e_{ij}(\ul{\nu}) e_{kl}(\ul{\theta}) - \int_{\Gamma_0} \ul{\nu} \cdot \ull{G} \cdot \nabla w + \int_{\Gamma_0} \ul{\nu} \cdot \ull{G} \cdot \ul{\theta} = 0 \;, \quad \forall \ul{\nu} \;, """ import numpy as nm from sfepy.mechanics.matcoefs import stiffness_from_lame filename_mesh = '../../meshes/2d/acoustic_wg_mid.vtk' sound_speed = 343.0 wave_num = 5.5 thickness = 0.01 c = sound_speed c2 = c**2 w = wave_num * c w2 = w**2 wc = w * c wc2 = w * c2 regions = { 'Gamma0': 'all', 'Left': ('vertices in (x < 0.001)', 'facet'), 'Right': ('vertices in (x > 0.299)', 'facet'), } fields = { 'deflection': ('complex', 'scalar', 'Gamma0', 1), 'rotation': ('complex', 'vector', 'Gamma0', 1), 'tvelocity': ('complex', 'scalar', 'Gamma0', 1), } variables = { 'w': ('unknown field', 'deflection'), 'z': ('test field', 'deflection', 'w'), 'theta': ('unknown field', 'rotation'), 'nu': ('test field', 'rotation', 'theta'), 'g0': ('unknown field', 'tvelocity'), 'f0': ('test field', 'tvelocity', 'g0'), } ebcs = { 'fixed_l': ('Left', {'w.0': 0.0, 'theta.all': 0.0}), 'fixed_r': ('Right', {'w.0': 0.0, 'theta.all': 0.0}), } options = { } materials = { 'ac' : ({'c': -1.064e+00, 'T': 9.202e-01, 'hG': thickness * 4.5e10 * nm.eye(2), 'hR': thickness * 0.71, 'h3R': thickness**3 / 3.0 * 0.71, 'h3C': thickness**3 / 3.0 * stiffness_from_lame(2, 1e1, 1e0)}, ), } equations = { 'eq_3': """ %e * dw_volume_dot.5.Gamma0(ac.c, z, g0) - %e * dw_volume_dot.5.Gamma0(ac.T, z, w) - %e * dw_volume_dot.5.Gamma0(ac.hR, z, w) + dw_diffusion.5.Gamma0(ac.hG, z, w) - dw_v_dot_grad_s.5.Gamma0(ac.hG, theta, z) = 0"""\ % (w2, w2, w2), 'eq_4': """ - %e * dw_volume_dot.5.Gamma0(ac.h3R, nu, theta) + dw_lin_elastic.5.Gamma0(ac.h3C, nu, theta) - dw_v_dot_grad_s.5.Gamma0(ac.hG, nu, w) + dw_volume_dot.5.Gamma0(ac.hG, nu, theta) = 0"""\ % (w2, ), } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-4, 'eps_r' : 1e-4, }) } sfepy-release_2015.1/examples/biot/000077500000000000000000000000001247364230400172105ustar00rootroot00000000000000sfepy-release_2015.1/examples/biot/__init__.py000066400000000000000000000000001247364230400213070ustar00rootroot00000000000000sfepy-release_2015.1/examples/biot/biot.py000066400000000000000000000051561247364230400205260ustar00rootroot00000000000000r""" Biot problem - deformable porous medium. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} p\ \alpha_{ij} e_{ij}(\ul{v}) = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \alpha_{ij} e_{ij}(\ul{u}) + \int_{\Omega} K_{ij} \nabla_i q \nabla_j p = 0 \;, \quad \forall q \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cube_medium_hexa.mesh' regions = { 'Omega' : 'all', 'Bottom' : ('vertices in (z < -0.4999999)', 'facet'), 'Top' : ('vertices in (z > 0.4999999)', 'facet'), 'Left' : ('vertices in (x < -0.4999999)', 'facet'), } field_1 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : (3,), 'region' : 'Omega', 'approx_order' : 1, } field_2 = { 'name' : 'pressure', 'dtype' : nm.float64, 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } ebcs = { 'fix_u' : ('Bottom', {'u.all' : 0.0}), 'load_u' : ('Top', {'u.2' : 0.2}), 'load_p' : ('Left', {'p.all' : 1.0}), } material_1 = { 'name' : 'm', 'values' : { 'lam' : 1.7, 'mu' : 0.3, 'alpha' : nm.array( [[0.132], [0.132], [0.132], [0.092], [0.092], [0.092]], dtype = nm.float64 ), 'K' : nm.array( [[2.0, 0.2, 0.0], [0.2, 1.0, 0.0], [0.0, 0.0, 0.5]], dtype = nm.float64 ), } } integral_1 = { 'name' : 'i1', 'order' : 1, } integral_2 = { 'name' : 'i2', 'order' : 2, } equations = { 'eq_1' : """dw_lin_elastic_iso.i2.Omega( m.lam, m.mu, v, u ) - dw_biot.i1.Omega( m.alpha, v, p ) = 0""", 'eq_2' : """dw_biot.i1.Omega( m.alpha, u, q ) + dw_diffusion.i1.Omega( m.K, q, p ) = 0""", } solver_0 = { 'name' : 'ls_d', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } sfepy-release_2015.1/examples/biot/biot_npbc.py000066400000000000000000000125761247364230400215340ustar00rootroot00000000000000r""" Biot problem - deformable porous medium with the no-penetration boundary condition on a boundary region. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} p\ \alpha_{ij} e_{ij}(\ul{v}) = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \alpha_{ij} e_{ij}(\ul{u}) + \int_{\Omega} K_{ij} \nabla_i q \nabla_j p = 0 \;, \quad \forall q \;, \ul{u} \cdot \ul{n} = 0 \mbox{ on } \Gamma_{walls} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ import os import numpy as nm from sfepy.linalg import get_coors_in_tube from sfepy.mechanics.matcoefs import stiffness_from_lame def define(): from sfepy import data_dir filename = data_dir + '/meshes/3d/cylinder.mesh' output_dir = 'output' return define_input(filename, output_dir) def cinc_simple(coors, mode): axis = nm.array([1, 0, 0], nm.float64) if mode == 0: # In centre = nm.array([0.0, 0.0, 0.0], nm.float64) radius = 0.019 length = 0.00002 elif mode == 1: # Out centre = nm.array([0.1, 0.0, 0.0], nm.float64) radius = 0.019 length = 0.00002 elif mode == 2: # Rigid centre = nm.array([0.05, 0.0, 0.0], nm.float64) radius = 0.015 length = 0.03 else: raise ValueError('unknown mode %s!' % mode) return get_coors_in_tube(coors, centre, axis, -1, radius, length) def define_regions(filename): if filename.find('simple.mesh'): dim = 3 regions = { 'Omega' : 'all', 'Walls' : ('vertices of surface -v (r.Outlet +f r.Inlet)', 'facet'), 'Inlet' : ('vertices by cinc_simple0', 'facet'), 'Outlet' : ('vertices by cinc_simple1', 'facet'), 'Rigid' : 'vertices by cinc_simple2', } else: raise ValueError('unknown mesh %s!' % filename) return regions, dim def get_pars(ts, coor, mode, output_dir='.', **kwargs): if mode == 'qp': n_nod, dim = coor.shape sym = (dim + 1) * dim / 2 out = {} out['D'] = nm.tile(stiffness_from_lame(dim, lam=1.7, mu=0.3), (coor.shape[0], 1, 1)) aa = nm.zeros((sym, 1), dtype=nm.float64) aa[:dim] = 0.132 aa[dim:sym] = 0.092 out['alpha'] = nm.tile(aa, (coor.shape[0], 1, 1)) perm = nm.eye(dim, dtype=nm.float64) out['K'] = nm.tile(perm, (coor.shape[0], 1, 1)) return out def post_process(out, pb, state, extend=False): from sfepy.base.base import Struct dvel = pb.evaluate('ev_diffusion_velocity.i.Omega( m.K, p )', mode='el_avg') out['dvel'] = Struct(name='output_data', mode='cell', data=dvel, dofs=None) stress = pb.evaluate('ev_cauchy_stress.i.Omega( m.D, u )', mode='el_avg') out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out def define_input(filename, output_dir): filename_mesh = filename options = { 'output_dir' : output_dir, 'output_format' : 'vtk', 'post_process_hook' : 'post_process', 'ls' : 'ls', 'nls' : 'newton', } functions = { 'cinc_simple0' : (lambda coors, domain: cinc_simple(coors, 0),), 'cinc_simple1' : (lambda coors, domain: cinc_simple(coors, 1),), 'cinc_simple2' : (lambda coors, domain: cinc_simple(coors, 2),), 'get_pars' : (lambda ts, coors, mode=None, **kwargs: get_pars(ts, coors, mode, output_dir=output_dir, **kwargs),), } regions, dim = define_regions(filename_mesh) field_1 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : dim, 'region' : 'Omega', 'approx_order' : 1, } field_2 = { 'name' : 'pressure', 'dtype' : nm.float64, 'shape' : 1, 'region' : 'Omega', 'approx_order' : 1, } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } ebcs = { 'inlet' : ('Inlet', {'p.0' : 1.0, 'u.all' : 0.0}), 'outlet' : ('Outlet', {'p.0' : -1.0}), } lcbcs = { 'rigid' : ('Outlet', {'u.all' : None}, None, 'rigid'), 'no_penetration' : ('Walls', {'u.all' : None}, None, 'no_penetration', None), } material_1 = { 'name' : 'm', 'function' : 'get_pars', } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'eq_1' : """dw_lin_elastic.i.Omega( m.D, v, u ) - dw_biot.i.Omega( m.alpha, v, p ) = 0""", 'eq_2' : """dw_biot.i.Omega( m.alpha, u, q ) + dw_diffusion.i.Omega( m.K, q, p ) = 0""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', # Direct solver. } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', } return locals() sfepy-release_2015.1/examples/biot/biot_npbc_lagrange.py000066400000000000000000000077211247364230400233700ustar00rootroot00000000000000r""" Biot problem - deformable porous medium with the no-penetration boundary condition on a boundary region enforced using Lagrange multipliers. The non-penetration condition is enforced weakly using the Lagrange multiplier :math:`\lambda`. There is also a rigid body movement constraint imposed on the :math:`\Gamma_{outlet}` region using the linear combination boundary conditions. Find :math:`\ul{u}`, :math:`p` and :math:`\lambda` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} p\ \alpha_{ij} e_{ij}(\ul{v}) + \int_{\Gamma_{walls}} \lambda \ul{n} \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \alpha_{ij} e_{ij}(\ul{u}) + \int_{\Omega} K_{ij} \nabla_i q \nabla_j p = 0 \;, \quad \forall q \;, \int_{\Gamma_{walls}} \hat\lambda \ul{n} \cdot \ul{u} = 0 \;, \quad \forall \hat\lambda \;, \ul{u} \cdot \ul{n} = 0 \mbox{ on } \Gamma_{walls} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from biot_npbc import cinc_simple, define_regions, get_pars def define(): from sfepy import data_dir filename = data_dir + '/meshes/3d/cylinder.mesh' output_dir = 'output' return define_input(filename, output_dir) def post_process(out, pb, state, extend=False): from sfepy.base.base import Struct dvel = pb.evaluate('ev_diffusion_velocity.2.Omega( m.K, p )', mode='el_avg') out['dvel'] = Struct(name='output_data', var_name='p', mode='cell', data=dvel, dofs=None) stress = pb.evaluate('ev_cauchy_stress.2.Omega( m.D, u )', mode='el_avg') out['cauchy_stress'] = Struct(name='output_data', var_name='u', mode='cell', data=stress, dofs=None) return out def define_input(filename, output_dir): filename_mesh = filename options = { 'output_dir' : output_dir, 'output_format' : 'vtk', 'post_process_hook' : 'post_process', ## 'file_per_var' : True, 'ls' : 'ls', 'nls' : 'newton', } functions = { 'cinc_simple0' : (lambda coors, domain: cinc_simple(coors, 0),), 'cinc_simple1' : (lambda coors, domain: cinc_simple(coors, 1),), 'cinc_simple2' : (lambda coors, domain: cinc_simple(coors, 2),), 'get_pars' : (lambda ts, coors, mode=None, **kwargs: get_pars(ts, coors, mode, output_dir=output_dir, **kwargs),), } regions, dim = define_regions(filename_mesh) fields = { 'displacement': ('real', 'vector', 'Omega', 1), 'pressure': ('real', 'scalar', 'Omega', 1), 'multiplier': ('real', 'scalar', 'Walls', 1), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), 'ul' : ('unknown field', 'multiplier', 2), 'vl' : ('test field', 'multiplier', 'ul'), } ebcs = { 'inlet' : ('Inlet', {'p.0' : 1.0, 'u.all' : 0.0}), 'outlet' : ('Outlet', {'p.0' : -1.0}), } lcbcs = { 'rigid' : ('Outlet', {'u.all' : None}, None, 'rigid'), } materials = { 'm' : 'get_pars', } equations = { 'eq_1' : """dw_lin_elastic.2.Omega( m.D, v, u ) - dw_biot.2.Omega( m.alpha, v, p ) + dw_non_penetration.2.Walls( v, ul ) = 0""", 'eq_2' : """dw_biot.2.Omega( m.alpha, u, q ) + dw_diffusion.2.Omega( m.K, q, p ) = 0""", 'eq_3' : """dw_non_penetration.2.Walls( u, vl ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {}), } return locals() sfepy-release_2015.1/examples/diffusion/000077500000000000000000000000001247364230400202415ustar00rootroot00000000000000sfepy-release_2015.1/examples/diffusion/__init__.py000066400000000000000000000000001247364230400223400ustar00rootroot00000000000000sfepy-release_2015.1/examples/diffusion/cube.py000066400000000000000000000055411247364230400215360ustar00rootroot00000000000000r""" Laplace equation (e.g. temperature distribution) on a cube geometry with different boundary condition values on the cube sides. This example was used to create the SfePy logo. Find :math:`T` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. """ from sfepy import data_dir #filename_mesh = data_dir + '/meshes/3d/cube_big_tetra.mesh' filename_mesh = data_dir + '/meshes/3d/cube_medium_hexa.mesh' ############# Laplace. material_1 = { 'name' : 'coef', 'values' : {'val' : 1.0}, } field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } if filename_mesh.find('cube_medium_hexa.mesh') >= 0: region_1000 = { 'name' : 'Omega', 'select' : 'cells of group 0', } integral_1 = { 'name' : 'i', 'order' : 1, } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } elif filename_mesh.find('cube_big_tetra.mesh') >= 0: region_1000 = { 'name' : 'Omega', 'select' : 'cells of group 6', } integral_1 = { 'name' : 'i', 'quadrature' : 'custom', 'vals' : [[1./3., 1./3., 1./3.]], 'weights' : [0.5] } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_iterative', 'method' : 'cg', 'i_max' : 1000, 'eps_r' : 1e-12, } variable_1 = { 'name' : 'T', 'kind' : 'unknown field', 'field' : 'temperature', 'order' : 0, # order in the global vector of unknowns } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'temperature', 'dual' : 'T', } region_0 = { 'name' : 'Surface', 'select' : 'vertices of surface', 'kind' : 'facet', } region_1 = { 'name' : 'Bottom', 'select' : 'vertices in (z < -0.4999999)', 'kind' : 'facet', } region_2 = { 'name' : 'Top', 'select' : 'vertices in (z > 0.4999999)', 'kind' : 'facet', } region_03 = { 'name' : 'Left', 'select' : 'vertices in (x < -0.4999999)', 'kind' : 'facet', } ebc_1 = { 'name' : 'T0', 'region' : 'Surface', 'dofs' : {'T.0' : -3.0}, } ebc_4 = { 'name' : 'T1', 'region' : 'Top', 'dofs' : {'T.0' : 1.0}, } ebc_3 = { 'name' : 'T2', 'region' : 'Bottom', 'dofs' : {'T.0' : -1.0}, } ebc_2 = { 'name' : 'T3', 'region' : 'Left', 'dofs' : {'T.0' : 2.0}, } equations = { 'nice_equation' : """dw_laplace.i.Omega( coef.val, s, T ) = 0""", } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } sfepy-release_2015.1/examples/diffusion/laplace_1d.py000066400000000000000000000043521247364230400226040ustar00rootroot00000000000000r""" Laplace equation in 1D with a variable coefficient. Because the mesh is trivial in 1D, it is generated by :func:`mesh_hook()`, and registered using :class:`UserMeshIO `. Find :math:`t` such that: .. math:: \int_{\Omega} c(x) \tdiff{s}{x} \tdiff{t}{x} = 0 \;, \quad \forall s \;, where the coefficient :math:`c(x) = 0.1 + \sin(2 \pi x)^2` is computed in :func:`get_coef()`. View the results using:: $ ./postproc.py -b -d't,plot_warp_scalar,rel_scaling=1' --wireframe --view=-90,90,1.5,0,0,0 --roll=0 laplace_1d.vtk """ import numpy as nm from sfepy.discrete.fem import Mesh from sfepy.discrete.fem.meshio import UserMeshIO def mesh_hook(mesh, mode): """ Generate the 1D mesh. """ if mode == 'read': n_nod = 101 coors = nm.linspace(0.0, 1.0, n_nod).reshape((n_nod, 1)) conn = nm.arange(n_nod, dtype=nm.int32).repeat(2)[1:-1].reshape((-1, 2)) mat_ids = nm.zeros(n_nod - 1, dtype=nm.int32) descs = ['1_2'] * n_nod mesh = Mesh.from_data('laplace_1d', coors, None, [conn], [mat_ids], descs) return mesh elif mode == 'write': pass def get_coef(ts, coors, mode=None, **kwargs): if mode == 'qp': x = coors[:, 0] val = 0.1 + nm.sin(2 * nm.pi * x)**2 val.shape = (coors.shape[0], 1, 1) return {'val' : val} filename_mesh = UserMeshIO(mesh_hook) materials = { 'coef' : 'get_coef', } functions = { 'get_coef' : (get_coef,), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.99999)', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 't1' : ('Gamma_Left', {'t.0' : 0.3}), 't2' : ('Gamma_Right', {'t.0' : -0.3}), } integrals = { 'i' : 2, } equations = { 'Temperature' : """dw_laplace.i.Omega(coef.val, s, t) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', 'ls' : 'ls', } sfepy-release_2015.1/examples/diffusion/laplace_coupling_lcbcs.py000066400000000000000000000076671247364230400253020ustar00rootroot00000000000000r""" Two Laplace equations with multiple linear combination constraints. The two equations are coupled by a periodic-like boundary condition constraint with a shift, given as a non-homogeneous linear combination boundary condition. Find :math:`u` such that: .. math:: \int_{\Omega_1} \nabla v_1 \cdot \nabla u_1 = 0 \;, \quad \forall v_1 \;, \int_{\Omega_2} \nabla v_2 \cdot \nabla u_2 = 0 \;, \quad \forall v_2 \;, u_1 = 0 \mbox{ on } \Gamma_{bottom} \;, u_2 = 1 \mbox{ on } \Gamma_{top} \;, u_1(\ul{x}) = u_2(\ul{x}) + a(\ul{x}) \mbox{ for } \ul{x} \in \Gamma = \bar\Omega_1 \cap \bar\Omega_2 u_1(\ul{x}) = u_1(\ul{y}) + b(\ul{y}) \mbox{ for } \ul{x} \in \Gamma_{left}, \ul{y} \in \Gamma_{right}, \ul{y} = P(\ul{x}) \;, u_1 = c_{11} \mbox{ in } \Omega_{m11} \subset \Omega_1 \;, u_1 = c_{12} \mbox{ in } \Omega_{m12} \subset \Omega_1 \;, u_2 = c_2 \mbox{ in } \Omega_{m2} \subset \Omega_2 \;, where :math:`a(\ul{x})`, :math:`b(\ul{y})` are given functions (shifts), :math:`P` is the periodic coordinate mapping and :math:`c_{11}`, :math:`c_{12}` and :math:`c_2` are unknown constant values - the unknown DOFs in :math:`\Omega_{m11}`, :math:`\Omega_{m12}` and :math:`\Omega_{m2}` are replaced by the integral mean values. View the results using:: $ ./postproc.py square_quad.vtk -b --wireframe -d'u1,plot_warp_scalar,rel_scaling=1:u2,plot_warp_scalar,rel_scaling=1' """ import numpy as nm import sfepy.discrete.fem.periodic as per from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/square_quad.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', } def get_shift1(ts, coors, region): val = 0.1 * coors[:, 0] return val def get_shift2(ts, coors, region): val = nm.empty_like(coors[:, 1]) val.fill(0.3) return val functions = { 'get_shift1' : (get_shift1,), 'get_shift2' : (get_shift2,), 'match_y_line' : (per.match_y_line,), 'match_x_line' : (per.match_x_line,), } fields = { 'scalar1': ('real', 1, 'Omega1', 1), 'scalar2': ('real', 1, 'Omega2', 1), } materials = { } variables = { 'u1' : ('unknown field', 'scalar1', 0), 'v1' : ('test field', 'scalar1', 'u1'), 'u2' : ('unknown field', 'scalar2', 1), 'v2' : ('test field', 'scalar2', 'u2'), } regions = { 'Omega1' : 'cells of group 1', 'Omega2' : 'cells of group 2', 'Omega_m1' : 'r.Omega1 -v (r.Gamma +s vertices of surface)', 'Omega_m11' : 'r.Omega_m1 *v vertices in (x < 0)', 'Omega_m12' : 'r.Omega_m1 *v vertices in (x > 0)', 'Omega_m2' : 'r.Omega2 -v (r.Gamma +s vertices of surface)', 'Left' : ('vertices in (x < -0.499)', 'facet'), 'Right' : ('vertices in (x > 0.499)', 'facet'), 'Bottom' : ('vertices in ((y < -0.499))', 'facet'), 'Top' : ('vertices in ((y > 0.499))', 'facet'), 'Gamma' : ('r.Omega1 *v r.Omega2 -v vertices of surface', 'facet'), 'Gamma1' : ('copy r.Gamma', 'facet', 'Omega1'), 'Gamma2' : ('copy r.Gamma', 'facet', 'Omega2'), } ebcs = { 'fix1' : ('Top', {'u2.all' : 1.0}), 'fix2' : ('Bottom', {'u1.all' : 0.0}), } lcbcs = { 'shifted1' : (('Gamma1', 'Gamma2'), {'u1.all' : 'u2.all'}, 'match_x_line', 'shifted_periodic', 'get_shift1'), 'shifted2' : (('Left', 'Right'), {'u1.all' : 'u1.all'}, 'match_y_line', 'shifted_periodic', 'get_shift2'), 'mean11' : ('Omega_m11', {'u1.all' : None}, None, 'integral_mean_value'), 'mean12' : ('Omega_m12', {'u1.all' : None}, None, 'integral_mean_value'), 'mean2' : ('Omega_m2', {'u2.all' : None}, None, 'integral_mean_value'), } integrals = { 'i1' : 2, } equations = { 'eq1' : """ dw_laplace.i1.Omega1(v1, u1) = 0 """, 'eq2' : """ dw_laplace.i1.Omega2(v2, u2) = 0 """, } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/diffusion/laplace_time_ebcs.py000066400000000000000000000036001247364230400242250ustar00rootroot00000000000000r""" Example explaining how to change Dirichlet boundary conditions depending on time. It is shown on the stationary Laplace equation for temperature, so there is no dynamics, only the conditions change with time. Five time steps are solved on a cube domain, with the temperature fixed to zero on the bottom face, and set to other values on the left, right and top faces in different time steps. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = 0 \;, \quad \forall s \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cube_medium_tetra.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -0.499)', 'facet'), 'Right' : ('vertices in (x > 0.499)', 'facet'), 'Bottom' : ('vertices in (z < -0.499)', 'facet'), 'Top' : ('vertices in (z > 0.499)', 'facet'), } materials = { 'one' : ({'val' : 1.0},), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 'fixed' : ('Bottom', {'t.all' : 0}), 't_t02' : ('Left', [(-0.5, 0.5), (2.5, 3.5)], {'t.all' : 1.0}), 't_t1' : ('Right', [(0.5, 1.5)], {'t.all' : 2.0}), 't_t4' : ('Top', 'is_ebc', {'t.all' : 3.0}), } def is_ebc(ts): if ts.step in (2, 4): return True else: return False functions = { 'is_ebc' : (is_ebc,), } equations = { 'eq' : """dw_laplace.2.Omega( one.val, s, t ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), 'ts' : ('ts.simple', { 't0' : 0.0, 't1' : 4.0, 'dt' : None, 'n_step' : 5, # has precedence over dt! 'quasistatic' : True, }), } sfepy-release_2015.1/examples/diffusion/poisson.py000066400000000000000000000037431247364230400223140ustar00rootroot00000000000000r""" Laplace equation using the long syntax of keywords. See the tutorial section :ref:`poisson-example-tutorial` for a detailed explanation. See :ref:`diffusion-poisson_short_syntax` for the short syntax version. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = 0 \;, \quad \forall s \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' material_2 = { 'name' : 'coef', 'values' : {'val' : 1.0}, } region_1000 = { 'name' : 'Omega', 'select' : 'cells of group 6', } region_03 = { 'name' : 'Gamma_Left', 'select' : 'vertices in (x < 0.00001)', 'kind' : 'facet', } region_4 = { 'name' : 'Gamma_Right', 'select' : 'vertices in (x > 0.099999)', 'kind' : 'facet', } field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variable_1 = { 'name' : 't', 'kind' : 'unknown field', 'field' : 'temperature', 'order' : 0, # order in the global vector of unknowns } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'temperature', 'dual' : 't', } ebc_1 = { 'name' : 't1', 'region' : 'Gamma_Left', 'dofs' : {'t.0' : 2.0}, } ebc_2 = { 'name' : 't2', 'region' : 'Gamma_Right', 'dofs' : {'t.0' : -2.0}, } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', 'method' : 'auto', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } options = { 'nls' : 'newton', 'ls' : 'ls', } sfepy-release_2015.1/examples/diffusion/poisson_field_dependent_material.py000066400000000000000000000044421247364230400273600ustar00rootroot00000000000000r""" Laplace equation with a field-dependent material parameter. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega} c(T) \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. where :math:`c(T)` is the :math:`T` dependent diffusion coefficient. Each iteration calculates :math:`T` and adjusts :math:`c(T)`. """ from sfepy import data_dir from sfepy.base.base import output filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' t0 = 0.0 t1 = 0.1 n_step = 11 def get_conductivity(ts, coors, problem, equations=None, mode=None, **kwargs): """ Calculates the conductivity as 2+10*T and returns it. This relation results in larger T gradients where T is small. """ if mode == 'qp': # T-field values in quadrature points coordinates given by integral i # - they are the same as in `coors` argument. T_values = problem.evaluate('ev_volume_integrate.i.Omega(T)', mode='qp', verbose=False) val = 2 + 10 * (T_values + 2) output('conductivity: min:', val.min(), 'max:', val.max()) val.shape = (val.shape[0] * val.shape[1], 1, 1) return {'val' : val} materials = { 'coef' : 'get_conductivity', } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 'T' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 'T'), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } ebcs = { 'T1' : ('Gamma_Left', {'T.0' : 2.0}), 'T2' : ('Gamma_Right', {'T.0' : -2.0}), } functions = { 'get_conductivity' : (get_conductivity,), } ics = { 'ic' : ('Omega', {'T.0' : 0.0}), } integrals = { 'i' : 1, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, T ) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, }), 'ts' : ('ts.simple', { 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, # has precedence over dt! 'quasistatic' : True, }), } options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, } sfepy-release_2015.1/examples/diffusion/poisson_functions.py000066400000000000000000000075031247364230400244020ustar00rootroot00000000000000r""" Poisson equation with source term. Find :math:`u` such that: .. math:: \int_{\Omega} c \nabla v \cdot \nabla u = - \int_{\Omega_L} b v = - \int_{\Omega_L} f v p \;, \quad \forall v \;, where :math:`b(x) = f(x) p(x)`, :math:`p` is a given FE field and :math:`f` is a given general function of space. This example demonstrates use of functions for defining material parameters, regions, parameter variables or boundary conditions. Notably, it demonstrates the following: 1. How to define a material parameter by an arbitrary function - see the function :func:`get_pars()` that evaluates :math:`f(x)` in quadrature points. 2. How to define a known function that belongs to a given FE space (field) - this function, :math:`p(x)`, is defined in a FE sense by its nodal values only - see the function :func:`get_load_variable()`. In order to define the load :math:`b(x)` directly, the term ``dw_volume_dot`` should be replaced by ``dw_volume_integrate``. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', } materials = { 'm' : ({'c' : 1.0},), 'load' : 'get_pars', } regions = { 'Omega' : 'all', 'Omega_L' : 'vertices by get_middle_ball', 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), 'velocity' : ('real', 'vector', 'Omega', 1), } variables = { 'u' : ('unknown field', 'temperature', 0), 'v' : ('test field', 'temperature', 'u'), 'p' : ('parameter field', 'temperature', {'setter' : 'get_load_variable'}), 'w' : ('parameter field', 'velocity', {'setter' : 'get_convective_velocity'}), } ebcs = { 'u1' : ('Gamma_Left', {'u.0' : 'get_ebc'}), 'u2' : ('Gamma_Right', {'u.0' : -2.0}), } integrals = { 'i' : 1, } equations = { 'Laplace equation' : """dw_laplace.i.Omega( m.c, v, u ) - dw_convect_v_grad_s.i.Omega( v, w, u ) = - dw_volume_dot.i.Omega_L( load.f, v, p )""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } def get_pars(ts, coors, mode=None, **kwargs): """ Evaluate the coefficient `load.f` in quadrature points `coors` using a function of space. For scalar parameters, the shape has to be set to `(coors.shape[0], 1, 1)`. """ if mode == 'qp': x = coors[:, 0] val = 55.0 * (x - 0.05) val.shape = (coors.shape[0], 1, 1) return {'f' : val} def get_middle_ball(coors, domain=None): """ Get the :math:`\Omega_L` region as a function of mesh coordinates. """ x, y, z = coors[:, 0], coors[:, 1], coors[:, 2] r1 = nm.sqrt((x - 0.025)**2.0 + y**2.0 + z**2) r2 = nm.sqrt((x - 0.075)**2.0 + y**2.0 + z**2) flag = nm.where((r1 < 2.3e-2) | (r2 < 2.3e-2))[0] return flag def get_load_variable(ts, coors, region=None): """ Define nodal values of 'p' in the nodal coordinates `coors`. """ y = coors[:,1] val = 5e5 * y return val def get_convective_velocity(ts, coors, region=None): """ Define nodal values of 'w' in the nodal coordinates `coors`. """ val = 100.0 * nm.ones_like(coors) return val def get_ebc(coors, amplitude): """ Define the essential boundary conditions as a function of coordinates `coors` of region nodes. """ z = coors[:, 2] val = amplitude * nm.sin(z * 2.0 * nm.pi) return val functions = { 'get_pars' : (get_pars,), 'get_load_variable' : (get_load_variable,), 'get_convective_velocity' : (get_convective_velocity,), 'get_middle_ball' : (get_middle_ball,), 'get_ebc' : (lambda ts, coor, bc, problem, **kwargs: get_ebc(coor, 5.0),), } sfepy-release_2015.1/examples/diffusion/poisson_iga.py000066400000000000000000000030501247364230400231230ustar00rootroot00000000000000r""" Poisson equation solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = \int_{\Omega_0} f s \;, \quad \forall s \;. Try setting the Dirichlet boundary condition (ebcs) on various sides of the domain (``'Gamma1'``, ..., ``'Gamma4'``). View the results using:: $ ./postproc.py patch2d.vtk --wireframe -b $ ./postproc.py patch2d.vtk --wireframe -b -d't,plot_warp_scalar,rel_scaling=1' """ from sfepy import data_dir filename_domain = data_dir + '/meshes/iga/patch2d.iga' materials = { 'm' : ({'c' : 1.0, 'f' : -10.0},), } regions = { 'Omega' : 'all', 'Omega_0' : 'vertices in (x > 1.5)', 'Gamma1' : ('vertices of set xi00', 'facet'), 'Gamma2' : ('vertices of set xi01', 'facet'), 'Gamma3' : ('vertices of set xi10', 'facet'), 'Gamma4' : ('vertices of set xi11', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', None, 'H1', 'iga'), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 't1' : ('Gamma3', {'t.0' : 2.0}), 't2' : ('Gamma4', {'t.0' : -2.0}), } integrals = { 'i' : 3, } equations = { 'Temperature' : """dw_laplace.i.Omega(m.c, s, t) = dw_volume_lvf.i.Omega_0(m.f, s)""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', 'ls' : 'ls', } sfepy-release_2015.1/examples/diffusion/poisson_neumann.py000066400000000000000000000026341247364230400240330ustar00rootroot00000000000000r""" Poisson equation with Neumann boundary conditions on a part of the boundary. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = \int_{\Gamma_N} s g \;, \quad \forall s \;, where :math:`g` is the given flux, :math:`g = \nabla T \cdot \ul{n}`. See the tutorial section :ref:`poisson-weak-form-tutorial` for a detailed explanation. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' materials = { 'flux' : ({'val' : -50.0},), 'coef' : ({'val' : 2.0},), } regions = { 'Omega' : 'all', # or 'cells of group 6' 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), 'Gamma_N' : ('vertices of surface -f (r.Gamma_Left +v r.Gamma_Right)', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 't1' : ('Gamma_Left', {'t.0' : 2.0}), 't2' : ('Gamma_Right', {'t.0' : -2.0}), } equations = { 'Temperature' : """ dw_laplace.2.Omega(coef.val, s, t) = dw_surface_integrate.2.Gamma_N(flux.val, s) """ } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', 'ls' : 'ls', } sfepy-release_2015.1/examples/diffusion/poisson_parametric_study.py000066400000000000000000000127311247364230400257500ustar00rootroot00000000000000r""" Poisson equation. This example demonstrates parametric study capabilities of Application classes. In particular (written in the strong form): .. math:: c \Delta t = f \mbox{ in } \Omega, t = 2 \mbox{ on } \Gamma_1 \;, t = -2 \mbox{ on } \Gamma_2 \;, f = 1 \mbox{ in } \Omega_1 \;, f = 0 \mbox{ otherwise,} where :math:`\Omega` is a square domain, :math:`\Omega_1 \in \Omega` is a circular domain. Now let's see what happens if :math:`\Omega_1` diameter changes. Run:: $ ./simple.py and then look in 'output/r_omega1' directory, try for example:: $ ./postproc.py output/r_omega1/circles_in_square*.vtk Remark: this simple case could be achieved also by defining :math:`\Omega_1` by a time-dependent function and solve the static problem as a time-dependent problem. However, the approach below is much more general. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = 0 \;, \quad \forall s \;. """ import os import numpy as nm from sfepy import data_dir from sfepy.base.base import output # Mesh. filename_mesh = data_dir + '/meshes/2d/special/circles_in_square.vtk' # Options. The value of 'parametric_hook' is the function that does the # parametric study. options = { 'nls' : 'newton', # Nonlinear solver 'ls' : 'ls', # Linear solver 'parametric_hook' : 'vary_omega1_size', 'output_dir' : 'output/r_omega1', } # Domain and subdomains. default_diameter = 0.25 regions = { 'Omega' : 'all', 'Gamma_1' : ('vertices in (x < -0.999)', 'facet'), 'Gamma_2' : ('vertices in (x > 0.999)', 'facet'), 'Omega_1' : 'vertices by select_circ', } # FE field defines the FE approximation: 2_3_P1 = 2D, P1 on triangles. field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } # Unknown and test functions (FE sense). variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } # Dirichlet boundary conditions. ebcs = { 't1' : ('Gamma_1', {'t.0' : 2.0}), 't2' : ('Gamma_2', {'t.0' : -2.0}), } # Material coefficient c and source term value f. material_1 = { 'name' : 'coef', 'values' : { 'val' : 1.0, } } material_2 = { 'name' : 'source', 'values' : { 'val' : 10.0, } } # Numerical quadrature and the equation. integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'Poisson' : """dw_laplace.i.Omega( coef.val, s, t ) = dw_volume_lvf.i.Omega_1( source.val, s )""" } # Solvers. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } functions = { 'select_circ': (lambda coors, domain=None: select_circ(coors[:,0], coors[:,1], 0, default_diameter),), } # Functions. def select_circ( x, y, z, diameter ): """Select circular subdomain of a given diameter.""" r = nm.sqrt( x**2 + y**2 ) out = nm.where(r < diameter)[0] n = out.shape[0] if n <= 3: raise ValueError( 'too few vertices selected! (%d)' % n ) return out def vary_omega1_size( problem ): """Vary size of \Omega1. Saves also the regions into options['output_dir']. Input: problem: Problem instance Return: a generator object: 1. creates new (modified) problem 2. yields the new (modified) problem and output container 3. use the output container for some logging 4. yields None (to signal next iteration to Application) """ from sfepy.discrete import Problem from sfepy.solvers.ts import get_print_info output.prefix = 'vary_omega1_size:' diameters = nm.linspace( 0.1, 0.6, 7 ) + 0.001 ofn_trunk, output_format = problem.ofn_trunk, problem.output_format output_dir = problem.output_dir join = os.path.join conf = problem.conf cf = conf.get_raw( 'functions' ) n_digit, aux, d_format = get_print_info( len( diameters ) + 1 ) for ii, diameter in enumerate( diameters ): output( 'iteration %d: diameter %3.2f' % (ii, diameter) ) cf['select_circ'] = (lambda coors, domain=None: select_circ(coors[:,0], coors[:,1], 0, diameter),) conf.edit('functions', cf) problem = Problem.from_conf(conf) problem.save_regions( join( output_dir, ('regions_' + d_format) % ii ), ['Omega_1'] ) region = problem.domain.regions['Omega_1'] if not region.has_cells(): raise ValueError('region %s has no cells!' % region.name) ofn_trunk = ofn_trunk + '_' + (d_format % ii) problem.setup_output(output_filename_trunk=ofn_trunk, output_dir=output_dir, output_format=output_format) out = [] yield problem, out out_problem, state = out[-1] filename = join( output_dir, ('log_%s.txt' % d_format) % ii ) fd = open( filename, 'w' ) log_item = '$r(\Omega_1)$: %f\n' % diameter fd.write( log_item ) fd.write( 'solution:\n' ) nm.savetxt(fd, state()) fd.close() yield None sfepy-release_2015.1/examples/diffusion/poisson_periodic_boundary_condition.py000066400000000000000000000100411247364230400301300ustar00rootroot00000000000000r""" Transient Laplace equation with a localized power source and periodic boundary conditions. This example is using a mesh generated by gmsh. Both the .geo script used by gmsh to generate the file and the .mesh file can be found in meshes. The mesh is suitable for periodic boundary conditions. It consists of a cylinder enclosed by a box in the x and y directions. The cylinder will act as a power source. The transient Laplace equation will be solved in time interval :math:`t \in [0, t_{\rm final}]`. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega}c s \pdiff{T}{t} + \int_{\Omega} \sigma_2 \nabla s \cdot \nabla T = \int_{\Omega_2} P_3 T \;, \quad \forall s \;. """ from sfepy import data_dir import numpy as nm import sfepy.discrete.fem.periodic as per filename_mesh = data_dir + '/meshes/3d/cylinder_in_box.mesh' t0 = 0.0 t1 = 1. n_step = 11 power_per_volume =1.e2 # Heating power per volume of the cylinder capacity_cylinder = 1. # Heat capacity of cylinder capacity_fill = 1. # Heat capacity of filling material conductivity_cylinder = 1. # Heat conductivity of cylinder conductivity_fill = 1. # Heat conductivity of filling material def cylinder_material_func(ts, coors, problem, mode=None, **kwargs): """ Returns the thermal conductivity, the thermal mass, and the power of the material in the cylinder. """ if mode == 'qp': shape = (coors.shape[0], 1, 1) power = nm.empty(shape, dtype=nm.float64) if ts.step < 5: # The power is turned on in the first 5 steps only. power.fill(power_per_volume) else: power.fill(0.0) conductivity = nm.ones(shape) * conductivity_cylinder capacity = nm.ones(shape) * capacity_cylinder return {'power' : power, 'capacity' : capacity, 'conductivity' : conductivity} materials = { 'cylinder' : 'cylinder_material_func', 'fill' : ({'capacity' : capacity_fill, 'conductivity' : conductivity_fill,},), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 'T' : ('unknown field', 'temperature', 1, 1), 's' : ('test field', 'temperature', 'T'), } regions = { 'Omega' : 'all', 'cylinder' : 'cells of group 444', 'fill' : 'cells of group 555', 'Gamma_Left' : ('vertices in (x < -2.4999)', 'facet'), 'y+' : ('vertices in (y >2.4999)', 'facet'), 'y-' : ('vertices in (y <-2.4999)', 'facet'), 'z+' : ('vertices in (z >0.4999)', 'facet'), 'z-' : ('vertices in (z <-0.4999)', 'facet'), } ebcs = { 'T1' : ('Gamma_Left', {'T.0' : 0.0}), } # The matching functions link the elements on each side with that on the # opposing side. functions = { 'cylinder_material_func' : (cylinder_material_func,), "match_y_plane" : (per.match_y_plane,), "match_z_plane" : (per.match_z_plane,), } epbcs = { # In the y-direction 'periodic_y' : (['y+', 'y-'], {'T.0' : 'T.0'}, 'match_y_plane'), # and in the z-direction. Due to the symmetry of the problem, this periodic # boundary condition is actually not necessary, but we include it anyway. 'periodic_z' : (['z+', 'z-'], {'T.0' : 'T.0'}, 'match_z_plane'), } ics = { 'ic' : ('Omega', {'T.0' : 0.0}), } integrals = { 'i' : 1, } equations = { 'Temperature' : """dw_volume_dot.i.cylinder( cylinder.capacity, ds/dt, dT/dt ) dw_volume_dot.i.fill( fill.capacity, ds/dt, dT/dt ) dw_laplace.i.cylinder( cylinder.conductivity, s, T ) dw_laplace.i.fill( fill.conductivity, s, T ) = dw_volume_integrate.i.cylinder( cylinder.power, s )""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, }), 'ts' : ('ts.simple', { 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, # has precedence over dt! 'quasistatic' : False, }), } options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'output_dir' : 'output', 'save_steps' : -1, } sfepy-release_2015.1/examples/diffusion/poisson_short_syntax.py000066400000000000000000000021761247364230400251400ustar00rootroot00000000000000r""" Laplace equation using the short syntax of keywords. See :ref:`diffusion-poisson` for the long syntax version. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = 0 \;, \quad \forall s \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' materials = { 'coef' : ({'val' : 1.0},), } regions = { 'Omega' : 'all', # or 'cells of group 6' 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 't1' : ('Gamma_Left', {'t.0' : 2.0}), 't2' : ('Gamma_Right', {'t.0' : -2.0}), } integrals = { 'i' : 2, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', 'ls' : 'ls', } sfepy-release_2015.1/examples/diffusion/sinbc.py000066400000000000000000000073661247364230400217250ustar00rootroot00000000000000r""" Laplace equation with Dirichlet boundary conditions given by a sine function and constants. Find :math:`t` such that: .. math:: \int_{\Omega} c \nabla s \cdot \nabla t = 0 \;, \quad \forall s \;. This example demonstrates how to use a hierarchical basis approximation - it uses the fifth order Lobatto polynomial space for the solution. The adaptive linearization is applied in order to save viewable results, see both the options keyword and the ``post_process()`` function that computes the solution gradient. Use the following commands to view the results (assuming default output directory and names):: $ ./postproc.py -b -d't,plot_warp_scalar,rel_scaling=1' 2_4_2_refined_t.vtk --wireframe $ ./postproc.py -b 2_4_2_refined_grad.vtk The :class:`sfepy.discrete.fem.meshio.UserMeshIO` class is used to refine the original two-element mesh before the actual solution. """ import numpy as nm from sfepy import data_dir from sfepy.base.base import output from sfepy.discrete.fem import Mesh, FEDomain from sfepy.discrete.fem.meshio import UserMeshIO, MeshIO from sfepy.homogenization.utils import define_box_regions base_mesh = data_dir + '/meshes/elements/2_4_2.mesh' def mesh_hook(mesh, mode): """ Load and refine a mesh here. """ if mode == 'read': mesh = Mesh.from_file(base_mesh) domain = FEDomain(mesh.name, mesh) for ii in range(3): output('refine %d...' % ii) domain = domain.refine() output('... %d nodes %d elements' % (domain.shape.n_nod, domain.shape.n_el)) domain.mesh.name = '2_4_2_refined' return domain.mesh elif mode == 'write': pass def post_process(out, pb, state, extend=False): """ Calculate gradient of the solution. """ from sfepy.discrete.fem.fields_base import create_expression_output aux = create_expression_output('ev_grad.ie.Elements( t )', 'grad', 'temperature', pb.fields, pb.get_materials(), pb.get_variables(), functions=pb.functions, mode='qp', verbose=False, min_level=0, max_level=5, eps=1e-3) out.update(aux) return out filename_mesh = UserMeshIO(mesh_hook) # Get the mesh bounding box. io = MeshIO.any_from_filename(base_mesh) bbox, dim = io.read_bounding_box(ret_dim=True) options = { 'nls' : 'newton', 'ls' : 'ls', 'post_process_hook' : 'post_process', 'linearization' : { 'kind' : 'adaptive', 'min_level' : 0, # Min. refinement level to achieve everywhere. 'max_level' : 5, # Max. refinement level. 'eps' : 1e-3, # Relative error tolerance. }, } materials = { 'coef' : ({'val' : 1.0},), } regions = { 'Omega' : 'all', } regions.update(define_box_regions(dim, bbox[0], bbox[1], 1e-5)) fields = { 'temperature' : ('real', 1, 'Omega', 5, 'H1', 'lobatto'), # Compare with the Lagrange basis. ## 'temperature' : ('real', 1, 'Omega', 5, 'H1', 'lagrange'), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } amplitude = 1.0 def ebc_sin(ts, coor, **kwargs): x0 = 0.5 * (coor[:, 1].min() + coor[:, 1].max()) val = amplitude * nm.sin( (coor[:, 1] - x0) * 2. * nm.pi ) return val ebcs = { 't1' : ('Left', {'t.0' : 'ebc_sin'}), 't2' : ('Right', {'t.0' : -0.5}), 't3' : ('Top', {'t.0' : 1.0}), } functions = { 'ebc_sin' : (ebc_sin,), } equations = { 'Temperature' : """dw_laplace.10.Omega( coef.val, s, t ) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/diffusion/time_poisson.py000066400000000000000000000046431247364230400233320ustar00rootroot00000000000000r""" Transient Laplace equation with non-constant initial conditions given by a function. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega} s \pdiff{T}{t} + \int_{\Omega} c \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' t0 = 0.0 t1 = 0.1 n_step = 11 material_2 = { 'name' : 'coef', 'values' : {'val' : 0.01}, 'kind' : 'stationary', # 'stationary' or 'time-dependent' } field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variable_1 = { 'name' : 'T', 'kind' : 'unknown field', 'field' : 'temperature', 'order' : 0, 'history' : 1, } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'temperature', 'dual' : 'T', } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } ebcs = { 'T1': ('Gamma_Left', {'T.0' : 2.0}), 'T2': ('Gamma_Right', {'T.0' : -2.0}), } def get_ic(coor, ic): """Non-constant initial condition.""" import numpy as nm # Normalize x coordinate. mi, ma = coor[:,0].min(), coor[:,0].max() nx = (coor[:,0] - mi) / (ma - mi) return nm.where( (nx > 0.25) & (nx < 0.75 ), 8.0 * (nx - 0.5), 0.0 ) functions = { 'get_ic' : (get_ic,), } ics = { 'ic' : ('Omega', {'T.0' : 'get_ic'}), } integral_1 = { 'name' : 'i', 'order' : 1, } equations = { 'Temperature' : """dw_volume_dot.i.Omega( s, dT/dt ) + dw_laplace.i.Omega( coef.val, s, T ) = 0""" } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', 'presolve' : True, } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, 'is_linear' : True, } solver_2 = { 'name' : 'ts', 'kind' : 'ts.simple', 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, # has precedence over dt! } options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, } sfepy-release_2015.1/examples/diffusion/time_poisson_explicit.py000066400000000000000000000030311247364230400252210ustar00rootroot00000000000000r""" Transient Laplace equation. The same example as time_poisson.py, but using the short syntax of keywords, and explicit time-stepping. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega} s \pdiff{T}{t} + \int_{\Omega} c \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. """ from sfepy import data_dir from examples.diffusion.time_poisson import get_ic filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' materials = { 'coef' : ({'val' : 0.01},), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < 0.00001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.099999)', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 'T' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 'T'), } ebcs = { 't1' : ('Gamma_Left', {'T.0' : 2.0}), 't2' : ('Gamma_Right', {'T.0' : -2.0}), } ics = { 'ic' : ('Omega', {'T.0' : 'get_ic'}), } functions = { 'get_ic' : (get_ic,), } integrals = { 'i' : 1, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, T ) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'ts' : ('ts.explicit', { 't0' : 0.0, 't1' : 1.0, 'dt' : 0.00002, 'n_step' : None, 'mass' : 'dw_volume_dot.i.Omega( s, T )', 'lumped' : False, # If True, lump mass matrix so that it is diagonal. }), } options = { 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : 100, 'output_format' : 'h5', } sfepy-release_2015.1/examples/homogenization/000077500000000000000000000000001247364230400213055ustar00rootroot00000000000000sfepy-release_2015.1/examples/homogenization/__init__.py000066400000000000000000000000001247364230400234040ustar00rootroot00000000000000sfepy-release_2015.1/examples/homogenization/linear_elastic_mM.py000066400000000000000000000061051247364230400252700ustar00rootroot00000000000000import os from sfepy import data_dir from sfepy.base.base import nm from sfepy.homogenization.micmac import get_homog_coefs_linear from sfepy.homogenization.recovery import save_recovery_region, recover_micro_hook def post_process( out, pb, state, extend = False ): from sfepy.base.base import Struct if isinstance( state, dict ): pass else: stress = pb.evaluate('ev_cauchy_stress.i.Omega( solid.D, u )', mode='el_avg') strain = pb.evaluate('ev_cauchy_strain.i.Omega( u )', mode='el_avg') out['cauchy_strain'] = Struct( name = 'output_data', mode = 'cell', data = strain, dofs = None ) out['cauchy_stress'] = Struct( name = 'output_data', mode = 'cell', data = stress, dofs = None ) if pb.conf.options.get('recover_micro', False): rname = pb.conf.options.recovery_region region = pb.domain.regions[rname] filename = os.path.join(os.path.dirname(pb.get_output_name()), 'recovery_region.vtk') save_recovery_region(pb, rname, filename=filename); rstrain = pb.evaluate('ev_cauchy_strain.i.%s( u )' % rname, mode='el_avg') recover_micro_hook( pb.conf.options.micro_filename, region, {'strain' : rstrain} ) return out def get_elements(coors, domain=None): return nm.arange(50, domain.shape.n_el, 100) functions = { 'get_elements' : (get_elements,), 'get_homog' : (lambda ts, coors, mode=None, **kwargs: get_homog_coefs_linear(ts, coors, mode, micro_filename=options['micro_filename']),) } filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), 'Recovery' : 'cells by get_elements', } materials = { 'solid' : 'get_homog', } fields = { '3_displacement': ('real', 3, 'Omega', 1), } integrals = { 'i' : 1, } variables = { 'u' : ('unknown field', '3_displacement', 0), 'v' : ('test field', '3_displacement', 'u'), } ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), 'PerturbedSurface' : ('Right', {'u.0' : 0.02, 'u.1' : 0.0, 'u.2' : 0.0}), } equations = { 'balance_of_forces' : """dw_lin_elastic.i.Omega( solid.D, v, u ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-6, }), } micro_filename = data_dir \ + '/examples/homogenization/linear_homogenization_up.py' options = { 'nls' : 'newton', 'ls' : 'ls', 'output_dir' : 'output', 'post_process_hook' : 'post_process', 'output_prefix' : 'macro:', 'recover_micro': True, 'recovery_region' : 'Recovery', 'micro_filename' : micro_filename, } sfepy-release_2015.1/examples/homogenization/linear_homogenization.py000066400000000000000000000122471247364230400262510ustar00rootroot00000000000000# 04.08.2009 #! #! Homogenization: Linear Elasticity #! ================================= #$ \centerline{Example input file, \today} #! Homogenization of heterogeneous linear elastic material import sfepy.discrete.fem.periodic as per from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson from sfepy.homogenization.utils import define_box_regions import sfepy.homogenization.coefs_base as cb from sfepy import data_dir from sfepy.base.base import Struct from sfepy.homogenization.recovery import compute_micro_u, compute_stress_strain_u, compute_mac_stress_part def recovery_le( pb, corrs, macro ): out = {} dim = corrs['corrs_le']['u_00'].shape[1] mic_u = - compute_micro_u( corrs['corrs_le'], macro['strain'], 'u', dim ) out['u_mic'] = Struct( name = 'output_data', mode = 'vertex', data = mic_u, var_name = 'u', dofs = None ) stress_Y, strain_Y = compute_stress_strain_u( pb, 'i', 'Y', 'mat.D', 'u', mic_u ) stress_Y += compute_mac_stress_part( pb, 'i', 'Y', 'mat.D', 'u', macro['strain'] ) strain = macro['strain'] + strain_Y out['cauchy_strain'] = Struct( name = 'output_data', mode = 'cell', data = strain, dofs = None ) out['cauchy_stress'] = Struct( name = 'output_data', mode = 'cell', data = stress_Y, dofs = None ) return out #! Mesh #! ---- filename_mesh = data_dir + '/meshes/3d/matrix_fiber.mesh' dim = 3 region_lbn = (0, 0, 0) region_rtf = (1, 1, 1) #! Regions #! ------- #! Regions, edges, ... regions = { 'Y' : 'all', 'Ym' : 'cells of group 1', 'Yc' : 'cells of group 2', } regions.update( define_box_regions( dim, region_lbn, region_rtf ) ) #! Materials #! --------- materials = { 'mat' : ({'D' : {'Ym': stiffness_from_youngpoisson(dim, 7.0e9, 0.4), 'Yc': stiffness_from_youngpoisson(dim, 70.0e9, 0.2)}},), } #! Fields #! ------ #! Scalar field for corrector basis functions. fields = { 'corrector' : ('real', dim, 'Y', 1), } #! Variables #! --------- #! Unknown and corresponding test variables. Parameter fields #! used for evaluation of homogenized coefficients. variables = { 'u' : ('unknown field', 'corrector', 0), 'v' : ('test field', 'corrector', 'u'), 'Pi' : ('parameter field', 'corrector', 'u'), 'Pi1' : ('parameter field', 'corrector', '(set-to-None)'), 'Pi2' : ('parameter field', 'corrector', '(set-to-None)'), } #! Functions functions = { 'match_x_plane' : (per.match_x_plane,), 'match_y_plane' : (per.match_y_plane,), 'match_z_plane' : (per.match_z_plane,), } #! Boundary Conditions #! ------------------- #! Fixed nodes. ebcs = { 'fixed_u' : ('Corners', {'u.all' : 0.0}), } if dim == 3: epbcs = { 'periodic_x' : (['Left', 'Right'], {'u.all' : 'u.all'}, 'match_x_plane'), 'periodic_y' : (['Near', 'Far'], {'u.all' : 'u.all'}, 'match_y_plane'), 'periodic_z' : (['Top', 'Bottom'], {'u.all' : 'u.all'}, 'match_z_plane'), } else: epbcs = { 'periodic_x' : (['Left', 'Right'], {'u.all' : 'u.all'}, 'match_x_plane'), 'periodic_y' : (['Bottom', 'Top'], {'u.all' : 'u.all'}, 'match_y_plane'), } all_periodic = ['periodic_%s' % ii for ii in ['x', 'y', 'z'][:dim] ] #! Integrals #! --------- #! Define the integral type Volume/Surface and quadrature rule. integrals = { 'i' : 2, } #! Options #! ------- #! Various problem-specific options. options = { 'coefs' : 'coefs', 'requirements' : 'requirements', 'ls' : 'ls', # linear solver to use 'volume' : { 'variables' : ['u'], 'expression' : 'd_volume.i.Y( u )' }, 'output_dir' : 'output', 'coefs_filename' : 'coefs_le', 'recovery_hook' : 'recovery_le', } #! Equations #! --------- #! Equations for corrector functions. equation_corrs = { 'balance_of_forces' : """dw_lin_elastic.i.Y(mat.D, v, u ) = - dw_lin_elastic.i.Y(mat.D, v, Pi )""" } #! Expressions for homogenized linear elastic coefficients. expr_coefs = """dw_lin_elastic.i.Y(mat.D, Pi1, Pi2 )""" #! Coefficients #! ------------ #! Definition of homogenized acoustic coefficients. def set_elastic(variables, ir, ic, mode, pis, corrs_rs): mode2var = {'row' : 'Pi1', 'col' : 'Pi2'} val = pis.states[ir, ic]['u'] + corrs_rs.states[ir, ic]['u'] variables[mode2var[mode]].set_data(val) coefs = { 'D' : { 'requires' : ['pis', 'corrs_rs'], 'expression' : expr_coefs, 'set_variables' : set_elastic, 'class' : cb.CoefSymSym, }, 'filenames' : {}, } requirements = { 'pis' : { 'variables' : ['u'], 'class' : cb.ShapeDimDim, }, 'corrs_rs' : { 'requires' : ['pis'], 'ebcs' : ['fixed_u'], 'epbcs' : all_periodic, 'equations' : equation_corrs, 'set_variables' : [('Pi', 'pis', 'u')], 'class' : cb.CorrDimDim, 'save_name' : 'corrs_le', 'dump_variables' : ['u'], }, } #! Solvers #! ------- #! Define linear and nonlinear solver. solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-4, }) } sfepy-release_2015.1/examples/homogenization/linear_homogenization_postproc.py000066400000000000000000000016101247364230400301720ustar00rootroot00000000000000""" This example shows how to use the VTK postprocessing functions. """ import os.path as osp from linear_homogenization import * from sfepy.postprocess.utils_vtk import get_vtk_from_mesh,\ get_vtk_by_group, get_vtk_surface, get_vtk_edges, write_vtk_to_file,\ tetrahedralize_vtk_mesh options.update({ 'post_process_hook' : 'post_process', }) def post_process(out, problem, state, extend=False): mesh = problem.domain.mesh mesh_name = mesh.name[mesh.name.rfind(osp.sep) + 1:] vtkdata = get_vtk_from_mesh(mesh, out, 'postproc_') matrix = get_vtk_by_group(vtkdata, 1, 1) matrix_surf = get_vtk_surface(matrix) matrix_surf_tri = tetrahedralize_vtk_mesh(matrix_surf) write_vtk_to_file('%s_mat1_surface.vtk' % mesh_name, matrix_surf_tri) matrix_edges = get_vtk_edges(matrix) write_vtk_to_file('%s_mat1_edges.vtk' % mesh_name, matrix_edges) return out sfepy-release_2015.1/examples/homogenization/linear_homogenization_up.py000066400000000000000000000154541247364230400267600ustar00rootroot00000000000000# mixed formulation # 07.08.2009 #! #! Homogenization: Linear Elasticity #! ================================= #$ \centerline{Example input file, \today} #! Homogenization of heterogeneous linear elastic material - mixed formulation import numpy as nm import sfepy.discrete.fem.periodic as per from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson_mixed, bulk_from_youngpoisson from sfepy.homogenization.utils import define_box_regions, get_box_volume import sfepy.homogenization.coefs_base as cb from sfepy import data_dir from sfepy.base.base import Struct from sfepy.homogenization.recovery import compute_micro_u, compute_stress_strain_u, compute_mac_stress_part, add_stress_p def recovery_le( pb, corrs, macro ): out = {} dim = corrs['corrs_le']['u_00'].shape[1] mic_u = - compute_micro_u( corrs['corrs_le'], macro['strain'], 'u', dim ) mic_p = - compute_micro_u( corrs['corrs_le'], macro['strain'], 'p', dim ) out['u_mic'] = Struct( name = 'output_data', mode = 'vertex', data = mic_u, var_name = 'u', dofs = None ) out['p_mic'] = Struct( name = 'output_data', mode = 'cell', data = mic_p[:,nm.newaxis, :,nm.newaxis], var_name = 'p', dofs = None ) stress_Y, strain_Y = compute_stress_strain_u( pb, 'i', 'Y', 'mat.D', 'u', mic_u ) stress_Y += compute_mac_stress_part( pb, 'i', 'Y', 'mat.D', 'u', macro['strain'] ) add_stress_p( stress_Y, pb, 'i', 'Y', 'p', mic_p ) strain = macro['strain'] + strain_Y out['cauchy_strain'] = Struct( name = 'output_data', mode = 'cell', data = strain, dofs = None ) out['cauchy_stress'] = Struct( name = 'output_data', mode = 'cell', data = stress_Y, dofs = None ) return out #! Mesh #! ---- dim = 3 filename_mesh = data_dir + '/meshes/3d/matrix_fiber.mesh' region_lbn = (0, 0, 0) region_rtf = (1, 1, 1) #! Regions #! ------- #! Regions, edges, ... regions = { 'Y' : 'all', 'Ym' : 'cells of group 1', 'Yc' : 'cells of group 2', } regions.update( define_box_regions( dim, region_lbn, region_rtf ) ) #! Materials #! --------- materials = { 'mat' : ({'D' : {'Ym': stiffness_from_youngpoisson_mixed(dim, 7.0e9, 0.4), 'Yc': stiffness_from_youngpoisson_mixed(dim, 70.0e9, 0.2)}, 'gamma': {'Ym': 1.0/bulk_from_youngpoisson(7.0e9, 0.4), 'Yc': 1.0/bulk_from_youngpoisson(70.0e9, 0.2)}},), } #! Fields #! ------ #! Scalar field for corrector basis functions. fields = { 'corrector_u' : ('real', dim, 'Y', 1), 'corrector_p' : ('real', 1, 'Y', 0), } #! Variables #! --------- #! Unknown and corresponding test variables. Parameter fields #! used for evaluation of homogenized coefficients. variables = { 'u' : ('unknown field', 'corrector_u'), 'v' : ('test field', 'corrector_u', 'u'), 'p' : ('unknown field', 'corrector_p'), 'q' : ('test field', 'corrector_p', 'p'), 'Pi' : ('parameter field', 'corrector_u', 'u'), 'Pi1u' : ('parameter field', 'corrector_u', '(set-to-None)'), 'Pi2u' : ('parameter field', 'corrector_u', '(set-to-None)'), 'Pi1p' : ('parameter field', 'corrector_p', '(set-to-None)'), 'Pi2p' : ('parameter field', 'corrector_p', '(set-to-None)'), } #! Functions functions = { 'match_x_plane' : (per.match_x_plane,), 'match_y_plane' : (per.match_y_plane,), 'match_z_plane' : (per.match_z_plane,), } #! Boundary Conditions #! ------------------- #! Fixed nodes. ebcs = { 'fixed_u' : ('Corners', {'u.all' : 0.0}), } if dim == 3: epbcs = { 'periodic_x' : (['Left', 'Right'], {'u.all' : 'u.all'}, 'match_x_plane'), 'periodic_y' : (['Near', 'Far'], {'u.all' : 'u.all'}, 'match_y_plane'), 'periodic_z' : (['Top', 'Bottom'], {'u.all' : 'u.all'}, 'match_z_plane'), } else: epbcs = { 'periodic_x' : (['Left', 'Right'], {'u.all' : 'u.all'}, 'match_x_plane'), 'periodic_y' : (['Bottom', 'Top'], {'u.all' : 'u.all'}, 'match_y_plane'), } all_periodic = ['periodic_%s' % ii for ii in ['x', 'y', 'z'][:dim] ] #! Integrals #! --------- #! Define the integral type Volume/Surface and quadrature rule. integrals = { 'i' : 2, } #! Options #! ------- #! Various problem-specific options. options = { 'coefs' : 'coefs', 'requirements' : 'requirements', 'ls' : 'ls', # linear solver to use 'volume' : { #'variables' : ['u'], #'expression' : 'd_volume.i.Y( u )', 'value' : get_box_volume( dim, region_lbn, region_rtf ), }, 'output_dir' : 'output', 'coefs_filename' : 'coefs_le_up', 'recovery_hook' : 'recovery_le', } #! Equations #! --------- #! Equations for corrector functions. equation_corrs = { 'balance_of_forces' : """ dw_lin_elastic.i.Y( mat.D, v, u ) - dw_stokes.i.Y( v, p ) = - dw_lin_elastic.i.Y( mat.D, v, Pi )""", 'pressure constraint' : """- dw_stokes.i.Y( u, q ) - dw_volume_dot.i.Y( mat.gamma, q, p ) = + dw_stokes.i.Y( Pi, q )""", } #! Expressions for homogenized linear elastic coefficients. expr_coefs = { 'Q1' : """dw_lin_elastic.i.Y( mat.D, Pi1u, Pi2u )""", 'Q2' : """dw_volume_dot.i.Y( mat.gamma, Pi1p, Pi2p )""", } #! Coefficients #! ------------ #! Definition of homogenized acoustic coefficients. def set_elastic_u(variables, ir, ic, mode, pis, corrs_rs): mode2var = {'row' : 'Pi1u', 'col' : 'Pi2u'} val = pis.states[ir, ic]['u'] + corrs_rs.states[ir, ic]['u'] variables[mode2var[mode]].set_data(val) coefs = { 'elastic_u' : { 'requires' : ['pis', 'corrs_rs'], 'expression' : expr_coefs['Q1'], 'set_variables' : set_elastic_u, 'class' : cb.CoefSymSym, }, 'elastic_p' : { 'requires' : ['corrs_rs'], 'expression' : expr_coefs['Q2'], 'set_variables' : [('Pi1p', 'corrs_rs', 'p'), ('Pi2p', 'corrs_rs', 'p')], 'class' : cb.CoefSymSym, }, 'D' : { 'requires' : ['c.elastic_u', 'c.elastic_p'], 'class' : cb.CoefSum, }, 'filenames' : {}, } requirements = { 'pis' : { 'variables' : ['u'], 'class' : cb.ShapeDimDim, }, 'corrs_rs' : { 'requires' : ['pis'], 'ebcs' : ['fixed_u'], 'epbcs' : all_periodic, 'equations' : equation_corrs, 'set_variables' : [('Pi', 'pis', 'u')], 'class' : cb.CorrDimDim, 'save_name' : 'corrs_le', 'dump_variables' : ['u', 'p'], 'is_linear' : True, }, } #! Solvers #! ------- #! Define linear and nonlinear solver. solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-4, }) } sfepy-release_2015.1/examples/homogenization/perfusion_micro.py000066400000000000000000000535421247364230400250730ustar00rootroot00000000000000r""" Homogenization of the Darcy flow in a thin porous layer. The reference cell is composed of the matrix representing the dual porosity and of two disconnected channels representing the primary porosity, see paper [1]. [1] http://seth.asc.tuwien.ac.at/proc12/full_paper/Contribution183.pdf """ from sfepy.discrete.fem.periodic import match_x_plane, match_y_plane import sfepy.homogenization.coefs_base as cb import numpy as nm from sfepy import data_dir def get_mats(pk, ph, pe, dim): m1 = nm.eye(dim, dtype=nm.float64) * pk m1[-1,-1] = pk / ph m2 = nm.eye(dim, dtype=nm.float64) * pk m2[-1,-1] = pk / ph ** 2 return m1, m2 def recovery_perf(pb, corrs, macro): from sfepy.homogenization.recovery import compute_p_from_macro from sfepy.base.base import Struct slev = '' micro_coors = pb.domain.mesh.coors micro_nnod = pb.domain.mesh.n_nod centre_Y = nm.sum(pb.domain.mesh.coors, axis=0) / micro_nnod nodes_Y = {} channels = {} for k in macro.iterkeys(): if 'press' in k: channels[k[-1]] = 1 channels = channels.keys() varnames = ['pM'] for ch in channels: nodes_Y[ch] = pb.domain.regions['Y' + ch].vertices varnames.append('p' + ch) pvars = pb.create_variables(varnames) press = {} # matrix press['M'] = \ corrs['corrs_%s_gamma_p' % pb_def['name']]['pM'] * macro['g_p'] + \ corrs['corrs_%s_gamma_m' % pb_def['name']]['pM'] * macro['g_m'] out = {} # channels for ch in channels: press_mac = macro['press' + ch][0,0] press_mac_grad = macro['pressg' + ch] nnod = corrs['corrs_%s_pi%s' % (pb_def['name'], ch)]\ ['p%s_0' % ch].shape[0] press_mic = nm.zeros( (nnod,1) ) for key, val in \ corrs['corrs_%s_pi%s' % (pb_def['name'], ch)].iteritems(): kk = int( key[-1] ) press_mic += val * press_mac_grad[kk,0] for key in corrs.iterkeys(): if ('_gamma_' + ch in key): kk = int(key[-1]) - 1 press_mic += corrs[key]['p' + ch] * macro['g' + ch][kk] press_mic += \ compute_p_from_macro(press_mac_grad[nm.newaxis,nm.newaxis,:,:], micro_coors[nodes_Y[ch]], 0, centre=centre_Y, extdim=-1).reshape((nnod,1)) press[ch] = press_mac + eps0 * press_mic out[slev + 'p' + ch] = Struct(name='output_data', mode='vertex', data=press[ch], var_name='p' + ch, dofs=None) pvars['p' + ch].set_data(press_mic) dvel = pb.evaluate('ev_diffusion_velocity.iV.Y%s(mat1%s.k, p%s)'\ % (ch, ch, ch), var_dict = {'p' + ch: pvars['p' + ch]}, mode='el_avg') out[slev + 'w' + ch] = Struct(name='output_data', mode='cell', data=dvel, var_name='w' + ch, dofs=None) press['M'] += corrs['corrs_%s_eta%s' % (pb_def['name'], ch)]['pM']\ * press_mac pvars['pM'].set_data(press['M']) dvel = pb.evaluate('%e * ev_diffusion_velocity.iV.YM(mat1M.k, pM)' % eps0, var_dict = {'pM': pvars['pM']}, mode='el_avg') out[slev + 'pM'] = Struct(name='output_data', mode='vertex', dat =press['M'], var_name='pM', dofs=None) out[slev + 'wM'] = Struct(name='output_data', mode='cell', data=dvel, var_name='wM', dofs=None ) return out geoms = { '2_4': ['2_4_Q1', '2', 5], '3_8': ['3_8_Q1', '4', 5], '3_4': ['3_4_P1', '3', 3], } pb_def = { 'name': '3d_2ch', 'mesh_filename': data_dir + '/meshes/3d/perfusion_micro3d.mesh', 'dim': 3, 'geom': geoms['3_4'], 'eps0': 1.0e-2, 'param_h': 1.0, 'param_kappa_m': 0.1, 'matrix_mat_el_grp': 3, 'channels': { 'A': { 'mat_el_grp': 1, 'fix_nd_grp': (4, 1), 'io_nd_grp': [ 1, 2, 3 ], 'param_kappa_ch': 1.0, }, 'B': { 'mat_el_grp': 2, 'fix_nd_grp': (14, 11), 'io_nd_grp': [ 11, 12, 13 ], 'param_kappa_ch': 2.0, }, }, } filename_mesh = pb_def['mesh_filename'] eps0 = pb_def['eps0'] param_h = pb_def['param_h'] # integrals integrals = { 'iV' : 2, 'iS' : 2, } functions = { 'match_x_plane': (match_x_plane,), 'match_y_plane': (match_y_plane,), } aux = [] for ch, val in pb_def['channels'].iteritems(): aux.append( 'r.bYM' + ch ) # basic regions regions = { 'Y': 'all', 'YM': 'cells of group %d' % pb_def['matrix_mat_el_grp'], # periodic boundaries 'Pl': ('vertices in (x < 0.001)', 'facet'), 'Pr': ('vertices in (x > 0.999)', 'facet'), 'PlYM': ('r.Pl *v r.YM', 'facet'), 'PrYM': ('r.Pr *v r.YM', 'facet'), 'bYMp': ('r.bYp *v r.YM', 'facet', 'YM'), 'bYMm': ('r.bYm *v r.YM', 'facet', 'YM'), 'bYMpm': ('r.bYMp +v r.bYMm', 'facet', 'YM'), } # matrix/channel boundaries regions.update({ 'bYMchs': (' +v '.join(aux), 'facet', 'YM'), 'YMmchs': 'r.YM -v r.bYMchs', }) # boundary conditions Gamma+/- ebcs = { 'gamma_pm_bYMchs': ('bYMchs', {'pM.0': 0.0}), 'gamma_pm_YMmchs': ('YMmchs', {'pM.0': 1.0}), } # periodic boundary conditions - matrix, X-direction epbcs = {'periodic_xYM': (['PlYM', 'PrYM'], {'pM.0': 'pM.0'}, 'match_x_plane')} lcbcs = {} all_periodicYM = ['periodic_%sYM' % ii for ii in ['x', 'y'][:pb_def['dim']-1] ] all_periodicY = {} if pb_def['dim'] == 2: regions.update( { 'bYm': ('vertices in (y < 0.001)', 'facet'), 'bYp': ('vertices in (y > 0.999)', 'facet'), } ) if pb_def['dim'] == 3: regions.update( { 'Pn': ('vertices in (y < 0.001)', 'facet'), 'Pf': ('vertices in (y > 0.999)', 'facet'), 'PnYM': ('r.Pn *v r.YM', 'facet'), 'PfYM': ('r.Pf *v r.YM', 'facet'), 'bYm': ('vertices in (z < 0.001)', 'facet'), 'bYp': ('vertices in (z > 0.999)', 'facet'), } ) # periodic boundary conditions - matrix, Y-direction epbcs.update( { 'periodic_yYM': (['PnYM', 'PfYM'], {'pM.0': 'pM.0'}, 'match_y_plane'), } ) reg_io = {} ebcs_eta = {} ebcs_gamma = {} # generate regions, ebcs, epbcs for ch, val in pb_def['channels'].iteritems(): all_periodicY[ch] = ['periodic_%sY%s' % (ii, ch)\ for ii in ['x', 'y'][:pb_def['dim']-1] ] # channels: YA, fixedYA, bYMA (matrix/channel boundaries) regions.update( { 'Y' + ch: 'cells of group %d' % val['mat_el_grp'], 'bYM' + ch: ('r.YM *v r.Y' + ch, 'facet', 'YM'), 'PlY' + ch: ('r.Pl *v r.Y' + ch, 'facet'), 'PrY' + ch: ('r.Pr *v r.Y' + ch, 'facet'), } ) if 'fix_nd_grp' in val: regions.update({ 'fixedY' + ch: ('vertices of group %d' % val['fix_nd_grp'][0], 'vertex'), }) ebcs_eta[ch] = [] for ch2, val2 in pb_def['channels'].iteritems(): aux = 'eta%s_bYM%s' % (ch, ch2) if ch2 == ch: ebcs.update( {aux: ('bYM' + ch2, {'pM.0': 1.0})} ) else: ebcs.update( {aux: ('bYM' + ch2, {'pM.0': 0.0})} ) ebcs_eta[ch].append(aux) # boundary conditions # periodic boundary conditions - channels, X-direction epbcs.update({ 'periodic_xY' + ch: (['PlY' + ch, 'PrY' + ch], {'p%s.0' % ch: 'p%s.0' % ch}, 'match_x_plane'), }) if pb_def['dim'] == 3: regions.update({ 'PnY' + ch: ('r.Pn *v r.Y' + ch, 'facet'), 'PfY' + ch: ('r.Pf *v r.Y' + ch, 'facet'), }) # periodic boundary conditions - channels, Y-direction epbcs.update({ 'periodic_yY' + ch: (['PnY' + ch, 'PfY' + ch], {'p%s.0' % ch: 'p%s.0' % ch}, 'match_y_plane'), }) reg_io[ch] = [] aux_bY = [] # channel: inputs/outputs for i_io in range( len( val['io_nd_grp'] ) ): io = '%s_%d' % (ch, i_io+1) # regions aux = val['io_nd_grp'][i_io] if 'fix_nd_grp' in val and val['fix_nd_grp'][1] == aux: regions.update( { 'bY%s' % io : ('vertices of group %d +v r.fixedY%s' % (aux, ch), 'facet', 'Y%s' % ch), } ) else: regions.update( { 'bY%s' % io : ('vertices of group %d' % aux, 'facet', 'Y%s' % ch), } ) aux_bY.append('r.bY%s' % io) reg_io[ch].append('bY%s' % io) regions.update({ 'bY' + ch : (' +v '.join(aux_bY), 'facet', 'Y' + ch), }) # channel: inputs/outputs for i_io in range( len( val['io_nd_grp'] ) ): io = '%s_%d' % (ch, i_io + 1) ion = '%s_n%d' % (ch, i_io + 1) regions.update({ 'bY%s' % ion: ('r.bY%s -v r.bY%s' % (ch, io), 'facet', 'Y%s' % ch), }) # boundary conditions aux = 'fix_p%s_bY%s' % (ch, ion) ebcs.update({ aux: ('bY%s' % ion, {'p%s.0' % ch: 0.0}), }) lcbcs.update({ 'imv' + ch: ('Y' + ch, {'ls%s.all' % ch: None}, None, 'integral_mean_value') }) ########################################################################### # materials, fields, variables, integrals matk1, matk2 = get_mats(pb_def['param_kappa_m'], param_h, eps0, pb_def['dim']) materials = { 'mat1M': ({'k': matk1},), 'mat2M': ({'k': matk2},), } fields = { 'corrector_M': ('real', 'scalar', 'YM', 1), 'vel_M': ('real', 'vector', 'YM', 1), 'vol_all': ('real', 'scalar', 'Y', 1), } variables = { 'pM': ('unknown field', 'corrector_M'), 'qM': ('test field', 'corrector_M', 'pM'), 'Pi_M': ('parameter field', 'corrector_M', '(set-to-None)'), 'corr_M': ('parameter field', 'corrector_M', '(set-to-None)'), 'corr1_M': ('parameter field', 'corrector_M', '(set-to-None)'), 'corr2_M': ('parameter field', 'corrector_M', '(set-to-None)'), 'wM': ('parameter field', 'vel_M', '(set-to-None)'), 'vol_all': ('parameter field', 'vol_all', '(set-to-None)'), } # generate regions for channel inputs/outputs for ch, val in pb_def['channels'].iteritems(): matk1, matk2 = get_mats(val['param_kappa_ch'], param_h, eps0, pb_def['dim']) materials.update({ 'mat1' + ch: ({'k': matk1},), 'mat2' + ch: ({'k': matk2},), }) fields.update({ 'corrector_' + ch: ('real', 'scalar', 'Y' + ch, 1), 'vel_' + ch: ('real', 'vector', 'Y' + ch, 1), }) variables.update({ 'p' + ch: ('unknown field', 'corrector_' + ch), 'q' + ch: ('test field', 'corrector_' + ch, 'p' + ch), 'Pi_' + ch: ('parameter field', 'corrector_' + ch, '(set-to-None)'), 'corr1_' + ch: ('parameter field', 'corrector_' + ch, '(set-to-None)'), 'corr2_' + ch: ('parameter field', 'corrector_' + ch, '(set-to-None)'), 'w' + ch: ('unknown field', 'vel_' + ch), # lagrange mutltipliers - integral mean value 'ls' + ch: ('unknown field', 'corrector_' + ch), 'lv' + ch: ('test field', 'corrector_' + ch, 'ls' + ch), }) ########################################################################### options = { 'coefs': 'coefs', 'requirements': 'requirements', 'ls': 'ls', # linear solver to use 'volumes': { 'total': { 'variables': ['vol_all'], 'expression': """d_volume.iV.Y(vol_all)""", }, 'one': { 'value': 1.0, } }, 'output_dir': './output', 'file_per_var': True, 'coefs_filename': 'coefs_perf_' + pb_def['name'], 'coefs_info': {'eps0': eps0}, 'recovery_hook': 'recovery_perf', } for ipm in ['p', 'm']: options['volumes'].update({ 'bYM' + ipm: { 'variables': ['pM'], 'expression': "d_surface.iS.bYM%s(pM)" % ipm, }, 'bY' + ipm: { 'variables': ['vol_all'], 'expression': "d_surface.iS.bY%s(vol_all)" % ipm, } }) for ch in reg_io.iterkeys(): for ireg in reg_io[ch]: options['volumes'].update({ ireg: { 'variables': ['p' + ch], 'expression': "d_surface.iS.%s(p%s)" % (ireg, ch), } }) ########################################################################### # equations, correctors, coefficients coefs = { 'vol_bYMpm': { 'regions': ['bYMp', 'bYMm'], 'expression': 'd_surface.iS.%s(pM)', 'class': cb.VolumeFractions, }, 'filenames': {}, } # requirements for perfusion homog. coefficients requirements = { 'corrs_one_YM': { 'variable': ['pM'], 'ebcs': ['gamma_pm_YMmchs', 'gamma_pm_bYMchs'], 'epbcs': [], 'save_name': 'corrs_one_YM', 'class': cb.CorrSetBCS, 'dump_variables': ['pM'], }, } for ipm in ['p', 'm']: requirements.update({ 'corrs_gamma_' + ipm: { 'requires': [], 'ebcs': ['gamma_pm_bYMchs'], 'epbcs': all_periodicYM, 'equations': { 'eq_gamma_pm': """dw_diffusion.iV.YM(mat2M.k, qM, pM) = %e * dw_surface_integrate.iS.bYM%s(qM)"""\ % (1.0/param_h, ipm), }, 'class': cb.CorrOne, 'save_name': 'corrs_%s_gamma_%s' % (pb_def['name'], ipm), 'dump_variables': ['pM'], }, }) for ipm2 in ['p', 'm']: coefs.update({ 'H' + ipm + ipm2: { # test+ 'requires': ['corrs_gamma_' + ipm], 'set_variables': [('corr_M', 'corrs_gamma_' + ipm, 'pM')], 'expression': 'ev_surface_integrate.iS.bYM%s(corr_M)' % ipm2, 'set_volume': 'bYp', 'class': cb.CoefOne, }, }) def get_channel(keys, bn): for ii in keys: if bn in ii: return ii[(ii.rfind(bn) + len(bn)):] return None def set_corrpis(variables, ir, ic, mode, **kwargs): ch = get_channel(kwargs.keys(), 'pis_') pis = kwargs['pis_' + ch] corrs_pi = kwargs['corrs_pi' + ch] if mode == 'row': val = pis.states[ir]['p' + ch] + corrs_pi.states[ir]['p' + ch] variables['corr1_' + ch].set_data(val) elif mode == 'col': val = pis.states[ic]['p' + ch] + corrs_pi.states[ic]['p' + ch] variables['corr2_' + ch].set_data(val) def set_corr_S(variables, ir, **kwargs): ch = get_channel(kwargs.keys(), 'pis_') io = get_channel(kwargs.keys(), 'corrs_gamma_') pis = kwargs['pis_' + ch] corrs_gamma = kwargs['corrs_gamma_' + io] pi = pis.states[ir]['p' + ch] val = corrs_gamma.state['p' + ch] variables['corr1_' + ch].set_data(pi) variables['corr2_' + ch].set_data(val) def set_corr_cc(variables, ir, **kwargs): ch = get_channel(kwargs.keys(), 'pis_') pis = kwargs['pis_' + ch] corrs_pi = kwargs['corrs_pi' + ch] pi = pis.states[ir]['p' + ch] pi = pi - nm.mean(pi) val = pi + corrs_pi.states[ir]['p' + ch] variables['corr1_' + ch].set_data(val) for ch, val in pb_def['channels'].iteritems(): coefs.update({ 'G' + ch: { # test+ 'requires': ['corrs_one' + ch, 'corrs_eta' + ch], 'set_variables': [('corr1_M', 'corrs_one' + ch, 'pM'), ('corr2_M', 'corrs_eta' + ch, 'pM')], 'expression': 'dw_diffusion.iV.YM(mat2M.k, corr1_M, corr2_M)', 'class': cb.CoefOne, }, 'K' + ch: { # test+ 'requires': ['pis_' + ch, 'corrs_pi' + ch], 'set_variables': set_corrpis, 'expression': 'dw_diffusion.iV.Y%s(mat2%s.k, corr1_%s, corr2_%s)'\ % ((ch,) * 4), 'dim': pb_def['dim'] - 1, 'class': cb.CoefDimDim, }, }) requirements.update({ 'pis_' + ch: { 'variables': ['p' + ch], 'class': cb.ShapeDim, }, 'corrs_one' + ch: { 'variable': ['pM'], 'ebcs': ebcs_eta[ch], 'epbcs': [], 'save_name': 'corrs_%s_one%s' % (pb_def['name'], ch), 'dump_variables': ['pM'], 'class': cb.CorrSetBCS, }, 'corrs_eta' + ch: { 'ebcs': ebcs_eta[ch], 'epbcs': all_periodicYM, 'equations': { 'eq_eta': 'dw_diffusion.iV.YM(mat2M.k, qM, pM) = 0', }, 'class': cb.CorrOne, 'save_name': 'corrs_%s_eta%s' % (pb_def['name'], ch), 'dump_variables': ['pM'], }, 'corrs_pi' + ch: { 'requires': ['pis_' + ch], 'set_variables': [('Pi_' + ch, 'pis_' + ch, 'p' + ch)], 'ebcs': [], 'epbcs': all_periodicY[ch], 'lcbcs': ['imv' + ch], 'equations': { 'eq_pi': """dw_diffusion.iV.Y%s(mat2%s.k, q%s, p%s) + dw_volume_dot.iV.Y%s(q%s, ls%s) = - dw_diffusion.iV.Y%s(mat2%s.k, q%s, Pi_%s)"""\ % ((ch,) * 11), 'eq_imv': 'dw_volume_dot.iV.Y%s(lv%s, p%s) = 0' % ((ch,) * 3), }, 'dim': pb_def['dim'] - 1, 'class': cb.CorrDim, 'save_name': 'corrs_%s_pi%s' % (pb_def['name'], ch), 'dump_variables': ['p' + ch], }, }) for ipm in ['p', 'm']: coefs.update({ 'E' + ipm + ch: { # test+ 'requires': ['corrs_eta' + ch], 'set_variables': [('corr_M', 'corrs_eta' + ch, 'pM')], 'expression': 'ev_surface_integrate.iS.bYM%s(corr_M)' % ipm, 'set_volume': 'bYp', 'class': cb.CoefOne, }, 'F' + ipm + ch: { # test+ 'requires': ['corrs_one' + ch, 'corrs_gamma_' + ipm], 'set_variables': [('corr1_M', 'corrs_one' + ch, 'pM'), ('corr2_M', 'corrs_gamma_' + ipm, 'pM')], 'expression': """dw_diffusion.iV.YM(mat2M.k, corr1_M, corr2_M) - %e * ev_surface_integrate.iS.bYM%s(corr1_M)"""\ % (1.0/param_h, ipm), 'class': cb.CoefOne, }, }) for i_io in range(len(val['io_nd_grp'])): io = '%s_%d' % (ch, i_io + 1) coefs.update({ 'S' + io: { # [Rohan1] (4.28), test+ 'requires': ['corrs_gamma_' + io, 'pis_' + ch], 'set_variables': set_corr_S, 'expression': 'dw_diffusion.iV.Y%s(mat2%s.k,corr1_%s,corr2_%s)'\ % ((ch,) * 4), 'dim': pb_def['dim'] - 1, 'class': cb.CoefDim, }, 'P' + io: { # test+ 'requires': ['pis_' + ch, 'corrs_pi' + ch], 'set_variables': set_corr_cc, 'expression': 'ev_surface_integrate.iS.bY%s(corr1_%s)'\ % (io, ch), 'set_volume': 'bYp', 'dim': pb_def['dim'] - 1, 'class': cb.CoefDim, }, 'S_test' + io: { 'requires': ['corrs_pi' + ch], 'set_variables': [('corr1_' + ch, 'corrs_pi' + ch, 'p' + ch)], 'expression': '%e * ev_surface_integrate.iS.bY%s(corr1_%s)'\ % (1.0 / param_h, io, ch), 'dim': pb_def['dim'] - 1, 'class': cb.CoefDim, }, }) requirements.update({ 'corrs_gamma_' + io: { 'requires': [], 'variables': ['p' + ch, 'q' + ch], 'ebcs': [], 'epbcs': all_periodicY[ch], 'lcbcs': ['imv' + ch], 'equations': { 'eq_gamma': """dw_diffusion.iV.Y%s(mat2%s.k, q%s, p%s) + dw_volume_dot.iV.Y%s(q%s, ls%s) = %e * dw_surface_integrate.iS.bY%s(q%s)"""\ % ((ch,) * 7 + (1.0/param_h, io, ch)), 'eq_imv': 'dw_volume_dot.iV.Y%s(lv%s, p%s) = 0'\ % ((ch,) * 3), }, 'class': cb.CorrOne, 'save_name': 'corrs_%s_gamma_%s' % (pb_def['name'], io), 'dump_variables': ['p' + ch], }, }) for i_io2 in range(len(val['io_nd_grp'])): io2 = '%s_%d' % (ch, i_io2 + 1) io12 = '%s_%d' % (io, i_io2 + 1) coefs.update({ 'R' + io12: { # test+ 'requires': ['corrs_gamma_' + io2], 'set_variables': [('corr1_' + ch, 'corrs_gamma_' + io2, 'p' + ch)], 'expression': 'ev_surface_integrate.iS.bY%s(corr1_%s)'\ % (io, ch), 'set_volume': 'bYp', 'class': cb.CoefOne, }, }) ########################################################################### # solver, fe solvers = { 'ls': ('ls.scipy_direct', {}), 'newton': ('nls.newton', { 'i_max': 1, }) } fe = { 'chunk_size': 1000 } # [Rohan1] Rohan E.: HOMOGENIZATION OF THE DARCY FLOW IN A DOUBLE-POROUS LAYER sfepy-release_2015.1/examples/large_deformation/000077500000000000000000000000001247364230400217345ustar00rootroot00000000000000sfepy-release_2015.1/examples/large_deformation/__init__.py000066400000000000000000000000001247364230400240330ustar00rootroot00000000000000sfepy-release_2015.1/examples/large_deformation/active_fibres.py000066400000000000000000000141611247364230400251160ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Nearly incompressible hyperelastic material model with active fibres. Large deformation is described using the total Lagrangian formulation. Models of this kind can be used in biomechanics to model biological tissues, e.g. muscles. Find :math:`\ul{u}` such that: .. math:: \intl{\Omega\suz}{} \left( \ull{S}\eff(\ul{u}) + K(J-1)\; J \ull{C}^{-1} \right) : \delta \ull{E}(\ul{v}) \difd{V} = 0 \;, \quad \forall \ul{v} \;, where .. list-table:: :widths: 20 80 * - :math:`\ull{F}` - deformation gradient :math:`F_{ij} = \pdiff{x_i}{X_j}` * - :math:`J` - :math:`\det(F)` * - :math:`\ull{C}` - right Cauchy-Green deformation tensor :math:`C = F^T F` * - :math:`\ull{E}(\ul{u})` - Green strain tensor :math:`E_{ij} = \frac{1}{2}(\pdiff{u_i}{x_j} + \pdiff{u_j}{x_i} + \pdiff{u_m}{x_i}\pdiff{u_m}{x_j})` * - :math:`\ull{S}\eff(\ul{u})` - effective second Piola-Kirchhoff stress tensor The effective stress :math:`\ull{S}\eff(\ul{u})` incorporates also the effects of the active fibres in two preferential directions: .. math:: \ull{S}\eff(\ul{u}) = \mu J^{-\frac{2}{3}}(\ull{I} - \frac{1}{3}\tr(\ull{C}) \ull{C}^{-1}) + \sum_{k=1}^2 \tau^k \ull{\omega}^k \;. The first term is the neo-Hookean term and the sum add contributions of the two fibre systems. The tensors :math:`\ull{\omega}^k = \ul{d}^k\ul{d}^k` are defined by the fibre system direction vectors :math:`\ul{d}^k` (unit). For the one-dimensional tensions :math:`\tau^k` holds simply (:math:`^k` omitted): .. math:: \tau = A f_{\rm max} \exp{\left\{-(\frac{\epsilon - \varepsilon_{\rm opt}}{s})^2\right\}} \mbox{ , } \epsilon = \ull{E} : \ull{\omega} \;. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' vf_matrix = 0.5 vf_fibres1 = 0.2 vf_fibres2 = 0.3 options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, 'post_process_hook' : 'stress_strain', } fields = { 'displacement': (nm.float64, 3, 'Omega', 1), } materials = { 'solid' : ({ 'K' : vf_matrix * 1e3, # bulk modulus 'mu' : vf_matrix * 20e0, # shear modulus of neoHookean term },), 'f1' : 'get_pars_fibres1', 'f2' : 'get_pars_fibres2', } def get_pars_fibres(ts, coors, mode=None, which=0, vf=1.0, **kwargs): """ Parameters ---------- ts : TimeStepper Time stepping info. coors : array_like The physical domain coordinates where the parameters shound be defined. mode : 'qp' or 'special' Call mode. which : int Fibre system id. vf : float Fibre system volume fraction. """ if mode != 'qp': return fmax = 10.0 eps_opt = 0.01 s = 1.0 tt = ts.nt * 2.0 * nm.pi if which == 0: # system 1 fdir = nm.array([1.0, 0.0, 0.0], dtype=nm.float64) act = 0.5 * (1.0 + nm.sin(tt - (0.5 * nm.pi))) elif which == 1: # system 2 fdir = nm.array([0.0, 1.0, 0.0], dtype=nm.float64) act = 0.5 * (1.0 + nm.sin(tt + (0.5 * nm.pi))) else: raise ValueError('unknown fibre system! (%d)' % which) fdir.shape = (3, 1) fdir /= nm.linalg.norm(fdir) print act shape = (coors.shape[0], 1, 1) out = { 'fmax' : vf * nm.tile(fmax, shape), 'eps_opt' : nm.tile(eps_opt, shape), 's' : nm.tile(s, shape), 'fdir' : nm.tile(fdir, shape), 'act' : nm.tile(act, shape), } return out functions = { 'get_pars_fibres1' : (lambda ts, coors, mode=None, **kwargs: get_pars_fibres(ts, coors, mode=mode, which=0, vf=vf_fibres1, **kwargs),), 'get_pars_fibres2' : (lambda ts, coors, mode=None, **kwargs: get_pars_fibres(ts, coors, mode=mode, which=1, vf=vf_fibres2, **kwargs),), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } ## # Dirichlet BC. ebcs = { 'l' : ('Left', {'u.all' : 0.0}), } ## # Balance of forces. integral_1 = { 'name' : 'i', 'order' : 1, } equations = { 'balance' : """dw_tl_he_neohook.i.Omega( solid.mu, v, u ) + dw_tl_bulk_penalty.i.Omega( solid.K, v, u ) + dw_tl_fib_a.i.Omega( f1.fmax, f1.eps_opt, f1.s, f1.fdir, f1.act, v, u ) + dw_tl_fib_a.i.Omega( f2.fmax, f2.eps_opt, f2.s, f2.fdir, f2.act, v, u ) = 0""", } def stress_strain(out, problem, state, extend=False): from sfepy.base.base import Struct, debug ev = problem.evaluate strain = ev('dw_tl_he_neohook.i.Omega( solid.mu, v, u )', mode='el_avg', term_mode='strain') out['green_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) stress = ev('dw_tl_he_neohook.i.Omega( solid.mu, v, u )', mode='el_avg', term_mode='stress') out['neohook_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None ) stress = ev('dw_tl_bulk_penalty.i.Omega( solid.K, v, u )', mode='el_avg', term_mode= 'stress') out['bulk_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out ## # Solvers etc. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 7, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp': 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } solver_2 = { 'name' : 'ts', 'kind' : 'ts.simple', 't0' : 0, 't1' : 1, 'dt' : None, 'n_step' : 21, # has precedence over dt! } sfepy-release_2015.1/examples/large_deformation/hyperelastic.py000066400000000000000000000112111247364230400247760ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Nearly incompressible Mooney-Rivlin hyperelastic material model. Large deformation is described using the total Lagrangian formulation. Models of this kind can be used to model e.g. rubber or some biological materials. Find :math:`\ul{u}` such that: .. math:: \intl{\Omega\suz}{} \left( \ull{S}\eff(\ul{u}) + K(J-1)\; J \ull{C}^{-1} \right) : \delta \ull{E}(\ul{v}) \difd{V} = 0 \;, \quad \forall \ul{v} \;, where .. list-table:: :widths: 20 80 * - :math:`\ull{F}` - deformation gradient :math:`F_{ij} = \pdiff{x_i}{X_j}` * - :math:`J` - :math:`\det(F)` * - :math:`\ull{C}` - right Cauchy-Green deformation tensor :math:`C = F^T F` * - :math:`\ull{E}(\ul{u})` - Green strain tensor :math:`E_{ij} = \frac{1}{2}(\pdiff{u_i}{x_j} + \pdiff{u_j}{x_i} + \pdiff{u_m}{x_i}\pdiff{u_m}{x_j})` * - :math:`\ull{S}\eff(\ul{u})` - effective second Piola-Kirchhoff stress tensor The effective stress :math:`\ull{S}\eff(\ul{u})` is given by: .. math:: \ull{S}\eff(\ul{u}) = \mu J^{-\frac{2}{3}}(\ull{I} - \frac{1}{3}\tr(\ull{C}) \ull{C}^{-1}) + \kappa J^{-\frac{4}{3}} (\tr(\ull{C}\ull{I} - \ull{C} - \frac{2}{6}((\tr{\ull{C}})^2 - \tr{(\ull{C}^2)})\ull{C}^{-1}) \;. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, 'post_process_hook' : 'stress_strain', } field_1 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : 3, 'region' : 'Omega', 'approx_order' : 1, } material_1 = { 'name' : 'solid', 'values' : { 'K' : 1e3, # bulk modulus 'mu' : 20e0, # shear modulus of neoHookean term 'kappa' : 10e0, # shear modulus of Mooney-Rivlin term } } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } ## # Dirichlet BC + related functions. ebcs = { 'l' : ('Left', {'u.all' : 0.0}), 'r' : ('Right', {'u.0' : 0.0, 'u.[1,2]' : 'rotate_yz'}), } centre = nm.array( [0, 0], dtype = nm.float64 ) def rotate_yz(ts, coor, **kwargs): from sfepy.linalg import rotation_matrix2d vec = coor[:,1:3] - centre angle = 10.0 * ts.step print 'angle:', angle mtx = rotation_matrix2d( angle ) vec_rotated = nm.dot( vec, mtx ) displacement = vec_rotated - vec return displacement.T.flat functions = { 'rotate_yz' : (rotate_yz,), } def stress_strain( out, problem, state, extend = False ): from sfepy.base.base import Struct, debug ev = problem.evaluate strain = ev('dw_tl_he_neohook.i.Omega( solid.mu, v, u )', mode='el_avg', term_mode='strain') out['green_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) stress = ev('dw_tl_he_neohook.i.Omega( solid.mu, v, u )', mode='el_avg', term_mode='stress') out['neohook_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_tl_he_mooney_rivlin.i.Omega( solid.kappa, v, u )', mode='el_avg', term_mode='stress') out['mooney_rivlin_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_tl_bulk_penalty.i.Omega( solid.K, v, u )', mode='el_avg', term_mode= 'stress') out['bulk_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out ## # Balance of forces. integral_1 = { 'name' : 'i', 'order' : 1, } equations = { 'balance' : """dw_tl_he_neohook.i.Omega( solid.mu, v, u ) + dw_tl_he_mooney_rivlin.i.Omega( solid.kappa, v, u ) + dw_tl_bulk_penalty.i.Omega( solid.K, v, u ) = 0""", } ## # Solvers etc. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 5, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp': 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } solver_2 = { 'name' : 'ts', 'kind' : 'ts.simple', 't0' : 0, 't1' : 1, 'dt' : None, 'n_step' : 11, # has precedence over dt! } sfepy-release_2015.1/examples/large_deformation/hyperelastic_ul.py000066400000000000000000000067151247364230400255130ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Nearly incompressible Mooney-Rivlin hyperelastic material model. Large deformation is described using the updated Lagrangian formulation. Models of this kind can be used to model e.g. rubber or some biological materials. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' options = { 'nls': 'newton', 'ls': 'ls', 'ts': 'ts', 'ulf': True, 'mesh_update_variables': ['u'], 'output_dir': 'output', 'post_process_hook': 'stress_strain', } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid': ({'K': 1e3, # bulk modulus 'mu': 20e0, # shear modulus of neoHookean term 'kappa': 10e0, # shear modulus of Mooney-Rivlin term },), } variables = { 'u': ('unknown field', 'displacement', 0), 'v': ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } ## # Dirichlet BC + related functions. ebcs = { 'l' : ('Left', {'u.all' : 0.0}), 'r' : ('Right', {'u.0' : 0.0, 'u.[1,2]' : 'rotate_yz'}), } centre = nm.array( [0, 0], dtype = nm.float64 ) def rotate_yz(ts, coor, **kwargs): from sfepy.linalg import rotation_matrix2d vec = coor[:,1:3] - centre angle = 10.0 * ts.step print 'angle:', angle mtx = rotation_matrix2d( angle ) vec_rotated = nm.dot( vec, mtx ) displacement = vec_rotated - vec return displacement.T.flat functions = { 'rotate_yz' : (rotate_yz,), } def stress_strain( out, problem, state, extend = False ): from sfepy.base.base import Struct ev = problem.evaluate strain = ev('dw_ul_he_neohook.3.Omega( solid.mu, v, u )', mode='el_avg', term_mode='strain') out['green_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) stress = ev('dw_ul_he_neohook.3.Omega( solid.mu, v, u )', mode='el_avg', term_mode='stress') out['neohook_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_ul_he_mooney_rivlin.3.Omega( solid.kappa, v, u )', mode='el_avg', term_mode='stress') out['mooney_rivlin_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_ul_bulk_penalty.3.Omega( solid.K, v, u )', mode='el_avg', term_mode= 'stress') out['bulk_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out equations = { 'balance': """dw_ul_he_neohook.3.Omega( solid.mu, v, u ) + dw_ul_he_mooney_rivlin.3.Omega(solid.kappa, v, u) + dw_ul_bulk_penalty.3.Omega( solid.K, v, u ) = 0""", } ## # Solvers etc. solvers = { 'ls': ('ls.scipy_direct', {}), 'newton': ('nls.newton', { 'i_max': 25, 'eps_a': 1e-8, 'eps_r': 1.0, 'macheps': 1e-16, 'lin_red': 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red': 0.1, 'ls_red_warp': 0.001, 'ls_on': 1.1, 'ls_min': 1e-5, 'check': 0, 'delta': 1e-6, }), 'ts': ('ts.simple', { 't0': 0, 't1': 1, 'dt': None, 'n_step': 11, # has precedence over dt! }), } sfepy-release_2015.1/examples/large_deformation/hyperelastic_ul_up.py000066400000000000000000000073741247364230400262210ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Compressible Mooney-Rivlin hyperelastic material model. Large deformation is described using the updated Lagrangian formulation. Incompressibility is treated by mixed displacement-pressure formulation. Models of this kind can be used to model e.g. rubber or some biological materials. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' options = { 'nls': 'newton', 'ls': 'ls', 'ts': 'ts', 'ulf': True, 'mesh_update_variables': ['u'], 'output_dir': 'output', 'post_process_hook': 'stress_strain', } fields = { 'displacement': ('real', 'vector', 'Omega', 1), 'pressure': ('real', 'scalar', 'Omega', 0), } materials = { 'solid': ({'iK': 1.0 / 1e3, # bulk modulus 'mu': 20e0, # shear modulus of neoHookean term 'kappa': 10e0, # shear modulus of Mooney-Rivlin term },), } variables = { 'u': ('unknown field', 'displacement', 0), 'v': ('test field', 'displacement', 'u'), 'p': ('unknown field', 'pressure', 1), 'q': ('test field', 'pressure', 'p'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } ## # Dirichlet BC + related functions. ebcs = { 'l' : ('Left', {'u.all' : 0.0}), 'r' : ('Right', {'u.0' : 0.0, 'u.[1,2]' : 'rotate_yz'}), } centre = nm.array( [0, 0], dtype = nm.float64 ) def rotate_yz(ts, coor, **kwargs): from sfepy.linalg import rotation_matrix2d vec = coor[:,1:3] - centre angle = 10.0 * ts.step print 'angle:', angle mtx = rotation_matrix2d( angle ) vec_rotated = nm.dot( vec, mtx ) displacement = vec_rotated - vec return displacement.T.flat functions = { 'rotate_yz' : (rotate_yz,), } def stress_strain( out, problem, state, extend = False ): from sfepy.base.base import Struct ev = problem.evaluate strain = ev('dw_ul_he_neohook.3.Omega( solid.mu, v, u )', mode='el_avg', term_mode='strain') out['green_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) stress = ev('dw_ul_he_neohook.3.Omega( solid.mu, v, u )', mode='el_avg', term_mode='stress') out['neohook_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_ul_he_mooney_rivlin.3.Omega( solid.kappa, v, u )', mode='el_avg', term_mode='stress') out['mooney_rivlin_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) stress = ev('dw_ul_bulk_pressure.3.Omega( v, u, p )', mode='el_avg', term_mode= 'stress') out['bulk_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out equations = { 'balance': """dw_ul_he_neohook.3.Omega( solid.mu, v, u ) + dw_ul_he_mooney_rivlin.3.Omega(solid.kappa, v, u) + dw_ul_bulk_pressure.3.Omega( v, u, p ) = 0""", 'volume': """dw_ul_volume.3.Omega( q, u ) + dw_ul_compressible.3.Omega( solid.iK, q, p, u ) = 0""" } ## # Solvers etc. solvers = { 'ls': ('ls.scipy_direct', {}), 'newton': ('nls.newton', { 'i_max': 25, 'eps_a': 1e-8, 'eps_r': 1.0, 'macheps': 1e-16, 'lin_red': 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red': 0.1, 'ls_red_warp': 0.001, 'ls_on': 1.1, 'ls_min': 1e-5, 'check': 0, 'delta': 1e-6, }), 'ts': ('ts.simple', { 't0': 0, 't1': 1, 'dt': None, 'n_step': 11, # has precedence over dt! }), } sfepy-release_2015.1/examples/large_deformation/perfusion_tl.py000066400000000000000000000144341247364230400250250ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Porous nearly incompressible hyperelastic material with fluid perfusion. Large deformation is described using the total Lagrangian formulation. Models of this kind can be used in biomechanics to model biological tissues, e.g. muscles. Find :math:`\ul{u}` such that: (equilibrium equation with boundary tractions) .. math:: \intl{\Omega\suz}{} \left( \ull{S}\eff - p J \ull{C}^{-1} \right) : \delta \ull{E}(\ul{v}) \difd{V} + \intl{\Gamma_0\suz}{} \ul{\nu} \cdot \ull{F}^{-1} \cdot \ull{\sigma} \cdot \ul{v} J \difd{S} = 0 \;, \quad \forall \ul{v} \;, (mass balance equation (perfusion)) .. math:: \intl{\Omega\suz}{} q J(\ul{u}) + \intl{\Omega\suz}{} \ull{K}(\ul{u}\sunm) : \pdiff{q}{X} \pdiff{p}{X} = \intl{\Omega\suz}{} q J(\ul{u}\sunm) \;, \quad \forall q \;, where .. list-table:: :widths: 20 80 * - :math:`\ull{F}` - deformation gradient :math:`F_{ij} = \pdiff{x_i}{X_j}` * - :math:`J` - :math:`\det(F)` * - :math:`\ull{C}` - right Cauchy-Green deformation tensor :math:`C = F^T F` * - :math:`\ull{E}(\ul{u})` - Green strain tensor :math:`E_{ij} = \frac{1}{2}(\pdiff{u_i}{x_j} + \pdiff{u_j}{x_i} + \pdiff{u_m}{x_i}\pdiff{u_m}{x_j})` * - :math:`\ull{S}\eff(\ul{u})` - effective second Piola-Kirchhoff stress tensor The effective (neo-Hookean) stress :math:`\ull{S}\eff(\ul{u})` is given by: .. math:: \ull{S}\eff(\ul{u}) = \mu J^{-\frac{2}{3}}(\ull{I} - \frac{1}{3}\tr(\ull{C}) \ull{C}^{-1}) \;. The linearized deformation-dependent permeability is defined as :math:`\ull{K}(\ul{u}) = J \ull{F}^{-1} \ull{k} f(J) \ull{F}^{-T}`, where :math:`\ul{u}` relates to the previous time step :math:`(n-1)` and :math:`f(J) = \max\left(0, \left(1 + \frac{(J - 1)}{N_f}\right)\right)^2` expresses the dependence on volume compression/expansion. """ import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' # Time-stepping parameters. t0 = 0.0 t1 = 1.0 n_step = 21 from sfepy.solvers.ts import TimeStepper ts = TimeStepper(t0, t1, None, n_step) options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, 'post_process_hook' : 'post_process', } fields = { 'displacement': ('real', 3, 'Omega', 1), 'pressure' : ('real', 1, 'Omega', 1), } materials = { # Perfused solid. 'ps' : ({ 'mu' : 20e0, # shear modulus of neoHookean term 'k' : ts.dt * nm.eye(3, dtype=nm.float64), # reference permeability 'N_f' : 1.0, # reference porosity },), # Surface pressure traction. 'traction' : 'get_traction', } variables = { 'u' : ('unknown field', 'displacement', 0, 1), 'v' : ('test field', 'displacement', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } ## # Dirichlet BC. ebcs = { 'l' : ('Left', {'u.all' : 0.0, 'p.0' : 'get_pressure'}), } ## # Balance of forces. integrals = { 'i1' : 1, 'i2' : 2, } equations = { 'force_balance' : """dw_tl_he_neohook.i1.Omega( ps.mu, v, u ) + dw_tl_bulk_pressure.i1.Omega( v, u, p ) + dw_tl_surface_traction.i2.Right( traction.pressure, v, u ) = 0""", 'mass_balance' : """dw_tl_volume.i1.Omega( q, u ) + dw_tl_diffusion.i1.Omega( ps.k, ps.N_f, q, p, u[-1]) = dw_tl_volume.i1.Omega( q, u[-1] )""" } def post_process(out, problem, state, extend=False): from sfepy.base.base import Struct, debug val = problem.evaluate('dw_tl_he_neohook.i1.Omega( ps.mu, v, u )', mode='el_avg', term_mode='strain') out['green_strain'] = Struct(name='output_data', mode='cell', data=val, dofs=None) val = problem.evaluate('dw_tl_he_neohook.i1.Omega( ps.mu, v, u )', mode='el_avg', term_mode='stress') out['neohook_stress'] = Struct(name='output_data', mode='cell', data=val, dofs=None) val = problem.evaluate('dw_tl_bulk_pressure.i1.Omega( v, u, p )', mode='el_avg', term_mode='stress') out['bulk_pressure'] = Struct(name='output_data', mode='cell', data=val, dofs=None) val = problem.evaluate('dw_tl_diffusion.i1.Omega( ps.k, ps.N_f, q, p, u[-1] )', mode='el_avg', term_mode='diffusion_velocity') out['diffusion_velocity'] = Struct(name='output_data', mode='cell', data=val, dofs=None) return out ## # Solvers etc. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 7, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp': 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } solver_2 = { 'name' : 'ts', 'kind' : 'ts.simple', 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, # has precedence over dt! } ## # Functions. def get_traction(ts, coors, mode=None): """ Pressure traction. Parameters ---------- ts : TimeStepper Time stepping info. coors : array_like The physical domain coordinates where the parameters shound be defined. mode : 'qp' or 'special' Call mode. """ if mode != 'qp': return tt = ts.nt * 2.0 * nm.pi dim = coors.shape[1] val = 0.05 * nm.sin(tt) * nm.eye(dim, dtype=nm.float64) val[1,0] = val[0,1] = 0.5 * val[0,0] shape = (coors.shape[0], 1, 1) out = { 'pressure' : nm.tile(val, shape), } return out def get_pressure(ts, coor, **kwargs): """Internal pressure Dirichlet boundary condition.""" tt = ts.nt * 2.0 * nm.pi val = nm.zeros((coor.shape[0],), dtype=nm.float64) val[:] = 1e-2 * nm.sin(tt) return val functions = { 'get_traction' : (lambda ts, coors, mode=None, **kwargs: get_traction(ts, coors, mode=mode),), 'get_pressure' : (get_pressure,), } sfepy-release_2015.1/examples/linear_elasticity/000077500000000000000000000000001247364230400217575ustar00rootroot00000000000000sfepy-release_2015.1/examples/linear_elasticity/__init__.py000066400000000000000000000000001247364230400240560ustar00rootroot00000000000000sfepy-release_2015.1/examples/linear_elasticity/elastic_contact_planes.py000066400000000000000000000110271247364230400270330ustar00rootroot00000000000000r""" Elastic contact planes simulating an indentation test. Four contact planes bounded by polygons (triangles in this case) form a very rigid pyramid shape simulating an indentor. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) + \sum_{i=1}^4 \int_{\Gamma_i} \ul{v} \cdot f^i(d(\ul{u})) \ul{n^i} = 0 \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl} + \delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. Notes ----- Even though the material is linear elastic and small deformations are used, the problem is highly nonlinear due to contacts with the planes. Checking the tangent matrix by finite differences by setting 'check' in 'nls' solver configuration to nonzero is rather tricky - the active contact points must not change during the test. This can be ensured by a sufficient initial penetration and large enough contact boundary polygons (hard!), or by tweaking the dw_contact_plane term to mask points only by undeformed coordinates. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cube_medium_hexa.mesh' k = 1e5 # Elastic plane stiffness for positive penetration. f0 = 1e2 # Force at zero penetration. dn = 0.2 # x or y component magnitude of normals. ds = 0.25 # Boundary polygon size in horizontal directions. az = 0.4 # Anchor z coordinate. options = { 'ts' : 'ts', 'nls' : 'newton', 'ls' : 'lsd', 'output_format': 'vtk', } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid' : ({ 'lam' : 5.769, 'mu' : 3.846, },), 'cp0' : ({ 'f' : [k, f0], '.n' : [dn, 0.0, 1.0], '.a' : [0.0, 0.0, az], '.bs' : [[0.0, 0.0, az], [-ds, -ds, az], [-ds, ds, az]], },), 'cp1' : ({ 'f' : [k, f0], '.n' : [-dn, 0.0, 1.0], '.a' : [0.0, 0.0, az], '.bs' : [[0.0, 0.0, az], [ds, -ds, az], [ds, ds, az]], },), 'cp2' : ({ 'f' : [k, f0], '.n' : [0.0, dn, 1.0], '.a' : [0.0, 0.0, az], '.bs' : [[0.0, 0.0, az], [-ds, -ds, az], [ds, -ds, az]], },), 'cp3' : ({ 'f' : [k, f0], '.n' : [0.0, -dn, 1.0], '.a' : [0.0, 0.0, az], '.bs' : [[0.0, 0.0, az], [-ds, ds, az], [ds, ds, az]], },), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Bottom' : ('vertices in (z < -0.499)', 'facet'), 'Top' : ('vertices in (z > 0.499)', 'facet'), } ebcs = { 'fixed' : ('Bottom', {'u.all' : 0.0}), } equations = { 'elasticity' : """dw_lin_elastic_iso.2.Omega(solid.lam, solid.mu, v, u) + dw_contact_plane.2.Top(cp0.f, cp0.n, cp0.a, cp0.bs, v, u) + dw_contact_plane.2.Top(cp1.f, cp1.n, cp1.a, cp1.bs, v, u) + dw_contact_plane.2.Top(cp2.f, cp2.n, cp2.a, cp2.bs, v, u) + dw_contact_plane.2.Top(cp3.f, cp3.n, cp3.a, cp3.bs, v, u) = 0""", } solvers = { 'lsd' : ('ls.scipy_direct', {}), 'lsi' : ('ls.petsc', { 'method' : 'cg', 'eps_r' : 1e-8, 'i_max' : 3000, }), 'newton' : ('nls.newton', { 'i_max' : 10, 'eps_a' : 1e-10, 'check' : 0, 'delta' : 1e-6, }), } def main(): import os import numpy as nm import matplotlib.pyplot as plt from sfepy.discrete.fem import MeshIO import sfepy.linalg as la from sfepy.mechanics.contact_bodies import (ContactPlane, plot_polygon, plot_points) conf_dir = os.path.dirname(__file__) io = MeshIO.any_from_filename(filename_mesh, prefix_dir=conf_dir) bb = io.read_bounding_box() outline = [vv for vv in la.combine(zip(*bb))] ax = plot_points(None, nm.array(outline), 'r*') for name in ['cp%d' % ii for ii in range(4)]: cpc = materials[name][0] cp = ContactPlane(cpc['.a'], cpc['.n'], cpc['.bs']) v1, v2 = la.get_perpendiculars(cp.normal) ax = plot_polygon(ax, cp.bounds) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + cp.normal[None, :]]) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + v1]) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + v2]) plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/examples/linear_elasticity/elastic_contact_sphere.py000066400000000000000000000050751247364230400270450ustar00rootroot00000000000000r""" Elastic contact sphere simulating an indentation test. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) + \int_{\Gamma} \ul{v} \cdot f(d(\ul{u})) \ul{n}(\ul{u}) = 0 \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl} + \delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. Notes ----- Even though the material is linear elastic and small deformations are used, the problem is highly nonlinear due to contacts with the sphere. See also elastic_contact_planes.py example. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cube_medium_hexa.mesh' k = 1e5 # Elastic sphere stiffness for positive penetration. f0 = 1e-2 # Force at zero penetration. options = { 'nls' : 'newton', 'ls' : 'ls', 'output_format': 'vtk', } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid' : ({ 'lam' : 5.769, 'mu' : 3.846, },), 'cs' : ({ 'f' : [k, f0], '.c' : [0.0, 0.0, 1.2], '.r' : 0.8, },), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Bottom' : ('vertices in (z < -0.499)', 'facet'), 'Top' : ('vertices in (z > 0.499)', 'facet'), } ebcs = { 'fixed' : ('Bottom', {'u.all' : 0.0}), } equations = { 'elasticity' : """dw_lin_elastic_iso.2.Omega(solid.lam, solid.mu, v, u) + dw_contact_sphere.2.Top(cs.f, cs.c, cs.r, v, u) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 20, 'eps_a' : 1e-1, 'ls_on' : 2.0, 'check' : 0, 'delta' : 1e-6, }), } def main(): import os import numpy as nm import matplotlib.pyplot as plt from sfepy.discrete.fem import MeshIO import sfepy.linalg as la from sfepy.mechanics.contact_bodies import ContactSphere, plot_points conf_dir = os.path.dirname(__file__) io = MeshIO.any_from_filename(filename_mesh, prefix_dir=conf_dir) bb = io.read_bounding_box() outline = [vv for vv in la.combine(zip(*bb))] ax = plot_points(None, nm.array(outline), 'r*') csc = materials['cs'][0] cs = ContactSphere(csc['.c'], csc['.r']) pps = (bb[1] - bb[0]) * nm.random.rand(5000, 3) + bb[0] mask = cs.mask_points(pps, 0.0) ax = plot_points(ax, cs.centre[None, :], 'b*', ms=30) ax = plot_points(ax, pps[mask], 'kv') ax = plot_points(ax, pps[~mask], 'r.') plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/examples/linear_elasticity/elastic_shifted_periodic.py000066400000000000000000000076601247364230400273520ustar00rootroot00000000000000r""" Linear elasticity with linear combination constraints and periodic boundary conditions. The linear combination constraints are used to apply periodic boundary conditions with a shift in the second axis direction. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = - \int_{\Gamma_{bottom}} \ul{v} \cdot \ull{\sigma} \cdot \ul{n} \;, \quad \forall \ul{v} \;, \ul{u} = 0 \mbox{ on } \Gamma_{left} \;, u_1 = u_2 = 0 \mbox{ on } \Gamma_{right} \;, \ul{u}(\ul{x}) = \ul{u}(\ul{y}) \mbox{ for } \ul{x} \in \Gamma_{bottom}, \ul{y} \in \Gamma_{top}, \ul{y} = P_1(\ul{x}) \;, \ul{u}(\ul{x}) = \ul{u}(\ul{y}) + a(\ul{y}) \mbox{ for } \ul{x} \in \Gamma_{near}, \ul{y} \in \Gamma_{far}, \ul{y} = P_2(\ul{x}) \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;, and the traction :math:`\ull{\sigma} \cdot \ul{n} = \bar{p} \ull{I} \cdot \ul{n}` is given in terms of traction pressure :math:`\bar{p}`. The function :math:`a(\ul{y})` is given (the shift), :math:`P_1` and :math:`P_2` are the periodic coordinate mappings. View the results using:: $ ./postproc.py block.vtk --wireframe -b --only-names=u -d'u,plot_displacements,rel_scaling=1,color_kind="scalars",color_name="von_mises_stress"' """ import numpy as nm from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy.mechanics.tensors import get_von_mises_stress import sfepy.discrete.fem.periodic as per from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/block.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', 'post_process_hook' : 'post_process' } def post_process(out, pb, state, extend=False): """ Calculate and output strain and stress for given displacements. """ from sfepy.base.base import Struct ev = pb.evaluate stress = ev('ev_cauchy_stress.2.Omega(solid.D, u)', mode='el_avg') vms = get_von_mises_stress(stress.squeeze()) vms.shape = (vms.shape[0], 1, 1, 1) out['von_mises_stress'] = Struct(name='output_data', mode='cell', data=vms, dofs=None) return out def linear_tension(ts, coor, mode=None, **kwargs): if mode == 'qp': val = 0.1 * nm.sin(coor[:, 0] / 10.) return {'val' : val.reshape((coor.shape[0], 1, 1))} def get_shift(ts, coors, region=None): val = nm.zeros_like(coors, dtype=nm.float64) val[:, 1] = 0.1 * coors[:, 0] return val.T functions = { 'get_shift' : (get_shift,), 'linear_tension' : (linear_tension,), 'match_y_plane' : (per.match_y_plane,), 'match_z_plane' : (per.match_z_plane,), } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=5.769, mu=3.846), },), 'load' : (None, 'linear_tension') } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), 'Right' : ('vertices in (x > 4.99)', 'facet'), 'Bottom' : ('vertices in (z < -0.99)', 'facet'), 'Top' : ('vertices in (z > 0.99)', 'facet'), 'Near' : ('vertices in (y < -0.99)', 'facet'), 'Far' : ('vertices in (y > 0.99)', 'facet'), } ebcs = { 'fix1' : ('Left', {'u.all' : 0.0}), 'fix2' : ('Right', {'u.[1,2]' : 0.0}), } epbcs = { 'periodic' : (['Bottom', 'Top'], {'u.all' : 'u.all'}, 'match_z_plane'), } lcbcs = { 'shifted' : (('Near', 'Far'), {'u.all' : 'u.all'}, 'match_y_plane', 'shifted_periodic', 'get_shift'), } equations = { 'elasticity' : """ dw_lin_elastic.2.Omega(solid.D, v, u) = -dw_surface_ltr.2.Bottom(load.val, v) """, } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/linear_elasticity/its2D_1.py000066400000000000000000000034371247364230400235450ustar00rootroot00000000000000r""" Diametrically point loaded 2-D disk. See :ref:`sec-primer`. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from sfepy.mechanics.matcoefs import lame_from_youngpoisson from sfepy.discrete.fem.utils import refine_mesh from sfepy import data_dir # Fix the mesh file name if you run this file outside the SfePy directory. filename_mesh = data_dir + '/meshes/2d/its2D.mesh' refinement_level = 0 filename_mesh = refine_mesh(filename_mesh, refinement_level) output_dir = '.' # set this to a valid directory you have write access to young = 2000.0 # Young's modulus [MPa] poisson = 0.4 # Poisson's ratio options = { 'output_dir' : output_dir, } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Bottom' : ('vertices in (y < 0.001)', 'facet'), 'Top' : ('vertex 2', 'vertex'), } materials = { 'Asphalt' : ({ 'lam' : lame_from_youngpoisson(young, poisson)[0], 'mu' : lame_from_youngpoisson(young, poisson)[1], },), 'Load' : ({'.val' : [0.0, -1000.0]},), } fields = { 'displacement': ('real', 'vector', 'Omega', 1), } equations = { 'balance_of_forces' : """dw_lin_elastic_iso.2.Omega(Asphalt.lam, Asphalt.mu, v, u ) = dw_point_load.0.Top(Load.val, v)""", } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } ebcs = { 'XSym' : ('Bottom', {'u.1' : 0.0}), 'YSym' : ('Left', {'u.0' : 0.0}), } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-6, }), } sfepy-release_2015.1/examples/linear_elasticity/its2D_2.py000066400000000000000000000022771247364230400235470ustar00rootroot00000000000000r""" Diametrically point loaded 2-D disk with postprocessing. See :ref:`sec-primer`. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from its2D_1 import * from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson def stress_strain(out, pb, state, extend=False): """ Calculate and output strain and stress for given displacements. """ from sfepy.base.base import Struct ev = pb.evaluate strain = ev('ev_cauchy_strain.2.Omega(u)', mode='el_avg') stress = ev('ev_cauchy_stress.2.Omega(Asphalt.D, u)', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out asphalt = materials['Asphalt'][0] asphalt.update({'D' : stiffness_from_youngpoisson(2, young, poisson)}) options.update({'post_process_hook' : 'stress_strain',}) sfepy-release_2015.1/examples/linear_elasticity/its2D_3.py000066400000000000000000000043611247364230400235440ustar00rootroot00000000000000r""" Diametrically point loaded 2-D disk with nodal stress calculation. See :ref:`sec-primer`. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from its2D_1 import * from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson from sfepy.discrete.fem.geometry_element import geometry_data from sfepy.discrete import FieldVariable from sfepy.discrete.fem import Field import numpy as nm gdata = geometry_data['2_3'] nc = len(gdata.coors) def nodal_stress(out, pb, state, extend=False, integrals=None): ''' Calculate stresses at nodal points. ''' # Point load. mat = pb.get_materials()['Load'] P = 2.0 * mat.get_data('special', None, 'val')[1] # Calculate nodal stress. pb.time_update() if integrals is None: integrals = pb.get_integrals() stress = pb.evaluate('ev_cauchy_stress.ivn.Omega(Asphalt.D, u)', mode='qp', integrals=integrals) sfield = Field.from_args('stress', nm.float64, (3,), pb.domain.regions['Omega']) svar = FieldVariable('sigma', 'parameter', sfield, primary_var_name='(set-to-None)') svar.set_data_from_qp(stress, integrals['ivn']) print '\n==================================================================' print 'Given load = %.2f N' % -P print '\nAnalytical solution' print '===================' print 'Horizontal tensile stress = %.5e MPa/mm' % (-2.*P/(nm.pi*150.)) print 'Vertical compressive stress = %.5e MPa/mm' % (-6.*P/(nm.pi*150.)) print '\nFEM solution' print '============' print 'Horizontal tensile stress = %.5e MPa/mm' % (svar()[0][0]) print 'Vertical compressive stress = %.5e MPa/mm' % (-svar()[0][1]) print '==================================================================' return out asphalt = materials['Asphalt'][0] asphalt.update({'D' : stiffness_from_youngpoisson(2, young, poisson)}) options.update({'post_process_hook' : 'nodal_stress',}) integrals = { 'ivn' : ('custom', gdata.coors, [gdata.volume / nc] * nc), } sfepy-release_2015.1/examples/linear_elasticity/its2D_4.py000066400000000000000000000102161247364230400235410ustar00rootroot00000000000000r""" Diametrically point loaded 2-D disk with postprocessing and probes. See :ref:`sec-primer`. Use it as follows (assumes running from the sfepy directory; on Windows, you may need to prefix all the commands with "python " and remove "./"): 1. solve the problem:: ./simple.py examples/linear_elasticity/its2D_4.py 2. optionally, view the results:: ./postproc.py its2D.h5 -b 3. optionally, convert results to VTK, and view again:: ./extractor.py -d its2D.h5 ./postproc.py its2D.vtk -b 4. probe the data:: ./probe.py examples/linear_elasticity/its2D_4.py its2D.h5 Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from its2D_1 import * from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson def stress_strain(out, pb, state, extend=False): """ Calculate and output strain and stress for given displacements. """ from sfepy.base.base import Struct ev = pb.evaluate strain = ev('ev_cauchy_strain.2.Omega(u)', mode='el_avg') stress = ev('ev_cauchy_stress.2.Omega(Asphalt.D, u)', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) return out def gen_lines(problem): from sfepy.discrete.probes import LineProbe ps0 = [[0.0, 0.0], [ 0.0, 0.0]] ps1 = [[75.0, 0.0], [ 0.0, 75.0]] # Use adaptive probe with 10 inital points. n_point = -10 labels = ['%s -> %s' % (p0, p1) for p0, p1 in zip(ps0, ps1)] probes = [] for ip in xrange(len(ps0)): p0, p1 = ps0[ip], ps1[ip] probes.append(LineProbe(p0, p1, n_point)) return probes, labels def probe_hook(data, probe, label, problem): import matplotlib.pyplot as plt import matplotlib.font_manager as fm def get_it(name, var_name): var = problem.create_variables([var_name])[var_name] var.set_data(data[name].data) pars, vals = probe(var) vals = vals.squeeze() return pars, vals results = {} results['u'] = get_it('u', 'u') results['cauchy_strain'] = get_it('cauchy_strain', 's') results['cauchy_stress'] = get_it('cauchy_stress', 's') fig = plt.figure() plt.clf() fig.subplots_adjust(hspace=0.4) plt.subplot(311) pars, vals = results['u'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$u_{%d}$' % (ic + 1), lw=1, ls='-', marker='+', ms=3) plt.ylabel('displacements') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=10)) sym_indices = ['11', '22', '12'] plt.subplot(312) pars, vals = results['cauchy_strain'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$e_{%s}$' % sym_indices[ic], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy strain') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) plt.subplot(313) pars, vals = results['cauchy_stress'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$\sigma_{%s}$' % sym_indices[ic], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy stress') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) return plt.gcf(), results materials['Asphalt'][0].update({'D' : stiffness_from_youngpoisson(2, young, poisson)}) # Update fields and variables to be able to use probes for tensors. fields.update({ 'sym_tensor': ('real', 3, 'Omega', 0), }) variables.update({ 's' : ('parameter field', 'sym_tensor', None), }) options.update({ 'output_format' : 'h5', # VTK reader cannot read cell data yet for probing 'post_process_hook' : 'stress_strain', 'gen_probes' : 'gen_lines', 'probe_hook' : 'probe_hook', }) sfepy-release_2015.1/examples/linear_elasticity/its2D_5.py000066400000000000000000000064241247364230400235500ustar00rootroot00000000000000r""" Diametrically point loaded 2-D disk with postprocessing and probes. See :ref:`sec-primer`. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from its2D_1 import * from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson from sfepy.postprocess.probes_vtk import Probe import os def stress_strain(out, pb, state, extend=False): """ Calculate and output strain and stress for given displacements. """ from sfepy.base.base import Struct import matplotlib.pyplot as plt import matplotlib.font_manager as fm ev = pb.evaluate strain = ev('ev_cauchy_strain.2.Omega(u)', mode='el_avg') stress = ev('ev_cauchy_stress.2.Omega(Asphalt.D, u)', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) probe = Probe(out, pb.domain.mesh, probe_view=True) ps0 = [[0.0, 0.0, 0.0], [ 0.0, 0.0, 0.0]] ps1 = [[75.0, 0.0, 0.0], [ 0.0, 75.0, 0.0]] n_point = 10 labels = ['%s -> %s' % (p0, p1) for p0, p1 in zip(ps0, ps1)] probes = [] for ip in xrange(len(ps0)): p0, p1 = ps0[ip], ps1[ip] probes.append('line%d' % ip) probe.add_line_probe('line%d' % ip, p0, p1, n_point) for ip, label in zip(probes, labels): fig = plt.figure() plt.clf() fig.subplots_adjust(hspace=0.4) plt.subplot(311) pars, vals = probe(ip, 'u') for ic in range(vals.shape[1] - 1): plt.plot(pars, vals[:,ic], label=r'$u_{%d}$' % (ic + 1), lw=1, ls='-', marker='+', ms=3) plt.ylabel('displacements') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=10)) sym_indices = [0, 4, 1] sym_labels = ['11', '22', '12'] plt.subplot(312) pars, vals = probe(ip, 'cauchy_strain') for ii, ic in enumerate(sym_indices): plt.plot(pars, vals[:,ic], label=r'$e_{%s}$' % sym_labels[ii], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy strain') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) plt.subplot(313) pars, vals = probe(ip, 'cauchy_stress') for ii, ic in enumerate(sym_indices): plt.plot(pars, vals[:,ic], label=r'$\sigma_{%s}$' % sym_labels[ii], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy stress') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) opts = pb.conf.options filename_results = os.path.join(opts.get('output_dir'), 'its2D_probe_%s.png' % ip) fig.savefig(filename_results) return out materials['Asphalt'][0].update({'D' : stiffness_from_youngpoisson(2, young, poisson)}) options.update({ 'post_process_hook' : 'stress_strain', }) sfepy-release_2015.1/examples/linear_elasticity/its2D_interactive.py000077500000000000000000000252451247364230400257260ustar00rootroot00000000000000#!/usr/bin/env python """ Diametrically point loaded 2-D disk, using commands for interactive use. See :ref:`sec-primer`. The script combines the functionality of all the ``its2D_?.py`` examples and allows setting various simulation parameters, namely: - material parameters - displacement field approximation order - uniform mesh refinement level The example shows also how to probe the results as in :ref:`linear_elasticity-its2D_4`, and how to display the results using Mayavi. Using :mod:`sfepy.discrete.probes` allows correct probing of fields with the approximation order greater than one. In the SfePy top-level directory the following command can be used to get usage information:: python examples/linear_elasticity/its2D_interactive.py -h Notes ----- The ``--probe`` and ``--show`` options work simultaneously only if Mayavi and Matplotlib use the same backend type (for example wx). """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm import matplotlib.pyplot as plt from sfepy.base.base import assert_, output, ordered_iteritems, IndexedStruct from sfepy.discrete import (FieldVariable, Material, Integral, Integrals, Equation, Equations, Problem) from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.terms import Term from sfepy.discrete.conditions import Conditions, EssentialBC from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton from sfepy.discrete.fem.geometry_element import geometry_data from sfepy.discrete.probes import LineProbe from sfepy.discrete.projections import make_l2_projection_data from its2D_2 import stress_strain from its2D_3 import nodal_stress def project_by_component(tensor, tensor_qp, component, order): """ Wrapper around make_l2_projection_data() for non-scalar fields. """ aux = [] for ic in range(3): make_l2_projection_data(component, tensor_qp[..., ic, :].copy(), order=order) aux.append(component()) tensor.set_data(nm.array(aux).T.ravel()) def gen_lines(problem): """ Define two line probes. Additional probes can be added by appending to `ps0` (start points) and `ps1` (end points) lists. """ ps0 = [[0.0, 0.0], [0.0, 0.0]] ps1 = [[75.0, 0.0], [0.0, 75.0]] # Use enough points for higher order approximations. n_point = 1000 labels = ['%s -> %s' % (p0, p1) for p0, p1 in zip(ps0, ps1)] probes = [] for ip in xrange(len(ps0)): p0, p1 = ps0[ip], ps1[ip] probes.append(LineProbe(p0, p1, n_point)) return probes, labels def probe_retults(u, strain, stress, probe, label): """ Probe the results using the given probe and plot the probed values. """ results = {} pars, vals = probe(u) results['u'] = (pars, vals) pars, vals = probe(strain) results['cauchy_strain'] = (pars, vals) pars, vals = probe(stress) results['cauchy_stress'] = (pars, vals) fig = plt.figure() plt.clf() fig.subplots_adjust(hspace=0.4) plt.subplot(311) pars, vals = results['u'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$u_{%d}$' % (ic + 1), lw=1, ls='-', marker='+', ms=3) plt.ylabel('displacements') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', fontsize=10) sym_indices = ['11', '22', '12'] plt.subplot(312) pars, vals = results['cauchy_strain'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$e_{%s}$' % sym_indices[ic], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy strain') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', fontsize=10) plt.subplot(313) pars, vals = results['cauchy_stress'] for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$\sigma_{%s}$' % sym_indices[ic], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy stress') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', fontsize=10) return fig, results usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'young' : "the Young's modulus [default: %default]", 'poisson' : "the Poisson's ratio [default: %default]", 'load' : "the vertical load value (negative means compression)" " [default: %default]", 'order' : 'displacement field approximation order [default: %default]', 'refine' : 'uniform mesh refinement level [default: %default]', 'probe' : 'probe the results', 'show' : 'show the results figure', } def main(): from sfepy import data_dir parser = OptionParser(usage=usage, version='%prog') parser.add_option('--young', metavar='float', type=float, action='store', dest='young', default=2000.0, help=helps['young']) parser.add_option('--poisson', metavar='float', type=float, action='store', dest='poisson', default=0.4, help=helps['poisson']) parser.add_option('--load', metavar='float', type=float, action='store', dest='load', default=-1000.0, help=helps['load']) parser.add_option('--order', metavar='int', type=int, action='store', dest='order', default=1, help=helps['order']) parser.add_option('-r', '--refine', metavar='int', type=int, action='store', dest='refine', default=0, help=helps['refine']) parser.add_option('-s', '--show', action="store_true", dest='show', default=False, help=helps['show']) parser.add_option('-p', '--probe', action="store_true", dest='probe', default=False, help=helps['probe']) options, args = parser.parse_args() assert_((0.0 < options.poisson < 0.5), "Poisson's ratio must be in ]0, 0.5[!") assert_((0 < options.order), 'displacement approximation order must be at least 1!') output('using values:') output(" Young's modulus:", options.young) output(" Poisson's ratio:", options.poisson) output(' vertical load:', options.load) output('uniform mesh refinement level:', options.refine) # Build the problem definition. mesh = Mesh.from_file(data_dir + '/meshes/2d/its2D.mesh') domain = FEDomain('domain', mesh) if options.refine > 0: for ii in xrange(options.refine): output('refine %d...' % ii) domain = domain.refine() output('... %d nodes %d elements' % (domain.shape.n_nod, domain.shape.n_el)) omega = domain.create_region('Omega', 'all') left = domain.create_region('Left', 'vertices in x < 0.001', 'facet') bottom = domain.create_region('Bottom', 'vertices in y < 0.001', 'facet') top = domain.create_region('Top', 'vertex 2', 'vertex') field = Field.from_args('fu', nm.float64, 'vector', omega, approx_order=options.order) u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') D = stiffness_from_youngpoisson(2, options.young, options.poisson) asphalt = Material('Asphalt', D=D) load = Material('Load', values={'.val' : [0.0, options.load]}) integral = Integral('i', order=2*options.order) integral0 = Integral('i', order=0) t1 = Term.new('dw_lin_elastic(Asphalt.D, v, u)', integral, omega, Asphalt=asphalt, v=v, u=u) t2 = Term.new('dw_point_load(Load.val, v)', integral0, top, Load=load, v=v) eq = Equation('balance', t1 - t2) eqs = Equations([eq]) xsym = EssentialBC('XSym', bottom, {'u.1' : 0.0}) ysym = EssentialBC('YSym', left, {'u.0' : 0.0}) ls = ScipyDirect({}) nls_status = IndexedStruct() nls = Newton({}, lin_solver=ls, status=nls_status) pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls) pb.time_update(ebcs=Conditions([xsym, ysym])) # Solve the problem. state = pb.solve() output(nls_status) # Postprocess the solution. out = state.create_output_dict() out = stress_strain(out, pb, state, extend=True) pb.save_state('its2D_interactive.vtk', out=out) gdata = geometry_data['2_3'] nc = len(gdata.coors) integral_vn = Integral('ivn', coors=gdata.coors, weights=[gdata.volume / nc] * nc) nodal_stress(out, pb, state, integrals=Integrals([integral_vn])) if options.probe: # Probe the solution. probes, labels = gen_lines(pb) sfield = Field.from_args('sym_tensor', nm.float64, 3, omega, approx_order=options.order - 1) stress = FieldVariable('stress', 'parameter', sfield, primary_var_name='(set-to-None)') strain = FieldVariable('strain', 'parameter', sfield, primary_var_name='(set-to-None)') cfield = Field.from_args('component', nm.float64, 1, omega, approx_order=options.order - 1) component = FieldVariable('component', 'parameter', cfield, primary_var_name='(set-to-None)') ev = pb.evaluate order = 2 * (options.order - 1) strain_qp = ev('ev_cauchy_strain.%d.Omega(u)' % order, mode='qp') stress_qp = ev('ev_cauchy_stress.%d.Omega(Asphalt.D, u)' % order, mode='qp') project_by_component(strain, strain_qp, component, order) project_by_component(stress, stress_qp, component, order) all_results = [] for ii, probe in enumerate(probes): fig, results = probe_retults(u, strain, stress, probe, labels[ii]) fig.savefig('its2D_interactive_probe_%d.png' % ii) all_results.append(results) for ii, results in enumerate(all_results): output('probe %d:' % ii) output.level += 2 for key, res in ordered_iteritems(results): output(key + ':') val = res[1] output(' min: %+.2e, mean: %+.2e, max: %+.2e' % (val.min(), val.mean(), val.max())) output.level -= 2 if options.show: # Show the solution. If the approximation order is greater than 1, the # extra DOFs are simply thrown away. from sfepy.postprocess.viewer import Viewer view = Viewer('its2D_interactive.vtk') view(vector_mode='warp_norm', rel_scaling=1, is_scalar_bar=True, is_wireframe=True) if __name__ == '__main__': main() sfepy-release_2015.1/examples/linear_elasticity/linear_elastic.py000066400000000000000000000045151247364230400253140ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Linear elasticity with given displacements. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. This example models a cylinder that is fixed at one end while the second end has a specified displacement of 0.01 in the x direction (this boundary condition is named ``'Displaced'``). There is also a specified displacement of 0.005 in the z direction for points in the region labeled ``'SomewhereTop'``. This boundary condition is named ``'PerturbedSurface'``. The region ``'SomewhereTop'`` is specified as those vertices for which:: (z > 0.017) & (x > 0.03) & (x < 0.07) The displacement field (three DOFs/node) in the ``'Omega region'`` is approximated using P1 (four-node tetrahedral) finite elements. The material is linear elastic and its properties are specified as Lamé parameters :math:`\lambda` and :math:`\mu` (see http://en.wikipedia.org/wiki/Lam%C3%A9_parameters) The output is the displacement for each vertex, saved by default to cylinder.vtk. View the results using:: $ ./postproc.py cylinder.vtk --wireframe -b --only-names=u -d'u,plot_displacements,rel_scaling=1' """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), 'SomewhereTop' : ('vertices in (z > 0.017) & (x > 0.03) & (x < 0.07)', 'vertex'), } materials = { 'solid' : ({'lam' : 1e1, 'mu' : 1e0},), } fields = { 'displacement': ('real', 'vector', 'Omega', 1), } integrals = { 'i' : 1, } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), 'Displaced' : ('Right', {'u.0' : 0.01, 'u.[1,2]' : 0.0}), 'PerturbedSurface' : ('SomewhereTop', {'u.2' : 0.005}), } equations = { 'balance_of_forces' : """dw_lin_elastic_iso.i.Omega(solid.lam, solid.mu, v, u) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/linear_elasticity/linear_elastic_damping.py000066400000000000000000000035231247364230400270110ustar00rootroot00000000000000r""" Time-dependent linear elasticity with a simple damping. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} c\ \ul{v} \cdot \pdiff{\ul{u}}{t} + \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ from copy import deepcopy import numpy as nm from linear_elastic import \ filename_mesh, materials, regions, fields, ebcs, \ integrals, solvers def print_times(problem, state): print nm.array(problem.ts.times) options = { 'ts' : 'ts', 'save_steps' : -1, 'post_process_hook_final' : print_times, } variables = { 'u' : ('unknown field', 'displacement', 0, 1), 'v' : ('test field', 'displacement', 'u'), } # Put density to 'solid'. materials = deepcopy(materials) materials['solid'][0].update({'c' : 1000.0}) # Moving the PerturbedSurface region. ebcs = deepcopy(ebcs) ebcs['PerturbedSurface'][1].update({'u.0' : 'ebc_sin'}) def ebc_sin(ts, coors, **kwargs): val = 0.01 * nm.sin(2.0*nm.pi*ts.nt) return nm.tile(val, (coors.shape[0],)) equations = { 'balance_of_forces in time' : """dw_volume_dot.i.Omega( solid.c, v, du/dt ) + dw_lin_elastic_iso.i.Omega( solid.lam, solid.mu, v, u ) = 0""", } solvers = deepcopy(solvers) # Do not spoil linear_elastic.py namespace in tests. solvers.update({ 'ts' : ('ts.adaptive', { 't0' : 0.0, 't1' : 1.0, 'dt' : None, 'n_step' : 101, 'adapt_fun' : 'adapt_time_step', }), }) def adapt_time_step(ts, status, adt, problem): if ts.time > 0.5: ts.set_time_step(0.1) return True ls = solvers['ls'] ls[1].update({'presolve' : True}) functions = { 'ebc_sin' : (ebc_sin,), 'adapt_time_step' : (adapt_time_step,), } sfepy-release_2015.1/examples/linear_elasticity/linear_elastic_iga.py000066400000000000000000000035651247364230400261400ustar00rootroot00000000000000r""" Linear elasticity solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. The domain geometry was created by:: $ ./script/gen_iga_patch.py -d [1,0.5,0.1] -s [11,5,3] --degrees [2,2,2] -o meshes/iga/block3d.iga View the results using:: $ ./postproc.py block3d.vtk --wireframe -b $ ./postproc.py block3d.vtk --wireframe -b -d 'u,plot_displacements,rel_scaling=1e0' """ from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy import data_dir filename_domain = data_dir + '/meshes/iga/block3d.iga' regions = { 'Omega' : 'all', 'Gamma1' : ('vertices of set xi00', 'facet'), 'Gamma2' : ('vertices of set xi01', 'facet'), } materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=5.769, mu=3.846), },), } fields = { 'displacement': ('real', 'vector', 'Omega', None, 'H1', 'iga'), } integrals = { 'i' : 3, } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } ebcs = { 'u1' : ('Gamma1', {'u.all' : 0.0}), 'u2' : ('Gamma2', {'u.0' : 0.1, 'u.[1,2]' : 'get_ebcs'}), } def get_ebcs(ts, coors, **kwargs): import numpy as nm aux = nm.empty_like(coors[:, 1:]) aux[:, 0] = 0.1 * coors[:, 1] aux[:, 1] = -0.05 + 0.03 * nm.sin(coors[:, 1] * 5 * nm.pi) return aux.T.flat functions = { 'get_ebcs' : (get_ebcs,), } equations = { 'balance_of_forces' : """dw_lin_elastic.i.Omega(solid.D, v, u) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/linear_elasticity/linear_elastic_probes.py000066400000000000000000000123201247364230400266570ustar00rootroot00000000000000""" This example shows how to use the post_process_hook to probe the output data. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ # Just grab the problem definition of linear_elastic.py. from copy import deepcopy from linear_elastic import * import matplotlib.pyplot as plt import matplotlib.font_manager as fm import os import numpy as nm from sfepy.base.base import Struct from sfepy.postprocess.probes_vtk import Probe from sfepy.mechanics.matcoefs import stiffness_from_lame # Define options. options = { 'output_dir' : '.', 'post_process_hook' : 'post_process', } # Update materials, as ev_cauchy_stress below needs the elastic constants in # the tensor form. materials = deepcopy(materials) solid = materials['solid'][0] lam, mu = solid['lam'], solid['mu'] solid.update({ 'D' : stiffness_from_lame(3, lam=lam, mu=mu), }) # The function returning the probe parametrization. def par_fun(idx): return nm.log(idx + 1) / nm.log(20) * 0.04 # Define the function post_process, that will be called after the problem is # solved. def post_process(out, problem, state, extend=False): """ This will be called after the problem is solved. Parameters ---------- out : dict The output dictionary, where this function will store additional data. problem : Problem instance The current Problem instance. state : State instance The computed state, containing FE coefficients of all the unknown variables. extend : bool The flag indicating whether to extend the output data to the whole domain. It can be ignored if the problem is solved on the whole domain already. Returns ------- out : dict The updated output dictionary. """ # Cauchy strain averaged in elements. strain = problem.evaluate('ev_cauchy_strain.i.Omega( u )', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) # Cauchy stress averaged in elements. stress = problem.evaluate('ev_cauchy_stress.i.Omega( solid.D, u )', mode='el_avg') out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=stress, dofs=None) # Define three line probes in axial directions. mesh = problem.domain.mesh bbox = mesh.get_bounding_box() cx, cy, cz = 0.5 * bbox.sum(axis=0) labels = [] probe_names = [] probe = Probe(out, mesh) # line probe labels.append('line probe - x direction') probe_names.append('line') probe.add_line_probe('line', [bbox[0,0], cy, cz], [bbox[1,0], cy, cz], 30) # circle probe labels.append('circle probe') probe_names.append('circle') probe.add_circle_probe('circle', [cx, cy, cz], [0, 0, 1], 0.015, 30) # ray probe labels.append('ray probe - y direction') probe_names.append('ray') probe.add_ray_probe('ray', [cx, bbox[0,1], cz], [0, 1, 0], par_fun, 20) # Gnerate matplotlib figures with the probe plot. for probe_name, label in zip(probe_names, labels): fig = plt.figure() plt.clf() fig.subplots_adjust(hspace=0.4) plt.subplot(311) pars, vals = probe(probe_name, 'u') for ic in range(vals.shape[1]): plt.plot(pars, vals[:,ic], label=r'$u_{%d}$' % (ic + 1), lw=1, ls='-', marker='+', ms=3) plt.ylabel('displacements') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=10)) sym_indices = [0, 4, 8, 1, 2, 5] sym_labels = ['11', '22', '33', '12', '13', '23'] plt.subplot(312) pars, vals = probe(probe_name, 'cauchy_strain') for ii, ic in enumerate(sym_indices): plt.plot(pars, vals[:,ic], label=r'$e_{%s}$' % sym_labels[ii], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy strain') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) plt.subplot(313) pars, vals = probe(probe_name, 'cauchy_stress') for ii, ic in enumerate(sym_indices): plt.plot(pars, vals[:,ic], label=r'$\tau_{%s}$' % sym_labels[ii], lw=1, ls='-', marker='+', ms=3) plt.ylabel('Cauchy stress') plt.xlabel('probe %s' % label, fontsize=8) plt.legend(loc='best', prop=fm.FontProperties(size=8)) opts = problem.conf.options filename_results = os.path.join(opts.get('output_dir'), 'cylinder_probe_%s.png' % probe_name) fig.savefig(filename_results) return out sfepy-release_2015.1/examples/linear_elasticity/linear_elastic_tractions.py000066400000000000000000000047761247364230400274130ustar00rootroot00000000000000r""" Linear elasticity with pressure traction load on a surface and constrained to one-dimensional motion. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = - \int_{\Gamma_{right}} \ul{v} \cdot \ull{\sigma} \cdot \ul{n} \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. and :math:`\ull{\sigma} \cdot \ul{n} = \bar{p} \ull{I} \cdot \ul{n}` with given traction pressure :math:`\bar{p}`. """ import numpy as nm def linear_tension(ts, coor, mode=None, **kwargs): if mode == 'qp': val = nm.tile(1.0, (coor.shape[0], 1, 1)) return {'val' : val} def define(): """Define the problem to solve.""" from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/block.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', } functions = { 'linear_tension' : (linear_tension,), } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid' : ({ 'lam' : 5.769, 'mu' : 3.846, },), 'load' : (None, 'linear_tension') } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), 'Right' : ('vertices in (x > 4.99)', 'facet'), } ebcs = { 'fixb' : ('Left', {'u.all' : 0.0}), 'fixt' : ('Right', {'u.[1,2]' : 0.0}), } ## # Balance of forces. equations = { 'elasticity' : """dw_lin_elastic_iso.2.Omega( solid.lam, solid.mu, v, u ) = - dw_surface_ltr.2.Right( load.val, v )""", } ## # Solvers etc. solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, # Linear system error < (eps_a * lin_red). 'lin_red' : 1e-2, 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, }) } return locals() sfepy-release_2015.1/examples/linear_elasticity/linear_elastic_up.py000066400000000000000000000064341247364230400260220ustar00rootroot00000000000000r""" Nearly incompressible linear elasticity in mixed displacement-pressure formulation with comments. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, - \int_{\Omega} q\ \nabla \cdot \ul{u} - \int_{\Omega} \gamma q p = 0 \;, \quad \forall q \;. """ #! #! Linear Elasticity #! ================= #$ \centerline{Example input file, \today} #! This file models a cylinder that is fixed at one end while the #! second end has a specified displacement of 0.02 in the x direction #! (this boundary condition is named PerturbedSurface). #! The output is the displacement for each node, saved by default to #! simple_out.vtk. The material is linear elastic. from sfepy import data_dir from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson_mixed, bulk_from_youngpoisson #! Mesh #! ---- dim = 3 approx_u = '3_4_P1' approx_p = '3_4_P0' order = 2 filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' #! Regions #! ------- #! Whole domain 'Omega', left and right ends. regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } #! Materials #! --------- #! The linear elastic material model is used. materials = { 'solid' : ({'D' : stiffness_from_youngpoisson_mixed(dim, 0.7e9, 0.4), 'gamma' : 1.0/bulk_from_youngpoisson(0.7e9, 0.4)},), } #! Fields #! ------ #! A field is used to define the approximation on a (sub)domain fields = { 'displacement': ('real', 'vector', 'Omega', 1), 'pressure' : ('real', 'scalar', 'Omega', 0), } #! Integrals #! --------- #! Define the integral type Volume/Surface and quadrature rule. integrals = { 'i' : order, } #! Variables #! --------- #! Define displacement and pressure fields and corresponding fields #! for test variables. variables = { 'u' : ('unknown field', 'displacement'), 'v' : ('test field', 'displacement', 'u'), 'p' : ('unknown field', 'pressure'), 'q' : ('test field', 'pressure', 'p'), } #! Boundary Conditions #! ------------------- #! The left end of the cylinder is fixed (all DOFs are zero) and #! the 'right' end has non-zero displacements only in the x direction. ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), 'PerturbedSurface' : ('Right', {'u.0' : 0.02, 'u.1' : 0.0}), } #! Equations #! --------- #! The weak formulation of the linear elastic problem. equations = { 'balance_of_forces' : """ dw_lin_elastic.i.Omega( solid.D, v, u ) - dw_stokes.i.Omega( v, p ) = 0 """, 'pressure constraint' : """- dw_stokes.i.Omega( u, q ) - dw_volume_dot.i.Omega( solid.gamma, q, p ) = 0""", } #! Solvers #! ------- #! Define linear and nonlinear solver. #! Even linear problems are solved by a nonlinear solver - only one #! iteration is needed and the final rezidual is obtained for free. solvers = { 'ls' : ('ls.schur_complement', { 'keep': ['p'], 'eliminate': ['u'], }), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-2, 'eps_r' : 1e-10, }), } #! Options #! ------- #! Various problem-specific options. options = { 'output_dir' : './output', 'absolute_mesh_path' : True, } sfepy-release_2015.1/examples/linear_elasticity/linear_viscoelastic.py000066400000000000000000000227131247364230400263600ustar00rootroot00000000000000r""" Linear viscoelasticity with pressure traction load on a surface and constrained to one-dimensional motion. The fading memory terms require an unloaded initial configuration, so the load starts in the second time step. The load is then held for the first half of the total time interval, and released afterwards. This example uses exponential fading memory kernel :math:`\Hcal_{ijkl}(t) = \Hcal_{ijkl}(0) e^{-d t}` with decay :math:`d`. Two equation kinds are supported - 'th' and 'eth'. In 'th' mode the tabulated kernel is linearly interpolated to required times using :func:`interp_conv_mat()`. In 'eth' mode, the computation is exact for exponential kernels. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) \\ + \int_{\Omega} \left [\int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\pdiff{\ul{u}}{\tau}(\tau)) \difd{\tau} \right]\,e_{ij}(\ul{v}) \\ = - \int_{\Gamma_{right}} \ul{v} \cdot \ull{\sigma} \cdot \ul{n} \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;, :math:`\Hcal_{ijkl}(0)` has the same structure as :math:`D_{ijkl}` and :math:`\ull{\sigma} \cdot \ul{n} = \bar{p} \ull{I} \cdot \ul{n}` with given traction pressure :math:`\bar{p}`. Notes ----- Because this example is run also as a test, it uses by default very few time steps. Try changing that. Visualization ------------- The output file is assumed to be 'block.h5' in the working directory. Change it appropriately for your situation. Deforming mesh ^^^^^^^^^^^^^^ Try to play with the following:: $ ./postproc.py block.h5 -b --only-names=u -d 'u,plot_displacements,rel_scaling=1e0,opacity=1.0,color_name="viscous_stress",color_kind="tensors"' --wireframe Use:: $ ./postproc.py -l block.h5 to see names and kinds of variables. Time history plots ^^^^^^^^^^^^^^^^^^ Run the following:: $ python examples/linear_elasticity/linear_viscoelastic.py -h $ python examples/linear_elasticity/linear_viscoelastic.py block.h5 Try comparing 'th' and 'eth' versions, e.g., for n_step = 201, and f_n_step = 51. There is a visible notch on viscous stress curves in the 'th' mode, as the fading memory kernel is cut off before it goes close enough to zero. """ import numpy as nm from sfepy.base.base import output from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy.homogenization.utils import interp_conv_mat from sfepy import data_dir def linear_tension(ts, coors, mode=None, verbose=True, **kwargs): if mode == 'qp': val = 1.0 * ((ts.step > 0) and (ts.nt <= 0.5)) if verbose: output('load:', val) val = nm.tile(val, (coors.shape[0], 1, 1)) return {'val' : val} def get_exp_fading_kernel(coef0, decay, times): val = coef0[None, ...] * nm.exp(-decay * times[:, None, None]) return val def get_th_pars(ts, coors, mode=None, times=None, kernel=None, **kwargs): out = {} if mode == 'special': out['H'] = interp_conv_mat(kernel, ts, times) elif mode == 'qp': out['H0'] = kernel[0] out['Hd'] = kernel[1, 0, 0] / kernel[0, 0, 0] for key, val in out.iteritems(): out[key] = nm.tile(val, (coors.shape[0], 1, 1)) return out filename_mesh = data_dir + '/meshes/3d/block.mesh' ## Configure below. ## # Time stepping times. t0 = 0.0 t1 = 20.0 n_step = 21 # Fading memory times. f_t0 = 0.0 f_t1 = 5.0 f_n_step = 6 decay = 0.8 mode = 'eth' ## Configure above. ## times = nm.linspace(f_t0, f_t1, f_n_step) kernel = get_exp_fading_kernel(stiffness_from_lame(3, lam=1.0, mu=1.0), decay, times) dt = (t1 - t0) / (n_step - 1) fading_memory_length = min(int((f_t1 - f_t0) / dt) + 1, n_step) output('fading memory length:', fading_memory_length) def post_process(out, pb, state, extend=False): """ Calculate and output strain and stress for given displacements. """ from sfepy.base.base import Struct ev = pb.evaluate strain = ev('ev_cauchy_strain.2.Omega(u)', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) estress = ev('ev_cauchy_stress.2.Omega(solid.D, u)', mode='el_avg') out['cauchy_stress'] = Struct(name='output_data', mode='cell', data=estress, dofs=None) ts = pb.get_timestepper() if mode == 'th': vstress = ev('ev_cauchy_stress_th.2.Omega(ts, th.H, du/dt)', ts=ts, mode='el_avg') out['viscous_stress'] = Struct(name='output_data', mode='cell', data=vstress, dofs=None) else: # The eth terms require 'preserve_caches=True' in order to have correct # fading memory history. vstress = ev('ev_cauchy_stress_eth.2.Omega(ts, th.H0, th.Hd, du/dt)', ts=ts, mode='el_avg', preserve_caches=True) out['viscous_stress'] = Struct(name='output_data', mode='cell', data=vstress, dofs=None) out['total_stress'] = Struct(name='output_data', mode='cell', data=estress + vstress, dofs=None) return out options = { 'ts' : 'ts', 'nls' : 'newton', 'ls' : 'ls', 'output_format' : 'h5', 'post_process_hook' : 'post_process', } functions = { 'linear_tension' : (linear_tension,), 'get_pars' : (lambda ts, coors, mode=None, **kwargs: get_th_pars(ts, coors, mode, times=times, kernel=kernel, **kwargs),), } fields = { 'displacement': ('real', 3, 'Omega', 1), } materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=5.769, mu=3.846), },), 'th' : 'get_pars', 'load' : 'linear_tension', } variables = { 'u' : ('unknown field', 'displacement', 0, fading_memory_length), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), 'Right' : ('vertices in (x > 4.99)', 'facet'), } ebcs = { 'fixb' : ('Left', {'u.all' : 0.0}), 'fixt' : ('Right', {'u.[1,2]' : 0.0}), } if mode == 'th': # General form with tabulated kernel. equations = { 'elasticity' : """dw_lin_elastic.2.Omega( solid.D, v, u ) + dw_lin_elastic_th.2.Omega( ts, th.H, v, du/dt ) = - dw_surface_ltr.2.Right( load.val, v )""", } else: # Fast form that is exact for exponential kernels. equations = { 'elasticity' : """dw_lin_elastic.2.Omega( solid.D, v, u ) + dw_lin_elastic_eth.2.Omega( ts, th.H0, th.Hd, v, du/dt ) = - dw_surface_ltr.2.Right( load.val, v )""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), 'ts' : ('ts.simple', { 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, 'quasistatic' : True, }), } def main(): """ Plot the load, displacement, strain and stresses w.r.t. time. """ from optparse import OptionParser import matplotlib.pyplot as plt import sfepy.postprocess.time_history as th usage = """%prog """ msgs = {'node' : 'plot displacements in given node [default: %default]', 'element' : 'plot tensors in given element [default: %default]',} parser = OptionParser(usage=usage) parser.add_option('-n', '--node', type=int, metavar='ii', action='store', dest='node', default=512, help=msgs['node']) parser.add_option('-e', '--element', type=int, metavar='ii', action='store', dest='element', default=299, help=msgs['element']) options, args = parser.parse_args() if len(args) == 1: filename = args[0] else: parser.print_help() return tensor_names = ['cauchy_strain', 'cauchy_stress', 'viscous_stress', 'total_stress'] extract = ('u n %d, ' % options.node) \ + ', '.join('%s e %d' % (name, options.element) for name in tensor_names) ths, ts = th.extract_time_history(filename, extract) load = [linear_tension(ts, nm.array([0]), mode='qp', verbose=False)['val'].squeeze() for ii in ts] load = nm.array(load) normalized_kernel = kernel[:, 0, 0] / kernel[0, 0, 0] plt.figure(1, figsize=(8, 10)) plt.subplots_adjust(hspace=0.3, top=0.95, bottom=0.05, left=0.07, right=0.95) plt.subplot(311) plt.plot(times, normalized_kernel, lw=3) plt.title('fading memory decay') plt.xlabel('time') plt.subplot(312) plt.plot(ts.times, load, lw=3) plt.title('load') plt.xlabel('time') displacements = ths['u'][options.node] plt.subplot(313) plt.plot(ts.times, displacements, lw=3) plt.title('displacement components, node %d' % options.node) plt.xlabel('time') plt.figure(2, figsize=(8, 10)) plt.subplots_adjust(hspace=0.35, top=0.95, bottom=0.05, left=0.07, right=0.95) for ii, tensor_name in enumerate(tensor_names): tensor = ths[tensor_name][options.element] plt.subplot(411 + ii) plt.plot(ts.times, tensor, lw=3) plt.title('%s components, element %d' % (tensor_name, options.element)) plt.xlabel('time') plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/examples/linear_elasticity/material_nonlinearity.py000066400000000000000000000062221247364230400267240ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Example demonstrating how a linear elastic term can be used to solve an elasticity problem with a material nonlinearity. .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ import numpy as nm from sfepy.linalg import norm_l2_along_axis from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' def post_process(out, pb, state, extend=False): from sfepy.base.base import Struct mu = pb.evaluate('ev_integrate_mat.2.Omega(nonlinear.mu, u)', mode='el_avg', copy_materials=False, verbose=False) out['mu'] = Struct(name='mu', mode='cell', data=mu, dofs=None) strain = pb.evaluate('ev_cauchy_strain.2.Omega(u)', mode='el_avg') out['strain'] = Struct(name='strain', mode='cell', data=strain, dofs=None) return out strains = [None] def get_pars(ts, coors, mode='qp', equations=None, term=None, problem=None, **kwargs): """ The material nonlinearity function - the Lamé coefficient `mu` depends on the strain. """ if mode != 'qp': return val = nm.empty((coors.shape[0], 1, 1), dtype=nm.float64) val.fill(1e0) order = term.integral.order uvar = equations.variables['u'] strain = problem.evaluate('ev_cauchy_strain.%d.Omega(u)' % order, u=uvar, mode='qp') if ts.step > 0: strain0 = strains[-1] else: strain0 = strain dstrain = (strain - strain0) / ts.dt dstrain.shape = (strain.shape[0] * strain.shape[1], strain.shape[2]) norm = norm_l2_along_axis(dstrain) val += norm[:, None, None] # Store history. strains[0] = strain return {'mu' : val} def pull(ts, coors, **kwargs): val = nm.empty_like(coors[:,0]) val.fill(0.01 * ts.step) return val functions = { 'get_pars' : (get_pars,), 'pull' : (pull,), } options = { 'ts' : 'ts', 'output_format' : 'h5', 'save_steps' : -1, 'post_process_hook' : 'post_process', } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < 0.001)', 'facet'), 'Right' : ('vertices in (x > 0.099)', 'facet'), } materials = { 'linear' : ({'lam' : 1e1},), 'nonlinear' : 'get_pars', } fields = { 'displacement': ('real', 'vector', 'Omega', 1), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), 'Displaced' : ('Right', {'u.0' : 'pull', 'u.[1,2]' : 0.0}), } equations = { 'balance_of_forces in time' : """dw_lin_elastic_iso.2.Omega(linear.lam, nonlinear.mu, v, u) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, }), 'ts' : ('ts.simple', {'t0' : 0.0, 't1' : 1.0, 'dt' : None, 'n_step' : 5, 'quasistatic' : True, }), } sfepy-release_2015.1/examples/linear_elasticity/prestress_fibres.py000066400000000000000000000041731247364230400257220ustar00rootroot00000000000000r""" Linear elasticity with a given prestress in one subdomain and a (pre)strain fibre reinforcement in the other. Find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) + \int_{\Omega_1} \sigma_{ij} e_{ij}(\ul{v}) + \int_{\Omega_2} D^f_{ijkl} e_{ij}(\ul{v}) \left(d_k d_l\right) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. The stiffness of fibres :math:`D^f_{ijkl}` is defined analogously, :math:`\ul{d}` is the unit fibre direction vector and :math:`\sigma_{ij}` is the prestress. Visualization ------------- Use the following to see the deformed structure with 10x magnified displacements:: $ ./postproc.py block.vtk -b --vector-mode=warp_norm -s 1 --wireframe """ import numpy as nm from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/block.mesh' regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), 'Omega1' : 'vertices in (x < 0.001)', 'Omega2' : 'vertices in (x > -0.001)', } materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=1e2, mu=1e1), 'prestress' : 0.1 * nm.array([[1.0], [1.0], [1.0], [0.5], [0.5], [0.5]], dtype=nm.float64), 'DF' : stiffness_from_lame(3, lam=8e0, mu=8e-1), 'nu' : nm.array([[-0.5], [0.0], [0.5]], dtype=nm.float64), },), } fields = { 'displacement': ('real', 'vector', 'Omega', 1), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } ebcs = { 'Fixed' : ('Left', {'u.all' : 0.0}), } equations = { 'balance_of_forces' : """dw_lin_elastic.2.Omega( solid.D, v, u ) + dw_lin_prestress.2.Omega1( solid.prestress, v ) + dw_lin_strain_fib.2.Omega2( solid.DF, solid.nu, v ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/miscellaneous/000077500000000000000000000000001247364230400211165ustar00rootroot00000000000000sfepy-release_2015.1/examples/miscellaneous/__init__.py000066400000000000000000000000001247364230400232150ustar00rootroot00000000000000sfepy-release_2015.1/examples/miscellaneous/compare_scalar_terms.py000066400000000000000000000057741247364230400256720ustar00rootroot00000000000000r""" Example without a physical relevance comparing new and old-style terms with scalar variables. Find :math:`p` (new style terms), :math:`r` (old_style terms) such that: .. math:: \int_{\Omega} c \delta_{ij} \nabla_i q \nabla_j p + \int_{\Omega} q p = 0 \;, \quad \forall q \;, \int_{\Omega} c \delta_{ij} \nabla_i s \nabla_j r + \int_{\Omega} s r = 0 \;, \quad \forall s \;. The same values of :math:`p`, :math:`r` should be obtained. """ import os import numpy as nm from sfepy import data_dir from sfepy.discrete.fem import MeshIO filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' #filename_mesh = data_dir + '/meshes/3d/cube_big_tetra.mesh' conf_dir = os.path.dirname(__file__) io = MeshIO.any_from_filename(filename_mesh, prefix_dir=conf_dir) bbox = io.read_bounding_box() dd = bbox[1] - bbox[0] xmin, ymin, zmin = bbox[0, :] + 1e-4 * dd xmax, ymax, zmax = bbox[1, :] - 1e-4 * dd def post_process(out, pb, state, extend=False): for vn in ['p', 'r']: try: dd = pb.evaluate('dw_new_diffusion.2.Omega(m.c, %s, %s)' % (vn, vn), verbose=False) print 'dw_new_diffusion', vn, dd dd = pb.evaluate('dw_diffusion.2.Omega(m.c, %s, %s)' % (vn, vn), verbose=False) print 'dw_diffusion', vn, dd mass = pb.evaluate('dw_new_mass.2.Omega(%s, %s)' % (vn, vn), verbose=False) print 'dw_new_mass', vn, mass mass = pb.evaluate('dw_new_mass_scalar.2.Omega(%s, %s)' % (vn, vn), verbose=False) print 'dw_new_mass_scalar', vn, mass mass = pb.evaluate('dw_volume_dot.2.Omega(%s, %s)' % (vn, vn), verbose=False) print 'dw_volume_dot', vn, mass except: pass return out options = { 'nls' : 'newton', 'ls' : 'ls', 'post_process_hook' : 'post_process', } materials = { 'm' : ({'c' : 0.0001 * nm.eye(3)},), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < %f)' % xmin, 'facet'), 'Gamma_Right' : ('vertices in (x > %f)' % xmax, 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 2), } variables = { 'p' : ('unknown field', 'temperature', 0), 'q' : ('test field', 'temperature', 'p'), 'r' : ('unknown field', 'temperature', 1), 's' : ('test field', 'temperature', 'r'), } ebcs = { 'p1' : ('Gamma_Left', {'p.0' : 2.0}), 'p2' : ('Gamma_Right', {'p.0' : -2.0}), 'r1' : ('Gamma_Left', {'r.0' : 2.0}), 'r2' : ('Gamma_Right', {'r.0' : -2.0}), } equations = { 'new equation' : """dw_new_diffusion.2.Omega(m.c, q, p) + dw_new_mass.2.Omega(q, p) = 0""", 'equation' : """dw_diffusion.2.Omega(m.c, s, r) + dw_volume_dot.2.Omega(s, r) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/miscellaneous/compare_vector_terms.py000066400000000000000000000057741247364230400257270ustar00rootroot00000000000000r""" Example without a physical relevance comparing new and old-style terms with vector variables. Find :math:`\ul{u}` (new style terms), :math:`\ul{r}` (old_style terms) such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) \int_{\Omega}\ul{v} \cdot \ul{u} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{s}) e_{kl}(\ul{r}) \int_{\Omega}\ul{s} \cdot \ul{r} = 0 \;, \quad \forall \ul{s} \;. The same values of :math:`\ul{u}`, :math:`\ul{r}` should be obtained. """ import os from sfepy import data_dir from sfepy.discrete.fem import MeshIO from sfepy.mechanics.matcoefs import stiffness_from_lame filename_mesh = data_dir + '/meshes/3d/cylinder.mesh' #filename_mesh = data_dir + '/meshes/3d/cube_medium_hexa.mesh' conf_dir = os.path.dirname(__file__) io = MeshIO.any_from_filename(filename_mesh, prefix_dir=conf_dir) bbox = io.read_bounding_box() dd = bbox[1] - bbox[0] xmin, ymin, zmin = bbox[0, :] + 1e-4 * dd xmax, ymax, zmax = bbox[1, :] - 1e-4 * dd def post_process(out, pb, state, extend=False): for vn in ['u', 'r']: try: val = pb.evaluate('dw_new_mass.2.Omega(%s, %s)' % (vn, vn), verbose=False) print 'dw_new_mass', vn, val val = pb.evaluate('dw_new_lin_elastic.2.Omega(m.D, %s, %s)' % (vn, vn), verbose=False) print 'dw_new_lin_elastic', vn, val val = pb.evaluate('dw_lin_elastic.2.Omega(m.D, %s, %s)' % (vn, vn), verbose=False) print 'dw_lin_elastic', vn, val except: pass return out options = { 'nls' : 'newton', 'ls' : 'ls', 'post_process_hook' : 'post_process', } materials = { 'm' : ({'D' : stiffness_from_lame(3, lam=0.0007, mu=0.0003), 'one' : 1.0},), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < %f)' % xmin, 'facet'), 'Gamma_Right' : ('vertices in (x > %f)' % xmax, 'facet'), } fields = { 'displacements' : ('real', 'vector', 'Omega', 1), } variables = { 'u' : ('unknown field', 'displacements', 0), 'v' : ('test field', 'displacements', 'u'), 'r' : ('unknown field', 'displacements', 1), 's' : ('test field', 'displacements', 'r'), } ebcs = { 'u1' : ('Gamma_Left', {'u.all' : 0.0}), 'u2' : ('Gamma_Right', {'u.0' : 0.1 * (xmax - xmin), 'u.1' : 0.1 * (ymax - ymin)}), 'r1' : ('Gamma_Left', {'r.all' : 0.0}), 'r2' : ('Gamma_Right', {'r.0' : 0.1 * (xmax - xmin), 'r.1' : 0.1 * (ymax - ymin)}), } equations = { 'new equation' : """dw_new_lin_elastic.2.Omega(m.D, v, u) + dw_new_mass.2.Omega(v, u) = 0""", 'equation' : """dw_lin_elastic.2.Omega(m.D, s, r) + dw_volume_dot.2.Omega(m.one, s, r) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/navier_stokes/000077500000000000000000000000001247364230400211275ustar00rootroot00000000000000sfepy-release_2015.1/examples/navier_stokes/__init__.py000066400000000000000000000000001247364230400232260ustar00rootroot00000000000000sfepy-release_2015.1/examples/navier_stokes/navier_stokes.py000066400000000000000000000105311247364230400243550ustar00rootroot00000000000000r""" Navier-Stokes equations for incompressible fluid flow. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} + \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{u}) \cdot \ul{v} - \int_{\Omega} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/elbow2.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', 'post_process_hook' : 'verify_incompressibility', # Options for saving higher-order variables. # Possible kinds: # 'strip' ... just remove extra DOFs (ignores other linearization # options) # 'adaptive' ... adaptively refine linear element mesh. 'linearization' : { 'kind' : 'strip', 'min_level' : 1, # Min. refinement level to achieve everywhere. 'max_level' : 2, # Max. refinement level. 'eps' : 1e-1, # Relative error tolerance. }, } field_1 = { 'name' : '3_velocity', 'dtype' : 'real', 'shape' : (3,), 'region' : 'Omega', 'approx_order' : '1B', } field_2 = { 'name' : 'pressure', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } # Can use logical operations '&' (and), '|' (or). region_1000 = { 'name' : 'Omega', 'select' : 'cells of group 6', } region_0 = { 'name' : 'Walls', 'select' : 'vertices of surface -v (r.Outlet +v r.Inlet)', 'kind' : 'facet', } region_1 = { 'name' : 'Inlet', 'select' : 'vertices by cinc0', # In 'kind' : 'facet', } region_2 = { 'name' : 'Outlet', 'select' : 'vertices by cinc1', # Out 'kind' : 'facet', } ebc_1 = { 'name' : 'Walls', 'region' : 'Walls', 'dofs' : {'u.all' : 0.0}, } ebc_2 = { 'name' : 'Inlet', 'region' : 'Inlet', 'dofs' : {'u.1' : 1.0, 'u.[0,2]' : 0.0}, } material_1 = { 'name' : 'fluid', 'values' : { 'viscosity' : 1.25e-3, 'density' : 1e0, }, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '3_velocity', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '3_velocity', 'dual' : 'u', } variable_3 = { 'name' : 'p', 'kind' : 'unknown field', 'field' : 'pressure', 'order' : 1, } variable_4 = { 'name' : 'q', 'kind' : 'test field', 'field' : 'pressure', 'dual' : 'p', } variable_5 = { 'name' : 'pp', 'kind' : 'parameter field', 'field' : 'pressure', 'like' : 'p', } integral_1 = { 'name' : 'i1', 'order' : 2, } integral_2 = { 'name' : 'i2', 'order' : 3, } ## # Stationary Navier-Stokes equations. equations = { 'balance' : """+ dw_div_grad.i2.Omega( fluid.viscosity, v, u ) + dw_convect.i2.Omega( v, u ) - dw_stokes.i1.Omega( v, p ) = 0""", 'incompressibility' : """dw_stokes.i1.Omega( u, q ) = 0""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 5, 'eps_a' : 1e-8, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 0.99999, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } def verify_incompressibility( out, problem, state, extend = False ): """This hook is normally used for post-processing (additional results can be inserted into `out` dictionary), but here we just verify the weak incompressibility condition.""" from sfepy.base.base import nm, output, assert_ vv = problem.get_variables() one = nm.ones( (vv['p'].field.n_nod,), dtype = nm.float64 ) vv['p'].set_data(one) zero = problem.evaluate('dw_stokes.i1.Omega( u, p )', p=one, u=vv['u']()) output('div( u ) = %.3e' % zero) assert_(abs(zero) < 1e-14) return out ## # Functions. import os.path as op import sys sys.path.append(data_dir) # Make installed example work. import examples.navier_stokes.utils as utils cinc_name = 'cinc_' + op.splitext(op.basename(filename_mesh))[0] cinc = getattr(utils, cinc_name) functions = { 'cinc0' : (lambda coors, domain=None: cinc(coors, 0),), 'cinc1' : (lambda coors, domain=None: cinc(coors, 1),), } sfepy-release_2015.1/examples/navier_stokes/navier_stokes2d.py000066400000000000000000000044131247364230400246050ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Navier-Stokes equations for incompressible fluid flow in 2D. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} + \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{u}) \cdot \ul{v} - \int_{\Omega} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;. The mesh is created by ``gen_block_mesh()`` function. View the results using:: $ ./postproc.py user_block.vtk -b """ from sfepy.discrete.fem.meshio import UserMeshIO from sfepy.mesh.mesh_generators import gen_block_mesh # Mesh dimensions. dims = [0.1, 0.1] # Mesh resolution: increase to improve accuracy. shape = [51, 51] def mesh_hook(mesh, mode): """ Generate the block mesh. """ if mode == 'read': mesh = gen_block_mesh(dims, shape, [0, 0], name='user_block', verbose=False) return mesh elif mode == 'write': pass filename_mesh = UserMeshIO(mesh_hook) regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -0.0499)', 'facet'), 'Right' : ('vertices in (x > 0.0499)', 'facet'), 'Bottom' : ('vertices in (y < -0.0499)', 'facet'), 'Top' : ('vertices in (y > 0.0499)', 'facet'), 'Walls' : ('r.Left +v r.Right +v r.Bottom', 'facet'), } materials = { 'fluid' : ({'viscosity' : 1.00e-2},), } fields = { 'velocity': ('real', 'vector', 'Omega', 2), 'pressure': ('real', 'scalar', 'Omega', 1), } variables = { 'u' : ('unknown field', 'velocity', 0), 'v' : ('test field', 'velocity', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } ebcs = { '1_Walls' : ('Walls', {'u.all' : 0.0}), '0_Driven' : ('Top', {'u.0' : 1.0, 'u.1' : 0.0}), 'Pressure' : ('Bottom', {'p.0' : 0.0}), } integrals = { 'i' : 4, } equations = { 'balance' : """+ dw_div_grad.i.Omega(fluid.viscosity, v, u) + dw_convect.i.Omega(v, u) - dw_stokes.i.Omega(v, p) = 0""", 'incompressibility' : """dw_stokes.i.Omega(u, q) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 15, 'eps_a' : 1e-10, 'eps_r' : 1.0, }), } sfepy-release_2015.1/examples/navier_stokes/navier_stokes2d_iga.py000066400000000000000000000037731247364230400254350ustar00rootroot00000000000000# -*- coding: utf-8 -*- r""" Navier-Stokes equations for incompressible fluid flow in 2D solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} + \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{u}) \cdot \ul{v} - \int_{\Omega} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;. The domain geometry was created by:: $ ./script/gen_iga_patch.py -2 -d 0.1,0.1 -s 10,10 -o meshes/iga/block2d.iga View the results using:: $ ./postproc.py block2d.vtk -b """ from sfepy import data_dir filename_domain = data_dir + '/meshes/iga/block2d.iga' regions = { 'Omega' : 'all', 'Left' : ('vertices of set xi00', 'facet'), 'Right' : ('vertices of set xi01', 'facet'), 'Bottom' : ('vertices of set xi10', 'facet'), 'Top' : ('vertices of set xi11', 'facet'), 'Walls' : ('r.Left +v r.Right +v r.Bottom', 'facet'), } materials = { 'fluid' : ({'viscosity' : 1.00e-2},), } fields = { 'velocity': ('real', 'vector', 'Omega', 'iga+1', 'H1', 'iga'), 'pressure': ('real', 'scalar', 'Omega', 'iga', 'H1', 'iga'), } variables = { 'u' : ('unknown field', 'velocity', 0), 'v' : ('test field', 'velocity', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } ebcs = { '1_Walls' : ('Walls', {'u.all' : 0.0}), '0_Driven' : ('Top', {'u.0' : 1.0, 'u.1' : 0.0}), 'Pressure' : ('Bottom', {'p.0' : 0.0}), } integrals = { 'i' : 6, } equations = { 'balance' : """+ dw_div_grad.i.Omega(fluid.viscosity, v, u) + dw_convect.i.Omega(v, u) - dw_stokes.i.Omega(v, p) = 0""", 'incompressibility' : """dw_stokes.i.Omega(u, q) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 15, 'eps_a' : 1e-10, 'eps_r' : 1.0, }), } sfepy-release_2015.1/examples/navier_stokes/stabilized_navier_stokes.py000066400000000000000000000102451247364230400265710ustar00rootroot00000000000000r""" Stabilized Navier-Stokes problem with grad-div, SUPG and PSPG stabilization solved by a custom Oseen solver. The stabilization terms are described in [1]. [1] G. Matthies and G. Lube. On streamline-diffusion methods of inf-sup stable discretisations of the generalised Oseen problem. Number 2007-02 in Preprint Series of Institut fuer Numerische und Angewandte Mathematik, Georg-August-Universitaet Goettingen, 2007. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \begin{array}{l} \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} \int_{\Omega} ((\ul{b} \cdot \nabla) \ul{u}) \cdot \ul{v} - \int_{\Omega} p\ \nabla \cdot \ul{v} \\ + \gamma \int_{\Omega} (\nabla\cdot\ul{u}) \cdot (\nabla\cdot\ul{v}) \\ + \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ ((\ul{b} \cdot \nabla) \ul{u})\cdot ((\ul{b} \cdot \nabla) \ul{v}) \\ + \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ \nabla p\cdot ((\ul{b} \cdot \nabla) \ul{v}) = 0 \;, \quad \forall \ul{v} \;, \end{array} \begin{array}{l} \int_{\Omega} q\ \nabla \cdot \ul{u} \\ + \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ ((\ul{b} \cdot \nabla) \ul{u}) \cdot \nabla q \\ + \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ \nabla p \cdot \nabla q = 0 \;, \quad \forall q \;. \end{array} """ from sfepy.solvers.oseen import StabilizationFunction from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/elbow2.mesh' options = { 'solution' : 'steady', 'nls' : 'oseen', 'ls' : 'ls', } regions = { 'Omega' : 'all', 'Walls' : ('vertices of surface -v (r.Outlet +v r.Inlet)', 'facet'), 'Inlet' : ('vertices by cinc0', 'facet'), 'Outlet' : ('vertices by cinc1', 'facet'), } fields = { 'velocity' : ('real', 3, 'Omega', 1), 'pressure' : ('real', 1, 'Omega', 1), } variables = { 'u' : ('unknown field', 'velocity', 0), 'v' : ('test field', 'velocity', 'u'), 'b' : ('parameter field', 'velocity', 'u'), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } ebcs = { 'Walls_velocity' : ('Walls', {'u.all' : 0.0}), 'Inlet_velocity' : ('Inlet', {'u.1' : 1.0, 'u.[0,2]' : 0.0}), } materials = { 'fluid' : ({'viscosity' : 1.25e-5, 'density' : 1e0},), 'stabil' : 'stabil', } integrals = { 'i1' : 2, 'i2' : 3, } ## # Stationary Navier-Stokes equations with grad-div, SUPG and PSPG stabilization. equations = { 'balance' : """ dw_div_grad.i2.Omega( fluid.viscosity, v, u ) + dw_lin_convect.i2.Omega( v, b, u ) - dw_stokes.i1.Omega( v, p ) + dw_st_grad_div.i1.Omega( stabil.gamma, v, u ) + dw_st_supg_c.i1.Omega( stabil.delta, v, b, u ) + dw_st_supg_p.i1.Omega( stabil.delta, v, b, p ) = 0""", 'incompressibility' : """ dw_stokes.i1.Omega( u, q ) + dw_st_pspg_c.i1.Omega( stabil.tau, q, b, u ) + dw_st_pspg_p.i1.Omega( stabil.tau, q, p ) = 0""", } solver_1 = { 'name' : 'oseen', 'kind' : 'nls.oseen', 'stabil_mat' : 'stabil', 'adimensionalize' : False, 'check_navier_stokes_rezidual' : False, 'i_max' : 10, 'eps_a' : 1e-8, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). # Uncomment the following to get a convergence log. ## 'log' : {'text' : 'oseen_log.txt', ## 'plot' : 'oseen_log.png'}, } solver_2 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } ## # Functions. import os.path as op import sys sys.path.append(data_dir) # Make installed example work. import examples.navier_stokes.utils as utils cinc_name = 'cinc_' + op.splitext(op.basename(filename_mesh))[0] cinc = getattr(utils, cinc_name) name_map = {'p' : 'p', 'q' : 'q', 'u' : 'u', 'b' : 'b', 'v' : 'v', 'fluid' : 'fluid', 'omega' : 'omega', 'i1' : 'i1', 'i2' : 'i2', 'viscosity' : 'viscosity', 'velocity' : 'velocity', 'gamma' : 'gamma', 'delta' : 'delta', 'tau' : 'tau'} functions = { 'cinc0' : (lambda coors, domain=None: cinc(coors, 0),), 'cinc1' : (lambda coors, domain=None: cinc(coors, 1),), 'stabil' : (StabilizationFunction(name_map),), } sfepy-release_2015.1/examples/navier_stokes/stokes.py000066400000000000000000000105041247364230400230110ustar00rootroot00000000000000r""" Stokes equations for incompressible fluid flow. This example demonstrates fields defined on subdomains as well as use of periodic boundary conditions. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{Y_1 \cup Y_2} \nu\ \nabla \ul{v} : \nabla \ul{u} - \int_{Y_1 \cup Y_2} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{Y_1 \cup Y_2} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;. """ from sfepy import data_dir from sfepy.discrete.fem.periodic import match_y_line filename_mesh = data_dir + '/meshes/2d/special/channels_symm944t.mesh' if filename_mesh.find( 'symm' ): region_1 = { 'name' : 'Y1', 'select' : """cells of group 3""", } region_2 = { 'name' : 'Y2', 'select' : """cells of group 4 +c cells of group 6 +c cells of group 8""", } region_4 = { 'name' : 'Y1Y2', 'select' : """r.Y1 +c r.Y2""", } region_5 = { 'name' : 'Walls', 'select' : """r.EBCGamma1 +v r.EBCGamma2""", 'kind' : 'facet', } region_310 = { 'name' : 'EBCGamma1', 'select' : """(cells of group 1 *v cells of group 3) +v (cells of group 2 *v cells of group 3) """, 'kind' : 'facet', } region_320 = { 'name' : 'EBCGamma2', 'select' : """(cells of group 5 *v cells of group 4) +v (cells of group 1 *v cells of group 4) +v (cells of group 7 *v cells of group 6) +v (cells of group 2 *v cells of group 6) +v (cells of group 9 *v cells of group 8) +v (cells of group 2 *v cells of group 8) """, 'kind' : 'facet', } w2 = 0.499 # Sides. region_20 = { 'name' : 'Left', 'select' : 'vertices in (x < %.3f)' % -w2, 'kind' : 'facet', } region_21 = { 'name' : 'Right', 'select' : 'vertices in (x > %.3f)' % w2, 'kind' : 'facet', } region_22 = { 'name' : 'Bottom', 'select' : 'vertices in (y < %.3f)' % -w2, 'kind' : 'facet', } region_23 = { 'name' : 'Top', 'select' : 'vertices in (y > %.3f)' % w2, 'kind' : 'facet', } field_1 = { 'name' : '2_velocity', 'dtype' : 'real', 'shape' : (2,), 'region' : 'Y1Y2', 'approx_order' : 2, } field_2 = { 'name' : 'pressure', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Y1Y2', 'approx_order' : 1, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '2_velocity', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '2_velocity', 'dual' : 'u', } variable_3 = { 'name' : 'p', 'kind' : 'unknown field', 'field' : 'pressure', 'order' : 1, } variable_4 = { 'name' : 'q', 'kind' : 'test field', 'field' : 'pressure', 'dual' : 'p', } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'balance' : """dw_div_grad.i.Y1Y2( fluid.viscosity, v, u ) - dw_stokes.i.Y1Y2( v, p ) = 0""", 'incompressibility' : """dw_stokes.i.Y1Y2( u, q ) = 0""", } material_1 = { 'name' : 'fluid', 'values' : { 'viscosity' : 1.0, 'density' : 1e0, }, } ebc_1 = { 'name' : 'walls', 'region' : 'Walls', 'dofs' : {'u.all' : 0.0}, } ebc_2 = { 'name' : 'top_velocity', 'region' : 'Top', 'dofs' : {'u.1' : -1.0, 'u.0' : 0.0}, } ebc_10 = { 'name' : 'bottom_pressure', 'region' : 'Bottom', 'dofs' : {'p.0' : 0.0}, } epbc_1 = { 'name' : 'u_rl', 'region' : ['Left', 'Right'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_y_line', } functions = { 'match_y_line' : (match_y_line,), } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 2, 'eps_a' : 1e-8, 'eps_r' : 1e-2, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } save_format = 'hdf5' # 'hdf5' or 'vtk' sfepy-release_2015.1/examples/navier_stokes/stokes_slip_bc.py000066400000000000000000000111241247364230400245030ustar00rootroot00000000000000r""" Incompressible Stokes flow with Navier (slip) boundary conditions, flow driven by a moving wall and a small diffusion for stabilization. This example demonstrates the use of `no-penetration` boundary conditions as well as `edge direction` boundary conditions together with Navier or slip boundary conditions. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} - \int_{\Omega} p\ \nabla \cdot \ul{v} + \int_{\Gamma_1} \beta \ul{v} \cdot (\ul{u} - \ul{u}_d) + \int_{\Gamma_2} \beta \ul{v} \cdot \ul{u} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} \mu \nabla q \cdot \nabla p + \int_{\Omega} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;, where :math:`\nu` is the fluid viscosity, :math:`\beta` is the slip coefficient, :math:`\mu` is the (small) numerical diffusion coefficient, :math:`\Gamma_1` is the top wall that moves with the given driving velocity :math:`\ul{u}_d` and :math:`\Gamma_2` are the remaining walls. The Navier conditions are in effect on both :math:`\Gamma_1`, :math:`\Gamma_2` and are expressed by the corresponding integrals in the equations above. The `no-penetration` boundary conditions are applied on :math:`\Gamma_1`, :math:`\Gamma_2`, except the vertices of the block edges, where the `edge direction` boundary conditions are applied. Optionally, Dirichlet boundary conditions can be applied on the inlet, see the code below. The mesh is created by ``gen_block_mesh()`` function - try different mesh dimensions and resolutions below. For large meshes use the ``'ls_i'`` linear solver - PETSc + petsc4py is needed in that case. """ import numpy as nm from sfepy.discrete.fem.meshio import UserMeshIO from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.homogenization.utils import define_box_regions # Mesh dimensions. dims = nm.array([3, 1, 0.5]) # Mesh resolution: increase to improve accuracy. shape = [11, 15, 15] def mesh_hook(mesh, mode): """ Generate the block mesh. """ if mode == 'read': mesh = gen_block_mesh(dims, shape, [0, 0, 0], name='user_block', verbose=False) return mesh elif mode == 'write': pass filename_mesh = UserMeshIO(mesh_hook) regions = define_box_regions(3, 0.5 * dims) regions.update({ 'Omega' : 'all', 'Edges_v' : ("""(r.Near *v r.Bottom) +v (r.Bottom *v r.Far) +v (r.Far *v r.Top) +v (r.Top *v r.Near)""", 'edge'), 'Gamma1_f' : ('copy r.Top', 'face'), 'Gamma2_f' : ('r.Near +v r.Bottom +v r.Far', 'face'), 'Gamma_f' : ('r.Gamma1_f +v r.Gamma2_f', 'face'), 'Gamma_v' : ('r.Gamma_f -v r.Edges_v', 'face'), 'Inlet_f' : ('r.Left -v r.Gamma_f', 'face'), }) fields = { 'velocity' : ('real', 3, 'Omega', 1), 'pressure' : ('real', 1, 'Omega', 1), } def get_u_d(ts, coors, region=None): """ Given stator velocity. """ out = nm.zeros_like(coors) out[:] = [1.0, 1.0, 0.0] return out functions = { 'get_u_d' : (get_u_d,), } variables = { 'u' : ('unknown field', 'velocity', 0), 'v' : ('test field', 'velocity', 'u'), 'u_d' : ('parameter field', 'velocity', {'setter' : 'get_u_d'}), 'p' : ('unknown field', 'pressure', 1), 'q' : ('test field', 'pressure', 'p'), } # Try setting the inlet velocity by un-commenting the ebcs. ebcs = { ## 'inlet' : ('Inlet_f', {'u.0' : 1.0, 'u.[1, 2]' : 0.0}), } lcbcs = { 'walls' : ('Gamma_v', {'u.all' : None}, None, 'no_penetration', 'normals_Gamma.vtk'), 'edges' : ('Edges_v', [(-0.5, 1.5)], {'u.all' : None}, None, 'edge_direction', 'edges_Edges.vtk'), } materials = { 'm' : ({ 'nu' : 1e-3, 'beta' : 1e-2, 'mu' : 1e-10, },), } equations = { 'balance' : """dw_div_grad.5.Omega(m.nu, v, u) - dw_stokes.5.Omega(v, p) + dw_surface_dot.5.Gamma1_f(m.beta, v, u) + dw_surface_dot.5.Gamma2_f(m.beta, v, u) = + dw_surface_dot.5.Gamma1_f(m.beta, v, u_d)""", 'incompressibility' : """dw_laplace.5.Omega(m.mu, q, p) + dw_stokes.5.Omega(u, q) = 0""", } solvers = { 'ls_d' : ('ls.scipy_direct', {}), ## 'ls_i' : ('ls.petsc', { ## 'method' : 'bcgsl', # ksp_type ## 'precond' : 'ilu', # pc_type ## 'eps_a' : 0.0, # abstol ## 'eps_r' : 1e-12, # rtol ## 'eps_d' : 1e10, # Divergence tolerance. ## 'i_max' : 2500, # maxits ## }), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', 'ls' : 'ls_d', } sfepy-release_2015.1/examples/navier_stokes/utils.py000066400000000000000000000017261247364230400226470ustar00rootroot00000000000000## # Functions. import numpy as nm from sfepy.linalg import get_coors_in_tube # last revision: 01.08.2007 def cinc_cylinder(coors, mode): axis = nm.array([1, 0, 0], nm.float64) if mode == 0: # In centre = nm.array([-0.00001, 0.0, 0.0], nm.float64) radius = 0.019 length = 0.00002 elif mode == 1: # Out centre = nm.array([0.09999, 0.0, 0.0], nm.float64) radius = 0.019 length = 0.00002 else: centre = nm.array([0.05, 0.0, 0.0], nm.float64) radius = 0.012 length = 0.04 return get_coors_in_tube(coors, centre, axis, -1.0, radius, length) def cinc_elbow2(coors, mode): if mode == 0: # In centre = nm.array([0.0, -0.00001, 0.0], nm.float64) else: # Out centre = nm.array([0.2, -0.00001, 0.0], nm.float64) axis = nm.array([0, 1, 0], nm.float64) radius = 0.029 length = 0.00002 return get_coors_in_tube(coors, centre, axis, -1.0, radius, length) sfepy-release_2015.1/examples/phononic/000077500000000000000000000000001247364230400200705ustar00rootroot00000000000000sfepy-release_2015.1/examples/phononic/__init__.py000066400000000000000000000000001247364230400221670ustar00rootroot00000000000000sfepy-release_2015.1/examples/phononic/band_gaps.py000066400000000000000000000062041247364230400223620ustar00rootroot00000000000000""" Acoustic band gaps in a strongly heterogeneous elastic body, detected using homogenization techniques. A reference periodic cell contains two domains: the stiff matrix :math:`Y_m` and the soft (but heavy) inclusion :math:`Y_c`. """ from sfepy import data_dir from sfepy.base.base import Struct from sfepy.base.ioutils import InDir from sfepy.homogenization.coefficients import Coefficients from band_gaps_conf import BandGapsConf, get_pars, clip_sqrt, normalize clip_sqrt, normalize # Make pyflakes happy... incwd = InDir(__file__) filename = data_dir + '/meshes/2d/special/circle_in_square.mesh' output_dir = incwd('output/band_gaps') # aluminium, in 1e+10 Pa D_m = get_pars(2, 5.898, 2.681) density_m = 0.2799 # in 1e4 kg/m3 # epoxy, in 1e+10 Pa D_c = get_pars(2, 0.1798, 0.148) density_c = 0.1142 # in 1e4 kg/m3 mat_pars = Coefficients(D_m=D_m, density_m=density_m, D_c=D_c, density_c=density_c) region_selects = Struct(matrix='cells of group 1', inclusion='cells of group 2') corrs_save_names = {'evp' : 'evp', 'corrs_rs' : 'corrs_rs'} options = { 'plot_transform_angle' : None, 'plot_transform_wave' : ('clip_sqrt', (0, 30)), 'plot_transform' : ('normalize', (-2, 2)), 'fig_name' : 'band_gaps', 'fig_name_angle' : 'band_gaps_angle', 'fig_name_wave' : 'band_gaps_wave', 'fig_suffix' : '.pdf', 'coefs_filename' : 'coefs.txt', 'incident_wave_dir' : [1.0, 1.0], 'plot_options' : { 'show' : True, 'legend' : True, }, 'plot_labels' : { 'band_gaps' : { 'resonance' : r'$\lambda^r$', 'masked' : r'masked $\lambda^r$', 'eig_min' : r'min eig($M$)', 'eig_max' : r'max eig($M$)', 'x_axis' : r'$\sqrt{\lambda}$, $\omega$', 'y_axis' : r'eigenvalues of mass matrix $M$', }, }, 'plot_rsc' : { 'params' : {'axes.labelsize': 'x-large', 'text.fontsize': 'large', 'legend.fontsize': 'large', 'legend.loc': 1, 'xtick.labelsize': 'large', 'ytick.labelsize': 'large', 'text.usetex': True}, }, } evp_options = { 'eigensolver' : 'eig.sgscipy', 'save_eig_vectors' : (12, 0), 'scale_epsilon' : 1.0, 'elasticity_contrast' : 1.0, } eigenmomenta_options = { # eigenmomentum threshold, 'threshold' : 1e-2, # eigenmomentum threshold is relative w.r.t. largest one, 'threshold_is_relative' : True, } band_gaps_options = { 'eig_range' : (0, 30), # -> freq_range # = sqrt(eigs[slice(*eig_range)][[0, -1]]) 'freq_margins' : (10, 10), # % of freq_range 'freq_eps' : 1e-12, # frequency 'zezo_eps' : 1e-12, # zero finding 'freq_step' : 0.0001, # % of freq_range 'log_save_name' : 'band_gaps.log', } conf = BandGapsConf(filename, 1, region_selects, mat_pars, options, evp_options, eigenmomenta_options, band_gaps_options, corrs_save_names=corrs_save_names, incwd=incwd, output_dir=output_dir) define = lambda: conf.conf.to_dict() sfepy-release_2015.1/examples/phononic/band_gaps_conf.py000066400000000000000000000361451247364230400233760ustar00rootroot00000000000000""" Configuration classes for acoustic band gaps in a strongly heterogeneous elastic body. """ import numpy as nm from sfepy.base.base import get_default, import_file, Struct from sfepy.base.conf import ProblemConf from sfepy.discrete.fem import MeshIO import sfepy.discrete.fem.periodic as per from sfepy.mechanics.matcoefs import stiffness_from_lame, TransformToPlane from sfepy.homogenization.utils import define_box_regions, get_lattice_volume import sfepy.homogenization.coefs_base as cb import sfepy.homogenization.coefs_phononic as cp def get_pars(dim, lam, mu): c = stiffness_from_lame(3, lam, mu) if dim == 2: tr = TransformToPlane() try: c = tr.tensor_plane_stress(c3=c) except: sym = (dim + 1) * dim / 2 c = nm.zeros((sym, sym), dtype=nm.float64) return c def set_coef_d(variables, ir, ic, mode, pis, corrs_rs): mode2var = {'row' : 'u1_m', 'col' : 'u2_m'} val = pis.states[ir, ic]['u_m'] + corrs_rs.states[ir, ic]['u_m'] variables[mode2var[mode]].set_data(val) class BandGapsConf(Struct): """ Configuration class for acoustic band gaps in a strongly heterogeneous elastic body. """ def __init__(self, filename, approx, region_selects, mat_pars, options, evp_options, eigenmomenta_options, band_gaps_options, coefs_save_name='coefs', corrs_save_names=None, incwd=None, output_dir=None, **kwargs): Struct.__init__(self, approx=approx, region_selects=region_selects, mat_pars=mat_pars, options=options, evp_options=evp_options, eigenmomenta_options=eigenmomenta_options, band_gaps_options=band_gaps_options, **kwargs) self.incwd = get_default(incwd, lambda x: x) self.conf = Struct() self.conf.filename_mesh = self.incwd(filename) output_dir = get_default(output_dir, self.incwd('output')) default = {'evp' : 'evp', 'corrs_rs' : 'corrs_rs'} self.corrs_save_names = get_default(corrs_save_names, default) io = MeshIO.any_from_filename(self.conf.filename_mesh) self.bbox, self.dim = io.read_bounding_box(ret_dim=True) rpc_axes = nm.eye(self.dim, dtype=nm.float64) \ * (self.bbox[1] - self.bbox[0]) self.conf.options = options self.conf.options.update({ 'output_dir' : output_dir, 'volume' : { 'value' : get_lattice_volume(rpc_axes), }, 'coefs' : 'coefs', 'requirements' : 'requirements', 'coefs_filename' : coefs_save_name, }) self.conf.mat_pars = mat_pars self.conf.solvers = self.define_solvers() self.conf.regions = self.define_regions() self.conf.materials = self.define_materials() self.conf.fields = self.define_fields() self.conf.variables = self.define_variables() (self.conf.ebcs, self.conf.epbcs, self.conf.lcbcs, self.all_periodic) = self.define_bcs() self.conf.functions = self.define_functions() self.conf.integrals = self.define_integrals() self.equations, self.expr_coefs = self.define_equations() self.conf.coefs = self.define_coefs() self.conf.requirements = self.define_requirements() def __call__(self): return ProblemConf.from_dict(self.conf.__dict__, import_file(__file__)) def define_solvers(self): solvers = { 'ls_d' : ('ls.scipy_direct', {}), 'ls_i' : ('ls.scipy_iterative', { 'method' : 'cg', 'i_max' : 1000, 'eps_a' : 1e-12, }), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-4, }), } return solvers def define_regions(self): regions = { 'Y' : 'all', 'Y_m' : self.region_selects.matrix, 'Y_c' : self.region_selects.inclusion, 'Gamma_mc': ('r.Y_m *v r.Y_c', 'facet'), } regions.update(define_box_regions(self.dim, self.bbox[0], self.bbox[1], 1e-5)) return regions def define_materials(self): materials = { 'm' : ({ 'D_m' : self.mat_pars.D_m, 'density_m' : self.mat_pars.density_m, 'D_c' : self.mat_pars.D_c, 'density_c' : self.mat_pars.density_c, }, None, None, {'special_constant' : True}), } return materials def define_fields(self): fields = { 'vector_Y_m' : ('real', self.dim, 'Y_m', self.approx), 'vector_Y_c' : ('real', self.dim, 'Y_c', self.approx), 'scalar_Y' : ('real', 1, 'Y', 1), } return fields def define_variables(self): variables = { 'u_m' : ('unknown field', 'vector_Y_m'), 'v_m' : ('test field', 'vector_Y_m', 'u_m'), 'Pi' : ('parameter field', 'vector_Y_m', '(set-to-None)'), 'u1_m' : ('parameter field', 'vector_Y_m', '(set-to-None)'), 'u2_m' : ('parameter field', 'vector_Y_m', '(set-to-None)'), 'u_c' : ('unknown field', 'vector_Y_c'), 'v_c' : ('test field', 'vector_Y_c', 'u_c'), 'aux' : ('parameter field', 'scalar_Y', '(set-to-None)'), } return variables def define_bcs(self): ebcs = { 'fixed_corners' : ('Corners', {'u_m.all' : 0.0}), 'fixed_gamma_mc' : ('Gamma_mc', {'u_c.all' : 0.0}), } epbcs = {} all_periodic = [] for vn in ['u_m']: val = {'%s.all' % vn : '%s.all' % vn} epbcs.update({ 'periodic_%s_x' % vn : (['Left', 'Right'], val, 'match_y_line'), 'periodic_%s_y' % vn : (['Top', 'Bottom'], val, 'match_x_line'), }) all_periodic.extend(['periodic_%s_x' % vn, 'periodic_%s_y' % vn]) lcbcs = {} return ebcs, epbcs, lcbcs, all_periodic def define_functions(self): functions = { 'match_x_line' : (per.match_x_line,), 'match_y_line' : (per.match_y_line,), } return functions def define_integrals(self): integrals = { 'i' : 2, } return integrals def define_equations(self): equations = {} equations['corrs_rs'] = { 'balance_of_forces' : """dw_lin_elastic.i.Y_m( m.D_m, v_m, u_m ) = - dw_lin_elastic.i.Y_m( m.D_m, v_m, Pi )""", } equations['evp'] = { 'lhs' : """dw_lin_elastic.i.Y_c( m.D_c, v_c, u_c )""", 'rhs' : """dw_volume_dot.i.Y_c( m.density_c, v_c, u_c )""", } expr_coefs = { 'D' : """dw_lin_elastic.i.Y_m( m.D_m, u1_m, u2_m )""", 'VF' : """d_volume.i.%s(aux)""", 'ema' : """ev_volume_integrate.i.Y_c( m.density_c, u_c )""", } return equations, expr_coefs def define_coefs(self): from copy import copy ema_options = copy(self.eigenmomenta_options) ema_options.update({'var_name' : 'u_c'}) coefs = { # Basic. 'VF' : { 'regions' : ['Y_m', 'Y_c'], 'expression' : self.expr_coefs['VF'], 'class' : cb.VolumeFractions, }, 'dv_info' : { 'requires' : ['c.VF'], 'region_to_material' : {'Y_m' : ('m', 'density_m'), 'Y_c' : ('m', 'density_c'),}, 'class' : cp.DensityVolumeInfo, }, 'eigenmomenta' : { 'requires' : ['evp', 'c.dv_info'], 'expression' : self.expr_coefs['ema'], 'options' : ema_options, 'class' : cp.Eigenmomenta, }, 'M' : { 'requires' : ['evp', 'c.dv_info', 'c.eigenmomenta'], 'class' : cp.AcousticMassTensor, }, 'band_gaps' : { 'requires' : ['evp', 'c.eigenmomenta', 'c.M'], 'options' : self.band_gaps_options, 'class' : cp.BandGaps, }, # Dispersion. 'D' : { 'requires' : ['pis', 'corrs_rs'], 'expression' : self.expr_coefs['D'], 'set_variables' : set_coef_d, 'class' : cb.CoefSymSym, }, 'Gamma' : { 'requires' : ['c.D'], 'options' : { 'mode' : 'simple', 'incident_wave_dir' : None, }, 'class' : cp.ChristoffelAcousticTensor, }, 'dispersion' : { 'requires' : ['evp', 'c.eigenmomenta', 'c.M', 'c.Gamma'], 'options' : self.band_gaps_options, 'class' : cp.BandGaps, }, 'polarization_angles' : { 'requires' : ['c.dispersion'], 'options' : { 'incident_wave_dir' : None, }, 'class' : cp.PolarizationAngles, }, # Phase velocity. 'phase_velocity' : { 'requires' : ['c.dv_info', 'c.Gamma'], 'options' : { 'eigensolver' : 'eig.sgscipy', }, 'class' : cp.PhaseVelocity, }, 'filenames' : {}, } return coefs def define_requirements(self): requirements = { # Basic. 'evp' : { 'ebcs' : ['fixed_gamma_mc'], 'epbcs' : None, 'equations' : self.equations['evp'], 'save_name' : self.corrs_save_names['evp'], 'dump_variables' : ['u_c'], 'options' : self.evp_options, 'class' : cp.SimpleEVP, }, # Dispersion. 'pis' : { 'variables' : ['u_m'], 'class' : cb.ShapeDimDim, }, 'corrs_rs' : { 'requires' : ['pis'], 'ebcs' : ['fixed_corners'], 'epbcs' : self.all_periodic, 'equations' : self.equations['corrs_rs'], 'set_variables' : [('Pi', 'pis', 'u_m')], 'save_name' : self.corrs_save_names['corrs_rs'], 'dump_variables' : ['u_m'], 'is_linear' : True, 'class' : cb.CorrDimDim, }, } return requirements class BandGapsRigidConf(BandGapsConf): """ Configuration class for acoustic band gaps in a strongly heterogeneous elastic body with rigid inclusions. """ def define_regions(self): regions = BandGapsConf.define_regions(self) regions['Y_cr'] = regions['Y_c'] regions.update({ 'Y_r' : 'vertices by select_yr', 'Y_c' : 'r.Y_cr -c r.Y_r', }) return regions def define_materials(self): materials = BandGapsConf.define_materials(self) materials['m'][0].update({ 'D_r' : self.mat_pars.D_r, 'density_r' : self.mat_pars.density_r, }) return materials def define_fields(self): fields = { 'vector_Y_cr' : ('real', self.dim, 'Y_cr', self.approx), 'scalar_Y' : ('real', 1, 'Y', 1), } return fields def define_variables(self): variables = { 'u' : ('unknown field', 'vector_Y_cr'), 'v' : ('test field', 'vector_Y_cr', 'u'), 'aux' : ('parameter field', 'scalar_Y', '(set-to-None)'), } return variables def define_bcs(self): ebcs = { 'fixed_gamma_mc' : ('Gamma_mc', {'u.all' : 0.0}), } lcbcs ={ 'rigid' : ('Y_r',{'u.all' : None}, None, 'rigid'), } return ebcs, {}, lcbcs, [] def define_functions(self): functions = BandGapsConf.define_functions(self) functions.update({ 'select_yr' : (self.select_yr,), }) return functions def define_equations(self): equations = {} # dw_lin_elastic.i.Y_r( m.D_r, v, u ) should have no effect! equations['evp'] = { 'lhs' : """dw_lin_elastic.i.Y_c( m.D_c, v, u ) + dw_lin_elastic.i.Y_r( m.D_r, v, u )""", 'rhs' : """dw_volume_dot.i.Y_c( m.density_c, v, u ) + dw_volume_dot.i.Y_r( m.density_r, v, u )""", } expr_coefs = { 'VF' : """d_volume.i.%s(aux)""", 'ema' : """ev_volume_integrate.i.Y_c( m.density_c, u ) + ev_volume_integrate.i.Y_r( m.density_r, u )""", } return equations, expr_coefs def define_coefs(self): from copy import copy ema_options = copy(self.eigenmomenta_options) ema_options.update({'var_name' : 'u'}) coefs = { # Basic. 'VF' : { 'regions' : ['Y_m', 'Y_cr', 'Y_c', 'Y_r'], 'expression' : self.expr_coefs['VF'], 'class' : cb.VolumeFractions, }, 'dv_info' : { 'requires' : ['c.VF'], 'region_to_material' : {'Y_m' : ('m', 'density_m'), 'Y_c' : ('m', 'density_c'), 'Y_r' : ('m', 'density_r'),}, 'class' : cp.DensityVolumeInfo, }, 'eigenmomenta' : { 'requires' : ['evp', 'c.dv_info'], 'expression' : self.expr_coefs['ema'], 'options' : ema_options, 'class' : cp.Eigenmomenta, }, 'M' : { 'requires' : ['evp', 'c.dv_info', 'c.eigenmomenta'], 'class' : cp.AcousticMassTensor, }, 'band_gaps' : { 'requires' : ['evp', 'c.eigenmomenta', 'c.M'], 'options' : self.band_gaps_options, 'class' : cp.BandGaps, }, 'filenames' : {}, } return coefs def define_requirements(self): requirements = { # Basic. 'evp' : { 'ebcs' : ['fixed_gamma_mc'], 'epbcs' : None, 'lcbcs' : ['rigid'], 'equations' : self.equations['evp'], 'save_name' : self.corrs_save_names['evp'], 'dump_variables' : ['u'], 'options' : self.evp_options, 'class' : cp.SimpleEVP, }, } return requirements def clip(data, plot_range): return nm.clip(data, *plot_range) def clip_sqrt(data, plot_range): return nm.clip(nm.sqrt(data), *plot_range) def normalize(data, plot_range): aux = nm.arctan(data) return clip(aux, plot_range) sfepy-release_2015.1/examples/phononic/band_gaps_rigid.py000066400000000000000000000071671247364230400235510ustar00rootroot00000000000000""" Acoustic band gaps in a strongly heterogeneous elastic body with a rigid inclusion, detected using homogenization techniques. A reference periodic cell contains three domains: the stiff matrix :math:`Y_m` and the soft inclusion :math:`Y_c` enclosing the rigid heavy sub-inclusion :math:`Y_r`. """ import numpy as nm from sfepy import data_dir from sfepy.base.base import Struct from sfepy.base.ioutils import InDir from sfepy.discrete.fem import extend_cell_data from sfepy.linalg import norm_l2_along_axis from sfepy.homogenization.coefficients import Coefficients from band_gaps_conf import BandGapsRigidConf, get_pars, normalize normalize # Make pyflakes happy... incwd = InDir(__file__) dim = 2 if dim == 3: filename = data_dir + '/meshes/3d/special/cube_sphere.mesh' else: filename = data_dir + '/meshes/2d/special/circle_in_square.mesh' output_dir = incwd('output/band_gaps_rigid') # Rigid inclusion diameter. yr_diameter = 0.125 # aluminium, in 1e+10 Pa D_m = get_pars(dim, 5.898, 2.681) density_m = 0.2799 # in 1e4 kg/m3 # epoxy, in 1e+10 Pa D_c = get_pars(dim, 0.1798, 0.148) density_c = 0.1142 # in 1e4 kg/m3 # lead, in 1e+10 Pa, does not matter D_r = get_pars(dim, 4.074, 0.5556) density_r = 1.1340 # in 1e4 kg/m3 mat_pars = Coefficients(D_m=D_m, density_m=density_m, D_c=D_c, density_c=density_c, D_r=D_r, density_r=density_r) region_selects = Struct(matrix='cells of group 1', inclusion='cells of group 2') corrs_save_names = {'evp' : 'evp'} evp_options = { 'eigensolver' : 'eig.sgscipy', 'save_eig_vectors' : (12, 0), 'scale_epsilon' : 1.0, 'elasticity_contrast' : 1.0, } eigenmomenta_options = { # eigenmomentum threshold, 'threshold' : 1e-1, # eigenmomentum threshold is relative w.r.t. largest one, 'threshold_is_relative' : True, } band_gaps_options = { 'fixed_freq_range' : (0., 35.), # overrides eig_range! 'freq_eps' : 1e-12, # frequency 'zezo_eps' : 1e-12, # zero finding 'freq_step' : 0.01, # % of freq_range 'log_save_name' : 'band_gaps.log', } options = { 'post_process_hook' : 'post_process', 'plot_transform' : ('normalize', (-2, 2)), 'fig_name' : 'band_gaps', 'fig_suffix' : '.pdf', 'coefs_filename' : 'coefs.txt', 'plot_options' : { 'show' : True, # Show figure. 'legend' : True, # Show legend. }, } def select_yr_circ(coors, diameter=None): r = norm_l2_along_axis(coors) out = nm.where(r < diameter)[0] if out.shape[0] <= 3: raise ValueError('too few nodes selected! (%d)' % out.shape[0]) return out def _select_yr_circ(coors, domain=None, diameter=None): return select_yr_circ(coors, diameter=yr_diameter) def post_process(out, problem, mtx_phi): var = problem.get_variables()['u'] for key in out.keys(): ii = int(key[1:]) vec = mtx_phi[:,ii].copy() var.set_data(vec) strain = problem.evaluate('ev_cauchy_strain.i.Y_c(u)', u=var, verbose=False, mode='el_avg') strain = extend_cell_data(strain, problem.domain, 'Y_c') out['strain%03d' % ii] = Struct(name='output_data', mode='cell', data=strain, dofs=None) return out conf = BandGapsRigidConf(filename, 1, region_selects, mat_pars, options, evp_options, eigenmomenta_options, band_gaps_options, corrs_save_names=corrs_save_names, incwd=incwd, output_dir=output_dir, select_yr=_select_yr_circ) define = lambda: conf.conf.to_dict() sfepy-release_2015.1/examples/piezo_elasticity/000077500000000000000000000000001247364230400216335ustar00rootroot00000000000000sfepy-release_2015.1/examples/piezo_elasticity/__init__.py000066400000000000000000000000001247364230400237320ustar00rootroot00000000000000sfepy-release_2015.1/examples/piezo_elasticity/piezo.py000066400000000000000000000077341247364230400233460ustar00rootroot00000000000000r""" Piezo-elasticity problem - linear elastic material with piezoelectric effects. Find :math:`\ul{u}`, :math:`\phi` such that: .. math:: - \omega^2 \int_{Y} \rho\ \ul{v} \cdot \ul{u} + \int_{Y} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{Y_2} g_{kij}\ e_{ij}(\ul{v}) \nabla_k \phi = 0 \;, \quad \forall \ul{v} \;, \int_{Y_2} g_{kij}\ e_{ij}(\ul{u}) \nabla_k \psi + \int_{Y} K_{ij} \nabla_i \psi \nabla_j \phi = 0 \;, \quad \forall \psi \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;. """ import os import numpy as nm from sfepy import data_dir from sfepy.discrete.fem import MeshIO filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' ## filename_mesh = data_dir + '/meshes/2d/special/circle_in_square_small.mesh' ## filename_mesh = data_dir + '/meshes/3d/special/cube_sphere.mesh' ## filename_mesh = data_dir + '/meshes/2d/special/cube_cylinder.mesh' omega = 1 omega_squared = omega**2 conf_dir = os.path.dirname(__file__) io = MeshIO.any_from_filename(filename_mesh, prefix_dir=conf_dir) bbox, dim = io.read_bounding_box( ret_dim = True ) geom = {3 : '3_4', 2 : '2_3'}[dim] x_left, x_right = bbox[:,0] regions = { 'Y' : 'all', 'Y1' : 'cells of group 1', 'Y2' : 'cells of group 2', 'Y2_Surface': ('r.Y1 *v r.Y2', 'facet'), 'Left' : ('vertices in (x < %f)' % (x_left + 1e-3), 'facet'), 'Right' : ('vertices in (x > %f)' % (x_right - 1e-3), 'facet'), } material_2 = { 'name' : 'inclusion', # epoxy 'function' : 'get_inclusion_pars', } def get_inclusion_pars(ts, coor, mode=None, **kwargs): """TODO: implement proper 3D -> 2D transformation of constitutive matrices.""" if mode == 'qp': n_nod, dim = coor.shape sym = (dim + 1) * dim / 2 dielectric = nm.eye( dim, dtype = nm.float64 ) # !!! coupling = nm.ones( (dim, sym), dtype = nm.float64 ) # coupling[0,1] = 0.2 out = { # Lame coefficients in 1e+10 Pa. 'lam' : 0.1798, 'mu' : 0.148, # dielectric tensor 'dielectric' : dielectric, # piezoelectric coupling 'coupling' : coupling, 'density' : 0.1142, # in 1e4 kg/m3 } for key, val in out.iteritems(): out[key] = nm.tile(val, (coor.shape[0], 1, 1)) return out functions = { 'get_inclusion_pars' : (get_inclusion_pars,), } field_0 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : dim, 'region' : 'Y', 'approx_order' : 1, } field_2 = { 'name' : 'potential', 'dtype' : nm.float64, 'shape' : (1,), 'region' : 'Y', 'approx_order' : 1, } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'phi' : ('unknown field', 'potential', 1), 'psi' : ('test field', 'potential', 'phi'), } ebcs = { 'u1' : ('Left', {'u.all' : 0.0}), 'u2' : ('Right', {'u.0' : 0.1}), 'phi' : ('Y2_Surface', {'phi.all' : 0.0}), } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { '1' : """- %f * dw_volume_dot.i.Y( inclusion.density, v, u ) + dw_lin_elastic_iso.i.Y( inclusion.lam, inclusion.mu, v, u ) - dw_piezo_coupling.i.Y2( inclusion.coupling, v, phi ) = 0""" % omega_squared, '2' : """dw_piezo_coupling.i.Y2( inclusion.coupling, u, psi ) + dw_diffusion.i.Y( inclusion.dielectric, psi, phi ) = 0""", } ## # Solvers etc. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp': 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, } sfepy-release_2015.1/examples/quantum/000077500000000000000000000000001247364230400177455ustar00rootroot00000000000000sfepy-release_2015.1/examples/quantum/__init__.py000066400000000000000000000000001247364230400220440ustar00rootroot00000000000000sfepy-release_2015.1/examples/quantum/boron.py000066400000000000000000000006211247364230400214350ustar00rootroot00000000000000from sfepy.linalg import norm_l2_along_axis from quantum_common import common def fun_v(ts, coor, mode=None, **kwargs): if not mode == 'qp': return out = {} C = 0.5 r = norm_l2_along_axis(coor, axis=1) V = - C * 5.0 / r V.shape = (V.shape[0], 1, 1) out['V'] = V return out def define(n_eigs=10, tau=-15): l = common(fun_v, n_eigs=n_eigs, tau=tau) return l sfepy-release_2015.1/examples/quantum/hydrogen.py000066400000000000000000000006221247364230400221360ustar00rootroot00000000000000from sfepy.linalg import norm_l2_along_axis from quantum_common import common def fun_v(ts, coor, mode=None, **kwargs): if not mode == 'qp': return out = {} C = 0.5 r = norm_l2_along_axis(coor, axis=1) V = - C * 1.0 / r V.shape = (V.shape[0], 1, 1) out['V'] = V return out def define(n_eigs=5, tau=-1.0): l = common(fun_v, n_eigs=n_eigs, tau=tau) return l sfepy-release_2015.1/examples/quantum/oscillator.py000066400000000000000000000006251247364230400224750ustar00rootroot00000000000000from sfepy.linalg import norm_l2_along_axis from quantum_common import common def fun_v(ts, coor, mode=None, **kwargs): if not mode == 'qp': return out = {} C = 0.5 val = C * norm_l2_along_axis(coor, axis=1, squared=True) val.shape = (val.shape[0], 1, 1) out['V'] = val return out def define(n_eigs=20, tau=0.0): l = common(fun_v, n_eigs=n_eigs, tau=tau) return l sfepy-release_2015.1/examples/quantum/quantum_common.py000066400000000000000000000052561247364230400233710ustar00rootroot00000000000000""" Common code for basic electronic structure examples. Notes ----- The same code should work also with a 3D (box) mesh, but a very fine mesh would be required. Also in the 2D case, finer mesh and/or higher approximation order means higher accuracy. Try changing C, F and L parameters in square.geo and regenerate the mesh using gmsh:: $ gmsh -2 -format mesh meshes/quantum/square.geo -o meshes/quantum/square.mesh $ ./script/convert_mesh.py meshes/quantum/square.mesh meshes/quantum/aux.vtk $ ./script/convert_mesh.py meshes/quantum/aux.vtk meshes/quantum/square.mesh The ``script/convert_mesh.py`` calls make the mesh 2D, as gmsh does not save planar medit meshes. Also try changing approximation order ('approx_order') of the field below, as well as the integral order (should be two times the approximation order). """ from sfepy import data_dir def common(fun_v, n_eigs=5, tau=0.0): filename_mesh = data_dir + '/meshes/quantum/square.mesh' options = { 'save_eig_vectors' : None, 'n_eigs' : n_eigs, 'eigen_solver' : 'eigen1', } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_2 = { 'name' : 'Surface', 'select' : 'vertices of surface', 'kind' : 'facet', } functions = { 'fun_v' : (fun_v,), } material_1 = { 'name' : 'm', 'values' : { 'val' : 0.5, }, } material_2 = { 'name' : 'mat_v', 'function' : 'fun_v', } field_0 = { 'name' : 'field_Psi', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 2, } integral_1 = { 'name' : 'i', 'order' : 4, } variable_1 = { 'name' : 'Psi', 'kind' : 'unknown field', 'field' : 'field_Psi', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : 'field_Psi', 'dual' : 'Psi', } variable_3 = { 'name' : 'V', 'kind' : 'parameter field', 'field' : 'field_Psi', 'like' : 'Psi', } ebc_1 = { 'name' : 'ZeroSurface', 'region' : 'Surface', 'dofs' : {'Psi.0' : 0.0}, } equations = { 'lhs' : """ dw_laplace.i.Omega( m.val, v, Psi ) + dw_volume_dot.i.Omega( mat_v.V, v, Psi )""", 'rhs' : """dw_volume_dot.i.Omega( v, Psi )""", } solver_2 = { 'name' : 'eigen1', 'kind' : 'eig.pysparse', 'tau' : tau, 'eps_a' : 1e-10, 'i_max' : 150, 'method' : 'qmrs', 'verbosity' : 0, 'strategy' : 1, } return locals() sfepy-release_2015.1/examples/quantum/well.py000066400000000000000000000005411247364230400212620ustar00rootroot00000000000000from quantum_common import common def fun_v(ts, coor, mode=None, **kwargs): from numpy import zeros_like if not mode == 'qp': return out = {} val = zeros_like(coor[:,0]) val.shape = (val.shape[0], 1, 1) out['V'] = val return out def define(n_eigs=10, tau=0.0): l = common(fun_v, n_eigs=n_eigs, tau=tau) return l sfepy-release_2015.1/examples/standalone/000077500000000000000000000000001247364230400204035ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/__init__.py000066400000000000000000000000001247364230400225020ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/elastic_materials/000077500000000000000000000000001247364230400240705ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/elastic_materials/__init__.py000066400000000000000000000000001247364230400261670ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/elastic_materials/compare_elastic_materials.py000066400000000000000000000154011247364230400316360ustar00rootroot00000000000000""" Compare various elastic materials w.r.t. uniaxial tension/compression test. Requires Matplotlib. """ from optparse import OptionParser import sys sys.path.append( '.' ) import numpy as nm def define(): """Define the problem to solve.""" filename_mesh = 'el3.mesh' options = { 'nls' : 'newton', 'ls' : 'ls', 'ts' : 'ts', 'save_steps' : -1, } functions = { 'linear_tension' : (linear_tension,), 'linear_compression' : (linear_compression,), 'empty' : (lambda ts, coor, mode, region, ig: None,), } field_1 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : (3,), 'region' : 'Omega', 'approx_order' : 1, } # Coefficients are chosen so that the tangent stiffness is the same for all # material for zero strains. # Young modulus = 10 kPa, Poisson's ratio = 0.3 material_1 = { 'name' : 'solid', 'values' : { 'K' : 8.333, # bulk modulus 'mu_nh' : 3.846, # shear modulus of neoHookean term 'mu_mr' : 1.923, # shear modulus of Mooney-Rivlin term 'kappa' : 1.923, # second modulus of Mooney-Rivlin term 'lam' : 5.769, # Lame coefficients for LE term 'mu_le' : 3.846, } } material_2 = { 'name' : 'load', 'function' : 'empty' } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), } regions = { 'Omega' : 'all', 'Bottom' : ('vertices in (z < 0.1)', 'facet'), 'Top' : ('vertices in (z > 2.9)', 'facet'), } ebcs = { 'fixb' : ('Bottom', {'u.all' : 0.0}), 'fixt' : ('Top', {'u.[0,1]' : 0.0}), } ## # Balance of forces. integral_1 = { 'name' : 'i', 'order' : 1, } integral_3 = { 'name' : 'isurf', 'order' : 2, } equations = { 'linear' : """dw_lin_elastic_iso.i.Omega( solid.lam, solid.mu_le, v, u ) = dw_surface_ltr.isurf.Top( load.val, v )""", 'neoHookean' : """dw_tl_he_neohook.i.Omega( solid.mu_nh, v, u ) + dw_tl_bulk_penalty.i.Omega( solid.K, v, u ) = dw_surface_ltr.isurf.Top( load.val, v )""", 'Mooney-Rivlin' : """dw_tl_he_neohook.i.Omega( solid.mu_mr, v, u ) + dw_tl_he_mooney_rivlin.i.Omega( solid.kappa, v, u ) + dw_tl_bulk_penalty.i.Omega( solid.K, v, u ) = dw_surface_ltr.isurf.Top( load.val, v )""", } ## # Solvers etc. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 5, 'eps_a' : 1e-10, 'eps_r' : 1.0, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp': 0.001, 'ls_on' : 1.1, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, 'problem' : 'nonlinear', # 'nonlinear' or 'linear' (ignore i_max) } solver_2 = { 'name' : 'ts', 'kind' : 'ts.simple', 't0' : 0, 't1' : 1, 'dt' : None, 'n_step' : 101, # has precedence over dt! } return locals() ## # Pressure tractions. def linear_tension(ts, coor, mode=None, **kwargs): if mode == 'qp': val = nm.tile(0.1 * ts.step, (coor.shape[0], 1, 1)) return {'val' : val} def linear_compression(ts, coor, mode=None, **kwargs): if mode == 'qp': val = nm.tile(-0.1 * ts.step, (coor.shape[0], 1, 1)) return {'val' : val} def store_top_u( displacements ): """Function _store() will be called at the end of each loading step. Top displacements will be stored into `displacements`.""" def _store( problem, ts, state ): top = problem.domain.regions['Top'] top_u = problem.get_variables()['u'].get_state_in_region( top ) displacements.append( nm.mean( top_u[:,-1] ) ) return _store def solve_branch(problem, branch_function): displacements = {} for key, eq in problem.conf.equations.iteritems(): problem.set_equations( {key : eq} ) load = problem.get_materials()['load'] load.set_function(branch_function) time_solver = problem.get_time_solver() out = [] time_solver(save_results=False, step_hook=store_top_u(out)) displacements[key] = nm.array(out, dtype=nm.float64) return displacements usage = """%prog [options]""" helps = { 'no_plot' : 'do not show plot window', } def main(): from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.discrete import Problem from sfepy.base.plotutils import plt parser = OptionParser(usage=usage, version='%prog') parser.add_option('-n', '--no-plot', action="store_true", dest='no_plot', default=False, help=helps['no_plot']) options, args = parser.parse_args() required, other = get_standard_keywords() # Use this file as the input file. conf = ProblemConf.from_file( __file__, required, other ) # Create problem instance, but do not set equations. problem = Problem.from_conf(conf, init_equations=False) # Solve the problem. Output is ignored, results stored by using the # step_hook. u_t = solve_branch(problem, linear_tension) u_c = solve_branch(problem, linear_compression) # Get pressure load by calling linear_*() for each time step. ts = problem.get_timestepper() load_t = nm.array([linear_tension(ts, nm.array([[0.0]]), 'qp')['val'] for aux in ts.iter_from( 0 )], dtype=nm.float64).squeeze() load_c = nm.array([linear_compression(ts, nm.array([[0.0]]), 'qp')['val'] for aux in ts.iter_from( 0 )], dtype=nm.float64).squeeze() # Join the branches. displacements = {} for key in u_t.keys(): displacements[key] = nm.r_[u_c[key][::-1], u_t[key]] load = nm.r_[load_c[::-1], load_t] if plt is None: print 'matplotlib cannot be imported, printing raw data!' print displacements print load else: legend = [] for key, val in displacements.iteritems(): plt.plot( load, val ) legend.append( key ) plt.legend( legend, loc = 2 ) plt.xlabel( 'tension [kPa]' ) plt.ylabel( 'displacement [mm]' ) plt.grid( True ) plt.gcf().savefig( 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243 65 243 76 530 65 2 243 530 65 198 7 459 66 57 31 198 66 7 8 459 66 57 198 459 66 61 34 685 67 34 35 685 67 53 40 685 67 40 41 685 67 35 53 685 67 41 61 685 67 sfepy-release_2015.1/examples/standalone/homogenized_elasticity/rs_correctors.py000066400000000000000000000224131247364230400304120ustar00rootroot00000000000000# c: 05.05.2008, r: 05.05.2008 from optparse import OptionParser import sys sys.path.append( '.' ) import numpy as nm import sfepy.discrete.fem.periodic as per from sfepy.homogenization.utils import define_box_regions # c: 05.05.2008, r: 05.05.2008 def define_regions( filename ): """Define various subdomain for a given mesh file. This function is called below.""" regions = {} dim = 2 regions['Y'] = 'all' eog = 'cells of group %d' if filename.find( 'osteonT1' ) >= 0: mat_ids = [11, 39, 6, 8, 27, 28, 9, 2, 4, 14, 12, 17, 45, 28, 15] regions['Ym'] = ' +c '.join( (eog % im) for im in mat_ids ) wx = 0.865 wy = 0.499 regions['Yc'] = 'r.Y -c r.Ym' # Sides and corners. regions.update( define_box_regions( 2, (wx, wy) ) ) return dim, regions, mat_ids def get_pars(ts, coor, mode=None, term=None, group_indx=None, mat_ids = [], **kwargs): """Define material parameters: $D_ijkl$ (elasticity), in a given region.""" if mode == 'qp': dim = coor.shape[1] sym = (dim + 1) * dim / 2 m2i = term.region.domain.mat_ids_to_i_gs matrix_igs = [m2i[im] for im in mat_ids] out = {} # in 1e+10 [Pa] lam = 1.7 mu = 0.3 o = nm.array( [1.] * dim + [0.] * (sym - dim), dtype = nm.float64 ) oot = nm.outer( o, o ) out['D'] = lam * oot + mu * nm.diag( o + 1.0 ) for key, val in out.iteritems(): out[key] = nm.tile(val, (coor.shape[0], 1, 1)) for ig, indx in group_indx.iteritems(): if ig not in matrix_igs: # channels out['D'][indx] *= 1e-1 return out ## # Mesh file. filename_mesh = 'meshes/osteonT1_11.mesh' ## # Define regions (subdomains, boundaries) - $Y$, $Y_i$, ... # depending on a mesh used. dim, regions, mat_ids = define_regions( filename_mesh ) functions = { 'get_pars' : (lambda ts, coors, **kwargs: get_pars(ts, coors, mat_ids=mat_ids, **kwargs),), 'match_x_plane' : (per.match_x_plane,), 'match_y_plane' : (per.match_y_plane,), 'match_z_plane' : (per.match_z_plane,), 'match_x_line' : (per.match_x_line,), 'match_y_line' : (per.match_y_line,), } ## # Define fields: 'displacement' in $Y$, # 'pressure_m' in $Y_m$. field_1 = { 'name' : 'displacement', 'dtype' : nm.float64, 'shape' : dim, 'region' : 'Y', 'approx_order' : 1, } ## # Define corrector variables: unknown displaements: uc, test: vc # displacement-like variables: Pi, Pi1, Pi2 variables = { 'uc' : ('unknown field', 'displacement', 0), 'vc' : ('test field', 'displacement', 'uc'), 'Pi' : ('parameter field', 'displacement', 'uc'), 'Pi1' : ('parameter field', 'displacement', None), 'Pi2' : ('parameter field', 'displacement', None), } ## # Periodic boundary conditions. if dim == 3: epbc_10 = { 'name' : 'periodic_x', 'region' : ['Left', 'Right'], 'dofs' : {'uc.all' : 'uc.all'}, 'match' : 'match_x_plane', } epbc_11 = { 'name' : 'periodic_y', 'region' : ['Near', 'Far'], 'dofs' : {'uc.all' : 'uc.all'}, 'match' : 'match_y_plane', } epbc_12 = { 'name' : 'periodic_z', 'region' : ['Top', 'Bottom'], 'dofs' : {'uc.all' : 'uc.all'}, 'match' : 'match_z_plane', } else: epbc_10 = { 'name' : 'periodic_x', 'region' : ['Left', 'Right'], 'dofs' : {'uc.all' : 'uc.all'}, 'match' : 'match_y_line', } epbc_11 = { 'name' : 'periodic_y', 'region' : ['Top', 'Bottom'], 'dofs' : {'uc.all' : 'uc.all'}, 'match' : 'match_x_line', } ## # Dirichlet boundary conditions. ebcs = { 'fixed_u' : ('Corners', {'uc.all' : 0.0}), } ## # Material defining constitutive parameters of the microproblem. material_1 = { 'name' : 'm', 'function' : 'get_pars', } ## # Numerical quadratures for volume (i3 - order 3) integral terms. integral_1 = { 'name' : 'i3', 'order' : 3, } ## # Homogenized coefficients to compute. def set_elastic(variables, ir, ic, mode, pis, corrs_rs): mode2var = {'row' : 'Pi1', 'col' : 'Pi2'} val = pis.states[ir, ic]['uc'] + corrs_rs.states[ir, ic]['uc'] variables[mode2var[mode]].set_data(val) coefs = { 'E' : { 'requires' : ['pis', 'corrs_rs'], 'expression' : 'dw_lin_elastic.i3.Y( m.D, Pi1, Pi2 )', 'set_variables' : set_elastic, }, } all_periodic = ['periodic_%s' % ii for ii in ['x', 'y', 'z'][:dim] ] requirements = { 'pis' : { 'variables' : ['uc'], }, ## # Steady state correctors $\bar{\omega}^{rs}$. 'corrs_rs' : { 'requires' : ['pis'], 'save_variables' : ['uc'], 'ebcs' : ['fixed_u'], 'epbcs' : all_periodic, 'equations' : {'eq' : """dw_lin_elastic.i3.Y( m.D, vc, uc ) = - dw_lin_elastic.i3.Y( m.D, vc, Pi )"""}, 'set_variables' : [('Pi', 'pis', 'uc')], 'save_name' : 'corrs_elastic', 'is_linear' : True, }, } ## # Solvers. solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', # Direct solver. } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 2, 'eps_a' : 1e-8, 'eps_r' : 1e-2, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red' : 0.1, 'ls_red_warp' : 0.001, 'ls_on' : 0.99999, 'ls_min' : 1e-5, 'check' : 0, 'delta' : 1e-6, 'problem' : 'nonlinear', # 'nonlinear' or 'linear' (ignore i_max) } ############################################ # Mini-application below, computing the homogenized elastic coefficients. usage = """%prog [options]""" help = { 'no_pauses' : 'do not make pauses', } ## # c: 05.05.2008, r: 28.11.2008 def main(): import os from sfepy.base.base import spause, output from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.discrete import Problem import sfepy.homogenization.coefs_base as cb parser = OptionParser(usage=usage, version='%prog') parser.add_option('-n', '--no-pauses', action="store_true", dest='no_pauses', default=False, help=help['no_pauses']) options, args = parser.parse_args() if options.no_pauses: def spause(*args): output(*args) nm.set_printoptions( precision = 3 ) spause( r""">>> First, this file will be read in place of an input (problem description) file. Press 'q' to quit the example, press any other key to continue...""" ) required, other = get_standard_keywords() required.remove( 'equations' ) # Use this file as the input file. conf = ProblemConf.from_file( __file__, required, other ) print conf.to_dict().keys() spause( r""">>> ...the read input as a dict (keys only for brevity). ['q'/other key to quit/continue...]""" ) spause( r""">>> Now the input will be used to create a Problem instance. ['q'/other key to quit/continue...]""" ) problem = Problem.from_conf(conf, init_equations=False) # The homogenization mini-apps need the output_dir. output_dir = os.path.join(os.path.split(__file__)[0], 'output') if not os.path.exists(output_dir): os.makedirs(output_dir) problem.output_dir = output_dir print problem spause( r""">>> ...the Problem instance. ['q'/other key to quit/continue...]""" ) spause( r""">>> The homogenized elastic coefficient $E_{ijkl}$ is expressed using $\Pi$ operators, computed now. In fact, those operators are permuted coordinates of the mesh nodes. ['q'/other key to quit/continue...]""" ) req = conf.requirements['pis'] mini_app = cb.ShapeDimDim( 'pis', problem, req ) pis = mini_app() print pis spause( r""">>> ...the $\Pi$ operators. ['q'/other key to quit/continue...]""" ) spause( r""">>> Next, $E_{ijkl}$ needs so called steady state correctors $\bar{\omega}^{rs}$, computed now. ['q'/other key to quit/continue...]""" ) req = conf.requirements['corrs_rs'] save_name = req.get( 'save_name', '' ) name = os.path.join( output_dir, save_name ) mini_app = cb.CorrDimDim('steady rs correctors', problem, req) mini_app.setup_output(save_format='vtk', file_per_var=False) corrs_rs = mini_app( data = {'pis': pis} ) print corrs_rs spause( r""">>> ...the $\bar{\omega}^{rs}$ correctors. The results are saved in: %s.%s Try to display them with: python postproc.py %s.%s ['q'/other key to quit/continue...]""" % (2 * (name, problem.output_format)) ) spause( r""">>> Then the volume of the domain is needed. ['q'/other key to quit/continue...]""" ) volume = problem.evaluate('d_volume.i3.Y( uc )') print volume spause( r""">>> ...the volume. ['q'/other key to quit/continue...]""" ) spause( r""">>> Finally, $E_{ijkl}$ can be computed. ['q'/other key to quit/continue...]""" ) mini_app = cb.CoefSymSym('homogenized elastic tensor', problem, conf.coefs['E']) c_e = mini_app(volume, data={'pis': pis, 'corrs_rs' : corrs_rs}) print r""">>> The homogenized elastic coefficient $E_{ijkl}$, symmetric storage with rows, columns in 11, 22, 12 ordering:""" print c_e if __name__ == '__main__': main() sfepy-release_2015.1/examples/standalone/interactive/000077500000000000000000000000001247364230400227205ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/interactive/__init__.py000066400000000000000000000000001247364230400250170ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/interactive/laplace_shifted_periodic.py000077500000000000000000000116111247364230400302620ustar00rootroot00000000000000#!/usr/bin/env python """ Laplace equation with shifted periodic BCs. Display using:: ./postproc.py laplace_shifted_periodic.vtk --wireframe -b -d'u,plot_warp_scalar,rel_scaling=1' or use the --show option. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm from sfepy.base.base import output from sfepy.discrete import (FieldVariable, Integral, Equation, Equations, Function, Problem) from sfepy.discrete.fem import FEDomain, Field from sfepy.terms import Term from sfepy.discrete.conditions import (Conditions, EssentialBC, LinearCombinationBC) from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton from sfepy.mesh.mesh_generators import gen_block_mesh import sfepy.discrete.fem.periodic as per def run(domain, order): omega = domain.create_region('Omega', 'all') bbox = domain.get_mesh_bounding_box() min_x, max_x = bbox[:, 0] min_y, max_y = bbox[:, 1] eps = 1e-8 * (max_x - min_x) gamma1 = domain.create_region('Gamma1', 'vertices in (x < %.10f)' % (min_x + eps), 'facet') gamma2 = domain.create_region('Gamma2', 'vertices in (x > %.10f)' % (max_x - eps), 'facet') gamma3 = domain.create_region('Gamma3', 'vertices in y < %.10f' % (min_y + eps), 'facet') gamma4 = domain.create_region('Gamma4', 'vertices in y > %.10f' % (max_y - eps), 'facet') field = Field.from_args('fu', nm.float64, 1, omega, approx_order=order) u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') integral = Integral('i', order=2*order) t1 = Term.new('dw_laplace(v, u)', integral, omega, v=v, u=u) eq = Equation('eq', t1) eqs = Equations([eq]) fix1 = EssentialBC('fix1', gamma1, {'u.0' : 0.4}) fix2 = EssentialBC('fix2', gamma2, {'u.0' : 0.0}) def get_shift(ts, coors, region): return nm.ones_like(coors[:, 0]) dof_map_fun = Function('dof_map_fun', per.match_x_line) shift_fun = Function('shift_fun', get_shift) sper = LinearCombinationBC('sper', [gamma3, gamma4], {'u.0' : 'u.0'}, dof_map_fun, 'shifted_periodic', arguments=(shift_fun,)) ls = ScipyDirect({}) pb = Problem('laplace', equations=eqs, auto_solvers=None) pb.time_update(ebcs=Conditions([fix1, fix2]), lcbcs=Conditions([sper])) ev = pb.get_evaluator() nls = Newton({}, lin_solver=ls, fun=ev.eval_residual, fun_grad=ev.eval_tangent_matrix) pb.set_solvers_instances(ls, nls) state = pb.solve() return pb, state usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'dims' : 'dimensions of the block [default: %default]', 'centre' : 'centre of the block [default: %default]', 'shape' : 'numbers of vertices along each axis [default: %default]', 'show' : 'show the results figure', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-d', '--dims', metavar='dims', action='store', dest='dims', default='[1.0, 1.0]', help=helps['dims']) parser.add_option('-c', '--centre', metavar='centre', action='store', dest='centre', default='[0.0, 0.0]', help=helps['centre']) parser.add_option('-s', '--shape', metavar='shape', action='store', dest='shape', default='[11, 11]', help=helps['shape']) parser.add_option('', '--show', action="store_true", dest='show', default=False, help=helps['show']) (options, args) = parser.parse_args() dims = nm.array(eval(options.dims), dtype=nm.float64) centre = nm.array(eval(options.centre), dtype=nm.float64) shape = nm.array(eval(options.shape), dtype=nm.int32) output('dimensions:', dims) output('centre: ', centre) output('shape: ', shape) mesh = gen_block_mesh(dims, shape, centre, name='block-fem') fe_domain = FEDomain('domain', mesh) pb, state = run(fe_domain, 1) pb.save_state('laplace_shifted_periodic.vtk', state) if options.show: from sfepy.postprocess.viewer import Viewer from sfepy.postprocess.domain_specific import DomainSpecificPlot view = Viewer('laplace_shifted_periodic.vtk') view(rel_scaling=1, domain_specific={'u' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1'])}, is_scalar_bar=True, is_wireframe=True, opacity=0.3) if __name__ == '__main__': main() sfepy-release_2015.1/examples/standalone/interactive/linear_elasticity.py000077500000000000000000000056771247364230400270200ustar00rootroot00000000000000#!/usr/bin/env python from optparse import OptionParser import numpy as nm import sys sys.path.append('.') from sfepy.base.base import IndexedStruct from sfepy.discrete import (FieldVariable, Material, Integral, Function, Equation, Equations, Problem) from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.terms import Term from sfepy.discrete.conditions import Conditions, EssentialBC from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton from sfepy.postprocess.viewer import Viewer def shift_u_fun(ts, coors, bc=None, problem=None, shift=0.0): """ Define a displacement depending on the y coordinate. """ val = shift * coors[:,1]**2 return val usage = """%prog [options]""" help = { 'show' : 'show the results figure', } def main(): from sfepy import data_dir parser = OptionParser(usage=usage, version='%prog') parser.add_option('-s', '--show', action="store_true", dest='show', default=False, help=help['show']) options, args = parser.parse_args() mesh = Mesh.from_file(data_dir + '/meshes/2d/rectangle_tri.mesh') domain = FEDomain('domain', mesh) min_x, max_x = domain.get_mesh_bounding_box()[:,0] eps = 1e-8 * (max_x - min_x) omega = domain.create_region('Omega', 'all') gamma1 = domain.create_region('Gamma1', 'vertices in x < %.10f' % (min_x + eps), 'facet') gamma2 = domain.create_region('Gamma2', 'vertices in x > %.10f' % (max_x - eps), 'facet') field = Field.from_args('fu', nm.float64, 'vector', omega, approx_order=2) u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') m = Material('m', lam=1.0, mu=1.0) f = Material('f', val=[[0.02], [0.01]]) integral = Integral('i', order=3) t1 = Term.new('dw_lin_elastic_iso(m.lam, m.mu, v, u)', integral, omega, m=m, v=v, u=u) t2 = Term.new('dw_volume_lvf(f.val, v)', integral, omega, f=f, v=v) eq = Equation('balance', t1 + t2) eqs = Equations([eq]) fix_u = EssentialBC('fix_u', gamma1, {'u.all' : 0.0}) bc_fun = Function('shift_u_fun', shift_u_fun, extra_args={'shift' : 0.01}) shift_u = EssentialBC('shift_u', gamma2, {'u.0' : bc_fun}) ls = ScipyDirect({}) nls_status = IndexedStruct() nls = Newton({}, lin_solver=ls, status=nls_status) pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls) pb.save_regions_as_groups('regions') pb.time_update(ebcs=Conditions([fix_u, shift_u])) vec = pb.solve() print nls_status pb.save_state('linear_elasticity.vtk', vec) if options.show: view = Viewer('linear_elasticity.vtk') view(vector_mode='warp_norm', rel_scaling=2, is_scalar_bar=True, is_wireframe=True) if __name__ == '__main__': main() sfepy-release_2015.1/examples/standalone/interactive/modal_analysis.py000077500000000000000000000232341247364230400263000ustar00rootroot00000000000000#!/usr/bin/env python """ Modal analysis of a linear elastic block in 2D or 3D. The dimension of the problem is determined by the length of the vector in ``--dims`` option. The default material properties correspond to aluminium in the following units: - length: m - mass: kg - stiffness / stress: Pa - density: kg / m^3 Examples -------- - Run with the default arguments, show results (color = strain):: python examples/standalone/interactive/modal_analysis.py --show - Clamp bottom surface of the domain, show 9 eigen-shapes:: python examples/standalone/interactive/modal_analysis.py -b clamped -n 9 --show - Increase mesh resolution:: python examples/standalone/interactive/modal_analysis.py -s 31,31 -n 9 --show - Use 3D domain:: python examples/standalone/interactive/modal_analysis.py -d 1,1,1 -c 0,0,0 -s 8,8,8 --show - Change the eigenvalue problem solver to LOBPCG:: python examples/standalone/interactive/modal_analysis.py --solver="eig.scipy_lobpcg,i_max:100,largest:False" --show See :mod:`sfepy.solvers.eigen` for available solvers. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm import scipy.sparse.linalg as sla from sfepy.base.base import assert_, output, Struct from sfepy.discrete import (FieldVariable, Material, Integral, Integrals, Equation, Equations, Problem) from sfepy.discrete.fem import FEDomain, Field from sfepy.terms import Term from sfepy.discrete.conditions import Conditions, EssentialBC from sfepy.mechanics.matcoefs import stiffness_from_youngpoisson from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.solvers import Solver usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'dims' : 'dimensions of the block [default: %default]', 'centre' : 'centre of the block [default: %default]', 'shape' : 'numbers of vertices along each axis [default: %default]', 'bc_kind' : 'kind of Dirichlet boundary conditions on the bottom surface, one of:' ' free, clamped [default: %default]', 'young' : "the Young's modulus [default: %default]", 'poisson' : "the Poisson's ratio [default: %default]", 'density' : "the material density [default: %default]", 'order' : 'displacement field approximation order [default: %default]', 'n_eigs' : 'the number of eigenvalues to compute [default: %default]', 'solver' : 'the eigenvalue problem solver to use. It should be given' ' as a comma-separated list: solver_kind,option0:value0,option1:value1,...' ' [default: %default]', 'show' : 'show the results figure', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-d', '--dims', metavar='dims', action='store', dest='dims', default='[1.0, 1.0]', help=helps['dims']) parser.add_option('-c', '--centre', metavar='centre', action='store', dest='centre', default='[0.0, 0.0]', help=helps['centre']) parser.add_option('-s', '--shape', metavar='shape', action='store', dest='shape', default='[11, 11]', help=helps['shape']) parser.add_option('-b', '--bc-kind', metavar='kind', action='store', dest='bc_kind', choices=['free', 'clamped'], default='free', help=helps['bc_kind']) parser.add_option('--young', metavar='float', type=float, action='store', dest='young', default=6.80e+10, help=helps['young']) parser.add_option('--poisson', metavar='float', type=float, action='store', dest='poisson', default=0.36, help=helps['poisson']) parser.add_option('--density', metavar='float', type=float, action='store', dest='density', default=2700.0, help=helps['density']) parser.add_option('--order', metavar='int', type=int, action='store', dest='order', default=1, help=helps['order']) parser.add_option('-n', '--n-eigs', metavar='int', type=int, action='store', dest='n_eigs', default=6, help=helps['order']) parser.add_option('', '--solver', metavar='solver', action='store', dest='solver', default="eig.scipy,method:'eigh',tol:1e-5,maxiter:1000", help=helps['solver']) parser.add_option('', '--show', action="store_true", dest='show', default=False, help=helps['show']) options, args = parser.parse_args() assert_((0.0 < options.poisson < 0.5), "Poisson's ratio must be in ]0, 0.5[!") assert_((0 < options.order), 'displacement approximation order must be at least 1!') dims = nm.array(eval(options.dims), dtype=nm.float64) dim = len(dims) centre = nm.array(eval(options.centre), dtype=nm.float64)[:dim] shape = nm.array(eval(options.shape), dtype=nm.int32)[:dim] aux = options.solver.split(',') kwargs = {} for option in aux[1:]: key, val = option.split(':') kwargs[key.strip()] = eval(val) eig_conf = Struct(name='evp', kind=aux[0], **kwargs) output('dimensions:', dims) output('centre: ', centre) output('shape: ', shape) output('using values:') output(" Young's modulus:", options.young) output(" Poisson's ratio:", options.poisson) output(' density:', options.density) output('requested %d eigenvalues' % options.n_eigs) output('using eigenvalue problem solver:', eig_conf.kind) output.level += 1 for key, val in kwargs.iteritems(): output('%s: %r' % (key, val)) output.level -= 1 eig_solver = Solver.any_from_conf(eig_conf) # Build the problem definition. mesh = gen_block_mesh(dims, shape, centre, name='mesh') domain = FEDomain('domain', mesh) bbox = domain.get_mesh_bounding_box() min_y, max_y = bbox[:, 1] eps = 1e-8 * (max_y - min_y) omega = domain.create_region('Omega', 'all') bottom = domain.create_region('Bottom', 'vertices in (y < %.10f)' % (min_y + eps), 'facet') field = Field.from_args('fu', nm.float64, 'vector', omega, approx_order=options.order) u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') mtx_d = stiffness_from_youngpoisson(dim, options.young, options.poisson) m = Material('m', D=mtx_d, rho=options.density) integral = Integral('i', order=2*options.order) t1 = Term.new('dw_lin_elastic(m.D, v, u)', integral, omega, m=m, v=v, u=u) t2 = Term.new('dw_volume_dot(m.rho, v, u)', integral, omega, m=m, v=v, u=u) eq1 = Equation('stiffness', t1) eq2 = Equation('mass', t2) lhs_eqs = Equations([eq1, eq2]) pb = Problem('modal', equations=lhs_eqs) if options.bc_kind == 'free': pb.time_update() n_rbm = dim * (dim + 1) / 2 else: fixed_b = EssentialBC('FixedB', bottom, {'u.all' : 0.0}) pb.time_update(ebcs=Conditions([fixed_b])) n_rbm = 0 pb.update_materials() # Assemble stiffness and mass matrices. mtx_k = eq1.evaluate(mode='weak', dw_mode='matrix', asm_obj=pb.mtx_a) mtx_m = mtx_k.copy() mtx_m.data[:] = 0.0 mtx_m = eq2.evaluate(mode='weak', dw_mode='matrix', asm_obj=mtx_m) try: eigs, svecs = eig_solver(mtx_k, mtx_m, options.n_eigs + n_rbm, eigenvectors=True) except sla.ArpackNoConvergence as ee: eigs = ee.eigenvalues svecs = ee.eigenvectors output('only %d eigenvalues converged!' % len(eigs)) output('%d eigenvalues converged (%d ignored as rigid body modes)' % (len(eigs), n_rbm)) eigs = eigs[n_rbm:] svecs = svecs[:, n_rbm:] output('eigenvalues:', eigs) output('eigen-frequencies:', nm.sqrt(eigs)) # Make full eigenvectors (add DOFs fixed by boundary conditions). variables = pb.get_variables() vecs = nm.empty((variables.di.ptr[-1], svecs.shape[1]), dtype=nm.float64) for ii in xrange(svecs.shape[1]): vecs[:, ii] = variables.make_full_vec(svecs[:, ii]) # Save the eigenvectors. out = {} state = pb.create_state() for ii in xrange(eigs.shape[0]): state.set_full(vecs[:, ii]) aux = state.create_output_dict() strain = pb.evaluate('ev_cauchy_strain.i.Omega(u)', integrals=Integrals([integral]), mode='el_avg', verbose=False) out['u%03d' % ii] = aux.popitem()[1] out['strain%03d' % ii] = Struct(mode='cell', data=strain) pb.save_state('eigenshapes.vtk', out=out) pb.save_regions_as_groups('regions') if len(eigs) and options.show: # Show the solution. If the approximation order is greater than 1, the # extra DOFs are simply thrown away. from sfepy.postprocess.viewer import Viewer from sfepy.postprocess.domain_specific import DomainSpecificPlot scaling = 0.05 * dims.max() / nm.abs(vecs).max() ds = {} for ii in xrange(eigs.shape[0]): pd = DomainSpecificPlot('plot_displacements', ['rel_scaling=%s' % scaling, 'color_kind="tensors"', 'color_name="strain%03d"' % ii]) ds['u%03d' % ii] = pd view = Viewer('eigenshapes.vtk') view(domain_specific=ds, only_names=sorted(ds.keys()), is_scalar_bar=False, is_wireframe=True) if __name__ == '__main__': main() sfepy-release_2015.1/examples/standalone/live_plot/000077500000000000000000000000001247364230400224005ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/live_plot/__init__.py000066400000000000000000000000001247364230400244770ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/live_plot/live_plot.py000066400000000000000000000026211247364230400247500ustar00rootroot00000000000000import os import sys sys.path.append( '.' ) import numpy as nm from sfepy.base.base import output, pause from sfepy.base.log import Log def main(): cwd = os.path.split(os.path.join(os.getcwd(), __file__))[0] log = Log((['sin(x)', 'cos(x)'], ['exp(x)']), yscales=['linear', 'log'], xlabels=['angle', None], ylabels=[None, 'a function'], log_filename=os.path.join(cwd, 'live_plot.log')) log2 = Log([['x^3']], yscales=['linear'], xlabels=['x'], ylabels=['a cubic function'], log_filename=os.path.join(cwd, 'live_plot2.log')) added = 0 for x in nm.linspace(0, 4.0 * nm.pi, 200): output('x: ', x) if x < (2.0 * nm.pi): log(nm.sin(x), nm.cos(x), nm.exp(x), x = [x, None]) else: if added: log(nm.sin(x), nm.cos(x), nm.exp(x), x**2, x=[x, None, x]) else: log.plot_vlines(color='r', linewidth=2) log.add_group(['x^2'], 'linear', 'new x', 'square', formats=['%+g']) added += 1 if (added == 20) or (added == 50): log.plot_vlines([2], color='g', linewidth=2) log2(x*x*x, x=[x]) print log print log2 pause() log(finished=True) log2(finished=True) if __name__ == '__main__': main() sfepy-release_2015.1/examples/standalone/thermal_electric/000077500000000000000000000000001247364230400237115ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/thermal_electric/__init__.py000066400000000000000000000000001247364230400260100ustar00rootroot00000000000000sfepy-release_2015.1/examples/standalone/thermal_electric/thermal_electric.py000077500000000000000000000074151247364230400276030ustar00rootroot00000000000000#!/usr/bin/env python """ First solve the stationary electric conduction problem. Then use its results to solve the evolutionary heat conduction problem. Run this example as on a command line:: $ python /thermal_electric.py """ import sys sys.path.append( '.' ) import os from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' # Time stepping for the heat conduction problem. t0 = 0.0 t1 = 0.5 n_step = 11 # Material parameters. specific_heat = 1.2 ########## cwd = os.path.split(os.path.join(os.getcwd(), __file__))[0] options = { 'absolute_mesh_path' : True, 'output_dir' : os.path.join(cwd, 'output') } regions = { 'Omega' : 'all', 'Omega1' : 'cells of group 1', 'Omega2' : 'cells of group 2', 'Omega2_Surface': ('r.Omega1 *v r.Omega2', 'facet'), 'Left' : ('vertices in (x < %f)' % -0.4999, 'facet'), 'Right' : ('vertices in (x > %f)' % 0.4999, 'facet'), } materials = { 'm' : ({ 'thermal_conductivity' : 2.0, 'electric_conductivity' : 1.5, },), } # The fields use the same approximation, so a single field could be used # instead. fields = { 'temperature': ('real', 1, 'Omega', 1), 'potential' : ('real', 1, 'Omega', 1), } variables = { 'T' : ('unknown field', 'temperature', 0, 1), 's' : ('test field', 'temperature', 'T'), 'phi' : ('unknown field', 'potential', 1), 'psi' : ('test field', 'potential', 'phi'), 'phi_known' : ('parameter field', 'potential', '(set-to-None)'), } ics = { 'ic' : ('Omega', {'T.0' : 0.0}), } ebcs = { 'left' : ('Left', {'T.0' : 0.0, 'phi.0' : 0.0}), 'right' : ('Right', {'T.0' : 2.0, 'phi.0' : 0.0}), 'inside' : ('Omega2_Surface', {'phi.0' : 'set_electric_bc'}), } def set_electric_bc(coor): y = coor[:,1] ymin, ymax = y.min(), y.max() val = 2.0 * (((y - ymin) / (ymax - ymin)) - 0.5) return val functions = { 'set_electric_bc' : (lambda ts, coor, bc, problem, **kwargs: set_electric_bc(coor),), } equations = { '2' : """%.12e * dw_volume_dot.2.Omega( s, dT/dt ) + dw_laplace.2.Omega( m.thermal_conductivity, s, T ) = dw_electric_source.2.Omega( m.electric_conductivity, s, phi_known ) """ % specific_heat, '1' : """dw_laplace.2.Omega( m.electric_conductivity, psi, phi ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, 'problem' : 'nonlinear', }), 'ts' : ('ts.simple', { 't0' : t0, 't1' : t1, 'dt' : None, 'n_step' : n_step, # has precedence over dt! }), } def main(): from sfepy.base.base import output from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.discrete import Problem output.prefix = 'therel:' required, other = get_standard_keywords() conf = ProblemConf.from_file(__file__, required, other) problem = Problem.from_conf(conf, init_equations=False) # Setup output directory according to options above. problem.setup_default_output() # First solve the stationary electric conduction problem. problem.set_equations({'eq' : conf.equations['1']}) problem.time_update() state_el = problem.solve() problem.save_state(problem.get_output_name(suffix = 'el'), state_el) # Then solve the evolutionary heat conduction problem, using state_el. problem.set_equations({'eq' : conf.equations['2']}) phi_var = problem.get_variables()['phi_known'] phi_var.set_data(state_el()) time_solver = problem.get_time_solver() time_solver() output('results saved in %s' % problem.get_output_name(suffix = '*')) if __name__ == '__main__': main() sfepy-release_2015.1/examples/thermo_elasticity/000077500000000000000000000000001247364230400220035ustar00rootroot00000000000000sfepy-release_2015.1/examples/thermo_elasticity/__init__.py000066400000000000000000000000001247364230400241020ustar00rootroot00000000000000sfepy-release_2015.1/examples/thermo_elasticity/thermo_elasticity.py000066400000000000000000000073541247364230400261160ustar00rootroot00000000000000r""" Thermo-elasticity with a given temperature distribution. Uses `dw_biot` term with an isotropic coefficient for thermo-elastic coupling. For given body temperature :math:`T` and background temperature :math:`T_0` find :math:`\ul{u}` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} (T - T_0)\ \alpha_{ij} e_{ij}(\ul{v}) = 0 \;, \quad \forall \ul{v} \;, where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;, \\ \alpha_{ij} = (3 \lambda + 2 \mu) \alpha \delta_{ij} and :math:`\alpha` is the thermal expansion coefficient. """ import numpy as np from sfepy.base.base import Struct from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy.mechanics.tensors import get_von_mises_stress from sfepy import data_dir # Material parameters. lam = 10.0 mu = 5.0 thermal_expandability = 1.25e-5 T0 = 20.0 # Background temperature. filename_mesh = data_dir + '/meshes/3d/block.mesh' def get_temperature_load(ts, coors, region=None): """ Temperature load depends on the `x` coordinate. """ x = coors[:, 0] return (x - x.min())**2 - T0 def post_process(out, pb, state, extend=False): """ Compute derived quantities: strain, stresses. Store also the loading temperature. """ ev = pb.evaluate strain = ev('ev_cauchy_strain.2.Omega( u )', mode='el_avg') out['cauchy_strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) e_stress = ev('ev_cauchy_stress.2.Omega( solid.D, u )', mode='el_avg') out['elastic_stress'] = Struct(name='output_data', mode='cell', data=e_stress, dofs=None) t_stress = ev('ev_biot_stress.2.Omega( solid.alpha, T )', mode='el_avg') out['thermal_stress'] = Struct(name='output_data', mode='cell', data=t_stress, dofs=None) out['total_stress'] = Struct(name='output_data', mode='cell', data=e_stress + t_stress, dofs=None) out['von_mises_stress'] = aux = out['total_stress'].copy() vms = get_von_mises_stress(aux.data.squeeze()) vms.shape = (vms.shape[0], 1, 1, 1) out['von_mises_stress'].data = vms val = pb.get_variables()['T']() val.shape = (val.shape[0], 1) out['T'] = Struct(name='output_data', mode='vertex', data=val + T0, dofs=None) return out options = { 'post_process_hook' : 'post_process', 'nls' : 'newton', 'ls' : 'ls', } functions = { 'get_temperature_load' : (get_temperature_load,), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), } fields = { 'displacement': ('real', 3, 'Omega', 1), 'temperature': ('real', 1, 'Omega', 1), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'T' : ('parameter field', 'temperature', {'setter' : 'get_temperature_load'}), } ebcs = { 'fix_u' : ('Left', {'u.all' : 0.0}), } eye_sym = np.array([[1], [1], [1], [0], [0], [0]], dtype=np.float64) materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=lam, mu=mu), 'alpha' : (3.0 * lam + 2.0 * mu) * thermal_expandability * eye_sym },), } equations = { 'balance_of_forces' : """dw_lin_elastic.2.Omega( solid.D, v, u ) - dw_biot.2.Omega( solid.alpha, v, T ) = 0""", } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } sfepy-release_2015.1/examples/thermo_elasticity/thermo_elasticity_ess.py000066400000000000000000000054241247364230400267640ustar00rootroot00000000000000r""" Thermo-elasticity with a computed temperature demonstrating equation sequence solver. Uses `dw_biot` term with an isotropic coefficient for thermo-elastic coupling. The equation sequence solver (``'ess'`` in ``solvers``) automatically solves first the temperature distribution and then the elasticity problem with the already computed temperature. Find :math:`\ul{u}`, :math:`T` such that: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) - \int_{\Omega} (T - T_0)\ \alpha_{ij} e_{ij}(\ul{v}) = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. where .. math:: D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} \;, \\ \alpha_{ij} = (3 \lambda + 2 \mu) \alpha \delta_{ij} \;, :math:`T_0` is the background temperature and :math:`\alpha` is the thermal expansion coefficient. Notes ----- The gallery image was produced by (plus proper view settings):: ./postproc.py block.vtk -d'u,plot_displacements,rel_scaling=1000,color_kind="scalars",color_name="T"' --wireframe --only-names=u -b """ import numpy as np from sfepy.mechanics.matcoefs import stiffness_from_lame from sfepy import data_dir # Material parameters. lam = 10.0 mu = 5.0 thermal_expandability = 1.25e-5 T0 = 20.0 # Background temperature. filename_mesh = data_dir + '/meshes/3d/block.mesh' options = { 'ts' : 'ess', 'nls' : 'newton', 'ls' : 'ls', } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -4.99)', 'facet'), 'Right' : ('vertices in (x > 4.99)', 'facet'), 'Bottom' : ('vertices in (z < -0.99)', 'facet'), } fields = { 'displacement': ('real', 3, 'Omega', 1), 'temperature': ('real', 1, 'Omega', 1), } variables = { 'u' : ('unknown field', 'displacement', 0), 'v' : ('test field', 'displacement', 'u'), 'T' : ('unknown field', 'temperature', 1), 's' : ('test field', 'temperature', 'T'), } ebcs = { 'u0' : ('Left', {'u.all' : 0.0}), 't0' : ('Left', {'T.0' : 20.0}), 't2' : ('Bottom', {'T.0' : 0.0}), 't1' : ('Right', {'T.0' : 30.0}), } eye_sym = np.array([[1], [1], [1], [0], [0], [0]], dtype=np.float64) materials = { 'solid' : ({ 'D' : stiffness_from_lame(3, lam=lam, mu=mu), 'alpha' : (3.0 * lam + 2.0 * mu) * thermal_expandability * eye_sym },), } equations = { 'balance_of_forces' : """ + dw_lin_elastic.2.Omega(solid.D, v, u) - dw_biot.2.Omega(solid.alpha, v, T) = 0 """, 'temperature' : """ + dw_laplace.1.Omega(s, T) = 0 """ } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), 'ess' : ('ts.equation_sequence', {}), } sfepy-release_2015.1/extractor.py000077500000000000000000000145731247364230400170370ustar00rootroot00000000000000#!/usr/bin/env python """ Examples -------- $ ./extractor.py -e "p e 0 1999" bone.h5 $ ./extractor.py -e "p e 0 1999" bone.h5 -a $ ./extractor.py -e "p e 0 1999" bone.h5 -o extracted.h5 $ ./extractor.py -e "p e 0 1999" bone.h5 -o extracted.h5 -a """ import os from optparse import OptionParser import sfepy from sfepy.base.base import nm, dict_to_struct, get_default, Struct from sfepy.base.ioutils import get_trunk import sfepy.postprocess.time_history as th def create_problem(filename): from sfepy.discrete import Problem problem = Problem.from_conf_file(filename, init_equations=False, init_solvers=False) return problem def parse_linearization(linearization): out = {} for item in linearization.split(','): key, val = item.split(':') if key == 'eps': val = float(val) elif key in ('min_level', 'max_level'): val = int(val) elif key == 'kind': pass else: raise ValueError('wrong linearization option key! (%s)' % key) out[key] = val return dict_to_struct(out) usage = """%prog [options] [] Extract information from a SfePy multi-time-step results file (HDF5 format) and/or linearize results with stored higher order DOFs. For the linearization, the original input (problem description) file must be specified as the first argument. Use the option --linearization below to override linearization parameters defined in the input file. The linearization forces --dump option, i.e., output to VTK files. """ help = { 'filename' : 'basename of output file(s) [default: ]', 'dump' : 'dump to sequence of VTK files', 'same_dir' : 'store the dumped VTK files in the directory of filename_in', 'linearization' : 'linearization options. Default values apply if neither command' ' line nor input file options are set.' " [default: 'kind:adaptive,min_level:0,max_level:2,eps:1e-2']", 'times' : 'extract and print times of individual time steps', 'from' : 'start dumping from time step ii [default: %default]', 'to' : 'stop dumping at time step ii [default: ]', 'step' : 'use every ii-th step for dumping [default: %default]', 'extract' : 'extract variables according to extraction list.' " Example: 'u n 10 15, p e 0' means variable 'u' in nodes 10, 15" " and variable 'p' in element 0", 'average' : 'average vertex variable into cells ("e" extraction mode)' } def main(): parser = OptionParser(usage=usage, version="%prog " + sfepy.__version__) parser.add_option('-o', '', metavar='filename', action='store', dest='output_filename_trunk', default=None, help=help['filename']) parser.add_option('-d', '--dump', action='store_true', dest='dump', default=False, help=help['dump']) parser.add_option('', '--same-dir', action='store_true', dest='same_dir', default=False, help=help['same_dir']) parser.add_option('-l', '--linearization', metavar='options', action='store', dest='linearization', default=None, help=help['linearization']) parser.add_option('', '--times', action='store_true', dest='times', default=False, help=help['times']) parser.add_option('-f', '--from', type=int, metavar='ii', action='store', dest='step_from', default=0, help=help['from']) parser.add_option('-t', '--to', type=int, metavar='ii', action='store', dest='step_to', default=None, help=help['to']) parser.add_option('-s', '--step', type=int, metavar='ii', action='store', dest='step_by', default=1, help=help['step']) parser.add_option('-e', '--extract', metavar='list', action='store', dest='extract', default=None, help=help['extract']) parser.add_option('-a', '--average', action='store_true', dest='average', default=False, help=help['average']) (options, args) = parser.parse_args() nargs = len(args) if nargs == 1: filename_results = args[0] linearize = False elif nargs == 2: filename_in, filename_results = args linearize = True options.dump = True else: parser.print_help() return if options.times: steps, times, nts, dts = th.extract_times(filename_results) for ii, time in enumerate(times): step = steps[ii] print '%d %e %e %e' % (step, time, nts[ii], dts[ii]) if options.dump: trunk = get_default(options.output_filename_trunk, get_trunk(filename_results)) if options.same_dir: trunk = os.path.join(os.path.dirname(filename_results), os.path.basename(trunk)) args = {} if linearize: problem = create_problem(filename_in) linearization = Struct(kind='adaptive', min_level=0, max_level=2, eps=1e-2) aux = problem.conf.options.get('linearization', None) linearization.update(aux) if options.linearization is not None: aux = parse_linearization(options.linearization) linearization.update(aux) args.update({'fields' : problem.fields, 'linearization' : linearization}) if options.step_to is None: args.update({'step0' : options.step_from}) else: args.update({'steps' : nm.arange(options.step_from, options.step_to + 1, options.step_by, dtype=nm.int)}) th.dump_to_vtk(filename_results, output_filename_trunk=trunk, **args) if options.extract: ths, ts = th.extract_time_history(filename_results, options.extract) if options.average: ths = th.average_vertex_var_in_cells(ths) if options.output_filename_trunk: th.save_time_history(ths, ts, options.output_filename_trunk + '.h5') else: print dict_to_struct(ths, flag=(1, 1, 1)).str_all() if __name__ == '__main__': main() sfepy-release_2015.1/homogen.py000077500000000000000000000022621247364230400164500ustar00rootroot00000000000000#!/usr/bin/env python from optparse import OptionParser import sfepy from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.homogenization.homogen_app import HomogenizationApp usage = """%prog [options] filename_in""" help = { 'filename' : 'basename of output file(s) [default: ]', } def main(): parser = OptionParser(usage=usage, version="%prog " + sfepy.__version__) parser.add_option("-o", "", metavar='filename', action="store", dest="output_filename_trunk", default=None, help=help['filename']) (options, args) = parser.parse_args() if (len(args) == 1): filename_in = args[0] else: parser.print_help(), return required, other = get_standard_keywords() required.remove('equations') conf = ProblemConf.from_file(filename_in, required, other) app = HomogenizationApp(conf, options, 'homogen:') opts = conf.options if hasattr(opts, 'parametric_hook'): # Parametric study. parametric_hook = conf.get_function(opts.parametric_hook) app.parametrize(parametric_hook) app() if __name__ == '__main__': main() sfepy-release_2015.1/meshes/000077500000000000000000000000001247364230400157215ustar00rootroot00000000000000sfepy-release_2015.1/meshes/2d/000077500000000000000000000000001247364230400162265ustar00rootroot00000000000000sfepy-release_2015.1/meshes/2d/acoustic_wg_mid.vtk000066400000000000000000000205731247364230400221230ustar00rootroot00000000000000# vtk DataFile Version 2.0 step 0 time 0.000000e+00 normalized time 0.000000e+00, generated by convert_mesh.py ASCII DATASET UNSTRUCTURED_GRID POINTS 143 float 0.000000e+00 0.000000e+00 0.000000e+00 2.500000e-02 0.000000e+00 0.000000e+00 5.000000e-02 0.000000e+00 0.000000e+00 7.500000e-02 0.000000e+00 0.000000e+00 1.000000e-01 0.000000e+00 0.000000e+00 1.250000e-01 0.000000e+00 0.000000e+00 1.500000e-01 0.000000e+00 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282 510 2 171 292 510 8 sfepy-release_2015.1/meshes/2d/special/circle_in_square.geo000066400000000000000000000011121247364230400236440ustar00rootroot00000000000000a = 1; r = 0.6; out = 0.2; in = 0.08; Point(1) = {-a,-a,0, out}; Point(2) = {-a,a,0, out}; Point(3) = {a, a,0, out}; Point(4) = {a,-a,0, out}; Point(5) = {0, 0, 0, in}; Point(6) = {r, 0, 0, in}; Point(7) = {0, r, 0, in}; Point(8) = {-r, 0, 0, in}; Point(9) = {0, -r, 0, in}; Line(1) = {1,4}; Line(2) = {4,3}; Line(3) = {3,2}; Line(4) = {2,1}; Circle(5) = {6,5,7}; Circle(6) = {7,5,8}; Circle(7) = {8,5,9}; Circle(8) = {9,5,6}; Line Loop(5) = {2,3,4,1}; Line Loop(50) = {5,6,7,8}; Plane Surface(1) = {5,50}; Plane Surface(2) = {50}; Physical Surface(1) = {1}; Physical Surface(2) = {2}; sfepy-release_2015.1/meshes/2d/special/circle_in_square.mesh000066400000000000000000002007431247364230400240410ustar00rootroot00000000000000MeshVersionFormatted 1 Dimension 2 Vertices 1102 5.00000000e-01 -5.00000000e-01 0 5.00000000e-01 5.00000000e-01 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3.750000e-01 2.000000e-01 1.800000e-01 3.750000e-01 2.000000e-01 1.600000e-01 3.750000e-01 2.000000e-01 1.400000e-01 3.500000e-01 2.000000e-01 1.800000e-01 3.500000e-01 2.000000e-01 1.600000e-01 3.500000e-01 2.000000e-01 1.400000e-01 3.250000e-01 2.000000e-01 1.800000e-01 3.250000e-01 2.000000e-01 1.600000e-01 3.250000e-01 2.000000e-01 1.400000e-01 CELLS 1392 12528 8 143 144 152 151 183 186 213 210 8 183 186 213 210 184 187 214 211 8 184 187 214 211 185 188 215 212 8 144 145 153 152 186 189 216 213 8 186 189 216 213 187 190 217 214 8 187 190 217 214 188 191 218 215 8 145 146 154 153 189 192 219 216 8 189 192 219 216 190 193 220 217 8 190 193 220 217 191 194 221 218 8 146 147 155 154 192 195 222 219 8 192 195 222 219 193 196 223 220 8 193 196 223 220 194 197 224 221 8 147 148 156 155 195 198 225 222 8 195 198 225 222 196 199 226 223 8 196 199 226 223 197 200 227 224 8 148 149 157 156 198 201 228 225 8 198 201 228 225 199 202 229 226 8 199 202 229 226 200 203 230 227 8 149 150 158 157 201 204 231 228 8 201 204 231 228 202 205 232 229 8 202 205 232 229 203 206 233 230 8 150 0 13 158 204 207 234 231 8 204 207 234 231 205 208 235 232 8 205 208 235 232 206 209 236 233 8 151 152 160 159 210 213 240 237 8 210 213 240 237 211 214 241 238 8 211 214 241 238 212 215 242 239 8 152 153 161 160 213 216 243 240 8 213 216 243 240 214 217 244 241 8 214 217 244 241 215 218 245 242 8 153 154 162 161 216 219 246 243 8 216 219 246 243 217 220 247 244 8 217 220 247 244 218 221 248 245 8 154 155 163 162 219 222 249 246 8 219 222 249 246 220 223 250 247 8 220 223 250 247 221 224 251 248 8 155 156 164 163 222 225 252 249 8 222 225 252 249 223 226 253 250 8 223 226 253 250 224 227 254 251 8 156 157 165 164 225 228 255 252 8 225 228 255 252 226 229 256 253 8 226 229 256 253 227 230 257 254 8 157 158 166 165 228 231 258 255 8 228 231 258 255 229 232 259 256 8 229 232 259 256 230 233 260 257 8 158 13 26 166 231 234 261 258 8 231 234 261 258 232 235 262 259 8 232 235 262 259 233 236 263 260 8 159 160 168 167 237 240 267 264 8 237 240 267 264 238 241 268 265 8 238 241 268 265 239 242 269 266 8 160 161 169 168 240 243 270 267 8 240 243 270 267 241 244 271 268 8 241 244 271 268 242 245 272 269 8 161 162 170 169 243 246 273 270 8 243 246 273 270 244 247 274 271 8 244 247 274 271 245 248 275 272 8 162 163 171 170 246 249 276 273 8 246 249 276 273 247 250 277 274 8 247 250 277 274 248 251 278 275 8 163 164 172 171 249 252 279 276 8 249 252 279 276 250 253 280 277 8 250 253 280 277 251 254 281 278 8 164 165 173 172 252 255 282 279 8 252 255 282 279 253 256 283 280 8 253 256 283 280 254 257 284 281 8 165 166 174 173 255 258 285 282 8 255 258 285 282 256 259 286 283 8 256 259 286 283 257 260 287 284 8 166 26 39 174 258 261 288 285 8 258 261 288 285 259 262 289 286 8 259 262 289 286 260 263 290 287 8 167 168 176 175 264 267 294 291 8 264 267 294 291 265 268 295 292 8 265 268 295 292 266 269 296 293 8 168 169 177 176 267 270 297 294 8 267 270 297 294 268 271 298 295 8 268 271 298 295 269 272 299 296 8 169 170 178 177 270 273 300 297 8 270 273 300 297 271 274 301 298 8 271 274 301 298 272 275 302 299 8 170 171 179 178 273 276 303 300 8 273 276 303 300 274 277 304 301 8 274 277 304 301 275 278 305 302 8 171 172 180 179 276 279 306 303 8 276 279 306 303 277 280 307 304 8 277 280 307 304 278 281 308 305 8 172 173 181 180 279 282 309 306 8 279 282 309 306 280 283 310 307 8 280 283 310 307 281 284 311 308 8 173 174 182 181 282 285 312 309 8 282 285 312 309 283 286 313 310 8 283 286 313 310 284 287 314 311 8 174 39 52 182 285 288 315 312 8 285 288 315 312 286 289 316 313 8 286 289 316 313 287 290 317 314 8 0 1 14 13 207 320 382 234 8 207 320 382 234 208 321 383 235 8 208 321 383 235 209 322 384 236 8 209 322 384 236 318 323 385 380 8 318 323 385 380 319 324 386 381 8 1 2 15 14 320 325 387 382 8 320 325 387 382 321 326 388 383 8 321 326 388 383 322 327 389 384 8 322 327 389 384 323 328 390 385 8 323 328 390 385 324 329 391 386 8 2 3 16 15 325 330 392 387 8 325 330 392 387 326 331 393 388 8 326 331 393 388 327 332 394 389 8 327 332 394 389 328 333 395 390 8 328 333 395 390 329 334 396 391 8 3 4 17 16 330 335 397 392 8 330 335 397 392 331 336 398 393 8 331 336 398 393 332 337 399 394 8 332 337 399 394 333 338 400 395 8 333 338 400 395 334 339 401 396 8 4 5 18 17 335 340 402 397 8 335 340 402 397 336 341 403 398 8 336 341 403 398 337 342 404 399 8 337 342 404 399 338 343 405 400 8 338 343 405 400 339 344 406 401 8 5 6 19 18 340 345 407 402 8 340 345 407 402 341 346 408 403 8 341 346 408 403 342 347 409 404 8 342 347 409 404 343 348 410 405 8 343 348 410 405 344 349 411 406 8 6 7 20 19 345 350 412 407 8 345 350 412 407 346 351 413 408 8 346 351 413 408 347 352 414 409 8 347 352 414 409 348 353 415 410 8 348 353 415 410 349 354 416 411 8 7 8 21 20 350 355 417 412 8 350 355 417 412 351 356 418 413 8 351 356 418 413 352 357 419 414 8 352 357 419 414 353 358 420 415 8 353 358 420 415 354 359 421 416 8 8 9 22 21 355 360 422 417 8 355 360 422 417 356 361 423 418 8 356 361 423 418 357 362 424 419 8 357 362 424 419 358 363 425 420 8 358 363 425 420 359 364 426 421 8 9 10 23 22 360 365 427 422 8 360 365 427 422 361 366 428 423 8 361 366 428 423 362 367 429 424 8 362 367 429 424 363 368 430 425 8 363 368 430 425 364 369 431 426 8 10 11 24 23 365 370 432 427 8 365 370 432 427 366 371 433 428 8 366 371 433 428 367 372 434 429 8 367 372 434 429 368 373 435 430 8 368 373 435 430 369 374 436 431 8 11 12 25 24 370 375 437 432 8 370 375 437 432 371 376 438 433 8 371 376 438 433 372 377 439 434 8 372 377 439 434 373 378 440 435 8 373 378 440 435 374 379 441 436 8 13 14 27 26 234 382 444 261 8 234 382 444 261 235 383 445 262 8 235 383 445 262 236 384 446 263 8 236 384 446 263 380 385 447 442 8 380 385 447 442 381 386 448 443 8 14 15 28 27 382 387 449 444 8 382 387 449 444 383 388 450 445 8 383 388 450 445 384 389 451 446 8 384 389 451 446 385 390 452 447 8 385 390 452 447 386 391 453 448 8 15 16 29 28 387 392 454 449 8 387 392 454 449 388 393 455 450 8 388 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2.039284e-02 1.357874e-02 1.519810e-01 0 2.039284e-02 1.357874e-02 1.579810e-01 0 1.733759e-02 1.731063e-02 1.339810e-01 0 1.733759e-02 1.731063e-02 1.399810e-01 0 1.733759e-02 1.731063e-02 1.459810e-01 0 1.733759e-02 1.731063e-02 1.519810e-01 0 1.733759e-02 1.731063e-02 1.579810e-01 0 1.453564e-02 1.451303e-02 1.339810e-01 0 1.453564e-02 1.451303e-02 1.399810e-01 0 1.453564e-02 1.451303e-02 1.459810e-01 0 1.453564e-02 1.451303e-02 1.519810e-01 0 1.453564e-02 1.451303e-02 1.579810e-01 0 1.173368e-02 1.171543e-02 1.339810e-01 0 1.173368e-02 1.171543e-02 1.399810e-01 0 1.173368e-02 1.171543e-02 1.459810e-01 0 1.173368e-02 1.171543e-02 1.519810e-01 0 1.173368e-02 1.171543e-02 1.579810e-01 0 1.990026e-02 4.157443e-03 1.339810e-01 0 1.990026e-02 4.157443e-03 1.399810e-01 0 1.990026e-02 4.157443e-03 1.459810e-01 0 1.990026e-02 4.157443e-03 1.519810e-01 0 1.990026e-02 4.157443e-03 1.579810e-01 0 1.901715e-02 7.877585e-03 1.339810e-01 0 1.901715e-02 7.877585e-03 1.399810e-01 0 1.901715e-02 7.877585e-03 1.459810e-01 0 1.901715e-02 7.877585e-03 1.519810e-01 0 1.901715e-02 7.877585e-03 1.579810e-01 0 1.705021e-02 1.116027e-02 1.339810e-01 0 1.705021e-02 1.116027e-02 1.399810e-01 0 1.705021e-02 1.116027e-02 1.459810e-01 0 1.705021e-02 1.116027e-02 1.519810e-01 0 1.705021e-02 1.116027e-02 1.579810e-01 0 1.424848e-02 8.662498e-03 1.339810e-01 0 1.424848e-02 8.662498e-03 1.399810e-01 0 1.424848e-02 8.662498e-03 1.459810e-01 0 1.424848e-02 8.662498e-03 1.519810e-01 0 1.424848e-02 8.662498e-03 1.579810e-01 0 1.173978e-02 4.926328e-03 1.339810e-01 0 1.173978e-02 4.926328e-03 1.399810e-01 0 1.173978e-02 4.926328e-03 1.459810e-01 0 1.173978e-02 4.926328e-03 1.519810e-01 0 1.173978e-02 4.926328e-03 1.579810e-01 0 1.611091e-02 3.982934e-03 1.339810e-01 0 1.611091e-02 3.982934e-03 1.399810e-01 0 1.611091e-02 3.982934e-03 1.459810e-01 0 1.611091e-02 3.982934e-03 1.519810e-01 0 1.611091e-02 3.982934e-03 1.579810e-01 0 1.647025e-02 6.847967e-03 1.339810e-01 0 1.647025e-02 6.847967e-03 1.399810e-01 0 1.647025e-02 6.847967e-03 1.459810e-01 0 1.647025e-02 6.847967e-03 1.519810e-01 0 1.647025e-02 6.847967e-03 1.579810e-01 0 3.064880e-03 7.143446e-03 1.339810e-01 0 3.064880e-03 7.143446e-03 1.399810e-01 0 3.064880e-03 7.143446e-03 1.459810e-01 0 3.064880e-03 7.143446e-03 1.519810e-01 0 3.064880e-03 7.143446e-03 1.579810e-01 0 0.000000e+00 8.166667e-03 1.339810e-01 0 0.000000e+00 8.166667e-03 1.399810e-01 0 0.000000e+00 8.166667e-03 1.459810e-01 0 0.000000e+00 8.166667e-03 1.519810e-01 0 0.000000e+00 8.166667e-03 1.579810e-01 0 0.000000e+00 4.083333e-03 1.339810e-01 0 0.000000e+00 4.083333e-03 1.399810e-01 0 0.000000e+00 4.083333e-03 1.459810e-01 0 0.000000e+00 4.083333e-03 1.519810e-01 0 0.000000e+00 4.083333e-03 1.579810e-01 0 0.000000e+00 0.000000e+00 1.339810e-01 0 0.000000e+00 0.000000e+00 1.399810e-01 0 0.000000e+00 0.000000e+00 1.459810e-01 0 0.000000e+00 0.000000e+00 1.519810e-01 0 0.000000e+00 0.000000e+00 1.579810e-01 0 4.083333e-03 0.000000e+00 1.339810e-01 0 4.083333e-03 0.000000e+00 1.399810e-01 0 4.083333e-03 0.000000e+00 1.459810e-01 0 4.083333e-03 0.000000e+00 1.519810e-01 0 4.083333e-03 0.000000e+00 1.579810e-01 0 3.574107e-03 3.571723e-03 1.339810e-01 0 3.574107e-03 3.571723e-03 1.399810e-01 0 3.574107e-03 3.571723e-03 1.459810e-01 0 3.574107e-03 3.571723e-03 1.519810e-01 0 3.574107e-03 3.571723e-03 1.579810e-01 0 1.362254e-02 2.036361e-02 1.339810e-01 0 1.362254e-02 2.036361e-02 1.399810e-01 0 1.362254e-02 2.036361e-02 1.459810e-01 0 1.362254e-02 2.036361e-02 1.519810e-01 0 1.362254e-02 2.036361e-02 1.579810e-01 0 9.380815e-03 2.263295e-02 1.339810e-01 0 9.380815e-03 2.263295e-02 1.399810e-01 0 9.380815e-03 2.263295e-02 1.459810e-01 0 9.380815e-03 2.263295e-02 1.519810e-01 0 9.380815e-03 2.263295e-02 1.579810e-01 0 4.777350e-03 2.402971e-02 1.339810e-01 0 4.777350e-03 2.402971e-02 1.399810e-01 0 4.777350e-03 2.402971e-02 1.459810e-01 0 4.777350e-03 2.402971e-02 1.519810e-01 0 4.777350e-03 2.402971e-02 1.579810e-01 0 0.000000e+00 2.450000e-02 1.339810e-01 0 0.000000e+00 2.450000e-02 1.399810e-01 0 0.000000e+00 2.450000e-02 1.459810e-01 0 0.000000e+00 2.450000e-02 1.519810e-01 0 0.000000e+00 2.450000e-02 1.579810e-01 0 0.000000e+00 2.041667e-02 1.339810e-01 0 0.000000e+00 2.041667e-02 1.399810e-01 0 0.000000e+00 2.041667e-02 1.459810e-01 0 0.000000e+00 2.041667e-02 1.519810e-01 0 0.000000e+00 2.041667e-02 1.579810e-01 0 0.000000e+00 1.633333e-02 1.339810e-01 0 0.000000e+00 1.633333e-02 1.399810e-01 0 0.000000e+00 1.633333e-02 1.459810e-01 0 0.000000e+00 1.633333e-02 1.519810e-01 0 0.000000e+00 1.633333e-02 1.579810e-01 0 0.000000e+00 1.225000e-02 1.339810e-01 0 0.000000e+00 1.225000e-02 1.399810e-01 0 0.000000e+00 1.225000e-02 1.459810e-01 0 0.000000e+00 1.225000e-02 1.519810e-01 0 0.000000e+00 1.225000e-02 1.579810e-01 0 4.171460e-03 1.989460e-02 1.339810e-01 0 4.171460e-03 1.989460e-02 1.399810e-01 0 4.171460e-03 1.989460e-02 1.459810e-01 0 4.171460e-03 1.989460e-02 1.519810e-01 0 4.171460e-03 1.989460e-02 1.579810e-01 0 3.993179e-03 1.610476e-02 1.339810e-01 0 3.993179e-03 1.610476e-02 1.399810e-01 0 3.993179e-03 1.610476e-02 1.459810e-01 0 3.993179e-03 1.610476e-02 1.519810e-01 0 3.993179e-03 1.610476e-02 1.579810e-01 0 4.935711e-03 1.173140e-02 1.339810e-01 0 4.935711e-03 1.173140e-02 1.399810e-01 0 4.935711e-03 1.173140e-02 1.459810e-01 0 4.935711e-03 1.173140e-02 1.519810e-01 0 4.935711e-03 1.173140e-02 1.579810e-01 0 1.118859e-02 1.703483e-02 1.339810e-01 0 1.118859e-02 1.703483e-02 1.399810e-01 0 1.118859e-02 1.703483e-02 1.459810e-01 0 1.118859e-02 1.703483e-02 1.519810e-01 0 1.118859e-02 1.703483e-02 1.579810e-01 0 7.901604e-03 1.900552e-02 1.339810e-01 0 7.901604e-03 1.900552e-02 1.399810e-01 0 7.901604e-03 1.900552e-02 1.459810e-01 0 7.901604e-03 1.900552e-02 1.519810e-01 0 7.901604e-03 1.900552e-02 1.579810e-01 0 8.680882e-03 1.423534e-02 1.339810e-01 0 8.680882e-03 1.423534e-02 1.399810e-01 0 8.680882e-03 1.423534e-02 1.459810e-01 0 8.680882e-03 1.423534e-02 1.519810e-01 0 8.680882e-03 1.423534e-02 1.579810e-01 0 6.865546e-03 1.645970e-02 1.339810e-01 0 6.865546e-03 1.645970e-02 1.399810e-01 0 6.865546e-03 1.645970e-02 1.459810e-01 0 6.865546e-03 1.645970e-02 1.519810e-01 0 6.865546e-03 1.645970e-02 1.579810e-01 0 Hexahedra 4380 8 9 15 7 399 415 511 383 1 399 415 511 383 400 416 512 384 1 400 416 512 384 401 417 513 385 1 401 417 513 385 402 418 514 386 1 402 418 514 386 403 419 515 387 1 403 419 515 387 404 420 516 388 1 404 420 516 388 405 421 517 389 1 405 421 517 389 406 422 518 390 1 406 422 518 390 407 423 519 391 1 407 423 519 391 408 424 520 392 1 408 424 520 392 409 425 521 393 1 409 425 521 393 410 426 522 394 1 410 426 522 394 411 427 523 395 1 411 427 523 395 412 428 524 396 1 412 428 524 396 413 429 525 397 1 413 429 525 397 414 430 526 398 1 9 10 16 15 415 431 527 511 1 415 431 527 511 416 432 528 512 1 416 432 528 512 417 433 529 513 1 417 433 529 513 418 434 530 514 1 418 434 530 514 419 435 531 515 1 419 435 531 515 420 436 532 516 1 420 436 532 516 421 437 533 517 1 421 437 533 517 422 438 534 518 1 422 438 534 518 423 439 535 519 1 423 439 535 519 424 440 536 520 1 424 440 536 520 425 441 537 521 1 425 441 537 521 426 442 538 522 1 426 442 538 522 427 443 539 523 1 427 443 539 523 428 444 540 524 1 428 444 540 524 429 445 541 525 1 429 445 541 525 430 446 542 526 1 10 11 17 16 431 447 543 527 1 431 447 543 527 432 448 544 528 1 432 448 544 528 433 449 545 529 1 433 449 545 529 434 450 546 530 1 434 450 546 530 435 451 547 531 1 435 451 547 531 436 452 548 532 1 436 452 548 532 437 453 549 533 1 437 453 549 533 438 454 550 534 1 438 454 550 534 439 455 551 535 1 439 455 551 535 440 456 552 536 1 440 456 552 536 441 457 553 537 1 441 457 553 537 442 458 554 538 1 442 458 554 538 443 459 555 539 1 443 459 555 539 444 460 556 540 1 444 460 556 540 445 461 557 541 1 445 461 557 541 446 462 558 542 1 12 13 17 11 463 479 543 447 1 463 479 543 447 464 480 544 448 1 464 480 544 448 465 481 545 449 1 465 481 545 449 466 482 546 450 1 466 482 546 450 467 483 547 451 1 467 483 547 451 468 484 548 452 1 468 484 548 452 469 485 549 453 1 469 485 549 453 470 486 550 454 1 470 486 550 454 471 487 551 455 1 471 487 551 455 472 488 552 456 1 472 488 552 456 473 489 553 457 1 473 489 553 457 474 490 554 458 1 474 490 554 458 475 491 555 459 1 475 491 555 459 476 492 556 460 1 476 492 556 460 477 493 557 461 1 477 493 557 461 478 494 558 462 1 13 14 18 17 479 495 559 543 1 479 495 559 543 480 496 560 544 1 480 496 560 544 481 497 561 545 1 481 497 561 545 482 498 562 546 1 482 498 562 546 483 499 563 547 1 483 499 563 547 484 500 564 548 1 484 500 564 548 485 501 565 549 1 485 501 565 549 486 502 566 550 1 486 502 566 550 487 503 567 551 1 487 503 567 551 488 504 568 552 1 488 504 568 552 489 505 569 553 1 489 505 569 553 490 506 570 554 1 490 506 570 554 491 507 571 555 1 491 507 571 555 492 508 572 556 1 492 508 572 556 493 509 573 557 1 493 509 573 557 494 510 574 558 1 19 18 14 1 575 559 495 287 1 575 559 495 287 576 560 496 288 1 576 560 496 288 577 561 497 289 1 577 561 497 289 578 562 498 290 1 578 562 498 290 579 563 499 291 1 579 563 499 291 580 564 500 292 1 580 564 500 292 581 565 501 293 1 581 565 501 293 582 566 502 294 1 582 566 502 294 583 567 503 295 1 583 567 503 295 584 568 504 296 1 584 568 504 296 585 569 505 297 1 585 569 505 297 586 570 506 298 1 586 570 506 298 587 571 507 299 1 587 571 507 299 588 572 508 300 1 588 572 508 300 589 573 509 301 1 589 573 509 301 590 574 510 302 1 6 7 15 20 367 383 511 591 1 367 383 511 591 368 384 512 592 1 368 384 512 592 369 385 513 593 1 369 385 513 593 370 386 514 594 1 370 386 514 594 371 387 515 595 1 371 387 515 595 372 388 516 596 1 372 388 516 596 373 389 517 597 1 373 389 517 597 374 390 518 598 1 374 390 518 598 375 391 519 599 1 375 391 519 599 376 392 520 600 1 376 392 520 600 377 393 521 601 1 377 393 521 601 378 394 522 602 1 378 394 522 602 379 395 523 603 1 379 395 523 603 380 396 524 604 1 380 396 524 604 381 397 525 605 1 381 397 525 605 382 398 526 606 1 19 5 6 20 575 351 367 591 1 575 351 367 591 576 352 368 592 1 576 352 368 592 577 353 369 593 1 577 353 369 593 578 354 370 594 1 578 354 370 594 579 355 371 595 1 579 355 371 595 580 356 372 596 1 580 356 372 596 581 357 373 597 1 581 357 373 597 582 358 374 598 1 582 358 374 598 583 359 375 599 1 583 359 375 599 584 360 376 600 1 584 360 376 600 585 361 377 601 1 585 361 377 601 586 362 378 602 1 586 362 378 602 587 363 379 603 1 587 363 379 603 588 364 380 604 1 588 364 380 604 589 365 381 605 1 589 365 381 605 590 366 382 606 1 20 15 16 21 591 511 527 607 1 591 511 527 607 592 512 528 608 1 592 512 528 608 593 513 529 609 1 593 513 529 609 594 514 530 610 1 594 514 530 610 595 515 531 611 1 595 515 531 611 596 516 532 612 1 596 516 532 612 597 517 533 613 1 597 517 533 613 598 518 534 614 1 598 518 534 614 599 519 535 615 1 599 519 535 615 600 520 536 616 1 600 520 536 616 601 521 537 617 1 601 521 537 617 602 522 538 618 1 602 522 538 618 603 523 539 619 1 603 523 539 619 604 524 540 620 1 604 524 540 620 605 525 541 621 1 605 525 541 621 606 526 542 622 1 19 20 21 18 575 591 607 559 1 575 591 607 559 576 592 608 560 1 576 592 608 560 577 593 609 561 1 577 593 609 561 578 594 610 562 1 578 594 610 562 579 595 611 563 1 579 595 611 563 580 596 612 564 1 580 596 612 564 581 597 613 565 1 581 597 613 565 582 598 614 566 1 582 598 614 566 583 599 615 567 1 583 599 615 567 584 600 616 568 1 584 600 616 568 585 601 617 569 1 585 601 617 569 586 602 618 570 1 586 602 618 570 587 603 619 571 1 587 603 619 571 588 604 620 572 1 588 604 620 572 589 605 621 573 1 589 605 621 573 590 606 622 574 1 17 18 21 16 543 559 607 527 1 543 559 607 527 544 560 608 528 1 544 560 608 528 545 561 609 529 1 545 561 609 529 546 562 610 530 1 546 562 610 530 547 563 611 531 1 547 563 611 531 548 564 612 532 1 548 564 612 532 549 565 613 533 1 549 565 613 533 550 566 614 534 1 550 566 614 534 551 567 615 535 1 551 567 615 535 552 568 616 536 1 552 568 616 536 553 569 617 537 1 553 569 617 537 554 570 618 538 1 554 570 618 538 555 571 619 539 1 555 571 619 539 556 572 620 540 1 556 572 620 540 557 573 621 541 1 557 573 621 541 558 574 622 542 1 2 3 19 1 303 319 575 287 1 303 319 575 287 304 320 576 288 1 304 320 576 288 305 321 577 289 1 305 321 577 289 306 322 578 290 1 306 322 578 290 307 323 579 291 1 307 323 579 291 308 324 580 292 1 308 324 580 292 309 325 581 293 1 309 325 581 293 310 326 582 294 1 310 326 582 294 311 327 583 295 1 311 327 583 295 312 328 584 296 1 312 328 584 296 313 329 585 297 1 313 329 585 297 314 330 586 298 1 314 330 586 298 315 331 587 299 1 315 331 587 299 316 332 588 300 1 316 332 588 300 317 333 589 301 1 317 333 589 301 318 334 590 302 1 4 5 19 3 335 351 575 319 1 335 351 575 319 336 352 576 320 1 336 352 576 320 337 353 577 321 1 337 353 577 321 338 354 578 322 1 338 354 578 322 339 355 579 323 1 339 355 579 323 340 356 580 324 1 340 356 580 324 341 357 581 325 1 341 357 581 325 342 358 582 326 1 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14078 17175 6 22004 19947 18803 14078 6 22004 9629 18802 14364 6 22004 20386 9629 14364 6 22004 14364 18802 18801 6 22005 18807 12208 17130 6 22005 20338 17130 14338 6 22005 17130 20338 18807 6 22006 15818 18807 13338 6 22006 21953 18807 15818 6 22006 13338 18807 13339 6 22006 20099 13338 13339 6 22006 13339 18807 11558 6 22006 20099 13339 11558 6 22006 18807 20338 11558 6 22006 18807 22005 20338 6 22007 15820 20097 16916 6 22007 18809 12108 18808 6 22007 18809 18808 15820 6 22007 18809 16916 12108 6 22007 18809 15820 16916 6 22008 13987 16663 9500 6 22008 18811 16663 13987 6 22008 16663 9613 10653 6 22008 9500 16663 10653 6 22008 13987 9500 9432 6 22008 19268 13987 9432 6 22008 19268 18811 13987 6 22008 15823 19268 9432 6 22008 19268 15823 18811 6 22008 15823 9432 9613 6 22008 9613 18811 15823 6 22008 9432 10653 9613 6 22009 19799 18526 11561 6 22009 18526 19799 15561 6 22009 19804 15824 16699 6 22009 19804 13343 15824 6 22009 15824 18812 16699 6 22010 13344 18814 15826 6 22010 10481 13344 9470 6 22010 18814 13344 10481 6 22010 15826 18813 13344 6 22010 18813 9470 13344 6 22010 10481 9470 10045 6 22010 6830 10481 10045 6 22010 18814 6830 10045 6 22010 18814 10481 6830 6 22011 18814 13344 15826 6 22012 11996 18815 13804 6 22012 14013 8362 13804 6 22012 13804 18815 14013 6 22012 14019 11996 13804 6 22012 14019 13804 8362 6 22012 15826 18815 11996 6 22012 14013 18815 11991 6 22012 18815 15826 11991 6 22012 15826 10045 11991 6 22012 10045 14015 11991 6 22012 14015 14013 11991 6 22012 18813 15826 11996 6 22012 10045 18813 6340 6 22012 18813 11996 14021 6 22012 6340 18813 14021 6 22012 14021 14019 6340 6 22012 14019 14021 11996 6 22012 8362 10045 6340 6 22012 14019 8362 6340 6 22013 18817 15827 18816 6 22013 15827 21617 18816 6 22013 18384 21619 15443 6 22013 18384 21618 21617 6 22013 21618 18816 21617 6 22013 21618 18384 15443 6 22013 18816 21618 15443 6 22014 21765 18533 11329 6 22014 21765 11329 18382 6 22014 11329 18816 18382 6 22014 15827 18817 18816 6 22015 15445 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6 28729 15965 22183 18972 6 28729 25500 18972 22183 6 28729 25500 22960 18972 6 28729 25500 16643 22960 6 28729 16643 26275 22960 6 28729 22960 26275 22999 6 28729 19737 26240 16643 6 28729 25500 19737 16643 6 28729 25500 22183 19737 6 28730 25507 25508 21108 6 28730 22187 25508 25507 6 28730 25504 17835 21108 6 28730 17835 21110 21109 6 28730 25507 24509 21109 6 28730 25507 21108 24509 6 28730 17835 24509 21108 6 28730 21109 24509 17835 6 28730 25508 25504 21108 6 28730 25507 14908 22187 6 28730 22187 18976 12601 6 28730 25504 12601 18976 6 28730 17835 22186 21110 6 28730 25504 22186 17835 6 28730 25504 18976 22186 6 28731 27694 25507 27693 6 28731 27694 22187 25507 6 28731 22187 27694 18141 6 28731 27694 27696 18141 6 28731 27696 27694 27693 6 28731 23080 27696 27693 6 28731 18141 27696 26374 6 28731 26374 27696 23080 6 28731 14908 25507 22187 6 28731 25506 14908 22187 6 28731 18141 25506 22187 6 28731 25506 18141 22184 6 28731 18141 26374 22184 6 28731 14908 25506 22184 6 28732 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6 28765 21707 25547 18480 6 28765 28764 21707 15530 6 28765 28764 25547 21707 6 28767 28764 22404 28751 6 28767 28764 28751 25548 6 28768 25547 25548 22231 6 28769 25714 25549 19807 6 28770 22813 22842 11906 6 28770 22842 25550 11906 6 28770 25550 22842 22235 6 28770 22842 22813 17164 6 28771 22505 25551 19307 6 28771 22501 27358 25805 6 28771 27358 16263 25805 6 28771 22501 25805 25800 6 28771 25800 25805 16263 6 28771 25551 19310 16263 6 28771 19310 25800 16263 6 28771 19310 25551 22505 6 28772 25556 19016 25549 6 28772 26088 25549 22786 6 28772 26088 25556 25549 6 28777 28770 22235 25550 6 28778 28769 16001 25549 6 28778 28772 25549 16001 6 28778 19016 28777 25550 6 28778 28772 19016 25549 6 28778 26308 25549 19016 6 28779 22785 28311 19554 6 28780 22784 11897 16493 6 28780 19553 22787 22784 6 28780 22784 22787 11897 6 28780 22792 13856 16493 6 28780 22792 16493 11897 6 28780 25035 22785 19554 6 28780 22785 25035 11897 6 28780 28779 19554 22785 6 28780 22785 22787 19553 6 28780 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31980 17090 6 31982 31980 30151 17090 6 31982 17090 29238 29237 6 31984 25821 31748 22518 6 31984 29351 29240 22518 6 31984 22518 31748 29351 6 31984 29351 31748 26069 6 31984 29351 26047 29240 6 31984 29241 29240 26047 6 31984 29241 29001 29240 6 31984 29241 13998 29001 6 31984 22518 29240 29005 6 31984 29240 31752 29005 6 31984 31752 29240 29001 6 31984 13998 31748 29263 6 31984 29263 31748 25821 6 31984 26069 31748 13998 6 31985 29970 29351 26069 6 31985 26047 31984 29351 6 31985 29351 31984 26069 6 31985 13998 31984 29241 6 31985 29241 31984 26047 6 31985 31984 13998 26069 6 31986 29250 26048 29242 6 31986 29250 29022 22751 6 31986 29022 29250 29242 6 31986 29241 31985 26047 6 31986 31985 29243 26047 6 31986 13998 31985 29241 6 31986 31985 13998 29242 6 31986 29241 29022 13998 6 31986 29022 29242 13998 6 31986 29022 29241 22751 6 31988 16478 29246 26050 6 31988 29257 16478 26050 6 31988 29257 26055 16478 6 31988 19535 29248 29246 6 31990 29039 29247 11893 6 31990 11893 29062 29039 6 31991 31810 11893 29247 6 31991 31810 29052 11893 6 31991 31810 22751 29052 6 31991 31990 29247 11893 6 31991 29051 29052 25870 6 31991 29052 29051 11893 6 31992 26049 29969 29250 6 31992 29969 29968 29250 6 31992 29968 29969 26796 6 31992 29250 29968 26048 6 31992 26048 29968 29245 6 31992 29249 29969 26049 6 31992 26796 29969 16478 6 31992 29969 29249 16478 6 31993 25497 29249 29246 6 31993 29246 29249 26049 6 31993 29246 29039 25497 6 31993 29039 29246 26049 6 31993 26049 31810 29039 6 31993 31810 29247 29039 6 31993 29039 31990 25497 6 31993 29247 31990 29039 6 31994 30880 16479 26079 6 31994 30880 29254 16479 6 31994 26079 16479 22753 6 31994 26080 22753 26051 6 31994 26080 26079 22753 6 31994 26053 22753 16479 6 31994 16479 29254 26053 6 31994 26080 22779 26079 6 31994 22779 30880 26079 6 31996 22754 27778 19536 6 31996 29251 22754 19536 6 31996 30894 19536 27778 6 31996 30894 29251 19536 6 31998 29257 31995 26055 6 31998 29256 31996 26055 6 31999 21841 31314 31307 6 31999 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29001 6 32003 13998 29263 29253 6 32003 31984 13998 29001 6 32004 14007 19784 11987 6 32004 23020 19785 14006 6 32004 14006 19784 14007 6 32004 23020 14006 14007 6 32004 20408 14007 11987 6 32004 20408 11986 14007 6 32004 11986 23020 14007 6 32004 20408 14004 11986 6 32004 14004 23020 11986 6 32004 14004 20408 19785 6 32004 23020 14004 19785 6 32004 11987 29264 20408 6 32004 29264 19785 20408 6 32004 19785 29264 16683 6 32004 16683 20111 19785 6 32004 19785 20111 14006 6 32004 20111 16683 19784 6 32004 20111 19784 14006 6 32004 19784 26063 11987 6 32004 29264 11987 26063 6 32004 26063 19784 16683 6 32004 16683 29264 26063 6 32005 22765 17720 20989 6 32005 29266 17720 22765 6 32005 17720 22196 20989 6 32005 17720 29266 22196 6 32005 29266 22765 26067 6 32005 31084 11894 29266 6 32005 31084 29266 26067 6 32005 29266 13849 22196 6 32005 29266 11894 13849 6 32005 20989 22196 13849 6 32005 11894 20982 13849 6 32005 17713 20989 20982 6 32005 26067 17713 20982 6 32005 17713 22765 20989 6 32005 26067 22765 17713 6 32006 22767 29267 29002 6 32006 26068 29267 22767 6 32006 22767 29268 26068 6 32006 16286 29267 26068 6 32006 29268 16286 26068 6 32006 29268 29958 26178 6 32006 22767 29958 29268 6 32006 29268 22877 16286 6 32006 26178 22897 22877 6 32006 22877 22893 16286 6 32006 29267 16286 22893 6 32006 22897 22893 22877 6 32006 25822 22893 22897 6 32006 25822 29267 22893 6 32006 22897 29002 25822 6 32006 29267 25822 29002 6 32007 29268 22767 26068 6 32007 29958 22767 29268 6 32007 23433 29958 29268 6 32007 29958 26291 22767 6 32007 22767 29448 26068 6 32007 13897 29448 26291 6 32007 29448 22767 26291 6 32007 29448 19630 26068 6 32007 19630 29448 29447 6 32007 29447 29448 13897 6 32007 19630 29268 26068 6 32007 29268 19630 23433 6 32007 23433 19630 23432 6 32007 23433 23432 13897 6 32008 32003 31749 29270 6 32008 32003 29001 31749 6 32008 32003 29253 29001 6 32008 22556 31749 29001 6 32008 29001 31768 22556 6 32008 31768 29001 29253 6 32008 22556 31768 31767 6 32008 31767 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6 32011 29277 22518 29000 6 32011 29003 25822 22518 6 32011 22518 29005 29003 6 32011 19334 25822 22520 6 32011 19334 29000 25822 6 32011 29003 22520 25822 6 32011 22520 29003 25824 6 32011 29005 25824 29003 6 32011 29005 16321 25824 6 32011 29005 29277 16321 6 32011 19369 22550 16321 6 32011 25824 16321 22550 6 32011 22550 19369 22520 6 32011 22520 25824 22550 6 32011 26082 29000 22551 6 32011 29277 29000 26082 6 32011 26082 22551 19369 6 32011 19369 29277 26082 6 32011 19369 22551 19334 6 32011 22551 29000 19334 6 32012 26083 22773 16486 6 32012 16486 29278 26083 6 32012 22773 26076 16486 6 32012 29278 16486 26076 6 32012 26083 29278 25844 6 32012 26083 17875 22773 6 32012 26083 25844 17875 6 32012 24525 22773 17875 6 32012 25844 24525 17875 6 32012 24525 29274 22773 6 32012 25844 29274 24525 6 32012 29274 26076 22773 6 32013 25406 18882 13388 6 32013 13388 29285 25406 6 32013 19564 29285 13388 6 32013 22802 29285 19564 6 32013 15883 19564 13388 6 32013 22802 19564 15883 6 32013 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223 188 56 189 6 223 56 214 189 6 223 214 218 189 6 224 53 43 54 6 224 50 54 44 6 224 43 44 54 6 225 27 25 26 6 225 25 27 16 6 225 23 25 16 6 226 66 97 65 6 226 50 44 52 6 226 50 224 44 6 226 36 66 65 6 226 52 66 36 6 226 36 65 50 6 226 36 50 52 6 227 190 205 206 6 227 192 222 205 6 227 205 222 206 6 227 190 206 194 6 227 175 190 194 6 228 72 24 70 6 228 70 90 72 6 228 23 16 24 6 228 225 16 23 6 228 2 24 72 6 228 23 24 2 6 228 72 91 75 6 228 72 75 2 6 228 23 2 75 6 229 22 27 21 6 229 27 26 21 6 229 27 225 26 6 229 21 26 17 6 230 146 188 147 6 230 146 187 188 6 230 145 187 146 6 230 145 186 187 6 230 144 186 145 6 231 47 53 46 6 231 47 48 53 6 231 61 105 62 6 231 61 62 30 6 231 30 62 47 6 231 30 47 46 6 231 46 61 30 6 231 58 61 46 6 231 58 104 61 6 232 51 43 48 6 232 69 109 68 6 232 43 53 48 6 232 231 48 53 6 232 43 224 53 6 232 33 69 68 6 232 33 68 51 6 232 48 69 33 6 232 33 51 48 6 233 206 221 194 6 233 227 206 194 6 233 222 221 206 6 233 227 222 206 6 233 220 221 222 6 234 81 96 80 6 234 80 15 8 6 234 8 81 80 6 234 15 18 8 6 234 81 8 18 6 234 17 26 15 6 234 229 26 17 6 234 15 26 18 6 235 45 54 49 6 235 49 54 50 6 235 224 50 54 6 235 60 100 59 6 235 49 60 59 6 235 59 100 101 6 235 45 49 59 6 235 45 59 57 6 235 59 101 57 6 236 150 151 191 6 236 150 191 164 6 236 205 164 191 6 236 135 150 164 6 237 82 19 77 6 237 19 25 20 6 237 20 25 23 6 237 225 23 25 6 237 77 93 94 6 237 77 20 76 6 237 77 94 82 6 237 20 77 19 6 238 151 150 124 6 238 122 150 135 6 238 236 135 150 6 238 122 124 150 6 239 104 147 105 6 239 104 146 147 6 239 230 147 146 6 239 105 147 148 6 240 135 162 134 6 240 162 161 134 6 240 134 161 133 6 241 101 144 102 6 241 100 143 101 6 241 235 100 101 6 241 101 143 144 6 242 166 163 153 6 242 166 192 163 6 242 192 191 163 6 242 205 236 191 6 242 192 205 191 6 242 227 205 192 6 243 134 133 120 6 243 240 133 134 6 243 120 133 119 6 243 133 132 119 6 244 148 239 147 6 244 147 189 148 6 244 189 218 148 6 244 189 223 218 6 244 218 177 148 6 244 219 177 218 6 244 176 177 219 6 245 175 193 174 6 245 175 194 193 6 245 227 194 175 6 245 174 193 195 6 245 174 195 173 6 246 94 112 111 6 246 94 93 112 6 246 237 93 94 6 247 211 212 186 6 247 185 211 186 6 247 210 211 185 6 248 121 120 85 6 248 84 121 85 6 248 122 121 84 6 248 96 122 84 6 249 214 213 197 6 249 197 213 198 6 249 213 212 198 6 250 154 152 125 6 250 125 152 126 6 250 153 149 126 6 250 152 153 126 6 251 115 114 91 6 251 90 115 91 6 251 116 115 90 6 252 116 129 115 6 252 115 251 116 6 252 130 129 116 6 252 117 130 116 6 253 74 87 73 6 253 21 74 73 6 253 22 21 73 6 253 22 229 21 6 253 87 118 88 6 253 73 87 88 6 254 173 172 159 6 254 160 173 159 6 254 174 173 160 6 254 245 173 174 6 254 159 172 158 6 255 167 202 165 6 255 167 201 202 6 255 165 202 203 6 255 165 203 166 6 256 114 127 113 6 256 127 125 113 6 256 113 125 112 6 256 127 154 125 6 257 157 170 156 6 257 171 170 157 6 257 156 169 155 6 257 170 169 156 6 258 202 207 203 6 258 203 255 202 6 258 207 208 203 6 258 208 204 203 6 258 208 220 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22 74 75 2 4 10 77 20 73 4 10 16 77 9 4 10 20 77 16 4 63 48 49 37 4 63 37 59 48 4 63 49 36 37 4 76 75 3 19 4 62 46 61 30 4 62 30 47 46 4 75 19 2 3 4 61 29 30 46 4 222 212 55 187 4 222 187 55 188 4 222 55 213 188 4 222 213 217 188 4 223 52 42 53 4 223 49 53 43 4 223 42 43 53 4 224 26 24 25 4 224 24 26 15 4 224 22 24 15 4 225 65 96 64 4 225 49 43 51 4 225 49 223 43 4 225 35 65 64 4 225 51 65 35 4 225 35 64 49 4 225 35 49 51 4 226 189 204 205 4 226 191 221 204 4 226 204 221 205 4 226 189 205 193 4 226 174 189 193 4 227 71 23 69 4 227 69 89 71 4 227 22 15 23 4 227 224 15 22 4 227 1 23 71 4 227 22 23 1 4 227 71 90 74 4 227 71 74 1 4 227 22 1 74 4 228 21 26 20 4 228 26 25 20 4 228 26 224 25 4 228 20 25 16 4 229 145 187 146 4 229 145 186 187 4 229 144 186 145 4 229 144 185 186 4 229 143 185 144 4 230 46 52 45 4 230 46 47 52 4 230 60 104 61 4 230 60 61 29 4 230 29 61 46 4 230 29 46 45 4 230 45 60 29 4 230 57 60 45 4 230 57 103 60 4 231 50 42 47 4 231 68 108 67 4 231 42 52 47 4 231 230 47 52 4 231 42 223 52 4 231 32 68 67 4 231 32 67 50 4 231 47 68 32 4 231 32 50 47 4 232 205 220 193 4 232 226 205 193 4 232 221 220 205 4 232 226 221 205 4 232 219 220 221 4 233 80 95 79 4 233 79 14 7 4 233 7 80 79 4 233 14 17 7 4 233 80 7 17 4 233 16 25 14 4 233 228 25 16 4 233 14 25 17 4 234 44 53 48 4 234 48 53 49 4 234 223 49 53 4 234 59 99 58 4 234 48 59 58 4 234 58 99 100 4 234 44 48 58 4 234 44 58 56 4 234 58 100 56 4 235 149 150 190 4 235 149 190 163 4 235 204 163 190 4 235 134 149 163 4 236 81 18 76 4 236 18 24 19 4 236 19 24 22 4 236 224 22 24 4 236 76 92 93 4 236 76 19 75 4 236 76 93 81 4 236 19 76 18 4 237 150 149 123 4 237 121 149 134 4 237 235 134 149 4 237 121 123 149 4 238 103 146 104 4 238 103 145 146 4 238 229 146 145 4 238 104 146 147 4 239 134 161 133 4 239 161 160 133 4 239 133 160 132 4 240 100 143 101 4 240 99 142 100 4 240 234 99 100 4 240 100 142 143 4 241 165 162 152 4 241 165 191 162 4 241 191 190 162 4 241 204 235 190 4 241 191 204 190 4 241 226 204 191 4 242 133 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4 303 224 236 24 4 304 91 112 92 4 304 270 91 92 4 304 245 270 92 4 304 112 111 92 4 304 111 245 92 4 304 113 112 91 4 304 113 255 112 4 304 289 255 113 4 304 250 289 113 4 304 90 113 91 4 304 90 250 113 4 304 270 90 91 4 304 270 250 90 4 305 272 242 247 4 305 272 247 237 4 305 247 271 237 4 306 271 303 269 4 306 269 303 236 4 306 236 245 93 4 306 236 93 81 4 306 81 269 236 4 306 81 93 94 4 306 109 271 269 4 306 94 122 109 4 306 271 109 122 4 306 82 94 109 4 306 109 269 82 4 306 275 110 245 4 306 110 275 122 4 306 94 110 122 4 307 300 259 274 4 307 300 243 259 4 307 259 294 274 4 307 175 264 259 4 307 178 264 175 4 307 263 264 178 4 307 259 243 175 4 307 243 218 175 4 307 243 263 218 4 308 243 300 238 4 308 307 300 243 4 308 307 274 300 4 308 222 307 243 4 308 146 243 238 4 308 188 243 146 4 308 222 243 188 4 308 238 229 146 4 308 146 229 187 4 309 223 268 234 4 309 258 295 268 4 309 258 268 225 4 309 294 258 225 4 309 294 274 258 4 309 274 295 258 4 309 295 302 268 4 309 225 268 223 4 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325 137 106 107 4 325 258 106 137 4 325 264 258 137 4 325 136 137 107 4 325 136 264 137 4 325 108 107 67 4 325 108 136 107 4 325 259 136 108 4 325 264 136 259 4 326 295 274 258 4 326 274 294 258 4 326 274 307 294 4 326 325 294 307 4 326 325 258 294 4 326 258 325 264 4 326 325 307 264 4 326 139 295 258 4 326 139 258 138 4 326 264 138 258 4 326 264 261 138 4 326 274 295 260 4 327 297 264 263 4 327 326 307 264 4 327 307 326 274 4 327 308 307 274 4 327 222 280 263 4 327 264 297 261 4 327 326 264 261 4 327 307 263 264 4 328 291 285 248 4 328 248 285 280 4 328 316 280 285 4 329 261 327 297 4 329 297 232 261 4 329 257 261 219 4 329 219 293 257 4 329 219 261 232 4 329 293 219 232 4 330 298 296 257 4 330 208 298 262 4 330 276 183 209 4 330 262 246 209 4 330 246 276 209 4 330 183 296 208 4 330 276 260 183 4 330 260 296 183 4 330 208 209 183 4 330 208 262 209 4 330 296 298 208 4 331 222 277 248 4 331 328 248 279 4 331 248 328 280 4 331 280 328 299 4 331 308 277 222 4 331 280 327 222 4 331 299 327 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252 318 4 337 283 318 252 4 337 252 314 117 4 337 283 117 282 4 337 117 314 282 4 337 251 283 282 4 337 322 251 282 4 338 167 290 168 4 338 199 315 262 4 338 167 199 200 4 338 199 262 200 4 338 200 298 254 4 338 298 200 262 4 338 167 200 166 4 338 200 254 166 4 338 166 290 167 4 338 290 166 254 4 339 216 297 263 4 339 263 215 216 4 339 263 316 215 4 339 216 215 192 4 339 316 192 215 4 339 193 216 192 4 339 244 193 192 4 339 192 316 244 4 339 193 220 216 4 339 297 216 220 4 339 232 193 226 4 339 193 244 226 4 339 232 220 193 4 339 232 297 220 4 340 254 324 290 4 340 338 254 290 4 340 324 281 290 4 340 324 319 281 4 340 168 338 290 4 340 315 338 168 4 340 168 290 256 4 340 315 168 256 4 340 291 315 256 4 340 319 291 256 4 341 245 304 255 4 341 304 289 255 4 341 321 289 320 4 341 320 322 321 4 341 320 289 251 4 341 251 322 320 4 341 321 255 289 4 342 290 321 281 4 342 281 324 290 4 342 324 288 290 4 342 290 288 249 4 342 249 321 290 4 342 281 334 235 4 342 334 336 235 4 342 235 336 311 4 342 311 241 235 4 342 241 317 235 4 342 317 281 235 4 342 241 324 317 4 342 324 281 317 4 342 324 241 288 4 342 241 311 288 4 342 288 311 249 4 343 327 261 326 4 343 327 329 261 4 343 299 329 327 4 343 296 330 260 4 343 330 257 299 4 343 330 296 257 4 343 257 329 299 4 343 329 257 261 4 344 285 317 244 4 344 285 319 317 4 344 328 319 285 4 344 340 319 328 4 344 324 317 319 4 344 319 340 324 4 344 316 285 244 4 344 316 328 285 4 344 244 339 316 4 344 293 329 232 4 344 317 324 226 4 344 324 293 226 4 344 293 232 226 4 344 339 226 232 4 344 226 339 244 4 344 317 226 244 4 345 328 329 299 4 345 329 257 299 4 345 329 293 257 4 345 329 344 293 4 345 344 324 293 4 345 257 293 254 4 345 324 254 293 4 345 254 298 257 4 345 330 257 298 4 345 257 330 299 4 345 330 262 299 4 345 330 298 262 4 345 262 331 299 4 345 331 328 299 4 345 331 279 328 4 345 331 262 279 4 345 262 315 279 4 345 328 279 315 4 345 340 328 315 4 345 338 315 262 4 345 338 340 315 4 345 340 338 254 4 345 324 340 254 4 345 328 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348 300 308 274 4 348 335 300 274 4 348 238 308 300 4 348 300 335 238 4 349 255 341 321 4 349 310 245 255 4 349 245 341 255 4 349 333 341 245 4 349 310 249 275 4 349 321 342 249 4 349 336 342 334 4 349 342 281 334 4 349 281 342 321 4 349 342 311 249 4 349 311 342 336 4 349 249 311 275 4 349 336 275 311 4 349 305 341 333 4 349 305 333 237 4 349 334 305 237 4 349 237 336 334 4 350 344 328 329 4 350 232 344 329 4 350 339 344 232 4 350 316 344 339 4 350 263 339 297 4 350 316 339 263 4 350 327 263 297 4 350 316 263 280 4 350 280 328 316 4 350 263 327 280 4 350 329 297 232 4 350 297 339 232 4 350 328 344 316 4 350 329 327 297 4 350 329 299 327 4 350 329 328 299 4 351 305 337 332 4 351 332 347 305 4 351 337 318 332 4 351 318 347 332 4 351 341 337 305 4 351 347 341 305 4 351 341 347 304 4 351 347 250 304 4 351 289 304 250 4 351 341 304 289 4 351 251 289 250 4 351 341 289 251 4 351 283 251 250 4 351 283 337 251 4 351 250 318 283 4 351 318 337 283 4 351 250 347 318 4 352 321 341 322 4 352 321 349 341 4 352 321 322 281 4 352 281 349 321 4 352 334 281 322 4 352 349 281 334 4 352 349 305 341 4 352 349 334 305 4 352 341 337 322 4 352 337 341 305 4 352 242 337 305 4 352 305 334 242 4 352 334 322 242 4 268 223 225 49 4 268 234 223 49 4 270 227 22 224 4 270 236 224 22 4 271 95 123 121 4 271 123 237 121 4 230 60 103 104 4 230 238 104 103 4 222 213 55 212 4 222 212 248 213 4 227 71 89 90 4 227 89 250 90 4 278 252 20 73 4 278 252 228 20 4 304 112 255 111 4 304 111 255 245 4 225 106 96 65 4 225 106 258 96 4 307 175 218 178 4 307 263 178 218 4 53 44 267 41 4 53 267 44 234 4 45 52 267 41 4 45 230 267 52 4 5 82 269 6 4 5 6 269 17 4 75 92 236 76 4 75 92 270 236 4 22 236 19 75 4 22 270 236 75 4 313 95 247 83 4 313 95 271 247 4 241 273 204 226 4 241 204 273 235 4 246 143 184 185 4 246 143 276 184 4 195 248 196 213 4 195 213 280 248 4 217 263 222 243 4 217 280 222 263 4 284 283 87 252 4 284 87 283 88 4 72 87 284 70 4 72 284 87 252 4 318 284 228 252 4 318 284 224 228 4 321 154 153 126 4 321 154 290 153 4 267 54 101 102 4 267 101 301 102 4 312 302 260 276 4 312 302 276 240 4 82 81 306 94 4 82 269 306 81 4 93 110 306 94 4 93 306 110 245 4 187 277 308 222 4 187 229 308 277 4 187 188 308 146 4 187 222 308 188 4 295 274 302 260 4 295 309 302 274 4 143 301 312 240 4 143 312 301 229 4 185 312 229 277 4 185 246 312 277 4 77 313 84 78 4 77 313 278 84 4 347 270 227 250 4 347 318 250 227 4 340 290 281 256 4 340 281 319 256 4 323 319 157 253 4 323 157 319 292 4 321 289 126 255 4 321 289 320 126 4 154 256 321 290 4 154 320 321 256 4 322 281 321 256 4 322 321 320 256 4 153 249 255 124 4 153 321 255 249 4 349 310 255 249 4 349 255 321 249 4 346 312 274 260 4 346 274 326 260 4 307 222 263 243 4 307 222 327 263 4 327 307 308 222 4 327 331 222 308 4 349 310 275 245 4 349 275 333 245 4 306 122 275 271 4 306 333 271 275 4 317 273 239 235 4 235 239 317 281 4 235 281 334 239 4 231 266 335 259 4 231 335 294 259 4 349 333 275 237 4 349 275 336 237 4 150 237 149 235 4 150 235 336 237 4 283 252 117 87 4 283 252 337 117 4 199 167 338 168 4 199 338 315 168 4 345 338 262 298 4 345 254 338 298 4 328 315 340 291 4 328 291 319 285 4 328 340 319 291 4 279 346 277 331 4 279 346 246 277 4 335 230 267 238 4 335 348 238 267 4 299 280 350 327 4 299 328 350 280 4 337 322 341 251 4 337 351 251 341 4 242 322 337 282 4 242 352 337 322 4 279 291 328 248 4 279 315 328 291 4 353 343 261 326 4 353 138 261 180 4 353 326 261 138 4 353 138 180 139 4 353 326 138 139 4 353 139 180 181 4 353 295 326 139 4 353 260 326 295 4 353 260 140 181 4 353 260 295 140 4 353 180 207 181 4 353 261 207 180 4 353 296 181 207 4 353 261 257 207 4 353 257 296 207 4 353 343 257 261 4 353 343 296 257 4 353 343 326 260 4 353 181 296 260 4 353 343 260 296 4 353 139 181 140 4 353 295 139 140 CELL_TYPES 1348 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 CELL_DATA 1348 SCALARS mat_id int 1 LOOKUP_TABLE default 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 sfepy-release_2015.1/meshes/3d/cylinder_in_box.geo000066400000000000000000000112461247364230400220760ustar00rootroot00000000000000// The fill box we are making DX=5 ; DY=5 ; DZ=1 ; centerX=0; centerY=0; centerZ=0; mesh_fill=0.5; // density of nodes in the fill box // The cylinder xcyl=2; ycyl=2; radius=0.2; mesh_cyl=0.1; // density of nodes in the cylinder //////////////////////////////// cylindrical heating element. ////////////////////////////////////////// // The circular cross-section For j In {0:4} // Calculating the points on the circle omega=j*2*Pi/4; xm[j]=(xcyl+radius*Cos(omega)); ym[j]=(ycyl+radius*Sin(omega)); Printf("%g %g",xm[j],ym[j]); Point(j)={xm[j],ym[j],-DZ/2,mesh_cyl}; EndFor Point(5)={xcyl,ycyl,-DZ/2}; // Creating a "Circle" Circle(6)={0,5,1}; Circle(7)={1,5,2}; Circle(8)={2,5,3}; Circle(9)={3,5,0}; // Defining a line loop, necessary for making a surface CircleLoop_zm=newl; Line Loop(CircleLoop_zm) = {6,7,8,9}; // Defining the surface CircleSurf_zm=news; Plane Surface(CircleSurf_zm)={CircleLoop_zm}; // When making an extruded line or surface it is automatically meshed identically to the parent surface. out[]=Extrude{0,0,DZ}{ Line {6,7,8,9}; }; // out contains the extruded elements. index 0,4,8,12 are the extruded lines which we now use to create the // other end of the cylinder. CircleLoop_zp=newl; Line Loop(CircleLoop_zp) ={out[0],out[4],out[8],out[12]}; CircleSurf_zp=news; Plane Surface(CircleSurf_zp)={CircleLoop_zp}; // The two surfaces now need to be forced to get identical nodes. This is done with the Periodic Surface command Periodic Surface CircleSurf_zm {6,7,8,9} = CircleSurf_zp {out[0],out[4],out[8],out[12]}; //out also contain the extruded sides of the surface at index 1,5,9,13. We use them to make the entire cylinder CylSL=newsl;Surface Loop(CylSL) = {out[1],out[5],out[9],out[13],CircleSurf_zm,CircleSurf_zp} ; Volume(444)={CylSL}; ////////////////////////////////////////////////////Fill-volume: //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// p00=newp; Point(p00)={centerX - 0.5 * DX, centerY - 0.5 * DY, centerZ - 0.5 * DZ, mesh_fill}; p01=newp; Point(p01)={centerX + 0.5 * DX, centerY - 0.5 * DY, centerZ - 0.5 * DZ, mesh_fill}; p02=newp; Point(p02)={centerX + 0.5 * DX, centerY + 0.5 * DY, centerZ - 0.5 * DZ, mesh_fill}; p03=newp; Point(p03)={centerX - 0.5 * DX, centerY + 0.5 * DY, centerZ - 0.5 * DZ, mesh_fill}; p10=newp; Point(p10)={centerX - 0.5 * DX, centerY - 0.5 * DY, centerZ + 0.5 * DZ, mesh_fill}; p11=newp; Point(p11)={centerX + 0.5 * DX, centerY - 0.5 * DY, centerZ + 0.5 * DZ, mesh_fill}; p12=newp; Point(p12)={centerX + 0.5 * DX, centerY + 0.5 * DY, centerZ + 0.5 * DZ, mesh_fill}; p13=newp; Point(p13)={centerX - 0.5 * DX, centerY + 0.5 * DY, centerZ + 0.5 * DZ, mesh_fill}; // Periphery of Fill-volume // -z, xy plane l00=newl; Line(l00) = {p00,p01}; l01=newl; Line(l01) = {p01,p02}; l02=newl; Line(l02) = {p02,p03}; l03=newl; Line(l03) = {p03,p00}; // +z, xy plane l10=newl; Line(l10) = {p10,p11}; l11=newl; Line(l11) = {p11,p12}; l12=newl; Line(l12) = {p12,p13}; l13=newl; Line(l13) = {p13,p10}; // Corner lines along z l20=newl; Line(l20) = {p00,p10}; l21=newl; Line(l21) = {p01,p11}; l22=newl; Line(l22) = {p02,p12}; l23=newl; Line(l23) = {p03,p13}; // z-, surface. This is defined as a rectangle with a hole cut into it (CircleLoop_zm) loop_zm=newl; Line Loop(loop_zm) = {l00,l01,l02,l03}; surf_zm=news; Plane Surface(surf_zm)={loop_zm,CircleLoop_zm}; // z+, surface This is defined as a rectangle with a hole cut into it (CircleLoop_zp) loop_zp=newl; Line Loop(loop_zp) = {l10,l11,l12,l13}; surf_zp=news; Plane Surface(surf_zp)={loop_zp,CircleLoop_zp}; // couple z- (slave) to z+ (master) surface for periodicity in z direction Periodic Surface surf_zm { l00,l01,l02,l03,6,7,8,9} = surf_zp { l10,l11,l12,l13,out[0],out[4],out[8],out[12]}; // y-, surface. Here we also define periodic surfaces. loop_ym=newl; Line Loop(loop_ym) = {l00,l21,-l10,-l20}; surf_ym=news; Plane Surface(surf_ym)={loop_ym}; // y+, surface loop_yp=newl; Line Loop(loop_yp) ={-l02,l22,l12,-l23}; surf_yp=news; Plane Surface(surf_yp)={loop_yp}; // couple y- (slave) to y+ (master) surface for periodicity in z direction Periodic Surface surf_ym {l00,l21,-l10,-l20} = surf_yp{-l02,l22,l12,-l23}; // x-, surface. Here we do not define periodic surfaces. loop_xm=newl; Line Loop(loop_xm) = {l20,-l13,-l23,l03}; surf_xm=news; Plane Surface(surf_xm)={loop_xm}; // x+, surface loop_xp=newl; Line Loop(loop_xp) = {l21,l11,-l22,-l01}; surf_xp=news; Plane Surface(surf_xp)={loop_xp}; // Now we assemble the fill-volume FillSL=newsl;Surface Loop(FillSL) = {surf_xp,surf_xm,surf_yp,surf_ym,surf_zp,surf_zm,out[1],out[5],out[9],out[13]}; Volume(555)={FillSL}; Physical Volume ("cylinder") = 444; Physical Volume ("fill") = 555; sfepy-release_2015.1/meshes/3d/cylinder_in_box.mesh000066400000000000000000004022151247364230400222600ustar00rootroot00000000000000 MeshVersionFormatted 1 Dimension 3 Vertices 764 2.2 2 -0.5 0 2 2.2 -0.5 1 1.8 2 -0.5 2 2 1.8 -0.5 3 2.2 2 0.5 6 2 2.2 0.5 8 1.8 2 0.5 11 2 1.8 0.5 14 -2.5 -2.5 -0.5 15 2.5 -2.5 -0.5 16 2.5 2.5 -0.5 17 -2.5 2.5 -0.5 18 -2.5 -2.5 0.5 19 2.5 -2.5 0.5 20 2.5 2.5 0.5 21 -2.5 2.5 0.5 22 2.1732050807569 2.1 -0.5 6 2.1000000000003 2.1732050807567 -0.5 6 1.9000000000002 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7.500000e-01 3.958096e-01 9.170422e-01 0 8.750000e-01 3.958096e-01 9.170422e-01 0 1.000000e+00 3.958096e-01 9.170422e-01 0 2.500000e-01 2.378916e-01 9.551487e-01 0 3.750000e-01 2.378916e-01 9.551487e-01 0 5.000000e-01 2.378916e-01 9.551487e-01 0 6.250000e-01 2.378916e-01 9.551487e-01 0 7.500000e-01 2.378916e-01 9.551487e-01 0 8.750000e-01 2.378916e-01 9.551487e-01 0 1.000000e+00 2.378916e-01 9.551487e-01 0 2.500000e-01 4.211166e-01 8.500869e-01 0 3.750000e-01 4.211166e-01 8.500869e-01 0 5.000000e-01 4.211166e-01 8.500869e-01 0 6.250000e-01 4.211166e-01 8.500869e-01 0 7.500000e-01 4.211166e-01 8.500869e-01 0 8.750000e-01 4.211166e-01 8.500869e-01 0 1.000000e+00 4.211166e-01 8.500869e-01 0 2.500000e-01 3.102068e-01 9.408708e-01 0 3.750000e-01 3.102068e-01 9.408708e-01 0 5.000000e-01 3.102068e-01 9.408708e-01 0 6.250000e-01 3.102068e-01 9.408708e-01 0 7.500000e-01 3.102068e-01 9.408708e-01 0 8.750000e-01 3.102068e-01 9.408708e-01 0 1.000000e+00 3.102068e-01 9.408708e-01 0 2.500000e-01 3.675318e-01 8.234674e-01 0 3.750000e-01 3.675318e-01 8.234674e-01 0 5.000000e-01 3.675318e-01 8.234674e-01 0 6.250000e-01 3.675318e-01 8.234674e-01 0 7.500000e-01 3.675318e-01 8.234674e-01 0 8.750000e-01 3.675318e-01 8.234674e-01 0 1.000000e+00 3.675318e-01 8.234674e-01 0 2.500000e-01 1.773626e-01 9.345437e-01 0 3.750000e-01 1.773626e-01 9.345437e-01 0 5.000000e-01 1.773626e-01 9.345437e-01 0 6.250000e-01 1.773626e-01 9.345437e-01 0 7.500000e-01 1.773626e-01 9.345437e-01 0 8.750000e-01 1.773626e-01 9.345437e-01 0 1.000000e+00 1.773626e-01 9.345437e-01 0 2.500000e-01 2.184621e-01 9.166554e-01 0 3.750000e-01 2.184621e-01 9.166554e-01 0 5.000000e-01 2.184621e-01 9.166554e-01 0 6.250000e-01 2.184621e-01 9.166554e-01 0 7.500000e-01 2.184621e-01 9.166554e-01 0 8.750000e-01 2.184621e-01 9.166554e-01 0 1.000000e+00 2.184621e-01 9.166554e-01 0 2.500000e-01 2.737253e-01 8.914620e-01 0 3.750000e-01 2.737253e-01 8.914620e-01 0 5.000000e-01 2.737253e-01 8.914620e-01 0 6.250000e-01 2.737253e-01 8.914620e-01 0 7.500000e-01 2.737253e-01 8.914620e-01 0 8.750000e-01 2.737253e-01 8.914620e-01 0 1.000000e+00 2.737253e-01 8.914620e-01 0 2.500000e-01 3.315373e-01 8.597654e-01 0 3.750000e-01 3.315373e-01 8.597654e-01 0 5.000000e-01 3.315373e-01 8.597654e-01 0 6.250000e-01 3.315373e-01 8.597654e-01 0 7.500000e-01 3.315373e-01 8.597654e-01 0 8.750000e-01 3.315373e-01 8.597654e-01 0 1.000000e+00 3.315373e-01 8.597654e-01 0 2.500000e-01 2.401741e-01 6.499683e-01 0 3.750000e-01 2.401741e-01 6.499683e-01 0 5.000000e-01 2.401741e-01 6.499683e-01 0 6.250000e-01 2.401741e-01 6.499683e-01 0 7.500000e-01 2.401741e-01 6.499683e-01 0 8.750000e-01 2.401741e-01 6.499683e-01 0 1.000000e+00 2.401741e-01 6.499683e-01 0 2.500000e-01 2.101939e-01 5.775397e-01 0 3.750000e-01 2.101939e-01 5.775397e-01 0 5.000000e-01 2.101939e-01 5.775397e-01 0 6.250000e-01 2.101939e-01 5.775397e-01 0 7.500000e-01 2.101939e-01 5.775397e-01 0 8.750000e-01 2.101939e-01 5.775397e-01 0 1.000000e+00 2.101939e-01 5.775397e-01 0 2.500000e-01 2.861806e-01 5.703996e-01 0 3.750000e-01 2.861806e-01 5.703996e-01 0 5.000000e-01 2.861806e-01 5.703996e-01 0 6.250000e-01 2.861806e-01 5.703996e-01 0 7.500000e-01 2.861806e-01 5.703996e-01 0 8.750000e-01 2.861806e-01 5.703996e-01 0 1.000000e+00 2.861806e-01 5.703996e-01 0 2.500000e-01 3.185831e-01 6.815101e-01 0 3.750000e-01 3.185831e-01 6.815101e-01 0 5.000000e-01 3.185831e-01 6.815101e-01 0 6.250000e-01 3.185831e-01 6.815101e-01 0 7.500000e-01 3.185831e-01 6.815101e-01 0 8.750000e-01 3.185831e-01 6.815101e-01 0 1.000000e+00 3.185831e-01 6.815101e-01 0 2.500000e-01 3.656409e-01 6.978810e-01 0 3.750000e-01 3.656409e-01 6.978810e-01 0 5.000000e-01 3.656409e-01 6.978810e-01 0 6.250000e-01 3.656409e-01 6.978810e-01 0 7.500000e-01 3.656409e-01 6.978810e-01 0 8.750000e-01 3.656409e-01 6.978810e-01 0 1.000000e+00 3.656409e-01 6.978810e-01 0 2.500000e-01 4.297499e-01 7.138962e-01 0 3.750000e-01 4.297499e-01 7.138962e-01 0 5.000000e-01 4.297499e-01 7.138962e-01 0 6.250000e-01 4.297499e-01 7.138962e-01 0 7.500000e-01 4.297499e-01 7.138962e-01 0 8.750000e-01 4.297499e-01 7.138962e-01 0 1.000000e+00 4.297499e-01 7.138962e-01 0 2.500000e-01 3.570875e-01 5.696231e-01 0 3.750000e-01 3.570875e-01 5.696231e-01 0 5.000000e-01 3.570875e-01 5.696231e-01 0 6.250000e-01 3.570875e-01 5.696231e-01 0 7.500000e-01 3.570875e-01 5.696231e-01 0 8.750000e-01 3.570875e-01 5.696231e-01 0 1.000000e+00 3.570875e-01 5.696231e-01 0 2.500000e-01 4.282177e-01 5.718744e-01 0 3.750000e-01 4.282177e-01 5.718744e-01 0 5.000000e-01 4.282177e-01 5.718744e-01 0 6.250000e-01 4.282177e-01 5.718744e-01 0 7.500000e-01 4.282177e-01 5.718744e-01 0 8.750000e-01 4.282177e-01 5.718744e-01 0 1.000000e+00 4.282177e-01 5.718744e-01 0 2.500000e-01 4.305264e-01 6.429784e-01 0 3.750000e-01 4.305264e-01 6.429784e-01 0 5.000000e-01 4.305264e-01 6.429784e-01 0 6.250000e-01 4.305264e-01 6.429784e-01 0 7.500000e-01 4.305264e-01 6.429784e-01 0 8.750000e-01 4.305264e-01 6.429784e-01 0 1.000000e+00 4.305264e-01 6.429784e-01 0 2.500000e-01 3.022400e-01 6.345169e-01 0 3.750000e-01 3.022400e-01 6.345169e-01 0 5.000000e-01 3.022400e-01 6.345169e-01 0 6.250000e-01 3.022400e-01 6.345169e-01 0 7.500000e-01 3.022400e-01 6.345169e-01 0 8.750000e-01 3.022400e-01 6.345169e-01 0 1.000000e+00 3.022400e-01 6.345169e-01 0 2.500000e-01 3.638737e-01 6.362499e-01 0 3.750000e-01 3.638737e-01 6.362499e-01 0 5.000000e-01 3.638737e-01 6.362499e-01 0 6.250000e-01 3.638737e-01 6.362499e-01 0 7.500000e-01 3.638737e-01 6.362499e-01 0 8.750000e-01 3.638737e-01 6.362499e-01 0 1.000000e+00 3.638737e-01 6.362499e-01 0 2.500000e-01 0.000000e+00 5.833333e-01 0 3.750000e-01 0.000000e+00 5.833333e-01 0 5.000000e-01 0.000000e+00 5.833333e-01 0 6.250000e-01 0.000000e+00 5.833333e-01 0 7.500000e-01 0.000000e+00 5.833333e-01 0 8.750000e-01 0.000000e+00 5.833333e-01 0 1.000000e+00 0.000000e+00 5.833333e-01 0 2.500000e-01 0.000000e+00 9.166667e-01 0 3.750000e-01 0.000000e+00 9.166667e-01 0 5.000000e-01 0.000000e+00 9.166667e-01 0 6.250000e-01 0.000000e+00 9.166667e-01 0 7.500000e-01 0.000000e+00 9.166667e-01 0 8.750000e-01 0.000000e+00 9.166667e-01 0 1.000000e+00 0.000000e+00 9.166667e-01 0 2.500000e-01 0.000000e+00 8.333333e-01 0 3.750000e-01 0.000000e+00 8.333333e-01 0 5.000000e-01 0.000000e+00 8.333333e-01 0 6.250000e-01 0.000000e+00 8.333333e-01 0 7.500000e-01 0.000000e+00 8.333333e-01 0 8.750000e-01 0.000000e+00 8.333333e-01 0 1.000000e+00 0.000000e+00 8.333333e-01 0 2.500000e-01 0.000000e+00 7.500000e-01 0 3.750000e-01 0.000000e+00 7.500000e-01 0 5.000000e-01 0.000000e+00 7.500000e-01 0 6.250000e-01 0.000000e+00 7.500000e-01 0 7.500000e-01 0.000000e+00 7.500000e-01 0 8.750000e-01 0.000000e+00 7.500000e-01 0 1.000000e+00 0.000000e+00 7.500000e-01 0 2.500000e-01 0.000000e+00 6.666667e-01 0 3.750000e-01 0.000000e+00 6.666667e-01 0 5.000000e-01 0.000000e+00 6.666667e-01 0 6.250000e-01 0.000000e+00 6.666667e-01 0 7.500000e-01 0.000000e+00 6.666667e-01 0 8.750000e-01 0.000000e+00 6.666667e-01 0 1.000000e+00 0.000000e+00 6.666667e-01 0 2.500000e-01 4.070950e-02 8.885161e-01 0 3.750000e-01 4.070950e-02 8.885161e-01 0 5.000000e-01 4.070950e-02 8.885161e-01 0 6.250000e-01 4.070950e-02 8.885161e-01 0 7.500000e-01 4.070950e-02 8.885161e-01 0 8.750000e-01 4.070950e-02 8.885161e-01 0 1.000000e+00 4.070950e-02 8.885161e-01 0 2.500000e-01 7.858405e-02 8.579029e-01 0 3.750000e-01 7.858405e-02 8.579029e-01 0 5.000000e-01 7.858405e-02 8.579029e-01 0 6.250000e-01 7.858405e-02 8.579029e-01 0 7.500000e-01 7.858405e-02 8.579029e-01 0 8.750000e-01 7.858405e-02 8.579029e-01 0 1.000000e+00 7.858405e-02 8.579029e-01 0 2.500000e-01 1.143696e-01 8.152096e-01 0 3.750000e-01 1.143696e-01 8.152096e-01 0 5.000000e-01 1.143696e-01 8.152096e-01 0 6.250000e-01 1.143696e-01 8.152096e-01 0 7.500000e-01 1.143696e-01 8.152096e-01 0 8.750000e-01 1.143696e-01 8.152096e-01 0 1.000000e+00 1.143696e-01 8.152096e-01 0 2.500000e-01 1.520795e-01 7.650638e-01 0 3.750000e-01 1.520795e-01 7.650638e-01 0 5.000000e-01 1.520795e-01 7.650638e-01 0 6.250000e-01 1.520795e-01 7.650638e-01 0 7.500000e-01 1.520795e-01 7.650638e-01 0 8.750000e-01 1.520795e-01 7.650638e-01 0 1.000000e+00 1.520795e-01 7.650638e-01 0 2.500000e-01 3.721145e-02 8.269533e-01 0 3.750000e-01 3.721145e-02 8.269533e-01 0 5.000000e-01 3.721145e-02 8.269533e-01 0 6.250000e-01 3.721145e-02 8.269533e-01 0 7.500000e-01 3.721145e-02 8.269533e-01 0 8.750000e-01 3.721145e-02 8.269533e-01 0 1.000000e+00 3.721145e-02 8.269533e-01 0 2.500000e-01 1.929444e-01 7.109819e-01 0 3.750000e-01 1.929444e-01 7.109819e-01 0 5.000000e-01 1.929444e-01 7.109819e-01 0 6.250000e-01 1.929444e-01 7.109819e-01 0 7.500000e-01 1.929444e-01 7.109819e-01 0 8.750000e-01 1.929444e-01 7.109819e-01 0 1.000000e+00 1.929444e-01 7.109819e-01 0 2.500000e-01 8.296586e-02 6.042168e-01 0 3.750000e-01 8.296586e-02 6.042168e-01 0 5.000000e-01 8.296586e-02 6.042168e-01 0 6.250000e-01 8.296586e-02 6.042168e-01 0 7.500000e-01 8.296586e-02 6.042168e-01 0 8.750000e-01 8.296586e-02 6.042168e-01 0 1.000000e+00 8.296586e-02 6.042168e-01 0 2.500000e-01 4.485599e-02 7.621167e-01 0 3.750000e-01 4.485599e-02 7.621167e-01 0 5.000000e-01 4.485599e-02 7.621167e-01 0 6.250000e-01 4.485599e-02 7.621167e-01 0 7.500000e-01 4.485599e-02 7.621167e-01 0 8.750000e-01 4.485599e-02 7.621167e-01 0 1.000000e+00 4.485599e-02 7.621167e-01 0 2.500000e-01 1.499285e-01 5.789425e-01 0 3.750000e-01 1.499285e-01 5.789425e-01 0 5.000000e-01 1.499285e-01 5.789425e-01 0 6.250000e-01 1.499285e-01 5.789425e-01 0 7.500000e-01 1.499285e-01 5.789425e-01 0 8.750000e-01 1.499285e-01 5.789425e-01 0 1.000000e+00 1.499285e-01 5.789425e-01 0 2.500000e-01 5.913592e-02 6.898085e-01 0 3.750000e-01 5.913592e-02 6.898085e-01 0 5.000000e-01 5.913592e-02 6.898085e-01 0 6.250000e-01 5.913592e-02 6.898085e-01 0 7.500000e-01 5.913592e-02 6.898085e-01 0 8.750000e-01 5.913592e-02 6.898085e-01 0 1.000000e+00 5.913592e-02 6.898085e-01 0 2.500000e-01 1.765790e-01 6.325654e-01 0 3.750000e-01 1.765790e-01 6.325654e-01 0 5.000000e-01 1.765790e-01 6.325654e-01 0 6.250000e-01 1.765790e-01 6.325654e-01 0 7.500000e-01 1.765790e-01 6.325654e-01 0 8.750000e-01 1.765790e-01 6.325654e-01 0 1.000000e+00 1.765790e-01 6.325654e-01 0 2.500000e-01 6.546153e-02 8.226448e-01 0 3.750000e-01 6.546153e-02 8.226448e-01 0 5.000000e-01 6.546153e-02 8.226448e-01 0 6.250000e-01 6.546153e-02 8.226448e-01 0 7.500000e-01 6.546153e-02 8.226448e-01 0 8.750000e-01 6.546153e-02 8.226448e-01 0 1.000000e+00 6.546153e-02 8.226448e-01 0 2.500000e-01 8.335223e-02 7.815513e-01 0 3.750000e-01 8.335223e-02 7.815513e-01 0 5.000000e-01 8.335223e-02 7.815513e-01 0 6.250000e-01 8.335223e-02 7.815513e-01 0 7.500000e-01 8.335223e-02 7.815513e-01 0 8.750000e-01 8.335223e-02 7.815513e-01 0 1.000000e+00 8.335223e-02 7.815513e-01 0 2.500000e-01 1.085505e-01 7.263022e-01 0 3.750000e-01 1.085505e-01 7.263022e-01 0 5.000000e-01 1.085505e-01 7.263022e-01 0 6.250000e-01 1.085505e-01 7.263022e-01 0 7.500000e-01 1.085505e-01 7.263022e-01 0 8.750000e-01 1.085505e-01 7.263022e-01 0 1.000000e+00 1.085505e-01 7.263022e-01 0 2.500000e-01 1.402599e-01 6.685166e-01 0 3.750000e-01 1.402599e-01 6.685166e-01 0 5.000000e-01 1.402599e-01 6.685166e-01 0 6.250000e-01 1.402599e-01 6.685166e-01 0 7.500000e-01 1.402599e-01 6.685166e-01 0 8.750000e-01 1.402599e-01 6.685166e-01 0 1.000000e+00 1.402599e-01 6.685166e-01 0 Hexahedra 1952 33 35 59 31 34 36 60 32 1 35 37 61 59 36 38 62 60 1 37 39 63 61 38 40 64 62 1 39 41 65 63 40 42 66 64 1 57 31 59 67 58 32 60 68 1 41 43 69 65 42 44 70 66 1 45 47 69 43 46 48 70 44 1 9 51 71 7 10 52 72 8 1 55 57 67 73 56 58 68 74 1 71 75 5 7 72 76 6 8 1 3 5 75 49 4 6 76 50 1 77 53 55 73 78 54 56 74 1 77 71 51 53 78 72 52 54 1 79 47 49 75 80 48 50 76 1 59 61 81 67 60 62 82 68 1 73 67 81 83 74 68 82 84 1 61 63 83 81 62 64 84 82 1 63 65 85 83 64 66 86 84 1 65 69 87 85 66 70 88 86 1 69 47 79 87 70 48 80 88 1 85 77 73 83 86 78 74 84 1 71 87 79 75 72 88 80 76 1 87 71 77 85 88 72 78 86 1 33 113 121 35 34 114 122 36 1 37 35 121 123 38 36 122 124 1 39 37 123 125 40 38 124 126 1 41 39 125 127 42 40 126 128 1 113 115 129 121 114 116 130 122 1 43 41 127 131 44 42 128 132 1 45 43 131 89 46 44 132 90 1 25 27 133 111 26 28 134 112 1 115 117 135 129 116 118 136 130 1 137 133 27 29 138 134 28 30 1 17 91 137 29 18 92 138 30 1 139 135 117 119 140 136 118 120 1 133 139 119 111 134 140 120 112 1 89 141 137 91 90 142 138 92 1 123 121 129 143 124 122 130 144 1 129 135 145 143 130 136 146 144 1 125 123 143 145 126 124 144 146 1 127 125 145 147 128 126 146 148 1 131 127 147 149 132 128 148 150 1 89 131 149 141 90 132 150 142 1 139 147 145 135 140 148 146 136 1 133 149 147 139 134 150 148 140 1 149 133 137 141 150 134 138 142 1 168 170 194 166 167 169 193 165 1 170 172 196 194 169 171 195 193 1 172 174 198 196 171 173 197 195 1 174 176 200 198 173 175 199 197 1 192 166 194 202 191 165 193 201 1 176 178 204 200 175 177 203 199 1 180 182 204 178 179 181 203 177 1 158 186 206 156 157 185 205 155 1 190 192 202 208 189 191 201 207 1 206 210 154 156 205 209 153 155 1 152 154 210 184 151 153 209 183 1 212 188 190 208 211 187 189 207 1 212 206 186 188 211 205 185 187 1 214 182 184 210 213 181 183 209 1 194 196 216 202 193 195 215 201 1 208 202 216 218 207 201 215 217 1 196 198 218 216 195 197 217 215 1 198 200 220 218 197 199 219 217 1 200 204 222 220 199 203 221 219 1 204 182 214 222 203 181 213 221 1 220 212 208 218 219 211 207 217 1 206 222 214 210 205 221 213 209 1 222 206 212 220 221 205 211 219 1 168 248 256 170 167 247 255 169 1 172 170 256 258 171 169 255 257 1 174 172 258 260 173 171 257 259 1 176 174 260 262 175 173 259 261 1 248 250 264 256 247 249 263 255 1 178 176 262 266 177 175 261 265 1 180 178 266 224 179 177 265 223 1 26 28 268 246 25 27 267 245 1 250 252 270 264 249 251 269 263 1 272 268 28 30 271 267 27 29 1 18 226 272 30 17 225 271 29 1 274 270 252 254 273 269 251 253 1 268 274 254 246 267 273 253 245 1 224 276 272 226 223 275 271 225 1 258 256 264 278 257 255 263 277 1 264 270 280 278 263 269 279 277 1 260 258 278 280 259 257 277 279 1 262 260 280 282 261 259 279 281 1 266 262 282 284 265 261 281 283 1 224 266 284 276 223 265 283 275 1 274 282 280 270 273 281 279 269 1 268 284 282 274 267 283 281 273 1 284 268 272 276 283 267 271 275 1 302 304 328 300 301 303 327 299 1 304 306 330 328 303 305 329 327 1 306 308 332 330 305 307 331 329 1 308 310 334 332 307 309 333 331 1 326 300 328 336 325 299 327 335 1 310 312 338 334 309 311 337 333 1 314 316 338 312 313 315 337 311 1 10 320 340 8 9 319 339 7 1 324 326 336 342 323 325 335 341 1 340 344 6 8 339 343 5 7 1 4 6 344 318 3 5 343 317 1 346 322 324 342 345 321 323 341 1 346 340 320 322 345 339 319 321 1 348 316 318 344 347 315 317 343 1 328 330 350 336 327 329 349 335 1 342 336 350 352 341 335 349 351 1 330 332 352 350 329 331 351 349 1 332 334 354 352 331 333 353 351 1 334 338 356 354 333 337 355 353 1 338 316 348 356 337 315 347 355 1 354 346 342 352 353 345 341 351 1 340 356 348 344 339 355 347 343 1 356 340 346 354 355 339 345 353 1 302 382 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2024 3 1598 3091 2012 1917 3 2062 2527 3397 3381 3 2730 1937 2996 2018 3 1997 3619 1697 3589 3 2934 1130 2894 2976 3 3088 3689 1624 3451 3 1580 3701 2755 2081 3 3498 121 124 3691 3 1957 1733 1520 1784 3 3028 991 916 3077 3 3077 895 2082 1854 3 2634 3251 1726 1980 3 2081 3701 2250 1580 3 2285 2530 2205 3698 3 3627 70 1739 2530 3 2225 3053 1964 2555 3 3047 3377 3012 2993 3 3473 1498 1547 1431 3 3073 3112 2665 3035 3 2634 2969 2818 1649 3 1870 2993 2481 3443 3 2225 1964 2718 2555 3 2267 1848 1429 3319 3 1964 2555 2404 2718 3 2356 69 111 130 3 3498 2497 1510 1824 3 3594 3225 2610 1983 3 3624 2799 1977 2489 3 3624 139 2813 2489 3 3566 3272 2666 1352 3 2633 2790 2613 3360 3 3290 2752 3035 2167 3 2338 3254 1640 2704 3 2712 3199 1519 3516 3 1882 2719 2354 2896 3 2687 3204 1693 1986 3 1365 2392 1950 1882 3 2944 2241 2019 2939 3 1908 2889 3369 1940 3 2996 2438 1972 2018 3 2307 80 3681 88 3 2495 3255 799 1662 3 2975 2921 3715 3585 3 3088 3534 2820 2058 3 1527 1911 1531 2779 3 2693 3152 2751 1965 3 3471 820 3593 3435 3 2178 102 3521 3625 3 3193 1395 2014 310 3 1835 3612 1738 1975 3 2539 2107 380 290 3 1980 2683 2634 3251 3 3651 2556 3074 1711 3 2026 1564 1354 3058 3 3143 3551 1346 1408 3 2895 3272 3020 1502 3 1416 807 754 3654 3 2658 994 2806 3647 3 2655 2407 1749 1799 3 2951 2811 3611 1965 3 1645 3451 2747 2983 3 2975 2013 2920 3705 3 1482 1467 1845 2924 3 2526 205 206 3378 3 1866 687 674 3450 3 3193 1096 3082 2014 3 2550 1956 697 3250 3 2644 2255 2333 3497 3 1914 2271 1511 1109 3 2612 391 2902 374 3 2939 2019 2783 3160 3 1660 315 3425 3316 3 2257 3715 2022 636 3 1482 3206 2683 3178 3 377 323 1753 376 3 2180 1818 3560 3677 3 1931 1724 1769 2087 3 2073 2965 3178 1482 3 3588 2558 1774 1091 3 3258 944 3553 961 3 3588 308 360 1774 3 1538 238 3034 3625 3 3174 722 725 1543 3 3618 614 2769 2057 3 2344 2785 2708 3500 3 3483 2357 623 2022 3 2524 3578 2492 2422 3 3488 2358 2036 1573 3 2353 1640 3579 3462 3 2644 1602 1378 2302 3 2817 608 513 2089 3 3400 614 619 615 3 3485 1848 2267 1985 3 2630 2612 391 2902 3 2413 2810 1930 3252 3 2041 2887 2346 2269 3 2257 2502 3715 2227 3 2413 1415 1653 2810 3 372 3705 1776 370 3 2283 3718 2334 3683 3 2817 509 517 513 3 2197 1554 1019 2263 3 1660 3484 2375 1466 3 1660 316 396 315 3 3674 215 3176 3194 3 1935 2845 2745 2006 3 2257 2502 2227 2198 3 2895 2892 3233 2428 3 2701 2864 2317 2989 3 1084 1379 1047 1034 3 1950 243 173 176 3 2807 1809 2029 1379 3 2690 1936 3008 3125 3 2388 2992 3504 3514 3 2607 3256 2117 3622 3 1758 3176 213 212 3 2859 2119 440 2252 3 3286 1135 1134 1137 3 2524 1976 3197 3266 3 104 97 2584 98 3 1753 2438 1941 324 3 2081 1731 1874 2544 3 3576 806 3563 1933 3 2879 3591 2118 3588 3 3521 1977 238 3034 3 1949 1485 2689 2878 3 3249 3476 363 366 3 308 3588 359 2558 3 2173 3519 1519 3516 3 1547 1431 1430 3473 3 1935 940 950 939 3 2879 2118 3591 3581 3 2524 2492 2472 3266 3 1387 3467 2880 2025 3 2753 2445 3078 2615 3 3036 958 935 957 3 2060 2794 2571 1373 3 2060 3063 2571 1440 3 2992 3514 707 727 3 2388 3679 1727 2992 3 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1935 3030 965 950 3 3145 3345 2865 2001 3 3516 2462 1791 3199 3 1352 920 1003 1502 3 1728 1404 2650 3071 3 1377 2529 1687 2010 3 903 2466 3145 871 3 1643 822 1505 3399 3 2628 2720 1363 2915 3 2178 102 64 103 3 504 3575 3377 2657 3 1352 1020 2795 1031 3 1574 968 958 2286 3 3498 124 125 1510 3 2247 1410 2027 1987 3 3036 925 927 957 3 925 833 3068 927 3 2665 2270 2123 2699 3 1917 2636 1571 1471 3 3088 3430 1624 3689 3 1354 1688 3138 2026 3 77 2587 1859 2010 3 3622 2607 3429 2117 3 3627 3270 2097 1687 3 3047 2881 1675 2184 3 2624 1765 2109 2272 3 1417 556 527 552 3 1040 1353 3726 2308 3 3515 906 981 1964 3 3220 929 926 969 3 1440 2129 2501 2121 3 2605 2811 3686 1965 3 3400 619 3130 615 3 2551 3633 3091 2293 3 635 1367 2769 2257 3 3600 3220 2067 2621 3 3627 1888 2285 2205 3 2247 2017 1410 1987 3 2174 1440 2571 1393 3 1355 2359 2030 2557 3 3531 3590 2725 2703 3 1417 3509 2266 1961 3 3627 3270 1888 2097 3 2992 2569 690 689 3 2099 3507 3202 3258 3 2807 3455 2464 2043 3 2628 2436 1376 2915 3 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3 3204 1939 3393 1578 3 2928 2544 1576 3597 3 2257 636 635 628 3 2975 2013 1817 3604 3 3521 96 3600 3034 3 1598 3678 2696 2955 3 2163 3047 2881 1675 3 2320 3444 3044 1515 3 3450 2468 1648 3207 3 1896 3476 3586 3249 3 3091 2886 3672 2696 3 2344 3097 2417 2769 3 1578 347 330 322 3 2495 2314 2554 1948 3 1660 315 3316 1337 3 1538 262 1532 1924 3 3227 569 570 2744 3 1387 3467 3295 2880 3 1900 3681 3281 1348 3 3096 3030 3592 2791 3 3286 2961 1816 2342 3 3033 712 2770 713 3 1866 2454 684 1995 3 2122 2586 2578 2544 3 2475 3130 2862 3327 3 3204 1939 1578 322 3 3145 1382 3345 2001 3 2242 3548 3201 1989 3 3487 2889 2258 2011 3 2242 3548 1989 1493 3 1835 3612 1975 2037 3 1431 80 74 3264 3 2632 456 1497 471 3 3073 3290 3112 3035 3 2388 1727 1681 1938 3 2034 3551 3593 2035 3 2283 651 3526 2334 3 3043 2306 1820 3528 3 1660 316 2375 396 3 2992 1653 3679 1351 3 2818 3474 2277 2077 3 3227 1715 2972 2088 3 2657 1870 1431 3443 3 1389 47 52 48 3 2495 2389 1857 3140 3 126 1747 2262 3680 3 2010 3627 1687 1377 3 2078 2660 2491 1007 3 2056 2355 1982 3087 3 1847 2767 1978 3129 3 1643 3255 815 814 3 716 2683 3206 3178 3 3553 954 2338 961 3 1114 3263 1119 1074 3 1973 1053 1040 2910 3 3012 1834 2219 512 3 3566 3196 2795 2585 3 2307 1900 3681 3281 3 2630 314 388 389 3 2040 2416 2298 3097 3 2780 379 290 2539 3 3532 590 3644 2950 3 2624 2668 2955 3512 3 3088 2292 3451 3534 3 2368 1542 1940 3522 3 2095 3658 1936 2240 3 335 3726 3200 346 3 1084 1379 3392 1047 3 3521 3625 3034 238 3 2388 2359 1681 3679 3 2726 2880 3458 2899 3 2638 2018 2414 3503 3 3193 1096 1097 2064 3 3674 36 83 3194 3 3071 2403 2650 1728 3 1951 204 2458 3607 3 2644 901 2333 897 3 2812 796 3143 3593 3 3604 2403 506 625 3 2081 1731 3037 1874 3 3262 2727 1872 2525 3 3071 1404 2650 2567 3 3503 584 530 531 3 3047 1470 3374 1897 3 3465 2868 1489 1524 3 2191 3429 1670 3086 3 3234 1535 2633 2383 3 2060 1942 2571 2576 3 3531 2998 1457 3590 3 1127 1055 2532 1125 3 3603 220 219 1693 3 1957 2655 1889 2592 3 2174 1837 3384 3448 3 1677 1973 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3 3036 942 958 2092 3 1497 1445 3539 2632 3 1722 1046 3340 1126 3 2632 2597 1823 2759 3 2644 3497 2333 901 3 3575 117 3510 2993 3 1995 1073 1116 1121 3 3521 102 3034 3625 3 3047 3374 3454 1839 3 2679 654 652 2539 3 1835 3120 3686 3136 3 3088 2396 2749 2194 3 2812 3143 2796 3593 3 1929 3217 2361 1959 3 3174 722 726 725 3 3081 1825 1711 3570 3 2613 3458 1474 2899 3 2113 395 3273 393 3 2975 3715 2920 1993 3 2100 964 1563 2009 3 880 2434 876 879 3 3654 2167 755 754 3 1932 3289 1543 2073 3 2060 3422 1605 2264 3 2977 866 880 867 3 962 3331 961 3258 3 3071 2237 3312 3027 3 1917 3404 2636 1598 3 3384 2174 2571 3694 3 377 1753 1986 376 3 2060 1373 2477 2405 3 2783 1772 2019 2939 3 2589 1958 3661 3277 3 1389 3674 48 2746 3 3603 219 212 1910 3 2495 2389 3163 1948 3 3680 2262 3164 1465 3 3028 991 2697 992 3 2628 1585 2915 1363 3 2534 1810 1709 2869 3 2026 2410 2020 1591 3 2163 2094 121 3691 3 3249 3586 3067 2970 3 2344 2340 2057 2417 3 2078 2660 1007 2125 3 3193 349 2029 311 3 3193 1075 1095 1097 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L?UUUUUU@@8 ?@п@&*=?@tհA??;H@n7l?n7l?@;H@tհA?@&*=?@@L7A`?@&'ˏ?S r@Mb?Mb?S r@&'ˏ?@L7A`?@?!u?ͪ? ^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ?^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ?^)?ͪ?!u???!u?ͪ?^)?ͪ?!u???!u?ͪ?^)?ͪ?!u???!u?ͪ?^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u???!u?ͪ? ^)?ͪ?!u?????VUUUUU?UUUUUU?VUUUUU?UUUUUU?????????????VUUUUU?TUUUUU?VUUUUU?TUUUUU???? ?@4 4 (FLAVORpython h-P X3VsS (CLASSARRAY (VERSION2.3x8bezier_control_pointsbezier_weightsextraction_0extraction_1global_connectivitybezier_connectivity0 ?@4 4 (FLAVORpython H  04@VsS (CLASSARRAY (VERSION2.3 8TITLEglobal_connectivity (FLAVORnumpy H  p6@VsS (CLASSARRAY (VERSION2.3 8TITLEbezier_connectivity (FLAVORnumpyX;TREE=HEAPX(2xi10xi11xi01xi0000EZ?????????????        ! !" #$%()* !$%&)*+ !"%&'*+,   #$%*+, %&',-. !"'()./0*+,12389:?@A,-.345:;<ABC./0567<=>CDE?@AFGHMNOTUVABCHIJOPQVWXCDEJKLQRSXYZ02 (TITLEregions (CLASSGROUP (VERSION1.0 X>HVsS (CLASSARRAY (VERSION2.3 (TITLExi10SNOD A?<> (FLAVORnumpy 0 (3VsS (CLASSARRAY (VERSION2.3 (TITLExi11 (FLAVORnumpy 0 VsS (CLASSARRAY (VERSION2.3 (TITLExi01 (FLAVORnumpy 0 <3VsS (CLASSARRAY (VERSION2.3 (TITLExi00 (FLAVORnumpysfepy-release_2015.1/meshes/quantum/000077500000000000000000000000001247364230400174135ustar00rootroot00000000000000sfepy-release_2015.1/meshes/quantum/square.geo000066400000000000000000000012721247364230400214110ustar00rootroot00000000000000a = 25; lt = a; // this needs to be bigger than the stuff below, so let's just use "a" Point(1) = {-a, -a, -a, lt}; Point(2) = {-a, a, -a, lt}; Point(3) = { a, a, -a, lt}; Point(4) = { a, -a, -a, lt}; Line(1) = {1, 4}; Line(2) = {4, 3}; Line(3) = {3, 2}; Line(4) = {2, 1}; Line Loop(5) = {2, 3, 4, 1}; Plane Surface(6) = {5}; Physical Surface(1) = {6}; Field[1] = MathEval; // This is generated using the formula C - (C - F) * (Cos(3.14*x/L) + ...) / 2 // C is the characteristic element size on the boundary. // F is the characteristic element size at the centre. // L >= a scales the cosine range. Field[1].F = "10 - (10 - 0.1) * (Cos(3.14*x/50) + Cos(3.14*y/50)) / 2"; Background Field = 1; sfepy-release_2015.1/meshes/quantum/square.mesh000066400000000000000000010105521247364230400215750ustar00rootroot00000000000000MeshVersionFormatted 1 Dimension 2 Vertices 4345 -2.500000e+01 -2.500000e+01 1 -2.500000e+01 2.500000e+01 2 2.500000e+01 2.500000e+01 3 2.500000e+01 -2.500000e+01 4 -1.669875e+01 -2.500000e+01 1 -1.027347e+01 -2.500000e+01 1 -4.903761e+00 -2.500000e+01 1 -6.057732e-11 -2.500000e+01 1 4.903761e+00 -2.500000e+01 1 1.027347e+01 -2.500000e+01 1 1.669875e+01 -2.500000e+01 1 2.500000e+01 -1.669875e+01 2 2.500000e+01 -1.027347e+01 2 2.500000e+01 -4.903761e+00 2 2.500000e+01 -6.057732e-11 2 2.500000e+01 4.903761e+00 2 2.500000e+01 1.027347e+01 2 2.500000e+01 1.669875e+01 2 1.669875e+01 2.500000e+01 3 1.027347e+01 2.500000e+01 3 4.903761e+00 2.500000e+01 3 6.057732e-11 2.500000e+01 3 -4.903761e+00 2.500000e+01 3 -1.027347e+01 2.500000e+01 3 -1.669875e+01 2.500000e+01 3 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ELSET=ALL_ELEMENTS 1, 1, 2, 4, 3, 5, 6, 8, 7, 2, 5, 6, 8, 7, 9, 10, 12, 11, ** *NSET, NSET=ALL_NODES, GENERATE 1,12,1 *NSET, NSET=nodes1 1, 2, 3, *NSET, NSET=nodes2 8, 4, 5, sfepy-release_2015.1/meshes/various_formats/abaqus_quad.inp000066400000000000000000000033471247364230400241510ustar00rootroot00000000000000*Node 1, 60., 0. 2, 75., 0. 3, 53.0330086, 53.0330086 4, 48.2411499, 47.9710274 5, 0., 75. 6, 0., 60. 7, 0., 0. 8, 73.5588989, 14.6317739 9, 69.2909622, 28.7012577 10, 62.3602219, 41.6677666 11, 52.0034637, 39.2650528 12, 55.7918892, 27.3612633 13, 58.3873405, 13.9944496 14, 41.6677666, 62.3602219 15, 28.7012577, 69.2909622 16, 14.6317739, 73.5588989 17, 13.8155003, 58.7185974 18, 27.4312401, 55.7661057 19, 39.5681763, 51.6348419 20, 0., 45. 21, 0., 30. 22, 0., 15. 23, 15., 0. 24, 30., 0. 25, 45., 0. 26, 14.1053638, 44.1662369 27, 14.6026917, 29.5059052 28, 14.8809643, 14.7415533 29, 27.9379501, 42.322258 30, 28.8701019, 28.4671135 31, 29.4874115, 14.298357 32, 40.6320496, 40.2005348 33, 42.3731537, 27.503418 34, 43.8119774, 13.9490557 *Element, type=CPS4R 1, 1, 2, 8, 13 2, 13, 8, 9, 12 3, 12, 9, 10, 11 4, 11, 10, 3, 4 5, 3, 14, 19, 4 6, 14, 15, 18, 19 7, 15, 16, 17, 18 8, 16, 5, 6, 17 9, 6, 20, 26, 17 10, 20, 21, 27, 26 11, 21, 22, 28, 27 12, 22, 7, 23, 28 13, 17, 26, 29, 18 14, 26, 27, 30, 29 15, 27, 28, 31, 30 16, 28, 23, 24, 31 17, 18, 29, 32, 19 18, 29, 30, 33, 32 19, 30, 31, 34, 33 20, 31, 24, 25, 34 21, 19, 32, 11, 4 22, 32, 33, 12, 11 23, 33, 34, 13, 12 24, 34, 25, 1, 13 sfepy-release_2015.1/meshes/various_formats/abaqus_quad_tri.inp000066400000000000000000000034531247364230400250250ustar00rootroot00000000000000*Node 1, 60., 0. 2, 75., 0. 3, 53.0330086, 53.0330086 4, 48.2411499, 47.9710274 5, 0., 75. 6, 0., 60. 7, 0., 0. 8, 73.5588989, 14.6317739 9, 69.2909622, 28.7012577 10, 62.3602219, 41.6677666 11, 52.0034637, 39.2650528 12, 55.7918892, 27.3612633 13, 58.3873405, 13.9944496 14, 41.6677666, 62.3602219 15, 28.7012577, 69.2909622 16, 14.6317739, 73.5588989 17, 13.8155003, 58.7185974 18, 27.4312401, 55.7661057 19, 39.5681763, 51.6348419 20, 0., 45. 21, 0., 30. 22, 0., 15. 23, 15., 0. 24, 30., 0. 25, 45., 0. 26, 14.1053638, 44.1662369 27, 14.6026917, 29.5059052 28, 14.8809643, 14.7415533 29, 27.9379501, 42.322258 30, 28.8701019, 28.4671135 31, 29.4874115, 14.298357 32, 40.6320496, 40.2005348 33, 42.3731537, 27.503418 34, 43.8119774, 13.9490557 *Element, type=CPS4 1, 1, 2, 8, 13 2, 13, 8, 9, 12 3, 12, 9, 10, 11 4, 11, 10, 3, 4 5, 3, 14, 19, 4 6, 14, 15, 18, 19 7, 15, 16, 17, 18 8, 16, 5, 6, 17 9, 6, 20, 26, 17 10, 20, 21, 27, 26 11, 21, 22, 28, 27 12, 17, 26, 29, 18 13, 26, 27, 30, 29 14, 28, 23, 24, 31 15, 18, 29, 32, 19 16, 30, 31, 34, 33 17, 31, 24, 25, 34 18, 32, 33, 12, 11 19, 33, 34, 13, 12 20, 34, 25, 1, 13 *Element, type=CPS3 21, 32, 4, 19 22, 4, 32, 11 23, 30, 32, 29 24, 32, 30, 33 25, 28, 30, 27 26, 30, 28, 31 27, 7, 28, 22 28, 28, 7, 23 sfepy-release_2015.1/meshes/various_formats/abaqus_tet.inp000066400000000000000000000027251247364230400240120ustar00rootroot00000000000000*NODE 1, 3.535534e-001, -3.535534e-001, 0.000000e+000 2, -3.535534e-001, 3.535534e-001, 0.000000e+000 3, 0.000000e+000, 7.071068e-001, -5.000000e-001 4, -3.535534e-001, -3.535534e-001, 0.000000e+000 5, -7.071068e-001, 0.000000e+000, -5.000000e-001 6, -1.110223e-016, -7.071068e-001, -5.000000e-001 7, 7.071068e-001, 0.000000e+000, -5.000000e-001 8, 3.535534e-001, 3.535534e-001, 0.000000e+000 9, 7.071068e-001, -7.071068e-001, -5.000000e-001 10, -7.071068e-001, 7.071068e-001, -5.000000e-001 11, 0.000000e+000, 0.000000e+000, 5.000000e-001 12, -7.071068e-001, -7.071068e-001, -5.000000e-001 13, 7.071068e-001, 7.071068e-001, -5.000000e-001 *ELEMENT, TYPE=C3D4, ELSET=EB1 1, 1, 2, 3, 4 2, 2, 3, 4, 5 3, 4, 1, 6, 7 4, 3, 1, 7, 8 5, 9, 7, 6, 1 6, 4, 5, 7, 6 7, 10, 5, 3, 2 8, 2, 4, 1, 11 9, 4, 1, 7, 3 10, 8, 2, 3, 1 11, 4, 5, 6, 12 12, 8, 7, 3, 13 13, 4, 7, 5, 3 14, 8, 11, 2, 1 *NSET, NSET=NS1 7, 6, 5, 3, 13, 9, 12, 10, *NSET, NSET=NS2 11 sfepy-release_2015.1/meshes/various_formats/abaqus_tri.inp000066400000000000000000000040061247364230400240060ustar00rootroot00000000000000*Node 1, 60., 0. 2, 75., 0. 3, 53.0330086, 53.0330086 4, 48.2411499, 47.9710274 5, 0., 75. 6, 0., 60. 7, 0., 0. 8, 73.5588989, 14.6317739 9, 69.2909622, 28.7012577 10, 62.3602219, 41.6677666 11, 52.0034637, 39.2650528 12, 55.7918892, 27.3612633 13, 58.3873405, 13.9944496 14, 41.6677666, 62.3602219 15, 28.7012577, 69.2909622 16, 14.6317739, 73.5588989 17, 13.8155003, 58.7185974 18, 27.4312401, 55.7661057 19, 39.5681763, 51.6348419 20, 0., 45. 21, 0., 30. 22, 0., 15. 23, 15., 0. 24, 30., 0. 25, 45., 0. 26, 14.1053638, 44.1662369 27, 14.6026917, 29.5059052 28, 14.8809643, 14.7415533 29, 27.9379501, 42.322258 30, 28.8701019, 28.4671135 31, 29.4874115, 14.298357 32, 40.6320496, 40.2005348 33, 42.3731537, 27.503418 34, 43.8119774, 13.9490557 *Element, type=CPS3 1, 1, 2, 8 2, 8, 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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 # number of up/down pairs # Up/down sfepy-release_2015.1/meshes/various_formats/cube.bdf000066400000000000000000000245571247364230400225540ustar00rootroot00000000000000$ $ NASTRAN Bulk Data File created by Marc Mentat ============================ $ BEGIN BULK $ $ ELEMENT CONNECTIVITY ========================================================= $ CHEXA 1 1 1 2 6 5 17 18 +0000001 +000000122 21 CHEXA 2 1 2 3 7 6 18 19 +0000002 +000000223 22 CHEXA 3 1 3 4 8 7 19 20 +0000003 +000000324 23 CHEXA 4 1 5 6 10 9 21 22 +0000004 +000000426 25 CHEXA 5 1 6 7 11 10 22 23 +0000005 +000000527 26 CHEXA 6 1 7 8 12 11 23 24 +0000006 +000000628 27 CHEXA 7 1 9 10 14 13 25 26 +0000007 +000000730 29 CHEXA 8 1 10 11 15 14 26 27 +0000008 +000000831 30 CHEXA 9 1 11 12 16 15 27 28 +0000009 +000000932 31 CHEXA 10 1 17 18 22 21 33 34 +0000010 +000001038 37 CHEXA 11 1 18 19 23 22 34 35 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[__  O 0$    /CT ]   4 +n y .V K D} /q   <R `  it Ai| 4 & B4 K f   No H M q, O  " :   LA L  p  %7B   Se  Mq{ s  "^(   |DO;  S( X ~ Q  w!W l    P c y   0 9  H= f  /B X  <U Zv h ! 8 z [ 5 j z ?T - hm m 2= Y 8  Q^o & : e b - u`  7I   P d  / q Q $ P u  D7 U  *  Lo sN  = \/  v "E ~3 {?a  < sN  + H Dk  ' el  7I # g}AjL%^! D*P la# '1 M \ k q ; ' # C =  6 f [   ? t ) Yy  Ex7TSp !9  2` MVe^:}#Mg B0~J x   JL  ;  pp  ;.?   hJN  3 6 Vu c n 01 +  eM 9 0  f_  4@ g5  -]k[ 4{ ) sn:N 3Ww'` 2 + Z   ^  E  P `N   de 2O s (>   >m <  ! ]| A  _ A  v%T  COyS 5 j4OHm+  Y YZ _\  G1\    l ^j   ,; jS  ] Wl   7l ~    &S u n{    9@ u A ' tNa ? 6 Z : i{ AQ  % Nc *L  b.  [__  O 0$    /CT ]   4 +n y .V K D} /q   <R `  it Ai| 4 & B4 K f   Yo H M oq, O ' "} :  0 LA g L  )p  % B Z   e P M q  P s  "^(    z |D % ;  SOX~o[( 1"n[d !.s v G 2 C =  6 f [   ? t  ) Yy5  E xY7T Sp  !52` Veb:S}KA MgV 0@ ~ J h  L S;  p .r ?   J*N   Vuc] 0 1 xeM0Q = f 4gd5B -8 kx[ 4 ) m nN  3 w=` 2k +   t^ E  `N ;   _de > 24  s(r> P F  >m  L ! ]| | ANv%*COb jH+Y\G1 l ^  ,; S  ] Wl   7l ~   S  n{    9@u  ' tN  6 : i AQ  Nc * .  [_ O 0$   CT ] 4 +n y .VK D} q   <R `  t i| & 4 K   Yo   o, O ' "}:  0 LA g 9 )p M B Z   ^ e P # q  P s  B^(   x|DJ; S Xp~o;(1 "hn[d3  !.6 s v  G 2 n Q  + w!W l   9  P c y _   0 9@   H= f]  /B {X  <sU Z:v h ! 8 Wz [ '5 j z Z?T - hm m 2= PY 8  Q^o & :O e  b - u ` < 7I   A P d _   /  q QT  $ P uy  D47 U  *   Lo s N Z = \/   \ v "E ~3 j{ ?a  < sN  + H Dk  ' el  7I # g}AjL%^! D*P la# '1 M \ k q ; ' #a9# '1 M \ Wk q _ ' #^ C  1 6 f    ? t  ) Yy5  E xY7T Sp  !52` Veb:S}KA MgV 0@ ~ J h  L S;  p .r ?   J*N   Vuc] 0 1 xeM0Q = f 4gd5B -8 kx[ 4 ) m nx   ! 3w  = ` t k + )  t^ E   FN ;  _Qe > 24  p(r> P F  >m  ! ]|  Av%CO jH+ Yh\.G1 Kl ^   ,; S  ] Wl   7l ~   S  n{    9@u  ' tN  6 : i AQ  Nc * .  [_ O 0$   CT ] 4 +n y .VK D} q   <R `  t i| & 4 K   No   2, O  "=:   LFA g 9 p  M7B   ^Se  #q{ s  B^(   x|DOJ;   S ( Xp ~ o;) ( 1"hn[d3  ! 6 s   o G n Q' + w! l B  9  P  y _   0 9@   H= f]  /B {X  <sU Z:v h ! 8 Wz [ '5 j z Z?T - hm m 2= PY 8  Q^o & :O e  b - u ` < 7I   A P d _   /  q QT  $ P uy  D47 U  *  Lo sN  = \/  v "E ~3 {?a  < s/  + H DN    elr  7" # g}A L ^& !}  *5P) (X1"n[d ! s   oG  Q' !l B   P  y  0 9  H= f  /B X  U Zv  ! 8 z [ 5 j z ?T - hC m 2= v 8  Q^oY& : e b - u# 7I   P d D  / q Q $ P u  D7 U    Lo s  = \/ v "E ~3 ?a  e< s/  H DN    elr l 7" # g}Ac L ^& !} K *5Pva9#'1 M \ E k q '  C _ 6 f  ? t ) Y  2Ex7=TSFp !9  2 MVe^:}#M9g B0~J x   JL  =;  pp| ;.?   hJN  3 u c  n 01 +  eM 9 0  f  4@ g  -]k[ 4{ ) ]n:x  ! 3Ww  ' ` t  + Z) g  ^  E  P FN    Qe O p (   >m <  E ! ] | A  tm A  v<T  CO yS 5 j4OHm+ S Y fh_\.GX1  Kl ^ 4 M ,; jS F  ] Wl   7l ~    &S u n{   = 9@ u A ' tNa ? 6 Z : i{ 9  % Nc *L  b.  [_  O 0$   `/CT ]   ~ +n y ).V K D} /q J  <R X`  it i| 4 & B4 K f    o H M V q, O  " :   LA dL  p  %7B x  Se  M{ s  "^(   |DO;  S( X  o  !W l    P c y  0 9  H= f  /B X  U Zv  ! 8 z [ 5 j z ?T - hC m 2= v 8  Q^oY& : e b - u# 7I   P d D  / q Q $ P u  D7 U    Lo s  = \/ v "E ~3 ?a  e< sN  H Dk  ' el l 7I # g}AcL%^!K D*P vla#'1 M \ E k q ; '  C = _ 6 f [   ? t  ) Y  Ex7TSp ! 2 MVe^:}#M9g B0~J x   JL  =;  pp| ;.?   hJN  3 u c  n 01 +  eM 9 0  f  4@ g  -]k[ 4{ ) ]n:N 3Ww'` 2 + Z   ^  E  P `N   de O s (9   >m <  ! ]| A  tA  vT  COy S 5 j4OHm+ S  Y fZ _\  GX1\    l ^j B M ,; jS F  ] Wl   7l ~    &S u n{   = 9@ u A ' tNa ? 6 Z : i{ 9  % Nc *L  b.  [_  O 0$   `/CT ]   ~ +n y ).V K D} /q J  <R X`  it i| 4 & B4 K f    o H M V oq, O ' "} :  0 LA d L 9 p  % B xZ   e P M   P s  "^(   z |D % ;  SOXo[(g 1"n[d ! s v G 2 Q _ 6 f [   ? t  ) Y 5  E xY7TU Sp  !52  Veb:}KA MgV 0@ ~ J h   L =S;  p| .r ?   Jz N   uc]  0 1 xeM 0Q = f 4gd B -8 kx[ _ 4 ) m nN  3 w=` 2 +  t^ E  `N ; *  _de > 4  s(r9 P F  >m   ! ]| | tANv*COb Q jH+Sf\G1 l ^ M ,; S F  ] Wl   7l ~   S  n{   = 9@u  ' tN  6 : i 9  Nc * .  [_ O 0$  `CT ] ~ +n y .VK D} q J  <R X`  t i| & 4 K    o  V o, O ' "}:  0 LA d 9 p M B Z   ^ e P # 9  P s  B^(   x|DJ; S Xpo;(1"hn[d3  ! s v  G 2 n Q  + !W l   9  P c y   0 9@   H= f]  /B {X  ]U Z:v  ! 8 Wz  [ '5 j z Z?T - hC m 2= Pv 8  Q^oY& :O e  b - u #< 7I   A P d D   /  q QT  $ P uy  D47 U      Lo s Z = \/  \ v "E ~3 jB ?a  e< sN  H Dk  ' el l 7I # g}AcL%^!K D*P vla#'1 M \ E k q ; '  C =9#'1 M \ E k q _ ' ^ C  1_ 6 f    ? t  ) Y 5  E xY7TU Sp  !52  Veb:}KA MgV 0@ ~ J h   L =S;  p| .r ?   Jz N   uc]  0 1 xeM 0Q = f 4gd B -8 kx[ _ 4 ) m nx   ! 3w  = ` t + ) g t^ E   FN ; *  _Qe > 4  p(r P F  >m   ! ]|  tAvCO jH+S fh\.G1 Kl ^ 4 M ,; S F  ] Wl   7l ~   S  n{   = 9@u  ' tN  6 : i 9  Nc * .  [_ O 0$  `CT ] ~ +n y .VK D} q J  <R X`  t i| & 4 K    o  V 2, O  "=:   LFA d 9 p  M7B   ^Se  #9{ s  B^(   x|DOJ;   S ( Xp  o;) (X1"hn[d3  ! s   o G n Q' + ! l B  9  P  y   0 9@   H= f]  /B {X  ]U Z:v  ! 8 Wz  [ '5 j z Z?T - hC m 2= Pv 8  Q^oY& :O e  b - u #< 7I   A P d D   /  q QT  $ P uy  D47 U     Lo s  = \/ v "E ~3 ?a  e< s/  H DN    elr l 7" # g}Ac L ^& !} K *5Pvai {j |k }l ~m n o p q r s t u v w x y z { | } ~                                                                                                            ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 89:;<=>?@A B C D E FGHIJKLMNOPQRSTUVWX Y!Z"[#\$]%^&_'`(a)b*c+d,e-f.g/h0 i1 j2 k3 l4 m5n6 o 7p 8q 9r :s ;t <u =v >w ?x @y Az B{ C| D} E~ F G  H! I" J# K$ L% M& N' O( P) Q* R+ S, T- U. V/ W0 X1 Y2! 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0.87324048282265554 329 0 0.56794828364950312 1.1141034327009938 330 1.5324283749454635 -2.0324283749454635 0.43514325010907329 # Generated by /usr/bin/tetgen -pQAq1.000000 -a0.300000 tmp/t.poly sfepy-release_2015.1/meshes/various_formats/small2d.mesh000066400000000000000000000003561247364230400233640ustar00rootroot00000000000000MeshVersionFormatted 1 Dimension 2 Vertices 4 -5.00000000000e-001 -5.00000000000e-001 0 5.00000000000e-001 -5.00000000000e-001 0 5.00000000000e-001 5.00000000000e-001 0 -5.00000000000e-001 5.00000000000e-001 0 Triangles 2 1 2 3 0 3 4 1 0 sfepy-release_2015.1/meshes/various_formats/small2d.vtk000066400000000000000000000005761247364230400232400ustar00rootroot00000000000000# vtk DataFile Version 2.0 generated by mesh_to_vtk.py ASCII DATASET UNSTRUCTURED_GRID POINTS 4 float -5.00000000000e-001 -5.00000000000e-001 0.0 5.00000000000e-001 -5.00000000000e-001 0.0 5.00000000000e-001 5.00000000000e-001 0.0 -5.00000000000e-001 5.00000000000e-001 0.0 CELLS 2 8 3 0 1 2 3 2 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sfepy-release_2015.1/meshes/various_formats/tetra8.mesh3d000066400000000000000000000004121247364230400234550ustar00rootroot00000000000000# vertices 7 1 0 0 0 2 0 -1 0 0 0 0 3 0 -2 0 0 0 -3 0 0 0 # tetras 8 1 2 7 4 2 3 7 4 3 5 7 4 5 1 7 4 1 6 7 2 2 6 7 3 6 3 5 7 1 5 7 6 # hexes 0 # prisms 0 # tris 8 1 2 4 1 2 3 4 1 3 5 4 1 1 5 4 1 1 2 6 1 2 3 6 1 3 5 6 1 1 5 6 1 # quads 0 sfepy-release_2015.1/phonon.py000077500000000000000000000051711247364230400163170ustar00rootroot00000000000000#!/usr/bin/env python # 12.01.2007, c from optparse import OptionParser import sfepy from sfepy.base.base import output from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.homogenization.band_gaps_app import AcousticBandGapsApp from sfepy.base.plotutils import plt usage = """%prog [options] filename_in""" help = { 'filename' : 'basename of output file(s) [default: ]', 'detect_band_gaps' : 'detect frequency band gaps', 'analyze_dispersion' : 'analyze dispersion properties (low frequency domain)', 'plot' : 'plot frequency band gaps, assumes -b', 'phase_velocity' : 'compute phase velocity (frequency-independet mass only)' } def main(): parser = OptionParser(usage=usage, version="%prog " + sfepy.__version__) parser.add_option("-o", "", metavar='filename', action="store", dest="output_filename_trunk", default=None, help=help['filename']) parser.add_option("-b", "--band-gaps", action="store_true", dest="detect_band_gaps", default=False, help=help['detect_band_gaps']) parser.add_option("-d", "--dispersion", action="store_true", dest="analyze_dispersion", default=False, help=help['analyze_dispersion']) parser.add_option("-p", "--plot", action="store_true", dest="plot", default=False, help=help['plot']) parser.add_option("--phase-velocity", action="store_true", dest="phase_velocity", default=False, help=help['phase_velocity']) options, args = parser.parse_args() if options.plot: if plt is None: output('matplotlib.pyplot cannot be imported, ignoring option -p!') options.plot = False elif options.analyze_dispersion == False: options.detect_band_gaps = True if (len(args) == 1): filename_in = args[0]; else: parser.print_help(), return required, other = get_standard_keywords() required.remove('equations') if not options.analyze_dispersion: required.remove('solver_[0-9]+|solvers') if options.phase_velocity: required.remove('ebc_[0-9]+|ebcs') conf = ProblemConf.from_file(filename_in, required, other) app = AcousticBandGapsApp(conf, options, 'phonon:') opts = conf.options if hasattr(opts, 'parametric_hook'): # Parametric study. parametric_hook = conf.get_function(opts.parametric_hook) app.parametrize(parametric_hook) app() if __name__ == '__main__': main() sfepy-release_2015.1/postproc.py000077500000000000000000000451451247364230400166740ustar00rootroot00000000000000#!/usr/bin/env python """ This is a script for quick Mayavi-based visualizations of finite element computations results. Examples -------- The examples assume that run_tests.py has been run successfully and the resulting data files are present. - view data in output-tests/test_navier_stokes.vtk $ python postproc.py output-tests/test_navier_stokes.vtk $ python postproc.py output-tests/test_navier_stokes.vtk --3d - save a snapshot image and exit $ python postproc.py output-tests/test_poisson.vtk -o image.png -n - save a snapshot image without off-screen rendering and exit $ python postproc.py output-tests/test_poisson.vtk -o image.png \ -n --no-offscreen - create animation (forces offscreen rendering) from output-tests/test_time_poisson.*.vtk $ python postproc.py output-tests/test_time_poisson.*.vtk -a mov - create animation (forces offscreen rendering) from output-tests/test_hyperelastic.*.vtk The range specification for the displacements 'u' is required, as output-tests/test_hyperelastic.00.vtk contains only zero displacements which leads to invisible glyph size. $ python postproc.py output-tests/test_hyperelastic.*.vtk \ --ranges=u,0,0.02 -a mov - same as above, but slower frame rate $ python postproc.py output-tests/test_hyperelastic_TL.*.vtk \ --ranges=u,0,0.02 -a mov --ffmpeg-options="-r 2 -sameq" """ from optparse import OptionParser, OptionGroup import os import glob import sfepy from sfepy.base.base import assert_, get_default, output, nm from sfepy.postprocess.viewer import (Viewer, get_data_ranges, create_file_source) from sfepy.postprocess.domain_specific import DomainSpecificPlot usage = '%prog [options] filename\n' + __doc__.rstrip() help = { 'filename' : 'view image file name [default: "view.png"]', 'output_dir' : 'output directory for saving view images; ignored when -o option is' \ ' given, as the directory part of the filename is taken instead' \ ' [default: "."]', 'no_show' : 'do not call mlab.show()', 'no_offscreen' : 'force no offscreen rendering for --no-show', 'anim_format' : 'if set to a ffmpeg-supported format (e.g. mov, avi, mpg), ffmpeg is' \ ' installed and results of multiple time steps are given, an animation is' \ ' created in the same directory as the view images', 'ffmpeg_options' : 'ffmpeg animation encoding options (enclose in "") [default: "%default"]', 'step' : 'set the time step. Negative indices are allowed, -1 means the last step.' ' The closest higher step is used if the desired one is not available.' ' Has precedence over --time. [default: the first step]', 'time' : 'set the time. The closest higher time is used if the desired one is not' ' available. [default: None]', 'watch' : 'watch the results file for changes (single file mode only)', 'all' : 'draw all data (normally, node_groups and mat_id are omitted)', 'only_names' : 'draw only named data', 'list_ranges' : 'do not plot, only list names and ranges of all data', 'ranges' : 'force data ranges [default: automatic from data]', 'resolution' : 'image resolution in NxN format [default: shorter axis: 600;'\ ' depends on layout: for rowcol it is 800x600]', 'layout' : 'layout for multi-field plots, one of: rowcol, colrow, row, col, row#n, col#n,' \ ' where #n is the number of plots in the specified direction [default: %default]', 'is_3d' : '3d plot mode', 'view' : 'camera azimuth, elevation angles, and optionally also ' 'distance and focal point coordinates (without []) as in `mlab.view()` ' '[default: if --3d is True: "45,45", else: "0,0"]', 'roll' : 'camera roll angle [default: %default]', 'fgcolor' : 'foreground color, that is the color of all text annotation labels' ' (axes, orientation axes, scalar bar labels) [default: %default]', 'bgcolor' : 'background color [default: %default]', 'anti_aliasing' : 'value of anti-aliasing [default: mayavi2 default]', 'is_scalar_bar' : 'show scalar bar for each data', 'is_wireframe' : 'show wireframe of mesh surface for each data', 'group_names' : 'superimpose plots of data in each group', 'subdomains' : 'superimpose surfaces of subdomains over each data;' \ ' example value: mat_id,0,None,True', 'domain_specific' : 'domain specific drawing functions and configurations', 'scalar_mode' : 'mode for plotting scalars with --3d, one of: cut_plane, iso_surface,'\ ' both [default: %default]', 'vector_mode' : 'mode for plotting vectors, one of: arrows, norm, arrows_norm, warp_norm'\ ' [default: %default]', 'rel_scaling' : 'relative scaling of glyphs (vector field visualization)' \ ' [default: %default]', 'clamping' : 'glyph clamping mode', 'opacity' : 'opacity in [0.0, 1.0]. Can be given either globally' ' as a single float, or per module, e.g.' ' "wireframe=0.1,scalar_cut_plane=0.5". Possible keywords are: wireframe,' ' scalar_cut_plane, vector_cut_plane, surface, iso_surface,' ' arrows_surface, glyphs. [default: 1.0]', 'rel_text_width' : 'relative text annotation width [default: %default]', } def parse_view(option, opt, value, parser): vals = value.split(',') assert_(len(vals) in [2, 3, 6]) val = tuple(float(ii) for ii in vals) if len(vals) == 6: val = val[:3] + (list(val[3:]),) setattr(parser.values, option.dest, val) def parse_resolution(option, opt, value, parser): if value is not None: print value setattr(parser.values, option.dest, tuple([int(r) for r in value.split('x')])) def parse_ranges(option, opt, value, parser): if value is not None: print value ranges = {} for rng in value.split(':'): aux = rng.split(',') ranges[aux[0]] = (float(aux[1]), float(aux[2])) setattr(parser.values, option.dest, ranges) def parse_opacity(option, opt, value, parser): try: opacity = float(value) assert_(0.0 <= opacity <= 1.0) except: opacity = {} for vals in value.split(','): key, val = vals.split('=') val = float(val) assert_(0.0 <= val <= 1.0) opacity[key] = val setattr(parser.values, option.dest, opacity) def parse_group_names(option, opt, value, parser): if value is not None: print value group_names = [tuple(group.split(',')) for group in value.split(':')] setattr(parser.values, option.dest, group_names) def parse_subdomains(option, opt, value, parser): if value is not None: print value aux = value.split(',') try: tmin = int(aux[1]) except ValueError: tmin = None try: tmax = int(aux[2]) except ValueError: tmax = None subdomains_args = {'mat_id_name' : aux[0], 'threshold_limits' : (tmin, tmax), 'single_color' : aux[3] == 'True'} setattr(parser.values, option.dest, subdomains_args) def parse_domain_specific(option, opt, value, parser): if value is not None: print value out = {} confs = value.split(':') for conf in confs: aux = conf.split(',') var_name, fun_name = aux[:2] args = aux[2:] out[var_name] = DomainSpecificPlot(fun_name, args) setattr(parser.values, option.dest, out) def view_file(filename, filter_names, options, view=None): if view is None: if options.show: offscreen = False else: offscreen = get_default(options.offscreen, True) view = Viewer(filename, watch=options.watch, ffmpeg_options=options.ffmpeg_options, output_dir=options.output_dir, offscreen=offscreen) if options.only_names is not None: options.only_names = options.only_names.split(',') view(show=options.show, is_3d=options.is_3d, view=options.view, roll=options.roll, fgcolor=options.fgcolor, bgcolor=options.bgcolor, layout=options.layout, scalar_mode=options.scalar_mode, vector_mode=options.vector_mode, rel_scaling=options.rel_scaling, clamping=options.clamping, ranges=options.ranges, is_scalar_bar=options.is_scalar_bar, is_wireframe=options.is_wireframe, opacity=options.opacity, subdomains_args=options.subdomains_args, rel_text_width=options.rel_text_width, fig_filename=options.filename, resolution=options.resolution, filter_names=filter_names, only_names=options.only_names, group_names=options.group_names, step=options.step, time=options.time, anti_aliasing=options.anti_aliasing, domain_specific=options.domain_specific) else: view.set_source_filename(filename) view.save_image(options.filename) return view def main(): parser = OptionParser(usage=usage, version='%prog ' + sfepy.__version__) group = OptionGroup(parser, 'Output Options') group.add_option('-o', '--output', metavar='filename', action='store', dest='filename', default=None, help=help['filename']) group.add_option('--output-dir', metavar='directory', action='store', dest='output_dir', default=None, help=help['output_dir']) group.add_option('-n', '--no-show', action='store_false', dest='show', default=True, help=help['no_show']) group.add_option('', '--no-offscreen', action='store_false', dest='offscreen', default=None, help=help['no_offscreen']) group.add_option('-a', '--animation', metavar='', action='store', dest='anim_format', default=None, help=help['anim_format']) group.add_option('', '--ffmpeg-options', metavar='', action='store', dest='ffmpeg_options', default='-r 10 -sameq', help=help['ffmpeg_options']) parser.add_option_group(group) group = OptionGroup(parser, 'Data Options') group.add_option('--step', type='int', metavar='step', action='store', dest='step', default=None, help=help['step']) group.add_option('--time', type='float', metavar='time', action='store', dest='time', default=None, help=help['time']) group.add_option('-w', '--watch', action='store_true', dest='watch', default=False, help=help['watch']) group.add_option('--all', action='store_true', dest='all', default=False, help=help['all']) group.add_option('--only-names', metavar='list of names', action='store', dest='only_names', default=None, help=help['only_names']) group.add_option('-l', '--list-ranges', action='store_true', dest='list_ranges', default=False, help=help['list_ranges']) group.add_option('--ranges', type='str', metavar='name1,min1,max1:name2,min2,max2:...', action='callback', dest='ranges', callback=parse_ranges, help=help['ranges']) parser.add_option_group(group) group = OptionGroup(parser, 'View Options') group.add_option('-r', '--resolution', type='str', metavar='resolution', action='callback', dest='resolution', callback=parse_resolution, help=help['resolution']) group.add_option('--layout', metavar='layout', action='store', dest='layout', default='rowcol', help=help['layout']) group.add_option('--3d', action='store_true', dest='is_3d', default=False, help=help['is_3d']) group.add_option('--view', type='str', metavar='angle,angle[,distance[,focal_point]]', action='callback', dest='view', callback=parse_view, help=help['view']) group.add_option('--roll', type='float', metavar='angle', action='store', dest='roll', default=0.0, help=help['roll']) group.add_option('--fgcolor', metavar='R,G,B', action='store', dest='fgcolor', default='0.0,0.0,0.0', help=help['fgcolor']) group.add_option('--bgcolor', metavar='R,G,B', action='store', dest='bgcolor', default='1.0,1.0,1.0', help=help['bgcolor']) group.add_option('--anti-aliasing', type='int', metavar='value', action='store', dest='anti_aliasing', default=None, help=help['anti_aliasing']) parser.add_option_group(group) group = OptionGroup(parser, 'Custom Plots Options') group.add_option('-b', '--scalar-bar', action='store_true', dest='is_scalar_bar', default=False, help=help['is_scalar_bar']) group.add_option('', '--wireframe', action='store_true', dest='is_wireframe', default=False, help=help['is_wireframe']) group.add_option('--group-names', type='str', metavar='name1,...,nameN:...', action='callback', dest='group_names', callback=parse_group_names, help=help['group_names']) group.add_option('--subdomains', type='str', metavar='mat_id_name,threshold_limits,single_color', action='callback', dest='subdomains_args', callback=parse_subdomains, default=None, help=help['subdomains']) group.add_option('-d', '--domain-specific', type='str', metavar='"var_name0,function_name0,' \ 'par0=val0,par1=val1,...:var_name1,..."', action='callback', dest='domain_specific', callback=parse_domain_specific, default=None, help=help['domain_specific']) parser.add_option_group(group) group = OptionGroup(parser, 'Mayavi Options') group.add_option('--scalar-mode', metavar='mode', action='store', dest='scalar_mode', default='iso_surface', help=help['scalar_mode']) group.add_option('--vector-mode', metavar='mode', action='store', dest='vector_mode', default='arrows_norm', help=help['vector_mode']) group.add_option('-s', '--scale-glyphs', type='float', metavar='scale', action='store', dest='rel_scaling', default=0.05, help=help['rel_scaling']) group.add_option('--clamping', action='store_true', dest='clamping', default=False, help=help['clamping']) group.add_option('--opacity', type='str', metavar='opacity', action='callback', dest='opacity', callback=parse_opacity, help=help['opacity']) group.add_option('--rel-text-width', type='float', metavar='width', action='store', dest='rel_text_width', default=0.02, help=help['rel_text_width']) parser.add_option_group(group) options, args = parser.parse_args() if len(args) >= 1: if len(args) == 1: filenames = glob.glob(args[0]) filenames.sort() else: filenames = args else: parser.print_help(), return options.fgcolor = tuple([float(ii) for ii in options.fgcolor.split(',')]) assert_(len(options.fgcolor) == 3) options.bgcolor = tuple([float(ii) for ii in options.bgcolor.split(',')]) assert_(len(options.bgcolor) == 3) can_save = not options.show # Output dir / file names. if options.filename is None: can_save = False options.filename = 'view.png' if options.output_dir is None: options.output_dir = '.' else: options.output_dir, options.filename = os.path.split(options.filename) # Data filtering, if not options.all: filter_names = ['node_groups', 'mat_id'] else: filter_names = [] if options.anim_format is not None: # Do not call show when saving an animation. options.show = False if options.list_ranges: all_ranges = {} for ii, filename in enumerate(filenames): output('%d: %s' % (ii, filename)) file_source = create_file_source(filename) if (options.step is None) and (options.time is None): steps, _ = file_source.get_ts_info() else: if options.step is not None: step, _ = file_source.get_step_time(step=options.step) else: step, _ = file_source.get_step_time(time=options.time) steps = [step] if not len(steps): steps = [0] for iis, step in enumerate(steps): output('%d: step %d' %(iis, step)) file_source.get_step_time(step=step) source = file_source.create_source() ranges = get_data_ranges(source, return_only=True) for key, val in ranges.iteritems(): all_ranges.setdefault(key, []).append(val[3:]) if (len(filenames) > 1) or (len(steps) > 1): output('union of ranges:') else: output('ranges:') for key, ranges in all_ranges.iteritems(): aux = nm.array(ranges) mins = aux[:, [0, 2]].min(axis=0) maxs = aux[:, [1, 3]].max(axis=0) output(' items: %s,%e,%e' % (key, mins[0], maxs[0])) output(' norms: %s,%e,%e' % (key, mins[1], maxs[1])) else: if len(filenames) == 1: filenames = filenames[0] view = view_file(filenames, filter_names, options) if can_save: view.save_image(options.filename) if options.anim_format is not None: view.save_animation(options.filename) view.encode_animation(options.filename, options.anim_format, options.ffmpeg_options) if __name__ == '__main__': main() sfepy-release_2015.1/probe.py000077500000000000000000000217241247364230400161270ustar00rootroot00000000000000#!/usr/bin/env python # 12.01.2007, c """ Probe finite element solutions in points defined by various geometrical probes. Generation mode --------------- Probe the data in the results file corresponding to the problem defined in the input file. The input file options must contain 'gen_probes' and 'probe_hook' keys, pointing to proper functions accessible from the input file scope. For each probe returned by `gen_probes()` a data plot figure and a text file with the data plotted are saved, see the options below. Generation options ------------------ -o, --auto-dir, --same-dir, -f, --only-names, -s Postprocessing mode ------------------- Read a previously probed data from the probe text file, re-plot them, and integrate them along the probe. Postprocessing options ---------------------- --postprocess, --radial, --only-names Notes ----- For extremely thin hexahedral elements the Newton's iteration for finding the reference element coordinates might converge to a spurious solution outside of the element. To obtain some values even in this case, try increasing the --close-limit option value. """ import os from optparse import OptionParser import numpy as nm import sfepy from sfepy.base.base import output, assert_ from sfepy.base.ioutils import edit_filename from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.discrete import Problem from sfepy.discrete.fem import MeshIO from sfepy.discrete.probes import write_results, read_results usage = """%prog [generation options] %prog [postprocessing options]

        """ + __doc__.rstrip() help = { 'filename' : 'basename of output file(s) [default: ]', 'output_format' : 'output figure file format (supported by the matplotlib backend used) '\ '[default: %default]', 'auto_dir' : 'the directory of the results file is determined automatically using the '\ '"output_dir" option in input file options', 'same_dir' : 'store the probe figures/data in the directory of the results file', 'only_names' : 'probe only named data', 'step' : 'probe the given time step', 'close_limit' : 'maximum limit distance of a point from the closest element allowed' ' for extrapolation. [default: %default]', 'postprocess' : 'postprocessing mode', 'radial' : 'assume radial integration', } def generate_probes(filename_input, filename_results, options, conf=None, problem=None, probes=None, labels=None, probe_hooks=None): """ Generate probe figures and data files. """ if conf is None: required, other = get_standard_keywords() conf = ProblemConf.from_file(filename_input, required, other) opts = conf.options if options.auto_dir: output_dir = opts.get_('output_dir', '.') filename_results = os.path.join(output_dir, filename_results) output('results in: %s' % filename_results) io = MeshIO.any_from_filename(filename_results) step = options.step if options.step >= 0 else io.read_last_step() all_data = io.read_data(step) output('loaded:', all_data.keys()) output('from step:', step) if options.only_names is None: data = all_data else: data = {} for key, val in all_data.iteritems(): if key in options.only_names: data[key] = val if problem is None: problem = Problem.from_conf(conf, init_equations=False, init_solvers=False) if probes is None: gen_probes = conf.get_function(conf.options.gen_probes) probes, labels = gen_probes(problem) if probe_hooks is None: probe_hooks = {None : conf.get_function(conf.options.probe_hook)} if options.output_filename_trunk is None: options.output_filename_trunk = problem.ofn_trunk filename_template = options.output_filename_trunk \ + ('_%%d.%s' % options.output_format) if options.same_dir: filename_template = os.path.join(os.path.dirname(filename_results), filename_template) output_dir = os.path.dirname(filename_results) for ip, probe in enumerate(probes): output(ip, probe.name) probe.set_options(close_limit=options.close_limit) for key, probe_hook in probe_hooks.iteritems(): out = probe_hook(data, probe, labels[ip], problem) if out is None: continue if isinstance(out, tuple): fig, results = out else: fig = out if key is not None: filename = filename_template % (key, ip) else: filename = filename_template % ip if fig is not None: if isinstance(fig, dict): for fig_name, fig_fig in fig.iteritems(): fig_filename = edit_filename(filename, suffix='_' + fig_name) fig_fig.savefig(fig_filename) output('figure ->', os.path.normpath(fig_filename)) else: fig.savefig(filename) output('figure ->', os.path.normpath(filename)) if results is not None: txt_filename = edit_filename(filename, new_ext='.txt') write_results(txt_filename, probe, results) output('data ->', os.path.normpath(txt_filename)) def integrate_along_line(x, y, is_radial=False): """ Integrate numerically (trapezoidal rule) a function :math:`y=y(x)`. If is_radial is True, multiply each :math:`y` by :math:`4 \pi x^2`. """ dx = nm.diff(x) ay = 0.5 * (y[:-1] + y[1:]) if is_radial: ax = 0.5 * (x[:-1] + x[1:]) val = 4.0 * nm.pi * nm.sum(ay * dx * (ax**2)) else: val = nm.sum(ay * dx) return val def postprocess(filename_input, filename_results, options): """ Postprocess probe data files - replot, integrate data. """ from matplotlib import pyplot as plt header, results = read_results(filename_input, only_names=options.only_names) output(header) fig = plt.figure() for name, result in results.iteritems(): pars, vals = result[:, 0], result[:, 1] ii = nm.where(nm.isfinite(vals))[0] # Nans only at the edges. assert_(nm.diff(ii).sum() == (len(ii)-1)) val = integrate_along_line(pars[ii], vals[ii], options.radial) label = r'%s: $\int\ %s' % (name, name) if options.radial: label += ' (r)' label += '$ = %.5e'% val plt.plot(pars, vals, label=label, lw=0.2, marker='+', ms=1) plt.ylabel('probed data') plt.xlabel('probe coordinate') output(label) plt.legend() fig.savefig(filename_results) def main(): parser = OptionParser(usage=usage, version='%prog ' + sfepy.__version__) parser.add_option('-o', '', metavar='filename', action='store', dest='output_filename_trunk', default=None, help=help['filename']) parser.add_option('', '--auto-dir', action='store_true', dest='auto_dir', default=False, help=help['auto_dir']) parser.add_option('', '--same-dir', action='store_true', dest='same_dir', default=False, help=help['same_dir']) parser.add_option('-f', '--format', metavar='format', action='store', dest='output_format', default='png', help=help['output_format']) parser.add_option('--only-names', metavar='list of names', action='store', dest='only_names', default=None, help=help['only_names']) parser.add_option('-s', '--step', type='int', metavar='step', action='store', dest='step', default=0, help=help['step']) parser.add_option('-c', '--close-limit', type='float', metavar='distance', action='store', dest='close_limit', default=0.1, help=help['close_limit']) parser.add_option('-p', '--postprocess', action='store_true', dest='postprocess', default=False, help=help['postprocess']) parser.add_option('--radial', action='store_true', dest='radial', default=False, help=help['radial']) options, args = parser.parse_args() if (len(args) == 2): filename_input, filename_results = args else: parser.print_help(), return if options.only_names is not None: options.only_names = options.only_names.split(',') output.prefix = 'probe:' if options.postprocess: postprocess(filename_input, filename_results, options) else: generate_probes(filename_input, filename_results, options) if __name__ == '__main__': main() sfepy-release_2015.1/run_tests.py000077500000000000000000000154341247364230400170470ustar00rootroot00000000000000#!/usr/bin/env python """ Notes on writing new test files: -------------------------------- A test file can contain anything, but usually it is similar to a regular input file (defining a test problem), with a mandatory Test class. This class holds all the test_* functions, as well as the from_conf(), which serves to initialize the test (conf is in fact the test file itself, options are command-line options). All variables defined in a test file are collected in 'conf' variable passed to a Test.__init__(). For example, 'input_name' in test_input_*.py files is accessible as 'conf.input_name'. This is usefull if the test class is defined outside the test file, as the classes in tests_basic.py are. The test_* functions are collected automatically by run_tests.py, with one exception: if a certain order of their evaluation is required, a class attribute 'test' of the Test class with a list of the test function names should be defined (example: test_meshio.py).""" import sys import time import os import os.path as op from optparse import OptionParser import sfepy from sfepy.base.conf import ProblemConf, get_standard_keywords class OutputFilter(object): def __init__(self, allowed_lines): self.allowed_lines = allowed_lines self.msg_type1 = ['...', '!!!', '+++', '---'] self.msg_type2 = ['<<<', '>>>'] self.start() def start(self): self.stdout = sys.stdout sys.stdout = self def write(self, msg): if self.stdout is not None: msg_type = msg[:3] if msg_type in self.allowed_lines: if msg_type in self.msg_type1: msg = ''.join((msg[:3], ' ', msg[3:])) elif msg_type in self.msg_type2: msg = msg[4:] self.stdout.write(msg) self.stdout.write('\n') def stop(self): sys.stdout = self.stdout self.stdout = None def run_test(conf_name, options): try: os.makedirs(options.out_dir) except OSError, e: if e.errno != 17: # [Errno 17] File exists raise if options.filter_none or options.debug: of = None elif options.filter_less: of = OutputFilter(['<<<', '>>>', '...', '!!!', '+++', '---']) elif options.filter_more: of = OutputFilter(['+++', '---']) else: of = OutputFilter(['<<<', '+++', '---']) print '<<< %s' % conf_name _required, other = get_standard_keywords() required = ['Test'] num = 1 test_time = 0.0 try: conf = ProblemConf.from_file(conf_name, required, _required + other) test = conf.funmod.Test.from_conf(conf, options) num = test.get_number() ok = True print '>>> test instance prepared (%d test(s))' % num except KeyboardInterrupt: print '>>> interrupted' sys.exit(0) except: print '--- test instance creation failed' if options.debug: raise ok, n_fail, n_total = False, num, num if ok: try: tt = time.clock() ok, n_fail, n_total = test.run(options.debug) test_time = time.clock() - tt except KeyboardInterrupt: print '>>> interrupted' sys.exit(0) except Exception, e: print '>>> %s' % e.__class__ if options.debug: raise ok, n_fail, n_total = False, num, num if ok: print '>>> all passed in %.2f s' % test_time else: print '!!! %s test failed' % n_fail if of is not None: of.stop() return n_fail, n_total, test_time def wrap_run_tests(options): def run_tests(stats, dir_name, filenames): filenames = [filename for filename in sorted(filenames) if (len(filename) > 8) and filename[:5] == 'test_' and filename[-3:] == '.py'] print '<<< directory: %s, test files: %d' % (dir_name, len(filenames)) for filename in filenames: conf_name = op.join(dir_name, filename) n_fail, n_total, test_time = run_test(conf_name, options) stats[0] += 1 stats[1] += n_fail stats[2] += n_total stats[3] += test_time return run_tests def get_dir(default): if sfepy.in_source_tree: out = default else: out = op.normpath(op.join(sfepy.data_dir, default)) return out usage = """%prog [options] [test_filename[ test_filename ...]]""" help = { 'dir' : 'directory with tests [default: %default]', 'out_dir' : 'directory for storing test results and temporary files' ' [default: %default]', 'debug' : 'raise silenced exceptions to see what was wrong', 'filter-none' : 'do not filter any messages', 'filter-less' : 'filter output (suppress all except test messages)', 'filter-more' : 'filter output (suppress all except test result messages)', 'print-doc' : 'print the docstring of this file (howto write new tests)', } def main(): parser = OptionParser(usage=usage, version="%prog " + sfepy.__version__) parser.add_option("", "--print-doc", action="store_true", dest="print_doc", default=False, help=help['print-doc']) parser.add_option("-d", "--dir", metavar='directory', action="store", dest="test_dir", default=get_dir('tests'), help=help['dir']) parser.add_option("-o", "--output", metavar='directory', action="store", dest="out_dir", default=get_dir('output-tests'), help=help['out_dir']) parser.add_option("", "--debug", action="store_true", dest="debug", default=False, help=help['debug']) parser.add_option("", "--filter-none", action="store_true", dest="filter_none", default=False, help=help['filter-none']) parser.add_option("", "--filter-less", action="store_true", dest="filter_less", default=False, help=help['filter-less']) parser.add_option("", "--filter-more", action="store_true", dest="filter_more", default=False, help=help['filter-more']) options, args = parser.parse_args() if options.print_doc: print __doc__ return run_tests = wrap_run_tests(options) stats = [0, 0, 0, 0.0] if len(args) >= 1: for test_filename in args: dirname, filename = op.split(test_filename) run_tests(stats, dirname, [filename]) else: op.walk(options.test_dir, run_tests, stats) print '%d test file(s) executed in %.2f s, %d failure(s) of %d test(s)'\ % (stats[0], stats[3], stats[1], stats[2]) if __name__ == '__main__': main() sfepy-release_2015.1/schroedinger.py000077500000000000000000000107161247364230400174730ustar00rootroot00000000000000#!/usr/bin/env python """ Solver for basic electronic structure problems. Examples -------- Compute the 2D predefined problems:: $ ./schroedinger.py --well $ ./schroedinger.py --oscillator $ ./schroedinger.py --hydrogen $ ./schroedinger.py --boron See ``examples/quantum/`` directory for the problem description files corresponding to the above examples. """ import os from optparse import OptionParser import sfepy from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.physics.schroedinger_app import SchroedingerApp def fix_path(filename): return os.path.join(sfepy.data_dir, filename) usage = """%prog [options] [filename_in]\n""" + __doc__.rstrip() help = { 'conf' : 'override problem description file items, written as python' ' dictionary without surrounding braces', 'options' : 'override options item of problem description,' ' written as python dictionary without surrounding braces', 'filename' : 'basename of output file(s) [default: ]', 'well' : 'solve infinite potential well (particle in a box) problem', 'oscillator' : 'solve spherically symmetric linear harmonic oscillator ' '(1 electron) problem', 'hydrogen' : 'solve the hydrogen atom', 'boron' : 'solve the boron atom with 1 electron', 'n_eigs' : 'number of eigenpairs to compute [default: as set in the examples]', 'tau' : 'target value of the Pysparse eigenvalue solver. Eigenvalues in the' ' vicinity of tau will be computed [default: as set in the examples]', } def main(): parser = OptionParser(usage=usage, version='%prog ' + sfepy.__version__) parser.add_option('-c', '--conf', metavar='"key : value, ..."', action='store', dest='conf', type='string', default=None, help= help['conf']) parser.add_option('-O', '--options', metavar='"key : value, ..."', action='store', dest='app_options', type='string', default=None, help=help['options']) parser.add_option('-o', '', metavar='filename', action='store', dest='output_filename_trunk', default=None, help=help['filename']) parser.add_option('--oscillator', action='store_true', dest='oscillator', default=False, help=help['oscillator']) parser.add_option('--well', action='store_true', dest='well', default=False, help=help['well']) parser.add_option('--hydrogen', action='store_true', dest='hydrogen', default=False, help=help['hydrogen']) parser.add_option('--boron', action='store_true', dest='boron', default=False, help=help['boron']) parser.add_option('-n', '--n-eigs', type='int', metavar='int', action='store', dest='n_eigs', default=None, help=help['n_eigs']) parser.add_option('-t', '--tau', type='float', metavar='float', action='store', dest='tau', default=None, help=help['tau']) options, args = parser.parse_args() if len(args) == 1: filename_in = args[0]; elif len(args) == 0: if options.oscillator: filename_in = fix_path("examples/quantum/oscillator.py") elif options.well: filename_in = fix_path("examples/quantum/well.py") elif options.hydrogen: filename_in = fix_path("examples/quantum/hydrogen.py") elif options.boron: filename_in = fix_path("examples/quantum/boron.py") else: parser.print_help() return else: parser.print_help() return define_args = {} if options.n_eigs is not None: define_args['n_eigs'] = options.n_eigs if options.tau is not None: define_args['tau'] = options.tau required, other = get_standard_keywords() conf = ProblemConf.from_file_and_options(filename_in, options, required, other, define_args=define_args) app = SchroedingerApp(conf, options, 'schroedinger:') opts = conf.options if hasattr(opts, 'parametric_hook'): # Parametric study. parametric_hook = conf.get_function(opts.parametric_hook) app.parametrize(parametric_hook) app() if __name__ == '__main__': main() sfepy-release_2015.1/script/000077500000000000000000000000001247364230400157415ustar00rootroot00000000000000sfepy-release_2015.1/script/blockgen.py000077500000000000000000000050301247364230400201000ustar00rootroot00000000000000#!/usr/bin/env python """ Block mesh generator. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm from sfepy.base.base import output from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.discrete.fem.meshio import MeshIO usage = '%prog [options]\n' + __doc__.rstrip() help = { 'filename' : 'output file name [default: %default]', 'format' : 'output mesh format (overrides output file name extension)', 'dims' : 'dimensions of the block [default: %default]', 'shape' : 'shape (counts of nodes in x, y, z) of the block [default: %default]', 'centre' : 'centre of the block [default: %default]', '2d' : 'generate a 2D rectangular mesh, the third components of the above' ' options are ignored', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-o', '', metavar='filename', action='store', dest='output_filename', default='out.vtk', help=help['filename']) parser.add_option('-f', '--format', metavar='format', action='store', type='string', dest='format', default=None, help=help['format']) parser.add_option('-d', '--dims', metavar='dims', action='store', dest='dims', default='[1.0, 1.0, 1.0]', help=help['dims']) parser.add_option('-s', '--shape', metavar='shape', action='store', dest='shape', default='[11, 11, 11]', help=help['shape']) parser.add_option('-c', '--centre', metavar='centre', action='store', dest='centre', default='[0.0, 0.0, 0.0]', help=help['centre']) parser.add_option('-2', '--2d', action='store_true', dest='is_2d', default=False, help=help['2d']) (options, args) = parser.parse_args() dim = 2 if options.is_2d else 3 dims = nm.array(eval(options.dims), dtype=nm.float64)[:dim] shape = nm.array(eval(options.shape), dtype=nm.int32)[:dim] centre = nm.array(eval(options.centre), dtype=nm.float64)[:dim] output.prefix = 'blockgen:' output('dimensions:', dims) output('shape:', shape) output('centre:', centre) mesh = gen_block_mesh(dims, shape, centre, name=options.output_filename) io = MeshIO.for_format(options.output_filename, format=options.format, writable=True) mesh.write(options.output_filename, io=io) if __name__ == '__main__': main() sfepy-release_2015.1/script/convert_mesh.py000077500000000000000000000100641247364230400210130ustar00rootroot00000000000000#!/usr/bin/env python """ Convert a mesh file from one SfePy-supported format to another. Examples:: $ ./script/convert_mesh.py meshes/3d/cylinder.mesh new.vtk $ ./script/convert_mesh.py meshes/3d/cylinder.mesh new.vtk -s2.5 $ ./script/convert_mesh.py meshes/3d/cylinder.mesh new.vtk -s0.5,2,1 $ ./script/convert_mesh.py meshes/3d/cylinder.mesh new.vtk -s0.5,2,1 -c 0 """ import sys sys.path.append('.') from optparse import OptionParser from sfepy.base.base import nm, output from sfepy.discrete.fem import Mesh, FEDomain from sfepy.discrete.fem.meshio import (output_writable_meshes, MeshIO, supported_cell_types) usage = '%prog [options] filename_in filename_out\n' + __doc__.rstrip() help = { 'scale' : 'scale factor (float or comma-separated list for each axis)' ' [default: %default]', 'center' : 'center of the output mesh (0 for origin or' ' comma-separated list for each axis) applied after scaling' ' [default: %default]', 'refine' : 'uniform refinement level [default: %default]', 'format' : 'output mesh format (overrides filename_out extension)', 'list' : 'list supported writable output mesh formats', } def _parse_val_or_vec(option, name, parser): if option is not None: try: try: option = float(option) except ValueError: option = [float(ii) for ii in option.split(',')] option = nm.array(option, dtype=nm.float64, ndmin=1) except: output('bad %s! (%s)' % (name, option)) parser.print_help() sys.exit(1) return option def main(): parser = OptionParser(usage=usage) parser.add_option('-s', '--scale', metavar='scale', action='store', dest='scale', default=None, help=help['scale']) parser.add_option('-c', '--center', metavar='center', action='store', dest='center', default=None, help=help['center']) parser.add_option('-r', '--refine', metavar='level', action='store', type=int, dest='refine', default=0, help=help['refine']) parser.add_option('-f', '--format', metavar='format', action='store', type='string', dest='format', default=None, help=help['format']) parser.add_option('-l', '--list', action='store_true', dest='list', help=help['list']) (options, args) = parser.parse_args() if options.list: output_writable_meshes() sys.exit(0) if len(args) != 2: parser.print_help() sys.exit(1) scale = _parse_val_or_vec(options.scale, 'scale', parser) center = _parse_val_or_vec(options.center, 'center', parser) filename_in, filename_out = args mesh = Mesh.from_file(filename_in) if scale is not None: if len(scale) == 1: tr = nm.eye(mesh.dim, dtype=nm.float64) * scale elif len(scale) == mesh.dim: tr = nm.diag(scale) else: raise ValueError('bad scale! (%s)' % scale) mesh.transform_coors(tr) if center is not None: cc = 0.5 * mesh.get_bounding_box().sum(0) shift = center - cc tr = nm.c_[nm.eye(mesh.dim, dtype=nm.float64), shift[:, None]] mesh.transform_coors(tr) if options.refine > 0: domain = FEDomain(mesh.name, mesh) output('initial mesh: %d nodes %d elements' % (domain.shape.n_nod, domain.shape.n_el)) for ii in range(options.refine): output('refine %d...' % ii) domain = domain.refine() output('... %d nodes %d elements' % (domain.shape.n_nod, domain.shape.n_el)) mesh = domain.mesh io = MeshIO.for_format(filename_out, format=options.format, writable=True) cell_types = ', '.join(supported_cell_types[io.format]) output('writing [%s] %s...' % (cell_types, filename_out)) mesh.write(filename_out, io=io) output('...done') if __name__ == '__main__': main() sfepy-release_2015.1/script/cylindergen.py000077500000000000000000000100601247364230400206160ustar00rootroot00000000000000#!/usr/bin/env python import sys sys.path.append( '.' ) from optparse import OptionParser from sfepy.mesh.mesh_generators import gen_cylinder_mesh from sfepy.discrete.fem.meshio import MeshIO usage = """%prog [options] Cylinder mesh generator. """ help = { 'filename' : 'output file name [default: %default]', 'format' : 'output mesh format (overrides output file name extension)', 'axis' : 'axis of the cylinder, one of x, y, z [default: %default]', 'dims' : 'dimensions of the cylinder: inner surface semi-axes a1, b1, outer'\ ' surface semi-axes a2, b2, length [default: %default]', 'shape' : 'shape (counts of nodes in radial, circumferential and longitudinal'\ ' directions) of the cylinder mesh [default: %default]', 'centre' : 'centre of the cylinder [default: %default]', 'force_hollow' : 'force hollow mesh even if inner radii a1 = b1 = 0', 'is_open' : 'generate an open cylinder segment', 'open_angle' : 'opening angle in radians [default: %default]', 'non_uniform' : 'space the mesh nodes in radial direction so that the element'\ ' volumes are (approximately) the same, making thus the elements towards'\ ' the outer surface thinner', } def main(): parser = OptionParser( usage = usage, version = "%prog" ) parser.add_option( "-o", "", metavar = 'filename', action = "store", dest = "output_filename", default = 'out.vtk', help = help['filename'] ) parser.add_option('-f', '--format', metavar='format', action='store', type='string', dest='format', default=None, help=help['format']) parser.add_option( "-a", "--axis", metavar = 'axis', action = "store", dest = "axis", default = 'x', help = help['axis'] ) parser.add_option( "-d", "--dims", metavar = 'dims', action = "store", dest = "dims", default = '[1.0, 1.0, 2.0, 2.0, 3.0]', help = help['dims'] ) parser.add_option( "-s", "--shape", metavar = 'shape', action = "store", dest = "shape", default = '[11, 11, 11]', help = help['shape'] ) parser.add_option( "-c", "--centre", metavar = 'centre', action = "store", dest = "centre", default = '[0.0, 0.0, 0.0]', help = help['centre'] ) parser.add_option( "", "--force-hollow", action = "store_true", dest = "force_hollow", default = False, help = help['force_hollow'] ) parser.add_option( "", "--is-open", action = "store_true", dest = "is_open", default = False, help = help['is_open'] ) parser.add_option( "", "--open-angle", metavar = 'angle', type='float', action = "store", dest = "open_angle", default = '0.0', help = help['open_angle'] ) parser.add_option( "", "--non-uniform", action = "store_true", dest = "non_uniform", default = False, help = help['non_uniform'] ) (options, args) = parser.parse_args() import numpy as nm dims = eval( "nm.array( %s, dtype = nm.float64 )" % options.dims ) shape = eval( "nm.array( %s, dtype = nm.int32 )" % options.shape ) centre = eval( "nm.array( %s, dtype = nm.float64 )" % options.centre ) print dims print shape print centre mesh = gen_cylinder_mesh(dims, shape, centre, axis=options.axis, force_hollow=options.force_hollow, is_open=options.is_open, open_angle=options.open_angle, non_uniform=options.non_uniform, name=options.output_filename) io = MeshIO.for_format(options.output_filename, format=options.format, writable=True) mesh.write(options.output_filename, io=io) if __name__ == '__main__': main() sfepy-release_2015.1/script/edit_identifiers.py000077500000000000000000000040471247364230400216350ustar00rootroot00000000000000#!/usr/bin/env python """ Convert mixedCase identifiers to under_scores. """ import sys, re, os ## # Taken from http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/66009. def cw2us(x): # capwords to underscore notation # return re.sub(r'(?<=[a-z])[A-Z]', r"_\g<0>", x).lower() return re.sub(r'(?<=[a-z])[A-Z]|(?", x).lower() def mc2us(x): # mixed case to underscore notation return cw2us(x) def us2mc(x): # underscore to mixed case notation return re.sub(r'_([a-z])', lambda m: (m.group(1).upper()), x) def us2cw(x): # underscore to capwords notation s = us2mc(x) return s[0].upper()+s[1:] ## misc = '[\'\"\[\]\(\)\{\}]' mixed = '^%s*(?=[^A-Z])[a-z]+' % misc match_candidate = re.compile(mixed).match def split_on(token, chars): if len(chars) == 1: return token.split(chars[0]) else: aux = token.split(chars[0]) out = [] for item in aux: out.extend(split_on(item, chars[1:])) return out def edit(line): count = 0 aux = line.split() if len(aux) > 2: if aux[0] == 'from' and aux[2] == 'import': aux = aux[3:] elif aux[0] == 'import': aux = aux[3:] for token in aux: for item in split_on(token, '.,=*/+-_'): if match_candidate(item): line = line.replace(item, cw2us(item), 1) count += 1 return line, count def main(): write = True for name in sys.argv[1:]: print name rfd = open(name, 'r') path = os.path.dirname(name) base = os.path.basename(name) new_name = os.path.join(path, 'new_' + base) if write: wfd = open(new_name, 'w') n_edit = 0 for line in rfd: eline, count = edit(line) if write: wfd.write(eline) n_edit += count rfd.close() print '%d edit candidates' % n_edit if write: wfd.close() os.rename(new_name, name) if __name__ == '__main__': main() sfepy-release_2015.1/script/eval_ns_forms.py000077500000000000000000000153121247364230400211550ustar00rootroot00000000000000""" Operators present in the FE discretization of (adjoint) Navier-Stokes terms. """ import sympy as s def create_scalar(name, n_ep): vec = s.zeros(n_ep, 1) for ip in range(n_ep): vec[ip,0] = '%s%d' % (name, ip) return vec def create_vector(name, n_ep, dim): """ordering is DOF-by-DOF""" vec = s.zeros(dim * n_ep, 1) for ii in range(dim): for ip in range(n_ep): vec[n_ep*ii+ip,0] = '%s%d%d' % (name, ii, ip) return vec def create_scalar_base(name, n_ep): phi = s.zeros(1, n_ep) for ip in range(n_ep): phi[0,ip] = '%s%d' % (name, ip) return phi def create_vector_base(name, phic, dim): n_ep = phic.shape[1] phi = s.zeros(dim, dim * n_ep) indx = [] for ii in range(dim): phi[ii,n_ep*ii:n_ep*(ii+1)] = phic indx.append(ii) return phi, indx def create_scalar_base_grad(name, phic, dim): n_ep = phic.shape[1] gc = s.zeros(dim, n_ep) for ii in range(dim): for ip in range(n_ep): gc[ii,ip] = '%s%d%d' % (name, ii, ip) return gc def create_vector_base_grad(name, gc, transpose=False): dim, n_ep = gc.shape g = s.zeros(dim * dim, dim * n_ep) indx = [] if transpose: for ir in range(dim): for ic in range(dim): g[dim*ir+ic,n_ep*ic:n_ep*(ic+1)] = gc[ir,:] indx.append((ic, ir)) else: for ir in range(dim): for ic in range(dim): g[dim*ir+ic,n_ep*ir:n_ep*(ir+1)] = gc[ic,:] indx.append((ir, ic)) return g, indx def create_u_operator(u, transpose=False): dim = u.shape[0] op_u = s.zeros(dim * dim, dim) if transpose: for ir in range(dim): for ic in range(dim): op_u[dim*ir+ic,ic] = u[ir] else: for ii in range(dim): op_u[dim*ii:dim*(ii+1),ii] = u return op_u def grad_vector_to_matrix(name, gv): dim2 = gv.shape[0] dim = int(s.sqrt(dim2)) gm = s.zeros(dim, dim) for ir in range(dim): for ic in range(dim): gm[ir,ic] = gv[dim*ir+ic,0] return gm def substitute_continuous(expr, names, u, phi): pu = phi * u for ii in range(phi.rows): expr = expr.subs(pu[ii,0], names[ii]) return expr def create_vector_var_data(name, phi, vindx, g, gt, vgindx, u): gu = g * u gum = grad_vector_to_matrix('gum', gu) print 'g %s:\n' % name, gum gut = gt * u gutm = grad_vector_to_matrix('gutm', gut) print 'gt %s:\n' % name, gutm pu = phi * u names = ['c%s%d' % (name, indx) for indx in vindx] cu = substitute_continuous(pu, names, u, phi) print 'continuous %s:\n' % name, cu gnames = ['cg%s%d_%d' % (name, indx[0], indx[1]) for indx in vgindx] cgu = substitute_continuous(gu, gnames, u, g) cgum = grad_vector_to_matrix('gum', cgu) print 'continuous g %s:\n' % name, cgum cgut = substitute_continuous(gut, gnames, u, g) cgutm = grad_vector_to_matrix('gutm', cgut) print 'continuous gt %s:\n' % name, cgutm op_u = create_u_operator(cu) print op_u op_ut = create_u_operator(cu, transpose=True) print op_ut out = { 'g' : gu, 'g_m' : gum, 'q' : pu, 'c' : cu, 'cg' : cgu, 'cg_m' : cgum, 'cgt' : cgut, 'cgt_m' : cgutm, 'op' : op_u, 'opt' : op_ut, 'names' : names, 'gnames' : gnames, } return out def create_scalar_var_data(name, phi, g, u): gu = g * u pu = phi * u names = ['c%s' % name] cu = substitute_continuous(pu, names, u, phi) print 'continuous %s:\n' % name, cu gnames = ['cg%s_%d' % (name, ii) for ii in range(g.shape[0])] cgu = substitute_continuous(gu, gnames, u, g) print 'continuous g %s:\n' % name, cgu op_gu = create_u_operator(cgu) print op_gu out = { 'g' : gu, 'q' : pu, 'c' : cu, 'cg' : cgu, 'gop' : op_gu, 'names' : names, 'gnames' : gnames, } return out def main(): n_ep = 3 dim = 2 u = create_vector('u', n_ep, dim) v = create_vector('v', n_ep, dim) b = create_vector('b', n_ep, dim) p = create_scalar('p', n_ep) q = create_scalar('q', n_ep) r = create_scalar('r', n_ep) print u print v phic = create_scalar_base('phic', n_ep) phi, vindx = create_vector_base('phi', phic, dim) gc = create_scalar_base_grad('gc', phic, dim) g, vgindx = create_vector_base_grad('g', gc) gt, aux = create_vector_base_grad('gt', gc, transpose=True) print phi print phic print gc print g print gt ud = create_vector_var_data('u', phi, vindx, g, gt, vgindx, u) vd = create_vector_var_data('v', phi, vindx, g, gt, vgindx, v) bd = create_vector_var_data('b', phi, vindx, g, gt, vgindx, b) pd = create_scalar_var_data('p', phic, gc, p) qd = create_scalar_var_data('q', phic, gc, q) rd = create_scalar_var_data('r', phic, gc, r) print ud.keys() assert bool(bd['op'].T * g == bd['opt'].T * gt) assert bool(bd['opt'].T * g == bd['op'].T * gt) assert bool(bd['cgt_m'] == bd['cg_m'].T) print '((b * grad) u), v)' form1 = vd['c'].T * bd['op'].T * ud['cg'] form2 = vd['c'].T * bd['opt'].T * ud['cgt'] print form1 print form2 print bool(form1 == form2) print '((v * grad) u), b)' form1 = vd['c'].T * bd['op'].T * ud['cgt'] form2 = vd['c'].T * bd['opt'].T * ud['cg'] print form1 print form2 print bool(form1 == form2) print '((u * grad) v), b)' form1 = vd['cgt'].T * bd['op'] * ud['c'] form2 = vd['cg'].T * bd['opt'] * ud['c'] print form1 print form2 print bool(form1 == form2) print '((b * grad) v), u)' form1 = vd['cg'].T * bd['op'] * ud['c'] form2 = vd['cgt'].T * bd['opt'] * ud['c'] print form1 print form2 print bool(form1 == form2) print '((v * grad) b), u)' form1 = vd['c'].T * bd['cgt_m'] * ud['c'] form2 = vd['c'].T * bd['cg_m'].T * ud['c'] print form1 print form2 print bool(form1 == form2) print '((b * grad) u), (b * grad) v)' form1 = vd['cg'].T * bd['op'] * bd['op'].T * ud['cg'] print form1 print '((u * grad) b), (b * grad) v)' form1 = vd['cg'].T * bd['op'] * bd['cg_m'] * ud['c'] print form1 print '(grad p, (b * grad) v)' form1 = vd['cg'].T * bd['op'] * pd['cg'] print form1 print '(grad q, (b * grad) u)' form1 = qd['cg'].T * bd['op'].T * ud['cg'] print form1 print '(grad q, (u * grad) b)' form1 = qd['cg'].T * bd['cg_m'] * ud['c'] print form1 print '(grad r, (u * grad) v)' form1 = vd['cgt'].T * rd['gop'] * ud['c'] print form1 return ud, vd, bd, pd, qd, rd if __name__ == '__main__': ud, vd, bd, pd, qd, rd = main() sfepy-release_2015.1/script/eval_tl_forms.py000066400000000000000000000055221247364230400211530ustar00rootroot00000000000000""" Operators present in the FE discretization of hyperelastic terms in the total Lagrangian formulation. """ import sympy as s def main(): u1, u2, u3 = s.symbols(['u1', 'u2', 'u3'], commutative=False) u = s.Matrix([[u1], [u2], [u3]]) g1, g2, g3 = s.symbols(['g1', 'g2', 'g3'], commutative=False) gc = s.Matrix([[g1], [g2], [g3]]) aux = s.symbols(['u11', 'u12', 'u13', 'u21', 'u22', 'u23', 'u31', 'u32', 'u33'], commutative=False) u11, u12, u13, u21, u22, u23, u31, u32, u33 = aux aux = s.symbols(['f11', 'f12', 'f13', 'f21', 'f22', 'f23', 'f31', 'f32', 'f33'], commutative=False) f11, f12, f13, f21, f22, f23, f31, f32, f33 = aux print gc ## z = s.zeros((3, 1)) ## g = s.Matrix([[gc, z, z], ## [z, gc, z], ## [z, z, gc]]) g = s.Matrix([[g1, 0, 0], [g2, 0, 0], [g3, 0, 0], [0, g1, 0], [0, g2, 0], [0, g3, 0], [0, 0, g1], [0, 0, g2], [0, 0, g3]]) print g print g * u h = s.Matrix([[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0]]) print h print 'linear part:' print h * g * u print h * g a = s.Matrix([[u11, 0, 0, u21, 0, 0, u31, 0, 0], [0, u12, 0, 0, u22, 0, 0, u32, 0], [0, 0, u13, 0, 0, u23, 0, 0, u33], [u12, u11, 0, u22, u21, 0, u32, u31, 0], [u13, 0, u11, u23, 0, u21, u33, 0, u31], [0, u13, u12, 0, u23, u22, 0, u33, u32]]) print a print (h + a) * g * u b = (h + a) * g s.pprint(b) a = s.Matrix([[u11+1, 0, 0, u21, 0, 0, u31, 0, 0], [0, u12, 0, 0, u22+1, 0, 0, u32, 0], [0, 0, u13, 0, 0, u23, 0, 0, u33+1], [u12, u11+1, 0, u22+1, u21, 0, u32, u31, 0], [u13, 0, u11+1, u23, 0, u21, u33+1, 0, u31], [0, u13, u12, 0, u23, u22+1, 0, u33+1, u32]]) print a print a * g * u b2 = a * g s.pprint(b2) print b == b2 u11p, u22p, u33p = s.symbols(['u11p', 'u22p', 'u33p'], commutative=False) a = s.Matrix([[u11p, 0, 0, u21, 0, 0, u31, 0, 0], [0, u12, 0, 0, u22p, 0, 0, u32, 0], [0, 0, u13, 0, 0, u23, 0, 0, u33p], [u12, u11p, 0, u22p, u21, 0, u32, u31, 0], [u13, 0, u11p, u23, 0, u21, u33p, 0, u31], [0, u13, u12, 0, u23, u22p, 0, u33p, u32]]) print a print a * g * u b = a * g s.pprint(b) if __name__ == '__main__': main() sfepy-release_2015.1/script/extract_surface.py000077500000000000000000000111251247364230400215000ustar00rootroot00000000000000#!/usr/bin/env python # 05.10.2005, c """ Given a mesh file, this script extracts its surface and prints it to stdout in form of a list where each row is [element, face, component]. A component corresponds to a contiguous surface region - for example, a cubical mesh with a spherical hole has two surface components. Two surface faces sharing a single node belong to one component. With '-m' option, a mesh of the surface is created and saved in '/surf_.mesh'. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm import scipy.sparse as sp import sfepy from sfepy.base.base import output from sfepy.base.ioutils import edit_filename from sfepy.discrete.fem import Mesh, FEDomain from sfepy.discrete.fem.extmods.cmesh import create_mesh_graph, graph_components def _get_facets(vertices, offsets, ii, n_fp): facets = [] for ic in range(n_fp): facets.append(vertices[offsets[ii] + ic][:, None]) facets = nm.concatenate(facets, axis=1) return nm.ascontiguousarray(facets.astype(nm.int32)) def get_surface_faces(domain): cmesh = domain.cmesh faces = cmesh.get_surface_facets() vertices_f, offs_f = cmesh.get_incident(0, faces, cmesh.dim - 1, ret_offsets=True) n_fp = nm.diff(offs_f) surf_faces = [] itri = nm.where(n_fp == 3)[0] if itri.size: surf_faces.append(_get_facets(vertices_f, offs_f, itri, 3)) itet = nm.where(n_fp == 4)[0] if itet.size: surf_faces.append(_get_facets(vertices_f, offs_f, itet, 4)) cells_c, offs_c = cmesh.get_incident(cmesh.dim, faces, cmesh.dim - 1, ret_offsets=True) ids = cmesh.get_local_ids(faces, cmesh.dim - 1, cells_c, offs_c, cmesh.dim) lst = nm.c_[cells_c, ids] return lst, surf_faces def surface_graph(surf_faces, n_nod): nnz, prow, icol = create_mesh_graph(n_nod, n_nod, len(surf_faces), surf_faces, surf_faces) data = nm.empty((nnz,), dtype=nm.int32) data.fill(2) return sp.csr_matrix((data, icol, prow), (n_nod, n_nod)) def surface_components(gr_s, surf_faces): """ Determine surface components given surface mesh connectivity graph. """ n_nod = gr_s.shape[0] n_comp, flag = graph_components(n_nod, gr_s.indptr, gr_s.indices) comps = [] for ii, face in enumerate(surf_faces): comp = flag[face[:,0]] comps.append(comp) return n_comp, comps usage = """%prog [options] filename_in|- filename_out|- '-' is for stdin, stdout """ + __doc__.rstrip() def main(): parser = OptionParser(usage=usage, version="%prog " + sfepy.__version__) parser.add_option("-m", "--mesh", action="store_true", dest="save_mesh", default=False, help="save surface mesh") parser.add_option("-n", "--no-surface", action="store_true", dest="no_surface", default=False, help="do not output surface [default: %default]") (options, args) = parser.parse_args() if (len(args) == 2): filename_in = args[0]; filename_out = args[1]; else: parser.print_help(), return if (filename_in == '-'): file_in = sys.stdin else: file_in = open(filename_in, "r"); mesh = Mesh.from_file(filename_in) if (filename_in != '-'): file_in.close() domain = FEDomain('domain', mesh) domain.setup_groups() if domain.has_faces(): domain.fix_element_orientation() lst, surf_faces = get_surface_faces(domain) surf_mesh = Mesh.from_surface(surf_faces, mesh) if options.save_mesh: aux = edit_filename(filename_in, prefix='surf_', new_ext='.mesh') surf_mesh.write(aux, io='auto') if options.no_surface: return gr_s = surface_graph(surf_faces, mesh.n_nod) n_comp, comps = surface_components(gr_s, surf_faces) output('number of surface components:', n_comp) ccs, comps = comps, nm.zeros((0,1), nm.int32) for cc in ccs: comps = nm.concatenate((comps, cc[:,nm.newaxis]), 0) out = nm.concatenate((lst, comps), 1) if (filename_out == '-'): file_out = sys.stdout else: file_out = open(filename_out, "w"); for row in out: file_out.write('%d %d %d\n' % (row[0], row[1], row[2])) if (filename_out != '-'): file_out.close() if __name__=='__main__': main() sfepy-release_2015.1/script/gen_gallery.py000077500000000000000000000475601247364230400206220ustar00rootroot00000000000000#!/usr/bin/env python """ Generate the images and rst files for gallery of SfePy examples. The following steps need to be made to regenerate the documentation with the updated example files: 1. Generate the files: - for sfepy.org deployment:: $ ./script/gen_gallery.py -l ../doc-devel - for local test build run from ./:: $ ./script/gen_gallery.py -l doc/_build/html/ 2. remove doc/examples/:: $ rm -rf doc/examples/ 3. copy gallery/examples/ to doc/:: $ cp -a gallery/examples/ doc/ 4. regenerate the documentation:: $ python setup.py htmldocs Additional steps for sfepy.org deployment: - copy doc/_build/html/ to /doc-devel/ - copy gallery/gallery.html and gallery/images/ to / """ import sys sys.path.append( '.' ) import os import tempfile import glob import re from optparse import OptionParser import matplotlib.image as image import sfepy from sfepy.base.base import (get_default, ordered_iteritems, import_file, output, Struct) from sfepy.base.ioutils import (ensure_path, locate_files, remove_files, edit_filename) from sfepy.postprocess.domain_specific import DomainSpecificPlot omits = [ 'vibro_acoustic3d_mid.py', 'linear_elastic_mM.py', 'time_poisson_explicit.py', 'its2D_5.py', 'linear_elastic_probes.py', '__init__.py', ] omit_dirs = [ re.compile('.*output.*/').match, ] custom = { 'acoustics/acoustics3d.py' : { '_p_1' : { 'view' : (44, 57, 0.24, [-0.004, -0.007, 0.09]), 'roll' : 0, }, '_p_2' : { 'view' : (-99, 120, 0.4, [0.0, 0.0, 0.07]), 'roll' : 141, }, }, 'acoustics/vibro_acoustic3d.py' : { '_p1' : { 'view' : (45.0, 54.7, 1.47, [0.0, 0.0, 0.05]), 'roll' : -120, }, '_p2' : { 'view' : (45.0, 54.7, 1.47, [0.0, 0.0, 0.15]), 'roll' : -120, }, '_w' : { 'view' : (0.0, 0.0, 0.86, [0.0, 0.0, 0.1]), 'roll' : 0, }, '_g0' : { 'view' : (0.0, 0.0, 0.86, [0.0, 0.0, 0.1]), 'roll' : 0, }, }, 'diffusion/laplace_1d.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 't' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1']), }, 'view' : (-90, 90, 1.5, [0, 0, 0]), 'roll' : 0, 'opacity' : {'wireframe' : 0.3}, }, }, 'diffusion/laplace_coupling_lcbcs.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 'u1' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1']), 'u2' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1']), }, 'view' : (-82, 50, 3.6, [-0.43, -0.55, 0.4]), 'roll' : -23, 'opacity' : {'wireframe' : 0.3}, }, }, 'diffusion/poisson_iga.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 't' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1']), }, 'view' : (55, 39, 6.6, [-0.35, -0.29, 0.35]), 'roll' : 15, 'opacity' : {'wireframe' : 0.3}, }, }, 'diffusion/sinbc.py' : { '_t' : { 'is_wireframe' : True, 'domain_specific' : { 't' : DomainSpecificPlot('plot_warp_scalar', ['rel_scaling=1']), }, 'view' : (-170, 30, 4.7, [0.34, 0.23, -0.26]), 'roll' : 71, 'opacity' : {'wireframe' : 0.3}, }, '_grad' : { 'opacity' : {'surface' : 0.3}, 'view' : (-170, 30, 4.7, [0.34, 0.23, -0.26]), 'roll' : 71, }, }, 'linear_elasticity/elastic_contact_planes.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 'u' : DomainSpecificPlot('plot_displacements', ['rel_scaling=1']), }, 'view' : (-82, 47, 3.4, [-0.5, -0.24, -0.2]), 'roll' : -8.4, 'opacity' : {'wireframe' : 0.3}, }, }, 'linear_elasticity/elastic_contact_sphere.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 'u' : DomainSpecificPlot('plot_displacements', ['rel_scaling=1']), }, 'view' : (-82, 47, 3.4, [-0.5, -0.24, -0.2]), 'roll' : -8.4, 'opacity' : {'wireframe' : 0.3}, }, }, 'linear_elasticity/elastic_shifted_periodic.py' : { '' : { 'is_wireframe' : True, 'only_names' : ['u'], 'domain_specific' : { 'u' : DomainSpecificPlot('plot_displacements', ['rel_scaling=1', 'color_kind="scalars"', 'color_name="von_mises_stress"']), }, 'view' : (142, 39, 16, [-4.7, -2.1, -1.9]), 'roll' : 8.4, 'opacity' : {'wireframe' : 0.3}, }, }, 'linear_elasticity/linear_elastic_iga.py' : { '' : { 'is_wireframe' : True, 'domain_specific' : { 'u' : DomainSpecificPlot('plot_displacements', ['rel_scaling=1']), }, 'view' : (-37, 51, 1.5, [-0.28, -0.29, 0.0]), 'roll' : -51.5, 'opacity' : {'wireframe' : 0.2}, }, }, 'navier_stokes/stokes_slip_bc.py' : { '' : { 'view' : (-63, 52, 5.2, [-1.5, -0.65, 0.12]), 'roll' : -32, 'resolution' : (800, 600), 'layout' : 'col', 'rel_scaling' : 0.1, }, }, 'thermo_elasticity/thermo_elasticity_ess.py' : { '' : { 'is_wireframe' : True, 'only_names' : ['u'], 'domain_specific' : { 'u' : DomainSpecificPlot('plot_displacements', ['rel_scaling=1000', 'color_kind="scalars"', 'color_name="T"']), }, 'view' : (-51, 71, 12.9, [-2.3, -2.4, -0.2]), 'roll' : -65, 'opacity' : {'wireframe' : 0.3}, }, } } def _omit(filename): omit = False base = os.path.basename(filename) if base in omits: omit = True for omit_dir in omit_dirs: if omit_dir(filename) is not None: omit = True break return omit def _get_fig_filenames(ebase, images_dir): fig_base = os.path.splitext(ebase)[0].replace(os.path.sep, '-') yield fig_base if ebase in custom: suffixes = sorted(custom[ebase].keys()) for suffix in suffixes: fig_filename = os.path.join(images_dir, fig_base + suffix + '.png') yield fig_filename else: fig_filename = os.path.join(images_dir, fig_base + '.png') yield fig_filename def _get_fig_filename(ebase, images_dir, suffix): fig_base = os.path.splitext(ebase)[0].replace(os.path.sep, '-') fig_filename = os.path.join(images_dir, fig_base + suffix + '.png') return fig_filename def _make_sphinx_path(path, relative=False): if relative: aux = path.replace(sfepy.data_dir, '') prefix = ('..' + os.path.sep) * aux.count(os.path.sep) sphinx_path = prefix[:-1] + aux else: sphinx_path = path.replace(sfepy.data_dir, '/..') return sphinx_path def generate_images(images_dir, examples_dir): """ Generate images from results of running examples found in `examples_dir` directory. The generated images are stored to `images_dir`, """ from sfepy.applications import solve_pde from sfepy.postprocess.viewer import Viewer from sfepy.postprocess.utils import mlab prefix = output.prefix output_dir = tempfile.mkdtemp() trunk = os.path.join(output_dir, 'result') options = Struct(output_filename_trunk=trunk, output_format='vtk', save_ebc=False, save_ebc_nodes=False, save_regions=False, save_field_meshes=False, save_regions_as_groups=False, solve_not=False) default_views = {'' : {}} ensure_path(images_dir + os.path.sep) view = Viewer('', offscreen=False) for ex_filename in locate_files('*.py', examples_dir): if _omit(ex_filename): continue output.level = 0 output.prefix = prefix ebase = ex_filename.replace(examples_dir, '')[1:] output('trying "%s"...' % ebase) try: problem, state = solve_pde(ex_filename, options=options) except KeyboardInterrupt: raise except: problem = None output('***** failed! *****') if problem is not None: if ebase in custom: views = custom[ebase] else: views = default_views tsolver = problem.get_time_solver() if tsolver.ts is None: suffix = None else: suffix = tsolver.ts.suffix % (tsolver.ts.n_step - 1) filename = problem.get_output_name(suffix=suffix) for suffix, kwargs in views.iteritems(): fig_filename = _get_fig_filename(ebase, images_dir, suffix) fname = edit_filename(filename, suffix=suffix) output('displaying results from "%s"' % fname) disp_name = fig_filename.replace(sfepy.data_dir, '') output('to "%s"...' % disp_name.lstrip(os.path.sep)) view.filename = fname view(scene=view.scene, show=False, is_scalar_bar=True, **kwargs) view.save_image(fig_filename) mlab.clf() output('...done') remove_files(output_dir) output('...done') def generate_thumbnails(thumbnails_dir, images_dir, scale=0.3): """ Generate thumbnails into `thumbnails_dir` corresponding to images in `images_dir`. """ ensure_path(thumbnails_dir + os.path.sep) output('generating thumbnails...') filenames = glob.glob(os.path.join(images_dir, '*.png')) for fig_filename in filenames: ebase = fig_filename.replace(sfepy.data_dir, '').lstrip(os.path.sep) output('"%s"' % ebase) base = os.path.basename(fig_filename) thumb_filename = os.path.join(thumbnails_dir, base) image.thumbnail(fig_filename, thumb_filename, scale=scale) output('...done') _index = """\ .. _%s-gallery-examples-index: %s %s .. toctree:: :maxdepth: 2 """ _image = '.. image:: %s' _include = """\ .. _%s: %s %s **Description** %s %s :download:`source code <%s>` .. literalinclude:: %s """ def generate_rst_files(rst_dir, examples_dir, images_dir): """ Generate Sphinx rst files for examples in `examples_dir` with images in `images_dir` and put them into `rst_dir`. Returns ------- dir_map : dict The directory mapping of examples and corresponding rst files. """ ensure_path(rst_dir + os.path.sep) output('generating rst files...') dir_map = {} for ex_filename in locate_files('*.py', examples_dir): if _omit(ex_filename): continue ebase = ex_filename.replace(examples_dir, '')[1:] base_dir = os.path.dirname(ebase) rst_filename = os.path.basename(ex_filename).replace('.py', '.rst') dir_map.setdefault(base_dir, []).append((ex_filename, rst_filename)) for dirname, filenames in dir_map.iteritems(): filenames = sorted(filenames, cmp=lambda a, b: cmp(a[1], b[1])) dir_map[dirname ] = filenames # Main index. mfd = open(os.path.join(rst_dir, 'index.rst'), 'w') mfd.write(_index % ('sfepy', 'Examples', '=' * 8)) for dirname, filenames in ordered_iteritems(dir_map): full_dirname = os.path.join(rst_dir, dirname) ensure_path(full_dirname + os.path.sep) # Subdirectory index. ifd = open(os.path.join(full_dirname, 'index.rst'), 'w') ifd.write(_index % (dirname, dirname, '=' * len(dirname))) for ex_filename, rst_filename in filenames: full_rst_filename = os.path.join(full_dirname, rst_filename) output('"%s"' % full_rst_filename.replace(rst_dir, '')[1:]) rst_filename_ns = rst_filename.replace('.rst', '') ebase = ex_filename.replace(examples_dir, '')[1:] rst_ex_filename = _make_sphinx_path(ex_filename) docstring = get_default(import_file(ex_filename).__doc__, 'missing description!') ifd.write(' %s\n' % rst_filename_ns) fig_include = '' fig_base = _get_fig_filenames(ebase, images_dir).next() for fig_filename in _get_fig_filenames(ebase, images_dir): rst_fig_filename = _make_sphinx_path(fig_filename) if os.path.exists(fig_filename): fig_include += _image % rst_fig_filename + '\n' # Example rst file. fd = open(full_rst_filename, 'w') fd.write(_include % (fig_base, ebase, '=' * len(ebase), docstring, fig_include, rst_ex_filename, rst_ex_filename)) fd.close() ifd.close() mfd.write(' %s/index\n' % dirname) mfd.close() output('...done') return dir_map _gallery_template_file = os.path.join(sfepy.top_dir, 'doc/gallery_template.html') _link_template = """\
        """ _side_links="
      • %s
        • " _div_line ="""\

        %s

        %s
        """ def generate_gallery_html(examples_dir, output_filename, gallery_dir, rst_dir, thumbnails_dir, dir_map, link_prefix): """ Generate the gallery html file with thumbnail images and links to examples. Parameters ---------- output_filename : str The output html file name. gallery_dir : str The top level directory of gallery files. rst_dir : str The full path to rst files of examples within `gallery_dir`. thumbnails_dir : str The full path to thumbnail images within `gallery_dir`. dir_map : dict The directory mapping returned by `generate_rst_files()` link_prefix : str, optional The prefix to prepend to links to individual pages of examples. """ output('generating %s...' % output_filename) with open(_gallery_template_file, 'r') as fd: gallery_template = fd.read() div_lines=[] sidebar = [] for dirname, filenames in ordered_iteritems(dir_map): full_dirname = os.path.join(rst_dir, dirname) dirnamenew = dirname.replace("_"," ") sidebarline = _side_links % (dirname, dirnamenew.title()) lines = [] for ex_filename, rst_filename in filenames: full_rst_filename = os.path.join(full_dirname, rst_filename) ebase = full_rst_filename.replace(rst_dir, '')[1:] ebase = edit_filename(ebase, new_ext='.py') link_base = full_rst_filename.replace(gallery_dir, '')[1:] link = os.path.join(link_prefix, os.path.splitext(link_base)[0] + '.html') _get_fig_filenames(ebase, thumbnails_dir).next() for thumbnail_filename in _get_fig_filenames(ebase, thumbnails_dir): if not os.path.isfile(thumbnail_filename): # Skip examples with no image (= failed examples). continue thumbnail_name = thumbnail_filename.replace(gallery_dir, '')[1:] path_to_file = os.path.join(examples_dir,ebase) docstring = get_default(import_file(path_to_file).__doc__, 'missing description!') docstring = docstring.replace('e.g.', 'eg:') docstring = docstring.split('.') line = _link_template % (link,os.path.splitext(ebase)[0], thumbnail_name,link,docstring[0]+'.') lines.append(line) if(len(lines)!=0): div_lines.append(_div_line % (dirname, dirnamenew.title(), dirname, '\n'.join(lines))) sidebar.append(sidebarline) fd = open(output_filename, 'w') fd.write(gallery_template % ((link_prefix,) * 7 + ('\n'.join(sidebar), '\n'.join(div_lines)))) fd.close() output('...done') usage = '%prog [options]\n' + __doc__.rstrip() help = { 'examples_dir' : 'directory containing examples [default: %default]', 'images_dir' : 'directory where to store gallery images [default: gallery/images]', 'no_images' : 'do not (re)generate images and thumbnails', 'output_filename' : 'output file name [default: %default]', 'link_prefix' : 'prefix to be prepended to links to examples pages in gallery ' '[default: %default]', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-e', '--examples-dir', metavar='directory', action='store', dest='examples_dir', default='examples', help=help['examples_dir']) parser.add_option('-i', '--images-dir', metavar='directory', action='store', dest='images_dir', default=None, help=help['images_dir']) parser.add_option('-n', '--no-images', action='store_true', dest='no_images', default=False, help=help['no_images']) parser.add_option('-o', '--output', metavar='output_filename', action='store', dest='output_filename', default='gallery/gallery.html', help=help['output_filename']) parser.add_option('-l', '--link-prefix', metavar='prefix', action='store', dest='link_prefix', default='http://sfepy.org/doc-devel', help=help['link_prefix']) (options, args) = parser.parse_args() examples_dir = os.path.realpath(options.examples_dir) output_filename = os.path.realpath(options.output_filename) gallery_dir = os.path.dirname(output_filename) images_dir = get_default(options.images_dir, os.path.join(gallery_dir, 'images')) thumbnails_dir = os.path.join(images_dir, 'thumbnails') rst_dir = os.path.join(gallery_dir, 'examples') if not options.no_images: generate_images(images_dir, examples_dir) generate_thumbnails(thumbnails_dir, images_dir) dir_map = generate_rst_files(rst_dir, examples_dir, images_dir) generate_gallery_html(examples_dir,output_filename, gallery_dir, rst_dir, thumbnails_dir, dir_map, link_prefix=options.link_prefix) if __name__ == '__main__': main() sfepy-release_2015.1/script/gen_iga_patch.py000077500000000000000000000143041247364230400210700ustar00rootroot00000000000000#!/usr/bin/env python """ Generate a single IGA patch block in 2D or 3D of given degrees and continuity using igakit. The grid has equally-spaced knot vectors. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm from sfepy.base.base import output from sfepy.discrete.iga.domain_generators import gen_patch_block_domain import sfepy.discrete.iga.plot_nurbs as pn import sfepy.discrete.iga.io as io usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'filename' : 'output file name [default: block%dd.iga]', 'dims' : 'dimensions of the block [default: %default]', 'centre' : 'centre of the block [default: %default]', 'shape' : 'numbers of unique knot values along each axis [default: %default]', 'degrees' : 'NURBS degrees along each axis [default: %default]', 'continuity' : 'NURBS continuity along each axis [default: degrees-1]', 'cp_mode' : "The control points mode. The default 'greville' results in a uniform" " Bezier mesh, while the 'uniform' mode results in a uniform grid of" " control points a finer Bezier mesh inside the block and a coarser" " Bezier mesh near the block boundary.", '2d' : 'generate a 2D block, the third components of the above' ' options are ignored', 'plot' : 'plot parametric, control and Bezier meshes as well as 1D basis slices', 'label' : 'label control and Bezier mesh points in figures', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-o', '', metavar='filename', action='store', dest='filename', default=None, help=helps['filename']) parser.add_option('-d', '--dims', metavar='dims', action='store', dest='dims', default='[1.0, 1.0, 1.0]', help=helps['dims']) parser.add_option('-c', '--centre', metavar='centre', action='store', dest='centre', default='[0.0, 0.0, 0.0]', help=helps['centre']) parser.add_option('-s', '--shape', metavar='shape', action='store', dest='shape', default='[5, 5, 5]', help=helps['shape']) parser.add_option('', '--degrees', metavar='degrees', action='store', dest='degrees', default='[2, 2, 2]', help=helps['degrees']) parser.add_option('', '--continuity', metavar='continuity', action='store', dest='continuity', default=None, help=helps['continuity']) parser.add_option('', '--cp-mode', metavar="'greville' or 'uniform'", action='store', dest='cp_mode', choices=['greville', 'uniform'], default='greville', help=helps['cp_mode']) parser.add_option('-2', '--2d', action='store_true', dest='is_2d', default=False, help=helps['2d']) parser.add_option('-p', '--plot', action='store_true', dest='plot', default=False, help=helps['plot']) parser.add_option('-l', '--label', action='store_true', dest='label', default=False, help=helps['label']) (options, args) = parser.parse_args() dim = 2 if options.is_2d else 3 filename = options.filename if filename is None: filename = 'block%dd.iga' % dim dims = nm.array(eval(options.dims), dtype=nm.float64)[:dim] centre = nm.array(eval(options.centre), dtype=nm.float64)[:dim] shape = nm.array(eval(options.shape), dtype=nm.int32)[:dim] degrees = nm.array(eval(options.degrees), dtype=nm.int32)[:dim] if options.continuity is None: continuity = degrees - 1 else: continuity = nm.array(eval(options.continuity), dtype=nm.int32)[:dim] n_dofs = degrees + 1 + (shape - 2) * (degrees - continuity) output('dimensions:', dims) output('centre: ', centre) output('shape: ', shape) output('degrees: ', degrees) output('continuity:', continuity) output('cp_mode: ', options.cp_mode) output('-> :', filename) output('number of DOFs per axis:', n_dofs) nurbs, bmesh, regions = gen_patch_block_domain(dims, shape, centre, degrees, continuity=continuity, cp_mode=options.cp_mode, name='block', verbose=True) io.write_iga_data(filename, nurbs.knots, nurbs.degrees, nurbs.cps, nurbs.weights, nurbs.cs, nurbs.conn, bmesh.cps, bmesh.weights, bmesh.conn, regions) if options.plot: pn.plt.rcParams['lines.linewidth'] = 2 block = nurbs.nurbs ax = pn.plot_parametric_mesh(None, block.knots) ax.set_title('parametric mesh') ax.axis('equal') points = block.points[..., :dim] ax = pn.plot_control_mesh(None, points, label=options.label) ax = pn.plot_iso_lines(ax, block) ax.set_title('control mesh and iso lines (blue)' ' in Greville abscissae coordinates') ax.axis('equal') points = bmesh.cps ax = pn.plot_bezier_mesh(None, points, bmesh.conn, block.degree, label=options.label) ax = pn.plot_iso_lines(ax, block) ax.set_title('Bezier mesh and iso lines (blue)' ' in Greville abscissae coordinates') ax.axis('equal') pn.plt.rcParams['lines.linewidth'] = 3 line = block.extract(0, 0.5) if dim == 3: line = line.extract(0, 0.5) ax = pn.plot_nurbs_basis_1d(None, line, n_points=1000, legend=options.label) ax.set_xlabel('last parametric coordinate') ax.set_title('1D NURBS basis') ax = pn.plot_nurbs_basis_1d(None, line, n_points=1000, x_axis=dim-1, legend=options.label) ax.set_xlabel('last physical coordinate') ax.set_title('1D NURBS basis') pn.plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/gen_lobatto1d_c.py000077500000000000000000000165461247364230400213560ustar00rootroot00000000000000#!/usr/bin/env python """ Generate lobatto1d.c and lobatto1h.c files. """ import sys sys.path.append('.') import os from optparse import OptionParser import sympy as sm import numpy as nm import matplotlib.pyplot as plt from sfepy import top_dir from sfepy.base.ioutils import InDir hdef = 'float64 %s(float64 x);\n' cdef = """ float64 %s(float64 x) { return(%s); } """ fun_list = """ const fun %s[%d] = {%s}; """ def gen_lobatto(max_order): assert max_order > 2 x = sm.symbols('x') lobs = [0, 1] lobs[0] = (1 - x) / 2 lobs[1] = (1 + x) / 2 dlobs = [lob.diff('x') for lob in lobs] legs = [sm.legendre(0, 'y')] clegs = [sm.ccode(legs[0])] dlegs = [sm.legendre(0, 'y').diff('y')] cdlegs = [sm.ccode(dlegs[0])] clobs = [sm.ccode(lob) for lob in lobs] cdlobs = [sm.ccode(dlob) for dlob in dlobs] denoms = [] # for lobs. for ii in range(2, max_order + 1): coef = sm.sympify('sqrt(2 * (2 * %s - 1)) / 2' % ii) leg = sm.legendre(ii - 1, 'y') pleg = leg.as_poly() coefs = pleg.all_coeffs() denom = max(sm.denom(val) for val in coefs) cleg = sm.ccode(sm.horner(leg*denom)/denom) dleg = leg.diff('y') cdleg = sm.ccode(sm.horner(dleg*denom)/denom) lob = sm.simplify(coef * sm.integrate(leg, ('y', -1, x))) lobnc = sm.simplify(sm.integrate(leg, ('y', -1, x))) plobnc = lobnc.as_poly() coefs = plobnc.all_coeffs() denom = sm.denom(coef) * max(sm.denom(val) for val in coefs) clob = sm.ccode(sm.horner(lob*denom)/denom) dlob = lob.diff('x') cdlob = sm.ccode(sm.horner(dlob*denom)/denom) legs.append(leg) clegs.append(cleg) dlegs.append(dleg) cdlegs.append(cdleg) lobs.append(lob) clobs.append(clob) dlobs.append(dlob) cdlobs.append(cdlob) denoms.append(denom) coef = sm.sympify('sqrt(2 * (2 * %s - 1)) / 2' % (max_order + 1)) leg = sm.legendre(max_order, 'y') pleg = leg.as_poly() coefs = pleg.all_coeffs() denom = max(sm.denom(val) for val in coefs) cleg = sm.ccode(sm.horner(leg*denom)/denom) dleg = leg.diff('y') cdleg = sm.ccode(sm.horner(dleg*denom)/denom) legs.append(leg) clegs.append(cleg) dlegs.append(dleg) cdlegs.append(cdleg) kerns = [] ckerns = [] dkerns = [] cdkerns = [] for ii, lob in enumerate(lobs[2:]): kern = sm.simplify(lob / (lobs[0] * lobs[1])) dkern = kern.diff('x') denom = denoms[ii] / 4 ckern = sm.ccode(sm.horner(kern*denom)/denom) cdkern = sm.ccode(sm.horner(dkern*denom)/denom) kerns.append(kern) ckerns.append(ckern) dkerns.append(dkern) cdkerns.append(cdkern) return (legs, clegs, dlegs, cdlegs, lobs, clobs, dlobs, cdlobs, kerns, ckerns, dkerns, cdkerns, denoms) def plot_polys(fig, polys, var_name='x'): plt.figure(fig) plt.clf() x = sm.symbols(var_name) vx = nm.linspace(-1, 1, 100) for ii, poly in enumerate(polys): print ii print poly print poly.as_poly(x).all_coeffs() vy = [float(poly.subs(x, xx)) for xx in vx] plt.plot(vx, vy) def append_declarations(out, cpolys, comment, cvar_name, shift=0): names = [] out.append('\n// %s functions.\n' % comment) for ii, cpoly in enumerate(cpolys): name = '%s_%03d' % (cvar_name, ii + shift) function = hdef % name out.append(function) names.append(name) return names def append_polys(out, cpolys, comment, cvar_name, var_name='x', shift=0): names = [] out.append('\n// %s functions.\n' % comment) for ii, cpoly in enumerate(cpolys): name = '%s_%03d' % (cvar_name, ii + shift) function = cdef % (name, cpoly.replace(var_name, 'x')) out.append(function) names.append(name) return names def append_lists(out, names, length): args = ', '.join(['&%s' % name for name in names]) name = names[0][:-4] _list = fun_list % (name, length, args) out.append(_list) usage = '%prog [options]\n' + __doc__.rstrip() help = { 'max_order' : 'maximum order of polynomials [default: %default]', 'plot' : 'plot polynomials', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-m', '--max-order', metavar='order', type=int, action='store', dest='max_order', default=10, help=help['max_order']) parser.add_option('', '--plot', action='store_true', dest='plot', default=False, help=help['plot']) options, args = parser.parse_args() max_order = options.max_order (legs, clegs, dlegs, cdlegs, lobs, clobs, dlobs, cdlobs, kerns, ckerns, dkerns, cdkerns, denoms) = gen_lobatto(max_order) if options.plot: plot_polys(1, lobs) plot_polys(11, dlobs) plot_polys(2, kerns) plot_polys(21, dkerns) plot_polys(3, legs, var_name='y') plot_polys(31, dlegs, var_name='y') plt.show() indir = InDir(os.path.join(top_dir, 'sfepy/discrete/fem/extmods/')) fd = open(indir('lobatto1d_template.h'), 'r') template = fd.read() fd.close fd = open(indir('lobatto1d.h'), 'w') out = [] append_declarations(out, clobs, 'Lobatto', 'lobatto') append_declarations(out, cdlobs, 'Derivatives of Lobatto', 'd_lobatto') append_declarations(out, ckerns, 'Kernel', 'kernel', shift=2) append_declarations(out, cdkerns, 'Derivatives of kernel', 'd_kernel', shift=2) append_declarations(out, clegs, 'Legendre', 'legendre') append_declarations(out, cdlegs, 'Derivatives of Legendre', 'd_legendre') fd.write(template.replace('// REPLACE_TEXT', ''.join(out))) fd.close() fd = open(indir('lobatto1d_template.c'), 'r') template = fd.read() fd.close() fd = open(indir('lobatto1d.c'), 'w') out = [] names_lobatto = append_polys(out, clobs, 'Lobatto', 'lobatto') names_d_lobatto = append_polys(out, cdlobs, 'Derivatives of Lobatto', 'd_lobatto') names_kernel = append_polys(out, ckerns, 'Kernel', 'kernel', shift=2) names_d_kernel = append_polys(out, cdkerns, 'Derivatives of kernel', 'd_kernel', shift=2) names_legendre = append_polys(out, clegs, 'Legendre', 'legendre', var_name='y') names_d_legendre = append_polys(out, cdlegs, 'Derivatives of Legendre', 'd_legendre', var_name='y') out.append('\n// Lists of functions.\n') out.append('\nconst int32 max_order = %d;\n' % max_order) append_lists(out, names_lobatto, max_order + 1) append_lists(out, names_d_lobatto, max_order + 1) append_lists(out, names_kernel, max_order - 1) append_lists(out, names_d_kernel, max_order - 1) append_lists(out, names_legendre, max_order + 1) append_lists(out, names_d_legendre, max_order + 1) fd.write(template.replace('// REPLACE_TEXT', ''.join(out))) fd.close() if __name__ == '__main__': main() sfepy-release_2015.1/script/gen_mesh_prev.py000077500000000000000000000064601247364230400211450ustar00rootroot00000000000000#!/usr/bin/env python # -*- coding: utf-8 -*- """ Mesh Preview Generator. Examples -------- $ ./script/gen_mesh_prev.py meshes/2d/ """ from optparse import OptionParser import sys sys.path.append('.') import os import vtk from sfepy.discrete.fem import Mesh def gen_shot(vtk_filename, png_filename): """ Generate PNG image of the FE mesh. Parameters ---------- vtk_filename : str The input mesh filename (file in VTK format). png_filename : str The name of the output PNG file. """ reader = vtk.vtkUnstructuredGridReader() reader.SetFileName(vtk_filename) reader.Update() bnd = reader.GetOutput().GetPoints().GetBounds() surface0 = vtk.vtkDataSetSurfaceFilter() surface0.SetInput(reader.GetOutput()) surface0.Update() if abs(bnd[5] - bnd[4]) > 1.0e-12: tr = vtk.vtkTransform() tr.RotateWXYZ(45,1,1,1) trFilter = vtk.vtkTransformPolyDataFilter() trFilter.SetTransform(tr) trFilter.SetInputConnection(surface0.GetOutputPort()) trFilter.Update() surface = trFilter else: surface = surface0 ca,cb = surface.GetOutput().GetCellData().GetScalars().GetRange() lut = vtk.vtkLookupTable() lut.SetHueRange(0.667, 0.667) lut.SetSaturationRange(0.0, 1.0) lut.SetValueRange(0.8, 1.0) lut.SetAlphaRange(1.0, 1.0) lut.SetTableRange(ca,cb) gf = vtk.vtkGraphicsFactory() gf.SetOffScreenOnlyMode(1) gf.SetUseMesaClasses(1) ifa = vtk.vtkImagingFactory() ifa.SetUseMesaClasses(1) mapper = vtk.vtkPolyDataMapper() mapper.SetLookupTable(lut) mapper.SetScalarRange(ca,cb); mapper.SetInput(surface.GetOutput()) mapper.SetScalarModeToUseCellData() actor = vtk.vtkActor() actor.SetMapper(mapper) mapper2 = vtk.vtkPolyDataMapper() mapper2.SetInput(surface.GetOutput()) actor2 = vtk.vtkActor() actor2.SetMapper(mapper2) actor2.GetProperty().SetRepresentationToWireframe() ren = vtk.vtkRenderer() renWin = vtk.vtkRenderWindow() renWin.SetOffScreenRendering(1) renWin.AddRenderer(ren) ren.AddActor(actor) ren.AddActor(actor2) renWin.Render() image = vtk.vtkWindowToImageFilter() image.SetInput(renWin) image.Update() base, _ = os.path.splitext(vtk_filename) writer = vtk.vtkPNGWriter() writer.SetFileName(png_filename) writer.SetInput(image.GetOutput()) writer.Write() usage = '%prog [options] mesh_dir\n' + __doc__.rstrip() def main(): parser = OptionParser(usage=usage) (options, args) = parser.parse_args() if len(args) != 1: parser.print_help() sys.exit(1) mesh_dir = args[0] mesh_files = [] for (dirpath, dirnames, filenames) in os.walk(mesh_dir): for ii in filenames: _, ext = os.path.splitext(ii) if ext.lower() in ['.mesh', '.vtk']: mesh_files.append(dirpath + os.path.sep + ii) for ii in mesh_files: base, ext = os.path.splitext(ii) fname_out = base + '.png' if ext == '.mesh': fname_in = 'aux.vtk' mesh = Mesh.from_file(ii) mesh.write(fname_in, io='auto') else: fname_in = ii print('writing %s...' % fname_out) gen_shot(fname_in, fname_out) if __name__ == "__main__": main() sfepy-release_2015.1/script/gen_term_table.py000077500000000000000000000117151247364230400212720ustar00rootroot00000000000000#!/usr/bin/env python """ Generate the table of all terms for the sphinx documentation. """ import os import sys from optparse import OptionParser import pyparsing as pp import numpy as nm sys.path.append('.') import sfepy.discrete.fem # Hack: fix circular dependency, as terms.pyx imports # from sfepy.discrete.fem from sfepy.terms import term_table def set_section(sec): def action(str, loc, toks): if toks: sec[0] = toks[0][1:-1] return toks return action def to_list(slist, sec): def action(str, loc, toks): if toks: slist.append((sec[0], toks[0])) return toks return action def create_parser(slist, current_section): colon = pp.Literal(':') section = pp.Combine(colon + pp.Word(pp.alphas, pp.alphanums + '_ ') + colon) section.setParseAction(set_section(current_section)) section.setName('section') text = pp.SkipTo(section | pp.StringEnd()) text.setParseAction(to_list(slist, current_section)) text.setName('text') doc = pp.StringStart()\ + pp.Optional(text) + pp.ZeroOrMore(section + text)\ + pp.StringEnd() return doc header = """ .. tabularcolumns:: |p{0.2\linewidth}|p{0.2\linewidth}|p{0.6\linewidth}| .. list-table:: Table of all terms. :widths: 20 20 60 :header-rows: 1 * - name/class - arguments - definition """ table_row = """ * - %s :class:`%s <%s.%s>` - %s - %s """ def format_next(text, new_text, pos, can_newline, width, ispaces): new_len = len(new_text) if (pos + new_len > width) and can_newline: text += '\n' + ispaces + new_text pos = new_len can_newline = False else: if pos > 0: text += ' ' + new_text pos += new_len + 1 else: text += new_text pos += new_len can_newline = True return text, pos, can_newline def typeset_to_indent(txt, indent0, indent, width): if not len(txt): return txt txt_lines = txt.strip().split('\n') ispaces = ' ' * indent text = (' ' * indent0) + txt_lines[0] + '\n' + ispaces can_newline = False pos = indent0 for line in txt_lines[1:]: for word in line.split(): text, pos, can_newline = format_next(text, word, pos, can_newline, width, ispaces) return text def typeset_term_syntax(term_class): if ((len(term_class.arg_types) > 1) and not isinstance(term_class.arg_types[0], str)): arg_types = [', '.join(['<%s>' % arg for arg in arg_type]) for arg_type in term_class.arg_types] arg_types = [' ``%s``' % arg_type for arg_type in arg_types] text = '\n\n '.join(arg_types) else: text = ', '.join(['<%s>' % arg for arg in term_class.arg_types]) text = '``%s``' % text return text def typeset_term_table(fd, table): """Terms are sorted by name without the d*_ prefix.""" sec_list = [] current_section = [''] parser = create_parser(sec_list, current_section) fd.write(header) keys = table.keys() sort_keys = [key[key.find('_'):] for key in keys] iis = nm.argsort(sort_keys) for ii in iis: key = keys[ii] item_class = table[key] doc = item_class.__doc__ if doc is not None: sec_list[:] = [] current_section[0] = '' parser.parseString(doc) dd = [x[1] for x in sec_list if x[0].lower() == 'definition'] if len(dd): dd = dd[0] else: dd = '' dds = dd.strip().split('\n\n') definition = '\n\n'.join(typeset_to_indent(dd, 7, 11, 65) for dd in dds)[7:] fd.write(table_row % (item_class.name, item_class.__name__, item_class.__module__, item_class.__name__, typeset_term_syntax(item_class), definition)) fd.write('\n') def typeset(filename): """Utility function called by sphinx. """ fd = open(filename, 'w') typeset_term_table(fd, term_table) fd.close() def gen_term_table(app): typeset(os.path.join(app.builder.srcdir, 'term_table.rst')) def setup(app): app.connect('builder-inited', gen_term_table) usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'output_filename' : 'output file name', } def main(): parser = OptionParser(usage=usage, version="%prog") parser.add_option("-o", "--output", metavar='output_filename', action="store", dest="output_filename", default="term_table.rst", help=helps['output_filename']) (options, args) = parser.parse_args() typeset(options.output_filename) if __name__ == '__main__': main() sfepy-release_2015.1/script/plot_condition_numbers.py000077500000000000000000000120521247364230400230750ustar00rootroot00000000000000#!/usr/bin/env python """ Plot conditions numbers w.r.t. polynomial approximation order of reference element matrices for various FE polynomial spaces (bases). """ import sys sys.path.append('.') from optparse import OptionParser import time import numpy as nm import matplotlib.pyplot as plt from sfepy import data_dir from sfepy.base.base import output, assert_ from sfepy.discrete import FieldVariable, Material, Integral from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.terms import Term from sfepy.solvers import eig usage = '%prog [options]\n' + __doc__.rstrip() help = { 'basis' : 'name of the FE basis [default: %default]', 'max_order' : 'maximum order of polynomials [default: %default]', 'matrix_type' : 'matrix type, one of "elasticity", "laplace" [default: %default]', 'geometry' : 'reference element geometry, one of "2_3", "2_4", "3_4", "3_8"' ' [default: %default]', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-b', '--basis', metavar='name', action='store', dest='basis', default='lagrange', help=help['basis']) parser.add_option('-n', '--max-order', metavar='order', type=int, action='store', dest='max_order', default=10, help=help['max_order']) parser.add_option('-m', '--matrix', metavar='type', action='store', dest='matrix_type', default='laplace', help=help['matrix_type']) parser.add_option('-g', '--geometry', metavar='name', action='store', dest='geometry', default='2_4', help=help['geometry']) options, args = parser.parse_args() dim, n_ep = int(options.geometry[0]), int(options.geometry[2]) output('reference element geometry:') output(' dimension: %d, vertices: %d' % (dim, n_ep)) n_c = {'laplace' : 1, 'elasticity' : dim}[options.matrix_type] output('matrix type:', options.matrix_type) output('number of variable components:', n_c) output('polynomial space:', options.basis) output('max. order:', options.max_order) mesh = Mesh.from_file(data_dir + '/meshes/elements/%s_1.mesh' % options.geometry) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') orders = nm.arange(1, options.max_order + 1, dtype=nm.int) conds = [] order_fix = 0 if options.geometry in ['2_4', '3_8'] else 1 for order in orders: output('order:', order, '...') field = Field.from_args('fu', nm.float64, n_c, omega, approx_order=order, space='H1', poly_space_base=options.basis) to = field.approx_order quad_order = 2 * (max(to - order_fix, 0)) output('quadrature order:', quad_order) integral = Integral('i', order=quad_order) qp, _ = integral.get_qp(options.geometry) output('number of quadrature points:', qp.shape[0]) u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') m = Material('m', lam=1.0, mu=1.0) if options.matrix_type == 'laplace': term = Term.new('dw_laplace(m.mu, v, u)', integral, omega, m=m, v=v, u=u) n_zero = 1 else: assert_(options.matrix_type == 'elasticity') term = Term.new('dw_lin_elastic_iso(m.lam, m.mu, v, u)', integral, omega, m=m, v=v, u=u) n_zero = (dim + 1) * dim / 2 term.setup() output('assembling...') tt = time.clock() mtx, iels = term.evaluate(mode='weak', diff_var='u') output('...done in %.2f s' % (time.clock() - tt)) mtx = mtx[0][0, 0] try: assert_(nm.max(nm.abs(mtx - mtx.T)) < 1e-10) except: from sfepy.base.base import debug; debug() output('matrix shape:', mtx.shape) eigs = eig(mtx, method='eig.sgscipy', eigenvectors=False) eigs.sort() # Zero 'true' zeros. eigs[:n_zero] = 0.0 ii = nm.where(eigs < 0.0)[0] if len(ii): output('matrix is not positive semi-definite!') ii = nm.where(eigs[n_zero:] < 1e-12)[0] if len(ii): output('matrix has more than %d zero eigenvalues!' % n_zero) output('smallest eigs:\n', eigs[:10]) ii = nm.where(eigs > 0.0)[0] emin, emax = eigs[ii[[0, -1]]] output('min:', emin, 'max:', emax) cond = emax / emin conds.append(cond) output('condition number:', cond) output('...done') plt.figure(1) plt.semilogy(orders, conds) plt.xticks(orders, orders) plt.xlabel('polynomial order') plt.ylabel('condition number') plt.grid() plt.figure(2) plt.loglog(orders, conds) plt.xticks(orders, orders) plt.xlabel('polynomial order') plt.ylabel('condition number') plt.grid() plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/plot_logs.py000077500000000000000000000033511247364230400203220ustar00rootroot00000000000000#!/usr/bin/env python """ Plot logs of variables saved in a text file by sfepy.base.log.Log class. The plot should be almost the same as the plot that would be generated by the Log directly. """ import sys sys.path.append('.') from optparse import OptionParser import matplotlib.pyplot as plt from sfepy.base.log import read_log, plot_log usage = '%prog [options] filename\n' + __doc__.rstrip() def parse_rc(option, opt, value, parser): pars = {} for pair in value.split(','): key, val = pair.split('=') pars[key] = eval(val) setattr(parser.values, option.dest, pars) helps = { 'output_filename' : 'save the figure using the given file name', 'rc' : 'matplotlib resources', 'no_show' : 'do not show the figure', } def main(): parser = OptionParser(usage=usage) parser.add_option('-o', '--output', metavar='filename', action='store', dest='output_filename', default=None, help=helps['output_filename']) parser.add_option('--rc', type='str', metavar='key=val,...', action='callback', dest='rc', callback=parse_rc, default={}, help=helps['rc']) parser.add_option('-n', '--no-show', action='store_true', dest='no_show', default=False, help=helps['no_show']) options, args = parser.parse_args() if len(args) == 1: filename = args[0] else: parser.print_help() return log, info = read_log(filename) plt.rcParams.update(options.rc) plot_log(1, log, info) if options.output_filename: plt.savefig(options.output_filename) if not options.no_show: plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/plot_mesh.py000077500000000000000000000031651247364230400203150ustar00rootroot00000000000000#!/usr/bin/env python """ Plot mesh connectivities, facet orientations, global and local DOF ids etc. """ import sys sys.path.append('.') from optparse import OptionParser from sfepy.base.base import output from sfepy.discrete.fem import Mesh, FEDomain import sfepy.postprocess.plot_cmesh as pc usage = '%prog [options] filename\n' + __doc__.rstrip() helps = { } def main(): parser = OptionParser(usage=usage, version='%prog') options, args = parser.parse_args() if len(args) == 1: filename = args[0] else: parser.print_help(), return mesh = Mesh.from_file(filename) output('Mesh:') output(' dimension: %d, vertices: %d, elements: %d' % (mesh.dim, mesh.n_nod, mesh.n_el)) domain = FEDomain('domain', mesh) output(domain.cmesh) domain.cmesh.cprint(1) dim = domain.cmesh.dim ax = pc.plot_wireframe(None, domain.cmesh) ax = pc.plot_entities(ax, domain.cmesh, 0, 'k') ax = pc.label_global_entities(ax, domain.cmesh, 0, 'k', 12) ax = pc.label_local_entities(ax, domain.cmesh, 0, 'k', 8) ax = pc.plot_entities(ax, domain.cmesh, 1, 'b') ax = pc.label_global_entities(ax, domain.cmesh, 1, 'b', 12) ax = pc.label_local_entities(ax, domain.cmesh, 1, 'b', 8) if dim == 3: ax = pc.plot_entities(ax, domain.cmesh, 2, 'g') ax = pc.label_global_entities(ax, domain.cmesh, 2, 'g', 12) ax = pc.label_local_entities(ax, domain.cmesh, 2, 'g', 8) ax = pc.plot_entities(ax, domain.cmesh, dim, 'r') ax = pc.label_global_entities(ax, domain.cmesh, dim, 'r', 12) pc.plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/plot_quadratures.py000077500000000000000000000037661247364230400217300ustar00rootroot00000000000000#!/usr/bin/env python """ Plot quadrature points for the given geometry and integration order. """ import sys sys.path.append('.') from optparse import OptionParser import sfepy.postprocess.plot_quadrature as pq usage = '%prog [options]\n' + __doc__.rstrip() helps = { 'geometry' : 'reference element geometry, one of "2_3", "2_4", "3_4", "3_8"' ' [default: %default]', 'order' : 'quadrature order [default: %default]', 'min_radius' : 'min. radius of points corresponding to the min. weight' ' [default: %default]', 'max_radius' : 'max. radius of points corresponding to the max. weight' ' [default: %default]', 'show_colorbar' : 'show colorbar for quadrature weights' } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-g', '--geometry', metavar='name', action='store', dest='geometry', default='2_4', help=helps['geometry']) parser.add_option('-n', '--order', metavar='order', type=int, action='store', dest='order', default=2, help=helps['order']) parser.add_option('-r', '--min-radius', metavar='float', type=float, action='store', dest='min_radius', default=10, help=helps['min_radius']) parser.add_option('-R', '--max-radius', metavar='float', type=float, action='store', dest='max_radius', default=50, help=helps['max_radius']) parser.add_option('-c', '--show-colorbar', action='store_true', dest='show_colorbar', default=False, help=helps['show_colorbar']) options, args = parser.parse_args() if len(args) != 0: parser.print_help(), return pq.plot_quadrature(None, options.geometry, options.order, options.min_radius, options.max_radius, options.show_colorbar) pq.plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/plot_times.py000077500000000000000000000032531247364230400205000ustar00rootroot00000000000000#!/usr/bin/env python """ Plot time steps, times of time steps and time deltas in a HDF5 results file. """ import sys sys.path.append('.') from optparse import OptionParser import numpy as nm import matplotlib.pyplot as plt from sfepy.postprocess.time_history import extract_times usage = '%prog [options] filename\n' + __doc__.rstrip() helps = { 'logarithmic' : 'plot time steps in logarithmic scale', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-l', '--logarithmic', action='store_true', dest='logarithmic', default=False, help=helps['logarithmic']) options, args = parser.parse_args() if (len(args) == 1): filename = args[0] else: parser.print_help() return plt.rcParams['lines.linewidth'] = 3 plt.rcParams['lines.markersize'] = 9 fontsize = 16 steps, times, nts, dts = extract_times(filename) dts[-1] = nm.nan ax = plt.subplot(211) if options.logarithmic: l1, = ax.semilogy(steps, dts, 'b') else: l1, = ax.plot(steps, dts, 'b') ax.set_xlabel('step', fontsize=fontsize) ax.set_ylabel(r'$\Delta t$', fontsize=fontsize) ax.grid(True) ax = ax.twinx() l2, = ax.plot(steps, times, 'g') ax.set_ylabel(r'$t$', fontsize=fontsize) ax.legend([l1, l2], [r'$\Delta t$', r'$t$'], loc=0) ax = plt.subplot(212) if options.logarithmic: ax.semilogy(times, dts, 'b+') else: ax.plot(times, dts, 'b+') ax.set_xlabel(r'$t$', fontsize=fontsize) ax.set_ylabel(r'$\Delta t$', fontsize=fontsize) ax.grid(True) plt.show() if __name__ == '__main__': main() sfepy-release_2015.1/script/save_basis.py000077500000000000000000000233671247364230400204500ustar00rootroot00000000000000#!/usr/bin/env python """ Save polynomial basis on reference elements or on a mesh for visualization into a given output directory. """ import sys sys.path.append('.') import os from optparse import OptionParser import numpy as nm from sfepy.base.base import output, Struct from sfepy.base.ioutils import get_print_info, ensure_path from sfepy.discrete import FieldVariable, Variables from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.discrete.fem.geometry_element import GeometryElement from sfepy.discrete.fem.poly_spaces import PolySpace from sfepy.discrete.fem.linearizer import create_output from sfepy.discrete.fem.fields_base import create_expression_output usage = '%prog [options] output_dir\n' + __doc__.rstrip() help = { 'basis' : 'name of the FE basis [default: %default]', 'derivative' : 'save d-th derivative of FE basis, can be 0 or 1 [default: %default]', 'max_order' : 'maximum order of polynomials [default: %default]', 'geometry' : 'reference element geometry, one of "2_3", "2_4", "3_4", "3_8"' ' [default: %default]', 'mesh' : 'name of the mesh file - alternative to --geometry [default: %default]', 'permutations' : 'list of geometry element permutations for each element, e.g. 0,1 is a' ' single permutation for two elements, 0,1,0,2,1,0 are three permutations' ' for two elements. Special value "all" can be used to save all possible' ' permutations for given reference element. Works only with --mesh option' ' [default: %default]', 'dofs' : 'if given, save only the DOFs specified as a comma-separated list' ' [default: %default]', 'lin_options' : 'linearizer options [default: %default]', 'plot_dofs' : 'plot local and global DOF numberings, with --mesh option', } def get_dofs(dofs, n_total): if dofs is None: dofs = range(n_total) else: dofs = [int(ii) for ii in dofs.split(',')] return dofs def save_basis_on_mesh(mesh, options, output_dir, lin, permutations=None, suffix=''): if permutations is not None: mesh = mesh.copy() for ig, conn in enumerate(mesh.conns): gel = GeometryElement(mesh.descs[ig]) perms = gel.get_conn_permutations()[permutations] n_el, n_ep = conn.shape offsets = nm.arange(n_el) * n_ep conn[:] = conn.take(perms + offsets[:, None]) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') field = Field.from_args('f', nm.float64, shape=1, region=omega, approx_order=options.max_order, poly_space_base=options.basis) var = FieldVariable('u', 'unknown', field) if options.plot_dofs: import sfepy.postprocess.plot_dofs as pd group = domain.groups[0] ax = pd.plot_mesh(None, mesh.coors, mesh.conns[0], group.gel.edges) ax = pd.plot_global_dofs(ax, field.get_coor(), field.aps[0].econn) ax = pd.plot_local_dofs(ax, field.get_coor(), field.aps[0].econn) if options.dofs is not None: ax = pd.plot_nodes(ax, field.get_coor(), field.aps[0].econn, field.aps[0].interp.poly_spaces['v'].nodes, get_dofs(options.dofs, var.n_dof)) pd.plt.show() output('dofs: %d' % var.n_dof) vec = nm.empty(var.n_dof, dtype=var.dtype) n_digit, _format = get_print_info(var.n_dof, fill='0') name_template = os.path.join(output_dir, 'dof_%s%s.vtk' % (_format, suffix)) for ip in get_dofs(options.dofs, var.n_dof): output('dof %d...' % ip) vec.fill(0.0) vec[ip] = 1.0 var.set_data(vec) if options.derivative == 0: out = var.create_output(vec, linearization=lin) else: out = create_expression_output('ev_grad.ie.Elements(u)', 'u', 'f', {'f' : field}, None, Variables([var]), mode='qp', verbose=False, min_level=lin.min_level, max_level=lin.max_level, eps=lin.eps) name = name_template % ip ensure_path(name) out['u'].mesh.write(name, out=out) output('...done (%s)' % name) def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-b', '--basis', metavar='name', action='store', dest='basis', default='lagrange', help=help['basis']) parser.add_option('-d', '--derivative', metavar='d', type=int, action='store', dest='derivative', default=0, help=help['derivative']) parser.add_option('-n', '--max-order', metavar='order', type=int, action='store', dest='max_order', default=2, help=help['max_order']) parser.add_option('-g', '--geometry', metavar='name', action='store', dest='geometry', default='2_4', help=help['geometry']) parser.add_option('-m', '--mesh', metavar='mesh', action='store', dest='mesh', default=None, help=help['mesh']) parser.add_option('', '--permutations', metavar='permutations', action='store', dest='permutations', default=None, help=help['permutations']) parser.add_option('', '--dofs', metavar='dofs', action='store', dest='dofs', default=None, help=help['dofs']) parser.add_option('-l', '--lin-options', metavar='options', action='store', dest='lin_options', default='min_level=2,max_level=5,eps=1e-3', help=help['lin_options']) parser.add_option('', '--plot-dofs', action='store_true', dest='plot_dofs', default=False, help=help['plot_dofs']) options, args = parser.parse_args() if len(args) == 1: output_dir = args[0] else: parser.print_help(), return output('polynomial space:', options.basis) output('max. order:', options.max_order) lin = Struct(kind='adaptive', min_level=2, max_level=5, eps=1e-3) for opt in options.lin_options.split(','): key, val = opt.split('=') setattr(lin, key, eval(val)) if options.mesh is None: dim, n_ep = int(options.geometry[0]), int(options.geometry[2]) output('reference element geometry:') output(' dimension: %d, vertices: %d' % (dim, n_ep)) gel = GeometryElement(options.geometry) gps = PolySpace.any_from_args(None, gel, 1, base=options.basis) ps = PolySpace.any_from_args(None, gel, options.max_order, base=options.basis) n_digit, _format = get_print_info(ps.n_nod, fill='0') name_template = os.path.join(output_dir, 'bf_%s.vtk' % _format) for ip in get_dofs(options.dofs, ps.n_nod): output('shape function %d...' % ip) def eval_dofs(iels, rx): if options.derivative == 0: bf = ps.eval_base(rx).squeeze() rvals = bf[None, :, ip:ip+1] else: bfg = ps.eval_base(rx, diff=True) rvals = bfg[None, ..., ip] return rvals def eval_coors(iels, rx): bf = gps.eval_base(rx).squeeze() coors = nm.dot(bf, gel.coors)[None, ...] return coors (level, coors, conn, vdofs, mat_ids) = create_output(eval_dofs, eval_coors, 1, ps, min_level=lin.min_level, max_level=lin.max_level, eps=lin.eps) out = { 'bf' : Struct(name='output_data', mode='vertex', data=vdofs, var_name='bf', dofs=None) } mesh = Mesh.from_data('bf_mesh', coors, None, [conn], [mat_ids], [options.geometry]) name = name_template % ip ensure_path(name) mesh.write(name, out=out) output('...done (%s)' % name) else: mesh = Mesh.from_file(options.mesh) output('mesh geometry:') output(' dimension: %d, vertices: %d, elements: %d' % (mesh.dim, mesh.n_nod, mesh.n_el)) if options.permutations: if options.permutations == 'all': from sfepy.linalg import cycle gel = GeometryElement(mesh.descs[0]) n_perms = gel.get_conn_permutations().shape[0] all_permutations = [ii for ii in cycle(mesh.n_el * [n_perms])] else: all_permutations = [int(ii) for ii in options.permutations.split(',')] all_permutations = nm.array(all_permutations) np = len(all_permutations) all_permutations.shape = (np / mesh.n_el, mesh.n_el) output('using connectivity permutations:\n', all_permutations) else: all_permutations = [None] for ip, permutations in enumerate(all_permutations): if permutations is None: suffix = '' else: suffix = '_' + '_'.join('%d' % ii for ii in permutations) save_basis_on_mesh(mesh, options, output_dir, lin, permutations, suffix) if __name__ == '__main__': main() sfepy-release_2015.1/script/show_authors.py000077500000000000000000000007661247364230400210540ustar00rootroot00000000000000#!/usr/bin/env python import shlex import subprocess def main(): args = shlex.split('git log --pretty=format:"%an <%ae>"') p = subprocess.Popen(args, stdout=subprocess.PIPE) out = p.communicate()[0].split('\n') done = set() unique = [] for line in reversed(out): line = line.strip() if len(line) and not line in done: done.add(line) unique.append(line) for line in unique: print line if __name__ == '__main__': main() sfepy-release_2015.1/script/show_terms_use.py000077500000000000000000000047511247364230400213730ustar00rootroot00000000000000#!/usr/bin/env python """ Show terms use in problem description files in the given directory. """ import sys sys.path.append('.') import os from optparse import OptionParser from sfepy.base.base import output, dict_from_keys_init, ordered_iteritems from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.base.ioutils import locate_files from sfepy.discrete.equations import parse_definition from sfepy.terms import term_table usage = '%prog [options] \n' + __doc__.rstrip() helps = { 'counts' : 'show terms use counts only', 'unused' : 'show unused terms only', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-c', '--counts', action='store_true', dest='counts', default=False, help=helps['counts']) parser.add_option('-u', '--unused', action='store_true', dest='unused', default=False, help=helps['unused']) options, args = parser.parse_args() if len(args) > 0: pdf_dir = os.path.realpath(args[0]) else: parser.print_help(), return required, other = get_standard_keywords() terms_use = dict_from_keys_init(term_table.keys(), set) for filename in locate_files('*.py', pdf_dir): base = filename.replace(pdf_dir, '').lstrip(os.path.sep) output('trying "%s"...' % base) try: conf = ProblemConf.from_file(filename, required, other, verbose=False) except: output('...failed') continue use = conf.options.get('use_equations', 'equations') eqs_conf = getattr(conf, use) for key, eq_conf in eqs_conf.iteritems(): term_descs = parse_definition(eq_conf) for td in term_descs: terms_use[td.name].add(base) output('...ok') output('...done') if options.unused: output('unused terms:') unused = [name for name in terms_use.keys() if len(terms_use[name]) == 0] for name in sorted(unused): output(' ' + name) output('total: %d' % len(unused)) else: output('terms use:') for name, ex_names in ordered_iteritems(terms_use): output('%s: %d' % (name, len(ex_names))) if not options.counts: for ex_name in sorted(ex_names): output(' ' + ex_name) if __name__ == '__main__': main() sfepy-release_2015.1/script/sync_module_docs.py000077500000000000000000000076721247364230400216630ustar00rootroot00000000000000#!/usr/bin/env python """ Synchronize the documentation files in a given directory ``doc_dir`` with the actual state of the SfePy sources in ``top_dir``. Missing files are created, files with no corresponding source file are removed, other files are left untouched. Notes ----- The developer guide needs to be edited manually to reflect the changes. """ import sys sys.path.append('.') import os import fnmatch from optparse import OptionParser from sfepy.base.base import output from sfepy.base.ioutils import locate_files, edit_filename, ensure_path usage = '%prog [options] doc_dir top_dir\n' + __doc__.rstrip() omits = [ '__init__.py', '__config__.py', 'debug.py', 'gitwash_dumper.py', 'setup.py', 'site_cfg.py', 'site_cfg_template.py', ] omits_pyx = [ 'lobatto_template.pyx', ] doc_template = """%s %s .. automodule:: %s :members: :undoc-members: """ help = { 'dry_run' : 'only show what changes would be made', } def main(): parser = OptionParser(usage=usage, version='%prog') parser.add_option('-n', '--dry-run', action='store_true', dest='dry_run', default=False, help=help['dry_run']) options, args = parser.parse_args() if len(args) == 2: doc_dir, top_dir = [os.path.realpath(ii) for ii in args] else: parser.print_help(), return docs = set(ii for ii in locate_files('*.rst', root_dir=doc_dir)) sources = set(ii for ii in locate_files('*.py', root_dir=os.path.join(top_dir, 'sfepy')) if os.path.basename(ii) not in omits) sources.update(ii for ii in locate_files('*.pyx', root_dir=os.path.join(top_dir, 'sfepy')) if os.path.basename(ii) not in omits_pyx) scripts = set(ii for ii in locate_files('*.py', root_dir=os.path.join(top_dir, 'script')) if os.path.basename(ii) not in omits) top_scripts = set(os.path.realpath(ii) for ii in fnmatch.filter(os.listdir(top_dir), '*.py') if os.path.basename(ii) not in omits) all_sources = set() all_sources.update(sources, scripts, top_scripts) cwd = os.path.realpath(os.path.curdir) + os.path.sep output.prefix = 'smd:' output('removing unneeded rst files in "%s"...' % doc_dir) for doc in sorted(docs): aux = edit_filename(doc, new_ext='.py') src1 = os.path.normpath(aux.replace(doc_dir, top_dir)) aux = edit_filename(doc, new_ext='.pyx') src2 = os.path.normpath(aux.replace(doc_dir, top_dir)) if (src1 not in all_sources) and (src2 not in all_sources): output('remove: %s' % doc.replace(cwd, '')) if not options.dry_run: os.remove(doc) output('...done') output('creating missing rst files in "%s"...' % doc_dir) for src in sorted(all_sources): aux = edit_filename(src, new_ext='.rst') doc = os.path.normpath(aux.replace(top_dir, doc_dir)) if doc not in docs: output('create: %s' % doc.replace(cwd, '')) if not options.dry_run: mod_filename = src.replace(top_dir + os.path.sep, '') mod_name = mod_filename.replace(os.path.sep, '.') mod_name = edit_filename(mod_name, new_ext='') if mod_name.startswith('sfepy'): # Module. title = mod_name + ' module' else: # Script. title = mod_filename + ' script' mod_name = mod_name.split('.')[-1] underlines = '=' * len(title) contents = doc_template % (title, underlines, mod_name) ensure_path(doc) fd = open(doc, 'w') fd.write(contents) fd.close() output('...done') if __name__ == '__main__': main() sfepy-release_2015.1/script/tile_periodic_mesh.py000077500000000000000000000042011247364230400221420ustar00rootroot00000000000000#!/usr/bin/env python import sys sys.path.append('.') from sfepy.base.base import Output from sfepy.discrete.fem.mesh import Mesh from sfepy.mesh.mesh_generators import gen_tiled_mesh from optparse import OptionParser usage = """%prog [options] filename_in filename_out The program scales a periodic input mesh (a rectangle or box) in filename_in by a scale factor and generates a new mesh by repeating the scaled original mesh in a regular grid (scale x scale [x scale]) if repeat option is None, or in a grid nx x ny x nz for repeat 'nx,ny,nz', producing again a periodic rectangle or box mesh. """ help = { 'scale' : 'scale factor [default: %default]', 'repeat' : 'repetition counts in each axial direction' ' [default: %default]', 'eps' : 'coordinate precision [default: %default]', } def parse_repeat(option, opt, value, parser): if value is not None: setattr(parser.values, option.dest, [int(r) for r in value.split(',')]) def main(): parser = OptionParser(usage=usage, version="%prog 42") parser.add_option("-s", "--scale", type=int, metavar='scale', action="store", dest="scale", default=2, help=help['scale']) parser.add_option("-r", "--repeat", type='str', metavar='nx,ny[,nz]', action="callback", dest="repeat", callback=parse_repeat, default=None, help=help['repeat']) parser.add_option("-e", "--eps", type=float, metavar='eps', action="store", dest="eps", default=1e-8, help=help['eps']) (options, args) = parser.parse_args() if (len( args ) == 2): filename_in = args[0] filename_out = args[1] else: parser.print_help() return output = Output('tpm:') output('scale:', options.scale) output('repeat:', options.repeat) output('eps:', options.eps) mesh_in = Mesh.from_file(filename_in) mesh_out = gen_tiled_mesh(mesh_in, options.repeat, 1./options.scale, options.eps) mesh_out.write(filename_out, io='auto') output('done.') if __name__ == '__main__': main() sfepy-release_2015.1/setup.py000066400000000000000000000132541247364230400161540ustar00rootroot00000000000000#!/usr/bin/env python """SfePy: Simple finite elements in Python SfePy (simple finite elements in Python) is a software, distributed under the BSD license, for solving systems of coupled partial differential equations by the finite element method. The code is based on NumPy and SciPy packages. """ DOCLINES = __doc__.split("\n") import os import sys from build_helpers import (generate_a_pyrex_source, package_check, cmdclass, INFO) # monkey-patch numpy distutils to use Cython instead of Pyrex from numpy.distutils.command.build_src import build_src build_src.generate_a_pyrex_source = generate_a_pyrex_source VERSION = INFO.__version__ CLASSIFIERS = """\ Development Status :: 3 - Alpha Intended Audience :: Science/Research Intended Audience :: Developers License :: OSI Approved :: BSD License Programming Language :: C Programming Language :: Python Topic :: Software Development Topic :: Scientific/Engineering Operating System :: POSIX Operating System :: MacOS :: MacOS X Operating System :: Microsoft :: Windows """ DOWNLOAD_URL = "http://code.google.com/p/sfepy/wiki/Downloads?tm=2" # BEFORE importing distutils, remove MANIFEST. distutils doesn't properly # update it when the contents of directories change. if os.path.exists('MANIFEST'): os.remove('MANIFEST') def configuration(parent_package='',top_path=None): from numpy.distutils.misc_util import Configuration config = Configuration(None, parent_package, top_path) config.set_options(ignore_setup_xxx_py=True, assume_default_configuration=True, delegate_options_to_subpackages=True, quiet=True) config.add_subpackage('sfepy') aux_scripts = [ 'blockgen.py', 'convert_mesh.py', 'cylindergen.py', 'edit_identifiers.py', 'eval_ns_forms.py', 'eval_tl_forms.py', 'extract_surface.py', 'gen_gallery.py', 'gen_iga_patch.py', 'gen_lobatto1d_c.py', 'gen_mesh_prev.py', 'gen_term_table.py', 'plot_condition_numbers.py', 'plot_logs.py', 'plot_mesh.py', 'plot_quadratures.py', 'plot_times.py', 'save_basis.py', 'show_authors.py', 'show_terms_use.py', 'sync_module_docs.py', 'tile_periodic_mesh.py', ] aux_scripts = [os.path.join('script', ii) for ii in aux_scripts] config.add_data_files(('sfepy', ('VERSION', 'INSTALL', 'README', 'LICENSE', 'AUTHORS', 'build_helpers.py', 'site_cfg_template.py', 'Makefile'))) config.add_data_files(('sfepy/script', aux_scripts)) config.add_data_dir(('sfepy/meshes', 'meshes')) config.add_data_dir(('sfepy/examples', 'examples')) config.add_data_dir(('sfepy/tests', 'tests')) config.get_version('sfepy/version.py') # sets config.version return config def _mayavi_version(pkg_name): try: from enthought.mayavi import version except: from mayavi import version return version.version def _cython_version(pkg_name): from Cython.Compiler.Version import version return version # Hard and soft dependency checking package_check('numpy', INFO.NUMPY_MIN_VERSION) package_check('scipy', INFO.SCIPY_MIN_VERSION) package_check('matplotlib', INFO.MATPLOTLIB_MIN_VERSION) package_check('pyparsing', INFO.PYPARSING_MIN_VERSION) package_check('tables', INFO.PYTABLES_MIN_VERSION) package_check(('enthought.mayavi', 'mayavi'), INFO.MAYAVI_MIN_VERSION, optional=True, version_getter=_mayavi_version) package_check('sympy', INFO.SYMPY_MIN_VERSION, optional=True, messages={'missing opt' : '%s was not found: some tests are going to fail!'}) # Cython can be a build dependency package_check('cython', INFO.CYTHON_MIN_VERSION, version_getter=_cython_version) def setup_package(): from numpy.distutils.core import setup old_path = os.getcwd() local_path = os.path.dirname(os.path.abspath(sys.argv[0])) os.chdir(local_path) sys.path.insert(0, local_path) sys.path.insert(0, os.path.join(local_path, 'sfepy')) # to retrive version # Write the version file. fd = open('VERSION', 'w') fd.write(VERSION) fd.close() # Create version.h file. filename_in = 'sfepy/discrete/fem/extmods/version.h.in' filename_out = 'sfepy/discrete/fem/extmods/version.h' fdi = open(filename_in, 'r') fdo = open(filename_out, 'w') for line in fdi: if line.find('VERSION "0.0.0"') >= 0: aux = line.split() aux[2] = VERSION line = ' '.join(aux) + '\n' fdo.write(line) fdi.close() fdo.close() main_scripts = [ 'phonon.py', 'extractor.py', 'homogen.py', 'postproc.py', 'probe.py', 'run_tests.py', 'schroedinger.py', 'shaper.py', 'simple.py', 'test_install.py', ] try: setup(name = 'sfepy', maintainer = "Robert Cimrman", maintainer_email = "cimrman3@ntc.zcu.cz", description = DOCLINES[0], long_description = "\n".join(DOCLINES[2:]), url = "http://sfepy.org", download_url = DOWNLOAD_URL, license = 'BSD', classifiers = filter(None, CLASSIFIERS.split('\n')), platforms = ["Linux", "Mac OS-X", 'Windows'], scripts = main_scripts, cmdclass = cmdclass, configuration = configuration) finally: del sys.path[0] os.chdir(old_path) return if __name__ == '__main__': setup_package() sfepy-release_2015.1/sfepy/000077500000000000000000000000001247364230400155635ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/__init__.py000066400000000000000000000007341247364230400177000ustar00rootroot00000000000000import os, glob from config import Config from version import __version__, in_source_tree, top_dir data_dir = os.path.realpath(top_dir) base_dir = os.path.dirname(os.path.normpath(os.path.realpath(__file__))) def get_paths(pattern): """ Get files/paths matching the given pattern in the sfepy source tree. """ if not in_source_tree: pattern = '../' + pattern files = glob.glob(os.path.normpath(os.path.join(top_dir, pattern))) return files sfepy-release_2015.1/sfepy/applications/000077500000000000000000000000001247364230400202515ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/applications/__init__.py000066400000000000000000000001561247364230400223640ustar00rootroot00000000000000from application import Application from pde_solver_app import PDESolverApp, solve_pde, assign_standard_hooks sfepy-release_2015.1/sfepy/applications/application.py000066400000000000000000000043651247364230400231360ustar00rootroot00000000000000from sfepy.base.base import Struct, output, insert_as_static_method class Application(Struct): """ Base class for applications. Subclasses should implement: __init__(), call(). Automates parametric studies, see parametrize(). """ def __init__(self, conf, options, output_prefix, **kwargs): Struct.__init__(self, conf=conf, options=options, output_prefix=output_prefix) output.prefix = self.output_prefix self.restore() def setup_options(self): pass def __call__(self, **kwargs): """ This is either call_basic() or call_parametrized(). """ pass def call_basic(self, **kwargs): return self.call(**kwargs) def call_parametrized(self, **kwargs): generator = self.parametric_hook(self.problem) for aux in generator: if isinstance(aux, tuple) and (len(aux) == 2): problem, container = aux mode = 'coroutine' else: problem = aux mode = 'simple' self.problem = problem generator_prefix = output.prefix output.prefix = self.output_prefix # Restore default. """Application options have to be re-processed here as they can change in the parametric hook.""" self.setup_options() out = self.call(**kwargs) output.prefix = generator_prefix if mode == 'coroutine': # Pass application output to the generator. container.append(out) generator.next() def restore(self): """ Remove parametric_hook, restore __call__() to call_basic(). """ self.parametric_hook = None insert_as_static_method(self.__class__, '__call__', self.call_basic) def parametrize(self, parametric_hook): """ Add parametric_hook, set __call__() to call_parametrized(). """ if parametric_hook is None: return self.parametric_hook = parametric_hook insert_as_static_method(self.__class__, '__call__', self.call_parametrized) sfepy-release_2015.1/sfepy/applications/pde_solver_app.py000066400000000000000000000217251247364230400236340ustar00rootroot00000000000000import os from sfepy.base.base import output, dict_to_struct, Struct from sfepy.base.conf import ProblemConf, get_standard_keywords import sfepy.base.ioutils as io from sfepy.discrete import Problem from sfepy.discrete.fem.meshio import MeshIO from application import Application def solve_pde(conf, options=None, nls_status=None, **app_options): """ Solve a system of partial differential equations (PDEs). This function is a convenience wrapper that creates and runs an instance of :class:`PDESolverApp`. Parameters ---------- conf : str or ProblemConf instance Either the name of the problem description file defining the PDEs, or directly the ProblemConf instance. options : options The command-line options. nls_status : dict-like The object for storing the nonlinear solver return status. app_options : kwargs The keyword arguments that can override application-specific options. """ if not isinstance(conf, ProblemConf): required, other = get_standard_keywords() conf = ProblemConf.from_file(conf, required, other) opts = conf.options = (dict_to_struct(app_options, flag=(1,), constructor=type(conf.options)) + conf.options) output_prefix = opts.get('output_prefix', None) if output_prefix is None: output_prefix = output.prefix if options is None: options = Struct(output_filename_trunk=None, save_ebc=False, save_ebc_nodes=False, save_regions=False, save_field_meshes=False, save_regions_as_groups=False, solve_not=False) app = PDESolverApp(conf, options, output_prefix) if hasattr(opts, 'parametric_hook'): # Parametric study. parametric_hook = conf.get_function(opts.parametric_hook) app.parametrize(parametric_hook) return app(nls_status=nls_status) def save_only(conf, save_names, problem=None): """ Save information available prior to setting equations and solving them. """ if problem is None: problem = Problem.from_conf(conf, init_equations=False) if save_names.regions is not None: problem.save_regions(save_names.regions) if save_names.regions_as_groups is not None: problem.save_regions_as_groups(save_names.regions_as_groups) if save_names.field_meshes is not None: problem.save_field_meshes(save_names.field_meshes) if save_names.ebc is not None: problem.save_ebc(save_names.ebc, force=False) if save_names.ebc_nodes is not None: problem.save_ebc(save_names.ebc_nodes, force=True) def assign_standard_hooks(obj, get, conf): """ Set standard hook function attributes from `conf` to `obj` using the `get` function. """ hook_names = ['step_hook', 'post_process_hook', 'post_process_hook_final', 'pre_process_hook'] for hook_name in hook_names: setattr(obj, hook_name, conf.get_function(get(hook_name, None))) class PDESolverApp(Application): @staticmethod def process_options(options): """ Application options setup. Sets default values for missing non-compulsory options. """ get = options.get output_dir = get('output_dir', '.') if not os.path.exists(output_dir): os.makedirs(output_dir) return Struct(save_results=get('save_results', True), # Save each variable into a separate file, using # the region of its definition only. linearization=dict_to_struct(get('linearization', {'kind' : 'strip'})), file_per_var=get('file_per_var', False), output_format=get('output_format', 'vtk'), output_dir=output_dir, # Called after each time step, can do anything, no # return value. step_hook=get('step_hook', None), # Called after each time step. post_process_hook=get('post_process_hook', None), # Called after all time steps, or in the # stationary case. post_process_hook_final=get('post_process_hook_final', None), # Called in init process. pre_process_hook=get('pre_process_hook', None), use_equations=get('use_equations', 'equations')) def __init__(self, conf, options, output_prefix, init_equations=True, **kwargs): """`kwargs` are passed to Problem.from_conf() Command-line options have precedence over conf.options.""" Application.__init__( self, conf, options, output_prefix ) self.setup_options() is_eqs = init_equations if hasattr(options, 'solve_not') and options.solve_not: is_eqs = False self.problem = Problem.from_conf(conf, init_equations=is_eqs, **kwargs) self.setup_output_info( self.problem, self.options ) def setup_options( self ): self.app_options = PDESolverApp.process_options(self.conf.options) assign_standard_hooks(self, self.app_options.get, self.conf) # Override default equations, if use_equations is set. if hasattr(self.conf, 'equations'): self.conf.equations = getattr(self.conf, self.app_options.use_equations) def setup_output_info(self, problem, options): """Modifies both problem and options!""" if options.output_filename_trunk is None: if self.conf.get('filename_mesh') is not None: filename_mesh = self.conf.filename_mesh if isinstance(filename_mesh, MeshIO): ofn_trunk = filename_mesh.get_filename_trunk() else: ofn_trunk = io.get_trunk(filename_mesh) elif self.conf.get('filename_domain') is not None: ofn_trunk = io.get_trunk(self.conf.filename_domain) else: raise ValueError('missing filename_mesh or filename_domain!') options.output_filename_trunk = ofn_trunk else: ofn_trunk = options.output_filename_trunk if hasattr(options, 'output_format') \ and (options.output_format is not None): output_format = options.output_format else: output_format = self.app_options.output_format problem.setup_output(output_filename_trunk=ofn_trunk, output_dir=self.app_options.output_dir, output_format=output_format, file_per_var=self.app_options.file_per_var, linearization=self.app_options.linearization) def call(self, nls_status=None): problem = self.problem options = self.options opts = self.app_options if self.pre_process_hook is not None: # User pre_processing. self.pre_process_hook(problem) ofn_trunk = problem.ofn_trunk self.save_names = Struct(ebc=ofn_trunk + '_ebc.vtk' if options.save_ebc else None, ebc_nodes=ofn_trunk + '_ebc_nodes.vtk' if options.save_ebc_nodes else None, regions=ofn_trunk + '_region' if options.save_regions else None, regions_as_groups=ofn_trunk + '_regions' if options.save_regions_as_groups else None, field_meshes=ofn_trunk + '_field' if options.save_field_meshes else None) if any(self.save_names.to_dict().values()): save_only(self.conf, self.save_names, problem=problem) if options.solve_not: return None, None, None time_solver = problem.get_time_solver() state = time_solver(save_results=opts.save_results, step_hook=self.step_hook, post_process_hook=self.post_process_hook, nls_status=nls_status) if self.post_process_hook_final is not None: # User postprocessing. self.post_process_hook_final(problem, state) return problem, state def save_dict(self, filename, data): """ Utility function to save a dictionary `data` to a HDF5 file `filename`. """ io.write_dict_hdf5(filename, data) def load_dict(self, filename): """ Utility function to load a dictionary `data` from a HDF5 file `filename`. """ data = io.read_dict_hdf5(filename) return data sfepy-release_2015.1/sfepy/applications/setup.py000066400000000000000000000006771247364230400217750ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/base/000077500000000000000000000000001247364230400164755ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/base/__init__.py000066400000000000000000000000011247364230400205750ustar00rootroot00000000000000 sfepy-release_2015.1/sfepy/base/base.py000066400000000000000000001130161247364230400177630ustar00rootroot00000000000000import time import sys import os from copy import copy, deepcopy from types import UnboundMethodType from getch import getch import numpy as nm import scipy.sparse as sp real_types = [nm.float64] complex_types = [nm.complex128] nm.set_printoptions(threshold=100) from sfepy.base.goptions import goptions sfepy_config_dir = os.path.expanduser('~/.sfepy') if not os.path.exists(sfepy_config_dir): os.makedirs(sfepy_config_dir) if sys.version[0] < '3': basestr = basestring else: basestr = str def get_debug(): """ Utility function providing ``debug()`` function. """ try: import IPython except ImportError: debug = None else: old_excepthook = sys.excepthook def debug(frame=None, frames_back=1): if IPython.__version__ >= '0.11': from IPython.core.debugger import Pdb try: ip = get_ipython() except NameError: from IPython.frontend.terminal.embed \ import InteractiveShellEmbed ip = InteractiveShellEmbed() colors = ip.colors else: from IPython.Debugger import Pdb from IPython.Shell import IPShell from IPython import ipapi ip = ipapi.get() if ip is None: IPShell(argv=['']) ip = ipapi.get() colors = ip.options.colors sys.excepthook = old_excepthook if frame is None: frame = sys._getframe(frames_back) Pdb(colors).set_trace(frame) if debug is None: import pdb debug = lambda frame=None, frames_back=1: pdb.set_trace() debug.__doc__ = """ Start debugger on line where it is called, roughly equivalent to:: import pdb; pdb.set_trace() First, this function tries to start an `IPython`-enabled debugger using the `IPython` API. When this fails, the plain old `pdb` is used instead. With IPython, one can say in what frame the debugger can stop. """ return debug debug = get_debug() def mark_time(times, msg=None): """ Time measurement utility. Measures times of execution between subsequent calls using time.clock(). The time is printed if the msg argument is not None. Examples -------- >>> times = [] >>> mark_time(times) ... do something >>> mark_time(times, 'elapsed') elapsed 0.1 ... do something else >>> mark_time(times, 'elapsed again') elapsed again 0.05 >>> times [0.10000000000000001, 0.050000000000000003] """ tt = time.clock() times.append(tt) if (msg is not None) and (len(times) > 1): print msg, times[-1] - times[-2] def import_file(filename, package_name=None, can_reload=True): """ Import a file as a module. The module is explicitly reloaded to prevent undesirable interactions. """ from sfepy import base_dir top_dir = os.path.normpath(os.path.join(base_dir, '..')) path = os.path.dirname(os.path.normpath(os.path.realpath(filename))) if (package_name is None) and (top_dir == path[:len(top_dir)]): package_name = path[len(top_dir) + 1:].replace(os.sep, '.') path = top_dir if not path in sys.path: sys.path.append(path) remove_path = True else: remove_path = False name = os.path.splitext(os.path.basename(filename))[0] if package_name: mod = __import__('.'.join((package_name, name)), fromlist=[name]) else: mod = __import__(name) if (name in sys.modules) and can_reload: reload(mod) if remove_path: sys.path.pop(-1) return mod def try_imports(imports, fail_msg=None): """ Try import statements until one succeeds. Parameters ---------- imports : list The list of import statements. fail_msg : str If not None and no statement succeeds, a `ValueError` is raised with the given message, appended to all failed messages. Returns ------- locals : dict The dictionary of imported modules. """ msgs = [] for imp in imports: try: exec imp break except Exception, inst: msgs.append(str(inst)) else: if fail_msg is not None: msgs.append(fail_msg) raise ValueError('\n'.join(msgs)) return locals() def python_shell(): import code frame = sys._getframe(1) code.interact(local=frame.f_locals) def assert_(condition, msg='assertion failed!'): if not condition: raise ValueError(msg) ## # c: 06.04.2005, r: 05.05.2008 def pause(msg=None): """ Prints the line number and waits for a keypress. If you press: "q" ............. it will call sys.exit() any other key ... it will continue execution of the program This is useful for debugging. """ f = sys._getframe(1) ff = f.f_code if (msg): print '%s, %d: %s(), %d: %s' % (ff.co_filename, ff.co_firstlineno, ff.co_name, f.f_lineno, msg) else: print '%s, %d: %s(), %d' % (ff.co_filename, ff.co_firstlineno, ff.co_name, f.f_lineno) spause() ## # Silent pause. # 18.02.2005, c # 12.02.2007 def spause(msg=None): """ Waits for a keypress. If you press: "q" ............. it will call sys.exit() any other key ... it will continue execution of the program This is useful for debugging. This function is called from pause(). """ if (msg): print msg sys.stdout.flush() ch = getch() if ch == 'q': sys.exit() ## # 02.01.2005 class Struct(object): # 03.10.2005, c # 26.10.2005 def __init__(self, **kwargs): if kwargs: self.__dict__.update(kwargs) def _format_sequence(self, seq, threshold): threshold_half = threshold / 2 if len(seq) > threshold: out = ', '.join(str(ii) for ii in seq[:threshold_half]) \ + ', ..., ' \ + ', '.join(str(ii) for ii in seq[-threshold_half:]) else: out = str(seq) return out # 08.03.2005 def __str__(self): """Print instance class, name and items in alphabetical order. If the class instance has '_str_attrs' attribute, only the attributes listed there are taken into account. Other attributes are provided only as a list of attribute names (no values). For attributes that are Struct instances, if the listed attribute name ends with '.', the attribute is printed fully by calling str(). Otherwise only its class name/name are printed. Attributes that are NumPy arrays or SciPy sparse matrices are printed in a brief form. Only keys of dict attributes are printed. For the dict keys as well as list or tuple attributes only several edge items are printed if their length is greater than the threshold value 20. """ return self._str() def _str(self, keys=None, threshold=20): ss = '%s' % self.__class__.__name__ if hasattr(self, 'name'): ss += ':%s' % self.name ss += '\n' if keys is None: keys = self.__dict__.keys() str_attrs = sorted(Struct.get(self, '_str_attrs', keys)) printed_keys = [] for key in str_attrs: if key[-1] == '.': key = key[:-1] full_print = True else: full_print = False printed_keys.append(key) try: val = getattr(self, key) except AttributeError: continue if isinstance(val, Struct): if not full_print: ss += ' %s:\n %s' % (key, val.__class__.__name__) if hasattr(val, 'name'): ss += ':%s' % val.name ss += '\n' else: aux = '\n' + str(val) aux = aux.replace('\n', '\n ') ss += ' %s:\n%s\n' % (key, aux[1:]) elif isinstance(val, dict): sval = self._format_sequence(val.keys(), threshold) sval = sval.replace('\n', '\n ') ss += ' %s:\n dict with keys: %s\n' % (key, sval) elif isinstance(val, list): sval = self._format_sequence(val, threshold) sval = sval.replace('\n', '\n ') ss += ' %s:\n list: %s\n' % (key, sval) elif isinstance(val, tuple): sval = self._format_sequence(val, threshold) sval = sval.replace('\n', '\n ') ss += ' %s:\n tuple: %s\n' % (key, sval) elif isinstance(val, nm.ndarray): ss += ' %s:\n %s array of %s\n' \ % (key, val.shape, val.dtype) elif isinstance(val, sp.spmatrix): ss += ' %s:\n %s spmatrix of %s, %d nonzeros\n' \ % (key, val.shape, val.dtype, val.nnz) else: aux = '\n' + str(val) aux = aux.replace('\n', '\n ') ss += ' %s:\n%s\n' % (key, aux[1:]) other_keys = sorted(set(keys).difference(set(printed_keys))) if len(other_keys): ss += ' other attributes:\n %s\n' \ % '\n '.join(key for key in other_keys) return ss.rstrip() def __repr__(self): ss = "%s" % self.__class__.__name__ if hasattr(self, 'name'): ss += ":%s" % self.name return ss ## # 28.08.2007, c def __add__(self, other): """Merge Structs. Attributes of new are those of self unless an attribute and its counterpart in other are both Structs - these are merged then.""" new = copy(self) for key, val in other.__dict__.iteritems(): if hasattr(new, key): sval = getattr(self, key) if issubclass(sval.__class__, Struct) and \ issubclass(val.__class__, Struct): setattr(new, key, sval + val) else: setattr(new, key, sval) else: setattr(new, key, val) return new ## # 28.08.2007, c def __iadd__(self, other): """Merge Structs in place. Attributes of self are left unchanged unless an attribute and its counterpart in other are both Structs - these are merged then.""" for key, val in other.__dict__.iteritems(): if hasattr(self, key): sval = getattr(self, key) if issubclass(sval.__class__, Struct) and \ issubclass(val.__class__, Struct): setattr(self, key, sval + val) else: setattr(self, key, val) return self def str_class(self): """ As __str__(), but for class attributes. """ return self._str(self.__class__.__dict__.keys()) # 08.03.2005, c def str_all(self): ss = "%s\n" % self.__class__ for key, val in self.__dict__.iteritems(): if issubclass(self.__dict__[key].__class__, Struct): ss += " %s:\n" % key aux = "\n" + self.__dict__[key].str_all() aux = aux.replace("\n", "\n ") ss += aux[1:] + "\n" else: aux = "\n" + str(val) aux = aux.replace("\n", "\n ") ss += " %s:\n%s\n" % (key, aux[1:]) return(ss.rstrip()) ## # 09.07.2007, c def to_dict(self): return copy(self.__dict__) def get(self, key, default=None, msg_if_none=None): """ A dict-like get() for Struct attributes. """ out = getattr(self, key, default) if (out is None) and (msg_if_none is not None): raise ValueError(msg_if_none) return out def update(self, other, **kwargs): """ A dict-like update for Struct attributes. """ if other is None: return if not isinstance(other, dict): other = other.to_dict() self.__dict__.update(other, **kwargs) def set_default(self, key, default=None): """ Behaves like dict.setdefault(). """ return self.__dict__.setdefault(key, default) def copy(self, deep=False, name=None): """Make a (deep) copy of self. Parameters: deep : bool Make a deep copy. name : str Name of the copy, with default self.name + '_copy'. """ if deep: other = deepcopy(self) else: other = copy(self) if hasattr(self, 'name'): other.name = get_default(name, self.name + '_copy') return other # # 12.07.2007, c class IndexedStruct(Struct): ## # 12.07.2007, c def __getitem__(self, key): return getattr(self, key) ## # 12.07.2007, c def __setitem__(self, key, val): setattr(self, key, val) ## # 14.07.2006, c class Container(Struct): def __init__(self, objs=None, **kwargs): Struct.__init__(self, **kwargs) if objs is not None: self._objs = objs self.update() else: self._objs = [] self.names = [] def update(self, objs=None): if objs is not None: self._objs = objs self.names = [obj.name for obj in self._objs] def __setitem__(self, ii, obj): try: if isinstance(ii, basestr): if ii in self.names: ii = self.names.index(ii) else: ii = len(self.names) elif not isinstance(ii, int): raise ValueError('bad index type! (%s)' % type(ii)) if ii >= len(self.names): self._objs.append(obj) self.names.append(obj.name) else: self._objs[ii] = obj self.names[ii] = obj.name except (IndexError, ValueError), msg: raise IndexError(msg) def __getitem__(self, ii): try: if isinstance(ii, basestr): ii = self.names.index(ii) elif not isinstance(ii, int): raise ValueError('bad index type! (%s)' % type(ii)) return self._objs[ii] except (IndexError, ValueError), msg: raise IndexError(msg) def __iter__(self): return self._objs.__iter__() ## # 18.07.2006, c def __len__(self): return len(self._objs) def insert(self, ii, obj): self._objs.insert(ii, obj) self.names.insert(ii, obj.name) def append(self, obj): self[len(self.names)] = obj def extend(self, objs): """ Extend the container items by the sequence `objs`. """ for obj in objs: self.append(obj) def get(self, ii, default=None, msg_if_none=None): """ Get an item from Container - a wrapper around Container.__getitem__() with defaults and custom error message. Parameters ---------- ii : int or str The index or name of the item. default : any, optional The default value returned in case the item `ii` does not exist. msg_if_none : str, optional If not None, and if `default` is None and the item `ii` does not exist, raise ValueError with this message. """ try: out = self[ii] except (IndexError, ValueError): if default is not None: out = default else: if msg_if_none is not None: raise ValueError(msg_if_none) else: raise return out def remove_name(self, name): ii = self.names.index[name] del self.names[ii] del self._objs[ii] ## # dict-like methods. def itervalues(self): return self._objs.__iter__() def iterkeys(self): return self.get_names().__iter__() def iteritems(self): for obj in self._objs: yield obj.name, obj ## # 20.09.2006, c def has_key(self, ii): if isinstance(ii, int): if (ii < len(self)) and (ii >= (-len(self))): return True else: return False elif isinstance(ii, basestr): try: self.names.index(ii) return True except: return False else: raise IndexError('unsupported index type: %s' % ii) ## # 12.06.2007, c def print_names(self): print [obj.name for obj in self._objs] def get_names(self): return [obj.name for obj in self._objs] def as_dict(self): """ Return stored objects in a dictionary with object names as keys. """ out = {} for key, val in self.iteritems(): out[key] = val return out ## # 30.11.2004, c # 01.12.2004 # 01.12.2004 class OneTypeList(list): def __init__(self, item_class, seq=None): self.item_class = item_class if seq is not None: for obj in seq: self.append(obj) def __setitem__(self, key, value): if (type(value) in (list, tuple)): for ii, val in enumerate(value): if not isinstance(val, self.item_class): raise TypeError else: if not isinstance(value, self.item_class): raise TypeError list.__setitem__(self, key, value) ## # 21.11.2005, c def __getitem__(self, ii): if isinstance(ii, int): return list.__getitem__(self, ii) elif isinstance(ii, basestr): ir = self.find(ii, ret_indx=True) if ir: return list.__getitem__(self, ir[0]) else: raise IndexError, ii else: raise IndexError, ii def __str__(self): ss = "[\n" for ii in self: aux = "\n" + ii.__str__() aux = aux.replace("\n", "\n ") ss += aux[1:] + "\n" ss += "]" return(ss) def find(self, name, ret_indx=False): for ii, item in enumerate(self): if item.name == name: if ret_indx: return ii, item else: return item return None ## # 12.06.2007, c def print_names(self): print [ii.name for ii in self] def get_names(self): return [ii.name for ii in self] class Output(Struct): """ Factory class providing output (print) functions. All SfePy printing should be accomplished by this class. Examples -------- >>> from sfepy.base.base import Output >>> output = Output('sfepy:') >>> output(1, 2, 3, 'hello') sfepy: 1 2 3 hello >>> output.prefix = 'my_cool_app:' >>> output(1, 2, 3, 'hello') my_cool_app: 1 2 3 hello """ def __init__(self, prefix, filename=None, quiet=False, combined=False, append=False, **kwargs): Struct.__init__(self, **kwargs) self.prefix = prefix self.set_output(filename=filename, quiet=quiet, combined=combined, append=append) def __call__(self, *argc, **argv): """Call self.output_function. Parameters ---------- argc : positional arguments The values to print. argv : keyword arguments The arguments to control the output behaviour. Supported keywords are listed below. verbose : bool (in **argv) No output if False. """ verbose = argv.get('verbose', goptions['verbose']) if verbose: self.output_function(*argc, **argv) def set_output(self, filename=None, quiet=False, combined=False, append=False): """ Set the output mode. If `quiet` is `True`, no messages are printed to screen. If simultaneously `filename` is not `None`, the messages are logged into the specified file. If `quiet` is `False`, more combinations are possible. If `filename` is `None`, output is to screen only, otherwise it is to the specified file. Moreover, if `combined` is `True`, both the ways are used. Parameters ---------- filename : str or file object Print messages into the specified file. quiet : bool Do not print anything to screen. combined : bool Print both on screen and into the specified file. append : bool Append to an existing file instead of overwriting it. Use with `filename`. """ if not isinstance(filename, basestr): # filename is a file descriptor. append = True self.level = 0 def output_none(*argc, **argv): pass def output_screen(*argc, **argv): format = '%s' + ' %s' * (len(argc) - 1) msg = format % argc if msg.startswith('...'): self.level -= 1 print self._prefix + (' ' * self.level) + msg if msg.endswith('...'): self.level += 1 def print_to_file(filename, msg): if isinstance(filename, basestr): fd = open(filename, 'a') else: fd = filename print >>fd, self._prefix + (' ' * self.level) + msg if isinstance(filename, basestr): fd.close() else: fd.flush() def output_file(*argc, **argv): format = '%s' + ' %s' * (len(argc) - 1) msg = format % argc if msg.startswith('...'): self.level -= 1 print_to_file(filename, msg) if msg.endswith('...'): self.level += 1 def output_combined(*argc, **argv): format = '%s' + ' %s' * (len(argc) - 1) msg = format % argc if msg.startswith('...'): self.level -= 1 print self._prefix + (' ' * self.level) + msg print_to_file(filename, msg) if msg.endswith('...'): self.level += 1 def reset_file(filename): if isinstance(filename, basestr): output_dir = os.path.dirname(filename) if output_dir and not os.path.exists(output_dir): os.makedirs(output_dir) fd = open(filename, 'w') fd.close() else: raise ValueError('cannot reset a file object!') if quiet is True: if filename is not None: if not append: reset_file(filename) self.output_function = output_file else: self.output_function = output_none else: if filename is None: self.output_function = output_screen else: if not append: reset_file(filename) if combined: self.output_function = output_combined else: self.output_function = output_file def get_output_function(self): return self.output_function def set_output_prefix(self, prefix): assert_(isinstance(prefix, basestr)) if len(prefix) > 0: prefix += ' ' self._prefix = prefix def get_output_prefix(self): return self._prefix[:-1] prefix = property(get_output_prefix, set_output_prefix) output = Output('sfepy:') def configure_output(options): """ Configure the standard :function:`output()` function using `output_log_name` and `output_screen` attributes of `options`. Parameters ---------- options : Struct or dict The options with `output_screen` and `output_log_name` items. Defaults are provided if missing. """ output_screen = options.get('output_screen', True) output_log_name = options.get('output_log_name', None) output.set_output(filename=output_log_name, quiet=not output_screen, combined=output_screen and (output_log_name is not None)) def print_structs(objs): """Print Struct instances in a container, works recursively. Debugging utility function.""" if isinstance(objs, dict): for key, vals in objs.iteritems(): print key print_structs(vals) elif isinstance(objs, list): for vals in objs: print_structs(vals) else: print objs def iter_dict_of_lists(dol, return_keys=False): for key, vals in dol.iteritems(): for ii, val in enumerate(vals): if return_keys: yield key, ii, val else: yield val ## # 19.07.2005, c # 26.05.2006 # 17.10.2007 def dict_to_struct(*args, **kwargs): """Convert a dict instance to a Struct instance.""" try: level = kwargs['level'] except: level = 0 try: flag = kwargs['flag'] except: flag = (1,) # For level 0 only... try: constructor = kwargs['constructor'] except: constructor = Struct out = [] for arg in args: if type(arg) == dict: if flag[level]: aux = constructor() else: aux = {} for key, val in arg.iteritems(): if type(val) == dict: try: flag[level + 1] except: flag = flag + (0,) val2 = dict_to_struct(val, level=level + 1, flag=flag) if flag[level]: aux.__dict__[key] = val2 else: aux[key] = val2 else: if flag[level]: aux.__dict__[key] = val else: aux[key] = val out.append(aux) else: out.append(arg) if len(out) == 1: out = out[0] return out ## # 23.01.2006, c def is_sequence(var): if issubclass(var.__class__, tuple) or issubclass(var.__class__, list): return True else: return False ## # 17.10.2007, c def is_derived_class(cls, parent): return issubclass(cls, parent) and (cls is not parent) ## # 23.10.2007, c def insert_static_method(cls, function): setattr(cls, function.__name__, staticmethod(function)) ## # 23.10.2007, c def insert_method(instance, function): setattr(instance, function.__name__, UnboundMethodType(function, instance, instance.__class__)) def use_method_with_name(instance, method, new_name): setattr(instance, new_name, method) def insert_as_static_method(cls, name, function): setattr(cls, name, staticmethod(function)) def find_subclasses(context, classes, omit_unnamed=False, name_attr='name'): """Find subclasses of the given classes in the given context. Examples -------- >>> solver_table = find_subclasses(vars().items(), [LinearSolver, NonlinearSolver, TimeSteppingSolver, EigenvalueSolver, OptimizationSolver]) """ var_dict = context.items() table = {} for key, var in var_dict: try: for cls in classes: if is_derived_class(var, cls): if hasattr(var, name_attr): key = getattr(var, name_attr) if omit_unnamed and not key: continue elif omit_unnamed: continue else: key = var.__class__.__name__ table[key] = var break except TypeError: pass return table def load_classes(filenames, classes, package_name=None, ignore_errors=False, name_attr='name'): """ For each filename in filenames, load all subclasses of classes listed. """ table = {} for filename in filenames: if not ignore_errors: mod = import_file(filename, package_name=package_name, can_reload=False) else: try: mod = import_file(filename, package_name=package_name, can_reload=False) except: output('WARNING: module %s cannot be imported!' % filename) output('reason:\n', sys.exc_info()[1]) continue table.update(find_subclasses(vars(mod), classes, omit_unnamed=True, name_attr=name_attr)) return table def update_dict_recursively(dst, src, tuples_too=False, overwrite_by_none=True): """ Update `dst` dictionary recursively using items in `src` dictionary. Parameters ---------- dst : dict The destination dictionary. src : dict The source dictionary. tuples_too : bool If True, recurse also into dictionaries that are members of tuples. overwrite_by_none : bool If False, do not overwrite destination dictionary values by None. Returns ------- dst : dict The destination dictionary. """ def tuplezip(a): if isinstance(a[0], dict) and isinstance(a[1], dict): return update_dict_recursively(a[0], a[1], True) return a[1] for key in src: if key in dst: if isinstance(src[key], dict) and isinstance(dst[key], dict): dst[key] = update_dict_recursively(dst[key], src[key], tuples_too) continue if tuples_too and isinstance(dst[key], tuple) \ and isinstance(src[key], tuple): dst[key] = tuple(map(tuplezip, zip(src[key], dst[key]))[:len(dst[key])]) continue if overwrite_by_none or not src[key] is None: dst[key] = src[key] return dst def edit_tuple_strings(str_tuple, old, new, recur=False): """ Replace substrings `old` with `new` in items of tuple `str_tuple`. Non-string items are just copied to the new tuple. Parameters ---------- str_tuple : tuple The tuple with string values. old : str The old substring. new : str The new substring. recur : bool If True, edit items that are tuples recursively. Returns ------- new_tuple : tuple The tuple with edited strings. """ new_tuple = [] for item in str_tuple: if isinstance(item, basestr): item = item.replace(old, new) elif recur and isinstance(item, tuple): item = edit_tuple_strings(item, old, new, recur=True) new_tuple.append(item) return tuple(new_tuple) def edit_dict_strings(str_dict, old, new, recur=False): """ Replace substrings `old` with `new` in string values of dictionary `str_dict`. Both `old` and `new` can be lists of the same length - items in `old` are replaced by items in `new` with the same index. Parameters ---------- str_dict : dict The dictionary with string values or tuples containing strings. old : str or list of str The old substring or list of substrings. new : str or list of str The new substring or list of substrings. recur : bool If True, edit tuple values recursively. Returns ------- new_dict : dict The dictionary with edited strings. """ if isinstance(old, basestr): new_dict = {} for key, val in str_dict.iteritems(): if isinstance(val, basestr): new_dict[key] = val.replace(old, new) elif isinstance(val, tuple): new_dict[key] = edit_tuple_strings(val, old, new, recur=recur) else: raise ValueError('unsupported value! (%s)' % type(val)) else: assert_(len(old) == len(new)) new_dict = dict(str_dict) for ii, _old in enumerate(old): new_dict.update(edit_dict_strings(new_dict, _old, new[ii], recur=recur)) return new_dict def invert_dict(d, is_val_tuple=False, unique=True): """ Invert a dictionary by making its values keys and vice versa. Parameters ---------- d : dict The input dictionary. is_val_tuple : bool If True, the `d` values are tuples and new keys are the tuple items. unique : bool If True, the `d` values are unique and so the mapping is one to one. If False, the `d` values (possibly) repeat, so the inverted dictionary will have as items lists of corresponding keys. Returns ------- di : dict The inverted dictionary. """ di = {} for key, val in d.iteritems(): if unique: if is_val_tuple: for v in val: di[v] = key else: di[val] = key else: if is_val_tuple: for v in val: item = di.setdefault(v, []) item.append(key) else: item = di.setdefault(val, []) item.append(key) return di def remap_dict(d, map): """ Utility function to remap state dict keys according to var_map. """ out = {} for new_key, key in map.iteritems(): out[new_key] = d[key] return out ## # 24.08.2006, c # 05.09.2006 def dict_from_keys_init(keys, seq_class=None): if seq_class is None: return {}.fromkeys(keys) out = {} for key in keys: out[key] = seq_class() return out ## # 16.10.2006, c def dict_extend(d1, d2): for key, val in d1.iteritems(): val.extend(d2[key]) def get_subdict(adict, keys): """ Get a sub-dictionary of `adict` with given `keys`. """ return dict((key, adict[key]) for key in keys if key in adict) def set_defaults(dict_, defaults): for key, val in defaults.iteritems(): dict_.setdefault(key, val) ## # c: 12.03.2007, r: 04.04.2008 def get_default(arg, default, msg_if_none=None): if arg is None: out = default else: out = arg if (out is None) and (msg_if_none is not None): raise ValueError(msg_if_none) return out ## # c: 28.04.2008, r: 28.04.2008 def get_default_attr(obj, attr, default, msg_if_none=None): if hasattr(obj, attr): out = getattr(obj, attr) else: out = default if (out is None) and (msg_if_none is not None): raise ValueError(msg_if_none) return out def get_arguments(omit=None): """Get a calling function's arguments. Returns: args : dict The calling function's arguments. """ from inspect import getargvalues, stack if omit is None: omit = [] _args, _, _, _vars = getargvalues(stack()[1][0]) args = {} for name in _args: if name in omit: continue args[name] = _vars[name] return args def check_names(names1, names2, msg): """Check if all names in names1 are in names2, otherwise raise IndexError with the provided message msg. """ names = set(names1) both = names.intersection(names2) if both != names: missing = ', '.join(ii for ii in names.difference(both)) raise IndexError(msg % missing) ## # c: 27.02.2008, r: 27.02.2008 def select_by_names(objs_all, names, replace=None, simple=True): objs = {} for key, val in objs_all.iteritems(): if val.name in names: if replace is None: objs[key] = val else: new_val = copy(val) old_attr = getattr(val, replace[0]) if simple: new_attr = old_attr % replace[1] setattr(new_val, replace[0], new_attr) else: new_attr = replace[1].get(val.name, old_attr) setattr(new_val, replace[0], new_attr) objs[key] = new_val return objs def ordered_iteritems(adict): keys = adict.keys() order = nm.argsort(keys) for ii in order: key = keys[ii] yield key, adict[key] def dict_to_array(adict): """ Convert a dictionary of nD arrays of the same shapes with non-negative integer keys to a single (n+1)D array. """ keys = adict.keys() ik = nm.array(keys, dtype=nm.int32) assert_((ik >= 0).all()) if ik.shape[0] == 0: return nm.zeros((0,), dtype=nm.int32) aux = nm.asarray(adict[ik[0]]) out = nm.empty((ik.max() + 1,) + aux.shape, dtype=aux.dtype) out.fill(-1) for key, val in adict.iteritems(): out[key] = val return out def as_float_or_complex(val): """ Try to cast val to Python float, and if this fails, to Python complex type. """ success = False try: out = float(val) except: pass else: success = True if not success: try: out = complex(val) except: pass else: success = True if not success: raise ValueError('cannot cast %s to float or complex!' % val) return out sfepy-release_2015.1/sfepy/base/compat.py000066400000000000000000000007731247364230400203410ustar00rootroot00000000000000""" This module contains functions that have different names or behavior depending on NumPy and Scipy versions. """ import numpy as nm import scipy as sc __all__ = ['in1d', 'unique'] try: in1d = nm.in1d except AttributeError: in1d = nm.setmember1d unique = nm.unique try: nm.unique([0], return_index=True, return_inverse=True) except TypeError: unique = nm.unique1d try: factorial = sc.factorial except AttributeError: import scipy.misc as scm factorial = scm.factorial sfepy-release_2015.1/sfepy/base/conf.py000066400000000000000000000470251247364230400200040ustar00rootroot00000000000000""" Problem description file handling. Notes ----- Short syntax: key is suffixed with '__' to prevent collisions with long syntax keys -> both cases can be used in a single input. """ import re import numpy as nm from sfepy.base.base import (Struct, IndexedStruct, dict_to_struct, output, copy, update_dict_recursively, import_file, assert_, get_default, basestr) from sfepy.base.parse_conf import create_bnf _required = ['filename_mesh|filename_domain', 'field_[0-9]+|fields', 'ebc_[0-9]+|ebcs', 'equations', 'region_[0-9]+|regions', 'variable_[0-9]+|variables', 'material_[0-9]+|materials', 'solver_[0-9]+|solvers'] _other = ['epbc_[0-9]+|epbcs', 'lcbc_[0-9]+|lcbcs', 'nbc_[0-9]+|nbcs', 'ic_[0-9]+|ics', 'function_[0-9]+|functions', 'options', 'integral_[0-9]+|integrals'] def get_standard_keywords(): return copy(_required), copy(_other) def tuple_to_conf(name, vals, order): """ Convert a configuration tuple `vals` into a Struct named `name`, with attribute names given in and ordered by `order`. Items in `order` at indices outside the length of `vals` are ignored. """ conf = Struct(name=name) for ii, key in enumerate(order[:len(vals)]): setattr(conf, key, vals[ii]) return conf def transform_variables(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['kind', 'field']) if len(conf) >= 3: kind = c2.kind.split()[0] if kind == 'unknown': c2.order = conf[2] elif kind == 'test': c2.dual = conf[2] elif kind == 'parameter': if isinstance(conf[2], basestr) or (conf[2] is None): c2.like = conf[2] else: c2.like = None c2.special = conf[2] if len(conf) == 4: c2.history = conf[3] d2['variable_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['variable_'+c2.name] = c2 return d2 def transform_conditions(adict, prefix): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): if len(conf) == 2: c2 = tuple_to_conf(key, conf, ['region', 'dofs']) else: c2 = tuple_to_conf(key, conf, ['region', 'times', 'dofs']) d2['%s_%s__%d' % (prefix, c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['%s_%s' % (prefix, c2.name)] = c2 return d2 def transform_ebcs(adict): return transform_conditions(adict, 'ebc') def transform_ics(adict): return transform_conditions(adict, 'ic') def transform_lcbcs(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): if len(conf) >= 4: if isinstance(conf[1], dict): c2 = tuple_to_conf(key, conf, ['region', 'dofs', 'dof_map_fun', 'kind']) c2.arguments = conf[4:] else: c2 = tuple_to_conf(key, conf, ['region', 'times', 'dofs', 'dof_map_fun', 'kind']) c2.arguments = conf[5:] else: msg = 'LCBC syntax has to be: region[, times], dofs,' \ ' dof_map_fun, kind[, other arguments]' raise SyntaxError(msg) d2['lcbc_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) c2.set_default('dof_map_fun', None) c2.set_default('arguments', ()) d2['lcbc_%s' % (c2.name)] = c2 return d2 def transform_epbcs(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): if len(conf) == 3: c2 = tuple_to_conf(key, conf, ['region', 'dofs', 'match']) else: c2 = tuple_to_conf(key, conf, ['region', 'times', 'dofs', 'match']) d2['epbc_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['epbc_%s' % c2.name] = c2 return d2 def transform_regions(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, basestr): c2 = Struct(name=key, select=conf) d2['region_%s__%d' % (c2.name, ii)] = c2 elif isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['select', 'kind']) if len(conf) == 3: c2.parent = conf[2] d2['region_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['region_'+c2.name] = c2 return d2 def transform_integrals(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, int): c2 = Struct(name=key, order=conf) d2['integral_%s__%d' % (c2.name, ii)] = c2 elif isinstance(conf, tuple): if len(conf) == 2: # Old tuple version with now-ignored 'kind'. conf = conf[1] c2 = Struct(name=key, order=conf) elif len(conf) == 3: c2 = tuple_to_conf(key, conf, ['order', 'vals', 'weights']) d2['integral_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['integral_'+c2.name] = c2 return d2 def transform_fields(adict): dtypes = {'real' : nm.float64, 'complex' : nm.complex128} d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['dtype', 'shape', 'region', 'approx_order', 'space', 'poly_space_base']) if c2.dtype in dtypes: c2.dtype = dtypes[c2.dtype] d2['field_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) c2.set_default('dtype', nm.float64) if c2.dtype in dtypes: c2.dtype = dtypes[c2.dtype] d2['field_'+c2.name] = c2 return d2 def transform_materials(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, basestr): c2 = Struct(name=key, function=conf) d2['material_%s__%d' % (c2.name, ii)] = c2 elif isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['values', 'function', 'kind']) if len(conf) == 4: c2.flags = conf[3] d2['material_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['material_'+conf['name']] = c2 return d2 def transform_solvers(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['kind','params']) for param, val in c2.params.iteritems(): setattr(c2, param, val) delattr(c2, 'params') d2['solvers_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['solvers_'+c2.name] = c2 return d2 def transform_functions(adict): d2 = {} for ii, (key, conf) in enumerate(adict.iteritems()): if isinstance(conf, tuple): c2 = tuple_to_conf(key, conf, ['function']) d2['function_%s__%d' % (c2.name, ii)] = c2 else: c2 = transform_to_struct_1(conf) d2['function_'+c2.name] = c2 return d2 def transform_to_struct_1(adict): return dict_to_struct(adict, flag=(1,)) def transform_to_i_struct_1(adict): return dict_to_struct(adict, flag=(1,), constructor=IndexedStruct) def transform_to_struct_01(adict): return dict_to_struct(adict, flag=(0,1)) def transform_to_struct_10(adict): return dict_to_struct(adict, flag=(1,0)) transforms = { 'options' : transform_to_i_struct_1, 'solvers' : transform_solvers, 'integrals' : transform_integrals, 'opt' : transform_to_struct_1, 'regions' : transform_regions, 'shape_opt' : transform_to_struct_10, 'fields' : transform_fields, 'variables' : transform_variables, 'ebcs' : transform_ebcs, 'epbcs' : transform_epbcs, 'nbcs' : transform_to_struct_01, 'lcbcs' : transform_lcbcs, 'ics' : transform_ics, 'materials' : transform_materials, 'functions' : transform_functions, } def dict_from_string(string): """ Parse `string` and return a dictionary that can be used to construct/override a ProblemConf instance. """ if string is None: return {} if isinstance(string, dict): return string parser = create_bnf() out = {} for r in parser.parseString(string, parseAll=True): out.update(r) return out def dict_from_options(options): """ Return a dictionary that can be used to construct/override a ProblemConf instance based on `options`. See ``--conf`` and ``--options`` options of the ``simple.py`` script. """ override = dict_from_string(options.conf) if options.app_options: if not 'options' in override: override['options'] = {} override_options = dict_from_string(options.app_options) override['options'].update(override_options) return override ## # 27.10.2005, c class ProblemConf(Struct): """ Problem configuration, corresponding to an input (problem description file). It validates the input using lists of required and other keywords that have to/can appear in the input. Default keyword lists can be obtained by sfepy.base.conf.get_standard_keywords(). ProblemConf instance is used to construct a Problem instance via Problem.from_conf(conf). """ @staticmethod def from_file(filename, required=None, other=None, verbose=True, define_args=None, override=None, setup=True): """ Loads the problem definition from a file. The filename can either contain plain definitions, or it can contain the define() function, in which case it will be called to return the input definitions. The job of the define() function is to return a dictionary of parameters. How the dictionary is constructed is not our business, but the usual way is to simply have a function define() along these lines in the input file:: def define(): options = { 'save_eig_vectors' : None, 'eigen_solver' : 'eigen1', } region_2 = { 'name' : 'Surface', 'select' : 'nodes of surface', } return locals() Optionally, the define() function can accept additional arguments that should be defined using the `define_args` tuple or dictionary. """ funmod = import_file(filename, package_name=False) if "define" in funmod.__dict__: if define_args is None: define_dict = funmod.__dict__["define"]() else: if isinstance(define_args, str): define_args = dict_from_string(define_args) if isinstance(define_args, dict): define_dict = funmod.__dict__["define"](**define_args) else: define_dict = funmod.__dict__["define"](*define_args) else: define_dict = funmod.__dict__ obj = ProblemConf(define_dict, funmod=funmod, filename=filename, required=required, other=other, verbose=verbose, override=override, setup=setup) return obj @staticmethod def from_file_and_options(filename, options, required=None, other=None, verbose=True, define_args=None, setup=True): """ Utility function, a wrapper around ProblemConf.from_file() with possible override taken from `options`. """ override = dict_from_options(options) obj = ProblemConf.from_file(filename, required=required, other=other, verbose=verbose, define_args=define_args, override=override, setup=setup) return obj @staticmethod def from_module(module, required=None, other=None, verbose=True, override=None, setup=True): obj = ProblemConf(module.__dict__, module, module.__name__, required, other, verbose, override, setup=setup) return obj @staticmethod def from_dict(dict_, funmod, required=None, other=None, verbose=True, override=None, setup=True): obj = ProblemConf(dict_, funmod, None, required, other, verbose, override, setup=setup) return obj def __init__(self, define_dict, funmod=None, filename=None, required=None, other=None, verbose=True, override=None, setup=True): if override: if isinstance(override, Struct): override = override.__dict__ define_dict = update_dict_recursively(define_dict, override, True) self.__dict__.update(define_dict) self.verbose = verbose if setup: self.setup(funmod=funmod, filename=filename, required=required, other=other) def setup(self, define_dict=None, funmod=None, filename=None, required=None, other=None): define_dict = get_default(define_dict, self.__dict__) self._filename = filename self.validate(required=required, other=other) self.transform_input_trivial() self._raw = {} for key, val in define_dict.iteritems(): if isinstance(val, dict): self._raw[key] = copy(val) self.transform_input() self.funmod = funmod def _validate_helper(self, items, but_nots): keys = self.__dict__.keys() left_over = keys[:] if but_nots is not None: for item in but_nots: match = re.compile('^' + item + '$').match for key in keys: if match(key): left_over.remove(key) missing = [] if items is not None: for item in items: found = False match = re.compile('^' + item + '$').match for key in keys: if match(key): found = True left_over.remove(key) if not found: missing.append(item) return left_over, missing def validate(self, required=None, other=None): required_left_over, required_missing \ = self._validate_helper(required, other) other_left_over, other_missing \ = self._validate_helper(other, required) assert_(required_left_over == other_left_over) if other_left_over and self.verbose: output('left over:', other_left_over) if required_missing: raise ValueError('required missing: %s' % required_missing) return other_missing def transform_input_trivial(self): """Trivial input transformations.""" ## # Unordered inputs. tr_list = ['([a-zA-Z0-9]+)_[0-9]+'] # Keywords not in 'required', but needed even empty (e.g. for # running tests). for key in transforms.keys(): if not self.__dict__.has_key(key): self.__dict__[key] = {} keys = self.__dict__.keys() for item in tr_list: match = re.compile(item).match for key in keys: obj = match(key) if obj: new = obj.group(1) + 's' result = {key : self.__dict__[key]} try: self.__dict__[new].update(result) except: self.__dict__[new] = result del self.__dict__[key] def transform_input(self): keys = self.__dict__.keys() for key, transform in transforms.iteritems(): if not key in keys: continue self.__dict__[key] = transform(self.__dict__[key]) def get_raw(self, key=None): if key is None: return self._raw else: return self._raw[key] def get_item_by_name(self, key, item_name): """ Return item with name `item_name` in configuration group given by `key`. """ val = getattr(self, key) for item in val.itervalues(): if item.name == item_name: return item def get_function(self, name): """ Get a function object given its name. It can be either in `ProblemConf.funmod`, or a `ProblemConf` attribute directly. Parameters ---------- name : str or function or None The function name or directly the function. Returns ------- fun : function or None The required function, or None if `name` was `None`. """ if name is None: fun = None elif callable(name): import inspect if not (inspect.isfunction(name) or inspect.ismethod(name)): msg = '`name` has to have `str` or `function` type! (got %s)' raise ValueError(msg % type(name)) fun = name else: try: fun = getattr(self.funmod, name) except AttributeError: try: fun = getattr(self, name) except AttributeError: raise ValueError('function %s cannot be found!' % name) return fun def edit(self, key, newval): self.__dict__[key] = transforms[key](newval) def update_conf(self, conf): """ Update configuration by values in another problem configuration. Values that are dictionaries are updated in-place by ``dict.update()``. Parameters ---------- conf : ProblemConf instance The other configuration. """ for x in conf.__dict__: his = conf.__dict__[x] my = getattr(self, x, None) if isinstance(my, dict) and isinstance(his, dict): my.update(his) else: setattr(self, x, his) def add_missing(self, conf): """ Add missing values from another problem configuration. Missing keys/values are added also to values that are dictionaries. Parameters ---------- conf : ProblemConf instance The other configuration. """ for x in conf.__dict__: his = conf.__dict__[x] my = getattr(self, x, None) if isinstance(my, dict) and isinstance(his, dict): for key in his: if not my.has_key(key): my[key]=his[key] elif my is None: setattr(self, x, his) sfepy-release_2015.1/sfepy/base/getch.py000066400000000000000000000040171247364230400201430ustar00rootroot00000000000000""" getch()-like unbuffered character reading from stdin on both Windows and Unix _Getch classes inspired by Danny Yoo, iskeydown() based on code by Zachary Pincus. """ import os, sys class _Getch: """Gets a single character from standard input. Does not echo to the screen.""" def __init__(self): if os.name == 'nt': self.impl = _GetchWindows() elif os.name == 'posix': self.impl = _GetchUnix() else: self.impl = _GetchDefault() def __call__(self): return self.impl() class _GetchWindows: def __init__(self): import msvcrt self.msvcrt = msvcrt def __call__(self): msvcrt = self.msvcrt c = msvcrt.getch() if c == '\x00' or c == '\xE0': #functions keys msvcrt.getch() return c def iskeydown(self): msvcrt = self.msvcrt return msvcrt.kbhit() class _GetchUnix: def __init__(self): import tty, sys, select self.mods = (tty, sys, select) def __call__(self): tty, sys, select = self.mods fd = sys.stdin.fileno() old = tty.tcgetattr(fd) tty.setcbreak(fd, tty.TCSANOW) try: return sys.stdin.read(1) finally: tty.tcsetattr(fd, tty.TCSAFLUSH, old) def iskeydown(self): tty, sys, select = self.mods fd = sys.stdin.fileno() old = tty.tcgetattr(fd) tty.setcbreak(fd, tty.TCSANOW) try: if select.select([sys.stdin], [], [], 0) == ([sys.stdin], [], []): return sys.stdin.read(1) else: return False finally: tty.tcsetattr(fd, tty.TCSAFLUSH, old) class _GetchDefault: def __call__(self): return raw_input()[0] def iskeydown(self): raise NotImplementedError getch = _Getch() if __name__ == '__main__': from base import pause, spause pause('press a key anytime the script stops!') pause() spause('last time...') print 'done.' sfepy-release_2015.1/sfepy/base/goptions.py000066400000000000000000000030261247364230400207120ustar00rootroot00000000000000""" Various global options/parameters. Notes ----- Inspired by rcParams of matplotlib. """ def validate_bool(val): """ Convert b to a boolean or raise a ValueError. """ if type(val) is str: val = val.lower() if val in ('t', 'y', 'yes', 'on', 'true', '1', 1, True): return True elif val in ('f', 'n', 'no', 'off', 'false', '0', 0, False): return False else: raise ValueError('Could not convert "%s" to boolean!' % val) default_goptions = { 'verbose' : [True, validate_bool], 'check_term_finiteness' : [False, validate_bool], } class ValidatedDict(dict): """ A dictionary object including validation. """ validate = dict([(key, validator) for key, (default, validator) in \ default_goptions.iteritems()]) def __setitem__(self, key, val): try: cval = self.validate[key](val) dict.__setitem__(self, key, cval) except KeyError: raise KeyError('%s is not a valid option.' ' See goptions.keys() for a list of valid' ' options.' % (key,)) def keys(self): """ Return sorted list of keys. """ ks = dict.keys(self) ks.sort() return ks def values(self): """ Return values in order of sorted keys. """ return [self[key] for key in self.keys()] goptions = ValidatedDict([(key, val[0]) for key, val in default_goptions.iteritems()]) sfepy-release_2015.1/sfepy/base/ioutils.py000066400000000000000000000177721247364230400205550ustar00rootroot00000000000000import numpy as nm import os import os.path as op import fnmatch import shutil from base import output, Struct, basestr try: import tables as pt except: pt = None class InDir(Struct): """ Store the directory name a file is in, and prepend this name to other files. Examples -------- >>> indir = InDir('output/file1') >>> print indir('file2') """ def __init__(self, filename): self.dir = op.split(op.join(os.getcwd(), filename))[0] def __call__(self, filename): return op.join(self.dir, filename) def ensure_path(filename): """ Check if path to `filename` exists and if not, create the necessary intermediate directories. """ dirname = os.path.dirname(filename) if dirname: if not os.path.exists(dirname): os.makedirs(dirname) if not os.path.isdir(dirname): raise IOError('cannot ensure path for "%s"!' % filename) def locate_files(pattern, root_dir=os.curdir): """ Locate all files matching fiven filename pattern in and below supplied root directory. """ for dirpath, dirnames, filenames in os.walk(os.path.abspath(root_dir)): for filename in fnmatch.filter(filenames, pattern): yield os.path.join(dirpath, filename) def remove_files(root_dir): """ Remove all files and directories in supplied root directory. """ for dirpath, dirnames, filenames in os.walk(os.path.abspath(root_dir)): for filename in filenames: os.remove(os.path.join(root_dir, filename)) for dirname in dirnames: shutil.rmtree(os.path.join(root_dir, dirname)) ## # 27.04.2006, c def get_trunk(filename): return op.splitext(op.basename(filename))[0] def edit_filename(filename, prefix='', suffix='', new_ext=None): """ Edit a file name by add a prefix, inserting a suffix in front of a file name extension or replacing the extension. Parameters ---------- filename : str The file name. prefix : str The prefix to be added. suffix : str The suffix to be inserted. new_ext : str, optional If not None, it replaces the original file name extension. Returns ------- new_filename : str The new file name. """ path, filename = os.path.split(filename) base, ext = os.path.splitext(filename) if new_ext is None: new_filename = prefix + base + suffix + ext else: new_filename = prefix + base + suffix + new_ext return os.path.join(path, new_filename) def get_print_info(n_step, fill=None): """ Returns the max. number of digits in range(n_step) and the corresponding format string. Examples: >>> get_print_info(11) (2, '%2d') >>> get_print_info(8) (1, '%1d') >>> get_print_info(100) (2, '%2d') >>> get_print_info(101) (3, '%3d') >>> get_print_info(101, fill='0') (3, '%03d') """ if n_step > 1: n_digit = int(nm.log10(n_step - 1) + 1) if fill is None: format = '%%%dd' % n_digit else: format = '%%%s%dd' % (fill, n_digit) else: n_digit, format = 0, None return n_digit, format def skip_read_line(fd, no_eof=False): """ Read the first non-empty line (if any) from the given file object. Return an empty string at EOF, if `no_eof` is False. If it is True, raise the EOFError instead. """ ls = '' while 1: try: line = fd.readline() except EOFError: break if not line: if no_eof: raise EOFError else: break ls = line.strip() if ls and (ls[0] != '#'): break return ls def read_token(fd): """ Read a single token (sequence of non-whitespace characters) from the given file object. Notes ----- Consumes the first whitespace character after the token. """ out = '' # Skip initial whitespace. while 1: ch = fd.read(1) if ch.isspace(): continue elif len(ch) == 0: return out else: break while not ch.isspace(): out = out + ch ch = fd.read(1) if len(ch) == 0: break return out def read_array(fd, n_row, n_col, dtype): """ Read a NumPy array of shape `(n_row, n_col)` from the given file object and cast it to type `dtype`. If `n_col` is None, determine the number of columns automatically. """ if n_col is None: idx = fd.tell() row = fd.readline().split() fd.seek(idx) n_col = len(row) count = n_row * n_col val = nm.fromfile(fd, sep=' ', count=count) if val.shape[0] < count: raise ValueError('(%d, %d) array reading failed!' % (n_row, n_col)) val = nm.asarray(val, dtype=dtype) val.shape = (n_row, n_col) return val ## # c: 05.02.2008, r: 05.02.2008 def read_list(fd, n_item, dtype): vals = [] ii = 0 while ii < n_item: line = [dtype(ic) for ic in fd.readline().split()] vals.append(line) ii += len(line) if ii > n_item: output('corrupted row?', line, ii, n_item) raise ValueError return vals def write_dict_hdf5(filename, adict, level=0, group=None, fd=None): if level == 0: fd = pt.openFile(filename, mode='w', title='Recursive dict dump') group = '/' for key, val in adict.iteritems(): if isinstance(val, dict): group2 = fd.createGroup(group, '_' + str(key), '%s group' % key) write_dict_hdf5(filename, val, level + 1, group2, fd) else: fd.createArray(group, '_' + str(key), val, '%s data' % key) if level == 0: fd.close() def read_dict_hdf5(filename, level=0, group=None, fd=None): out = {} if level == 0: fd = pt.openFile(filename, mode='r') group = fd.root for name, gr in group._v_groups.iteritems(): name = name.replace('_', '', 1) out[name] = read_dict_hdf5(filename, level + 1, gr, fd) for name, data in group._v_leaves.iteritems(): name = name.replace('_', '', 1) out[name] = data.read() if level == 0: fd.close() return out ## # 02.07.2007, c def write_sparse_matrix_hdf5(filename, mtx, name='a sparse matrix'): """Assume CSR/CSC.""" fd = pt.openFile(filename, mode='w', title=name) try: info = fd.createGroup('/', 'info') fd.createArray(info, 'dtype', mtx.dtype.str) fd.createArray(info, 'shape', mtx.shape) fd.createArray(info, 'format', mtx.format) data = fd.createGroup('/', 'data') fd.createArray(data, 'data', mtx.data) fd.createArray(data, 'indptr', mtx.indptr) fd.createArray(data, 'indices', mtx.indices) except: print 'matrix must be in SciPy sparse CSR/CSC format!' print mtx.__repr__() raise fd.close() ## # 02.07.2007, c # 08.10.2007 def read_sparse_matrix_hdf5(filename, output_format=None): import scipy.sparse as sp constructors = {'csr' : sp.csr_matrix, 'csc' : sp.csc_matrix} fd = pt.openFile(filename, mode='r') info = fd.root.info data = fd.root.data format = info.format.read() if not isinstance(format, basestr): format = format[0] dtype = info.dtype.read() if not isinstance(dtype, basestr): dtype = dtype[0] if output_format is None: constructor = constructors[format] else: constructor = constructors[output_format] if format in ['csc', 'csr']: mtx = constructor((data.data.read(), data.indices.read(), data.indptr.read()), shape=info.shape.read(), dtype=dtype) elif format == 'coo': mtx = constructor((data.data.read(), nm.c_[data.rows.read(), data.cols.read()].T), shape=info.shape.read(), dtype=dtype) else: print format raise ValueError fd.close() if output_format in ['csc', 'csr']: mtx.sort_indices() return mtx sfepy-release_2015.1/sfepy/base/log.py000066400000000000000000000343061247364230400176360ustar00rootroot00000000000000import time import os import atexit try: from multiprocessing import Process, Pipe except ImportError: Process = None import numpy as nm from sfepy.base.base import sfepy_config_dir, ordered_iteritems from sfepy.base.base import output, get_default, set_defaults, Output, Struct from sfepy.base.log_plotter import LogPlotter _msg_no_live = """warning: log plot is disabled, install matplotlib (use GTKAgg backend) and multiprocessing""" def get_logging_conf(conf, log_name='log'): """ Check for a log configuration ('log' attribute by default) in `conf`. Supply default values if necessary. Parameters ---------- conf : Struct The configuration object. log_name : str, optional The name of the log configuration attribute in `conf`. Returns ------- log : dict The dictionary {'plot' : , 'text' : }. One or both values can be None. """ log = conf.get(log_name, None) default_log = {'text' : None, 'plot' : None} if log is None: log = default_log else: set_defaults(log, default_log) return log def name_to_key(name, ii): return name + (':%d' % ii) def read_log(filename): """ Read data saved by :class:`Log` into a text file. Parameters ---------- filename : str The name of a text log file. Returns ------- log : dict The log with data names as keys and ``(xs, ys, vlines)`` as values. info : dict The log plot configuration with subplot numbers as keys. """ log = {} info = {} fd = open(filename, 'r') last_xval = None for line in fd: if line[0] == '#': ls = line.split(':') if ls[0] == '# groups': n_gr = int(ls[1]) for ig in range(n_gr): fd.next() line_info = fd.next() xlabel, ylabel, yscales = line_info.split(',') line_names = fd.next() names = line_names.split(':')[1] info[ig] = (xlabel.split(':')[1].strip().strip('"'), ylabel.split(':')[1].strip().strip('"'), yscales.split(':')[1].strip().strip('"'), [name.strip().strip('"') for name in names.split(',')]) continue ls = line.split(':') key = ls[0] xs, ys, vlines = log.setdefault(key, ([], [], [])) if (len(ls) == 2) and (last_xval is not None): vlines.append(last_xval) else: try: xval, yval = float(ls[1]), float(ls[2]) except ValueError: continue xs.append(xval) ys.append(yval) last_xval = xval fd.close() for key, (xs, ys, vlines) in log.iteritems(): log[key] = (nm.array(xs), nm.array(ys), nm.array(vlines)) return log, info def plot_log(fig_num, log, info, xticks=None, yticks=None): """ Plot log data returned by :func:`read_log()` into a specified figure. Parameters ---------- fig_num : int The figure number. log : dict The log with data names as keys and ``(xs, ys, vlines)`` as values. info : dict The log plot configuration with subplot numbers as keys. xticks : list of arrays, optional The list of x-axis ticks (array or None) for each subplot. yticks : list of arrays, optional The list of y-axis ticks (array or None) for each subplot. """ import matplotlib.pyplot as plt fig = plt.figure(fig_num) fig.clf() n_gr = len(info) n_col = min(5.0, nm.fix(nm.sqrt(n_gr))) if int(n_col) == 0: n_row = 0 else: n_row = int(nm.ceil(n_gr / n_col)) n_col = int(n_col) if xticks is None: xticks = [None] * n_gr if yticks is None: yticks = [None] * n_gr for ii, (xlabel, ylabel, yscale, names) in info.iteritems(): ax = fig.add_subplot(n_row, n_col, ii + 1) ax.set_yscale(yscale) if xlabel: ax.set_xlabel(xlabel) if ylabel: ax.set_ylabel(ylabel) for name in names: xs, ys, vlines = log[name] ax.plot(xs, ys, label=name) for x in vlines: ax.axvline(x, color='k', alpha=0.3) if xticks[ii] is not None: ax.set_xticks(xticks[ii]) else: ax.locator_params(axis='x', nbins=10) if yticks[ii] is not None: ax.set_yticks(yticks[ii]) ax.legend(loc='best') plt.tight_layout(pad=0.5) class Log(Struct): """ Log data and (optionally) plot them in the second process via LogPlotter. """ count = -1 @staticmethod def from_conf(conf, data_names): """ Parameters ---------- data_names : list of lists of str The data names grouped by subplots: [[name1, name2, ...], [name3, name4, ...], ...], where name are strings to display in (sub)plot legends. """ obj = Log(data_names, **conf) return obj def __init__(self, data_names=None, xlabels=None, ylabels=None, yscales=None, is_plot=True, aggregate=200, log_filename=None, formats=None): """ Parameters ---------- data_names : list of lists of str The data names grouped by subplots: [[name1, name2, ...], [name3, name4, ...], ...], where name are strings to display in (sub)plot legends. xlabels : list of str The x axis labels of subplots. ylabels : list of str The y axis labels of subplots. yscales : list of 'linear' or 'log' The y axis scales of subplots. is_plot : bool If True, try to use LogPlotter for plotting. aggregate : int The number of plotting commands to process before a redraw. log_filename : str, optional If given, save log data into a log file. formats : list of lists of number format strings The print formats of data to be used in a log file, group in the same way as subplots. """ try: import matplotlib as mpl except: mpl = None if (mpl is not None) and mpl.rcParams['backend'] == 'GTKAgg': can_live_plot = True else: can_live_plot = False Struct.__init__(self, data_names = {}, n_arg = 0, n_gr = 0, data = {}, x_values = {}, n_calls = 0, yscales = {}, xlabels = {}, ylabels = {}, plot_pipe = None, formats = {}, output = None) if data_names is not None: n_gr = len(data_names) else: n_gr = 0 data_names = [] yscales = get_default(yscales, ['linear'] * n_gr) xlabels = get_default(xlabels, ['iteration'] * n_gr) ylabels = get_default(ylabels, [''] * n_gr) if formats is None: formats = [None] * n_gr for ig, names in enumerate(data_names): self.add_group(names, yscales[ig], xlabels[ig], ylabels[ig], formats[ig]) self.is_plot = get_default(is_plot, True) self.aggregate = get_default(aggregate, 100) self.can_plot = (can_live_plot and (mpl is not None) and (Process is not None)) if log_filename is not None: self.output = Output('', filename=log_filename) self.output('# started: %s' % time.asctime()) self.output('# groups: %d' % n_gr) for ig, names in enumerate(data_names): self.output('# %d' % ig) self.output('# xlabel: "%s", ylabel: "%s", yscales: "%s"' % (xlabels[ig], ylabels[ig], yscales[ig])) self.output('# names: "%s"' % ', '.join(names)) if self.is_plot and (not self.can_plot): output(_msg_no_live) def add_group(self, names, yscale=None, xlabel=None, ylabel=None, formats=None): """ Add a new data group. Notify the plotting process if it is already running. """ ig = self.n_gr self.n_gr += 1 self.x_values[ig] = [] self.data_names[ig] = names self.yscales[ig] = yscale self.xlabels[ig] = xlabel self.ylabels[ig] = ylabel ii = self.n_arg for iseq, name in enumerate(names): key = name_to_key(name, ii) self.data[key] = [] ii += 1 if formats is not None: self.formats[key] = formats[iseq] else: self.formats[key] = '%.3e' self.n_arg = ii if self.plot_pipe is not None: send = self.plot_pipe.send send(['add_axis', ig, names, yscale, xlabel, ylabel]) def iter_names(self, igs=None): if igs is None: igs = nm.arange(self.n_gr) ii = iseq = 0 for ig, names in ordered_iteritems(self.data_names): for name in names: if ig in igs: yield ig, ii, iseq, name iseq += 1 ii += 1 def get_log_name(self): return os.path.join(sfepy_config_dir, 'plotter_%03d.log' % self.__class__.count) def __call__(self, *args, **kwargs): """ Log the data passed via *args, and send them to the plotting process, if available. """ finished = False save_figure = '' x_values = None igs = nm.arange(self.n_gr) full = True if kwargs: if 'finished' in kwargs: finished = kwargs['finished'] if 'save_figure' in kwargs: save_figure = kwargs['save_figure'] if 'x' in kwargs: x_values = kwargs['x'] if 'igs' in kwargs: igs = nm.array(kwargs['igs']) full = False if save_figure and (self.plot_pipe is not None): self.plot_pipe.send(['save', save_figure]) self.plot_pipe.recv() if finished: self.terminate() return ls = len(args), self.n_arg if full and (ls[0] != ls[1]): if kwargs: return else: msg = 'log called with wrong number of arguments! (%d == %d)' \ % ls raise IndexError(msg) for ig in igs: if (x_values is not None) and (x_values[ig] is not None): self.x_values[ig].append(x_values[ig]) else: if len(self.x_values[ig]): ii = self.x_values[ig][-1] + 1 else: ii = 0 self.x_values[ig].append(ii) for ig, ii, iseq, name in self.iter_names(igs): aux = args[iseq] if isinstance(aux, nm.ndarray): aux = nm.array(aux, ndmin = 1) if len(aux) == 1: aux = aux[0] else: raise ValueError, 'can log only scalars (%s)' % aux key = name_to_key(name, ii) self.data[key].append(aux) if self.output: self.output(('%%s: %%s: %s' % self.formats[key]) % (name, self.x_values[ig][-1], aux)) if self.is_plot and self.can_plot: if self.n_calls == 0: atexit.register(self.terminate) self.__class__.count += 1 self.plot_pipe, plotter_pipe = Pipe() self.plotter = LogPlotter(self.aggregate) self.plot_process = Process(target=self.plotter, args=(plotter_pipe, self.get_log_name(), self.data_names, self.yscales, self.xlabels, self.ylabels)) self.plot_process.daemon = True self.plot_process.start() self.plot_data(igs) self.n_calls += 1 def terminate(self): if self.output is not None: self.output('# ended: %s' % time.asctime()) self.output = None if self.is_plot and self.can_plot: self.plot_pipe.send(None) self.plot_process.join() self.n_calls = 0 output('terminated') def plot_data(self, igs): send = self.plot_pipe.send ii = 0 for ig, names in ordered_iteritems(self.data_names): if ig in igs: send(['ig', ig]) send(['clear']) for name in names: key = name_to_key(name, ii) try: send(['plot', nm.array(self.x_values[ig]), nm.array(self.data[key])]) except: msg = "send failed! (%s, %s, %s)!" \ % (ii, name, self.data[key]) raise IOError(msg) ii += 1 else: ii += len(names) send(['legends']) send(['continue']) def plot_vlines(self, igs=None, **kwargs): """ Plot vertical lines in axes given by igs at current x locations to mark some events. """ if igs is None: igs = range(self.n_gr) if self.plot_pipe is not None: send = self.plot_pipe.send for ig in igs: x = self.x_values[ig] if len(x): send(['ig', ig]) send(['vline', x[-1], kwargs]) send(['continue']) if self.output: for ig in igs: for name in self.data_names[ig]: self.output(name + ': -----') sfepy-release_2015.1/sfepy/base/log_plotter.py000066400000000000000000000114471247364230400214100ustar00rootroot00000000000000""" Plotting class to be used by Log. """ import numpy as nm from sfepy.base.base import Output, Struct class LogPlotter(Struct): """ LogPlotter to be used by :class:`sfepy.base.log.Log`. """ output = Output('plotter:') output = staticmethod(output) def __init__(self, aggregate=100): Struct.__init__(self, aggregate=aggregate) def process_command(self, command): from matplotlib.ticker import LogLocator, AutoLocator self.output(command[0]) if command[0] == 'ig': self.ig = command[1] elif command[0] == 'plot': xdata, ydata = command[1:] ig = self.ig ax = self.ax[ig] ax.set_yscale(self.yscales[ig]) ax.yaxis.grid(True) ax.plot(xdata, ydata) if self.yscales[ig] == 'log': ymajor_formatter = ax.yaxis.get_major_formatter() ymajor_formatter.label_minor(True) yminor_locator = LogLocator() else: yminor_locator = AutoLocator() self.ax[ig].yaxis.set_minor_locator(yminor_locator) elif command[0] == 'vline': x, kwargs = command[1:] self.vlines[self.ig].append((x, kwargs)) elif command[0] == 'clear': self.ax[self.ig].cla() elif command[0] == 'legends': for ig, ax in enumerate(self.ax): try: ax.legend(self.data_names[ig]) except: pass if self.xlabels[ig]: ax.set_xlabel(self.xlabels[ig]) if self.ylabels[ig]: ax.set_ylabel(self.ylabels[ig]) for x, kwargs in self.vlines[ig]: ax.axvline(x, **kwargs) self.plt.tight_layout(pad=0.5) elif command[0] == 'add_axis': ig, names, yscale, xlabel, ylabel = command[1:] self.data_names[ig] = names self.yscales[ig] = yscale self.xlabels[ig] = xlabel self.ylabels[ig] = ylabel self.n_gr = len(self.data_names) self.make_axes() elif command[0] == 'save': self.fig.savefig(command[1]) self.pipe.send(True) # Acknowledge save. def terminate(self): if self.ii: self.output('processed %d commands' % self.ii) self.output('ended.') self.plt.close('all') def poll_draw(self): def call_back(): self.ii = 0 while 1: if not self.pipe.poll(): break command = self.pipe.recv() can_break = False if command is None: self.terminate() return False elif command[0] == 'continue': can_break = True else: self.process_command(command) if (self.ii >= self.aggregate) and can_break: break self.ii += 1 if self.ii: self.fig.canvas.draw() self.output('processed %d commands' % self.ii) return True return call_back def make_axes(self): from sfepy.linalg import cycle self.fig.clf() self.ax = [] n_col = min(5.0, nm.fix(nm.sqrt(self.n_gr))) if int(n_col) == 0: n_row = 0 else: n_row = int(nm.ceil(self.n_gr / n_col)) n_col = int(n_col) for ii, (ir, ic) in enumerate(cycle((n_col, n_row))): if ii == self.n_gr: break self.ax.append(self.fig.add_subplot(n_row, n_col, ii + 1)) self.vlines.setdefault(ii, []) def __call__(self, pipe, log_file, data_names, yscales, xlabels, ylabels): """ Sets-up the plotting window, sets GTK event loop timer callback to callback() returned by self.poll_draw(). The callback does the actual plotting, taking commands out of `pipe`, and is called every second. Note that pyplot _must_ be imported here and not in this module so that the import occurs _after_ the plotting process is started in that process. """ import matplotlib.pyplot as plt import gobject self.plt = plt self.output.set_output(filename=log_file) self.output('starting plotter...') self.pipe = pipe self.data_names = data_names self.yscales = yscales self.xlabels = xlabels self.ylabels = ylabels self.n_gr = len(data_names) self.vlines = {} self.fig = self.plt.figure() self.make_axes() self.gid = gobject.timeout_add(1000, self.poll_draw()) self.output('...done') self.plt.show() sfepy-release_2015.1/sfepy/base/mem_usage.py000066400000000000000000000111721247364230400210130ustar00rootroot00000000000000""" Memory usage functions. """ import sys import collections import numpy as nm import scipy.sparse as sp from sfepy.base.base import basestr, Struct, Output def get_mem_usage(obj, usage=None, name=None, traversal_order=None, level=0): """ Get lower bound of memory usage of an object. Takes into account strings, numpy arrays and scipy CSR sparse matrices, descends into sequences, mappings and objects. Parameters ---------- obj : any object The object to be measured. usage : dict The dict with memory usage records, serving also as a cache of already traversed objects. name : str The name to be given to the object in its record. traversal_order : list, internal The traversal order of the object. level : int, internal The recurrence level. Returns ------- usage : int The object's lower bound of memory usage. """ if usage is None: usage = {} if name is None: name = getattr(obj, 'name', '-') if traversal_order is None: traversal_order = [0] to = traversal_order key = id(obj) if key in usage: usage[key].nrefs += 1 return 0 else: record = usage.setdefault(key, Struct(name=name, kind=type(obj).__name__, usage=0, nrefs=1, traversal_order=to[0], level=level)) level += 1 if isinstance(obj, nm.ndarray): record.usage = obj.nbytes elif isinstance(obj, sp.csr_matrix): record.usage = (get_mem_usage(obj.data, usage, name='data', traversal_order=to, level=level) + get_mem_usage(obj.indices, usage, name='indices', traversal_order=to, level=level) + get_mem_usage(obj.indptr, usage, name='indptr', traversal_order=to, level=level)) elif isinstance(obj, basestr): record.usage = len(obj) elif isinstance(obj, Struct): for subname, sub in obj.__dict__.iteritems(): to[0] += 1 record.usage += get_mem_usage(sub, usage, name='attribute %s of %s' % (subname, getattr(obj, 'name', record.kind)), traversal_order=to, level=level) elif isinstance(obj, collections.Mapping): try: for subname, sub in obj.iteritems(): to[0] += 1 record.usage += get_mem_usage(sub, usage, name='item %s of %s' % (subname, record.kind), traversal_order=to, level=level) except: pass elif isinstance(obj, collections.Sequence): for ii, sub in enumerate(obj): to[0] += 1 record.usage += get_mem_usage(sub, usage, name='item %d of %s' % (ii, record.kind), traversal_order=to, level=level) else: record.usage = sys.getsizeof(obj) return record.usage def print_mem_usage(usage, order_by='usage', direction='up', print_key=False): """ Print memory usage dictionary. Parameters ---------- usage : dict The dict with memory usage records. order_by : 'usage', 'name', 'kind', 'nrefs', 'traversal_order', or 'level' The sorting field name. direction : 'up' or 'down' The sorting direction. print_key : bool If True, print also the record key (object's id). """ keys = usage.keys() order_vals = nm.array([record.get(order_by) for record in usage.itervalues()]) order = nm.argsort(order_vals) if direction == 'down': order = order[::-1] output = Output('') fmt = '%9s, %s, %s, %d %d %d' + ', %d' * print_key for ii in order: key = keys[ii] record = usage[key] if print_key: output(fmt % (record.usage, record.name, record.kind, record.nrefs, record.traversal_order, record.level, key)) else: output(fmt % (record.usage, record.name, record.kind, record.nrefs, record.traversal_order, record.level)) sfepy-release_2015.1/sfepy/base/parse_conf.py000066400000000000000000000115071247364230400211720ustar00rootroot00000000000000""" Create pyparsing grammar for problem configuration and options. """ from pyparsing import (Word, Group, Suppress, Combine, Optional, Forward, Empty, quotedString, oneOf, removeQuotes, delimitedList, nums, alphas, alphanums, Keyword) word_free = Word(alphas + '][@_-/.+**' + alphanums) word_strict = Word(alphas, alphas + alphanums + '_' ) (lparen, rparen, lbrack, rbrack, lbrace, rbrace, colon, equal_sign) = map(Suppress, '()[]{}:=') integer = Combine(Optional(oneOf('+ -')) + Word(nums)).setName('integer') cvt_int = lambda toks: int(toks[0]) integer.setParseAction(cvt_int) boolean_true = Keyword('True', caseless=True) boolean_true.setParseAction(lambda x: True) boolean_false = Keyword('False', caseless=True) boolean_false.setParseAction(lambda x: False) boolean = boolean_true | boolean_false none = Keyword('None', caseless=True) cvt_none = lambda toks: [None] none.setParseAction(cvt_none) real = Combine(Optional(oneOf('+ -')) + Word(nums) + '.' + Optional(Word(nums)) + Optional('e' + Optional(oneOf('+ -')) + Word(nums))).setName('real') cvt_real = lambda toks: float(toks[0]) real.setParseAction(cvt_real) array_index = integer + Optional(colon + integer + Optional(colon + integer)) cvt_array_index = lambda toks: int(toks[0]) if len(toks) == 1 \ else slice(*toks) array_index.setParseAction(cvt_array_index) array_braces = lbrack + array_index + rbrack def create_bnf(allow_tuple=False, free_word=False): word = word_free if free_word else word_strict defs = get_standard_type_defs(word) if allow_tuple: return defs['dict'].inner | defs['tuple'].inner else: return defs['dict'].inner def list_of(element, *elements): """ Return lexical element that parses a list of items. The items can be a one or several lexical elements. For example, result of ``list_of(real, integer)`` parses list of real or integer numbers. """ for e in elements: element |= e lst = delimitedList(element) return lst + Optional(Suppress(',')) def get_standard_type_defs(word=word_free): """ Return dict of the pyparsing base lexical elements. The compound types (tuple, list, dict) can contain compound types or simple types such as integers, floats and words. Parameters ---------- word : lexical element A custom lexical element for word. Returns ------- defs : dict The dictionary with the following items: - tuple: (..., ..., ...) - list: [..., ...., ...] - dict: {...:..., ...:..., ....} or {...=..., ...=..., ....} - list_item: any of preceding compound types or simple types """ tuple_str = Forward() list_str = Forward() dict_str = Forward() cvt_tuple = lambda toks : tuple(toks.asList()) cvt_dict = lambda toks: dict(toks.asList()) list_item = (none | boolean | real | integer | list_str | tuple_str | dict_str | quotedString.setParseAction(removeQuotes) | word) list_item2 = list_item | Empty().setParseAction(lambda: [None]) tuple_str.inner = list_of(list_item) tuple_str.inner.setParseAction(cvt_tuple) tuple_str << (lparen + tuple_str.inner + rparen) list_str.inner = tuple_str.inner.copy() list_str.inner.setParseAction(lambda toks: list(toks)) list_str << (lbrack + list_str.inner + rbrack) dict_entry = Group(list_item + (colon | equal_sign) + list_item2) dict_str.inner = list_of(dict_entry) dict_str.inner.setParseAction(cvt_dict) dict_str << (lbrace + Optional(dict_str.inner) + rbrace) defs = {'tuple' : tuple_str, 'list' : list_str, 'dict' : dict_str, 'list_item' : list_item} return defs def list_dict(word=word_free): """ Return the pyparsing lexical element, that parses a string either as a list or as a dictionary. Parameters ---------- word : lexical element A custom lexical element for word. Returns ------- ld : lexical element The returned lexical element parses a string in the form ``..., ..., ...`` or ``key1:..., key2=..., key3: ...`` where ``...`` is a ``list_item`` from :func:`get_standard_type_defs()` and interprets it as a list or a dictionary. """ defs = get_standard_type_defs(word) i = defs['list_item'] arg = i.copy() arg.setParseAction(lambda t: (t[0],)) narg = word_strict + (colon | equal_sign) + i narg.setParseAction(lambda t: (t[0], t[1])) ld = Group(list_of(narg | arg)) ld.setParseAction(lambda t: ([x[0] for x in t[0] if len(x) == 1], dict([x for x in t[0] if len(x) > 1])) ) return ld sfepy-release_2015.1/sfepy/base/plotutils.py000066400000000000000000000111371247364230400211110ustar00rootroot00000000000000import numpy as nm try: import matplotlib.pyplot as plt import matplotlib as mpl except (ImportError, RuntimeError): plt = mpl = None #print 'matplotlib import failed!' from sfepy.base.base import output, pause def spy(mtx, eps=None, color='b', **kwargs): """ Show sparsity structure of a `scipy.sparse` matrix. """ aux = mtx.tocoo() ij, val = nm.concatenate((aux.row[:,nm.newaxis], aux.col[:,nm.newaxis]), 1), aux.data n_item = aux.getnnz() n_row, n_col = aux.shape if eps is not None: output('using eps =', eps) ij = nm.compress(nm.absolute(val) > eps, ij, 0) n_item = ij.shape[0] else: output('showing all') output('n_item:', n_item) if n_item: args = {'marker' : '.', 'markersize' : 0.5, 'markeredgewidth' : 0.5} args.update(kwargs) plt.plot(ij[:,1] + 0.5, ij[:,0] + 0.5, color, linestyle='None', **args) plt.axis([-0.5, n_row+0.5, -0.5, n_col+0.5]) plt.axis('image') plt.xlabel(r'%d x %d: %d nnz, %.2f%% fill' % (n_row, n_col, n_item, 100. * n_item / (float(n_row) * float(n_col)))) ax = plt.gca() ax.set_ylim(ax.get_ylim()[::-1]) def spy_and_show(mtx, **kwargs): spy(mtx, **kwargs) plt.show() ## # 13.12.2005, c def print_matrix_diff( title, legend, mtx1, mtx2, mtx_da, mtx_dr, iis ): import copy print '%s: ir, ic, %s, %s, adiff, rdiff' % ((title,) + tuple( legend )) aux = copy.copy(mtx_da) aux.data = nm.ones(mtx_da.data.shape[0]) irs, ics = aux.nonzero() for ii in iis: ir, ic = irs[ii], ics[ii] print '%5d %5d %11.4e %11.4e %9.2e %9.2e'\ % (ir, ic, mtx1[ir,ic], mtx2[ir,ic], mtx_da[ir,ic], mtx_dr[ir,ic] ) print 'total: %d' % len( iis ) ## # 13.12.2005, c # 14.12.2005 # 15.12.2005 # 18.07.2007 def plot_matrix_diff( mtx1, mtx2, delta, legend, mode ): eps = 1e-16 print nm.amin( mtx1.data ), nm.amin( mtx2.data ) print nm.amax( mtx1.data ), nm.amax( mtx2.data ) mtx_da = mtx1.copy() # To preserve structure of mtx1. mtx_da.data[:] = nm.abs( mtx1.data - mtx2.data ) mtx_dr = mtx_da.copy() mtx_dr.data[:] = -1 iin = nm.where( nm.abs( mtx1.data ) > eps )[0] mtx_dr.data[iin] = mtx_da.data[iin] / nm.abs( mtx1.data[iin] ) print nm.amin( mtx_da.data ), nm.amax( mtx_da.data ) print nm.amin( mtx_dr.data ), nm.amax( mtx_dr.data ) epsilon = max( 1e-5, 10 * delta ) print 'epsilon:', epsilon pause() ija = nm.where( mtx_da.data > epsilon )[0] print_matrix_diff( '--- absolute diff', legend, mtx1, mtx2, mtx_da, mtx_dr, ija ) pause() iin = nm.where( nm.abs( mtx1.data ) > epsilon )[0] ij = nm.where( nm.abs( mtx_dr.data[iin] ) > epsilon )[0] ij = iin[ij] print_matrix_diff( '--- relative diff', legend, mtx1, mtx2, mtx_da, mtx_dr, ij ) pause() ijb = nm.intersect1d( ija, ij ) print_matrix_diff( '--- a-r', legend, mtx1, mtx2, mtx_da, mtx_dr, ijb ) pause() ii = nm.argsort( mtx_dr.data[ijb] ) n_s = min( 20, len( ii ) ) ijbs = ijb[ii[-1:-n_s-1:-1]] print_matrix_diff( '--- a-r 20 biggest (by r)', legend, mtx1, mtx2, mtx_da, mtx_dr, ijbs ) pause() if mode < 2: return h = 100 plt.figure( h ); plt.clf() plt.axes( [0.04, 0.6, 0.3, 0.3], frameon = True ) spy( mtx_da, epsilon ) plt.title( 'absolute diff' ) plt.axes( [0.68, 0.6, 0.3, 0.3], frameon = True ) iia = nm.where( mtx_dr.data )[0] mtx_dr.data[nm.setdiff1d( iia, iin )] = 0.0 spy( mtx_dr, epsilon ) plt.title( 'relative diff' ) plt.axes( [0.36, 0.6, 0.3, 0.3], frameon = True ) mtx = mtx_dr.copy() mtx.data[:] = 0.0 ii = nm.intersect1d( nm.where( mtx_dr.data > epsilon )[0], nm.where( mtx_da.data > epsilon )[0] ) mtx.data[ii] = 1.0 spy( mtx, epsilon ) plt.title( 'a-r intersection' ) plt.axes( [0.04, 0.08, 0.42, 0.42], frameon = True ) spy( mtx1, epsilon ) plt.title( legend[0] ) plt.axes( [0.54, 0.08, 0.42, 0.42], frameon = True ) spy( mtx2, epsilon ) plt.title( legend[1] ) plt.show() ## # 02.05.2006, c def set_axes_font_size( ax, size ): labels = ax.get_xticklabels() + ax.get_yticklabels() for label in labels: label.set_size( size ) ## # 27.09.2006, c def font_size( size ): return mpl.font_manager.FontProperties( size = size ) ## # 28.08.2007, c def iplot( *args, **kwargs ): plt.ion() plt.plot( *args, **kwargs ) plt.draw() plt.ioff() pause() sfepy-release_2015.1/sfepy/base/reader.py000066400000000000000000000020161247364230400203100ustar00rootroot00000000000000from base import Struct import os.path as op ## # 16.06.2005, c class Reader( Struct ): """ Reads and executes a Python file as a script with execfile(), storing its locals. Then sets the __dict__ of a new instance of obj_class to the stored locals. Example: >>> class A: >>> pass >>> read = Reader( '.' ) >>> instance_of_a = read( A, 'file.py' ) It is equivalent to: >>> mod = __import__( 'file' ) >>> instance_of_a = A() >>> instance_of_a.__dict__.update( mod.__dict__ ) The first way does not create the 'file.pyc'... """ ## # 16.06.2005, c def __init__( self, directory ): self.directory = directory ## # 16.06.2005, c # 17.10.2005 # 09.02.2006 def __call__( self, obj_class, name ): filename = op.join( self.directory, name + '.py' ) aux = {} execfile( filename, {}, aux ) obj = obj_class() for key, val in aux.iteritems(): obj.__dict__[key] = val return obj sfepy-release_2015.1/sfepy/base/resolve_deps.py000066400000000000000000000042241247364230400215430ustar00rootroot00000000000000""" Functions for resolving dependencies. """ import itertools as it from sfepy.base.base import basestr def get_nums(deps): """ Get number of prerequisite names for each name in dependencies. """ nums = {} for key, val in deps.iteritems(): nums[key] = len(val) return nums def solvable(deps, names): """ Return True if `names` form a solvable block, i.e. the set of names equals to the set of their prerequisites. """ if not names: return False # Missing self-reference. dep_names = set() for name in names: dep_names.update(deps[name]) return dep_names == set(names) def remove_known(deps, known): """ Remove known names from dependencies. """ if isinstance(known, basestr): out = {} for key, val in deps.iteritems(): if key == known: continue out[key] = [ii for ii in val if ii != known] return out else: out = deps for ii in known: out = remove_known(out, ii) return out def try_block(deps, num): """ Return generator of lists of solvable blocks of the length `num`. """ keys = deps.keys() for ic in it.combinations(keys, num): if solvable(deps, ic): yield sorted(ic) def resolve(deps): """ Resolve dependencies among equations so that smaller blocks are solved first. The dependencies are given in terms of variable names. Parameters ---------- deps : dict The dependencies as a dictionary with names as keys and sets of prerequisite names as values. Returns ------- order : list The list of blocks in the order of solving. Each block is a list of names. """ order = [] if not(len(deps)): return order nums = get_nums(deps) ib0 = min(nums.values()) for ib in range(ib0, len(deps) + 1): blocks = [ii for ii in try_block(deps, ib)] if len(blocks): new_deps = remove_known(deps, blocks[0]) order.extend([blocks[0]] + resolve(new_deps)) if len(list(it.chain(*order))) == len(deps): break return order sfepy-release_2015.1/sfepy/base/setup.py000066400000000000000000000006771247364230400202210ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/base/testing.py000066400000000000000000000053731247364230400205340ustar00rootroot00000000000000import inspect import numpy as nm import numpy.linalg as nla from sfepy.base.base import Struct class TestCommon(Struct): @staticmethod def xfail(test_method): """ Decorator that allows a test to fail. """ def wrapper(self): try: ret = test_method(self) except: if self.debug: raise ret = False if not ret: print '--- test expected to fail.' ret = True return ret return wrapper def get_number(self): methods = inspect.getmembers(self, inspect.ismethod) tests = [ii for ii in methods if (len(ii[0]) > 5) and ii[0][:5] == 'test_'] return len(tests) def run(self, debug=False): self.debug = debug ok = True n_fail = 0 methods = inspect.getmembers(self, inspect.ismethod) if hasattr(self, 'tests'): dmethods = {} for key, method in methods: dmethods[key] = method tests = [(ii, dmethods[ii]) for ii in self.tests] print tests else: tests = [ii for ii in methods if (len(ii[0]) > 5) and ii[0][:5] == 'test_'] for test_name, test_method in tests: aux = ' %s: ' % test_name try: ret = test_method() except: if debug: raise ret = False if not ret: aux = '---' + aux + 'failed!' n_fail += 1 ok = False else: aux = '+++' + aux + 'ok' print aux return ok, n_fail, len(tests) @staticmethod def report(*argc): """All tests should print via this function.""" format = '...' + ' %s' * len(argc) msg = format % argc print msg @staticmethod def eval_coor_expression(expression, coor): x = coor[:, 0] y = coor[:, 1] if coor.shape[1] == 3: z = coor[:, 2] else: z = None env = {'x' : x, 'y' : y, 'z' : z} out = eval(expression, nm.__dict__, env) if isinstance(out, float): aux = nm.empty(coor.shape[0], dtype=nm.float64) aux.fill(out) out = aux return out @staticmethod def compare_vectors(vec1, vec2, allowed_error=1e-8, label1='vec1', label2='vec2', norm=None): diff_norm = nla.norm(vec1 - vec2, ord=norm) TestCommon.report('||%s - %s||: %e' % (label1, label2, diff_norm)) if diff_norm > allowed_error: return False else: return True sfepy-release_2015.1/sfepy/config.py000066400000000000000000000054771247364230400174170ustar00rootroot00000000000000import sys import os import shutil msg_unknown_os = """could not determine operating system! try setting it in site_cfg.py manually, see site_cfg_template.py""" msg_numpydoc = """could not find numpydoc! If it is installed in a non-standard location, try setting it in site_cfg.py manually.""" if not os.path.exists('site_cfg.py'): try: shutil.copyfile('site_cfg_template.py', 'site_cfg.py') except: pass try: import site_cfg except ImportError: site_cfg = None has_attr = lambda obj, attr: obj and hasattr(obj, attr) class Config(object): def python_version(self): if has_attr(site_cfg, 'python_version'): if site_cfg.python_version == 'auto': return "%d.%d" % tuple(sys.version_info[:2]) else: return site_cfg.python_version else: return "%d.%d" % tuple(sys.version_info[:2]) def python_include(self): if (has_attr(site_cfg, 'python_include') and (site_cfg.python_include != 'auto')): return site_cfg.python_include else: system = self.system() if system == 'posix': version = self.python_version() return os.path.join(sys.prefix, 'include', 'python' + version) else: return os.path.join(sys.prefix, 'include') def system(self): if has_attr(site_cfg, 'system') and site_cfg.system is not None: return site_cfg.system else: if os.name in ['posix']: return 'posix' elif os.name in ['nt']: return 'windows' else: raise ValueError(msg_unknown_os) def compile_flags(self): if has_attr(site_cfg, 'compile_flags'): flags = site_cfg.compile_flags else: flags = '-g -O2' return flags.split() def link_flags(self): if has_attr(site_cfg, 'link_flags'): flags = site_cfg.link_flags else: flags = '' return flags.split() def debug_flags(self): if has_attr(site_cfg, 'debug_flags'): return site_cfg.debug_flags else: return '' def numpydoc_path(self): if (has_attr(site_cfg, 'numpydoc_path') and (site_cfg.numpydoc_path is not None)): return site_cfg.numpydoc_path else: try: import numpydoc except ImportError: raise ValueError(msg_numpydoc) def is_release(self): if has_attr(site_cfg, 'is_release'): return site_cfg.is_release else: return '' def tetgen_path(self): if has_attr(site_cfg, 'tetgen_path'): return site_cfg.tetgen_path else: return '/usr/bin/tetgen' sfepy-release_2015.1/sfepy/discrete/000077500000000000000000000000001247364230400173655ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/__init__.py000066400000000000000000000010471247364230400215000ustar00rootroot00000000000000# FEM stuff to move/split to common. from sfepy.discrete.common.domain import Domain from sfepy.discrete.common.region import Region from sfepy.discrete.common.fields import Field from functions import Functions, Function from conditions import Conditions from variables import Variables, Variable, FieldVariable, create_adof_conns from materials import Materials, Material from equations import Equations, Equation from integrals import Integrals, Integral from state import State from problem import Problem from evaluate import assemble_by_blocks sfepy-release_2015.1/sfepy/discrete/common/000077500000000000000000000000001247364230400206555ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/common/__init__.py000066400000000000000000000000001247364230400227540ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/common/dof_info.py000066400000000000000000000356511247364230400230240ustar00rootroot00000000000000""" Classes holding information on global DOFs and mapping of all DOFs - equations (active DOFs). Helper functions for the equation mapping. """ import numpy as nm import scipy.sparse as sp from sfepy.base.base import assert_, Struct, basestr from sfepy.discrete.functions import Function from sfepy.discrete.conditions import get_condition_value, EssentialBC def expand_nodes_to_dofs(nods, n_dof_per_node): """ Expand DOF node indices into DOFs given a constant number of DOFs per node. """ dofs = nm.repeat(nods, n_dof_per_node) dofs.shape = (nods.shape[0], n_dof_per_node) idof = nm.arange(n_dof_per_node, dtype=nm.int32) dofs = n_dof_per_node * dofs + idof return dofs def expand_nodes_to_equations(nods, dof_names, all_dof_names): """ Expand vector of node indices to equations (DOF indices) based on the DOF-per-node count. DOF names must be already canonized. """ dpn = len(all_dof_names) eq = nm.array([], dtype=nm.int32) for dof in dof_names: idof = all_dof_names.index(dof) eq = nm.concatenate((eq, dpn * nods + idof)) return eq def resolve_chains(master_slave, chains): """ Resolve EPBC chains - e.g. in corner nodes. """ for chain in chains: slave = chain[-1] master_slave[chain[:-1]] = slave + 1 master_slave[slave] = - chain[0] - 1 # Any of masters... def group_chains(chain_list): """ Group EPBC chains. """ chains = [] while len(chain_list): chain = set(chain_list.pop(0)) ## print ':', chain ii = 0 while ii < len(chain_list): c1 = sorted(chain_list[ii]) ## print '--', ii, c1, chain is0 = c1[0] in chain is1 = c1[1] in chain if is0 and is1: chain_list.pop(ii) elif is0 or is1: chain.update(c1) chain_list.pop(ii) ii = 0 else: ii += 1 ## print ii, chain, chain_list ## print '->', chain ## print chain_list chains.append(list(chain)) ## print 'EPBC chain groups:', chains aux = {} for chain in chains: aux.setdefault(len(chain), [0])[0] += 1 ## print 'EPBC chain counts:', aux return chains class DofInfo(Struct): """ Global DOF information, i.e. ordering of DOFs of the state (unknown) variables in the global state vector. """ def __init__(self, name): Struct.__init__(self, name=name) self.n_var = 0 self.var_names = [] self.n_dof = {} self.ptr = [0] self.indx = {} self.details = {} def _update_after_append(self, name): self.ptr.append(self.ptr[-1] + self.n_dof[name]) ii = self.n_var self.indx[name] = slice(int(self.ptr[ii]), int(self.ptr[ii+1])) self.n_var += 1 def append_variable(self, var, active=False): """ Append DOFs of the given variable. Parameters ---------- var : Variable instance The variable to append. active : bool, optional When True, only active (non-constrained) DOFs are considered. """ name = var.name if name in self.var_names: raise ValueError('variable %s already present!' % name) self.var_names.append(name) self.n_dof[name], self.details[name] = var.get_dof_info(active=active) self._update_after_append(name) def append_raw(self, name, n_dof): """ Append raw DOFs. Parameters ---------- name : str The name of variable the DOFs correspond to. n_dof : int The number of DOFs. """ if name in self.var_names: raise ValueError('variable %s already present!' % name) self.var_names.append(name) self.n_dof[name], self.details[name] = n_dof, None self._update_after_append(name) def update(self, name, n_dof): """ Set the number of DOFs of the given variable. Parameters ---------- name : str The name of variable the DOFs correspond to. n_dof : int The number of DOFs. """ if not name in self.var_names: raise ValueError('variable %s is not present!' % name) ii = self.var_names.index(name) delta = n_dof - self.n_dof[name] self.n_dof[name] = n_dof for iv, nn in enumerate(self.var_names[ii:]): self.ptr[ii+iv+1] += delta self.indx[nn] = slice(self.ptr[ii+iv], self.ptr[ii+iv+1]) def get_info(self, var_name): """ Return information on DOFs of the given variable. Parameters ---------- var_name : str The name of the variable. """ return Struct(name='%s_dof_info' % var_name, var_name=var_name, n_dof=self.n_dof[var_name], indx=self.indx[var_name], details=self.details[var_name]) def get_subset_info(self, var_names): """ Return global DOF information for selected variables only. Silently ignores non-existing variable names. Parameters ---------- var_names : list The names of the selected variables. """ di = DofInfo(self.name + ':subset') for var_name in var_names: if var_name not in self.var_names: continue di.append_raw(var_name, self.n_dof[var_name]) return di def get_n_dof_total(self): """ Return the total number of DOFs of all state variables. """ return self.ptr[-1] def is_active_bc(bc, ts=None, functions=None): """ Check whether the given boundary condition is active in the current time. Returns ------- active : bool True if the condition `bc` is active. """ if (bc.times is None) or (ts is None): active = True elif isinstance(bc.times, list): for tt in bc.times: if tt[0] <= ts.time < tt[1]: active = True break else: active = False else: if isinstance(bc.times, basestr): if functions is not None: fun = functions[bc.times] else: raise ValueError('no functions given for bc %s!' % bc.name) elif isinstance(bc.times, Function): fun = bc.times else: raise ValueError('unknown times type! (%s)' % type(bc.times)) active = fun(ts) return active class EquationMap(Struct): """ Map all DOFs to equations for active DOFs. """ def __init__(self, name, dof_names, var_di): Struct.__init__(self, name=name, dof_names=dof_names, var_di=var_di) self.dpn = len(self.dof_names) self.eq = nm.arange(var_di.n_dof, dtype=nm.int32) def _init_empty(self): self.eqi = nm.arange(self.var_di.n_dof, dtype=nm.int32) self.eq_ebc = nm.empty((0,), dtype=nm.int32) self.master = nm.empty((0,), dtype=nm.int32) self.slave = nm.empty((0,), dtype=nm.int32) self.n_eq = self.eqi.shape[0] self.n_ebc = self.eq_ebc.shape[0] self.n_epbc = self.master.shape[0] def map_equations(self, bcs, field, ts, functions, problem=None, warn=False): """ Create the mapping of active DOFs from/to all DOFs. Parameters ---------- bcs : Conditions instance The Dirichlet or periodic boundary conditions (single condition instances). The dof names in the conditions must already be canonized. field : Field instance The field of the variable holding the DOFs. ts : TimeStepper instance The time stepper. functions : Functions instance The registered functions. problem : Problem instance, optional The problem that can be passed to user functions as a context. warn : bool, optional If True, warn about BC on non-existent nodes. Returns ------- active_bcs : set The set of boundary conditions active in the current time. Notes ----- - Periodic bc: master and slave DOFs must belong to the same field (variables can differ, though). """ if bcs is None: self.val_ebc = nm.empty((0,), dtype=field.dtype) self._init_empty() return set() eq_ebc = nm.zeros((self.var_di.n_dof,), dtype=nm.int32) val_ebc = nm.zeros((self.var_di.n_dof,), dtype=field.dtype) master_slave = nm.zeros((self.var_di.n_dof,), dtype=nm.int32) chains = [] active_bcs = set() for bc in bcs: # Skip conditions that are not active in the current time. if not is_active_bc(bc, ts=ts, functions=functions): continue active_bcs.add(bc.key) if isinstance(bc, EssentialBC): ntype = 'EBC' region = bc.region else: ntype = 'EPBC' region = bc.regions[0] if warn: clean_msg = ('warning: ignoring nonexistent %s node (%s) in ' % (ntype, self.var_di.var_name)) else: clean_msg = None # Get master region nodes. master_nod_list = field.get_dofs_in_region(region, clean=True, warn=clean_msg) if len(master_nod_list) == 0: continue if ntype == 'EBC': # EBC. dofs, val = bc.dofs ## # Evaluate EBC values. fun = get_condition_value(val, functions, 'EBC', bc.name) if isinstance(fun, Function): aux = fun fun = lambda coors: aux(ts, coors, bc=bc, problem=problem) nods, vv = field.set_dofs(fun, region, len(dofs), clean_msg) eq = expand_nodes_to_equations(nods, dofs, self.dof_names) # Duplicates removed here... eq_ebc[eq] = 1 if vv is not None: val_ebc[eq] = vv else: # EPBC. region = bc.regions[1] slave_nod_list = field.get_dofs_in_region(region, clean=True, warn=clean_msg) nmaster = nm.unique(nm.hstack(master_nod_list)) # Treat fields not covering the whole domain. if nmaster[0] == -1: nmaster = nmaster[1:] nslave = nm.unique(nm.hstack(slave_nod_list)) # Treat fields not covering the whole domain. if nslave[0] == -1: nslave = nslave[1:] ## print nmaster + 1 ## print nslave + 1 if nmaster.shape != nslave.shape: msg = 'EPBC list lengths do not match!\n(%s,\n %s)' %\ (nmaster, nslave) raise ValueError(msg) if (nmaster.shape[0] == 0) and (nslave.shape[0] == 0): continue mcoor = field.get_coor(nmaster) scoor = field.get_coor(nslave) fun = get_condition_value(bc.match, functions, 'EPBC', bc.name) if isinstance(fun, Function): i1, i2 = fun(mcoor, scoor) else: i1, i2 = fun ## print nm.c_[mcoor[i1], scoor[i2]] ## print nm.c_[nmaster[i1], nslave[i2]] + 1 meq = expand_nodes_to_equations(nmaster[i1], bc.dofs[0], self.dof_names) seq = expand_nodes_to_equations(nslave[i2], bc.dofs[1], self.dof_names) m_assigned = nm.where(master_slave[meq] != 0)[0] s_assigned = nm.where(master_slave[seq] != 0)[0] if m_assigned.size or s_assigned.size: # Chain EPBC. aux = master_slave[meq[m_assigned]] sgn = nm.sign(aux) om_chain = zip(meq[m_assigned], (aux - sgn) * sgn) chains.extend(om_chain) aux = master_slave[seq[s_assigned]] sgn = nm.sign(aux) os_chain = zip(seq[s_assigned], (aux - sgn) * sgn) chains.extend(os_chain) m_chain = zip(meq[m_assigned], seq[m_assigned]) chains.extend(m_chain) msd = nm.setdiff1d(s_assigned, m_assigned) s_chain = zip(meq[msd], seq[msd]) chains.extend(s_chain) msa = nm.union1d(m_assigned, s_assigned) ii = nm.setdiff1d(nm.arange(meq.size), msa) master_slave[meq[ii]] = seq[ii] + 1 master_slave[seq[ii]] = - meq[ii] - 1 else: master_slave[meq] = seq + 1 master_slave[seq] = - meq - 1 chains = group_chains(chains) resolve_chains(master_slave, chains) ii = nm.argwhere(eq_ebc == 1) self.eq_ebc = nm.atleast_1d(ii.squeeze()) self.val_ebc = nm.atleast_1d(val_ebc[ii].squeeze()) self.master = nm.argwhere(master_slave > 0).squeeze() self.slave = master_slave[self.master] - 1 assert_((self.eq_ebc.shape == self.val_ebc.shape)) self.eq[self.eq_ebc] = -2 self.eq[self.master] = -1 self.eqi = nm.compress(self.eq >= 0, self.eq) self.eq[self.eqi] = nm.arange(self.eqi.shape[0], dtype=nm.int32) self.eq[self.master] = self.eq[self.slave] self.n_eq = self.eqi.shape[0] self.n_ebc = self.eq_ebc.shape[0] self.n_epbc = self.master.shape[0] return active_bcs def get_operator(self): """ Get the matrix operator :math:`R` corresponding to the equation mapping, such that the restricted matrix :math:`A_r` can be obtained from the full matrix :math:`A` by :math:`A_r = R^T A R`. All the matrices are w.r.t. a single variables that uses this mapping. Returns ------- mtx : coo_matrix The matrix :math:`R`. """ # EBC. rows = self.eqi cols = nm.arange(self.n_eq, dtype=nm.int32) # EPBC. ic = self.eq[self.slave] ii = ic >= 0 rows = nm.r_[rows, self.master[ii]] cols = nm.r_[cols, ic[ii]] ones = nm.ones(rows.shape[0], dtype=nm.float64) mtx = sp.coo_matrix((ones, (rows, cols)), shape=(self.eq.shape[0], self.n_eq)) return mtx sfepy-release_2015.1/sfepy/discrete/common/domain.py000066400000000000000000000237411247364230400225050ustar00rootroot00000000000000import time import numpy as nm from sfepy.base.base import output, assert_, OneTypeList, Struct from sfepy.discrete.common.region import (Region, get_dependency_graph, sort_by_dependency, get_parents) from sfepy.discrete.parse_regions import create_bnf, visit_stack, ParseException def region_leaf(domain, regions, rdef, functions): """ Create/setup a region instance according to rdef. """ n_coor = domain.shape.n_nod dim = domain.shape.dim def _region_leaf(level, op): token, details = op['token'], op['orig'] if token != 'KW_Region': parse_def = token + '<' + ' '.join(details) + '>' region = Region('leaf', rdef, domain, parse_def=parse_def) if token == 'KW_Region': details = details[1][2:] aux = regions.find(details) if not aux: raise ValueError, 'region %s does not exist' % details else: if rdef[:4] == 'copy': region = aux.copy() else: region = aux elif token == 'KW_All': region.vertices = nm.arange(n_coor, dtype=nm.uint32) elif token == 'E_VIR': where = details[2] if where[0] == '[': vertices = nm.array(eval(where), dtype=nm.uint32) assert_(nm.amin(vertices) >= 0) assert_(nm.amax(vertices) < n_coor) else: coors = domain.cmesh.coors y = z = None x = coors[:,0] if dim > 1: y = coors[:,1] if dim > 2: z = coors[:,2] coor_dict = {'x' : x, 'y' : y, 'z': z} vertices = nm.where(eval(where, {}, coor_dict))[0] region.vertices = vertices elif token == 'E_VOS': facets = domain.cmesh.get_surface_facets() region.set_kind('facet') region.facets = facets elif token == 'E_VBF': where = details[2] coors = domain.cmesh.coors fun = functions[where] vertices = fun(coors, domain=domain) region.vertices = vertices elif token == 'E_CBF': where = details[2] coors = domain.get_centroids(dim) fun = functions[where] cells = fun(coors, domain=domain) region.cells = cells elif token == 'E_COG': group = int(details[3]) ig = domain.mat_ids_to_i_gs[group] region.cells = nm.where(domain.cmesh.cell_groups == ig)[0] elif token == 'E_COSET': raise NotImplementedError('element sets not implemented!') elif token == 'E_VOG': group = int(details[3]) vertices = nm.where(domain.mesh.ngroups == group)[0] region.vertices = vertices elif token == 'E_VOSET': try: vertices = domain.vertex_set_bcs[details[3]] except KeyError: msg = 'undefined vertex set! (%s)' % details[3] raise ValueError(msg) region.vertices = vertices elif token == 'E_OVIR': aux = regions[details[3][2:]] region.vertices = aux.vertices[0:1] elif token == 'E_VI': region.vertices = nm.array([int(ii) for ii in details[1:]], dtype=nm.uint32) elif token == 'E_CI1': region.cells = nm.array([int(ii) for ii in details[1:]], dtype=nm.uint32) elif token == 'E_CI2': num = len(details[1:]) / 2 cells = [] for ii in range(num): ig, iel = int(details[1+2*ii]), int(details[2+2*ii]) cells.append(iel + domain.mesh.el_offsets[ig]) region.cells = cells else: output('token "%s" unkown - check regions!' % token) raise NotImplementedError return region return _region_leaf def region_op(level, op_code, item1, item2): token = op_code['token'] op = {'S' : '-', 'A' : '+', 'I' : '*'}[token[3]] if token[-1] == 'V': return item1.eval_op_vertices(item2, op) elif token[-1] == 'E': return item1.eval_op_edges(item2, op) elif token[-1] == 'F': return item1.eval_op_faces(item2, op) elif token[-1] == 'S': return item1.eval_op_facets(item2, op) elif token[-1] == 'C': return item1.eval_op_cells(item2, op) else: raise ValueError('unknown region operator token! (%s)' % token) class Domain(Struct): def __init__(self, name, mesh=None, nurbs=None, bmesh=None, regions=None, verbose=False): Struct.__init__(self, name=name, mesh=mesh, nurbs=nurbs, bmesh=bmesh, regions=regions, verbose=verbose) def get_centroids(self, dim): """ Return the coordinates of centroids of mesh entities with dimension `dim`. """ return self.cmesh.get_centroids(dim) def has_faces(self): return self.shape.tdim == 3 def reset_regions(self): """ Reset the list of regions associated with the domain. """ self.regions = OneTypeList(Region) self._region_stack = [] self._bnf = create_bnf(self._region_stack) def create_region(self, name, select, kind='cell', parent=None, check_parents=True, functions=None, add_to_regions=True): """ Region factory constructor. Append the new region to self.regions list. """ if check_parents: parents = get_parents(select) for p in parents: if p not in [region.name for region in self.regions]: msg = 'parent region %s of %s not found!' % (p, name) raise ValueError(msg) stack = self._region_stack try: self._bnf.parseString(select) except ParseException: print 'parsing failed:', select raise region = visit_stack(stack, region_op, region_leaf(self, self.regions, select, functions)) region.name = name region.definition = select region.set_kind(kind) region.finalize() region.parent = parent region.update_shape() if add_to_regions: self.regions.append(region) return region def create_regions(self, region_defs, functions=None): output('creating regions...') tt = time.clock() self.reset_regions() ## # Sort region definitions by dependencies. graph, name_to_sort_name = get_dependency_graph(region_defs) sorted_regions = sort_by_dependency(graph) ## # Define regions. for name in sorted_regions: sort_name = name_to_sort_name[name] rdef = region_defs[sort_name] region = self.create_region(name, rdef.select, kind=rdef.get('kind', 'cell'), parent=rdef.get('parent', None), check_parents=False, functions=functions) output(' ', region.name) output('...done in %.2f s' % (time.clock() - tt)) return self.regions def save_regions(self, filename, region_names=None): """ Save regions as individual meshes. Parameters ---------- filename : str The output filename. region_names : list, optional If given, only the listed regions are saved. """ import os if region_names is None: region_names = self.regions.get_names() trunk, suffix = os.path.splitext(filename) output('saving regions...') for name in region_names: region = self.regions[name] output(name) aux = self.mesh.from_region(region, self.mesh) aux.write('%s_%s%s' % (trunk, region.name, suffix), io='auto') output('...done') def save_regions_as_groups(self, filename, region_names=None): """ Save regions in a single mesh but mark them by using different element/node group numbers. If regions overlap, the result is undetermined, with exception of the whole domain region, which is marked by group id 0. Region masks are also saved as scalar point data for output formats that support this. Parameters ---------- filename : str The output filename. region_names : list, optional If given, only the listed regions are saved. """ output('saving regions as groups...') aux = self.mesh.copy() n_ig = c_ig = 0 n_nod = self.shape.n_nod # The whole domain region should go first. names = (region_names if region_names is not None else self.regions.get_names()) for name in names: region = self.regions[name] if region.vertices.shape[0] == n_nod: names.remove(region.name) names = [region.name] + names break out = {} for name in names: region = self.regions[name] output(region.name) aux.ngroups[region.vertices] = n_ig n_ig += 1 mask = nm.zeros((n_nod, 1), dtype=nm.float64) mask[region.vertices] = 1.0 out[name] = Struct(name='region', mode='vertex', data=mask, var_name=name, dofs=None) if region.has_cells(): for ig in region.igs: ii = region.get_cells(ig) aux.mat_ids[ig][ii] = c_ig c_ig += 1 aux.write(filename, io='auto', out=out) output('...done') sfepy-release_2015.1/sfepy/discrete/common/fields.py000066400000000000000000000174021247364230400225010ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr def parse_approx_order(approx_order): """ Parse the uniform approximation order value (str or int). """ ao_msg = 'unsupported approximation order! (%s)' force_bubble = False discontinuous = False if approx_order is None: return 'iga', force_bubble, discontinuous elif isinstance(approx_order, basestr): if approx_order.startswith('iga'): return approx_order, force_bubble, discontinuous try: ao = int(approx_order) except ValueError: mode = approx_order[-1].lower() if mode == 'b': ao = int(approx_order[:-1]) force_bubble = True elif mode == 'd': ao = int(approx_order[:-1]) discontinuous = True else: raise ValueError(ao_msg % approx_order) if ao < 0: raise ValueError(ao_msg % approx_order) elif ao == 0: discontinuous = True return ao, force_bubble, discontinuous def parse_shape(shape, dim): if isinstance(shape, basestr): try: shape = {'scalar' : (1,), 'vector' : (dim,)}[shape] except KeyError: raise ValueError('unsupported field shape! (%s)', shape) elif isinstance(shape, int): shape = (shape,) return shape def setup_extra_data(conn_info): """ Setup extra data required for non-volume integration. """ for key, ii, info in iter_dict_of_lists(conn_info, return_keys=True): for var in info.all_vars: field = var.get_field() field.setup_extra_data(info.ps_tg, info, info.is_trace) def fields_from_conf(conf, regions): fields = {} for key, val in conf.iteritems(): field = Field.from_conf(val, regions) fields[field.name] = field return fields class Field(Struct): """ Base class for fields. """ _all = None @staticmethod def from_args(name, dtype, shape, region, approx_order=1, space='H1', poly_space_base='lagrange'): """ Create a Field subclass instance corresponding to a given space. Parameters ---------- name : str The field name. dtype : numpy.dtype The field data type: float64 or complex128. shape : int/tuple/str The field shape: 1 or (1,) or 'scalar', space dimension (2, or (2,) or 3 or (3,)) or 'vector', or a tuple. The field shape determines the shape of the FE base functions and is related to the number of components of variables and to the DOF per node count, depending on the field kind. region : Region The region where the field is defined. approx_order : int/str The FE approximation order, e.g. 0, 1, 2, '1B' (1 with bubble). space : str The function space name. poly_space_base : str The name of polynomial space base. Notes ----- Assumes one cell type for the whole region! """ conf = Struct(name=name, dtype=dtype, shape=shape, region=region.name, approx_order=approx_order, space=space, poly_space_base=poly_space_base) return Field.from_conf(conf, {region.name : region}) @staticmethod def from_conf(conf, regions): """ Create a Field subclass instance based on the configuration. """ if Field._all is None: import sfepy from sfepy.base.base import load_classes field_files = [ii for ii in sfepy.get_paths('sfepy/discrete/fem/fields*.py') if 'fields_base.py' not in ii] \ + sfepy.get_paths('sfepy/discrete/iga/fields*.py') Field._all = load_classes(field_files, [Field], ignore_errors=True, name_attr='family_name') table = Field._all space = conf.get('space', 'H1') poly_space_base = conf.get('poly_space_base', 'lagrange') key = space + '_' + poly_space_base approx_order = parse_approx_order(conf.approx_order) ao, force_bubble, discontinuous = approx_order region = regions[conf.region] if region.kind == 'cell': # Volume fields. kind = 'volume' if discontinuous: cls = table[kind + '_' + key + '_discontinuous'] else: cls = table[kind + '_' + key] obj = cls(conf.name, conf.dtype, conf.shape, region, approx_order=approx_order[:2]) else: # Surface fields. kind = 'surface' cls = table[kind + '_' + key] obj = cls(conf.name, conf.dtype, conf.shape, region, approx_order=approx_order[:2]) return obj def _setup_kind(self): name = self.get('family_name', None, 'An abstract Field method called!') aux = name.split('_') self.space = aux[1] self.poly_space_base = aux[2] def get_dofs_in_region(self, region, merge=False, clean=False, warn=False, igs=None): """ Return indices of DOFs that belong to the given region. """ if igs is None: igs = region.igs nods = [] for ig in self.igs: if not ig in igs: nods.append(None) continue nn = self.get_dofs_in_region_group(region, ig) nods.append(nn) if merge: nods = [nn for nn in nods if nn is not None] nods = nm.unique(nm.hstack(nods)) elif clean: for nn in nods[:]: if nn is None: nods.remove(nn) if warn is not None: output(warn + ('%s' % region.name)) return nods def clear_mappings(self, clear_all=False): """ Clear current reference mappings. """ self.mappings = {} if clear_all: self.mappings0 = {} def save_mappings(self): """ Save current reference mappings to `mappings0` attribute. """ self.mappings0 = self.mappings.copy() def get_mapping(self, ig, region, integral, integration, get_saved=False, return_key=False): """ For given region, integral and integration type, get a reference mapping, i.e. jacobians, element volumes and base function derivatives for Volume-type geometries, and jacobians, normals and base function derivatives for Surface-type geometries corresponding to the field approximation. The mappings are cached in the field instance in `mappings` attribute. The mappings can be saved to `mappings0` using `Field.save_mappings`. The saved mapping can be retrieved by passing `get_saved=True`. If the required (saved) mapping is not in cache, a new one is created. Returns ------- geo : CMapping instance The reference mapping. mapping : VolumeMapping or SurfaceMapping instance The mapping. key : tuple The key of the mapping in `mappings` or `mappings0`. """ key = (region.name, integral.order, ig, integration) if get_saved: out = self.mappings0.get(key, None) else: out = self.mappings.get(key, None) if out is None: out = self.create_mapping(ig, region, integral, integration) self.mappings[key] = out if return_key: out = out + (key,) return out sfepy-release_2015.1/sfepy/discrete/common/mappings.py000066400000000000000000000162641247364230400230560ustar00rootroot00000000000000""" Reference-physical domain mappings. """ import numpy as nm from sfepy.base.base import Struct class PhysicalQPs(Struct): """ Physical quadrature points in a region. """ def __init__(self, igs, n_total=0, is_uniform=True): Struct.__init__(self, igs=igs, n_total=n_total, indx={}, rindx={}, n_per_group={}, shape={}, values={}, is_uniform=is_uniform) for ig in self.igs: self.indx[ig] = slice(None) self.rindx[ig] = slice(None) self.n_per_group[ig] = 0 self.shape[ig] = (0, 0, 0) self.values[ig] = nm.empty(self.shape[ig], dtype=nm.float64) def get_merged_values(self): qps = nm.concatenate([self.values[ig] for ig in self.igs], axis=0) return qps def get_shape(self, rshape, ig=None): """ Get shape from raveled shape. """ if ig is None: if self.is_uniform: n_qp = self.shape[self.igs[0]][1] else: msg = 'ig argument must be given for non-uniform QPs!' raise ValueError(msg) else: n_qp = self.shape[ig][1] if (rshape[0] / n_qp) * n_qp != rshape[0]: raise ValueError('incompatible shapes! (n_qp: %d, %s)' % (n_qp, rshape)) shape = (rshape[0] / n_qp, n_qp) + rshape[1:] return shape class Mapping(Struct): """ Base class for mappings. """ @staticmethod def from_args(region, kind='v', ig=None): """ Create mapping from reference to physical entities in a given region, given the integration kind ('v' or 's'). This mapping can be used to compute the physical quadrature points. Parameters ---------- region : Region instance The region defining the entities. kind : 'v' or 's' The kind of the entities: 'v' - cells, 's' - facets. ig : int, optional The group index. Returns ------- mapping : VolumeMapping or SurfaceMapping instance The requested mapping. """ from sfepy.discrete.fem.domain import FEDomain from sfepy.discrete.iga.domain import IGDomain if isinstance(region.domain, FEDomain): import sfepy.discrete.fem.mappings as mm coors = region.domain.get_mesh_coors() if kind == 's': coors = coors[region.vertices] gel = region.domain.groups[ig].gel conn = region.domain.groups[ig].conn if kind == 'v': cells = region.get_cells(ig) mapping = mm.VolumeMapping(coors, conn[cells], gel=gel) elif kind == 's': from sfepy.discrete.fem.fe_surface import FESurface aux = FESurface('aux', region, gel.get_surface_entities(), conn , ig) mapping = mm.SurfaceMapping(coors, aux.leconn, gel=gel.surface_facet) elif isinstance(region.domain, IGDomain): import sfepy.discrete.iga.mappings as mm mapping = mm.IGMapping(region.domain, region.cells) else: raise ValueError('unknown domain class! (%s)' % type(region.domain)) return mapping def get_physical_qps(region, integral, map_kind=None): """ Get physical quadrature points corresponding to the given region and integral. """ phys_qps = PhysicalQPs(region.igs) if map_kind is None: map_kind = 'v' if region.can_cells else 's' ii = 0 for ig in region.igs: gmap = Mapping.from_args(region, map_kind, ig) gel = gmap.get_geometry() qp_coors, _ = integral.get_qp(gel.name) qps = gmap.get_physical_qps(qp_coors) n_el, n_qp = qps.shape[0], qps.shape[1] phys_qps.n_per_group[ig] = n_per_group = n_el * n_qp phys_qps.shape[ig] = qps.shape phys_qps.indx[ig] = slice(ii, ii + n_el) phys_qps.rindx[ig] = slice(ii * n_qp, (ii + n_el) * n_qp) ii += qps.shape[0] qps.shape = (n_per_group, qps.shape[2]) phys_qps.values[ig] = qps phys_qps.n_total += n_el * n_qp return phys_qps def get_mapping_data(name, field, integral, region=None, integration='volume'): """ General helper function for accessing reference mapping data. Get data attribute `name` from reference mapping corresponding to `field` in `region` in quadrature points of the given `integral` and `integration` type. Parameters ---------- name : str The reference mapping attribute name. field : Field instance The field defining the reference mapping. integral : Integral instance The integral defining quadrature points. region : Region instance, optional If given, use the given region instead of `field` region. integration : one of ('volume', 'surface', 'surface_extra') The integration type. Returns ------- data : array The required data merged for all element groups. Notes ----- Assumes the same element geometry in all element groups of the field! """ data = None if region is None: region = field.region for ig in region.igs: geo, _ = field.get_mapping(ig, region, integral, integration) _data = getattr(geo, name) if data is None: data = _data else: data = nm.concatenate((data, _data), axis=0) return data def get_jacobian(field, integral, region=None, integration='volume'): """ Get the jacobian of reference mapping corresponding to `field`. Parameters ---------- field : Field instance The field defining the reference mapping. integral : Integral instance The integral defining quadrature points. region : Region instance, optional If given, use the given region instead of `field` region. integration : one of ('volume', 'surface', 'surface_extra') The integration type. Returns ------- jac : array The jacobian merged for all element groups. See Also -------- get_mapping_data() Notes ----- Assumes the same element geometry in all element groups of the field! """ jac = get_mapping_data('det', field, integral, region=region, integration=integration) return jac def get_normals(field, integral, region): """ Get the normals of element faces in `region`. Parameters ---------- field : Field instance The field defining the reference mapping. integral : Integral instance The integral defining quadrature points. region : Region instance The given of the element faces. Returns ------- normals : array The normals merged for all element groups. See Also -------- get_mapping_data() Notes ----- Assumes the same element geometry in all element groups of the field! """ normals = get_mapping_data('normal', field, integral, region=region, integration='surface') return normals sfepy-release_2015.1/sfepy/discrete/common/region.py000066400000000000000000000621731247364230400225230ustar00rootroot00000000000000import re from copy import copy import numpy as nm from sfepy.base.base import output, assert_, Struct _depends = re.compile('r\.([a-zA-Z_0-9.]+)').findall def get_parents(selector): """ Given a region selector, return names of regions it is based on. """ parents = _depends(selector) return parents def get_dependency_graph(region_defs): """ Return a dependency graph and a name-sort name mapping for given region definitions. """ graph = {} name_to_sort_name = {} for sort_name, rdef in region_defs.iteritems(): name, sel = rdef.name, rdef.select if name_to_sort_name.has_key(name): msg = 'region %s/%s already defined!' % (sort_name, name) raise ValueError(msg) name_to_sort_name[name] = sort_name if not graph.has_key(name): graph[name] = [0] for parent in get_parents(sel): graph[name].append(parent) if rdef.get('parent', None) is not None: graph[name].append(rdef.parent) return graph, name_to_sort_name def sort_by_dependency(graph): out = [] n_nod = len(graph) idone = 0 idone0 = -1 while idone < n_nod: dep_removed = 0 for node, deps in graph.iteritems(): if (len(deps) == 1) and not deps[0]: out.append(node) deps[0] = 1 idone += 1 elif not deps[0]: for ii, dep in enumerate(deps[1:]): if not dep in graph: msg = 'dependency %s of region %s does not exist!' raise ValueError(msg % (dep, node)) if graph[dep][0]: ir = deps.index(dep) deps.pop(ir) dep_removed += 1 if (idone <= idone0) and not dep_removed: raise ValueError, 'circular dependency' idone0 = idone return out def are_disjoint(r1, r2): """ Check if the regions `r1` and `r2` are disjoint. Uses vertices for the check - `*_only` regions not allowed. """ return len(nm.intersect1d(r1.vertices, r2.vertices, assume_unique=True)) == 0 def _join(def1, op, def2): return '(' + def1 + ' ' + op + ' ' + def2 + ')' def _try_delete(obj, ig): try: del obj[ig] except KeyError: pass class Region(Struct): """ Region defines a subset of a FE domain. Region kinds: - cell_only, facet_only, face_only, edge_only, vertex_only - only the specified entities are included, others are empty sets (so that the operators are still defined) - cell, facet, face, edge, vertex - entities of higher dimension are not included The 'cell' kind is the most general and it is the default. Region set-like operators: + (union), - (difference), * (intersection), followed by one of ('v', 'e', 'f', 'c', and 's') for vertices, edges, faces, cells, and facets. Notes ----- Functions depending on `ig` are adapters for current code that should be removed after new assembling is done. Created: 31.10.2005 """ __can = { 'cell' : (1, 1, 1, 1), 'face' : (1, 1, 1, 0), 'edge' : (1, 1, 0, 0), 'vertex' : (1, 0, 0, 0), 'cell_only' : (0, 0, 0, 1), 'face_only' : (0, 0, 1, 0), 'edge_only' : (0, 1, 0, 0), 'vertex_only' : (1, 0, 0, 0), } __facet_kinds = { 1 : {'facet' : 'vertex', 'facet_only' : 'vertex_only'}, 2 : {'facet' : 'edge', 'facet_only' : 'edge_only'}, 3 : {'facet' : 'face', 'facet_only' : 'face_only'}, } __op_to_fun = { '+' : nm.union1d, '-' : nm.setdiff1d, '*' : nm.intersect1d, } @staticmethod def from_vertices(vertices, domain, name='region', kind='cell'): """ Create a new region containing given vertices. Parameters ---------- vertices : array The array of vertices. domain : Domain instance The domain containing the vertices. name : str, optional The name of the region. kind : str, optional The kind of the region. Returns ------- obj : Region instance The new region. """ obj = Region(name, 'given vertices', domain, '', kind=kind) obj.vertices = vertices return obj @staticmethod def from_facets(facets, domain, name='region', kind='facet', parent=None): """ Create a new region containing given facets. Parameters ---------- facets : array The array with indices to unique facets. domain : Domain instance The domain containing the facets. name : str, optional The name of the region. kind : str, optional The kind of the region. parent : str, optional The name of the parent region. Returns ------- obj : Region instance The new region. """ obj = Region(name, 'given faces', domain, '', kind=kind, parent=parent) obj.facets = facets return obj @staticmethod def from_cells(cells, domain, name='region', kind='cell', parent=None): """ Create a new region containing given cells. Parameters ---------- cells : array The array of cells. domain : Domain instance The domain containing the facets. name : str, optional The name of the region. kind : str, optional The kind of the region. parent : str, optional The name of the parent region. Returns ------- obj : Region instance The new region. """ obj = Region(name, 'given cells', domain, '', kind=kind, parent=parent) obj.cells = cells return obj def __init__(self, name, definition, domain, parse_def, kind='cell', parent=None): """ Create region instance. Parameters ---------- name : str The region name, either given, or automatic for intermediate regions. definition : str The region selector definition. domain : Domain instance The domain of the region. parse_def : str The parsed definition of the region. kind : str The region kind - one of 'cell', 'facet', 'face', 'edge', 'vertex', 'cell_only', ..., 'vertex_only'. parent : str, optional The name of the parent region. """ tdim = domain.shape.tdim Struct.__init__(self, name=name, definition=definition, domain=domain, parse_def=parse_def, n_v_max=domain.shape.n_nod, dim=domain.shape.dim, tdim=tdim, kind_tdim=None, entities=[None] * (tdim + 1), kind=None, parent=parent, shape=None, mirror_region=None, ig_map=None, ig_map_i=None) self.set_kind(kind) def set_kind(self, kind): if kind == self.kind: return self.kind = kind if 'facet' in kind: self.true_kind = self.__facet_kinds[self.tdim][kind] else: self.true_kind = kind can = [bool(ii) for ii in self.__can[self.true_kind]] self.can_vertices = can[0] if self.tdim == 1: self.can = (can[0], can[3]) self.can_cells = can[1] elif self.tdim == 2: self.can = (can[0], can[1], can[3]) self.can_edges = can[1] self.can_cells = can[2] else: self.can = can self.can_edges = can[1] self.can_faces = can[2] self.can_cells = can[3] for ii, ican in enumerate(self.can): if not ican: self.entities[ii] = nm.empty(0, dtype=nm.uint32) self._igs = None self.set_kind_tdim() def set_kind_tdim(self): if 'vertex' in self.true_kind: self.kind_tdim = 0 elif 'edge' in self.true_kind: self.kind_tdim = 1 elif 'face' in self.true_kind: self.kind_tdim = 2 elif 'cell' in self.true_kind: self.kind_tdim = self.tdim @property def vertices(self): if self.entities[0] is None: self._access(1) self.setup_from_highest(0) return self.entities[0] @vertices.setter def vertices(self, vals): if self.can_vertices: self.entities[0] = nm.asarray(vals, dtype=nm.uint32) else: raise ValueError('region "%s" cannot have vertices!' % self.name) @property def edges(self): if self.tdim <= 1: raise AttributeError('1D region has no edges!') if self.entities[1] is None: if 'edge' in self.true_kind: self.setup_from_vertices(1) else: self._access(2) self.setup_from_highest(1) return self.entities[1] @edges.setter def edges(self, vals): if self.can_edges: self.entities[1] = nm.asarray(vals, dtype=nm.uint32) else: raise ValueError('region "%s" cannot have edges!' % self.name) @property def faces(self): if self.tdim <= 2: raise AttributeError('1D or 2D region has no faces!') if self.entities[2] is None: if 'face' in self.true_kind: self.setup_from_vertices(2) else: self._access(3) self.setup_from_highest(2) return self.entities[2] @faces.setter def faces(self, vals): if self.can_faces: self.entities[2] = nm.asarray(vals, dtype=nm.uint32) else: raise ValueError('region "%s" cannot have faces!' % self.name) @property def facets(self): if self.tdim == 3: return self.faces elif self.tdim == 2: return self.edges else: return self.vertices @facets.setter def facets(self, vals): if self.tdim == 3: self.faces = vals elif self.tdim == 2: self.edges = vals else: self.vertices = vals @property def cells(self): if self.entities[self.tdim] is None: self.setup_from_vertices(self.tdim) return self.entities[self.tdim] @cells.setter def cells(self, vals): if self.can_cells: self.entities[self.tdim] = nm.asarray(vals, dtype=nm.uint32) else: raise ValueError('region "%s" cannot have cells!' % self.name) def _access(self, dim): """ Helper to access region entities of dimension `dim`. """ if dim == 0: self.vertices elif dim == 1: if self.tdim == 1: self.cells else: self.edges elif dim == 2: if self.tdim == 3: self.faces else: self.cells else: self.cells def setup_from_highest(self, dim, allow_lower=True): """ Setup entities of topological dimension `dim` using the available entities of the highest topological dimension. """ if not self.can[dim]: return for idim in range(self.tdim, -1, -1): if self.entities[idim] is not None: if self.entities[idim].shape[0] > 0: break else: msg = 'region "%s" has no entities!' raise ValueError(msg % self.name) cmesh = self.domain.cmesh if idim <= dim: if not allow_lower: msg = 'setup_from_highest() can be used only with dim < %d' raise ValueError(msg % idim) cmesh.setup_connectivity(dim, idim) ents = self.get_entities(idim) self.entities[dim] = cmesh.get_complete(dim, ents, idim) else: cmesh.setup_connectivity(idim, dim) incident = cmesh.get_incident(dim, self.entities[idim], idim) self.entities[dim] = nm.unique(incident) def setup_from_vertices(self, dim): """ Setup entities of topological dimension `dim` using the region vertices. """ if not self.can[dim]: return cmesh = self.domain.cmesh cmesh.setup_connectivity(dim, 0) vv = self.vertices self.entities[dim] = cmesh.get_complete(dim, vv, 0) def finalize(self): """ Initialize the entities corresponding to the region kind and regenerate all already existing (accessed) entities of lower topological dimension from the kind entities. """ self._access(self.kind_tdim) for idim in range(self.kind_tdim - 1, -1, -1): if self.can[idim] and self.entities[idim] is not None: try: self.setup_from_highest(idim, allow_lower=False) except ValueError, exc: msg = '\n'.join((exc.message, 'fix region kind? (region: %s, kind: %s)' % (self.name, self.kind))) raise ValueError(msg) def eval_op_vertices(self, other, op): parse_def = _join(self.parse_def, '%sv' % op, other.parse_def) tmp = self.light_copy('op', parse_def) tmp.vertices = self.__op_to_fun[op](self.vertices, other.vertices) return tmp def eval_op_edges(self, other, op): parse_def = _join(self.parse_def, '%se' % op, other.parse_def) tmp = self.light_copy('op', parse_def) tmp.edges = self.__op_to_fun[op](self.edges, other.edges) return tmp def eval_op_faces(self, other, op): parse_def = _join(self.parse_def, '%sf' % op, other.parse_def) tmp = self.light_copy('op', parse_def) tmp.faces = self.__op_to_fun[op](self.faces, other.faces) return tmp def eval_op_facets(self, other, op): parse_def = _join(self.parse_def, '%ss' % op, other.parse_def) tmp = self.light_copy('op', parse_def) tmp.facets = self.__op_to_fun[op](self.facets, other.facets) return tmp def eval_op_cells(self, other, op): parse_def = _join(self.parse_def, '%sc' % op, other.parse_def) tmp = self.light_copy('op', parse_def) tmp.cells = self.__op_to_fun[op](self.cells, other.cells) return tmp def light_copy(self, name, parse_def): return Region(name, self.definition, self.domain, parse_def, kind=self.kind) def copy(self): """ Vertices-based copy. """ tmp = self.light_copy('copy', self.parse_def) tmp.vertices = copy(self.vertices) return tmp def delete_zero_faces(self, eps=1e-14): raise NotImplementedError @property def igs(self): """ Cell group indices according to region kind. """ if self.parent is not None: self._igs = self.domain.regions[self.parent].igs elif self._igs is None: if 'vertex' in self.true_kind: self._igs = self.domain.cmesh.get_igs(self.vertices, 0) elif 'edge' in self.true_kind: self._igs = self.domain.cmesh.get_igs(self.edges, 1) elif 'face' in self.true_kind: self._igs = self.domain.cmesh.get_igs(self.faces, 2) elif 'cell' in self.true_kind: self._igs = self.domain.cmesh.get_igs(self.cells, self.tdim) if not len(self._igs): output('warning: region %s of %s kind has empty group indices!' % (self.name, self.kind)) return self._igs def update_shape(self): """ Update shape of each group according to region vertices, edges, faces and cells. """ get = self.domain.cmesh.get_from_cell_group self.shape = {} for ig in self.igs: n_vertex = get(ig, 0, self.vertices).shape[0] n_cell = get(ig, self.tdim, self.cells).shape[0] if self.tdim > 1: n_edge = get(ig, 1, self.edges).shape[0] else: n_edge = 0 if self.tdim == 3: n_face = get(ig, 2, self.faces).shape[0] else: n_face = 0 self.shape[ig] = Struct(n_vertex=n_vertex, n_edge=n_edge, n_face=n_face, n_cell=n_cell) def get_entities(self, dim, ig=None): """ Return mesh entities of dimension `dim`, and optionally with the cell group `ig`. """ if ig is not None: out = self.domain.cmesh.get_from_cell_group(ig, dim, self.entities[dim]) else: if dim <= self.tdim: self._access(dim) out = self.entities[dim] else: out = nm.empty(0, dtype=nm.uint32) return out def get_vertices_of_cells(self): """ Return all vertices, that are in some cell of the region. """ vertices = self.domain.cmesh.get_incident(0, self.cells, self.tdim) return nm.unique(vertices) def get_vertices(self, ig): out = self.domain.cmesh.get_from_cell_group(ig, 0, self.vertices) return out def get_edges(self, ig): out = self.domain.cmesh.get_from_cell_group(ig, 1, self.edges) return out def get_faces(self, ig): out = self.domain.cmesh.get_from_cell_group(ig, 2, self.faces) return out def get_facets(self, ig): """ Return either region vertices (in 1D), edges (in 2D) or faces (in 3D). """ if self.tdim == 1: return self.get_vertices(ig) elif self.tdim == 2: return self.get_edges(ig) else: return self.get_faces(ig) def get_cells(self, ig, true_cells_only=True, offset=True): """ Get cells of the region. Raises ValueError if `true_cells_only` is True and the region kind does not allow cells (e.g. surface integration region). For `true_cells_only` equal to False, cells incident to facets are returned if the region itself contains no cells. If `offset` is True, the cell group offset is subtracted from the cell ids. """ cmesh = self.domain.cmesh if self.cells.shape[0] == 0: if true_cells_only: msg = 'region %s has not true cells! (has kind: %s)' \ % (self.name, self.kind) raise ValueError(msg) else: # Has to be consistent with get_facet_indices()! cmesh.setup_connectivity(self.tdim - 1, self.tdim) out = cmesh.get_incident(self.tdim, self.facets, self.tdim - 1) igs = cmesh.cell_groups[out] ic = nm.where(igs == ig) out = out[ic] else: out = cmesh.get_from_cell_group(ig, self.tdim, self.cells) if offset: out -= self.domain.cell_offsets[ig] return out def get_facet_indices(self, ig, offset=True, force_ig=True): """ Return an array (per group) of (iel, ifa) for each facet. A facet can be in 1 (surface) or 2 (inner) cells. If `offset` is True, the cell group offset is subtracted from the cell ids. If `force_ig` is True, only the cells with the given `ig` are used. """ cmesh = self.domain.cmesh facets = self.get_facets(ig) cells, offs = cmesh.get_incident(self.tdim, facets, self.tdim - 1, ret_offsets=True) ii = cmesh.get_local_ids(facets, self.tdim - 1, cells, offs, self.tdim) fis = nm.c_[cells, ii] if force_ig: igs = cmesh.cell_groups[cells] ic = nm.where(igs == ig) fis = fis[ic] if offset: fis[:, 0] -= self.domain.cell_offsets[ig] return fis def setup_mirror_region(self): """ Find the corresponding mirror region, set up element mapping. """ regions = self.domain.regions parent = regions[self.parent] for reg in regions: mirror_parent = regions.find(reg.parent) if mirror_parent is None: continue if ((reg is not self) and (len(reg.igs) == len(self.igs)) and (not len(nm.intersect1d(parent.igs, mirror_parent.igs))) and nm.all(self.vertices == reg.vertices)): mirror_region = reg break else: raise ValueError('cannot find mirror region! (%s)' % self.name) ig_map = {} ig_map_i = {} for igr in parent.igs: v1 = self.get_vertices(igr) for igc in mirror_parent.igs: v2 = self.get_vertices(igc) if nm.all(v1 == v2): ig_map[igc] = igr ig_map_i[igr] = igc break else: raise ValueError('cannot find mirror region group! (%d)' % igr) self._igs = parent._igs mirror_region._igs = mirror_parent._igs self.mirror_region = mirror_region self.ig_map = ig_map self.ig_map_i = ig_map_i def get_mirror_region(self): return self.mirror_region, self.ig_map, self.ig_map_i def get_n_cells(self, ig=None, is_surface=False): """ Get number of region cells. Parameters ---------- ig : int, optional The group index. If None, counts from all groups are added together. is_surface : bool If True, number of edges or faces according to domain dimension is returned instead. Returns ------- n_cells : int The number of cells. """ if ig is not None: if is_surface: if self.domain.groups[ig].shape.dim == 2: return self.shape[ig].n_edge else: return self.shape[ig].n_face else: return self.shape[ig].n_cell else: return sum(self.get_n_cells(ig, is_surface=is_surface) for ig in self.igs) def iter_cells(self): ii = 0 off = 0 for ig in self.igs: n_cell = self.shape[ig].n_cell for iel in self.cells[off : off + n_cell]: yield ig, ii, iel - off ii += 1 off += n_cell def has_cells(self): return self.cells.size > 0 def contains(self, other): """ Return True in the region contains the `other` region. The check is performed using entities corresponding to the other region kind. """ tdim = other.kind_tdim se = self.get_entities(tdim) oe = other.entities[tdim] return len(nm.intersect1d(se, oe)) def get_cell_offsets(self): offs = {} off = 0 for ig in self.igs: offs[ig] = off off += self.shape[ig].n_cell return offs def get_charfun(self, by_cell=False, val_by_id=False): """ Return the characteristic function of the region as a vector of values defined either in the mesh vertices (by_cell == False) or cells. The values are either 1 (val_by_id == False) or sequential id + 1. """ if by_cell: chf = nm.zeros((self.domain.shape.n_el,), dtype=nm.float64) if val_by_id: chf[self.cells] = self.cells + 1 else: chf[self.cells] = 1.0 else: chf = nm.zeros((self.domain.shape.n_nod,), dtype=nm.float64) if val_by_id: chf[self.vertices] = self.vertices + 1 else: chf[self.vertices] = 1.0 return chf def get_edge_graph(self): """ Return the graph of region edges as a sparse matrix having uid(k) + 1 at (i, j) if vertex[i] is connected with vertex[j] by the edge k. Degenerate edges are ignored. """ from scipy.sparse import csr_matrix cmesh = self.domain.cmesh e_verts = cmesh.get_incident(0, self.edges, 1) e_verts.shape = (e_verts.shape[0] / 2, 2) ii = nm.where(e_verts[:, 0] != e_verts[:, 1])[0] edges = self.edges[ii] e_verts = e_verts[ii] vals = edges + 1 rows = e_verts[:, 0] cols = e_verts[:, 1] num = self.vertices.max() + 1 graph = csr_matrix((vals, (rows, cols)), shape=(num, num)) nnz = graph.nnz # Symmetrize. graph = graph + graph.T assert_(graph.nnz == 2 * nnz) return graph sfepy-release_2015.1/sfepy/discrete/common/setup.py000066400000000000000000000006341247364230400223720ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/conditions.py000066400000000000000000000237521247364230400221210ustar00rootroot00000000000000""" The Dirichlet, periodic and linear combination boundary condition classes, as well as the initial condition class. """ import numpy as nm from sfepy.base.base import basestr, Container, Struct from sfepy.discrete.functions import Function def get_condition_value(val, functions, kind, name): """ Check a boundary/initial condition value type and return the value or corresponding function. """ if type(val) == str: if functions is not None: try: fun = functions[val] except IndexError: raise ValueError('unknown function %s given for %s %s!' % (val, kind, name)) else: raise ValueError('no functions given for %s %s!' % (kind, name)) elif (isinstance(val, Function) or nm.isscalar(val) or isinstance(val, nm.ndarray)): fun = val else: raise ValueError('unknown value type for %s %s!' % (kind, name)) return fun def _get_region(name, regions, bc_name): try: region = regions[name] except IndexError: msg = "no region '%s' used in condition %s!" % (name, bc_name) raise IndexError(msg) return region class Conditions(Container): """ Container for various conditions. """ @staticmethod def from_conf(conf, regions): conds = [] for key, cc in conf.iteritems(): times = cc.get('times', None) if 'ebc' in key: region = _get_region(cc.region, regions, cc.name) cond = EssentialBC(cc.name, region, cc.dofs, key=key, times=times) elif 'epbc' in key: rs = [_get_region(ii, regions, cc.name) for ii in cc.region] cond = PeriodicBC(cc.name, rs, cc.dofs, cc.match, key=key, times=times) elif 'lcbc' in key: if isinstance(cc.region, basestr): rs = [_get_region(cc.region, regions, cc.name), None] else: rs = [_get_region(ii, regions, cc.name) for ii in cc.region] cond = LinearCombinationBC(cc.name, rs, cc.dofs, cc.dof_map_fun, cc.kind, key=key, times=times, arguments=cc.get('arguments', None)) elif 'ic' in key: region = _get_region(cc.region, regions, cc.name) cond = InitialCondition(cc.name, region, cc.dofs, key=key) else: raise ValueError('unknown condition type! (%s)' % key) conds.append(cond) obj = Conditions(conds) return obj def group_by_variables(self, groups=None): """ Group boundary conditions of each variable. Each condition is a group is a single condition. Parameters ---------- groups : dict, optional If present, update the `groups` dictionary. Returns ------- out : dict The dictionary with variable names as keys and lists of single condition instances as values. """ if groups is None: out = {} else: out = groups for cond in self: for single_cond in cond.iter_single(): vname = single_cond.dofs[0].split('.')[0] out.setdefault(vname, Conditions()).append(single_cond) return out def canonize_dof_names(self, dofs): """ Canonize the DOF names using the full list of DOFs of a variable. """ for cond in self: cond.canonize_dof_names(dofs) def sort(self): """ Sort boundary conditions by their key. """ self._objs.sort(cmp=lambda i1, i2: cmp(i1.key, i2.key)) self.update() def zero_dofs(self): """ Set all boundary condition values to zero, if applicable. """ for cond in self: if isinstance(cond, EssentialBC): cond.zero_dofs() def _canonize(dofs, all_dofs): """ Helper function. """ vname, dd = dofs.split('.') if dd == 'all': cdofs = all_dofs elif dd[0] == '[': cdofs = [vname + '.' + ii.strip() for ii in dd[1:-1].split(',')] else: cdofs = [dofs] return cdofs class Condition(Struct): """ Common boundary condition methods. """ def __init__(self, name, **kwargs): Struct.__init__(self, name=name, **kwargs) self.is_single = False def iter_single(self): """ Create a single condition instance for each item in self.dofs and yield it. """ for dofs, val in self.dofs.iteritems(): single_cond = self.copy(name=self.name) single_cond.is_single = True single_cond.dofs = [dofs, val] yield single_cond def canonize_dof_names(self, dofs): """ Canonize the DOF names using the full list of DOFs of a variable. Assumes single condition instance. """ self.dofs[0] = _canonize(self.dofs[0], dofs) class EssentialBC(Condition): """ Essential boundary condidion. Parameters ---------- name : str The boundary condition name. region : Region instance The region where the boundary condition is applied. dofs : dict The boundary condition specification defining the constrained DOFs and their values. key : str, optional The sorting key. times : list or str, optional The list of time intervals or a function returning True at time steps, when the condition applies. """ def __init__(self, name, region, dofs, key='', times=None): Condition.__init__(self, name=name, region=region, dofs=dofs, key=key, times=times) def zero_dofs(self): """ Set all essential boundary condition values to zero. """ if self.is_single: self.dofs[1] = 0.0 else: new_dofs = {} for key in self.dofs.iterkeys(): new_dofs[key] = 0.0 self.dofs = new_dofs class PeriodicBC(Condition): """ Periodic boundary condidion. Parameters ---------- name : str The boundary condition name. regions : list of two Region instances The master region and the slave region where the DOFs should match. dofs : dict The boundary condition specification defining the DOFs in the master region and the corresponding DOFs in the slave region. match : str The name of function for matching corresponding nodes in the two regions. key : str, optional The sorting key. times : list or str, optional The list of time intervals or a function returning True at time steps, when the condition applies. """ def __init__(self, name, regions, dofs, match, key='', times=None): Condition.__init__(self, name=name, regions=regions, dofs=dofs, match=match, key=key, times=times) def canonize_dof_names(self, dofs): """ Canonize the DOF names using the full list of DOFs of a variable. Assumes single condition instance. """ self.dofs[0] = _canonize(self.dofs[0], dofs) self.dofs[1] = _canonize(self.dofs[1], dofs) class LinearCombinationBC(Condition): """ Linear combination boundary condidion. Parameters ---------- name : str The boundary condition name. regions : list of two Region instances The constrained (master) DOFs region and the new (slave) DOFs region. The latter can be None if new DOFs are not field variable DOFs. dofs : dict The boundary condition specification defining the constrained DOFs and the new DOFs (can be None). dof_map_fun : str The name of function for mapping the constrained DOFs to new DOFs (can be None). kind : str The linear combination condition kind. key : str, optional The sorting key. times : list or str, optional The list of time intervals or a function returning True at time steps, when the condition applies. arguments: tuple, optional Additional arguments, depending on the condition kind. """ def __init__(self, name, regions, dofs, dof_map_fun, kind, key='', times=None, arguments=None): Condition.__init__(self, name=name, regions=regions, dofs=dofs, dof_map_fun=dof_map_fun, kind=kind, key=key, times=times, arguments=arguments) def get_var_names(self): """ Get names of variables corresponding to the constrained and new DOFs. """ names = [self.dofs[0].split('.')[0]] if self.dofs[1] is not None: names.append(self.dofs[1].split('.')[0]) return names def canonize_dof_names(self, dofs0, dofs1=None): """ Canonize the DOF names using the full list of DOFs of a variable. Assumes single condition instance. """ self.dofs[0] = _canonize(self.dofs[0], dofs0) if self.dofs[1] is not None: self.dofs[1] = _canonize(self.dofs[1], dofs1) class InitialCondition(Condition): """ Initial condidion. Parameters ---------- name : str The initial condition name. region : Region instance The region where the initial condition is applied. dofs : dict The initial condition specification defining the constrained DOFs and their values. key : str, optional The sorting key. """ def __init__(self, name, region, dofs, key=''): Condition.__init__(self, name=name, region=region, dofs=dofs, key=key) sfepy-release_2015.1/sfepy/discrete/equations.py000066400000000000000000000663451247364230400217650ustar00rootroot00000000000000""" Classes of equations composed of terms. """ import time from copy import copy import numpy as nm import scipy.sparse as sp from sfepy.base.base import output, assert_, get_default, iter_dict_of_lists from sfepy.base.base import debug, OneTypeList, Container, Struct from sfepy.discrete import Materials, Variables, create_adof_conns from sfepy.discrete.fem.extmods.cmesh import create_mesh_graph from sfepy.terms import Terms, Term def parse_definition(equation_def): """ Parse equation definition string to create term description list. """ from parse_equations import create_bnf term_descs = [] bnf = create_bnf(term_descs) try: bnf.parseString(equation_def) except: raise ValueError('cannot parse equation! (%s)' % equation_def) return term_descs def get_expression_arg_names(expression, strip_dots=True): """ Parse expression and return set of all argument names. For arguments with attribute-like syntax (e.g. materials), if `strip_dots` is True, only base argument names are returned. """ args = ','.join(aux.args for aux in parse_definition(expression)) args = [arg.strip() for arg in args.split(',')] if strip_dots: for ii, arg in enumerate(args[:]): aux = arg.split('.') if len(aux) == 2: args[ii] = aux[0] return set(args) class Equations(Container): @staticmethod def from_conf(conf, variables, regions, materials, integrals, user=None, verbose=True): objs = OneTypeList(Equation) conf = copy(conf) ii = 0 for name, desc in conf.iteritems(): if verbose: output('equation "%s":' % name) output(desc) eq = Equation.from_desc(name, desc, variables, regions, materials, integrals, user=user) objs.append(eq) ii += 1 obj = Equations(objs) return obj def __init__(self, equations): Container.__init__(self, equations) self.variables = Variables(self.collect_variables()) self.materials = Materials(self.collect_materials()) self.domain = self.get_domain() self.active_bcs = set() self.collect_conn_info() def create_subequations(self, var_names, known_var_names=None): """ Create sub-equations containing only terms with the given virtual variables. Parameters ---------- var_names : list The list of names of virtual variables. known_var_names : list The list of names of (already) known state variables. Returns ------- subequations : Equations instance The sub-equations. """ from sfepy.discrete import FieldVariable known_var_names = get_default(known_var_names, []) objs = [] for iv, var_name in enumerate(var_names): terms = [term.copy(name=term.name) for eq in self for term in eq.terms if term.get_virtual_name() == var_name] # Make parameter variables from known state variables in terms # arguments. for known_name in known_var_names: for term in terms: if known_name in term.arg_names: ii = term.arg_names.index(known_name) state = self.variables[known_name] par = FieldVariable(known_name, 'parameter', state.field, primary_var_name='(set-to-None)') term.args[ii] = par term._kwargs[known_name] = par par.set_data(state()) new_terms = Terms(terms) objs.append(Equation('eq_%d' % iv, new_terms)) subequations = Equations(objs) return subequations def get_domain(self): domain = None for eq in self: for term in eq.terms: if term.has_region: domain = term.region.domain return domain def collect_materials(self): """ Collect materials present in the terms of all equations. """ materials = [] for eq in self: materials.extend(eq.collect_materials()) # Make the list items unique. materials = list(set(materials)) return materials def reset_materials(self): """ Clear material data so that next materials.time_update() is performed even for stationary materials. """ self.materials.reset() def collect_variables(self): """ Collect variables present in the terms of all equations. """ variables = [] for eq in self: variables.extend(eq.collect_variables()) # Make the list items unique. variables = list(set(variables)) return variables def get_variable(self, name): var = self.variables.get(name, msg_if_none='unknown variable! (%s)' % name) return var def collect_conn_info(self): """ Collect connectivity information as defined by the equations. """ self.conn_info = {} for eq in self: eq.collect_conn_info(self.conn_info) return self.conn_info def get_variable_names(self): """ Return the list of names of all variables used in equations. """ vns = set() for eq in self: for term in eq.terms: vns.update(term.get_variable_names()) return list(vns) def get_variable_dependencies(self): """ For each virtual variable get names of state/parameter variables that are present in terms with that virtual variable. The virtual variables define the actual equations and their dependencies define the variables needed to evaluate the equations. Returns ------- deps : dict The dependencies as a dictionary with virtual variable names as keys and sets of state/parameter variables as values. """ deps = {} for eq in self: for term in eq.terms: dep_list = deps.setdefault(term.get_virtual_name(), set()) dep_list.update(term.get_state_names()) return deps def invalidate_term_caches(self): """ Invalidate evaluate caches of variables present in equations. """ for var in self.variables: var.invalidate_evaluate_cache() def print_terms(self): """ Print names of equations and their terms. """ output('equations:') for eq in self: output(' %s:' % eq.name) for term in eq.terms: output(' %+.2e * %s.%d.%s(%s)' % (term.sign, term.name, term.integral.order, term.region.name, term.arg_str)) def time_update(self, ts, ebcs=None, epbcs=None, lcbcs=None, functions=None, problem=None, verbose=True): """ Update the equations for current time step. The update involves creating the mapping of active DOFs from/to all DOFs for all state variables, the setup of linear combination boundary conditions operators and the setup of active DOF connectivities. Parameters ---------- ts : TimeStepper instance The time stepper. ebcs : Conditions instance, optional The essential (Dirichlet) boundary conditions. epbcs : Conditions instance, optional The periodic boundary conditions. lcbcs : Conditions instance, optional The linear combination boundary conditions. functions : Functions instance, optional The user functions for boundary conditions, materials, etc. problem : Problem instance, optional The problem that can be passed to user functions as a context. verbose : bool If False, reduce verbosity. Returns ------- graph_changed : bool The flag set to True if the current time step set of active boundary conditions differs from the set of the previous time step. """ self.variables.time_update(ts, functions, verbose=verbose) active_bcs = self.variables.equation_mapping(ebcs, epbcs, ts, functions, problem=problem) graph_changed = active_bcs != self.active_bcs self.active_bcs = active_bcs if graph_changed or not self.variables.adof_conns: adcs = create_adof_conns(self.conn_info, self.variables.adi.indx) self.variables.set_adof_conns(adcs) self.variables.setup_lcbc_operators(lcbcs, ts, functions) for eq in self: for term in eq.terms: term.time_update(ts) return graph_changed def time_update_materials(self, ts, mode='normal', problem=None, verbose=True): """ Update data materials for current time and possibly also state. Parameters ---------- ts : TimeStepper instance The time stepper. mode : 'normal', 'update' or 'force' The update mode, see :func:`sfepy.discrete.materials.Material.time_update()`. problem : Problem instance, optional The problem that can be passed to user functions as a context. verbose : bool If False, reduce verbosity. """ self.materials.time_update(ts, self, mode=mode, problem=problem, verbose=verbose) def setup_initial_conditions(self, ics, functions): self.variables.setup_initial_conditions(ics, functions) def get_graph_conns(self, any_dof_conn=False, rdcs=None, cdcs=None): """ Get DOF connectivities needed for creating tangent matrix graph. Parameters ---------- any_dof_conn : bool By default, only volume DOF connectivities are used, with the exception of trace surface DOF connectivities. If True, any kind of DOF connectivities is allowed. rdcs, cdcs : arrays, optional Additional row and column DOF connectivities, corresponding to the variables used in the equations. Returns ------- rdcs, cdcs : arrays The row and column DOF connectivities defining the matrix graph blocks. """ if rdcs is None: rdcs = [] cdcs = [] elif cdcs is None: cdcs = copy(rdcs) else: assert_(len(rdcs) == len(cdcs)) if rdcs is cdcs: # Make sure the lists are not the same object. rdcs = copy(rdcs) adcs = self.variables.adof_conns # Only volume dof connectivities are used, with the exception of trace # surface dof connectivities. shared = set() for key, ii, info in iter_dict_of_lists(self.conn_info, return_keys=True): rvar, cvar = info.virtual, info.state if (rvar is None) or (cvar is None): continue is_surface = rvar.is_surface or cvar.is_surface dct = info.dc_type.type if not (dct in ('volume', 'scalar', 'plate') or is_surface or info.is_trace or any_dof_conn): continue rreg_name = info.get_region_name(can_trace=False) creg_name = info.get_region_name() for rig, cig in info.iter_igs(): rname = rvar.get_primary_name() rkey = (rname, rreg_name, dct, rig, False) ckey = (cvar.name, creg_name, dct, cig, info.is_trace) dc_key = (rkey, ckey) if not dc_key in shared: try: rdcs.append(adcs[rkey]) cdcs.append(adcs[ckey]) except: debug() shared.add(dc_key) return rdcs, cdcs def create_matrix_graph(self, any_dof_conn=False, rdcs=None, cdcs=None, shape=None, verbose=True): """ Create tangent matrix graph, i.e. preallocate and initialize the sparse storage needed for the tangent matrix. Order of DOF connectivities is not important. Parameters ---------- any_dof_conn : bool By default, only volume DOF connectivities are used, with the exception of trace surface DOF connectivities. If True, any kind of DOF connectivities is allowed. rdcs, cdcs : arrays, optional Additional row and column DOF connectivities, corresponding to the variables used in the equations. shape : tuple, optional The required shape, if it is different from the shape determined by the equations variables. This may be needed if additional row and column DOF connectivities are passed in. verbose : bool If False, reduce verbosity. Returns ------- matrix : csr_matrix The matrix graph in the form of a CSR matrix with preallocated structure and zero data. """ if not self.variables.has_virtuals(): output('no matrix (no test variables)!') return None shape = get_default(shape, self.variables.get_matrix_shape()) output('matrix shape:', shape, verbose=verbose) if nm.prod(shape) == 0: output('no matrix (zero size)!') return None rdcs, cdcs = self.get_graph_conns(any_dof_conn=any_dof_conn, rdcs=rdcs, cdcs=cdcs) if not len(rdcs): output('no matrix (empty dof connectivities)!') return None output('assembling matrix graph...', verbose=verbose) tt = time.clock() nnz, prow, icol = create_mesh_graph(shape[0], shape[1], len(rdcs), rdcs, cdcs) output('...done in %.2f s' % (time.clock() - tt), verbose=verbose) output('matrix structural nonzeros: %d (%.2e%% fill)' \ % (nnz, float(nnz) / nm.prod(shape)), verbose=verbose) data = nm.zeros((nnz,), dtype=self.variables.dtype) matrix = sp.csr_matrix((data, icol, prow), shape) return matrix def init_time(self, ts): pass def advance(self, ts): for eq in self: for term in eq.terms: term.advance(ts) self.variables.advance(ts) ## # Interface to self.variables. def create_state_vector(self): return self.variables.create_state_vector() def create_stripped_state_vector(self): return self.variables.create_stripped_state_vector() def strip_state_vector(self, vec, follow_epbc=False): """ Strip a full vector by removing EBC dofs. Notes ----- If 'follow_epbc' is True, values of EPBC master dofs are not simply thrown away, but added to the corresponding slave dofs, just like when assembling. For vectors with state (unknown) variables it should be set to False, for assembled vectors it should be set to True. """ return self.variables.strip_state_vector(vec, follow_epbc=follow_epbc) def make_full_vec(self, svec, force_value=None): """ Make a full DOF vector satisfying E(P)BCs from a reduced DOF vector. """ return self.variables.make_full_vec(svec, force_value) def set_variables_from_state(self, vec, step=0): """ Set data (vectors of DOF values) of variables. Parameters ---------- data : array The state vector. step : int The time history step, 0 (default) = current. """ self.variables.set_data(vec, step=step) def get_state_parts(self, vec=None): """ Return parts of a state vector corresponding to individual state variables. Parameters ---------- vec : array, optional The state vector. If not given, then the data stored in the variables are returned instead. Returns ------- out : dict The dictionary of the state parts. """ return self.variables.get_state_parts(vec) def set_data(self, data, step=0, ignore_unknown=False): """ Set data (vectors of DOF values) of variables. Parameters ---------- data : array The dictionary of {variable_name : data vector}. step : int, optional The time history step, 0 (default) = current. ignore_unknown : bool, optional Ignore unknown variable names if `data` is a dict. """ self.variables.set_data(data, step=step, ignore_unknown=ignore_unknown) def apply_ebc(self, vec, force_values=None): """ Apply essential (Dirichlet) boundary conditions to a state vector. """ self.variables.apply_ebc(vec, force_values=force_values) def apply_ic(self, vec, force_values=None): """ Apply initial conditions to a state vector. """ self.variables.apply_ic(vec, force_values=force_values) def state_to_output(self, vec, fill_value=None, var_info=None, extend=True): return self.variables.state_to_output(vec, fill_value=fill_value, var_info=var_info, extend=extend) def get_lcbc_operator(self): return self.variables.get_lcbc_operator() def evaluate(self, names=None, mode='eval', dw_mode='vector', term_mode=None, asm_obj=None): """ Evaluate the equations. Parameters ---------- mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode. names : str or sequence of str, optional Evaluate only equations of the given name(s). Returns ------- out : dict or result The evaluation result. In 'weak' mode it is the `asm_obj`. Otherwise, it is a dict of results with equation names as keys or a single result for a single equation. """ if names is None: eqs = self single = (len(eqs) == 1) else: single = isinstance(names, str) if single: names = [names] eqs = [self[eq] for eq in names] if mode == 'weak': for eq in eqs: eq.evaluate(mode=mode, dw_mode=dw_mode, term_mode=term_mode, asm_obj=asm_obj) out = asm_obj else: out = {} for eq in eqs: eout = eq.evaluate(mode=mode, dw_mode=dw_mode, term_mode=term_mode) out[eq.name] = eout if single: out = out.popitem()[1] return out def eval_residuals(self, state, by_blocks=False, names=None): """ Evaluate (assemble) residual vectors. Parameters ---------- state : array The vector of DOF values. Note that it is needed only in nonlinear terms. by_blocks : bool If True, return the individual blocks composing the whole residual vector. Each equation should then correspond to one required block and should be named as `'block_name, test_variable_name, unknown_variable_name'`. names : list of str, optional Optionally, select only blocks with the given `names`, if `by_blocks` is True. Returns ------- out : array or dict of array The assembled residual vector. If `by_blocks` is True, a dictionary is returned instead, with keys given by `block_name` part of the individual equation names. """ self.set_variables_from_state(state) if by_blocks: names = get_default(names, self.names) out = {} get_indx = self.variables.get_indx for name in names: eq = self[name] key, rname, cname = [aux.strip() for aux in name.split(',')] ir = get_indx(rname, stripped=True, allow_dual=True) residual = self.create_stripped_state_vector() eq.evaluate(mode='weak', dw_mode='vector', asm_obj=residual) out[key] = residual[ir] else: out = self.create_stripped_state_vector() self.evaluate(mode='weak', dw_mode='vector', asm_obj=out) return out def eval_tangent_matrices(self, state, tangent_matrix, by_blocks=False, names=None): """ Evaluate (assemble) tangent matrices. Parameters ---------- state : array The vector of DOF values. Note that it is needed only in nonlinear terms. tangent_matrix : csr_matrix The preallocated CSR matrix with zero data. by_blocks : bool If True, return the individual blocks composing the whole matrix. Each equation should then correspond to one required block and should be named as `'block_name, test_variable_name, unknown_variable_name'`. names : list of str, optional Optionally, select only blocks with the given `names`, if `by_blocks` is True. Returns ------- out : csr_matrix or dict of csr_matrix The assembled matrix. If `by_blocks` is True, a dictionary is returned instead, with keys given by `block_name` part of the individual equation names. """ self.set_variables_from_state(state) if by_blocks: names = get_default(names, self.names) out = {} get_indx = self.variables.get_indx for name in names: eq = self[name] key, rname, cname = [aux.strip() for aux in eq.name.split(',')] ir = get_indx(rname, stripped=True, allow_dual=True) ic = get_indx(cname, stripped=True, allow_dual=True) tangent_matrix.data[:] = 0.0 eq.evaluate(mode='weak', dw_mode='matrix', asm_obj=tangent_matrix) out[key] = tangent_matrix[ir, ic] else: tangent_matrix.data[:] = 0.0 self.evaluate(mode='weak', dw_mode='matrix', asm_obj=tangent_matrix) out = tangent_matrix return out class Equation(Struct): @staticmethod def from_desc(name, desc, variables, regions, materials, integrals, user=None): term_descs = parse_definition(desc) terms = Terms.from_desc(term_descs, regions, integrals) terms.setup() terms.assign_args(variables, materials, user) obj = Equation(name, terms) return obj def __init__(self, name, terms): Struct.__init__(self, name=name) if isinstance(terms, Term): # A single term. terms = Terms([terms]) self.terms = terms self.terms.setup() def collect_materials(self): """ Collect materials present in the terms of the equation. """ materials = [] for term in self.terms: materials.extend(term.get_materials(join=True)) return materials def collect_variables(self): """ Collect variables present in the terms of the equation. Ensures that corresponding primary variables of test/parameter variables are always in the list, even if they are not directly used in the terms. """ variables = [] for term in self.terms: var_names = term.get_variable_names() aux = term.get_args_by_name(var_names) for var in aux: variables.append(var) pvar = var.get_primary() if pvar is not None: variables.append(pvar) return variables def collect_conn_info(self, conn_info): for term in self.terms: key = (self.name,) + term.get_conn_key() conn_info[key] = term.get_conn_info() def evaluate(self, mode='eval', dw_mode='vector', term_mode=None, asm_obj=None): """ Parameters ---------- mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode. """ if mode == 'eval': val = 0.0 for term in self.terms: aux, status = term.evaluate(mode=mode, term_mode=term_mode, standalone=False, ret_status=True) val += aux out = val elif mode in ('el_avg', 'el', 'qp'): vals = [] for term in self.terms: val, iels, status = term.evaluate(mode=mode, term_mode=term_mode, standalone=False, ret_status=True) vals.append(val) if len(vals) == 1: vals = vals[0] out = vals elif mode == 'weak': if dw_mode == 'vector': for term in self.terms: val, iels, status = term.evaluate(mode=mode, term_mode=term_mode, standalone=False, ret_status=True) term.assemble_to(asm_obj, val, iels, mode=dw_mode) elif dw_mode == 'matrix': for term in self.terms: svars = term.get_state_variables(unknown_only=True) for svar in svars: val, iels, status = term.evaluate(mode=mode, term_mode=term_mode, diff_var=svar.name, standalone=False, ret_status=True) term.assemble_to(asm_obj, val, iels, mode=dw_mode, diff_var=svar) else: raise ValueError('unknown assembling mode! (%s)' % dw_mode) out = asm_obj else: raise ValueError('unknown evaluation mode! (%s)' % mode) return out sfepy-release_2015.1/sfepy/discrete/evaluate.py000066400000000000000000000323521247364230400215520ustar00rootroot00000000000000from copy import copy import numpy as nm from sfepy.base.base import output, get_default, OneTypeList, Struct, basestr from sfepy.discrete import Equations, Variables, Region, Integral, Integrals from sfepy.discrete.common.fields import setup_extra_data ## # 02.10.2007, c class Evaluator( Struct ): pass ## # 02.10.2007, c class BasicEvaluator( Evaluator ): def __init__(self, problem, matrix_hook=None): Evaluator.__init__(self, problem=problem, matrix_hook=matrix_hook) def new_ulf_iteration(self, nls, vec, it, err, err0): pb = self.problem vec = self.make_full_vec(vec) pb.equations.set_variables_from_state(vec) upd_vars = pb.conf.options.get('mesh_update_variables', None) for varname in upd_vars: try: state = pb.equations.variables[varname] except IndexError: msg = 'variable "%s" does not exist!' % varname raise KeyError( msg ) nods = state.field.get_dofs_in_region(state.field.region, merge=True) coors = pb.domain.get_mesh_coors().copy() vs = state() coors[nods,:] = coors[nods,:] + vs.reshape(len(nods), state.n_components) if pb.ts.step == 1 and it == 0: state.field.save_mappings() state.field.clear_mappings() pb.set_mesh_coors(coors, update_fields=False, actual=True, clear_all=False) def eval_residual( self, vec, is_full = False ): if not is_full: vec = self.make_full_vec( vec ) vec_r = self.problem.equations.eval_residuals(vec) return vec_r def eval_tangent_matrix( self, vec, mtx = None, is_full = False ): if isinstance(vec, basestr) and vec == 'linear': return get_default(mtx, self.problem.mtx_a) if not is_full: vec = self.make_full_vec( vec ) pb = self.problem if mtx is None: mtx = pb.mtx_a mtx = pb.equations.eval_tangent_matrices(vec, mtx) if self.matrix_hook is not None: mtx = self.matrix_hook(mtx, pb, call_mode='basic') return mtx def make_full_vec( self, vec ): return self.problem.equations.make_full_vec(vec) ## # 04.10.2007, c class LCBCEvaluator( BasicEvaluator ): ## # 04.10.2007, c def __init__(self, problem, matrix_hook=None): BasicEvaluator.__init__(self, problem, matrix_hook=matrix_hook) self.mtx_lcbc = problem.equations.get_lcbc_operator() ## # 04.10.2007, c def eval_residual( self, vec, is_full = False ): if not is_full: vec = self.make_full_vec( vec ) vec_r = BasicEvaluator.eval_residual( self, vec, is_full = True ) vec_rr = self.mtx_lcbc.T * vec_r return vec_rr ## # 04.10.2007, c def eval_tangent_matrix( self, vec, mtx = None, is_full = False ): if isinstance(vec, basestr) and vec == 'linear': return get_default(mtx, self.problem.mtx_a) if not is_full: vec = self.make_full_vec( vec ) mtx = BasicEvaluator.eval_tangent_matrix( self, vec, mtx = mtx, is_full = True ) mtx_r = self.mtx_lcbc.T * mtx * self.mtx_lcbc mtx_r = mtx_r.tocsr() mtx_r.sort_indices() ## import pylab ## from sfepy.base.plotutils import spy ## spy( mtx_r ) ## pylab.show() ## print mtx_r.__repr__() if self.matrix_hook is not None: mtx_r = self.matrix_hook(mtx_r, self.problem, call_mode='lcbc') return mtx_r def create_evaluable(expression, fields, materials, variables, integrals, regions=None, ebcs=None, epbcs=None, lcbcs=None, ts=None, functions=None, auto_init=False, mode='eval', extra_args=None, verbose=True, kwargs=None): """ Create evaluable object (equations and corresponding variables) from the `expression` string. Parameters ---------- expression : str The expression to evaluate. fields : dict The dictionary of fields used in `variables`. materials : Materials instance The materials used in the expression. variables : Variables instance The variables used in the expression. integrals : Integrals instance The integrals to be used. regions : Region instance or list of Region instances The region(s) to be used. If not given, the regions defined within the fields domain are used. ebcs : Conditions instance, optional The essential (Dirichlet) boundary conditions for 'weak' mode. epbcs : Conditions instance, optional The periodic boundary conditions for 'weak' mode. lcbcs : Conditions instance, optional The linear combination boundary conditions for 'weak' mode. ts : TimeStepper instance, optional The time stepper. functions : Functions instance, optional The user functions for boundary conditions, materials etc. auto_init : bool Set values of all variables to all zeros. mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode - 'weak' means the finite element assembling, 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. extra_args : dict, optional Extra arguments to be passed to terms in the expression. verbose : bool If False, reduce verbosity. kwargs : dict, optional The variables (dictionary of (variable name) : (Variable instance)) to be used in the expression. Returns ------- equation : Equation instance The equation that is ready to be evaluated. variables : Variables instance The variables used in the equation. """ if kwargs is None: kwargs = {} if regions is not None: if isinstance(regions, Region): regions = [regions] regions = OneTypeList(Region, regions) else: regions = fields[fields.keys()[0]].domain.regions # Create temporary variables. aux_vars = Variables(variables) if extra_args is None: extra_args = kwargs else: extra_args = copy(extra_args) extra_args.update(kwargs) if ts is not None: extra_args.update({'ts' : ts}) equations = Equations.from_conf({'tmp' : expression}, aux_vars, regions, materials, integrals, user=extra_args, verbose=verbose) equations.collect_conn_info() # The true variables used in the expression. variables = equations.variables if auto_init: for var in variables: var.init_data(step=0) if mode == 'weak': equations.time_update(ts, ebcs, epbcs, lcbcs, functions, verbose=verbose) else: setup_extra_data(equations.conn_info) return equations, variables def eval_equations(equations, variables, names=None, preserve_caches=False, mode='eval', dw_mode='vector', term_mode=None, verbose=True): """ Evaluate the equations. Parameters ---------- equations : Equations instance The equations returned by :func:`create_evaluable()`. variables : Variables instance The variables returned by :func:`create_evaluable()`. names : str or sequence of str, optional Evaluate only equations of the given name(s). preserve_caches : bool If True, do not invalidate evaluate caches of variables. mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode - 'weak' means the finite element assembling, 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. dw_mode : 'vector' or 'matrix' The assembling mode for 'weak' evaluation mode. term_mode : str The term call mode - some terms support different call modes and depending on the call mode different values are returned. verbose : bool If False, reduce verbosity. Returns ------- out : dict or result The evaluation result. In 'weak' mode it is the vector or sparse matrix, depending on `dw_mode`. Otherwise, it is a dict of results with equation names as keys or a single result for a single equation. """ asm_obj = None if mode == 'weak': if dw_mode == 'vector': asm_obj = equations.create_stripped_state_vector() else: asm_obj = equations.create_matrix_graph(verbose=verbose) if not preserve_caches: equations.invalidate_term_caches() out = equations.evaluate(names=names, mode=mode, dw_mode=dw_mode, term_mode=term_mode, asm_obj=asm_obj) if variables.has_lcbc and mode == 'weak': mtx_lcbc = variables.mtx_lcbc if dw_mode == 'vector': out = mtx_lcbc.T * out elif dw_mode == 'matrix': out = mtx_lcbc.T * out * mtx_lcbc out = out.tocsr() out.sort_indices() return out def eval_in_els_and_qp(expression, ig, iels, coors, fields, materials, variables, functions=None, mode='eval', term_mode=None, extra_args=None, verbose=True, kwargs=None): """ Evaluate an expression in given elements and points. Parameters ---------- expression : str The expression to evaluate. fields : dict The dictionary of fields used in `variables`. materials : Materials instance The materials used in the expression. variables : Variables instance The variables used in the expression. functions : Functions instance, optional The user functions for materials etc. mode : one of 'eval', 'el_avg', 'qp' The evaluation mode - 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. term_mode : str The term call mode - some terms support different call modes and depending on the call mode different values are returned. extra_args : dict, optional Extra arguments to be passed to terms in the expression. verbose : bool If False, reduce verbosity. kwargs : dict, optional The variables (dictionary of (variable name) : (Variable instance)) to be used in the expression. Returns ------- out : array The result of the evaluation. """ weights = nm.ones_like(coors[:, 0]) integral = Integral('ie', coors=coors, weights=weights) domain = fields.values()[0].domain region = Region('Elements', 'given elements', domain, '') region.cells = iels + domain.mesh.el_offsets[ig] region.update_shape() domain.regions.append(region) for field in fields.itervalues(): field.clear_mappings(clear_all=True) for ap in field.aps.itervalues(): ap.clear_qp_base() aux = create_evaluable(expression, fields, materials, variables.itervalues(), Integrals([integral]), functions=functions, mode=mode, extra_args=extra_args, verbose=verbose, kwargs=kwargs) equations, variables = aux out = eval_equations(equations, variables, preserve_caches=False, mode=mode, term_mode=term_mode) domain.regions.pop() return out def assemble_by_blocks(conf_equations, problem, ebcs=None, epbcs=None, dw_mode='matrix'): """Instead of a global matrix, return its building blocks as defined in `conf_equations`. The name and row/column variables of each block have to be encoded in the equation's name, as in:: conf_equations = { 'A,v,u' : "dw_lin_elastic_iso.i1.Y2( inclusion.lame, v, u )", } Notes ----- `ebcs`, `epbcs` must be either lists of BC names, or BC configuration dictionaries. """ if isinstance( ebcs, list ) and isinstance( epbcs, list ): bc_mode = 0 elif isinstance( ebcs, dict ) and isinstance( epbcs, dict ): bc_mode = 1 else: raise TypeError('bad BC!') matrices = {} for key, mtx_term in conf_equations.iteritems(): ks = key.split( ',' ) mtx_name, var_names = ks[0], ks[1:] output( mtx_name, var_names ) problem.set_equations({'eq': mtx_term}) variables = problem.get_variables() indx = variables.get_indx if bc_mode == 0: problem.select_bcs( ebc_names = ebcs, epbc_names = epbcs ) else: problem.time_update(ebcs=ebcs, epbcs=epbcs) ir = indx( var_names[0], stripped = True, allow_dual = True ) ic = indx( var_names[1], stripped = True, allow_dual = True ) problem.update_materials() mtx = problem.evaluate(mtx_term, auto_init=True, mode='weak', dw_mode='matrix', copy_materials=False) matrices[mtx_name] = mtx[ir,ic] return matrices sfepy-release_2015.1/sfepy/discrete/evaluate_variable.py000066400000000000000000000063051247364230400234160ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.terms.extmods import terms def eval_real(vec, conn, geo, mode, shape, bf=None): """ Evaluate basic derived quantities of a real variable given its DOF vector, connectivity and reference mapping. """ n_el, n_qp, dim, n_en, n_comp = shape dtype = nm.float64 if mode == 'val': function = terms.dq_state_in_qp out = nm.empty((n_el, n_qp, n_comp, 1), dtype=dtype) if bf is not None: function(out, vec, bf, conn) else: function(out, vec, geo.bf, conn) elif mode == 'grad': function = terms.dq_grad out = nm.empty((n_el, n_qp, dim, n_comp), dtype=dtype) function(out, vec, geo, conn) elif mode == 'div': assert_(n_comp == dim) function = terms.dq_div_vector out = nm.empty((n_el, n_qp, 1, 1), dtype=dtype) function(out, vec, geo, conn) elif mode == 'cauchy_strain': assert_(n_comp == dim) function = terms.dq_cauchy_strain sym = (dim + 1) * dim / 2 out = nm.empty((n_el, n_qp, sym, 1), dtype=dtype) function(out, vec, geo, conn) else: raise ValueError('unsupported variable evaluation mode! (%s)' % mode) return out def eval_complex(vec, conn, geo, mode, shape, bf=None): """ Evaluate basic derived quantities of a complex variable given its DOF vector, connectivity and reference mapping. """ n_el, n_qp, dim, n_en, n_comp = shape if mode == 'val': function = terms.dq_state_in_qp rout = nm.empty((n_el, n_qp, n_comp, 1), dtype=nm.float64) iout = nm.empty((n_el, n_qp, n_comp, 1), dtype=nm.float64) if bf is not None: function(rout, vec.real.copy(), bf, conn) function(iout, vec.imag.copy(), bf, conn) else: function(rout, vec.real.copy(), geo.bf, conn) function(iout, vec.imag.copy(), geo.bf, conn) out = rout + 1j * iout elif mode == 'grad': function = terms.dq_grad rout = nm.empty((n_el, n_qp, dim, n_comp), dtype=nm.float64) iout = nm.empty((n_el, n_qp, dim, n_comp), dtype=nm.float64) function(rout, vec.real.copy(), geo, conn) function(iout, vec.imag.copy(), geo, conn) out = rout + 1j * iout elif mode == 'div': assert_(n_comp == dim) function = terms.dq_div_vector rout = nm.empty((n_el, n_qp, 1, 1), dtype=nm.float64) iout = nm.empty((n_el, n_qp, 1, 1), dtype=nm.float64) function(rout, vec.real.copy(), geo, conn) function(iout, vec.imag.copy(), geo, conn) out = rout + 1j * iout elif mode == 'cauchy_strain': assert_(n_comp == dim) function = terms.dq_cauchy_strain sym = (dim + 1) * dim / 2 rout = nm.empty((n_el, n_qp, sym, 1), dtype=nm.float64) iout = nm.empty((n_el, n_qp, sym, 1), dtype=nm.float64) function(rout, vec.real.copy(), geo, conn) function(iout, vec.imag.copy(), geo, conn) out = rout + 1j * iout else: raise ValueError('unsupported variable evaluation mode! (%s)' % mode) return out sfepy-release_2015.1/sfepy/discrete/fem/000077500000000000000000000000001247364230400201345ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/fem/__init__.py000066400000000000000000000004751247364230400222530ustar00rootroot00000000000000try: from extmods import * except (ImportError, AttributeError): print 'sfepy extension modules may not be compiled!\nTry typing "make".' raise from mesh import Mesh from domain import FEDomain from fields_base import Field from sfepy.discrete.fem.meshio import MeshIO from utils import extend_cell_data sfepy-release_2015.1/sfepy/discrete/fem/domain.py000066400000000000000000000245151247364230400217640ustar00rootroot00000000000000""" Computational domain, consisting of the mesh and regions. """ import time import numpy as nm from sfepy.base.base import output, Struct from geometry_element import GeometryElement from sfepy.discrete.common.domain import Domain from sfepy.discrete.fem.refine import refine_2_3, refine_2_4, refine_3_4, refine_3_8 from sfepy.discrete.fem.fe_surface import FESurface from sfepy.discrete.fem.mesh import make_inverse_connectivity import fea class FEDomain(Domain): """ Domain is divided into groups, whose purpose is to have homogeneous data shapes. """ def __init__(self, name, mesh, verbose=False, **kwargs): """Create a Domain. Parameters ---------- name : str Object name. mesh : Mesh A mesh defining the domain. """ Domain.__init__(self, name, mesh=mesh, verbose=verbose, **kwargs) self.geom_els = geom_els = {} for ig, desc in enumerate(mesh.descs): gel = GeometryElement(desc) if gel.dim > 1: # Create geometry elements of dimension - 1. gel.create_surface_facet() geom_els[desc] = gel self.geom_interps = interps = {} for gel in geom_els.itervalues(): key = gel.get_interpolation_name() gel.interp = interps.setdefault(key, fea.Interpolant(key, gel)) gel = gel.surface_facet if gel is not None: key = gel.get_interpolation_name() gel.interp = interps.setdefault(key, fea.Interpolant(key, gel)) self.vertex_set_bcs = self.mesh.nodal_bcs self.mat_ids_to_i_gs = {} for ig, mat_id in enumerate(mesh.mat_ids): self.mat_ids_to_i_gs[mat_id[0]] = ig n_nod, dim = self.mesh.coors.shape self.shape = Struct(n_nod=n_nod, dim=dim, tdim=0, n_el=0, n_gr=len(self.mesh.conns)) self.setup_groups() self.fix_element_orientation() self.reset_regions() self.clear_surface_groups() from sfepy.discrete.fem.geometry_element import create_geometry_elements from sfepy.discrete.fem.extmods.cmesh import CMesh self.cmesh = CMesh.from_mesh(mesh) gels = create_geometry_elements() self.cmesh.set_local_entities(gels) self.cmesh.setup_entities() self.shape.tdim = self.cmesh.tdim self.cell_offsets = self.mesh.el_offsets def setup_groups(self): self.groups = {} for ii in range(self.shape.n_gr): gel = self.geom_els[self.mesh.descs[ii]] # Shortcut. conn = self.mesh.conns[ii] vertices = nm.unique(conn) n_vertex = vertices.shape[0] n_el, n_ep = conn.shape n_edge = gel.n_edge n_edge_total = n_edge * n_el if gel.dim == 3: n_face = gel.n_face n_face_total = n_face * n_el else: n_face = n_face_total = 0 shape = Struct(n_vertex=n_vertex, n_el=n_el, n_ep=n_ep, n_edge=n_edge, n_edge_total=n_edge_total, n_face=n_face, n_face_total=n_face_total, dim=self.mesh.dims[ii]) self.groups[ii] = Struct(ig=ii, vertices=vertices, conn=conn, gel=gel, shape=shape) self.shape.n_el += n_el def iter_groups(self, igs=None): if igs is None: for ig in xrange(self.shape.n_gr): # sorted by ig. yield self.groups[ig] else: for ig in igs: yield ig, self.groups[ig] def get_cell_offsets(self): offs = {} for ig in range(self.shape.n_gr): offs[ig] = self.cell_offsets[ig] return offs def get_mesh_coors(self, actual=False): """ Return the coordinates of the underlying mesh vertices. """ if actual and hasattr(self.mesh, 'coors_act'): return self.mesh.coors_act else: return self.mesh.coors def get_mesh_bounding_box(self): """ Return the bounding box of the underlying mesh. Returns ------- bbox : ndarray (2, dim) The bounding box with min. values in the first row and max. values in the second row. """ return self.mesh.get_bounding_box() def get_diameter(self): """ Return the diameter of the domain. Notes ----- The diameter corresponds to the Friedrichs constant. """ bbox = self.get_mesh_bounding_box() return (bbox[1,:] - bbox[0,:]).max() def fix_element_orientation(self): """ Ensure element nodes ordering giving positive element volume. The groups with elements of lower dimension than the space dimension are skipped. """ from extmods.cmesh import orient_elements coors = self.mesh.coors for ii, group in self.groups.iteritems(): if group.shape.dim < self.shape.dim: continue ori, conn = group.gel.orientation, group.conn itry = 0 while itry < 2: flag = -nm.ones(conn.shape[0], dtype=nm.int32) # Changes orientation if it is wrong according to swap*! # Changes are indicated by positive flag. orient_elements(flag, conn, coors, ori.roots, ori.vecs, ori.swap_from, ori.swap_to) if nm.alltrue(flag == 0): if itry > 0: output('...corrected') itry = -1 break output('warning: bad element orientation, trying to correct...') itry += 1 if itry == 2 and flag[0] != -1: raise RuntimeError('elements cannot be oriented! (%d, %s)' % (ii, self.mesh.descs[ii])) elif flag[0] == -1: output('warning: element orienation not checked') def get_element_diameters(self, ig, cells, vg, mode, square=True): group = self.groups[ig] diameters = nm.empty((len(cells), 1, 1, 1), dtype=nm.float64) if vg is None: diameters.fill(1.0) else: vg.get_element_diameters(diameters, group.gel.edges, self.get_mesh_coors().copy(), group.conn, cells.astype(nm.int32), mode) if square: out = diameters.squeeze() else: out = nm.sqrt(diameters.squeeze()) return out def get_evaluate_cache(self, cache=None, share_geometry=False): """ Get the evaluate cache for :func:`Variable.evaluate_at() `. Parameters ---------- cache : Struct instance, optional Optionally, use the provided instance to store the cache data. share_geometry : bool Set to True to indicate that all the probes will work on the same domain. Certain data are then computed only for the first probe and cached. Returns ------- cache : Struct instance The evaluate cache. """ try: from scipy.spatial import cKDTree as KDTree except ImportError: from scipy.spatial import KDTree if cache is None: cache = Struct(name='evaluate_cache') tt = time.clock() if (cache.get('iconn', None) is None) or not share_geometry: mesh = self.mesh offsets, iconn = make_inverse_connectivity(mesh.conns, mesh.n_nod, ret_offsets=True) ii = nm.where(offsets[1:] == offsets[:-1])[0] if len(ii): raise ValueError('some vertices not in any element! (%s)' % ii) cache.offsets = offsets cache.iconn = iconn output('iconn: %f s' % (time.clock()-tt)) tt = time.clock() if (cache.get('kdtree', None) is None) or not share_geometry: cache.kdtree = KDTree(mesh.coors) output('kdtree: %f s' % (time.clock()-tt)) return cache def clear_surface_groups(self): """ Remove surface group data. """ self.surface_groups = {} def create_surface_group(self, region): """ Create a new surface group corresponding to `region` if it does not exist yet. Notes ----- Surface groups define surface facet connectivity that is needed for :class:`sfepy.discrete.fem.mappings.SurfaceMapping`. """ for ig in region.igs: groups = self.surface_groups.setdefault(ig, {}) if region.name not in groups: group = self.groups[ig] gel_faces = group.gel.get_surface_entities() name = 'surface_group_%s_%d' % (region.name, ig) surface_group = FESurface(name, region, gel_faces, group.conn, ig) groups[region.name] = surface_group def refine(self): """ Uniformly refine the domain mesh. Returns ------- domain : FEDomain instance The new domain with the refined mesh. Notes ----- Works only for meshes with single element type! Does not preserve node groups! """ names = set() for group in self.groups.itervalues(): names.add(group.gel.name) if len(names) != 1: msg = 'refine() works only for meshes with single element type!' raise NotImplementedError(msg) el_type = names.pop() if el_type == '2_3': mesh = refine_2_3(self.mesh, self.cmesh) elif el_type == '2_4': mesh = refine_2_4(self.mesh, self.cmesh) elif el_type == '3_4': mesh = refine_3_4(self.mesh, self.cmesh) elif el_type == '3_8': mesh = refine_3_8(self.mesh, self.cmesh) else: msg = 'unsupported element type! (%s)' % el_type raise NotImplementedError(msg) domain = FEDomain(self.name + '_r', mesh) return domain sfepy-release_2015.1/sfepy/discrete/fem/extmods/000077500000000000000000000000001247364230400216175ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/fem/extmods/__init__.py000066400000000000000000000000651247364230400237310ustar00rootroot00000000000000__all__ = ['assemble', 'bases', 'mappings', 'cmesh'] sfepy-release_2015.1/sfepy/discrete/fem/extmods/_fmfield.pxd000066400000000000000000000166121247364230400241070ustar00rootroot00000000000000# -*- Mode: Python -*- from libc.stdio cimport FILE, stdout cimport numpy as np import numpy as np from types cimport int32, uint32, float64 cdef extern from "fmfield.h": ctypedef struct FMField: int32 nCell int32 nLev int32 nRow int32 nCol float64 *val0 float64 *val int32 nAlloc int32 cellSize int32 offset int32 nColFull cdef int32 fmf_alloc(FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol) cdef int32 fmf_createAlloc(FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol) cdef int32 fmf_createAllocInit(FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *val) cdef int32 fmf_createAllocCopy(FMField **p_obj, FMField *obj) cdef int32 fmf_free(FMField *obj) cdef int32 fmf_freeDestroy(FMField **p_obj) cdef int32 fmf_pretend(FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data) cdef int32 fmf_pretend_nc(FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data) cdef int32 fmfr_pretend(FMField *obj, int32 nLev, int32 nRow, int32 nCol, float64 *data, int32 offset, int32 nColFull) cdef int32 fmf_print(FMField *obj, FILE *file, int32 mode) cdef int32 fmf_fillC(FMField *obj, float64 val) cdef int32 fmfr_fillC(FMField *obj, float64 val) cdef int32 fmfc_fillC(FMField *obj, float64 val) cdef int32 fmfc_fill(FMField *obj, float64 *val) cdef int32 fmf_mulC(FMField *obj, float64 val) cdef int32 fmfc_mulC(FMField *obj, float64 val) cdef int32 fmf_mul(FMField *obj, float64 *val) cdef int32 fmf_mulAC(FMField *objR, FMField *objA, float64 val) cdef int32 fmf_mulAF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmf_mulATF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmf_mulAB_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulAB_n1(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulAB_1n(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulATB_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulATB_1n(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulABT_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulATBT_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_mulATBT_1n(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_addAB_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_subAB_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmfc_addAB_nn(FMField *objR, FMField *objA, FMField *objB) cdef int32 fmf_averageCACB(FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB) cdef int32 fmfc_averageCACB(FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB) cdef int32 fmfc_normalize(FMField *objR, FMField *objA) cdef int32 fmf_addAmulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmfc_addAmulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmf_copyAmulC(FMField *objR, FMField *objA, float64 val) cdef int32 fmfc_copyAmulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmfr_addA_blockNC(FMField *objR, FMField *objA, int32 row, int32 col) cdef int32 fmfr_addAT_blockNC(FMField *objR, FMField *objA, int32 row, int32 col) cdef int32 fmf_sumLevelsMulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmf_sumLevelsTMulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmfr_sumLevelsMulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmfr_sumLevelsTMulF(FMField *objR, FMField *objA, float64 *val) cdef int32 fmf_copy(FMField *objR, FMField *objA) cdef int32 fmfr_copy(FMField *objR, FMField *objA) cdef int32 fmfc_copy(FMField *objR, FMField *objA) cdef int32 fmf_print(FMField *obj, FILE *file, int32 mode) cdef int32 fmfr_print(FMField *obj, FILE *file, int32 mode) cdef int32 fmf_save(FMField *obj, char *fileName, int32 mode) cdef int32 fmfr_save(FMField *obj, char *fileName, int32 mode) cdef int32 fmfc_save(FMField *obj, char *fileName, int32 mode) cdef int32 fmf_gMtx2VecDUL3x3(FMField *objR, FMField *objA) cdef int32 fmf_gMtx2VecDLU3x3(FMField *objR, FMField *objA) cdef void FMF_SetCell(FMField *obj, int ii) cdef float64 *FMF_PtrLevel(FMField *obj, int ii) cdef extern from "geommech.h": cdef int32 geme_invert3x3(FMField *mtxI, FMField *mtx) cdef int32 geme_invert4x4(FMField *mtxI, FMField *mtx) cdef int32 geme_tensor2vectorS3(FMField *vec, FMField *mtx) cdef int32 geme_det3x3(float64 *det, FMField *mtx) cdef int32 geme_trace3x3(float64 *tr, FMField *mtx) cdef int32 geme_norm3(float64 *out, FMField *mtx) cdef int32 geme_eig3x3(float64 *out, FMField *mtx) cdef int32 geme_mulAVSB3(FMField *out, FMField *vs, FMField *_in) cdef int32 geme_mulT2ST2S_T4S_ikjl(FMField *t4, FMField *t21, FMField *t22) cdef int32 geme_mulT2ST2S_T4S_iljk(FMField *t4, FMField *t21, FMField *t22) cdef int32 geme_mulT2S_AA(FMField *R, FMField *A) cdef int32 geme_elementVolume(float64 *volume, float64 *jacobian, int32 nQP) cdef int32 geme_buildOpOmega_VS3(float64 *pomega, float64 *pdir, int32 nItem, int32 dim, int32 sym) cdef int32 geme_projectToDir(float64 *pdef, float64 *pomega, float64 *pstrain, int32 nItem, int32 size) cdef int32 bf_act(FMField *out, FMField *bf, FMField *_in) cdef int32 bf_ract(FMField *out, FMField *bf, FMField *_in) cdef int32 bf_actt(FMField *out, FMField *bf, FMField *_in) cdef int32 bf_actt_c1(FMField *out, FMField *bf, FMField *_in) cdef int32 bf_buildFTF(FMField *ftf, FMField *ftf1) cdef int32 geme_invar1(float64 *invar, FMField *mtx) cdef int32 geme_invar2(float64 *invar, FMField *mtx) cdef void debug_printConn(int32 *conn, int32 nEP) cdef int32 ele_extractNodalValuesNBN(FMField *out, FMField *_in, int32 *conn) cdef int32 ele_extractNodalValuesDBD(FMField *out, FMField *_in, int32 *conn) cdef int array2fmfield4(FMField *out, np.ndarray[float64, mode='c', ndim=4] arr) except -1 cdef int array2fmfield3(FMField *out, np.ndarray[float64, mode='c', ndim=3] arr) except -1 cdef int array2fmfield2(FMField *out, np.ndarray[float64, mode='c', ndim=2] arr) except -1 cdef int array2fmfield1(FMField *out, np.ndarray[float64, mode='c', ndim=1] arr) except -1 cdef int array2pint2(int32 **out, int32 *n_row, int32 *n_col, np.ndarray[int32, mode='c', ndim=2] arr) except -1 cdef int array2pint1(int32 **out, int32 *n_row, np.ndarray[int32, mode='c', ndim=1] arr) except -1 cdef int array2puint2(uint32 **out, uint32 *n_row, uint32 *n_col, np.ndarray[uint32, mode='c', ndim=2] arr) except -1 cdef int array2puint1(uint32 **out, uint32 *n_row, np.ndarray[uint32, mode='c', ndim=1] arr) except -1 sfepy-release_2015.1/sfepy/discrete/fem/extmods/_fmfield.pyx000066400000000000000000000052341247364230400241320ustar00rootroot00000000000000# -*- Mode: Python -*- cimport cython @cython.boundscheck(False) cdef inline int array2fmfield4(FMField *out, np.ndarray[float64, mode='c', ndim=4] arr) \ except -1: cdef int32 n_cell, n_lev, n_row, n_col cdef int32 ii sh = arr.shape n_cell, n_lev, n_row, n_col = sh[0], sh[1], sh[2], sh[3] out.nAlloc = -1 fmf_pretend(out, n_cell, n_lev, n_row, n_col, &arr[0, 0, 0, 0]) @cython.boundscheck(False) cdef inline int array2fmfield3(FMField *out, np.ndarray[float64, mode='c', ndim=3] arr) \ except -1: cdef int32 n_cell = 1, n_lev, n_row, n_col cdef int32 ii sh = arr.shape n_lev, n_row, n_col = sh[0], sh[1], sh[2] out.nAlloc = -1 fmf_pretend(out, n_cell, n_lev, n_row, n_col, &arr[0, 0, 0]) @cython.boundscheck(False) cdef inline int array2fmfield2(FMField *out, np.ndarray[float64, mode='c', ndim=2] arr) \ except -1: cdef int32 n_cell = 1, n_lev = 1, n_row, n_col cdef int32 ii sh = arr.shape n_row, n_col = sh[0], sh[1] out.nAlloc = -1 fmf_pretend(out, n_cell, n_lev, n_row, n_col, &arr[0, 0]) @cython.boundscheck(False) cdef inline int array2fmfield1(FMField *out, np.ndarray[float64, mode='c', ndim=1] arr) \ except -1: cdef int32 n_cell = 1, n_lev = 1, n_row = 1, n_col cdef int32 ii sh = arr.shape n_col = sh[0] out.nAlloc = -1 fmf_pretend(out, n_cell, n_lev, n_row, n_col, &arr[0]) @cython.boundscheck(False) cdef inline int array2pint2(int32 **out, int32 *n_row, int32 *n_col, np.ndarray[int32, mode='c', ndim=2] arr) \ except -1: out[0] = &arr[0, 0] n_row[0] = arr.shape[0] n_col[0] = arr.shape[1] @cython.boundscheck(False) cdef inline int array2pint1(int32 **out, int32 *n_row, np.ndarray[int32, mode='c', ndim=1] arr) \ except -1: out[0] = &arr[0] n_row[0] = arr.shape[0] @cython.boundscheck(False) cdef inline int array2puint2(uint32 **out, uint32 *n_row, uint32 *n_col, np.ndarray[uint32, mode='c', ndim=2] arr) \ except -1: out[0] = &arr[0, 0] n_row[0] = arr.shape[0] n_col[0] = arr.shape[1] @cython.boundscheck(False) cdef inline int array2puint1(uint32 **out, uint32 *n_row, np.ndarray[uint32, mode='c', ndim=1] arr) \ except -1: out[0] = &arr[0] n_row[0] = arr.shape[0] sfepy-release_2015.1/sfepy/discrete/fem/extmods/_geommech.pxd000066400000000000000000000003501247364230400242550ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level functions. """ from sfepy.discrete.fem.extmods._fmfield cimport FMField from types cimport int32 cdef extern from 'geommech.h': int32 geme_mulAVSB3(FMField *out, FMField *vs, FMField *inp) sfepy-release_2015.1/sfepy/discrete/fem/extmods/_geommech.pyx000066400000000000000000000011271247364230400243050ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level functions. """ cimport cython cimport sfepy.discrete.fem.extmods._geommech as gmch from types cimport int32 from sfepy.discrete.fem.extmods._fmfield cimport (FMField, array2fmfield4) cimport numpy as np import numpy as np def geme_mulAVSB3py(np.ndarray vs not None, np.ndarray inp not None): cdef int32 ret cdef FMField _out[1], _vs[1], _inp[1] out = np.zeros_like(inp) array2fmfield4(_out, out) array2fmfield4(_vs, vs) array2fmfield4(_inp, inp) ret = gmch.geme_mulAVSB3(_out, _vs, _inp) return out, ret sfepy-release_2015.1/sfepy/discrete/fem/extmods/assemble.pyx000066400000000000000000000147501247364230400241630ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level finite element assembling functions. """ cimport cython import numpy as np cimport numpy as np from types cimport int32, float64, complex128 @cython.boundscheck(False) def assemble_vector(np.ndarray[float64, mode='c', ndim=1] vec not None, np.ndarray[float64, mode='c', ndim=4] vec_in_els not None, np.ndarray[int32, mode='c', ndim=1] iels not None, float64 sign, np.ndarray[int32, mode='c', ndim=2] conn not None): cdef int32 ii, iel, ir, irg cdef int32 num = iels.shape[0] cdef int32 n_ep = conn.shape[1] # Allow both row or column vectors. cdef int32 cell_size = vec_in_els.shape[2] * vec_in_els.shape[3] cdef int32 *pconn0, *pconn cdef int32 *piels = &iels[0] cdef float64 *val = &vec[0] cdef float64 *vec_in_el0, *vec_in_el assert num == vec_in_els.shape[0] pconn0 = &conn[0, 0] vec_in_el0 = &vec_in_els[0, 0, 0, 0] for ii in range(0, num): iel = piels[ii] pconn = pconn0 + iel * n_ep vec_in_el = vec_in_el0 + ii * cell_size for ir in range(0, n_ep): irg = pconn[ir] if irg < 0: continue val[irg] += sign * vec_in_el[ir] @cython.boundscheck(False) def assemble_vector_complex(np.ndarray[complex128, mode='c', ndim=1] vec not None, np.ndarray[complex128, mode='c', ndim=4] vec_in_els not None, np.ndarray[int32, mode='c', ndim=1] iels not None, complex128 sign, np.ndarray[int32, mode='c', ndim=2] conn not None): cdef int32 ii, iel, ir, irg cdef int32 num = iels.shape[0] cdef int32 n_ep = conn.shape[1] # Allow both row or column vectors. cdef int32 cell_size = vec_in_els.shape[2] * vec_in_els.shape[3] cdef int32 *pconn0, *pconn cdef int32 *piels = &iels[0] cdef complex128 *val = &vec[0] cdef complex128 *vec_in_el0, *vec_in_el assert num == vec_in_els.shape[0] pconn0 = &conn[0, 0] vec_in_el0 = &vec_in_els[0, 0, 0, 0] for ii in range(0, num): iel = piels[ii] pconn = pconn0 + iel * n_ep vec_in_el = vec_in_el0 + ii * cell_size for ir in range(0, n_ep): irg = pconn[ir] if irg < 0: continue val[irg] += sign * vec_in_el[ir] @cython.boundscheck(False) def assemble_matrix(np.ndarray[float64, mode='c', ndim=1] mtx not None, np.ndarray[int32, mode='c', ndim=1] prows not None, np.ndarray[int32, mode='c', ndim=1] cols not None, np.ndarray[float64, mode='c', ndim=4] mtx_in_els not None, np.ndarray[int32, mode='c', ndim=1] iels not None, float64 sign, np.ndarray[int32, mode='c', ndim=2] row_conn not None, np.ndarray[int32, mode='c', ndim=2] col_conn not None): cdef int32 ii, iel, ir, ic, irg, icg, ik, iloc cdef int32 num = iels.shape[0] cdef int32 n_epr = row_conn.shape[1] cdef int32 n_epc = col_conn.shape[1] cdef int32 cell_size = mtx_in_els.shape[2] * mtx_in_els.shape[3] cdef int32 *prow_conn0, *pcol_conn0, *prow_conn, *pcol_conn cdef int32 *piels = &iels[0] cdef int32 *_prows = &prows[0] cdef int32 *_cols = &cols[0] cdef float64 *val = &mtx[0] cdef float64 *mtx_in_el0, *mtx_in_el assert num == mtx_in_els.shape[0] prow_conn0 = &row_conn[0, 0] pcol_conn0 = &col_conn[0, 0] mtx_in_el0 = &mtx_in_els[0, 0, 0, 0] for ii in range(0, num): iel = piels[ii] prow_conn = prow_conn0 + iel * n_epr pcol_conn = pcol_conn0 + iel * n_epc mtx_in_el = mtx_in_el0 + ii * cell_size for ir in range(0, n_epr): irg = prow_conn[ir] if irg < 0: continue for ic in range(0, n_epc): icg = pcol_conn[ic] if icg < 0: continue iloc = n_epc * ir + ic for ik in range(_prows[irg], _prows[irg + 1]): if _cols[ik] == icg: val[ik] += sign * mtx_in_el[iloc] break else: msg = 'matrix item (%d, %d) does not exist!' % (irg, icg) raise IndexError(msg) @cython.boundscheck(False) def assemble_matrix_complex(np.ndarray[complex128, mode='c', ndim=1] mtx not None, np.ndarray[int32, mode='c', ndim=1] prows not None, np.ndarray[int32, mode='c', ndim=1] cols not None, np.ndarray[complex128, mode='c', ndim=4] mtx_in_els not None, np.ndarray[int32, mode='c', ndim=1] iels not None, complex128 sign, np.ndarray[int32, mode='c', ndim=2] row_conn not None, np.ndarray[int32, mode='c', ndim=2] col_conn not None): cdef int32 ii, iel, ir, ic, irg, icg, ik, iloc cdef int32 num = iels.shape[0] cdef int32 n_epr = row_conn.shape[1] cdef int32 n_epc = col_conn.shape[1] cdef int32 cell_size = mtx_in_els.shape[2] * mtx_in_els.shape[3] cdef int32 *prow_conn0, *pcol_conn0, *prow_conn, *pcol_conn cdef int32 *piels = &iels[0] cdef int32 *_prows = &prows[0] cdef int32 *_cols = &cols[0] cdef complex128 *val = &mtx[0] cdef complex128 *mtx_in_el0, *mtx_in_el assert num == mtx_in_els.shape[0] prow_conn0 = &row_conn[0, 0] pcol_conn0 = &col_conn[0, 0] mtx_in_el0 = &mtx_in_els[0, 0, 0, 0] for ii in range(0, num): iel = piels[ii] prow_conn = prow_conn0 + iel * n_epr pcol_conn = pcol_conn0 + iel * n_epc mtx_in_el = mtx_in_el0 + ii * cell_size for ir in range(0, n_epr): irg = prow_conn[ir] if irg < 0: continue for ic in range(0, n_epc): icg = pcol_conn[ic] if icg < 0: continue iloc = n_epc * ir + ic for ik in range(_prows[irg], _prows[irg + 1]): if _cols[ik] == icg: val[ik] += sign * mtx_in_el[iloc] break else: msg = 'matrix item (%d, %d) does not exist!' % (irg, icg) raise IndexError(msg) sfepy-release_2015.1/sfepy/discrete/fem/extmods/bases.pyx000066400000000000000000000451631247364230400234670ustar00rootroot00000000000000# -*- Mode: Python -*- """ Polynomial base functions and related utilities. """ cimport cython cimport numpy as np import numpy as np cimport _fmfield as _f from _fmfield cimport FMField from types cimport int32, float64, complex128 cdef extern from 'math.h': cdef float64 sqrt(float x) cdef extern from 'common.h': void *pyalloc(size_t size) void pyfree(void *pp) int Max_i 'Max'(int a, int b) double Max_f 'Max'(double a, double b) double Min_f 'Min'(double a, double b) cdef extern from 'lagrange.h': int32 _get_barycentric_coors \ 'get_barycentric_coors'(FMField *bc, FMField *coors, FMField *mtx_i, float64 eps, int32 check_errors) int32 _get_xi_simplex \ 'get_xi_simplex'(FMField *xi, FMField *bc, FMField *dest_point, FMField *ref_coors, FMField *e_coors) int32 _get_xi_tensor \ 'get_xi_tensor'(FMField *xi, FMField *dest_point, FMField *e_coors, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, float64 vmin, float64 vmax, int32 i_max, float64 newton_eps) int32 _eval_lagrange_simplex \ 'eval_lagrange_simplex'(FMField *out, FMField *bc, FMField *mtx_i, int32 *nodes, int32 n_col, int32 order, int32 diff) int32 _eval_lagrange_tensor_product \ 'eval_lagrange_tensor_product'(FMField *out, FMField *bc, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, int32 order, int32 diff) @cython.boundscheck(False) def get_barycentric_coors(np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[float64, mode='c', ndim=2] mtx_i not None, float64 eps=1e-8, int check_errors=False): """ Get barycentric (area in 2D, volume in 3D) coordinates of points. Parameters ---------- coors : array The coordinates of the points, shape `(n_coor, dim)`. mtx_i : array The inverse of simplex coordinates matrix, shape `(dim + 1, dim + 1)`. eps : float The tolerance for snapping out-of-simplex point back to the simplex. check_errors : bool If True, raise ValueError if a barycentric coordinate is outside the snap interval `[-eps, 1 + eps]`. Returns ------- bc : array The barycentric coordinates, shape `(n_coor, dim + 1)`. Then reference element coordinates `xi = dot(bc, ref_coors)`. """ cdef int n_coor = coors.shape[0] cdef int n_v = mtx_i.shape[0] cdef FMField _bc[1], _coors[1], _mtx_i[1] cdef np.ndarray[float64, ndim=2] bc = np.zeros((n_coor, n_v), dtype=np.float64) _f.array2fmfield2(_bc, bc) _f.array2fmfield2(_coors, coors) _f.array2fmfield2(_mtx_i, mtx_i) _get_barycentric_coors(_bc, _coors, _mtx_i, eps, check_errors) return bc @cython.boundscheck(False) def eval_lagrange_simplex(np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[float64, mode='c', ndim=2] mtx_i not None, np.ndarray[int32, mode='c', ndim=2] nodes not None, int order, int diff=False, float64 eps=1e-15, int check_errors=True): """ Evaluate Lagrange base polynomials in given points on simplex domain. Parameters ---------- coors : array The coordinates of the points, shape `(n_coor, dim)`. mtx_i : array The inverse of simplex coordinates matrix, shape `(dim + 1, dim + 1)`. nodes : array The description of finite element nodes, shape `(n_nod, dim + 1)`. order : int The polynomial order. diff : bool If True, return base function derivatives. eps : float The tolerance for snapping out-of-simplex point back to the simplex. check_errors : bool If True, raise ValueError if a barycentric coordinate is outside the snap interval `[-eps, 1 + eps]`. Returns ------- out : array The evaluated base functions, shape `(n_coor, 1 or dim, n_nod)`. """ cdef int bdim cdef int n_coor = coors.shape[0] cdef int dim = mtx_i.shape[0] - 1 cdef int n_nod = nodes.shape[0] cdef FMField _out[1], _bc[1], _coors[1], _mtx_i[1] cdef int32 *_nodes = &nodes[0, 0] cdef np.ndarray[float64, ndim=2] bc = np.zeros((n_coor, dim + 1), dtype=np.float64) assert mtx_i.shape[0] == nodes.shape[1] if diff: bdim = dim else: bdim = 1 cdef np.ndarray[float64, ndim=3] out = np.zeros((n_coor, bdim, n_nod), dtype=np.float64) _f.array2fmfield3(_out, out) _f.array2fmfield2(_bc, bc) _f.array2fmfield2(_coors, coors) _f.array2fmfield2(_mtx_i, mtx_i) _get_barycentric_coors(_bc, _coors, _mtx_i, eps, check_errors) _eval_lagrange_simplex(_out, _bc, _mtx_i, _nodes, nodes.shape[1], order, diff) return out @cython.boundscheck(False) def eval_lagrange_tensor_product(np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[float64, mode='c', ndim=2] mtx_i not None, np.ndarray[int32, mode='c', ndim=2] nodes not None, int order, int diff=False, float64 eps=1e-15, int check_errors=True): """ Evaluate Lagrange base polynomials in given points on tensor product domain. Parameters ---------- coors : array The coordinates of the points, shape `(n_coor, dim)`. mtx_i : array The inverse of 1D simplex coordinates matrix, shape `(2, 2)`. nodes : array The description of finite element nodes, shape `(n_nod, 2 * dim)`. order : int The polynomial order. diff : bool If True, return base function derivatives. eps : float The tolerance for snapping out-of-simplex point back to the simplex. check_errors : bool If True, raise ValueError if a barycentric coordinate is outside the snap interval `[-eps, 1 + eps]`. Returns ------- out : array The evaluated base functions, shape `(n_coor, 1 or dim, n_nod)`. """ cdef int ii, idim, im, ic cdef int n_coor = coors.shape[0] cdef int n_nod = nodes.shape[0] cdef int dim = coors.shape[1] cdef FMField _out[1], _bc[1], _coors[1], _mtx_i[1], _base1d[1] cdef int32 *_nodes = &nodes[0, 0] cdef np.ndarray[float64, ndim=3] bc = np.zeros((dim, n_coor, 2), dtype=np.float64) cdef np.ndarray[float64, ndim=3] base1d = np.zeros((n_coor, 1, n_nod), dtype=np.float64) if diff: bdim = dim else: bdim = 1 cdef np.ndarray[float64, ndim=3] out = np.zeros((n_coor, bdim, n_nod), dtype=np.float64) _f.array2fmfield3(_out, out) _f.fmf_pretend_nc(_bc, dim, 1, n_coor, 2, &bc[0, 0, 0]) _f.array2fmfield2(_mtx_i, mtx_i) _f.array2fmfield3(_base1d, base1d) for ii in range(0, dim): _f.FMF_SetCell(_bc, ii) # slice [:,ii:ii+1] _f.fmf_pretend_nc(_coors, 1, 1, coors.shape[0], coors.shape[1], &coors[0, ii]) _get_barycentric_coors(_bc, _coors, _mtx_i, eps, check_errors) _eval_lagrange_tensor_product(_out, _bc, _mtx_i, _base1d, _nodes, nodes.shape[1], order, diff) return out @cython.boundscheck(False) @cython.cdivision(True) cpdef find_ref_coors(np.ndarray[float64, mode='c', ndim=2] ref_coors, np.ndarray[int32, mode='c', ndim=2] cells, np.ndarray[int32, mode='c', ndim=1] status, np.ndarray[float64, mode='c', ndim=2] coors, np.ndarray[int32, mode='c', ndim=1] ics, np.ndarray[int32, mode='c', ndim=1] offsets, np.ndarray[int32, mode='c', ndim=1] iconn, np.ndarray[float64, mode='c', ndim=2] mesh_coors, conns, eref_coorss, nodess, mtx_is, int allow_extrapolation, float64 close_limit, float64 qp_eps, int i_max, float64 newton_eps): """ Find reference element coordinates corresponding to physical coordinates `coors`. This function works only with a geometry mesh (order 1 connectivity), not a field mesh! The polynomial space arguments have to correspond to that. Returns ------- ref_coors : array The reference coordinates. cells : array The array of (ig, iel) corresponding to the reference coordinates. status : array The status array: 0 is success, 1 means the point is extrapolated within `close_limit`, 2 extrapolated outside `close_limit` and 3 extrapolated with no extrapolation allowed. """ cdef int32 ip, ic, ie, ig, iel, n_el, n_v, n_ep, n_ep_max, n_max, ok cdef int32 off, ie_min, n_col, ii, ik, order cdef int32 n_gr = len(conns) cdef int32 n_point = coors.shape[0] cdef int32 dim = coors.shape[1] cdef int32 *_nodes, *_cells = &cells[0, 0] cdef int32 *_status = &status[0] cdef float64 vmin, vmax, d_min, dist, aux cdef np.ndarray[int32, mode='c', ndim=2] conn cdef np.ndarray[int32, mode='c', ndim=2] nodes cdef FMField e_coors[1], _mesh_coors[1], xi[1], dest_point[1] cdef FMField eref_coors[1], _ref_coors[1], cdef FMField bc[1], base1d[1], mtx_i[1], bf[1] cdef float64 *buf_ec_max, *buf_b1d_max, *buf_bf_max cdef float64 buf6[6] # Prepare buffers. n_max = 0 for ii in range(offsets.shape[0] - 1): n_max = Max_i(n_max, offsets[ii+1] - offsets[ii]) n_ep_max = -1 for ig in range(0, n_gr): conn = conns[ig] n_ep_max = Max_i(n_ep_max, conn.shape[1]) buf_ec_max = pyalloc(n_ep_max * (dim + 2) * sizeof(float64)) buf_b1d_max = buf_ec_max + n_ep_max * dim buf_bf_max = buf_b1d_max + n_ep_max _f.fmf_alloc(xi, n_max, 1, 1, dim) _f.array2fmfield2(_mesh_coors, mesh_coors) _f.array2fmfield2(_ref_coors, ref_coors) _f.fmf_pretend_nc(dest_point, n_point, 1, 1, dim, &coors[0, 0]) _f.fmf_pretend_nc(_ref_coors, n_point, 1, 1, dim, &ref_coors[0, 0]) # Point (destination coordinate) loop. for ip in range(0, n_point): ic = ics[ip] _f.FMF_SetCell(_ref_coors, ip) _f.FMF_SetCell(dest_point, ip) ok = 0 d_min = 100.0 * 100.0 n_el = offsets[ic+1] - offsets[ic] if n_el == 0: _status[ip] = 3 _f.fmf_fillC(_ref_coors, 0.0) print 'standalone vertex!', ip, ic continue off = 2 * offsets[ic] # Containing element loop. for ie in range(0, n_el): ig = iconn[off + 2 * ie + 0] iel = iconn[off + 2 * ie + 1] nodes = nodess[ig] conn = conns[ig] if nodes.shape[0] != conn.shape[1]: msg = 'incompatible elements! (%d == %d)' % (nodes.shape[0], conn.shape[1]) raise ValueError(msg) # Finding reference coordinates uses geometric connectivity. _nodes = &nodes[0, 0] _f.FMF_SetCell(xi, ie) _f.array2fmfield2(eref_coors, eref_coorss[ig]) _f.array2fmfield2(mtx_i, mtx_is[ig]) n_v = eref_coors.nRow vmin = eref_coors.val[0] vmax = eref_coors.val[dim] n_ep = conn.shape[1] assert n_ep == n_v n_col = nodes.shape[1] _f.fmf_pretend_nc(e_coors, 1, 1, n_ep, dim, buf_ec_max) _f.ele_extractNodalValuesNBN(e_coors, _mesh_coors, &conn[0, 0] + n_ep * iel) if n_v == (dim + 1): _f.fmf_pretend_nc(bc, 1, 1, 1, dim + 1, buf6) _get_xi_simplex(xi, bc, dest_point, eref_coors, e_coors) # dist == 0 for 0 <= bc <= 1. dist = 0.0 for ii in range(0, n_v): aux = Min_f(Max_f(bc.val[ii] - 1.0, 0.0), 100.0) dist += aux * aux aux = Min_f(Max_f(0.0 - bc.val[ii], 0.0), 100.0) dist += aux * aux else: _f.fmf_pretend_nc(base1d, 1, 1, 1, n_ep, buf_b1d_max) ok = _get_xi_tensor(xi, dest_point, e_coors, mtx_i, base1d, _nodes, n_col, vmin, vmax, i_max, newton_eps) # dist == 0 for vmin <= xi <= vmax and ok == 0. if ok == 0: dist = 0.0 for ii in range(0, dim): aux = Min_f(Max_f(xi.val[ii] - vmax, 0.0), 100.0) dist += aux * aux aux = Min_f(Max_f(vmin - xi.val[ii], 0.0), 100.0) dist += aux * aux else: dist = d_min + 1.0 ok = 0 if dist < qp_eps: ok = 1 ie_min = ie break else: if dist < d_min: d_min = dist ie_min = ie # Restore ig, iel. ig = iconn[off + 2 * ie_min + 0] iel = iconn[off + 2 * ie_min + 1] # Store results _cells[2*ip+0] = ig _cells[2*ip+1] = iel if not ok: if allow_extrapolation: # Try using minimum distance xi. if sqrt(d_min) < close_limit: _status[ip] = 1 else: _status[ip] = 2 _f.FMF_SetCell(xi, ie_min) else: _status[ip] = 3 else: _status[ip] = 0 for ii in range(0, dim): _ref_coors.val[ii] = xi.val[ii] pyfree(buf_ec_max) _f.fmf_free(xi) @cython.boundscheck(False) @cython.cdivision(True) cpdef evaluate_in_rc(np.ndarray[float64, mode='c', ndim=2] out, np.ndarray[float64, mode='c', ndim=2] ref_coors, np.ndarray[int32, mode='c', ndim=2] cells, np.ndarray[int32, mode='c', ndim=1] status, np.ndarray[float64, mode='c', ndim=2] source_vals, conns, eref_coorss, nodess, np.ndarray[int32, mode='c', ndim=1] orders, mtx_is, float64 qp_eps): """ Evaluate source field DOF values in the given reference element coordinates using the given interpolation. 1. Evaluate base functions in the reference coordinates. 2. Interpolate source values using the base functions. Interpolation uses field approximation connectivity. """ cdef int32 ip, ic, ig, iel, n_v, n_ep, n_ep_max cdef int32 n_col, ii, ik, order cdef int32 n_gr = len(conns) cdef int32 n_point = ref_coors.shape[0] cdef int32 dim = ref_coors.shape[1] cdef int32 dpn = out.shape[1] cdef int32 *_nodes, *_cells = &cells[0, 0] cdef int32 *_status = &status[0] cdef float64 vmin, vmax, aux cdef np.ndarray[int32, mode='c', ndim=2] conn cdef np.ndarray[int32, mode='c', ndim=2] nodes cdef FMField eref_coors[1], src[1] cdef FMField _ref_coors[1], _out[1], bc[1], base1d[1], mtx_i[1], bf[1] cdef FMField _source_vals[1] cdef float64 *buf_ec_max, *buf_b1d_max, *buf_bf_max, *buf_src_max cdef float64 buf6[6] # Prepare buffers. n_ep_max = -1 for ig in range(0, n_gr): conn = conns[ig] n_ep_max = Max_i(n_ep_max, conn.shape[1]) buf_ec_max = pyalloc(n_ep_max * (dim + 2 + dpn) * sizeof(float64)) buf_b1d_max = buf_ec_max + n_ep_max * dim buf_bf_max = buf_b1d_max + n_ep_max buf_src_max = buf_bf_max + n_ep_max _f.array2fmfield2(_source_vals, source_vals) _f.fmf_pretend_nc(_out, n_point, 1, 1, dpn, &out[0, 0]) _f.fmf_pretend_nc(_ref_coors, n_point, 1, 1, dim, &ref_coors[0, 0]) # Point (destination coordinate) loop. for ip in range(0, n_point): _f.FMF_SetCell(_out, ip) _f.FMF_SetCell(_ref_coors, ip) if _status[ip] <= 1: ig = _cells[2*ip+0] iel = _cells[2*ip+1] nodes = nodess[ig] order = orders[ig] conn = conns[ig] _f.array2fmfield2(mtx_i, mtx_is[ig]) _f.array2fmfield2(eref_coors, eref_coorss[ig]) n_v = eref_coors.nRow n_ep = conn.shape[1] n_col = nodes.shape[1] _nodes = &nodes[0, 0] _f.fmf_pretend_nc(bf, 1, 1, 1, n_ep, buf_bf_max) if n_v == (dim + 1): _f.fmf_pretend_nc(bc, 1, 1, 1, dim + 1, buf6) _get_barycentric_coors(bc, _ref_coors, mtx_i, qp_eps, 0) _eval_lagrange_simplex(bf, bc, mtx_i, _nodes, n_col, order, 0) else: vmin = eref_coors.val[0] vmax = eref_coors.val[dim] _f.fmf_pretend_nc(bc, dim, 1, 1, 2, buf6) _f.fmf_pretend_nc(base1d, 1, 1, 1, n_ep, buf_b1d_max) for ii in range(0, dim): _f.FMF_SetCell(bc, ii) # slice [:,ii:ii+1] bc.val[1] = (_ref_coors.val[ii] - vmin) / (vmax - vmin) bc.val[0] = 1.0 - bc.val[1] _eval_lagrange_tensor_product(bf, bc, mtx_i, base1d, _nodes, n_col, order, 0) # Interpolate source_vals using bf. _f.fmf_pretend_nc(src, 1, 1, dpn, n_ep, buf_src_max) _f.ele_extractNodalValuesDBD(src, _source_vals, &conn[0, 0] + n_ep * iel) for ic in range(0, dpn): aux = 0.0 for ik in range(0, n_ep): aux += bf.val[ik] * src.val[n_ep*ic+ik] _out.val[ic] = aux else: _f.fmf_fillC(_out, 0.0) pyfree(buf_ec_max) sfepy-release_2015.1/sfepy/discrete/fem/extmods/cmesh.pyx000066400000000000000000000636131247364230400234710ustar00rootroot00000000000000# -*- Mode: Python -*- """ C Mesh data structures and functions. """ cimport cython import numpy as np cimport numpy as np from libc.stdio cimport FILE, stdout from types cimport uint32, int32, float64, complex128 np.import_array() cdef extern from 'string.h': void *memcpy(void *dest, void *src, size_t n) cdef extern from 'common.h': void *pyalloc(size_t size) void pyfree(void *pp) void mem_statistics(int lineNo, char *funName, char *fileName, char *dirName) size_t mem_get_cur_usage() size_t mem_get_max_usage() size_t mem_get_n_frags() cdef extern from 'mesh.h': ctypedef struct Indices: uint32 *indices uint32 num ctypedef struct Mask: char *mask uint32 num uint32 n_true ctypedef struct MeshGeometry: uint32 num uint32 dim float64 *coors ctypedef struct MeshTopology: uint32 max_dim uint32 num[4] uint32 *cell_types uint32 *face_oris uint32 *edge_oris MeshConnectivity *conn[16] ctypedef struct MeshConnectivity: uint32 num uint32 n_incident uint32 *indices uint32 *offsets uint32 offset ctypedef struct LocalEntities: uint32 num MeshConnectivity **edges MeshConnectivity **faces ctypedef struct Mesh: MeshGeometry geometry[1] MeshTopology topology[1] LocalEntities entities[1] cdef int32 mesh_init(Mesh *mesh) cdef int32 mesh_print(Mesh *mesh, FILE *file, int32 header_only) cdef int32 conn_alloc(MeshConnectivity *conn, uint32 num, uint32 n_incident) cdef int32 conn_free(MeshConnectivity *conn) cdef int32 conn_print(MeshConnectivity *conn, FILE *file) cdef int32 mesh_set_coors(Mesh *mesh, float64 *coors, int32 num, int32 dim, int32 tdim) cdef int32 mesh_setup_connectivity(Mesh *mesh, int32 d1, int32 d2) cdef int32 mesh_free_connectivity(Mesh *mesh, int32 d1, int32 d2) cdef uint32 mesh_count_incident(Mesh *mesh, int32 dim, Indices *entities, int32 dent) cdef int32 mesh_get_incident(Mesh *mesh, MeshConnectivity *incident, int32 dim, Indices *entities, int32 dent) cdef int32 mesh_get_local_ids(Mesh *mesh, Indices *local_ids, Indices *entities, int32 dent, MeshConnectivity *incident, int32 dim) cdef int32 mesh_select_complete(Mesh *mesh, Mask *mask, int32 dim, Indices *entities, int32 dent) cdef int32 mesh_get_centroids(Mesh *mesh, float64 *ccoors, int32 dim) cdef class CConnectivity: """ Notes ----- The memory is allocated/freed in C - this class just wraps NumPy arrays around that data without copying. """ cdef MeshConnectivity *conn cdef public np.ndarray indices cdef public np.ndarray offsets cdef public int num, n_incident, offset def __cinit__(self, num, n_incident): self.num = num self.n_incident = n_incident self.offset = 0 cdef _set_conn(self, MeshConnectivity *conn): # This cannot be in __cinit__, as a C pointer needs to be passed # around. cdef np.npy_intp shape[1] self.conn = conn shape[0] = self.num + 1 self.offsets = np.PyArray_SimpleNewFromData(1, shape, np.NPY_UINT32, conn.offsets) shape[0] = self.n_incident self.indices = np.PyArray_SimpleNewFromData(1, shape, np.NPY_UINT32, conn.indices) def __str__(self): return 'CConnectivity: num: %d, n_incident %d' \ % (self.num, self.n_incident) def cprint(self): conn_print(self.conn, stdout) cdef _create_cconn(MeshConnectivity *pconn, num, n_incident, what): if conn_alloc(pconn, num, n_incident): raise MemoryError('cannot allocate %s connectivity!' % what) cconn = CConnectivity(num, n_incident) cconn._set_conn(pconn) return cconn cdef class CMesh: cdef Mesh mesh[1] cdef readonly np.ndarray coors cdef readonly np.ndarray cell_types cdef readonly np.ndarray cell_groups # ig for each cell. cdef readonly list conns cdef readonly dict entities cdef readonly int n_coor, dim, n_el, tdim cdef readonly np.ndarray num # Numbers of topological entities. cdef readonly np.ndarray face_oris # Allocated in C. cdef readonly np.ndarray edge_oris # Allocated in C. cdef readonly np.ndarray facet_oris # face_oris in 3D, edge_oris in 2D cdef readonly dict key_to_index @classmethod def from_mesh(cls, mesh): """ Fill data from a Python mesh. """ cdef uint32 tdim cdef np.ndarray[float64, mode='c', ndim=2] _coors cdef np.ndarray[uint32, mode='c', ndim=1] _cell_types cdef MeshConnectivity *pconn self = CMesh() # Max. topological dimension of cells. tdim = 0 for desc in mesh.descs: tdim = max(tdim, int(desc[0])) # Geometry coordinates. self.n_coor, self.dim = mesh.coors.shape if (self.dim < 1) or (self.dim > 3): raise ValueError('CMesh geometry dimension must be 1, 2 or 3! (%d)' % self.dim) _coors = self.coors = mesh.coors.copy() mesh_set_coors(self.mesh, &_coors[0, 0], self.n_coor, self.dim, tdim) # Cell-vertex (D -> 0) connectivity. self.n_el = mesh.n_el self.tdim = tdim self.mesh.topology.num[self.tdim] = self.n_el _cell_types = self.cell_types = np.empty(self.n_el, dtype=np.uint32) self.mesh.topology.cell_types = &_cell_types[0] # Length of connectivity. n_incident = (mesh.n_e_ps * mesh.n_els).sum() ii = self._get_conn_indx(self.tdim, 0) cconn = _create_cconn(self.mesh.topology.conn[ii], self.n_el, n_incident, 'D -> 0') self.cell_groups = np.empty(self.n_el, dtype=np.uint32) indices = [] offsets = [] ict = 0 for ig, conn in enumerate(mesh.conns): n_el, n_ep = conn.shape off = np.empty(n_el, dtype=np.uint32) off.fill(n_ep) offsets.append(off) indices.append(conn.ravel()) self.cell_types[ict:ict+n_el] = self.key_to_index[mesh.descs[ig]] self.cell_groups[ict:ict+n_el] = ig ict += n_el indices = np.concatenate(indices) offsets = np.concatenate(offsets) cconn.indices[:] = indices cconn.offsets[0] = 0 cconn.offsets[1:] = np.cumsum(offsets) self.conns = [None] * (self.mesh.topology.max_dim + 1)**2 self.conns[ii] = cconn self._update_num() return self def __cinit__(self): mesh_init(self.mesh) self.num = np.zeros(4, dtype=np.uint32) self.key_to_index = { '1_2' : 0, '2_3' : 1, '2_4' : 2, '3_4' : 3, '3_8' : 4, } def set_local_entities(self, gels): cdef MeshConnectivity *pedges, *pfaces self.mesh.entities.num = len(self.key_to_index) self.entities = {} for key, gel in gels.iteritems(): ii = self.key_to_index[key] # Reference element edges. if gel.n_edge > 0: n_incident = gel.n_edge * gel.edges.shape[1] cedges = _create_cconn(self.mesh.entities.edges[ii], gel.n_edge, n_incident, 'local edge') cedges.indices[:] = gel.edges.ravel() cedges.offsets[0] = 0 nums = np.empty(gel.n_edge, dtype=np.uint32) nums.fill(gel.edges.shape[1]) cedges.offsets[1:] = np.cumsum(nums) else: cedges = None # Reference element faces. if gel.n_face > 0: n_incident = gel.n_face * gel.faces.shape[1] cfaces = _create_cconn(self.mesh.entities.faces[ii], gel.n_face, n_incident, 'local face') cfaces.indices[:] = gel.faces.ravel() cfaces.offsets[0] = 0 nums = np.empty(gel.n_face, dtype=np.uint32) nums.fill(gel.faces.shape[1]) cfaces.offsets[1:] = np.cumsum(nums) else: cfaces = None self.entities[key] = (cedges, cfaces) def get_local_entities(self, key): return self.entities[key] def setup_entities(self): """ Set up mesh edge (2D and 3D) and face connectivities (3D only) as well as their orientations. """ cdef np.npy_intp shape[1] if not self.entities: msg = 'CMesh.setup_entities() must be called after'\ ' CMesh.set_local_entities()!' raise ValueError(msg) if self.tdim == 1: pass else: self.setup_connectivity(1, 0) ii = self._get_conn_indx(self.mesh.topology.max_dim, 1) shape[0] = self.conns[ii].n_incident ptr = self.mesh.topology.edge_oris self.edge_oris = np.PyArray_SimpleNewFromData(1, shape, np.NPY_UINT32, ptr) if self.tdim == 3: self.setup_connectivity(2, 0) ii = self._get_conn_indx(self.mesh.topology.max_dim, 2) shape[0] = self.conns[ii].n_incident ptr = self.mesh.topology.face_oris self.face_oris = np.PyArray_SimpleNewFromData(1, shape, np.NPY_UINT32, ptr) self.facet_oris = self.face_oris else: self.facet_oris = self.edge_oris def setup_connectivity(self, d1, d2): cdef MeshConnectivity *pconn ii = self._get_conn_indx(d1, d2) self.conns[ii] = None # This call can create several (intermediate) connectivities. mesh_setup_connectivity(self.mesh, d1, d2) self._update_pointers() self._update_num() def _update_pointers(self): cdef MeshConnectivity *pconn cdef uint32 ii for ii in range((self.mesh.topology.max_dim + 1)**2): pconn = self.mesh.topology.conn[ii] if (pconn.num > 0) and ((self.conns[ii] is None) or (pconn.num != self.conns[ii].num)): cconn = CConnectivity(pconn.num, pconn.n_incident) cconn._set_conn(pconn) self.conns[ii] = cconn def _update_num(self): self.num[0] = self.n_coor self.num[self.mesh.topology.max_dim] = self.n_el for idim in range(1, self.mesh.topology.max_dim): ii = self._get_conn_indx(idim, 0) conn = self.conns[ii] if conn is None: self.num[idim] = 0 self.mesh.topology.num[idim] = 0 else: self.num[idim] = conn.num self.mesh.topology.num[idim] = conn.num def free_connectivity(self, d1, d2): ii = self._get_conn_indx(d1, d2) if self.conns[ii] is None: return self.conns[ii] = None mesh_free_connectivity(self.mesh, d1, d2) self._update_num() max_dim = self.mesh.topology.max_dim if (max_dim > d1 > 0) and (d2 == 0): self.free_connectivity(max_dim, d1) if (d1 == max_dim) and (max_dim > d2 > 0): self.free_connectivity(d2, 0) def _get_conn_indx(self, d1, d2): return (self.mesh.topology.max_dim + 1) * d1 + d2 def get_conn(self, d1, d2): ii = self._get_conn_indx(d1, d2) return self.conns[ii] def get_cell_conn(self): return self.get_conn(self.tdim, 0) def get_conn_as_graph(self, d1, d2): """ Get d1 -> d2 connectivity as a sparse matrix graph (values = ones). For safety, creates a copy of the connectivity arrays. The connectivity is created if necessary. """ import scipy.sparse as sps self.setup_connectivity(d1, d2) conn = self.get_conn(d1, d2) graph = sps.csr_matrix((np.ones(conn.indices.shape[0], dtype=np.bool), np.array(conn.indices, copy=True, dtype=np.int32), np.array(conn.offsets, copy=True, dtype=np.int32))) return graph def __str__(self): return 'CMesh: n_coor: %d, dim %d, tdim: %d, n_el %d' \ % (self.n_coor, self.dim, self.tdim, self.n_el) def cprint(self, int32 header_only=1): mesh_print(self.mesh, stdout, header_only) def get_surface_facets(self): """ Get facets (edges in 2D, faces in 3D) on the mesh surface. """ self.setup_connectivity(self.tdim - 1, self.tdim) conn = self.get_conn(self.tdim - 1, self.tdim) ii = np.where(np.diff(conn.offsets) == 1)[0] return ii.astype(np.uint32) def get_incident(self, int32 dim, np.ndarray[uint32, mode='c', ndim=1] entities not None, int32 dent, ret_offsets=False): """ Get non-unique entities `indices` of dimension `dim` that are contained in entities of dimension `dent` listed in `entities`. As each of entities can be in several entities of dimension `dent`, `offsets` array is returned optionally. """ cdef Indices _entities[1] cdef MeshConnectivity _incident[1] cdef np.ndarray[uint32, mode='c', ndim=1] indices cdef np.ndarray[uint32, mode='c', ndim=1] offsets cdef uint32 num if not entities.shape[0] > 0: empty = np.empty(0, dtype=np.uint32) if ret_offsets: return empty, empty else: return empty _entities.num = entities.shape[0] _entities.indices = &entities[0] num = mesh_count_incident(self.mesh, dim, _entities, dent) indices = np.empty(num, dtype=np.uint32) offsets = np.empty(_entities.num + 1, dtype=np.uint32) _incident.num = _entities.num _incident.n_incident = num _incident.indices = &indices[0] _incident.offsets = &offsets[0] mesh_get_incident(self.mesh, _incident, dim, _entities, dent) if ret_offsets: return indices, offsets else: return indices def get_local_ids(self, np.ndarray[uint32, mode='c', ndim=1] entities not None, int32 dent, np.ndarray[uint32, mode='c', ndim=1] incident not None, np.ndarray[uint32, mode='c', ndim=1] offsets not None, int32 dim): """ Get local ids of non-unique entities `incident` of dimension `dim` (with given `offsets` per `entities`) incident to `entities` of dimension `dent`, see `mesh_get_incident()`, with respect to `entities`. """ cdef Indices _entities[1], _local_ids[1] cdef MeshConnectivity _incident[1] cdef np.ndarray[uint32, mode='c', ndim=1] out if not entities.shape[0] > 0: return np.empty(0, dtype=np.uint32) _entities.num = entities.shape[0] _entities.indices = &entities[0] _incident.num = _entities.num _incident.n_incident = incident.shape[0] _incident.indices = &incident[0] _incident.offsets = &offsets[0] out = np.empty(_incident.n_incident, dtype=np.uint32) _local_ids.num = _incident.n_incident _local_ids.indices = &out[0] mesh_get_local_ids(self.mesh, _local_ids, _entities, dent, _incident, dim) return out def get_complete(self, int32 dim, np.ndarray[uint32, mode='c', ndim=1] entities not None, int32 dent): """ Get entities of dimension `dim` that are completely given by entities of dimension `dent` listed in `entities`. """ cdef Mask mask[1] cdef Indices _entities[1] cdef np.ndarray[uint32, mode='c', ndim=1] out cdef uint32 *_out cdef uint32 ii, ic if not entities.shape[0] > 0: return np.empty(0, dtype=np.uint32) _entities.num = entities.shape[0] _entities.indices = &entities[0] mesh_select_complete(self.mesh, mask, dim, _entities, dent) out = np.empty(mask.n_true, dtype=np.uint32) if mask.n_true > 0: _out = &out[0] ic = 0 for ii in range(mask.num): if mask.mask[ii]: _out[ic] = ii ic += 1 pyfree(mask.mask) return out def get_orientations(self, int32 dim, codim=None): """ Get orientations of entities of dimension `dim`. Alternatively, co-dimension can be specified using `codim` argument. """ if codim is not None: dim = self.tdim - codim if dim == 1: return self.edge_oris elif dim == 2: return self.face_oris else: raise ValueError('only edges or faces have orientations! (%d)' % dim) def get_from_cell_group(self, int32 ig, int32 dim, np.ndarray[uint32, mode='c', ndim=1] entities=None): """ Get entities of dimension `dim` that are contained in cells of group `ig` and are listed in `entities`. If `entities` is None, all entities are used. Adapter function to be removed after new assembling is done. """ cdef np.ndarray[uint32, mode='c', ndim=1] cells cdef np.ndarray[uint32, mode='c', ndim=1] candidates cdef np.ndarray[uint32, mode='c', ndim=1] out cells = np.where(self.cell_groups == ig)[0].astype(np.uint32) if cells.shape[0] == 0: raise ValueError('group %d does not exist!' % ig) if dim == self.tdim: candidates = cells else: self.setup_connectivity(self.tdim, dim) candidates = self.get_incident(dim, cells, self.tdim) if entities is not None: out = np.intersect1d(candidates, entities) else: out = candidates return out def get_igs(self, np.ndarray[uint32, mode='c', ndim=1] entities not None, int32 dim): """ Get cell groups of incident to entities of dimension `dim`. Adapter function to be removed after new assembling is done. """ cdef np.ndarray[uint32, mode='c', ndim=1] cells if not entities.shape[0] > 0: return np.empty(0, dtype=np.uint32) if dim == self.tdim: cells = entities else: self.setup_connectivity(dim, self.tdim) cells = self.get_incident(self.tdim, entities, dim) igs = np.unique(self.cell_groups[cells]) return igs def get_centroids(self, dim): """ Return the coordinates of centroids of mesh entities with dimension `dim`. """ cdef np.ndarray[float64, mode='c', ndim=2] out if dim == 0: return self.coors else: out = np.empty((self.mesh.topology.num[dim], self.dim), dtype=np.float64) mesh_get_centroids(self.mesh, &out[0, 0], dim) return out def cmem_statistics(): mem_statistics(0, '', '', '') def get_cmem_usage(): cur_usage = mem_get_cur_usage() max_usage = mem_get_max_usage() n_frags = mem_get_n_frags() return cur_usage, max_usage, n_frags ## Utils. ## cdef extern from 'meshutils.h': int32 c_orient_elements \ 'orient_elements'(int32 *flag, int32 flag_n_row, int32 *conn, int32 conn_n_row, int32 conn_n_col, float64 *coors, int32 coors_n_row, int32 coors_n_col, int32 *v_roots, int32 v_roots_n_row, int32 *v_vecs, int32 v_vecs_n_row, int32 v_vecs_n_col, int32 *swap_from, int32 swap_from_n_row, int32 swap_from_n_col, int32 *swap_to, int32 swap_to_n_row, int32 swap_to_n_col) int32 mesh_graph(int32 *p_nnz, int32 **p_prow, int32 **p_icol, int32 n_row, int32 n_col, int32 n_gr, int32 *n_el, int32 *n_epr, int32 **conn_r, int32 *n_epc, int32 **conn_c) int32 c_graph_components \ 'graph_components'(int32 *p_n_comp, int32 *flag, int32 flag_len, int32 *row, int32 row_len, int32 *col, int32 col_len, int32 *pos, int32 pos_len) @cython.boundscheck(False) def orient_elements(np.ndarray[int32, mode='c', ndim=1] flag not None, np.ndarray[int32, mode='c', ndim=2] conn not None, np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[int32, mode='c', ndim=1] v_roots not None, np.ndarray[int32, mode='c', ndim=2] v_vecs not None, np.ndarray[int32, mode='c', ndim=2] swap_from not None, np.ndarray[int32, mode='c', ndim=2] swap_to not None): """ Swap element nodes so that its volume is positive. """ return c_orient_elements(&flag[0], flag.shape[0], &conn[0, 0], conn.shape[0], conn.shape[1], &coors[0, 0], coors.shape[0], coors.shape[1], &v_roots[0], v_roots.shape[0], &v_vecs[0, 0], v_vecs.shape[0], v_vecs.shape[1], &swap_from[0, 0], swap_from.shape[0], swap_from.shape[1], &swap_to[0, 0], swap_to.shape[0], swap_to.shape[1]) @cython.boundscheck(False) def create_mesh_graph(int n_row, int n_col, int n_gr, rconns, cconns): """ Create sparse (CSR) graph corresponding to given row and column connectivities. Parameters ---------- n_row : int The number of row connectivity nodes. n_col : int The number of column connectivity nodes. n_gr : int The number of element groups. rconns : list of arrays The list of length `n_gr` of row connectivities. cconns : list of arrays The list of length `n_gr` of column connectivities. Returns ------- nnz : int The number of graph nonzeros. prow : array The array of CSR row pointers. icol : array The array of CSR column indices. """ cdef int ii cdef int32 nnz cdef int32 *pprow, *picol cdef np.ndarray[int32, mode='c', ndim=1] prow cdef np.ndarray[int32, mode='c', ndim=1] icol cdef np.ndarray[int32, mode='c', ndim=2] rconn cdef np.ndarray[int32, mode='c', ndim=2] cconn cdef int32 *n_el = pyalloc(n_gr * sizeof(int32)) cdef int32 *n_epr = pyalloc(n_gr * sizeof(int32)) cdef int32 *n_epc = pyalloc(n_gr * sizeof(int32)) cdef int32 **conn_r = pyalloc(n_gr * sizeof(int32 *)) cdef int32 **conn_c = pyalloc(n_gr * sizeof(int32 *)) try: for ii in range(0, n_gr): rconn = rconns[ii] cconn = cconns[ii] if rconn.shape[0] != cconn.shape[0]: msg = 'connectivities must have the same number of elements!' \ ' (%d == %d)' % (rconn.shape[0], cconn.shape[0]) raise ValueError(msg) n_el[ii] = rconn.shape[0] n_epr[ii] = rconn.shape[1] n_epc[ii] = cconn.shape[1] conn_r[ii] = &rconn[0, 0] conn_c[ii] = &cconn[0, 0] mesh_graph(&nnz, &pprow, &picol, n_row, n_col, n_gr, n_el, n_epr, conn_r, n_epc, conn_c) prow = np.empty((n_row + 1,), dtype=np.int32) icol = np.empty((nnz,), dtype=np.int32) memcpy(&prow[0], pprow, (n_row + 1) * sizeof(int32)) memcpy(&icol[0], picol, nnz * sizeof(int32)) pyfree(pprow) pyfree(picol) finally: pyfree(n_el) pyfree(n_epr) pyfree(n_epc) pyfree(conn_r) pyfree(conn_c) return nnz, prow, icol @cython.boundscheck(False) def graph_components(int n_nod, np.ndarray[int32, mode='c', ndim=1] row not None, np.ndarray[int32, mode='c', ndim=1] col not None): """ Determine connected compoments of a compressed sparse graph. Returns ------- n_comp : int The number of components. flag : array The flag marking for each node its component. """ cdef int32 n_comp cdef np.ndarray[int32, mode='c', ndim=1] flag = np.empty((n_nod,), dtype=np.int32) cdef np.ndarray[int32, mode='c', ndim=1] pos = np.empty((n_nod,), dtype=np.int32) c_graph_components(&n_comp, &flag[0], flag.shape[0], &row[0], row.shape[0], &col[0], col.shape[0], &pos[0], pos.shape[0]) return n_comp, flag sfepy-release_2015.1/sfepy/discrete/fem/extmods/common.h000066400000000000000000000071521247364230400232650ustar00rootroot00000000000000#ifndef _COMMON_H_ #define _COMMON_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" typedef enum ReturnStatus { RET_OK, RET_Fail } ReturnStatus; void output(const char *what, ...); void errput(const char *what, ...); void errset(const char *msg); void errclear(void); #define AL_CookieValue 0xf0e0d0c9 #define AL_AlreadyFreed 0x0f0e0d9c /*! @par Revision history: - 25.05.2001, c */ typedef struct _AllocSpace { unsigned long size; int id; int lineNo; char *fileName; char *funName; char *dirName; unsigned long cookie; struct _AllocSpace *next,*prev; } AllocSpace; #define AL_HeaderDoubles sizeof(AllocSpace)/sizeof(double)+1 /*! This union is used to insure that the block passed to the user is aligned on a double boundary @par Revision history: - 25.05.2001, c */ typedef union { AllocSpace sp; double v[AL_HeaderDoubles]; } AllocSpaceAlign; /*! @enum AllocMode @par Revision history: - 15.04.2001, c */ typedef enum AllocMode { AL_Alloc, AL_Free, AL_Realloc } AllocMode; size_t mem_get_cur_usage(void); size_t mem_get_max_usage(void); size_t mem_get_n_frags(void); void mem_list_new(char *p, size_t size, AllocSpace *al_head, int lineNo, char *funName, char *fileName, char *dirName); void mem_list_remove(AllocSpace *head, AllocSpace *al_head); int32 mem_check_ptr(char *p, int lineNo, char *funName, char *fileName, char *dirName); void *mem_alloc_mem(size_t size, int lineNo, char *funName, char *fileName, char *dirName); void *mem_realloc_mem(void *pp, size_t size, int lineNo, char *funName, char *fileName, char *dirName); void mem_free_mem(void *pp, int lineNo, char *funName, char *fileName, char *dirName); void *pyalloc(size_t size); void pyfree(void *pp); void mem_checkIntegrity(int lineNo, char *funName, char *fileName, char *dirName); void mem_statistics(int lineNo, char *funName, char *fileName, char *dirName); int32 mem_print(FILE *file, int32 mode); int32 mem_printSome(FILE *file, int32 mode, int32 num); int32 mem_freeGarbage(void); int sys_getch(void); void sys_keyboardEnableRaw(void); void sys_keyboardDisableRaw(void); void sys_pause(void); #ifndef __SDIR__ #define __SDIR__ "" #endif /*! @par Revision history: - 06.03.2003, c */ #define alloc_mem(Type, num) \ (Type *) mem_alloc_mem((num) * sizeof(Type), \ __LINE__, __FUNC__, __FILE__, __SDIR__) #define realloc_mem(p, Type, num)\ (Type *) mem_realloc_mem(p, (num) * sizeof(Type), \ __LINE__, __FUNC__, __FILE__, __SDIR__) #define free_mem(p) do {\ mem_free_mem(p, __LINE__, __FUNC__, __FILE__, __SDIR__); } while (0) #define print_mem_stats() \ (mem_statistics(__LINE__, __FUNC__, __FILE__, __SDIR__)) #define check_memory_integrity() \ (mem_checkIntegrity(__LINE__, __FUNC__, __FILE__, __SDIR__)) /*! @par Revision history: - 11.03.2003, c - 28.03.2003 - 08.04.2003 - 26.10.2005 */ #define ERR_CheckGo(ret) do {\ if (g_error != 0) {\ (ret) = RET_Fail;\ goto end_label;\ }\ } while (0) #define ERR_GotoEnd(i) do { g_error = (i); goto end_label; } while (0) #define ERR_Chk (g_error != 0) #define ERR_Clear (g_error = 0) #define ErrHead __FUNC__ "(): " extern int32 g_error; #define Max(a,b) (((a) > (b)) ? (a) : (b)) #define Min(a,b) (((a) < (b)) ? (a) : (b)) #endif /* !SIC_COMMON_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/common_python.c000066400000000000000000000322131247364230400246550ustar00rootroot00000000000000#include #include "common.h" int32 g_error = 0; static char buf[1024]; /* !!! */ #undef __FUNC__ #define __FUNC__ "output" /*! @par Revision history: - 16.02.2004, c */ void output(const char *what, ...) { va_list ap; va_start(ap, what); vprintf(what, ap); va_end(ap); } #undef __FUNC__ #define __FUNC__ "errput" /*! @par Revision history: - 16.02.2004, c - 20.02.2004 - 26.10.2005 */ void errput(const char *what, ...) { va_list ap; snprintf(buf, 1020, "**ERROR** -> %s", what); va_start(ap, what); vprintf(what, ap); va_end(ap); PyErr_SetString(PyExc_RuntimeError, "ccore error (see above)"); g_error++; } void errset(const char *msg) { PyErr_SetString(PyExc_RuntimeError, msg); g_error++; } #undef __FUNC__ #define __FUNC__ "errclear" /*! @par Revision history: - 07.06.2006, c */ void errclear() { g_error = 0; } /*! @par Revision history: - 17.02.2005, from rcfem2 */ static size_t al_curUsage; static size_t al_maxUsage; static size_t al_frags; static AllocSpace *al_head = 0; size_t mem_get_cur_usage(void) { return al_curUsage; } size_t mem_get_max_usage(void) { return al_maxUsage; } size_t mem_get_n_frags(void) { return al_frags; } void mem_list_new(char *p, size_t size, AllocSpace *al_head, int lineNo, char *funName, char *fileName, char *dirName) { float64 *endptr; size_t hsize = sizeof(AllocSpaceAlign); AllocSpace *head = (AllocSpace *) (p - hsize); if (al_head) al_head->prev = head; head->next = al_head; al_head = head; head->prev = 0; head->size = size; head->id = 1234567; head->lineNo = lineNo; head->fileName = fileName; head->funName = funName; head->dirName = dirName; head->cookie = AL_CookieValue; endptr = (float64 *) (p + size); endptr[0] = (float64) AL_CookieValue; } void mem_list_remove(AllocSpace *head, AllocSpace *al_head) { if (head->prev) head->prev->next = head->next; else al_head = head->next; if (head->next) head->next->prev = head->prev; } int32 mem_check_ptr(char *p, int lineNo, char *funName, char *fileName, char *dirName) { int32 ret = RET_OK; float64 *endptr; size_t hsize = sizeof(AllocSpaceAlign); AllocSpace *head = (AllocSpace *) (p - hsize); if (head->cookie != AL_CookieValue) { errput("%s, %s, %s, %d: ptr: %p, cookie: %d\n", dirName, fileName, funName, lineNo, p, head->cookie); if (head->cookie == AL_AlreadyFreed) { errput("memory was already freed!\n"); } ERR_CheckGo(ret); } endptr = (float64 *) (p + head->size); if (endptr[0] != AL_CookieValue) { errput("%s %s %s %d:\n", dirName, fileName, funName, lineNo); if (endptr[0] == AL_AlreadyFreed) { errput("already freed!\n"); } else { errput("damaged tail!\n"); } ERR_CheckGo(ret); } end_label: return(ret); } #undef __FUNC__ #define __FUNC__ "mem_alloc_mem" /*! @par Revision history: - 17.02.2005, from rcfem2 */ void *mem_alloc_mem(size_t size, int lineNo, char *funName, char *fileName, char *dirName) { char *p; size_t hsize = sizeof(AllocSpaceAlign); size_t tsize, aux; if (size == 0) { errput("%s, %s, %s, %d: zero allocation!\n", dirName, fileName, funName, lineNo); ERR_GotoEnd(1); } aux = size % sizeof(float64); size += (aux) ? sizeof(float64) - aux : 0; tsize = size + hsize + sizeof(float64); if ((p = (char *) PyMem_Malloc(tsize)) == 0) { errput("%s, %s, %s, %d: error allocating %zu bytes (current: %zu).\n", dirName, fileName, funName, lineNo, size, al_curUsage); ERR_GotoEnd(1); } p += hsize; mem_list_new(p, size, al_head, lineNo, funName, fileName, dirName); al_curUsage += size; if (al_curUsage > al_maxUsage) { al_maxUsage = al_curUsage; } al_frags++; memset(p, 0, size); return((void *) p); end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } return(0); } #undef __FUNC__ #define __FUNC__ "mem_realloc_mem" void *mem_realloc_mem(void *pp, size_t size, int lineNo, char *funName, char *fileName, char *dirName) { char *p = (char *) pp; size_t hsize = sizeof(AllocSpaceAlign); size_t tsize, aux; float64 *endptr; AllocSpace *head; char *phead; if (p == 0) return(0); if (size == 0) { errput("%s, %s, %s, %d: zero allocation!\n", dirName, fileName, funName, lineNo); ERR_GotoEnd(1); } // 1. almost as mem_free_mem(). mem_check_ptr(p, lineNo, funName, fileName, dirName); if (ERR_Chk) { ERR_GotoEnd(1); } phead = p - hsize; head = (AllocSpace *) phead; head->cookie = AL_AlreadyFreed; endptr = (float64 *) (p + head->size); endptr[0] = (float64) AL_AlreadyFreed; al_curUsage -= head->size; al_frags--; mem_list_remove(head, al_head); // 2. realloc. aux = size % sizeof(float64); size += (aux) ? sizeof(float64) - aux : 0; tsize = size + hsize + sizeof(float64); if ((p = (char *) PyMem_Realloc(phead, tsize)) == 0) { errput("%s, %s, %s, %d: error re-allocating to %zu bytes (current: %zu).\n", dirName, fileName, funName, lineNo, size, al_curUsage); ERR_GotoEnd(1); } // 3. almost as mem_alloc_mem(). p += hsize; mem_list_new(p, size, al_head, lineNo, funName, fileName, dirName); al_curUsage += size; if (al_curUsage > al_maxUsage) { al_maxUsage = al_curUsage; } al_frags++; return((void *) p); end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } return(0); } #undef __FUNC__ #define __FUNC__ "mem_free_mem" /*! @par Revision history: - 17.02.2005, from rcfem2 */ void mem_free_mem(void *pp, int lineNo, char *funName, char *fileName, char *dirName) { char *p = (char *) pp; size_t hsize = sizeof(AllocSpaceAlign); float64 *endptr; AllocSpace *head; char *phead; if (p == 0) return; mem_check_ptr(p, lineNo, funName, fileName, dirName); if (ERR_Chk) { ERR_GotoEnd(1); } phead = p - hsize; head = (AllocSpace *) phead; head->cookie = AL_AlreadyFreed; endptr = (float64 *) (p + head->size); endptr[0] = (float64) AL_AlreadyFreed; al_curUsage -= head->size; al_frags--; mem_list_remove(head, al_head); PyMem_Free(phead); return; end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } } #undef __FUNC__ #define __FUNC__ "pyalloc" void *pyalloc(size_t size) { return mem_alloc_mem(size, __LINE__, __FUNC__, __FILE__, __SDIR__); } #undef __FUNC__ #define __FUNC__ "pyfree" void pyfree(void *pp) { return mem_free_mem(pp, __LINE__, __FUNC__, __FILE__, __SDIR__); } #undef __FUNC__ #define __FUNC__ "mem_checkIntegrity" /*! @par Revision history: - 17.02.2005, from rcfem2 */ void mem_checkIntegrity(int lineNo, char *funName, char *fileName, char *dirName) { char *p, *pp; size_t cnt, allocated; size_t hsize = sizeof(AllocSpaceAlign); float64 *endptr; AllocSpace *head = al_head; output("checking memory integrity in\n"); output("%s, %s, %s(), %d:\n", dirName, fileName, funName, lineNo, al_maxUsage, al_curUsage); output("allocated memory: %zu records, usage: %zu, max: %zu\n", al_frags, al_curUsage, al_maxUsage); if (head == 0) { goto end_label_ok; } cnt = 0; allocated = 0; while (head) { p = (char *) head; pp = p + hsize; if (head->cookie != AL_CookieValue) { errput("ptr: %p, ptrhead: %p, cookie: %d\n", pp, p , head->cookie); if (head->cookie == AL_AlreadyFreed) { errput("memory was already freed!\n"); } ERR_GotoEnd(1); } endptr = (float64 *) (pp + head->size); if (endptr[0] != AL_CookieValue) { output(" %s, %s, %s, %d: size: %zu, ptr: %p\n", head->dirName, head->fileName, head->funName, head->lineNo, head->size, pp); if (endptr[0] == AL_AlreadyFreed) { errput("already freed!\n"); } else { errput("damaged tail!\n"); } ERR_GotoEnd(1); } cnt++; allocated += head->size; if (cnt > al_frags) { errput("damaged allocation record (overrun)!\n"); ERR_GotoEnd(1); } head = head->next; } if (cnt < al_frags) { errput("damaged allocation record (underrun)!\n"); ERR_GotoEnd(1); } if (allocated != al_curUsage) { errput("memory leak!? (%zu == %zu)\n", allocated, al_curUsage); ERR_GotoEnd(1); } end_label_ok: output("memory OK.\n"); return; end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } } #undef __FUNC__ #define __FUNC__ "mem_statistics" /*! Prints memory usage statistics. @par Revision history: - 17.02.2005, from rcfem2 */ void mem_statistics(int lineNo, char *funName, char *fileName, char *dirName) { output("%s, %s, %s(), %d: memory max: %zu, current: %zu\n", dirName, fileName, funName, lineNo, al_maxUsage, al_curUsage); } #undef __FUNC__ #define __FUNC__ "mem_print" /*! Prints memory usage statistics. @par Revision history: - 17.02.2005, from rcfem2 - 06.10.2005 */ int32 mem_print(FILE *file, int32 mode) { size_t cnt = 0; size_t hsize = sizeof(AllocSpaceAlign); AllocSpace *head = al_head; char *p; mode = 0; fprintf(file, "allocated memory: %zu records, usage: %zu, max: %zu\n", al_frags, al_curUsage, al_maxUsage); if (head == 0) { goto end_label_ok; } while (head) { p = (char *) head; fprintf(file, " %s, %s, %s, %d: size: %zu, ptr: %p\n", head->dirName, head->fileName, head->funName, head->lineNo, head->size, p + hsize); cnt++; if (cnt > al_frags) { errput("damaged allocation record (overrun)!\n"); ERR_GotoEnd(1); } head = head->next; } if (cnt < al_frags) { errput("damaged allocation record (underrun)!\n"); ERR_GotoEnd(1); } end_label_ok: fprintf(file, "done.\n"); return(RET_OK); end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } return(RET_Fail); } #undef __FUNC__ #define __FUNC__ "mem_printSome" /*! Prints memory usage statistics. @par Revision history: - 17.02.2005, from rcfem2 - 06.10.2005 */ int32 mem_printSome(FILE *file, int32 mode, int32 num) { size_t cnt = 0; size_t hsize = sizeof(AllocSpaceAlign); AllocSpace *head = al_head; char *p; mode = 0; fprintf(file, "allocated memory: %zu records, usage: %zu, max: %zu\n", al_frags, al_curUsage, al_maxUsage); fprintf(file, "printing max: %d\n", num); if (head == 0) { goto end_label_ok; } while (head) { p = (char *) head; fprintf(file, " %s, %s, %s, %d: size: %zu, ptr: %p\n", head->dirName, head->fileName, head->funName, head->lineNo, head->size, p + hsize); cnt++; if (cnt > al_frags) { errput("damaged allocation record (overrun)!\n"); ERR_GotoEnd(1); } if (cnt == num) break; head = head->next; } end_label_ok: fprintf(file, "done.\n"); return(RET_OK); end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } return(RET_Fail); } #undef __FUNC__ #define __FUNC__ "mem_freeGarbage" /*! Free all memory records. @par Revision history: - 17.02.2005, from rcfem2 */ int32 mem_freeGarbage() { size_t cnt = 0, frags = al_frags; size_t hsize = sizeof(AllocSpaceAlign); char *p; output("freeing garbage.\n"); while (al_head) { p = (char *) al_head + hsize; free_mem(p); cnt++; if (cnt > frags) { errput("damaged allocation record (overrun)!\n"); ERR_GotoEnd(1); } } if (cnt < frags) { errput("damaged allocation record (underrun)!\n"); ERR_GotoEnd(1); } return(RET_OK); end_label: if (ERR_Chk) { errput(ErrHead "error exit!\n"); } return(RET_Fail); } #if SFEPY_PLATFORM == 0 #include /* tcgetattr(), tcsetattr() */ #include /* read() */ #endif #undef __FUNC__ #define __FUNC__ "sys_getch" /*! @par Revision history: - 21.05.2002, c */ int sys_getch(void) { char ch = 0; #if SFEPY_PLATFORM == 0 if (read (STDERR_FILENO, &ch, 1) < 0) { return(RET_Fail); } #endif return(ch); } #if SFEPY_PLATFORM == 0 static struct termios term; #endif #undef __FUNC__ #define __FUNC__ "sys_keyboardEnableRaw" /*! Set keyboard to raw mode so getch will work @par Revision history: - 21.05.2002, c */ void sys_keyboardEnableRaw() { #if SFEPY_PLATFORM == 0 // set to non canonical mode, echo off, ignore signals struct termios current; // save current terminal settings tcgetattr (STDERR_FILENO, ¤t); // set to non canonical mode, echo off, ignore signals term = current; current.c_lflag &= ~(ECHO | ICANON | IEXTEN); current.c_cc[VMIN] = 1; current.c_cc[VTIME] = 0; tcsetattr (STDERR_FILENO, TCSAFLUSH, ¤t); #endif } #undef __FUNC__ #define __FUNC__ "sys_keyboardDisableRaw" /*! @par Revision history: - 21.05.2002, c */ void sys_keyboardDisableRaw() { #if SFEPY_PLATFORM == 0 // Restore old terminal settings tcsetattr (STDERR_FILENO, TCSAFLUSH, &term); #endif } #undef __FUNC__ #define __FUNC__ "sys_pause()" /*! @par Revision history: - 18.02.2005, c - 28.11.2005 */ void sys_pause() { sys_keyboardEnableRaw(); if (sys_getch() == 'q') { sys_keyboardDisableRaw(); exit(1); } sys_keyboardDisableRaw(); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/fmfield.c000066400000000000000000001156451247364230400234050ustar00rootroot00000000000000#include "fmfield.h" #undef __FUNC__ #define __FUNC__ "fmf_alloc" /*! @par Revision history: - 27.04.2001, c - 03.05.2001 - 06.03.2003, adopted from rcfem2 - 31.03.2003 */ int32 fmf_alloc( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol ) { obj->nCell = nCell; obj->nLev = nLev; obj->nRow = nRow; obj->nCol = nCol; obj->cellSize = obj->nLev * obj->nRow * obj->nCol; obj->nAlloc = obj->nCell * obj->cellSize; obj->val0 = obj->val = alloc_mem( float64, obj->nAlloc ); obj->nColFull = obj->nCol; obj->offset = 0; return( RET_OK ); } /*! @par Revision history: - 06.02.2001, c - 27.04.2001 - 06.03.2003, adopted from rcfem2 */ int32 fmf_createAlloc( FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol ) { *p_obj = alloc_mem( FMField, 1 ); fmf_alloc( *p_obj, nCell, nLev, nRow, nCol ); return( RET_OK ); } /*! @par Revision history: - 13.03.2003, c */ int32 fmf_createAllocInit( FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *val ) { fmf_createAlloc( p_obj, nCell, nLev, nRow, nCol ); memcpy( (*p_obj)->val0, val, (*p_obj)->nAlloc * sizeof( float64 ) ); return( RET_OK ); } /*! @par Revision history: - 14.03.2003, c */ int32 fmf_createAllocCopy( FMField **p_obj, FMField *obj ) { fmf_createAllocInit( p_obj, obj->nCell, obj->nLev, obj->nRow, obj->nCol, obj->val0 ); return( RET_OK ); } /*! @par Revision history: - 06.02.2001, c - 30.04.2001 - 27.05.2001 - 06.03.2003, adopted from rcfem2 */ int32 fmf_free( FMField *obj ) { if (obj == 0) return( RET_OK ); if (obj->nAlloc >= 0) { free_mem( obj->val0 ); } else { errput( ErrHead "FMField was pretended\n" ); } return( RET_OK ); } /*! @par Revision history: - 06.02.2001, c - 06.03.2003, adopted from rcfem2 - 20.03.2003 */ int32 fmf_freeDestroy( FMField **p_obj ) { if ((*p_obj) == 0) return( RET_OK ); fmf_free( *p_obj ); free_mem( *p_obj ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_pretend" /*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 - 31.03.2003 */ int32 fmf_pretend( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data ) { if (obj->nAlloc >= 0) { errput( ErrHead "ERR_Overwrite\n" ); } obj->nCell = nCell; obj->nLev = nLev; obj->nRow = nRow; obj->nCol = nCol; obj->val = obj->val0 = data; obj->nAlloc = -1; obj->offset = 0; obj->nColFull = obj->nCol; obj->cellSize = obj->nLev * obj->nRow * obj->nCol; return( RET_OK ); } /* No `(obj->nAlloc >= 0)` check - assumes `obj` to be a FMField with unallocated data meant to point to some buffer. */ int32 fmf_pretend_nc( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data ) { obj->nCell = nCell; obj->nLev = nLev; obj->nRow = nRow; obj->nCol = nCol; obj->val = obj->val0 = data; obj->nAlloc = -1; obj->offset = 0; obj->nColFull = obj->nCol; obj->cellSize = obj->nLev * obj->nRow * obj->nCol; return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_pretend" /*! @par Revision history: - 31.03.2003, c - 04.04.2003 */ int32 fmfr_pretend( FMField *obj, int32 nLev, int32 nRow, int32 nCol, float64 *data, int32 offset, int32 nColFull ) { if (obj->nAlloc >= 0) { errput( ErrHead "ERR_Overwrite\n" ); } obj->nCell = 1; obj->nLev = nLev; obj->nRow = nRow; obj->nCol = nCol; obj->val = obj->val0 = data; obj->nAlloc = -1; obj->offset = offset; obj->nColFull = nColFull; obj->cellSize = obj->nLev * obj->nRow * obj->nCol; return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_getDim" /*! @par Revision history: - 16.04.2003, c */ int32 fmf_getDim( FMField *obj, int32 *p_nCell, int32 *p_nLev, int32 *p_nRow, int32 *p_nCol ) { *p_nCell = obj->nCell; *p_nLev = obj->nLev; *p_nRow = obj->nRow; *p_nCol = obj->nCol; return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_fillC" /*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_fillC( FMField *obj, float64 val ) { int32 i; for (i = 0; i < (obj->nLev * obj->nRow * obj->nCol); i++) { obj->val[i] = val; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_fillC" /*! @par Revision history: - 07.04.2003, c - 08.04.2003 */ int32 fmfr_fillC( FMField *obj, float64 val ) { int32 il, ir, ic, wr, hr; float64 *pr; wr = obj->nColFull; hr = obj->nRow; for (il = 0; il < obj->nLev; il++) { pr = obj->val + obj->offset + wr * hr * il; for (ir = 0; ir < hr; ir++) { for (ic = 0; ic < obj->nCol; ic++) { /* output( "%d %d %d %d (%d) %d %d\n", */ /* il, ir, ic, wr, obj->nCol, hr, pr - obj->val ); */ pr[wr*ir+ic] = val; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_fillC" /*! @par Revision history: - 08.10.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmfc_fillC( FMField *obj, float64 val ) { int32 i; for (i = 0; i < (obj->nCell * obj->nLev * obj->nRow * obj->nCol); i++) { obj->val0[i] = val; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_fill" /*! @par Revision history: - 21.09.2003, c */ int32 fmfc_fill( FMField *obj, float64 *val ) { memcpy( obj->val0, val, obj->nCell * obj->nLev * obj->nRow * obj->nCol * sizeof( float64 ) ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulC" /*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulC( FMField *obj, float64 val ) { int32 i; for (i = 0; i < (obj->nLev * obj->nRow * obj->nCol); i++) { obj->val[i] *= val; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_mulC" /*! @par Revision history: - 03.08.2006, c */ int32 fmfc_mulC( FMField *obj, float64 val ) { int32 i; for (i = 0; i < (obj->nCell * obj->nLev * obj->nRow * obj->nCol); i++) { obj->val0[i] *= val; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mul" /*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_mul( FMField *obj, float64 *val ) { int32 i, il; float64 *pr; for (il = 0; il < (obj->nLev); il++) { pr = obj->val + obj->nCol * obj->nRow * il; for (i = 0; i < (obj->nRow * obj->nCol); i++) { pr[i] *= val[il]; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulAC" /*! objR = const * objA @par Revision history: - 12.05.2005, c */ int32 fmf_mulAC( FMField *objR, FMField *objA, float64 val ) { int32 i, il; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif for (il = 0; il < (objR->nLev); il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < (objR->nRow * objR->nCol); i++) { pr[i] = pa[i] * val; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATC" /*! objR = const * objA^T */ int32 fmf_mulATC( FMField *objR, FMField *objA, float64 val ) { int32 ir, ic, il; int32 wa; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objA->nRow) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) == (%d %d %d)^T * (1)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif wa = objA->nCol; for (il = 0; il < (objR->nLev); il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[ic] = pa[wa*ic+ir] * val; } pr += objR->nCol; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulAF" /*! objR = val * objA @par Revision history: - 23.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulAF( FMField *objR, FMField *objA, float64 *val ) { int32 i, il; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif for (il = 0; il < (objR->nLev); il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < (objR->nRow * objR->nCol); i++) { pr[i] = pa[i] * val[il]; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATF" /*! objR = val * objA^T. Can be used instead of transposition. @par Revision history: - 24.04.2001, c - 05.03.2003, adopted from rcfem2 - 07.04.2003 */ int32 fmf_mulATF( FMField *objR, FMField *objA, float64 *val ) { int32 ir, ic, il; int32 wa; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objA->nRow) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) == (%d %d %d)^T * (?, 1)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif wa = objA->nCol; for (il = 0; il < (objR->nLev); il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[ic] = pa[wa*ic+ir] * val[il]; } pr += objR->nCol; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulAB_nn" /*! objR = objA * objB @par Revision history: - 06.02.2001, c - 23.09.2002 - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulAB_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nCol != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev) ) { errput( ErrHead "ERR_BadMatch: (%d %d %d) == (%d %d %d) * (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nCol; k++) { pr[wr*i+j] += pa[wa*i+k] * pb[wb*k+j]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulAB_n1" /*! objR = objA * objB, @a objB has exactly 1 level, which is used to multiply all levels of @a objA. @par Revision history: - 20.04.2001, c - 23.09.2002 - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulAB_n1( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nCol != objB->nRow) || (objR->nLev != objA->nLev) || (objB->nLev != 1) ) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) * (%d(1) %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; pb = objB->val; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nCol; k++) { pr[wr*i+j] += pa[wa*i+k] * pb[wb*k+j]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulAB_1n" /*! objR = objA * objB, @a objA has exactly 1 level, which is used to multiply all levels of @a objB. */ int32 fmf_mulAB_1n( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nCol != objB->nRow) || (objR->nLev != objB->nLev) || (objA->nLev != 1) ) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) * (%d(1) %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; pa = objA->val; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nCol; k++) { pr[wr*i+j] += pa[wa*i+k] * pb[wb*k+j]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATB_nn" /*! objR = objA^T * objB @par Revision history: - 06.02.2001, c - 23.09.2002 - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulATB_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d)^T * (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nRow; k++) { pr[wr*i+j] += pa[wa*k+i] * pb[wb*k+j]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATB_1n" /*! objR = objA^T * objB @par Revision history: - 20.12.2005, c */ int32 fmf_mulATB_1n( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (1 != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d)^T * (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; pa = objA->val; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nRow; k++) { pr[wr*i+j] += pa[wa*k+i] * pb[wb*k+j]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulABT_nn" /*! objR = objA * objB^T @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulABT_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nRow) || (objA->nCol != objB->nCol) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) * (%d %d %d)^T\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nCol; k++) { pr[objR->nCol*i+j] += pa[wa*i+k] * pb[wb*j+k]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATBT_nn" /*! objR = objA^T * objB^T @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulATBT_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objB->nRow) || (objA->nRow != objB->nCol) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d)^T * (%d %d %d)^T\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nRow; k++) { pr[wr*i+j] += pa[wa*k+i] * pb[wb*j+k]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_mulATBT_1n" /*! objR = objA^T * objB^T, @a objA has exactly 1 level, which is used to multiply all levels of @a objB. @par Revision history: - 09.02.2001, c - 22.02.2001 - 05.03.2003, adopted from rcfem2 */ int32 fmf_mulATBT_1n( FMField *objR, FMField *objA, FMField *objB ) { int32 i, j, k, il, wr, wa, wb; float64 *pr, *pa, *pb; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objB->nRow) || (objA->nRow != objB->nCol) || (1 != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d(1) %d %d)^T * (%d %d %d)^T\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); errput( ErrHead "ERR_BadMatch\n" ); } #endif wr = objR->nCol; wa = objA->nCol; wb = objB->nCol; pa = objA->val; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pb = objB->val + objB->nCol * objB->nRow * il; for (i = 0; i < objR->nRow; i++) { for (j = 0; j < objR->nCol; j++) { pr[wr*i+j] = 0.0; for (k = 0; k < objA->nRow; k++) { pr[wr*i+j] += pa[wa*k+i] * pb[wb*j+k]; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_addAB_nn" /*! objR = objA + objB @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_addAB_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) + (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif for (i = 0; i < objR->nLev * objR->nRow * objR->nCol; i++) { // if (debug == 1) { // printf( "%d %p %p %p %d %f %f\n", // objR->nLev * objR->nRow * objR->nCol, // this, a, b, i, objA->val[i], objB->val[i] ); // debug = 0; // } objR->val[i] = objA->val[i] + objB->val[i]; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_subAB_nn" /*! objR = objA - objB @par Revision history: - 04.04.2003, c */ int32 fmf_subAB_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 ii; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) + (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif for (ii = 0; ii < objR->nLev * objR->nRow * objR->nCol; ii++) { objR->val[ii] = objA->val[ii] - objB->val[ii]; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_addAB_nn" /*! objR = objA + objB @par Revision history: - 15.07.2002, c - 05.03.2003, adopted from rcfem2 */ int32 fmfc_addAB_nn( FMField *objR, FMField *objA, FMField *objB ) { int32 i; #ifdef DEBUG_FMF if ((objR->nCell != objA->nCell) || (objR->nCell != objB->nCell) || (objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d %d) = (%d %d %d %d) + (%d %d %d %d)\n", objR->nCell, objR->nLev, objR->nRow, objR->nCol, objA->nCell, objA->nLev, objA->nRow, objA->nCol, objB->nCell, objB->nLev, objB->nRow, objB->nCol ); } #endif for (i = 0; i < (objR->nCell * objR->nLev * objR->nRow * objR->nCol); i++) { objR->val0[i] = objA->val0[i] + objB->val0[i]; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_averageCACB" /*! objR = c1 * objA + c2 * objB. @par Revision history: - 09.11.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmf_averageCACB( FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB ) { int32 ii; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = c1 * (%d %d %d) + c2 * (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol, objB->nLev, objB->nRow, objB->nCol ); } #endif for (ii = 0; ii < objR->nLev * objR->nRow * objR->nCol; ii++) { objR->val[ii] = c1 * objA->val[ii] + c2 * objB->val[ii]; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_averageCACB" /*! objR = c1 * objA + c2 * objB. @par Revision history: */ int32 fmfc_averageCACB( FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB ) { int32 ii; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objB->nCol) || (objA->nRow != objB->nRow) || (objR->nLev != objA->nLev) || (objR->nLev != objB->nLev) || (objR->nCell != objA->nCell) || (objR->nCell != objB->nCell)) { errput( ErrHead "ERR_BadMatch: (%d %d %d %d) = c1 * (%d %d %d %d)" " + c2 * (%d %d %d %d)\n", objR->nCell, objR->nLev, objR->nRow, objR->nCol, objA->nCell, objA->nLev, objA->nRow, objA->nCol, objB->nCell, objB->nLev, objB->nRow, objB->nCol ); } #endif for (ii = 0; ii < objR->nAlloc; ii++) { objR->val0[ii] = c1 * objA->val0[ii] + c2 * objB->val0[ii]; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_normalize" /*! Vectors of zero norms are copied without warning... @par Revision history: - 21.03.2003, c */ int32 fmfc_normalize( FMField *objR, FMField *objA ) { int32 ii, il, ic, dim; float64 norm; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev) || (objR->nCell != objA->nCell)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif pr = objR->val0; pa = objA->val0; dim = objR->nRow * objR->nCol; for (ic = 0; ic < objR->nCell; ic++) { for (il = 0; il < (objR->nLev); il++) { norm = 0.0; for (ii = 0; ii < dim; ii++) { norm += pa[ii] * pa[ii]; } if (norm > MachEps) { for (ii = 0; ii < dim; ii++) { pr[ii] = pa[ii] / norm; } } else { pr[ii] = pa[ii]; } pr += dim; pa += dim; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_addAmulF" /*! @par Revision history: - 23.05.2005, c - 25.05.2005 */ int32 fmf_addAmulF( FMField *objR, FMField *objA, float64 *val ) { int32 ii, il; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d) * C\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif pr = objR->val; pa = objA->val; for (il = 0; il < (objR->nLev); il++) { for (ii = 0; ii < (objR->nRow * objR->nCol); ii++) { pr[ii] += pa[ii] * val[il]; } pr += objR->nCol * objR->nRow; pa += objA->nCol * objA->nRow; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_addAmulF" /*! @par Revision history: - 15.10.2001, c - 17.10.2001 - 05.03.2003, adopted from rcfem2 */ int32 fmfc_addAmulF( FMField *objR, FMField *objA, float64 *val ) { int32 i, il, ic; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev) || (objR->nCell != objA->nCell)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif pr = objR->val0; pa = objA->val0; for (ic = 0; ic < objR->nCell; ic++) { for (il = 0; il < (objR->nLev); il++) { for (i = 0; i < (objR->nRow * objR->nCol); i++) { pr[i] += pa[i] * val[il]; } pr += objR->nCol * objR->nRow; pa += objA->nCol * objA->nRow; } val += objR->nLev; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_copyAmulC" /*! @par Revision history: - 02.04.2003, c */ int32 fmf_copyAmulC( FMField *objR, FMField *objA, float64 val ) { int32 ii; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif pr = objR->val; pa = objA->val; for (ii = 0; ii < (objR->nLev * objR->nRow * objR->nCol); ii++) { pr[ii] = pa[ii] * val; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_copyAmulF" /*! @par Revision history: - 18.10.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmfc_copyAmulF( FMField *objR, FMField *objA, float64 *val ) { int32 i, il, ic; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev) || (objR->nCell != objA->nCell)) { errput( ErrHead "ERR_BadMatch\n" ); } #endif pr = objR->val0; pa = objA->val0; for (ic = 0; ic < objR->nCell; ic++) { for (il = 0; il < (objR->nLev); il++) { for (i = 0; i < (objR->nRow * objR->nCol); i++) { pr[i] = pa[i] * val[il]; } pr += objR->nCol * objR->nRow; pa += objA->nCol * objA->nRow; } val += objR->nLev; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_addA_blockNC" /*! Adds @a objA as a block into position (@a row, @a col) of @a objR. Rectangular submatrix support for @a objR. No size checks! @par Revision history: - 24.04.2001, c - 05.03.2003, adopted from rcfem2 - 31.03.2003 */ int32 fmfr_addA_blockNC( FMField *objR, FMField *objA, int32 row, int32 col ) { int32 il, ir, ic; int32 wa, wr, ha, hr; float64 *pr, *pa; wa = objA->nCol; wr = objR->nColFull; ha = objA->nRow; hr = objR->nRow; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->offset + wr * hr * il + wr * row + col; pa = objA->val + wa * ha * il; for (ir = 0; ir < ha; ir++) { for (ic = 0; ic < wa; ic++) { pr[ic] += pa[ic]; } pa += wa; pr += wr; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_addAT_blockNC" /*! Adds @a objA^T as a block into position (@a row, @a col) of @a objR. Can be used instead of transposition. Rectangular submatrix support for @a objR. No size checks! @par Revision history: - 24.04.2001, c - 05.03.2003, adopted from rcfem2 - 31.03.2003 - 21.01.2004 */ int32 fmfr_addAT_blockNC( FMField *objR, FMField *objA, int32 row, int32 col ) { int32 il, ir, ic; int32 wa, wr, ha, hr; float64 *pr, *pa; wa = objA->nCol; wr = objR->nColFull; ha = objA->nRow; hr = objR->nRow; /* output( "%d %d %d %d %d %d\n", hr, wr, ha, wa, row, col ); */ for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->offset + wr * hr * il + wr * row + col; pa = objA->val + wa * ha * il; for (ir = 0; ir < wa; ir++) { for (ic = 0; ic < ha; ic++) { /* output( "ir: %d ic: %d -> %d\n", ir, ic, pr + ic - objR->val ); */ pr[ic] += pa[wa*ic+ir]; } pr += wr; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_sumLevelsMulF" /*! @par Revision history: - 26.04.2001, c - 19.01.2004, adopted from rcfem2 */ int32 fmf_sumLevelsMulF( FMField *objR, FMField *objA, float64 *val ) { int32 il, i; float64 *pa; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != 1)) { errput( ErrHead "ERR_BadMatch (%d == %d, %d == %d, %d == 1)\n", objR->nRow, objA->nRow, objR->nCol, objA->nCol, objR->nLev ); } #endif fmf_fillC( objR, 0.0 ); for (il = 0; il < objA->nLev; il++) { pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < (objR->nRow * objR->nCol); i++) { objR->val[i] += pa[i] * val[il]; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_sumLevelsTMulF" /*! @a objA^T. @par Revision history: - 23.05.2005, c */ int32 fmf_sumLevelsTMulF( FMField *objR, FMField *objA, float64 *val ) { int32 il, ir, ic, wr, wc; float64 *pa, *pr; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objA->nRow) || (objR->nLev != 1)) { errput( ErrHead "ERR_BadMatch (%d == %d, %d == %d, %d == 1)\n", objR->nRow, objA->nCol, objR->nCol, objA->nRow, objR->nLev ); } #endif wr = objR->nCol; pr = objR->val; wc = objA->nCol; fmf_fillC( objR, 0.0 ); for (il = 0; il < objA->nLev; il++) { pa = objA->val + objA->nCol * objA->nRow * il; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[wr*ir+ic] += pa[wc*ic+ir] * val[il]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_sumLevelsMulF" /*! Rectangular submatrix support for @a objR. @par Revision history: - 26.04.2001, c - 05.03.2003, adopted from rcfem2 - 31.03.2003 */ int32 fmfr_sumLevelsMulF( FMField *objR, FMField *objA, float64 *val ) { int32 il, ir, ic, ii; float64 *pa, *pr; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != 1)) { errput( ErrHead "ERR_BadMatch (%d == %d, %d == %d, %d == 1)\n", objR->nRow, objA->nRow, objR->nCol, objA->nCol, objR->nLev ); } #endif /* output( "%d %d\n", objR->offset, objR->nColFull ); */ pr = objR->val + objR->offset; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[ic] = 0.0; } pr += objR->nColFull; } for (il = 0; il < objA->nLev; il++) { pr = objR->val + objR->offset; pa = objA->val + objA->nCol * objA->nRow * il; ii = 0; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++, ii++) { pr[ic] += pa[ii] * val[il]; } pr += objR->nColFull; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_sumLevelsTMulF" /*! Rectangular submatrix support for @a objR. @a objA^T. @par Revision history: - 23.05.2005, c */ int32 fmfr_sumLevelsTMulF( FMField *objR, FMField *objA, float64 *val ) { int32 il, ir, ic, wr, wa; float64 *pa, *pr; #ifdef DEBUG_FMF if ((objR->nRow != objA->nCol) || (objR->nCol != objA->nRow) || (objR->nLev != 1)) { errput( ErrHead "ERR_BadMatch (%d == %d, %d == %d, %d == 1)\n", objR->nRow, objA->nCol, objR->nCol, objA->nRow, objR->nLev ); } #endif wr = objR->nColFull; wa = objA->nCol; pr = objR->val + objR->offset; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[ic] = 0.0; } pr += wr; } for (il = 0; il < objA->nLev; il++) { pr = objR->val + objR->offset; pa = objA->val + objA->nCol * objA->nRow * il; for (ir = 0; ir < objR->nRow; ir++) { for (ic = 0; ic < objR->nCol; ic++) { pr[ic] += pa[wa*ic+ir] * val[il]; } pr += objR->nColFull; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_copy" /*! @par Revision history: - 06.02.2001, c - 17.10.2001 - 05.03.2003, adopted from rcfem2 */ int32 fmf_copy( FMField *objR, FMField *objA ) { if (objR->cellSize != objA->cellSize) { errput( ErrHead "ERR_BadMatch\n" ); } memcpy( objR->val, objA->val, objA->cellSize * sizeof( float64 ) ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_copy" /*! @par Revision history: - 04.04.2003, c - 07.04.2003 - 20.01.2004 */ int32 fmfr_copy( FMField *objR, FMField *objA ) { int32 il, ir, ic; int32 wa, wr, ha, hr; float64 *pa, *pr; #ifdef DEBUG_FMF if ((objR->nRow != objA->nRow) || (objR->nCol != objA->nCol) || (objR->nLev != objA->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) = (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif wa = objA->nCol; wr = objR->nColFull; ha = objA->nRow; hr = objR->nRow; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->offset + wr * hr * il; pa = objA->val + wa * ha * il; for (ir = 0; ir < ha; ir++) { for (ic = 0; ic < wa; ic++) { pr[wr*ir+ic] = pa[wa*ir+ic]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_copy" /*! @par Revision history: - 17.10.2001, c - 05.03.2003, adopted from rcfem2 */ int32 fmfc_copy( FMField *objR, FMField *objA ) { // Cannot use nAlloc because of pretended FMFields... if ((objR->nCell * objR->nLev * objR->nRow * objR->nCol) != (objA->nCell * objA->nLev * objA->nRow * objA->nCol)) { errput( ErrHead "ERR_BadMatch\n" ); } memcpy( objR->val0, objA->val0, objA->nCell * objA->nLev * objA->nRow * objA->nCol * sizeof( float64 ) ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_print" /*! @par Revision history: - 06.02.2001, c - 14.11.2001 - 05.03.2003, adopted from rcfem2 - 18.03.2003 - 08.04.2003 */ int32 fmf_print( FMField *obj, FILE *file, int32 mode ) { int32 i, j, il; if (mode == 0) { fprintf( file, FI32" "FI32" "FI32"\n", obj->nLev, obj->nRow, obj->nCol ); for (il = 0; il < obj->nLev; il++) { fprintf( file, FI32"\n", il ); for (i = 0; i < obj->nRow; i++) { for (j = 0; j < obj->nCol; j++) { /* fprintf( file, " %.12e", obj->val[obj->nCol*(obj->nRow*il+i)+j] ); */ fprintf( file, " %.6e", obj->val[obj->nCol*(obj->nRow*il+i)+j] ); } fprintf( file, "\n" ); } } } else if (mode == 1) { fprintf( file, "nCell: "FI32" nLev: "FI32" nRow: "FI32" nCol: "FI32"\n", obj->nCell, obj->nLev, obj->nRow, obj->nCol ); fprintf( file, "offset: "FI32" nColFull: "FI32" nAlloc: "FI32 " cellSize "FI32"\n", obj->offset, obj->nColFull, obj->nAlloc, obj->cellSize ); } else { errput( ErrHead "ERR_Switch!\n" ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_print" /*! @par Revision history: - 04.12.2003, c */ int32 fmfr_print( FMField *obj, FILE *file, int32 mode ) { int32 i, j, il; if (mode == 0) { fprintf( file, FI32" "FI32" "FI32" "FI32" "FI32"\n", obj->nLev, obj->nRow, obj->nCol, obj->offset, obj->nColFull ); for (il = 0; il < obj->nLev; il++) { fprintf( file, FI32"\n", il ); for (i = 0; i < obj->nRow; i++) { for (j = 0; j < obj->nCol; j++) { fprintf( file, " %.12e", obj->val[obj->offset+obj->nColFull*(obj->nRow*il+i)+j] ); } fprintf( file, "\n" ); } } } else if (mode == 1) { fmf_print( obj, file, mode ); } else { errput( ErrHead "ERR_Switch!\n" ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_save" /*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 - 18.03.2003 */ int32 fmf_save( FMField *obj, const char *fileName, int32 mode ) { FILE *file; if ((file = fopen( fileName, "w" )) == 0) { errput( ErrHead "ERR_FileOpen\n" ); } fmf_print( obj, file, mode ); fclose( file ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfr_save" /*! @par Revision history: - 15.04.2004, c */ int32 fmfr_save( FMField *obj, const char *fileName, int32 mode ) { FILE *file; if ((file = fopen( fileName, "w" )) == 0) { errput( ErrHead "ERR_FileOpen\n" ); } fmfr_print( obj, file, mode ); fclose( file ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmfc_save" /*! @par Revision history: - 15.07.2002, c - 26.07.2002 - 05.03.2003, adopted from rcfem2 - 18.03.2003 */ int32 fmfc_save( FMField *obj, const char *fileName, int32 mode ) { int32 ii; FILE *file; if ((file = fopen( fileName, "w" )) == 0) { errput( ErrHead "ERR_FileOpen\n" ); } if (mode == 0) { FMF_SetFirst( obj ); for (ii = 0; ii < obj->nCell; ii++) { fmf_print( obj, file, 0 ); FMF_SetCellNext( obj ); } } else if (mode == 1) { fprintf( file, FI32"\n", obj->nAlloc ); for (ii = 0; ii < obj->nAlloc; ii++) { fprintf( file, FI32" %.12e\n", ii, obj->val0[ii] ); } } fclose( file ); return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_gMtx2VecDUL3x3" /*! @par Revision history: - 20.04.2001, c - 22.04.2001 - 17.09.2001 - 20.01.2004, adopted from rcfem2 */ int32 fmf_gMtx2VecDUL3x3( FMField *objR, FMField *objA ) { int32 i, il; static int32 order[][9] = {{0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 3, 1, 2, 0, 0, 0, 0, 0}, {0, 4, 8, 1, 2, 5, 3, 6, 7}}; int32 *pord; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != (objA->nRow * objA->nCol)) || (objR->nLev != objA->nLev) || (objR->nCol != 1) || (objA->nRow > 3) || (objA->nCol != objA->nRow)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) <-> (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif pord = order[objA->nRow-1]; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < (objR->nRow); i++) { pr[i] = pa[pord[i]]; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "fmf_gMtx2VecDLU3x3" /*! @par Revision history: - 22.04.2001, c - 17.09.2001 - 20.01.2004, adopted from rcfem2 */ int32 fmf_gMtx2VecDLU3x3( FMField *objR, FMField *objA ) { int32 i, il; static int32 order[][9] = {{0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 3, 2, 1, 0, 0, 0, 0, 0}, {0, 4, 8, 3, 6, 7, 1, 2, 5}}; int32 *pord; float64 *pr, *pa; #ifdef DEBUG_FMF if ((objR->nRow != (objA->nRow * objA->nCol)) || (objR->nLev != objA->nLev) || (objR->nCol != 1) || (objA->nRow > 3) || (objA->nCol != objA->nRow)) { errput( ErrHead "ERR_BadMatch: (%d %d %d) <-> (%d %d %d)\n", objR->nLev, objR->nRow, objR->nCol, objA->nLev, objA->nRow, objA->nCol ); } #endif pord = order[objA->nRow-1]; for (il = 0; il < objR->nLev; il++) { pr = objR->val + objR->nCol * objR->nRow * il; pa = objA->val + objA->nCol * objA->nRow * il; for (i = 0; i < (objR->nRow); i++) { pr[i] = pa[pord[i]]; } } return( RET_OK ); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/fmfield.h000066400000000000000000000122331247364230400233770ustar00rootroot00000000000000/*! @par Revision history: - 06.02.2001, c - 05.03.2003, adopted from rcfem2 */ #ifndef _FMFIELD_H_ #define _FMFIELD_H_ #include "common.h" BEGIN_C_DECLS #define MachEps 1e-16 /*! @par Revision history: - 06.02.2001, c - 27.04.2001 - 31.03.2003 */ typedef struct FMField { int32 nCell; int32 nLev; int32 nRow; int32 nCol; float64 *val0; float64 *val; int32 nAlloc; int32 cellSize; int32 offset; int32 nColFull; } FMField; /*! FMField cell pointer manipulation. @par Revision history: - 27.04.2001, c - 30.04.2001 - 11.07.2002 */ #define FMF_PtrFirst( obj ) ((obj)->val0) #define FMF_PtrCurrent( obj ) ((obj)->val) #define FMF_PtrCell( obj, n ) ((obj)->val0 + (n) * (obj)->cellSize) #define FMF_SetFirst( obj ) ((obj)->val = (obj)->val0) #define FMF_SetCell( obj, n ) ((obj)->val = (obj)->val0 + (n) * (obj)->cellSize) #define FMF_SetCellX1( obj, n ) do {\ if ((obj)->nCell > 1) ((obj)->val = (obj)->val0 + (n) * (obj)->cellSize); \ } while (0) #define FMF_SetCellNext( obj ) ((obj)->val += (obj)->cellSize) /*! Access to row @ir of level @a il of FMField @a obj. @par Revision history: - 22.04.2001, c */ #define FMF_PtrRowOfLevel( obj, il, ir ) ((obj)->val + \ (obj)->nCol * ((obj)->nRow * (il) + (ir))) /*! Access to level @a il of FMField @a obj. @par Revision history: - 22.04.2001, c */ #define FMF_PtrLevel( obj, il ) ((obj)->val + \ (obj)->nCol * (obj)->nRow * (il)) int32 fmf_alloc( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol ); int32 fmf_createAlloc( FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol ); int32 fmf_createAllocInit( FMField **p_obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *val ); int32 fmf_createAllocCopy( FMField **p_obj, FMField *obj ); int32 fmf_free( FMField *obj ); int32 fmf_freeDestroy( FMField **p_obj ); int32 fmf_pretend( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data ); int32 fmf_pretend_nc( FMField *obj, int32 nCell, int32 nLev, int32 nRow, int32 nCol, float64 *data ); int32 fmfr_pretend( FMField *obj, int32 nLev, int32 nRow, int32 nCol, float64 *data, int32 offset, int32 nColFull ); int32 fmf_getDim( FMField *obj, int32 *p_nCell, int32 *p_nLev, int32 *p_nRow, int32 *p_nCol ); int32 fmf_fillC( FMField *obj, float64 val ); int32 fmfr_fillC( FMField *obj, float64 val ); int32 fmfc_fillC( FMField *obj, float64 val ); int32 fmfc_fill( FMField *obj, float64 *val ); int32 fmf_mulC( FMField *obj, float64 val ); int32 fmfc_mulC( FMField *obj, float64 val ); int32 fmf_mul( FMField *obj, float64 *val ); int32 fmf_mulAC( FMField *objR, FMField *objA, float64 val ); int32 fmf_mulATC( FMField *objR, FMField *objA, float64 val ); int32 fmf_mulAF( FMField *objR, FMField *objA, float64 *val ); int32 fmf_mulATF( FMField *objR, FMField *objA, float64 *val ); int32 fmf_mulAB_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulAB_n1( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulAB_1n( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulATB_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulATB_1n( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulABT_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulATBT_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_mulATBT_1n( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_addAB_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_subAB_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmfc_addAB_nn( FMField *objR, FMField *objA, FMField *objB ); int32 fmf_averageCACB( FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB ); int32 fmfc_averageCACB( FMField *objR, float64 c1, FMField *objA, float64 c2, FMField *objB ); int32 fmfc_normalize( FMField *objR, FMField *objA ); int32 fmf_addAmulF( FMField *objR, FMField *objA, float64 *val ); int32 fmfc_addAmulF( FMField *objR, FMField *objA, float64 *val ); int32 fmf_copyAmulC( FMField *objR, FMField *objA, float64 val ); int32 fmfc_copyAmulF( FMField *objR, FMField *objA, float64 *val ); int32 fmfr_addA_blockNC( FMField *objR, FMField *objA, int32 row, int32 col ); int32 fmfr_addAT_blockNC( FMField *objR, FMField *objA, int32 row, int32 col ); int32 fmf_sumLevelsMulF( FMField *objR, FMField *objA, float64 *val ); int32 fmf_sumLevelsTMulF( FMField *objR, FMField *objA, float64 *val ); int32 fmfr_sumLevelsMulF( FMField *objR, FMField *objA, float64 *val ); int32 fmfr_sumLevelsTMulF( FMField *objR, FMField *objA, float64 *val ); int32 fmf_copy( FMField *objR, FMField *objA ); int32 fmfr_copy( FMField *objR, FMField *objA ); int32 fmfc_copy( FMField *objR, FMField *objA ); int32 fmf_print( FMField *obj, FILE *file, int32 mode ); int32 fmfr_print( FMField *obj, FILE *file, int32 mode ); int32 fmf_save( FMField *obj, const char *fileName, int32 mode ); int32 fmfr_save( FMField *obj, const char *fileName, int32 mode ); int32 fmfc_save( FMField *obj, const char *fileName, int32 mode ); int32 fmf_gMtx2VecDUL3x3( FMField *objR, FMField *objA ); int32 fmf_gMtx2VecDLU3x3( FMField *objR, FMField *objA ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/geommech.c000066400000000000000000000535621247364230400235620ustar00rootroot00000000000000#include "geommech.h" #define Pi 3.14159265358979 #undef __FUNC__ #define __FUNC__ "geme_invert3x3" /*! @par Revision history: - 09.02.2001, c - 22.02.2001 - 06.03.2003, adopted from rcfem2 - 21.08.2003 */ int32 geme_invert3x3( FMField *mtxI, FMField *mtx ) { int32 il, dim; int32 tmp1; float64 det, *jI, *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { tmp1 = dim*dim*il; jI = mtxI->val + tmp1; j = mtx->val + tmp1; switch (dim) { case 1: det = 1.0 / j[0]; /* if (fabs(det) <= MachEps) errput( ErrHead "ERR_Numeric" ); */ jI[0] = 1.0 * det; break; case 2: det = 1.0 / (j[0] * j[3] - j[1] * j[2]); /* if (fabs(det) <= MachEps) errput( ErrHead "ERR_Numeric" ); */ jI[0] = j[3] * det; jI[1] = -j[1] * det; jI[2] = -j[2] * det; jI[3] = j[0] * det; break; case 3: jI[0] = (j[4]*j[8] - j[7]*j[5]); jI[1] = -(j[1]*j[8] - j[2]*j[7]); jI[2] = (j[1]*j[5] - j[2]*j[4]); jI[3] = -(j[3]*j[8] - j[5]*j[6]); jI[4] = (j[0]*j[8] - j[2]*j[6]); jI[5] = -(j[0]*j[5] - j[2]*j[3]); jI[6] = (j[3]*j[7] - j[4]*j[6]); jI[7] = -(j[0]*j[7] - j[1]*j[6]); jI[8] = (j[0]*j[4] - j[1]*j[3]); det = 1.0 / (j[0] * jI[0] + j[1] * jI[3] + j[2] * jI[6]); /* if (fabs(det) <= MachEps) errput( ErrHead "ERR_Numeric" ); */ jI[0] *= det; jI[1] *= det; jI[2] *= det; jI[3] *= det; jI[4] *= det; jI[5] *= det; jI[6] *= det; jI[7] *= det; jI[8] *= det; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_invert4x4" int32 geme_invert4x4( FMField *mtxI, FMField *mtx ) { int32 ii, il; float64 det, buf[16]; float64 *pm, *pi; for (il = 0; il < mtx->nLev; il++) { pm = FMF_PtrLevel( mtx, il ); pi = FMF_PtrLevel( mtxI, il ); buf[0] = pm[5]*pm[10]*pm[15] - pm[5]*pm[11]*pm[14] - pm[9]*pm[6]*pm[15] + pm[9]*pm[7]*pm[14] + pm[13]*pm[6]*pm[11] - pm[13]*pm[7]*pm[10]; buf[4] = -pm[4]*pm[10]*pm[15] + pm[4]*pm[11]*pm[14] + pm[8]*pm[6]*pm[15] - pm[8]*pm[7]*pm[14] - pm[12]*pm[6]*pm[11] + pm[12]*pm[7]*pm[10]; buf[8] = pm[4]*pm[9]*pm[15] - pm[4]*pm[11]*pm[13] - pm[8]*pm[5]*pm[15] + pm[8]*pm[7]*pm[13] + pm[12]*pm[5]*pm[11] - pm[12]*pm[7]*pm[9]; buf[12] = -pm[4]*pm[9]*pm[14] + pm[4]*pm[10]*pm[13] + pm[8]*pm[5]*pm[14] - pm[8]*pm[6]*pm[13] - pm[12]*pm[5]*pm[10] + pm[12]*pm[6]*pm[9]; buf[1] = -pm[1]*pm[10]*pm[15] + pm[1]*pm[11]*pm[14] + pm[9]*pm[2]*pm[15] - pm[9]*pm[3]*pm[14] - pm[13]*pm[2]*pm[11] + pm[13]*pm[3]*pm[10]; buf[5] = pm[0]*pm[10]*pm[15] - pm[0]*pm[11]*pm[14] - pm[8]*pm[2]*pm[15] + pm[8]*pm[3]*pm[14] + pm[12]*pm[2]*pm[11] - pm[12]*pm[3]*pm[10]; buf[9] = -pm[0]*pm[9]*pm[15] + pm[0]*pm[11]*pm[13] + pm[8]*pm[1]*pm[15] - pm[8]*pm[3]*pm[13] - pm[12]*pm[1]*pm[11] + pm[12]*pm[3]*pm[9]; buf[13] = pm[0]*pm[9]*pm[14] - pm[0]*pm[10]*pm[13] - pm[8]*pm[1]*pm[14] + pm[8]*pm[2]*pm[13] + pm[12]*pm[1]*pm[10] - pm[12]*pm[2]*pm[9]; buf[2] = pm[1]*pm[6]*pm[15] - pm[1]*pm[7]*pm[14] - pm[5]*pm[2]*pm[15] + pm[5]*pm[3]*pm[14] + pm[13]*pm[2]*pm[7] - pm[13]*pm[3]*pm[6]; buf[6] = -pm[0]*pm[6]*pm[15] + pm[0]*pm[7]*pm[14] + pm[4]*pm[2]*pm[15] - pm[4]*pm[3]*pm[14] - pm[12]*pm[2]*pm[7] + pm[12]*pm[3]*pm[6]; buf[10] = pm[0]*pm[5]*pm[15] - pm[0]*pm[7]*pm[13] - pm[4]*pm[1]*pm[15] + pm[4]*pm[3]*pm[13] + pm[12]*pm[1]*pm[7] - pm[12]*pm[3]*pm[5]; buf[14] = -pm[0]*pm[5]*pm[14] + pm[0]*pm[6]*pm[13] + pm[4]*pm[1]*pm[14] - pm[4]*pm[2]*pm[13] - pm[12]*pm[1]*pm[6] + pm[12]*pm[2]*pm[5]; buf[3] = -pm[1]*pm[6]*pm[11] + pm[1]*pm[7]*pm[10] + pm[5]*pm[2]*pm[11] - pm[5]*pm[3]*pm[10] - pm[9]*pm[2]*pm[7] + pm[9]*pm[3]*pm[6]; buf[7] = pm[0]*pm[6]*pm[11] - pm[0]*pm[7]*pm[10] - pm[4]*pm[2]*pm[11] + pm[4]*pm[3]*pm[10] + pm[8]*pm[2]*pm[7] - pm[8]*pm[3]*pm[6]; buf[11] = -pm[0]*pm[5]*pm[11] + pm[0]*pm[7]*pm[9] + pm[4]*pm[1]*pm[11] - pm[4]*pm[3]*pm[9] - pm[8]*pm[1]*pm[7] + pm[8]*pm[3]*pm[5]; buf[15] = pm[0]*pm[5]*pm[10] - pm[0]*pm[6]*pm[9] - pm[4]*pm[1]*pm[10] + pm[4]*pm[2]*pm[9] + pm[8]*pm[1]*pm[6] - pm[8]*pm[2]*pm[5]; det = pm[0]*buf[0] + pm[1]*buf[4] + pm[2]*buf[8] + pm[3]*buf[12]; if (fabs(det) == 1e-16) { errput("singular matrix!\n"); } det = 1.0 / det; for (ii = 0; ii < 16; ii++) { pi[ii] = buf[ii] * det; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_tensor2vectorS3" /*! @par Revision history: - 13.11.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_tensor2vectorS3( FMField *vec, FMField *mtx ) { int32 il, dim; float64 *pmtx, *pvec; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { pvec = FMF_PtrLevel( vec, il ); pmtx = FMF_PtrLevel( mtx, il ); switch (dim) { case 1: pvec[0] = pmtx[0]; break; case 2: pvec[0] = pmtx[0]; pvec[1] = pmtx[3]; pvec[2] = pmtx[1]; break; case 3: pvec[0] = pmtx[0]; pvec[1] = pmtx[4]; pvec[2] = pmtx[8]; pvec[3] = pmtx[1]; pvec[4] = pmtx[2]; pvec[5] = pmtx[5]; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_det3x3" /*! @par Revision history: - 09.02.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_det3x3( float64 *det, FMField *mtx ) { int32 il, dim; float64 *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*dim*il; switch (dim) { case 1: det[il] = j[0]; break; case 2: det[il] = j[0] * j[3] - j[1] * j[2]; break; case 3: det[il] = j[0]*j[4]*j[8] + j[3]*j[7]*j[2] + j[1]*j[5]*j[6] - j[2]*j[4]*j[6] - j[5]*j[7]*j[0] - j[1]*j[3]*j[8]; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_trace3x3" /*! @par Revision history: - 13.11.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_trace3x3( float64 *tr, FMField *mtx ) { int32 il, dim; float64 *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*dim*il; switch (dim) { case 1: tr[il] = j[0]; break; case 2: tr[il] = j[0] + j[3]; break; case 3: tr[il] = j[0] +j[4] + j[8]; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_invar1" int32 geme_invar1( float64 *invar, FMField *mtx ) { int32 il, dim; float64 *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*dim*il; switch (dim) { case 1: invar[il] = j[0]; break; case 2: /* plain strain */ invar[il] = 1.0 + j[0] + j[3]; break; case 3: invar[il] = j[0] +j[4] + j[8]; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_invar2" int32 geme_invar2( float64 *invar, FMField *mtx ) { int32 il, dim; float64 *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*dim*il; switch (dim) { case 1: /* no sense in 1D */ invar[il] = 0.0; break; case 2: /* plain strain */ invar[il] = j[0]*j[3] + j[0] + j[3] - j[1]*j[1]; break; case 3: invar[il] = j[0]*j[4] + j[0]*j[8] + j[4]*j[8] - j[1]*j[1] - j[2]*j[2] - j[5]*j[5]; break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_norm3" /*! @par Revision history: - 23.02.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_norm3( float64 *out, FMField *mtx ) { int32 il, dim; float64 *j; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*il; switch (dim) { case 1: out[il] = abs(j[0]); break; case 2: out[il] = sqrt( j[0] * j[0] + j[1] * j[1] ); break; case 3: out[il] = sqrt( j[0] * j[0] + j[1] * j[1] + j[2] * j[2] ); break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_eig3x3" /*! @par Revision history: - 18.12.2003, c */ int32 geme_eig3x3( float64 *out, FMField *mtx ) { int32 il, dim; float64 *j, *val; dim = mtx->nRow; for (il = 0; il < mtx->nLev; il++) { j = mtx->val + dim*dim*il; val = out + dim*il; switch (dim) { case 1: val[0] = j[0]; break; case 2: { // See Numerical Recipes. float64 b, c, q; b = -j[0] - j[2]; c = j[0] * j[2] - j[1] * j[3]; q = - 0.5 * (b + Sgn(b) * sqrt( b * b - 4.0 * c )); val[0] = q; val[1] = c / q; } break; case 3: { // See Numerical Recipes. float64 a, b, c, q, r, t; a = -(j[0] + j[4] + j[8]); b = j[0] * j[4] + j[0] * j[8] + j[4] * j[8] - j[3] * j[1] - j[6] * j[2] - j[7] * j[5]; c = j[0] * j[5] * j[7] + j[4] * j[6] * j[2] + j[8] * j[1] * j[3] - j[6] * j[1] * j[5] - j[0] * j[4] * j[8] - j[3] * j[2] * j[7]; q = (a * a - 3.0 * b) / 9.0; r = (2.0 * a * a * a - 9.0 * a * b + 27.0 * c) / 54.0; if (((q * q * q) - (r * r)) > MachEps) { t = acos( r / sqrt( q * q * q ) ); } else { t = Pi; } /* output( "%e %e %e\n", r * r, q * q * q, t ); */ val[0] = -2.0 * sqrt( q ) * cos( (t) / 3.0 ) - a / 3.0; val[1] = -2.0 * sqrt( q ) * cos( (t+2.0*Pi) / 3.0 ) - a / 3.0; val[2] = -2.0 * sqrt( q ) * cos( (t-2.0*Pi) / 3.0 ) - a / 3.0; } break; default: errput( ErrHead "ERR_Switch\n" ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_mulAVSB3" /*! R = A B, A is upper triangle stored as vector, for dim <= 3. e.g. \sigma n == \sigma^T n, \sigma stored as vector (sym). @par Revision history: - 06.09.2006, c */ int32 geme_mulAVSB3( FMField *out, FMField *vs, FMField *in ) { int32 iqp, ir, ic, ii, dim, sym, nQP, nc; int32 _is[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 4, 3, 1, 5, 4, 5, 2}; int32 *is; float64 *pout, *pvs, *pin; sym = vs->nRow; nQP = vs->nLev; dim = in->nRow; nc = out->nCol; #ifdef DEBUG_FMF if ((sym != (dim * (dim + 1) / 2)) || (out->nLev != in->nLev) || (vs->nCol != 1) || (out->nLev != vs->nLev) || (nc != in->nCol) || (dim != out->nRow)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, vs->nLev, vs->nRow, vs->nCol, in->nLev, in->nRow, in->nCol ); } #endif is = _is + 9 * (dim - 1); for (iqp = 0; iqp < nQP; iqp++) { pvs = FMF_PtrLevel( vs, iqp ); pout = FMF_PtrLevel( out, iqp ); pin = FMF_PtrLevel( in, iqp ); for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < nc; ic++) { pout[nc*ir+ic] = 0.0; for (ii = 0; ii < dim; ii++) { pout[nc*ir+ic] += pvs[is[dim*ir+ii]] * pin[nc*ii+ic]; } } } } return( RET_OK ); } /*! @par Revision history: - 14.11.2001, c - 15.11.2001 */ int32 t2i3D[] = {0, 1, 2, 0, 0, 1}; int32 t2j3D[] = {0, 1, 2, 1, 2, 2}; int32 t4s3D[] = {0, 3, 4, 3, 1, 5, 4, 5, 2}; int32 t2i2D[] = {0, 1, 0}; int32 t2j2D[] = {0, 1, 1}; int32 t4s2D[] = {0, 2, 2, 1}; int32 t2i1D[] = {0}; int32 t2j1D[] = {0}; int32 t4s1D[] = {0}; #undef __FUNC__ #define __FUNC__ "geme_mulT2ST2S_T4S_ikjl" /*! @par Revision history: - 14.11.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_mulT2ST2S_T4S_ikjl( FMField *t4, FMField *t21, FMField *t22 ) { int32 iqp, ir, ic, ii, ij, ik, il, s1, s2; int32 sym = t4->nRow, dim; float64 *pt4, *pt21, *pt22; int32 *t2i = 0, *t2j = 0, *t4s = 0; dim = sym2dim( sym ); switch (dim) { case 1: t2i = t2i1D; t2j = t2j1D; t4s = t4s1D; break; case 2: t2i = t2i2D; t2j = t2j2D; t4s = t4s2D; break; case 3: t2i = t2i3D; t2j = t2j3D; t4s = t4s3D; break; default: errput( ErrHead "ERR_Switch\n" ); } for (iqp = 0; iqp < t4->nLev; iqp++) { pt4 = FMF_PtrLevel( t4, iqp ); pt21 = FMF_PtrLevel( t21, iqp ); pt22 = FMF_PtrLevel( t22, iqp ); for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { ii = t2i[ir]; ij = t2j[ir]; ik = t2i[ic]; il = t2j[ic]; s1 = t4s[dim*ii+ik]; s2 = t4s[dim*ij+il]; pt4[sym*ir+ic] = pt21[s1] * pt22[s2]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_mulT2ST2S_T4S_iljk" /*! @par Revision history: - 14.11.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_mulT2ST2S_T4S_iljk( FMField *t4, FMField *t21, FMField *t22 ) { int32 iqp, ir, ic, ii, ij, ik, il, s1, s2; int32 sym = t4->nRow, dim; float64 *pt4, *pt21, *pt22; int32 *t2i = 0, *t2j = 0, *t4s = 0; dim = sym2dim( sym ); switch (dim) { case 1: t2i = t2i1D; t2j = t2j1D; t4s = t4s1D; break; case 2: t2i = t2i2D; t2j = t2j2D; t4s = t4s2D; break; case 3: t2i = t2i3D; t2j = t2j3D; t4s = t4s3D; break; default: errput( ErrHead "ERR_Switch\n" ); } for (iqp = 0; iqp < t4->nLev; iqp++) { pt4 = FMF_PtrLevel( t4, iqp ); pt21 = FMF_PtrLevel( t21, iqp ); pt22 = FMF_PtrLevel( t22, iqp ); for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { ii = t2i[ir]; ij = t2j[ir]; ik = t2i[ic]; il = t2j[ic]; s1 = t4s[dim*ii+il]; s2 = t4s[dim*ij+ik]; pt4[sym*ir+ic] = pt21[s1] * pt22[s2]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_mulT2S_AA" /*! @f$ R_{ij} = A_{ik} * A_{kj} */ int32 geme_mulT2S_AA( FMField *R, FMField *A ) { int32 il, sym; float64 *pr, *pa; sym = R->nRow; pr = R->val; pa = A->val; for ( il = 0; il < R->nLev; il++ ) { switch( sym ) { case 1: pr[0] = pa[0]*pa[0]; break; case 3: pr[0] = pa[0]*pa[0] + pa[2]*pa[2]; pr[1] = pa[2]*pa[2] + pa[1]*pa[1]; pr[2] = pa[2]*pa[0] + pa[1]*pa[2]; break; case 6: pr[0] = pa[0]*pa[0] + pa[5]*pa[5] + pa[4]*pa[4]; pr[1] = pa[5]*pa[5] + pa[1]*pa[1] + pa[3]*pa[3]; pr[2] = pa[4]*pa[4] + pa[3]*pa[3] + pa[2]*pa[2]; pr[3] = pa[4]*pa[5] + pa[1]*pa[3] + pa[2]*pa[3]; pr[4] = pa[0]*pa[4] + pa[5]*pa[3] + pa[4]*pa[2]; pr[5] = pa[0]*pa[5] + pa[5]*pa[1] + pa[4]*pa[3]; break; default: errput( ErrHead "ERR_Switch\n" ); } /* switch */ pr += sym; pa += sym; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_elementVolume" /*! @par Revision history: - 02.05.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_elementVolume( float64 *volume, float64 *jacobian, int32 nQP ) { int32 qp; *volume = 0.0; for (qp = 0; qp < nQP; qp++) { *volume += jacobian[qp]; } return( RET_OK ); } static int32 aux1[] = {0, 1, 2, 0, 0, 1}; static int32 aux2[] = {0, 1, 2, 1, 2, 2}; #undef __FUNC__ #define __FUNC__ "geme_buildOpOmega_VS3" /*! @par Revision history: - 18.10.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_buildOpOmega_VS3( float64 *pomega, float64 *pdir, int32 nItem, int32 dim, int32 sym ) { int32 ii, ir; for (ii = 0; ii < nItem; ii++) { for (ir = 0; ir < sym; ir++) { pomega[ir] = pdir[aux1[ir]] * pdir[aux2[ir]]; /* printf( "%d %d, %f %f %f\n", ii, ir, */ /* pomega[ir], pdir[aux1[ir]], pdir[aux2[ir]] ); */ } pomega += sym; pdir += dim; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "geme_projectToDir" /*! @par Revision history: - 18.10.2001, c - 06.03.2003, adopted from rcfem2 */ int32 geme_projectToDir( float64 *pdef, float64 *pomega, float64 *pstrain, int32 nItem, int32 size ) { int32 ii, ir; for (ii = 0; ii < nItem; ii++) { pdef[ii] = 0.0; for (ir = 0; ir < size; ir++) { pdef[ii] += pomega[ir] * pstrain[ir]; /* printf( "%d %d, %f %f %f\n", ii, ir, */ /* pdef[ii], pomega[ir], pstrain[ir] ); */ } pomega += size; pstrain += size; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "bf_act" /*! @a in is a state vector stored as matrix (dim, nEP) - in->nLev == 1. @par Revision history: - 12.12.2005, c - 14.12.2005 */ int32 bf_act( FMField *out, FMField *bf, FMField *in ) { int32 iqp, ir, ic, nEP, nQP, dim; float64 *pout, *pbf; nEP = bf->nCol; nQP = bf->nLev; dim = in->nRow; #ifdef DEBUG_FMF if ((out->nRow != dim) || (out->nCol != 1) || (out->nLev != bf->nLev) || (in->nCol != nEP)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, bf->nLev, bf->nRow, bf->nCol, in->nLev, in->nRow, in->nCol ); } #endif fmf_fillC( out, 0.0 ); for (iqp = 0; iqp < nQP; iqp++) { pbf = FMF_PtrLevel( bf, iqp ); pout = FMF_PtrLevel( out, iqp ); for (ic = 0; ic < dim; ic++ ) { for (ir = 0; ir < nEP; ir++) { pout[ic] += pbf[ir] * in->val[nEP*ic+ir]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "bf_ract" /*! Act from right. @par Revision history: - 12.12.2005, c */ int32 bf_ract( FMField *out, FMField *bf, FMField *in ) { int32 iqp, ir, ic, ii, nEP, nQP, dim; float64 *pout, *pbf, *pin; nEP = bf->nCol; nQP = bf->nLev; dim = in->nCol; #ifdef DEBUG_FMF if ((out->nRow != in->nRow) || (out->nCol != (dim * nEP)) || (out->nLev != bf->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, bf->nLev, bf->nRow, bf->nCol, in->nLev, in->nRow, in->nCol ); } #endif fmf_fillC( out, 0.0 ); for (iqp = 0; iqp < nQP; iqp++) { pbf = FMF_PtrLevel( bf, iqp ); pout = FMF_PtrLevel( out, iqp ); pin = FMF_PtrLevel( in, iqp ); for (ir = 0; ir < out->nRow; ir++) { for (ic = 0; ic < dim; ic++) { for (ii = 0; ii < nEP; ii++) { (*pout) = (*pin) * pbf[ii]; pout++; } pin++; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "bf_actt" /*! Act transposed. @par Revision history: - 12.12.2005, c - 20.12.2005 */ int32 bf_actt( FMField *out, FMField *bf, FMField *in ) { int32 iqp, ir, ic, ii, nEP, nQP, dim; float64 *pout, *pbf, *pin; nEP = bf->nCol; nQP = bf->nLev; dim = in->nRow; #ifdef DEBUG_FMF if ((out->nCol != in->nCol) || (out->nRow != (dim * nEP)) || (out->nLev != bf->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, bf->nLev, bf->nRow, bf->nCol, in->nLev, in->nRow, in->nCol ); } #endif fmf_fillC( out, 0.0 ); for (iqp = 0; iqp < nQP; iqp++) { pbf = FMF_PtrLevel( bf, iqp ); pout = FMF_PtrLevel( out, iqp ); pin = FMF_PtrLevel( in, iqp ); for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < out->nCol; ic++) { for (ii = 0; ii < nEP; ii++) { pout[out->nCol*ii+ic] = pbf[ii] * (*pin); } pin++; } pout += out->nCol * nEP; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "bf_actt_c1" /*! @a in is a vector (dim, 1). @par Revision history: - 06.09.2006, c */ int32 bf_actt_c1( FMField *out, FMField *bf, FMField *in ) { int32 iqp, ir, ic, nEP, nQP, dim; float64 *pout, *pbf, *pin; nEP = bf->nCol; nQP = bf->nLev; dim = in->nRow; #ifdef DEBUG_FMF if ((out->nRow != dim * nEP) || (out->nCol != 1) || (out->nLev != in->nLev) || (out->nLev != bf->nLev) || (in->nRow != dim) || (in->nCol != 1)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, bf->nLev, bf->nRow, bf->nCol, in->nLev, in->nRow, in->nCol ); } #endif for (iqp = 0; iqp < nQP; iqp++) { pbf = FMF_PtrLevel( bf, iqp ); pout = FMF_PtrLevel( out, iqp ); pin = FMF_PtrLevel( in, iqp ); for (ic = 0; ic < dim; ic++ ) { for (ir = 0; ir < nEP; ir++) { pout[nEP*ic+ir] = pbf[ir] * pin[ic]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "bf_buildFTF" /*! @par Revision history: - 21.11.2006, c */ int32 bf_buildFTF( FMField *ftf, FMField *ftf1 ) { int32 iqp, ir, ic, nEPR, nEPC, nQP, dim; float64 *pftf, *pftf1; float64 val; fmf_fillC( ftf, 0.0 ); nEPR = ftf1->nRow; nEPC = ftf1->nCol; nQP = ftf1->nLev; dim = ftf->nRow / nEPR; for (iqp = 0; iqp < nQP; iqp++) { pftf1 = FMF_PtrLevel( ftf1, iqp ); pftf = FMF_PtrLevel( ftf, iqp ); for (ir = 0; ir < nEPR; ir++) { for (ic = 0; ic < nEPC; ic++) { val = pftf1[nEPC*ir+ic]; pftf[dim*nEPC*ir+ic] = val; if (dim == 1) continue; pftf[dim*nEPC*(nEPR+ir)+ic+nEPC] = val; if (dim == 2) continue; pftf[dim*nEPC*(2*nEPR+ir)+ic+2*nEPC] = val; } } } return( RET_OK ); } /*! @par Revision history: - 04.08.2006, c - 24.04.2007 */ void debug_printConn( int32 *conn, int32 nEP ) { int32 ii; for (ii = 0; ii < nEP; ii++) { printf( FI32" ", conn[ii] ); } printf( "\n" ); } #undef __FUNC__ #define __FUNC__ "ele_extractNodalValuesNBN" /*! Extract values from element nodes, for example coordinates of nodes. Each node must have @ dim values! Input vector order is node-by-node. The extraction order is node-by-node. Use when local shape is (nEP, dpn). @par Revision history: - 26.10.2005, adapted from mafest1 */ int32 ele_extractNodalValuesNBN( FMField *out, FMField *in, int32 *conn ) { int32 inod, idof; for (inod = 0; inod < out->nRow; inod++) { for (idof = 0; idof < out->nCol; idof++ ) { out->val[out->nCol*inod+idof] = in->val[out->nCol*conn[inod]+idof]; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "ele_extractNodalValuesDBD" /*! Extract values from element nodes, for example coordinates of nodes. Each node must have @ dim values! Input vector order is node-by-node. The extraction order is dof-by-dof. Use when local shape is (dpn, nEP). @par Revision history: - 14.12.2005, c */ int32 ele_extractNodalValuesDBD( FMField *out, FMField *in, int32 *conn ) { int32 inod, idof; for (idof = 0; idof < out->nRow; idof++ ) { for (inod = 0; inod < out->nCol; inod++) { out->val[out->nCol*idof+inod] = in->val[out->nRow*conn[inod]+idof]; } } return( RET_OK ); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/geommech.h000066400000000000000000000036641247364230400235650ustar00rootroot00000000000000/*! @par Revision history: - 18.09.2006, c */ #ifndef _GEOMMECH_H_ #define _GEOMMECH_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #define sym2dim( sym ) ((int32)(sym/3+1)) extern int32 t2i1D[]; extern int32 t2j1D[]; extern int32 t4s1D[]; extern int32 t2i2D[]; extern int32 t2j2D[]; extern int32 t4s2D[]; extern int32 t2i3D[]; extern int32 t2j3D[]; extern int32 t4s3D[]; int32 geme_invert3x3( FMField *mtxI, FMField *mtx ); int32 geme_invert4x4( FMField *mtxI, FMField *mtx ); int32 geme_tensor2vectorS3( FMField *vec, FMField *mtx ); int32 geme_det3x3( float64 *det, FMField *mtx ); int32 geme_trace3x3( float64 *tr, FMField *mtx ); int32 geme_norm3( float64 *out, FMField *mtx ); int32 geme_eig3x3( float64 *out, FMField *mtx ); int32 geme_mulAVSB3( FMField *out, FMField *vs, FMField *in ); int32 geme_mulT2ST2S_T4S_ikjl( FMField *t4, FMField *t21, FMField *t22 ); int32 geme_mulT2ST2S_T4S_iljk( FMField *t4, FMField *t21, FMField *t22 ); int32 geme_mulT2S_AA( FMField *R, FMField *A ); int32 geme_elementVolume( float64 *volume, float64 *jacobian, int32 nQP ); int32 geme_buildOpOmega_VS3( float64 *pomega, float64 *pdir, int32 nItem, int32 dim, int32 sym ); int32 geme_projectToDir( float64 *pdef, float64 *pomega, float64 *pstrain, int32 nItem, int32 size ); int32 bf_act( FMField *out, FMField *bf, FMField *in ); int32 bf_ract( FMField *out, FMField *bf, FMField *in ); int32 bf_actt( FMField *out, FMField *bf, FMField *in ); int32 bf_actt_c1( FMField *out, FMField *bf, FMField *in ); int32 bf_buildFTF( FMField *ftf, FMField *ftf1 ); int32 geme_invar1( float64 *invar, FMField *mtx ); int32 geme_invar2( float64 *invar, FMField *mtx ); void debug_printConn( int32 *conn, int32 nEP ); int32 ele_extractNodalValuesNBN( FMField *out, FMField *in, int32 *conn ); int32 ele_extractNodalValuesDBD( FMField *out, FMField *in, int32 *conn ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/geomtrans.c000066400000000000000000000021121247364230400237560ustar00rootroot00000000000000#include "geomtrans.h" #undef __FUNC__ #define __FUNC__ "gtr_cross_product" /*! @par Revision history: - 22.03.2002, c */ int32 gtr_cross_product( float64 obj[3], float64 obj1[3], float64 obj2[3] ) { obj[0] = obj1[1]*obj2[2]-obj1[2]*obj2[1]; obj[1] = obj1[2]*obj2[0]-obj1[0]*obj2[2]; obj[2] = obj1[0]*obj2[1]-obj1[1]*obj2[0]; return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "gtr_normalize_v3" /*! @par Revision history: - 22.03.2002, c */ int32 gtr_normalize_v3( float64 obj[3], float64 obj1[3] ) { float64 norm; norm = sqrt( obj1[0] * obj1[0] + obj1[1] * obj1[1] + obj1[2] * obj1[2] ); if (norm > CONST_MachEps) { obj[0] = obj1[0] / norm; obj[1] = obj1[1] / norm; obj[2] = obj1[2] / norm; } else { errput( "zero norm!\n" ); obj[0] = obj[1] = obj[2] = 0.0; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "gtr_dot_v3" /*! @par Revision history: - 08.06.2006, c */ int32 gtr_dot_v3( float64 *p_val, float64 obj1[3], float64 obj2[3] ) { *p_val = obj1[0] * obj2[0] + obj1[1] * obj2[1] + obj1[2] * obj2[2]; return( RET_OK ); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/geomtrans.h000066400000000000000000000006211247364230400237660ustar00rootroot00000000000000/*! @par Revision history: - 08.06.2006, c */ #ifndef _GEOMTRANS_H_ #define _GEOMTRANS_H_ #include "common.h" BEGIN_C_DECLS #define CONST_MachEps 1e-16 int32 gtr_cross_product( float64 obj[3], float64 obj1[3], float64 obj2[3] ); int32 gtr_normalize_v3( float64 obj[3], float64 obj1[3] ); int32 gtr_dot_v3( float64 *p_val, float64 obj1[3], float64 obj2[3] ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/lagrange.c000066400000000000000000000210761247364230400235510ustar00rootroot00000000000000#include "geommech.h" #include "lagrange.h" /* Get barycentric (area in 2D, volume in 3D) coordinates of points. Parameters ---------- bc : FMField The barycentric coordinates, shape `(n_coor, dim + 1)`. Then reference element coordinates `xi = dot(bc, ref_coors)`. coors : FMField The coordinates of the points, shape `(n_coor, dim)`. mtx_i : FMField The inverse of simplex coordinates matrix, shape `(dim + 1, dim + 1)`. eps : float The tolerance for snapping out-of-simplex point back to the simplex. check_errors : bool If True, raise ValueError if a barycentric coordinate is outside the snap interval `[-eps, 1 + eps]`. */ int32 get_barycentric_coors(FMField *bc, FMField *coors, FMField *mtx_i, float64 eps, int32 check_errors) { int32 ii, ir, ic, error, ret = RET_OK; int32 n_coor = coors->nRow; int32 nc = coors->nCol; int32 n_v = mtx_i->nRow; int32 dim = n_v - 1; float64 val; for (ir = 0; ir < n_coor; ir++) { for (ic = 0; ic < n_v; ic++) { val = 0.0; for (ii = 0; ii < dim; ii++) { val += mtx_i->val[n_v*ic+ii] * coors->val[nc*ir+ii]; } val += mtx_i->val[n_v*ic+dim]; error = 0; if (val < 0.0) { if (val > (-eps)) { val = 0.0; } else { error = 1; } } if (val > 1.0) { if (val < (1.0 + eps)) { val = 1.0; } else { error = 1; } } if ((check_errors) && (error)) { errput("quadrature point %d outside of element! (%.e)\n", ir, val); errset("quadrature point outside of element (see above)!"); } bc->val[n_v*ir+ic] = val; ERR_CheckGo(ret); } } end_label: return(ret); } /* Get reference simplex coordinates `xi` of `dest_point` given spatial element coordinates `e_coors` and coordinates of reference simplex vertices `ref_coors`. Output also the corresponding barycentric coordinates `bc`. */ int32 get_xi_simplex(FMField *xi, FMField *bc, FMField *dest_point, FMField *ref_coors, FMField *e_coors) { int32 idim, ii; int32 n_v = e_coors->nRow; int32 dim = e_coors->nCol; FMField mtx[1], mtx_i[1], rhs[1]; float64 buf16[16], buf16_2[16], buf4[4]; fmf_pretend_nc(mtx, 1, 1, n_v, n_v, buf16); fmf_pretend_nc(mtx_i, 1, 1, n_v, n_v, buf16_2); fmf_pretend_nc(rhs, 1, 1, 1, n_v, buf4); for (idim = 0; idim < dim; idim++) { for (ii = 0; ii < n_v; ii++) { mtx->val[n_v*idim+ii] = e_coors->val[dim*ii+idim]; rhs->val[idim] = dest_point->val[idim]; } } for (ii = 0; ii < n_v; ii++) { mtx->val[n_v*dim+ii] = 1.0; rhs->val[dim] = 1.0; } if (dim == 3) { geme_invert4x4(mtx_i, mtx); } else { geme_invert3x3(mtx_i, mtx); } fmf_mulABT_nn(bc, rhs, mtx_i); fmf_mulAB_nn(xi, bc, ref_coors); return(RET_OK); } /* Get reference tensor product element coordinates using Newton method. Uses linear 1D base functions. */ int32 get_xi_tensor(FMField *xi, FMField *dest_point, FMField *e_coors, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, float64 vmin, float64 vmax, int32 i_max, float64 newton_eps) { int32 idim, ii, ok = 0; int32 dim = e_coors->nCol; int32 powd = 1 << dim; FMField bc[1], bf[1], bfg[1], xint[1], res[1], mtx[1], imtx[1]; float64 err; float64 buf6[6], buf8[8], buf24[24]; float64 buf3_1[3], buf3_2[3], buf9_1[9], buf9_2[9]; fmf_pretend_nc(bc, dim, 1, 1, 2, buf6); fmf_pretend_nc(bf, 1, 1, 1, powd, buf8); fmf_pretend_nc(bfg, 1, 1, dim, powd, buf24); fmf_pretend_nc(res, 1, 1, 1, dim, buf3_1); fmf_pretend_nc(xint, 1, 1, 1, dim, buf3_2); fmf_pretend_nc(mtx, 1, 1, dim, dim, buf9_1); fmf_pretend_nc(imtx, 1, 1, dim, dim, buf9_2); ii = 0; fmf_fillC(xi, 0.5 * (vmin + vmax)); while (ii < i_max) { // Base(xi). for (idim = 0; idim < dim; idim++) { FMF_SetCell(bc, idim); // slice [:,idim:idim+1] bc->val[1] = (xi->val[idim] - vmin) / (vmax - vmin); bc->val[0] = 1.0 - bc->val[1]; } eval_lagrange_tensor_product(bf, bc, mtx_i, base1d, nodes, n_col, 1, 0); // X(xi). fmf_mulAB_n1(xint, bf, e_coors); // Rezidual. fmf_subAB_nn(res, dest_point, xint); err = 0.0; for (idim = 0; idim < dim; idim++) { err += res->val[idim] * res->val[idim]; } err = sqrt(err); if (err < newton_eps) { break; } // grad Base(xi). eval_lagrange_tensor_product(bfg, bc, mtx_i, base1d, nodes, n_col, 1, 1); // - Matrix. fmf_mulAB_n1(mtx, bfg, e_coors); geme_invert3x3(imtx, mtx); fmf_mulAB_nn(xint, res, imtx); fmf_addAB_nn(xi, xi, xint); ii += 1; } if (ii == i_max) { ok = 2; // Newton did not converge. // Use centre if nothing better is available, but do not spoil // possible d_min (see below). fmf_fillC(xi, 0.5 * (vmin + vmax)); } return(ok); } /* Evaluate Lagrange base polynomials in given points on simplex domain. */ int32 eval_lagrange_simplex(FMField *out, FMField *bc, FMField *mtx_i, int32 *nodes, int32 n_col, int32 order, int32 diff) { int32 ret = RET_OK; int32 n_coor = bc->nRow; int32 n_v = bc->nCol; int32 dim = n_v - 1; int32 n_nod = out->nCol; int32 ii, ir, ic, i1, i2, inod, n_i1, n_ii; float64 dval, dd, vv, bci1, bcii; float64 *pout; if (n_coor != out->nLev) { errset("coordinates size mismatch!"); ERR_CheckGo(ret); } if (!diff) { for (ic = 0; ic < n_coor; ic++) { pout = FMF_PtrLevel(out, ic); for (inod = 0; inod < n_nod; inod++) { pout[inod] = 1.0; for (i1 = 0; i1 < n_v; i1++) { n_i1 = nodes[n_col*inod+i1]; bci1 = bc->val[n_v*ic+i1]; for (i2 = 0; i2 < n_i1; i2++) { pout[inod] *= (order * bci1 - i2) / (i2 + 1.0); } } } } } else { for (ic = 0; ic < n_coor; ic++) { pout = FMF_PtrLevel(out, ic); for (inod = 0; inod < n_nod; inod++) { pout[inod] = 0.0; for (ii = 0; ii < n_v; ii++) { vv = 1.0; bcii = bc->val[n_v*ic+ii]; for (i1 = 0; i1 < n_v; i1++) { if (i1 == ii) continue; n_i1 = nodes[n_col*inod+i1]; bci1 = bc->val[n_v*ic+i1]; for (i2 = 0; i2 < n_i1; i2++) { vv *= (order * bci1 - i2) / (i2 + 1.0); } } dval = 0.0; n_ii = nodes[n_col*inod+ii]; for (i1 = 0; i1 < n_ii; i1++) { dd = 1.0; for (i2 = 0; i2 < n_ii; i2++) { if (i1 == i2) continue; dd *= (order * bcii - i2) / (i2 + 1.0); } dval += dd * order / (i1 + 1.0); } for (ir = 0; ir < dim; ir++) { pout[n_nod*ir+inod] += vv * dval * mtx_i->val[n_v*ii+ir]; } } } } } end_label: return(ret); } /* Evaluate Lagrange base polynomials in given points on tensor product domain. */ int32 eval_lagrange_tensor_product(FMField *out, FMField *bc, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, int32 order, int32 diff) { int32 ret = RET_OK; int32 ii, idim, im, ic; int32 n_coor = out->nLev; int32 nr = out->nRow; int32 n_nod = out->nCol; int32 dim = bc->nCell; int32 out_size = n_coor * nr * n_nod; int32 *pnodes; fmf_fillC(out, 1.0); if (!diff) { for (ii = 0; ii < dim; ii++) { // slice [:,2*ii:2*ii+2] pnodes = nodes + 2 * ii; // slice [:,ii:ii+1] FMF_SetCell(bc, ii); eval_lagrange_simplex(base1d, bc, mtx_i, pnodes, n_col, order, diff); for (im = 0; im < out->cellSize; im++) { out->val[im] *= base1d->val[im]; } ERR_CheckGo(ret); } } else { for (ii = 0; ii < dim; ii++) { // slice [:,2*ii:2*ii+2] pnodes = nodes + 2 * ii; // slice [:,ii:ii+1] FMF_SetCell(bc, ii); for (idim = 0; idim < dim; idim++) { if (ii == idim) { eval_lagrange_simplex(base1d, bc, mtx_i, pnodes, n_col, order, diff); } else { eval_lagrange_simplex(base1d, bc, mtx_i, pnodes, n_col, order, 0); } // slice [:,idim:idim+1,:] for (im = 0; im < out->nLev; im++) { for (ic = 0; ic < n_nod; ic++) { out->val[nr*n_nod*im+n_nod*idim+ic] *= base1d->val[n_nod*im+ic]; } } } ERR_CheckGo(ret); } } end_label: return(ret); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/lagrange.h000066400000000000000000000024061247364230400235520ustar00rootroot00000000000000#ifndef _LAGRANGE_H_ #define _LAGRANGE_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" #include "fmfield.h" int32 get_barycentric_coors(FMField *bc, FMField *coors, FMField *mtx_i, float64 eps, int32 check_errors); int32 get_xi_simplex(FMField *xi, FMField *bc, FMField *dest_point, FMField *ref_coors, FMField *e_coors); int32 get_xi_tensor(FMField *xi, FMField *dest_point, FMField *e_coors, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, float64 vmin, float64 vmax, int32 i_max, float64 newton_eps); int32 eval_lagrange_simplex(FMField *out, FMField *bc, FMField *mtx_i, int32 *nodes, int32 n_col, int32 order, int32 diff); int32 eval_lagrange_tensor_product(FMField *out, FMField *bc, FMField *mtx_i, FMField *base1d, int32 *nodes, int32 n_col, int32 order, int32 diff); #endif /* !LAGRANGE_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto.c000066400000000000000000000046601247364230400234350ustar00rootroot00000000000000#include "lobatto.h" /* Evaluate 1D Lobatto functions of the given order in given points. */ int32 eval_lobatto1d(FMField *out, FMField *coors, int32 order) { int32 ret = RET_OK; int32 ii; fun eval_fun; int32 n_coor = coors->nRow; if ((order < 0) || (order > max_order)) { errput("order must be in [0, %d]! (was %d)", max_order, order); errset("wrong order value (see above!"); ERR_CheckGo(ret); } eval_fun = lobatto[order]; for (ii = 0; ii < n_coor; ii++) { out->val[ii] = eval_fun(coors->val[ii]); } end_label: return(ret); } /* Evaluate tensor product Lobatto functions of the given order in given points. */ int32 eval_lobatto_tensor_product(FMField *out, FMField *coors, int32 *nodes, float64 cmin, float64 cmax, int32 diff) { int32 ret = RET_OK; float64 dx = cmax - cmin; int32 ii, ifun, ic, ir, io; int32 n_coor = coors->nRow; int32 dim = coors->nCol; int32 n_fun = out->nCol; FMField xis[1]; fun eval_fun; fmf_alloc(xis, 1, 1, n_coor, dim); for (ii = 0; ii < (n_fun * dim); ii++) { if (nodes[ii] > max_order) { errput("order must be in [0, %d]! (was %d)", max_order, nodes[ii]); errset("wrong order value (see above!"); ERR_CheckGo(ret); } } // Transform coordinates via affine coordinates lambda to be in [-1, 1]. for (ii = 0; ii < (n_coor * dim); ii++) { xis->val[ii] = 2.0 * (coors->val[ii] - cmin) / dx - 1.0; } fmf_fillC(out, 1.0); if (!diff) { for (ii = 0; ii < dim; ii++) { for (ifun = 0; ifun < n_fun; ifun++) { eval_fun = lobatto[nodes[dim * ifun + ii]]; for (ic = 0; ic < n_coor; ic++) { out->val[n_fun * ic + ifun] *= eval_fun(xis->val[dim * ic + ii]); } } } } else { for (ii = 0; ii < dim; ii++) { for (ifun = 0; ifun < n_fun; ifun++) { for (ir = 0; ir < dim; ir++) { if (ir == ii) { eval_fun = d_lobatto[nodes[dim * ifun + ii]]; } else { eval_fun = lobatto[nodes[dim * ifun + ii]]; } for (ic = 0; ic < n_coor; ic++) { io = n_fun * (dim * ic + ir) + ifun; out->val[io] *= eval_fun(xis->val[dim * ic + ii]); } } } } // Multiply by 2 due to the transformation of coordinates. fmf_mulC(out, 2.0); } end_label: fmf_free(xis); return(ret); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto.h000066400000000000000000000014161247364230400234360ustar00rootroot00000000000000#ifndef _LOBATTO_H_ #define _LOBATTO_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" #include "fmfield.h" extern const int32 max_order; typedef float64 (*fun)(float64 x); extern fun lobatto[]; extern fun d_lobatto[]; extern fun kernel[]; extern fun d_kernel[]; extern fun legendre[]; extern fun d_legendre[]; int32 eval_lobatto1d(FMField *out, FMField *coors, int32 order); int32 eval_lobatto_tensor_product(FMField *out, FMField *coors, int32 *nodes, float64 cmin, float64 cmax, int32 diff); #endif /* !LOBATTO_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto1d.c000066400000000000000000000175301247364230400236620ustar00rootroot00000000000000/* Template file for 'lobatto1d.c'. */ #include "lobatto1d.h" #include // Start of generated code. // Lobatto functions. float64 lobatto_000(float64 x) { return(-x/2 + 1.0/2.0); } float64 lobatto_001(float64 x) { return(x/2 + 1.0/2.0); } float64 lobatto_002(float64 x) { return(sqrt(6)*pow(x, 2)/4 - sqrt(6)/4); } float64 lobatto_003(float64 x) { return(x*(sqrt(10)*pow(x, 2) - sqrt(10))/4); } float64 lobatto_004(float64 x) { return(pow(x, 2)*(5*sqrt(14)*pow(x, 2) - 6*sqrt(14))/16 + sqrt(14)/16); } float64 lobatto_005(float64 x) { return(x*(pow(x, 2)*(21*sqrt(2)*pow(x, 2) - 30*sqrt(2)) + 9*sqrt(2))/16); } float64 lobatto_006(float64 x) { return(pow(x, 2)*(pow(x, 2)*(21*sqrt(22)*pow(x, 2) - 35*sqrt(22)) + 15*sqrt(22))/32 - sqrt(22)/32); } float64 lobatto_007(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(33*sqrt(26)*pow(x, 2) - 63*sqrt(26)) + 35*sqrt(26)) - 5*sqrt(26))/32); } float64 lobatto_008(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(429*sqrt(30)*pow(x, 2) - 924*sqrt(30)) + 630*sqrt(30)) - 140*sqrt(30))/256 + 5*sqrt(30)/256); } float64 lobatto_009(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(715*sqrt(34)*pow(x, 2) - 1716*sqrt(34)) + 1386*sqrt(34)) - 420*sqrt(34)) + 35*sqrt(34))/256); } float64 lobatto_010(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(2431*sqrt(38)*pow(x, 2) - 6435*sqrt(38)) + 6006*sqrt(38)) - 2310*sqrt(38)) + 315*sqrt(38))/512 - 7*sqrt(38)/512); } // Derivatives of Lobatto functions. float64 d_lobatto_000(float64 x) { return(-1.0/2.0); } float64 d_lobatto_001(float64 x) { return(1.0/2.0); } float64 d_lobatto_002(float64 x) { return(sqrt(6)*x/2); } float64 d_lobatto_003(float64 x) { return(3*sqrt(10)*pow(x, 2)/4 - sqrt(10)/4); } float64 d_lobatto_004(float64 x) { return(x*(20*sqrt(14)*pow(x, 2) - 12*sqrt(14))/16); } float64 d_lobatto_005(float64 x) { return(pow(x, 2)*(105*sqrt(2)*pow(x, 2) - 90*sqrt(2))/16 + 9*sqrt(2)/16); } float64 d_lobatto_006(float64 x) { return(x*(pow(x, 2)*(126*sqrt(22)*pow(x, 2) - 140*sqrt(22)) + 30*sqrt(22))/32); } float64 d_lobatto_007(float64 x) { return(pow(x, 2)*(pow(x, 2)*(231*sqrt(26)*pow(x, 2) - 315*sqrt(26)) + 105*sqrt(26))/32 - 5*sqrt(26)/32); } float64 d_lobatto_008(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(3432*sqrt(30)*pow(x, 2) - 5544*sqrt(30)) + 2520*sqrt(30)) - 280*sqrt(30))/256); } float64 d_lobatto_009(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(6435*sqrt(34)*pow(x, 2) - 12012*sqrt(34)) + 6930*sqrt(34)) - 1260*sqrt(34))/256 + 35*sqrt(34)/256); } float64 d_lobatto_010(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(24310*sqrt(38)*pow(x, 2) - 51480*sqrt(38)) + 36036*sqrt(38)) - 9240*sqrt(38)) + 630*sqrt(38))/512); } // Kernel functions. float64 kernel_002(float64 x) { return(-sqrt(6)); } float64 kernel_003(float64 x) { return(-sqrt(10)*x); } float64 kernel_004(float64 x) { return(-5*sqrt(14)*pow(x, 2)/4 + sqrt(14)/4); } float64 kernel_005(float64 x) { return(x*(-21*sqrt(2)*pow(x, 2) + 9*sqrt(2))/4); } float64 kernel_006(float64 x) { return(pow(x, 2)*(-21*sqrt(22)*pow(x, 2) + 14*sqrt(22))/8 - sqrt(22)/8); } float64 kernel_007(float64 x) { return(x*(pow(x, 2)*(-33*sqrt(26)*pow(x, 2) + 30*sqrt(26)) - 5*sqrt(26))/8); } float64 kernel_008(float64 x) { return(pow(x, 2)*(pow(x, 2)*(-429*sqrt(30)*pow(x, 2) + 495*sqrt(30)) - 135*sqrt(30))/64 + 5*sqrt(30)/64); } float64 kernel_009(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(-715*sqrt(34)*pow(x, 2) + 1001*sqrt(34)) - 385*sqrt(34)) + 35*sqrt(34))/64); } float64 kernel_010(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(-2431*sqrt(38)*pow(x, 2) + 4004*sqrt(38)) - 2002*sqrt(38)) + 308*sqrt(38))/128 - 7*sqrt(38)/128); } // Derivatives of kernel functions. float64 d_kernel_002(float64 x) { return(0); } float64 d_kernel_003(float64 x) { return(-sqrt(10)); } float64 d_kernel_004(float64 x) { return(-5*sqrt(14)*x/2); } float64 d_kernel_005(float64 x) { return(-63*sqrt(2)*pow(x, 2)/4 + 9*sqrt(2)/4); } float64 d_kernel_006(float64 x) { return(x*(-84*sqrt(22)*pow(x, 2) + 28*sqrt(22))/8); } float64 d_kernel_007(float64 x) { return(pow(x, 2)*(-165*sqrt(26)*pow(x, 2) + 90*sqrt(26))/8 - 5*sqrt(26)/8); } float64 d_kernel_008(float64 x) { return(x*(pow(x, 2)*(-2574*sqrt(30)*pow(x, 2) + 1980*sqrt(30)) - 270*sqrt(30))/64); } float64 d_kernel_009(float64 x) { return(pow(x, 2)*(pow(x, 2)*(-5005*sqrt(34)*pow(x, 2) + 5005*sqrt(34)) - 1155*sqrt(34))/64 + 35*sqrt(34)/64); } float64 d_kernel_010(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(-19448*sqrt(38)*pow(x, 2) + 24024*sqrt(38)) - 8008*sqrt(38)) + 616*sqrt(38))/128); } // Legendre functions. float64 legendre_000(float64 x) { return(1); } float64 legendre_001(float64 x) { return(x); } float64 legendre_002(float64 x) { return(3*pow(x, 2)/2 - 1.0/2.0); } float64 legendre_003(float64 x) { return(x*(5*pow(x, 2) - 3)/2); } float64 legendre_004(float64 x) { return(pow(x, 2)*(35*pow(x, 2) - 30)/8 + 3.0/8.0); } float64 legendre_005(float64 x) { return(x*(pow(x, 2)*(63*pow(x, 2) - 70) + 15)/8); } float64 legendre_006(float64 x) { return(pow(x, 2)*(pow(x, 2)*(231*pow(x, 2) - 315) + 105)/16 - 5.0/16.0); } float64 legendre_007(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(429*pow(x, 2) - 693) + 315) - 35)/16); } float64 legendre_008(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(6435*pow(x, 2) - 12012) + 6930) - 1260)/128 + 35.0/128.0); } float64 legendre_009(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(12155*pow(x, 2) - 25740) + 18018) - 4620) + 315)/128); } float64 legendre_010(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(46189*pow(x, 2) - 109395) + 90090) - 30030) + 3465)/256 - 63.0/256.0); } // Derivatives of Legendre functions. float64 d_legendre_000(float64 x) { return(0); } float64 d_legendre_001(float64 x) { return(1); } float64 d_legendre_002(float64 x) { return(3*x); } float64 d_legendre_003(float64 x) { return(15*pow(x, 2)/2 - 3.0/2.0); } float64 d_legendre_004(float64 x) { return(x*(140*pow(x, 2) - 60)/8); } float64 d_legendre_005(float64 x) { return(pow(x, 2)*(315*pow(x, 2) - 210)/8 + 15.0/8.0); } float64 d_legendre_006(float64 x) { return(x*(pow(x, 2)*(1386*pow(x, 2) - 1260) + 210)/16); } float64 d_legendre_007(float64 x) { return(pow(x, 2)*(pow(x, 2)*(3003*pow(x, 2) - 3465) + 945)/16 - 35.0/16.0); } float64 d_legendre_008(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(51480*pow(x, 2) - 72072) + 27720) - 2520)/128); } float64 d_legendre_009(float64 x) { return(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(109395*pow(x, 2) - 180180) + 90090) - 13860)/128 + 315.0/128.0); } float64 d_legendre_010(float64 x) { return(x*(pow(x, 2)*(pow(x, 2)*(pow(x, 2)*(461890*pow(x, 2) - 875160) + 540540) - 120120) + 6930)/256); } // Lists of functions. const int32 max_order = 10; const fun lobatto[11] = {&lobatto_000, &lobatto_001, &lobatto_002, &lobatto_003, &lobatto_004, &lobatto_005, &lobatto_006, &lobatto_007, &lobatto_008, &lobatto_009, &lobatto_010}; const fun d_lobatto[11] = {&d_lobatto_000, &d_lobatto_001, &d_lobatto_002, &d_lobatto_003, &d_lobatto_004, &d_lobatto_005, &d_lobatto_006, &d_lobatto_007, &d_lobatto_008, &d_lobatto_009, &d_lobatto_010}; const fun kernel[9] = {&kernel_002, &kernel_003, &kernel_004, &kernel_005, &kernel_006, &kernel_007, &kernel_008, &kernel_009, &kernel_010}; const fun d_kernel[9] = {&d_kernel_002, &d_kernel_003, &d_kernel_004, &d_kernel_005, &d_kernel_006, &d_kernel_007, &d_kernel_008, &d_kernel_009, &d_kernel_010}; const fun legendre[11] = {&legendre_000, &legendre_001, &legendre_002, &legendre_003, &legendre_004, &legendre_005, &legendre_006, &legendre_007, &legendre_008, &legendre_009, &legendre_010}; const fun d_legendre[11] = {&d_legendre_000, &d_legendre_001, &d_legendre_002, &d_legendre_003, &d_legendre_004, &d_legendre_005, &d_legendre_006, &d_legendre_007, &d_legendre_008, &d_legendre_009, &d_legendre_010}; // End of generated code. sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto1d.h000066400000000000000000000050731247364230400236660ustar00rootroot00000000000000#ifndef _LOBATTO1D_H_ #define _LOBATTO1D_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" #include "fmfield.h" typedef float64 (*fun)(float64 x); // Start of generated code. // Lobatto functions. float64 lobatto_000(float64 x); float64 lobatto_001(float64 x); float64 lobatto_002(float64 x); float64 lobatto_003(float64 x); float64 lobatto_004(float64 x); float64 lobatto_005(float64 x); float64 lobatto_006(float64 x); float64 lobatto_007(float64 x); float64 lobatto_008(float64 x); float64 lobatto_009(float64 x); float64 lobatto_010(float64 x); // Derivatives of Lobatto functions. float64 d_lobatto_000(float64 x); float64 d_lobatto_001(float64 x); float64 d_lobatto_002(float64 x); float64 d_lobatto_003(float64 x); float64 d_lobatto_004(float64 x); float64 d_lobatto_005(float64 x); float64 d_lobatto_006(float64 x); float64 d_lobatto_007(float64 x); float64 d_lobatto_008(float64 x); float64 d_lobatto_009(float64 x); float64 d_lobatto_010(float64 x); // Kernel functions. float64 kernel_002(float64 x); float64 kernel_003(float64 x); float64 kernel_004(float64 x); float64 kernel_005(float64 x); float64 kernel_006(float64 x); float64 kernel_007(float64 x); float64 kernel_008(float64 x); float64 kernel_009(float64 x); float64 kernel_010(float64 x); // Derivatives of kernel functions. float64 d_kernel_002(float64 x); float64 d_kernel_003(float64 x); float64 d_kernel_004(float64 x); float64 d_kernel_005(float64 x); float64 d_kernel_006(float64 x); float64 d_kernel_007(float64 x); float64 d_kernel_008(float64 x); float64 d_kernel_009(float64 x); float64 d_kernel_010(float64 x); // Legendre functions. float64 legendre_000(float64 x); float64 legendre_001(float64 x); float64 legendre_002(float64 x); float64 legendre_003(float64 x); float64 legendre_004(float64 x); float64 legendre_005(float64 x); float64 legendre_006(float64 x); float64 legendre_007(float64 x); float64 legendre_008(float64 x); float64 legendre_009(float64 x); float64 legendre_010(float64 x); // Derivatives of Legendre functions. float64 d_legendre_000(float64 x); float64 d_legendre_001(float64 x); float64 d_legendre_002(float64 x); float64 d_legendre_003(float64 x); float64 d_legendre_004(float64 x); float64 d_legendre_005(float64 x); float64 d_legendre_006(float64 x); float64 d_legendre_007(float64 x); float64 d_legendre_008(float64 x); float64 d_legendre_009(float64 x); float64 d_legendre_010(float64 x); // End of generated code. #endif /* !LOBATTO1D_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto1d_template.c000066400000000000000000000002301247364230400255420ustar00rootroot00000000000000/* Template file for 'lobatto1d.c'. */ #include "lobatto1d.h" #include // Start of generated code. // REPLACE_TEXT // End of generated code. sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto1d_template.h000066400000000000000000000006211247364230400255530ustar00rootroot00000000000000#ifndef _LOBATTO1D_H_ #define _LOBATTO1D_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" #include "fmfield.h" typedef float64 (*fun)(float64 x); // Start of generated code. // REPLACE_TEXT // End of generated code. #endif /* !LOBATTO1D_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/lobatto_bases.pyx000066400000000000000000000047111247364230400252050ustar00rootroot00000000000000# -*- Mode: Python -*- """ Interface to Lobatto bases. """ cimport cython import numpy as np cimport numpy as np cimport _fmfield as _f from _fmfield cimport FMField from types cimport int32, float64, complex128 cdef extern from 'lobatto.h': int32 _eval_lobatto1d \ 'eval_lobatto1d'(FMField *out, FMField *coors, int32 order) int32 _eval_lobatto_tensor_product \ 'eval_lobatto_tensor_product'(FMField *out, FMField *coors, int32 *nodes, float64 cmin, float64 cmax, int32 diff) int32 max_order @cython.boundscheck(False) def eval_lobatto1d(np.ndarray[float64, mode='c', ndim=1] coors not None, int32 order): """ Evaluate 1D Lobatto functions of the given order in given points. """ cdef int32 n_coor = coors.shape[0] cdef np.ndarray[float64, ndim=1] out = np.zeros(n_coor, dtype=np.float64) cdef FMField _coors[1], _out[1] _f.array2fmfield1(_coors, coors) _f.array2fmfield1(_out, out) _eval_lobatto1d(_out, _coors, order) return out @cython.boundscheck(False) def eval_lobatto_tensor_product(np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[int32, mode='c', ndim=2] nodes not None, float64 cmin, float64 cmax, int32 order, int32 diff=False): """ Evaluate tensor product Lobatto functions of the given order in given points. Base functions are addressed using the `nodes` array with rows corresponding to individual functions and columns to 1D indices (= orders when >= 1) into lobatto[] and d_lobatto[] lists for each axis. """ cdef np.ndarray[float64, ndim=3] out cdef FMField _coors[1], _out[1] cdef int32 *_nodes = &nodes[0, 0] cdef int32 n_coor = coors.shape[0] cdef int32 dim = coors.shape[1] cdef int32 n_fun = nodes.shape[0] cdef int32 nr if (order < 1) or (order > max_order): raise ValueError('order must be in [1, %d]! (was %d)' % (max_order, order)) nr = 1 if not diff else dim out = np.zeros((n_coor, nr, n_fun), dtype=np.float64) _f.array2fmfield2(_coors, coors) _f.array2fmfield3(_out, out) _eval_lobatto_tensor_product(_out, _coors, _nodes, cmin, cmax, diff) return out sfepy-release_2015.1/sfepy/discrete/fem/extmods/mappings.pxd000066400000000000000000000050561247364230400241600ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level reference mapping functionality. """ cimport cython cimport numpy as np import numpy as np from libc.stdio cimport FILE, stdout from _fmfield cimport (FMField, array2fmfield4, array2fmfield3, array2fmfield2, array2fmfield1) from types cimport int32, float64, complex128 cdef extern from 'common.h': cdef void errclear() cdef extern from 'refmaps.h': ctypedef enum MappingMode: MM_Volume MM_Surface MM_SurfaceExtra ctypedef struct Mapping: MappingMode mode int32 nEl int32 nQP int32 dim int32 nEP FMField *bf FMField *bfGM # Volume or SurfaceExtra only. FMField *det # detJMR or detJSR. FMField *normal # Surface only. FMField *volume float64 totalVolume cdef int32 map_print(Mapping *obj, FILE *file, int32 mode) cdef int32 map_describe(Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, FMField *bfGR, FMField *ebfGR, FMField *weight) cdef int32 map_integrate(Mapping *obj, FMField *out, FMField *in_, int32 mode) cdef int32 map_getElementDiameters(Mapping *obj, FMField *out, int32 *edges, int32 edges_nRow, int32 edges_nCol, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow, int32 mode) cdef int32 map_evaluateBFBGM(Mapping *obj, FMField *bfBGR, FMField *ebfBGR, float64 *coorIn, int32 nNod, int32 dim, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nEP) cdef class CMapping: cdef Mapping geo[1] cdef FMField _bf[1], _bfg[1], _det[1], _normal[1], _volume[1] cdef public np.ndarray bf cdef public np.ndarray bfg cdef public np.ndarray det cdef public np.ndarray normal cdef public np.ndarray volume cdef public str mode cdef public tuple shape cdef public int n_el, n_qp, dim, n_ep # Auxiliary attributes to be assigned from Python. cdef public object integral cdef public object qp cdef public object ps cdef public object mtx_t sfepy-release_2015.1/sfepy/discrete/fem/extmods/mappings.pyx000066400000000000000000000175761247364230400242170ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level reference mapping functionality. """ import numpy as np cdef class CMapping: def __cinit__(self, n_el, n_qp, dim, n_ep, mode='volume', flag=0): if flag: self.bf = np.empty((n_el, n_qp, 1, n_ep), dtype=np.float64) else: self.bf = np.empty((1, n_qp, 1, n_ep), dtype=np.float64) array2fmfield4(self._bf, self.bf) self.geo.bf = self._bf self.det = np.empty((n_el, n_qp, 1, 1), dtype=np.float64) array2fmfield4(self._det, self.det) self.geo.det = self._det self.volume = np.empty((n_el, 1, 1, 1), dtype=np.float64) array2fmfield4(self._volume, self.volume) self.geo.volume = self._volume if mode == 'volume': self.bfg = np.empty((n_el, n_qp, dim, n_ep), dtype=np.float64) array2fmfield4(self._bfg, self.bfg) self.geo.bfGM = self._bfg self.normal = None self.geo.normal = NULL else: self.bfg = None self.geo.bfGM = NULL self.normal = np.empty((n_el, n_qp, dim, 1), dtype=np.float64) array2fmfield4(self._normal, self.normal) self.geo.normal = self._normal self.mode = mode self.shape = (n_el, n_qp, dim, n_ep) self.geo.mode = {'volume' : MM_Volume, 'surface' : MM_Surface, 'surface_extra' : MM_SurfaceExtra}[mode] self.geo.nEl = self.n_el = n_el self.geo.nQP = self.n_qp = n_qp self.geo.dim = self.dim = dim self.geo.nEP = self.n_ep = n_ep def alloc_extra_data(self, n_epv): if self.mode != 'surface_extra': raise ValueError('CMapping not in surface_extra mode!') self.bfg = np.empty((self.n_el, self.n_qp, self.dim, n_epv), dtype=np.float64) array2fmfield4(self._bfg, self.bfg) self.geo.bfGM = self._bfg def __str__(self): return 'CMapping: mode: %s, n_el %d, n_qp %d, dim: %d, n_ep: %d' \ % ((self.mode,) + self.shape) def cprint(self, int32 mode=0): map_print(self.geo, stdout, mode) def describe(self, np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[int32, mode='c', ndim=2] conn not None, np.ndarray[float64, mode='c', ndim=3] bfgr not None, np.ndarray[float64, mode='c', ndim=4] ebfgr, np.ndarray[float64, mode='c', ndim=1] weights not None): """ Describe the element geometry - compute the reference element mapping. """ cdef int32 ret = 0 cdef FMField _bfgr[1], _ebfgr[1], _weights[1] cdef float64 *_coors = &coors[0, 0] cdef int32 n_nod = coors.shape[0] cdef int32 dim = coors.shape[1] cdef int32 *_conn = &conn[0, 0] cdef int32 n_el = conn.shape[0] cdef int32 n_ep = conn.shape[1] if ebfgr is None: ebfgr = np.array([0], ndmin=4, dtype=np.float64) array2fmfield3(_bfgr, bfgr) array2fmfield4(_ebfgr, ebfgr) array2fmfield1(_weights, weights) ret = map_describe(self.geo, _coors, n_nod, dim, _conn, n_el, n_ep, _bfgr, _ebfgr, _weights) if ret: errclear() raise ValueError('ccore error (see above)') def integrate(self, np.ndarray[float64, mode='c', ndim=4] out not None, np.ndarray[float64, mode='c', ndim=4] arr not None, int32 mode=0): """ Integrate `arr` over the domain of the mapping into `out`. """ cdef int32 ret = 0 cdef FMField _out[1], _arr[1] if self.mode == 'volume': n_row_ok = out.shape[2] == arr.shape[2] else: n_row_ok = (((mode < 3) and (out.shape[2] == arr.shape[2])) or ((mode >= 3) and (out.shape[2] == 1) and (arr.shape[2] == self.dim))) if not ((out.shape[0] == arr.shape[0]) and (out.shape[1] == 1) and n_row_ok and (out.shape[3] == arr.shape[3]) and (out.shape[0] == self.n_el) and (arr.shape[1] == self.n_qp)): raise ValueError('incompatible shapes! (%s, out: (%d, %d, %d, %d)' ', arr: (%d, %d, %d, %d))' % (self.shape, out.shape[0], out.shape[1], out.shape[2], out.shape[3], arr.shape[0], arr.shape[1], arr.shape[2], arr.shape[3])) array2fmfield4(_out, out) array2fmfield4(_arr, arr) ret = map_integrate(self.geo, _out, _arr, mode) if ret: errclear() raise ValueError('ccore error (see above)') return ret def get_element_diameters(self, np.ndarray[float64, mode='c', ndim=4] out not None, np.ndarray[int32, mode='c', ndim=2] edges not None, np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[int32, mode='c', ndim=2] conn not None, np.ndarray[int32, mode='c', ndim=1] el_list not None, int32 mode): """ Compute diameters of selected elements. """ cdef int32 ret = 0 cdef FMField _out[1] cdef int32 *_edges = &edges[0, 0] cdef int32 edges_nr = edges.shape[0] cdef int32 edges_nc = edges.shape[1] cdef float64 *_coors = &coors[0, 0] cdef int32 n_nod = coors.shape[0] cdef int32 dim = coors.shape[1] cdef int32 *_conn = &conn[0, 0] cdef int32 n_el = conn.shape[0] cdef int32 n_ep = conn.shape[1] cdef int32 *_el_list = &el_list[0] cdef int32 n_el2 = el_list.shape[0] array2fmfield4(_out, out) ret = map_getElementDiameters(self.geo, _out, _edges, edges_nr, edges_nc, _coors, n_nod, dim, _conn, n_el, n_ep, _el_list, n_el2, mode) if ret: errclear() raise ValueError('ccore error (see above)') return ret def evaluate_bfbgm(self, np.ndarray[float64, mode='c', ndim=4] bfbgr not None, np.ndarray[float64, mode='c', ndim=4] ebfbgr not None, np.ndarray[float64, mode='c', ndim=2] coors not None, np.ndarray[int32, mode='c', ndim=2] fis not None, np.ndarray[int32, mode='c', ndim=2] conn not None): """ Evaluate volume base function gradients in surface quadrature points. """ cdef int32 ret = 0 cdef FMField _bfbgr[1], _ebfbgr[1] cdef float64 *_coors = &coors[0, 0] cdef int32 n_nod = coors.shape[0] cdef int32 dim = coors.shape[1] cdef int32 *_fis = &fis[0, 0] cdef int32 n_fa = fis.shape[0] cdef int32 n_fp = fis.shape[1] cdef int32 *_conn = &conn[0, 0] cdef int32 n_el = conn.shape[0] cdef int32 n_ep = conn.shape[1] if self.bfg is None: raise ValueError('CMapping.alloc_extra_data() not called!') array2fmfield4(_bfbgr, bfbgr) array2fmfield4(_ebfbgr, ebfbgr) ret = map_evaluateBFBGM(self.geo, _bfbgr, _ebfbgr, _coors, n_nod, dim, _fis, n_fa, n_fp, _conn, n_el, n_ep) if ret: errclear() raise ValueError('ccore error (see above)') sfepy-release_2015.1/sfepy/discrete/fem/extmods/mesh.c000066400000000000000000000657751247364230400227430ustar00rootroot00000000000000#include "common.h" #include "mesh.h" static void debprintf(const char *what, ...) { #ifdef DEBUG_MESH va_list ap; va_start(ap, what); vprintf(what, ap); va_end(ap); #endif } int32 mesh_init(Mesh *mesh) { int32 ii; MeshTopology *topology = 0; LocalEntities *entities = 0; topology = mesh->topology; topology->max_dim = 0; topology->cell_types = 0; topology->edge_oris = 0; topology->face_oris = 0; memset(topology->num, 0, 16 * sizeof(int32)); memset(topology->_conn, 0, 16 * sizeof(MeshConnectivity)); for (ii = 0; ii < 16; ii++) { topology->conn[ii] = &topology->_conn[ii]; topology->conn[ii]->num = 0; topology->conn[ii]->indices = 0; topology->conn[ii]->offsets = 0; } mesh->geometry->num = 0; mesh->geometry->dim = 0; mesh->geometry->coors = 0; entities = mesh->entities; entities->num = MAX_EL_TYPES; memset(entities->_edges, 0, MAX_EL_TYPES * sizeof(MeshConnectivity)); for (ii = 0; ii < MAX_EL_TYPES; ii++) { entities->edges[ii] = &entities->_edges[ii]; entities->edges[ii]->num = 0; entities->edges[ii]->indices = 0; entities->edges[ii]->offsets = 0; } memset(entities->_faces, 0, MAX_EL_TYPES * sizeof(MeshConnectivity)); for (ii = 0; ii < MAX_EL_TYPES; ii++) { entities->faces[ii] = &entities->_faces[ii]; entities->faces[ii]->num = 0; entities->faces[ii]->indices = 0; entities->faces[ii]->offsets = 0; } return(RET_OK); } int32 mesh_print(Mesh *mesh, FILE *file, int32 header_only) { int32 ii, id; uint32 *num; int32 D = mesh->topology->max_dim; MeshGeometry *geometry = mesh->geometry; MeshTopology *topology = mesh->topology; MeshConnectivity *conn = 0; fprintf(file, "Mesh %p (vertices: %d dimension: %d)\n", mesh, geometry->num, geometry->dim); fprintf(file, "topology: max_dim: %d\n", topology->max_dim); num = topology->num; fprintf(file, "n_cell: %d, n_face: %d, n_edge: %d, n_vertex: %d\n", num[3], num[2], num[1], num[0]); if (header_only == 0) { // Full print. fprintf(file, "vertex coordinates:\n"); for (ii = 0; ii < geometry->num; ii++) { for (id = 0; id < geometry->dim; id++) { fprintf(file, " %.8e", geometry->coors[geometry->dim * ii + id]); } fprintf(file, "\n"); } fprintf(file, "topology connectivities:\n"); for (ii = 0; ii <= D; ii++) { for (id = 0; id <= D; id++) { fprintf(file, "incidence %d -> %d:\n", ii, id); conn = topology->conn[IJ(D, ii, id)]; conn_print(conn, file); } } } return(RET_OK); } inline int32 mei_init(MeshEntityIterator *iter, Mesh *mesh, uint32 dim) { iter->entity->mesh = mesh; iter->entity->dim = dim; iter->entity->ii = 0; iter->it = 0; iter->ptr = 0; iter->it_end = mesh->topology->num[dim]; return(RET_OK); } inline int32 mei_init_conn(MeshEntityIterator *iter, MeshEntity *entity, uint32 dim) { Mesh *mesh = entity->mesh; int32 D = mesh->topology->max_dim; MeshConnectivity *conn = mesh->topology->conn[IJ(D, entity->dim, dim)]; iter->entity->mesh = mesh; iter->entity->dim = dim; iter->it = 0; if ((conn->num > 0) && (conn->indices > 0)) { iter->ptr = conn->indices + conn->offsets[entity->ii]; iter->it_end = conn->offsets[entity->ii+1] - conn->offsets[entity->ii]; iter->entity->ii = iter->ptr[iter->it]; } else { iter->ptr = 0; iter->it_end = 0; iter->entity->ii = 0; } return(RET_OK); } inline int32 mei_init_sub(MeshEntityIterator *iter, Mesh *mesh, Indices *entities, uint32 dim) { iter->entity->mesh = mesh; iter->entity->dim = dim; iter->it = 0; iter->ptr = entities->indices; iter->it_end = entities->num; iter->entity->ii = iter->ptr[iter->it]; return(RET_OK); } int32 mei_print(MeshEntityIterator *iter, FILE *file) { fprintf(file, "it: %d, entity: dim: %d, ii: %d\n", iter->it, iter->entity->dim, iter->entity->ii); return(RET_OK); } inline int32 mei_go(MeshEntityIterator *iter) { return(iter->it < iter->it_end); } inline int32 mei_next(MeshEntityIterator *iter) { iter->it += 1; iter->entity->ii = (iter->ptr ? iter->ptr[iter->it] : iter->it); return(RET_OK); } int32 ind_print(Indices *ind, FILE *file) { int32 ii; if (!ind) return(RET_OK); fprintf(file, "indices: num: %d\n", ind->num); for (ii = 0; ii < ind->num; ii++) { fprintf(file, "%d: %d\n", ii, ind->indices[ii]); } return(RET_OK); } #undef __FUNC__ #define __FUNC__ "conn_alloc" int32 conn_alloc(MeshConnectivity *conn, uint32 num, uint32 n_incident) { int32 ret = RET_OK; if ((conn->num > 0) && (conn->n_incident > 0)) { conn_free(conn); } if (num > 0) { conn->num = num; conn->offsets = alloc_mem(uint32, num + 1); ERR_CheckGo(ret); } if (n_incident > 0) { conn->n_incident = n_incident; conn->indices = alloc_mem(uint32, n_incident); ERR_CheckGo(ret); } else if (num == 0) { // Empty connectivity. conn->n_incident = n_incident; conn->indices = 0; } end_label: if (ERR_Chk) { conn_free(conn); } return(ret); } #undef __FUNC__ #define __FUNC__ "conn_resize" int32 conn_resize(MeshConnectivity *conn, uint32 num, uint32 n_incident) { int32 ret = RET_OK; conn->num = num; conn->offsets = realloc_mem(conn->offsets, uint32, num + 1); ERR_CheckGo(ret); conn->n_incident = n_incident; conn->indices = realloc_mem(conn->indices, uint32, n_incident); ERR_CheckGo(ret); end_label: if (ERR_Chk) { errput("conn_resize() failed!"); } return(ret); } #undef __FUNC__ #define __FUNC__ "conn_free" int32 conn_free(MeshConnectivity *conn) { free_mem(conn->indices); free_mem(conn->offsets); conn->num = 0; conn->n_incident = 0; return(RET_OK); } int32 conn_print(MeshConnectivity *conn, FILE *file) { int32 ii, ic; if (!conn) return(RET_OK); fprintf(file, "conn: num: %d, n_incident: %d\n", conn->num, conn->n_incident); for (ii = 0; ii < conn->num; ii++) { fprintf(file, "%d:", ii); for (ic = conn->offsets[ii]; ic < conn->offsets[ii+1]; ic++) { fprintf(file, " %d", conn->indices[ic]); } fprintf(file, "\n"); } return(RET_OK); } // Set offsets and indices of conn from other. inline int32 conn_set_from(MeshConnectivity *conn, MeshConnectivity *other) { memcpy(conn->offsets, other->offsets, (conn->num + 1) * sizeof(uint32)); memcpy(conn->indices, other->indices, conn->n_incident * sizeof(uint32)); return(RET_OK); } inline int32 conn_set_to_free(MeshConnectivity *conn, uint32 ii, uint32 incident) { uint32 ok; uint32 *off, *ptr; off = conn->offsets + ii; ptr = conn->indices + off[0]; ok = 0; while (ptr < (conn->indices + off[1])) { if (ptr[0] == UINT32_None) { // Not found & free slot. ptr[0] = incident; ok = 1; break; } ptr++; } if (!ok) { errput("no free connectivity position (internal error)!\n"); return(RET_Fail); } else { return(RET_OK); } } int32 mesh_set_coors(Mesh *mesh, float64 *coors, int32 num, int32 dim, int32 tdim) { MeshGeometry *geometry = mesh->geometry; geometry->coors = coors; geometry->num = num; geometry->dim = dim; mesh->topology->max_dim = tdim; mesh->topology->num[0] = num; return(RET_OK); } int32 mesh_setup_connectivity(Mesh *mesh, int32 d1, int32 d2) { int32 ret = RET_OK; int32 d3 = 0; MeshTopology *topology = mesh->topology; int32 D = topology->max_dim; debprintf("request connectivity %d -> %d\n", d1, d2); if (topology->num[d1] == 0) { mesh_build(mesh, d1); ERR_CheckGo(ret); } if (topology->num[d2] == 0) { mesh_build(mesh, d2); ERR_CheckGo(ret); } if (topology->conn[IJ(D, d1, d2)]->num) { return(ret); } if (d1 < d2) { mesh_setup_connectivity(mesh, d2, d1); mesh_transpose(mesh, d1, d2); } else { if ((d1 == 0) && (d2 == 0)) { d3 = D; } else { d3 = 0; } if ((d1 > 0) && (d2 == 0)) { errput("connectivity %d -> %d should already exist!\n", d1, d2); ERR_CheckGo(ret); } mesh_setup_connectivity(mesh, d1, d3); mesh_setup_connectivity(mesh, d3, d2); mesh_intersect(mesh, d1, d2, d3); } ERR_CheckGo(ret); end_label: return(ret); } int32 mesh_free_connectivity(Mesh *mesh, int32 d1, int32 d2) { int32 D = mesh->topology->max_dim; MeshConnectivity *conn = 0; debprintf("free connectivity %d -> %d\n", d1, d2); conn = mesh->topology->conn[IJ(D, d1, d2)]; conn_free(conn); return(RET_OK); } int32 mesh_build(Mesh *mesh, int32 dim) { int32 ret = RET_OK; uint32 n_incident, n_v_max, n_loc; uint32 ii, ic, id, found; int32 D = mesh->topology->max_dim; uint32 facet[4]; // Max. space for single facet. uint32 *oris = 0; uint32 loc_oris[12]; uint32 *nDd = 0; uint32 *ptr1 = 0, *ptr2 = 0; uint32 *cell_types = mesh->topology->cell_types; Indices cell_vertices[1]; MeshEntityIterator it0[1], it1[1], it2[1]; MeshConnectivity *cD0 = 0; // D -> 0 - known MeshConnectivity *cDd = 0; // D -> d - to compute MeshConnectivity *cd0 = 0; // d -> 0 - to compute MeshConnectivity **locs = 0; MeshConnectivity *loc = 0; MeshConnectivity sloc[1]; // Local connectivity with sorted global vertices. MeshConnectivity gloc[1]; // Local connectivity with global vertices. debprintf("build %d\n", dim); if (!mesh->topology->conn[IJ(D, D, D)]->num) { mesh_setup_connectivity(mesh, D, D); } cD0 = mesh->topology->conn[IJ(D, D, 0)]; cDd = mesh->topology->conn[IJ(D, D, dim)]; cd0 = mesh->topology->conn[IJ(D, dim, 0)]; locs = (dim == 1) ? mesh->entities->edges : mesh->entities->faces; // Max. number of vertices in facets. n_v_max = (dim == 1) ? 2 : 4; // Count entities of D -> d. conn_alloc(cDd, mesh->topology->num[D], 0); ERR_CheckGo(ret); nDd = cDd->offsets + 1; for (mei_init(it0, mesh, D); mei_go(it0); mei_next(it0)) { loc = locs[cell_types[it0->it]]; nDd[it0->it] = loc->num; } // cDd->offsets now contains counts - make a cumsum to get offsets. for (ii = 1; ii < cDd->num + 1; ii++) { cDd->offsets[ii] += cDd->offsets[ii-1]; } n_incident = cDd->offsets[cDd->num]; debprintf("build n_incident (%d -> %d): %d\n", D, dim, n_incident); oris = alloc_mem(uint32, n_incident); if (dim == 2) { free_mem(mesh->topology->face_oris); mesh->topology->face_oris = oris; } else { free_mem(mesh->topology->edge_oris); mesh->topology->edge_oris = oris; } // Allocate D -> d indices. conn_alloc(cDd, 0, n_incident); ERR_CheckGo(ret); for (ii = 0; ii < cDd->n_incident; ii++) { cDd->indices[ii] = UINT32_None; // "not set" value. } // Allocate maximal buffers for d -> 0 arrays. conn_alloc(cd0, n_incident, n_incident * n_v_max); debprintf("build max. n_incident_vertex: %d\n", n_incident * n_v_max); // Allocate maximal buffers for local connectivity with sorted global // vertices. Counts have to be set to zero to avoid spurious calls to // conn_free()! sloc->num = sloc->n_incident = 0; conn_alloc(sloc, 12, n_v_max * 12); gloc->num = gloc->n_incident = 0; conn_alloc(gloc, 12, n_v_max * 12); id = 0; for (mei_init(it0, mesh, D); mei_go(it0); mei_next(it0)) { // Get vertex sets for local entities of current cell. loc = locs[cell_types[it0->it]]; me_get_incident2(it0->entity, cell_vertices, cD0); get_local_connectivity(gloc, cell_vertices, loc); conn_set_from(sloc, gloc); sort_local_connectivity(sloc, loc_oris, loc->num); // Iterate over entities in the vertex sets. for (ii = 0; ii < loc->num; ii++) { // ii points to a vertex set in sloc/gloc. n_loc = sloc->offsets[ii+1] - sloc->offsets[ii]; // Try to find entity in cells visited previously. for (mei_init_conn(it1, it0->entity, D); mei_go(it1); mei_next(it1)) { if (it1->entity->ii >= it0->entity->ii) continue; // Iterate over facets of visited cells. for (mei_init_conn(it2, it1->entity, dim); mei_go(it2); mei_next(it2)) { ptr1 = cd0->indices + cd0->offsets[it2->entity->ii]; uint32_sort234_copy(facet, ptr1, n_loc); ptr2 = sloc->indices + sloc->offsets[ii]; found = 1; for (ic = 0; ic < n_loc; ic++) { if (facet[ic] != ptr2[ic]) { found = 0; break; } } if (found) { // Assign existing entity to D -> d. conn_set_to_free(cDd, it0->entity->ii, it2->entity->ii); goto found_label; } } } // Entity not found - create new. // Add it as 'id' to D -> d. conn_set_to_free(cDd, it0->entity->ii, id); // Add vertices in gloc to d -> 0. cd0->offsets[id+1] = cd0->offsets[id] + n_loc; ptr1 = cd0->indices + cd0->offsets[id]; ptr2 = gloc->indices + gloc->offsets[ii]; for (ic = 0; ic < n_loc; ic++) { ptr1[ic] = ptr2[ic]; } // Increment entity counter. id++; found_label: // Store entity orientation key to position of the last used item in cDd. ptr1 = cDd->offsets + it0->entity->ii; ic = ptr1[1] - 1; while (ic >= ptr1[0]) { if (cDd->indices[ic] != UINT32_None) { // Not found & free slot. break; } ic--; } oris[ic] = loc_oris[ii]; } } debprintf("build n_unique: %d, n_incident (%d -> 0): %d\n", id, dim, cd0->offsets[id]); // Update entity count in topology. mesh->topology->num[dim] = id; // Strip d -> 0. conn_resize(cd0, id, cd0->offsets[id]); end_label: conn_free(sloc); conn_free(gloc); return(ret); } #undef __FUNC__ #define __FUNC__ "mesh_transpose" int32 mesh_transpose(Mesh *mesh, int32 d1, int32 d2) { int32 ret = RET_OK; uint32 n_incident; uint32 ii; uint32 *nd2 = 0; int32 D = mesh->topology->max_dim; MeshEntityIterator it2[1], it1[1]; MeshConnectivity *c12 = 0; // d1 -> d2 - to compute debprintf("transpose %d -> %d\n", d1, d2); if (d1 >= d2) { errput("d1 must be smaller than d2 in mesh_transpose()!\n"); ERR_CheckGo(ret); } c12 = mesh->topology->conn[IJ(D, d1, d2)]; // Count entities of d2 -> d1. conn_alloc(c12, mesh->topology->num[d1], 0); ERR_CheckGo(ret); nd2 = c12->offsets + 1; for (mei_init(it2, mesh, d2); mei_go(it2); mei_next(it2)) { for (mei_init_conn(it1, it2->entity, d1); mei_go(it1); mei_next(it1)) { nd2[it1->entity->ii]++; } } // c12->offsets now contains counts - make a cumsum to get offsets. for (ii = 1; ii < c12->num + 1; ii++) { c12->offsets[ii] += c12->offsets[ii-1]; } n_incident = c12->offsets[c12->num]; debprintf("transpose n_incident (%d -> %d): %d\n", d1, d2, n_incident); // Fill in the indices. conn_alloc(c12, 0, n_incident); ERR_CheckGo(ret); for (ii = 0; ii < c12->n_incident; ii++) { c12->indices[ii] = UINT32_None; // "not set" value. } for (mei_init(it2, mesh, d2); mei_go(it2); mei_next(it2)) { for (mei_init_conn(it1, it2->entity, d1); mei_go(it1); mei_next(it1)) { conn_set_to_free(c12, it1->entity->ii, it2->entity->ii); ERR_CheckGo(ret); } } end_label: return(ret); } #undef __FUNC__ #define __FUNC__ "mesh_intersect" int32 mesh_intersect(Mesh *mesh, int32 d1, int32 d2, int32 d3) { int32 ret = RET_OK; int32 D = mesh->topology->max_dim; uint32 n_incident, ii; uint32 *nd2 = 0; char *mask = 0; MeshEntityIterator it1[1], it2[1], it3[1]; Indices ei1[1], ei2[1]; MeshConnectivity *c12 = 0; // d1 -> d2 - to compute MeshConnectivity *c10 = 0; // d1 -> 0 - known MeshConnectivity *c20 = 0; // d2 -> 0 - known debprintf("intersect %d -> %d (%d)\n", d1, d2, d3); if (d1 < d2) { errput("d1 must be greater or equal to d2 in mesh_intersect()!\n"); ERR_CheckGo(ret); } c12 = mesh->topology->conn[IJ(D, d1, d2)]; if (d1 > d2) { c10 = mesh->topology->conn[IJ(D, d1, 0)]; c20 = mesh->topology->conn[IJ(D, d2, 0)]; } mask = alloc_mem(char, mesh->topology->num[d2]); // Count entities of d2 -> d1. conn_alloc(c12, mesh->topology->num[d1], 0); ERR_CheckGo(ret); nd2 = c12->offsets + 1; for (mei_init(it1, mesh, d1); mei_go(it1); mei_next(it1)) { // Clear mask for it1 incident entities of dimension d2. for (mei_init_conn(it3, it1->entity, d3); mei_go(it3); mei_next(it3)) { for (mei_init_conn(it2, it3->entity, d2); mei_go(it2); mei_next(it2)) { mask[it2->entity->ii] = 0; } } for (mei_init_conn(it3, it1->entity, d3); mei_go(it3); mei_next(it3)) { for (mei_init_conn(it2, it3->entity, d2); mei_go(it2); mei_next(it2)) { if (mask[it2->entity->ii]) continue; mask[it2->entity->ii] = 1; if (d1 == d2) { if (it1->entity->ii != it2->entity->ii) { nd2[it1->entity->ii]++; } } else { // Get incident vertices. me_get_incident2(it1->entity, ei1, c10); me_get_incident2(it2->entity, ei2, c20); if (contains(ei1, ei2)) { nd2[it1->entity->ii]++; } } } } } // c12->offsets now contains counts - make a cumsum to get offsets. for (ii = 1; ii < c12->num + 1; ii++) { c12->offsets[ii] += c12->offsets[ii-1]; } n_incident = c12->offsets[c12->num]; debprintf("intersect n_incident (%d -> %d): %d\n", d1, d2, n_incident); // Fill in the indices. conn_alloc(c12, 0, n_incident); ERR_CheckGo(ret); for (ii = 0; ii < c12->n_incident; ii++) { c12->indices[ii] = UINT32_None; // "not set" value. } for (mei_init(it1, mesh, d1); mei_go(it1); mei_next(it1)) { // Clear mask for it1 incident entities of dimension d2. for (mei_init_conn(it3, it1->entity, d3); mei_go(it3); mei_next(it3)) { for (mei_init_conn(it2, it3->entity, d2); mei_go(it2); mei_next(it2)) { mask[it2->entity->ii] = 0; } } for (mei_init_conn(it3, it1->entity, d3); mei_go(it3); mei_next(it3)) { for (mei_init_conn(it2, it3->entity, d2); mei_go(it2); mei_next(it2)) { if (mask[it2->entity->ii]) continue; mask[it2->entity->ii] = 1; if (d1 == d2) { if (it1->entity->ii != it2->entity->ii) { conn_set_to_free(c12, it1->entity->ii, it2->entity->ii); ERR_CheckGo(ret); } } else { // Get incident vertices. me_get_incident2(it1->entity, ei1, c10); me_get_incident2(it2->entity, ei2, c20); if (contains(ei1, ei2)) { conn_set_to_free(c12, it1->entity->ii, it2->entity->ii); ERR_CheckGo(ret); } } } } } end_label: free_mem(mask); return(ret); } uint32 mesh_count_incident(Mesh *mesh, int32 dim, Indices *entities, int32 dent) { uint32 ii, num = 0; uint32 *ptr; int32 D = mesh->topology->max_dim; MeshConnectivity *conn = mesh->topology->conn[IJ(D, dent, dim)]; if (!conn->num) { errput("connectivity %d -> %d is not avaliable!\n", dent, dim); ERR_CheckGo(num); } for (ii = 0; ii < entities->num; ii++) { ptr = conn->offsets + entities->indices[ii]; num += ptr[1] - ptr[0]; } end_label: return(num); } // `incident` must be preallocated - use mesh_count_incident(). int32 mesh_get_incident(Mesh *mesh, MeshConnectivity *incident, int32 dim, Indices *entities, int32 dent) { int32 ret = RET_OK; uint32 ii; int32 D = mesh->topology->max_dim; MeshEntityIterator it0[1], it1[1]; MeshConnectivity *conn = mesh->topology->conn[IJ(D, dent, dim)]; if (!conn->num) { errput("connectivity %d -> %d is not avaliable!\n", dent, dim); ERR_CheckGo(ret); } ii = 0; incident->offsets[0] = 0; for (mei_init_sub(it0, mesh, entities, dent); mei_go(it0); mei_next(it0)) { for (mei_init_conn(it1, it0->entity, dim); mei_go(it1); mei_next(it1)) { incident->indices[ii++] = it1->entity->ii; } incident->offsets[it0->it + 1] = incident->offsets[it0->it] + it1->it_end; } end_label: return(ret); } // `local_ids` must be preallocated to same size as `entities`. int32 mesh_get_local_ids(Mesh *mesh, Indices *local_ids, Indices *entities, int32 dent, MeshConnectivity *incident, int32 dim) { int32 ret = RET_OK; uint32 ii, iind, ic, found; int32 D = mesh->topology->max_dim; MeshEntity entity[1]; MeshEntityIterator it1[1]; MeshConnectivity *conn = mesh->topology->conn[IJ(D, dim, dent)]; if (!conn->num) { errput("connectivity %d -> %d is not avaliable!\n", dim, dent); ERR_CheckGo(ret); } entity->mesh = mesh; entity->dim = dim; ii = 0; for (iind = 0; iind < incident->num; iind++) { for (ic = incident->offsets[iind]; ic < incident->offsets[iind+1]; ic++) { entity->ii = incident->indices[ic]; // printf("%d: ? %d in %d\n", iind, entities->indices[iind], entity->ii); found = 0; for (mei_init_conn(it1, entity, dent); mei_go(it1); mei_next(it1)) { if (entities->indices[iind] == it1->entity->ii) { local_ids->indices[ii++] = it1->it; // printf("%d -> %d\n", ii, it1->it); found = 1; break; // Degenerate cases - 1. occurrence is returned. } } if (!found) { errput("entity (%d, %d) not found in entity (%d, %d)!\n", entities->indices[iind], dent, entity->ii, dim); ERR_CheckGo(ret); } } } end_label: return(ret); } #undef __FUNC__ #define __FUNC__ "mesh_select_complete" // Allocates mask->mask. int32 mesh_select_complete(Mesh *mesh, Mask *mask, int32 dim, Indices *entities, int32 dent) { int32 ret = RET_OK; int32 D = mesh->topology->max_dim; uint32 ii, inum; char *ent_mask = 0; MeshEntityIterator it0[1], it1[1]; MeshConnectivity *conn = mesh->topology->conn[IJ(D, dim, dent)]; if (!conn->num) { errput("connectivity %d -> %d is not avaliable!\n", dim, dent); ERR_CheckGo(ret); } mask->mask = alloc_mem(char, conn->num); mask->num = conn->num; mask->n_true = 0; ent_mask = alloc_mem(char, mesh->topology->num[dent]); for (ii = 0; ii < entities->num; ii++) { ent_mask[entities->indices[ii]] = 1; } for (mei_init(it0, mesh, dim); mei_go(it0); mei_next(it0)) { inum = 0; for (mei_init_conn(it1, it0->entity, dent); mei_go(it1); mei_next(it1)) { if (ent_mask[it1->entity->ii]) inum++; } // Check if all entities with dimension dent incident to entity it0 are set // in ent_mask. if (inum == it1->it_end) { mask->mask[it0->it] = 1; mask->n_true++; } } end_label: free_mem(ent_mask); return(ret); } // `ccoors` must be preallocated. int32 mesh_get_centroids(Mesh *mesh, float64 *ccoors, int32 dim) { int32 D = mesh->topology->max_dim; uint32 id; float64 *ptr = ccoors; float64 *coors = mesh->geometry->coors; MeshEntityIterator it0[1], it1[1]; for (mei_init(it0, mesh, dim); mei_go(it0); mei_next(it0)) { for (id = 0; id < D; id++) { ptr[id] = 0.0; } for (mei_init_conn(it1, it0->entity, 0); mei_go(it1); mei_next(it1)) { for (id = 0; id < D; id++) { ptr[id] += coors[D * it1->entity->ii + id]; } } for (id = 0; id < D; id++) { ptr[id] /= (float64) it1->it_end; } ptr += D; } return(RET_OK); } inline int32 me_get_incident(MeshEntity *entity, Indices *out, int32 dim) { int32 ret = RET_OK; Mesh *mesh = entity->mesh; int32 D = mesh->topology->max_dim; MeshConnectivity *conn = mesh->topology->conn[IJ(D, entity->dim, dim)]; if (!conn->num) { errput("required connectivity is not avaliable!\n"); ERR_CheckGo(ret); } out->indices = conn->indices + conn->offsets[entity->ii]; out->num = conn->offsets[entity->ii + 1] - conn->offsets[entity->ii]; end_label: return(ret); } inline int32 me_get_incident2(MeshEntity *entity, Indices *out, MeshConnectivity *conn) { out->indices = conn->indices + conn->offsets[entity->ii]; out->num = conn->offsets[entity->ii + 1] - conn->offsets[entity->ii]; return(RET_OK); } inline int32 contains(Indices *i1, Indices *i2) { // Check if all indices in i2 are contained in i1. // Brute force search is used. uint32 ii1, ii2, v2, ok; for (ii2 = 0; ii2 < i2->num; ii2++) { v2 = i2->indices[ii2]; ok = 0; for (ii1 = 0; ii1 < i1->num; ii1++) { if (i1->indices[ii1] == v2) { ok = 1; break; } } if (!ok) return(0); } return(1); } inline int32 get_local_connectivity(MeshConnectivity *loc, Indices *cell_vertices, MeshConnectivity *refloc) { uint32 ii, ic; for (ii = 0; ii < (refloc->num + 1); ii++) { loc->offsets[ii] = refloc->offsets[ii]; } for (ii = 0; ii < refloc->num; ii++) { for (ic = refloc->offsets[ii]; ic < refloc->offsets[ii+1]; ic++) { loc->indices[ic] = cell_vertices->indices[refloc->indices[ic]]; } } return(RET_OK); } inline int32 sort_local_connectivity(MeshConnectivity *loc, uint32 *oris, uint32 num) { int32 key = -1; uint32 ii, n_item; if (num == 0) { num = loc->num; } for (ii = 0; ii < num; ii++) { n_item = loc->offsets[ii+1] - loc->offsets[ii]; switch (n_item) { case 2: key = uint32_sort2(loc->indices + loc->offsets[ii]); break; case 3: key = uint32_sort3(loc->indices + loc->offsets[ii]); break; case 4: key = uint32_sort4(loc->indices + loc->offsets[ii]); break; } oris[ii] = key; } return(RET_OK); } #define SwapValues(a, b, work) do {\ (work) = (a); (a) = (b); (b) = (work);\ } while (0) #define SORT4(p, work) do {\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ if ((p)[1] > (p)[2]) SwapValues((p)[1], (p)[2], (work));\ if ((p)[2] > (p)[3]) SwapValues((p)[2], (p)[3], (work));\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ if ((p)[1] > (p)[2]) SwapValues((p)[1], (p)[2], (work));\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ } while (0) #define SORT3(p, work) do {\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ if ((p)[1] > (p)[2]) SwapValues((p)[1], (p)[2], (work));\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ } while (0) #define SORT2(p, work) do {\ if ((p)[0] > (p)[1]) SwapValues((p)[0], (p)[1], (work));\ } while (0) inline void uint32_sort234_copy(uint32 *out, uint32 *p, uint32 num) { int32 ii; uint32 work; for (ii = 0; ii < num; ii++) { out[ii] = p[ii]; } switch (num) { case 2: SORT2(out, work); break; case 3: SORT3(out, work); break; case 4: SORT4(out, work); break; } } inline int32 uint32_sort4(uint32 *p) { int32 key = 0; uint32 work; if (p[0] < p[1]) key += 1; if (p[0] < p[2]) key += 2; if (p[1] < p[2]) key += 4; if (p[0] < p[3]) key += 8; if (p[1] < p[3]) key += 16; if (p[2] < p[3]) key += 32; SORT4(p, work); return(key); } inline int32 uint32_sort3(uint32 *p) { int32 key = 0; uint32 work; if (p[0] < p[1]) key += 1; if (p[0] < p[2]) key += 2; if (p[1] < p[2]) key += 4; SORT3(p, work); return(key); } inline int32 uint32_sort2(uint32 *p) { int32 key = 0; uint32 work; if (p[0] < p[1]) key += 1; SORT2(p, work); return(key); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/mesh.h000066400000000000000000000157161247364230400227360ustar00rootroot00000000000000#ifndef _MESH_H_ #define _MESH_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" // Inspired by A. Logg: Efficient Representation of Computational Meshes. // Entity, dimension, codimension. Max. dimension is D. #define Vertex 0 // 0, D #define Edge 1 // 1, D - 1 #define Face 2 // 2, D - 2 #define Cell 3 // D, 0 #define Facet 4 // D - 1, 1 // Special uint32 values meaning "not set". #define UINT32_None -1 // Pointer to indices + number of items. typedef struct Indices { uint32 *indices; uint32 num; } Indices; // Pointer to mask + number of items. typedef struct Mask { char *mask; uint32 num; uint32 n_true; } Mask; typedef struct MeshGeometry { uint32 num; uint32 dim; float64 *coors; // Shape: (num, dim) by rows. } MeshGeometry; typedef struct MeshConnectivity { uint32 num; // MeshTopology->num[i] - number of entities. uint32 n_incident; // Total number of incident entities. uint32 *indices; // Length: n_incident. uint32 *offsets; // Length: MeshTopology->num[i] + 1. } MeshConnectivity; // Connectivity defines incidence. // conn[IJ[d1, d2]] are entities of dimension d2 incident to entities of // dimension d1. // d1 > d2: // (d2, i2) is incident to (d1, i1) if (d2, i2) is contained in (d1, i1) // d1 < d2: // (d2, i2) is incident to (d1, i1) if (d1, i1) is incident to (d2, i2) // d1 = d2, d1, d2 > 0: // (d2, i2) is incident to (d1, i1) if both are incident to a common vertex // d1 = d2 = 0: // (d2, i2) is incident to (d1, i1) if both are incident to a common cell #define IJ(D, d1, d2) ((D + 1)) * (d1) + (d2) typedef struct MeshTopology { uint32 max_dim; uint32 num[4]; // Number of entities of given dimension. uint32 *cell_types; // Cell types = indices to LocalEntities. uint32 *face_oris; // Face orientations. uint32 *edge_oris; // Edge orientations. MeshConnectivity _conn[16]; MeshConnectivity *conn[16]; } MeshTopology; #define MAX_EL_TYPES 5 #define Bar 0 #define Triangle 1 #define Quadrilateral 2 #define Tetrahedron 3 #define Hexahedron 4 // Facets for various reference element types. typedef struct LocalEntities { uint32 num; // Lengths of edges and faces = MAX_EL_TYPES. MeshConnectivity _edges[MAX_EL_TYPES]; MeshConnectivity *edges[MAX_EL_TYPES]; MeshConnectivity _faces[MAX_EL_TYPES]; MeshConnectivity *faces[MAX_EL_TYPES]; } LocalEntities; typedef struct Mesh { MeshGeometry geometry[1]; MeshTopology topology[1]; LocalEntities entities[1]; } Mesh; typedef struct MeshEntity { uint32 dim; // Topological dimension. uint32 ii; // Local index within entities of the given topological // dimension. Mesh *mesh; } MeshEntity; typedef struct MeshEntityIterator { uint32 it; // Current iteration position. uint32 it_end; // End iteration position. uint32 *ptr; // If given, entity->ii = ptr[it]. MeshEntity entity[1]; } MeshEntityIterator; typedef struct Region { Indices *vertices; Indices *edges; Indices *faces; Indices *cells; } Region; int32 mesh_create(Mesh **p_mesh); int32 mesh_destroy(Mesh **p_mesh); int32 mesh_init(Mesh *mesh); int32 mesh_print(Mesh *mesh, FILE *file, int32 header_only); int32 mei_init(MeshEntityIterator *iter, Mesh *mesh, uint32 dim); int32 mei_init_conn(MeshEntityIterator *iter, MeshEntity *entity, uint32 dim); int32 mei_init_sub(MeshEntityIterator *iter, Mesh *mesh, Indices *entities, uint32 dim); int32 mei_print(MeshEntityIterator *iter, FILE *file); int32 mei_go(MeshEntityIterator *iter); int32 mei_next(MeshEntityIterator *iter); int32 ind_print(Indices *ind, FILE *file); int32 conn_alloc(MeshConnectivity *conn, uint32 num, uint32 n_incident); int32 conn_resize(MeshConnectivity *conn, uint32 num, uint32 n_incident); int32 conn_free(MeshConnectivity *conn); int32 conn_print(MeshConnectivity *conn, FILE *file); int32 conn_set_from(MeshConnectivity *conn, MeshConnectivity *other); int32 conn_set_to_free(MeshConnectivity *conn, uint32 ii, uint32 incident); int32 mesh_set_coors(Mesh *mesh, float64 *coors, int32 num, int32 dim, int32 tdim); int32 mesh_setup_connectivity(Mesh *mesh, int32 d1, int32 d2); int32 mesh_free_connectivity(Mesh *mesh, int32 d1, int32 d2); int32 mesh_build(Mesh *mesh, int32 dim); int32 mesh_transpose(Mesh *mesh, int32 d1, int32 d2); int32 mesh_intersect(Mesh *mesh, int32 d1, int32 d2, int32 d3); // Count non-unique entities of dimension `dim` incident to `entities` of // dimension `dent`. uint32 mesh_count_incident(Mesh *mesh, int32 dim, Indices *entities, int32 dent); // Get non-unique entities `incident` of dimension `dim` incident to `entities` // of dimension `dent`. As each of entities can be in several entities of // dimension `dent`, `incident` is stored in MeshConnectivity structure. // `incident` must be preallocated - use mesh_count_incident(). // Returns a subset of a connectivity - entities may be repeated! int32 mesh_get_incident(Mesh *mesh, MeshConnectivity *incident, int32 dim, Indices *entities, int32 dent); // Get local ids of non-unique entities `incident` of dimension `dim` incident // to `entities` of dimension `dent`, see `mesh_get_incident()`, with respect // to `entities`. `local_ids` must be preallocated to same size as `incident`. int32 mesh_get_local_ids(Mesh *mesh, Indices *local_ids, Indices *entities, int32 dent, MeshConnectivity *incident, int32 dim); // Select entities of dimension `dim` that are completely given by entities of // dimension `dent`. // Example: mesh_select_complete(mesh, mask, 2, vertices, 0) will select all // complete faces, whose vertices are listed in `vertices`. int32 mesh_select_complete(Mesh *mesh, Mask *mask, int32 dim, Indices *entities, int32 dent); // Return the coordinates of centroids of mesh entities with dimension `dim`. // `ccoors` must be preallocated. int32 mesh_get_centroids(Mesh *mesh, float64 *ccoors, int32 dim); int32 me_get_incident(MeshEntity *entity, Indices *out, int32 dim); int32 me_get_incident2(MeshEntity *entity, Indices *out, MeshConnectivity *conn); int32 contains(Indices *i1, Indices *i2); int32 get_local_connectivity(MeshConnectivity *loc, Indices *cell_vertices, MeshConnectivity *refloc); int32 sort_local_connectivity(MeshConnectivity *loc, uint32 *oris, uint32 num); void uint32_sort234_copy(uint32 *out, uint32 *p, uint32 num); int32 uint32_sort4(uint32 *p); int32 uint32_sort3(uint32 *p); int32 uint32_sort2(uint32 *p); // Mesh entity is given by (dimension, index) or (dim, ii). // Index ii is in [0, num[dim] - 1]. int32 mesh_get_entity(int32 *n_items, int32 dim, int32 ii); // ? int32 mesh_iterate_entities(Mesh *mesh, int32 *entity, int32 dim, Region *reg); #endif /* !MESH_H */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/meshutils.c000066400000000000000000000241101247364230400237760ustar00rootroot00000000000000#include "meshutils.h" #include "geomtrans.h" #include "sort.h" int32 *ic; int32 n_c; #define SwapValues( a, b, work ) do {\ (work) = (a); (a) = (b); (b) = (work);\ } while (0) /*! For 3D, 2D and 1D. @par Revision history: - 08.06.2006, c - 02.08.2006 */ int32 orient_elements( int32 *flag, int32 flag_n_row, int32 *conn, int32 conn_n_row, int32 conn_n_col, float64 *coors, int32 coors_n_row, int32 coors_n_col, int32 *v_roots, int32 v_roots_n_row, int32 *v_vecs, int32 v_vecs_n_row, int32 v_vecs_n_col, int32 *swap_from, int32 swap_from_n_row, int32 swap_from_n_col, int32 *swap_to, int32 swap_to_n_row, int32 swap_to_n_col ) { #define IR( iel, ir ) (conn[conn_n_col*(iel)+v_roots[ir]]) #define IV( iel, ir, iv ) (conn[conn_n_col*(iel)+v_vecs[v_vecs_n_col*ir+iv]]) #define CONN( iel, ip ) (conn[conn_n_col*(iel)+ip]) #define SWF( ir, is ) (swap_from[swap_from_n_col*ir+is]) #define SWT( ir, is ) (swap_to[swap_to_n_col*ir+is]) int32 ir, iel, ii, ip0, ip1, ip2, ip3, tmp, nc; float64 v0[3], v1[3], v2[3], v3[3], cross[3], dot[1]; nc = coors_n_col; if (nc == 3) { // 3D. for (iel = 0; iel < conn_n_row; iel++) { flag[iel] = 0; for (ir = 0; ir < v_roots_n_row; ir++) { ip0 = IR( iel, ir ); ip1 = IV( iel, ir, 0 ); ip2 = IV( iel, ir, 1 ); ip3 = IV( iel, ir, 2 ); for (ii = 0; ii < 3; ii++) { v0[ii] = coors[nc*ip0+ii]; v1[ii] = coors[nc*ip1+ii] - v0[ii]; v2[ii] = coors[nc*ip2+ii] - v0[ii]; v3[ii] = coors[nc*ip3+ii] - v0[ii]; } gtr_cross_product( cross, v1, v2 ); gtr_dot_v3( dot, v3, cross ); /* output( "%d %d -> %d %d %d %d %e\n", iel, ir, ip0, ip1, ip2, ip3, */ /* dot[0] ); */ if (dot[0] < CONST_MachEps) { flag[iel]++; for (ii = 0; ii < swap_from_n_col; ii++) { SwapValues( CONN( iel, SWF( ir, ii ) ), CONN( iel, SWT( ir, ii ) ), tmp ); /* output( "%d %d\n", SWF( ir, ii ), SWT( ir, ii ) ); */ } } } /* sys_pause(); */ } } else if (nc == 2) { // 2D. for (iel = 0; iel < conn_n_row; iel++) { flag[iel] = 0; for (ir = 0; ir < v_roots_n_row; ir++) { ip0 = IR( iel, ir ); ip1 = IV( iel, ir, 0 ); ip2 = IV( iel, ir, 1 ); for (ii = 0; ii < 2; ii++) { v0[ii] = coors[nc*ip0+ii]; v1[ii] = coors[nc*ip1+ii] - v0[ii]; v2[ii] = coors[nc*ip2+ii] - v0[ii]; } v1[2] = v2[2] = 0.0; gtr_cross_product( cross, v1, v2 ); if (cross[2] < CONST_MachEps) { flag[iel]++; for (ii = 0; ii < swap_from_n_col; ii++) { SwapValues( CONN( iel, SWF( ir, ii ) ), CONN( iel, SWT( ir, ii ) ), tmp ); } } } } } else if (nc == 1) { // 1D for (iel = 0; iel < conn_n_row; iel++) { flag[iel] = 0; for (ir = 0; ir < v_roots_n_row; ir++) { ip0 = IR(iel, ir); ip1 = IV(iel, ir, 0); v0[0] = coors[ip0]; v1[0] = coors[ip1] - v0[0]; if (v1[0] < CONST_MachEps){ flag[iel]++; SwapValues(CONN(iel, SWF(ir, 0)), CONN(iel, SWT(ir, 0)), tmp); } } } } return( RET_OK ); #undef IR #undef IV #undef CONN #undef SWF #undef SWT } int32 compare_i32( const void *a, const void *b ) { int32 i1, i2; i1 = *((int32 *) a); i2 = *((int32 *) b); return( i1 - i2 ); } #undef __FUNC__ #define __FUNC__ "mesh_nod_in_el_count" /*! @par Revision history: - 21.11.2003, c - 23.11.2003 */ int32 mesh_nod_in_el_count( int32 *p_niec_max, int32 *niec, int32 n_nod, int32 n_gr, int32 *n_el, int32 *n_ep, int32 **conn ) { int32 ig, iel, iep, in, niec_max; int32 *pconn; memset( niec, 0, (n_nod + 1) * sizeof( int32 ) ); for (ig = 0; ig < n_gr; ig++) { for (iel = 0; iel < n_el[ig]; iel++) { pconn = conn[ig] + n_ep[ig] * iel; for (iep = 0; iep < n_ep[ig]; iep++) { niec[1+pconn[iep]]++; /* output( "%d %d %d\n", iep, niec[1+pconn[iep]], pconn[iep] ); */ } } } niec[0] = 0; niec_max = 0; for (in = 0; in <= n_nod; in++) { /* output( "%d %d\n", in, niec[in] ); */ niec_max = Max( niec_max, niec[in] ); } *p_niec_max = niec_max; return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "mesh_graph" /*! @par Revision history: - 23.05.2003, c - 26.05.2003 - 27.05.2003 - 28.05.2003 - 21.11.2003 former mesh_mesh_graph() - 23.11.2003 - 01.03.2004 - 03.03.2005 - 07.02.2006 */ int32 mesh_graph( int32 *p_nnz, int32 **p_prow, int32 **p_icol, int32 n_row, int32 n_col, int32 n_gr, int32 *n_el, int32 *n_epr, int32 **conn_r, int32 *n_epc, int32 **conn_c ) { int32 in, ii, ip, ig, iel, iep, ir, ic, nn, np, pr, niec_max_r, n_ep_max_c, n_unique, iir, iic, found; int32 *niec, *pconn_r, *pconn_c, *eonlist, *nir, *nods, *icol; /* output( "%d %d %d %d %d %d\n", n_row, n_col, n_gr, n_el[0], n_epr[0], n_epc[0] ); */ /* Get niec (= nodes in elements count) for rows. */ niec = alloc_mem( int32, n_row + 1 ); mesh_nod_in_el_count( &niec_max_r, niec, n_row, n_gr, n_el, n_epr, conn_r ); /* output( "%d\n", niec_max_r ); */ /* Cummulative sum. */ for (in = 0; in < n_row; in++) { niec[in+1] += niec[in]; } /* output( "00\n" ); */ /* eon = elements of nodes */ nn = 0; n_ep_max_c = 0; for (ig = 0; ig < n_gr; ig++) { nn += n_epr[ig] * n_el[ig]; n_ep_max_c = Max( n_ep_max_c, n_epc[ig] ); } eonlist = alloc_mem( int32, 2 * nn ); /* nir is just a buffer here. */ nir = alloc_mem( int32, n_row + 1 ); memset( nir, 0, (n_row + 1) * sizeof( int32 ) ); /* output( "1\n" ); */ /* Get list of elements each row node is in. */ for (ig = 0; ig < n_gr; ig++) { for (iel = 0; iel < n_el[ig]; iel++) { pconn_r = conn_r[ig] + n_epr[ig] * iel; for (iep = 0; iep < n_epr[ig]; iep++) { np = pconn_r[iep]; if (np >= 0) { eonlist[2*(niec[np]+nir[np])+0] = iel; eonlist[2*(niec[np]+nir[np])+1] = ig; /* output( " %d %d %d %d\n", np, eonlist[2*(niec[np]+nir[np])+0], */ /* eonlist[2*(niec[np]+nir[np])+1], nir[np] ); */ nir[np]++; } } } } /* output( "2\n" ); */ /* nir = number in row. */ memset( nir, 0, (n_row + 1) * sizeof( int32 ) ); /* List of column nodes for each row node. */ /* output( "%d, %d\n", n_ep_max_c, niec_max_r * n_ep_max_c ); */ nods = alloc_mem( int32, niec_max_r * n_ep_max_c ); nn = 0; for (in = 0; in < n_row; in++) { ii = 0; /* output( "%d\n", in ); */ for (ip = niec[in]; ip < niec[in+1]; ip++) { iel = eonlist[2*(ip)+0]; ig = eonlist[2*(ip)+1]; /* output( " %d %d %d\n", ip, ig, iel ); */ for (iep = 0; iep < n_epc[ig]; iep++) { np = conn_c[ig][n_epc[ig]*iel+iep]; if (np >= 0) { nods[ii] = np; /* output( " %d %d\n", ii, nods[ii] ); */ ii++; } } } /* output( "%d\n", ii ); */ if (ii > 0) { /* qsort( nods, ii, sizeof( int32 ), &compareI32 ); */ int32_quicksort( nods, ii, 0 ); n_unique = 1; for (ir = 0; ir < (ii - 1); ir++) { if (nods[ir] != nods[ir+1]) { n_unique++; } } } else { n_unique = 0; } nn += n_unique; /* output( " -> %d\n", n_unique ); */ nir[in] = n_unique; } /* output( "3\n" ); */ *p_nnz = nn; *p_prow = niec; icol = *p_icol = alloc_mem( int32, nn ); /* Fill in *p_prow. */ niec[0] = 0; for (in = 0; in < n_row; in++) { niec[in+1] = niec[in] + nir[in]; /* output( " %d\n", niec[in+1] ); */ } /* output( "4\n" ); */ /* Fill in *p_icol (sorted). */ memset( nir, 0, (n_row + 1) * sizeof( int32 ) ); for (ig = 0; ig < n_gr; ig++) { /* output( "ig %d\n", ig ); */ for (iel = 0; iel < n_el[ig]; iel++) { pconn_r = conn_r[ig] + n_epr[ig] * iel; pconn_c = conn_c[ig] + n_epc[ig] * iel; for (ir = 0; ir < n_epr[ig]; ir++) { iir = pconn_r[ir]; if (iir < 0) continue; pr = niec[iir]; /* output( " %d %d %d\n", iir, pr, niec[iir+1] - pr ); */ for (ic = 0; ic < n_epc[ig]; ic++) { iic = pconn_c[ic]; if (iic < 0) continue; /* output( " %d %d\n", iic, nir[iir] ); */ /* This is a bottle-neck! */ found = 0; for (ii = pr; ii < (pr + nir[iir]); ii++) { if (icol[ii] == iic) { found = 1; break; } } /* output( " ? %d\n", found ); */ if (!found) { if (nir[iir] < (niec[iir+1] - pr)) { icol[pr+nir[iir]] = iic; nir[iir]++; /* output( " + %d %d\n", nir[iir], niec[iir+1] - pr ); */ } else { output( " %d %d\n", nir[iir], niec[iir+1] - pr ); errput( "ERR_VerificationFail\n" ); } } } /* qsort( icol + pr, nir[iir], sizeof( int32 ), &compareI32 ); */ int32_quicksort( icol + pr, nir[iir], 0 ); } } } /* output( "5\n" ); */ free_mem( nods ); free_mem( nir ); free_mem( eonlist ); return( RET_OK ); } /*! @par Revision history: - 06.03.2005, c - 07.03.2005 - 29.08.2007, from gr_components() (00.01.18) */ int32 graph_components( int32 *p_n_comp, int32 *flag, int32 flag_len, int32 *row, int32 row_len, int32 *col, int32 col_len, int32 *pos, int32 pos_len ) { // pos is a work array: list of nodes (rows) to process. int32 ret = RET_OK, n_tot, n_pos, n_pos_new, n_pos0, n_new, n_stop, n_nod; int32 icomp, ii, ir, ic; n_nod = row_len - 1; n_stop = n_nod; for (ir = 0; ir < n_nod; ir++) { flag[ir] = -1; if ((row[ir+1] - row[ir]) == 0) n_stop--; } n_tot = 0; for (icomp = 0; icomp < n_nod; icomp++) { // Find seed. ii = 0; while (flag[ii] >= 0) { ii++; if (ii >= n_nod) { errput( "error in graph_components()!\n" ); ERR_CheckGo( ret ); } } flag[ii] = icomp; pos[0] = ii; n_pos0 = 0; n_pos_new = n_pos = 1; for (ii = 0; ii < n_nod; ii++) { n_new = 0; for (ir = n_pos0; ir < n_pos; ir++) { for (ic = row[pos[ir]]; ic < row[pos[ir]+1]; ic++) { if (flag[col[ic]] == -1) { flag[col[ic]] = icomp; pos[n_pos_new] = col[ic]; n_pos_new++; n_new++; } } } /* output( "%d %d %d\n", ii, n_pos, n_new ); */ n_pos0 = n_pos; n_pos = n_pos_new; if (n_new == 0) break; } n_tot += n_pos; /* output( " %d %d %d %d\n", icomp, n_tot, n_stop, n_nod ); */ /* getchar(); */ if (n_tot == n_stop) { *p_n_comp = icomp + 1; break; } } end_label: return( ret ); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/meshutils.h000066400000000000000000000015641247364230400240130ustar00rootroot00000000000000#ifndef _MESHUTILS_H_ #define _MESHUTILS_H_ #include "common.h" int32 orient_elements( int32 *flag, int32 flag_n_row, int32 *conn, int32 conn_n_row, int32 conn_n_col, float64 *coors, int32 coors_n_row, int32 coors_n_col, int32 *v_roots, int32 v_roots_n_row, int32 *v_vecs, int32 v_vecs_n_row, int32 v_vecs_n_col, int32 *swap_from, int32 swap_from_n_row, int32 swap_from_n_col, int32 *swap_to, int32 swap_to_n_row, int32 swap_to_n_col ); int32 mesh_graph( int32 *p_nnz, int32 **p_prow, int32 **p_icol, int32 n_row, int32 n_col, int32 n_gr, int32 *n_el, int32 *n_epr, int32 **conn_r, int32 *n_epc, int32 **conn_c ); int32 graph_components( int32 *p_n_comp, int32 *flag, int32 flag_len, int32 *row, int32 row_len, int32 *col, int32 col_len, int32 *pos, int32 pos_len ); #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/refmaps.c000066400000000000000000000264471247364230400234350ustar00rootroot00000000000000#include "refmaps.h" #undef __FUNC__ #define __FUNC__ "map_print" /*! @par Revision history: - 11.10.2005, c - 12.10.2005 - 12.10.2006 */ int32 map_print( Mapping *obj, FILE *file, int32 mode ) { int32 ii, only_one = 0; char *modes[] = {"volume", "surface", "surface_extra"}; fprintf( file, "Mapping: mode %s, nEl "FI32", nQP "FI32", dim: " FI32", nEP: "FI32"\n", modes[obj->mode], obj->nEl, obj->nQP, obj->dim, obj->nEP ); fprintf( file, "totalVolume: %.5f\n", obj->totalVolume ); only_one = mode == 2; mode = Min(mode, 1); for (ii = 0; ii < obj->det->nCell; ii++) { FMF_SetCell( obj->det, ii ); FMF_SetCell( obj->volume, ii ); fprintf( file, FI32" det:\n", ii ); fmf_print( obj->det, file, mode ); fprintf( file, FI32" volume:\n", ii ); fmf_print( obj->volume, file, mode ); if ((obj->mode == MM_Volume) || (obj->mode == MM_SurfaceExtra)){ FMF_SetCell( obj->bfGM, ii ); fprintf( file, FI32 " bfGM:\n", ii ); fmf_print( obj->bfGM, file, mode ); } else { FMF_SetCell( obj->normal, ii ); fprintf( file, FI32 " normal:\n", ii ); fmf_print( obj->normal, file, mode ); } if (only_one) { break; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "map_describe" /*! @par Revision history: - 11.10.2005, c - 12.10.2005 - 05.06.2006 - 06.06.2006 */ int32 map_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, FMField *bfGR, FMField *ebfGR, FMField *weight ) { int32 nQP, ret = RET_OK; nQP = bfGR->nLev; if (!((nEl == obj->nEl) && (dim == obj->dim) && (nQP == obj->nQP) && (nEP == bfGR->nCol) && ((obj->mode != MM_Volume) || (ebfGR->nCol == obj->nEP)))) { map_print( obj, stdout, 2 ); errput( "size mismatch!\n" ); return( RET_Fail ); } if (obj->mode == MM_Volume) { ret = _v_describe(obj, coorIn, nNod, dim, conn, nEl, nEP, bfGR, ebfGR, weight); } else { ret = _s_describe(obj, coorIn, nNod, dim, conn, nEl, nEP, bfGR, weight); } return( ret ); } #undef __FUNC__ #define __FUNC__ "_v_describe" /*! */ int32 _v_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, FMField *bfGR, FMField *ebfGR, FMField *weight ) { int32 iel, inod, idim, pos, iqp, nQP, ret = RET_OK; FMField *mtxMR = 0, *mtxMRI = 0, *coor = 0; nQP = bfGR->nLev; fmf_createAlloc( &mtxMR, 1, nQP, dim, dim ); fmf_createAlloc( &mtxMRI, 1, nQP, dim, dim ); fmf_createAlloc( &coor, 1, 1, nEP, dim ); obj->totalVolume = 0.0; for (iel = 0; iel < obj->bfGM->nCell; iel++) { FMF_SetCell( obj->bfGM, iel ); FMF_SetCell( obj->det, iel ); FMF_SetCell( obj->volume, iel ); FMF_SetCellX1( ebfGR, iel ); for (inod = 0; inod < nEP; inod++) { pos = dim*conn[inod]; for (idim = 0; idim < dim; idim++ ) { coor->val[dim*inod+idim] = coorIn[idim+pos]; } } // Jacobi matrix from reference to material system. fmf_mulATBT_1n( mtxMR, coor, bfGR ); // Its determinant, preweighted. geme_det3x3( obj->det->val, mtxMR ); for (iqp = 0; iqp < nQP; iqp++) { if (obj->det->val[iqp] <= MachEps) { errput( "warp violation %e at (iel: "FI32", iqp: "FI32")!\n", obj->det->val[iqp], iel, iqp ); } } fmf_mul( obj->det, weight->val ); // Element volume. geme_elementVolume( obj->volume->val, obj->det->val, nQP ); obj->totalVolume += obj->volume->val[0]; // Inverse of Jacobi matrix reference to material system. geme_invert3x3( mtxMRI, mtxMR ); // Base function gradient w.r.t. material system. fmf_mulATB_nn( obj->bfGM, mtxMRI, ebfGR ); conn += nEP; ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &mtxMR ); fmf_freeDestroy( &mtxMRI ); fmf_freeDestroy( &coor ); return( ret ); } #undef __FUNC__ #define __FUNC__ "_s_describe" /*! @par Revision history: - 21.12.2005, c - 05.09.2006 */ int32 _s_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *fconn, int32 nFa, int32 nFP, FMField *bfGR, FMField *weight ) { int32 ii, pos, inod, idim, iqp, nQP, ret = RET_OK; float64 c1, c2, c3, det; float64 *jmat; FMField *faceCoor = 0, *mtxRMS = 0; nQP = bfGR->nLev; /* output( "%d %d %d %d\n", dim, nQP, nFP, nNod ); */ fmf_createAlloc( &faceCoor, 1, 1, nFP, dim ); fmf_createAlloc( &mtxRMS, 1, nQP, dim - 1, dim ); for (ii = 0; ii < nFa; ii++) { FMF_SetCell( obj->normal, ii ); FMF_SetCell( obj->det, ii ); FMF_SetCell( obj->volume, ii ); for (inod = 0; inod < nFP; inod++) { pos = dim*fconn[inod]; for (idim = 0; idim < dim; idim++ ) { faceCoor->val[dim*inod+idim] = coorIn[idim+pos]; } } /* fmf_print( faceCoor, stdout, 0 ); */ fmf_mulAB_n1( mtxRMS, bfGR, faceCoor ); /* Surface jacobian and normal. */ switch (dim) { case 2: /* dl = \norma{dx} = sqrt( dx^2 + dy^2 ) */ for (iqp = 0; iqp < nQP; iqp++) { jmat = FMF_PtrLevel( mtxRMS, iqp ); c1 = jmat[0]; c2 = jmat[1]; det = sqrt( c1*c1 + c2*c2 ); obj->det->val[iqp] = det * weight->val[iqp]; /* Unit outward normal. */ obj->normal->val[2*(iqp)+0] = c2 / det; obj->normal->val[2*(iqp)+1] = -c1 / det; } break; case 3: /* dS = \norma{dx x dy} */ for (iqp = 0; iqp < nQP; iqp++) { jmat = FMF_PtrLevel( mtxRMS, iqp ); c1 = jmat[1] * jmat[5] - jmat[4] * jmat[2]; c2 = jmat[0] * jmat[5] - jmat[3] * jmat[2]; c3 = jmat[0] * jmat[4] - jmat[1] * jmat[3]; det = sqrt( c1*c1 + c2*c2 + c3*c3 ); /* printf( "s: %f %f %f %f\n", c1, -c2, c3, det ); */ obj->det->val[iqp] = det * weight->val[iqp]; /* Unit outward normal. */ obj->normal->val[3*(iqp)+0] = c1 / det; obj->normal->val[3*(iqp)+1] = -c2 / det; obj->normal->val[3*(iqp)+2] = c3 / det; } break; default: errput( ErrHead "ERR_Switch\n" ); } // Face area. geme_elementVolume( obj->volume->val, obj->det->val, nQP ); obj->totalVolume += obj->volume->val[0]; fconn += nFP; ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &faceCoor ); fmf_freeDestroy( &mtxRMS ); return( ret ); } #undef __FUNC__ #define __FUNC__ "map_integrate" /*! Volume mapping: \int_{\Omega} u dV Surface mapping: - for scalar input p: \int_{\Gamma} p dS - for vector input v or mode < 3: \int_{\Gamma} v n dS @par Revision history: - 15.12.2005, c */ int32 map_integrate( Mapping *obj, FMField *out, FMField *in, int32 mode ) { int32 nQP, iel, ret = RET_OK; FMField *vn = 0; if ((obj->mode == MM_Volume) || (mode < 3) || (in->nRow == 1)) { for (iel = 0; iel < obj->det->nCell; iel++) { FMF_SetCell( obj->det, iel ); FMF_SetCell( in, iel ); FMF_SetCell( out, iel ); fmf_sumLevelsMulF( out, in, obj->det->val ); if (mode == 1) { FMF_SetCell( obj->volume, iel ); fmf_mulC( out, 1.0 / obj->volume->val[0] ); } ERR_CheckGo( ret ); } } else if (in->nRow == obj->dim) { nQP = obj->normal->nLev; fmf_createAlloc( &vn, 1, nQP, 1, 1 ); for (iel = 0; iel < obj->det->nCell; iel++) { FMF_SetCell( obj->normal, iel ); FMF_SetCell( obj->det, iel ); FMF_SetCell( in, iel ); FMF_SetCell( out, iel ); fmf_mulATB_nn( vn, in, obj->normal ); fmf_sumLevelsMulF( out, vn, obj->det->val ); if (mode == 4) { FMF_SetCell( obj->volume, iel ); fmf_mulC( out, 1.0 / obj->volume->val[0] ); } ERR_CheckGo( ret ); } } else { errput( ErrHead "ERR_Switch\n" ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &vn ); return( ret ); } #undef __FUNC__ #define __FUNC__ "map_getElementDiameters" /*! @par Revision history: - 09.01.2006, c - 10.01.2006 */ int32 map_getElementDiameters( Mapping *obj, FMField *out, int32 *edges, int32 edges_nRow, int32 edges_nCol, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow, int32 mode ) { int32 ii, ie, id, iel, nd; float64 val0 = 0.0, val1 = 0.0, vv, aux = 0.0, exponent; if (obj->mode != MM_Volume) { errput( ErrHead "only for volume mappings!\n" ); return( RET_Fail ); } if ((mode < 0) && (mode > 2)) { errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } /* output( "%d %d %d %d %d %d %d\n", */ /* edges_nRow, edges_nCol, nNod, dim, nEl, nEP, elList_nRow ); */ nd = obj->bfGM->nRow; // Can be <> dim. exponent = 1.0 / ((float64) dim); for (ii = 0; ii < elList_nRow; ii++) { iel = elList[ii]; FMF_SetCell( out, ii ); if ((mode == 0) || (mode == 2)) { val0 = 0.0; for (ie = 0; ie < edges_nRow; ie++) { vv = 0.0; for (id = 0; id < nd; id++) { aux = coorIn[dim*conn[nEP*iel+edges[2*ie+1]]+id] - coorIn[dim*conn[nEP*iel+edges[2*ie+0]]+id]; /* output( "%d %d %d %d %f %f %f\n", ii, iel, ie, id, aux, */ /* coorIn[dim*conn[nEP*iel+edges[2*ie+1]]+id], */ /* coorIn[dim*conn[nEP*iel+edges[2*ie+0]]+id] ); */ /* sys_pause(); */ vv += aux * aux; } /* output("%f\n", sqrt(vv)); */ val0 = Max( val0, vv ); out->val[0] = val0; } } if ((mode == 1) || (mode == 2)) { FMF_SetCell( obj->volume, ii ); val1 = pow( 0.16 * obj->volume->val[0], exponent ); out->val[0] = val1; } if (mode == 2) { out->val[0] = Max( val0, val1 ); } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "map_evaluateBFBGM" /*! @par Revision history: - 04.05.2007, c - 30.05.2007 */ int32 map_evaluateBFBGM( Mapping *obj, FMField *bfBGR, FMField *ebfBGR, float64 *coorIn, int32 nNod, int32 dim, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, iel, ifa, inod, idim, pos, nQP, ret = RET_OK; FMField *volCoor0 = 0, *mtxRM = 0, *mtxRMI = 0; if (obj->mode != MM_SurfaceExtra) { errput( ErrHead "only for surface extra mappings!\n" ); return( RET_Fail ); } nQP = obj->normal->nLev; fmf_createAlloc( &volCoor0, 1, 1, nEP, dim ); fmf_createAlloc( &mtxRM, 1, nQP, dim, dim ); fmf_createAlloc( &mtxRMI, 1, nQP, dim, dim ); for (ii = 0; ii < nFa; ii++) { iel = fis[ii*nFP+0]; ifa = fis[ii*nFP+1]; FMF_SetCell( obj->bfGM, ii ); FMF_SetCell( bfBGR, ifa ); FMF_SetCell( ebfBGR, ifa ); for (inod = 0; inod < nEP; inod++) { pos = dim*conn[nEP*iel+inod]; for (idim = 0; idim < dim; idim++ ) { volCoor0->val[dim*inod+idim] = coorIn[idim+pos]; } } fmf_mulAB_n1( mtxRM, bfBGR, volCoor0 ); geme_invert3x3( mtxRMI, mtxRM ); fmf_mulAB_nn( obj->bfGM, mtxRMI, ebfBGR ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &volCoor0 ); fmf_freeDestroy( &mtxRM ); fmf_freeDestroy( &mtxRMI ); return( ret ); } sfepy-release_2015.1/sfepy/discrete/fem/extmods/refmaps.h000066400000000000000000000037201247364230400234270ustar00rootroot00000000000000/*! @par Revision history: - 11.10.2005, c */ #ifndef _GEOMETRY_H_ #define _GEOMETRY_H_ #include "common.h" BEGIN_C_DECLS #include "geommech.h" typedef enum MappingMode { MM_Volume, MM_Surface, MM_SurfaceExtra, } MappingMode; typedef struct Mapping { MappingMode mode; int32 nEl; int32 nQP; int32 dim; int32 nEP; FMField *bf; FMField *bfGM; // Volume or SurfaceExtra only. FMField *det; // detJMR or detJSR. FMField *normal; // Surface only. FMField *volume; float64 totalVolume; } Mapping; int32 map_print( Mapping *obj, FILE *file, int32 mode ); int32 map_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, FMField *bfGR, FMField *ebfGR, FMField *weight ); int32 _v_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, FMField *bfGR, FMField *ebfGR, FMField *weight ); int32 _s_describe( Mapping *obj, float64 *coorIn, int32 nNod, int32 dim, int32 *fconn, int32 nFa, int32 nFP, FMField *bfGR, FMField *weight ); int32 map_integrate( Mapping *obj, FMField *out, FMField *in, int32 mode ); int32 map_getElementDiameters( Mapping *obj, FMField *out, int32 *edges, int32 edges_nRow, int32 edges_nCol, float64 *coorIn, int32 nNod, int32 dim, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow, int32 mode ); int32 map_evaluateBFBGM( Mapping *obj, FMField *bfBGR, FMField *ebfBGR, float64 *coorIn, int32 nNod, int32 dim, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nEP ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/setup.py000066400000000000000000000105371247364230400233370ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): import os.path as op from numpy.distutils.misc_util import Configuration from sfepy import Config site_config = Config() os_flag = {'posix' : 0, 'windows' : 1} auto_dir = op.dirname(__file__) auto_name = op.split(auto_dir)[-1] config = Configuration(auto_name, parent_package, top_path) defines = [('__SDIR__', "'\"%s\"'" % auto_dir), ('SFEPY_PLATFORM', os_flag[site_config.system()])] if '-DDEBUG_FMF' in site_config.debug_flags(): defines.append(('DEBUG_FMF', None)) if '-DDEBUG_MESH' in site_config.debug_flags(): defines.append(('DEBUG_MESH', None)) common_src = ['fmfield.c', 'refmaps.c', 'geommech.c', 'common_python.c'] config.add_library('sfepy_common', sources=common_src, extra_compiler_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir, site_config.python_include()], macros=defines) src = ['_fmfield.pyx'] config.add_extension('_fmfield', sources=src, libraries=['sfepy_common'], depends=common_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['mappings.pyx'] config.add_extension('mappings', sources=src, libraries=['sfepy_common'], depends=common_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['assemble.pyx'] config.add_extension('assemble', sources=src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['bases.pyx', 'lagrange.c'] config.add_extension('bases', sources=src, libraries=['sfepy_common'], depends=common_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['cmesh.pyx', 'geomtrans.c', 'mesh.c', 'meshutils.c', 'sort.c', 'common_python.c'] config.add_extension('cmesh', sources=src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['lobatto_bases.pyx', 'lobatto.c', 'lobatto1d.c'] config.add_extension('lobatto_bases', sources=src, libraries=['sfepy_common'], depends=common_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) src = ['_geommech.pyx'] config.add_extension('_geommech', sources=src, libraries=['sfepy_common'], extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir], define_macros=defines) # Include *.pxd files in distribution tarball and install them along # with the extension modules. pxd_files = ['mappings.pxd', 'types.pxd', '_fmfield.pxd', '_geommech.pxd'] config.add_data_files(('', pxd_files)) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/fem/extmods/sort.c000066400000000000000000000161631247364230400227610ustar00rootroot00000000000000/* These sorting functions are copied almost directly from numarray with a few modifications (complex comparisons compare the imaginary part if the real parts are equal, for example), and the names are changed. The original sorting code is due to Charles R. Harris who wrote it for numarray. */ /* Quick sort is usually the fastest, but the worst case scenario can be slower than the merge and heap sorts. The merge sort requires extra memory and so for large arrays may not be useful. Specialized to sort 2D int32 matrix by rows by Robert Cimrman. */ #include "sort.h" #define PYA_QS_STACK 100 #define MAX_NCOL 100 #define SMALL_QUICKSORT 15 #define STDC_LT(a,b) ((a) < (b)) #define STDC_LE(a,b) ((a) <= (b)) #define STDC_EQ(a,b) ((a) == (b)) #define SWAP(a,b) {SWAP_temp = (b); (b)=(a); (a) = SWAP_temp;} /* output( "%d %d %d\n", ii, row_a[ic[ii]], row_b[ic[ii]] );\ */ #define MTXR_LT( ret, row_a, row_b ) do {\ ret = 0;\ for (ii = 0; ii < n_c; ii++) {\ if (row_a[ic[ii]] < row_b[ic[ii]]) {\ ret = 1;\ break;\ } else if (row_a[ic[ii]] > row_b[ic[ii]]) {\ break;\ }\ }\ } while (0) #define MTXR_Push( row ) do {\ for (jj = 0; jj < n_col; jj++) {\ SWAP_temp[jj] = row[jj];\ }\ } while (0) #define MTXR_Pop( row ) do {\ for (jj = 0; jj < n_col; jj++) {\ row[jj] = SWAP_temp[jj];\ }\ } while (0) #define MTXR_Copy( row_to, row_from ) do {\ for (jj = 0; jj < n_col; jj++) {\ row_to[jj] = row_from[jj];\ }\ } while (0) #undef __FUNC__ #define __FUNC__ "int32_sort_rows" /*! @par Revision history: - 07.02.2006, c */ int32 int32_sort_rows( int32 *array, int32 n_row, int32 n_col, int32 *i_sort_col, int32 n_sort_col ) { int32 *SWAP_temp; int32 ii, jj, inew, ichain; int32 *perm, *perm_i; perm = alloc_mem( int32, n_row ); perm_i = alloc_mem( int32, n_row ); SWAP_temp = alloc_mem( int32, n_col ); /* Arg-sort rows: sorted = original[perm], sorted[perm_i] = original. */ for (ii = 0; ii < n_row; ii++) { perm[ii] = ii; } int32_mtx_aquicksort( array, n_row, n_col, i_sort_col, n_sort_col, perm ); for (ii = 0; ii < n_row; ii++) { perm_i[perm[ii]] = ii; } /* output( "argsort done.\n" ); */ /* Swap rows in place. */ for (ii = 0; ii < n_row; ii++) { if (ii == perm[ii]) continue; MTXR_Push( (array + n_col * ii) ); inew = perm[ii]; MTXR_Copy( (array + n_col * ii), (array + n_col * inew) ); perm[ii] = ii; /* Mark done (useless). */ ichain = perm_i[ii]; /* output( "%d %d %d\n", ii, inew, ichain ); */ while (inew != ichain) { MTXR_Pop( (array + n_col * inew) ); MTXR_Push( (array + n_col * ichain) ); MTXR_Copy( (array + n_col * ichain), (array + n_col * inew) ); perm[ichain] = ichain; /* Mark done. */ ichain = perm_i[ichain]; /* output( " %d\n", ichain ); */ /* getchar(); */ } MTXR_Pop( (array + n_col * inew) ); perm[inew] = inew; /* Mark done. */ } /* output( "swap done.\n" ); */ free_mem( perm ); free_mem( perm_i ); free_mem( SWAP_temp ); return( RET_OK ); } /*! @par Revision history: - 07.02.2006, from numpy */ int32 int32_quicksort(int32 *start, intp num, void *unused) { int32 *pl = start; int32 *pr = start + num - 1; int32 vp, SWAP_temp; int32 *stack[PYA_QS_STACK], **sptr = stack, *pm, *pi, *pj, *pt; for(;;) { while ((pr - pl) > SMALL_QUICKSORT) { /* quicksort partition */ pm = pl + ((pr - pl) >> 1); if (STDC_LT(*pm,*pl)) SWAP(*pm,*pl); if (STDC_LT(*pr,*pm)) SWAP(*pr,*pm); if (STDC_LT(*pm,*pl)) SWAP(*pm,*pl); vp = *pm; pi = pl; pj = pr - 1; SWAP(*pm,*pj); for(;;) { do ++pi; while (STDC_LT(*pi,vp)); do --pj; while (STDC_LT(vp,*pj)); if (pi >= pj) break; SWAP(*pi,*pj); } SWAP(*pi,*(pr-1)); /* push largest partition on stack */ if (pi - pl < pr - pi) { *sptr++ = pi + 1; *sptr++ = pr; pr = pi - 1; }else{ *sptr++ = pl; *sptr++ = pi - 1; pl = pi + 1; } } /* insertion sort */ for(pi = pl + 1; pi <= pr; ++pi) { vp = *pi; for(pj = pi, pt = pi - 1; \ pj > pl && STDC_LT(vp, *pt);) { *pj-- = *pt--; } *pj = vp; } if (sptr == stack) break; pr = *(--sptr); pl = *(--sptr); } return 0; } /*! @par Revision history: - 07.02.2006, from numpy */ int32 int32_aquicksort(int32 *v, intp* tosort, intp num, void *unused) { int32 vp; intp *pl, *pr, SWAP_temp; intp *stack[PYA_QS_STACK], **sptr=stack, *pm, *pi, *pj, *pt, vi; pl = tosort; pr = tosort + num - 1; for(;;) { while ((pr - pl) > SMALL_QUICKSORT) { /* quicksort partition */ pm = pl + ((pr - pl) >> 1); if (STDC_LT(v[*pm],v[*pl])) SWAP(*pm,*pl); if (STDC_LT(v[*pr],v[*pm])) SWAP(*pr,*pm); if (STDC_LT(v[*pm],v[*pl])) SWAP(*pm,*pl); vp = v[*pm]; pi = pl; pj = pr - 1; SWAP(*pm,*pj); for(;;) { do ++pi; while (STDC_LT(v[*pi],vp)); do --pj; while (STDC_LT(vp,v[*pj])); if (pi >= pj) break; SWAP(*pi,*pj); } SWAP(*pi,*(pr-1)); /* push largest partition on stack */ if (pi - pl < pr - pi) { *sptr++ = pi + 1; *sptr++ = pr; pr = pi - 1; }else{ *sptr++ = pl; *sptr++ = pi - 1; pl = pi + 1; } } /* insertion sort */ for(pi = pl + 1; pi <= pr; ++pi) { vi = *pi; vp = v[vi]; for(pj = pi, pt = pi - 1; \ pj > pl && STDC_LT(vp, v[*pt]);) { *pj-- = *pt--; } *pj = vi; } if (sptr == stack) break; pr = *(--sptr); pl = *(--sptr); } return 0; } /*! @par Revision history: - 07.02.2006, c */ int32 int32_mtx_aquicksort( int32 *v, int32 n_row, int32 n_col, int32 *ic, int32 n_c, intp* tosort ) { int32 ret, ii; int32 *vp; intp *pl, *pr, SWAP_temp; intp *stack[PYA_QS_STACK], **sptr=stack, *pm, *pi, *pj, *pt, vi; pl = tosort; pr = tosort + n_row - 1; for(;;) { while ((pr - pl) > SMALL_QUICKSORT) { /* quicksort partition */ pm = pl + ((pr - pl) >> 1); MTXR_LT( ret, (v + n_col * (*pm)), (v + n_col * (*pl)) ); if (ret) SWAP(*pm,*pl); MTXR_LT( ret, (v + n_col * (*pr)), (v + n_col * (*pm)) ); if (ret) SWAP(*pr,*pm); MTXR_LT( ret, (v + n_col * (*pm)), (v + n_col * (*pl)) ); if (ret) SWAP(*pm,*pl); vp = v + n_col * (*pm); pi = pl; pj = pr - 1; SWAP(*pm,*pj); for(;;) { do { ++pi; MTXR_LT( ret, (v + n_col * (*pi)), vp ); } while (ret); do { --pj; MTXR_LT( ret, vp, (v + n_col * (*pj)) ); } while (ret); if (pi >= pj) break; SWAP(*pi,*pj); } SWAP(*pi,*(pr-1)); /* push largest partition on stack */ if (pi - pl < pr - pi) { *sptr++ = pi + 1; *sptr++ = pr; pr = pi - 1; }else{ *sptr++ = pl; *sptr++ = pi - 1; pl = pi + 1; } } /* insertion sort */ for(pi = pl + 1; pi <= pr; ++pi) { vi = (*pi); vp = v + n_col * vi; pj = pi; pt = pi - 1; while (pj > pl) { MTXR_LT( ret, vp, (v + n_col * (*pt)) ); if (!ret) break; *pj-- = *pt--; } *pj = vi; } if (sptr == stack) break; pr = *(--sptr); pl = *(--sptr); } return 0; } sfepy-release_2015.1/sfepy/discrete/fem/extmods/sort.h000066400000000000000000000007451247364230400227650ustar00rootroot00000000000000#ifndef _SORT_H_ #define _SORT_H_ #include "common.h" BEGIN_C_DECLS typedef uint32 intp; int32 int32_sort_rows( int32 *array, int32 n_row, int32 n_col, int32 *i_sort_col, int32 n_sort_col ); int32 int32_quicksort(int32 *start, intp num, void *unused); int32 int32_aquicksort(int32 *v, intp* tosort, intp num, void *unused); int32 int32_mtx_aquicksort( int32 *v, int32 n_row, int32 n_col, int32 *ic, int32 n_c, intp* tosort ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/types.h000066400000000000000000000016711247364230400231410ustar00rootroot00000000000000#ifndef _SFEPY_TYPES_H_ #define _SFEPY_TYPES_H_ #include #include #define FI32 "%"NPY_INT32_FMT #define FF64 "%"NPY_FLOAT64_FMT typedef unsigned char uchar; typedef npy_int16 int16; typedef npy_uint16 uint16; typedef npy_int32 int32; typedef npy_uint32 uint32; typedef npy_float32 float32; typedef npy_float64 float64; /*! @name Utility macros Inspired by umfpack. @par Revision history: - 04.06.2001 - 03.04.2003 */ /*@{*/ #define Abs(x) ((x) >= 0 ? (x) : -(x)) #define Max(a,b) (((a) > (b)) ? (a) : (b)) #define Min(a,b) (((a) < (b)) ? (a) : (b)) #define Sgn(a) (((a)>0) ? 1 : (((a)<0) ? -1 : 0)) #define StringMatch(s1,s2) (strcmp ((s1), (s2)) == 0) #define Implies(p,q) (!(p) || (q)) #define FLG_TestStatus( obj, flag ) (((obj)->status) & (flag)) #define FLG_SetStatus( obj, flag ) (((obj)->status) |= flag) #define FLG_ClearStatus( obj, flag ) (((obj)->status) &= ~flag) /*@}*/ #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/extmods/types.pxd000066400000000000000000000003141247364230400234760ustar00rootroot00000000000000# -*- Mode: Python -*- """ Basic types. """ cimport numpy as np import numpy as np ctypedef np.complex128_t complex128 ctypedef np.float64_t float64 ctypedef np.int32_t int32 ctypedef np.uint32_t uint32 sfepy-release_2015.1/sfepy/discrete/fem/extmods/version.h.in000066400000000000000000000002101247364230400240530ustar00rootroot00000000000000/*! @par Revision history: - 12.01.2001, c */ #ifndef _VERSION_H_ #define _VERSION_H_ #define VERSION "0.0.0" #endif /* Header */ sfepy-release_2015.1/sfepy/discrete/fem/facets.py000066400000000000000000000146401247364230400217600ustar00rootroot00000000000000""" Helper functions related to mesh facets and Lagrange FE approximation. Line: ori - iter: 0 - iter0 1 - iter1 Triangle: ori - iter: 0 - iter21 1 - iter12 3 - iter02 4 - iter20 6 - iter10 7 - iter01 Possible couples: 1, 4, 7 <-> 0, 3, 6 Square: ori - iter: 0 - iter10x01y 7 - iter10y01x 11 - iter01y01x 30 - iter01x10y 33 - iter10x10y 52 - iter01y10x 56 - iter10y10x 63 - iter01x01y Possible couples: 7, 33, 52, 63 <-> 0, 11, 30, 56 """ import numpy as nm _quad_ori_groups = { 0 : 0, 1 : 0, 3 : 7, 4 : 0, 6 : 7, 7 : 7, 11 : 11, 15 : 11, 20 : 52, 22 : 30, 30 : 30, 31 : 63, 32 : 33, 33 : 33, 41 : 33, 43 : 11, 48 : 56, 52 : 52, 56 : 56, 57 : 56, 59 : 63, 60 : 52, 62 : 30, 63 : 63, } def build_orientation_map(n_fp): """ The keys are binary masks of the lexicographical ordering of facet vertices. A bit i set to one means `v[i] < v[i+1]`. The values are `[original_order, permutation]`, where `permutation` can be used to sort facet vertices lexicographically. Hence `permuted_facet = facet[permutation]`. """ from sfepy.linalg import permutations indices = range(n_fp) cmps = [(i1, i2) for i2 in indices for i1 in indices[:i2]] powers = [2**ii for ii in range(len(cmps))] ori_map = {} for indx in permutations(indices): key = 0 sign = 1 for ip, power in enumerate(powers): i1, i2 = cmps[ip] less = (indx[i1] < indx[i2]) key += power * less if not less: sign *= -1 isort = nm.argsort(indx) ori_map[key] = [indx, isort] return ori_map, cmps, powers def iter0(num): for ir in xrange(num - 1, -1, -1): yield ir def iter1(num): for ir in xrange(num): yield ir ori_line_to_iter = { 0 : iter0, 1 : iter1, } def make_line_matrix(order): if (order < 2): return nm.zeros((0, 0), dtype=nm.int32) oo = order - 1 mtx = nm.arange(oo, dtype=nm.int32) return mtx def iter01(num): for ir in xrange(num - 1, -1, -1): for ic in xrange(ir + 1): yield ir, ic def iter10(num): for ir in xrange(num - 1, -1, -1): for ic in xrange(ir, -1, -1): yield ir, ic def iter02(num): for ic in xrange(num): for ir in xrange(num - 1, ic - 1, -1): yield ir, ic def iter20(num): for ic in xrange(num): for ir in xrange(ic, num): yield ir, ic def iter12(num): for idiag in xrange(num): irs, ics = nm.diag_indices(num - idiag) for ii in xrange(irs.shape[0] - 1, -1, -1): yield irs[ii] + idiag, ics[ii] def iter21(num): for idiag in xrange(num): irs, ics = nm.diag_indices(num - idiag) for ii in xrange(irs.shape[0]): yield irs[ii] + idiag, ics[ii] ori_triangle_to_iter = { 0 : iter21, 1 : iter12, 3 : iter02, 4 : iter20, 6 : iter10, 7 : iter01, } def make_triangle_matrix(order): if (order < 3): return nm.zeros((0, 0), dtype=nm.int32) oo = order - 2 mtx = nm.zeros((oo, oo), dtype=nm.int32) for ii, (ir, ic) in enumerate(iter01(oo)): mtx[ir, ic] = ii return mtx def iter01x01y(num): for ir in xrange(num): for ic in xrange(num): yield ir, ic def iter01y01x(num): for ir, ic in iter01x01y(num): yield ic, ir def iter10x01y(num): for ir in xrange(num - 1, -1, -1): for ic in xrange(num): yield ir, ic def iter10y01x(num): for ir, ic in iter10x01y(num): yield ic, ir def iter01x10y(num): for ir in xrange(num): for ic in xrange(num - 1, -1, -1): yield ir, ic def iter01y10x(num): for ir, ic in iter01x10y(num): yield ic, ir def iter10x10y(num): for ir in xrange(num - 1, -1, -1): for ic in xrange(num - 1, -1, -1): yield ir, ic def iter10y10x(num): for ir, ic in iter10x10y(num): yield ic, ir ori_square_to_iter = { 0 : iter10x01y, 7 : iter10y01x, 11 : iter01y01x, 30 : iter01x10y, 33 : iter10x10y, 52 : iter01y10x, 56 : iter10y10x, 63 : iter01x01y, } def make_square_matrix(order): if (order < 2): return nm.zeros((0, 0), dtype=nm.int32) oo = order - 1 mtx = nm.arange(oo * oo, dtype=nm.int32) mtx.shape = (oo, oo) return mtx def get_facet_dof_permutations(n_fp, igs, order): """ Prepare DOF permutation vector for each possible facet orientation. """ from sfepy.base.base import dict_to_array if n_fp == 2: mtx = make_line_matrix(order) ori_map = ori_line_to_iter fo = order - 1 elif n_fp == 3: mtx = make_triangle_matrix(order) ori_map = ori_triangle_to_iter fo = order - 2 elif n_fp == 4: mtx = make_square_matrix(order) ori_map = {} for key, val in _quad_ori_groups.iteritems(): ori_map[key] = ori_square_to_iter[val] fo = order - 1 else: raise ValueError('unsupported number of facet points! (%d)' % n_fp) dof_perms = {} for ig in igs: dof_perms[ig] = {} for key, itfun in ori_map.iteritems(): dof_perms[ig][key] = [mtx[ii] for ii in itfun(fo)] dof_perms[ig] = dict_to_array(dof_perms[ig]) return dof_perms if __name__ == '__main__': order = 5 mtx = make_triangle_matrix(order) print mtx oo = order - 2 print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[0](oo)] print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[1](oo)] print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[3](oo)] print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[4](oo)] print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[6](oo)] print [mtx[ir, ic] for ir, ic in ori_triangle_to_iter[7](oo)] order = 4 mtx = make_square_matrix(order) print mtx oo = order - 1 print [mtx[ir, ic] for ir, ic in ori_square_to_iter[0](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[7](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[11](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[30](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[33](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[52](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[56](oo)] print [mtx[ir, ic] for ir, ic in ori_square_to_iter[63](oo)] sfepy-release_2015.1/sfepy/discrete/fem/fe_surface.py000066400000000000000000000076211247364230400226160ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import get_default, Struct from sfepy.discrete.fem.facets import build_orientation_map from sfepy.discrete.fem.utils import prepare_remap class FESurface(Struct): """Description of a surface of a finite element domain.""" def __init__(self, name, region, efaces, volume_econn, ig): """nodes[leconn] == econn""" """nodes are sorted by node number -> same order as region.vertices""" self.name = get_default(name, 'surface_data_%s' % region.name) face_indices = region.get_facet_indices(ig) faces = efaces[face_indices[:,1]] if faces.size == 0: raise ValueError('region with group with no faces! (%s)' % region.name) try: ee = volume_econn[face_indices[:,0]] except: raise ValueError('missing region face indices! (%s)' % region.name) econn = nm.empty(faces.shape, dtype=nm.int32) for ir, face in enumerate( faces ): econn[ir] = ee[ir,face] nodes = nm.unique(econn) remap = prepare_remap(nodes, nodes.max() + 1) leconn = remap[econn].copy() n_fa, n_fp = face_indices.shape[0], faces.shape[1] face_type = 's%d' % n_fp # Store bkey in SurfaceData, so that base function can be # queried later. bkey = 'b%s' % face_type[1:] self.ig = ig self.econn = econn self.fis = nm.ascontiguousarray(face_indices.astype(nm.int32)) self.n_fa, self.n_fp = n_fa, n_fp self.nodes = nodes self.leconn = leconn self.face_type = face_type self.bkey = bkey self.meconn = self.mleconn = None if self.n_fp <= 4: self.ori_map, _, _ = build_orientation_map(self.n_fp) else: self.ori_map = None def setup_mirror_connectivity(self, region): """ Setup mirror surface connectivity required to integrate over a mirror region. 1. Get orientation of the faces: a) for elements in group ig -> ooris (own) b) for elements in group mig -> moris (mirror) 2. orientation -> permutation. """ mregion, ig_map, ig_map_i = region.get_mirror_region() mig = ig_map_i[self.ig] oo = self.ori_map ori_map = nm.zeros((nm.max(oo.keys()) + 1, self.n_fp), dtype=nm.int32) ori_map[oo.keys()] = nm.array([ii[1] for ii in oo.values()]) conn = region.domain.cmesh.get_conn_as_graph(region.dim, region.dim - 1) oris = region.domain.cmesh.facet_oris ofis = region.get_facet_indices(self.ig, offset=False) ooris = oris[conn.indptr[ofis[:, 0]] + ofis[:, 1]] mfis = mregion.get_facet_indices(mig, offset=False) moris = oris[conn.indptr[mfis[:, 0]] + mfis[:, 1]] omap = ori_map[ooris] mmap = ori_map[moris] n_el, n_ep = self.econn.shape ii = nm.repeat(nm.arange(n_el)[:, None], n_ep, 1) self.meconn = nm.empty_like(self.econn) self.meconn[ii, omap] = self.econn[ii, mmap] nodes = nm.unique(self.meconn) remap = prepare_remap(nodes, nodes.max() + 1) self.mleconn = remap[self.meconn].copy() def get_connectivity(self, local=False, is_trace=False): """ Return the surface element connectivity. Parameters ---------- local : bool If True, return local connectivity w.r.t. surface nodes, otherwise return global connectivity w.r.t. all mesh nodes. is_trace : bool If True, return mirror connectivity according to `local`. """ if not is_trace: if local: return self.leconn else: return self.econn else: if local: return self.mleconn else: return self.meconn sfepy-release_2015.1/sfepy/discrete/fem/fea.py000066400000000000000000000360451247364230400212510ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import Struct, assert_ from sfepy.discrete.fem.mappings import VolumeMapping, SurfaceMapping from poly_spaces import PolySpace from fe_surface import FESurface def set_mesh_coors(domain, fields, coors, update_fields=False, actual=False, clear_all=True): if actual: domain.mesh.coors_act = coors.copy() else: domain.mesh.coors = coors.copy() domain.cmesh.coors[:] = coors if update_fields: for field in fields.itervalues(): field.setup_coors(coors) field.clear_mappings(clear_all=clear_all) def eval_nodal_coors(coors, mesh_coors, region, poly_space, geom_poly_space, econn, ig, only_extra=True): """ Compute coordinates of nodes corresponding to `poly_space`, given mesh coordinates and `geom_poly_space`. """ if only_extra: iex = (poly_space.nts[:,0] > 0).nonzero()[0] if iex.shape[0] == 0: return qp_coors = poly_space.node_coors[iex, :] econn = econn[:, iex].copy() else: qp_coors = poly_space.node_coors ## # Evaluate geometry interpolation base functions in (extra) nodes. bf = geom_poly_space.eval_base(qp_coors) bf = bf[:,0,:].copy() ## # Evaluate extra coordinates with 'bf'. group = region.domain.groups[ig] cells = region.get_cells(ig) ecoors = nm.dot(bf, mesh_coors[group.conn[cells]]) coors[econn] = nm.swapaxes(ecoors, 0, 1) ## # 04.08.2005, c def _interp_to_faces( vertex_vals, bfs, faces ): dim = vertex_vals.shape[1] n_face = faces.shape[0] n_qp = bfs.shape[0] faces_vals = nm.zeros( (n_face, n_qp, dim), nm.float64 ) for ii, face in enumerate( faces ): vals = vertex_vals[face,:dim] faces_vals[ii,:,:] = nm.dot( bfs[:,0,:], vals ) return( faces_vals ) class Interpolant( Struct ): """A simple wrapper around PolySpace.""" def __init__(self, name, gel, space='H1', base='lagrange', approx_order=1, force_bubble=False): self.name = name self.gel = gel self.poly_spaces = poly_spaces = {} poly_spaces['v'] = PolySpace.any_from_args(name, gel, approx_order, base=base, force_bubble=force_bubble) gel = gel.surface_facet if gel is not None: ps = PolySpace.any_from_args(name, gel, approx_order, base=base, force_bubble=False) skey = 's%d' % ps.n_nod poly_spaces[skey] = ps def describe_nodes( self ): ps = self.poly_spaces['v'] node_desc = ps.describe_nodes() return node_desc ## # 16.11.2007, c def get_n_nodes( self ): nn = {} for key, ps in self.poly_spaces.iteritems(): nn[key] = ps.nodes.shape[0] return nn def get_geom_poly_space(self, key): if key == 'v': ps = self.gel.interp.poly_spaces['v'] elif key[0] == 's': n_v = self.gel.surface_facet.n_vertex ps = self.gel.interp.poly_spaces['s%d' % n_v] else: raise ValueError('bad polynomial space key! (%s)' % key) return ps class SurfaceInterpolant(Interpolant): """ Like Interpolant, but for use with SurfaceField and SurfaceApproximation. """ def __init__(self, name, gel, space='H1', base='lagrange', approx_order=1, force_bubble=False): Interpolant.__init__(self, name, gel, space=space, base=base, approx_order=approx_order, force_bubble=force_bubble) # Make alias 'v' <-> 's#'. ps = self.poly_spaces['v'] self.poly_spaces['s%d' % ps.n_nod] = ps def get_geom_poly_space(self, key): assert_(key[0] == 's') ps = self.gel.interp.poly_spaces['v'] return ps ## # 18.07.2006, c class Approximation( Struct ): ## # 18.07.2006, c # 10.10.2006 # 11.07.2007 # 17.07.2007 def __init__(self, name, interp, region, ig, is_surface=False): """interp, region are borrowed.""" self.name = name self.interp = interp self.region = region self.ig = ig self.is_surface = is_surface self.surface_data = {} self.edge_data = {} self.point_data = {} self.n_ep = self.interp.get_n_nodes() self.ori = None self.clear_qp_base() def eval_extra_coor(self, coors, mesh_coors): """ Compute coordinates of extra nodes. """ gps = self.interp.gel.interp.poly_spaces['v'] ps = self.interp.poly_spaces['v'] eval_nodal_coors(coors, mesh_coors, self.region, ps, gps, self.econn, self.ig) ## # c: 05.09.2006, r: 09.05.2008 def setup_surface_data( self, region ): """nodes[leconn] == econn""" """nodes are sorted by node number -> same order as region.vertices""" sd = FESurface('surface_data_%s' % region.name, region, self.efaces, self.econn, self.ig) self.surface_data[region.name] = sd return sd ## # 11.07.2007, c def setup_point_data( self, field, region ): conn = field.get_dofs_in_region(region, merge=True, igs=region.igs) ## conn = [nods]\ ## + [nm.empty( (0,), dtype = nm.int32 )]\ ## * (len( region.igs ) - 1) conn.shape += (1,) self.point_data[region.name] = conn def get_connectivity(self, region, integration, is_trace=False): """ Return the DOF connectivity for the given geometry type. Parameters ---------- region : Region instance The region, used to index surface and volume connectivities. integration : one of ('volume', 'plate', 'surface', 'surface_extra') The term integration type. """ if integration == 'surface': sd = self.surface_data[region.name] conn = sd.get_connectivity(self.is_surface, is_trace=is_trace) elif integration in ('volume', 'plate', 'surface_extra'): if region.name == self.region.name: conn = self.econn else: aux = integration in ('volume', 'plate') cells = region.get_cells(self.ig, true_cells_only=aux) conn = nm.take(self.econn, cells.astype(nm.int32), axis=0) else: raise ValueError('unsupported term integration! (%s)' % integration) return conn def get_poly_space(self, key, from_geometry=False): """ Get the polynomial space. Parameters ---------- key : 'v' or 's?' The key denoting volume or surface. from_geometry : bool If True, return the polynomial space for affine geometrical interpolation. Returns ------- ps : PolySpace instance The polynomial space. """ if from_geometry: ps = self.interp.get_geom_poly_space(key) else: ps = self.interp.poly_spaces[key] return ps def clear_qp_base(self): """ Remove cached quadrature points and base functions. """ self.qp_coors = {} self.bf = {} def get_qp(self, key, integral): """ Get quadrature points and weights corresponding to the given key and integral. The key is 'v' or 's#', where # is the number of face vertices. """ qpkey = (integral.order, key) if not self.qp_coors.has_key(qpkey): interp = self.interp if (key[0] == 's'): dim = interp.gel.dim - 1 n_fp = interp.gel.surface_facet.n_vertex geometry = '%d_%d' % (dim, n_fp) else: geometry = interp.gel.name vals, weights = integral.get_qp(geometry) self.qp_coors[qpkey] = Struct(vals=vals, weights=weights) return self.qp_coors[qpkey] def get_base(self, key, derivative, integral, iels=None, from_geometry=False, base_only=True): qp = self.get_qp(key, integral) ps = self.get_poly_space(key, from_geometry=from_geometry) _key = key if not from_geometry else 'g' + key bf_key = (integral.order, _key, derivative) if not self.bf.has_key(bf_key): if (iels is not None) and (self.ori is not None): ori = self.ori[iels] else: ori = self.ori self.bf[bf_key] = ps.eval_base(qp.vals, diff=derivative, ori=ori) if base_only: return self.bf[bf_key] else: return self.bf[bf_key], qp.weights def describe_geometry(self, field, gtype, region, integral, return_mapping=False): """ Compute jacobians, element volumes and base function derivatives for Volume-type geometries (volume mappings), and jacobians, normals and base function derivatives for Surface-type geometries (surface mappings). Notes ----- - volume mappings can be defined on a part of an element group, although the field has to be defined always on the whole group. - surface mappings are defined on the surface region - surface mappings require field order to be > 0 """ domain = field.domain group = domain.groups[self.ig] coors = domain.get_mesh_coors(actual=True) if gtype == 'volume': qp = self.get_qp('v', integral) iels = region.get_cells(self.ig) geo_ps = self.interp.get_geom_poly_space('v') ps = self.interp.poly_spaces['v'] bf = self.get_base('v', 0, integral, iels=iels) conn = nm.take(group.conn, iels.astype(nm.int32), axis=0) mapping = VolumeMapping(coors, conn, poly_space=geo_ps) vg = mapping.get_mapping(qp.vals, qp.weights, poly_space=ps, ori=self.ori) out = vg elif gtype == 'plate': import sfepy.mechanics.membranes as mm from sfepy.linalg import dot_sequences qp = self.get_qp('v', integral) iels = region.get_cells(self.ig) ps = self.interp.poly_spaces['v'] bf = self.get_base('v', 0, integral, iels=iels) conn = nm.take(group.conn, nm.int32(iels), axis=0) ccoors = coors[conn] # Coordinate transformation matrix (transposed!). mtx_t = mm.create_transformation_matrix(ccoors) # Transform coordinates to the local coordinate system. coors_loc = dot_sequences((ccoors - ccoors[:, 0:1, :]), mtx_t) # Mapping from transformed elements to reference elements. mapping = mm.create_mapping(coors_loc, field.gel, 1) vg = mapping.get_mapping(qp.vals, qp.weights, poly_space=ps, ori=self.ori) vg.mtx_t = mtx_t out = vg elif (gtype == 'surface') or (gtype == 'surface_extra'): assert_(field.approx_order > 0) if self.ori is not None: msg = 'surface integrals do not work yet with the' \ ' hierarchical basis!' raise ValueError(msg) sd = domain.surface_groups[self.ig][region.name] esd = self.surface_data[region.name] qp = self.get_qp(sd.face_type, integral) geo_ps = self.interp.get_geom_poly_space(sd.face_type) ps = self.interp.poly_spaces[esd.face_type] bf = self.get_base(esd.face_type, 0, integral) conn = sd.get_connectivity() mapping = SurfaceMapping(coors, conn, poly_space=geo_ps) sg = mapping.get_mapping(qp.vals, qp.weights, poly_space=ps, mode=gtype) if gtype == 'surface_extra': sg.alloc_extra_data(self.n_ep['v']) self.create_bqp(region.name, integral) qp = self.qp_coors[(integral.order, esd.bkey)] v_geo_ps = self.interp.get_geom_poly_space('v') bf_bg = v_geo_ps.eval_base(qp.vals, diff=True) ebf_bg = self.get_base(esd.bkey, 1, integral) sg.evaluate_bfbgm(bf_bg, ebf_bg, coors, sd.fis, group.conn) out = sg elif gtype == 'point': out = mapping = None else: raise ValueError('unknown geometry type: %s' % gtype) if out is not None: # Store the integral used. out.integral = integral out.qp = qp out.ps = ps # Update base. out.bf[:] = bf if return_mapping: out = (out, mapping) return out def _create_bqp(self, skey, bf_s, weights, integral): interp = self.interp gel = interp.gel bkey = 'b%s' % skey[1:] bqpkey = (integral.order, bkey) coors, faces = gel.coors, gel.get_surface_entities() vals = _interp_to_faces(coors, bf_s, faces) self.qp_coors[bqpkey] = Struct(name = 'BQP_%s' % bkey, vals = vals, weights = weights) interp.poly_spaces[bkey] = interp.poly_spaces['v'] return bkey def create_bqp(self, region_name, integral): sd = self.surface_data[region_name] bqpkey = (integral.order, sd.bkey) if not bqpkey in self.qp_coors: bf_s = self.get_base(sd.face_type, 0, integral, from_geometry=True) qp = self.get_qp(sd.face_type, integral) bkey = self._create_bqp(sd.face_type, bf_s, qp.weights, integral) assert_(bkey == sd.bkey) class DiscontinuousApproximation(Approximation): def eval_extra_coor(self, coors, mesh_coors): """ Compute coordinates of extra nodes. For discontinuous approximations, all nodes are treated as extra. """ gps = self.interp.gel.interp.poly_spaces['v'] ps = self.interp.poly_spaces['v'] eval_nodal_coors(coors, mesh_coors, self.region, ps, gps, self.econn, self.ig, only_extra=False) class SurfaceApproximation(Approximation): def __init__(self, name, interp, region, ig): Approximation.__init__(self, name, interp, region, ig, is_surface=True) def get_qp(self, key, integral): """ Get quadrature points and weights corresponding to the given key and integral. The key is 's#', where # is the number of face vertices. """ assert_(key[0] == 's') qpkey = (integral.order, key) if not self.qp_coors.has_key(qpkey): interp = self.interp geometry = interp.gel.name vals, weights = integral.get_qp(geometry) self.qp_coors[qpkey] = Struct(vals=vals, weights=weights) return self.qp_coors[qpkey] sfepy-release_2015.1/sfepy/discrete/fem/fields_base.py000066400000000000000000001153631247364230400227570ustar00rootroot00000000000000""" Notes ----- Important attributes of continuous (order > 0) :class:`Field` and :class:`SurfaceField` instances: - `vertex_remap` : `econn[:, :n_vertex] = vertex_remap[conn]` - `vertex_remap_i` : `conn = vertex_remap_i[econn[:, :n_vertex]]` where `conn` is the mesh vertex connectivity, `econn` is the region-local field connectivity. """ import numpy as nm from sfepy.base.base import output, get_default, assert_ from sfepy.base.base import Struct import fea from sfepy.discrete.common.fields import parse_shape, Field from sfepy.discrete.fem.mesh import Mesh from sfepy.discrete.fem.meshio import convert_complex_output from sfepy.discrete.fem.utils import (extend_cell_data, prepare_remap, invert_remap, get_min_value) from sfepy.discrete.fem.fe_surface import FESurface from sfepy.discrete.integrals import Integral from sfepy.discrete.fem.linearizer import (get_eval_dofs, get_eval_coors, create_output) def get_eval_expression(expression, ig, fields, materials, variables, functions=None, mode='eval', term_mode=None, extra_args=None, verbose=True, kwargs=None): """ Get the function for evaluating an expression given a list of elements, and reference element coordinates. """ from sfepy.discrete.evaluate import eval_in_els_and_qp def _eval(iels, coors): val = eval_in_els_and_qp(expression, ig, iels, coors, fields, materials, variables, functions=functions, mode=mode, term_mode=term_mode, extra_args=extra_args, verbose=verbose, kwargs=kwargs) return val[..., 0] return _eval def create_expression_output(expression, name, primary_field_name, fields, materials, variables, functions=None, mode='eval', term_mode=None, extra_args=None, verbose=True, kwargs=None, min_level=0, max_level=1, eps=1e-4): """ Create output mesh and data for the expression using the adaptive linearizer. Parameters ---------- expression : str The expression to evaluate. name : str The name of the data. primary_field_name : str The name of field that defines the element groups and polynomial spaces. fields : dict The dictionary of fields used in `variables`. materials : Materials instance The materials used in the expression. variables : Variables instance The variables used in the expression. functions : Functions instance, optional The user functions for materials etc. mode : one of 'eval', 'el_avg', 'qp' The evaluation mode - 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. term_mode : str The term call mode - some terms support different call modes and depending on the call mode different values are returned. extra_args : dict, optional Extra arguments to be passed to terms in the expression. verbose : bool If False, reduce verbosity. kwargs : dict, optional The variables (dictionary of (variable name) : (Variable instance)) to be used in the expression. min_level : int The minimum required level of mesh refinement. max_level : int The maximum level of mesh refinement. eps : float The relative tolerance parameter of mesh adaptivity. Returns ------- out : dict The output dictionary. """ field = fields[primary_field_name] vertex_coors = field.coors[:field.n_vertex_dof, :] coors = [] vdofs = [] conns = [] mat_ids = [] levels = [] offset = 0 for ig, ap in field.aps.iteritems(): ps = ap.interp.poly_spaces['v'] gps = ap.interp.gel.interp.poly_spaces['v'] group = field.domain.groups[ig] vertex_conn = ap.econn[:, :group.shape.n_ep] eval_dofs = get_eval_expression(expression, ig, fields, materials, variables, functions=functions, mode=mode, extra_args=extra_args, verbose=verbose, kwargs=kwargs) eval_coors = get_eval_coors(vertex_coors, vertex_conn, gps) (level, _coors, conn, _vdofs, _mat_ids) = create_output(eval_dofs, eval_coors, group.shape.n_el, ps, min_level=min_level, max_level=max_level, eps=eps) _mat_ids[:] = field.domain.mesh.mat_ids[ig][0] coors.append(_coors) vdofs.append(_vdofs) conns.append(conn + offset) mat_ids.append(_mat_ids) levels.append(level) offset += _coors.shape[0] coors = nm.concatenate(coors, axis=0) vdofs = nm.concatenate(vdofs, axis=0) mesh = Mesh.from_data('linearized_mesh', coors, None, conns, mat_ids, field.domain.mesh.descs) out = {} out[name] = Struct(name='output_data', mode='vertex', data=vdofs, var_name=name, dofs=None, mesh=mesh, levels=levels) out = convert_complex_output(out) return out class FEField(Field): """ Base class for finite element fields. Notes ----- - Region can span over several groups -> different Aproximation instances - interps and hence node_descs are per region (must have single geometry!) - no two interps can be in a same group -> no two aps (with different regions) can be in a same group -> aps can be uniquely indexed with ig Field shape information: - ``shape`` - the shape of the base functions in a point - ``n_components`` - the number of DOFs per FE node - ``val_shape`` - the shape of field value (the product of DOFs and base functions) in a point """ def __init__(self, name, dtype, shape, region, approx_order=1): """ Create a finite element field. Parameters ---------- name : str The field name. dtype : numpy.dtype The field data type: float64 or complex128. shape : int/tuple/str The field shape: 1 or (1,) or 'scalar', space dimension (2, or (2,) or 3 or (3,)) or 'vector', or a tuple. The field shape determines the shape of the FE base functions and is related to the number of components of variables and to the DOF per node count, depending on the field kind. region : Region The region where the field is defined. approx_order : int or tuple The FE approximation order. The tuple form is (order, has_bubble), e.g. (1, True) means order 1 with a bubble function. Notes ----- Assumes one cell type for the whole region! """ shape = parse_shape(shape, region.domain.shape.dim) if not self._check_region(region): raise ValueError('unsuitable region for field %s! (%s)' % (name, region.name)) Struct.__init__(self, name=name, dtype=dtype, shape=shape, region=region) self.domain = self.region.domain self.igs = self.region.igs self._set_approx_order(approx_order) self._setup_geometry() self._setup_kind() self._setup_shape() self._create_interpolant() self._setup_approximations() self._setup_global_base() self.setup_coors() self.clear_mappings(clear_all=True) def _set_approx_order(self, approx_order): """ Set a uniform approximation order. """ if isinstance(approx_order, tuple): self.approx_order = approx_order[0] self.force_bubble = approx_order[1] else: self.approx_order = approx_order self.force_bubble = False def _create_interpolant(self): name = '%s_%s_%s_%d%s' % (self.gel.name, self.space, self.poly_space_base, self.approx_order, 'B' * self.force_bubble) self.interp = fea.Interpolant(name, self.gel, self.space, self.poly_space_base, self.approx_order, self.force_bubble) def _setup_approximations(self): self.aps = {} self.aps_by_name = {} for ig in self.igs: name = self.interp.name + '_%s_ig%d' % (self.region.name, ig) ap = fea.Approximation(name, self.interp, self.region, ig) self.aps[ig] = ap self.aps_by_name[ap.name] = ap def get_true_order(self): """ Get the true approximation order depending on the reference element geometry. For example, for P1 (linear) approximation the true order is 1, while for Q1 (bilinear) approximation in 2D the true order is 2. """ gel = self.gel if (gel.dim + 1) == gel.n_vertex: order = self.approx_order else: order = gel.dim * self.approx_order if self.force_bubble: bubble_order = gel.dim + 1 order = max(order, bubble_order) return order def is_higher_order(self): """ Return True, if the field's approximation order is greater than one. """ return self.force_bubble or (self.approx_order > 1) def _setup_global_base(self): """ Setup global DOF/base functions, their indices and connectivity of the field. Called methods implemented in subclasses. """ self._setup_facet_orientations() self._init_econn() self.n_vertex_dof, self.vertex_remap = self._setup_vertex_dofs() self.vertex_remap_i = invert_remap(self.vertex_remap) aux = self._setup_edge_dofs() self.n_edge_dof, self.edge_dofs, self.edge_remap = aux aux = self._setup_face_dofs() self.n_face_dof, self.face_dofs, self.face_remap = aux aux = self._setup_bubble_dofs() self.n_bubble_dof, self.bubble_dofs, self.bubble_remaps = aux self.n_nod = self.n_vertex_dof + self.n_edge_dof \ + self.n_face_dof + self.n_bubble_dof self._setup_esurface() def _setup_esurface(self): """ Setup extended surface entities (edges in 2D, faces in 3D), i.e. indices of surface entities into the extended connectivity. """ node_desc = self.node_desc for ig, ap in self.aps.iteritems(): gel = ap.interp.gel ap.efaces = gel.get_surface_entities().copy() nd = node_desc.edge if nd is not None: efs = [] for eof in gel.get_edges_per_face(): efs.append(nm.concatenate([nd[ie] for ie in eof])) efs = nm.array(efs).squeeze() if efs.ndim < 2: efs = efs[:,nm.newaxis] ap.efaces = nm.hstack((ap.efaces, efs)) efs = node_desc.face if efs is not None: efs = nm.array(efs).squeeze() if efs.ndim < 2: efs = efs[:,nm.newaxis] ap.efaces = nm.hstack((ap.efaces, efs)) def setup_coors(self, coors=None): """ Setup coordinates of field nodes. """ mesh = self.domain.mesh self.coors = nm.empty((self.n_nod, mesh.dim), nm.float64) if coors is None: coors = mesh.coors # Mesh vertex nodes. if self.n_vertex_dof: indx = self.vertex_remap_i self.coors[:self.n_vertex_dof] = nm.take(coors, indx.astype(nm.int32), axis=0) for ig, ap in self.aps.iteritems(): ap.eval_extra_coor(self.coors, coors) def get_vertices(self): """ Return indices of vertices belonging to the field region. """ return self.vertex_remap_i def _get_facet_dofs(self, get_facets, remap, dofs, ig): gfacets = get_facets(ig) facets = remap[gfacets] return dofs[facets[facets >= 0]].ravel() def get_data_shape(self, ig, integral, integration='volume', region_name=None): """ Get element data dimensions. Parameters ---------- ig : int The element group index. integral : Integral instance The integral describing used numerical quadrature. integration : 'volume', 'plate', 'surface', 'surface_extra' or 'point' The term integration type. region_name : str The name of surface region, required when `shape_kind` is 'surface'. Returns ------- data_shape : 4 ints The `(n_el, n_qp, dim, n_en)` for volume shape kind, `(n_fa, n_qp, dim, n_fn)` for surface shape kind and `(n_nod, 0, 0, 1)` for point shape kind. Notes ----- - `n_el`, `n_fa` = number of elements/facets - `n_qp` = number of quadrature points per element/facet - `dim` = spatial dimension - `n_en`, `n_fn` = number of element/facet nodes - `n_nod` = number of element nodes """ ap = self.aps[ig] region = self.domain.regions[region_name] shape = region.shape[ig] dim = region.dim if integration in ('surface', 'surface_extra'): sd = ap.surface_data[region_name] # This works also for surface fields. key = sd.face_type weights = ap.get_qp(key, integral).weights n_qp = weights.shape[0] if integration == 'surface': data_shape = (sd.n_fa, n_qp, dim, ap.n_ep[key]) else: data_shape = (sd.n_fa, n_qp, dim, ap.n_ep['v']) elif integration in ('volume', 'plate'): _, weights = integral.get_qp(self.gel.name) n_qp = weights.shape[0] data_shape = (shape.n_cell, n_qp, dim, ap.n_ep['v']) elif integration == 'point': dofs = self.get_dofs_in_region(region, merge=True) data_shape = (dofs.shape[0], 0, 0, 1) else: raise NotImplementedError('unsupported integration! (%s)' % integration) return data_shape def get_dofs_in_region_group(self, region, ig, merge=True): """ Return indices of DOFs that belong to the given region and group. """ node_desc = self.node_desc dofs = [] vdofs = nm.empty((0,), dtype=nm.int32) if node_desc.vertex is not None: ii = region.get_vertices(ig) vdofs = self.vertex_remap[ii] vdofs = vdofs[vdofs >= 0] dofs.append(vdofs) edofs = nm.empty((0,), dtype=nm.int32) if node_desc.edge is not None: edofs = self._get_facet_dofs(region.get_edges, self.edge_remap, self.edge_dofs, ig) dofs.append(edofs) fdofs = nm.empty((0,), dtype=nm.int32) if node_desc.face is not None: fdofs = self._get_facet_dofs(region.get_faces, self.face_remap, self.face_dofs, ig) dofs.append(fdofs) bdofs = nm.empty((0,), dtype=nm.int32) if (node_desc.bubble is not None) and region.has_cells(): ii = region.get_cells(ig) group_els = self.bubble_remaps[ig][ii] bdofs = self.bubble_dofs[ig][group_els[group_els >= 0]].ravel() dofs.append(bdofs) if merge: dofs = nm.concatenate(dofs) return dofs def extend_dofs(self, dofs, fill_value=None): """ Extend DOFs to the whole domain using the `fill_value`, or the smallest value in `dofs` if `fill_value` is None. """ if fill_value is None: if nm.isrealobj(dofs): fill_value = get_min_value(dofs) else: # Complex values - treat real and imaginary parts separately. fill_value = get_min_value(dofs.real) fill_value += 1j * get_min_value(dofs.imag) if self.approx_order != 0: indx = self.get_vertices() n_nod = self.domain.shape.n_nod new_dofs = nm.empty((n_nod, dofs.shape[1]), dtype=self.dtype) new_dofs.fill(fill_value) new_dofs[indx] = dofs[:indx.size] else: new_dofs = extend_cell_data(dofs, self.domain, self.region, val=fill_value) return new_dofs def remove_extra_dofs(self, dofs): """ Remove DOFs defined in higher order nodes (order > 1). """ if self.approx_order != 0: new_dofs = dofs[:self.n_vertex_dof] else: new_dofs = dofs return new_dofs def linearize(self, dofs, min_level=0, max_level=1, eps=1e-4): """ Linearize the solution for post-processing. Parameters ---------- dofs : array, shape (n_nod, n_component) The array of DOFs reshaped so that each column corresponds to one component. min_level : int The minimum required level of mesh refinement. max_level : int The maximum level of mesh refinement. eps : float The relative tolerance parameter of mesh adaptivity. Returns ------- mesh : Mesh instance The adapted, nonconforming, mesh. vdofs : array The DOFs defined in vertices of `mesh`. levels : array of ints The refinement level used for each element group. """ assert_(dofs.ndim == 2) n_nod, dpn = dofs.shape assert_(n_nod == self.n_nod) assert_(dpn == self.shape[0]) vertex_coors = self.coors[:self.n_vertex_dof, :] coors = [] vdofs = [] conns = [] mat_ids = [] levels = [] offset = 0 for ig, ap in self.aps.iteritems(): ps = ap.interp.poly_spaces['v'] gps = ap.interp.gel.interp.poly_spaces['v'] group = self.domain.groups[ig] vertex_conn = ap.econn[:, :group.shape.n_ep] eval_dofs = get_eval_dofs(dofs, ap.econn, ps, ori=ap.ori) eval_coors = get_eval_coors(vertex_coors, vertex_conn, gps) (level, _coors, conn, _vdofs, _mat_ids) = create_output(eval_dofs, eval_coors, group.shape.n_el, ps, min_level=min_level, max_level=max_level, eps=eps) _mat_ids[:] = self.domain.mesh.mat_ids[ig][0] coors.append(_coors) vdofs.append(_vdofs) conns.append(conn + offset) mat_ids.append(_mat_ids) levels.append(level) offset += _coors.shape[0] coors = nm.concatenate(coors, axis=0) vdofs = nm.concatenate(vdofs, axis=0) mesh = Mesh.from_data('linearized_mesh', coors, None, conns, mat_ids, self.domain.mesh.descs) return mesh, vdofs, levels def get_output_approx_order(self): """ Get the approximation order used in the output file. """ return min(self.approx_order, 1) def create_output(self, dofs, var_name, dof_names=None, key=None, extend=True, fill_value=None, linearization=None): """ Convert the DOFs corresponding to the field to a dictionary of output data usable by Mesh.write(). Parameters ---------- dofs : array, shape (n_nod, n_component) The array of DOFs reshaped so that each column corresponds to one component. var_name : str The variable name corresponding to `dofs`. dof_names : tuple of str The names of DOF components. key : str, optional The key to be used in the output dictionary instead of the variable name. extend : bool Extend the DOF values to cover the whole domain. fill_value : float or complex The value used to fill the missing DOF values if `extend` is True. linearization : Struct or None The linearization configuration for higher order approximations. Returns ------- out : dict The output dictionary. """ linearization = get_default(linearization, Struct(kind='strip')) out = {} if linearization.kind is None: out[key] = Struct(name='output_data', mode='full', data=dofs, var_name=var_name, dofs=dof_names, field_name=self.name) elif ((not self.is_higher_order()) or (linearization.kind == 'strip')): if extend: ext = self.extend_dofs(dofs, fill_value) else: ext = self.remove_extra_dofs(dofs) if ext is not None: approx_order = self.get_output_approx_order() if approx_order != 0: # Has vertex data. out[key] = Struct(name='output_data', mode='vertex', data=ext, var_name=var_name, dofs=dof_names) else: ext.shape = (ext.shape[0], 1, ext.shape[1], 1) out[key] = Struct(name='output_data', mode='cell', data=ext, var_name=var_name, dofs=dof_names) else: mesh, vdofs, levels = self.linearize(dofs, linearization.min_level, linearization.max_level, linearization.eps) out[key] = Struct(name='output_data', mode='vertex', data=vdofs, var_name=var_name, dofs=dof_names, mesh=mesh, levels=levels) out = convert_complex_output(out) return out def create_mesh(self, extra_nodes=True): """ Create a mesh from the field region, optionally including the field extra nodes. """ mesh = self.domain.mesh if self.approx_order != 0: conns, mat_ids, descs = [], [], [] for ig, ap in self.aps.iteritems(): group = self.domain.groups[ig] if extra_nodes: conn = ap.econn else: offset = group.shape.n_ep conn = ap.econn[:,:offset] conns.append(conn) mat_ids.append(mesh.mat_ids[ig]) descs.append(mesh.descs[ig]) if extra_nodes: coors = self.coors else: coors = self.coors[:self.n_vertex_dof] mesh = Mesh.from_data(self.name, coors, None, conns, mat_ids, descs) return mesh def interp_to_qp(self, dofs): """ Interpolate DOFs into quadrature points. The quadrature order is given by the field approximation order. Parameters ---------- dofs : array The array of DOF values of shape `(n_nod, n_component)`. Returns ------- data_qp : array The values interpolated into the quadrature points. integral : Integral The corresponding integral defining the quadrature points. """ integral = Integral('i', order=self.approx_order) data_qp = [] for ig, ap in self.aps.iteritems(): bf = ap.get_base('v', False, integral) bf = bf[:,0,:].copy() vals = nm.dot(bf, dofs[ap.econn]) vals = nm.swapaxes(vals, 0, 1) vals.shape = vals.shape + (1,) data_qp.append(vals) data_qp = nm.concatenate(data_qp, axis=0) return data_qp, integral def get_coor(self, nods=None): """ Get coordinates of the field nodes. Parameters ---------- nods : array, optional The indices of the required nodes. If not given, the coordinates of all the nodes are returned. """ if nods is None: return self.coors else: return self.coors[nods] def create_mapping(self, ig, region, integral, integration): """ Create a new reference mapping. """ ap = self.aps[ig] out = ap.describe_geometry(self, integration, region, integral, return_mapping=True) return out class VolumeField(FEField): """ Finite element field base class over volume elements (element dimension equals space dimension). """ def _check_region(self, region): """ Check whether the `region` can be used for the field. Non-surface fields require the region to span whole element groups. Returns ------- ok : bool True if the region is usable for the field. """ ok = True domain = region.domain for ig in region.igs: if domain.groups[ig].gel.dim != domain.shape.tdim: output('cells with a bad topological dimension! (%d == %d)' % (domain.groups[ig].gel.dim, domain.shape.tdim)) ok = False break shape = domain.groups[ig].shape if region.shape[ig].n_vertex < shape.n_vertex: output('region does not span a whole element group!') ok = False break return ok def _setup_geometry(self): """ Setup the field region geometry. """ ig = self.region.domain.cmesh.cell_groups[self.region.cells[0]] self.gel = self.domain.groups[ig].gel self.is_surface = False def _create_interpolant(self): name = '%s_%s_%s_%d%s' % (self.gel.name, self.space, self.poly_space_base, self.approx_order, 'B' * self.force_bubble) self.interp = fea.Interpolant(name, self.gel, self.space, self.poly_space_base, self.approx_order, self.force_bubble) def _setup_approximations(self): self.aps = {} self.aps_by_name = {} for ig in self.igs: name = self.interp.name + '_%s_ig%d' % (self.region.name, ig) ap = fea.Approximation(name, self.interp, self.region, ig) self.aps[ig] = ap self.aps_by_name[ap.name] = ap def _init_econn(self): """ Initialize the extended DOF connectivity. """ for ig, ap in self.aps.iteritems(): n_ep = ap.n_ep['v'] n_cell = self.region.get_n_cells(ig) ap.econn = nm.zeros((n_cell, n_ep), nm.int32) def _setup_vertex_dofs(self): """ Setup vertex DOF connectivity. """ if self.node_desc.vertex is None: return 0, None region = self.region vertices = region.get_vertices_of_cells() remap = prepare_remap(vertices, region.n_v_max) n_dof = vertices.shape[0] ## # Remap vertex node connectivity to field-local numbering. for ig, ap in self.aps.iteritems(): group = self.domain.groups[ig] offset = group.shape.n_ep cells = region.get_cells(ig) ap.econn[:,:offset] = nm.take(remap, nm.take(group.conn, cells.astype(nm.int32), axis=0)) return n_dof, remap def setup_extra_data(self, geometry, info, is_trace): dct = info.dc_type.type if geometry != None: geometry_flag = 'surface' in geometry else: geometry_flag = False if (dct == 'surface') or (geometry_flag): reg = info.get_region() self.domain.create_surface_group(reg) self._setup_surface_data(reg, is_trace) elif dct == 'edge': raise NotImplementedError('dof connectivity type %s' % dct) elif dct == 'point': self._setup_point_data(self, info.region) elif dct not in ('volume', 'scalar', 'plate'): raise ValueError('unknown dof connectivity type! (%s)' % dct) def _setup_surface_data(self, region, is_trace=False): for ig, ap in self.aps.iteritems(): if ig not in region.igs: continue if region.name not in ap.surface_data: ap.setup_surface_data(region) for ig, ap in self.aps.iteritems(): if region.name in ap.surface_data and is_trace: sd = ap.surface_data[region.name] sd.setup_mirror_connectivity(region) def _setup_point_data(self, field, region): # Point data only in the first group to avoid multiple # assembling of nodes on group boundaries. ap = self.aps[self.igs[0]] if region.name not in ap.point_data: ap.setup_point_data(field, region) def get_econn(self, conn_type, region, ig, is_trace=False, integration=None): """ Get extended connectivity of the given type in the given region. """ ct = conn_type.type if isinstance(conn_type, Struct) else conn_type if ((ig not in self.igs) or (ig not in region.igs) or (ct == 'point' and (ig > self.igs[0]))): # Point data only in the first group to avoid multiple # assembling of nodes on group boundaries. return None ap = self.aps[ig] if ct in ('volume', 'plate'): if region.name == self.region.name: conn = ap.econn else: aux = integration in ('volume', 'plate') cells = region.get_cells(ig, true_cells_only=aux) conn = nm.take(ap.econn, cells.astype(nm.int32), axis=0) elif ct == 'surface': sd = ap.surface_data[region.name] conn = sd.get_connectivity(is_trace=is_trace) elif ct == 'edge': raise NotImplementedError('connectivity type %s' % ct) elif ct == 'point': conn = ap.point_data[region.name] else: raise ValueError('unknown connectivity type! (%s)' % ct) return conn def average_qp_to_vertices(self, data_qp, integral): """ Average data given in quadrature points in region elements into region vertices. .. math:: u_n = \sum_e (u_{e,avg} * volume_e) / \sum_e volume_e = \sum_e \int_{volume_e} u / \sum volume_e """ region = self.region n_cells = region.get_n_cells() if n_cells != data_qp.shape[0]: msg = 'incomatible shape! (%d == %d)' % (n_cells, data_qp.shape[0]) raise ValueError(msg) n_vertex = self.n_vertex_dof nc = data_qp.shape[2] nod_vol = nm.zeros((n_vertex,), dtype=nm.float64) data_vertex = nm.zeros((n_vertex, nc), dtype=nm.float64) for ig, ap in self.aps.iteritems(): vg = ap.describe_geometry(self, 'volume', ap.region, integral) volume = nm.squeeze(vg.volume) iels = ap.region.get_cells(ig) data_e = nm.zeros((volume.shape[0], 1, nc, 1), dtype=nm.float64) vg.integrate(data_e, data_qp[iels]) ir = nm.arange(nc, dtype=nm.int32) conn = ap.econn[:, :self.gel.n_vertex] for ii, cc in enumerate(conn): # Assumes unique nodes in cc! ind2, ind1 = nm.meshgrid(ir, cc) data_vertex[ind1,ind2] += data_e[iels[ii],0,:,0] nod_vol[cc] += volume[ii] data_vertex /= nod_vol[:,nm.newaxis] return data_vertex class SurfaceField(FEField): """ Finite element field base class over surface (element dimension is one less than space dimension). """ def _check_region(self, region): """ Check whether the `region` can be used for the field. Returns ------- ok : bool True if the region is usable for the field. """ ok = True for ig in region.igs: n_cell = region.get_n_cells(ig, True) if n_cell == 0: ok = False break return ok def _setup_geometry(self): """ Setup the field region geometry. """ self.gel = self.domain.groups[self.region.igs[0]].gel.surface_facet if self.gel is None: raise ValueError('element group has no surface!') self.is_surface = True def _create_interpolant(self): name = '%s_%s_%s_%d%s' % (self.gel.name, self.space, self.poly_space_base, self.approx_order, 'B' * self.force_bubble) self.interp = fea.SurfaceInterpolant(name, self.gel, self.space, self.poly_space_base, self.approx_order, self.force_bubble) def _setup_approximations(self): self.aps = {} self.aps_by_name = {} for ig in self.igs: name = self.interp.name + '_%s_ig%d' % (self.region.name, ig) ap = fea.SurfaceApproximation(name, self.interp, self.region, ig) self.aps[ig] = ap self.aps_by_name[ap.name] = ap def setup_extra_data(self, geometry, info, is_trace): dct = info.dc_type.type if dct != 'surface': msg = "dof connectivity type must be 'surface'! (%s)" % dct raise ValueError(msg) reg = info.get_region() for ig, ap in self.aps.iteritems(): if ig not in reg.igs: continue if reg.name not in ap.surface_data: # Defined in setup_vertex_dofs() msg = 'no surface data of surface field! (%s)' % reg.name raise ValueError(msg) for ig, ap in self.aps.iteritems(): if reg.name in ap.surface_data and is_trace: sd = ap.surface_data[reg.name] sd.setup_mirror_connectivity(reg) def _init_econn(self): """ Initialize the extended DOF connectivity. """ for ig, ap in self.aps.iteritems(): n_ep = ap.n_ep['v'] n_cell = self.region.get_n_cells(ig, True) ap.econn = nm.zeros((n_cell, n_ep), nm.int32) def _setup_vertex_dofs(self): """ Setup vertex DOF connectivity. """ if self.node_desc.vertex is None: return 0, None region = self.region remap = prepare_remap(region.vertices, region.n_v_max) n_dof = region.vertices.shape[0] ## # Remap vertex node connectivity to field-local numbering. for ig, ap in self.aps.iteritems(): group = self.domain.groups[ig] faces = group.gel.get_surface_entities() aux = FESurface('aux', region, faces, group.conn, ig) ap.econn[:,:aux.n_fp] = aux.leconn ap.surface_data[region.name] = aux return n_dof, remap def _setup_bubble_dofs(self): """ Setup bubble DOF connectivity. """ return 0, None, None def get_econn(self, conn_type, region, ig, is_trace=False, integration=None): """ Get extended connectivity of the given type in the given region. """ ct = conn_type.type if isinstance(conn_type, Struct) else conn_type if ct != 'surface': msg = 'connectivity type must be "surface"! (%s)' % ct raise ValueError(msg) ap = self.aps[ig] sd = ap.surface_data[region.name] conn = sd.get_connectivity(local=True, is_trace=is_trace) return conn def average_qp_to_vertices(self, data_qp, integral): """ Average data given in quadrature points in region elements into region vertices. .. math:: u_n = \sum_e (u_{e,avg} * area_e) / \sum_e area_e = \sum_e \int_{area_e} u / \sum area_e """ region = self.region n_cells = region.get_n_cells(None, True) if n_cells != data_qp.shape[0]: msg = 'incomatible shape! (%d == %d)' % (n_cells, data_qp.shape[0]) raise ValueError(msg) n_vertex = len(region.vertices) nc = data_qp.shape[2] nod_vol = nm.zeros((n_vertex,), dtype=nm.float64) data_vertex = nm.zeros((n_vertex, nc), dtype=nm.float64) offset = 0 for ig, ap in self.aps.iteritems(): sg = ap.describe_geometry(self, 'surface', ap.region, integral) area = nm.squeeze(sg.volume) n_cells = region.get_n_cells(ig, True) iels = offset + nm.arange(n_cells, dtype=nm.int32) offset += n_cells data_e = nm.zeros((area.shape[0], 1, nc, 1), dtype=nm.float64) sg.integrate(data_e, data_qp[iels]) ir = nm.arange(nc, dtype=nm.int32) sd = self.domain.surface_groups[ig][region.name] # Should be vertex connectivity! conn = sd.get_connectivity(local=True) for ii, cc in enumerate(conn): # Assumes unique nodes in cc! ind2, ind1 = nm.meshgrid(ir, cc) data_vertex[ind1,ind2] += data_e[iels[ii],0,:,0] nod_vol[cc] += area[ii] data_vertex /= nod_vol[:,nm.newaxis] return data_vertex class H1Mixin(Struct): """ Methods of fields specific to H1 space. """ def _setup_shape(self): """ Setup the field's shape-related attributes, see :class:`Field`. """ self.n_components = nm.prod(self.shape) self.val_shape = self.shape sfepy-release_2015.1/sfepy/discrete/fem/fields_hierarchic.py000066400000000000000000000255101247364230400241400ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.discrete.fem.utils import prepare_remap, prepare_translate from sfepy.discrete.common.dof_info import expand_nodes_to_dofs from sfepy.discrete.fem.fields_base import VolumeField, H1Mixin class H1HierarchicVolumeField(H1Mixin, VolumeField): family_name = 'volume_H1_lobatto' def _init_econn(self): """ Initialize the extended DOF connectivity and facet orientation array. """ VolumeField._init_econn(self) for ig, ap in self.aps.iteritems(): ap.ori = nm.zeros_like(ap.econn) def _setup_facet_orientations(self): self.node_desc = self.interp.describe_nodes() def _setup_edge_dofs(self): """ Setup edge DOF connectivity. """ if self.node_desc.edge is None: return 0, None, None return self._setup_facet_dofs(1, self.node_desc.edge, self.region.get_edges, self.n_vertex_dof) def _setup_face_dofs(self): """ Setup face DOF connectivity. """ if self.node_desc.face is None: return 0, None, None return self._setup_facet_dofs(self.domain.shape.tdim - 1, self.node_desc.face, self.region.get_faces, self.n_vertex_dof + self.n_edge_dof) def _setup_facet_dofs(self, dim, facet_desc, get_facets, offset): """ Helper function to setup facet DOF connectivity, works for both edges and faces. """ facet_desc = nm.array(facet_desc) n_dof_per_facet = facet_desc.shape[1] cmesh = self.domain.cmesh facets = self.region.entities[dim] ii = nm.arange(facets.shape[0], dtype=nm.int32) all_dofs = offset + expand_nodes_to_dofs(ii, n_dof_per_facet) # Prepare global facet id remapping to field-local numbering. remap = prepare_remap(facets, cmesh.num[dim]) cconn = self.region.domain.cmesh.get_conn(self.region.tdim, dim) offs = cconn.offsets n_f = self.gel.edges.shape[0] if dim == 1 else self.gel.faces.shape[0] n_fp = 2 if dim == 1 else self.gel.surface_facet.n_vertex oris = cmesh.get_orientations(dim) for ig, ap in self.aps.iteritems(): gcells = self.region.get_cells(ig, offset=False) n_el = gcells.shape[0] indices = cconn.indices[offs[gcells[0]]:offs[gcells[-1]+1]] facets_of_cells = remap[indices] # Define global facet dof numbers. gdofs = offset + expand_nodes_to_dofs(facets_of_cells, n_dof_per_facet) # Elements of facets. iel = nm.arange(n_el, dtype=nm.int32).repeat(n_f) ies = nm.tile(nm.arange(n_f, dtype=nm.int32), n_el) # DOF columns in econn for each facet (repeating same values for # each element. iep = facet_desc[ies] ap.econn[iel[:, None], iep] = gdofs ori = oris[offs[gcells[0]]:offs[gcells[-1]+1]] if (n_fp == 2) and (ap.interp.gel.name in ['2_4', '3_8']): tp_edges = ap.interp.gel.edges ecs = ap.interp.gel.coors[tp_edges] # True = positive, False = negative edge orientation w.r.t. # reference tensor product axes. tp_edge_ori = (nm.diff(ecs, axis=1).sum(axis=2) > 0).squeeze() aux = nm.tile(tp_edge_ori, n_el) ori = nm.where(aux, ori, 1 - ori) if n_fp == 2: # Edges. # ori == 1 means the basis has to be multiplied by -1. ps = ap.interp.poly_spaces['v'] orders = ps.node_orders eori = nm.repeat(ori[:, None], n_dof_per_facet, 1) eoo = orders[iep] % 2 # Odd orders. ap.ori[iel[:, None], iep] = eori * eoo elif n_fp == 3: # Triangular faces. raise NotImplementedError else: # Quadrilateral faces. # ori encoding in 3 bits: # 0: axis swap, 1: axis 1 sign, 2: axis 2 sign # 0 = + or False, 1 = - or True # 63 -> 000 = 0 # 0 -> 001 = 1 # 30 -> 010 = 2 # 33 -> 011 = 3 # 11 -> 100 = 4 # 7 -> 101 = 5 # 52 -> 110 = 6 # 56 -> 111 = 7 # Special cases: # Both orders same and even -> 000 # Both orders same and odd -> 0?? # Bits 1, 2 are multiplied by (swapped) axial order % 2. new = nm.repeat(nm.arange(8, dtype=nm.int32), 3) translate = prepare_translate([31, 59, 63, 0, 1, 4, 22, 30, 62, 32, 33, 41, 11, 15, 43, 3, 6, 7, 20, 52, 60, 48, 56, 57], new) ori = translate[ori] eori = nm.repeat(ori[:, None], n_dof_per_facet, 1) ps = ap.interp.poly_spaces['v'] orders = ps.face_axes_nodes[iep - ps.face_indx[0]] eoo = orders % 2 eoo0, eoo1 = eoo[..., 0], eoo[..., 1] i0 = nm.where(eori < 4) i1 = nm.where(eori >= 4) eori[i0] = nm.bitwise_and(eori[i0], 2*eoo0[i0] + 5) eori[i0] = nm.bitwise_and(eori[i0], eoo1[i0] + 6) eori[i1] = nm.bitwise_and(eori[i1], eoo0[i1] + 6) eori[i1] = nm.bitwise_and(eori[i1], 2*eoo1[i1] + 5) ap.ori[iel[:, None], iep] = eori n_dof = n_dof_per_facet * facets.shape[0] assert_(n_dof == nm.prod(all_dofs.shape)) return n_dof, all_dofs, remap def _setup_bubble_dofs(self): """ Setup bubble DOF connectivity. """ if self.node_desc.bubble is None: return 0, None, None offset = self.n_vertex_dof + self.n_edge_dof + self.n_face_dof n_dof = 0 n_dof_per_cell = self.node_desc.bubble.shape[0] all_dofs = {} remaps = {} for ig, ap in self.aps.iteritems(): ii = self.region.get_cells(ig) n_cell = ii.shape[0] nd = n_dof_per_cell * n_cell group = self.domain.groups[ig] remaps[ig] = prepare_remap(ii, group.shape.n_el) aux = nm.arange(offset + n_dof, offset + n_dof + nd, dtype=nm.int32) aux.shape = (n_cell, n_dof_per_cell) iep = self.node_desc.bubble[0] ap.econn[:,iep:] = aux all_dofs[ig] = aux n_dof += nd return n_dof, all_dofs, remaps def set_dofs(self, fun=0.0, region=None, dpn=None, warn=None): """ Set the values of given DOFs using a function of space coordinates or value `fun`. """ if region is None: region = self.region if dpn is None: dpn = self.n_components nods = [] vals = [] for ig in self.igs: if nm.isscalar(fun): # Hack - use only vertex DOFs. gnods = self.get_dofs_in_region_group(region, ig, merge=False) n_dof = dpn * sum([nn.shape[0] for nn in gnods]) gvals = nm.zeros(n_dof, dtype=nm.dtype(type(fun))) gvals[:gnods[0].shape[0] * dpn] = fun nods.append(nm.concatenate(gnods)) vals.append(gvals) elif callable(fun): # Hack - use only vertex DOFs. gnods = self.get_dofs_in_region_group(region, ig, merge=False) n_dof = dpn * sum([nn.shape[0] for nn in gnods]) vv = fun(self.get_coor(gnods[0])) gvals = nm.zeros(n_dof, dtype=vv.dtype) gvals[:gnods[0].shape[0] * dpn] = vv nods.append(nm.concatenate(gnods)) vals.append(gvals) else: raise NotImplementedError nods, indx = nm.unique(nm.concatenate(nods), return_index=True) ii = (nm.tile(dpn * indx, dpn) + nm.tile(nm.arange(dpn, dtype=nm.int32), indx.shape[0])) vals = nm.concatenate(vals)[ii] return nods, vals def evaluate_at(self, coors, source_vals, strategy='kdtree', close_limit=0.1, cache=None, ret_cells=False, ret_status=False, ret_ref_coors=False, verbose=True): """ Evaluate source DOF values corresponding to the field in the given coordinates using the field interpolation. Parameters ---------- coors : array The coordinates the source values should be interpolated into. source_vals : array The source DOF values corresponding to the field. strategy : str, optional The strategy for finding the elements that contain the coordinates. Only 'kdtree' is supported for the moment. close_limit : float, optional The maximum limit distance of a point from the closest element allowed for extrapolation. cache : Struct, optional To speed up a sequence of evaluations, the field mesh, the inverse connectivity of the field mesh and the KDTree instance can be cached as `cache.mesh`, `cache.offsets`, `cache.iconn` and `cache.kdtree`. Optionally, the cache can also contain the reference element coordinates as `cache.ref_coors`, `cache.cells` and `cache.status`, if the evaluation occurs in the same coordinates repeatedly. In that case the KDTree related data are ignored. ret_cells : bool, optional If True, return also the cell indices the coordinates are in. ret_status : bool, optional If True, return also the status for each point: 0 is success, 1 is extrapolation within `close_limit`, 2 is extrapolation outside `close_limit`, 3 is failure. ret_ref_coors : bool, optional If True, return also the found reference element coordinates. verbose : bool If False, reduce verbosity. Returns ------- vals : array The interpolated values. cells : array The cell indices, if `ret_cells` or `ret_status` are True. status : array The status, if `ret_status` is True. """ raise NotImplementedError sfepy-release_2015.1/sfepy/discrete/fem/fields_nodal.py000066400000000000000000000331221247364230400231320ustar00rootroot00000000000000""" Notes ----- Important attributes of continuous (order > 0) :class:`Field` and :class:`SurfaceField` instances: - `vertex_remap` : `econn[:, :n_vertex] = vertex_remap[conn]` - `vertex_remap_i` : `conn = vertex_remap_i[econn[:, :n_vertex]]` where `conn` is the mesh vertex connectivity, `econn` is the region-local field connectivity. """ import time import numpy as nm from sfepy.base.base import output, assert_ import fea from sfepy.discrete.fem.utils import prepare_remap from sfepy.discrete.common.dof_info import expand_nodes_to_dofs from sfepy.discrete.fem.global_interp import get_ref_coors from sfepy.discrete.fem.facets import get_facet_dof_permutations from sfepy.discrete.fem.fields_base import (FEField, VolumeField, SurfaceField, H1Mixin) from sfepy.discrete.fem.extmods.bases import evaluate_in_rc class H1NodalMixin(H1Mixin): def _setup_facet_orientations(self): order = self.approx_order self.node_desc = self.interp.describe_nodes() edge_nodes = self.node_desc.edge_nodes if edge_nodes is not None: n_fp = self.gel.edges.shape[1] self.edge_dof_perms = get_facet_dof_permutations(n_fp, self.igs, order) face_nodes = self.node_desc.face_nodes if face_nodes is not None: n_fp = self.gel.faces.shape[1] self.face_dof_perms = get_facet_dof_permutations(n_fp, self.igs, order) def _setup_edge_dofs(self): """ Setup edge DOF connectivity. """ if self.node_desc.edge is None: return 0, None, None return self._setup_facet_dofs(1, self.node_desc.edge, self.edge_dof_perms, self.n_vertex_dof) def _setup_face_dofs(self): """ Setup face DOF connectivity. """ if self.node_desc.face is None: return 0, None, None return self._setup_facet_dofs(self.domain.shape.tdim - 1, self.node_desc.face, self.face_dof_perms, self.n_vertex_dof + self.n_edge_dof) def _setup_facet_dofs(self, dim, facet_desc, facet_perms, offset): """ Helper function to setup facet DOF connectivity, works for both edges and faces. """ facet_desc = nm.array(facet_desc) n_dof_per_facet = facet_desc.shape[1] cmesh = self.domain.cmesh facets = self.region.entities[dim] ii = nm.arange(facets.shape[0], dtype=nm.int32) all_dofs = offset + expand_nodes_to_dofs(ii, n_dof_per_facet) # Prepare global facet id remapping to field-local numbering. remap = prepare_remap(facets, cmesh.num[dim]) cconn = self.region.domain.cmesh.get_conn(self.region.tdim, dim) offs = cconn.offsets n_f = self.gel.edges.shape[0] if dim == 1 else self.gel.faces.shape[0] oris = cmesh.get_orientations(dim) for ig, ap in self.aps.iteritems(): gcells = self.region.get_cells(ig, offset=False) n_el = gcells.shape[0] indices = cconn.indices[offs[gcells[0]]:offs[gcells[-1]+1]] facets_of_cells = remap[indices] ori = oris[offs[gcells[0]]:offs[gcells[-1]+1]] perms = facet_perms[ig][ori] # Define global facet dof numbers. gdofs = offset + expand_nodes_to_dofs(facets_of_cells, n_dof_per_facet) # Elements of facets. iel = nm.arange(n_el, dtype=nm.int32).repeat(n_f) ies = nm.tile(nm.arange(n_f, dtype=nm.int32), n_el) # DOF columns in econn for each facet. iep = facet_desc[ies] iaux = nm.arange(gdofs.shape[0], dtype=nm.int32) ap.econn[iel[:, None], iep] = gdofs[iaux[:, None], perms] n_dof = n_dof_per_facet * facets.shape[0] assert_(n_dof == nm.prod(all_dofs.shape)) return n_dof, all_dofs, remap def _setup_bubble_dofs(self): """ Setup bubble DOF connectivity. """ if self.node_desc.bubble is None: return 0, None, None offset = self.n_vertex_dof + self.n_edge_dof + self.n_face_dof n_dof = 0 n_dof_per_cell = self.node_desc.bubble.shape[0] all_dofs = {} remaps = {} for ig, ap in self.aps.iteritems(): ii = self.region.get_cells(ig) n_cell = ii.shape[0] nd = n_dof_per_cell * n_cell group = self.domain.groups[ig] remaps[ig] = prepare_remap(ii, group.shape.n_el) aux = nm.arange(offset + n_dof, offset + n_dof + nd, dtype=nm.int32) aux.shape = (n_cell, n_dof_per_cell) iep = self.node_desc.bubble[0] ap.econn[:,iep:] = aux all_dofs[ig] = aux n_dof += nd return n_dof, all_dofs, remaps def set_dofs(self, fun=0.0, region=None, dpn=None, warn=None): """ Set the values of DOFs in a given region using a function of space coordinates or value `fun`. """ if region is None: region = self.region if dpn is None: dpn = self.n_components aux = self.get_dofs_in_region(region, clean=True, warn=warn) nods = nm.unique(nm.hstack(aux)) if callable(fun): vals = fun(self.get_coor(nods)) elif nm.isscalar(fun): vals = nm.repeat([fun], nods.shape[0] * dpn) elif isinstance(fun, nm.ndarray): assert_(len(fun) == dpn) vals = nm.repeat(fun, nods.shape[0]) else: raise ValueError('unknown function/value type! (%s)' % type(fun)) return nods, vals def evaluate_at(self, coors, source_vals, strategy='kdtree', close_limit=0.1, cache=None, ret_cells=False, ret_status=False, ret_ref_coors=False, verbose=True): """ Evaluate source DOF values corresponding to the field in the given coordinates using the field interpolation. Parameters ---------- coors : array The coordinates the source values should be interpolated into. source_vals : array The source DOF values corresponding to the field. strategy : str, optional The strategy for finding the elements that contain the coordinates. Only 'kdtree' is supported for the moment. close_limit : float, optional The maximum limit distance of a point from the closest element allowed for extrapolation. cache : Struct, optional To speed up a sequence of evaluations, the field mesh, the inverse connectivity of the field mesh and the KDTree instance can be cached as `cache.mesh`, `cache.offsets`, `cache.iconn` and `cache.kdtree`. Optionally, the cache can also contain the reference element coordinates as `cache.ref_coors`, `cache.cells` and `cache.status`, if the evaluation occurs in the same coordinates repeatedly. In that case the KDTree related data are ignored. ret_cells : bool, optional If True, return also the cell indices the coordinates are in. ret_status : bool, optional If True, return also the status for each point: 0 is success, 1 is extrapolation within `close_limit`, 2 is extrapolation outside `close_limit`, 3 is failure. ret_ref_coors : bool, optional If True, return also the found reference element coordinates. verbose : bool If False, reduce verbosity. Returns ------- vals : array The interpolated values. cells : array The cell indices, if `ret_cells` or `ret_status` are True. status : array The status, if `ret_status` is True. """ output('evaluating in %d points...' % coors.shape[0], verbose=verbose) ref_coors, cells, status = get_ref_coors(self, coors, strategy=strategy, close_limit=close_limit, cache=cache, verbose=verbose) tt = time.clock() vertex_coorss, nodess, orders, mtx_is = [], [], [], [] conns = [] for ap in self.aps.itervalues(): ps = ap.interp.poly_spaces['v'] vertex_coorss.append(ps.geometry.coors) nodess.append(ps.nodes) mtx_is.append(ps.get_mtx_i()) orders.append(ps.order) conns.append(ap.econn) orders = nm.array(orders, dtype=nm.int32) # Interpolate to the reference coordinates. vals = nm.empty((coors.shape[0], source_vals.shape[1]), dtype=source_vals.dtype) evaluate_in_rc(vals, ref_coors, cells, status, source_vals, conns, vertex_coorss, nodess, orders, mtx_is, 1e-15) output('interpolation: %f s' % (time.clock()-tt),verbose=verbose) output('...done',verbose=verbose) if ret_ref_coors: return vals, ref_coors, cells, status elif ret_status: return vals, cells, status elif ret_cells: return vals, cells else: return vals class H1NodalVolumeField(H1NodalMixin, VolumeField): family_name = 'volume_H1_lagrange' def interp_v_vals_to_n_vals(self, vec): """ Interpolate a function defined by vertex DOF values using the FE geometry base (P1 or Q1) into the extra nodes, i.e. define the extra DOF values. """ if not self.node_desc.has_extra_nodes(): enod_vol_val = vec.copy() else: dim = vec.shape[1] enod_vol_val = nm.zeros((self.n_nod, dim), dtype=nm.float64) for ig, ap in self.aps.iteritems(): group = self.domain.groups[ig] econn = ap.econn coors = ap.interp.poly_spaces['v'].node_coors ginterp = ap.interp.gel.interp bf = ginterp.poly_spaces['v'].eval_base(coors) bf = bf[:,0,:].copy() evec = nm.dot(bf, vec[group.conn]) enod_vol_val[econn] = nm.swapaxes(evec, 0, 1) return enod_vol_val class H1DiscontinuousField(H1NodalMixin, VolumeField): family_name = 'volume_H1_lagrange_discontinuous' def _setup_approximations(self): self.aps = {} self.aps_by_name = {} for ig in self.igs: name = self.interp.name + '_%s_ig%d' % (self.region.name, ig) ap = fea.DiscontinuousApproximation(name, self.interp, self.region, ig) self.aps[ig] = ap self.aps_by_name[ap.name] = ap def _setup_global_base( self ): """ Setup global DOF/base function indices and connectivity of the field. """ self._setup_facet_orientations() self._init_econn() n_dof = 0 all_dofs = {} remaps = {} for ig, ap in self.aps.iteritems(): ii = self.region.get_cells(ig) nd = nm.prod(ap.econn.shape) group = self.domain.groups[ig] remaps[ig] = prepare_remap(ii, group.shape.n_el) aux = nm.arange(n_dof, n_dof + nd, dtype=nm.int32) aux.shape = ap.econn.shape ap.econn[:] = aux all_dofs[ig] = aux n_dof += nd self.n_nod = n_dof self.n_bubble_dof = n_dof self.bubble_dofs = all_dofs self.bubble_remaps = remaps self.n_vertex_dof = self.n_edge_dof = self.n_face_dof = 0 self._setup_esurface() def extend_dofs(self, dofs, fill_value=None): """ Extend DOFs to the whole domain using the `fill_value`, or the smallest value in `dofs` if `fill_value` is None. """ if self.approx_order != 0: dofs = self.average_to_vertices(dofs) new_dofs = FEField.extend_dofs(self, dofs) return new_dofs def remove_extra_dofs(self, dofs): """ Remove DOFs defined in higher order nodes (order > 1). """ if self.approx_order != 0: dofs = self.average_to_vertices(dofs) new_dofs = FEField.remove_extra_dofs(self, dofs) return new_dofs def average_to_vertices(self, dofs): """ Average DOFs of the discontinuous field into the field region vertices. """ data_qp, integral = self.interp_to_qp(dofs) vertex_dofs = self.average_qp_to_vertices(data_qp, integral) return vertex_dofs class H1NodalSurfaceField(H1NodalMixin, SurfaceField): """ A field defined on a surface region. """ family_name = 'surface_H1_lagrange' def interp_v_vals_to_n_vals(self, vec): """ Interpolate a function defined by vertex DOF values using the FE surface geometry base (P1 or Q1) into the extra nodes, i.e. define the extra DOF values. """ if not self.node_desc.has_extra_nodes(): enod_vol_val = vec.copy() else: msg = 'surface nodal fields do not support higher order nodes yet!' raise NotImplementedError(msg) return enod_vol_val sfepy-release_2015.1/sfepy/discrete/fem/geometry_element.py000066400000000000000000000263531247364230400240630ustar00rootroot00000000000000""" GeometryElement describes the geometric entities of a finite element mesh. Notes ----- * geometry_data: surface facets are assumed to be of the same kind for each geometry element - wedges or pyramides are not supported. * the orientation is a tuple: (root1, vertices of direction vectors, swap from, swap to, root2, ...) """ import numpy as nm from sfepy.base.base import assert_, Struct def _get_grid_1_2(n_nod): return nm.linspace(0.0, 1.0, n_nod) def _get_grid_2_3(n_nod): from sfepy.mechanics.tensors import sym2dim n1d = sym2dim(n_nod) ii = nm.linspace(0.0, 1.0, n1d) coors = [] for iy in xrange(n1d): for ix in xrange(n1d - iy): coors.append([ii[ix], ii[iy]]) coors = nm.array(coors, dtype=nm.float64) return coors def _get_grid_2_4(n_nod): n1d = int(nm.round(nm.sqrt(n_nod))) assert_((n1d**2) == n_nod) ii = nm.linspace(0.0, 1.0, n1d) ix, iy = nm.mgrid[:n1d, :n1d] coors = nm.c_[ii[ix].flat, ii[iy].flat] return nm.ascontiguousarray(coors) def _get_grid_3_4(n_nod): sqrt = nm.sqrt pow = nm.power root = (-(-1.0/2.0 + sqrt(3)*1j/2) *pow(-3*n_nod + sqrt(9*pow(n_nod, 2) - 1.0/27.0) + 0j, 1.0/3.0) - 2 - 1/(3*(-1.0/2.0 + sqrt(3)*1j/2) *pow(-3*n_nod + sqrt(9*pow(n_nod, 2) - 1.0/27.0)+0j, 1.0/3.0))) n1d = int(nm.round(root.real)) + 1 assert_(((n1d + 2) * (n1d + 1) * (n1d + 0) / 6.) == n_nod) ii = nm.linspace(0.0, 1.0, n1d) coors = [] for iz in xrange(n1d): for iy in xrange(n1d - iz): for ix in xrange(n1d - iy - iz): coors.append([ii[ix], ii[iy], ii[iz]]) coors = nm.array(coors, dtype=nm.float64) return coors def _get_grid_3_8(n_nod): n1d = int(nm.round(n_nod**(1.0 / 3.0))) assert_((n1d**3) == n_nod) ii = nm.linspace(0.0, 1.0, n1d) ix, iy, iz = nm.mgrid[:n1d, :n1d, :n1d] coors = nm.c_[ii[ix].flat, ii[iy].flat, ii[iz].flat] return nm.ascontiguousarray(coors) geometry_data = { '1_2' : Struct(coors = [[0.0], [1.0]], conn = [0, 1], faces = None, edges = None, volume = 1.0, orientation = (0, (1,), 0, 1), get_grid = _get_grid_1_2, surface_facet_name = None), '2_3' : Struct(coors = [[0.0, 0.0], [1.0, 0.0], [0.0, 1.0]], conn = [0, 1, 2], faces = None, edges = [[0, 1], [1, 2], [2, 0]], volume = 0.5, orientation = (0, (1, 2), 1, 2), get_grid = _get_grid_2_3, surface_facet_name = '1_2'), '2_4' : Struct(coors = [[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0]], conn = [0, 1, 2, 3], faces = None, edges = [[0, 1], [1, 2], [2, 3], [3, 0]], volume = 1.0, # Not finished... orientation = (0, (1, 3), (0, 1), (3, 2)), get_grid = _get_grid_2_4, surface_facet_name = '1_2'), '3_4' : Struct(coors = [[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0]], conn = [0, 1, 2, 3], faces = [[0, 2, 1], [0, 3, 2], [0, 1, 3], [1, 2, 3]], edges = [[0, 1], [1, 2], [2, 0], [0, 3], [1, 3], [2, 3]], volume = 1.0 / 6.0, orientation = (0, (1, 2, 3), 0, 3), get_grid = _get_grid_3_4, surface_facet_name = '2_3'), '3_8' : Struct(coors = [[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], conn = [0, 1, 2, 3, 4, 5, 6, 7], faces = [[0, 3, 2, 1], [0, 4, 7, 3], [0, 1, 5, 4], [4, 5, 6, 7], [1, 2, 6, 5], [3, 7, 6, 2]], edges = [[0, 1], [1, 2], [2, 3], [3, 0], [4, 5], [5, 6], [6, 7], [7, 4], [0, 4], [1, 5], [2, 6], [3, 7]], volume = 1.0, # Not finished... orientation = (0, (1, 3, 4), (0, 1, 2, 3), (4, 5, 6, 7) ), get_grid = _get_grid_3_8, surface_facet_name = '2_4'), } def setup_orientation(vecs_tuple): cycle = range(len(vecs_tuple) / 4) roots = nm.array([vecs_tuple[4*ii] for ii in cycle], dtype=nm.int32) vecs = nm.array([vecs_tuple[4*ii+1] for ii in cycle], dtype=nm.int32, ndmin=2) swap_from = nm.array([vecs_tuple[4*ii+2] for ii in cycle], dtype=nm.int32, ndmin=2) swap_to = nm.array([vecs_tuple[4*ii+3] for ii in cycle], dtype=nm.int32, ndmin=2) return roots, vecs, swap_from, swap_to def create_geometry_elements(names=None): """ Utility function to create GeometryElement instances. Parameters ---------- names : str, optional The names of the entity, one of the keys in geometry_data dictionary. If None, all keys of geometry_data are used. Returns ------- gels : dict The dictionary of geometry elements with names as keys. """ if names is None: names = geometry_data.keys() gels = {} for name in names: gel = GeometryElement(name) gels[name] = gel return gels class GeometryElement(Struct): """ The geometric entities of a finite element mesh. """ def __init__(self, name): """ Parameters ---------- name : str The name of the entity, one of the keys in geometry_data dictionary. """ self.name = name gd = geometry_data[name] self.coors = nm.array(gd.coors, dtype=nm.float64) self.conn = nm.array(gd.conn, dtype=nm.int32) self.n_vertex, self.dim = self.coors.shape self.is_simplex = self.n_vertex == (self.dim + 1) self.vertices = nm.arange(self.n_vertex, dtype=nm.int32) if gd.edges is not None: self.edges = nm.array(gd.edges, dtype=nm.int32) self.n_edge = self.edges.shape[0] else: self.edges = gd.edges self.n_edge = 0 if gd.faces is not None: self.faces = nm.array(gd.faces, dtype=nm.int32) self.n_face = self.faces.shape[0] else: self.faces = gd.faces self.n_face = 0 if gd.orientation is not None: aux = setup_orientation(gd.orientation) self.orientation = Struct(name='orientation', roots=aux[0], vecs=aux[1], swap_from=aux[2], swap_to=aux[3]) else: self.orientation = None self.surface_facet_name = gd.surface_facet_name self.surface_facet = None def get_interpolation_name(self): """ Get the name of corresponding linear interpolant. """ if self.is_simplex: suffix = '_P1' else: suffix = '_Q1' return self.name + suffix def get_surface_entities(self): """ Return self.vertices in 1D, self.edges in 2D and self.faces in 3D. """ if self.dim == 1: return self.vertices elif self.dim == 2: return self.edges else: assert_(self.dim == 3) return self.faces def get_edges_per_face(self): """ Return the indices into self.edges per face. """ if self.dim == 3: # Assign edges to a face (in order). indx = {3: [[0, 1], [1, 2], [2, 0]], 4: [[0, 1], [1, 2], [2, 3], [3, 0]]} epf = [] se = [set(edge) for edge in self.edges] iis = indx[self.surface_facet.n_vertex] for face in self.faces: aux = [] for ii in iis: edge = set(face[ii]) ie = se.index(edge) aux.append(ie) epf.append(aux) else: epf = nm.arange(self.edges.shape[0])[:,nm.newaxis] return nm.array(epf, dtype=nm.int32) def get_conn_permutations(self): """ Get all possible connectivity permutations corresponding to different spatial orientations of the geometry element. """ if self.dim < 3: perms = [nm.roll(self.conn, -ii) for ii in range(self.n_vertex)] perms = nm.vstack(perms) else: _perms3d = { '3_4' : [[0, 1, 2, 3], [1, 2, 0, 3], [2, 0, 1, 3], [1, 3, 2, 0], [3, 0, 2, 1], [3, 1, 0, 2], [2, 1, 3, 0], [0, 2, 3, 1], [0, 3, 1, 2]], '3_8' : [[0, 1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 0, 5, 6, 7, 4], [2, 3, 0, 1, 6, 7, 4, 5], [3, 0, 1, 2, 7, 4, 5, 6], [3, 2, 6, 7, 0, 1, 5, 4], [7, 6, 5, 4, 3, 2, 1, 0], [4, 5, 1, 0, 7, 6, 2, 3], [1, 5, 6, 2, 0, 4, 7, 3], [5, 4, 7, 6, 1, 0, 3, 2], [4, 0, 3, 7, 5, 1, 2, 6]], } perms = nm.array(_perms3d[self.name], dtype=nm.int32) return perms def get_grid(self, n_nod): """ Get a grid of `n_nod` interpolation points, including the geometry element vertices. The number of points must correspond to a valid number of FE nodes for each geometry. """ gd = geometry_data[self.name] return gd.get_grid(n_nod) def create_surface_facet(self): """ Create a GeometryElement instance corresponding to this instance surface facet. """ self.surface_facet = GeometryElement(self.surface_facet_name) sfepy-release_2015.1/sfepy/discrete/fem/global_interp.py000066400000000000000000000110071247364230400233260ustar00rootroot00000000000000""" Global interpolation functions. """ import time import numpy as nm from sfepy.base.base import output, get_default_attr from sfepy.discrete.fem.mesh import make_inverse_connectivity from sfepy.discrete.fem.extmods.bases import find_ref_coors def get_ref_coors(field, coors, strategy='kdtree', close_limit=0.1, cache=None, verbose=True): """ Get reference element coordinates and elements corresponding to given physical coordinates. Parameters ---------- field : Field instance The field defining the approximation. coors : array The physical coordinates. strategy : str, optional The strategy for finding the elements that contain the coordinates. Only 'kdtree' is supported for the moment. close_limit : float, optional The maximum limit distance of a point from the closest element allowed for extrapolation. cache : Struct, optional To speed up a sequence of evaluations, the field mesh, the inverse connectivity of the field mesh and the KDTree instance can be cached as `cache.mesh`, `cache.offsets`, `cache.iconn` and `cache.kdtree`. Optionally, the cache can also contain the reference element coordinates as `cache.ref_coors`, `cache.cells` and `cache.status`, if the evaluation occurs in the same coordinates repeatedly. In that case the KDTree related data are ignored. verbose : bool If False, reduce verbosity. Returns ------- ref_coors : array The reference coordinates. cells : array The cell indices corresponding to the reference coordinates. status : array The status: 0 is success, 1 is extrapolation within `close_limit`, 2 is extrapolation outside `close_limit`, 3 is failure. """ ref_coors = get_default_attr(cache, 'ref_coors', None) if ref_coors is None: mesh = get_default_attr(cache, 'mesh', None) if mesh is None: mesh = field.create_mesh(extra_nodes=False) scoors = mesh.coors output('reference field: %d vertices' % scoors.shape[0], verbose=verbose) iconn = get_default_attr(cache, 'iconn', None) if iconn is None: offsets, iconn = make_inverse_connectivity(mesh.conns, mesh.n_nod, ret_offsets=True) ii = nm.where(offsets[1:] == offsets[:-1])[0] if len(ii): raise ValueError('some vertices not in any element! (%s)' % ii) else: offsets = cache.offsets if strategy == 'kdtree': kdtree = get_default_attr(cache, 'kdtree', None) if kdtree is None: from scipy.spatial import cKDTree as KDTree tt = time.clock() kdtree = KDTree(scoors) output('kdtree: %f s' % (time.clock()-tt), verbose=verbose) tt = time.clock() ics = kdtree.query(coors)[1] output('kdtree query: %f s' % (time.clock()-tt), verbose=verbose) tt = time.clock() ics = nm.asarray(ics, dtype=nm.int32) vertex_coorss, nodess, mtx_is = [], [], [] conns = [] for ig, ap in field.aps.iteritems(): ps = ap.interp.gel.interp.poly_spaces['v'] vertex_coorss.append(ps.geometry.coors) nodess.append(ps.nodes) mtx_is.append(ps.get_mtx_i()) conns.append(mesh.conns[ig].copy()) # Get reference element coordinates corresponding to # destination coordinates. ref_coors = nm.empty_like(coors) cells = nm.empty((coors.shape[0], 2), dtype=nm.int32) status = nm.empty((coors.shape[0],), dtype=nm.int32) find_ref_coors(ref_coors, cells, status, coors, ics, offsets, iconn, scoors, conns, vertex_coorss, nodess, mtx_is, 1, close_limit, 1e-15, 100, 1e-8) output('ref. coordinates: %f s' % (time.clock()-tt), verbose=verbose) elif strategy == 'crawl': raise NotImplementedError else: raise ValueError('unknown search strategy! (%s)' % strategy) else: ref_coors = cache.ref_coors cells = cache.cells status = cache.status return ref_coors, cells, status sfepy-release_2015.1/sfepy/discrete/fem/history.py000066400000000000000000000037261247364230400222170ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import get_default, OneTypeList, Container, Struct from sfepy.solvers.ts import TimeStepper from sfepy.discrete.fem.meshio import HDF5MeshIO ## # 14.06.2007, c class Histories( Container ): def from_file_hdf5( filename, var_names ): """TODO: do not read entire file, provide data on demand.""" io = HDF5MeshIO( filename ) ts = TimeStepper( *io.read_time_stepper() ) steps = nm.arange( ts.n_step, dtype = nm.int32 ) ths = io.read_variables_time_history( var_names, ts ) objs = OneTypeList( History ) for name, th in ths.iteritems(): hist = History( name, steps = steps, times = ts.times, th = th ) objs.append( hist ) obj = Histories( objs, dt = ts.dt, name = ' '.join( var_names ) ) return obj from_file_hdf5 = staticmethod( from_file_hdf5 ) ## # 14.06.2007, c class History( Struct ): ## # 14.06.2007, c def from_sequence( seq, name ): obj = History( name = name, steps = nm.arange( len( seq ), dtype = nm.int32 ), th = list( seq ) ) return obj from_sequence = staticmethod( from_sequence ) def __init__( self, name, th = None, steps = None, times = None ): Struct.__init__( self, name = name, th = get_default( th, [] ), steps = get_default( steps, [] ), times = get_default( times, [] ) ) ## def __setitem__( self, key, value ): ## pass ## # 14.06.2007, c def __getitem__( self, ii ): return self.th[ii] ## # 15.06.2007, c def __len__( self ): return len( self.th ) def append( self, item, step, time ): self.th.append( item ) self.steps.append( step ) self.times.append( time ) sfepy-release_2015.1/sfepy/discrete/fem/lcbc_operators.py000066400000000000000000000470661247364230400235240ustar00rootroot00000000000000""" Operators for enforcing linear combination boundary conditions in nodal FEM setting. """ import numpy as nm import scipy.sparse as sp from sfepy.base.base import output, assert_, find_subclasses, Container, Struct from sfepy.discrete.common.dof_info import DofInfo, expand_nodes_to_equations from sfepy.discrete.fem.utils import (compute_nodal_normals, compute_nodal_edge_dirs) from sfepy.discrete.conditions import get_condition_value class LCBCOperator(Struct): """ Base class for LCBC operators. """ def __init__(self, name, regions, dof_names, dof_map_fun, variables, functions=None): Struct.__init__(self, name=name, regions=regions, dof_names=dof_names) if dof_map_fun is not None: self.dof_map_fun = get_condition_value(dof_map_fun, functions, 'LCBC', 'dof_map_fun') self._setup_dof_names(variables) def _setup_dof_names(self, variables): self.var_names = [dd[0].split('.')[0] for dd in self.dof_names] self.all_dof_names = [variables[ii].dofs for ii in self.var_names] def setup(self): pass class MRLCBCOperator(LCBCOperator): """ Base class for model-reduction type LCBC operators. """ def __init__(self, name, regions, dof_names, dof_map_fun, variables, functions=None): Struct.__init__(self, name=name, region=regions[0], dof_names=dof_names[0]) self._setup_dof_names(variables) self.eq_map = variables[self.var_name].eq_map self.field = variables[self.var_name].field self.mdofs = self.field.get_dofs_in_region(self.region, merge=True) self.n_sdof = 0 def _setup_dof_names(self, variables): self.var_name = self.dof_names[0].split('.')[0] self.var_names = [self.var_name, None] self.all_dof_names = variables[self.var_name].dofs def setup(self): eq = self.eq_map.eq meq = expand_nodes_to_equations(self.mdofs, self.dof_names, self.all_dof_names) ameq = eq[meq] assert_(nm.all(ameq >= 0)) if self.eq_map.n_epbc: self.treat_pbcs(meq, self.eq_map.master) # Node-by-node order compatible with MRLCBCOperator matrices. self.ameq = ameq.reshape((len(self.dof_names), -1)).T.ravel() def treat_pbcs(self, dofs, master): """ Treat dofs with periodic BC. """ master = nm.intersect1d(dofs, master) if len(master) == 0: return # Remove rows with master DOFs. remove = nm.searchsorted(nm.sort(dofs), master) keep = nm.setdiff1d(nm.arange(len(dofs)), remove) mtx = self.mtx[keep] # Remove empty columns, update new DOF count. mtx = mtx.tocsc() indptr = nm.unique(mtx.indptr) self.mtx = sp.csc_matrix((mtx.data, mtx.indices, indptr), shape=(mtx.shape[0], indptr.shape[0] - 1)) self.n_mdof = self.mtx.shape[0] self.n_dof_new = self.mtx.shape[1] class RigidOperator(MRLCBCOperator): """ Transformation matrix operator for rigid LCBCs. """ kind = 'rigid' def __init__(self, name, regions, dof_names, dof_map_fun, variables, ts=None, functions=None): MRLCBCOperator.__init__(self, name, regions, dof_names, dof_map_fun, variables, functions=functions) coors = self.field.get_coor(self.mdofs) n_nod, dim = coors.shape mtx_e = nm.tile(nm.eye(dim, dtype=nm.float64), (n_nod, 1)) if dim == 2: mtx_r = nm.empty((dim * n_nod, 1), dtype=nm.float64) mtx_r[0::dim,0] = -coors[:,1] mtx_r[1::dim,0] = coors[:,0] n_rigid_dof = 3 elif dim == 3: mtx_r = nm.zeros((dim * n_nod, dim), dtype=nm.float64) mtx_r[0::dim,1] = coors[:,2] mtx_r[0::dim,2] = -coors[:,1] mtx_r[1::dim,0] = -coors[:,2] mtx_r[1::dim,2] = coors[:,0] mtx_r[2::dim,0] = coors[:,1] mtx_r[2::dim,1] = -coors[:,0] n_rigid_dof = 6 else: msg = 'dimension in [2, 3]: %d' % dim raise ValueError(msg) self.mtx = nm.hstack((mtx_r, mtx_e)) # Strip unconstrained dofs. aux = dim * nm.arange(n_nod) indx = [aux + self.all_dof_names.index(dof) for dof in self.dof_names] indx = nm.array(indx).T.ravel() self.n_mdof = n_nod * len(self.dof_names) self.n_new_dof = n_rigid_dof self.mtx = self.mtx[indx] def _save_vectors(filename, vectors, region, mesh, data_name): """ Save vectors defined in region nodes as vector data in mesh vertices. """ nv = nm.zeros_like(mesh.coors) nmax = region.vertices.shape[0] nv[region.vertices] = vectors[:nmax] out = {data_name : Struct(name='output_data', mode='vertex', data=nv)} mesh.write(filename, out=out, io='auto') class NoPenetrationOperator(MRLCBCOperator): """ Transformation matrix operator for no-penetration LCBCs. """ kind = 'no_penetration' def __init__(self, name, regions, dof_names, dof_map_fun, filename, variables, ts=None, functions=None): MRLCBCOperator.__init__(self, name, regions, dof_names, dof_map_fun, variables, functions=functions) self.filename = filename dim = self.region.dim assert_(len(self.dof_names) == dim) normals = compute_nodal_normals(self.mdofs, self.region, self.field) can_save = (ts is None) or ((ts is not None) and ts.step == 0) if can_save and self.filename is not None: _save_vectors(self.filename, normals, self.region, self.field.domain.mesh, 'n') ii = nm.abs(normals).argmax(1) n_nod, dim = normals.shape irs = set(range(dim)) data = [] rows = [] cols = [] for idim in xrange(dim): ic = nm.where(ii == idim)[0] if len(ic) == 0: continue ir = list(irs.difference([idim])) nn = nm.empty((len(ic), dim - 1), dtype=nm.float64) for ik, il in enumerate(ir): nn[:,ik] = - normals[ic,il] / normals[ic,idim] irn = dim * ic + idim ics = [(dim - 1) * ic + ik for ik in xrange(dim - 1)] for ik in xrange(dim - 1): rows.append(irn) cols.append(ics[ik]) data.append(nn[:,ik]) ones = nm.ones((nn.shape[0],), dtype=nm.float64) for ik, il in enumerate(ir): rows.append(dim * ic + il) cols.append(ics[ik]) data.append(ones) rows = nm.concatenate(rows) cols = nm.concatenate(cols) data = nm.concatenate(data) n_np_dof = n_nod * (dim - 1) mtx = sp.coo_matrix((data, (rows, cols)), shape=(n_nod * dim, n_np_dof)) self.n_mdof = n_nod * dim self.n_new_dof = n_np_dof self.mtx = mtx.tocsr() class NormalDirectionOperator(MRLCBCOperator): """ Transformation matrix operator for normal direction LCBCs. The substitution (in 3D) is: .. math:: [u_1, u_2, u_3]^T = [n_1, n_2, n_3]^T w The new DOF is :math:`w`. """ kind = 'normal_direction' def __init__(self, name, regions, dof_names, dof_map_fun, filename, variables, ts=None, functions=None): MRLCBCOperator.__init__(self, name, regions, dof_names, dof_map_fun, variables, functions=functions) self.filename = filename dim = self.region.dim assert_(len(self.dof_names) == dim) can_save = ((self.filename is not None) and ((ts is None) or ((ts is not None) and ts.step == 0))) filename = self.filename if can_save else None vectors = self.get_vectors(self.mdofs, self.region, self.field, filename=filename) n_nod, dim = vectors.shape data = vectors.ravel() rows = nm.arange(data.shape[0]) cols = nm.repeat(nm.arange(n_nod), dim) mtx = sp.coo_matrix((data, (rows, cols)), shape=(n_nod * dim, n_nod)) self.n_mdof = n_nod * dim self.n_new_dof = n_nod self.mtx = mtx.tocsr() def get_vectors(self, nodes, region, field, filename=None): normals = compute_nodal_normals(nodes, region, field) if filename is not None: _save_vectors(filename, normals, region, field.domain.mesh, 'n') return normals class EdgeDirectionOperator(NormalDirectionOperator): """ Transformation matrix operator for edges direction LCBCs. The substitution (in 3D) is: .. math:: [u_1, u_2, u_3]^T = [d_1, d_2, d_3]^T w, where :math:`\ul{d}` is an edge direction vector averaged into a node. The new DOF is :math:`w`. """ kind = 'edge_direction' def get_vectors(self, nodes, region, field, filename=None): edirs = compute_nodal_edge_dirs(nodes, region, field) if filename is not None: _save_vectors(filename, edirs, region, field.domain.mesh, 'e') return edirs class IntegralMeanValueOperator(MRLCBCOperator): """ Transformation matrix operator for integral mean value LCBCs. All node DOFs are sumed to the new one. """ kind = 'integral_mean_value' def __init__(self, name, regions, dof_names, dof_map_fun, variables, ts=None, functions=None): MRLCBCOperator.__init__(self, name, regions, dof_names, dof_map_fun, variables, functions=functions) dpn = len(self.dof_names) n_nod = self.mdofs.shape[0] data = nm.ones((n_nod * dpn,)) rows = nm.arange(data.shape[0]) cols = nm.zeros((data.shape[0],)) mtx = sp.coo_matrix((data, (rows, cols)), shape=(n_nod * dpn, dpn)) self.n_mdof = n_nod * dpn self.n_new_dof = dpn self.mtx = mtx.tocsr() class ShiftedPeriodicOperator(LCBCOperator): """ Transformation matrix operator shifted periodic boundary conditions. """ kind = 'shifted_periodic' def __init__(self, name, regions, dof_names, dof_map_fun, shift_fun, variables, ts, functions): LCBCOperator.__init__(self, name, regions, dof_names, dof_map_fun, variables, functions=functions) self.shift_fun = get_condition_value(shift_fun, functions, 'LCBC', 'shift') mvar = variables[self.var_names[0]] svar = variables[self.var_names[1]] mfield = mvar.field sfield = svar.field nmaster = mfield.get_dofs_in_region(regions[0], merge=True) nslave = sfield.get_dofs_in_region(regions[1], merge=True) if nmaster.shape != nslave.shape: msg = 'shifted EPBC node list lengths do not match!\n(%s,\n %s)' %\ (nmaster, nslave) raise ValueError(msg) mcoor = mfield.get_coor(nmaster) scoor = sfield.get_coor(nslave) i1, i2 = self.dof_map_fun(mcoor, scoor) self.mdofs = expand_nodes_to_equations(nmaster[i1], dof_names[0], self.all_dof_names[0]) self.sdofs = expand_nodes_to_equations(nslave[i2], dof_names[1], self.all_dof_names[1]) self.shift = self.shift_fun(ts, scoor[i2], regions[1]) meq = mvar.eq_map.eq[self.mdofs] seq = svar.eq_map.eq[self.sdofs] # Ignore DOFs with EBCs or EPBCs. mia = nm.where(meq >= 0)[0] sia = nm.where(seq >= 0)[0] ia = nm.intersect1d(mia, sia) meq = meq[ia] seq = seq[ia] num = len(ia) ones = nm.ones(num, dtype=nm.float64) n_dofs = [variables.adi.n_dof[name] for name in self.var_names] mtx = sp.coo_matrix((ones, (meq, seq)), shape=n_dofs) self.mtx = mtx.tocsr() self.rhs = self.shift.ravel()[ia] self.ameq = meq self.aseq = seq self.n_mdof = len(nm.unique(meq)) self.n_sdof = len(nm.unique(seq)) self.n_new_dof = 0 class LCBCOperators(Container): """ Container holding instances of LCBCOperator subclasses for a single variable. """ def __init__(self, name, variables, functions=None): """ Parameters ---------- name : str The object name. variables : Variables instance The variables to be constrained. functions : Functions instance, optional The user functions for DOF matching and other LCBC subclass-specific tasks. """ Container.__init__(self, name=name, variables=variables, functions=functions) self.markers = [] self.n_new_dof = [] self.n_op = 0 self.ics = None self.classes = find_subclasses(globals(), [LCBCOperator], omit_unnamed=True, name_attr='kind') def add_from_bc(self, bc, ts): """ Create a new LCBC operator described by `bc`, and add it to the container. Parameters ---------- bc : LinearCombinationBC instance The LCBC condition description. ts : TimeStepper instance The time stepper. """ try: cls = self.classes[bc.kind] except KeyError: raise ValueError('unknown LCBC kind! (%s)' % bc.kind) args = bc.arguments + (self.variables, ts, self.functions) op = cls('%d_%s' % (len(self), bc.kind), bc.regions, bc.dofs, bc.dof_map_fun, *args) op.setup() self.append(op) def append(self, op): Container.append(self, op) self.markers.append(self.n_op + 1) self.n_new_dof.append(op.n_new_dof) self.n_op = len(self) def finalize(self): """ Call this after all LCBCs of the variable have been added. Initializes the global column indices and DOF counts. """ keys = self.variables.adi.var_names self.n_master = {}.fromkeys(keys, 0) self.n_slave = {}.fromkeys(keys, 0) self.n_new = {}.fromkeys(keys, 0) ics = {} for ii, op in enumerate(self): self.n_master[op.var_names[0]] += op.n_mdof if op.var_names[1] is not None: self.n_slave[op.var_names[1]] += op.n_sdof self.n_new[op.var_names[0]] += op.n_new_dof ics.setdefault(op.var_names[0], []).append((ii, op.n_new_dof)) self.ics = {} for key, val in ics.iteritems(): iis, ics = zip(*val) self.ics[key] = (iis, nm.cumsum(nm.r_[0, ics])) self.n_free = {} self.n_active = {} n_dof = self.variables.adi.n_dof for key in self.n_master.iterkeys(): self.n_free[key] = n_dof[key] - self.n_master[key] self.n_active[key] = self.n_free[key] + self.n_new[key] def _dict_to_di(name, dd): di = DofInfo(name) for key, val in dd.iteritems(): di.append_raw(key, val) return di self.lcdi = _dict_to_di('lcbc_active_state_dof_info', self.n_active) self.fdi = _dict_to_di('free_dof_info', self.n_free) self.ndi = _dict_to_di('new_dof_info', self.n_new) def make_global_operator(self, adi, new_only=False): """ Assemble all LCBC operators into a single matrix. Parameters ---------- adi : DofInfo The active DOF information. new_only : bool If True, the operator columns will contain only new DOFs. Returns ------- mtx_lc : csr_matrix The global LCBC operator in the form of a CSR matrix. rhs_lc : array The right-hand side for non-homogeneous LCBCs. lcdi : DofInfo The global active LCBC-constrained DOF information. """ self.finalize() if len(self) == 0: return (None,) * 3 n_dof = self.variables.adi.ptr[-1] n_constrained = nm.sum([val for val in self.n_master.itervalues()]) n_dof_free = nm.sum([val for val in self.n_free.itervalues()]) n_dof_new = nm.sum([val for val in self.n_new.itervalues()]) n_dof_active = nm.sum([val for val in self.n_active.itervalues()]) output('dofs: total %d, free %d, constrained %d, new %d'\ % (n_dof, n_dof_free, n_constrained, n_dof_new)) output(' -> active %d' % (n_dof_active)) adi = self.variables.adi lcdi, ndi, fdi = self.lcdi, self.ndi, self.fdi rows = [] cols = [] data = [] lcbc_mask = nm.ones(n_dof, dtype=nm.bool) is_homogeneous = True for ii, op in enumerate(self): rvar_name = op.var_names[0] roff = adi.indx[rvar_name].start irs = roff + op.ameq lcbc_mask[irs] = False if op.get('rhs', None) is not None: is_homogeneous = False if not is_homogeneous: vec_lc = nm.zeros(n_dof, dtype=nm.float64) else: vec_lc = None for ii, op in enumerate(self): rvar_name = op.var_names[0] roff = adi.indx[rvar_name].start irs = roff + op.ameq cvar_name = op.var_names[1] if cvar_name is None: if new_only: coff = ndi.indx[rvar_name].start else: coff = lcdi.indx[rvar_name].start + fdi.n_dof[rvar_name] iis, icols = self.ics[rvar_name] ici = nm.searchsorted(iis, ii) ics = nm.arange(coff + icols[ici], coff + icols[ici+1]) if isinstance(op.mtx, sp.spmatrix): lr, lc, lv = sp.find(op.mtx) rows.append(irs[lr]) cols.append(ics[lc]) data.append(lv) else: _irs, _ics = nm.meshgrid(irs, ics) rows.append(_irs.ravel()) cols.append(_ics.ravel()) data.append(op.mtx.T.ravel()) else: coff = lcdi.indx[cvar_name].start lr, lc, lv = sp.find(op.mtx) ii1 = nm.where(lcbc_mask[adi.indx[cvar_name]])[0] ii2 = nm.searchsorted(ii1, lc) rows.append(roff + lr) cols.append(coff + ii2) data.append(lv) vec_lc[irs] += op.rhs rows = nm.concatenate(rows) cols = nm.concatenate(cols) data = nm.concatenate(data) if new_only: mtx_lc = sp.coo_matrix((data, (rows, cols)), shape=(n_dof, n_dof_new)) else: mtx_lc = sp.coo_matrix((data, (rows, cols)), shape=(n_dof, n_dof_active)) ir = nm.where(lcbc_mask)[0] ic = nm.empty((n_dof_free,), dtype=nm.int32) for var_name in adi.var_names: ii = nm.arange(fdi.n_dof[var_name], dtype=nm.int32) ic[fdi.indx[var_name]] = lcdi.indx[var_name].start + ii mtx_lc2 = sp.coo_matrix((nm.ones((ir.shape[0],)), (ir, ic)), shape=(n_dof, n_dof_active), dtype=nm.float64) mtx_lc = mtx_lc + mtx_lc2 mtx_lc = mtx_lc.tocsr() return mtx_lc, vec_lc, lcdi sfepy-release_2015.1/sfepy/discrete/fem/linearizer.py000066400000000000000000000105141247364230400226530ustar00rootroot00000000000000""" Linearization of higher order solutions for the purposes of visualization. """ import numpy as nm from sfepy.linalg import dot_sequences from sfepy.discrete.fem.refine import refine_reference def get_eval_dofs(dofs, dof_conn, ps, ori=None): """ Get default function for evaluating field DOFs given a list of elements and reference element coordinates. """ def _eval(iels, rx): edofs = dofs[dof_conn[iels]] if ori is not None: eori = ori[iels] else: eori = None bf = ps.eval_base(rx, ori=eori, force_axis=True)[...,0,:] rvals = dot_sequences(bf, edofs) return rvals return _eval def get_eval_coors(coors, conn, ps): """ Get default function for evaluating physical coordinates given a list of elements and reference element coordinates. """ def _eval(iels, rx): ecoors = coors[conn[iels]] aux = ecoors.transpose((0, 2, 1)) bf = ps.eval_base(rx).squeeze() phys_coors = nm.dot(aux, bf.T).transpose((0, 2, 1)) return phys_coors return _eval def create_output(eval_dofs, eval_coors, n_el, ps, min_level=0, max_level=2, eps=1e-4): """ Create mesh with linear elements that approximates DOFs returned by `eval_dofs()` corresponding to a higher order approximation with a relative precision given by `eps`. The DOFs are evaluated in physical coordinates returned by `eval_coors()`. """ def _get_msd(iels, rx, ree): rvals = eval_dofs(iels, rx) rng = rvals.max() - rvals.min() n_components = rvals.shape[-1] msd = 0.0 for ic in range(n_components): rval = rvals[..., ic] sd = rval[:, ree] # ~ max. second derivative. msd += nm.abs(sd[..., 0] + sd[..., 2] - 2.0 * sd[..., 1]).max(axis=-1) msd /= n_components return msd, rng rx0 = ps.geometry.coors rc0 = ps.geometry.conn[None, :] rx, rc, ree = refine_reference(ps.geometry, 1) factor = rc.shape[0] / rc0.shape[0] iels = nm.arange(n_el) msd, rng = _get_msd(iels, rx, ree) eps_r = rng * eps flag = msd > eps_r iels0 = flag0 = None coors = [] conns = [] vdofs = [] inod = 0 for level in range(max_level + 1): if level < min_level: flag.fill(True) # Force refinement everywhere. elif level == max_level: # Last level - take everything. flag.fill(False) # Deal with finished elements. if flag0 is not None: ii = nm.searchsorted(iels0, iels) expand_flag0 = flag0[ii].repeat(factor, axis=1) else: expand_flag0 = nm.ones_like(flag) ie, ir = nm.where((flag == False) & (expand_flag0 == True)) if len(ie): uie, iies = nm.unique(ie, return_inverse=True) # Each (sub-)element has own coordinates - no shared vertices. xes = eval_coors(iels[uie], rx0) des = eval_dofs(iels[uie], rx0) # Vectorize (how??) or use cython? cc = [] vd = [] for ii, iie in enumerate(iies): ce = rc0[ir[ii]] xe = xes[iie] cc.append(xe[ce]) de = des[iie] vd.append(de[ce]) cc = nm.vstack(cc) vd = nm.vstack(vd) nc = cc.shape[0] np = rc0.shape[1] conn = nm.arange(nc, dtype=nm.int32).reshape((nc / np, np)) coors.append(cc) conns.append(conn + inod) vdofs.append(vd) inod += nc if not flag.any(): break iels0 = iels flag0 = flag # Deal with elements to refine. if level < max_level: eflag = flag.sum(axis=1, dtype=nm.bool) iels = iels[eflag] rc0 = rc rx0 = rx rx, rc, ree = refine_reference(ps.geometry, level + 2) msd, rng = _get_msd(iels, rx, ree) eps_r = rng * eps flag = msd > eps_r all_coors = nm.concatenate(coors, axis=0) conn = nm.concatenate(conns, axis=0) all_vdofs = nm.concatenate(vdofs, axis=0) mat_ids = nm.zeros(conn.shape[0], dtype=nm.int32) return level, all_coors, conn, all_vdofs, mat_ids sfepy-release_2015.1/sfepy/discrete/fem/mappings.py000066400000000000000000000075321247364230400223330ustar00rootroot00000000000000""" Finite element reference mappings. """ import numpy as nm from sfepy.base.base import get_default, output from sfepy.discrete.common.mappings import Mapping from sfepy.discrete.fem.poly_spaces import PolySpace from sfepy.discrete.fem.extmods.mappings import CMapping class FEMapping(Mapping): """ Base class for finite element mappings. """ def __init__(self, coors, conn, poly_space=None, gel=None, order=1): self.coors = coors self.conn = conn try: nm.take(self.coors, self.conn) except IndexError: output('coordinates shape: %s' % list(coors.shape)) output('connectivity: min: %d, max: %d' % (conn.min(), conn.max())) msg = 'incompatible connectivity and coordinates (see above)' raise IndexError(msg) self.n_el, self.n_ep = conn.shape self.dim = self.coors.shape[1] if poly_space is None: poly_space = PolySpace.any_from_args(None, gel, order, base='lagrange', force_bubble=False) self.poly_space = poly_space def get_geometry(self): """ Return reference element geometry as a GeometryElement instance. """ return self.poly_space.geometry def get_base(self, coors, diff=False): """ Get base functions or their gradient evaluated in given coordinates. """ bf = self.poly_space.eval_base(coors, diff=diff) return bf def get_physical_qps(self, qp_coors): """ Get physical quadrature points corresponding to given reference element quadrature points. Returns ------- qps : array The physical quadrature points ordered element by element, i.e. with shape (n_el, n_qp, dim). """ bf = self.get_base(qp_coors) qps = nm.dot(nm.atleast_2d(bf.squeeze()), self.coors[self.conn]) # Reorder so that qps are really element by element. qps = nm.ascontiguousarray(nm.swapaxes(qps, 0, 1)) return qps class VolumeMapping(FEMapping): """ Mapping from reference domain to physical domain of the same space dimension. """ def get_mapping(self, qp_coors, weights, poly_space=None, ori=None): """ Get the mapping for given quadrature points, weights, and polynomial space. Returns ------- cmap : CMapping instance The volume mapping. """ poly_space = get_default(poly_space, self.poly_space) bf_g = self.get_base(qp_coors, diff=True) ebf_g = poly_space.eval_base(qp_coors, diff=True, ori=ori, force_axis=True) flag = ori is not None cmap = CMapping(self.n_el, qp_coors.shape[0], self.dim, poly_space.n_nod, mode='volume', flag=flag) cmap.describe(self.coors, self.conn, bf_g, ebf_g, weights) return cmap class SurfaceMapping(FEMapping): """ Mapping from reference domain to physical domain of the space dimension higher by one. """ def get_mapping(self, qp_coors, weights, poly_space=None, mode='surface'): """ Get the mapping for given quadrature points, weights, and polynomial space. Returns ------- cmap : CMapping instance The surface mapping. """ poly_space = get_default(poly_space, self.poly_space) bf_g = self.get_base(qp_coors, diff=True) if nm.allclose(bf_g, 0.0): raise ValueError('zero base function gradient!') cmap = CMapping(self.n_el, qp_coors.shape[0], self.dim, poly_space.n_nod, mode=mode) cmap.describe(self.coors, self.conn, bf_g, None, weights) return cmap sfepy-release_2015.1/sfepy/discrete/fem/mesh.py000066400000000000000000000674751247364230400214650ustar00rootroot00000000000000import time import numpy as nm import scipy.sparse as sp from sfepy.base.base import Struct, get_default, output, assert_ from meshio import MeshIO, supported_cell_types def make_point_cells(indx, dim): conn = nm.zeros((indx.shape[0], dim + 1), dtype=nm.int32) for ii in range(0, dim + 1): conn[:,ii] = indx return conn def find_map(x1, x2, eps=1e-8, allow_double=False, join=True): """ Find a mapping between common coordinates in x1 and x2, such that x1[cmap[:,0]] == x2[cmap[:,1]] """ off, dim = x1.shape ir = nm.zeros((off + x2.shape[0],), dtype=nm.int32) ir[off:] = off x1 = nm.round(x1.T / eps) * eps x2 = nm.round(x2.T / eps) * eps xx = nm.c_[x1, x2] keys = [xx[ii] for ii in range(dim)] iis = nm.lexsort(keys=keys) xs = xx.T[iis] xd = nm.sqrt(nm.sum(nm.diff(xs, axis=0)**2.0, axis=1)) ii = nm.where(xd < eps)[0] off1, off2 = ir[iis][ii], ir[iis][ii+1] i1, i2 = iis[ii] - off1, iis[ii+1] - off2 dns = nm.where(off1 == off2)[0] if dns.size: output('double node(s) in:') for dn in dns: if off1[dn] == 0: output('x1: %d %d -> %s %s' % (i1[dn], i2[dn], x1[:,i1[dn]], x1[:,i2[dn]])) else: output('x2: %d %d -> %s %s' % (i1[dn], i2[dn], x2[:,i1[dn]], x2[:,i2[dn]])) if not allow_double: raise ValueError('double node(s)! (see above)') if join: cmap = nm.c_[i1, i2] return cmap else: return i1, i2 def merge_mesh(x1, ngroups1, conns1, mat_ids1, x2, ngroups2, conns2, mat_ids2, cmap, eps=1e-8): """ Merge two meshes in common coordinates found in x1, x2. Notes ----- Assumes the same number and kind of element groups in both meshes! """ n1 = x1.shape[0] n2 = x2.shape[0] err = nm.sum(nm.sum(nm.abs(x1[cmap[:,0],:-1] - x2[cmap[:,1],:-1]))) if abs(err) > (10.0 * eps): raise ValueError('nonmatching meshes! (error: %e)' % err) mask = nm.ones((n2,), dtype=nm.int32) mask[cmap[:,1]] = 0 remap = nm.cumsum(mask) + n1 - 1 remap[cmap[:,1]] = cmap[:,0] i2 = nm.setdiff1d(nm.arange( n2, dtype=nm.int32), cmap[:,1]) xx = nm.r_[x1, x2[i2]] ngroups = nm.r_[ngroups1, ngroups2[i2]] conns = [] for ii, conn1 in enumerate(conns1): conn = nm.vstack((conn1, remap[conns2[ii]])) conns.append(conn) mat_ids = None if (mat_ids1 is not None) and (mat_ids2 is not None): mat_ids = [] for ii, mm1 in enumerate(mat_ids1): mm = nm.concatenate((mm1, mat_ids2[ii])) mat_ids.append(mm) return xx, ngroups, conns, mat_ids def fix_double_nodes(coor, ngroups, conns, eps): """ Detect and attempt fixing double nodes in a mesh. The double nodes are nodes having the same coordinates w.r.t. precision given by `eps`. """ n_nod, dim = coor.shape cmap = find_map(coor, nm.zeros((0,dim)), eps=eps, allow_double=True) if cmap.size: output('double nodes in input mesh!') output('trying to fix...') while cmap.size: # Just like in Variable.equation_mapping()... ii = nm.argsort(cmap[:,1]) scmap = cmap[ii] eq = nm.arange(n_nod) eq[scmap[:,1]] = -1 eqi = eq[eq >= 0] eq[eqi] = nm.arange(eqi.shape[0]) remap = eq.copy() remap[scmap[:,1]] = eq[scmap[:,0]] output(coor.shape) coor = coor[eqi] ngroups = ngroups[eqi] output(coor.shape) ccs = [] for conn in conns: ccs.append(remap[conn]) conns = ccs cmap = find_map(coor, nm.zeros((0,dim)), eps=eps, allow_double=True) output('...done') return coor, ngroups, conns def get_min_edge_size(coor, conns): """ Get the smallest edge length. """ mes = 1e16 for conn in conns: n_ep = conn.shape[1] for ir in range(n_ep): x1 = coor[conn[:,ir]] for ic in range(ir + 1, n_ep): x2 = coor[conn[:,ic]] aux = nm.sqrt(nm.sum((x2 - x1)**2.0, axis=1).min()) mes = min(mes, aux) return mes def get_min_vertex_distance(coor, guess): """Can miss the minimum, but is enough for our purposes.""" # Sort by x. ix = nm.argsort(coor[:,0]) scoor = coor[ix] mvd = 1e16 # Get mvd in chunks potentially smaller than guess. n_coor = coor.shape[0] i0 = i1 = 0 x0 = scoor[i0,0] while 1: while ((scoor[i1,0] - x0) < guess) and (i1 < (n_coor - 1)): i1 += 1 ## print i0, i1, x0, scoor[i1,0] aim, aa1, aa2, aux = get_min_vertex_distance_naive(scoor[i0:i1+1]) if aux < mvd: im, a1, a2 = aim, aa1 + i0, aa2 + i0 mvd = min(mvd, aux) i0 = i1 = int(0.5 * (i1 + i0)) + 1 ## i0 += 1 x0 = scoor[i0,0] ## print '-', i0 if i1 == n_coor - 1: break ## print im, ix[a1], ix[a2], a1, a2, scoor[a1], scoor[a2] return mvd def get_min_vertex_distance_naive(coor): ii = nm.arange(coor.shape[0]) i1, i2 = nm.meshgrid(ii, ii) i1 = i1.flatten() i2 = i2.flatten() ii = nm.where(i1 < i2) aux = coor[i1[ii]] - coor[i2[ii]] aux = nm.sum(aux**2.0, axis=1) im = aux.argmin() return im, i1[ii][im], i2[ii][im], nm.sqrt(aux[im]) def make_mesh(coor, ngroups, conns, mesh_in): """Create a mesh reusing mat_ids and descs of mesh_in.""" mat_ids = [] for ii, conn in enumerate(conns): mat_id = nm.empty((conn.shape[0],), dtype=nm.int32) mat_id.fill(mesh_in.mat_ids[ii][0]) mat_ids.append(mat_id) mesh_out = Mesh.from_data('merged mesh', coor, ngroups, conns, mat_ids, mesh_in.descs) return mesh_out def make_inverse_connectivity(conns, n_nod, ret_offsets=True): """ For each mesh node referenced in the connectivity conns, make a list of elements it belongs to. """ from itertools import chain iconn = [[] for ii in xrange(n_nod)] n_els = [0] * n_nod for ig, conn in enumerate(conns): for iel, row in enumerate(conn): for node in row: iconn[node].extend([ig, iel]) n_els[node] += 1 n_els = nm.array(n_els, dtype=nm.int32) iconn = nm.fromiter(chain(*iconn), nm.int32) if ret_offsets: offsets = nm.cumsum(nm.r_[0, n_els], dtype=nm.int32) return offsets, iconn else: return n_els, iconn class Mesh(Struct): """ Contains the FEM mesh together with all utilities related to it. Input and output is handled by the MeshIO class and subclasses. The Mesh class only contains the real mesh - nodes, connectivity, regions, plus methods for doing operations on this mesh. Example of creating and working with a mesh:: In [1]: from sfepy.discrete.fem import Mesh In [2]: m = Mesh.from_file("meshes/3d/cylinder.vtk") sfepy: reading mesh (meshes/3d/cylinder.vtk)... sfepy: ...done in 0.04 s In [3]: m.coors Out[3]: array([[ 1.00000000e-01, 2.00000000e-02, -1.22460635e-18], [ 1.00000000e-01, 1.80193774e-02, 8.67767478e-03], [ 1.00000000e-01, 1.24697960e-02, 1.56366296e-02], ..., [ 8.00298527e-02, 5.21598617e-03, -9.77772215e-05], [ 7.02544004e-02, 3.61610291e-04, -1.16903153e-04], [ 3.19633596e-02, -1.00335972e-02, 9.60460305e-03]]) In [4]: m.ngroups Out[4]: array([0, 0, 0, ..., 0, 0, 0]) In [5]: m.conns Out[5]: [array([[ 28, 60, 45, 29], [ 28, 60, 57, 45], [ 28, 57, 27, 45], ..., [353, 343, 260, 296], [353, 139, 181, 140], [353, 295, 139, 140]])] In [6]: m.mat_ids Out[6]: [array([6, 6, 6, ..., 6, 6, 6])] In [7]: m.descs Out[7]: ['3_4'] In [8]: m Out[8]: Mesh:meshes/3d/cylinder In [9]: print m Mesh:meshes/3d/cylinder conns: [array([[ 28, 60, 45, 29], [ 28, 60, 57, 45], [ 28, 57, 27, 45], ..., [353, 343, 260, 296], [353, 139, 181, 140], [353, 295, 139, 140]])] coors: [[ 1.00000000e-01 2.00000000e-02 -1.22460635e-18] [ 1.00000000e-01 1.80193774e-02 8.67767478e-03] [ 1.00000000e-01 1.24697960e-02 1.56366296e-02] ..., [ 8.00298527e-02 5.21598617e-03 -9.77772215e-05] [ 7.02544004e-02 3.61610291e-04 -1.16903153e-04] [ 3.19633596e-02 -1.00335972e-02 9.60460305e-03]] descs: ['3_4'] dim: 3 el_offsets: [ 0 1348] io: None mat_ids: [array([6, 6, 6, ..., 6, 6, 6])] n_e_ps: [4] n_el: 1348 n_els: [1348] n_nod: 354 name: meshes/3d/cylinder ngroups: [0 0 0 ..., 0 0 0] setup_done: 0 The Mesh().coors is an array of node coordinates and Mesh().conns is the list of elements of each type (see Mesh().desc), so for example if you want to know the coordinates of the nodes of the fifth finite element of the type 3_4 do:: In [10]: m.descs Out[10]: ['3_4'] So now you know that the finite elements of the type 3_4 are in a.conns[0]:: In [11]: m.coors[m.conns[0][4]] Out[11]: array([[ 1.00000000e-01, 1.80193774e-02, -8.67767478e-03], [ 1.00000000e-01, 1.32888539e-02, -4.35893200e-04], [ 1.00000000e-01, 2.00000000e-02, -1.22460635e-18], [ 9.22857574e-02, 1.95180454e-02, -4.36416134e-03]]) The element ids are of the form "_", i.e.: - 2_2 ... line - 2_3 ... triangle - 2_4 ... quadrangle - 3_2 ... line - 3_4 ... tetrahedron - 3_8 ... hexahedron """ @staticmethod def from_surface(surf_faces, mesh_in): """ Create a mesh given a set of surface faces and the original mesh. """ aux = nm.concatenate([faces.ravel() for faces in surf_faces]) inod = nm.unique(aux) n_nod = len(inod) n_nod_m, dim = mesh_in.coors.shape aux = nm.arange(n_nod, dtype=nm.int32) remap = nm.zeros((n_nod_m,), nm.int32) remap[inod] = aux mesh = Mesh(mesh_in.name + "_surf") mesh.coors = mesh_in.coors[inod] mesh.ngroups = mesh_in.ngroups[inod] sfm = {3 : "2_3", 4 : "2_4"} mesh.conns = [] mesh.descs = [] mesh.mat_ids = [] for ii, sf in enumerate(surf_faces): n_el, n_fp = sf.shape conn = remap[sf] mat_id = nm.empty((conn.shape[0],), dtype=nm.int32) mat_id.fill(ii) mesh.descs.append(sfm[n_fp]) mesh.conns.append(conn) mesh.mat_ids.append(mat_id) mesh._set_shape_info() return mesh @staticmethod def from_file(filename=None, io='auto', prefix_dir=None, omit_facets=False): """ Read a mesh from a file. Parameters ---------- filename : string or function or MeshIO instance or Mesh instance The name of file to read the mesh from. For convenience, a mesh creation function or a MeshIO instance or directly a Mesh instance can be passed in place of the file name. io : *MeshIO instance Passing *MeshIO instance has precedence over filename. prefix_dir : str If not None, the filename is relative to that directory. omit_facets : bool If True, do not read cells of lower dimension than the space dimension (faces and/or edges). Only some MeshIO subclasses support this! """ if isinstance(filename, Mesh): return filename if io == 'auto': if filename is None: output('filename or io must be specified!') raise ValueError else: io = MeshIO.any_from_filename(filename, prefix_dir=prefix_dir) cell_types = ', '.join(supported_cell_types[io.format]) output('reading mesh [%s] (%s)...' % (cell_types, io.filename)) tt = time.clock() trunk = io.get_filename_trunk() mesh = Mesh(trunk) mesh = io.read(mesh, omit_facets=omit_facets) output('...done in %.2f s' % (time.clock() - tt)) mesh._set_shape_info() return mesh @staticmethod def from_region(region, mesh_in, save_edges=False, save_faces=False, localize=False, is_surface=False): """ Create a mesh corresponding to a given region. """ mesh = Mesh(mesh_in.name + "_reg") mesh.coors = mesh_in.coors.copy() mesh.ngroups = mesh_in.ngroups.copy() mesh.conns = [] mesh.descs = [] mesh.mat_ids = [] if not is_surface: if region.has_cells(): for ig in region.igs: mesh.descs.append(mesh_in.descs[ig]) els = region.get_cells(ig) mesh.mat_ids.append(mesh_in.mat_ids[ig][els].copy()) mesh.conns.append(mesh_in.conns[ig][els,:].copy()) if save_edges: cmesh = region.domain.cmesh for ig in region.igs: edges = region.get_edges(ig) if not edges.size: continue verts = cmesh.get_incident(0, edges, 1) verts.shape = (verts.shape[0] / 2, 2) mesh.descs.append('1_2') mesh.conns.append(verts) mat_ids = nm.repeat(ig, verts.shape[0]) mesh.mat_ids.append(mat_ids) if save_faces: mesh._append_region_faces(region) if save_edges or save_faces: mesh.descs.append('1_1') mesh.mat_ids.append(-nm.ones_like(region.vertices)) mesh.conns.append(region.vertices[:, None]) else: mesh._append_region_faces(region, force_faces=True) mesh._set_shape_info() if localize: mesh.localize(region.vertices) return mesh @staticmethod def from_data(name, coors, ngroups, conns, mat_ids, descs, igs=None, nodal_bcs=None): """ Create a mesh from mesh data. """ if igs is None: igs = range(len(conns)) mesh = Mesh(name) mesh._set_data(coors=coors, ngroups=ngroups, conns=[conns[ig] for ig in igs], mat_ids=[mat_ids[ig] for ig in igs], descs=[descs[ig] for ig in igs], nodal_bcs=nodal_bcs) mesh._set_shape_info() return mesh def __init__(self, name='mesh', filename=None, prefix_dir=None, **kwargs): """Create a Mesh. Parameters ---------- name : str Object name. filename : str Loads a mesh from the specified file, if not None. prefix_dir : str If not None, the filename is relative to that directory. """ Struct.__init__(self, name=name, **kwargs) self.nodal_bcs = {} if filename is None: self.io = None self.setup_done = 0 else: io = MeshIO.any_from_filename(filename, prefix_dir=prefix_dir) output('reading mesh (%s)...' % (io.filename)) tt = time.clock() io.read(self) output('...done in %.2f s' % (time.clock() - tt)) self._set_shape_info() def copy(self, name=None): """Make a deep copy of self. Parameters ---------- name : str Name of the copied mesh. """ return Struct.copy(self, deep=True, name=name) def __add__(self, other): """ Merge the two meshes, assuming they have the same number and kind of element groups. """ cmap = find_map(self.coors, other.coors) aux = merge_mesh(self.coors, self.ngroups, self.conns, self.mat_ids, other.coors, other.ngroups, other.conns, other.mat_ids, cmap) coors, ngroups, conns, mat_ids = aux mesh = Mesh.from_data(self.name + ' + ' + other.name, coors, ngroups, conns, mat_ids, self.descs) return mesh def _set_shape_info(self): self.n_nod, self.dim = self.coors.shape self.n_els = nm.array([conn.shape[0] for conn in self.conns]) self.n_e_ps = nm.array([conn.shape[1] for conn in self.conns]) self.el_offsets = nm.cumsum(nm.r_[0, self.n_els]) self.n_el = nm.sum(self.n_els) self.dims = [int(ii[0]) for ii in self.descs] def _set_data(self, coors, ngroups, conns, mat_ids, descs, nodal_bcs=None): """ Set mesh data. Parameters ---------- coors : array Coordinates of mesh nodes. ngroups : array Node groups. conns : list of arrays The array of mesh elements (connectivities) for each element group. mat_ids : list of arrays The array of material ids for each element group. descs: list of strings The element type for each element group. nodal_bcs : dict of arrays, optional The nodes defining regions for boundary conditions referred to by the dict keys in problem description files. """ self.coors = nm.ascontiguousarray(coors) if ngroups is None: self.ngroups = nm.zeros((self.coors.shape[0],), dtype=nm.int32) else: self.ngroups = nm.ascontiguousarray(ngroups) self.conns = [nm.asarray(conn, dtype=nm.int32) for conn in conns] self.mat_ids = [nm.asarray(mat_id, dtype=nm.int32) for mat_id in mat_ids] self.descs = descs self.nodal_bcs = get_default(nodal_bcs, {}) def _append_region_faces(self, region, force_faces=False): dim = self.coors.shape[1] if (not force_faces) and (dim == 2): return cmesh = region.domain.cmesh for ig in region.igs: faces = region.get_facets(ig) if not faces.size: continue verts, offs = cmesh.get_incident(0, faces, cmesh.dim - 1, ret_offsets=True) n_fp = offs[1] - offs[0] verts.shape = (verts.shape[0] / n_fp, n_fp) self.descs.append('%d_%d' % (dim - 1, n_fp)) self.conns.append(verts) mat_ids = nm.repeat(ig, verts.shape[0]) self.mat_ids.append(mat_ids) def write(self, filename=None, io=None, coors=None, igs=None, out=None, float_format=None, **kwargs): """ Write mesh + optional results in `out` to a file. Parameters ---------- filename : str, optional The file name. If None, the mesh name is used instead. io : MeshIO instance or 'auto', optional Passing 'auto' respects the extension of `filename`. coors : array, optional The coordinates that can be used instead of the mesh coordinates. igs : array_like, optional Passing a list of group ids selects only those groups for writing. out : dict, optional The output data attached to the mesh vertices and/or cells. float_format : str, optional The format string used to print floats in case of a text file format. **kwargs : dict, optional Additional arguments that can be passed to the `MeshIO` instance. """ if filename is None: filename = self.name + '.mesh' if io is None: io = self.io if io is None: io = 'auto' if io == 'auto': io = MeshIO.any_from_filename(filename) if coors is None: coors = self.coors if igs is None: igs = range(len(self.conns)) aux_mesh = Mesh.from_data(self.name, coors, self.ngroups, self.conns, self.mat_ids, self.descs, igs=igs, nodal_bcs=self.nodal_bcs) io.set_float_format(float_format) io.write(filename, aux_mesh, out, **kwargs) def get_bounding_box(self): return nm.vstack((nm.amin(self.coors, 0), nm.amax(self.coors, 0))) def get_element_coors(self, ig=None): """ Get the coordinates of vertices elements in group `ig`. Parameters ---------- ig : int, optional The element group. If None, the coordinates for all groups are returned, filled with zeros at places of missing vertices, i.e. where elements having less then the full number of vertices (`n_ep_max`) are. Returns ------- coors : array The coordinates in an array of shape `(n_el, n_ep_max, dim)`. """ cc = self.coors n_ep_max = self.n_e_ps.max() coors = nm.empty((self.n_el, n_ep_max, self.dim), dtype=cc.dtype) for ig, conn in enumerate(self.conns): i1, i2 = self.el_offsets[ig], self.el_offsets[ig + 1] coors[i1:i2, :conn.shape[1], :] = cc[conn] return coors def localize(self, inod): """ Strips nodes not in inod and remaps connectivities. Omits elements where remap[conn] contains -1... """ n_nod = inod.shape[0] remap = nm.empty((self.n_nod,), dtype=nm.int32) remap.fill(-1) remap[inod] = nm.arange(n_nod, dtype=nm.int32) self.coors = self.coors[inod] self.ngroups = self.ngroups[inod] conns = [] mat_ids = [] used_vertices = nm.zeros((0,), dtype=nm.int32) for ig, conn in enumerate(self.conns): if conn.shape[0] == 0: continue aux = remap[conn] ii = nm.unique(nm.where(aux == -1)[0]) ii = nm.setdiff1d(nm.arange(conn.shape[0], dtype=nm.int32), ii) cc = aux[ii] conns.append(cc) used_vertices = nm.r_[used_vertices, nm.unique(cc)] mat_ids.append(self.mat_ids[ig][ii]) self.conns = conns self.mat_ids = mat_ids # Remove nodes not present in any cell. used_vertices = nm.unique(used_vertices) n_nod_new = used_vertices.shape[0] if n_nod_new < n_nod: remap = nm.empty((n_nod,), dtype=nm.int32) remap.fill(-1) remap[used_vertices] = nm.arange(n_nod_new, dtype=nm.int32) self.coors = self.coors[used_vertices] self.ngroups = self.ngroups[used_vertices] # Only renumber cells, no cells should be removed. for ig, conn in enumerate(self.conns): if conn.shape[0] == 0: continue conn[:] = remap[conn] self._set_shape_info() def transform_coors(self, mtx_t, ref_coors=None): """ Transform coordinates of the mesh by the given transformation matrix. Parameters ---------- mtx_t : array The transformation matrix `T` (2D array). It is applied depending on its shape: - `(dim, dim): x = T * x` - `(dim, dim + 1): x = T[:, :-1] * x + T[:, -1]` ref_coors : array, optional Alternative coordinates to use for the transformation instead of the mesh coordinates, with the same shape as `self.coors`. """ if ref_coors is None: ref_coors = self.coors if mtx_t.shape[1] > self.coors.shape[1]: self.coors[:] = nm.dot(ref_coors, mtx_t[:,:-1].T) + mtx_t[:,-1] else: self.coors[:] = nm.dot(ref_coors, mtx_t.T) def create_conn_graph(self, verbose=True): """ Create a graph of mesh connectivity. Returns ------- graph : csr_matrix The mesh connectivity graph as a SciPy CSR matrix. """ from extmods.cmesh import create_mesh_graph shape = (self.n_nod, self.n_nod) output('graph shape:', shape, verbose=verbose) if nm.prod(shape) == 0: output('no graph (zero size)!', verbose=verbose) return None output('assembling mesh graph...', verbose=verbose) tt = time.clock() nnz, prow, icol = create_mesh_graph(shape[0], shape[1], len(self.conns), self.conns, self.conns) output('...done in %.2f s' % (time.clock() - tt), verbose=verbose) output('graph nonzeros: %d (%.2e%% fill)' \ % (nnz, float(nnz) / nm.prod(shape))) data = nm.ones((nnz,), dtype=nm.bool) graph = sp.csr_matrix((data, icol, prow), shape) return graph def explode_groups(self, eps, return_emap=False): """ Explode the mesh element groups by `eps`, i.e. split group interface nodes and shrink each group towards its centre by `eps`. Parameters ---------- eps : float in `[0.0, 1.0]` The group shrinking factor. return_emap : bool, optional If True, also return the mapping against original mesh coordinates that result in the exploded mesh coordinates. The mapping can be used to map mesh vertex data to the exploded mesh vertices. Returns ------- mesh : Mesh The new mesh with exploded groups. emap : spmatrix, optional The maping for exploding vertex values. Only provided if `return_emap` is True. """ assert_(0.0 <= eps <= 1.0) remap = nm.empty((self.n_nod,), dtype=nm.int32) offset = 0 if return_emap: rows, cols = [], [] coors = [] ngroups = [] conns = [] mat_ids = [] descs = [] for ig, conn in enumerate(self.conns): nodes = nm.unique(conn) group_coors = self.coors[nodes] n_nod = group_coors.shape[0] centre = group_coors.sum(axis=0) / float(n_nod) vectors = group_coors - centre[None, :] new_coors = centre + (vectors * eps) remap[nodes] = nm.arange(n_nod, dtype=nm.int32) + offset new_conn = remap[conn] coors.append(new_coors) ngroups.append(self.ngroups[nodes]) conns.append(new_conn) mat_ids.append(self.mat_ids[ig]) descs.append(self.descs[ig]) offset += n_nod if return_emap: cols.append(nodes) rows.append(remap[nodes]) coors = nm.concatenate(coors, axis=0) ngroups = nm.concatenate(ngroups, axis=0) mesh = Mesh.from_data('exploded_' + self.name, coors, ngroups, conns, mat_ids, descs) if return_emap: rows = nm.concatenate(rows) cols = nm.concatenate(cols) data = nm.ones(rows.shape[0], dtype=nm.float64) emap = sp.coo_matrix((data, (rows, cols)), shape=(mesh.n_nod, self.n_nod)) return mesh, emap else: return mesh sfepy-release_2015.1/sfepy/discrete/fem/meshio.py000066400000000000000000002565511247364230400220100ustar00rootroot00000000000000import sys from copy import copy import numpy as nm from sfepy.base.base import (complex_types, dict_from_keys_init, assert_, is_derived_class, insert_static_method, output, get_default, get_default_attr, Struct, basestr) from sfepy.base.ioutils \ import skip_read_line, read_token, read_array, read_list, pt import os.path as op supported_formats = { '.mesh' : 'medit', '.vtk' : 'vtk', '.node' : 'tetgen', '.txt' : 'comsol', '.h5' : 'hdf5', # Order is important, avs_ucd does not guess -> it is the default. '.inp' : ('abaqus', 'ansys_cdb', 'avs_ucd'), '.dat' : 'ansys_cdb', '.hmascii' : 'hmascii', '.mesh3d' : 'mesh3d', '.bdf' : 'nastran', '.neu' : 'gambit', '.med' : 'med', '.cdb' : 'ansys_cdb', } # Map mesh formats to read and write capabilities. # 'r' ... read mesh # 'w' ... write mesh # 'rn' ... read nodes for boundary conditions # 'wn' ... write nodes for boundary conditions supported_capabilities = { 'medit' : ['r', 'w'], 'vtk' : ['r', 'w'], 'tetgen' : ['r'], 'comsol' : ['r', 'w'], 'hdf5' : ['r', 'w'], 'abaqus' : ['r'], 'avs_ucd' : ['r'], 'hmascii' : ['r'], 'mesh3d' : ['r'], 'nastran' : ['r', 'w'], 'gambit' : ['r', 'rn'], 'med' : ['r'], 'ansys_cdb' : ['r'], } supported_cell_types = { 'medit' : ['line2', 'tri3', 'quad4', 'tetra4', 'hexa8'], 'vtk' : ['line2', 'tri3', 'quad4', 'tetra4', 'hexa8'], 'tetgen' : ['tetra4'], 'comsol' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'hdf5' : ['user'], 'abaqus' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'avs_ucd' : ['tetra4', 'hexa8'], 'hmascii' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'mesh3d' : ['tetra4', 'hexa8'], 'nastran' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'gambit' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'med' : ['tri3', 'quad4', 'tetra4', 'hexa8'], 'ansys_cdb' : ['tetra4', 'hexa8'], 'function' : ['user'], } def output_writable_meshes(): output('Supported writable mesh formats are:') for key, val in supported_capabilities.iteritems(): if 'w' in val: output(key) def sort_by_mat_id(conns_in): """ Sort by mat_id within a group, preserve order. """ conns = [] mat_ids = [] for ig, conn in enumerate(conns_in): if conn.shape[0] > 0: ii = nm.argsort(conn[:,-1], kind='mergesort') conn = conn[ii] conns.append(conn[:,:-1].copy()) mat_ids.append(conn[:,-1].copy()) else: conns.append([]) mat_ids.append([]) return conns, mat_ids def sort_by_mat_id2(conns_in, mat_ids_in): """ Sort by mat_id within a group, preserve order. """ conns = [] mat_ids = [] for ig, conn in enumerate(conns_in): if conn.shape[0] > 0: mat_id = mat_ids_in[ig] ii = nm.argsort(mat_id, kind='mergesort') conns.append(conn[ii]) mat_ids.append(mat_id[ii]) else: conns.append([]) mat_ids.append([]) return conns, mat_ids def split_by_mat_id(conns_in, mat_ids_in, descs_in): """ Notes ----- conns_in must be sorted by mat_id within a group! """ conns = [] mat_ids = [] descs = [] for ig, conn in enumerate(conns_in): one = nm.array([-1], nm.int32) aux = nm.concatenate((one, mat_ids_in[ig], one)) ii = nm.where(aux[1:] != aux[:-1])[0] n_gr = len(ii) - 1; for igr in range(0, n_gr): conns.append(conn[ii[igr]:ii[igr+1],:].copy()) mat_ids.append(mat_ids_in[ig][ii[igr]:ii[igr+1]]) descs.append(descs_in[ig]) return (conns, mat_ids, descs) def write_bb(fd, array, dtype): fd.write('3 %d %d %d\n' % (array.shape[1], array.shape[0], dtype)) format = ' '.join(['%.5e'] * array.shape[1] + ['\n']) for row in array: fd.write(format % tuple(row)) def join_conn_groups(conns, descs, mat_ids, concat=False): """Join groups of the same element type.""" el = dict_from_keys_init(descs, list) for ig, desc in enumerate(descs): el[desc].append(ig) groups = [ii for ii in el.values() if ii] descs_out, conns_out, mat_ids_out = [], [], [] for group in groups: n_ep = conns[group[0]].shape[1] conn = nm.zeros((0, n_ep), nm.int32) mat_id = nm.zeros((0,), nm.int32) for ig in group: conn = nm.concatenate((conn, conns[ig])) mat_id = nm.concatenate((mat_id, mat_ids[ig])) if concat: conn = nm.concatenate((conn, mat_id[:,nm.newaxis]), 1) else: mat_ids_out.append(mat_id) conns_out.append(conn) descs_out.append(descs[group[0]]) if concat: return conns_out, descs_out else: return conns_out, descs_out, mat_ids_out def convert_complex_output(out_in): """ Convert complex values in the output dictionary `out_in` to pairs of real and imaginary parts. """ out = {} for key, val in out_in.iteritems(): if val.data.dtype in complex_types: rval = copy(val) rval.data = val.data.real out['real(%s)' % key] = rval ival = copy(val) ival.data = val.data.imag out['imag(%s)' % key] = ival else: out[key] = val return out class MeshIO(Struct): """ The abstract class for importing and exporting meshes. Read the docstring of the Mesh() class. Basically all you need to do is to implement the read() method:: def read(self, mesh, **kwargs): nodes = ... conns = ... mat_ids = ... descs = ... mesh._set_data(nodes, conns, mat_ids, descs) return mesh See the Mesh class' docstring how the nodes, conns, mat_ids and descs should look like. You just need to read them from your specific format from disk. To write a mesh to disk, just implement the write() method and use the information from the mesh instance (e.g. nodes, conns, mat_ids and descs) to construct your specific format. The methods read_dimension(), read_bounding_box() should be implemented in subclasses, as it is often possible to get that kind of information without reading the whole mesh file. Optionally, subclasses can implement read_data() to read also computation results. This concerns mainly the subclasses with implemented write() supporting the 'out' kwarg. The default implementation od read_last_step() just returns 0. It should be reimplemented in subclasses capable of storing several steps. """ format = None call_msg = 'called an abstract MeshIO instance!' def __init__(self, filename, **kwargs): Struct.__init__(self, filename=filename, **kwargs) self.set_float_format() def get_filename_trunk(self): if isinstance(self.filename, file): trunk = 'from_descriptor' else: trunk = op.splitext(self.filename)[0] return trunk def read_dimension(self, ret_fd=False): raise ValueError(MeshIO.call_msg) def read_bounding_box(self, ret_fd=False, ret_dim=False): raise ValueError(MeshIO.call_msg) def read_last_step(self): """The default implementation: just return 0 as the last step.""" return 0 def read_times(self, filename=None): """ Read true time step data from individual time steps. Returns ------- steps : array The time steps. times : array The times of the time steps. nts : array The normalized times of the time steps, in [0, 1]. Notes ----- The default implementation returns empty arrays. """ aux = nm.array([0.0], dtype=nm.float64) return aux.astype(nm.int32), aux, aux def read(self, mesh, omit_facets=False, **kwargs): raise ValueError(MeshIO.call_msg) def write(self, filename, mesh, **kwargs): raise ValueError(MeshIO.call_msg) def read_data(self, step, filename=None): raise ValueError(MeshIO.call_msg) def set_float_format(self, format=None): self.float_format = get_default(format, '%e') def get_vector_format(self, dim): return ' '.join([self.float_format] * dim) class UserMeshIO(MeshIO): """ Special MeshIO subclass that enables reading and writing a mesh using a user-supplied function. """ format = 'function' def __init__(self, filename, **kwargs): assert_(hasattr(filename, '__call__')) self.function = filename MeshIO.__init__(self, filename='function:%s' % self.function.__name__, **kwargs) def get_filename_trunk(self): return self.filename def read(self, mesh, *args, **kwargs): aux = self.function(mesh, mode='read') if aux is not None: mesh = aux self.filename = mesh.name return mesh def write(self, filename, mesh, *args, **kwargs): self.function(mesh, mode='write') class MeditMeshIO(MeshIO): format = 'medit' def read_dimension(self, ret_fd=False): fd = open(self.filename, 'r') while 1: line = skip_read_line(fd, no_eof=True).split() if line[0] == 'Dimension': if len(line) == 2: dim = int(line[1]) else: dim = int(fd.readline()) break if ret_fd: return dim, fd else: fd.close() return dim def read_bounding_box(self, ret_fd=False, ret_dim=False): fd = open(self.filename, 'r') dim, fd = self.read_dimension(ret_fd=True) while 1: line = skip_read_line(fd, no_eof=True).split() if line[0] == 'Vertices': num = int(read_token(fd)) nod = read_array(fd, num, dim + 1, nm.float64) break bbox = nm.vstack((nm.amin(nod[:,:dim], 0), nm.amax(nod[:,:dim], 0))) if ret_dim: if ret_fd: return bbox, dim, fd else: fd.close() return bbox, dim else: if ret_fd: return bbox, fd else: fd.close() return bbox def read(self, mesh, omit_facets=False, **kwargs): dim, fd = self.read_dimension(ret_fd=True) conns_in = [] descs = [] def _read_cells(dimension, size, has_id=True): num = int(read_token(fd)) data = read_array(fd, num, size + 1 * has_id, nm.int32) if omit_facets and (dimension < dim): return data[:, :-1] -= 1 conns_in.append(data) descs.append('%i_%i' % (dimension, size)) while 1: line = skip_read_line(fd).split() if not line: break ls = line[0] if (ls == 'Vertices'): num = int(read_token(fd)) nod = read_array(fd, num, dim + 1, nm.float64) elif (ls == 'Corners'): _read_cells(1, 1, False) elif (ls == 'Edges'): _read_cells(1, 2) elif (ls == 'Tetrahedra'): _read_cells(3, 4) elif (ls == 'Hexahedra'): _read_cells(3, 8) elif (ls == 'Triangles'): _read_cells(2, 3) elif (ls == 'Quadrilaterals'): _read_cells(2, 4) elif ls == 'End': break elif line[0] == '#': continue else: output('skipping unknown entity: %s' % line) continue fd.close() conns_in, mat_ids = sort_by_mat_id(conns_in) # Detect wedges and pyramides -> separate groups. if ('3_8' in descs): ic = descs.index('3_8') conn_in = conns_in.pop(ic) mat_id_in = mat_ids.pop(ic) flag = nm.zeros((conn_in.shape[0],), nm.int32) for ii, el in enumerate(conn_in): if (el[4] == el[5]): if (el[5] == el[6]): flag[ii] = 2 else: flag[ii] = 1 conn = [] desc = [] mat_id = [] ib = nm.where(flag == 0)[0] if (len(ib) > 0): conn.append(conn_in[ib]) mat_id.append(mat_id_in[ib]) desc.append('3_8') iw = nm.where(flag == 1)[0] if (len(iw) > 0): ar = nm.array([0,1,2,3,4,6], nm.int32) conn.append(conn_in[iw[:, None], ar]) mat_id.append(mat_id_in[iw]) desc.append('3_6') ip = nm.where(flag == 2)[0] if (len(ip) > 0): ar = nm.array([0,1,2,3,4], nm.int32) conn.append(conn_in[ip[:, None], ar]) mat_id.append(mat_id_in[ip]) desc.append('3_5') conns_in[ic:ic] = conn mat_ids[ic:ic] = mat_id del(descs[ic]) descs[ic:ic] = desc conns, mat_ids, descs = split_by_mat_id(conns_in, mat_ids, descs) mesh._set_data(nod[:,:-1], nod[:,-1], conns, mat_ids, descs) return mesh def write(self, filename, mesh, out=None, **kwargs): fd = open(filename, 'w') coors = mesh.coors conns, desc = join_conn_groups(mesh.conns, mesh.descs, mesh.mat_ids, concat=True) n_nod, dim = coors.shape fd.write("MeshVersionFormatted 1\nDimension %d\n" % dim) fd.write("Vertices\n%d\n" % n_nod) format = self.get_vector_format(dim) + ' %d\n' for ii in range(n_nod): nn = tuple(coors[ii]) + (mesh.ngroups[ii],) fd.write(format % tuple(nn)) for ig, conn in enumerate(conns): if (desc[ig] == "1_1"): fd.write("Corners\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d\n" % nn[0]) elif (desc[ig] == "1_2"): fd.write("Edges\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d %d %d\n" % (nn[0], nn[1], nn[2] - 1)) elif (desc[ig] == "2_4"): fd.write("Quadrilaterals\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d %d %d %d %d\n" % (nn[0], nn[1], nn[2], nn[3], nn[4] - 1)) elif (desc[ig] == "2_3"): fd.write("Triangles\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d %d %d %d\n" % (nn[0], nn[1], nn[2], nn[3] - 1)) elif (desc[ig] == "3_4"): fd.write("Tetrahedra\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d %d %d %d %d\n" % (nn[0], nn[1], nn[2], nn[3], nn[4] - 1)) elif (desc[ig] == "3_8"): fd.write("Hexahedra\n%d\n" % conn.shape[0]) for ii in range(conn.shape[0]): nn = conn[ii] + 1 fd.write("%d %d %d %d %d %d %d %d %d\n" % (nn[0], nn[1], nn[2], nn[3], nn[4], nn[5], nn[6], nn[7], nn[8] - 1)) else: raise ValueError('unknown element type! (%s)' % desc[ig]) fd.close() if out is not None: for key, val in out.iteritems(): raise NotImplementedError vtk_header = r"""x vtk DataFile Version 2.0 step %d time %e normalized time %e, generated by %s ASCII DATASET UNSTRUCTURED_GRID """ vtk_cell_types = {'1_1' : 1, '1_2' : 3, '2_2' : 3, '3_2' : 3, '2_3' : 5, '2_4' : 9, '3_4' : 10, '3_8' : 12} vtk_dims = {1 : 1, 3 : 1, 5 : 2, 9 : 2, 10 : 3, 12 : 3} vtk_inverse_cell_types = {(3, 2) : '1_2', (5, 2) : '2_3', (8, 2) : '2_4', (9, 2) : '2_4', (3, 3) : '1_2', (10, 3) : '3_4', (11, 3) : '3_8', (12, 3) : '3_8' } vtk_remap = {8 : nm.array([0, 1, 3, 2], dtype=nm.int32), 11 : nm.array([0, 1, 3, 2, 4, 5, 7, 6], dtype=nm.int32)} vtk_remap_keys = vtk_remap.keys() class VTKMeshIO(MeshIO): format = 'vtk' def read_coors(self, ret_fd=False): fd = open(self.filename, 'r') while 1: line = skip_read_line(fd, no_eof=True).split() if line[0] == 'POINTS': n_nod = int(line[1]) coors = read_array(fd, n_nod, 3, nm.float64) break if ret_fd: return coors, fd else: fd.close() return coors def get_dimension(self, coors): dz = nm.diff(coors[:,2]) if nm.allclose(dz, 0.0): dim = 2 else: dim = 3 return dim def read_dimension(self, ret_fd=False): coors, fd = self.read_coors(ret_fd=True) dim = self.get_dimension(coors) if ret_fd: return dim, fd else: fd.close() return dim def read_bounding_box(self, ret_fd=False, ret_dim=False): coors, fd = self.read_coors(ret_fd=True) dim = self.get_dimension(coors) bbox = nm.vstack((nm.amin(coors[:,:dim], 0), nm.amax(coors[:,:dim], 0))) if ret_dim: if ret_fd: return bbox, dim, fd else: fd.close() return bbox, dim else: if ret_fd: return bbox, fd else: fd.close() return bbox def read(self, mesh, **kwargs): fd = open(self.filename, 'r') mode = 'header' mode_status = 0 coors = conns = desc = mat_id = node_grps = None finished = 0 while 1: line = skip_read_line(fd) if not line: break if mode == 'header': if mode_status == 0: if line.strip() == 'ASCII': mode_status = 1 elif mode_status == 1: if line.strip() == 'DATASET UNSTRUCTURED_GRID': mode_status = 0 mode = 'points' elif mode == 'points': line = line.split() if line[0] == 'POINTS': n_nod = int(line[1]) coors = read_array(fd, n_nod, 3, nm.float64) mode = 'cells' elif mode == 'cells': line = line.split() if line[0] == 'CELLS': n_el, n_val = map(int, line[1:3]) raw_conn = read_list(fd, n_val, int) mode = 'cell_types' elif mode == 'cell_types': line = line.split() if line[0] == 'CELL_TYPES': assert_(int(line[1]) == n_el) cell_types = read_array(fd, n_el, 1, nm.int32) mode = 'cp_data' elif mode == 'cp_data': line = line.split() if line[0] == 'CELL_DATA': assert_(int(line[1]) == n_el) mode_status = 1 mode = 'mat_id' elif line[0] == 'POINT_DATA': assert_(int(line[1]) == n_nod) mode_status = 1 mode = 'node_groups' elif mode == 'mat_id': if mode_status == 1: if 'SCALARS mat_id int' in line.strip(): mode_status = 2 elif mode_status == 2: if line.strip() == 'LOOKUP_TABLE default': mat_id = read_list(fd, n_el, int) mode_status = 0 mode = 'cp_data' finished += 1 elif mode == 'node_groups': if mode_status == 1: if 'SCALARS node_groups int' in line.strip(): mode_status = 2 elif mode_status == 2: if line.strip() == 'LOOKUP_TABLE default': node_grps = read_list(fd, n_nod, int) mode_status = 0 mode = 'cp_data' finished += 1 elif finished >= 2: break fd.close() if mat_id is None: mat_id = [[0]] * n_el else: if len(mat_id) < n_el: mat_id = [[ii] for jj in mat_id for ii in jj] if node_grps is None: node_grps = [0] * n_nod else: if len(node_grps) < n_nod: node_grps = [ii for jj in node_grps for ii in jj] dim = self.get_dimension(coors) if dim == 2: coors = coors[:,:2] coors = nm.ascontiguousarray(coors) cell_types = cell_types.squeeze() dconns = {} for iel, row in enumerate(raw_conn): ct = cell_types[iel] key = (ct, dim) if key not in vtk_inverse_cell_types: continue ct = vtk_inverse_cell_types[key] dconns.setdefault(key, []).append(row[1:] + mat_id[iel]) desc = [] conns = [] for key, conn in dconns.iteritems(): ct = key[0] sct = vtk_inverse_cell_types[key] desc.append(sct) aconn = nm.array(conn, dtype=nm.int32) if ct in vtk_remap_keys: # Remap pixels and voxels. aconn[:, :-1] = aconn[:, vtk_remap[ct]] conns.append(aconn) conns_in, mat_ids = sort_by_mat_id(conns) conns, mat_ids, descs = split_by_mat_id(conns_in, mat_ids, desc) mesh._set_data(coors, node_grps, conns, mat_ids, descs) return mesh def write(self, filename, mesh, out=None, ts=None, **kwargs): def _reshape_tensors(data, dim, sym, nc): if dim == 3: if nc == sym: aux = data[:, [0,3,4,3,1,5,4,5,2]] elif nc == (dim * dim): aux = data[:, [0,3,4,6,1,5,7,8,2]] else: aux = data.reshape((data.shape[0], dim*dim)) else: zz = nm.zeros((data.shape[0], 1), dtype=nm.float64) if nc == sym: aux = nm.c_[data[:,[0,2]], zz, data[:,[2,1]], zz, zz, zz, zz] elif nc == (dim * dim): aux = nm.c_[data[:,[0,2]], zz, data[:,[3,1]], zz, zz, zz, zz] else: aux = nm.c_[data[:,0,[0,1]], zz, data[:,1,[0,1]], zz, zz, zz, zz] return aux def _write_tensors(data): format = self.get_vector_format(3) format = '\n'.join([format] * 3) + '\n\n' for row in aux: fd.write(format % tuple(row)) if ts is None: step, time, nt = 0, 0.0, 0.0 else: step, time, nt = ts.step, ts.time, ts.nt fd = open(filename, 'w') fd.write(vtk_header % (step, time, nt, op.basename(sys.argv[0]))) n_nod, dim = mesh.coors.shape sym = dim * (dim + 1) / 2 fd.write('\nPOINTS %d float\n' % n_nod) aux = mesh.coors if dim < 3: aux = nm.hstack((aux, nm.zeros((aux.shape[0], 3 - dim), dtype=aux.dtype))) format = self.get_vector_format(3) + '\n' for row in aux: fd.write(format % tuple(row)) n_el, n_els, n_e_ps = mesh.n_el, mesh.n_els, mesh.n_e_ps total_size = nm.dot(n_els, n_e_ps + 1) fd.write('\nCELLS %d %d\n' % (n_el, total_size)) ct = [] for ig, conn in enumerate(mesh.conns): nn = n_e_ps[ig] + 1 ct += [vtk_cell_types[mesh.descs[ig]]] * n_els[ig] format = ' '.join(['%d'] * nn + ['\n']) for row in conn: fd.write(format % ((nn-1,) + tuple(row))) fd.write('\nCELL_TYPES %d\n' % n_el) fd.write(''.join(['%d\n' % ii for ii in ct])) fd.write('\nPOINT_DATA %d\n' % n_nod) # node groups fd.write('\nSCALARS node_groups int 1\nLOOKUP_TABLE default\n') fd.write(''.join(['%d\n' % ii for ii in mesh.ngroups])) if out is not None: point_keys = [key for key, val in out.iteritems() if val.mode == 'vertex'] else: point_keys = {} for key in point_keys: val = out[key] nr, nc = val.data.shape if nc == 1: fd.write('\nSCALARS %s float %d\n' % (key, nc)) fd.write('LOOKUP_TABLE default\n') format = self.float_format + '\n' for row in val.data: fd.write(format % row) elif nc == dim: fd.write('\nVECTORS %s float\n' % key) if dim == 2: aux = nm.hstack((val.data, nm.zeros((nr, 1), dtype=nm.float64))) else: aux = val.data format = self.get_vector_format(3) + '\n' for row in aux: fd.write(format % tuple(row)) elif (nc == sym) or (nc == (dim * dim)): fd.write('\nTENSORS %s float\n' % key) aux = _reshape_tensors(val.data, dim, sym, nc) _write_tensors(aux) else: raise NotImplementedError, nc if out is not None: cell_keys = [key for key, val in out.iteritems() if val.mode == 'cell'] else: cell_keys = {} fd.write('\nCELL_DATA %d\n' % n_el) # cells - mat_id fd.write('SCALARS mat_id int 1\nLOOKUP_TABLE default\n') aux = nm.hstack(mesh.mat_ids).tolist() fd.write(''.join(['%d\n' % ii for ii in aux])) for key in cell_keys: val = out[key] ne, aux, nr, nc = val.data.shape if (nr == 1) and (nc == 1): fd.write('\nSCALARS %s float %d\n' % (key, nc)) fd.write('LOOKUP_TABLE default\n') format = self.float_format + '\n' aux = val.data.squeeze() if len(aux.shape) == 0: fd.write(format % aux) else: for row in aux: fd.write(format % row) elif (nr == dim) and (nc == 1): fd.write('\nVECTORS %s float\n' % key) if dim == 2: aux = nm.hstack((val.data.squeeze(), nm.zeros((ne, 1), dtype=nm.float64))) else: aux = val.data format = self.get_vector_format(3) + '\n' for row in aux: fd.write(format % tuple(row.squeeze())) elif (((nr == sym) or (nr == (dim * dim))) and (nc == 1)) \ or ((nr == dim) and (nc == dim)): fd.write('\nTENSORS %s float\n' % key) data = val.data.squeeze() aux = _reshape_tensors(data, dim, sym, nr) _write_tensors(aux) else: raise NotImplementedError, (nr, nc) fd.close() # Mark the write finished. fd = open(filename, 'r+') fd.write('#') fd.close() def read_data(self, step, filename=None): """Point data only!""" filename = get_default(filename, self.filename) out = {} fd = open(self.filename, 'r') while 1: line = skip_read_line(fd, no_eof=True).split() if line[0] == 'POINT_DATA': break n_nod = int(line[1]) while 1: line = skip_read_line(fd) if not line: break line = line.split() if line[0] == 'SCALARS': name, dtype, nc = line[1:] assert_(int(nc) == 1) fd.readline() # skip lookup table line data = nm.zeros((n_nod,), dtype=nm.float64) ii = 0 while ii < n_nod: data[ii] = float(fd.readline()) ii += 1 out[name] = Struct(name=name, mode='vertex', data=data, dofs=None) elif line[0] == 'VECTORS': name, dtype = line[1:] data = [] ii = 0 while ii < n_nod: data.append([float(val) for val in fd.readline().split()]) ii += 1 out[name] = Struct(name=name, mode='vertex', data=nm.array(data, dtype=nm.float64), dofs=None) elif line[0] == 'CELL_DATA': break line = fd.readline() fd.close() return out class TetgenMeshIO(MeshIO): format = "tetgen" def read(self, mesh, **kwargs): import os fname = os.path.splitext(self.filename)[0] nodes = self.getnodes(fname+".node") etype, elements, regions = self.getele(fname+".ele") descs = [] conns = [] mat_ids = [] elements = nm.array(elements, dtype=nm.int32) - 1 for key, value in regions.iteritems(): descs.append(etype) mat_ids.append(nm.ones_like(value) * key) conns.append(elements[nm.array(value)-1].copy()) mesh._set_data(nodes, None, conns, mat_ids, descs) return mesh @staticmethod def getnodes(fnods): """ Reads t.1.nodes, returns a list of nodes. Example: >>> self.getnodes("t.1.node") [(0.0, 0.0, 0.0), (4.0, 0.0, 0.0), (0.0, 4.0, 0.0), (-4.0, 0.0, 0.0), (0.0, 0.0, 4.0), (0.0, -4.0, 0.0), (0.0, -0.0, -4.0), (-2.0, 0.0, -2.0), (-2.0, 2.0, 0.0), (0.0, 2.0, -2.0), (0.0, -2.0, -2.0), (2.0, 0.0, -2.0), (2.0, 2.0, 0.0), ... ] """ f = open(fnods) l = [int(x) for x in f.readline().split()] npoints, dim, nattrib, nbound = l if dim == 2: ndapp = [0.0] else: ndapp = [] nodes = [] for line in f: if line[0] == "#": continue l = [float(x) for x in line.split()] l = l[:(dim + 1)] assert_(int(l[0]) == len(nodes)+1) l = l[1:] nodes.append(tuple(l + ndapp)) assert_(npoints == len(nodes)) return nodes @staticmethod def getele(fele): """ Reads t.1.ele, returns a list of elements. Example: >>> elements, regions = self.getele("t.1.ele") >>> elements [(20, 154, 122, 258), (86, 186, 134, 238), (15, 309, 170, 310), (146, 229, 145, 285), (206, 207, 125, 211), (99, 193, 39, 194), (185, 197, 158, 225), (53, 76, 74, 6), (19, 138, 129, 313), (23, 60, 47, 96), (119, 321, 1, 329), (188, 296, 122, 322), (30, 255, 177, 256), ...] >>> regions {100: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 7, ...], ...} """ f = file(fele) l = [int(x) for x in f.readline().split()] ntetra,nnod,nattrib = l #we have either linear or quadratic tetrahedra: elem = None if nnod in [4,10]: elem = '3_4' linear = (nnod == 4) if nnod in [3, 7]: elem = '2_3' linear = (nnod == 3) if elem is None or not linear: raise ValueError("Only linear triangle and tetrahedra reader" " is implemented") els = [] regions = {} for line in f: if line[0] == "#": continue l = [int(x) for x in line.split()] if elem == '2_3': assert_((len(l) - 1 - nattrib) == 3) els.append((l[1],l[2],l[3])) if elem == '3_4': assert_((len(l) - 1 - nattrib) == 4) els.append((l[1],l[2],l[3],l[4])) if nattrib == 1: regionnum = l[-1] else: regionnum = 1 if regionnum == 0: msg = "see %s, element # %d\n"%(fele,l[0]) msg += "there are elements not belonging to any physical entity" raise ValueError(msg) if regions.has_key(regionnum): regions[regionnum].append(l[0]) else: regions[regionnum]=[l[0]] assert_(l[0] == len(els)) return elem, els, regions def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError def read_dimension(self): # TetGen only supports 3D mesh return 3 def read_bounding_box(self): raise NotImplementedError class ComsolMeshIO(MeshIO): format = 'comsol' def _read_commented_int(self): return int(skip_read_line(self.fd).split('#')[0]) def _skip_comment(self): read_token(self.fd) self.fd.readline() def read(self, mesh, **kwargs): self.fd = fd = open(self.filename, 'r') mode = 'header' coors = conns = None while 1: if mode == 'header': line = skip_read_line(fd) n_tags = self._read_commented_int() for ii in xrange(n_tags): skip_read_line(fd) n_types = self._read_commented_int() for ii in xrange(n_types): skip_read_line(fd) skip_read_line(fd) assert_(skip_read_line(fd).split()[1] == 'Mesh') skip_read_line(fd) dim = self._read_commented_int() assert_((dim == 2) or (dim == 3)) n_nod = self._read_commented_int() i0 = self._read_commented_int() mode = 'points' elif mode == 'points': self._skip_comment() coors = read_array(fd, n_nod, dim, nm.float64) mode = 'cells' elif mode == 'cells': n_types = self._read_commented_int() conns = [] descs = [] mat_ids = [] for it in xrange(n_types): t_name = skip_read_line(fd).split()[1] n_ep = self._read_commented_int() n_el = self._read_commented_int() self._skip_comment() aux = read_array(fd, n_el, n_ep, nm.int32) if t_name == 'tri': conns.append(aux) descs.append('2_3') is_conn = True elif t_name == 'quad': # Rearrange element node order to match SfePy. aux = aux[:,(0,1,3,2)] conns.append(aux) descs.append('2_4') is_conn = True elif t_name == 'hex': # Rearrange element node order to match SfePy. aux = aux[:,(0,1,3,2,4,5,7,6)] conns.append(aux) descs.append('3_8') is_conn = True elif t_name == 'tet': conns.append(aux) descs.append('3_4') is_conn = True else: is_conn = False # Skip parameters. n_pv = self._read_commented_int() n_par = self._read_commented_int() for ii in xrange(n_par): skip_read_line(fd) n_domain = self._read_commented_int() assert_(n_domain == n_el) if is_conn: self._skip_comment() mat_id = read_array(fd, n_domain, 1, nm.int32) mat_ids.append(mat_id) else: for ii in xrange(n_domain): skip_read_line(fd) # Skip up/down pairs. n_ud = self._read_commented_int() for ii in xrange(n_ud): skip_read_line(fd) break fd.close() self.fd = None conns2 = [] for ii, conn in enumerate(conns): conns2.append(nm.c_[conn, mat_ids[ii]]) conns_in, mat_ids = sort_by_mat_id(conns2) conns, mat_ids, descs = split_by_mat_id(conns_in, mat_ids, descs) mesh._set_data(coors, None, conns, mat_ids, descs) return mesh def write(self, filename, mesh, out=None, **kwargs): def write_elements(fd, ig, conn, mat_ids, type_name, npe, format, norder, nm_params): fd.write("# Type #%d\n\n" % ig) fd.write("%s # type name\n\n\n" % type_name) fd.write("%d # number of nodes per element\n" % npe) fd.write("%d # number of elements\n" % conn.shape[0]) fd.write("# Elements\n") for ii in range(conn.shape[0]): nn = conn[ii] # Zero based fd.write(format % tuple(nn[norder])) fd.write("\n%d # number of parameter values per element\n" % nm_params) # Top level always 0? fd.write("0 # number of parameters\n") fd.write("# Parameters\n\n") fd.write("%d # number of domains\n" % sum([mi.shape[0] for mi in mat_ids])) fd.write("# Domains\n") for mi in mat_ids: # Domains in comsol have to be > 0 if (mi <= 0).any(): mi += mi.min() + 1 for dom in mi: fd.write("%d\n" % abs(dom)) fd.write("\n0 # number of up/down pairs\n") fd.write("# Up/down\n") fd = open(filename, 'w') coors = mesh.coors conns, desc, mat_ids = join_conn_groups(mesh.conns, mesh.descs, mesh.mat_ids) n_nod, dim = coors.shape # Header fd.write("# Created by SfePy\n\n\n") fd.write("# Major & minor version\n") fd.write("0 1\n") fd.write("1 # number of tags\n") fd.write("# Tags\n") fd.write("2 m1\n") fd.write("1 # number of types\n") fd.write("# Types\n") fd.write("3 obj\n\n") # Record fd.write("# --------- Object 0 ----------\n\n") fd.write("0 0 1\n") # version unused serializable fd.write("4 Mesh # class\n") fd.write("1 # version\n") fd.write("%d # sdim\n" % dim) fd.write("%d # number of mesh points\n" % n_nod) fd.write("0 # lowest mesh point index\n\n") # Always zero in SfePy fd.write("# Mesh point coordinates\n") format = self.get_vector_format(dim) + '\n' for ii in range(n_nod): nn = tuple(coors[ii]) fd.write(format % tuple(nn)) fd.write("\n%d # number of element types\n\n\n" % len(conns)) for ig, conn in enumerate(conns): if (desc[ig] == "2_4"): write_elements(fd, ig, conn, mat_ids, "4 quad", 4, "%d %d %d %d\n", [0, 1, 3, 2], 8) elif (desc[ig] == "2_3"): # TODO: Verify number of parameters for tri element write_elements(fd, ig, conn, mat_ids, "3 tri", 3, "%d %d %d\n", [0, 1, 2], 4) elif (desc[ig] == "3_4"): # TODO: Verify number of parameters for tet element write_elements(fd, ig, conn, mat_ids, "3 tet", 4, "%d %d %d %d\n", [0, 1, 2, 3], 16) elif (desc[ig] == "3_8"): write_elements(fd, ig, conn, mat_ids, "3 hex", 8, "%d %d %d %d %d %d %d %d\n", [0, 1, 3, 2, 4, 5, 7, 6], 24) else: raise ValueError('unknown element type! (%s)' % desc[ig]) fd.close() if out is not None: for key, val in out.iteritems(): raise NotImplementedError class HDF5MeshIO(MeshIO): format = "hdf5" import string _all = ''.join(map(chr, range(256))) _letters = string.letters + string.digits + '_' _rubbish = ''.join([ch for ch in set(_all) - set(_letters)]) _tr = string.maketrans(_rubbish, '_' * len(_rubbish)) def read_bounding_box(self, ret_fd=False, ret_dim=False): fd = pt.openFile(self.filename, mode="r") mesh_group = fd.root.mesh coors = mesh_group.coors.read() bbox = nm.vstack((nm.amin(coors, 0), nm.amax(coors, 0))) if ret_dim: dim = coors.shape[1] if ret_fd: return bbox, dim, fd else: fd.close() return bbox, dim else: if ret_fd: return bbox, fd else: fd.close() return bbox def read(self, mesh, **kwargs): fd = pt.openFile(self.filename, mode="r") mesh_group = fd.root.mesh mesh.name = mesh_group.name.read() coors = mesh_group.coors.read() ngroups = mesh_group.ngroups.read() n_gr = mesh_group.n_gr.read() conns = [] descs = [] mat_ids = [] for ig in xrange(n_gr): gr_name = 'group%d' % ig group = mesh_group._f_getChild(gr_name) conns.append(group.conn.read()) mat_ids.append(group.mat_id.read()) descs.append(group.desc.read()) nodal_bcs = {} try: node_sets_groups = mesh_group.node_sets except: pass else: for group in node_sets_groups: key = group.key.read() nods = group.nods.read() nodal_bcs[key] = nods fd.close() mesh._set_data(coors, ngroups, conns, mat_ids, descs, nodal_bcs=nodal_bcs) return mesh def write(self, filename, mesh, out=None, ts=None, **kwargs): from time import asctime if pt is None: raise ValueError('pytables not imported!') step = get_default_attr(ts, 'step', 0) if step == 0: # A new file. fd = pt.openFile(filename, mode="w", title="SfePy output file") mesh_group = fd.createGroup('/', 'mesh', 'mesh') fd.createArray(mesh_group, 'name', mesh.name, 'name') fd.createArray(mesh_group, 'coors', mesh.coors, 'coors') fd.createArray(mesh_group, 'ngroups', mesh.ngroups, 'ngroups') fd.createArray(mesh_group, 'n_gr', len(mesh.conns), 'n_gr') for ig, conn in enumerate(mesh.conns): conn_group = fd.createGroup(mesh_group, 'group%d' % ig, 'connectivity group') fd.createArray(conn_group, 'conn', conn, 'connectivity') fd.createArray(conn_group, 'mat_id', mesh.mat_ids[ig], 'material id') fd.createArray(conn_group, 'desc', mesh.descs[ig], 'element Type') node_sets_groups = fd.createGroup(mesh_group, 'node_sets', 'node sets groups') ii = 0 for key, nods in mesh.nodal_bcs.iteritems(): group = fd.createGroup(node_sets_groups, 'group%d' % ii, 'node sets group') fd.createArray(group, 'key', key, 'key') fd.createArray(group, 'nods', nods, 'nods') ii += 1 if ts is not None: ts_group = fd.createGroup('/', 'ts', 'time stepper') fd.createArray(ts_group, 't0', ts.t0, 'initial time') fd.createArray(ts_group, 't1', ts.t1, 'final time' ) fd.createArray(ts_group, 'dt', ts.dt, 'time step') fd.createArray(ts_group, 'n_step', ts.n_step, 'n_step') tstat_group = fd.createGroup('/', 'tstat', 'global time statistics') fd.createArray(tstat_group, 'created', asctime(), 'file creation time') fd.createArray(tstat_group, 'finished', '.' * 24, 'file closing time') fd.createArray(fd.root, 'last_step', nm.array([0], dtype=nm.int32), 'last saved step') fd.close() if out is not None: if ts is None: step, time, nt = 0, 0.0, 0.0 else: step, time, nt = ts.step, ts.time, ts.nt # Existing file. fd = pt.openFile(filename, mode="r+") step_group = fd.createGroup('/', 'step%d' % step, 'time step data') ts_group = fd.createGroup(step_group, 'ts', 'time stepper') fd.createArray(ts_group, 'step', step, 'step') fd.createArray(ts_group, 't', time, 'time') fd.createArray(ts_group, 'nt', nt, 'normalized time') name_dict = {} for key, val in out.iteritems(): shape = val.get('shape', val.data.shape) dofs = val.get('dofs', None) if dofs is None: dofs = [''] * nm.squeeze(shape)[-1] var_name = val.get('var_name', '') name = val.get('name', 'output_data') group_name = '__' + key.translate(self._tr) data_group = fd.createGroup(step_group, group_name, '%s data' % key) fd.createArray(data_group, 'data', val.data, 'data') fd.createArray(data_group, 'mode', val.mode, 'mode') fd.createArray(data_group, 'dofs', dofs, 'dofs') fd.createArray(data_group, 'shape', shape, 'shape') fd.createArray(data_group, 'name', name, 'object name') fd.createArray(data_group, 'var_name', var_name, 'object parent name') fd.createArray(data_group, 'dname', key, 'data name') if val.mode == 'full': fd.createArray(data_group, 'field_name', val.field_name, 'field name') name_dict[key] = group_name step_group._v_attrs.name_dict = name_dict fd.root.last_step[0] = step fd.removeNode(fd.root.tstat.finished) fd.createArray(fd.root.tstat, 'finished', asctime(), 'file closing time') fd.close() def read_last_step(self, filename=None): filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode="r") last_step = fd.root.last_step[0] fd.close() return last_step def read_time_stepper(self, filename=None): filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode="r") try: ts_group = fd.root.ts out = (ts_group.t0.read(), ts_group.t1.read(), ts_group.dt.read(), ts_group.n_step.read()) except: raise ValueError('no time stepper found!') finally: fd.close() return out def read_times(self, filename=None): """ Read true time step data from individual time steps. Returns ------- steps : array The time steps. times : array The times of the time steps. nts : array The normalized times of the time steps, in [0, 1]. """ filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode='r') steps = sorted(int(name[4:]) for name in fd.root._v_groups.keys() if name.startswith('step')) times = [] nts = [] for step in steps: ts_group = fd.getNode(fd.root, 'step%d/ts' % step) times.append(ts_group.t.read()) nts.append(ts_group.nt.read()) fd.close() steps = nm.asarray(steps, dtype=nm.int32) times = nm.asarray(times, dtype=nm.float64) nts = nm.asarray(nts, dtype=nm.float64) return steps, times, nts def _get_step_group(self, step, filename=None): filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode="r") gr_name = 'step%d' % step try: step_group = fd.getNode(fd.root, gr_name) except: output('step %d data not found - premature end of file?' % step) fd.close() return None, None return fd, step_group def read_data(self, step, filename=None): fd, step_group = self._get_step_group(step, filename=filename) if fd is None: return None out = {} for data_group in step_group: try: key = data_group.dname.read() except pt.exceptions.NoSuchNodeError: continue name = data_group.name.read() mode = data_group.mode.read() data = data_group.data.read() dofs = tuple(data_group.dofs.read()) try: shape = tuple(data_group.shape.read()) except pt.exceptions.NoSuchNodeError: shape = data.shape if mode == 'full': field_name = data_group.field_name.read() else: field_name = None out[key] = Struct(name=name, mode=mode, data=data, dofs=dofs, shape=shape, field_name=field_name) if out[key].dofs == (-1,): out[key].dofs = None fd.close() return out def read_data_header(self, dname, step=0, filename=None): fd, step_group = self._get_step_group(step, filename=filename) if fd is None: return None groups = step_group._v_groups for name, data_group in groups.iteritems(): try: key = data_group.dname.read() except pt.exceptions.NoSuchNodeError: continue if key == dname: mode = data_group.mode.read() fd.close() return mode, name fd.close() raise KeyError('non-existent data: %s' % dname) def read_time_history(self, node_name, indx, filename=None): filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode="r") th = dict_from_keys_init(indx, list) for step in xrange(fd.root.last_step[0] + 1): gr_name = 'step%d' % step step_group = fd.getNode(fd.root, gr_name) data = step_group._f_getChild(node_name).data for ii in indx: th[ii].append(nm.array(data[ii])) fd.close() for key, val in th.iteritems(): aux = nm.array(val) if aux.ndim == 4: # cell data. aux = aux[:,0,:,0] th[key] = aux return th def read_variables_time_history(self, var_names, ts, filename=None): filename = get_default(filename, self.filename) fd = pt.openFile(filename, mode="r") assert_((fd.root.last_step[0] + 1) == ts.n_step) ths = dict_from_keys_init(var_names, list) arr = nm.asarray for step in xrange(ts.n_step): gr_name = 'step%d' % step step_group = fd.getNode(fd.root, gr_name) name_dict = step_group._v_attrs.name_dict for var_name in var_names: data = step_group._f_getChild(name_dict[var_name]).data ths[var_name].append(arr(data.read())) fd.close() return ths class MEDMeshIO(MeshIO): format = "med" def read(self, mesh, **kwargs): fd = pt.openFile(self.filename, mode="r") mesh_root = fd.root.ENS_MAA #TODO: Loop through multiple meshes? mesh_group = mesh_root._f_getChild(mesh_root._v_groups.keys()[0]) if not ('NOE' in mesh_group._v_groups.keys()): mesh_group = mesh_group._f_getChild(mesh_group._v_groups.keys()[0]) mesh.name = mesh_group._v_name aux_coors = mesh_group.NOE.COO.read() n_nodes = mesh_group.NOE.COO.getAttr('NBR') # Unflatten the node coordinate array dim = aux_coors.shape[0] / n_nodes coors = nm.zeros((n_nodes,dim), dtype=nm.float64) for ii in range(dim): coors[:,ii] = aux_coors[n_nodes*ii:n_nodes*(ii+1)] ngroups = mesh_group.NOE.FAM.read() assert_((ngroups >= 0).all()) # Dict to map MED element names to SfePy descs #NOTE: The commented lines are elements which # produce KeyError in SfePy med_descs = { 'TE4' : '3_4', #'T10' : '3_10', #'PY5' : '3_5', #'P13' : '3_13', 'HE8' : '3_8', #'H20' : '3_20', #'PE6' : '3_6', #'P15' : '3_15', #TODO: Polyhedrons (POE) - need special handling 'TR3' : '2_3', #'TR6' : '2_6', 'QU4' : '2_4', #'QU8' : '2_8', #TODO: Polygons (POG) - need special handling #'SE2' : '1_2', #'SE3' : '1_3', } conns = [] descs = [] mat_ids = [] for md, desc in med_descs.iteritems(): if int(desc[0]) != dim: continue try: group = mesh_group.MAI._f_getChild(md) aux_conn = group.NOD.read() n_conns = group.NOD.getAttr('NBR') # (0 based indexing in numpy vs. 1 based in MED) nne = aux_conn.shape[0] / n_conns conn = nm.zeros((n_conns,nne), dtype=nm.int32) for ii in range(nne): conn[:,ii] = aux_conn[n_conns*ii:n_conns*(ii+1)] - 1 conns.append(conn) mat_id = group.FAM.read() assert_((mat_id <= 0).all()) mat_id = nm.abs(mat_id) mat_ids.append(mat_id) descs.append(med_descs[md]) except pt.exceptions.NoSuchNodeError: pass fd.close() mesh._set_data(coors, ngroups, conns, mat_ids, descs) return mesh class Mesh3DMeshIO(MeshIO): format = "mesh3d" def read(self, mesh, **kwargs): f = open(self.filename) # read the whole file: vertices = self._read_section(f, integer=False) tetras = self._read_section(f) hexes = self._read_section(f) prisms = self._read_section(f) tris = self._read_section(f) quads = self._read_section(f) # substract 1 from all elements, because we count from 0: conns = [] mat_ids = [] descs = [] if len(tetras) > 0: conns.append(tetras - 1) mat_ids.append([0]*len(tetras)) descs.append("3_4") if len(hexes) > 0: conns.append(hexes - 1) mat_ids.append([0]*len(hexes)) descs.append("3_8") mesh._set_data(vertices, None, conns, mat_ids, descs) return mesh def read_dimension(self): return 3 def _read_line(self, f): """ Reads one non empty line (if it's a comment, it skips it). """ l = f.readline().strip() while l == "" or l[0] == "#": # comment or an empty line l = f.readline().strip() return l def _read_section(self, f, integer=True): """ Reads one section from the mesh3d file. integer ... if True, all numbers are passed to int(), otherwise to float(), before returning Some examples how a section can look like: 2 1 2 5 4 7 8 11 10 2 3 6 5 8 9 12 11 or 5 1 2 3 4 1 1 2 6 5 1 2 3 7 6 1 3 4 8 7 1 4 1 5 8 1 or 0 """ if integer: dtype=int else: dtype=float l = self._read_line(f) N = int(l) rows = [] for i in range(N): l = self._read_line(f) row = nm.fromstring(l, sep=" ", dtype=dtype) rows.append(row) return nm.array(rows) def mesh_from_groups(mesh, ids, coors, ngroups, tris, mat_tris, quads, mat_quads, tetras, mat_tetras, hexas, mat_hexas, remap=None): ids = nm.asarray(ids, dtype=nm.int32) coors = nm.asarray(coors, dtype=nm.float64) if remap is None: n_nod = coors.shape[0] remap = nm.zeros((ids.max()+1,), dtype=nm.int32) remap[ids] = nm.arange(n_nod, dtype=nm.int32) tris = remap[nm.array(tris, dtype=nm.int32)] quads = remap[nm.array(quads, dtype=nm.int32)] tetras = remap[nm.array(tetras, dtype=nm.int32)] hexas = remap[nm.array(hexas, dtype=nm.int32)] conns = [tris, quads, tetras, hexas] mat_ids = [nm.array(ar, dtype=nm.int32) for ar in [mat_tris, mat_quads, mat_tetras, mat_hexas]] descs = ['2_3', '2_4', '3_4', '3_8'] conns, mat_ids = sort_by_mat_id2(conns, mat_ids) conns, mat_ids, descs = split_by_mat_id(conns, mat_ids, descs) mesh._set_data(coors, ngroups, conns, mat_ids, descs) return mesh class AVSUCDMeshIO(MeshIO): format = 'avs_ucd' @staticmethod def guess(filename): return True def read(self, mesh, **kwargs): fd = open(self.filename, 'r') # Skip all comments. while 1: line = fd.readline() if line and (line[0] != '#'): break header = [int(ii) for ii in line.split()] n_nod, n_el = header[0:2] ids = nm.zeros((n_nod,), dtype=nm.int32) dim = 3 coors = nm.zeros((n_nod, dim), dtype=nm.float64) for ii in xrange(n_nod): line = fd.readline().split() ids[ii] = int(line[0]) coors[ii] = [float(coor) for coor in line[1:]] mat_tetras = [] tetras = [] mat_hexas = [] hexas = [] for ii in xrange(n_el): line = fd.readline().split() if line[2] == 'tet': mat_tetras.append(int(line[1])) tetras.append([int(ic) for ic in line[3:]]) elif line[2] == 'hex': mat_hexas.append(int(line[1])) hexas.append([int(ic) for ic in line[3:]]) fd.close() mesh = mesh_from_groups(mesh, ids, coors, None, [], [], [], [], tetras, mat_tetras, hexas, mat_hexas) return mesh def read_dimension(self): return 3 def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError class HypermeshAsciiMeshIO(MeshIO): format = 'hmascii' def read(self, mesh, **kwargs): fd = open(self.filename, 'r') ids = [] coors = [] tetras = [] mat_tetras = [] hexas = [] mat_hexas = [] quads = [] mat_quads = [] trias = [] mat_trias = [] mat_id = 0 for line in fd: if line and (line[0] == '*'): if line[1:10] == 'component': line = line.strip()[11:-1].split(',') mat_id = int(line[0]) if line[1:5] == 'node': line = line.strip()[6:-1].split(',') ids.append(int(line[0])) coors.append([float(coor) for coor in line[1:4]]) elif line[1:7] == 'tetra4': line = line.strip()[8:-1].split(',') mat_tetras.append(mat_id) tetras.append([int(ic) for ic in line[2:6]]) elif line[1:6] == 'hexa8': line = line.strip()[7:-1].split(',') mat_hexas.append(mat_id) hexas.append([int(ic) for ic in line[2:10]]) elif line[1:6] == 'quad4': line = line.strip()[7:-1].split(',') mat_quads.append(mat_id) quads.append([int(ic) for ic in line[2:6]]) elif line[1:6] == 'tria3': line = line.strip()[7:-1].split(',') mat_trias.append(mat_id) trias.append([int(ic) for ic in line[2:5]]) fd.close() mesh = mesh_from_groups(mesh, ids, coors, None, trias, mat_trias, quads, mat_quads, tetras, mat_tetras, hexas, mat_hexas) return mesh def read_dimension(self): return 3 def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError class AbaqusMeshIO(MeshIO): format = 'abaqus' @staticmethod def guess(filename): ok = False fd = open(filename, 'r') for ii in xrange(100): try: line = fd.readline().strip().split(',') except: break if line[0].lower() == '*node': ok = True break fd.close() return ok def read(self, mesh, **kwargs): fd = open(self.filename, 'r') ids = [] coors = [] tetras = [] mat_tetras = [] hexas = [] mat_hexas = [] tris = [] mat_tris = [] quads = [] mat_quads = [] nsets = {} ing = 1 dim = 0 line = fd.readline().split(',') while 1: if not line[0]: break token = line[0].strip().lower() if token == '*node': while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break if dim == 0: dim = len(line) - 1 ids.append(int(line[0])) if dim == 2: coors.append([float(coor) for coor in line[1:3]]) else: coors.append([float(coor) for coor in line[1:4]]) elif token == '*element': if line[1].find('C3D8') >= 0: while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break mat_hexas.append(0) hexas.append([int(ic) for ic in line[1:9]]) elif line[1].find('C3D4') >= 0: while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break mat_tetras.append(0) tetras.append([int(ic) for ic in line[1:5]]) elif line[1].find('CPS') >= 0 or line[1].find('CPE') >= 0: if line[1].find('4') >= 0: while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break mat_quads.append(0) quads.append([int(ic) for ic in line[1:5]]) elif line[1].find('3') >= 0: while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break mat_tris.append(0) tris.append([int(ic) for ic in line[1:4]]) else: raise ValueError('unknown element type! (%s)' % line[1]) else: raise ValueError('unknown element type! (%s)' % line[1]) elif token == '*nset': if line[-1].strip().lower() == 'generate': line = fd.readline() continue while 1: line = fd.readline().strip().split(',') if (not line[0]) or (line[0][0] == '*'): break if not line[-1]: line = line[:-1] aux = [int(ic) for ic in line] nsets.setdefault(ing, []).extend(aux) ing += 1 else: line = fd.readline().split(',') fd.close() ngroups = nm.zeros((len(coors),), dtype=nm.int32) for ing, ii in nsets.iteritems(): ngroups[nm.array(ii)-1] = ing mesh = mesh_from_groups(mesh, ids, coors, ngroups, tris, mat_tris, quads, mat_quads, tetras, mat_tetras, hexas, mat_hexas) return mesh def read_dimension(self): fd = open(self.filename, 'r') line = fd.readline().split(',') while 1: if not line[0]: break token = line[0].strip().lower() if token == '*node': while 1: line = fd.readline().split(',') if (not line[0]) or (line[0][0] == '*'): break dim = len(line) - 1 fd.close() return dim def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError class BDFMeshIO(MeshIO): format = 'nastran' def read_dimension(self, ret_fd=False): fd = open(self.filename, 'r') el3d = 0 while 1: try: line = fd.readline() except: output("reading " + fd.name + " failed!") raise if len(line) == 1: continue if line[0] == '$': continue aux = line.split() if aux[0] == 'CHEXA': el3d += 1 elif aux[0] == 'CTETRA': el3d += 1 if el3d > 0: dim = 3 else: dim = 2 if ret_fd: return dim, fd else: fd.close() return dim def read(self, mesh, **kwargs): def mfloat(s): if len(s) > 3: if s[-3] == '-': return float(s[:-3]+'e'+s[-3:]) return float(s) import string fd = open(self.filename, 'r') el = {'3_8' : [], '3_4' : [], '2_4' : [], '2_3' : []} nod = [] cmd = '' dim = 2 conns_in = [] descs = [] node_grp = None while 1: try: line = fd.readline() except EOFError: break except: output("reading " + fd.name + " failed!") raise if (len(line) == 0): break if len(line) < 4: continue if line[0] == '$': continue row = line.strip().split() if row[0] == 'GRID': cs = line.strip()[-24:] aux = [ cs[0:8], cs[8:16], cs[16:24] ] nod.append([mfloat(ii) for ii in aux]); elif row[0] == 'GRID*': aux = row[1:4]; cmd = 'GRIDX'; elif row[0] == 'CHEXA': aux = [int(ii)-1 for ii in row[3:9]] aux2 = int(row[2]) aux3 = row[9] cmd ='CHEXAX' elif row[0] == 'CTETRA': aux = [int(ii)-1 for ii in row[3:]] aux.append(int(row[2])) el['3_4'].append(aux) dim = 3 elif row[0] == 'CQUAD4': aux = [int(ii)-1 for ii in row[3:]] aux.append(int(row[2])) el['2_4'].append(aux) elif row[0] == 'CTRIA3': aux = [int(ii)-1 for ii in row[3:]] aux.append(int(row[2])) el['2_3'].append(aux) elif cmd == 'GRIDX': cmd = '' aux2 = row[1] if aux2[-1] == '0': aux2 = aux2[:-1] aux3 = aux[1:] aux3.append(aux2) nod.append([float(ii) for ii in aux3]); elif cmd == 'CHEXAX': cmd = '' aux4 = row[0] aux5 = string.find(aux4, aux3) aux.append(int(aux4[(aux5+len(aux3)):])-1) aux.extend([int(ii)-1 for ii in row[1:]]) aux.append(aux2) el['3_8'].append(aux) dim = 3 elif row[0] == 'SPC' or row[0] == 'SPC*': if node_grp is None: node_grp = [0] * len(nod) node_grp[int(row[2]) - 1] = int(row[1]) for elem in el.keys(): if len(el[elem]) > 0: conns_in.append(el[elem]) descs.append(elem) fd.close() nod = nm.array(nod, nm.float64) if dim == 2: nod = nod[:,:2].copy() conns_in = nm.array(conns_in, nm.int32) conns_in, mat_ids = sort_by_mat_id(conns_in) conns, mat_ids, descs = split_by_mat_id(conns_in, mat_ids, descs) mesh._set_data(nod, node_grp, conns, mat_ids, descs) return mesh @staticmethod def format_str(str, idx, n=8): out = '' for ii, istr in enumerate(str): aux = '%d' % istr out += aux + ' ' * (n - len(aux)) if ii == 7: out += '+%07d\n+%07d' % (idx, idx) return out def write(self, filename, mesh, out=None, **kwargs): fd = open(filename, 'w') coors = mesh.coors conns, desc = join_conn_groups(mesh.conns, mesh.descs, mesh.mat_ids, concat=True) n_nod, dim = coors.shape fd.write("$NASTRAN Bulk Data File created by SfePy\n") fd.write("$\nBEGIN BULK\n") fd.write("$\n$ ELEMENT CONNECTIVITY\n$\n") iel = 0 mats = {} for ig, conn in enumerate(conns): for ii in range(conn.shape[0]): iel += 1 nn = conn[ii][:-1] + 1 mat = conn[ii][-1] if mat in mats: mats[mat] += 1 else: mats[mat] = 0 if (desc[ig] == "2_4"): fd.write("CQUAD4 %s\n" %\ self.format_str([ii + 1, mat, nn[0], nn[1], nn[2], nn[3]], iel)) elif (desc[ig] == "2_3"): fd.write("CTRIA3 %s\n" %\ self.format_str([ii + 1, mat, nn[0], nn[1], nn[2]], iel)) elif (desc[ig] == "3_4"): fd.write("CTETRA %s\n" %\ self.format_str([ii + 1, mat, nn[0], nn[1], nn[2], nn[3]], iel)) elif (desc[ig] == "3_8"): fd.write("CHEXA %s\n" %\ self.format_str([ii + 1, mat, nn[0], nn[1], nn[2], nn[3], nn[4], nn[5], nn[6], nn[7]], iel)) else: raise ValueError('unknown element type! (%s)' % desc[ig]) fd.write("$\n$ NODAL COORDINATES\n$\n") format = 'GRID* %s % 08E % 08E\n' if coors.shape[1] == 3: format += '* % 08E0 \n' else: format += '* % 08E0 \n' % 0.0 for ii in range(n_nod): sii = str(ii + 1) fd.write(format % ((sii + ' ' * (8 - len(sii)),) + tuple(coors[ii]))) fd.write("$\n$ GEOMETRY\n$\n1 ") fd.write("0.000000E+00 0.000000E+00\n") fd.write("* 0.000000E+00 0.000000E+00\n* \n") fd.write("$\n$ MATERIALS\n$\n") matkeys = mats.keys() matkeys.sort() for ii, imat in enumerate(matkeys): fd.write("$ material%d : Isotropic\n" % imat) aux = str(imat) fd.write("MAT1* %s " % (aux + ' ' * (8 - len(aux)))) fd.write("0.000000E+00 0.000000E+00\n") fd.write("* 0.000000E+00 0.000000E+00\n") fd.write("$\n$ GEOMETRY\n$\n") for ii, imat in enumerate(matkeys): fd.write("$ material%d : solid%d\n" % (imat, imat)) fd.write("PSOLID* %s\n" % self.format_str([ii + 1, imat], 0, 16)) fd.write("* \n") fd.write("ENDDATA\n") fd.close() class NEUMeshIO(MeshIO): format = 'gambit' def read_dimension(self, ret_fd=False): fd = open(self.filename, 'r') row = fd.readline().split() while 1: if not row: break if len(row) == 0: continue if (row[0] == 'NUMNP'): row = fd.readline().split() n_nod, n_el, dim = row[0], row[1], int(row[4]) break; if ret_fd: return dim, fd else: fd.close() return dim def read(self, mesh, **kwargs): el = {'3_8' : [], '3_4' : [], '2_4' : [], '2_3' : []} nod = [] conns_in = [] descs = [] group_ids = [] group_n_els = [] groups = [] nodal_bcs = {} fd = open(self.filename, 'r') row = fd.readline().split() while 1: if not row: break if len(row) == 0: continue if (row[0] == 'NUMNP'): row = fd.readline().split() n_nod, n_el, dim = row[0], row[1], int(row[4]) elif (row[0] == 'NODAL'): row = fd.readline().split() while not(row[0] == 'ENDOFSECTION'): nod.append(row[1:]) row = fd.readline().split() elif (row[0] == 'ELEMENTS/CELLS'): row = fd.readline().split() while not(row[0] == 'ENDOFSECTION'): elid = [row[0]] gtype = int(row[1]) if gtype == 6: el['3_4'].append(row[3:]+elid) elif gtype == 4: rr = row[3:] if (len(rr) < 8): rr.extend(fd.readline().split()) el['3_8'].append(rr+elid) elif gtype == 3: el['2_3'].append(row[3:]+elid) elif gtype == 2: el['2_4'].append(row[3:]+elid) row = fd.readline().split() elif (row[0] == 'GROUP:'): group_ids.append(row[1]) g_n_el = int(row[3]) group_n_els.append(g_n_el) name = fd.readline().strip() els = [] row = fd.readline().split() row = fd.readline().split() while not(row[0] == 'ENDOFSECTION'): els.extend(row) row = fd.readline().split() if g_n_el != len(els): msg = 'wrong number of group elements! (%d == %d)'\ % (n_el, len(els)) raise ValueError(msg) groups.append(els) elif (row[0] == 'BOUNDARY'): row = fd.readline().split() key = row[0] num = int(row[2]) inod = read_array(fd, num, None, nm.int32) - 1 nodal_bcs[key] = inod.squeeze() row = fd.readline().split() assert_(row[0] == 'ENDOFSECTION') else: row = fd.readline().split() fd.close() if int(n_el) != sum(group_n_els): print 'wrong total number of group elements! (%d == %d)'\ % (int(n_el), len(group_n_els)) mat_ids = [None] * int(n_el) for ii, els in enumerate(groups): for iel in els: mat_ids[int(iel) - 1] = group_ids[ii] for elem in el.keys(): if len(el[elem]) > 0: for iel in el[elem]: for ii in range(len(iel)): iel[ii] = int(iel[ii]) - 1 iel[-1] = mat_ids[iel[-1]] conns_in.append(el[elem]) descs.append(elem) nod = nm.array(nod, nm.float64) conns_in = nm.array(conns_in, nm.int32) conns_in, mat_ids = sort_by_mat_id(conns_in) conns, mat_ids, descs = split_by_mat_id(conns_in, mat_ids, descs) mesh._set_data(nod, None, conns, mat_ids, descs, nodal_bcs=nodal_bcs) return mesh def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError class ANSYSCDBMeshIO(MeshIO): format = 'ansys_cdb' @staticmethod def guess(filename): fd = open(filename, 'r') for ii in xrange(1000): row = fd.readline() if not row: break if len(row) == 0: continue row = row.split(',') kw = row[0].lower() if (kw == 'nblock'): ok = True break else: ok = False fd.close() return ok @staticmethod def make_format(format): idx = []; dtype = []; start = 0; for iform in format: ret = iform.partition('i') if not ret[1]: ret = iform.partition('e') if not ret[1]: raise ValueError aux = ret[2].partition('.') step = int(aux[0]) for j in range(int(ret[0])): idx.append((start, start+step)) start += step dtype.append(ret[1]) return idx, dtype def write(self, filename, mesh, out=None, **kwargs): raise NotImplementedError def read_bounding_box(self): raise NotImplementedError def read_dimension(self, ret_fd=False): return 3 def read(self, mesh, **kwargs): ids = [] coors = [] tetras = [] hexas = [] qtetras = [] qhexas = [] nodal_bcs = {} fd = open(self.filename, 'r') while True: row = fd.readline() if not row: break if len(row) == 0: continue row = row.split(',') kw = row[0].lower() if (kw == 'nblock'): # Solid keyword -> 3, otherwise 1 is the starting coors index. ic = 3 if len(row) == 3 else 1 fmt = fd.readline() fmt = fmt.strip()[1:-1].split(',') idx, dtype = self.make_format(fmt) ii0, ii1 = idx[0] while True: row = fd.readline() if (row[0] == '!') or (row[:2] == '-1'): break line = [float(row[i0:i1]) for i0, i1 in idx[ic:]] ids.append(int(row[ii0:ii1])) coors.append(line) elif (kw == 'eblock'): if (len(row) <= 2) or row[2] != 'solid': # no solid keyword continue fmt = fd.readline() fmt = [fmt.strip()[1:-1]] idx, dtype = self.make_format(fmt) imi0, imi1 = idx[0] # Material id. inn0, inn1 = idx[8] # Number of nodes in line. ien0, ien1 = idx[10] # Element number. ic0 = 11 while True: row = fd.readline() if (row[0] == '!') or (row[:2] == '-1'): break line = [int(row[imi0:imi1])] n_nod = int(row[inn0:inn1]) line.extend(int(row[i0:i1]) for i0, i1 in idx[ic0 : ic0 + n_nod]) if n_nod == 4: tetras.append(line) elif n_nod == 8: hexas.append(line) elif n_nod == 10: row = fd.readline() line.extend(int(row[i0:i1]) for i0, i1 in idx[:2]) qtetras.append(line) elif n_nod == 20: row = fd.readline() line.extend(int(row[i0:i1]) for i0, i1 in idx[:12]) qhexas.append(line) else: raise ValueError('unsupported element type! (%d nodes)' % n_nod) elif kw == 'cmblock': if row[2].lower() != 'node': # Only node sets support. continue n_nod = int(row[3]) fd.readline() # Format line not needed. nods = read_array(fd, n_nod, 1, nm.int32) nodal_bcs[row[1].strip()] = nods.ravel() fd.close() coors = nm.array(coors, dtype=nm.float64) tetras = nm.array(tetras, dtype=nm.int32) if len(tetras): mat_ids_tetras = tetras[:, 0] tetras = tetras[:, 1:] else: mat_ids_tetras = nm.array([]) hexas = nm.array(hexas, dtype=nm.int32) if len(hexas): mat_ids_hexas = hexas[:, 0] hexas = hexas[:, 1:] else: mat_ids_hexas = nm.array([]) if len(qtetras): qtetras = nm.array(qtetras, dtype=nm.int32) tetras.shape = (max(0, tetras.shape[0]), 4) tetras = nm.r_[tetras, qtetras[:, 1:5]] mat_ids_tetras = nm.r_[mat_ids_tetras, qtetras[:, 0]] if len(qhexas): qhexas = nm.array(qhexas, dtype=nm.int32) hexas.shape = (max(0, hexas.shape[0]), 8) hexas = nm.r_[hexas, qhexas[:, 1:9]] mat_ids_hexas = nm.r_[mat_ids_hexas, qhexas[:, 0]] if len(qtetras) or len(qhexas): ii = nm.union1d(tetras.ravel(), hexas.ravel()) n_nod = len(ii) remap = nm.zeros((ii.max()+1,), dtype=nm.int32) remap[ii] = nm.arange(n_nod, dtype=nm.int32) ic = nm.searchsorted(ids, ii) coors = coors[ic] else: n_nod = coors.shape[0] remap = nm.zeros((nm.array(ids).max() + 1,), dtype=nm.int32) remap[ids] = nm.arange(n_nod, dtype=nm.int32) ngroups = nm.zeros(len(coors), dtype=nm.int32) mesh = mesh_from_groups(mesh, ids, coors, ngroups, [], [], [], [], tetras, mat_ids_tetras, hexas, mat_ids_hexas, remap=remap) mesh.nodal_bcs = {} for key, nods in nodal_bcs.iteritems(): mesh.nodal_bcs[key] = remap[nods] return mesh def guess_format(filename, ext, formats, io_table): """ Guess the format of filename, candidates are in formats. """ ok = False for format in formats: output('guessing %s' % format) try: ok = io_table[format].guess(filename) except AttributeError: pass if ok: break else: raise NotImplementedError('cannot guess format of a *%s file!' % ext) return format var_dict = vars().items() io_table = {} for key, var in var_dict: try: if is_derived_class(var, MeshIO): io_table[var.format] = var except TypeError: pass del var_dict def any_from_filename(filename, prefix_dir=None): """ Create a MeshIO instance according to the kind of `filename`. Parameters ---------- filename : str, function or MeshIO subclass instance The name of the mesh file. It can be also a user-supplied function accepting two arguments: `mesh`, `mode`, where `mesh` is a Mesh instance and `mode` is one of 'read','write', or a MeshIO subclass instance. prefix_dir : str The directory name to prepend to `filename`. Returns ------- io : MeshIO subclass instance The MeshIO subclass instance corresponding to the kind of `filename`. """ if not isinstance(filename, basestr): if isinstance(filename, MeshIO): return filename else: return UserMeshIO(filename) ext = op.splitext(filename)[1].lower() try: format = supported_formats[ext] except KeyError: raise ValueError('unsupported mesh file suffix! (%s)' % ext) if isinstance(format, tuple): format = guess_format(filename, ext, format, io_table) if prefix_dir is not None: filename = op.normpath(op.join(prefix_dir, filename)) return io_table[format](filename) insert_static_method(MeshIO, any_from_filename) del any_from_filename def for_format(filename, format=None, writable=False, prefix_dir=None): """ Create a MeshIO instance for file `filename` with forced `format`. Parameters ---------- filename : str The name of the mesh file. format : str One of supported formats. If None, :func:`MeshIO.any_from_filename()` is called instead. writable : bool If True, verify that the mesh format is writable. prefix_dir : str The directory name to prepend to `filename`. Returns ------- io : MeshIO subclass instance The MeshIO subclass instance corresponding to the `format`. """ ext = op.splitext(filename)[1].lower() try: _format = supported_formats[ext] except KeyError: _format = None format = get_default(format, _format) if format is None: io = MeshIO.any_from_filename(filename, prefix_dir=prefix_dir) else: if not isinstance(format, basestr): raise ValueError('ambigous suffix! (%s -> %s)' % (ext, format)) if format not in io_table: raise ValueError('unknown output mesh format! (%s)' % format) if writable and ('w' not in supported_capabilities[format]): output_writable_meshes() msg = 'write support not implemented for output mesh format "%s",' \ ' see above!' % format raise ValueError(msg) if prefix_dir is not None: filename = op.normpath(op.join(prefix_dir, filename)) io = io_table[format](filename) return io insert_static_method(MeshIO, for_format) del for_format sfepy-release_2015.1/sfepy/discrete/fem/periodic.py000066400000000000000000000053111247364230400223040ustar00rootroot00000000000000import numpy as nm from sfepy.discrete.fem.mesh import find_map ## # c: 05.05.2008, r: 05.05.2008 eps = 1e-12 def set_accuracy( eps ): globals()['eps'] = eps ## # c: 18.10.2006, r: 05.05.2008 def match_grid_line( coor1, coor2, which ): """ Match coordinates `coor1` with `coor2` along the axis `which`. """ if coor1.shape != coor2.shape: raise ValueError, 'incompatible shapes: %s == %s'\ % ( coor1.shape, coor2.shape) c1 = coor1[:,which] c2 = coor2[:,which] i1 = nm.argsort( c1 ) i2 = nm.argsort( c2 ) if not nm.all( nm.abs(c1[i1] - c2[i2]) < eps ): print c1[i1] print c2[i2] print nm.abs(c1[i1] - c2[i2]).max() raise ValueError('cannot match nodes!') return i1, i2 ## # 18.10.2006, c # last revision: 18.10.2006 def match_x_line( coor1, coor2 ): return match_grid_line( coor1, coor2, 0 ) def match_y_line( coor1, coor2 ): return match_grid_line( coor1, coor2, 1 ) def match_z_line( coor1, coor2 ): return match_grid_line( coor1, coor2, 2 ) ## # 01.06.2007, c # last revision: 01.06.2007 def match_grid_plane( coor1, coor2, which ): """ Match coordinates `coor1` with `coor2` along the plane with normal axis `which`. """ if coor1.shape != coor2.shape: raise ValueError, 'incompatible shapes: %s == %s'\ % ( coor1.shape, coor2.shape) offset = coor1[0,which] - coor2[0,which] aux = coor2.copy() aux[:,which] += offset i1, i2 = find_map( coor1, aux, join = False ) if i1.shape[0] != coor1.shape[0]: print coor1[i1] print coor2[i2] print nm.abs(coor1[i1] - coor2[i2]).max(0) ii = nm.setdiff1d(nm.arange(coor1.shape[0]), i1) print coor1[ii] print coor2[ii] raise ValueError('cannot match nodes!') return i1, i2 ## # 01.06.2007, c # last revision: 01.06.2007 def match_x_plane( coor1, coor2 ): return match_grid_plane( coor1, coor2, 0 ) def match_y_plane( coor1, coor2 ): return match_grid_plane( coor1, coor2, 1 ) def match_z_plane( coor1, coor2 ): return match_grid_plane( coor1, coor2, 2 ) def match_coors(coors1, coors2): """ Match coordinates `coors1` with `coors2`. """ if coors1.shape != coors2.shape: raise ValueError('incompatible shapes: %s == %s' % (coors1.shape, coors2.shape)) i1, i2 = find_map(coors1, coors2, join=False) if i1.shape[0] != coors1.shape[0]: print coors1[i1] print coors2[i2] print nm.abs(coors1[i1] - coors2[i2]).max(0) ii = nm.setdiff1d(nm.arange(coors1.shape[0]), i1) print coors1[ii] print coors2[ii] raise ValueError('cannot match nodes!') return i1, i2 sfepy-release_2015.1/sfepy/discrete/fem/poly_spaces.py000066400000000000000000000714521247364230400230400ustar00rootroot00000000000000import numpy as nm import numpy.linalg as nla from sfepy.base.base import find_subclasses, assert_, Struct from sfepy.linalg import combine, insert_strided_axis # Requires fixed vertex numbering! vertex_maps = {3 : [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0], [0, 0, 1], [1, 0, 1], [1, 1, 1], [0, 1, 1]], 2 : [[0, 0], [1, 0], [1, 1], [0, 1]], 1 : [[0], [1]]} class LagrangeNodes(Struct): """Helper class for defining nodes of Lagrange elements.""" @staticmethod def append_edges(nodes, nts, iseq, nt, edges, order): delta = 1.0 / float(order) for ii, edge in enumerate(edges): n1 = nodes[edge[0],:].copy() n2 = nodes[edge[1],:].copy() for ie in range(order - 1): c2 = ie + 1 c1 = order - c2 nts[iseq] = [nt, ii] aux = [int(round(tmp)) for tmp in delta * (c1 * n1 + c2 * n2)] nodes[iseq,:] = aux iseq += 1 return iseq @staticmethod def append_faces(nodes, nts, iseq, nt, faces, order): delta = 1.0 / float(order) for ii, face in enumerate(faces): n1 = nodes[face[0],:].copy() n2 = nodes[face[1],:].copy() n3 = nodes[face[2],:].copy() for i1 in range(order - 2): for i2 in range(order - 2 - i1): c3 = i1 + 1 c2 = i2 + 1 c1 = order - c3 - c2 nts[iseq] = [nt, ii] aux = [int(round(tmp)) for tmp in delta * (c1 * n1 + c2 * n2 + c3 * n3)] nodes[iseq,:] = aux iseq += 1 return iseq @staticmethod def append_bubbles(nodes, nts, iseq, nt, order): delta = 1.0 / float(order) n1 = nodes[0,:].copy() n2 = nodes[1,:].copy() n3 = nodes[2,:].copy() n4 = nodes[3,:].copy() for i1 in range(order - 3): for i2 in range(order - 3): for i3 in range(order - 3 - i1 - i2): c4 = i1 + 1 c3 = i2 + 1 c2 = i3 + 1 c1 = order - c4 - c3 - c2 nts[iseq] = [nt, 0] aux = [int(round(tmp)) for tmp in delta * (c1 * n1 + c2 * n2 + c3 * n3 + c4 * n4)] nodes[iseq,:] = aux iseq += 1 return iseq @staticmethod def append_tp_edges(nodes, nts, iseq, nt, edges, ao): delta = 1.0 / float(ao) for ii, edge in enumerate(edges): n1 = nodes[edge[0],:].copy() n2 = nodes[edge[1],:].copy() for ie in range(ao - 1): c2 = ie + 1 c1 = ao - c2 nts[iseq] = [nt, ii] aux = [int(round(tmp)) for tmp in delta * (c1 * n1 + c2 * n2)] nodes[iseq,:] = aux iseq += 1 return iseq @staticmethod def append_tp_faces(nodes, nts, iseq, nt, faces, ao): delta = 1.0 / (float(ao) ** 2) for ii, face in enumerate( faces ): n1 = nodes[face[0],:].copy() n2 = nodes[face[1],:].copy() n3 = nodes[face[2],:].copy() n4 = nodes[face[3],:].copy() for i1 in range(ao - 1): for i2 in range(ao - 1): c4 = i1 + 1 c3 = i2 + 1 c2 = ao - c4 c1 = ao - c3 nts[iseq] = [nt, ii] aux = [int(round(tmp)) for tmp in delta * (c1 * c2 * n1 + c2 * c3 * n2 + c3 * c4 * n3 + c4 * c1 * n4)] nodes[iseq,:] = aux iseq += 1 return iseq @staticmethod def append_tp_bubbles(nodes, nts, iseq, nt, ao): delta = 1.0 / (float(ao) ** 3) n1 = nodes[0,:].copy() n2 = nodes[1,:].copy() n3 = nodes[2,:].copy() n4 = nodes[3,:].copy() n5 = nodes[4,:].copy() n6 = nodes[5,:].copy() n7 = nodes[6,:].copy() n8 = nodes[7,:].copy() for i1 in range(ao - 1): for i2 in range(ao - 1): for i3 in range(ao - 1): c6 = i1 + 1 c5 = i2 + 1 c4 = i3 + 1 c3 = ao - c6 c2 = ao - c5 c1 = ao - c4 nts[iseq] = [nt, 0] aux = [int(round(tmp)) for tmp in delta * (c1 * c2 * c3 * n1 + c4 * c2 * c3 * n2 + c5 * c4 * c3 * n3 + c1 * c3 * c5 * n4 + c1 * c2 * c6 * n5 + c4 * c2 * c6 * n6 + c5 * c4 * c6 * n7 + c1 * c6 * c5 * n8)] nodes[iseq,:] = aux iseq += 1 return iseq class NodeDescription(Struct): """ Describe FE nodes defined on different parts of a reference element. """ def _describe_facets(self, ii): nts = self.node_types[ii] ik = nm.where(nts[1:,1] > nts[:-1,1])[0] if len(ik) == 0: ifacets = None n_dof = 0 else: ii = ii.astype(nm.int32) ik = nm.r_[0, ik + 1, nts.shape[0]] ifacets = [ii[ik[ir] : ik[ir+1]] for ir in range(len(ik) - 1)] n_dof = len(ifacets[0]) return ifacets, n_dof def _describe_other(self, ii): if len(ii): return ii, len(ii) else: return None, 0 def _get_facet_nodes(self, ifacets, nodes): if ifacets is None: return None else: return [nodes[ii] for ii in ifacets] def _get_nodes(self, ii, nodes): if ii is None: return None else: return nodes[ii] def __init__(self, node_types, nodes): self.node_types = node_types # Vertex nodes. ii = nm.where(node_types[:,0] == 0)[0] self.vertex, self.n_vertex_nod = self._describe_other(ii) self.vertex_nodes = self._get_nodes(self.vertex, nodes) # Edge nodes. ii = nm.where(node_types[:,0] == 1)[0] self.edge, self.n_edge_nod = self._describe_facets(ii) self.edge_nodes = self._get_facet_nodes(self.edge, nodes) # Face nodes. ii = nm.where(node_types[:,0] == 2)[0] self.face, self.n_face_nod = self._describe_facets(ii) self.face_nodes = self._get_facet_nodes(self.face, nodes) # Bubble nodes. ii = nm.where(node_types[:,0] == 3)[0] self.bubble, self.n_bubble_nod = self._describe_other(ii) self.bubble_nodes = self._get_nodes(self.bubble, nodes) def has_extra_nodes(self): """ Return True if the element has some edge, face or bubble nodes. """ return (self.n_edge_nod + self.n_face_nod + self.n_bubble_nod) > 0 class PolySpace(Struct): """Abstract polynomial space class.""" _all = None keys = { (1, 2) : 'simplex', (2, 3) : 'simplex', (3, 4) : 'simplex', (2, 4) : 'tensor_product', (3, 8) : 'tensor_product', } @staticmethod def any_from_args(name, geometry, order, base='lagrange', force_bubble=False): """ Construct a particular polynomial space classes according to the arguments passed in. """ if name is None: name = PolySpace.suggest_name(geometry, order, base, force_bubble) if PolySpace._all is None: PolySpace._all = find_subclasses(globals(), [PolySpace]) table = PolySpace._all key = '%s_%s' % (base, PolySpace.keys[(geometry.dim, geometry.n_vertex)]) if (geometry.name == '1_2') and (key not in table): key = '%s_%s' % (base, 'tensor_product') if force_bubble: key += '_bubble' return table[key](name, geometry, order) @staticmethod def suggest_name(geometry, order, base='lagrange', force_bubble=False): """ Suggest the polynomial space name given its constructor parameters. """ aux = geometry.get_interpolation_name()[:-1] if force_bubble: return aux + ('%dB' % order) else: return aux + ('%d' % order) def __init__(self, name, geometry, order): self.name = name self.geometry = geometry self.order = order self.bbox = nm.vstack((geometry.coors.min(0), geometry.coors.max(0))) def eval_base(self, coors, diff=False, ori=None, force_axis=False, suppress_errors=False, eps=1e-15): """ Evaluate the basis in points given by coordinates. The real work is done in _eval_base() implemented in subclasses. Parameters ---------- coors : array_like The coordinates of points where the basis is evaluated. See Notes. diff : bool If True, return the first derivative. ori : array_like, optional Optional orientation of element facets for per element basis. force_axis : bool If True, force the resulting array shape to have one more axis even when `ori` is None. suppress_errors : bool If True, do not report points outside the reference domain. eps : float Accuracy for comparing coordinates. Returns ------- base : array The basis (shape (n_coor, 1, n_base)) or its derivative (shape (n_coor, dim, n_base)) evaluated in the given points. An additional axis is pre-pended of length n_cell, if `ori` is given, or of length 1, if `force_axis` is True. Notes ----- If coors.ndim == 3, several point sets are assumed, with equal number of points in each of them. This is the case, for example, of the values of the volume base functions on the element facets. The indexing (of bf_b(g)) is then (ifa,iqp,:,n_ep), so that the facet can be set in C using FMF_SetCell. """ coors = nm.asarray(coors) if not coors.ndim in (2, 3): raise ValueError('coordinates must have 2 or 3 dimensions! (%d)' % coors.ndim) if (coors.ndim == 2): base = self._eval_base(coors, diff=diff, ori=ori, suppress_errors=suppress_errors, eps=eps) if (base.ndim == 3) and force_axis: base = base[None, ...] if not base.flags['C_CONTIGUOUS']: base = nm.ascontiguousarray(base) else: # Several point sets. if diff: bdim = self.geometry.dim else: bdim = 1 base = nm.empty((coors.shape[0], coors.shape[1], bdim, self.n_nod), dtype=nm.float64) for ii, _coors in enumerate(coors): base[ii] = self._eval_base(_coors, diff=diff, ori=ori, suppress_errors=suppress_errors, eps=eps) return base def get_mtx_i(self): return self.mtx_i def describe_nodes(self): return NodeDescription(self.nts, self.nodes) class LagrangeSimplexPolySpace(PolySpace): """Lagrange polynomial space on a simplex domain.""" name = 'lagrange_simplex' def __init__(self, name, geometry, order): PolySpace.__init__(self, name, geometry, order) n_v = geometry.n_vertex mtx = nm.ones((n_v, n_v), nm.float64) mtx[0:n_v-1,:] = nm.transpose(geometry.coors) self.mtx_i = nm.ascontiguousarray(nla.inv(mtx)) self.rhs = nm.ones((n_v,), nm.float64) self.nodes, self.nts, node_coors = self._define_nodes() self.node_coors = nm.ascontiguousarray(node_coors) self.n_nod = self.nodes.shape[0] def _define_nodes(self): # Factorial. fac = lambda n : reduce(lambda a, b : a * (b + 1), xrange(n), 1) geometry = self.geometry n_v, dim = geometry.n_vertex, geometry.dim order = self.order n_nod = fac(order + dim) / (fac(order) * fac(dim)) ## print n_nod, gd nodes = nm.zeros((n_nod, n_v), nm.int32) nts = nm.zeros((n_nod, 2), nm.int32) if order == 0: nts[0,:] = [3, 0] nodes[0,:] = nm.zeros((n_v,), nm.int32) else: iseq = 0 # Vertex nodes. nts[0:n_v,0] = 0 nts[0:n_v,1] = nm.arange(n_v, dtype = nm.int32) aux = order * nm.identity(n_v, dtype = nm.int32) nodes[iseq:iseq+n_v,:] = aux iseq += n_v if dim == 1: iseq = LagrangeNodes.append_edges(nodes, nts, iseq, 3, [[0, 1]], order) elif dim == 2: iseq = LagrangeNodes.append_edges(nodes, nts, iseq, 1, geometry.edges, order) iseq = LagrangeNodes.append_faces(nodes, nts, iseq, 3, [[0, 1, 2]], order) elif dim == 3: iseq = LagrangeNodes.append_edges(nodes, nts, iseq, 1, geometry.edges, order) iseq = LagrangeNodes.append_faces(nodes, nts, iseq, 2, geometry.faces, order) iseq = LagrangeNodes.append_bubbles(nodes, nts, iseq, 3, order) else: raise NotImplementedError ## print nm.concatenate((nts, nodes), 1) # Check orders. orders = nm.sum(nodes, 1) if not nm.all(orders == order): raise AssertionError('wrong orders! (%d == all of %s)' % (order, orders)) # Coordinates of the nodes. if order == 0: tmp = nm.ones((n_nod, n_v), nm.int32) node_coors = nm.dot(tmp, geometry.coors) / n_v else: node_coors = nm.dot(nodes, geometry.coors) / order return nodes, nts, node_coors def _eval_base(self, coors, diff=False, ori=None, suppress_errors=False, eps=1e-15): """See PolySpace.eval_base().""" from extmods.bases import eval_lagrange_simplex base = eval_lagrange_simplex(coors, self.mtx_i, self.nodes, self.order, diff, eps, not suppress_errors) return base class LagrangeSimplexBPolySpace(LagrangeSimplexPolySpace): """Lagrange polynomial space with forced bubble function on a simplex domain.""" name = 'lagrange_simplex_bubble' def __init__(self, name, geometry, order): LagrangeSimplexPolySpace.__init__(self, name, geometry, order) nodes, nts, node_coors = self.nodes, self.nts, self.node_coors shape = [nts.shape[0] + 1, 2] nts = nm.resize(nts, shape) nts[-1,:] = [3, 0] shape = [nodes.shape[0] + 1, nodes.shape[1]] nodes = nm.resize(nodes, shape) # Make a 'hypercubic' (cubic in 2D) node. nodes[-1,:] = 1 n_v = self.geometry.n_vertex tmp = nm.ones((n_v,), nm.int32) node_coors = nm.vstack((node_coors, nm.dot(tmp, self.geometry.coors) / n_v)) self.nodes, self.nts = nodes, nts self.node_coors = nm.ascontiguousarray(node_coors) self.bnode = nodes[-1:,:] self.n_nod = self.nodes.shape[0] def _eval_base(self, coors, diff=False, ori=None, suppress_errors=False, eps=1e-15): """See PolySpace.eval_base().""" from extmods.bases import eval_lagrange_simplex base = eval_lagrange_simplex(coors, self.mtx_i, self.nodes[:-1], self.order, diff, eps, not suppress_errors) bubble = eval_lagrange_simplex(coors, self.mtx_i, self.bnode, int(self.bnode.sum()), diff, eps, not suppress_errors) base -= bubble / (self.n_nod - 1) base = nm.ascontiguousarray(nm.dstack((base, bubble))) return base class LagrangeTensorProductPolySpace(PolySpace): """Lagrange polynomial space on a tensor product domain.""" name = 'lagrange_tensor_product' def __init__(self, name, geometry, order): PolySpace.__init__(self, name, geometry, order) g1d = Struct(n_vertex = 2, dim = 1, coors = self.bbox[:,0:1]) self.ps1d = LagrangeSimplexPolySpace('P_aux', g1d, order) self.nodes, self.nts, node_coors = self._define_nodes() self.node_coors = nm.ascontiguousarray(node_coors) self.n_nod = self.nodes.shape[0] def _define_nodes(self): geometry = self.geometry order = self.order n_v, dim = geometry.n_vertex, geometry.dim vertex_map = order * nm.array(vertex_maps[dim], dtype=nm.int32) n_nod = (order + 1) ** dim nodes = nm.zeros((n_nod, 2 * dim), nm.int32) nts = nm.zeros((n_nod, 2), nm.int32) if order == 0: nts[0,:] = [3, 0] nodes[0,:] = nm.zeros((n_nod,), nm.int32) else: iseq = 0 # Vertex nodes. nts[0:n_v,0] = 0 nts[0:n_v,1] = nm.arange( n_v, dtype = nm.int32 ) order * nm.identity( n_v, dtype = nm.int32 ) if dim == 3: for ii in range(n_v): i1, i2, i3 = vertex_map[ii] nodes[iseq,:] = [order - i1, i1, order - i2, i2, order - i3, i3] iseq += 1 elif dim == 2: for ii in range(n_v): i1, i2 = vertex_map[ii] nodes[iseq,:] = [order - i1, i1, order - i2, i2] iseq += 1 else: for ii in range(n_v): i1 = vertex_map[ii][0] nodes[iseq,:] = [order - i1, i1] iseq += 1 if dim == 1: iseq = LagrangeNodes.append_tp_edges(nodes, nts, iseq, 3, [[0, 1]], order) elif dim == 2: iseq = LagrangeNodes.append_tp_edges(nodes, nts, iseq, 1, geometry.edges, order) iseq = LagrangeNodes.append_tp_faces(nodes, nts, iseq, 3, [[0, 1, 2, 3]], order) elif dim == 3: iseq = LagrangeNodes.append_tp_edges(nodes, nts, iseq, 1, geometry.edges, order) iseq = LagrangeNodes.append_tp_faces(nodes, nts, iseq, 2, geometry.faces, order) iseq = LagrangeNodes.append_tp_bubbles(nodes, nts, iseq, 3, order) else: raise NotImplementedError # Check orders. orders = nm.sum(nodes, 1) if not nm.all(orders == order * dim): raise AssertionError('wrong orders! (%d == all of %s)' % (order * dim, orders)) # Coordinates of the nodes. if order == 0: tmp = nm.ones((n_nod, n_v), nm.int32) node_coors = nm.dot(tmp, geometry.coors) / n_v else: c_min, c_max = self.bbox[:,0] cr = nm.arange(2 * dim) node_coors = (nodes[:,cr[::2]] * c_min + nodes[:,cr[1::2]] * c_max) / order return nodes, nts, node_coors def _eval_base_debug(self, coors, diff=False, ori=None, suppress_errors=False, eps=1e-15): """Python version of eval_base().""" dim = self.geometry.dim ev = self.ps1d.eval_base if diff: base = nm.ones((coors.shape[0], dim, self.n_nod), dtype=nm.float64) for ii in xrange(dim): self.ps1d.nodes = self.nodes[:,2*ii:2*ii+2].copy() self.ps1d.n_nod = self.n_nod for iv in xrange(dim): if ii == iv: base[:,iv:iv+1,:] *= ev(coors[:,ii:ii+1].copy(), diff=True, suppress_errors=suppress_errors, eps=eps) else: base[:,iv:iv+1,:] *= ev(coors[:,ii:ii+1].copy(), diff=False, suppress_errors=suppress_errors, eps=eps) else: base = nm.ones((coors.shape[0], 1, self.n_nod), dtype=nm.float64) for ii in xrange(dim): self.ps1d.nodes = self.nodes[:,2*ii:2*ii+2].copy() self.ps1d.n_nod = self.n_nod base *= ev(coors[:,ii:ii+1].copy(), diff=diff, suppress_errors=suppress_errors, eps=eps) return base def _eval_base(self, coors, diff=False, ori=None, suppress_errors=False, eps=1e-15): """See PolySpace.eval_base().""" from extmods.bases import eval_lagrange_tensor_product as ev ps1d = self.ps1d base = ev(coors, ps1d.mtx_i, self.nodes, self.order, diff, eps, not suppress_errors) return base def get_mtx_i(self): return self.ps1d.mtx_i class LobattoTensorProductPolySpace(PolySpace): """ Hierarchical polynomial space using Lobatto functions. Each row of the `nodes` attribute defines indices of Lobatto functions that need to be multiplied together to evaluate the corresponding shape function. This defines the ordering of basis functions on the reference element. """ name = 'lobatto_tensor_product' def __init__(self, name, geometry, order): PolySpace.__init__(self, name, geometry, order) aux = self._define_nodes() self.nodes, self.nts, node_coors, self.face_axes, self.sfnodes = aux self.node_coors = nm.ascontiguousarray(node_coors) self.n_nod = self.nodes.shape[0] aux = nm.where(self.nodes > 0, self.nodes, 1) self.node_orders = nm.prod(aux, axis=1) self.edge_indx = nm.where(self.nts[:, 0] == 1)[0] self.face_indx = nm.where(self.nts[:, 0] == 2)[0] self.face_axes_nodes = self._get_face_axes_nodes(self.face_axes) def _get_counts(self): order = self.order dim = self.geometry.dim n_nod = (order + 1) ** dim n_per_edge = (order - 1) n_per_face = (order - 1) ** (dim - 1) n_bubble = (order - 1) ** dim return n_nod, n_per_edge, n_per_face, n_bubble def _define_nodes(self): geometry = self.geometry order = self.order n_v, dim = geometry.n_vertex, geometry.dim n_nod, n_per_edge, n_per_face, n_bubble = self._get_counts() nodes = nm.zeros((n_nod, dim), nm.int32) nts = nm.zeros((n_nod, 2), nm.int32) # Vertex nodes. nts[0:n_v, 0] = 0 nts[0:n_v, 1] = nm.arange(n_v, dtype=nm.int32) nodes[0:n_v] = nm.array(vertex_maps[dim], dtype=nm.int32) ii = n_v # Edge nodes. if (dim > 1) and (n_per_edge > 0): ik = nm.arange(2, order + 1, dtype=nm.int32) zo = nm.zeros((n_per_edge, 2), dtype=nm.int32) zo[:, 1] = 1 for ie, edge in enumerate(geometry.edges): n1, n2 = nodes[edge] ifix = nm.where(n1 == n2)[0] irun = nm.where(n1 != n2)[0][0] ic = n1[ifix] nodes[ii:ii + n_per_edge, ifix] = zo[:, ic] nodes[ii:ii + n_per_edge, irun] = ik nts[ii:ii + n_per_edge] = [[1, ie]] ii += n_per_edge # 3D face nodes. face_axes = [] sfnodes = None if (dim == 3) and (n_per_face > 0): n_face = len(geometry.faces) sfnodes = nm.zeros((n_per_face * n_face, dim), nm.int32) ii0 = ii ik = nm.arange(2, order + 1, dtype=nm.int32) zo = nm.zeros((n_per_face, 2), dtype=nm.int32) zo[:, 1] = 1 for ifa, face in enumerate(geometry.faces): ns = nodes[face] diff = nm.diff(ns, axis=0) asum = nm.abs(diff).sum(axis=0) ifix = nm.where(asum == 0)[0][0] ic = ns[0, ifix] irun1 = nm.where(asum == 2)[0][0] irun2 = nm.where(asum == 1)[0][0] iy, ix = nm.meshgrid(ik, ik) nodes[ii:ii + n_per_face, ifix] = zo[:, ic] nodes[ii:ii + n_per_face, irun1] = ix.ravel() nodes[ii:ii + n_per_face, irun2] = iy.ravel() nts[ii:ii + n_per_face] = [[2, ifa]] ij = ii - ii0 sfnodes[ij:ij + n_per_face, ifix] = zo[:, ic] sfnodes[ij:ij + n_per_face, irun1] = iy.ravel() sfnodes[ij:ij + n_per_face, irun2] = ix.ravel() face_axes.append([irun1, irun2]) ii += n_per_face face_axes = nm.array(face_axes) # Bubble nodes. if n_bubble > 0: ik = nm.arange(2, order + 1, dtype=nm.int32) nodes[ii:] = nm.array([aux for aux in combine([ik] * dim)]) nts[ii:ii + n_bubble] = [[3, 0]] ii += n_bubble assert_(ii == n_nod) # Coordinates of the "nodes". All nodes on a facet have the same # coordinates - the centre of the facet. c_min, c_max = self.bbox[:, 0] node_coors = nm.zeros(nodes.shape, dtype=nm.float64) node_coors[:n_v] = nodes[:n_v] if (dim > 1) and (n_per_edge > 0): ie = nm.where(nts[:, 0] == 1)[0] node_coors[ie] = node_coors[geometry.edges[nts[ie, 1]]].mean(1) if (dim == 3) and (n_per_face > 0): ifa = nm.where(nts[:, 0] == 2)[0] node_coors[ifa] = node_coors[geometry.faces[nts[ifa, 1]]].mean(1) if n_bubble > 0: ib = nm.where(nts[:, 0] == 3)[0] node_coors[ib] = node_coors[geometry.conn].mean(0) return nodes, nts, node_coors, face_axes, sfnodes def _get_face_axes_nodes(self, face_axes): if not len(face_axes): return None nodes = self.nodes[self.face_indx] n_per_face = self._get_counts()[2] anodes = nm.tile(nodes[:n_per_face, face_axes[0]], (6, 1)) return anodes def _eval_base(self, coors, diff=False, ori=None, suppress_errors=False, eps=1e-15): """ See PolySpace.eval_base(). """ from extmods.lobatto_bases import eval_lobatto_tensor_product as ev c_min, c_max = self.bbox[:, 0] base = ev(coors, self.nodes, c_min, c_max, self.order, diff) if ori is not None: ebase = nm.tile(base, (ori.shape[0], 1, 1, 1)) if self.edge_indx.shape[0]: # Orient edge functions. ie, ii = nm.where(ori[:, self.edge_indx] == 1) ii = self.edge_indx[ii] ebase[ie, :, :, ii] *= -1.0 if self.face_indx.shape[0]: # Orient face functions. fori = ori[:, self.face_indx] # ... normal axis order ie, ii = nm.where((fori == 1) | (fori == 2)) ii = self.face_indx[ii] ebase[ie, :, :, ii] *= -1.0 # ... swapped axis order sbase = ev(coors, self.sfnodes, c_min, c_max, self.order, diff) sbase = insert_strided_axis(sbase, 0, ori.shape[0]) # ...overwrite with swapped axes basis. ie, ii = nm.where(fori >= 4) ii2 = self.face_indx[ii] ebase[ie, :, :, ii2] = sbase[ie, :, :, ii] # ...deal with orientation. ie, ii = nm.where((fori == 5) | (fori == 6)) ii = self.face_indx[ii] ebase[ie, :, :, ii] *= -1.0 base = ebase return base sfepy-release_2015.1/sfepy/discrete/fem/refine.py000066400000000000000000000227641247364230400217710ustar00rootroot00000000000000""" Basic uniform mesh refinement functions. """ import numpy as nm from sfepy.discrete.fem import Mesh def refine_2_3(mesh_in, cmesh): """ Refines mesh out of triangles by cutting cutting each edge in half and making 4 new finer triangles out of one coarser one. """ # Unique edge centres. e_centres = cmesh.get_centroids(cmesh.dim - 1) # New coordinates after the original ones. coors = nm.r_[mesh_in.coors, e_centres] o1 = mesh_in.n_nod cc = cmesh.get_conn(cmesh.dim, cmesh.dim - 1) offs = cc.offsets conns = [] mat_ids = [] for ig, conn in enumerate(mesh_in.conns): off0, off1 = mesh_in.el_offsets[ig : ig + 2] n_el = conn.shape[0] e_nodes = cc.indices[offs[off0]:offs[off1]].reshape((n_el, 3)) + o1 c = nm.c_[conn, e_nodes].T new_conn = nm.vstack([c[0], c[3], c[5], c[3], c[4], c[5], c[1], c[4], c[3], c[2], c[5], c[4]]).T new_conn = new_conn.reshape((4 * n_el, 3)) conns.append(new_conn) new_mat_id = mesh_in.mat_ids[ig].repeat(4) mat_ids.append(new_mat_id) mesh = Mesh.from_data(mesh_in.name + '_r', coors, None, conns, mat_ids, mesh_in.descs ) return mesh def refine_2_4(mesh_in, cmesh): """ Refines mesh out of quadrilaterals by cutting cutting each edge in half and making 4 new finer quadrilaterals out of one coarser one. """ # Unique edge centres. e_centres = cmesh.get_centroids(cmesh.dim - 1) # Unique element centres. centres = cmesh.get_centroids(cmesh.dim) # New coordinates after the original ones. coors = nm.r_[mesh_in.coors, e_centres, centres] o1 = mesh_in.n_nod o2 = o1 + e_centres.shape[0] cc = cmesh.get_conn(cmesh.dim, cmesh.dim - 1) offs = cc.offsets conns = [] mat_ids = [] for ig, conn in enumerate(mesh_in.conns): off0, off1 = mesh_in.el_offsets[ig : ig + 2] n_el = conn.shape[0] e_nodes = cc.indices[offs[off0]:offs[off1]].reshape((n_el, 4)) + o1 nodes = nm.arange(n_el) + off0 + o2 c = nm.c_[conn, e_nodes, nodes].T new_conn = nm.vstack([c[0], c[4], c[8], c[7], c[1], c[5], c[8], c[4], c[2], c[6], c[8], c[5], c[3], c[7], c[8], c[6]]).T new_conn = new_conn.reshape((4 * n_el, 4)) conns.append(new_conn) new_mat_id = mesh_in.mat_ids[ig].repeat(4) mat_ids.append(new_mat_id) mesh = Mesh.from_data(mesh_in.name + '_r', coors, None, conns, mat_ids, mesh_in.descs ) return mesh def refine_3_4(mesh_in, cmesh): """ Refines tetrahedra by cutting each edge in half and making 8 new finer tetrahedra out of one coarser one. Old nodal coordinates come first in `coors`, then the new ones. The new tetrahedra are similar to the old one, no degeneration is supposed to occur as at most 3 congruence classes of tetrahedra appear, even when re-applied iteratively (provided that `conns` are not modified between two applications - ordering of vertices in tetrahedra matters not only for positivity of volumes). References: - Juergen Bey: Simplicial grid refinement: on Freudenthal s algorithm and the optimal number of congruence classes, Numer.Math. 85 (2000), no. 1, 1--29, or - Juergen Bey: Tetrahedral grid refinement, Computing 55 (1995), no. 4, 355--378, or http://citeseer.ist.psu.edu/bey95tetrahedral.html """ # Unique edge centres. e_centres = cmesh.get_centroids(cmesh.dim - 2) # New coordinates after the original ones. coors = nm.r_[mesh_in.coors, e_centres] o1 = mesh_in.n_nod cc = cmesh.get_conn(cmesh.dim, cmesh.dim - 2) offs = cc.offsets conns = [] mat_ids = [] for ig, conn in enumerate(mesh_in.conns): off0, off1 = mesh_in.el_offsets[ig : ig + 2] n_el = conn.shape[0] e_nodes = cc.indices[offs[off0]:offs[off1]].reshape((n_el, 6)) + o1 c = nm.c_[conn, e_nodes].T new_conn = nm.vstack([c[0], c[4], c[6], c[7], c[4], c[1], c[5], c[8], c[6], c[5], c[2], c[9], c[7], c[8], c[9], c[3], c[4], c[6], c[7], c[8], c[4], c[6], c[8], c[5], c[6], c[7], c[8], c[9], c[6], c[5], c[9], c[8]]).T new_conn = new_conn.reshape((8 * n_el, 4)) conns.append(new_conn) new_mat_id = mesh_in.mat_ids[ig].repeat(8) mat_ids.append(new_mat_id) mesh = Mesh.from_data(mesh_in.name + '_r', coors, None, conns, mat_ids, mesh_in.descs ) return mesh def refine_3_8(mesh_in, cmesh): """ Refines hexahedral mesh by cutting cutting each edge in half and making 8 new finer hexahedrons out of one coarser one. """ # Unique edge centres. e_centres = cmesh.get_centroids(cmesh.dim - 2) # Unique face centres. f_centres = cmesh.get_centroids(cmesh.dim - 1) # Unique element centres. coors = mesh_in.get_element_coors() centres = 0.125 * nm.sum(coors, axis=1) # New coordinates after the original ones. coors = nm.r_[mesh_in.coors, e_centres, f_centres, centres] o1 = mesh_in.n_nod o2 = o1 + e_centres.shape[0] o3 = o2 + f_centres.shape[0] ecc = cmesh.get_conn(cmesh.dim, cmesh.dim - 2) eoffs = ecc.offsets fcc = cmesh.get_conn(cmesh.dim, cmesh.dim - 1) foffs = fcc.offsets st = nm.vstack conns = [] mat_ids = [] for ig, conn in enumerate(mesh_in.conns): off0, off1 = mesh_in.el_offsets[ig : ig + 2] n_el = conn.shape[0] e_nodes = ecc.indices[eoffs[off0]:eoffs[off1]].reshape((n_el, 12)) + o1 f_nodes = fcc.indices[foffs[off0]:foffs[off1]].reshape((n_el, 6)) + o2 nodes = nm.arange(n_el) + off0 + o3 c = nm.c_[conn, e_nodes, f_nodes, nodes].T new_conn = st([c[0], c[8], c[20], c[11], c[16], c[22], c[26], c[21], c[1], c[9], c[20], c[8], c[17], c[24], c[26], c[22], c[2], c[10], c[20], c[9], c[18], c[25], c[26], c[24], c[3], c[11], c[20], c[10], c[19], c[21], c[26], c[25], c[4], c[15], c[23], c[12], c[16], c[21], c[26], c[22], c[5], c[12], c[23], c[13], c[17], c[22], c[26], c[24], c[6], c[13], c[23], c[14], c[18], c[24], c[26], c[25], c[7], c[14], c[23], c[15], c[19], c[25], c[26], c[21]]).T new_conn = new_conn.reshape((8 * n_el, 8)) conns.append(new_conn) new_mat_id = mesh_in.mat_ids[ig].repeat(8) mat_ids.append(new_mat_id) mesh = Mesh.from_data(mesh_in.name + '_r', coors, None, conns, mat_ids, mesh_in.descs ) return mesh def refine_reference(geometry, level): """ Refine reference element given by `geometry`. Notes ----- The error edges must be generated in the order of the connectivity of the previous (lower) level. """ from sfepy.discrete.fem import FEDomain from sfepy.discrete.fem.geometry_element import geometry_data gcoors, gconn = geometry.coors, geometry.conn if level == 0: return gcoors, gconn, None gd = geometry_data[geometry.name] conn = nm.array([gd.conn], dtype=nm.int32) mat_id = conn[:, 0].copy() mat_id[:] = 0 mesh = Mesh.from_data('aux', gd.coors, None, [conn], [mat_id], [geometry.name]) domain = FEDomain('aux', mesh) for ii in range(level): domain = domain.refine() coors = domain.mesh.coors conn = domain.mesh.conns[0] n_el = conn.shape[0] if geometry.name == '2_3': aux_conn = conn.reshape((n_el / 4, 4, 3)) ir = [[0, 1, 2], [2, 2, 3], [3, 3, 0]] ic = [[0, 0, 0], [0, 1, 0], [0, 1, 0]] elif geometry.name == '2_4': aux_conn = conn.reshape((n_el / 4, 4, 4)) ir = [[0, 0, 1], [1, 1, 2], [2, 2, 3], [3, 3, 0], [0, 0, 2], [3, 3, 1]] ic = [[0, 1, 0], [0, 1, 0], [0, 1, 0], [0, 1, 0], [1, 2, 1], [1, 2, 1]] elif geometry.name == '3_4': aux_conn = conn.reshape((n_el / 8, 8, 4)) ir = [[0, 0, 1], [1, 1, 2], [2, 0, 0], [3, 1, 1], [3, 2, 2], [3, 0, 0]] ic = [[0, 1, 1], [1, 2, 2], [2, 2, 0], [3, 3, 1], [3, 3, 2], [3, 3, 0]] elif geometry.name == '3_8': aux_conn = conn.reshape((n_el / 8, 8, 8)) ir = [[0, 0, 1], [1, 1, 2], [2, 2, 3], [3, 0, 0], [0, 0, 2], [0, 0, 1], [0, 0, 1], [1, 1, 2], [2, 2, 3], [3, 0, 0], [0, 0, 2], [0, 0, 1], [4, 4, 5], [5, 5, 6], [6, 6, 7], [7, 4, 4], [4, 4, 6], [4, 4, 5], [0, 0, 4], [1, 1, 5], [2, 2, 6], [3, 3, 7], [0, 0, 4], [1, 1, 5], [2, 2, 6], [0, 0, 4], [0, 0, 4]] ic = [[0, 1, 0], [0, 1, 0], [0, 1, 0], [0, 3, 0], [1, 2, 1], [3, 2, 1], [4, 5, 4], [4, 5, 4], [4, 5, 4], [4, 7, 4], [5, 6, 5], [7, 6, 5], [0, 3, 0], [0, 3, 0], [0, 3, 0], [0, 1, 0], [3, 2, 3], [1, 2, 3], [0, 4, 0], [0, 4, 0], [0, 4, 0], [0, 4, 0], [1, 5, 3], [1, 5, 3], [1, 5, 3], [3, 7, 1], [2, 6, 2]] else: raise ValueError('unsupported geometry! (%s)' % geometry.name) conn = nm.array(conn, dtype=nm.int32) error_edges = aux_conn[:, ir, ic] return coors, conn, error_edges sfepy-release_2015.1/sfepy/discrete/fem/setup.py000066400000000000000000000007441247364230400216530ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) config.add_subpackage('extmods') # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/fem/utils.py000066400000000000000000000231701247364230400216510ustar00rootroot00000000000000import numpy as nm import sfepy.linalg as la from sfepy.discrete.integrals import Integral def prepare_remap(indices, n_full): """ Prepare vector for remapping range `[0, n_full]` to its subset given by `indices`. """ remap = nm.empty((n_full,), dtype=nm.int32) remap.fill(-1) remap[indices] = nm.arange(indices.shape[0], dtype=nm.int32) return remap def invert_remap(remap): """ Return the inverse of `remap`, i.e. a mapping from a sub-range indices to a full range, see :func:`prepare_remap()`. """ if remap is not None: inverse = nm.where(remap >= 0)[0].astype(nm.int32) else: inverse = None return inverse def prepare_translate(old_indices, new_indices): """ Prepare vector for translating `old_indices` to `new_indices`. Returns ------- translate : array The translation vector. Then `new_ar = translate[old_ar]`. """ old_indices = nm.asarray(old_indices) new_indices = nm.asarray(new_indices) translate = nm.zeros(old_indices.max() + 1, dtype=new_indices.dtype) translate[old_indices] = new_indices return translate def compute_nodal_normals(nodes, region, field, return_imap=False): """ Nodal normals are computed by simple averaging of element normals of elements every node is contained in. """ dim = region.dim field.domain.create_surface_group(region) field._setup_surface_data(region) # Custom integral with quadrature points very close to facet vertices. coors = field.gel.surface_facet.coors centre = coors.sum(axis=0) / coors.shape[0] qp_coors = coors + 1e-8 * (centre - coors) # Unit normals -> weights = ones. qp_weights = nm.ones(qp_coors.shape[0], dtype=nm.float64) integral = Integral('aux', coors=qp_coors, weights=qp_weights) normals = nm.zeros((nodes.shape[0], dim), dtype=nm.float64) mask = nm.zeros((nodes.max() + 1,), dtype=nm.int32) imap = nm.empty_like(mask) imap.fill(nodes.shape[0]) # out-of-range index for normals. imap[nodes] = nm.arange(nodes.shape[0], dtype=nm.int32) for ig in region.igs: cmap, _ = field.get_mapping(ig, region, integral, 'surface') e_normals = cmap.normal[..., 0] sd = field.domain.surface_groups[ig][region.name] econn = sd.get_connectivity() mask[econn] += 1 # normals[imap[econn]] += e_normals im = imap[econn] for ii, en in enumerate(e_normals): normals[im[ii]] += en # All nodes must have a normal. if not nm.all(mask[nodes] > 0): raise ValueError('region %s has not complete faces!' % region.name) norm = la.norm_l2_along_axis(normals)[:, nm.newaxis] if (norm < 1e-15).any(): raise ValueError('zero nodal normal! (a node in volume?)') normals /= norm if return_imap: return normals, imap else: return normals def _get_edge_path(graph, seed, mask, cycle=False): """ Get a path in an edge graph starting with seed. The mask is incremented by one at positions of the path vertices. """ if mask[seed]: return [] path = [seed] mask[seed] = 1 row = graph[seed].indices nv = len(row) while nv: if nv == 2: if mask[row[0]]: if mask[row[1]]: if cycle: path.append(seed) break else: vert = row[1] else: vert = row[0] elif mask[row[0]]: break else: vert = row[0] path.append(vert) mask[vert] = 1 row = graph[vert].indices nv = len(row) path = nm.array(path, dtype=nm.int32) return path def get_edge_paths(graph, mask): """ Get all edge paths in a graph with non-masked vertices. The mask is updated. """ nodes = nm.unique(graph.indices) npv = nm.diff(graph.indptr) if npv.max() > 2: raise ValueError('more than 2 edges sharing a vertex!') seeds = nm.where(npv == 1)[0] # 1. get paths. paths = [] for seed in seeds: path = _get_edge_path(graph, seed, mask) if len(path): paths.append(path) # 2. get possible remaing cycles. while 1: ii = nm.where(mask[nodes] == 0)[0] if not len(ii): break path = _get_edge_path(graph, nodes[ii[0]], mask, cycle=True) if len(path): paths.append(path) return paths def compute_nodal_edge_dirs(nodes, region, field, return_imap=False): """ Nodal edge directions are computed by simple averaging of direction vectors of edges a node is contained in. Edges are assumed to be straight and a node must be on a single edge (a border node) or shared by exactly two edges. """ coors = region.domain.mesh.coors dim = coors.shape[1] graph = region.get_edge_graph() imap = prepare_remap(nodes, nodes.max() + 1) mask = nm.zeros_like(imap) try: paths = get_edge_paths(graph, mask) except ValueError: raise ValueError('more than 2 edges sharing a vertex in region %s!' % region.name) # All nodes must have an edge direction. if not nm.all(mask[nodes]): raise ValueError('region %s has not complete edges!' % region.name) edge_dirs = nm.zeros((nodes.shape[0], dim), dtype=nm.float64) for path in paths: pcoors = coors[path] edirs = nm.diff(pcoors, axis=0) la.normalize_vectors(edirs, eps=1e-12) im = imap[nm.c_[path[:-1], path[1:]]] for ii, edir in enumerate(edirs): edge_dirs[im[ii]] += edir la.normalize_vectors(edge_dirs, eps=1e-12) if return_imap: return edge_dirs, imap else: return edge_dirs def get_min_value(dofs): """ Get a reasonable minimal value of DOFs suitable for extending over a whole domain. """ if dofs.shape[1] > 1: # Vector. val = 0.0 else: # Scalar. val = dofs.min() return val def extend_cell_data(data, domain, rname, val=None, is_surface=False, average_surface=True): """ Extend cell data defined in a region to the whole domain. Parameters ---------- data : array The data defined in the region. domain : FEDomain instance The FE domain. rname : str The region name. val : float, optional The value for filling cells not covered by the region. If not given, the smallest value in data is used. is_surface : bool If True, the data are defined on a surface region. In that case the values are averaged or summed into the cells containing the region surface faces (a cell can have several faces of the surface), see `average_surface`. average_surface : bool If True, the data defined on a surface region are averaged, otherwise the data are summed. Returns ------- edata : array The data extended to all domain elements. """ n_el = domain.shape.n_el if data.shape[0] == n_el: return data if val is None: if data.shape[2] > 1: # Vector. val = nm.amin(nm.abs(data)) else: # Scalar. val = nm.amin(data) edata = nm.empty((n_el,) + data.shape[1:], dtype = nm.float64) edata.fill(val) region = domain.regions[rname] eoffs = domain.get_cell_offsets() if not is_surface: offs = region.get_cell_offsets() for group in domain.iter_groups(): ig = group.ig ii = eoffs[ig] if ig in region.igs: n_cell = region.shape[ig].n_cell ir = offs[ig] edata[ii+region.get_cells(ig)] = data[ir:ir+n_cell] else: for group in domain.iter_groups(): ig = group.ig ii = eoffs[ig] if ig in region.igs: cells = region.get_cells(ig, true_cells_only=False) ucells = nm.unique(cells) i1 = region.get_facets(ig) i2 = region.facets dii = nm.searchsorted(i2, i1) if len(cells) != len(dii): raise ValueError('region %s has an inner face!' % region.name) if average_surface: avg = nm.bincount(cells, minlength=group.shape.n_el)[ucells] else: avg = 1.0 for ic in xrange(data.shape[2]): evals = nm.bincount(cells, weights=data[dii, 0, ic, 0], minlength=group.shape.n_el)[ucells] edata[ii+ucells, 0, ic, 0] = evals / avg return edata def refine_mesh(filename, level): """ Uniformly refine `level`-times a mesh given by `filename`. The refined mesh is saved to a file with name constructed from base name of `filename` and `level`-times appended `'_r'` suffix. Parameters ---------- filename : str The mesh file name. level : int The refinement level. """ import os from sfepy.base.base import output from sfepy.discrete.fem import Mesh, FEDomain if level > 0: mesh = Mesh.from_file(filename) domain = FEDomain(mesh.name, mesh) for ii in range(level): output('refine %d...' % ii) domain = domain.refine() output('... %d nodes %d elements' % (domain.shape.n_nod, domain.shape.n_el)) suffix = os.path.splitext(filename)[1] filename = domain.name + suffix domain.mesh.write(filename, io='auto') return filename sfepy-release_2015.1/sfepy/discrete/functions.py000066400000000000000000000101461247364230400217510ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import OneTypeList, Container, Struct class Functions(Container): """Container to hold all user-defined functions.""" def from_conf(conf): objs = OneTypeList(Function) for key, fc in conf.iteritems(): fun = Function(name = fc.name, function = fc.function, is_constant = False, extra_args = {}) objs.append(fun) obj = Functions(objs) return obj from_conf = staticmethod(from_conf) class Function(Struct): """Base class for user-defined functions.""" def __init__(self, name, function, is_constant=False, extra_args=None): Struct.__init__(self, name = name, function = function, is_constant = is_constant) if extra_args is None: extra_args = {} self.extra_args = extra_args def __call__(self, *args, **kwargs): _kwargs = dict(kwargs) _kwargs.update(self.extra_args) return self.function(*args, **_kwargs) def set_function(self, function, is_constant=False): self.function = function self.is_constant = is_constant def set_extra_args(self, **extra_args): self.extra_args = extra_args class ConstantFunction(Function): """Function with constant values.""" def __init__(self, values): """Make a function out of a dictionary of constant values. When called with coors argument, the values are repeated for each coordinate.""" name = '_'.join(['get_constants'] + values.keys()) def get_constants(ts=None, coors=None, mode=None, **kwargs): out = {} if mode == 'special': for key, val in values.iteritems(): if '.' in key: vkey = key.split('.')[1] out[vkey] = val elif (mode == 'qp'): for key, val in values.iteritems(): if '.' in key: continue val = nm.array(val, dtype=nm.float64, ndmin=3) out[key] = nm.tile(val, (coors.shape[0], 1, 1)) elif (mode == 'special_constant') or (mode is None): for key, val in values.iteritems(): if '.' in key: continue out[key] = val else: raise ValueError('unknown function mode! (%s)' % mode) return out Function.__init__(self, name = name, function = get_constants, is_constant = True) class ConstantFunctionByRegion(Function): """ Function with constant values in regions. """ def __init__(self, values): """ Make a function out of a dictionary of constant values per region. When called with coors argument, the values are repeated for each coordinate in each of the given regions. """ name = '_'.join(['get_constants_by_region'] + values.keys()) def get_constants(ts=None, coors=None, mode=None, term=None, problem=None, **kwargs): out = {} if mode == 'qp': qps = term.get_physical_qps() for key, val in values.iteritems(): if '.' in key: continue rval = nm.array(val[val.keys()[0]], dtype=nm.float64, ndmin=3) matdata = nm.zeros((coors.shape[0], ) + rval.shape[1:], dtype=nm.float64) for rkey, rval in val.iteritems(): region = problem.domain.regions[rkey] rval = nm.array(rval, dtype=nm.float64, ndmin=3) for ig in region.igs: if not (ig in qps.igs): continue matdata[qps.rindx[ig]] = rval out[key] = matdata return out Function.__init__(self, name=name, function=get_constants, is_constant=True) sfepy-release_2015.1/sfepy/discrete/iga/000077500000000000000000000000001247364230400201255ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/iga/__init__.py000066400000000000000000000000221247364230400222300ustar00rootroot00000000000000from iga import * sfepy-release_2015.1/sfepy/discrete/iga/domain.py000066400000000000000000000133061247364230400217510ustar00rootroot00000000000000""" Computational domain for isogeometric analysis. """ import os.path as op import numpy as nm from sfepy.base.base import assert_, Struct from sfepy.discrete.common.domain import Domain import sfepy.discrete.iga as iga import sfepy.discrete.iga.io as io from sfepy.discrete.iga.extmods.igac import eval_in_tp_coors class NurbsPatch(Struct): """ Single NURBS patch data. """ def __init__(self, knots, degrees, cps, weights, cs, conn): degrees = nm.asarray(degrees, dtype=nm.int32) cs = [nm.asarray(cc, dtype=nm.float64) for cc in cs] if cs[0].ndim == 3: cs = [nm.ascontiguousarray(cc[:, None, ...]) for cc in cs] Struct.__init__(self, name='nurbs', knots=knots, degrees=degrees, cps=cps, weights=weights, cs=cs, conn=conn) self.n_els = [len(ii) for ii in cs] self.dim = len(self.n_els) def _get_ref_coors_1d(self, pars, axis): uk = nm.unique(self.knots[axis]) indices = nm.searchsorted(uk[1:], pars) ref_coors = nm.empty_like(pars) for ii in xrange(len(uk) - 1): ispan = nm.where(indices == ii)[0] pp = pars[ispan] ref_coors[ispan] = (pp - uk[ii]) / (uk[ii+1] - uk[ii]) return uk, indices, ref_coors def __call__(self, u=None, v=None, w=None, field=None): """ Igakit-like interface for NURBS evaluation. """ pars = [u] if v is not None: pars += [v] if w is not None: pars += [w] indices = [] rcs = [] for ia, par in enumerate(pars): uk, indx, rc = self._get_ref_coors_1d(par, ia) indices.append(indx.astype(nm.uint32)) rcs.append(rc) out = eval_in_tp_coors(field, indices, rcs, self.cps, self.weights, self.degrees, self.cs, self.conn) return out def evaluate(self, field, u=None, v=None, w=None): """ Igakit-like interface for NURBS evaluation. """ return self(u, v, w, field) def _to_igakit(self): import igakit.cad as cad n_efuns = self.degrees + 1 nks = nm.array([len(ii) for ii in self.knots]) shape = tuple(nks - n_efuns) cps = self.cps.reshape(shape + (-1,)) weights = self.weights.reshape(shape) return cad.NURBS(self.knots, cps, weights=weights) def _from_igakit(self, inurbs): cs = iga.compute_bezier_extraction(inurbs.knots, inurbs.degree) n_els = [len(ii) for ii in cs] conn, bconn = iga.create_connectivity(n_els, inurbs.knots, inurbs.degree) cps = inurbs.points[..., :self.dim].copy() cps = cps.reshape((-1, self.dim)) return NurbsPatch(inurbs.knots, inurbs.degree, cps, inurbs.weights.ravel(), cs, conn) def elevate(self, times=0): """ Elevate the patch degrees several `times` by one. Returns ------- nurbs : NurbsPatch instance Either `self` if `times` is zero, or a new instance. """ if times is 0: return self aux = self._to_igakit() for ia in range(self.dim): aux.elevate(ia, times) assert_(nm.isfinite(aux.points).all(), 'igakit degree elevation failed for axis %d!' % ia) return self._from_igakit(aux) class IGDomain(Domain): """ Bezier extraction based NURBS domain for isogeometric analysis. """ @staticmethod def from_file(filename): """ filename : str The name of the IGA domain file. """ (knots, degrees, cps, weights, cs, conn, bcps, bweights, bconn, regions) = io.read_iga_data(filename) nurbs = NurbsPatch(knots, degrees, cps, weights, cs, conn) bmesh = Struct(name='bmesh', cps=bcps, weights=bweights, conn=bconn) name = op.splitext(filename)[0] domain = IGDomain(name, nurbs=nurbs, bmesh=bmesh, regions=regions) return domain def __init__(self, name, nurbs, bmesh, regions=None, **kwargs): """ Create an IGA domain. Parameters ---------- name : str The domain name. """ Domain.__init__(self, name, nurbs=nurbs, bmesh=bmesh, regions=regions, **kwargs) from sfepy.discrete.fem.geometry_element import create_geometry_elements from sfepy.discrete.fem import Mesh from sfepy.discrete.fem.extmods.cmesh import CMesh from sfepy.discrete.fem.utils import prepare_remap tconn = iga.get_bezier_topology(bmesh.conn, nurbs.degrees) itc = nm.unique(tconn) remap = prepare_remap(itc, bmesh.conn.max() + 1) ltcoors = bmesh.cps[itc] ltconn = remap[tconn] n_nod, dim = ltcoors.shape n_el = ltconn.shape[0] self.shape = Struct(n_nod=n_nod, dim=dim, tdim=0, n_el=n_el, n_gr=1) desc = '%d_%d' % (dim, 2**dim) mat_id = nm.zeros(ltconn.shape[0], dtype=nm.int32) self.mesh = Mesh.from_data(self.name + '_topo', ltcoors, None, [ltconn], [mat_id], [desc]) self.cmesh = CMesh.from_mesh(self.mesh) gels = create_geometry_elements() self.cmesh.set_local_entities(gels) self.cmesh.setup_entities() self.shape.tdim = self.cmesh.tdim self.gel = gels[desc] if regions is not None: self.vertex_set_bcs = {} for key, val in self.regions.iteritems(): self.vertex_set_bcs[key] = remap[val] self.cell_offsets = {0 : 0} self.reset_regions() sfepy-release_2015.1/sfepy/discrete/iga/domain_generators.py000066400000000000000000000105761247364230400242100ustar00rootroot00000000000000""" IGA domain generators. """ import numpy as nm from sfepy.base.base import assert_, output, Struct import sfepy.discrete.iga as iga from sfepy.discrete.iga.domain import NurbsPatch def create_from_igakit(inurbs, verbose=False): """ Create :class:`IGDomain ` data from a given igakit NURBS object. Parameters ---------- inurbs : igakit.nurbs.NURBS instance The igakit NURBS object. Returns ------- nurbs : NurbsPatch instance The NURBS data. The igakit NURBS object is stored as `nurbs` attribute. bmesh : Struct instance The Bezier mesh data. regions : dict The patch surface regions. """ # Compute Bezier extraction data. output('computing Bezier mesh...', verbose=verbose) cs = iga.compute_bezier_extraction(inurbs.knots, inurbs.degree) n_els = [len(ii) for ii in cs] conn, bconn = iga.create_connectivity(n_els, inurbs.knots, inurbs.degree) ccs = iga.combine_bezier_extraction(cs) dim = len(inurbs.shape) cps = inurbs.points[..., :dim].copy() cps = cps.reshape((-1, dim)) bcps, bweights = iga.compute_bezier_control(cps, inurbs.weights.ravel(), ccs, conn, bconn) nurbs = NurbsPatch(inurbs.knots, inurbs.degree, cps, inurbs.weights.ravel(), cs, conn) nurbs.nurbs = inurbs bmesh = Struct(name='bmesh', cps=bcps, weights=bweights, conn=bconn) output('...done', verbose=verbose) output('defining regions...', verbose=verbose) regions = iga.get_patch_box_regions(n_els, inurbs.degree) output('...done', verbose=verbose) return nurbs, bmesh, regions def gen_patch_block_domain(dims, shape, centre, degrees, continuity=None, cp_mode='greville', name='block', verbose=True): """ Generate a single IGA patch block in 2D or 3D of given degrees and continuity using igakit. Parameters ---------- dims : array of D floats Dimensions of the block. shape : array of D ints Numbers of unique knot values along each axis. centre : array of D floats Centre of the block. degrees : array of D floats NURBS degrees along each axis. continuity : array of D ints, optional NURBS continuity along each axis. If None, `degrees-1` is used. cp_mode : 'greville' or 'uniform' The control points mode. The default 'greville' results in a uniform Bezier mesh, while the 'uniform' mode results in a uniform grid of control points a finer Bezier mesh inside the block and a coarser Bezier mesh near the block boundary. name : string Domain name. verbose : bool If True, report progress of the domain generation. Returns ------- nurbs : NurbsPatch instance The NURBS data. The igakit NURBS object is stored as `nurbs` attribute. bmesh : Struct instance The Bezier mesh data. regions : dict The patch surface regions. """ import igakit.cad as cad dims = nm.asarray(dims, dtype=nm.float64) shape = nm.asarray(shape, dtype=nm.int32) centre = nm.asarray(centre, dtype=nm.float64) degrees = nm.asarray(degrees, dtype=nm.int32) assert_(cp_mode in ['greville', 'uniform'], "cp_mode has to be 'greville' or 'uniform'") if continuity is None: continuity = degrees - 1 else: continuity = nm.asarray(continuity, dtype=nm.int32) dim = len(shape) output('generating NURBS...', verbose=verbose) dd = centre - 0.5 * dims block = cad.grid(shape - 1, degree=degrees, continuity=continuity) for ia in xrange(dim): block.scale(dims[ia], ia) for ia in xrange(dim): block.translate(dd[ia], ia) if cp_mode == 'uniform': # Force uniform control points. This prevents coarser resolution inside # the block. shape = nm.asarray(block.points.shape[:-1]) n_nod = nm.prod(shape) x0 = centre - 0.5 * dims dd = dims / (shape - 1) ngrid = nm.mgrid[[slice(ii) for ii in shape]] ngrid.shape = (dim, n_nod) coors = x0 + ngrid.T * dd coors.shape = shape.tolist() + [dim] block.array[..., :dim] = coors output('...done', verbose=verbose) nurbs, bmesh, regions = create_from_igakit(block, verbose=verbose) return nurbs, bmesh, regions sfepy-release_2015.1/sfepy/discrete/iga/extmods/000077500000000000000000000000001247364230400216105ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/iga/extmods/__init__.py000066400000000000000000000000001247364230400237070ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/discrete/iga/extmods/igac.pyx000066400000000000000000000607151247364230400232660ustar00rootroot00000000000000# -*- Mode: Python -*- cimport cython import numpy as np cimport numpy as np from sfepy.discrete.fem.extmods.types cimport int32, uint32, float64 from sfepy.discrete.fem.extmods._fmfield cimport (FMField, array2fmfield4, array2fmfield2, array2fmfield1, array2pint2, array2pint1, array2puint1, fmf_alloc, fmf_free) cdef extern from 'nurbs.h': cdef void _ravel_multi_index \ 'ravel_multi_index'(uint32 *index, uint32 *indices, uint32 *shape, uint32 num) cdef void _unravel_index \ 'unravel_index'(uint32 *indices, uint32 index, uint32 *shape, uint32 num) cdef int32 _eval_bernstein_basis \ 'eval_bernstein_basis'(FMField *funs, FMField *ders, float64 x, uint32 degree) cdef int32 _eval_bspline_basis_tp \ 'eval_bspline_basis_tp'(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein) cdef int32 _eval_nurbs_basis_tp \ 'eval_nurbs_basis_tp'(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, FMField *weights, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein) def is_nurbs(np.ndarray[float64, mode='c', ndim=1] weights not None): """ Return True if some weights are not one. """ return np.any(weights != 1.0) def eval_bernstein_basis(np.ndarray funs not None, np.ndarray ders not None, float64 x, uint32 degree): cdef int32 ret cdef FMField _funs[1], _ders[1] array2fmfield1(_funs, funs) array2fmfield1(_ders, ders) ret = _eval_bernstein_basis(_funs, _ders, x, degree) return ret def eval_mapping_data_in_qp(np.ndarray[float64, mode='c', ndim=2] qps not None, np.ndarray[float64, mode='c', ndim=2] control_points not None, np.ndarray[float64, mode='c', ndim=1] weights not None, np.ndarray[int32, mode='c', ndim=1] degrees not None, cs not None, np.ndarray[int32, mode='c', ndim=2] conn not None, np.ndarray[uint32, mode='c', ndim=1] cells=None): """ Evaluate data required for the isogeometric domain reference mapping in the given quadrature points. The quadrature points are the same for all Bezier elements and should correspond to the Bernstein basis degree. Parameters ---------- qps : array The quadrature points coordinates with components in [0, 1] reference element domain. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. cells : array, optional If given, use only the given Bezier elements. Returns ------- bfs : array The NURBS shape functions in the physical quadrature points of all elements. bfgs : array The NURBS shape functions derivatives w.r.t. the physical coordinates in the physical quadrature points of all elements. dets : array The Jacobians of the mapping to the unit reference element in the physical quadrature points of all elements. """ cdef uint32 ii, ie, n_qp, n_efun, nf cdef int32 n_el, n_ep, dim, aux cdef uint32 *_cells cdef int32 *_degrees, *_conn cdef FMField _bf[1], _bfg[1], _det[1] cdef FMField _bfg_dxi[1], _dx_dxi[1], _dxi_dx[1] cdef FMField _qp[1], _control_points[1], _weights[1] cdef FMField _cs[3] cdef FMField _B[3], _dB_dxi[3], _N[3], _dN_dxi[3] cdef np.ndarray[float64, mode='c', ndim=4] bfs, bfgs, dets if cells is None: cells = np.arange(conn.shape[0], dtype=np.uint32) degrees = np.asarray(degrees, dtype=np.int32) n_el = len(cells) n_qp = qps.shape[0] dim = control_points.shape[1] n_efuns = degrees + 1 n_efun = np.prod(n_efuns) # Output Jacobians. dets = np.empty((n_el, n_qp, 1, 1), dtype=np.float64) # Output shape functions. bfs = np.empty((n_el, n_qp, 1, n_efun), dtype=np.float64) # Output gradients of shape functions. bfgs = np.empty((n_el, n_qp, dim, n_efun), dtype=np.float64) # Setup C termporary arrays. bfg_dxi = np.empty((1, 1, dim, n_efun), dtype=np.float64) dx_dxi = np.empty((1, 1, dim, dim), dtype=np.float64) dxi_dx = np.empty((1, 1, dim, dim), dtype=np.float64) for ii in range(0, dim): fmf_alloc(_B + ii, n_qp, 1, n_efuns[ii], 1) fmf_alloc(_dB_dxi + ii, n_qp, 1, n_efuns[ii], 1) fmf_alloc(_N + ii, 1, 1, n_efuns[ii], 1) fmf_alloc(_dN_dxi + ii, 1, 1, n_efuns[ii], 1) # Assign to C structures. array2fmfield4(_bfg_dxi, bfg_dxi) array2fmfield4(_dx_dxi, dx_dxi) array2fmfield4(_dxi_dx, dxi_dx) array2fmfield2(_control_points, control_points) array2fmfield1(_weights, weights) for ii in range(dim): array2fmfield4(_cs + ii, cs[ii]) array2pint1(&_degrees, &dim, degrees) array2pint2(&_conn, &aux, &n_ep, conn) _bf.offset = _bfg.offset = _det.offset = _qp.offset = -1 _bf.nAlloc = _bfg.nAlloc = _det.nAlloc = _qp.nAlloc = -1 _bf.nCell = _bfg.nCell = _det.nCell = _qp.nCell = 1 _bf.nLev = _bfg.nLev = _det.nLev = _qp.nLev = 1 _bf.nRow = _det.nRow = _qp.nRow = 1 _bfg.nRow = dim _bf.nCol = _bfg.nCol = n_efun _det.nCol = 1 _qp.nCol = dim _bf.val = _bf.val0 = &bfs[0, 0, 0, 0] _bfg.val = _bfg.val0 = &bfgs[0, 0, 0, 0] _det.val = _det.val0 = &dets[0, 0, 0, 0] _qp.val = _qp.val0 = &qps[0, 0] # Pre-compute 1D Bernstein basis B, dB/dxi. for iqp in range(0, n_qp): for ii in range(0, dim): nf = n_efuns[ii] _eval_bernstein_basis(_B + ii, _dB_dxi + ii, _qp.val[ii], _degrees[ii]) (_B + ii).val += nf (_dB_dxi + ii).val += nf _qp.val += dim if is_nurbs(weights): # Loop over elements. _cells = &cells[0] for iseq in range(0, n_el): ie = _cells[iseq] _qp.val = _qp.val0 for ii in range(0, dim): (_B + ii).val = (_B + ii).val0 (_dB_dxi + ii).val = (_dB_dxi + ii).val0 # Loop over quadrature points. for iqp in range(0, n_qp): _eval_nurbs_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _qp, ie, _control_points, _weights, _degrees, dim, _cs, _conn, n_el, n_ep, 1) _bf.val += n_efun _bfg.val += dim * n_efun _det.val += 1 _qp.val += dim for ii in range(0, dim): nf = n_efuns[ii] (_B + ii).val += nf (_dB_dxi + ii).val += nf else: # Loop over elements. _cells = &cells[0] for iseq in range(0, n_el): ie = _cells[iseq] _qp.val = _qp.val0 for ii in range(0, dim): (_B + ii).val = (_B + ii).val0 (_dB_dxi + ii).val = (_dB_dxi + ii).val0 # Loop over quadrature points. for iqp in range(0, n_qp): _eval_bspline_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _qp, ie, _control_points, _degrees, dim, _cs, _conn, n_el, n_ep, 1) _bf.val += n_efun _bfg.val += dim * n_efun _det.val += 1 _qp.val += dim for ii in range(0, dim): nf = n_efuns[ii] (_B + ii).val += nf (_dB_dxi + ii).val += nf for ii in range(0, dim): fmf_free(_B + ii) fmf_free(_dB_dxi + ii) fmf_free(_N + ii) fmf_free(_dN_dxi + ii) return bfs, bfgs, dets def eval_variable_in_qp(np.ndarray[float64, mode='c', ndim=2] variable not None, np.ndarray[float64, mode='c', ndim=2] qps not None, np.ndarray[float64, mode='c', ndim=2] control_points not None, np.ndarray[float64, mode='c', ndim=1] weights not None, np.ndarray[int32, mode='c', ndim=1] degrees not None, cs not None, np.ndarray[int32, mode='c', ndim=2] conn not None, np.ndarray[uint32, mode='c', ndim=1] cells=None): """ Evaluate a field variable in the given quadrature points. The quadrature points are the same for all Bezier elements and should correspond to the Bernstein basis degree. The field variable is defined by its DOFs - the coefficients of the NURBS basis. Parameters ---------- variable : array The DOF values of the variable with n_c components, shape (:, n_c). qps : array The quadrature points coordinates with components in [0, 1] reference element domain. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. cells : array, optional If given, use only the given Bezier elements. Returns ------- coors : array The physical coordinates of the quadrature points of all elements. vals : array The field variable values in the physical quadrature points. dets : array The Jacobians of the mapping to the unit reference element in the physical quadrature points. """ cdef uint32 ii, ie, n_qp, n_efun, nf, nc, ir, ic cdef int32 n_el, n_ep, dim, aux cdef uint32 *_cells cdef int32 *_degrees, *_conn, *ec cdef float64 val cdef FMField _bf[1], _bfg[1], _det[1], _vals[1], _coors[1] cdef FMField _bfg_dxi[1], _dx_dxi[1], _dxi_dx[1] cdef FMField _qp[1], _variable[1], _control_points[1], _weights[1] cdef FMField _cs[3] cdef FMField _B[3], _dB_dxi[3], _N[3], _dN_dxi[3] cdef np.ndarray[float64, mode='c', ndim=2] coors, vals, dets if cells is None: cells = np.arange(conn.shape[0], dtype=np.uint32) n_el = len(cells) n_qp = qps.shape[0] dim = control_points.shape[1] n_efuns = degrees + 1 n_efun = np.prod(n_efuns) nc = variable.shape[1] # Output values of the variable. vals = np.empty((n_el * n_qp, nc), dtype=np.float64) # Output physical coordinates of QPs. coors = np.empty((n_el * n_qp, dim), dtype=np.float64) # Output Jacobians. dets = np.empty((n_el * n_qp, 1), dtype=np.float64) # Setup C termporary arrays. bf = np.empty((n_efun,), dtype=np.float64) bfg = np.empty((dim, n_efun), dtype=np.float64) bfg_dxi = np.empty((1, 1, dim, n_efun), dtype=np.float64) dx_dxi = np.empty((1, 1, dim, dim), dtype=np.float64) dxi_dx = np.empty((1, 1, dim, dim), dtype=np.float64) for ii in range(0, dim): fmf_alloc(_B + ii, n_qp, 1, n_efuns[ii], 1) fmf_alloc(_dB_dxi + ii, n_qp, 1, n_efuns[ii], 1) fmf_alloc(_N + ii, 1, 1, n_efuns[ii], 1) fmf_alloc(_dN_dxi + ii, 1, 1, n_efuns[ii], 1) # Assign to C structures. array2fmfield1(_bf, bf) array2fmfield2(_bfg, bfg) array2fmfield4(_bfg_dxi, bfg_dxi) array2fmfield4(_dx_dxi, dx_dxi) array2fmfield4(_dxi_dx, dxi_dx) array2fmfield2(_variable, variable) array2fmfield2(_control_points, control_points) array2fmfield1(_weights, weights) for ii in range(dim): array2fmfield4(_cs + ii, cs[ii]) array2pint1(&_degrees, &dim, degrees) array2pint2(&_conn, &aux, &n_ep, conn) _vals.offset = _coors.offset = _det.offset = _qp.offset = -1 _vals.nAlloc = _coors.nAlloc = _det.nAlloc = _qp.nAlloc = -1 _vals.nCell = _coors.nCell = _det.nCell = _qp.nCell = 1 _vals.nLev = _coors.nLev = _det.nLev = _qp.nLev = 1 _vals.nRow = _coors.nRow = _det.nRow = _qp.nRow = 1 _vals.nCol = nc _coors.nCol = dim _det.nCol = 1 _qp.nCol = dim _vals.val = _vals.val0 = &vals[0, 0] _coors.val = _coors.val0 = &coors[0, 0] _det.val = _det.val0 = &dets[0, 0] _qp.val = _qp.val0 = &qps[0, 0] # Pre-compute 1D Bernstein basis B, dB/dxi. for iqp in range(0, n_qp): for ii in range(0, dim): nf = n_efuns[ii] _eval_bernstein_basis(_B + ii, _dB_dxi + ii, _qp.val[ii], _degrees[ii]) (_B + ii).val += nf (_dB_dxi + ii).val += nf _qp.val += dim if is_nurbs(weights): # Loop over elements. _cells = &cells[0] for iseq in range(0, n_el): ie = _cells[iseq] ec = _conn + n_ep * ie _qp.val = _qp.val0 for ii in range(0, dim): (_B + ii).val = (_B + ii).val0 (_dB_dxi + ii).val = (_dB_dxi + ii).val0 # Loop over quadrature points. for iqp in range(0, n_qp): _eval_nurbs_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _qp, ie, _control_points, _weights, _degrees, dim, _cs, _conn, n_el, n_ep, 1) # vals[ii, :] = np.dot(bf, variable[ec]) for ir in range(0, nc): _vals.val[ir] = 0.0 for ic in range(0, n_efun): val = _variable.val[ec[ic] * nc + ir] _vals.val[ir] += _bf.val[ic] * val # coors[ii, :] = np.dot(bf, control_points[ec]) for ir in range(0, dim): _coors.val[ir] = 0.0 for ic in range(0, n_efun): val = _control_points.val[ec[ic] * dim + ir] _coors.val[ir] += _bf.val[ic] * val _vals.val += nc _coors.val += dim _det.val += 1 _qp.val += dim for ii in range(0, dim): nf = n_efuns[ii] (_B + ii).val += nf (_dB_dxi + ii).val += nf else: # Loop over elements. _cells = &cells[0] for iseq in range(0, n_el): ie = _cells[iseq] ec = _conn + n_ep * ie _qp.val = _qp.val0 for ii in range(0, dim): (_B + ii).val = (_B + ii).val0 (_dB_dxi + ii).val = (_dB_dxi + ii).val0 # Loop over quadrature points. for iqp in range(0, n_qp): _eval_bspline_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _qp, ie, _control_points, _degrees, dim, _cs, _conn, n_el, n_ep, 1) # vals[ii, :] = np.dot(bf, variable[ec]) for ir in range(0, nc): _vals.val[ir] = 0.0 for ic in range(0, n_efun): val = _variable.val[ec[ic] * nc + ir] _vals.val[ir] += _bf.val[ic] * val # coors[ii, :] = np.dot(bf, control_points[ec]) for ir in range(0, dim): _coors.val[ir] = 0.0 for ic in range(0, n_efun): val = _control_points.val[ec[ic] * dim + ir] _coors.val[ir] += _bf.val[ic] * val _vals.val += nc _coors.val += dim _det.val += 1 _qp.val += dim for ii in range(0, dim): nf = n_efuns[ii] (_B + ii).val += nf (_dB_dxi + ii).val += nf return coors, vals, dets def eval_in_tp_coors(np.ndarray[float64, mode='c', ndim=2] variable, indices not None, ref_coors not None, np.ndarray[float64, mode='c', ndim=2] control_points not None, np.ndarray[float64, mode='c', ndim=1] weights not None, np.ndarray[int32, mode='c', ndim=1] degrees not None, cs not None, np.ndarray[int32, mode='c', ndim=2] conn not None): """ Evaluate a field variable (if given) or the NURBS geometry in the given tensor-product reference coordinates. The field variable is defined by its DOFs - the coefficients of the NURBS basis. Parameters ---------- variable : array The DOF values of the variable with n_c components, shape (:, n_c). indices : list of arrays The indices of knot spans for each axis, defining the Bezier element numbers. ref_coors : list of arrays The reference coordinates in [0, 1] for each knot span for each axis, defining the reference coordinates in the Bezier elements given by `indices`. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. Returns ------- out : array The field variable values or NURBS geometry coordinates for the given reference coordinates. """ cdef uint32 ii, ip, ie, n_efun, nc, ir, ic, n_vals, uaux cdef int32 n_el, n_ep, dim, aux cdef int32 *_degrees, *_conn, *ec cdef uint32 igrid[3], shape[3], iis[3], n_els[3] cdef uint32 *_indices[3], **puaux cdef FMField _bf[1], _bfg[1], _det[1], _vals[1], _out[1] cdef FMField _bfg_dxi[1], _dx_dxi[1], _dxi_dx[1] cdef FMField _rc[1], _control_points[1], _weights[1] cdef FMField _cs[3], _ref_coors[3] cdef np.ndarray[float64, mode='c', ndim=2] _evals, out cdef FMField _B[3], _dB_dxi[3], _N[3], _dN_dxi[3] dim = control_points.shape[1] n_efuns = degrees + 1 n_efun = np.prod(n_efuns) n_vals = 1 for ii in range(0, dim): shape[ii] = len(ref_coors[ii]) n_vals *= shape[ii] # Output values. if variable is None: nc = dim out = np.zeros((n_vals, dim), dtype=np.float64) _evals = control_points else: nc = variable.shape[1] out = np.zeros((n_vals, nc), dtype=np.float64) _evals = variable # Setup C termporary arrays. rc = np.empty((dim,), dtype=np.float64) det = np.empty((1,), dtype=np.float64) bf = np.empty((n_efun,), dtype=np.float64) bfg = np.empty((dim, n_efun), dtype=np.float64) bfg_dxi = np.empty((1, 1, dim, n_efun), dtype=np.float64) dx_dxi = np.empty((1, 1, dim, dim), dtype=np.float64) dxi_dx = np.empty((1, 1, dim, dim), dtype=np.float64) for ii in range(0, dim): fmf_alloc(_B + ii, 1, 1, n_efuns[ii], 1) fmf_alloc(_dB_dxi + ii, 1, 1, n_efuns[ii], 1) fmf_alloc(_N + ii, 1, 1, n_efuns[ii], 1) fmf_alloc(_dN_dxi + ii, 1, 1, n_efuns[ii], 1) # Assign to C structures. array2fmfield1(_rc, rc) array2fmfield1(_det, det) array2fmfield1(_bf, bf) array2fmfield2(_bfg, bfg) array2fmfield4(_bfg_dxi, bfg_dxi) array2fmfield4(_dx_dxi, dx_dxi) array2fmfield4(_dxi_dx, dxi_dx) array2fmfield2(_control_points, control_points) array2fmfield1(_weights, weights) array2fmfield2(_vals, _evals) for ii in range(dim): array2fmfield4(_cs + ii, cs[ii]) n_els[ii] = (_cs + ii).nCell; array2pint1(&_degrees, &dim, degrees) array2pint2(&_conn, &n_el, &n_ep, conn) _out.offset = _out.nAlloc = -1 _out.nCell = _out.nLev = _out.nRow = 1 _out.nCol = nc _out.val = _out.val0 = &out[0, 0] for ii in range(0, dim): puaux = _indices + ii array2puint1(puaux, &uaux, indices[ii]) array2fmfield1(_ref_coors + ii, ref_coors[ii]) if is_nurbs(weights): for ip in range(0, n_vals): _unravel_index(igrid, ip, shape, dim) for ii in range(0, dim): iis[ii] = _indices[ii][igrid[ii]] _rc.val[ii] = (_ref_coors + ii).val[igrid[ii]] _ravel_multi_index(&ie, iis, n_els, dim) _eval_nurbs_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _rc, ie, _control_points, _weights, _degrees, dim, _cs, _conn, n_el, n_ep, 0) # vals[ip, :] = np.dot(bf, variable[ec]) ec = _conn + n_ep * ie; for ir in range(0, nc): _out.val[ir] = 0.0 for ic in range(0, n_efun): _out.val[ir] += _bf.val[ic] * _vals.val[ec[ic] * nc + ir] _out.val += nc else: for ip in range(0, n_vals): _unravel_index(igrid, ip, shape, dim) for ii in range(0, dim): iis[ii] = _indices[ii][igrid[ii]] _rc.val[ii] = (_ref_coors + ii).val[igrid[ii]] _ravel_multi_index(&ie, iis, n_els, dim) _eval_bspline_basis_tp(_bf, _bfg, _det, _bfg_dxi, _dx_dxi, _dxi_dx, _B, _dB_dxi, _N, _dN_dxi, _rc, ie, _control_points, _degrees, dim, _cs, _conn, n_el, n_ep, 0) # vals[ip, :] = np.dot(bf, variable[ec]) ec = _conn + n_ep * ie; for ir in range(0, nc): _out.val[ir] = 0.0 for ic in range(0, n_efun): _out.val[ir] += _bf.val[ic] * _vals.val[ec[ic] * nc + ir] _out.val += nc return out sfepy-release_2015.1/sfepy/discrete/iga/extmods/nurbs.c000066400000000000000000000235121247364230400231100ustar00rootroot00000000000000#include "nurbs.h" inline void ravel_multi_index(uint32 *index, uint32 *indices, uint32 *shape, uint32 num) { uint32 ii, stride = 1; uint32 raveled = 0; for (ii = num - 1; ii >= 1; ii--) { raveled += stride * indices[ii]; stride *= shape[ii]; } raveled += stride * indices[0]; *index = raveled; } inline void unravel_index(uint32 *indices, uint32 index, uint32 *shape, uint32 num) { uint32 ii; for (ii = num - 1; ii > 0; ii--) { indices[ii] = index % shape[ii]; index /= shape[ii]; } indices[0] = index % shape[0]; } int32 eval_bernstein_basis(FMField *funs, FMField *ders, float64 x, uint32 degree) { uint32 ip, ifun; uint32 n_fun = degree + 1; float64 prev, tmp; fmf_fillC(funs, 0.0); fmf_fillC(ders, 0.0); funs->val[0] = 1.0; if (degree == 0) { return(RET_OK); } for (ip = 1; ip < n_fun - 1; ip++) { prev = 0.0; for (ifun = 0; ifun < ip + 1; ifun++) { tmp = x * funs->val[ifun]; funs->val[ifun] = (1.0 - x) * funs->val[ifun] + prev; prev = tmp; } } ders->val[0] = degree * (- funs->val[0]); for (ifun = 1; ifun < n_fun; ifun++) { ders->val[ifun] = degree * (funs->val[ifun - 1] - funs->val[ifun]); } prev = 0.0; for (ifun = 0; ifun < n_fun; ifun++) { tmp = x * funs->val[ifun]; funs->val[ifun] = (1.0 - x) * funs->val[ifun] + prev; prev = tmp; } return(RET_OK); } #undef __FUNC__ #define __FUNC__ "eval_bspline_basis_tp" /* dR_dx has shape (dim, n_efun), transposed w.r.t. the Python version! */ int32 eval_bspline_basis_tp(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein) { int32 ret = RET_OK; uint32 ii, jj, a, i0, i1, i2; uint32 n_efuns[3]; uint32 n_efun = 1; uint32 n_els[3]; uint32 ic[3]; int32 *ec; FMField *C, *N0, *N1, *N2, *dN0_dxi, *dN1_dxi, *dN2_dxi; float64 P; #ifdef DEBUG_FMF if (!((dim == qp->nCol) && (dim <= 3))) { errput(ErrHead "inconsistent dimension! (%d == $d <= 3)", dim, qp->nCol); ERR_CheckGo(ret); } #endif for (ii = 0; ii < dim; ii++) { n_efuns[ii] = degrees[ii] + 1; n_efun *= n_efuns[ii]; } #ifdef DEBUG_FMF if (n_efun != n_ep) { errput(ErrHead "inconsistent number of bases! (%d == $d)", n_efun, n_ep); ERR_CheckGo(ret); } #endif // Element connectivity. ec = conn + n_ep * ie; // 1D Bernstein basis B, dB/dxi. if (!has_bernstein) { for (ii = 0; ii < dim; ii++) { eval_bernstein_basis(B + ii, dB_dxi + ii, qp->val[ii], degrees[ii]); } } // 1D B-spline basis N = CB, dN/dxi = C dB/dxi. for (ii = 0; ii < dim; ii++) { n_els[ii] = (cs + ii)->nCell; } unravel_index(ic, ie, n_els, dim); for (ii = 0; ii < dim; ii++) { C = cs + ii; FMF_SetCell(C, ic[ii]); fmf_mulAB_nn(N + ii, C, B + ii); fmf_mulAB_nn(dN_dxi + ii, C, dB_dxi + ii); } ERR_CheckGo(ret); // Tensor-product B-spline basis R, dR/dxi. a = 0; // Basis function index. if (dim == 3) { N0 = N + 0; N1 = N + 1; N2 = N + 2; dN0_dxi = dN_dxi + 0; dN1_dxi = dN_dxi + 1; dN2_dxi = dN_dxi + 2; for (i0 = 0; i0 < n_efuns[0]; i0++) { for (i1 = 0; i1 < n_efuns[1]; i1++) { for (i2 = 0; i2 < n_efuns[2]; i2++) { R->val[a] = N0->val[i0] * N1->val[i1] * N2->val[i2]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0] * N1->val[i1] * N2->val[i2]; dR_dxi->val[a+n_ep*1] = N0->val[i0] * dN1_dxi->val[i1] * N2->val[i2]; dR_dxi->val[a+n_ep*2] = N0->val[i0] * N1->val[i1] * dN2_dxi->val[i2]; a += 1; } } } } else if (dim == 2) { N0 = N + 0; N1 = N + 1; dN0_dxi = dN_dxi + 0; dN1_dxi = dN_dxi + 1; for (i0 = 0; i0 < n_efuns[0]; i0++) { for (i1 = 0; i1 < n_efuns[1]; i1++) { R->val[a] = N0->val[i0] * N1->val[i1]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0] * N1->val[i1]; dR_dxi->val[a+n_ep*1] = N0->val[i0] * dN1_dxi->val[i1]; a += 1; } } } else { // Simple copy here. N0 = N + 0; dN0_dxi = dN_dxi + 0; for (i0 = 0; i0 < n_efuns[0]; i0++) { R->val[a] = N0->val[i0]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0]; a += 1; } } // Mapping reference -> physical domain dxi/dx. // x = sum P_a R_a, dx/dxi = sum P_a dR_a/dxi, invert. for (ii = 0; ii < dim; ii++) { for (jj = 0; jj < dim; jj++) { dx_dxi->val[dim*ii+jj] = 0.0; for (a = 0; a < dR_dxi->nCol; a++) { P = control_points->val[dim*ec[a]+ii]; dx_dxi->val[dim*ii+jj] += P * dR_dxi->val[a+n_ep*jj]; } } } geme_det3x3(det->val, dx_dxi); geme_invert3x3(dxi_dx, dx_dxi); // dR/dx. fmf_mulATB_nn(dR_dx, dxi_dx, dR_dxi); end_label: return(ret); } #undef __FUNC__ #define __FUNC__ "eval_nurbs_basis_tp" /* dR_dx has shape (dim, n_efun), transposed w.r.t. the Python version! */ int32 eval_nurbs_basis_tp(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, FMField *weights, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein) { int32 ret = RET_OK; uint32 ii, jj, a, i0, i1, i2; uint32 n_efuns[3]; uint32 n_efun = 1; uint32 n_els[3]; uint32 ic[3]; int32 *ec; FMField *C, *N0, *N1, *N2, *dN0_dxi, *dN1_dxi, *dN2_dxi; float64 w, W, P; float64 dw_dxi[3]; #ifdef DEBUG_FMF if (!((dim == qp->nCol) && (dim <= 3))) { errput(ErrHead "inconsistent dimension! (%d == $d <= 3)", dim, qp->nCol); ERR_CheckGo(ret); } #endif for (ii = 0; ii < dim; ii++) { n_efuns[ii] = degrees[ii] + 1; n_efun *= n_efuns[ii]; } #ifdef DEBUG_FMF if (n_efun != n_ep) { errput(ErrHead "inconsistent number of bases! (%d == $d)", n_efun, n_ep); ERR_CheckGo(ret); } #endif // Element connectivity. ec = conn + n_ep * ie; // 1D Bernstein basis B, dB/dxi. if (!has_bernstein) { for (ii = 0; ii < dim; ii++) { eval_bernstein_basis(B + ii, dB_dxi + ii, qp->val[ii], degrees[ii]); } } // 1D B-spline basis N = CB, dN/dxi = C dB/dxi. for (ii = 0; ii < dim; ii++) { n_els[ii] = (cs + ii)->nCell; } unravel_index(ic, ie, n_els, dim); for (ii = 0; ii < dim; ii++) { C = cs + ii; FMF_SetCell(C, ic[ii]); fmf_mulAB_nn(N + ii, C, B + ii); fmf_mulAB_nn(dN_dxi + ii, C, dB_dxi + ii); } ERR_CheckGo(ret); // Numerators and denominator for tensor-product NURBS basis R, dR/dxi. w = 0; // w_b for (ii = 0; ii < dim; ii++) { dw_dxi[ii] = 0.0; // dw_b/dxi } a = 0; // Basis function index. if (dim == 3) { N0 = N + 0; N1 = N + 1; N2 = N + 2; dN0_dxi = dN_dxi + 0; dN1_dxi = dN_dxi + 1; dN2_dxi = dN_dxi + 2; for (i0 = 0; i0 < n_efuns[0]; i0++) { for (i1 = 0; i1 < n_efuns[1]; i1++) { for (i2 = 0; i2 < n_efuns[2]; i2++) { W = weights->val[ec[a]]; R->val[a] = N0->val[i0] * N1->val[i1] * N2->val[i2] * W; w += R->val[a]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0] * N1->val[i1] * N2->val[i2] * W; dw_dxi[0] += dR_dxi->val[a+n_ep*0]; dR_dxi->val[a+n_ep*1] = N0->val[i0] * dN1_dxi->val[i1] * N2->val[i2] * W; dw_dxi[1] += dR_dxi->val[a+n_ep*1]; dR_dxi->val[a+n_ep*2] = N0->val[i0] * N1->val[i1] * dN2_dxi->val[i2] * W; dw_dxi[2] += dR_dxi->val[a+n_ep*2]; a += 1; } } } } else if (dim == 2) { N0 = N + 0; N1 = N + 1; dN0_dxi = dN_dxi + 0; dN1_dxi = dN_dxi + 1; for (i0 = 0; i0 < n_efuns[0]; i0++) { for (i1 = 0; i1 < n_efuns[1]; i1++) { W = weights->val[ec[a]]; R->val[a] = N0->val[i0] * N1->val[i1] * W; w += R->val[a]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0] * N1->val[i1] * W; dw_dxi[0] += dR_dxi->val[a+n_ep*0]; dR_dxi->val[a+n_ep*1] = N0->val[i0] * dN1_dxi->val[i1] * W; dw_dxi[1] += dR_dxi->val[a+n_ep*1]; a += 1; } } } else { N0 = N + 0; dN0_dxi = dN_dxi + 0; for (i0 = 0; i0 < n_efuns[0]; i0++) { W = weights->val[ec[a]]; R->val[a] = N0->val[i0] * W; w += R->val[a]; dR_dxi->val[a+n_ep*0] = dN0_dxi->val[i0] * W; dw_dxi[0] += dR_dxi->val[a+n_ep*0]; a += 1; } } // Finish R <- R / w_b. fmf_mulC(R, 1.0 / w); // Finish dR/dxi. D == W C dB/dxi, dR/dxi = (D - R dw_b/dxi) / w_b. for (a = 0; a < dR_dxi->nCol; a++) { for (ii = 0; ii < dim; ii++) { dR_dxi->val[a+n_ep*ii] = (dR_dxi->val[a+n_ep*ii] - R->val[a] * dw_dxi[ii]) / w; } } // Mapping reference -> physical domain dxi/dx. // x = sum P_a R_a, dx/dxi = sum P_a dR_a/dxi, invert. for (ii = 0; ii < dim; ii++) { for (jj = 0; jj < dim; jj++) { dx_dxi->val[dim*ii+jj] = 0.0; for (a = 0; a < dR_dxi->nCol; a++) { P = control_points->val[dim*ec[a]+ii]; dx_dxi->val[dim*ii+jj] += P * dR_dxi->val[a+n_ep*jj]; } } } geme_det3x3(det->val, dx_dxi); geme_invert3x3(dxi_dx, dx_dxi); // dR/dx. fmf_mulATB_nn(dR_dx, dxi_dx, dR_dxi); end_label: return(ret); } sfepy-release_2015.1/sfepy/discrete/iga/extmods/nurbs.h000066400000000000000000000034141247364230400231140ustar00rootroot00000000000000#ifndef _NURBS_H_ #define _NURBS_H_ 1 #ifdef __cplusplus # define BEGIN_C_DECLS extern "C" { # define END_C_DECLS } #else # define BEGIN_C_DECLS # define END_C_DECLS #endif #include "types.h" #include "version.h" #include "fmfield.h" #include "geommech.h" void ravel_multi_index(uint32 *index, uint32 *indices, uint32 *shape, uint32 num); void unravel_index(uint32 *indices, uint32 index, uint32 *shape, uint32 num); int32 eval_bernstein_basis(FMField *funs, FMField *ders, float64 x, uint32 degree); int32 eval_bspline_basis_tp(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein); int32 eval_nurbs_basis_tp(FMField *R, FMField *dR_dx, FMField *det, FMField *dR_dxi, FMField *dx_dxi, FMField *dxi_dx, FMField *B, FMField *dB_dxi, FMField *N, FMField *dN_dxi, FMField *qp, uint32 ie, FMField *control_points, FMField *weights, int32 *degrees, int32 dim, FMField *cs, int32 *conn, int32 n_el, int32 n_ep, int32 has_bernstein); #endif /* !NURBS_H */ sfepy-release_2015.1/sfepy/discrete/iga/extmods/setup.py000066400000000000000000000023761247364230400233320ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): import os.path as op from numpy.distutils.misc_util import Configuration from sfepy import Config site_config = Config() os_flag = {'posix' : 0, 'windows' : 1} auto_dir = op.dirname(__file__) auto_name = op.split(auto_dir)[-1] config = Configuration(auto_name, parent_package, top_path) defines = [('__SDIR__', "'\"%s\"'" % auto_dir), ('SFEPY_PLATFORM', os_flag[site_config.system()])] if '-DDEBUG_FMF' in site_config.debug_flags(): defines.append(('DEBUG_FMF', None)) common_path = '../../fem/extmods' fem_src = ['fmfield.c', 'geommech.c', 'common_python.c'] fem_src = [op.join(common_path, ii) for ii in fem_src] src = ['igac.pyx', 'nurbs.c'] config.add_extension('igac', sources=src + fem_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir, common_path], define_macros=defines) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/iga/fields.py000066400000000000000000000330411247364230400217460ustar00rootroot00000000000000""" Fields for isogeometric analysis. """ import numpy as nm from sfepy.base.base import assert_, basestr, Struct from sfepy.discrete.common.fields import parse_shape, Field from sfepy.discrete.iga.mappings import IGMapping from sfepy.discrete.iga.iga import get_bezier_element_entities def parse_approx_order(approx_order): if (approx_order is None): return 0 aux = approx_order.split('+') if len(aux) == 2: return int(aux[1]) else: return 0 class IGField(Field): """ Bezier extraction based NURBS field for isogeometric analysis. Notes ----- The field has to cover the whole IGA domain. The field's NURBS basis can have higher degree than the domain NURBS basis. """ family_name = 'volume_H1_iga' def __init__(self, name, dtype, shape, region, approx_order=None, **kwargs): """ Create a Bezier element isogeometric analysis field. Parameters ---------- name : str The field name. dtype : numpy.dtype The field data type: float64 or complex128. shape : int/tuple/str The field shape: 1 or (1,) or 'scalar', space dimension (2, or (2,) or 3 or (3,)) or 'vector', or a tuple. The field shape determines the shape of the FE base functions and is related to the number of components of variables and to the DOF per node count, depending on the field kind. region : Region The region where the field is defined. approx_order : str or tuple, optional The field approximation order string or tuple with the first component in the form 'iga+'. Other components are ignored. The nonnegative int corresponds to the number of times the degree is elevated by one w.r.t. the domain NURBS description. **kwargs : dict Additional keyword arguments. """ shape = parse_shape(shape, region.domain.shape.dim) if approx_order is None: elevate_times = 0 else: if isinstance(approx_order, basestr): approx_order = (approx_order,) elevate_times = parse_approx_order(approx_order[0]) Struct.__init__(self, name=name, dtype=dtype, shape=shape, region=region, elevate_times=elevate_times) self.domain = self.region.domain self.nurbs = self.domain.nurbs.elevate(elevate_times) self._setup_kind() self.n_components = nm.prod(self.shape) self.val_shape = self.shape self.n_nod = self.nurbs.weights.shape[0] self.n_efun = nm.prod(self.nurbs.degrees + 1) self.mappings = {} self.igs = self.region.igs self.is_surface = False def _get_facets(self, tdim): aux = get_bezier_element_entities(self.nurbs.degrees) return aux[2 - tdim] def get_true_order(self): return nm.prod(self.nurbs.degrees) def is_higher_order(self): """ Return True, if the field's approximation order is greater than one. """ return (self.nurbs.degrees > 1).any() def get_econn(self, conn_type, region, ig, is_trace=False, integration=None): """ Get DOF connectivity of the given type in the given region. """ ct = conn_type.type if isinstance(conn_type, Struct) else conn_type if (ig not in self.igs) or (ig not in region.igs): return None nconn = self.nurbs.conn if ct == 'volume': if region.name == self.region.name: conn = nconn else: cells = region.get_cells(ig, true_cells_only=True) conn = nm.take(nconn, cells.astype(nm.int32), axis=0) elif ct == 'surface': fis = region.get_facet_indices(ig, offset=False, force_ig=False) tdim = region.kind_tdim facets = self._get_facets(tdim) conn = [] for ii, fi in enumerate(fis): conn.append(nconn[fi[0], facets[fi[1]]]) else: raise ValueError('unsupported connectivity type! (%s)' % ct) return conn def get_data_shape(self, ig, integral, integration='volume', region_name=None): """ Get element data dimensions. Parameters ---------- ig : int The element group index. integral : Integral instance The integral describing used numerical quadrature. integration : 'volume', 'plate', 'surface', 'surface_extra' or 'point' The term integration type. region_name : str The name of surface region, required when `shape_kind` is 'surface'. Returns ------- data_shape : 4 ints The `(n_el, n_qp, dim, n_en)` for volume shape kind. Notes ----- - `n_el` = number of elements - `n_qp` = number of quadrature points per element/facet - `dim` = spatial dimension - `n_en` = number of element nodes """ region = self.domain.regions[region_name] shape = region.shape[ig] dim = region.dim _, weights = integral.get_qp(self.domain.gel.name) n_qp = weights.shape[0] data_shape = (shape.n_cell, n_qp, dim, self.n_efun) return data_shape def get_dofs_in_region_group(self, region, ig, merge=True): """ Return indices of DOFs that belong to the given region and group. Notes ----- `ig`, `merge` are not used. """ idim = region.kind_tdim if idim < (self.domain.shape.tdim - 1): raise ValueError('region "%s" has no facets or cells!' % region.name) if idim == region.tdim: # Cells. rconn = self.get_econn('volume', region, ig) dofs = nm.unique(rconn) else: # Facets. rconn = self.get_econn('surface', region, ig) dofs = nm.unique(nm.concatenate(rconn)) if not merge: dofs = [dofs] return dofs def set_dofs(self, fun=0.0, region=None, dpn=None, warn=None): """ Set the values of DOFs given by the `region` using a function of space coordinates or value `fun`. If `fun` is a function, the l2 projection that is global for all region facets is used to set the DOFs. If `dpn > 1`, and `fun` is a function, it has to return the values DOF-by-DOF, i.e. a single one-dimensional vector with all values of the first component, then of the second one etc. concatenated together. Parameters ---------- fun : float or array of length dpn or callable The DOF values. region : Region The region containing the DOFs. dpn : int, optional The DOF-per-node count. If not given, the number of field components is used. warn : str, optional The warning message printed when the region selects no DOFs. Returns ------- nods : array, shape (n_dof,) The field DOFs (or node indices) given by the region. vals : array, shape (dpn, n_dof) The values of the DOFs, DOF-by-DOF when raveled in C (row-major) order. """ if region is None: region = self.region if dpn is None: dpn = self.n_components nods = [] vals = [] aux = self.get_dofs_in_region(region, clean=True, warn=warn) nods = nm.unique(nm.hstack(aux)) if nm.isscalar(fun): vals = nm.repeat([fun], nods.shape[0] * dpn) elif isinstance(fun, nm.ndarray): assert_(len(fun) == dpn) vals = nm.repeat(fun, nods.shape[0]) elif callable(fun): import scipy.sparse as sps from sfepy.solvers.ls import solve from sfepy.discrete.integrals import Integral from sfepy.discrete.fem.utils import prepare_remap import sfepy.discrete.iga as iga from sfepy.discrete.iga.extmods.igac import eval_mapping_data_in_qp nurbs = self.nurbs facets = self._get_facets(region.kind_tdim) # Region facet connectivity. rconn = self.get_econn('surface', region, region.igs[0]) # Local connectivity. remap = prepare_remap(nods, nods.max() + 1) lconn = [remap[ii] for ii in rconn] # Cell and face(cell) ids for each facet. fis = region.get_facet_indices(0, offset=False, force_ig=False) # Integral given by max. NURBS surface degree. fdegrees = iga.get_surface_degrees(nurbs.degrees) order = fdegrees.max() integral = Integral('i', order=2*order) vals, weights = integral.get_qp(self.domain.gel.surface_facet_name) # Boundary QP - use tensor product structure. bvals = iga.create_boundary_qp(vals, region.tdim) # Compute facet basis, jacobians and physical BQP. n_dof = len(nods) rhs = nm.zeros((dpn, n_dof), dtype=nm.float64) rows, cols, mvals = [], [], [] all_qp = [] all_fbfs = [] all_dets = [] for ii, (ie, ifa) in enumerate(fis): qp_coors = bvals[ifa] bfs, _, dets = eval_mapping_data_in_qp(qp_coors, nurbs.cps, nurbs.weights, nurbs.degrees, nurbs.cs, nurbs.conn, nm.array([ie])) # Facet basis. fbfs = bfs[..., facets[ifa]][0, :, 0, :] # Weight Jacobians by quadrature point weights. dets = nm.abs(dets) * weights[None, :, None, None] dets = dets[0, :, 0, :] # Physical BQP. fcps = nurbs.cps[nurbs.conn[ie, facets[ifa]]] qp = nm.dot(fbfs, fcps) all_qp.append(qp) all_fbfs.append(fbfs) all_dets.append(dets) # DOF values in the physical BQP. qps = nm.concatenate(all_qp) vals = nm.asarray(fun(qps)) vals.shape = (dpn, qps.shape[0]) n_qp_face = len(bvals[0]) # Assemble l2 projection system. for ii, (ie, ifa) in enumerate(fis): # Assembling indices. elc = lconn[ii] fvals = vals[:, n_qp_face * ii : n_qp_face * (ii + 1)] fbfs = all_fbfs[ii] dets = all_dets[ii] # Local projection system. for idof in xrange(dpn): lrhs = (fbfs * (fvals[idof, :, None] * dets)).sum(0) rhs[idof, elc] += lrhs lmtx = ((fbfs[..., None] * fbfs[:, None, :]) * dets[..., None]).sum(0) er, ec = nm.meshgrid(elc, elc) rows.append(er.ravel()) cols.append(ec.ravel()) mvals.append(lmtx.ravel()) rows = nm.concatenate(rows) cols = nm.concatenate(cols) mvals = nm.concatenate(mvals) mtx = sps.coo_matrix((mvals, (rows, cols)), shape=(n_dof, n_dof)) vals = nm.zeros((dpn, n_dof), dtype=nm.float64) # Solve l2 projection system. for idof in xrange(dpn): dofs = solve(mtx, rhs[idof, :]) vals[idof, remap[nods]] = dofs else: raise ValueError('unknown function/value type! (%s)' % type(fun)) return nods, vals def setup_extra_data(self, geometry, info, is_trace): dct = info.dc_type.type if dct != 'volume': raise ValueError('unknown dof connectivity type! (%s)' % dct) def create_mapping(self, ig, region, integral, integration): """ Create a new reference mapping. """ vals, weights = integral.get_qp(self.domain.gel.name) mapping = IGMapping(self.domain, region.cells, nurbs=self.nurbs) cmap = mapping.get_mapping(vals, weights) return cmap, mapping def create_output(self, dofs, var_name, dof_names=None, key=None, **kwargs): """ Convert the DOFs corresponding to the field to a dictionary of output data usable by Mesh.write(). Parameters ---------- dofs : array, shape (n_nod, n_component) The array of DOFs reshaped so that each column corresponds to one component. var_name : str The variable name corresponding to `dofs`. dof_names : tuple of str The names of DOF components. key : str, optional The key to be used in the output dictionary instead of the variable name. Returns ------- out : dict The output dictionary. """ from sfepy.discrete.iga.utils import create_mesh_and_output key = key if key is not None else var_name num = 25 if self.region.dim == 3 else 101 pars = (nm.linspace(0, 1, num),) * self.region.dim mesh, out = create_mesh_and_output(self.nurbs, pars, **{key : dofs}) out[key].var_name = var_name out[key].dofs = dof_names out['__mesh__'] = mesh return out sfepy-release_2015.1/sfepy/discrete/iga/iga.py000066400000000000000000000723041247364230400212450ustar00rootroot00000000000000""" Isogeometric analysis utilities. Notes ----- The functions :func:`compute_bezier_extraction_1d()` and :func:`eval_nurbs_basis_tp()` implement the algorithms described in [1]. [1] Michael J. Borden, Michael A. Scott, John A. Evans, Thomas J. R. Hughes: Isogeometric finite element data structures based on Bezier extraction of NURBS, Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, Texas, March 2010. """ import numpy as nm from sfepy.base.base import assert_ def _get_knots_tuple(knots): if isinstance(knots, nm.ndarray) and (knots.ndim == 1): knots = (knots,) elif not isinstance(knots, tuple): raise ValueError('knots must be 1D array or a tuple of 1D arrays!') return knots def get_raveled_index(indices, shape): """ Get a global raveled index corresponding to nD indices into an array of the given shape. """ return nm.ravel_multi_index(indices, shape) def get_unraveled_indices(index, shape): """ Get nD indices into an array of the given shape corresponding to a global raveled index. """ return nm.unravel_index(index, shape) def tensor_product(a, b): """ Compute tensor product of two 2D arrays with possibly different shapes. The result has the form:: c = [[a00 b, a01 b, ...], [a10 b, a11 b, ...], ... ... ] """ c = nm.empty((a.shape[0] * b.shape[0], a.shape[1] * b.shape[1]), dtype=b.dtype) n0 = b.shape[0] n1 = b.shape[1] for ir in xrange(a.shape[0]): for ic in xrange(a.shape[1]): c[n1 * ir : n1 * (ir + 1), n0 * ic : n0 * (ic + 1)] = a[ir, ic] * b return c def compute_bezier_extraction_1d(knots, degree): """ Compute local (element) Bezier extraction operators for a 1D B-spline parametric domain. Parameters ---------- knots : array The knot vector. degree : int The curve degree. Returns ------- cs : array of 2D arrays (3D array) The element extraction operators. """ knots = nm.asarray(knots, dtype=nm.float64) n_knots = knots.shape[0] a = degree b = a + 1 # The first element extraction operator. cs = [nm.eye(degree + 1, degree + 1, dtype=nm.float64)] while (b + 1) < n_knots: # The current extraction operator. cc = cs[-1] # Multiplicity of the knot at location b. b0 = b while ((b + 1) < n_knots) and (knots[b] == knots[b + 1]): b += 1 mult = b - b0 + 1 # The next extraction operator. if (b + 1) < n_knots: cn = nm.eye(degree + 1, degree + 1, dtype=nm.float64) cs.append(cn) if mult < degree: alphas = nm.zeros(degree - mult, dtype=nm.float64) numer = knots[b] - knots[a] for ij in xrange(degree, mult, -1): alphas[ij - mult - 1] = numer / (knots[a + ij] - knots[a]) r = degree - mult for ij in xrange(0, r): save = r - ij - 1 s = mult + ij for ik in xrange(degree, s, -1): alpha = alphas[ik - s - 1] cc[:, ik] = (alpha * cc[:, ik] + (1.0 - alpha) * cc[:, ik - 1]) if (b + 1) < n_knots: # Update overlapping coefficients for the next operator. cn[save : ij + save + 2, save] = cc[degree - ij - 1: degree + 1, degree] if (b + 1) < n_knots: # The next knot vector interval. a = b b = b + 1 return nm.asarray(cs, dtype=nm.float64) def compute_bezier_extraction(knots, degrees): """ Compute local (element) Bezier extraction operators for a nD B-spline parametric domain. Parameters ---------- knots : sequence of array or array The knot vectors. degrees : sequence of ints or int Polynomial degrees in each parametric dimension. Returns ------- cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. """ if isinstance(degrees, int): degrees = [degrees] knots = _get_knots_tuple(knots) dim = len(knots) assert_(dim == len(degrees)) cs = [] for ii, knots1d in enumerate(knots): cs1d = compute_bezier_extraction_1d(knots1d, degrees[ii]) cs.append(cs1d) return cs def combine_bezier_extraction(cs): """ For a nD B-spline parametric domain, combine the 1D element extraction operators in each parametric dimension into a single operator for each nD element. Parameters ---------- cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. Returns ------- ccs : list of 2D arrays The combined element extraction operators. """ dim = len(cs) if dim == 3: c0, c1, c2 = cs[0], cs[1], cs[2] ncc = (len(c0), len(c1), len(c2)) ccs = [None] * nm.prod(ncc) for i0 in xrange(len(c0)): for i1 in xrange(len(c1)): for i2 in xrange(len(c2)): cc = tensor_product(c0[i0], tensor_product(c1[i1], c2[i2])) ii = get_raveled_index([i0, i1, i2], ncc) ccs[ii] = cc elif dim == 2: c0, c1 = cs[0], cs[1] ncc = (len(c0), len(c1)) ccs = [None] * nm.prod(ncc) for i0 in xrange(len(c0)): for i1 in xrange(len(c1)): cc = tensor_product(c0[i0], c1[i1]) ii = get_raveled_index([i0, i1], ncc) ccs[ii] = cc else: ccs = cs[0] return ccs def create_connectivity_1d(n_el, knots, degree): """ Create connectivity arrays of 1D Bezier elements. Parameters ---------- n_el : int The number of elements. knots : array The knot vector. degree : int The basis degree. Returns ------- conn : array The connectivity of the global NURBS basis. bconn : array The connectivity of the Bezier basis. """ # Get multiplicities of NURBS knots. n_knots = len(knots) mul = [0] ii = degree + 1 while ii < (n_knots - degree - 1): i0 = ii while (ii < (n_knots - degree - 2)) and (knots[ii] == knots[ii + 1]): ii += 1 mul.append(ii - i0 + 1) ii += 1 mul = nm.array(mul)[:, None] aux1 = nm.arange(degree + 1)[None, :] conn = aux1 + nm.cumsum(mul, 0) # Bezier basis knots have multiplicity equal to degree. aux2 = nm.arange(n_el)[:, None] bconn = aux1 + degree * aux2 return conn.astype(nm.int32), bconn.astype(nm.int32) def create_connectivity(n_els, knots, degrees): """ Create connectivity arrays of nD Bezier elements. Parameters ---------- n_els : sequence of ints The number of elements in each parametric dimension. knots : sequence of array or array The knot vectors. degrees : sequence of ints or int The basis degrees in each parametric dimension. Returns ------- conn : array The connectivity of the global NURBS basis. bconn : array The connectivity of the Bezier basis. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) knots = _get_knots_tuple(knots) dim = len(n_els) assert_(dim == len(degrees) == len(knots)) conns = [] bconns = [] n_gfuns = [] n_gbfuns = [] for ii, n_el in enumerate(n_els): conn1d, bconn1d = create_connectivity_1d(n_el, knots[ii], degrees[ii]) conns.append(conn1d) bconns.append(bconn1d) n_gfuns.append(conn1d.max() + 1) n_gbfuns.append(bconn1d.max() + 1) n_el = nm.prod(n_els) n_efuns = degrees + 1 n_efun = nm.prod(n_efuns) if dim == 3: def make_conn_3d(conns, n_gfuns): conn = nm.empty((n_el, n_efun), dtype=nm.int32) for ie0 in xrange(n_els[0]): c0 = conns[0][ie0] for ie1 in xrange(n_els[1]): c1 = conns[1][ie1] for ie2 in xrange(n_els[2]): c2 = conns[2][ie2] ie = get_raveled_index([ie0, ie1, ie2], n_els) for il0 in xrange(n_efuns[0]): cl0 = c0[il0] for il1 in xrange(n_efuns[1]): cl1 = c1[il1] for il2 in xrange(n_efuns[2]): cl2 = c2[il2] iloc = get_raveled_index([il0, il1, il2], n_efuns) ig = get_raveled_index([cl0, cl1, cl2], n_gfuns) conn[ie, iloc] = ig return conn conn = make_conn_3d(conns, n_gfuns) bconn = make_conn_3d(bconns, n_gbfuns) elif dim == 2: def make_conn_2d(conns, n_gfuns): conn = nm.empty((n_el, n_efun), dtype=nm.int32) for ie0 in xrange(n_els[0]): c0 = conns[0][ie0] for ie1 in xrange(n_els[1]): c1 = conns[1][ie1] ie = get_raveled_index([ie0, ie1], n_els) for il0 in xrange(n_efuns[0]): cl0 = c0[il0] for il1 in xrange(n_efuns[1]): cl1 = c1[il1] iloc = get_raveled_index([il0, il1], n_efuns) ig = get_raveled_index([cl0, cl1], n_gfuns) conn[ie, iloc] = ig return conn conn = make_conn_2d(conns, n_gfuns) bconn = make_conn_2d(bconns, n_gbfuns) else: conn = conns[0] bconn = bconns[0] return conn, bconn def compute_bezier_control(control_points, weights, ccs, conn, bconn): """ Compute the control points and weights of the Bezier mesh. Parameters ---------- control_points : array The NURBS control points. weights : array The NURBS weights. ccs : list of 2D arrays The combined element extraction operators. conn : array The connectivity of the global NURBS basis. bconn : array The connectivity of the Bezier basis. Returns ------- bezier_control_points : array The control points of the Bezier mesh. bezier_weights : array The weights of the Bezier mesh. """ n_bpoints = bconn.max() + 1 dim = control_points.shape[1] bezier_control_points = nm.zeros((n_bpoints, dim), dtype=nm.float64) bezier_weights = nm.zeros(n_bpoints, dtype=nm.float64) for ie, ec in enumerate(conn): cc = ccs[ie] bec = bconn[ie] ew = weights[ec] ecp = control_points[ec] bew = nm.dot(cc.T, ew) becp = (1.0 / bew[:, None]) * nm.dot(cc.T, ew[:, None] * ecp) bezier_control_points[bec] = becp bezier_weights[bec] = bew return bezier_control_points, bezier_weights def get_bezier_topology(bconn, degrees): """ Get a topology connectivity corresponding to the Bezier mesh connectivity. In the referenced Bezier control points the Bezier mesh is interpolatory. Parameters ---------- bconn : array The connectivity of the Bezier basis. degrees : sequence of ints or int The basis degrees in each parametric dimension. Returns ------- tconn : array The topology connectivity (corner nodes, or vertices, of Bezier elements) with vertex ordering suitable for a FE mesh. """ shape = nm.asarray(degrees) + 1 dim = len(shape) ii = nm.arange(bconn.shape[1]).reshape(shape) if dim == 3: corners = [ii[0, 0, 0], ii[-1, 0, 0], ii[-1, -1, 0], ii[0, -1, 0], ii[0, 0, -1], ii[-1, 0, -1], ii[-1, -1, -1], ii[0, -1, -1]] elif dim == 2: corners = [ii[0, 0], ii[-1, 0], ii[-1, -1], ii[0, -1]] else: corners = [ii[0], ii[-1]] tconn = bconn[:, corners] return tconn def get_patch_box_regions(n_els, degrees): """ Get box regions of Bezier topological mesh in terms of element corner vertices of Bezier mesh. Parameters ---------- n_els : sequence of ints The number of elements in each parametric dimension. degrees : sequence of ints or int Polynomial degrees in each parametric dimension. Returns ------- regions : dict The Bezier mesh vertices of box regions. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) n_els = nm.asarray(n_els) dim = len(n_els) shape = n_els * degrees + 1 regions = {} if dim == 3: aux0 = nm.arange(0, shape[2], degrees[2], dtype=nm.uint32) aux1 = nm.arange(0, shape[2] * shape[1], shape[2] * degrees[1], dtype=nm.uint32) aux2 = nm.arange(0, shape[2] * shape[1] * shape[0], shape[2] * shape[1] * degrees[0], dtype=nm.uint32) aux01 = (aux0[None, :] + aux1[:, None]).ravel() aux02 = (aux0[None, :] + aux2[:, None]).ravel() aux12 = (aux1[None, :] + aux2[:, None]).ravel() regions.update({ 'xi00' : aux01, 'xi01' : aux01 + shape[2] * shape[1] * (shape[0] - 1), 'xi10' : aux02, 'xi11' : aux02 + shape[2] * (shape[1] - 1), 'xi20' : aux12, 'xi21' : aux12 + shape[2] - 1, }) elif dim == 2: aux0 = nm.arange(0, shape[1], degrees[1], dtype=nm.uint32) aux1 = nm.arange(0, shape[1] * shape[0], shape[1] * degrees[0], dtype=nm.uint32) regions.update({ 'xi00' : aux0, 'xi01' : aux0 + shape[1] * (shape[0] - 1), 'xi10' : aux1, 'xi11' : aux1 + shape[1] - 1, }) else: regions.update({ 'xi00' : nm.array([0], dtype=nm.uint32), 'xi01' : nm.array([shape[0] - 1], dtype=nm.uint32), }) return regions def get_facet_axes(dim): """ For each reference Bezier element facet return the facet axes followed by the remaining (perpendicular) axis, as well as the remaining axis coordinate of the facet. Parameters ---------- dim : int The topological dimension. Returns ------- axes : array The axes of the reference element facets. coors : array The remaining coordinate of the reference element facets. """ if dim == 3: axes = [[1, 0, 2], [2, 1, 0], [0, 2, 1], [0, 1, 2], [1, 2, 0], [2, 0, 1]] coors = [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] elif dim == 2: axes = [[0, 1], [1, 0], [0, 1], [1, 0]] coors = [0.0, 1.0, 1.0, 0.0] else: axes = [[0]] coors = None return nm.array(axes, dtype=nm.uint32), nm.array(coors, dtype=nm.float64) def get_surface_degrees(degrees): """ Get degrees of the NURBS patch surfaces. Parameters ---------- degrees : sequence of ints or int Polynomial degrees in each parametric dimension. Returns ------- sdegrees : list of arrays The degrees of the patch surfaces, in the order of the reference Bezier element facets. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) dim = len(degrees) if dim == 3: sdegrees = [(degrees[0], degrees[1]), (degrees[1], degrees[2]), (degrees[0], degrees[2]), (degrees[0], degrees[1]), (degrees[1], degrees[2]), (degrees[0], degrees[2])] sdegrees = nm.array(sdegrees, dtype=nm.uint32) elif dim == 2: sdegrees = degrees[[0, 1, 0, 1]] else: sdegrees = None return sdegrees def create_boundary_qp(coors, dim): """ Create boundary quadrature points from the surface quadrature points. Uses the Bezier element tensor product structure. Parameters ---------- coors : array, shape (n_qp, d) The coordinates of the surface quadrature points. dim : int The topological dimension. Returns ------- bcoors : array, shape (n_qp, d + 1) The coordinates of the boundary quadrature points. """ # Boundary QP - use tensor product structure. axes, acoors = get_facet_axes(dim) n_f = len(axes) bcoors = nm.empty((n_f, coors.shape[0], coors.shape[1] + 1), dtype=nm.float64) ii = nm.arange(bcoors.shape[1], dtype=nm.uint32) for ik in xrange(n_f): for ic in xrange(bcoors.shape[2] - 1): bcoors[ik, :, axes[ik, ic]] = coors[:, ic] bcoors[ik, ii, axes[ik, -1]] = acoors[ik] return bcoors def get_bezier_element_entities(degrees): """ Get faces and edges of a Bezier mesh element in terms of indices into the element's connectivity (reference Bezier element entities). Parameters ---------- degrees : sequence of ints or int Polynomial degrees in each parametric dimension. Returns ------- faces : list of arrays The indices for each face or None if not 3D. edges : list of arrays The indices for each edge or None if not at least 2D. vertices : list of arrays The indices for each vertex. Notes ----- The ordering of faces and edges has to be the same as in :data:`sfepy.discrete.fem.geometry_element.geometry_data`. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) dim = len(degrees) shape = degrees + 1 n_dof = nm.prod(shape) aux = nm.arange(n_dof, dtype=nm.uint32).reshape(shape) if dim == 3: faces = [aux[:, :, 0], aux[0, :, :], aux[:, 0, :], aux[:, :, -1], aux[-1, :, :], aux[:, -1, :]] faces = [ii.ravel() for ii in faces] edges = [aux[:, 0, 0], aux[-1, :, 0], aux[:, -1, 0], aux[0, :, 0], aux[:, 0, -1], aux[-1, :, -1], aux[:, -1, -1], aux[0, :, -1], aux[0, 0, :], aux[0, -1, :], aux[-1, -1, :], aux[-1, 0, :]] vertices = [aux[0, 0, 0], aux[-1, 0, 0], aux[-1, -1, 0], aux[0, -1, 0], aux[0, 0, -1], aux[-1, 0, -1], aux[-1, -1, -1], aux[0, -1, -1]] vertices = [ii[None] for ii in vertices] elif dim == 2: faces = None edges = [aux[:, 0], aux[-1, :], aux[:, -1], aux[0, :]] vertices = [aux[0, 0], aux[-1, 0], aux[-1, -1], aux[0, -1]] vertices = [ii[None] for ii in vertices] else: faces, edges = None, None vertices = [aux[:1], aux[-1:]] return faces, edges, vertices def eval_bernstein_basis(x, degree): """ Evaluate the Bernstein polynomial basis of the given `degree`, and its derivatives, in a point `x` in [0, 1]. Parameters ---------- x : float The point in [0, 1]. degree : int The basis degree. Returns ------- funs : array The `degree + 1` values of the Bernstein polynomial basis. ders : array The `degree + 1` values of the Bernstein polynomial basis derivatives. """ n_fun = degree + 1 funs = nm.zeros(n_fun, dtype=nm.float64) ders = nm.zeros(n_fun, dtype=nm.float64) funs[0] = 1.0 if degree == 0: return funs, ders for ip in xrange(1, n_fun - 1): prev = 0.0 for ifun in xrange(ip + 1): tmp = x * funs[ifun] funs[ifun] = (1.0 - x) * funs[ifun] + prev prev = tmp for ifun in xrange(n_fun): ders[ifun] = degree * (funs[ifun - 1] - funs[ifun]) prev = 0.0 for ifun in xrange(n_fun): tmp = x * funs[ifun] funs[ifun] = (1.0 - x) * funs[ifun] + prev prev = tmp return funs, ders def eval_nurbs_basis_tp(qp, ie, control_points, weights, degrees, cs, conn): """ Evaluate the tensor-product NURBS shape functions in a quadrature point for a given Bezier element. Parameters ---------- qp : array The quadrature point coordinates with components in [0, 1] reference element domain. ie : int The Bezier element index. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. Returns ------- R : array The NURBS shape functions. dR_dx : array The NURBS shape functions derivatives w.r.t. the physical coordinates. det : array The Jacobian of the mapping to the unit reference element. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) dim = len(degrees) assert_(dim == len(qp) == len(cs)) n_efuns = degrees + 1 n_efun = nm.prod(n_efuns) n_efuns_max = n_efuns.max() assert_(n_efun == conn.shape[1]) # Element connectivity. ec = conn[ie] # Element control points and weights. W = weights[ec] P = control_points[ec] # 1D Bernstein basis B, dB/dxi. B = nm.empty((dim, n_efuns_max), dtype=nm.float64) dB_dxi = nm.empty((dim, n_efuns_max), dtype=nm.float64) for ii in xrange(dim): (B[ii, :n_efuns[ii]], dB_dxi[ii, :n_efuns[ii]]) = eval_bernstein_basis(qp[ii], degrees[ii]) # 1D B-spline basis N = CB, dN/dxi = C dB/dxi. N = nm.empty((dim, n_efuns_max), dtype=nm.float64) dN_dxi = nm.empty((dim, n_efuns_max), dtype=nm.float64) n_els = [len(ii) for ii in cs] ic = get_unraveled_indices(ie, n_els) for ii in xrange(dim): C = cs[ii][ic[ii]] N[ii, :n_efuns[ii]] = nm.dot(C, B[ii, :n_efuns[ii]]) dN_dxi[ii, :n_efuns[ii]] = nm.dot(C, dB_dxi[ii, :n_efuns[ii]]) # Numerators and denominator for tensor-product NURBS basis R, dR/dxi. R = nm.empty(n_efun, dtype=nm.float64) dR_dxi = nm.empty((n_efun, dim), dtype=nm.float64) w = 0 # w_b dw_dxi = nm.zeros(dim, dtype=nm.float64) # dw_b/dxi a = 0 # Basis function index. if dim == 3: for i0 in xrange(n_efuns[0]): for i1 in xrange(n_efuns[1]): for i2 in xrange(n_efuns[2]): R[a] = N[0, i0] * N[1, i1] * N[2, i2] * W[a] w += R[a] dR_dxi[a, 0] = dN_dxi[0, i0] * N[1, i1] * N[2, i2] * W[a] dw_dxi[0] += dR_dxi[a, 0] dR_dxi[a, 1] = N[0, i0] * dN_dxi[1, i1] * N[2, i2] * W[a] dw_dxi[1] += dR_dxi[a, 1] dR_dxi[a, 2] = N[0, i0] * N[1, i1] * dN_dxi[2, i2] * W[a] dw_dxi[2] += dR_dxi[a, 2] a += 1 elif dim == 2: for i0 in xrange(n_efuns[0]): for i1 in xrange(n_efuns[1]): R[a] = N[0, i0] * N[1, i1] * W[a] w += R[a] dR_dxi[a, 0] = dN_dxi[0, i0] * N[1, i1] * W[a] dw_dxi[0] += dR_dxi[a, 0] dR_dxi[a, 1] = N[0, i0] * dN_dxi[1, i1] * W[a] dw_dxi[1] += dR_dxi[a, 1] a += 1 else: for i0 in xrange(n_efuns[0]): R[a] = N[0, i0] * W[a] w += R[a] dR_dxi[a, 0] = dN_dxi[0, i0] * W[a] dw_dxi[0] += dR_dxi[a, 0] a += 1 # Finish R <- R / w_b. R /= w # Finish dR/dxi. D == W C dB/dxi, dR/dxi = (D - R dw_b/dxi) / w_b. dR_dxi = (dR_dxi - R[:, None] * dw_dxi) / w # Mapping reference -> physical domain dxi/dx. # x = sum P_a R_a, dx/dxi = sum P_a dR_a/dxi, invert. dx_dxi = nm.dot(P.T, dR_dxi) det = nm.linalg.det(dx_dxi) dxi_dx = nm.linalg.inv(dx_dxi) # dR/dx. dR_dx = nm.dot(dR_dxi, dxi_dx) return R, dR_dx, det def eval_mapping_data_in_qp(qps, control_points, weights, degrees, cs, conn, cells=None): """ Evaluate data required for the isogeometric domain reference mapping in the given quadrature points. The quadrature points are the same for all Bezier elements and should correspond to the Bernstein basis degree. Parameters ---------- qps : array The quadrature points coordinates with components in [0, 1] reference element domain. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. cells : array, optional If given, use only the given Bezier elements. Returns ------- bfs : array The NURBS shape functions in the physical quadrature points of all elements. bfgs : array The NURBS shape functions derivatives w.r.t. the physical coordinates in the physical quadrature points of all elements. dets : array The Jacobians of the mapping to the unit reference element in the physical quadrature points of all elements. """ if cells is None: cells = nm.arange(conn.shape[0]) n_el = len(cells) n_qp = qps.shape[0] dim = control_points.shape[1] n_efuns = degrees + 1 n_efun = nm.prod(n_efuns) # Output Jacobians. dets = nm.empty((n_el, n_qp, 1, 1), dtype=nm.float64) # Output shape functions. bfs = nm.empty((n_el, n_qp, 1, n_efun), dtype=nm.float64) # Output gradients of shape functions. bfgs = nm.empty((n_el, n_qp, dim, n_efun), dtype=nm.float64) # Loop over elements. for iseq, ie in enumerate(cells): # Loop over quadrature points. for iqp, qp in enumerate(qps): bf, bfg, det = eval_nurbs_basis_tp(qp, ie, control_points, weights, degrees, cs, conn) bfs[iseq, iqp] = bf bfgs[iseq, iqp] = bfg.T dets[iseq, iqp] = det return bfs, bfgs, dets def eval_variable_in_qp(variable, qps, control_points, weights, degrees, cs, conn, cells=None): """ Evaluate a field variable in the given quadrature points. The quadrature points are the same for all Bezier elements and should correspond to the Bernstein basis degree. The field variable is defined by its DOFs - the coefficients of the NURBS basis. Parameters ---------- variable : array The DOF values of the variable with n_c components, shape (:, n_c). qps : array The quadrature points coordinates with components in [0, 1] reference element domain. control_points : array The NURBS control points. weights : array The NURBS weights. degrees : sequence of ints or int The basis degrees in each parametric dimension. cs : list of lists of 2D arrays The element extraction operators in each parametric dimension. conn : array The connectivity of the global NURBS basis. cells : array, optional If given, use only the given Bezier elements. Returns ------- coors : array The physical coordinates of the quadrature points of all elements. vals : array The field variable values in the physical quadrature points. dets : array The Jacobians of the mapping to the unit reference element in the physical quadrature points. """ if cells is None: cells = nm.arange(conn.shape[0]) n_el = len(cells) n_qp = qps.shape[0] dim = control_points.shape[1] nc = variable.shape[1] # Output values of the variable. vals = nm.empty((n_el * n_qp, nc), dtype=nm.float64) # Output physical coordinates of QPs. coors = nm.empty((n_el * n_qp, dim), dtype=nm.float64) # Output Jacobians. dets = nm.empty((n_el * n_qp, 1), dtype=nm.float64) # Loop over elements. for iseq, ie in enumerate(cells): ec = conn[ie] vals_e = variable[ec] cps_e = control_points[ec] # Loop over quadrature points. for iqp, qp in enumerate(qps): ii = n_qp * iseq + iqp bf, bfg, det = eval_nurbs_basis_tp(qp, ie, control_points, weights, degrees, cs, conn) vals_qp = nm.dot(bf, vals_e) vals[ii, :] = vals_qp coors_qp = nm.dot(bf, cps_e) coors[ii, :] = coors_qp dets[ii] = det return coors, vals, dets sfepy-release_2015.1/sfepy/discrete/iga/io.py000066400000000000000000000053161247364230400211130ustar00rootroot00000000000000""" IO for NURBS and Bezier extraction data. """ import numpy as nm import tables as pt def write_iga_data(filename, knots, degrees, control_points, weights, cs, conn, bezier_control_points, bezier_weights, bezier_conn, regions): """ Write IGA-related data into a HDF5 file using pytables. """ if isinstance(degrees, int): degrees = [degrees] degrees = nm.asarray(degrees) fd = pt.openFile(filename, mode='w', title='SfePy IGA data file') nurbs = fd.createGroup('/', 'nurbs', 'nurbs') fd.createArray(nurbs, 'dim', control_points.shape[1], 'dim') fd.createArray(nurbs, 'tdim', len(degrees), 'tdim') for ii, kv in enumerate(knots): name = 'knots_%d' % ii fd.createArray(nurbs, name, kv, name) fd.createArray(nurbs, 'degrees', degrees, 'degrees') fd.createArray(nurbs, 'control_points', control_points, 'control_points') fd.createArray(nurbs, 'weights', weights, 'weights') bezier = fd.createGroup('/', 'bezier', 'bezier') fd.createArray(bezier, 'bezier_control_points', bezier_control_points, 'bezier_control_points') fd.createArray(bezier, 'bezier_weights', bezier_weights, 'bezier_weights') for ii, op in enumerate(cs): name = 'extraction_%d' % ii fd.createArray(bezier, name, op, name) fd.createArray(bezier, 'global_connectivity', conn, 'global_connectivity') fd.createArray(bezier, 'bezier_connectivity', bezier_conn, 'bezier_connectivity') regs = fd.createGroup('/', 'regions', 'regions') for key, val in regions.iteritems(): fd.createArray(regs, key, val, key) fd.close() def read_iga_data(filename): """ Read IGA-related data from a HDF5 file using pytables. """ fd = pt.openFile(filename, mode='r') nurbs = fd.root.nurbs tdim = nurbs.tdim.read() knots = [] for ii in xrange(tdim): name = 'knots_%d' % ii knots.append(nurbs._f_getChild(name).read()) knots = tuple(knots) degrees = nurbs.degrees.read() control_points = nurbs.control_points.read() weights = nurbs.weights.read() bezier = fd.root.bezier cs = [] for ii in xrange(tdim): name = 'extraction_%d' % ii cs.append(bezier._f_getChild(name).read()) conn = bezier.global_connectivity.read() bezier_control_points = bezier.bezier_control_points.read() bezier_weights = bezier.bezier_weights.read() bezier_conn = bezier.bezier_connectivity.read() regions = {} for region in fd.root.regions: regions[region.name] = region.read() fd.close() return (knots, degrees, control_points, weights, cs, conn, bezier_control_points, bezier_weights, bezier_conn, regions) sfepy-release_2015.1/sfepy/discrete/iga/mappings.py000066400000000000000000000056571247364230400223320ustar00rootroot00000000000000""" Reference mappings for isogeometric analysis. """ import numpy as nm from sfepy.discrete.common.mappings import Mapping from sfepy.discrete.fem.extmods.mappings import CMapping import sfepy.discrete.iga.extmods.igac as iga class IGMapping(Mapping): """ Reference mapping for isogeometric analysis based on Bezier extraction. Parameters ---------- domain : IGDomain instance The mapping domain. cells : array The mapping region cells. (All domain cells required.) nurbs : NurbsPatch instance, optional If given, the `nurbs` is used instead of `domain.nurbs`. The `nurbs` has to be obtained by degree elevation of `domain.nurbs`. """ def __init__(self, domain, cells, nurbs=None): self.domain = domain self.cells = cells self.nurbs = domain.nurbs if nurbs is None else nurbs self.v_shape = (len(cells), -1, self.domain.shape.dim) self.s_shape = (len(cells), -1, 1) def get_geometry(self): """ Return reference element geometry as a GeometryElement instance. """ return self.domain.gel def get_physical_qps(self, qp_coors): """ Get physical quadrature points corresponding to given reference Bezier element quadrature points. Returns ------- qps : array The physical quadrature points ordered element by element, i.e. with shape (n_el, n_qp, dim). """ nurbs = self.nurbs variable = nm.ones((nurbs.weights.shape[0], 1), dtype=nm.float64) qps, _, _ = iga.eval_variable_in_qp(variable, qp_coors, nurbs.cps, nurbs.weights, nurbs.degrees, nurbs.cs, nurbs.conn, self.cells) qps = qps.reshape(self.v_shape) return qps def get_mapping(self, qp_coors, weights): """ Get the mapping for given quadrature points and weights. Returns ------- cmap : CMapping instance The reference mapping. Notes ----- Does not set total volume of the C mapping structure! """ nurbs = self.nurbs bfs, bfgs, dets = iga.eval_mapping_data_in_qp(qp_coors, nurbs.cps, nurbs.weights, nurbs.degrees, nurbs.cs, nurbs.conn, self.cells) # Weight Jacobians by quadrature point weights. dets = nm.abs(dets) * weights[None, :, None, None] # Cell volumes. volumes = dets.sum(axis=1)[..., None] cmap = CMapping(self.v_shape[0], qp_coors.shape[0], self.v_shape[2], bfs.shape[3], mode='volume', flag=1) cmap.bf[:] = bfs cmap.bfg[:] = bfgs cmap.det[:] = dets cmap.volume[:] = volumes return cmap sfepy-release_2015.1/sfepy/discrete/iga/plot_nurbs.py000066400000000000000000000145541247364230400226770ustar00rootroot00000000000000import numpy as nm import matplotlib.pyplot as plt from sfepy.discrete.fem.geometry_element import GeometryElement from sfepy.mesh.mesh_generators import get_tensor_product_conn import sfepy.postprocess.plot_dofs as pd from sfepy.postprocess.plot_dofs import _get_axes from sfepy.discrete.iga.iga import _get_knots_tuple def plot_parametric_mesh(ax, knots): """ Plot the parametric mesh of a NURBS given by its knots. """ knots = _get_knots_tuple(knots) dim = len(knots) ax = _get_axes(ax, dim) uknots = [nm.unique(ii) for ii in knots] shape = [len(ii) for ii in uknots] ngrid = nm.mgrid[[slice(ii) for ii in shape]] coors = nm.r_[[uknots[ii][ig].ravel() for ii, ig in enumerate(ngrid)]].T conn, desc = get_tensor_product_conn(nm.array(shape)) gel = GeometryElement(desc) ax = pd.plot_mesh(ax, coors, conn, gel.edges) pd.plot_points(ax, coors) return ax def plot_control_mesh(ax, control_points, label=False): """ Plot the control mesh of a NURBS given by its control points. """ dim = control_points.shape[-1] ax = _get_axes(ax, dim) shape = control_points.shape conn, desc = get_tensor_product_conn(nm.array(shape[:-1])) gel = GeometryElement(desc) coors = control_points.reshape((-1, dim)) ax = pd.plot_mesh(ax, coors, conn, gel.edges) pd.plot_points(ax, coors) if label: for ii, cc in enumerate(coors): if dim == 3: cx, cy, cz = cc ax.text(cx, cy, cz, '%d' % ii, color='g', fontsize=12, weight='bold') else: cx, cy = cc ax.text(cx, cy, '%d' % ii, color='g', fontsize=12, weight='bold') return ax def _get_edges(n_ep, shape): dim = len(shape) aux = nm.arange(n_ep).reshape(shape) edges = [] if dim == 3: for ii in xrange(shape[2] - 1): edges.append(aux[0, 0, ii:ii+2]) edges.append(aux[-1, 0, ii:ii+2]) edges.append(aux[0, -1, ii:ii+2]) edges.append(aux[-1, -1, ii:ii+2]) for ii in xrange(shape[1] - 1): edges.append(aux[0, ii:ii+2, 0]) edges.append(aux[-1, ii:ii+2, 0]) edges.append(aux[0, ii:ii+2, -1]) edges.append(aux[-1, ii:ii+2, -1]) for ii in xrange(shape[0] - 1): edges.append(aux[ii:ii+2, 0, 0]) edges.append(aux[ii:ii+2, -1, 0]) edges.append(aux[ii:ii+2, 0, -1]) edges.append(aux[ii:ii+2, -1, -1]) elif dim == 2: for ii in xrange(shape[1] - 1): edges.append(aux[0, ii:ii+2]) edges.append(aux[-1, ii:ii+2]) for ii in xrange(shape[0] - 1): edges.append(aux[ii:ii+2, 0]) edges.append(aux[ii:ii+2, -1]) else: for ii in xrange(shape[0] - 1): edges.append(aux[ii:ii+2]) return nm.array(edges) def plot_bezier_mesh(ax, control_points, conn, degrees, label=False): """ Plot the Bezier mesh of a NURBS given by its control points and connectivity. """ dim = control_points.shape[-1] ax = _get_axes(ax, dim) edges = _get_edges(conn.shape[1], nm.asarray(degrees) + 1) ax = pd.plot_mesh(ax, control_points, conn, edges) pd.plot_points(ax, control_points) if label: ax = pd.plot_global_dofs(ax, control_points, conn) return ax def plot_iso_lines(ax, nurbs, color='b', n_points=100): """ Plot the NURBS object using iso-lines in Greville abscissae coordinates. """ dim = nurbs.dim ax = _get_axes(ax, dim) gas = nurbs.greville() if dim == 1: ga = gas[0] x0 = nm.linspace(ga[0], ga[-1], n_points) vals = nurbs(x0) if vals.shape[1] == 1: ax.plot(x0, vals[:, 0], color) else: # Assume curve in 2D. ax.plot(vals[:, 0], vals[:, 1], color) elif dim == 2: ga0 = gas[0] ga1 = gas[1] x1 = nm.linspace(ga1[0], ga1[-1], n_points) for x0 in ga0: vals = nurbs(x0, x1) ax.plot(vals[:, 0], vals[:, 1], color) x0 = nm.linspace(ga0[0], ga0[-1], n_points) for x1 in ga0: vals = nurbs(x0, x1) ax.plot(vals[:, 0], vals[:, 1], color) else: ga0 = gas[0] ga1 = gas[1] ga2 = gas[2] x2 = nm.linspace(ga2[0], ga2[-1], n_points) for x0 in ga0: for x1 in ga1: vals = nurbs(x0, x1, x2) ax.plot(vals[:, 0], vals[:, 1], vals[:, 2], color) x1 = nm.linspace(ga1[0], ga1[-1], n_points) for x0 in ga0: for x2 in ga2: vals = nurbs(x0, x1, x2) ax.plot(vals[:, 0], vals[:, 1], vals[:, 2], color) x0 = nm.linspace(ga0[0], ga0[-1], n_points) for x1 in ga1: for x2 in ga2: vals = nurbs(x0, x1, x2) ax.plot(vals[:, 0], vals[:, 1], vals[:, 2], color) return ax def plot_nurbs_basis_1d(ax, nurbs, n_points=100, x_axis='parametric', legend=False): """ Plot a 1D NURBS basis. """ ax = _get_axes(ax, 2) ga = nurbs.greville()[0] n_fun = nurbs.weights.shape[0] line = nm.linspace(ga[0], ga[-1], n_points) for ii in xrange(n_fun): field = nm.zeros(n_fun) field[ii] = 1.0 vals = nurbs.evaluate(fields=field, u=line) if x_axis == 'parametric': ax.plot(line, vals, label='%d' % ii) else: coors = nurbs(u=line)[:, x_axis] ax.plot(coors, vals, label='%d' % ii) if legend: ax.legend() return ax def plot_bezier_nurbs_basis_1d(ax, control_points, weights, degrees, cs, conn, n_points=20): """ Plot a 1D NURBS basis using the Bezier extraction and local Bernstein basis. """ from sfepy.discrete.iga.iga import eval_variable_in_qp ax = _get_axes(ax, 2) n_fun = weights.shape[0] line = nm.linspace(0, 1, n_points)[:, None] for ii in xrange(n_fun): variable = nm.zeros((n_fun, 1)) variable[ii] = 1.0 coors, vals, dets = eval_variable_in_qp(variable, line, control_points, weights, degrees, cs, conn) plt.plot(coors[:, 0], vals) return ax sfepy-release_2015.1/sfepy/discrete/iga/setup.py000066400000000000000000000007021247364230400216360ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) config.add_subpackage('extmods') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/iga/utils.py000066400000000000000000000075711247364230400216510ustar00rootroot00000000000000""" Utility functions based on igakit. """ import numpy as nm from sfepy.base.base import Struct from sfepy.discrete.fem import Mesh from sfepy.mesh.mesh_generators import get_tensor_product_conn def create_linear_fe_mesh(nurbs, pars=None): """ Convert a NURBS object into a nD-linear tensor product FE mesh. Parameters ---------- nurbs : igakit.nurbs.NURBS instance The NURBS object. pars : sequence of array, optional The values of parameters in each parametric dimension. If not given, the values are set so that the resulting mesh has the same number of vertices as the number of control points/basis functions of the NURBS object. Returns ------- coors : array The coordinates of mesh vertices. conn : array The vertex connectivity array. desc : str The cell kind. """ knots = nurbs.knots shape = nurbs.weights.shape if pars is None: pars = [] for ii, kv in enumerate(knots): par = nm.linspace(kv[0], kv[-1], shape[ii]) pars.append(par) coors = nurbs(*pars) coors.shape = (-1, coors.shape[-1]) conn, desc = get_tensor_product_conn([len(ii) for ii in pars]) if (coors[:, -1] == 0.0).all(): coors = coors[:, :-1] return coors, conn, desc def create_mesh_and_output(nurbs, pars=None, **kwargs): """ Create a nD-linear tensor product FE mesh using :func:`create_linear_fe_mesh()`, evaluate field variables given as keyword arguments in the mesh vertices and create a dictionary of output data usable by Mesh.write(). Parameters ---------- nurbs : igakit.nurbs.NURBS instance The NURBS object. pars : sequence of array, optional The values of parameters in each parametric dimension. If not given, the values are set so that the resulting mesh has the same number of vertices as the number of control points/basis functions of the NURBS object. **kwargs : kwargs The field variables as keyword arguments. Their names serve as keys in the output dictionary. Returns ------- mesh : Mesh instance The finite element mesh. out : dict The output dictionary. """ coors, conn, desc = create_linear_fe_mesh(nurbs, pars) mat_id = nm.zeros(conn.shape[0], dtype=nm.int32) mesh = Mesh.from_data('nurbs', coors, None, [conn], [mat_id], [desc]) out = {} for key, variable in kwargs.iteritems(): if variable.ndim == 2: nc = variable.shape[1] field = variable.reshape(nurbs.weights.shape + (nc,)) else: field = variable.reshape(nurbs.weights.shape) nc = 1 vals = nurbs.evaluate(field, *pars) out[key] = Struct(name='output_data', mode='vertex', data=vals.reshape((-1, nc))) return mesh, out def save_basis(nurbs, pars): """ Save a NURBS object basis on a FE mesh corresponding to the given parametrization in VTK files. Parameters ---------- nurbs : igakit.nurbs.NURBS instance The NURBS object. pars : sequence of array, optional The values of parameters in each parametric dimension. """ coors, conn, desc = create_linear_fe_mesh(nurbs, pars) mat_id = nm.zeros(conn.shape[0], dtype=nm.int32) mesh = Mesh.from_data('nurbs', coors, None, [conn], [mat_id], [desc]) n_dof = nurbs.weights.ravel().shape[0] variable = nm.zeros(n_dof, dtype=nm.float64) field = variable.reshape(nurbs.weights.shape) for ic in xrange(n_dof): variable[ic - 1] = 0.0 variable[ic] = 1.0 vals = nurbs.evaluate(field, *pars).reshape((-1)) out = {} out['bf'] = Struct(name='output_data', mode='vertex', data=vals[:, None]) mesh.write('iga_basis_%03d.vtk' % ic, io='auto', out=out) sfepy-release_2015.1/sfepy/discrete/integrals.py000066400000000000000000000113141247364230400217270ustar00rootroot00000000000000""" Classes for accessing quadrature points and weights for various reference element geometries. """ import numpy as nm from sfepy.base.base import OneTypeList, Container, Struct, basestr from quadratures import QuadraturePoints class Integrals(Container): """ Container for instances of :class:`Integral`. """ @staticmethod def from_conf(conf): objs = OneTypeList(Integral) for desc in conf.itervalues(): if hasattr(desc, 'vals'): aux = Integral(desc.name, coors=desc.vals, weights=desc.weights) else: aux = Integral(desc.name, order=desc.order) objs.append(aux) obj = Integrals(objs) return obj def get(self, name): """ Return existing or new integral. Parameters ---------- name : str The name can either be a non-negative integer, a string representation of a non-negative integer (the integral order) or 'a' (automatic order) or a string beginning with 'i' (existing custom integral name). """ if name == 'a': raise NotImplementedError elif isinstance(name, basestr) and (name[0] == 'i'): try: obj = self[name] except IndexError: raise ValueError('integral %s is not defined!' % name) else: try: order = int(name) except: raise ValueError('unsupported integral reference! (%s)' % name) name = '__o%d' % order if self.has_key(name): obj = self[name] else: # Create new integral, and add it to self. obj = Integral(name, order=order) self.append(obj) return obj class Integral(Struct): """ Wrapper class around quadratures. """ def __init__(self, name, order=1, coors=None, weights=None, bounds=None, tp_fix=1.0, weight_fix=1.0, symmetric=False): self.name = name self.qps = {} if coors is None: self.mode = 'builtin' else: self.mode = 'custom' self.coors = coors self.weights = weights self.bounds = bounds self.tp_fix = tp_fix self.weight_fix = weight_fix self.symmetric = symmetric self.order = 0 if order in ('auto', 'custom', 'a', 'c'): self.order = -1 else: self.order = int(order) def get_qp(self, geometry): """ Get quadrature point coordinates and corresponding weights for given geometry. For built-in quadratures, the integration order is given by `self.order`. Parameters ---------- geometry : str The geometry key describing the integration domain, see the keys of `sfepy.discrete.quadratures.quadrature_tables`. Returns ------- coors : array The coordinates of quadrature points. weights: array The quadrature weights. """ if geometry in self.qps: qp = self.qps[geometry] else: if self.mode == 'builtin': qp = QuadraturePoints.from_table(geometry, self.order) else: qp = QuadraturePoints(None, coors=self.coors, weights=self.weights, bounds=self.bounds, tp_fix=self.tp_fix, weight_fix=self.weight_fix, symmetric=self.symmetric) self.qps[geometry] = qp return qp.coors, qp.weights def integrate(self, function, order=1, geometry='1_2'): """ Integrate numerically a given scalar function. Parameters ---------- function : callable(coors) The function of space coordinates to integrate. order : int, optional The integration order. For tensor product geometries, this is the 1D (line) order. geometry : str The geometry key describing the integration domain. Default is `'1_2'`, i.e. a line integral in [0, 1]. For other values see the keys of `sfepy.discrete.quadratures.quadrature_tables`. Returns ------- val : float The value of the integral. """ qp = QuadraturePoints.from_table(geometry, order) fvals = function(qp.coors) val = nm.sum(fvals * qp.weights) return val sfepy-release_2015.1/sfepy/discrete/mass_operator.py000066400000000000000000000017401247364230400226170ustar00rootroot00000000000000from sfepy.base.base import Struct from sfepy.solvers import Solver class MassOperator(Struct): """ Encapsulation of action and inverse action of a mass matrix operator :math:`M`. """ def __init__(self, problem, options): self.mtx_mass = problem.evaluate(options.mass, mode='weak', auto_init=True, dw_mode='matrix') if options.lumped: raise NotImplementedError else: # Initialize solvers (and possibly presolve the matrix). self.ls = Solver.any_from_conf(problem.ls_conf, mtx=self.mtx_mass, presolve=True) def action(self, vec): """ Action of mass matrix operator on a vector: :math:`M x`. """ return self.mtx_mass * vec def inverse_action(self, vec): """ Inverse action of mass matrix operator on a vector: :math:`M^{-1} x`. """ return self.ls(vec) sfepy-release_2015.1/sfepy/discrete/materials.py000066400000000000000000000344111247364230400217230ustar00rootroot00000000000000import time from copy import copy from sfepy.base.base import (Struct, Container, OneTypeList, assert_, output, get_default, basestr) from functions import ConstantFunction, ConstantFunctionByRegion class Materials(Container): @staticmethod def from_conf(conf, functions, wanted=None): """ Construct Materials instance from configuration. """ if wanted is None: wanted = conf.keys() objs = OneTypeList(Material) for key, mc in conf.iteritems(): if key not in wanted: continue mat = Material.from_conf(mc, functions) objs.append(mat) obj = Materials(objs) return obj def semideep_copy(self, reset=True): """Copy materials, while external data (e.g. region) remain shared.""" others = copy(self) others.update(OneTypeList(Material)) for mat in self: other = mat.copy(name=mat.name) if reset: other.reset() others.append(other) return others def reset(self): """Clear material data so that next materials.time_update() is performed even for stationary materials.""" for mat in self: mat.reset() def time_update(self, ts, equations, mode='normal', problem=None, verbose=True): """ Update material parameters for given time, problem, and equations. Parameters ---------- ts : TimeStepper instance The time stepper. equations : Equations instance The equations using the materials. mode : 'normal', 'update' or 'force' The update mode, see :func:`Material.time_update()`. problem : Problem instance, optional The problem that can be passed to user functions as a context. verbose : bool If False, reduce verbosity. """ if verbose: output('updating materials...') tt = time.clock() for mat in self: if verbose: output(' ', mat.name) mat.time_update(ts, equations, mode=mode, problem=problem) if verbose: output('...done in %.2f s' % (time.clock() - tt)) class Material(Struct): """ A class holding constitutive and other material parameters. Example input:: material_2 = { 'name' : 'm', 'values' : {'E' : 1.0}, } Material parameters are passed to terms using the dot notation, i.e. 'm.E' in our example case. """ @staticmethod def from_conf(conf, functions): """ Construct Material instance from configuration. """ kind = conf.get('kind', 'time-dependent') flags = conf.get('flags', {}) function = conf.get('function', None) values = conf.get('values', None) if isinstance(function, basestr): function = functions[function] obj = Material(conf.name, kind, function, values, flags) return obj def __init__(self, name, kind='time-dependent', function=None, values=None, flags=None, **kwargs): """ Parameters ---------- name : str The name of the material. kind : 'time-dependent' or 'stationary' The kind of the material. function : function The function for setting up the material values. values : dict Constant material values. flags : dict, optional Special flags. **kwargs : keyword arguments, optional Constant material values passed by their names. """ Struct.__init__(self, name=name, kind=kind, is_constant=False) if (function is not None) and ((values is not None) or len(kwargs)): msg = 'material can have function or values but not both! (%s)' \ % self.name raise ValueError(msg) self.flags = get_default(flags, {}) if hasattr(function, '__call__'): self.function = function elif (values is not None) or len(kwargs): # => function is None if isinstance(values, dict): key0 = values.keys()[0] assert_(isinstance(key0, str)) else: key0 = None if (key0 and (not key0.startswith('.')) and isinstance(values[key0], dict)): self.function = ConstantFunctionByRegion(values) self.is_constant = True else: all_values = {} if values is not None: all_values.update(values) all_values.update(kwargs) self.function = ConstantFunction(all_values) self.is_constant = True else: # => both values and function are None msg = 'material %s: neither function nor values given! (%s)' \ % self.name raise ValueError(msg) self.reset() def iter_terms(self, equations, only_new=True): """ Iterate terms for which the material data should be evaluated. """ if equations is None: raise StopIteration for equation in equations: for term in equation.terms: names = [ii[0] for ii in term.names.material] if self.name not in names: continue key = term.get_qp_key() if only_new and (key in self.datas): continue self.datas.setdefault(key, {}) yield key, term def set_data(self, key, ig, qps, data, indx): """ Set the material data in quadrature points. Parameters ---------- key : tuple The (region_name, integral_name) data key. ig : int The element group id. qps : Struct Information about the quadrature points. data : dict The material data. Changes the shape of data! indx : array The indices of quadrature points in the group `ig`. """ datas = self.datas[key] # Restore shape to (n_el, n_qp, ...) until the C # core is rewritten to work with a bunch of physical # point values only. group_data = {} if qps.is_uniform: if data is not None: for key, val in data.iteritems(): aux = val[indx] aux.shape = qps.get_shape(aux.shape, ig) group_data[key] = aux else: raise NotImplementedError datas[ig] = group_data def set_data_from_variable(self, var, name, equations): for key, term in self.iter_terms(equations): qps = term.get_physical_qps() for ig in term.igs(): data = var.evaluate_at(qps.values[ig]) data.shape = data.shape + (1,) self.set_data(key, ig, qps, {name : data}) def update_data(self, key, ts, equations, term, problem=None): """ Update the material parameters in quadrature points. Parameters ---------- key : tuple The (region_name, integral_name) data key. ts : TimeStepper The time stepper. equations : Equations The equations for which the update occurs. term : Term The term for which the update occurs. problem : Problem, optional The problem definition for which the update occurs. """ self.datas.setdefault(key, {}) qps = term.get_physical_qps() coors = qps.get_merged_values() data = self.function(ts, coors, mode='qp', equations=equations, term=term, problem=problem, group_indx=qps.rindx, **self.extra_args) for ig, indx in qps.rindx.iteritems(): if (qps.n_per_group[ig] == 0): self.set_data(key, ig, qps, None, None) else: self.set_data(key, ig, qps, data, indx) def update_special_data(self, ts, equations, problem=None): """ Update the special material parameters. Parameters ---------- ts : TimeStepper The time stepper. equations : Equations The equations for which the update occurs. problem : Problem, optional The problem definition for which the update occurs. """ if 'special' in self.datas: return # Special function values (e.g. flags). datas = self.function(ts, None, mode='special', problem=problem, equations=equations, **self.extra_args) if datas is not None: self.datas['special'] = datas self.special_names.update(datas.keys()) def update_special_constant_data(self, equations=None, problem=None): """ Update the special constant material parameters. Parameters ---------- equations : Equations The equations for which the update occurs. problem : Problem, optional The problem definition for which the update occurs. """ if 'special_constant' in self.datas: return if not self.flags.get('special_constant'): return # Special constant values. datas = self.function(None, None, mode='special_constant', problem=problem, equations=equations) self.datas['special_constant'] = datas self.constant_names.update(datas.keys()) def time_update(self, ts, equations, mode='normal', problem=None): """ Evaluate material parameters in physical quadrature points. Parameters ---------- ts : TimeStepper instance The time stepper. equations : Equations instance The equations using the materials. mode : 'normal', 'update' or 'force' The update mode. In 'force' mode, ``self.datas`` is cleared and all updates are redone. In 'update' mode, existing data are preserved and new can be added. The 'normal' mode depends on other attributes: for stationary (``self.kind == 'stationary'``) materials and materials in 'user' mode, nothing is done if ``self.datas`` is not empty. For time-dependent materials (``self.kind == 'time-dependent'``, the default) that are not constant, i.e., are given by a user function, 'normal' mode behaves like 'force' mode. For constant materials it behaves like 'update' mode - existing data are reused. problem : Problem instance, optional The problem that can be passed to user functions as a context. """ if mode == 'force': self.datas = {} elif self.datas: if mode == 'normal': if (self.mode == 'user') or (self.kind == 'stationary'): return elif not self.is_constant: self.datas = {} for key, term in self.iter_terms(equations): self.update_data(key, ts, equations, term, problem=problem) self.update_special_data(ts, equations, problem=problem) self.update_special_constant_data(equations, problem=problem) def get_keys(self, region_name=None): """ Get all data keys. Parameters ---------- region_name : str If not None, only keys with this region are returned. """ if not self.datas: keys = None elif region_name is None: keys = self.datas.keys() else: keys = [key for key in self.datas.keys() if (isinstance(key, tuple) and key[0] == region_name)] return keys def set_all_data(self, datas): """ Use the provided data, set mode to 'user'. """ self.mode = 'user' self.datas = datas def set_function(self, function): self.function = function self.reset() def reset(self): """ Clear all data created by a call to ``time_update()``, set ``self.mode`` to ``None``. """ self.mode = None self.datas = {} self.special_names = set() self.constant_names = set() self.extra_args = {} def set_extra_args(self, **extra_args): """Extra arguments passed tu the material function.""" self.extra_args = extra_args def get_data(self, key, ig, name): """`name` can be a dict - then a Struct instance with data as attributes named as the dict keys is returned.""" if isinstance(name, basestr): return self._get_data(key, ig, name) else: out = Struct() for key, item in name.iteritems(): setattr(out, key, self._get_data(key, ig, item)) return out def _get_data(self, key, ig, name): if name is None: msg = 'material arguments must use the dot notation!\n'\ '(material: %s, key: %s)' % (self.name, key) raise ValueError(msg) if not self.datas: raise ValueError('material data not set! (call time_update())') if name in self.special_names: # key, ig ignored. return self.datas['special'][name] else: datas = self.datas[key] if isinstance(datas[ig], Struct): return getattr(datas[ig], name) elif datas[ig]: return datas[ig][name] def get_constant_data(self, name): """Get constant data by name.""" if name in self.constant_names: # no key, ig. return self.datas['special_constant'][name] else: raise ValueError('material %s has no constant %s!' % (self.name, name)) def reduce_on_datas(self, reduce_fun, init=0.0): """For non-special values only!""" out = {}.fromkeys(self.datas[self.datas.keys()[0]][0].keys(), init) for datas in self.datas.itervalues(): for data in datas.itervalues(): for key, val in data.iteritems(): out[key] = reduce_fun(out[key], val) return out sfepy-release_2015.1/sfepy/discrete/parse_equations.py000066400000000000000000000072751247364230400231540ustar00rootroot00000000000000from pyparsing import Combine, Literal, Word, delimitedList, Group, Optional,\ ZeroOrMore, OneOrMore, nums, alphas, alphanums,\ StringStart, StringEnd, CaselessLiteral, Forward, oneOf class TermParse(object): def __str__(self): ss = "%s\n" % self.__class__ for key, val in self.__dict__.iteritems(): ss += " %s:\n %s\n" % (key, self.__dict__[key]) return ss def collect_term(term_descs, lc): signs = {'+': 1.0, '-': -1.0} def append(str, loc, toks): sign = signs[toks.sign] * signs[lc[0]] tp = TermParse() tp.integral = toks.term_desc.integral if not tp.integral: tp.integral = 'a' tp.region = toks.term_desc.region tp.flag = toks.term_desc.flag tp.sign = sign * eval(''.join(toks.mul)) tp.name = toks.term_desc.name tp.args = ', '.join(toks.args[0]) term_descs.append(tp) return append def rhs(lc): def aux(str, loc, toks): if toks: lc[0] = '-' return aux def create_bnf(term_descs): """term_descs .. list of TermParse objects (sign, term_name, term_arg_names), where sign can be real or complex multiplier""" lc = ['+'] # Linear combination context. equal = Literal("=").setParseAction(rhs(lc)) zero = Literal("0").suppress() point = Literal(".") e = CaselessLiteral("E") inumber = Word("+-" + nums, nums) fnumber = Combine(Word("+-" + nums, nums) + Optional(point + Optional(Word(nums))) + Optional(e + Word("+-" + nums, nums))) number = fnumber + Optional(Literal('j'), default='') add_op = oneOf('+ -') number_expr = Forward() number_expr << ZeroOrMore('(') + number \ + ZeroOrMore(add_op + number_expr) \ + ZeroOrMore(')') ident = Word(alphas, alphanums + "_") integral = Combine((Literal('i') + Word(alphanums)) | Literal('i') | Literal('a') | Word(nums))("integral") history = Optional('[' + inumber + ']', default='')("history") variable = Combine(Word(alphas, alphanums + '._') + history) derivative = Combine(Literal('d') + variable \ + Literal('/') + Literal('dt')) trace = Combine(Literal('tr') + '(' + variable + ')') generalized_var = derivative | trace | variable args = Group(delimitedList(generalized_var)) flag = Literal('a') term = Optional(Literal('+') | Literal('-'), default='+')("sign") \ + Optional(number_expr + Literal('*').suppress(), default=['1.0', ''])("mul") \ + Combine(ident("name") \ + Optional("." + (integral + "." + ident("region") + "." + flag("flag") | integral + "." + ident("region") | ident("region") )))("term_desc") + "(" \ + Optional(args, default=[''])("args") + ")" term.setParseAction(collect_term(term_descs, lc)) rhs1 = equal + OneOrMore(term) rhs2 = equal + zero equation = StringStart() + OneOrMore(term) \ + Optional(rhs1 | rhs2) + StringEnd() ## term.setDebug() return equation if __name__ == "__main__": test_str = """d_term1.Y(fluid, u, w, Nu, dcf, mode) + 5.0 * d_term2.Omega(u, w, Nu, dcf, mode) - d_another_term.Elsewhere(w, p[-1], Nu, dcf, mode) = - dw_rhs.a.Y3(u, q, Nu, dcf, mode)""" term_descs = [] bnf = create_bnf(term_descs) out = bnf.parseString(test_str) print 'out:', out, '\n' for tp in term_descs: print tp sfepy-release_2015.1/sfepy/discrete/parse_regions.py000066400000000000000000000155071247364230400226070ustar00rootroot00000000000000""" Grammar for selecting regions of a domain. Regions serve for selection of certain parts of the computational domain represented as a finite element mesh. They are used to define the boundary conditions, the domains of terms and materials etc. Notes ----- History: pre-git versions already from from 13.06.2006. """ from pyparsing import Literal, CaselessLiteral, Word, delimitedList,\ Group, Optional, ZeroOrMore, nums, alphas, alphanums,\ Combine, StringStart, StringEnd, Forward, oneOf, ParseException ParseException # Needed for importing elsewhere. op_codes = ['OA_SubV', 'OA_SubE', 'OA_SubF', 'OA_SubC', 'OA_SubS', 'OA_AddV', 'OA_AddE', 'OA_AddF', 'OA_AddC', 'OA_AddS', 'OA_IntersectV', 'OA_IntersectE', 'OA_IntersectF', 'OA_IntersectC', 'OA_IntersectS'] eval_codes = ['E_VIR', 'E_VOS', 'E_VBF', 'E_VOG', 'E_OVIR', 'E_VI', 'E_VOSET', 'E_CBF', 'E_COG', 'E_CI1', 'E_CI2', 'E_COSET'] kw_codes = ['KW_All', 'KW_Region'] def to_stack(stack): def push_first(str, loc, toks): if toks: stack.append(toks[0]) return toks return push_first def replace(what, keep=False): def _replace(str, loc, toks): ret = {'token' : what, 'orig' : []} if keep: ret['orig'] = list(toks[0]) return ret return _replace def replace_with_region(what, r_index): def _replace(str, loc, toks): ret = {'token' : what, 'orig' : []} orig = toks[0] r_orig = orig[r_index] if isinstance(r_orig, dict) and (r_orig['token'] == 'KW_Region'): orig = list(orig[:r_index]) + r_orig['orig'] ret['orig'] = orig return ret return _replace def join_tokens(str, loc, toks): return [" ".join(toks[0])] def visit_stack(stack, op_visitor, leaf_visitor): def visit(stack, level): op = stack.pop() token = op['token'] if token in op_codes: res2 = visit(stack, level + 1) res1 = visit(stack, level + 1) return op_visitor(level, op, res1, res2) elif token in eval_codes: return leaf_visitor(level, op) elif token in kw_codes: return leaf_visitor(level, op) else: raise ValueError, token return visit(stack, 0) def print_op(level, op, item1, item2): print level * ' ' + (': %s' % op) def print_leaf(level, op): print level * ' ' + ('< %s' % op) def print_stack(stack): visit_stack(stack, print_op, print_leaf) def create_bnf(stack): point = Literal(".") comma = Literal(",") e = CaselessLiteral("E") inumber = Word(nums) fnumber = Combine(Word("+-"+nums, nums) + Optional(point + Optional(Word(nums))) + Optional(e + Word("+-"+nums, nums))) _of = Literal('of') _in = Literal('in') _by = Literal('by') _copy = Literal('copy') _mv = Literal('-v').setParseAction(replace('OA_SubV')) _me = Literal('-e').setParseAction(replace('OA_SubE')) _mf = Literal('-f').setParseAction(replace('OA_SubF')) _mc = Literal('-c').setParseAction(replace('OA_SubC')) _ms = Literal('-s').setParseAction(replace('OA_SubS')) _pv = Literal('+v').setParseAction(replace('OA_AddV')) _pe = Literal('+e').setParseAction(replace('OA_AddE')) _pf = Literal('+f').setParseAction(replace('OA_AddF')) _pc = Literal('+c').setParseAction(replace('OA_AddC')) _ps = Literal('+s').setParseAction(replace('OA_AddS')) _inv = Literal('*v').setParseAction(replace('OA_IntersectV')) _ine = Literal('*e').setParseAction(replace('OA_IntersectE')) _inf = Literal('*f').setParseAction(replace('OA_IntersectF')) _inc = Literal('*c').setParseAction(replace('OA_IntersectC')) _ins = Literal('*s').setParseAction(replace('OA_IntersectS')) regop = (_mv | _me | _mf | _mc | _ms | _pv | _pe | _pf | _pc | _ps | _inv | _ine | _inf | _inc | _ins) lpar = Literal("(").suppress() rpar = Literal(")").suppress() _all = Literal('all').setParseAction(replace('KW_All')) vertex = Literal('vertex') vertices = Literal('vertices') cell = Literal('cell') cells = Literal('cells') group = Literal('group') _set = Literal('set') surface = Literal('surface') ident = Word(alphas + '_.', alphanums + '_.') set_name = Word(nums) | ident function = Word(alphas + '_', alphanums + '_') function = Group(function).setParseAction(join_tokens) region = Combine(Literal('r.') + Word(alphas + '_', '_' + alphas + nums + '.')) region = Group(Optional(_copy, default='nocopy') + region) region.setParseAction(replace('KW_Region', keep=True)) coor = oneOf('x y z') boolop = oneOf('& |') relop = oneOf('< > <= >= != ==') bool_term = (ZeroOrMore('(') + (coor | fnumber) + relop + (coor | fnumber) + ZeroOrMore(')')) relation = Forward() relation << (ZeroOrMore('(') + bool_term + ZeroOrMore(boolop + relation) + ZeroOrMore(')')) relation = Group(relation).setParseAction(join_tokens) nos = Group(vertices + _of + surface).setParseAction(replace('E_VOS')) nir = Group(vertices + _in + relation).setParseAction( replace('E_VIR', keep=True)) nbf = Group(vertices + _by + function).setParseAction( replace('E_VBF', keep=True)) ebf = Group(cells + _by + function).setParseAction( replace('E_CBF', keep=True)) eog = Group(cells + _of + group + Word(nums)).setParseAction( replace('E_COG', keep=True)) nog = Group(vertices + _of + group + Word(nums)).setParseAction( replace('E_VOG', keep=True)) onir = Group(vertex + _in + region).setParseAction( replace_with_region('E_OVIR', 2)) ni = Group(vertex + delimitedList(inumber)).setParseAction( replace('E_VI', keep=True)) ei1 = Group(cell + delimitedList(inumber)).setParseAction( replace('E_CI1', keep=True)) etuple = (lpar.suppress() + inumber + comma.suppress() + inumber + rpar.suppress()) ei2 = Group(cell + delimitedList(etuple)).setParseAction( replace('E_CI2', keep=True)) noset = Group(vertices + _of + _set + set_name).setParseAction( replace('E_VOSET', keep=True)) eoset = Group(cells + _of + _set + set_name).setParseAction( replace('E_COSET', keep=True)) region_expression = Forward() atom1 = (_all | region | ni | onir | nos | nir | nbf | ei1 | ei2 | ebf | eog | nog | noset | eoset) atom1.setParseAction(to_stack(stack)) atom2 = (lpar + region_expression.suppress() + rpar) atom = (atom1 | atom2) aux = (regop + region_expression) aux.setParseAction(to_stack(stack)) region_expression << atom + ZeroOrMore(aux) region_expression = StringStart() + region_expression + StringEnd() return region_expression sfepy-release_2015.1/sfepy/discrete/probes.py000066400000000000000000000446521247364230400212440ustar00rootroot00000000000000"""Classes for probing values of Variables, for example, along a line.""" import numpy as nm import numpy.linalg as nla from sfepy.base.base import get_default, basestr, Struct from sfepy.linalg import make_axis_rotation_matrix, norm_l2_along_axis def write_results(filename, probe, results): """ Write probing results into a file. Parameters ---------- filename : str or file object The output file name. probe : Probe subclass instance The probe used to obtain the results. results : dict The dictionary of probing results. Keys are data names, values are the probed values. """ fd = open(filename, 'w') if isinstance(filename, basestr) else filename fd.write('\n'.join(probe.report()) + '\n') for key, result in results.iteritems(): pars, vals = result fd.write('\n# %s %d\n' % (key, vals.shape[-1])) if vals.ndim == 1: aux = nm.hstack((pars[:,None], vals[:,None])) else: aux = nm.hstack((pars[:,None], vals)) nm.savetxt(fd, aux) if isinstance(filename, basestr): fd.close() def read_results(filename, only_names=None): """ Read probing results from a file. Parameters ---------- filename : str or file object The probe results file name. Returns ------- header : Struct instance The probe data header. results : dict The dictionary of probing results. Keys are data names, values are the probed values. """ from sfepy.base.ioutils import read_array only_names = get_default(only_names, []) fd = open(filename, 'r') if isinstance(filename, basestr) else filename header = read_header(fd) results = {} for name, nc in get_data_name(fd): if name not in only_names: continue result = read_array(fd, header.n_point, nc + 1, nm.float64) results[name] = result return header, results def read_header(fd): """ Read the probe data header from file descriptor fd. Returns ------- header : Struct instance The probe data header. """ header = Struct(name='probe_data_header') header.probe_class = fd.readline().strip() aux = fd.readline().strip().split(':')[1] header.n_point = int(aux.strip().split()[0]) details = [] while 1: line = fd.readline().strip() if line == '-----': break else: details.append(line) header.details = '\n'.join(details) return header def get_data_name(fd): """ Try to read next data name in file fd. Returns ------- name : str The data name. nc : int The number of data columns. """ name = None while 1: try: line = fd.readline() if (len(line) == 0): break if len(line) == 1: continue except: raise StopIteration line = line.strip().split() if (len(line) == 3) and (line[0] == '#'): name = line[1] nc = int(line[2]) yield name, nc class Probe(Struct): """ Base class for all point probes. Enforces two points minimum. """ cache = Struct(name='probe_shared_evaluate_cache') is_cyclic = False def __init__(self, name, share_geometry=True, n_point=None, **kwargs): """ Parameters ---------- name : str The probe name, set automatically by the subclasses. share_geometry : bool Set to True to indicate that all the probes will work on the same domain. Certain data are then computed only for the first probe and cached. n_point : int The (fixed) number of probe points, when positive. When non-positive, the number of points is adaptively increased starting from -n_point, until the neighboring point distance is less than the diameter of the elements enclosing the points. When None, it is set to -10. For additional parameters see the __init__() docstrings of the subclasses. """ Struct.__init__(self, name=name, share_geometry=share_geometry, **kwargs) self.set_n_point(n_point) self.options = Struct(close_limit=0.1, size_hint=None) self.cache = Struct(name='probe_local_evaluate_cache') self.is_refined = False def set_n_point(self, n_point): """ Set the number of probe points. Parameters ---------- n_point : int The (fixed) number of probe points, when positive. When non-positive, the number of points is adaptively increased starting from -n_point, until the neighboring point distance is less than the diameter of the elements enclosing the points. When None, it is set to -10. """ if n_point is None: n_point = -10 if n_point <= 0: n_point = max(-n_point, 2) self.n_point_required = -1 else: n_point = max(n_point, 2) self.n_point_required = n_point self.n_point0 = self.n_point = n_point def set_options(self, close_limit=None, size_hint=None): """ Set the probe options. Parameters ---------- close_limit : float The maximum limit distance of a point from the closest element allowed for extrapolation. size_hint : float Element size hint for the refinement of probe parametrization. """ if close_limit is not None: self.options.close_limit = close_limit if size_hint is not None: self.options.size_hint = size_hint def report(self): """Report the probe parameters.""" out = [self.__class__.__name__] if self.n_point_required == -1: aux = 'adaptive' else: aux = 'fixed' out.append('number of points: %s (%s)' % (self.n_point, aux)) return out def __call__(self, variable): """ Probe the given variable. The actual implementation is in self.probe(), so that it can be overridden in subclasses. Parameters ---------- variable : Variable instance The variable to be sampled along the probe. """ return self.probe(variable) def probe(self, variable): """ Probe the given variable. Parameters ---------- variable : Variable instance The variable to be sampled along the probe. """ refine_flag = None ev = variable.evaluate_at domain = variable.field.domain if self.share_geometry: cache = domain.get_evaluate_cache(cache=Probe.cache, share_geometry=True) else: cache = domain.get_evaluate_cache(cache=self.cache, share_geometry=False) self.reset_refinement() while True: pars, points = self.get_points(refine_flag) if not nm.isfinite(points).all(): raise ValueError('Inf/nan in probe points!') vals, cells, status = ev(points, strategy='kdtree', close_limit=self.options.close_limit, cache=cache, ret_status=True) ii = nm.where(status > 1)[0] vals[ii] = nm.nan if self.is_refined: break else: refine_flag = self.refine_points(variable, points, cells) if (refine_flag == False).all(): break self.is_refined = True return pars, vals def reset_refinement(self): """ Reset the probe refinement state. """ self.is_refined = False self.n_point = self.n_point0 def refine_points(self, variable, points, cells): """ Mark intervals between points for a refinement, based on element sizes at those points. Assumes the points to be ordered. Returns ------- refine_flag : bool array True at places corresponding to intervals between subsequent points that need to be refined. """ if self.n_point_required == self.n_point: refine_flag = nm.array([False]) else: if self.options.size_hint is None: ed = variable.get_element_diameters(cells, 0) pd = 0.5 * (ed[1:] + ed[:-1]) else: pd = self.options.size_hint dist = norm_l2_along_axis(points[1:] - points[:-1]) refine_flag = dist > pd if self.is_cyclic: pd1 = 0.5 * (ed[0] + ed[-1]) dist1 = nla.norm(points[0] - points[-1]) refine_flag = nm.r_[refine_flag, dist1 > pd1] return refine_flag @staticmethod def refine_pars(pars, refine_flag, cyclic_val=None): """ Refine the probe parametrization based on the refine_flag. """ ii = nm.where(refine_flag)[0] ip = ii + 1 if cyclic_val is not None: cpars = nm.r_[pars, cyclic_val] pp = 0.5 * (cpars[ip] + cpars[ii]) else: pp = 0.5 * (pars[ip] + pars[ii]) pars = nm.insert(pars, ip, pp) return pars class PointsProbe(Probe): """ Probe variables in given points. """ def __init__(self, points, share_geometry=True): """ Parameters ---------- points : array_like The coordinates of the points. """ points = nm.array(points, dtype=nm.float64) if points.ndim == 1: points.shape = points.shape + (1,) n_point = points.shape[0] name = 'points %d' % n_point Probe.__init__(self, name=name, points=points, n_point=n_point) self.n_point_single = n_point def report(self): """Report the probe parameters.""" out = Probe.report(self) for ii, point in enumerate(self.points): out.append('point %d: %s' % (ii, point)) out.append('-----') return out def refine_points(self, variable, points, cache): """No refinement for this probe.""" refine_flag = nm.array([False]) return refine_flag def get_points(self, refine_flag=None): """ Get the probe points. Returns ------- pars : array_like The independent coordinate of the probe. points : array_like The probe points, parametrized by pars. """ pars = nm.arange(self.n_point, dtype=nm.float64) return pars, self.points class LineProbe(Probe): """ Probe variables along a line. If n_point is positive, that number of evenly spaced points is used. If n_point is None or non-positive, an adaptive refinement based on element diameters is used and the number of points and their spacing are determined automatically. If it is negative, -n_point is used as an initial guess. """ def __init__(self, p0, p1, n_point, share_geometry=True): """ Parameters ---------- p0 : array_like The coordinates of the start point. p1 : array_like The coordinates of the end point. """ p0 = nm.array(p0, dtype=nm.float64) p1 = nm.array(p1, dtype=nm.float64) name = 'line [%s, %s]' % (p0, p1) Probe.__init__(self, name=name, p0=p0, p1=p1, n_point=n_point) dirvec = self.p1 - self.p0 self.length = nm.linalg.norm(dirvec) self.dirvec = dirvec / self.length def report(self): """Report the probe parameters.""" out = Probe.report(self) out.append('point 0: %s' % self.p0) out.append('point 1: %s' % self.p1) out.append('-----') return out def get_points(self, refine_flag=None): """ Get the probe points. Returns ------- pars : array_like The independent coordinate of the probe. points : array_like The probe points, parametrized by pars. """ if self.is_refined: return self.pars, self.points if refine_flag is None: pars = nm.linspace(0, self.length, self.n_point) else: pars = Probe.refine_pars(self.pars, refine_flag) self.n_point = pars.shape[0] self.pars = pars self.points = self.p0 + self.dirvec * pars[:,None] return pars, self.points class RayProbe(Probe): """ Probe variables along a ray. The points are parametrized by a function of radial coordinates from a given point in a given direction. """ def __init__(self, p0, dirvec, p_fun, n_point, both_dirs, share_geometry=True): """ Parameters ---------- p0 : array_like The coordinates of the start point. dirvec : array_like The probe direction vector. p_fun : function The function returning the probe parametrization along the dirvec direction. both_dirs : bool If True, the probe works, starting at p0, symmetrically in both dirvec and -dirvec directions. """ p0 = nm.array(p0, dtype=nm.float64) dirvec = nm.array(dirvec, dtype=nm.float64) dirvec /= nla.norm(dirvec) name = 'ray %s [%s, %s]' % (p_fun.__name__, p0, dirvec) if both_dirs: n_point_true = 2 * n_point else: n_point_true = n_point Probe.__init__(self, name=name, p0=p0, dirvec=dirvec, p_fun=p_fun, n_point=n_point_true, both_dirs=both_dirs) self.n_point_single = n_point def report(self): """Report the probe parameters.""" out = Probe.report(self) out.append('point 0: %s' % self.p0) out.append('direction vector: %s' % self.dirvec) out.append('both directions: %s' % self.both_dirs) out.append('distribution function: %s' % self.p_fun.__name__) out.append('-----') return out def refine_points(self, variable, points, cache): """No refinement for this probe.""" refine_flag = nm.array([False]) return refine_flag def gen_points(self, sign): """Generate the probe points and their parametrization.""" pars = self.p_fun(nm.arange(self.n_point_single, dtype=nm.float64)) points = self.p0 + sign * self.dirvec * pars[:,None] return pars, points def get_points(self, refine_flag=None): """ Get the probe points. Returns ------- pars : array_like The independent coordinate of the probe. points : array_like The probe points, parametrized by pars. """ pars, points = self.gen_points(1.0) if self.both_dirs: pars0, points0 = self.gen_points(-1.0) pars = nm.concatenate((-pars0[::-1], pars)) points = nm.concatenate((points0[::-1], points)) return pars, points class CircleProbe(Probe): """ Probe variables along a circle. If n_point is positive, that number of evenly spaced points is used. If n_point is None or non-positive, an adaptive refinement based on element diameters is used and the number of points and their spacing are determined automatically. If it is negative, -n_point is used as an initial guess. """ is_cyclic = True def __init__(self, centre, normal, radius, n_point, share_geometry=True): """ Parameters ---------- centre : array_like The coordinates of the circle centre. normal : array_like The normal vector perpendicular to the circle plane. radius : float The radius of the circle. """ centre = nm.array(centre, dtype=nm.float64) normal = nm.array(normal, dtype=nm.float64) normal /= nla.norm(normal) name = 'circle [%s, %s, %s]' % (centre, normal, radius) Probe.__init__(self, name=name, centre=centre, normal=normal, radius=radius, n_point=n_point) def report(self): """Report the probe parameters.""" out = Probe.report(self) out.append('centre: %s' % self.centre) out.append('normal: %s' % self.normal) out.append('radius: %s' % self.radius) out.append('-----') return out def get_points(self, refine_flag=None): """ Get the probe points. Returns ------- pars : array_like The independent coordinate of the probe. points : array_like The probe points, parametrized by pars. """ # Vector of angles. if self.is_refined: return self.pars, self.points if refine_flag is None: pars = nm.linspace(0.0, 2.0*nm.pi, self.n_point + 1)[:-1] else: pars = Probe.refine_pars(self.pars, refine_flag, cyclic_val=2.0 * nm.pi) self.n_point = pars.shape[0] self.pars = pars # Create the points in xy plane, centered at the origin. x = self.radius * nm.cos(pars[:,None]) y = self.radius * nm.sin(pars[:,None]) if len(self.centre) == 3: z = nm.zeros((self.n_point, 1), dtype=nm.float64) points = nm.c_[x, y, z] # Rotate to satisfy the normal, shift to the centre. n1 = nm.array([0.0, 0.0, 1.0], dtype=nm.float64) axis = nm.cross(n1, self.normal) angle = nm.arccos(nm.dot(n1, self.normal)) if nla.norm(axis) < 0.1: # n1 == self.normal rot_mtx = nm.eye(3, dtype=nm.float64) else: rot_mtx = make_axis_rotation_matrix(axis, angle) points = nm.dot(points, rot_mtx) else: points = nm.c_[x, y] points += self.centre self.points = points return pars, points class IntegralProbe(Struct): """Evaluate integral expressions.""" def __init__(self, name, problem, expressions, labels): Struct.__init__(self, name=name, problem=problem, expressions=expressions, labels=labels) def __call__(self, ip, state=None, **kwargs): return self.problem.evaluate(self.expressions[ip], state, **kwargs) sfepy-release_2015.1/sfepy/discrete/problem.py000066400000000000000000001400421247364230400214000ustar00rootroot00000000000000import os import os.path as op import time from copy import copy import numpy as nm from sfepy.base.base import dict_from_keys_init, select_by_names from sfepy.base.base import output, get_default, Struct, IndexedStruct import sfepy.base.ioutils as io from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.base.conf import transform_variables, transform_materials from functions import Functions from sfepy.discrete.fem.mesh import Mesh from sfepy.discrete.common.fields import fields_from_conf from variables import Variables, Variable from materials import Materials, Material from equations import Equations from integrals import Integrals from sfepy.discrete.state import State from sfepy.discrete.conditions import Conditions from sfepy.discrete.evaluate import create_evaluable, eval_equations from sfepy.discrete.fem import fea from sfepy.solvers.ts import TimeStepper from sfepy.discrete.evaluate import BasicEvaluator, LCBCEvaluator from sfepy.solvers import Solver from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton ## # 29.01.2006, c class Problem(Struct): """ Problem definition, the top-level class holding all data necessary to solve a problem. It can be constructed from a :class:`ProblemConf` instance using `Problem.from_conf()` or directly from a problem description file using `Problem.from_conf_file()` For interactive use, the constructor requires only the `equations`, `nls` and `ls` keyword arguments. """ @staticmethod def from_conf_file(conf_filename, required=None, other=None, init_fields=True, init_equations=True, init_solvers=True): _required, _other = get_standard_keywords() if required is None: required = _required if other is None: other = _other conf = ProblemConf.from_file(conf_filename, required, other) obj = Problem.from_conf(conf, init_fields=init_fields, init_equations=init_equations, init_solvers=init_solvers) return obj @staticmethod def from_conf(conf, init_fields=True, init_equations=True, init_solvers=True): if conf.options.get('absolute_mesh_path', False): conf_dir = None else: conf_dir = op.dirname(conf.funmod.__file__) functions = Functions.from_conf(conf.functions) if conf.get('filename_mesh') is not None: from sfepy.discrete.fem.domain import FEDomain mesh = Mesh.from_file(conf.filename_mesh, prefix_dir=conf_dir) domain = FEDomain(mesh.name, mesh) if conf.options.get('ulf', False): domain.mesh.coors_act = domain.mesh.coors.copy() elif conf.get('filename_domain') is not None: from sfepy.discrete.iga.domain import IGDomain domain = IGDomain.from_file(conf.filename_domain) else: raise ValueError('missing filename_mesh or filename_domain!') obj = Problem('problem_from_conf', conf=conf, functions=functions, domain=domain, auto_conf=False, auto_solvers=False) obj.set_regions(conf.regions, obj.functions) obj.clear_equations() if init_fields: obj.set_fields(conf.fields) if init_equations: obj.set_equations(conf.equations, user={'ts' : obj.ts}) if init_solvers: obj.set_solvers(conf.solvers, conf.options) return obj def __init__(self, name, conf=None, functions=None, domain=None, fields=None, equations=None, auto_conf=True, nls=None, ls=None, ts=None, auto_solvers=True): self.name = name self.conf = conf self.functions = functions self.reset() self.ts = get_default(ts, self.get_default_ts()) if auto_conf: if equations is None: raise ValueError('missing equations in auto_conf mode!') if fields is None: variables = equations.variables fields = {} for field in [var.get_field() for var in variables]: fields[field.name] = field if domain is None: domain = fields.values()[0].domain if conf is None: self.conf = Struct(ebcs={}, epbcs={}, lcbcs={}) self.equations = equations self.fields = fields self.domain = domain if auto_solvers: if ls is None: ls = ScipyDirect({}) if nls is None: nls = Newton({}, lin_solver=ls) ev = self.get_evaluator() nls.fun = ev.eval_residual nls.fun_grad = ev.eval_tangent_matrix self.set_solvers_instances(ls=ls, nls=nls) self.setup_output() def reset(self): if hasattr(self.conf, 'options'): self.setup_hooks(self.conf.options) else: self.setup_hooks() self.mtx_a = None self.solvers = None self.clear_equations() def setup_hooks(self, options=None): """ Setup various hooks (user-defined functions), as given in `options`. Supported hooks: - `matrix_hook` - check/modify tangent matrix in each nonlinear solver iteration - `nls_iter_hook` - called prior to every iteration of nonlinear solver, if the solver supports that - takes the Problem instance (`self`) as the first argument """ hook_names = ['nls_iter_hook', 'matrix_hook'] for hook_name in hook_names: setattr(self, hook_name, None) if options is not None: hook = options.get(hook_name, None) if hook is not None: hook = self.conf.get_function(hook) setattr(self, hook_name, hook) iter_hook = self.nls_iter_hook if iter_hook is not None: self.nls_iter_hook = lambda *args, **kwargs: \ iter_hook(self, *args, **kwargs) def copy(self, name=None): """ Make a copy of Problem. """ if name is None: name = self.name + '_copy' obj = Problem(name, conf=self.conf, functions=self.functions, domain=self.domain, fields=self.fields, equations=self.equations, auto_conf=False, auto_solvers=False) obj.ebcs = self.ebcs obj.epbcs = self.epbcs obj.lcbcs = self.lcbcs obj.set_solvers(self.conf.solvers, self.conf.options) obj.setup_output(output_filename_trunk=self.ofn_trunk, output_dir=self.output_dir, output_format=self.output_format, file_per_var=self.file_per_var, linearization=self.linearization) return obj def create_subproblem(self, var_names, known_var_names): """ Create a sub-problem with equations containing only terms with the given virtual variables. Parameters ---------- var_names : list The list of names of virtual variables. known_var_names : list The list of names of (already) known state variables. Returns ------- subpb : Problem instance The sub-problem. """ subpb = Problem(self.name + '_' + '_'.join(var_names), conf=self.conf, functions=self.functions, domain=self.domain, fields=self.fields, auto_conf=False, auto_solvers=False) subpb.set_solvers(self.conf.solvers, self.conf.options) subeqs = self.equations.create_subequations(var_names, known_var_names) subpb.set_equations_instance(subeqs, keep_solvers=True) return subpb def setup_default_output(self, conf=None, options=None): """ Provide default values to `Problem.setup_output()` from `conf.options` and `options`. """ conf = get_default(conf, self.conf) if options and getattr(options, 'output_filename_trunk', None): default_output_dir, of = op.split(options.output_filename_trunk) default_trunk = io.get_trunk(of) else: default_trunk = None default_output_dir = conf.options.get('output_dir', None) if options and getattr(options, 'output_format', None): default_output_format = options.output_format else: default_output_format = conf.options.get('output_format', None) default_file_per_var = conf.options.get('file_per_var', None) default_float_format = conf.options.get('float_format', None) default_linearization = Struct(kind='strip') self.setup_output(output_filename_trunk=default_trunk, output_dir=default_output_dir, file_per_var=default_file_per_var, output_format=default_output_format, float_format=default_float_format, linearization=default_linearization) def setup_output(self, output_filename_trunk=None, output_dir=None, output_format=None, float_format=None, file_per_var=None, linearization=None): """ Sets output options to given values, or uses the defaults for each argument that is None. """ self.output_modes = {'vtk' : 'sequence', 'h5' : 'single'} self.ofn_trunk = get_default(output_filename_trunk, io.get_trunk(self.domain.name)) self.set_output_dir(output_dir) self.output_format = get_default(output_format, 'vtk') self.float_format = get_default(float_format, None) self.file_per_var = get_default(file_per_var, False) self.linearization = get_default(linearization, Struct(kind='strip')) if ((self.output_format == 'h5') and (self.linearization.kind == 'adaptive')): self.linearization.kind = None def set_output_dir(self, output_dir=None): """ Set the directory for output files. The directory is created if it does not exist. """ self.output_dir = get_default(output_dir, os.curdir) if self.output_dir and not op.exists(self.output_dir): os.makedirs(self.output_dir) def set_regions(self, conf_regions=None, conf_materials=None, functions=None): conf_regions = get_default(conf_regions, self.conf.regions) functions = get_default(functions, self.functions) self.domain.create_regions(conf_regions, functions) def set_materials(self, conf_materials=None): """ Set definition of materials. """ self.conf_materials = get_default(conf_materials, self.conf.materials) def select_materials(self, material_names, only_conf=False): if type(material_names) == dict: conf_materials = transform_materials(material_names) else: conf_materials = select_by_names(self.conf.materials, material_names) if not only_conf: self.set_materials(conf_materials) return conf_materials def set_fields(self, conf_fields=None): conf_fields = get_default(conf_fields, self.conf.fields) self.fields = fields_from_conf(conf_fields, self.domain.regions) def set_variables(self, conf_variables=None): """ Set definition of variables. """ self.conf_variables = get_default(conf_variables, self.conf.variables) self.reset() def select_variables(self, variable_names, only_conf=False): if type(variable_names) == dict: conf_variables = transform_variables(variable_names) else: conf_variables = select_by_names(self.conf.variables, variable_names) if not only_conf: self.set_variables(conf_variables) return conf_variables def clear_equations(self): self.integrals = None self.equations = None self.ebcs = None self.epbcs = None self.lcbcs = None def set_equations(self, conf_equations=None, user=None, keep_solvers=False, make_virtual=False): """ Set equations of the problem using the `equations` problem description entry. Fields and Regions have to be already set. """ conf_equations = get_default(conf_equations, self.conf.get('equations', None)) self.set_variables() variables = Variables.from_conf(self.conf_variables, self.fields) self.set_materials() materials = Materials.from_conf(self.conf_materials, self.functions) self.integrals = self.get_integrals() equations = Equations.from_conf(conf_equations, variables, self.domain.regions, materials, self.integrals, user=user) self.equations = equations if not keep_solvers: self.solvers = None def set_equations_instance(self, equations, keep_solvers=False): """ Set equations of the problem to `equations`. """ self.mtx_a = None self.clear_equations() self.equations = equations if not keep_solvers: self.solvers = None def set_solvers(self, conf_solvers=None, options=None): """ Choose which solvers should be used. If solvers are not set in `options`, use first suitable in `conf_solvers`. """ conf_solvers = get_default(conf_solvers, self.conf.solvers) self.solver_confs = {} for key, val in conf_solvers.iteritems(): self.solver_confs[val.name] = val def _find_suitable(prefix): for key, val in self.solver_confs.iteritems(): if val.kind.find(prefix) == 0: return val return None def _get_solver_conf(kind): try: key = options[kind] conf = self.solver_confs[key] except: conf = _find_suitable(kind + '.') return conf self.ts_conf = _get_solver_conf('ts') if self.ts_conf is None: self.ts_conf = Struct(name='no ts', kind='ts.stationary') self.nls_conf = _get_solver_conf('nls') self.ls_conf = _get_solver_conf('ls') info = 'using solvers:' if self.ts_conf: info += '\n ts: %s' % self.ts_conf.name if self.nls_conf: info += '\n nls: %s' % self.nls_conf.name if self.ls_conf: info += '\n ls: %s' % self.ls_conf.name if info != 'using solvers:': output(info) def set_solvers_instances(self, ls=None, nls=None): """ Set the instances of linear and nonlinear solvers that will be used in `Problem.solve()` call. """ if (ls is not None) and (nls is not None): if not (nls.lin_solver is ls): raise ValueError('linear solver not used in nonlinear!') self.solvers = Struct(name='solvers', ls=ls, nls=nls) if nls is not None: self.nls_status = get_default(nls.status, IndexedStruct()) def get_solver_conf(self, name): return self.solver_confs[name] def get_default_ts(self, t0=None, t1=None, dt=None, n_step=None, step=None): t0 = get_default(t0, 0.0) t1 = get_default(t1, 1.0) dt = get_default(dt, 1.0) n_step = get_default(n_step, 1) ts = TimeStepper(t0, t1, dt, n_step, step=step) return ts def get_integrals(self, names=None): """ Get integrals, initialized from problem configuration if available. Parameters ---------- names : list, optional If given, only the named integrals are returned. Returns ------- integrals : Integrals instance The requested integrals. """ conf_integrals = self.conf.get('integrals', {}) integrals = Integrals.from_conf(conf_integrals) if names is not None: integrals.update([integrals[ii] for ii in names if ii in integrals.names]) return integrals def update_time_stepper(self, ts): if ts is not None: self.ts = ts def update_materials(self, ts=None, mode='normal', verbose=True): """ Update materials used in equations. Parameters ---------- ts : TimeStepper instance The time stepper. mode : 'normal', 'update' or 'force' The update mode, see :func:`Material.time_update() `. verbose : bool If False, reduce verbosity. """ if self.equations is not None: self.update_time_stepper(ts) self.equations.time_update_materials(self.ts, mode=mode, problem=self, verbose=verbose) def update_equations(self, ts=None, ebcs=None, epbcs=None, lcbcs=None, functions=None, create_matrix=False): """ Update equations for current time step. The tangent matrix graph is automatically recomputed if the set of active essential or periodic boundary conditions changed w.r.t. the previous time step. Parameters ---------- ts : TimeStepper instance, optional The time stepper. If not given, `self.ts` is used. ebcs : Conditions instance, optional The essential (Dirichlet) boundary conditions. If not given, `self.ebcs` are used. epbcs : Conditions instance, optional The periodic boundary conditions. If not given, `self.epbcs` are used. lcbcs : Conditions instance, optional The linear combination boundary conditions. If not given, `self.lcbcs` are used. functions : Functions instance, optional The user functions for boundary conditions, materials, etc. If not given, `self.functions` are used. """ self.update_time_stepper(ts) functions = get_default(functions, self.functions) graph_changed = self.equations.time_update(self.ts, ebcs, epbcs, lcbcs, functions, self) self.graph_changed = graph_changed if graph_changed or (self.mtx_a is None) or create_matrix: self.mtx_a = self.equations.create_matrix_graph() ## import sfepy.base.plotutils as plu ## plu.spy(self.mtx_a) ## plu.plt.show() def set_bcs(self, ebcs=None, epbcs=None, lcbcs=None): """ Update boundary conditions. """ if isinstance(ebcs, Conditions): self.ebcs = ebcs else: conf_ebc = get_default(ebcs, self.conf.ebcs) self.ebcs = Conditions.from_conf(conf_ebc, self.domain.regions) if isinstance(epbcs, Conditions): self.epbcs = epbcs else: conf_epbc = get_default(epbcs, self.conf.epbcs) self.epbcs = Conditions.from_conf(conf_epbc, self.domain.regions) if isinstance(lcbcs, Conditions): self.lcbcs = lcbcs else: conf_lcbc = get_default(lcbcs, self.conf.lcbcs) self.lcbcs = Conditions.from_conf(conf_lcbc, self.domain.regions) def time_update(self, ts=None, ebcs=None, epbcs=None, lcbcs=None, functions=None, create_matrix=False): self.set_bcs(ebcs, epbcs, lcbcs) self.update_equations(ts, self.ebcs, self.epbcs, self.lcbcs, functions, create_matrix) def setup_ic(self, conf_ics=None, functions=None): conf_ics = get_default(conf_ics, self.conf.ics) ics = Conditions.from_conf(conf_ics, self.domain.regions) functions = get_default(functions, self.functions) self.equations.setup_initial_conditions(ics, functions) def select_bcs(self, ebc_names=None, epbc_names=None, lcbc_names=None, create_matrix=False): if ebc_names is not None: conf_ebc = select_by_names(self.conf.ebcs, ebc_names) else: conf_ebc = None if epbc_names is not None: conf_epbc = select_by_names(self.conf.epbcs, epbc_names) else: conf_epbc = None if lcbc_names is not None: conf_lcbc = select_by_names(self.conf.lcbcs, lcbc_names) else: conf_lcbc = None self.set_bcs(conf_ebc, conf_epbc, conf_lcbc) self.update_equations(self.ts, self.ebcs, self.epbcs, self.lcbcs, self.functions, create_matrix) def get_timestepper(self): return self.ts def create_state(self): return State(self.equations.variables) def get_mesh_coors(self): return self.domain.get_mesh_coors() def set_mesh_coors(self, coors, update_fields=False, actual=False, clear_all=True): """ Set mesh coordinates. Parameters ---------- coors : array The new coordinates. update_fields : bool If True, update also coordinates of fields. actual : bool If True, update the actual configuration coordinates, otherwise the undeformed configuration ones. """ fea.set_mesh_coors(self.domain, self.fields, coors, update_fields=update_fields, actual=actual, clear_all=clear_all) def refine_uniformly(self, level): """ Refine the mesh uniformly `level`-times. Notes ----- This operation resets almost everything (fields, equations, ...) - it is roughly equivalent to creating a new Problem instance with the refined mesh. """ if level == 0: return domain = self.domain for ii in range(level): domain = domain.refine() self.domain = domain self.set_regions(self.conf.regions, self.functions) self.clear_equations() self.set_fields(self.conf.fields) self.set_equations(self.conf.equations, user={'ts' : self.ts}) def get_dim(self, get_sym=False): """Returns mesh dimension, symmetric tensor dimension (if `get_sym` is True). """ dim = self.domain.mesh.dim if get_sym: return dim, (dim + 1) * dim / 2 else: return dim def init_time(self, ts): self.update_time_stepper(ts) self.equations.init_time(ts) self.update_materials(mode='force') def advance(self, ts=None): self.update_time_stepper(ts) self.equations.advance(self.ts) def save_state(self, filename, state=None, out=None, fill_value=None, post_process_hook=None, linearization=None, file_per_var=False, **kwargs): """ Parameters ---------- file_per_var : bool or None If True, data of each variable are stored in a separate file. If None, it is set to the application option value. linearization : Struct or None The linearization configuration for higher order approximations. If its kind is 'adaptive', `file_per_var` is assumed True. """ linearization = get_default(linearization, self.linearization) if linearization.kind != 'adaptive': file_per_var = get_default(file_per_var, self.file_per_var) else: file_per_var = True extend = not file_per_var if (out is None) and (state is not None): out = state.create_output_dict(fill_value=fill_value, extend=extend, linearization=linearization) if post_process_hook is not None: out = post_process_hook(out, self, state, extend=extend) if linearization.kind == 'adaptive': for key, val in out.iteritems(): mesh = val.get('mesh', self.domain.mesh) aux = io.edit_filename(filename, suffix='_' + val.var_name) mesh.write(aux, io='auto', out={key : val}, float_format=self.float_format, **kwargs) if hasattr(val, 'levels'): output('max. refinement per group:', val.levels) elif file_per_var: meshes = {} if self.equations is None: varnames = {} for key, val in out.iteritems(): varnames[val.var_name] = 1 varnames = varnames.keys() outvars = self.create_variables(varnames) itervars = outvars.__iter__ else: itervars = self.equations.variables.iter_state for var in itervars(): rname = var.field.region.name if meshes.has_key(rname): mesh = meshes[rname] else: mesh = Mesh.from_region(var.field.region, self.domain.mesh, localize=True, is_surface=var.is_surface) meshes[rname] = mesh vout = {} for key, val in out.iteritems(): try: if val.var_name == var.name: vout[key] = val except AttributeError: msg = 'missing var_name attribute in output!' raise ValueError(msg) aux = io.edit_filename(filename, suffix='_' + var.name) mesh.write(aux, io='auto', out=vout, float_format=self.float_format, **kwargs) else: mesh = out.pop('__mesh__', self.domain.mesh) mesh.write(filename, io='auto', out=out, float_format=self.float_format, **kwargs) def save_ebc(self, filename, ebcs=None, epbcs=None, force=True, default=0.0): """ Save essential boundary conditions as state variables. Parameters ---------- filename : str The output file name. ebcs : Conditions instance, optional The essential (Dirichlet) boundary conditions. If not given, `self.conf.ebcs` are used. epbcs : Conditions instance, optional The periodic boundary conditions. If not given, `self.conf.epbcs` are used. force : bool If True, sequential nonzero values are forced to individual `ebcs` so that the conditions are visible even when zero. default : float The default constant value of state vector. """ output('saving ebc...') variables = self.get_variables(auto_create=True) if ebcs is None: ebcs = Conditions.from_conf(self.conf.ebcs, self.domain.regions) if epbcs is None: epbcs = Conditions.from_conf(self.conf.epbcs, self.domain.regions) try: variables.equation_mapping(ebcs, epbcs, self.ts, self.functions, problem=self) except: output('cannot make equation mapping!') raise state = State(variables) state.fill(default) if force: vals = dict_from_keys_init(variables.state) for ii, key in enumerate(vals.iterkeys()): vals[key] = ii + 1 state.apply_ebc(force_values=vals) else: state.apply_ebc() out = state.create_output_dict(extend=True) self.save_state(filename, out=out, fill_value=default) output('...done') def save_regions(self, filename_trunk, region_names=None): """ Save regions as meshes. Parameters ---------- filename_trunk : str The output filename without suffix. region_names : list, optional If given, only the listed regions are saved. """ filename = '%s.mesh' % filename_trunk self.domain.save_regions(filename, region_names=region_names) def save_regions_as_groups(self, filename_trunk, region_names=None): """ Save regions in a single mesh but mark them by using different element/node group numbers. See :func:`Domain.save_regions_as_groups() ` for more details. Parameters ---------- filename_trunk : str The output filename without suffix. region_names : list, optional If given, only the listed regions are saved. """ filename = '%s.%s' % (filename_trunk, self.output_format) self.domain.save_regions_as_groups(filename, region_names=region_names) def save_field_meshes(self, filename_trunk): output('saving field meshes...') for field in self.fields: output(field.name) field.write_mesh(filename_trunk + '_%s') output('...done') def get_evaluator(self, reuse=False): """ Either create a new Evaluator instance (reuse == False), or return an existing instance, created in a preceding call to Problem.init_solvers(). """ if reuse: try: ev = self.evaluator except AttributeError: raise AttributeError('call Problem.init_solvers() or'\ ' set reuse to False!') else: if self.equations.variables.has_lcbc: ev = LCBCEvaluator(self, matrix_hook=self.matrix_hook) else: ev = BasicEvaluator(self, matrix_hook=self.matrix_hook) self.evaluator = ev return ev def init_solvers(self, nls_status=None, ls_conf=None, nls_conf=None, mtx=None, presolve=False): """Create and initialize solvers.""" ls_conf = get_default(ls_conf, self.ls_conf, 'you must set linear solver!') nls_conf = get_default(nls_conf, self.nls_conf, 'you must set nonlinear solver!') if presolve: tt = time.clock() ls = Solver.any_from_conf(ls_conf, mtx=mtx, presolve=presolve, problem=self) if presolve: tt = time.clock() - tt output('presolve: %.2f [s]' % tt) ev = self.get_evaluator() if self.conf.options.get('ulf', False): self.nls_iter_hook = ev.new_ulf_iteration nls = Solver.any_from_conf(nls_conf, fun=ev.eval_residual, fun_grad=ev.eval_tangent_matrix, lin_solver=ls, iter_hook=self.nls_iter_hook, status=nls_status, problem=self) self.set_solvers_instances(ls=ls, nls=nls) def get_solvers(self): return getattr(self, 'solvers', None) def is_linear(self): nls_conf = get_default(None, self.nls_conf, 'you must set nonlinear solver!') aux = Solver.any_from_conf(nls_conf) if aux.conf.get('is_linear', False): return True else: return False def set_linear(self, is_linear): nls_conf = get_default(None, self.nls_conf, 'you must set nonlinear solver!') nls_conf.is_linear = is_linear def solve(self, state0=None, nls_status=None, ls_conf=None, nls_conf=None, force_values=None, var_data=None): """Solve self.equations in current time step. Parameters ---------- var_data : dict A dictionary of {variable_name : data vector} used to initialize parameter variables. """ solvers = self.get_solvers() if solvers is None: self.init_solvers(nls_status, ls_conf, nls_conf) solvers = self.get_solvers() if state0 is None: state0 = State(self.equations.variables) else: if isinstance(state0, nm.ndarray): state0 = State(self.equations.variables, vec=state0) self.equations.set_data(var_data, ignore_unknown=True) self.update_materials() state0.apply_ebc(force_values=force_values) vec0 = state0.get_reduced() self.nls_status = get_default(nls_status, self.nls_status) vec = solvers.nls(vec0, status=self.nls_status) state = state0.copy(preserve_caches=True) state.set_reduced(vec, preserve_caches=True) return state def create_evaluable(self, expression, try_equations=True, auto_init=False, preserve_caches=False, copy_materials=True, integrals=None, ebcs=None, epbcs=None, lcbcs=None, ts=None, functions=None, mode='eval', var_dict=None, strip_variables=True, extra_args=None, verbose=True, **kwargs): """ Create evaluable object (equations and corresponding variables) from the `expression` string. Convenience function calling :func:`create_evaluable() ` with defaults provided by the Problem instance `self`. The evaluable can be repeatedly evaluated by calling :func:`eval_equations() `, e.g. for different values of variables. Parameters ---------- expression : str The expression to evaluate. try_equations : bool Try to get variables from `self.equations`. If this fails, variables can either be provided in `var_dict`, as keyword arguments, or are created automatically according to the expression. auto_init : bool Set values of all variables to all zeros. preserve_caches : bool If True, do not invalidate evaluate caches of variables. copy_materials : bool Work with a copy of `self.equations.materials` instead of reusing them. Safe but can be slow. integrals : Integrals instance, optional The integrals to be used. Automatically created as needed if not given. ebcs : Conditions instance, optional The essential (Dirichlet) boundary conditions for 'weak' mode. If not given, `self.ebcs` are used. epbcs : Conditions instance, optional The periodic boundary conditions for 'weak' mode. If not given, `self.epbcs` are used. lcbcs : Conditions instance, optional The linear combination boundary conditions for 'weak' mode. If not given, `self.lcbcs` are used. ts : TimeStepper instance, optional The time stepper. If not given, `self.ts` is used. functions : Functions instance, optional The user functions for boundary conditions, materials etc. If not given, `self.functions` are used. mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode - 'weak' means the finite element assembling, 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. var_dict : dict, optional The variables (dictionary of (variable name) : (Variable instance)) to be used in the expression. Use this if the name of a variable conflicts with one of the parameters of this method. strip_variables : bool If False, the variables in `var_dict` or `kwargs` not present in the expression are added to the actual variables as a context. extra_args : dict, optional Extra arguments to be passed to terms in the expression. verbose : bool If False, reduce verbosity. **kwargs : keyword arguments Additional variables can be passed as keyword arguments, see `var_dict`. Returns ------- equations : Equations instance The equations that can be evaluated. variables : Variables instance The corresponding variables. Set their values and use :func:`eval_equations() `. Examples -------- `problem` is Problem instance. >>> out = problem.create_evaluable('dq_state_in_volume_qp.i1.Omega(u)') >>> equations, variables = out `vec` is a vector of coefficients compatible with the field of 'u' - let's use all ones. >>> vec = nm.ones((variables['u'].n_dof,), dtype=nm.float64) >>> variables['u'].set_data(vec) >>> vec_qp = eval_equations(equations, variables, mode='qp') Try another vector: >>> vec = 3 * nm.ones((variables['u'].n_dof,), dtype=nm.float64) >>> variables['u'].set_data(vec) >>> vec_qp = eval_equations(equations, variables, mode='qp') """ from sfepy.discrete.equations import get_expression_arg_names variables = get_default(var_dict, {}) var_context = get_default(var_dict, {}) if try_equations and self.equations is not None: # Make a copy, so that possible variable caches are preserved. for key, var in self.equations.variables.as_dict().iteritems(): if key in variables: continue var = var.copy(name=key) if not preserve_caches: var.clear_evaluate_cache() variables[key] = var elif var_dict is None: possible_var_names = get_expression_arg_names(expression) variables = self.create_variables(possible_var_names) materials = self.get_materials() if materials is not None: if copy_materials: materials = materials.semideep_copy() else: materials = Materials(objs=materials._objs) else: possible_mat_names = get_expression_arg_names(expression) materials = self.create_materials(possible_mat_names) _kwargs = copy(kwargs) for key, val in kwargs.iteritems(): if isinstance(val, Variable): if val.name != key: msg = 'inconsistent variable name! (%s == %s)' \ % (val.name, key) raise ValueError(msg) var_context[key] = variables[key] = val.copy(name=key) _kwargs.pop(key) elif isinstance(val, Material): if val.name != key: msg = 'inconsistent material name! (%s == %s)' \ % (val.name, key) raise ValueError(msg) materials[val.name] = val _kwargs.pop(key) kwargs = _kwargs ebcs = get_default(ebcs, self.ebcs) epbcs = get_default(epbcs, self.epbcs) lcbcs = get_default(lcbcs, self.lcbcs) ts = get_default(ts, self.get_timestepper()) functions = get_default(functions, self.functions) integrals = get_default(integrals, self.get_integrals()) out = create_evaluable(expression, self.fields, materials, variables.itervalues(), integrals, ebcs=ebcs, epbcs=epbcs, lcbcs=lcbcs, ts=ts, functions=functions, auto_init=auto_init, mode=mode, extra_args=extra_args, verbose=verbose, kwargs=kwargs) if not strip_variables: variables = out[1] variables.extend([var for var in var_context.itervalues() if var not in variables]) equations = out[0] mode = 'update' if not copy_materials else 'normal' equations.time_update_materials(self.ts, mode=mode, problem=self, verbose=verbose) return out def evaluate(self, expression, try_equations=True, auto_init=False, preserve_caches=False, copy_materials=True, integrals=None, ebcs=None, epbcs=None, lcbcs=None, ts=None, functions=None, mode='eval', dw_mode='vector', term_mode=None, var_dict=None, strip_variables=True, ret_variables=False, verbose=True, extra_args=None, **kwargs): """ Evaluate an expression, convenience wrapper of :func:`Problem.create_evaluable` and :func:`eval_equations() `. Parameters ---------- dw_mode : 'vector' or 'matrix' The assembling mode for 'weak' evaluation mode. term_mode : str The term call mode - some terms support different call modes and depending on the call mode different values are returned. ret_variables : bool If True, return the variables that were created to evaluate the expression. other : arguments See docstrings of :func:`Problem.create_evaluable()`. Returns ------- out : array The result of the evaluation. variables : Variables instance The variables that were created to evaluate the expression. Only provided if `ret_variables` is True. """ aux = self.create_evaluable(expression, try_equations=try_equations, auto_init=auto_init, preserve_caches=preserve_caches, copy_materials=copy_materials, integrals=integrals, ebcs=ebcs, epbcs=epbcs, lcbcs=lcbcs, ts=ts, functions=functions, mode=mode, var_dict=var_dict, strip_variables=strip_variables, extra_args=extra_args, verbose=verbose, **kwargs) equations, variables = aux out = eval_equations(equations, variables, preserve_caches=preserve_caches, mode=mode, dw_mode=dw_mode, term_mode=term_mode) if ret_variables: out = (out, variables) return out def eval_equations(self, names=None, preserve_caches=False, mode='eval', dw_mode='vector', term_mode=None, verbose=True): """ Evaluate (some of) the problem's equations, convenience wrapper of :func:`eval_equations() `. Parameters ---------- names : str or sequence of str, optional Evaluate only equations of the given name(s). preserve_caches : bool If True, do not invalidate evaluate caches of variables. mode : one of 'eval', 'el_avg', 'qp', 'weak' The evaluation mode - 'weak' means the finite element assembling, 'qp' requests the values in quadrature points, 'el_avg' element averages and 'eval' means integration over each term region. dw_mode : 'vector' or 'matrix' The assembling mode for 'weak' evaluation mode. term_mode : str The term call mode - some terms support different call modes and depending on the call mode different values are returned. verbose : bool If False, reduce verbosity. Returns ------- out : dict or result The evaluation result. In 'weak' mode it is the vector or sparse matrix, depending on `dw_mode`. Otherwise, it is a dict of results with equation names as keys or a single result for a single equation. """ return eval_equations(self.equations, self.equations.variables, names=names, preserve_caches=preserve_caches, mode=mode, dw_mode=dw_mode, term_mode=term_mode, verbose=verbose) def get_time_solver(self, ts_conf=None, **kwargs): """ Create and return a TimeSteppingSolver instance. Notes ----- Also sets `self.ts` attribute. """ ts_conf = get_default(ts_conf, self.ts_conf, 'you must set time-stepping solver!') ts_solver = Solver.any_from_conf(ts_conf, problem=self, **kwargs) self.ts = ts_solver.ts return ts_solver def get_materials(self): if self.equations is not None: materials = self.equations.materials else: materials = None return materials def create_materials(self, mat_names=None): """ Create materials with names in `mat_names`. Their definitions have to be present in `self.conf.materials`. Notes ----- This method does not change `self.equations`, so it should not have any side effects. """ if mat_names is not None: conf_materials = self.select_materials(mat_names, only_conf=True) else: conf_materials = self.conf.materials materials = Materials.from_conf(conf_materials, self.functions) return materials def init_variables(self, state): """Initialize variables with history.""" self.equations.variables.init_state(state) def get_variables(self, auto_create=False): if self.equations is not None: variables = self.equations.variables elif auto_create: variables = self.create_variables() else: variables = None return variables def create_variables(self, var_names=None): """ Create variables with names in `var_names`. Their definitions have to be present in `self.conf.variables`. Notes ----- This method does not change `self.equations`, so it should not have any side effects. """ if var_names is not None: conf_variables = self.select_variables(var_names, only_conf=True) else: conf_variables = self.conf.variables variables = Variables.from_conf(conf_variables, self.fields) return variables def get_output_name(self, suffix=None, extra=None, mode=None): """ Return default output file name, based on the output directory, output format, step suffix and mode. If present, the extra string is put just before the output format suffix. """ out = op.join(self.output_dir, self.ofn_trunk) if suffix is not None: if mode is None: mode = self.output_modes[self.output_format] if mode == 'sequence': out = '.'.join((out, suffix)) if extra is not None: out = '.'.join((out, extra, self.output_format)) else: out = '.'.join((out, self.output_format)) return out def remove_bcs(self): """ Convenience function to remove boundary conditions. """ self.time_update(ebcs={}, epbcs={}, lcbcs={}) sfepy-release_2015.1/sfepy/discrete/projections.py000066400000000000000000000115051247364230400223000ustar00rootroot00000000000000""" Construct projections between FE spaces. """ from sfepy.base.base import output, IndexedStruct from sfepy.discrete import (FieldVariable, Integral, Equation, Equations, Material) from sfepy.discrete import Problem from sfepy.terms import Term from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton def create_mass_matrix(field): """ Create scalar mass matrix corresponding to the given field. Returns ------- mtx : csr_matrix The mass matrix in CSR format. """ u = FieldVariable('u', 'unknown', field) v = FieldVariable('v', 'test', field, primary_var_name='u') integral = Integral('i', order=field.approx_order * 2) term = Term.new('dw_volume_dot(v, u)', integral, field.region, v=v, u=u) eq = Equation('aux', term) eqs = Equations([eq]) eqs.time_update(None) dummy = eqs.create_state_vector() mtx = eqs.create_matrix_graph() mtx = eqs.eval_tangent_matrices(dummy, mtx) return mtx def make_l2_projection(target, source, ls=None): """ Project a scalar `source` field variable to a scalar `target` field variable using the :math:`L^2` dot product. """ def eval_variable(ts, coors, mode, **kwargs): val = source.evaluate_at(coors) val.shape = val.shape + (1,) return val make_l2_projection_data(target, eval_variable, ls=ls) def make_l2_projection_data(target, eval_data, order=None, ls=None): """ Project scalar data to a scalar `target` field variable using the :math:`L^2` dot product. Parameters ---------- target : FieldVariable instance The target variable. eval_data : callable or array Either a material-like function `eval_data()`, or an array of values in quadrature points that has to be reshapable to the shape required by `order`. order : int, optional The quadrature order. If not given, it is set to `2 * target.field.approx_order`. """ if order is None: order = 2 * target.field.approx_order integral = Integral('i', order=order) un = FieldVariable('u', 'unknown', target.field) v = FieldVariable('v', 'test', un.field, primary_var_name=un.name) lhs = Term.new('dw_volume_dot(v, %s)' % un.name, integral, un.field.region, v=v, **{un.name : un}) def _eval_data(ts, coors, mode, **kwargs): if mode == 'qp': if callable(eval_data): val = eval_data(ts, coors, mode, **kwargs) else: val = eval_data.reshape((coors.shape[0], 1, 1)) return {'val' : val} m = Material('m', function=_eval_data) rhs = Term.new('dw_volume_lvf(m.val, v)', integral, un.field.region, m=m, v=v) eq = Equation('projection', lhs - rhs) eqs = Equations([eq]) if ls is None: ls = ScipyDirect({}) nls_status = IndexedStruct() nls = Newton({}, lin_solver=ls, status=nls_status) pb = Problem('aux', equations=eqs, nls=nls, ls=ls) pb.time_update() # This sets the un variable with the projection solution. pb.solve() # Copy the projection solution to target. target.set_data(un()) if nls_status.condition != 0: output('L2 projection: solver did not converge!') def make_h1_projection_data(target, eval_data): """ Project scalar data given by a material-like `eval_data()` function to a scalar `target` field variable using the :math:`H^1` dot product. """ order = target.field.approx_order * 2 integral = Integral('i', order=order) un = target.name v = FieldVariable('v', 'test', target.field, primary_var_name=un) lhs1 = Term.new('dw_volume_dot(v, %s)' % un, integral, target.field.region, v=v, **{un : target}) lhs2 = Term.new('dw_laplace(v, %s)' % un, integral, target.field.region, v=v, **{un : target}) def _eval_data(ts, coors, mode, **kwargs): if mode == 'qp': val = eval_data(ts, coors, mode, 'val', **kwargs) gval = eval_data(ts, coors, mode, 'grad', **kwargs) return {'val' : val, 'gval' : gval} m = Material('m', function=_eval_data) rhs1 = Term.new('dw_volume_lvf(m.val, v)', integral, target.field.region, m=m, v=v) rhs2 = Term.new('dw_diffusion_r(m.gval, v)', integral, target.field.region, m=m, v=v) eq = Equation('projection', lhs1 + lhs2 - rhs1 - rhs2) eqs = Equations([eq]) ls = ScipyDirect({}) nls_status = IndexedStruct() nls = Newton({}, lin_solver=ls, status=nls_status) pb = Problem('aux', equations=eqs, nls=nls, ls=ls) pb.time_update() # This sets the target variable with the projection solution. pb.solve() if nls_status.condition != 0: output('H1 projection: solver did not converge!') sfepy-release_2015.1/sfepy/discrete/quadratures.py000066400000000000000000001502651247364230400223100ustar00rootroot00000000000000""" `quadrature_tables` are organized as follows:: quadrature_tables = { '' : { order1 : QuadraturePoints(args1), order2 : QuadraturePoints(args2), ... }, '' : { order1 : QuadraturePoints(args1), order2 : QuadraturePoints(args2), ... }, ... } **Note** The order for quadratures on tensor product domains (`'2_4'`, `'3_8'` geometries) in case of composite Gauss quadratures (products of 1D quadratures) holds for each component separately, so the actual polynomial order may be much higher (up to `order * dimension`). Naming conventions in problem description files:: `__` Integral 'family' is just an arbitrary name given by user. Low order quadrature coordinates and weights copied from The Finite Element Method Displayed by Gouri Dhatt and Gilbert Touzat, Wiley-Interscience Production, 1984. The line integral (geometry '1_2') coordinates and weights are from Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions, Dover Publications, New York, 1972. The triangle (geometry '2_3') coordinates and weights are from Dunavant, D.A., High Degree Efficient Symmetrical Gaussian Quadrature Rules for the Triangle, Int. J. Num. Meth. Eng., 21 (1985) pp 1129-1148 - only rules with points inside the reference triangle are used. The actual values were copied from PHAML (http://math.nist.gov/phaml/), see also Mitchell, W.F., PHAML User's Guide, NISTIR 7374, 2006. Quadrature rules for the quadrilateral (geometry '2_4') and hexahedron (geometry '3_8') of order higher than 5 are computed as the tensor product of the line (geometry '1_2') rules. Quadrature rules for the triangle (geometry '2_3') and tetrahedron (geometry '3_4') of order higher than 19 and 6, respectively follow A. Grundmann and H.M. Moeller, Invariant integration formulas for the n-simplex by combinatorial methods, SIAM J. Numer. Anal. 15 (1978), 282--290. The generating function was adapted from pytools/hegde codes (http://mathema.tician.de/software/hedge) by Andreas Kloeckner. """ import numpy as nm from sfepy.base.base import output, assert_, Struct from sfepy.discrete.simplex_cubature import get_simplex_cubature simplex_geometries = ['1_2', '2_3', '3_4'] tp_geometries = ['2_4', '3_8'] _msg1 = 'WARNING: quadrature order %s is not available for geometry %s!' _msg2 = 'WARNING: using %d instead!' def get_actual_order(geometry, order): """ Return the actual integration order for given geometry. Parameters ---------- geometry : str The geometry key describing the integration domain, see the keys of `quadrature_tables`. Returns ------- order : int If `order` is in quadrature tables it is this value. Otherwise it is the closest higher order. If no higher order is available, a warning is printed and the highest available order is used. """ table = quadrature_tables[geometry] if order not in table: orders = table.keys() ii = nm.searchsorted(orders, order) if ii >= len(orders): omax = max(orders) output(_msg1 % (order, geometry)) output(_msg2 % omax) order = omax else: order = orders[ii] return order class QuadraturePoints(Struct): """ Representation of a set of quadrature points. Parameters ---------- data : array_like The array of shape `(n_point, dim + 1)` of quadrature point coordinates (first `dim` columns) and weights (the last column). coors : array_like, optional Optionally, instead of using `data`, the coordinates and weights can be provided separately - `data` are then ignored. weights : array_like, optional Optionally, instead of using `data`, the coordinates and weights can be provided separately - `data` are then ignored. bounds : (float, float), optional The coordinates and weights should correspond to a reference element in `[0, 1]` x `dim`. Provide the correct bounds if this is not the case. tp_fix : float, optional The value that is used to multiply the tensor product element volume (= 1.0) to get the correct volume. weight_fix : float, optional The value that is used to multiply the weights to get the correct values. symmetric : bool If True, the integral is 1D and the given coordinates and weights are symmetric w.r.t. the centre of bounds; only the non-negative coordinates are given. """ @staticmethod def from_table(geometry, order): """ Create a new :class:`QuadraturePoints` instance, given reference element geometry name and polynomial order. For tensor product geometries, the polynomial order is the 1D (line) order. """ table = quadrature_tables[geometry] if geometry in simplex_geometries: if order > max_orders[geometry]: oo = order / 2 dim = int(geometry[0]) tp_fix = 0.5 if dim == 2 else 1.0 / 6.0 coors, weights, exact = get_simplex_cubature(oo, dim) qp = QuadraturePoints(None, coors=coors, weights=weights, bounds=(-1.0, 1.0), tp_fix=tp_fix) assert_(exact >= order) else: order = get_actual_order(geometry, order) qp = table[order] qp.order = order else: order1d = order dim = int(geometry[0]) order = dim * order1d if order <= max_orders[geometry]: order = get_actual_order(geometry, order) qp = table[order] qp.order = order else: oo = get_actual_order('1_2', order1d) qp1d = quadrature_tables['1_2'][oo] weights = nm.outer(qp1d.weights, qp1d.weights) nc = qp1d.coors.shape[0] if dim == 3: weights = nm.outer(qp1d.weights, weights) iz, iy, ix = nm.mgrid[0:nc, 0:nc, 0:nc] coors = nm.c_[qp1d.coors[ix.ravel()], qp1d.coors[iy.ravel()], qp1d.coors[iz.ravel()]].copy() else: iy, ix = nm.mgrid[0:nc, 0:nc] coors = nm.c_[qp1d.coors[ix.ravel()], qp1d.coors[iy.ravel()]].copy() weights = weights.ravel() qp = QuadraturePoints(None, coors=coors, weights=weights) qp.order = oo return qp def __init__(self, data, coors=None, weights=None, bounds=None, tp_fix=1.0, weight_fix=1.0, symmetric=False): if coors is None: data = nm.array(data, dtype=nm.float64, ndmin=2) self.coors = data[:,:-1].copy() self.weights = data[:,-1].copy() elif weights is not None: self.coors = nm.array(coors, dtype=nm.float64, ndmin=2) self.weights = nm.array(weights, dtype=nm.float64) else: raise ValueError('both "coors" and "weights" have to be provided!') self.weights *= weight_fix self.n_point, self.dim = self.coors.shape self.bounds = (0, 1) bbox = nm.array([self.bounds] * self.dim, dtype=nm.float64) self.volume = nm.prod(bbox.sum(axis=1)) * tp_fix if symmetric: isym = 0 if data[0, 0] == 0 else None if bounds is not None: # Transform from given bounds to self.bounds. bbox = nm.array([bounds] * self.dim, dtype=nm.float64) volume = nm.prod(nm.diff(bbox, axis=1)) * tp_fix a, b = bounds c, d = self.bounds c1 = (d - c) / (b - a) c2 = ((b * c) - (a * d)) / (b - a) self.coors = c1 * self.coors + c2 self.weights *= self.volume / volume if symmetric: if self.coors.shape[1] != 1: msg = 'symmetric mode is allowed for 1D integrals only!' raise ValueError(msg) origin = 0.5 * (self.bounds[0] + self.bounds[1]) self.coors = nm.r_[2 * origin - self.coors[:isym:-1], self.coors] self.weights = nm.r_[self.weights[:isym:-1], self.weights] _QP = QuadraturePoints quadrature_tables = { '1_2' : { 1 : _QP([[0.000000000000000e+00, 2.0]], bounds=(-1.0, 1.0), symmetric=True), 3 : _QP([[0.577350269189626e+00, 1.0]], bounds=(-1.0, 1.0), symmetric=True), 5 : _QP([[0.000000000000000e+00, 0.888888888888889e+00], [0.774596669241483e+00, 0.555555555555556e+00]], bounds=(-1.0, 1.0), symmetric=True), 7 : _QP([[0.339981043584856e+00, 0.652145154862546e+00], [0.861136311594053e+00, 0.347854845137454e+00]], bounds=(-1.0, 1.0), symmetric=True), 9 : _QP([[0.000000000000000e+00, 0.568888888888889e+00], [0.538469310105683e+00, 0.478628670499366e+00], [0.906179845938664e+00, 0.236926885056189e+00]], bounds=(-1.0, 1.0), symmetric=True), 11 : _QP([[0.238619186083197e+00, 0.467913934572691e+00], [0.661209386466265e+00, 0.360761573048139e+00], [0.932469514203152e+00, 0.171324492379170e+00]], bounds=(-1.0, 1.0), symmetric=True), 13 : _QP([[0.000000000000000e+00, 0.417959183673469e+00], [0.405845151377397e+00, 0.381830050505119e+00], [0.741531185599394e+00, 0.279705391489277e+00], [0.949107912342759e+00, 0.129484966168870e+00]], bounds=(-1.0, 1.0), symmetric=True), 15 : _QP([[0.183434642495650e+00, 0.362683783378362e+00], [0.525532409916329e+00, 0.313706645877887e+00], [0.796666477413627e+00, 0.222381034453374e+00], [0.960289856497536e+00, 0.101228536290376e+00]], bounds=(-1.0, 1.0), symmetric=True), 17 : _QP([[0.000000000000000e+00, 0.330239355001260e+00], [0.324253423403809e+00, 0.312347077040003e+00], [0.613371432700590e+00, 0.260610696402935e+00], [0.836031107326636e+00, 0.180648160694857e+00], [0.968160239507626e+00, 0.081274388361574e+00]], bounds=(-1.0, 1.0), symmetric=True), 19 : _QP([[0.148874338981631e+00, 0.295524224714753e+00], [0.433395394129247e+00, 0.269266719309996e+00], [0.679409568299024e+00, 0.219086362515982e+00], [0.865063366688985e+00, 0.149451349150581e+00], [0.973906528517172e+00, 0.066671344308688e+00]], bounds=(-1.0, 1.0), symmetric=True), 23 : _QP([[0.125233408511469e+00, 0.249147045813403e+00], [0.367831498998180e+00, 0.233492536538355e+00], [0.587317954286617e+00, 0.203167426723066e+00], [0.769902674194305e+00, 0.160078328543346e+00], [0.904117256370475e+00, 0.106939325995318e+00], [0.981560634246719e+00, 0.047175336386512e+00]], bounds=(-1.0, 1.0), symmetric=True), 31 : _QP([[0.095012509837637440185e+00, 0.189450610455068496285e+00], [0.281603550779258913230e+00, 0.182603415044923588867e+00], [0.458016777657227386342e+00, 0.169156519395002538189e+00], [0.617876244402643748447e+00, 0.149595988816576732081e+00], [0.755404408355003033895e+00, 0.124628971255533872052e+00], [0.865631202387831743880e+00, 0.095158511682492784810e+00], [0.944575023073232576078e+00, 0.062253523938647892863e+00], [0.989400934991649932596e+00, 0.027152459411754094852e+00]], bounds=(-1.0, 1.0), symmetric=True), 39 : _QP([[0.076526521133497333755e+00, 0.152753387130725850698e+00], [0.227785851141645078080e+00, 0.149172986472603746788e+00], [0.373706088715419560673e+00, 0.142096109318382051329e+00], [0.510867001950827098004e+00, 0.131688638449176626898e+00], [0.636053680726515025453e+00, 0.118194531961518417312e+00], [0.746331906460150792614e+00, 0.101930119817240435037e+00], [0.839116971822218823395e+00, 0.083276741576704748725e+00], [0.912234428251325905868e+00, 0.062672048334109063570e+00], [0.963971927277913791268e+00, 0.040601429800386941331e+00], [0.993128599185094924786e+00, 0.017614007139152118312e+00]], bounds=(-1.0, 1.0), symmetric=True), 47 : _QP([[0.064056892862605626085e+00, 0.127938195346752156974e+00], [0.191118867473616309159e+00, 0.125837456346828296121e+00], [0.315042679696163374387e+00, 0.121670472927803391204e+00], [0.433793507626045138487e+00, 0.115505668053725601353e+00], [0.545421471388839535658e+00, 0.107444270115965634783e+00], [0.648093651936975569252e+00, 0.097618652104113888270e+00], [0.740124191578554364244e+00, 0.086190161531953275917e+00], [0.820001985973902921954e+00, 0.073346481411080305734e+00], [0.886415527004401034213e+00, 0.059298584915436780746e+00], [0.938274552002732758524e+00, 0.044277438817419806169e+00], [0.974728555971309498198e+00, 0.028531388628933663181e+00], [0.995187219997021360180e+00, 0.012341229799987199547e+00]], bounds=(-1.0, 1.0), symmetric=True), }, '2_3' : { 1 : _QP([[1.0/3.0, 1.0/3.0, 0.5]], tp_fix=0.5), 2 : _QP([[1.0/6.0, 1.0/6.0, 1.0/6.0], [2.0/3.0, 1.0/6.0, 1.0/6.0], [1.0/6.0, 2.0/3.0, 1.0/6.0]], tp_fix=0.5), 3 : _QP([[1.0/3.0, 1.0/3.0,-27.0/96.0], [1.0/5.0, 1.0/5.0, 25.0/96.0], [3.0/5.0, 1.0/5.0, 25.0/96.0], [1.0/5.0, 3.0/5.0, 25.0/96.0]], tp_fix=0.5), 4 : _QP([[0.445948490915965e+00, 0.445948490915965e+00, 0.223381589678011e+00], [0.108103018168070e+00, 0.445948490915965e+00, 0.223381589678011e+00], [0.445948490915965e+00, 0.108103018168070e+00, 0.223381589678011e+00], [0.091576213509771e+00, 0.091576213509771e+00, 0.109951743655322e+00], [0.816847572980459e+00, 0.091576213509771e+00, 0.109951743655322e+00], [0.091576213509771e+00, 0.816847572980459e+00, 0.109951743655322e+00]], tp_fix=0.5, weight_fix=0.5), 5 : _QP([[0.333333333333333e+00, 0.333333333333333e+00, 0.225000000000000e+00], [0.470142064105115e+00, 0.470142064105115e+00, 0.132394152788506e+00], [0.059715871789770e+00, 0.470142064105115e+00, 0.132394152788506e+00], [0.470142064105115e+00, 0.059715871789770e+00, 0.132394152788506e+00], [0.101286507323456e+00, 0.101286507323456e+00, 0.125939180544827e+00], [0.797426985353087e+00, 0.101286507323456e+00, 0.125939180544827e+00], [0.101286507323456e+00, 0.797426985353087e+00, 0.125939180544827e+00]], tp_fix=0.5, weight_fix=0.5), 6 : _QP([[0.249286745170910e+00, 0.249286745170910e+00, 0.116786275726379e+00], [0.501426509658179e+00, 0.249286745170910e+00, 0.116786275726379e+00], [0.249286745170910e+00, 0.501426509658179e+00, 0.116786275726379e+00], [0.063089014491502e+00, 0.063089014491502e+00, 0.050844906370207e+00], [0.873821971016996e+00, 0.063089014491502e+00, 0.050844906370207e+00], [0.063089014491502e+00, 0.873821971016996e+00, 0.050844906370207e+00], [0.310352451033784e+00, 0.636502499121399e+00, 0.082851075618374e+00], [0.636502499121399e+00, 0.310352451033784e+00, 0.082851075618374e+00], [0.053145049844817e+00, 0.636502499121399e+00, 0.082851075618374e+00], [0.636502499121399e+00, 0.053145049844817e+00, 0.082851075618374e+00], [0.310352451033784e+00, 0.053145049844817e+00, 0.082851075618374e+00], [0.053145049844817e+00, 0.310352451033784e+00, 0.082851075618374e+00]], tp_fix=0.5, weight_fix=0.5), 7 : _QP([[0.333333333333333e+00, 0.333333333333333e+00,-0.149570044467682e+00], [0.260345966079040e+00, 0.260345966079040e+00, 0.175615257433208e+00], [0.479308067841920e+00, 0.260345966079040e+00, 0.175615257433208e+00], [0.260345966079040e+00, 0.479308067841920e+00, 0.175615257433208e+00], [0.065130102902216e+00, 0.065130102902216e+00, 0.053347235608838e+00], [0.869739794195568e+00, 0.065130102902216e+00, 0.053347235608838e+00], [0.065130102902216e+00, 0.869739794195568e+00, 0.053347235608838e+00], [0.312865496004874e+00, 0.638444188569810e+00, 0.077113760890257e+00], [0.638444188569810e+00, 0.312865496004874e+00, 0.077113760890257e+00], [0.048690315425316e+00, 0.638444188569810e+00, 0.077113760890257e+00], [0.638444188569810e+00, 0.048690315425316e+00, 0.077113760890257e+00], [0.312865496004874e+00, 0.048690315425316e+00, 0.077113760890257e+00], [0.048690315425316e+00, 0.312865496004874e+00, 0.077113760890257e+00]], tp_fix=0.5, weight_fix=0.5), 8 : _QP([[0.333333333333333e+00, 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-0.8571428571428570, -0.8571428571428570, 0.0609777777777780], [-0.2011928476664020, -0.2011928476664020, -0.7988071523335980, 0.1991111111111110], [-0.2011928476664020, -0.7988071523335980, -0.2011928476664020, 0.1991111111111110], [-0.7988071523335980, -0.2011928476664020, -0.2011928476664020, 0.1991111111111110], [-0.2011928476664020, -0.7988071523335980, -0.7988071523335980, 0.1991111111111110], [-0.7988071523335980, -0.2011928476664020, -0.7988071523335980, 0.1991111111111110], [-0.7988071523335980, -0.7988071523335980, -0.2011928476664020, 0.1991111111111110]], bounds=(-1.0, 1.0), tp_fix=1.0/6.0), 6 : _QP([[-0.5707942574816960, -0.5707942574816960, -0.5707942574816960, 0.0532303336775570], [-0.2876172275549120, -0.5707942574816960, -0.5707942574816960, 0.0532303336775570], [-0.5707942574816960, -0.2876172275549120, -0.5707942574816960, 0.0532303336775570], [-0.5707942574816960, -0.5707942574816960, -0.2876172275549120, 0.0532303336775570], [-0.9186520829307770, 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[-0.8726779962499650, -0.4606553370833680, 0.2060113295832980, 0.0642857142857140], [-0.8726779962499650, 0.2060113295832980, -0.4606553370833680, 0.0642857142857140], [-0.4606553370833680, -0.8726779962499650, -0.8726779962499650, 0.0642857142857140], [-0.4606553370833680, -0.8726779962499650, 0.2060113295832980, 0.0642857142857140], [-0.4606553370833680, 0.2060113295832980, -0.8726779962499650, 0.0642857142857140], [0.2060113295832980, -0.8726779962499650, -0.4606553370833680, 0.0642857142857140], [0.2060113295832980, -0.8726779962499650, -0.8726779962499650, 0.0642857142857140], [0.2060113295832980, -0.4606553370833680, -0.8726779962499650, 0.0642857142857140]], bounds=(-1.0, 1.0), tp_fix=1.0/6.0), }, '3_8' : { 2 : _QP([[ 0.0 , nm.sqrt(2.0/3.0),-1/nm.sqrt(3), 2.0], [ 0.0 ,-nm.sqrt(2.0/3.0),-1/nm.sqrt(3), 2.0], [ nm.sqrt(2.0/3.0), 0.0 , 1/nm.sqrt(3), 2.0], [-nm.sqrt(2.0/3.0), 0.0 , 1/nm.sqrt(3), 2.0]], bounds=(-1.0, 1.0)), 3 : _QP([[-1.0, 0.0, 0.0, 4.0/3.0], [ 1.0, 0.0, 0.0, 4.0/3.0], [ 0.0,-1.0, 0.0, 4.0/3.0], [ 0.0, 1.0, 0.0, 4.0/3.0], [ 0.0, 0.0,-1.0, 4.0/3.0], [ 0.0, 0.0, 1.0, 4.0/3.0]], bounds=(-1.0, 1.0)), 5 : _QP([[-nm.sqrt(19.0/30.0), 0.0 , 0.0 , 320.0/361.0], [ nm.sqrt(19.0/30.0), 0.0 , 0.0 , 320.0/361.0], [ 0.0 ,-nm.sqrt(19.0/30.0), 0.0 , 320.0/361.0], [ 0.0 , nm.sqrt(19.0/30.0), 0.0 , 320.0/361.0], [ 0.0 , 0.0 ,-nm.sqrt(19.0/30.0), 320.0/361.0], [ 0.0 , 0.0 , nm.sqrt(19.0/30.0), 320.0/361.0], [ nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), 121.0/361.0], [ nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), 121.0/361.0], [ nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), 121.0/361.0], [ nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), 121.0/361.0], [-nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), 121.0/361.0], [-nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), 121.0/361.0], [-nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), nm.sqrt(19.0/33.0), 121.0/361.0], [-nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0),-nm.sqrt(19.0/33.0), 121.0/361.0]], bounds=(-1.0, 1.0)), }, } del _QP def _get_max_orders(): max_orders = {} for key, table in quadrature_tables.iteritems(): orders = table.keys() max_orders[key] = max(orders) return max_orders max_orders = _get_max_orders() sfepy-release_2015.1/sfepy/discrete/setup.py000066400000000000000000000010141247364230400210730ustar00rootroot00000000000000def configuration(parent_package='',top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) subdirs = [ 'common', 'fem', 'iga', ] for subdir in subdirs: config.add_subpackage(subdir) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/discrete/simplex_cubature.py000066400000000000000000000104441247364230400233150ustar00rootroot00000000000000""" Generate simplex quadrature points. Code taken and adapted from pytools/hedge by Andreas Kloeckner. """ from __future__ import division import numpy as nm def generate_decreasing_nonnegative_tuples_summing_to(n, length, min=0, max=None): if length == 0: yield () elif length == 1: if n <= max: #print "MX", n, max yield (n,) else: return else: if max is None or n < max: max = n for i in range(min, max+1): #print "SIG", sig, i for remainder in generate_decreasing_nonnegative_tuples_summing_to( n-i, length-1, min, i): yield (i,) + remainder def generate_permutations(original): """ Generate all permutations of the list `original'. Nicked from http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/252178 """ if len(original) <=1: yield original else: for perm in generate_permutations(original[1:]): for i in range(len(perm)+1): #nb str[0:1] works in both string and list contexts yield perm[:i] + original[0:1] + perm[i:] def generate_unique_permutations(original): """ Generate all unique permutations of the list `original'. """ had_those = set() for perm in generate_permutations(original): if perm not in had_those: had_those.add(perm) yield perm def wandering_element(length, wanderer=1, landscape=0): for i in range(length): yield i*(landscape,) + (wanderer,) + (length-1-i)*(landscape,) def factorial(n): from operator import mul assert n == int(n) return reduce(mul, (i for i in xrange(1,n+1)), 1) def _extended_euclidean(q, r): """ Return a tuple (p, a, b) such that p = aq + br, where p is the greatest common divisor. """ # see [Davenport], Appendix, p. 214 if abs(q) < abs(r): p, a, b = _extended_euclidean(r, q) return p, b, a Q = 1, 0 R = 0, 1 while r: quot, t = divmod(q, r) T = Q[0] - quot*R[0], Q[1] - quot*R[1] q, r = r, t Q, R = R, T return q, Q[0], Q[1] def _gcd(q, r): return _extended_euclidean(q, r)[0] def _simplify_fraction((a, b)): gcd = _gcd(a,b) return (a//gcd, b//gcd) def get_simplex_cubature(order, dimension): """ Cubature on an M{n}-simplex. cf. A. Grundmann and H.M. Moeller, Invariant integration formulas for the n-simplex by combinatorial methods, SIAM J. Numer. Anal. 15 (1978), 282--290. This cubature rule has both negative and positive weights. It is exact for polynomials up to order :math:`2s+1`, where :math:`s` is given as *order*. The integration domain is the unit simplex .. math:: T_n := \{(x_1, \dots, x_n): x_i \ge -1, \sum_i x_i \le -1\} """ s = order n = dimension d = exact_to = 2*s+1 points_to_weights = {} for i in xrange(s+1): weight = (-1)**i * 2**(-2*s) \ * (d + n-2*i)**d \ / factorial(i) \ / factorial(d+n-i) for t in generate_decreasing_nonnegative_tuples_summing_to(s-i, n+1): for beta in generate_unique_permutations(t): denominator = d+n-2*i point = tuple( _simplify_fraction((2*beta_i+1, denominator)) for beta_i in beta) points_to_weights[point] = points_to_weights.get(point, 0) \ + weight from operator import add vertices = [-1 * nm.ones((n,))] \ + [nm.array(x) for x in wandering_element(n, landscape=-1, wanderer=1)] pos_points = [] pos_weights = [] neg_points = [] neg_weights = [] dim_factor = 2**n for p, w in points_to_weights.iteritems(): real_p = reduce(add, (a/b*v for (a,b),v in zip(p, vertices))) if w > 0: pos_points.append(real_p) pos_weights.append(dim_factor*w) else: neg_points.append(real_p) neg_weights.append(dim_factor*w) points = nm.array(pos_points + neg_points) weights = nm.array(pos_weights + neg_weights) return points, weights, exact_to sfepy-release_2015.1/sfepy/discrete/state.py000066400000000000000000000226641247364230400210710ustar00rootroot00000000000000""" Module for handling state variables. """ import numpy as nm from sfepy.base.base import Struct class State(Struct): """ Class holding/manipulating the state variables and corresponding DOF vectors. Manipulating the state class changes the underlying variables, and hence also the corresponding equations/terms (if any). Notes ----- This class allows working with LCBC conditions in time-dependent problems, as it keeps track of the reduced DOF vector that cannot be reconstructed from the full DOF vector by using the usual `variables.strip_state_vector()`. """ @staticmethod def from_variables(variables): """ Create a State instance for the given variables. The DOF vector is created using the DOF data in `variables`. Parameters ---------- variables : Variables instance The variables. """ parts = variables.get_state_parts() vec = variables.create_state_vector() for key, part in parts.iteritems(): indx = variables.get_indx(key) vec[indx] = part return State(variables, vec) def __init__(self, variables, vec=None, preserve_caches=False): """ Create a State instance for the given variables. Parameters ---------- variables : Variables instance The variables. vec : array, optional The (initial) DOF vector corresponding to the variables. preserve_caches : bool If True, do not invalidate evaluate caches of variables. """ Struct.__init__(self, variables=variables, vec=vec, r_vec=None) if self.vec is None: self.vec = variables.create_state_vector() self.variables.set_data(self.vec, preserve_caches=preserve_caches) def copy(self, deep=False, preserve_caches=False): """ Copy the state. By default, the new state contains the same variables, and creates new DOF vectors. If `deep` is True, also the DOF vectors are copied. Parameters ---------- deep : bool If True, make a copy of the DOF vectors. preserve_caches : bool If True, do not invalidate evaluate caches of variables. """ if deep: other = State(self.variables, self.vec.copy(), preserve_caches=True) if self.r_vec is not None: other.r_vec = self.r_vec.copy() else: other = State(self.variables, preserve_caches=True) return other def fill(self, value): """ Fill the DOF vector with given value. """ if self.r_vec is not None: self.r_vec.fill(value) self.vec.fill(value) def init_history(self): """ Initialize variables with history. """ self.variables.init_history() def apply_ebc(self, force_values=None): """ Apply essential (Dirichlet) boundary conditions to the state. """ self.variables.apply_ebc(self.vec, force_values=force_values) def has_ebc(self): """ Test whether the essential (Dirichlet) boundary conditions have been applied to the DOF vector. """ return self.variables.has_ebc(self.vec) def apply_ic(self, force_values=None): """ Apply initial conditions to the state. """ if self.r_vec is not None: raise ValueError('cannot re-apply initial conditions with LCBCs!') self.variables.apply_ic(self.vec, force_values=force_values) def get_reduced(self, follow_epbc=False): """ Get the reduced DOF vector, with EBC and PBC DOFs removed. """ strip = self.variables.strip_state_vector if self.variables.has_lcbc: if self.r_vec is None: r_vec = strip(self.vec, follow_epbc=follow_epbc) # This just sets the correct vector size (wrong values)! r_vec = self.variables.mtx_lcbc.T * r_vec else: r_vec = self.r_vec else: r_vec = strip(self.vec, follow_epbc=follow_epbc) return r_vec def set_reduced(self, r_vec, preserve_caches=False): """ Set the reduced DOF vector, with EBC and PBC DOFs removed. Parameters ---------- r_vec : array The reduced DOF vector corresponding to the variables. preserve_caches : bool If True, do not invalidate evaluate caches of variables. """ self.vec = self.variables.make_full_vec(r_vec) if self.variables.has_lcbc: self.r_vec = r_vec self.variables.set_data(self.vec, preserve_caches=preserve_caches) def set_full(self, vec, var_name=None, force=False): """ Set the full DOF vector (including EBC and PBC DOFs). If `var_name` is given, set only the DOF sub-vector corresponding to the given variable. If `force` is True, setting variables with LCBC DOFs is allowed. """ if var_name is None: if self.variables.has_lcbc and not force: raise ValueError('cannot set full DOF vector with LCBCs!') self.vec = vec self.variables.set_data(self.vec) else: var = self.variables[var_name] if var.has_lcbc and not force: raise ValueError('cannot set full DOF vector with LCBCs!') self.variables.set_state_part(self.vec, vec, var_name) var.set_data(self.vec, self.variables.get_indx(var_name)) def __call__(self, var_name=None): """ Get the full DOF vector (including EBC and PBC DOFs). If `var_name` is given, return only the DOF vector corresponding to the given variable. """ if var_name is None: out = self.vec else: out = self.variables.get_state_part_view(self.vec, var_name) return out def set_parts(self, parts, force=False): """ Set parts of the DOF vector corresponding to individual state variables. Parameters ---------- parts : dict The dictionary of the DOF vector parts. """ if self.variables.has_lcbc and not force: raise ValueError('cannot set full DOF vector with LCBCs!') self.variables.set_data(parts) for key, part in parts.iteritems(): indx = self.variables.get_indx(key) self.vec[indx] = part def get_parts(self): """ Return parts of the DOF vector corresponding to individual state variables. Returns ------- out : dict The dictionary of the DOF vector parts. """ return self.variables.get_state_parts(self.vec) def create_output_dict(self, fill_value=None, var_info=None, extend=True, linearization=None): """ Transforms state to an output dictionary, that can be passed as 'out' kwarg to Mesh.write(). Then the dictionary entries are formed by components of the state vector corresponding to unknown variables according to kind of linearization given by `linearization`. Examples -------- >>> out = state.create_output_dict() >>> problem.save_state('file.vtk', out=out) """ return self.variables.state_to_output(self.vec, fill_value, var_info, extend, linearization=linearization) def get_weighted_norm(self, vec, weights=None, return_weights=False): """ Return the weighted norm of DOF vector `vec`. By default, each component of `vec` is weighted by the 1/norm of the corresponding state part, or 1 if the norm is zero. Alternatively, the weights can be provided explicitly using `weights` argument. Parameters ---------- vec : array The DOF vector corresponding to the variables. weights : dict, optional If given, the weights are used instead of the norms of the state parts. Keys of the dictionary must be equal to the names of variables comprising the DOF vector. return_weights: bool If True, return also the used weights. Returns ------- norm : float The weighted norm. weights : dict, optional If `return_weights` is True, the used weights. Examples -------- >>> err = state0.get_weighted_norm(state() - state0()) """ if weights is None: parts = self.get_parts() weights = {} for key, part in parts.iteritems(): pnorm = nm.linalg.norm(part) if pnorm < 10.0 * nm.finfo(nm.float64).eps: pnorm = 1.0 weights[key] = 1.0 / pnorm else: if set(weights.keys()) != self.variables.state: raise ValueError('weights keys have to be in %s!' % self.variables.state) wvec = vec.copy() for key in weights.iterkeys(): indx = self.variables.get_indx(key) wvec[indx] *= weights[key] norm = nm.linalg.norm(wvec) if return_weights: return norm, weights else: return norm sfepy-release_2015.1/sfepy/discrete/variables.py000066400000000000000000002065671247364230400217270ustar00rootroot00000000000000""" Classes of variables for equations/terms. """ import time from collections import deque import numpy as nm from sfepy.base.base import (real_types, complex_types, assert_, get_default, output, OneTypeList, Container, Struct, basestr, iter_dict_of_lists) import sfepy.linalg as la from sfepy.discrete.functions import Function from sfepy.discrete.conditions import get_condition_value from sfepy.discrete.integrals import Integral from sfepy.discrete.common.dof_info import (DofInfo, EquationMap, expand_nodes_to_equations, is_active_bc) from sfepy.discrete.fem.lcbc_operators import LCBCOperators from sfepy.discrete.common.mappings import get_physical_qps from sfepy.discrete.evaluate_variable import eval_real, eval_complex is_state = 0 is_virtual = 1 is_parameter = 2 is_field = 10 def create_adof_conns(conn_info, var_indx=None, verbose=True): """ Create active DOF connectivities for all variables referenced in `conn_info`. If a variable has not the equation mapping, a trivial mapping is assumed and connectivity with all DOFs active is created. DOF connectivity key is a tuple ``(primary variable name, region name, type, ig, is_trace flag)``. """ var_indx = get_default(var_indx, {}) def _create(var, econn): if var.eq_map is None: eq = nm.arange(var.n_dof, dtype=nm.int32) else: eq = var.eq_map.eq offset = var_indx.get(var.name, slice(0, 0)).start adc = create_adof_conn(eq, econn, var.n_components, offset) return adc def _iter_igs(adof_conns, info, region, var, field, is_trace): for ig in region.igs: key = (var.name, region.name, info.dc_type.type, ig, is_trace) if not key in adof_conns: econn = field.get_econn(info.dc_type, region, ig, is_trace=is_trace) if econn is None: continue adof_conns[key] = _create(var, econn) if info.is_trace: key = (var.name, region.name, info.dc_type.type, ig, False) if not key in adof_conns: econn = field.get_econn(info.dc_type, region, ig, is_trace=False) adof_conns[key] = _create(var, econn) if verbose: output('setting up dof connectivities...') tt = time.clock() adof_conns = {} for key, ii, info in iter_dict_of_lists(conn_info, return_keys=True): if info.primary is not None: var = info.primary field = var.get_field() field.setup_extra_data(info.ps_tg, info, info.is_trace) region = info.get_region() _iter_igs(adof_conns, info, region, var, field, info.is_trace) if info.has_virtual and not info.is_trace: var = info.virtual field = var.get_field() field.setup_extra_data(info.v_tg, info, False) aux = var.get_primary() var = aux if aux is not None else var region = info.get_region(can_trace=False) _iter_igs(adof_conns, info, region, var, field, False) if verbose: output('...done in %.2f s' % (time.clock() - tt)) return adof_conns def create_adof_conn(eq, conn, dpn, offset): """ Given a node connectivity, number of DOFs per node and equation mapping, create the active dof connectivity. Locally (in a connectivity row), the DOFs are stored DOF-by-DOF (u_0 in all local nodes, u_1 in all local nodes, ...). Globally (in a state vector), the DOFs are stored node-by-node (u_0, u_1, ..., u_X in node 0, u_0, u_1, ..., u_X in node 1, ...). """ if dpn == 1: aux = nm.take(eq, conn) adc = aux + nm.asarray(offset * (aux >= 0), dtype=nm.int32) else: n_el, n_ep = conn.shape adc = nm.empty((n_el, n_ep * dpn), dtype=conn.dtype) ii = 0 for idof in xrange(dpn): aux = nm.take(eq, dpn * conn + idof) adc[:, ii : ii + n_ep] = aux + nm.asarray(offset * (aux >= 0), dtype=nm.int32) ii += n_ep return adc class Variables(Container): """ Container holding instances of Variable. """ @staticmethod def from_conf(conf, fields): """ This method resets the variable counters for automatic order! """ Variable.reset() obj = Variables() for key, val in conf.iteritems(): var = Variable.from_conf(key, val, fields) obj[var.name] = var obj.setup_dtype() obj.setup_ordering() return obj def __init__(self, variables=None): Container.__init__(self, OneTypeList(Variable), state=set(), virtual=set(), parameter=set(), has_virtual_dcs=False, has_lcbc=False, has_lcbc_rhs=False, has_eq_map=False, ordered_state=[], ordered_virtual=[]) if variables is not None: for var in variables: self[var.name] = var self.setup_ordering() self.setup_dtype() self.adof_conns = {} def __setitem__(self, ii, var): Container.__setitem__(self, ii, var) if var.is_state(): self.state.add(var.name) elif var.is_virtual(): self.virtual.add(var.name) elif var.is_parameter(): self.parameter.add(var.name) var._variables = self self.setup_ordering() self.setup_dof_info() def setup_dtype(self): """ Setup data types of state variables - all have to be of the same data type, one of nm.float64 or nm.complex128. """ dtypes = {nm.complex128 : 0, nm.float64 : 0} for var in self.iter_state(ordered=False): dtypes[var.dtype] += 1 if dtypes[nm.float64] and dtypes[nm.complex128]: raise ValueError("All variables must have the same dtype!") elif dtypes[nm.float64]: self.dtype = nm.float64 elif dtypes[nm.complex128]: self.dtype = nm.complex128 else: self.dtype = None def link_duals(self): """ Link state variables with corresponding virtual variables, and assign link to self to each variable instance. Usually, when solving a PDE in the weak form, each state variable has a corresponding virtual variable. """ for ii in self.state: self[ii].dual_var_name = None for ii in self.virtual: vvar = self[ii] try: self[vvar.primary_var_name].dual_var_name = vvar.name except IndexError: pass def get_dual_names(self): """ Get names of pairs of dual variables. Returns ------- duals : dict The dual names as virtual name : state name pairs. """ duals = {} for name in self.virtual: duals[name] = self[name].primary_var_name return duals def setup_ordering(self): """ Setup ordering of variables. """ self.link_duals() orders = [] for var in self: try: orders.append(var._order) except: pass orders.sort() self.ordered_state = [None] * len(self.state) for var in self.iter_state(ordered=False): ii = orders.index(var._order) self.ordered_state[ii] = var.name self.ordered_virtual = [None] * len(self.virtual) ii = 0 for var in self.iter_state(ordered=False): if var.dual_var_name is not None: self.ordered_virtual[ii] = var.dual_var_name ii += 1 def has_virtuals(self): return len(self.virtual) > 0 def setup_dof_info(self, make_virtual=False): """ Setup global DOF information. """ self.di = DofInfo('state_dof_info') for var_name in self.ordered_state: self.di.append_variable(self[var_name]) if make_virtual: self.vdi = DofInfo('virtual_dof_info') for var_name in self.ordered_virtual: self.vdi.append_variable(self[var_name]) else: self.vdi = self.di def setup_lcbc_operators(self, lcbcs, ts=None, functions=None): """ Prepare linear combination BC operator matrix and right-hand side vector. """ from sfepy.discrete.common.region import are_disjoint if lcbcs is None: self.lcdi = self.adi return self.lcbcs = lcbcs if (ts is None) or ((ts is not None) and (ts.step == 0)): regs = [] var_names = [] for bcs in self.lcbcs: for bc in bcs.iter_single(): vns = bc.get_var_names() regs.append(bc.regions[0]) var_names.append(vns[0]) if bc.regions[1] is not None: regs.append(bc.regions[1]) var_names.append(vns[1]) for i0 in xrange(len(regs) - 1): for i1 in xrange(i0 + 1, len(regs)): if ((var_names[i0] == var_names[i1]) and not are_disjoint(regs[i0], regs[i1])): raise ValueError('regions %s and %s are not disjoint!' % (regs[i0].name, regs[i1].name)) ops = LCBCOperators('lcbcs', self, functions=functions) for bcs in self.lcbcs: for bc in bcs.iter_single(): vns = bc.get_var_names() dofs = [self[vn].dofs for vn in vns if vn is not None] bc.canonize_dof_names(*dofs) if not is_active_bc(bc, ts=ts, functions=functions): continue output('lcbc:', bc.name) ops.add_from_bc(bc, ts) aux = ops.make_global_operator(self.adi) self.mtx_lcbc, self.vec_lcbc, self.lcdi = aux self.has_lcbc = self.mtx_lcbc is not None self.has_lcbc_rhs = self.vec_lcbc is not None def get_lcbc_operator(self): if self.has_lcbc: return self.mtx_lcbc else: raise ValueError('no LCBC defined!') def equation_mapping(self, ebcs, epbcs, ts, functions, problem=None): """ Create the mapping of active DOFs from/to all DOFs for all state variables. Returns ------- active_bcs : set The set of boundary conditions active in the current time. """ self.ebcs = ebcs self.epbcs = epbcs ## # Assing EBC, PBC to variables and regions. if ebcs is not None: self.bc_of_vars = self.ebcs.group_by_variables() else: self.bc_of_vars = {} if epbcs is not None: self.bc_of_vars = self.epbcs.group_by_variables(self.bc_of_vars) ## # List EBC nodes/dofs for each variable. active_bcs = set() for var_name in self.di.var_names: var = self[var_name] bcs = self.bc_of_vars.get(var.name, None) var_di = self.di.get_info(var_name) active = var.equation_mapping(bcs, var_di, ts, functions, problem=problem) active_bcs.update(active) if self.has_virtual_dcs: vvar = self[var.dual_var_name] vvar_di = self.vdi.get_info(var_name) active = vvar.equation_mapping(bcs, vvar_di, ts, functions, problem=problem) active_bcs.update(active) self.adi = DofInfo('active_state_dof_info') for var_name in self.ordered_state: self.adi.append_variable(self[var_name], active=True) if self.has_virtual_dcs: self.avdi = DofInfo('active_virtual_dof_info') for var_name in self.ordered_virtual: self.avdi.append_variable(self[var_name], active=True) else: self.avdi = self.adi self.has_eq_map = True return active_bcs def get_matrix_shape(self): if not self.has_eq_map: raise ValueError('call equation_mapping() first!') return (self.avdi.ptr[-1], self.adi.ptr[-1]) def setup_initial_conditions(self, ics, functions): self.ics = ics self.ic_of_vars = self.ics.group_by_variables() for var_name in self.di.var_names: var = self[var_name] ics = self.ic_of_vars.get(var.name, None) if ics is None: continue var.setup_initial_conditions(ics, self.di, functions) def set_adof_conns(self, adof_conns): """ Set all active DOF connectivities to `self` as well as relevant sub-dicts to the individual variables. """ self.adof_conns = adof_conns for var in self: var.adof_conns = {} for key, val in adof_conns.iteritems(): if key[0] in self.names: var = self[key[0]] var.adof_conns[key] = val var = var.get_dual() if var is not None: var.adof_conns[key] = val def create_state_vector(self): vec = nm.zeros((self.di.ptr[-1],), dtype=self.dtype) return vec def create_stripped_state_vector(self): vec = nm.zeros((self.adi.ptr[-1],), dtype=self.dtype) return vec def apply_ebc(self, vec, force_values=None): """ Apply essential (Dirichlet) and periodic boundary conditions defined for the state variables to vector `vec`. """ for var in self.iter_state(): var.apply_ebc(vec, self.di.indx[var.name].start, force_values) def apply_ic(self, vec, force_values=None): """ Apply initial conditions defined for the state variables to vector `vec`. """ for var in self.iter_state(): var.apply_ic(vec, self.di.indx[var.name].start, force_values) def strip_state_vector(self, vec, follow_epbc=False): """ Get the reduced DOF vector, with EBC and PBC DOFs removed. Notes ----- If 'follow_epbc' is True, values of EPBC master dofs are not simply thrown away, but added to the corresponding slave dofs, just like when assembling. For vectors with state (unknown) variables it should be set to False, for assembled vectors it should be set to True. """ svec = nm.empty((self.adi.ptr[-1],), dtype=self.dtype) for var in self.iter_state(): aindx = self.adi.indx[var.name] svec[aindx] = var.get_reduced(vec, self.di.indx[var.name].start, follow_epbc) return svec def make_full_vec(self, svec, force_value=None): """ Make a full DOF vector satisfying E(P)BCs from a reduced DOF vector. Parameters ---------- svec : array The reduced DOF vector. force_value : float, optional Passing a `force_value` overrides the EBC values. Returns ------- vec : array The full DOF vector. """ self.check_vector_size(svec, stripped=True) if self.has_lcbc: if self.has_lcbc_rhs: svec = self.mtx_lcbc * svec + self.vec_lcbc else: svec = self.mtx_lcbc * svec vec = self.create_state_vector() for var in self.iter_state(): indx = self.di.indx[var.name] aindx = self.adi.indx[var.name] var.get_full(svec, aindx.start, force_value, vec, indx.start) return vec def has_ebc(self, vec, force_values=None): for var_name in self.di.var_names: eq_map = self[var_name].eq_map i0 = self.di.indx[var_name].start ii = i0 + eq_map.eq_ebc if force_values is None: if not nm.allclose(vec[ii], eq_map.val_ebc): return False else: if isinstance(force_values, dict): if not nm.allclose(vec[ii], force_values[var_name]): return False else: if not nm.allclose(vec[ii], force_values): return False # EPBC. if not nm.allclose(vec[i0+eq_map.master], vec[i0+eq_map.slave]): return False return True def get_indx(self, var_name, stripped=False, allow_dual=False): var = self[var_name] if not var.is_state(): if allow_dual and var.is_virtual(): var_name = var.primary_var_name else: msg = '%s is not a state part' % var_name raise IndexError(msg) if stripped: return self.adi.indx[var_name] else: return self.di.indx[var_name] def check_vector_size(self, vec, stripped=False): """ Check whether the shape of the DOF vector corresponds to the total number of DOFs of the state variables. Parameters ---------- vec : array The vector of DOF values. stripped : bool If True, the size of the DOF vector should be reduced, i.e. without DOFs fixed by boundary conditions. """ if not stripped: n_dof = self.di.get_n_dof_total() if vec.size != n_dof: msg = 'incompatible data size!' \ ' (%d (variables) == %d (DOF vector))' \ % (n_dof, vec.size) raise ValueError(msg) else: if self.has_lcbc: n_dof = self.lcdi.get_n_dof_total() else: n_dof = self.adi.get_n_dof_total() if vec.size != n_dof: msg = 'incompatible data size!' \ ' (%d (active variables) == %d (reduced DOF vector))' \ % (n_dof, vec.size) raise ValueError(msg) def get_state_part_view(self, state, var_name, stripped=False): self.check_vector_size(state, stripped=stripped) return state[self.get_indx(var_name, stripped)] def set_state_part(self, state, part, var_name, stripped=False): self.check_vector_size(state, stripped=stripped) state[self.get_indx(var_name, stripped)] = part def get_state_parts(self, vec=None): """ Return parts of a state vector corresponding to individual state variables. Parameters ---------- vec : array, optional The state vector. If not given, then the data stored in the variables are returned instead. Returns ------- out : dict The dictionary of the state parts. """ if vec is not None: self.check_vector_size(vec) out = {} for var in self.iter_state(): if vec is None: out[var.name] = var() else: out[var.name] = vec[self.di.indx[var.name]] return out def set_data(self, data, step=0, ignore_unknown=False, preserve_caches=False): """ Set data (vectors of DOF values) of variables. Parameters ---------- data : array The state vector or dictionary of {variable_name : data vector}. step : int, optional The time history step, 0 (default) = current. ignore_unknown : bool, optional Ignore unknown variable names if `data` is a dict. preserve_caches : bool If True, do not invalidate evaluate caches of variables. """ if data is None: return if isinstance(data, dict): for key, val in data.iteritems(): try: var = self[key] except (ValueError, IndexError): if ignore_unknown: pass else: raise KeyError('unknown variable! (%s)' % key) else: var.set_data(val, step=step, preserve_caches=preserve_caches) elif isinstance(data, nm.ndarray): self.check_vector_size(data) for ii in self.state: var = self[ii] var.set_data(data, self.di.indx[var.name], preserve_caches=preserve_caches) else: raise ValueError('unknown data class! (%s)' % data.__class__) def set_data_from_state(self, var_names, state, var_names_state): """ Set variables with names in `var_names` from state variables with names in `var_names_state` using DOF values in the state vector `state`. """ self.check_vector_size(state) if isinstance(var_names, basestr): var_names = [var_names] var_names_state = [var_names_state] for ii, var_name in enumerate(var_names): var_name_state = var_names_state[ii] if self[var_name_state].is_state(): self[var_name].set_data(state, self.di.indx[var_name_state]) else: msg = '%s is not a state part' % var_name_state raise IndexError(msg) def state_to_output(self, vec, fill_value=None, var_info=None, extend=True, linearization=None): """ Convert a state vector to a dictionary of output data usable by Mesh.write(). """ di = self.di if var_info is None: self.check_vector_size(vec) var_info = {} for name in di.var_names: var_info[name] = (False, name) out = {} for key, indx in di.indx.iteritems(): var = self[key] if key not in var_info.keys(): continue is_part, name = var_info[key] if is_part: aux = vec else: aux = vec[indx] out.update(var.create_output(aux, extend=extend, fill_value=fill_value, linearization=linearization)) return out def iter_state(self, ordered=True): if ordered: for ii in self.ordered_state: yield self[ii] else: for ii in self.state: yield self[ii] def init_history(self): for var in self.iter_state(): var.init_history() def time_update(self, ts, functions, verbose=True): if verbose: output('updating variables...') for var in self: var.time_update(ts, functions) if verbose: output('...done') def advance(self, ts): for var in self.iter_state(): var.advance(ts) class Variable(Struct): _count = 0 _orders = [] _all_var_names = set() @staticmethod def reset(): Variable._count = 0 Variable._orders = [] Variable._all_var_names = set() @staticmethod def from_conf(key, conf, fields): aux = conf.kind.split() if len(aux) == 2: kind, family = aux elif len(aux) == 3: kind, family = aux[0], '_'.join(aux[1:]) else: raise ValueError('variable kind is 2 or 3 words! (%s)' % conf.kind) history = conf.get('history', None) if history is not None: try: history = int(history) assert_(history >= 0) except (ValueError, TypeError): raise ValueError('history must be integer >= 0! (got "%s")' % history) order = conf.get('order', None) if order is not None: order = int(order) primary_var_name = conf.get('dual', None) if primary_var_name is None: if hasattr(conf, 'like'): primary_var_name = get_default(conf.like, '(set-to-None)') else: primary_var_name = None special = conf.get('special', None) if family == 'field': try: fld = fields[conf.field] except IndexError: msg = 'field "%s" does not exist!' % conf.field raise KeyError(msg) obj = FieldVariable(conf.name, kind, fld, order, primary_var_name, special=special, key=key, history=history) else: raise ValueError('unknown variable family! (%s)' % family) return obj def __init__(self, name, kind, order=None, primary_var_name=None, special=None, flags=None, **kwargs): Struct.__init__(self, name=name, **kwargs) self.flags = set() if flags is not None: for flag in flags: self.flags.add(flag) self.indx = slice(None) self.n_dof = None self.step = 0 self.dt = 1.0 self.initial_condition = None self.dual_var_name = None self.eq_map = None if self.is_virtual(): self.data = None else: self.data = deque() self.data.append(None) self._set_kind(kind, order, primary_var_name, special=special) Variable._all_var_names.add(name) def _set_kind(self, kind, order, primary_var_name, special=None): if kind == 'unknown': self.flags.add(is_state) if order is not None: if order in Variable._orders: raise ValueError('order %d already used!' % order) else: self._order = order Variable._orders.append(order) else: self._order = Variable._count Variable._orders.append(self._order) Variable._count += 1 self.dof_name = self.name elif kind == 'test': if primary_var_name == self.name: raise ValueError('primary variable for %s cannot be %s!' % (self.name, primary_var_name)) self.flags.add(is_virtual) msg = 'test variable %s: related unknown missing' % self.name self.primary_var_name = get_default(primary_var_name, None, msg) self.dof_name = self.primary_var_name elif kind == 'parameter': self.flags.add(is_parameter) msg = 'parameter variable %s: related unknown missing' % self.name self.primary_var_name = get_default(primary_var_name, None, msg) if self.primary_var_name == '(set-to-None)': self.primary_var_name = None self.dof_name = self.primary_var_name if special is not None: self.special = special else: raise NotImplementedError('unknown variable kind: %s' % kind) self.kind = kind def _setup_dofs(self, n_nod, n_components, val_shape): """ Setup number of DOFs and DOF names. """ self.n_nod = n_nod self.n_components = n_components self.val_shape = val_shape self.n_dof = self.n_nod * self.n_components if self.dof_name is None: dof_name = 'aux' else: dof_name = self.dof_name self.dofs = [dof_name + ('.%d' % ii) for ii in range(self.n_components)] def get_primary(self): """ Get the corresponding primary variable. Returns ------- var : Variable instance The primary variable, or `self` for state variables or if `primary_var_name` is None, or None if no other variables are defined. """ if self.is_state(): var = self elif self.primary_var_name is not None: if ((self._variables is not None) and (self.primary_var_name in self._variables.names)): var = self._variables[self.primary_var_name] else: var = None else: var = self return var def get_dual(self): """ Get the dual variable. Returns ------- var : Variable instance The primary variable for non-state variables, or the dual variable for state variables. """ if self.is_state(): if ((self._variables is not None) and (self.dual_var_name in self._variables.names)): var = self._variables[self.dual_var_name] else: var = None else: if ((self._variables is not None) and (self.primary_var_name in self._variables.names)): var = self._variables[self.primary_var_name] else: var = None return var def is_state(self): return is_state in self.flags def is_virtual(self): return is_virtual in self.flags def is_parameter(self): return is_parameter in self.flags def is_state_or_parameter(self): return (is_state in self.flags) or (is_parameter in self.flags) def is_kind(self, kind): return eval('self.is_%s()' % kind) def is_real(self): return self.dtype in real_types def is_complex(self): return self.dtype in complex_types def is_finite(self, step=0, derivative=None, dt=None): return nm.isfinite(self(step=step, derivative=derivative, dt=dt)).all() def get_primary_name(self): if self.is_state(): name = self.name else: name = self.primary_var_name return name def init_history(self): """Initialize data of variables with history.""" if self.history is None: return self.data = deque((self.history + 1) * [None]) self.step = 0 def time_update(self, ts, functions): """Implemented in subclasses.""" pass def advance(self, ts): """ Advance in time the DOF state history. A copy of the DOF vector is made to prevent history modification. """ if self.history is None: return self.step = ts.step + 1 self.data.rotate() if self.history > 0: # Advance evaluate cache. for step_cache in self.evaluate_cache.itervalues(): steps = sorted(step_cache.keys()) for step in steps: if step is None: # Special caches with possible custom advance() # function. for key, val in step_cache[step].iteritems(): if hasattr(val, '__advance__'): val.__advance__(ts, val) elif -step < self.history: step_cache[step-1] = step_cache[step] if len(steps) and (steps[0] is not None): step_cache.pop(steps[-1]) def init_data(self, step=0): """ Initialize the dof vector data of time step `step` to zeros. """ if self.is_state_or_parameter(): data = nm.zeros((self.n_dof,), dtype=self.dtype) self.set_data(data, step=step) def set_constant(self, val): """ Set the variable to a constant value. """ data = nm.empty((self.n_dof,), dtype=self.dtype) data.fill(val) self.set_data(data) def set_data(self, data=None, indx=None, step=0, preserve_caches=False): """ Set data (vector of DOF values) of the variable. Parameters ---------- data : array The vector of DOF values. indx : int, optional If given, `data[indx]` is used. step : int, optional The time history step, 0 (default) = current. preserve_caches : bool If True, do not invalidate evaluate caches of the variable. """ data = data.ravel() if indx is None: indx = slice(0, len(data)) else: indx = slice(int(indx.start), int(indx.stop)) n_data_dof = indx.stop - indx.start if self.n_dof != n_data_dof: msg = 'incompatible data shape! (%d (variable) == %d (data))' \ % (self.n_dof, n_data_dof) raise ValueError(msg) else: self.data[step] = data self.indx = indx if not preserve_caches: self.invalidate_evaluate_cache(step=step) def __call__(self, step=0, derivative=None, dt=None): """ Return vector of degrees of freedom of the variable. Parameters ---------- step : int, default 0 The time step (0 means current, -1 previous, ...). derivative : None or 'dt' If not None, return time derivative of the DOF vector, approximated by the backward finite difference. Returns ------- vec : array The DOF vector. If `derivative` is None: a view of the data vector, otherwise: required derivative of the DOF vector at time step given by `step`. Notes ----- If the previous time step is requested in step 0, the step 0 DOF vector is returned instead. """ if derivative is None: if (self.step == 0) and (step == -1): data = self.data[0] else: data = self.data[-step] if data is None: raise ValueError('data of variable are not set! (%s, step %d)' \ % (self.name, step)) return data[self.indx] else: if self.history is None: msg = 'set history type of variable %s to use derivatives!'\ % self.name raise ValueError(msg) dt = get_default(dt, self.dt) return (self(step=step) - self(step=step-1)) / dt def get_initial_condition(self): if self.initial_condition is None: return 0.0 else: return self.initial_condition class CloseNodesIterator(Struct): def __init__(self, field, create_mesh=True, create_graph=True, strategy=None): self.field = field self.coors = self.field.get_coor() if create_mesh or create_graph: self.mesh = self.field.create_mesh() if create_graph: self.graph = self.mesh.create_conn_graph() self.perm = self.get_permutation(strategy=strategy) self.strategy = strategy else: self.graph = None self.strategy = None def __call__(self, strategy=None): if strategy is None or (strategy != self.strategy): self.perm = self.get_permutation(strategy=strategy) self.strategy = strategy self.ii = 0 return self def get_permutation(self, strategy=None): graph = self.graph n_nod = self.coors.shape[0] dtype = nm.int32 if strategy is None: perm = nm.arange(n_nod, dtype=dtype) elif strategy == 'rcm': from sfepy.linalg import rcm perm = rcm(graph) elif 'greedy' in strategy: ipop, iin = {'00' : (0, 0), 'e0' : (-1, 0), '0e' : (0, -1), 'ee' : (-1, -1), '01' : (0, 1), }[strategy[-2:]] perm_i = nm.empty((n_nod,), dtype=dtype) perm_i.fill(-1) n_nod = perm_i.shape[0] num = graph.indptr[1:] - graph.indptr[:-1] ir = nm.argmin(num) perm_i[ir] = 0 active = [ir] ii = 1 while ii < n_nod: ir = active.pop(ipop) row = graph.indices[graph.indptr[ir]:graph.indptr[ir+1]] ips = [] for ip in row: if perm_i[ip] < 0: perm_i[ip] = ii ii += 1 ips.append(ip) if iin >= 0: active[iin:iin] = ips else: active.extend(ips) perm = nm.empty_like(perm_i) perm[perm_i] = nm.arange(perm_i.shape[0], dtype=perm.dtype) return perm def test_permutations(self, strategy='rcm'): from sfepy.linalg import permute_in_place, save_sparse_txt save_sparse_txt('graph', self.graph, fmt='%d %d %d\n') graph = self.graph.copy() perm = self.get_permutation('rcm') g_types = ['00', 'e0', '0e', 'ee', '01'] g_names = ['greedy_%s' % ii for ii in g_types] g_perms = [self.get_permutation('greedy_%s' % ii) for ii in g_types] c1 = self.mesh.coors d1 = la.norm_l2_along_axis(c1[1:] - c1[:-1]) d2 = la.norm_l2_along_axis(c1[perm][1:] - c1[perm][:-1]) print d1.min(), d1.mean(), d1.max(), d1.std(), d1.var() print d2.min(), d2.mean(), d2.max(), d2.std(), d2.var() ds = [] for g_perm in g_perms: d3 = la.norm_l2_along_axis(c1[g_perm][1:] - c1[g_perm][:-1]) ds.append(d3) print d3.min(), d3.mean(), d3.max(), d3.std(), d3.var() permute_in_place(graph, perm) save_sparse_txt('graph_rcm', graph, fmt='%d %d %d\n') for ii, g_name in enumerate(g_names): graph = self.graph.copy() permute_in_place(graph, g_perms[ii]) save_sparse_txt('graph_%s' % g_name, graph, fmt='%d %d %d\n') from matplotlib import pyplot as plt n_bins = 30 plt.figure() plt.subplot(311) _, bins, ps = plt.hist(d1, n_bins, histtype='bar') plt.legend(ps[0:1], ['default']) plt.subplot(312) plt.hist(d2, bins, histtype='bar') plt.legend(ps[0:1], ['RCM']) plt.subplot(313) _, _, ps = plt.hist(nm.array(ds).T, bins, histtype='bar') plt.legend([ii[0] for ii in ps], g_names) plt.savefig('hist_distances_sub.pdf', transparent=True) plt.figure() _, _, ps = plt.hist(nm.array([d1, d2] + ds).T, n_bins, histtype='bar') plt.legend([ii[0] for ii in ps], ['default', 'RCM'] + g_names) plt.savefig('hist_distances.pdf', transparent=True) plt.show() def __iter__(self): return self def next(self): try: ii = self.perm[self.ii] val = self.coors[ii] except IndexError: raise StopIteration self.ii += 1 return ii, val class FieldVariable(Variable): """ A finite element field variable. field .. field description of variable (borrowed) """ def __init__(self, name, kind, field, order=None, primary_var_name=None, special=None, flags=None, **kwargs): Variable.__init__(self, name, kind, order, primary_var_name, special, flags, **kwargs) self._set_field(field) self.has_field = True self.has_bc = True self._variables = None self.clear_bases() self.clear_current_group() self.clear_evaluate_cache() def _set_field(self, field): """ Set field of the variable. Takes reference to a Field instance. Sets dtype according to field.dtype. Sets `dim` attribute to spatial dimension. """ self.is_surface = field.is_surface self.field = field self._setup_dofs(field.n_nod, field.n_components, field.val_shape) self.flags.add(is_field) self.dtype = field.dtype self.dim = field.domain.shape.dim def get_field(self): return self.field def get_mapping(self, ig, region, integral, integration, get_saved=False, return_key=False): """ Get the reference element mapping of the underlying field. See Also -------- sfepy.discrete.fem.fields.Field.get_mapping() """ if region is None: region = self.field.region out = self.field.get_mapping(ig, region, integral, integration, get_saved=get_saved, return_key=return_key) return out def get_dof_conn(self, dc_type, ig, is_trace=False): """ Get active dof connectivity of a variable. Notes ----- The primary and dual variables must have the same Region. """ if self.is_virtual(): var_name = self.get_primary().name else: var_name = self.name if not is_trace: region_name = dc_type.region_name aig = ig else: aux = self.field.domain.regions[dc_type.region_name] region, _, ig_map = aux.get_mirror_region() region_name = region.name aig = ig_map[ig] key = (var_name, region_name, dc_type.type, aig, is_trace) dc = self.adof_conns[key] return dc def get_dof_info(self, active=False): details = Struct(name='field_var_dof_details', n_nod=self.n_nod, dpn=self.n_components) if active: n_dof = self.n_adof else: n_dof = self.n_dof return n_dof, details def time_update(self, ts, functions): """ Store time step, set variable data for variables with the setter function. """ if ts is not None: self.dt = ts.dt if hasattr(self, 'special') and ('setter' in self.special): setter_name = self.special['setter'] setter = functions[setter_name] region = self.field.region nod_list = self.field.get_dofs_in_region(region, clean=True) nods = nm.unique(nm.hstack(nod_list)) coor = self.field.get_coor(nods) self.set_data(setter(ts, coor, region=region)) output('data of %s set by %s()' % (self.name, setter_name)) def set_data_from_qp(self, data_qp, integral, step=0): """ Set DOFs of variable using values in quadrature points corresponding to the given integral. """ data_vertex = self.field.average_qp_to_vertices(data_qp, integral) # Field nodes values. data = self.field.interp_v_vals_to_n_vals(data_vertex) data = data.squeeze() self.indx = slice(0, len(data)) self.data[step] = data def equation_mapping(self, bcs, var_di, ts, functions, problem=None, warn=False): """ Create the mapping of active DOFs from/to all DOFs. Sets n_adof. Returns ------- active_bcs : set The set of boundary conditions active in the current time. """ self.eq_map = EquationMap('eq_map', self.dofs, var_di) if bcs is not None: bcs.canonize_dof_names(self.dofs) bcs.sort() active_bcs = self.eq_map.map_equations(bcs, self.field, ts, functions, problem=problem, warn=warn) self.n_adof = self.eq_map.n_eq return active_bcs def setup_initial_conditions(self, ics, di, functions, warn=False): """ Setup of initial conditions. """ ics.canonize_dof_names(self.dofs) ics.sort() for ic in ics: region = ic.region dofs, val = ic.dofs if warn: clean_msg = ('warning: ignoring nonexistent' \ ' IC node (%s) in ' % self.name) else: clean_msg = None nod_list = self.field.get_dofs_in_region(region, clean=True, warn=clean_msg) if len(nod_list) == 0: continue fun = get_condition_value(val, functions, 'IC', ic.name) if isinstance(fun, Function): aux = fun fun = lambda coors: aux(coors, ic=ic) nods, vv = self.field.set_dofs(fun, region, len(dofs), clean_msg) eq = expand_nodes_to_equations(nods, dofs, self.dofs) ic_vec = nm.zeros((di.n_dof[self.name],), dtype=self.dtype) ic_vec[eq] = vv self.initial_condition = ic_vec def get_approximation(self, ig): return self.field.aps[ig] def get_data_shape(self, ig, integral, integration='volume', region_name=None): """ Get element data dimensions for given approximation. Parameters ---------- ig : int The element group index. integral : Integral instance The integral describing used numerical quadrature. integration : 'volume', 'plate', 'surface', 'surface_extra' or 'point' The term integration type. region_name : str The name of surface region, required when `shape_kind` is 'surface'. Returns ------- data_shape : 5 ints The `(n_el, n_qp, dim, n_en, n_comp)` for volume shape kind, `(n_fa, n_qp, dim, n_fn, n_comp)` for surface shape kind and `(n_nod, 0, 0, 1, n_comp)` for point shape kind. Notes ----- - `n_el`, `n_fa` = number of elements/facets - `n_qp` = number of quadrature points per element/facet - `dim` = spatial dimension - `n_en`, `n_fn` = number of element/facet nodes - `n_comp` = number of variable components in a point/node - `n_nod` = number of element nodes """ aux = self.field.get_data_shape(ig, integral, integration=integration, region_name=region_name) data_shape = aux + (self.n_components,) return data_shape def clear_bases(self): """ Clear base functions, base function gradients and element data dimensions. """ self.bfs = {} self.bfgs = {} self.data_shapes = {} def setup_bases(self, geo_key, ig, geo, integral, shape_kind='volume'): """ Setup and cache base functions and base function gradients for given geometry. Also cache element data dimensions. """ if geo_key not in self.bfs: ap = self.field.aps[ig] region_name = geo_key[0] self.data_shapes[geo_key] = self.get_data_shape(ig, integral, shape_kind, region_name) if shape_kind == 'surface': sd = ap.surface_data[region_name] key = sd.face_type elif shape_kind == 'volume': key = 'v' ebf = ap.get_base(key, 0, integral) bf = la.insert_strided_axis(ebf, 0, ap.econn.shape[0]) self.bfs[geo_key] = bf self.bfgs[geo_key] = geo.bfg def clear_current_group(self): """ Clear current group data. """ self._ap = None self._data_shape = None self._bf = self._bfg = None def set_current_group(self, geo_key, ig): """ Set current group data, initialize current DOF counter to `None`. The current group data are the approximation, element data dimensions, base functions and base function gradients. """ self._ap = self.field.aps[ig] self._data_shape = self.data_shapes[geo_key] self._bf = self.bfs[geo_key] self._bfg = self.bfgs[geo_key] self._idof = None self._inod = None self._ic = None def val(self, ic=None): """ Return base function values in quadrature points. Parameters ---------- ic : int, optional The index of variable component. """ if self._inod is None: # Evaluation mode. out = self.val_qp(ic=ic) else: out = self._bf[..., self._inod : self._inod + 1] return out def val_qp(self, ic=None): """ Return variable evaluated in quadrature points. Parameters ---------- ic : int, optional The index of variable component. """ vec = self()[ic::self.n_components] evec = vec[self._ap.econn] aux = la.insert_strided_axis(evec, 1, self._bf.shape[1])[..., None] out = la.dot_sequences(aux, self._bf, 'ATBT') return out def grad(self, ic=None, ider=None): """ Return base function gradient (space elements) values in quadrature points. Parameters ---------- ic : int, optional The index of variable component. ider : int, optional The spatial derivative index. If not given, the whole gradient is returned. """ if ider is None: iders = slice(None) else: iders = slice(ider, ider + 1) if self._inod is None: out = self.grad_qp(ic=ic, ider=ider) else: out = self._bfg[..., iders, self._inod : self._inod + 1] return out def grad_qp(self, ic=None, ider=None): """ Return variable gradient evaluated in quadrature points. Parameters ---------- ic : int, optional The index of variable component. ider : int, optional The spatial derivative index. If not given, the whole gradient is returned. """ if ider is None: iders = slice(None) else: iders = slice(ider, ider + 1) vec = self()[ic::self.n_components] evec = vec[self._ap.econn] aux = la.insert_strided_axis(evec, 1, self._bfg.shape[1])[..., None] out = la.dot_sequences(self._bfg[:, :, iders, :], aux) return out def iter_dofs(self): """ Iterate over element DOFs (DOF by DOF). """ n_en, n_c = self._data_shape[3:] for ii in xrange(n_en): self._inod = ii for ic in xrange(n_c): self._ic = ic self._idof = n_en * ic + ii yield self._idof def get_element_zeros(self): """ Return array of zeros with correct shape and type for term evaluation. """ n_el, n_qp = self._data_shape[:2] return nm.zeros((n_el, n_qp, 1, 1), dtype=self.dtype) def get_component_indices(self): """ Return indices of variable components according to current term evaluation mode. Returns ------- indx : list of tuples The list of `(ii, slice(ii, ii + 1))` of the variable components. The first item is the index itself, the second item is a convenience slice to index components of material parameters. """ if self._ic is None: indx = [(ii, slice(ii, ii + 1)) for ii in range(self.n_components)] else: indx = [(ii, slice(ii, ii + 1)) for ii in [self._ic]] return indx def clear_evaluate_cache(self): """ Clear current evaluate cache. """ self.evaluate_cache = {} def invalidate_evaluate_cache(self, step=0): """ Invalidate variable data in evaluate cache for time step given by `step` (0 is current, -1 previous, ...). This should be done, for example, prior to every nonlinear solver iteration. """ for step_cache in self.evaluate_cache.itervalues(): for key in step_cache.keys(): if key == step: # Given time step to clear. step_cache.pop(key) def evaluate(self, ig, mode='val', region=None, integral=None, integration=None, step=0, time_derivative=None, is_trace=False, dt=None, bf=None): """ Evaluate various quantities related to the variable according to `mode` in quadrature points defined by `integral`. The evaluated data are cached in the variable instance in `evaluate_cache` attribute. Parameters ---------- ig : int The element group index. mode : one of 'val', 'grad', 'div', 'cauchy_strain' The evaluation mode. region : Region instance, optional The region where the evaluation occurs. If None, the underlying field region is used. integral : Integral instance, optional The integral defining quadrature points in which the evaluation occurs. If None, the first order volume integral is created. Must not be None for surface integrations. integration : one of 'volume', 'plate', 'surface', 'surface_extra' The term integration type. If None, it is derived from `integral`. step : int, default 0 The time step (0 means current, -1 previous, ...). derivative : None or 'dt' If not None, return time derivative of the data, approximated by the backward finite difference. is_trace : bool, default False Indicate evaluation of trace of the variable on a boundary region. dt : float, optional The time step to be used if `derivative` is `'dt'`. If None, the `dt` attribute of the variable is used. bf : Base function, optional The base function to be used in 'val' mode. Returns ------- out : array The 4-dimensional array of shape `(n_el, n_qp, n_row, n_col)` with the requested data, where `n_row`, `n_col` depend on `mode`. """ step_cache = self.evaluate_cache.setdefault(mode, {}) cache = step_cache.setdefault(step, {}) field = self.field if region is None: region = field.region if is_trace: region, ig_map, ig_map_i = region.get_mirror_region() ig = ig_map_i[ig] if region is not field.region: assert_(field.region.contains(region)) if integral is None: integral = Integral('aux_1', 1) if integration is None: integration = 'volume' if region.can_cells else 'surface' geo, _, key = field.get_mapping(ig, region, integral, integration, return_key=True) key += (time_derivative, is_trace) if key in cache: out = cache[key] else: vec = self(step=step, derivative=time_derivative, dt=dt) ct = integration if integration == 'surface_extra': ct = 'volume' conn = field.get_econn(ct, region, ig, is_trace, integration) shape = self.get_data_shape(ig, integral, integration, region.name) if self.dtype == nm.float64: out = eval_real(vec, conn, geo, mode, shape, bf) else: out = eval_complex(vec, conn, geo, mode, shape, bf) cache[key] = out return out def get_state_in_region(self, region, igs=None, reshape=True, step=0): nods = self.field.get_dofs_in_region(region, merge=True, igs=igs) eq = nm.empty((len(nods) * self.n_components,), dtype=nm.int32) for idof in range(self.n_components): eq[idof::self.n_components] = self.n_components * nods \ + idof + self.indx.start out = self.data[step][eq] if reshape: out.shape = (len(nods), self.n_components) return out def apply_ebc(self, vec, offset=0, force_values=None): """ Apply essential (Dirichlet) and periodic boundary conditions to vector `vec`, starting at `offset`. """ eq_map = self.eq_map ii = offset + eq_map.eq_ebc # EBC, if force_values is None: vec[ii] = eq_map.val_ebc else: if isinstance(force_values, dict): vec[ii] = force_values[self.name] else: vec[ii] = force_values # EPBC. vec[offset+eq_map.master] = vec[offset+eq_map.slave] def apply_ic(self, vec, offset=0, force_values=None): """ Apply initial conditions conditions to vector `vec`, starting at `offset`. """ ii = slice(offset, offset + self.n_dof) if force_values is None: vec[ii] = self.get_initial_condition() else: if isinstance(force_values, dict): vec[ii] = force_values[self.name] else: vec[ii] = force_values def get_reduced(self, vec, offset=0, follow_epbc=False): """ Get the reduced DOF vector, with EBC and PBC DOFs removed. Notes ----- The full vector starts in `vec` at `offset`. If 'follow_epbc' is True, values of EPBC master DOFs are not simply thrown away, but added to the corresponding slave DOFs, just like when assembling. For vectors with state (unknown) variables it should be set to False, for assembled vectors it should be set to True. """ eq_map = self.eq_map ii = offset + eq_map.eqi r_vec = vec[ii] if follow_epbc: master = offset + eq_map.master slave = eq_map.eq[eq_map.slave] ii = slave >= 0 la.assemble1d(r_vec, slave[ii], vec[master[ii]]) return r_vec def get_full(self, r_vec, r_offset=0, force_value=None, vec=None, offset=0): """ Get the full DOF vector satisfying E(P)BCs from a reduced DOF vector. Notes ----- The reduced vector starts in `r_vec` at `r_offset`. Passing a `force_value` overrides the EBC values. Optionally, `vec` argument can be provided to store the full vector (in place) starting at `offset`. """ if vec is None: vec = nm.empty(self.n_dof, dtype=r_vec.dtype) else: vec = vec[offset:offset+self.n_dof] eq_map = self.eq_map r_vec = r_vec[r_offset:r_offset+eq_map.n_eq] # EBC. vec[eq_map.eq_ebc] = get_default(force_value, eq_map.val_ebc) # Reduced vector values. vec[eq_map.eqi] = r_vec # EPBC. vec[eq_map.master] = vec[eq_map.slave] return vec def create_output(self, vec=None, key=None, extend=True, fill_value=None, linearization=None): """ Convert the DOF vector to a dictionary of output data usable by Mesh.write(). Parameters ---------- vec : array, optional An alternative DOF vector to be used instead of the variable DOF vector. key : str, optional The key to be used in the output dictionary instead of the variable name. extend : bool Extend the DOF values to cover the whole domain. fill_value : float or complex The value used to fill the missing DOF values if `extend` is True. linearization : Struct or None The linearization configuration for higher order approximations. """ linearization = get_default(linearization, Struct(kind='strip')) if vec is None: vec = self() key = get_default(key, self.name) aux = nm.reshape(vec, (self.n_dof / self.n_components, self.n_components)) out = self.field.create_output(aux, self.name, dof_names=self.dofs, key=key, extend=extend, fill_value=fill_value, linearization=linearization) return out def get_element_diameters(self, cells, mode, square=False): """Get diameters of selected elements.""" field = self.field domain = field.domain cells = nm.array(cells) diameters = nm.empty((cells.shape[0],), dtype=nm.float64) integral = Integral('i_tmp', 1) igs = nm.unique(cells[:,0]) for ig in igs: ap = field.aps[ig] vg = ap.describe_geometry(field, 'volume', field.region, integral) ii = nm.where(cells[:,0] == ig)[0] aux = domain.get_element_diameters(ig, cells[ii,1].copy(), vg, mode, square=square) diameters[ii] = aux return diameters def save_as_mesh(self, filename): """ Save the field mesh and the variable values into a file for visualization. Only the vertex values are stored. """ mesh = self.field.create_mesh(extra_nodes=False) vec = self() n_nod, n_dof, dpn = mesh.n_nod, self.n_dof, self.n_components aux = nm.reshape(vec, (n_dof / dpn, dpn)) ext = self.field.extend_dofs(aux, 0.0) out = {} if self.field.approx_order != 0: out[self.name] = Struct(name='output_data', mode='vertex', data=ext, var_name=self.name, dofs=self.dofs) else: ext.shape = (ext.shape[0], 1, ext.shape[1], 1) out[self.name] = Struct(name='output_data', mode='cell', data=ext, var_name=self.name, dofs=self.dofs) mesh.write(filename, io='auto', out=out) def set_from_mesh_vertices(self, data): """ Set the variable using values at the mesh vertices. """ ndata = self.field.interp_v_vals_to_n_vals(data) self.set_data(ndata) def has_same_mesh(self, other): """ Returns ------- flag : int The flag can be either 'different' (different meshes), 'deformed' (slightly deformed same mesh), or 'same' (same). """ f1 = self.field f2 = other.field c1 = f1.get_coor() c2 = f2.get_coor() if c1.shape != c2.shape: flag = 'different' else: eps = 10.0 * nm.finfo(nm.float64).eps if nm.allclose(c1, c2, rtol=eps, atol=0.0): flag = 'same' elif nm.allclose(c1, c2, rtol=0.1, atol=0.0): flag = 'deformed' else: flag = 'different' return flag def get_interp_coors(self, strategy='interpolation', interp_term=None): """ Get the physical coordinates to interpolate into, based on the strategy used. """ if strategy == 'interpolation': coors = self.field.get_coor() elif strategy == 'projection': region = self.field.region integral = Integral(term=interp_term) coors = get_physical_qps(region, integral) else: raise ValueError('unknown interpolation strategy! (%s)' % strategy) return coors def evaluate_at(self, coors, strategy='kdtree', close_limit=0.1, cache=None, ret_cells=False, ret_status=False, ret_ref_coors=False, verbose=True): """ Evaluate the variable in the given physical coordinates. Convenience wrapper around :func:`Field.evaluate_at() `, see its docstring for more details. """ source_vals = self().reshape((self.n_nod, self.n_components)) out = self.field.evaluate_at(coors, source_vals, strategy=strategy, close_limit=close_limit, cache=cache, ret_cells=ret_cells, ret_status=ret_status, ret_ref_coors=ret_ref_coors, verbose=verbose) return out def set_from_other(self, other, strategy='projection', search_strategy='kdtree', ordering_strategy='rcm', close_limit=0.1): """ Set the variable using another variable. Undefined values (e.g. outside the other mesh) are set to numpy.nan, or extrapolated. Parameters ---------- strategy : 'projection' or 'interpolation' The strategy to set the values: the L^2 orthogonal projection, or a direct interpolation to the nodes (nodal elements only!) Notes ----- If the other variable uses the same field mesh, the coefficients are set directly. If the other variable uses the same field mesh, only deformed slightly, it is advisable to provide directly the node ids as a hint where to start searching for a containing element; the order of nodes does not matter then. Otherwise (large deformation, unrelated meshes, ...) there are basically two ways: a) query each node (its coordinates) using a KDTree of the other nodes - this completely disregards the connectivity information; b) iterate the mesh nodes so that the subsequent ones are close to each other - then also the elements of the other mesh should be close to each other: the previous one can be used as a start for the directional neighbour element crawling to the target point. Not sure which way is faster, depends on implementation efficiency and the particular meshes. """ flag_same_mesh = self.has_same_mesh(other) if flag_same_mesh == 'same': self.set_data(other()) return if strategy == 'interpolation': coors = self.get_interp_coors(strategy) elif strategy == 'projection': ## interp_term = Term() # TODO ## coors = self.get_interp_coors(strategy, interp_term) pass else: raise ValueError('unknown interpolation strategy! (%s)' % strategy) if search_strategy == 'kdtree': tt = time.clock() iter_nodes = CloseNodesIterator(self.field, create_graph=False) output('iterator: %f s' % (time.clock()-tt)) elif search_strategy == 'crawl': tt = time.clock() iter_nodes = CloseNodesIterator(self.field, strategy='rcm') output('iterator: %f s' % (time.clock()-tt)) iter_nodes.test_permutations() else: raise ValueError('unknown search strategy! (%s)' % search_strategy) perm = iter_nodes.get_permutation(iter_nodes.strategy) vals = other.evaluate_at(coors[perm], strategy=search_strategy, close_limit=close_limit) if strategy == 'interpolation': self.set_data(vals) elif strategy == 'projection': raise NotImplementedError('unsupported strategy! (%s)' % strategy) else: raise ValueError('unknown interpolation strategy! (%s)' % strategy) sfepy-release_2015.1/sfepy/homogenization/000077500000000000000000000000001247364230400206155ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/homogenization/__init__.py000066400000000000000000000000001247364230400227140ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/homogenization/band_gaps_app.py000066400000000000000000000461411247364230400237530ustar00rootroot00000000000000import os.path as op import shutil import numpy as nm from sfepy.base.base import output, set_defaults, assert_ from sfepy.base.base import Struct from sfepy.homogenization.engine import HomogenizationEngine from sfepy.homogenization.homogen_app import get_volume_from_options from sfepy.homogenization.homogen_app import HomogenizationApp from sfepy.homogenization.coefficients import Coefficients from sfepy.homogenization.coefs_base import CoefDummy from sfepy.applications import PDESolverApp from sfepy.base.plotutils import plt def try_set_defaults(obj, attr, defaults, recur=False): try: values = getattr(obj, attr) except: values = defaults else: if recur and isinstance(values, dict): for key, val in values.iteritems(): set_defaults(val, defaults) else: set_defaults(values, defaults) return values def transform_plot_data(datas, plot_transform, conf): if plot_transform is not None: fun = conf.get_function(plot_transform[0]) dmin, dmax = 1e+10, -1e+10 tdatas = [] for data in datas: tdata = data.copy() if plot_transform is not None: tdata = fun(tdata, *plot_transform[1:]) dmin = min(dmin, nm.nanmin(tdata)) dmax = max(dmax, nm.nanmax(tdata)) tdatas.append(tdata) dmin, dmax = min(dmax - 1e-8, dmin), max(dmin + 1e-8, dmax) return (dmin, dmax), tdatas def plot_eigs(fig_num, plot_rsc, plot_labels, valid, freq_range, plot_range, show=False, clear=False, new_axes=False): """ Plot resonance/eigen-frequencies. `valid` must correspond to `freq_range` resonances : red masked resonances: dotted red """ if plt is None: return assert_(len(valid) == len(freq_range)) fig = plt.figure(fig_num) if clear: fig.clf() if new_axes: ax = fig.add_subplot(111) else: ax = fig.gca() l0 = l1 = None for ii, f in enumerate(freq_range): if valid[ii]: l0 = ax.plot([f, f], plot_range, **plot_rsc['resonance'])[0] else: l1 = ax.plot([f, f], plot_range, **plot_rsc['masked'])[0] if l0: l0.set_label(plot_labels['resonance']) if l1: l1.set_label(plot_labels['masked']) if new_axes: ax.set_xlim([freq_range[0], freq_range[-1]]) ax.set_ylim(plot_range) if show: plt.show() return fig def plot_logs(fig_num, plot_rsc, plot_labels, freqs, logs, valid, freq_range, plot_range, draw_eigs=True, show_legend=True, show=False, clear=False, new_axes=False): """ Plot logs of min/middle/max eigs of a mass matrix. """ if plt is None: return fig = plt.figure(fig_num) if clear: fig.clf() if new_axes: ax = fig.add_subplot(111) else: ax = fig.gca() if draw_eigs: plot_eigs(fig_num, plot_rsc, plot_labels, valid, freq_range, plot_range) for ii, log in enumerate(logs): l1 = ax.plot(freqs[ii], log[:, -1], **plot_rsc['eig_max']) if log.shape[1] >= 2: l2 = ax.plot(freqs[ii], log[:, 0], **plot_rsc['eig_min']) else: l2 = None if log.shape[1] == 3: l3 = ax.plot(freqs[ii], log[:, 1], **plot_rsc['eig_mid']) else: l3 = None l1[0].set_label(plot_labels['eig_max']) if l2: l2[0].set_label(plot_labels['eig_min']) if l3: l3[0].set_label(plot_labels['eig_mid']) fmin, fmax = freqs[0][0], freqs[-1][-1] ax.plot([fmin, fmax], [0, 0], **plot_rsc['x_axis']) ax.set_xlabel(plot_labels['x_axis']) ax.set_ylabel(plot_labels['y_axis']) if new_axes: ax.set_xlim([fmin, fmax]) ax.set_ylim(plot_range) if show_legend: ax.legend() if show: plt.show() return fig def plot_gap(ax, ii, f0, f1, kind, kind_desc, gmin, gmax, plot_range, plot_rsc): """ Plot a single band gap as a rectangle. """ def draw_rect(ax, x, y, rsc): ax.fill(nm.asarray(x)[[0,1,1,0]], nm.asarray(y)[[0,0,1,1]], **rsc) # Colors. strong = plot_rsc['strong_gap'] weak = plot_rsc['weak_gap'] propagation = plot_rsc['propagation'] if kind == 'p': draw_rect(ax, (f0, f1), plot_range, propagation) info = [(f0, f1)] elif kind == 'w': draw_rect(ax, (f0, f1), plot_range, weak) info = [(f0, f1)] elif kind == 'wp': draw_rect(ax, (f0, gmin[1]), plot_range, weak) draw_rect(ax, (gmin[1], f1), plot_range, propagation) info = [(f0, gmin[1]), (gmin[1], f1)] elif kind == 's': draw_rect(ax, (f0, f1), plot_range, strong) info = [(f0, f1)] elif kind == 'sw': draw_rect(ax, (f0, gmax[1]), plot_range, strong) draw_rect(ax, (gmax[1], f1), plot_range, weak) info = [(f0, gmax[1]), (gmax[1], f1)] elif kind == 'swp': draw_rect(ax, (f0, gmax[1]), plot_range, strong) draw_rect(ax, (gmax[1], gmin[1]), plot_range, weak) draw_rect(ax, (gmin[1], f1), plot_range, propagation) info = [(f0, gmax[1]), (gmax[1], gmin[1]), (gmin[1], f1)] elif kind == 'is': draw_rect(ax, (gmin[1], gmax[1]), plot_range, strong) info = [(gmin[1], gmax[1])] elif kind == 'iw': draw_rect(ax, (gmin[1], gmax[1]), plot_range, weak) info = [(gmin[1], gmax[1])] else: output('impossible band gap combination:') output(gmin, gmax) raise ValueError output(ii, gmin[0], gmax[0], '%.8f' % f0, '%.8f' % f1) output(' -> %s\n %s' %(kind_desc, info)) def plot_gaps(fig_num, plot_rsc, gaps, kinds, freq_range, plot_range, show=False, clear=False, new_axes=False): """ Plot band gaps as rectangles. """ if plt is None: return fig = plt.figure(fig_num) if clear: fig.clf() if new_axes: ax = fig.add_subplot(111) else: ax = fig.gca() for ii in xrange(len(freq_range) - 1): f0, f1 = freq_range[[ii, ii+1]] gap = gaps[ii] if isinstance(gap, list): for ig, (gmin, gmax) in enumerate(gap): kind, kind_desc = kinds[ii][ig] plot_gap(ax, ii, f0, f1, kind, kind_desc, gmin, gmax, plot_range, plot_rsc) else: gmin, gmax = gap kind, kind_desc = kinds[ii] plot_gap(ax, ii, f0, f1, kind, kind_desc, gmin, gmax, plot_range, plot_rsc) if new_axes: ax.set_xlim([freq_range[0], freq_range[-1]]) ax.set_ylim(plot_range) if show: plt.show() return fig def _get_fig_name(output_dir, fig_name, key, common, fig_suffix): """ Construct the complete name of figure file. """ name = key.replace(common, '') if name and (not name.startswith('_')): name = '_' + name fig_name = fig_name + name + fig_suffix return op.join(output_dir, fig_name) class AcousticBandGapsApp(HomogenizationApp): """ Application for computing acoustic band gaps. """ @staticmethod def process_options(options): """ Application options setup. Sets default values for missing non-compulsory options. """ get = options.get default_plot_options = {'show' : True,'legend' : False,} aux = { 'resonance' : 'eigenfrequencies', 'masked' : 'masked eigenfrequencies', 'eig_min' : r'min eig($M^*$)', 'eig_mid' : r'mid eig($M^*$)', 'eig_max' : r'max eig($M^*$)', 'x_axis' : r'$\sqrt{\lambda}$, $\omega$', 'y_axis' : r'eigenvalues of mass matrix $M^*$', } plot_labels = try_set_defaults(options, 'plot_labels', aux, recur=True) aux = { 'resonance' : 'eigenfrequencies', 'masked' : 'masked eigenfrequencies', 'eig_min' : r'$\kappa$(min)', 'eig_mid' : r'$\kappa$(mid)', 'eig_max' : r'$\kappa$(max)', 'x_axis' : r'$\sqrt{\lambda}$, $\omega$', 'y_axis' : 'polarization angles', } plot_labels_angle = try_set_defaults(options, 'plot_labels_angle', aux) aux = { 'resonance' : 'eigenfrequencies', 'masked' : 'masked eigenfrequencies', 'eig_min' : r'wave number (min)', 'eig_mid' : r'wave number (mid)', 'eig_max' : r'wave number (max)', 'x_axis' : r'$\sqrt{\lambda}$, $\omega$', 'y_axis' : 'wave numbers', } plot_labels_wave = try_set_defaults(options, 'plot_labels_wave', aux) plot_rsc = { 'resonance' : {'linewidth' : 0.5, 'color' : 'r', 'linestyle' : '-'}, 'masked' : {'linewidth' : 0.5, 'color' : 'r', 'linestyle' : ':'}, 'x_axis' : {'linewidth' : 0.5, 'color' : 'k', 'linestyle' : '--'}, 'eig_min' : {'linewidth' : 2.0, 'color' : (0.0, 0.0, 1.0), 'linestyle' : ':' }, 'eig_mid' : {'linewidth' : 2.0, 'color' : (0.0, 0.0, 0.8), 'linestyle' : '--' }, 'eig_max' : {'linewidth' : 2.0, 'color' : (0.0, 0.0, 0.6), 'linestyle' : '-' }, 'strong_gap' : {'linewidth' : 0, 'facecolor' : (0.2, 0.4, 0.2)}, 'weak_gap' : {'linewidth' : 0, 'facecolor' : (0.6, 0.8, 0.6)}, 'propagation' : {'linewidth' : 0, 'facecolor' : (1, 1, 1)}, 'params' : {'axes.labelsize': 'x-large', 'text.fontsize': 'large', 'legend.fontsize': 'large', 'legend.loc': 0, 'xtick.labelsize': 'large', 'ytick.labelsize': 'large', 'text.usetex': True}, } plot_rsc = try_set_defaults(options, 'plot_rsc', plot_rsc) return Struct(incident_wave_dir=get('incident_wave_dir', None), plot_transform=get('plot_transform', None), plot_transform_wave=get('plot_transform_wave', None), plot_transform_angle=get('plot_transform_angle', None), plot_options=get('plot_options', default_plot_options), fig_name=get('fig_name', None), fig_name_wave=get('fig_name_wave', None), fig_name_angle=get('fig_name_angle', None), fig_suffix=get('fig_suffix', '.pdf'), plot_labels=plot_labels, plot_labels_angle=plot_labels_angle, plot_labels_wave=plot_labels_wave, plot_rsc=plot_rsc) @staticmethod def process_options_pv(options): """ Application options setup for phase velocity computation. Sets default values for missing non-compulsory options. """ get = options.get incident_wave_dir=get('incident_wave_dir', None, 'missing "incident_wave_dir" in options!') return Struct(incident_wave_dir=incident_wave_dir) def __init__(self, conf, options, output_prefix, **kwargs): PDESolverApp.__init__(self, conf, options, output_prefix, init_equations=False) self.setup_options() output_dir = self.problem.output_dir shutil.copyfile(conf._filename, op.join(output_dir, op.basename(conf._filename))) def setup_options(self): HomogenizationApp.setup_options(self) if self.options.phase_velocity: process_options = AcousticBandGapsApp.process_options_pv else: process_options = AcousticBandGapsApp.process_options self.app_options += process_options(self.conf.options) def call(self): """ Construct and call the homogenization engine accoring to options. """ options = self.options opts = self.app_options conf = self.problem.conf coefs_name = opts.coefs coef_info = conf.get(opts.coefs, None, 'missing "%s" in problem description!' % opts.coefs) if options.detect_band_gaps: # Compute band gaps coefficients and data. keys = [key for key in coef_info if key.startswith('band_gaps')] elif options.analyze_dispersion or options.phase_velocity: # Insert incident wave direction to coefficients that need it. for key, val in coef_info.iteritems(): coef_opts = val.get('options', None) if coef_opts is None: continue if (('incident_wave_dir' in coef_opts) and (coef_opts['incident_wave_dir'] is None)): coef_opts['incident_wave_dir'] = opts.incident_wave_dir if options.analyze_dispersion: # Compute dispersion coefficients and data. keys = [key for key in coef_info if key.startswith('dispersion') or key.startswith('polarization_angles')] else: # Compute phase velocity and its requirements. keys = [key for key in coef_info if key.startswith('phase_velocity')] else: # Compute only the eigenvalue problems. names = [req for req in conf.get(opts.requirements, ['']) if req.startswith('evp')] coefs = {'dummy' : {'requires' : names, 'class' : CoefDummy,}} conf.coefs_dummy = coefs coefs_name = 'coefs_dummy' keys = ['dummy'] he_options = Struct(coefs=coefs_name, requirements=opts.requirements, compute_only=keys, post_process_hook=self.post_process_hook) volume = get_volume_from_options(opts, self.problem) he = HomogenizationEngine(self.problem, options, app_options=he_options, volume=volume) coefs = he() coefs = Coefficients(**coefs.to_dict()) coefs.volume = volume coefs_filename = op.join(opts.output_dir, opts.coefs_filename) coefs.to_file_txt(coefs_filename + '.txt', opts.tex_names, opts.float_format) bg_keys = [key for key in coefs.to_dict() if key.startswith('band_gaps') or key.startswith('dispersion')] for ii, key in enumerate(bg_keys): bg = coefs.get(key) log_save_name = bg.get('log_save_name', None) if log_save_name is not None: filename = op.join(self.problem.output_dir, log_save_name) bg.save_log(filename, opts.float_format, bg) if options.plot: if options.detect_band_gaps: self.plot_band_gaps(coefs) elif options.analyze_dispersion: self.plot_dispersion(coefs) elif options.phase_velocity: keys = [key for key in coefs.to_dict() if key.startswith('phase_velocity')] for key in keys: output('%s:' % key, coefs.get(key)) return coefs def plot_band_gaps(self, coefs): opts = self.app_options bg_keys = [key for key in coefs.to_dict() if key.startswith('band_gaps')] plot_opts = opts.plot_options plot_rsc = opts.plot_rsc plt.rcParams.update(plot_rsc['params']) for ii, key in enumerate(bg_keys): bg = coefs.get(key) plot_labels = opts.plot_labels.get(key, opts.plot_labels) plot_range, teigs = transform_plot_data(bg.logs.eigs, opts.plot_transform, self.conf) fig = plot_gaps(ii, plot_rsc, bg.gaps, bg.kinds, bg.freq_range_margins, plot_range, clear=True) fig = plot_logs(ii, plot_rsc, plot_labels, bg.logs.freqs, teigs, bg.valid[bg.eig_range], bg.freq_range_initial, plot_range, show_legend=plot_opts['legend'], new_axes=True) if opts.fig_name is not None: fig_name = _get_fig_name(self.problem.output_dir, opts.fig_name, key, 'band_gaps', opts.fig_suffix) fig.savefig(fig_name) if plot_opts['show']: plt.show() def plot_dispersion(self, coefs): opts = self.app_options bg_keys = [key for key in coefs.to_dict() if key.startswith('dispersion')] plot_rsc = opts.plot_rsc plot_opts = opts.plot_options plt.rcParams.update(plot_rsc['params']) plot_labels = opts.plot_labels_angle for ii, key in enumerate(bg_keys): pas_key = key.replace('dispersion', 'polarization_angles') pas = coefs.get(pas_key) aux = transform_plot_data(pas, opts.plot_transform_angle, self.conf) plot_range, pas = aux bg = coefs.get(key) fig = plot_gaps(1, plot_rsc, bg.gaps, bg.kinds, bg.freq_range_margins, plot_range, clear=True) fig = plot_logs(1, plot_rsc, plot_labels, bg.logs.freqs, pas, bg.valid[bg.eig_range], bg.freq_range_initial, plot_range, show_legend=plot_opts['legend'], new_axes=True) fig_name = opts.fig_name_angle if fig_name is not None: fig_name = _get_fig_name(self.problem.output_dir, fig_name, key, 'dispersion', opts.fig_suffix) fig.savefig(fig_name) aux = transform_plot_data(bg.logs.eigs, opts.plot_transform_wave, self.conf) plot_range, teigs = aux plot_labels = opts.plot_labels_wave fig = plot_gaps(2, plot_rsc, bg.gaps, bg.kinds, bg.freq_range_margins, plot_range, clear=True) fig = plot_logs(2, plot_rsc, plot_labels, bg.logs.freqs, teigs, bg.valid[bg.eig_range], bg.freq_range_initial, plot_range, show_legend=plot_opts['legend'], new_axes=True) fig_name = opts.fig_name_wave if fig_name is not None: fig_name = _get_fig_name(self.problem.output_dir, fig_name, key, 'dispersion', opts.fig_suffix) fig.savefig(fig_name) if plot_opts['show']: plt.show() sfepy-release_2015.1/sfepy/homogenization/coefficients.py000066400000000000000000000232741247364230400236400ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import ordered_iteritems, Struct, basestr from sfepy.base.ioutils import read_dict_hdf5, write_dict_hdf5 from sfepy.homogenization.utils import iter_sym class Coefficients(Struct): """ Class for storing (homogenized) material coefficients. """ def from_file_hdf5( filename ): obj = Coefficients() obj.__dict__ = read_dict_hdf5( filename ) for key, val in obj.__dict__.iteritems(): if type( val ) == list: for ii, vv in enumerate( val ): val[ii] = nm.array( vv, dtype = nm.float64 ) return obj from_file_hdf5 = staticmethod( from_file_hdf5 ) def to_file_hdf5( self, filename ): write_dict_hdf5( filename, self.__dict__ ) def _escape_latex(self, txt): return txt.replace('_', '\_').replace('%', '\%') def _format(self, val): out = self._a_format % val if self._a_cdot: a1, a2 = out.split('e') if (self._a_filter is not None) and (int(a2) < self._a_filter): out = '0' else: out = '%s \cdot 10^{%s}' % (a1, int(a2)) return out def _write1d(self, fd, val): fd.write( r' \begin{equation}' ) fd.write( '\n' ) fd.write( r' \left[' ) fd.write( '\n' ) fd.write(', '.join([self._format(vv) for vv in val])) fd.write( '\n' ) fd.write( r' \right]' ) fd.write( '\n' ) fd.write( r' \end{equation}' ) fd.write( '\n' ) def _write2d(self, fd, val): fd.write( r' \begin{equation}' ) fd.write( '\n' ) fd.write( r' \left[\begin{array}{%s}' % ('c' * val.shape[0]) ) fd.write( '\n' ) for ir in xrange( val.shape[1] ): for ic in xrange( val.shape[0] ): fd.write(' ' + self._format(val[ir,ic])) if ic < (val.shape[0] - 1): fd.write( r' & ' ) elif ir < (val.shape[1] - 1): fd.write( r' \\' ) fd.write( '\n' ) fd.write( '\n' ) fd.write( r' \end{array}\right]' ) fd.write( '\n' ) fd.write( r' \end{equation}' ) fd.write( '\n' ) def _save_dict_latex(self, adict, fd, names): fd.write( r'\begin{itemize}' ) fd.write( '\n' ) for key, val in ordered_iteritems(adict): if key.startswith('_a_'): continue try: lname = names[key] except: lname = self._escape_latex(key) fd.write( '\item %s:' % lname ) fd.write( '\n' ) if isinstance(val, dict): self._save_dict_latex(val, fd, names) elif isinstance(val, basestr): fd.write(self._escape_latex(val) + '\n') elif val.ndim == 0: fd.write('$' + self._format(val) + '$\n') elif val.ndim == 1: self._write1d(fd, val) elif val.ndim == 2: self._write2d(fd, val) fd.write( r'\end{itemize}' ) fd.write( '\n\n' ) def to_file_latex(self, filename, names, format='%.2e', cdot=False, filter=None): r""" Save the coefficients to a file in LaTeX format. Parameters ---------- filename : str The name of the output file. names : dict Mapping of attribute names to LaTeX names. format : str Format string for numbers. cdot : bool For '%.e' formats only. If True, replace 'e' by LaTeX '\cdot 10^{exponent}' format. filter : int For '%.e' formats only. Typeset as 0, if exponent is less than `filter`. """ self._a_format = format self._a_cdot = cdot self._a_filter = filter fd = open(filename, 'w') self._save_dict_latex(self.__dict__, fd, names) fd.close() def _save_dict(self, adict, fd, names, format): for key, val in ordered_iteritems(adict): try: lname = names[key] except: lname = key fd.write('%s:\n' % lname) if hasattr(val, 'to_file_txt'): if val.to_file_txt is not None: val.to_file_txt(fd, format, val) else: fd.write('--\n') elif isinstance(val, dict): self._save_dict(val, fd, names, format) fd.write('\n') elif isinstance(val, basestr): fd.write(val + '\n') elif isinstance(val, float): fd.write('%e\n' % val) elif isinstance(val, nm.ndarray): if val.ndim == 0: fd.write(format % val) fd.write('\n') elif val.ndim == 1: for ic in xrange(val.shape[0]): fd.write(format % val[ic]) if ic < (val.shape[0] - 1): fd.write(', ') else: fd.write('\n') elif val.ndim == 2: for ir in xrange(val.shape[0]): for ic in xrange(val.shape[1]): fd.write(format % val[ir,ic]) if ic < (val.shape[1] - 1): fd.write(', ') elif ir < (val.shape[0] - 1): fd.write(';\n') fd.write('\n') elif val.ndim == 3: for ii in xrange(val.shape[0]): fd.write(' step %d:\n' % ii) for ir in xrange(val.shape[1]): for ic in xrange(val.shape[2]): fd.write(' ' + format % val[ii,ir,ic]) if ic < (val.shape[2] - 1): fd.write(', ') elif ir < (val.shape[1] - 1): fd.write(';\n') fd.write('\n') fd.write('\n') else: fd.write('--\n') fd.write('\n') def to_file_txt( self, filename, names, format ): fd = open( filename, 'w' ) self._save_dict( self.__dict__, fd, names, format ) fd.close() _table_vector = r""" \begin{center} \begin{tabular}{cc} i & value \\ %s \end{tabular} \end{center} """ _table_matrix_1 = r""" \begin{center} \begin{tabular}{cc} ij & value \\ %s \end{tabular} \end{center} """ _table_matrix_2 = r""" \begin{center} \begin{tabular}{cc} ijkl & value \\ %s \end{tabular} \end{center} """ _itemize = r""" \begin{itemize} %s \end{itemize} """ ## # c: 09.07.2008, r: 09.07.2008 def _typeset( self, val, dim, style = 'table', format = '%f', step = None ): sym = (dim + 1) * dim / 2 mode = None if val.ndim == 0: mode = 'scalar' elif val.ndim == 1: if val.shape[0] == 1: mode = 'scalar' elif val.shape[0] == dim: mode = 'vector' elif val.shape[0] == sym: mode = 'matrix_t1d' elif val.ndim == 2: if val.shape[0] == dim: mode = 'matrix_2D' elif val.shape[0] == sym: mode = 'matrix_t2d' out = '' if mode == 'scalar': out = format % val elif mode == 'vector': aux = ' \\\\\n'.join( [r'$_%d$ & %s' % (ir + 1, format % val[ir]) for ir in xrange( dim )] ) out = self._table_vector % aux elif mode == 'matrix_t1d': aux = ' \\\\\n'.join( [r'$_{%d%d}$ & %s' % (ir + 1, ic + 1, format % val[ii]) for ii, (ir, ic) \ in enumerate( iter_sym( dim ) )] ) out = self._table_matrix_1 % aux elif mode == 'matrix_2D': aux = ' \\\\\n'.join( [r'$_{%d%d}$ & %s' % (ir + 1, ic + 1, format % val[ir,ic]) for ir in xrange( dim ) for ic in xrange( dim )] ) out = self._table_matrix_1 % aux elif mode == 'matrix_t2d': aux = ' \\\\\n'.join( [r'$_{%d%d%d%d}$ & %s' % (irr + 1, irc + 1, icr + 1, icc + 1, format % val[ii,jj]) for ii, (irr, irc) \ in enumerate( iter_sym( dim ) ) for jj, (icr, icc) \ in enumerate( iter_sym( dim ) )] ) out = self._table_matrix_2 % aux return out def to_latex( self, attr_name, dim, style = 'table', format = '%f', step = None ): val = getattr( self, attr_name ) if step is not None: val = val[step] if isinstance( val, dict ): aux = '' for key, dval in val.iteritems(): aux2 = r'\item %s : %s' % (key, self._typeset( dval, dim, style, format, step )) aux = '\n'.join( (aux, aux2) ) out = self._itemize % aux else: out = self._typeset( val, dim, style, format, step ) return out sfepy-release_2015.1/sfepy/homogenization/coefs_base.py000066400000000000000000001307511247364230400232670ustar00rootroot00000000000000import os import time import numpy as nm import numpy.linalg as nla import scipy as sc from sfepy.base.base import output, assert_, get_default, debug, Struct from sfepy.discrete.evaluate import eval_equations from sfepy.solvers.ts import TimeStepper from sfepy.discrete.fem.meshio import HDF5MeshIO from sfepy.solvers import Solver, eig from sfepy.linalg import MatrixAction from utils import iter_sym, create_pis, create_scalar_pis class MiniAppBase(Struct): def any_from_conf(name, problem, kwargs): try: cls = kwargs['class'] except KeyError: raise KeyError("set 'class' for MiniApp %s!" % name) obj = cls(name, problem, kwargs) return obj any_from_conf = staticmethod(any_from_conf) def __init__(self, name, problem, kwargs): Struct.__init__(self, name=name, problem=problem, **kwargs) self.problem.clear_equations() self.set_default('requires', []) self.set_default('is_linear', False) self.set_default('dtype', nm.float64) self.set_default('term_mode', None) self.set_default('set_volume', 'total') # Application-specific options. self.app_options = self.process_options() def process_options(self): """ Setup application-specific options. Subclasses should implement this method as needed. Returns ------- app_options : Struct instance The application options. """ def init_solvers(self, problem): """ Setup solvers. Use local options if these are defined, otherwise use the global ones. For linear problems, assemble the matrix and try to presolve the linear system. """ if hasattr(self, 'solvers'): opts = self.solvers else: opts = problem.conf.options problem.set_solvers(problem.conf.solvers, opts) if self.is_linear: output('linear problem, trying to presolve...') tt = time.clock() ev = problem.get_evaluator() state = problem.create_state() try: mtx_a = ev.eval_tangent_matrix(state(), is_full=True) except ValueError: output('matrix evaluation failed, giving up...') raise problem.set_linear(True) problem.init_solvers(mtx=mtx_a, presolve=True) output('...done in %.2f s' % (time.clock() - tt)) else: problem.set_linear(False) def _get_volume(self, volume): if isinstance(volume, dict): return volume[self.set_volume] else: return volume class CorrSolution(Struct): """ Class for holding solutions of corrector problems. """ def iter_solutions(self): if hasattr(self, 'components'): for indx in self.components: key = ('%d' * len(indx)) % indx yield key, self.states[indx] else: yield '', self.state class CorrMiniApp(MiniAppBase): def __init__(self, name, problem, kwargs): MiniAppBase.__init__(self, name, problem, kwargs) self.output_dir = self.problem.output_dir self.set_default('save_name', '(not_set)') self.set_default('dump_name', self.save_name) self.set_default('dump_variables', []) self.set_default('save_variables', self.dump_variables) self.save_name = os.path.normpath(os.path.join(self.output_dir, self.save_name)) self.dump_name = os.path.normpath(os.path.join(self.output_dir, self.dump_name)) def setup_output(self, save_format=None, dump_format=None, post_process_hook=None, file_per_var=None): """Instance attributes have precedence!""" self.set_default('dump_format', dump_format) self.set_default('save_format', save_format) self.set_default('post_process_hook', post_process_hook) self.set_default('file_per_var', file_per_var) def get_save_name_base(self): return self.save_name def get_dump_name_base(self): return self.get_save_name_base() def get_save_name(self): return '.'.join((self.get_save_name_base(), self.save_format)) def get_dump_name(self): if self.dump_format is not None: return '.'.join((self.get_dump_name_base(), self.dump_format)) else: return None def get_output(self, corr_sol, is_dump=False, extend=True, variables=None): if variables is None: variables = self.problem.get_variables() to_output = variables.state_to_output if is_dump: var_names = self.dump_variables extend = False else: var_names = self.save_variables out = {} for key, sol in corr_sol.iter_solutions(): for var_name in var_names: if key: skey = var_name + '_' + key else: skey = var_name dof_vector = sol[var_name] if is_dump: var = variables[var_name] shape = (var.n_dof / var.n_components, var.n_components) out[skey] = Struct(name = 'dump', mode = 'nodes', data = dof_vector, dofs = var.dofs, shape = shape, var_name = var_name) else: aux = to_output(dof_vector, var_info={var_name: (True, var_name)}, extend=extend) if self.post_process_hook is not None: aux = self.post_process_hook(aux, self.problem, None, extend=extend) for _key, val in aux.iteritems(): if key: new_key = _key + '_' + key else: new_key = _key out[new_key] = val return out def save(self, state, problem, variables=None): save_name = self.get_save_name() if save_name is not None: extend = not self.file_per_var out = self.get_output(state, extend=extend, variables=variables) problem.save_state(save_name, out=out, file_per_var=self.file_per_var) dump_name = self.get_dump_name() if dump_name is not None: problem.save_state(dump_name, out=self.get_output(state, is_dump=True, variables=variables), file_per_var=False) class ShapeDimDim(CorrMiniApp): def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) clist, pis = create_pis(problem, self.variables[0]) corr_sol = CorrSolution(name=self.name, states=pis, components=clist) return corr_sol class ShapeDim(CorrMiniApp): def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) clist, pis = create_scalar_pis(problem, self.variables[0]) corr_sol = CorrSolution(name=self.name, states=pis, components=clist) return corr_sol class OnesDim(CorrMiniApp): def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) var_name = self.variables[0] var = problem.get_variables(auto_create=True)[var_name] dim = problem.domain.mesh.dim nnod = var.n_nod e00 = nm.zeros((nnod, dim), dtype=nm.float64) e1 = nm.ones((nnod,), dtype=nm.float64) ones = nm.zeros((dim,), dtype=nm.object) clist = [] for ir in range(dim): aux = e00.copy() aux[:,ir] = e1 ones[ir] = {var_name : nm.ascontiguousarray(aux)} clist.append('pi_%d' % (ir,)) corr_sol = CorrSolution(name=self.name, states=ones, components=clist) return corr_sol class CopyData(CorrMiniApp): def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) var_name = self.variable clist = ['data'] dn = self.data if type(dn) is list: data = problem for ii in dn: data = data.get(ii, 'None') else: data = problem.get(dn, 'None') if type(data) is dict: corr_sol = CorrSolution(name=self.name, state=data, components=clist) else: if data.dtype == nm.object: corr_sol = CorrSolution(name=self.name, states=data, components=clist) else: ndof, ndim = data.shape state = {var_name: data.reshape((ndof * ndim,))} corr_sol = CorrSolution(name=self.name, state=state, components=clist) return corr_sol class CorrNN(CorrMiniApp): """ __init__() kwargs: { 'ebcs' : [], 'epbcs' : [], 'equations' : {}, 'set_variables' : None, }, """ def set_variables_default(variables, ir, ic, set_var, data): for (var, req, comp) in set_var: variables[var].set_data(data[req].states[ir,ic][comp]) set_variables_default = staticmethod(set_variables_default) def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" CorrMiniApp.__init__(self, name, problem, kwargs) self.set_default('dim', problem.get_dim()) def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) problem.set_equations(self.equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials(problem.ts) self.init_solvers(problem) variables = problem.get_variables() states = nm.zeros((self.dim, self.dim), dtype=nm.object) clist = [] for ir in range(self.dim): for ic in range(self.dim): if isinstance(self.set_variables, list): self.set_variables_default(variables, ir, ic, self.set_variables, data) else: self.set_variables(variables, ir, ic, **data) state = problem.solve() assert_(state.has_ebc()) states[ir,ic] = state.get_parts() clist.append((ir, ic)) corr_sol = CorrSolution(name=self.name, states=states, components=clist) self.save(corr_sol, problem) return corr_sol class CorrN(CorrMiniApp): def set_variables_default(variables, ir, set_var, data): for (var, req, comp) in set_var: variables[var].set_data(data[req].states[ir][comp]) set_variables_default = staticmethod(set_variables_default) def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" CorrMiniApp.__init__(self, name, problem, kwargs) self.set_default('dim', problem.get_dim()) def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) problem.set_equations(self.equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials(problem.ts) self.init_solvers(problem) variables = problem.get_variables() states = nm.zeros((self.dim,), dtype=nm.object) clist = [] for ir in range(self.dim): if isinstance(self.set_variables, list): self.set_variables_default(variables, ir, self.set_variables, data) else: self.set_variables(variables, ir, **data) state = problem.solve() assert_(state.has_ebc()) states[ir] = state.get_parts() clist.append((ir,)) corr_sol = CorrSolution(name=self.name, states=states, components=clist) self.save(corr_sol, problem) return corr_sol class CorrDimDim(CorrNN): pass class CorrDim(CorrN): pass class CorrOne(CorrMiniApp): def set_variables_default(variables, set_var, data): for (var, req, comp) in set_var: variables[var].set_data(data[req].state[comp]) set_variables_default = staticmethod(set_variables_default) def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) problem.set_equations(self.equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials(problem.ts) self.init_solvers(problem) variables = problem.get_variables() if hasattr(self, 'set_variables'): if isinstance(self.set_variables, list): self.set_variables_default(variables, self.set_variables, data) else: self.set_variables(variables, **data) state = problem.solve() assert_(state.has_ebc()) corr_sol = CorrSolution(name=self.name, state=state.get_parts()) self.save(corr_sol, problem) return corr_sol class CorrSetBCS(CorrMiniApp): def __call__(self, problem=None, data=None): from sfepy.base.base import select_by_names from sfepy.discrete.variables import Variables from sfepy.discrete.state import State from sfepy.discrete.conditions import Conditions problem = get_default(problem, self.problem) conf_ebc = select_by_names(problem.conf.ebcs, self.ebcs) conf_epbc = select_by_names(problem.conf.epbcs, self.epbcs) ebcs = Conditions.from_conf(conf_ebc, problem.domain.regions) epbcs = Conditions.from_conf(conf_epbc, problem.domain.regions) conf_variables = select_by_names(problem.conf.variables, self.variable) problem.set_variables(conf_variables) variables = Variables.from_conf(conf_variables, problem.fields) variables.equation_mapping(ebcs, epbcs, problem.ts, problem.functions) state = State(variables) state.fill(0.0) state.apply_ebc() corr_sol = CorrSolution(name=self.name, state=state.get_parts()) self.save(corr_sol, problem, variables) return corr_sol class CorrEqPar(CorrOne): """ The corrector which equation can be parametrized via 'eq_pars', the dimension is given by the number of parameters. Example: 'equations': 'dw_diffusion.5.Y(mat.k, q, p) = dw_surface_integrate.5.%s(q)', 'eq_pars': ('bYMp', 'bYMm'), 'class': cb.CorrEqPar, """ def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" CorrMiniApp.__init__(self, name, problem, kwargs) self.set_default('dim', len(self.eq_pars)) def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) states = nm.zeros((self.dim,), dtype=nm.object) clist = [] eqns ={} for ir in range(self.dim): for key_eq, val_eq in self.equations.iteritems(): eqns[key_eq] = val_eq % self.eq_pars[ir] problem.set_equations(eqns) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials(problem.ts) self.init_solvers(problem) variables = problem.get_variables() if hasattr(self, 'set_variables'): if isinstance(self.set_variables, list): self.set_variables_default(variables, self.set_variables, data) else: self.set_variables(variables, **data) state = problem.solve() assert_(state.has_ebc()) states[ir] = state.get_parts() clist.append((ir,)) corr_sol = CorrSolution(name=self.name, states=states, components=clist) self.save(corr_sol, problem) return corr_sol class PressureEigenvalueProblem(CorrMiniApp): """Pressure eigenvalue problem solver for time-dependent correctors.""" def presolve(self, mtx): """Prepare A^{-1} B^T for the Schur complement.""" mtx_a = mtx['A'] mtx_bt = mtx['BT'] output('full A size: %.3f MB' % (8.0 * nm.prod(mtx_a.shape) / 1e6)) output('full B size: %.3f MB' % (8.0 * nm.prod(mtx_bt.shape) / 1e6)) ls = Solver.any_from_conf(self.problem.ls_conf, presolve=True, mtx=mtx_a) if self.mode == 'explicit': tt = time.clock() mtx_aibt = nm.zeros(mtx_bt.shape, dtype=mtx_bt.dtype) for ic in xrange(mtx_bt.shape[1]): mtx_aibt[:,ic] = ls(mtx_bt[:,ic].toarray().squeeze()) output('mtx_aibt: %.2f s' % (time.clock() - tt)) action_aibt = MatrixAction.from_array(mtx_aibt) else: ## # c: 30.08.2007, r: 13.02.2008 def fun_aibt(vec): # Fix me for sparse mtx_bt... rhs = sc.dot(mtx_bt, vec) out = ls(rhs) return out action_aibt = MatrixAction.from_function(fun_aibt, (mtx_a.shape[0], mtx_bt.shape[1]), nm.float64) mtx['action_aibt'] = action_aibt def solve_pressure_eigenproblem(self, mtx, eig_problem=None, n_eigs=0, check=False): """G = B*AI*BT or B*AI*BT+D""" def get_slice(n_eigs, nn): if n_eigs > 0: ii = slice(0, n_eigs) elif n_eigs < 0: ii = slice(nn + n_eigs, nn) else: ii = slice(0, 0) return ii eig_problem = get_default(eig_problem, self.eig_problem) n_eigs = get_default(n_eigs, self.n_eigs) check = get_default(check, self.check) mtx_c, mtx_b, action_aibt = mtx['C'], mtx['B'], mtx['action_aibt'] mtx_g = mtx_b * action_aibt.to_array() # mtx_b must be sparse! if eig_problem == 'B*AI*BT+D': mtx_g += mtx['D'].toarray() mtx['G'] = mtx_g output(mtx_c.shape, mtx_g.shape) eigs, mtx_q = eig(mtx_c.toarray(), mtx_g, method='eig.sgscipy') if check: ee = nm.diag(sc.dot(mtx_q.T * mtx_c, mtx_q)).squeeze() oo = nm.diag(sc.dot(sc.dot(mtx_q.T, mtx_g), mtx_q)).squeeze() try: assert_(nm.allclose(ee, eigs)) assert_(nm.allclose(oo, nm.ones_like(eigs))) except ValueError: debug() nn = mtx_c.shape[0] if isinstance(n_eigs, tuple): output('required number of eigenvalues: (%d, %d)' % n_eigs) if sum(n_eigs) < nn: ii0 = get_slice(n_eigs[0], nn) ii1 = get_slice(-n_eigs[1], nn) eigs = nm.concatenate((eigs[ii0], eigs[ii1])) mtx_q = nm.concatenate((mtx_q[:,ii0], mtx_q[:,ii1]), 1) else: output('required number of eigenvalues: %d' % n_eigs) if (n_eigs != 0) and (abs(n_eigs) < nn): ii = get_slice(n_eigs, nn) eigs = eigs[ii] mtx_q = mtx_q[:,ii] ## from sfepy.base.plotutils import pylab, iplot ## pylab.semilogy(eigs) ## pylab.figure(2) ## iplot(eigs) ## pylab.show() ## debug() out = Struct(eigs=eigs, mtx_q=mtx_q) return out def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) problem.set_equations(self.equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials() mtx = problem.equations.eval_tangent_matrices(problem.create_state()(), problem.mtx_a, by_blocks=True) self.presolve(mtx) evp = self.solve_pressure_eigenproblem(mtx) return Struct(name=self.name, ebcs=self.ebcs, epbcs=self.epbcs, mtx=mtx, evp=evp) class TCorrectorsViaPressureEVP(CorrMiniApp): """ Time correctors via the pressure eigenvalue problem. """ def setup_equations(self, equations, problem=None): """ Set equations, update boundary conditions and materials. """ problem = get_default(problem, self.problem) problem.set_equations(equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials() # Assume parameters constant in time. def compute_correctors(self, evp, sign, state0, ts, dump_name, save_name, problem=None, vec_g=None): problem = get_default(problem, self.problem) eigs = evp.evp.eigs mtx_q = evp.evp.mtx_q mtx = evp.mtx nr, nc = mtx_q.shape if vec_g is not None: output('nonzero pressure EBC: max = %e, min = %e' \ % (vec_g.max(), vec_g.min())) one = nm.ones((nc,), dtype=nm.float64) vu, vp = self.dump_variables variables = problem.get_variables() var_u = variables[vu] var_p = variables[vp] ## # follow_epbc = False -> R1 = - R2 as required. ? for other correctors? vec_p0 = sign * var_p.get_reduced(state0[vp], follow_epbc=False) ## print state0 ## print vec_p0 ## print vec_p0.min(), vec_p0.max(), nla.norm(vec_p0) ## debug() # xi0 = Q^{-1} p(0) = Q^T G p(0) vec_xi0 = sc.dot(mtx_q.T, sc.dot(mtx['G'], vec_p0[:,nm.newaxis])).squeeze() action_aibt = mtx['action_aibt'] e_e_qg = 0.0 iee_e_qg = 0.0 format = '====== time %%e (step %%%dd of %%%dd) ====='\ % ((ts.n_digit,) * 2) for step, time in ts: output(format % (time, step + 1, ts.n_step)) e_e = nm.exp(- eigs * time) e_e_qp = e_e * vec_xi0 # exp(-Et) Q^{-1} p(0) if vec_g is not None: Qg = sc.dot(mtx_q.T, vec_g) e_e_qg = e_e * Qg iee_e_qg = ((one - e_e) / eigs) * Qg vec_p = sc.dot(mtx_q, e_e_qp + iee_e_qg) vec_dp = - sc.dot(mtx_q, (eigs * e_e_qp - e_e_qg)) vec_u = action_aibt(vec_dp) ## bbb = sc.dot(vec_dp.T, - mtx['C'] * vec_p0) vec_u = var_u.get_full(vec_u) vec_p = var_p.get_full(vec_p) # BC nodes - time derivative of constant is zero! vec_dp = var_p.get_full(vec_dp, force_value=0.0) ## aaa = sc.dot(vec_xi0.T, eigs * (eigs * e_e_qp)) ## print aaa ## print bbb self.save(dump_name, save_name, vec_u, vec_p, vec_dp, ts, problem) def save(self, dump_name, save_name, vec_u, vec_p, vec_dp, ts, problem): """ 1. saves raw correctors into hdf5 files (filename) 2. saves correctors transformed to output for visualization """ vu, vp = self.dump_variables out = {vu : Struct(name='dump', mode='nodes', data=vec_u, dofs=None, var_name=vu), vp : Struct(name='dump', mode='nodes', data=vec_p, dofs=None, var_name=vp), 'd'+vp : Struct(name='dump', mode='nodes', data=vec_dp, dofs=None, var_name=vp)} problem.save_state(dump_name, out=out, file_per_var=False, ts=ts) # For visualization... out = {} extend = not self.file_per_var variables = self.problem.get_variables() to_output = variables.state_to_output out.update(to_output(vec_u, var_info={vu : (True, vu)}, extend=extend)) out.update(to_output(vec_p, var_info={vp : (True, vp)}, extend=extend)) out.update(to_output(vec_dp, var_info={vp : (True, 'd'+vp)}, extend=extend)) if self.post_process_hook is not None: out = self.post_process_hook(out, problem, {vu : vec_u, vp : vec_p, 'd'+vp : vec_dp}, extend=extend) problem.save_state(save_name, out=out, file_per_var=self.file_per_var, ts=ts) def verify_correctors(self, sign, state0, filename, problem=None): problem = get_default(problem, self.problem) io = HDF5MeshIO(filename) ts = TimeStepper(*io.read_time_stepper()) ts.set_step(0) problem.equations.init_time(ts) variables = self.problem.get_variables() vu, vp = self.dump_variables vdp = self.verify_variables[-1] p0 = sign * state0[vp] format = '====== time %%e (step %%%dd of %%%dd) ====='\ % ((ts.n_digit,) * 2) vv = variables ok = True for step, time in ts: output(format % (time, step + 1, ts.n_step)) data = io.read_data(step) if step == 0: assert_(nm.allclose(data[vp].data, p0)) state0 = problem.create_state() state0.set_full(data[vu].data, vu) state0.set_full(data[vp].data, vp) vv[vdp].set_data(data['d'+vp].data) problem.update_time_stepper(ts) state = problem.solve(state0) state, state0 = state(), state0() err = nla.norm(state - state0) / nla.norm(state0) output(state.min(), state.max()) output(state0.min(), state0.max()) output('>>>>>', err) ok = ok and (err < 1e-12) problem.advance(ts) return ok class CoefDummy(MiniAppBase): """ Dummy class serving for computing and returning its requirements. """ def __call__(self, volume=None, problem=None, data=None): return data class TSTimes(MiniAppBase): """Coefficient-like class, returns times of the time stepper.""" def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) return problem.get_time_solver().ts.times class VolumeFractions(MiniAppBase): """Coefficient-like class, returns volume fractions of given regions within the whole domain.""" def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) vf = {} for region_name in self.regions: vkey = 'volume_%s' % region_name key = 'fraction_%s' % region_name equations, variables = problem.create_evaluable(self.expression % region_name) val = eval_equations(equations, variables) vf[vkey] = nm.asarray(val, dtype=nm.float64) vf[key] = vf[vkey] / self._get_volume(volume) return vf class CoefSymSym(MiniAppBase): def set_variables_default(variables, ir, ic, mode, set_var, data): def get_corr_state(corr, ir, ic): if hasattr(corr, 'states'): return corr.states[ir,ic] else: return corr.state mode2var = {'row' : 0, 'col' : 1} idx = mode2var[mode] for (var, req, comp) in [set_var[idx]] + set_var[2:]: if type(req) is tuple: val = get_corr_state(data[req[0]], ir, ic)[comp].copy() for ii in req[1:]: val += get_corr_state(data[ii], ir, ic)[comp] else: val = get_corr_state(data[req], ir, ic)[comp] variables[var].set_data(val) set_variables_default = staticmethod(set_variables_default) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) dim, sym = problem.get_dim(get_sym=True) coef = nm.zeros((sym, sym), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) for ir, (irr, icr) in enumerate(iter_sym(dim)): if isinstance(self.set_variables, list): self.set_variables_default(variables, irr, icr, 'row', self.set_variables, data) else: self.set_variables(variables, irr, icr, 'row', **data) for ic, (irc, icc) in enumerate(iter_sym(dim)): if isinstance(self.set_variables, list): self.set_variables_default(variables, irc, icc, 'col', self.set_variables, data) else: self.set_variables(variables, irc, icc, 'col', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir,ic] = val coef /= self._get_volume(volume) return coef class CoefFMSymSym(MiniAppBase): """ Fading memory sym x sym coefficients. """ def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) dim, sym = problem.get_dim(get_sym=True) filename = self.set_variables(None, None, None, 0, 0, 'filename', **data) ts = TimeStepper(*HDF5MeshIO(filename).read_time_stepper()) coef = nm.zeros((ts.n_step, sym, sym), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) for ir, (irr, icr) in enumerate(iter_sym(dim)): filename = self.set_variables(None, None, None, irr, icr, 'filename', **data) io = HDF5MeshIO(filename) for step, time in ts: self.set_variables(variables, io, step, None, None, 'row', **data) for ic, (irc, icc) in enumerate(iter_sym(dim)): self.set_variables(variables, None, None, irc, icc, 'col', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[step,ir,ic] = val coef /= self._get_volume(volume) return coef class CoefDimSym(MiniAppBase): def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) dim, sym = problem.get_dim(get_sym=True) coef = nm.zeros((dim, sym), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) for ir in range(dim): self.set_variables(variables, ir, None, 'row', **data) for ic, (irc, icc) in enumerate(iter_sym(dim)): self.set_variables(variables, irc, icc, 'col', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir,ic] = val coef /= self._get_volume(volume) return coef class CoefNN(MiniAppBase): def set_variables_default(variables, ir, ic, mode, set_var, data): def get_corr_state(corr, ii): if hasattr(corr, 'states'): return corr.states[ii] else: return corr.state mode2var = {'row' : 0, 'col' : 1} if mode == 'col': ir = ic idx = mode2var[mode] for (var, req, comp) in [set_var[idx]] + set_var[2:]: if type(req) is tuple: val = get_corr_state(data[req[0]], ir)[comp].copy() for ii in req[1:]: val += get_corr_state(data[ii], ir)[comp] else: val = get_corr_state(data[req], ir)[comp] variables[var].set_data(val) set_variables_default = staticmethod(set_variables_default) def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" MiniAppBase.__init__(self, name, problem, kwargs) self.set_default('dim', problem.get_dim()) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) coef = nm.zeros((self.dim, self.dim), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) if isinstance(self.set_variables, list): for ir in range(self.dim): self.set_variables_default(variables, ir, None, 'row', self.set_variables, data) for ic in range(self.dim): self.set_variables_default(variables, None, ic, 'col', self.set_variables, data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir,ic] = val else: for ir in range(self.dim): self.set_variables(variables, ir, None, 'row', **data) for ic in range(self.dim): self.set_variables(variables, None, ic, 'col', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir,ic] = val coef /= self._get_volume(volume) return coef class CoefN(MiniAppBase): def set_variables_default(variables, ir, set_var, data): def get_corr_state(corr, ii): if hasattr(corr, 'states'): return corr.states[ii] else: return corr.state for (var, req, comp) in set_var: if type(req) is tuple: val = get_corr_state(data[req[0]], ir)[comp].copy() for ii in req[1:]: val += get_corr_state(data[ii], ir)[comp] else: val = get_corr_state(data[req], ir)[comp] variables[var].set_data(val) set_variables_default = staticmethod(set_variables_default) def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" MiniAppBase.__init__(self, name, problem, kwargs) self.set_default('dim', problem.get_dim()) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) coef = nm.zeros((self.dim,), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) for ir in range(self.dim): if isinstance(self.set_variables, list): self.set_variables_default(variables, ir, self.set_variables, data) else: self.set_variables(variables, ir, **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir] = val coef /= self._get_volume(volume) return coef class CoefDimDim(CoefNN): pass class CoefDim(CoefN): pass class CoefSym(MiniAppBase): def set_variables_default(variables, ir, ic, mode, set_var, data): def get_corr_state(corr, ir, ic): if hasattr(corr, 'states'): return corr.states[ir,ic] else: return corr.state if mode == 'row': for (var, req, comp) in set_var: if type(req) is tuple: val = get_corr_state(data[req[0]], ir, ic)[comp].copy() for ii in req[1:]: val += get_corr_state(data[ii], ir, ic)[comp] else: val = get_corr_state(data[req], ir, ic)[comp] variables[var].set_data(val) set_variables_default = staticmethod(set_variables_default) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) dim, sym = problem.get_dim(get_sym=True) coef = nm.zeros((sym,), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) if isinstance(self.set_variables, list): self.set_variables_default(variables, None, None, 'col', self.set_variables, data) else: self.set_variables(variables, None, None, 'col', **data) for ii, (ir, ic) in enumerate(iter_sym(dim)): if isinstance(self.set_variables, list): self.set_variables_default(variables, ir, ic, 'row', self.set_variables, data) else: self.set_variables(variables, ir, ic, 'row', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ii] = val coef /= self._get_volume(volume) return coef class CoefFMSym(MiniAppBase): """ Fading memory sym coefficients. """ def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) dim, sym = problem.get_dim(get_sym=True) filename = self.set_variables(None, 0, 0, 'filename', **data) ts = TimeStepper(*HDF5MeshIO(filename).read_time_stepper()) coef = nm.zeros((ts.n_step, sym), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) self.set_variables(variables, None, None, 'col', **data) for ii, (ir, ic) in enumerate(iter_sym(dim)): filename = self.set_variables(None, ir, ic, 'filename', **data) io = HDF5MeshIO(filename) for step, time in ts: self.set_variables(variables, io, step, 'row', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[step,ii] = val coef /= self._get_volume(volume) return coef class CoefOne(MiniAppBase): def set_variables_default(variables, set_var, data): for (var, req, comp) in set_var: variables[var].set_data(data[req].state[comp]) set_variables_default = staticmethod(set_variables_default) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) if isinstance(self.set_variables, list): self.set_variables_default(variables, self.set_variables, data) else: self.set_variables(variables, **data) val = eval_equations(equations, variables, term_mode=term_mode) coef = val / self._get_volume(volume) return coef class CoefFMOne(MiniAppBase): """ Fading memory scalar coefficients. """ def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) filename = self.set_variables(None, None, None, 'filename', **data) io = HDF5MeshIO(filename) ts = TimeStepper(*io.read_time_stepper()) coef = nm.zeros((ts.n_step, 1), dtype=self.dtype) term_mode = self.term_mode equations, variables = problem.create_evaluable(self.expression, term_mode=term_mode) self.set_variables(variables, None, None, 'col', **data) for step, time in ts: self.set_variables(variables, io, step, 'row', **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[step] = val coef /= self._get_volume(volume) return coef class CoefSum(MiniAppBase): def __call__(self, volume, problem=None, data=None): coef = nm.zeros_like(data[self.requires[0]]) for i in range(len(self.requires)): coef += data[self.requires[i]] return coef class CoefEval(MiniAppBase): """ Evaluate expression. """ def __call__(self, volume, problem=None, data=None): expr = self.expression for i in range(len(self.requires)): expr = expr.replace(self.requires[i], "data['%s']" % self.requires[i]) coef = eval(expr) return coef class CoefNone(MiniAppBase): def __call__(self, volume, problem=None, data=None): coef = 0.0 return coef class CoefExprPar(MiniAppBase): """ The coefficient which expression can be parametrized via 'expr_pars', the dimension is given by the number of parameters. Example: 'expression': 'dw_surface_ndot.5.Ys(mat_norm.k%d, corr1)', 'expr_pars': [ii for ii in range(dim)], 'class': cb.CoefExprPar, """ def set_variables_default(variables, ir, set_var, data): for (var, req, comp) in set_var: if hasattr(data[req], 'states'): variables[var].set_data(data[req].states[ir][comp]) else: variables[var].set_data(data[req].state[comp]) set_variables_default = staticmethod(set_variables_default) def __init__(self, name, problem, kwargs): """When dim is not in kwargs, problem dimension is used.""" MiniAppBase.__init__(self, name, problem, kwargs) dim = len(self.expr_pars) self.set_default('dim', dim) def __call__(self, volume, problem=None, data=None): problem = get_default(problem, self.problem) coef = nm.zeros((self.dim,), dtype=self.dtype) term_mode = self.term_mode for ir in range(self.dim): expression = self.expression % self.expr_pars[ir] equations, variables = \ problem.create_evaluable(expression, term_mode=term_mode) if isinstance(self.set_variables, list): self.set_variables_default(variables, ir, self.set_variables, data) else: self.set_variables(variables, ir, **data) val = eval_equations(equations, variables, term_mode=term_mode) coef[ir] = val coef /= self._get_volume(volume) return coef sfepy-release_2015.1/sfepy/homogenization/coefs_elastic.py000066400000000000000000000225301247364230400237740ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, assert_, get_default, Struct from sfepy.homogenization.coefs_base import CoefOne, CorrDim, \ TCorrectorsViaPressureEVP, \ CoefFMSymSym, CoefFMSym, CoefFMOne, \ CorrMiniApp, CorrSolution from sfepy.discrete.fem.meshio import HDF5MeshIO from sfepy.solvers.ts import TimeStepper class CorrectorsPermeability( CorrDim ): def __call__( self, problem = None, data = None, save_hook = None ): problem = get_default( problem, self.problem ) equations = {} for key, eq in self.equations.iteritems(): equations[key] = eq % tuple( self.regions ) index = [0] problem.set_equations( equations, user={self.index_name : index} ) problem.select_bcs( ebc_names = self.ebcs, epbc_names = self.epbcs ) problem.update_materials(problem.ts) self.init_solvers(problem) variables = problem.get_variables() dim = problem.get_dim() states = nm.zeros( (dim,), dtype = nm.object ) clist = [] for ir in range( dim ): index[0] = ir # Set the index - this is visible in the term. state = problem.solve() assert_(state.has_ebc()) states[ir] = variables.get_state_parts() clist.append( (ir,) ) corr_sol = CorrSolution(name = self.name, states = states, components = clist) self.save(corr_sol, problem) return corr_sol class PressureRHSVector( CorrMiniApp ): def __call__( self, problem = None, data = None ): problem = get_default( problem, self.problem ) problem.select_variables( self.variables ) problem.set_equations( self.equations ) problem.select_bcs( ebc_names = self.ebcs, epbc_names = self.epbcs ) state = problem.create_state() state.apply_ebc() vec = eval_term_op( state, self.equations.values()[0], problem, dw_mode = 'vector' ) ## print vec.max(), vec.min() return vec class TCorrectorsRSViaPressureEVP( TCorrectorsViaPressureEVP ): def get_save_name_base( self ): return self.save_name + '_%d%d' def get_dump_name_base( self ): return self.dump_name + '_%d%d' def __call__( self, problem = None, data = None ): """data: corrs_rs, evp""" problem = get_default( problem, self.problem ) ts = problem.get_time_solver().ts corrs, evp = [data[ii] for ii in self.requires] assert_( evp.ebcs == self.ebcs ) assert_( evp.epbcs == self.epbcs ) dim = problem.get_dim() filenames = nm.zeros( (dim, dim), dtype = nm.object ) self.setup_equations(self.equations) solve = self.compute_correctors for ir in range( dim ): for ic in range( dim ): filenames[ir,ic] = self.get_dump_name() % (ir,ic) savename = self.get_save_name() % (ir,ic) solve(evp, -1.0, corrs.states[ir,ic], ts, filenames[ir,ic], savename) if self.check: self.setup_equations(self.verify_equations) self.init_solvers(problem) output( 'verifying correctors %s...' % self.name ) verify = self.verify_correctors ok = True for ir in range( dim ): for ic in range( dim ): oo = verify(-1.0, corrs.states[ir,ic], filenames[ir,ic]) ok = ok and oo output( '...done, ok: %s' % ok ) return Struct( name = self.name, filenames = filenames ) class TCorrectorsPressureViaPressureEVP( TCorrectorsViaPressureEVP ): def get_save_name_base( self ): return self.save_name def get_dump_name_base( self ): return self.dump_name def __call__( self, problem = None, data = None, save_hook = None ): """data: corrs_pressure, evp, optionally vec_g""" problem = get_default( problem, self.problem ) ts = problem.get_time_solver().ts corrs, evp = [data[ii] for ii in self.requires[:2]] if len(self.requires) == 3: vec_g = data[self.requires[2]] else: vec_g = None assert_( evp.ebcs == self.ebcs ) assert_( evp.epbcs == self.epbcs ) filename = self.get_dump_name() savename = self.get_save_name() self.setup_equations(self.equations) solve = self.compute_correctors solve(evp, 1.0, corrs.state, ts, filename, savename, vec_g=vec_g) if self.check: self.setup_equations(self.verify_equations) self.init_solvers(problem) output( 'verifying correctors %s...' % self.name ) verify = self.verify_correctors ok = verify(1.0, corrs.state, filename) output( '...done, ok: %s' % ok ) return Struct( name = self.name, filename = filename ) class RBiotCoef( CoefFMSym ): """Homogenized fading memory Biot-like coefficient.""" def get_filename( self, data, ir, ic ): tcorrs = data[self.requires[1]] self.ir, self.ic = ir, ic return tcorrs.filename def get_variables( self, problem, io, step, data, mode ): if mode == 'col': return else: pis = data[self.requires[0]] step_data = io.read_data( step ) # omega. var_name = self.variables[0] c_name = problem.variables[var_name].primary_var_name yield var_name, step_data[c_name].data var_name = self.variables[1] yield var_name, pis.states[self.ir,self.ic] var_name = self.variables[2] c_name = problem.variables[var_name].primary_var_name pc = step_data['d'+c_name].data if self.ir == self.ic: yield (var_name, pc) else: yield (var_name, nm.zeros_like(pc)) class GBarCoef( CoefOne ): """ Asymptotic Barenblatt coefficient. data = [p^{\infty}] Note: solving "dw_diffusion.i1.Y3( m.K, qc, pc ) = 0" solve, in fact "C p^{\infty} = \hat{C} \hat{\pi}" with the result "\hat{p^{\infty}}", where the rhs comes from E(P)BC. - it is preferable to computing directly by "\hat{p^{\infty}} = \hat{C^-1 \strip(\hat{C} \hat{\pi})}", as it checks explicitly the rezidual. """ def __call__( self, volume, problem = None, data = None ): expression, region_name = self.expression problem = get_default( problem, self.problem ) problem.select_variables( self.variables ) problem.set_equations( {'eq' : expression} ) problem.time_update( conf_ebc = {}, conf_epbc = {}, conf_lcbc = {} ) pi_inf = data[self.requires[0]] coef = nm.zeros( (1,), dtype = nm.float64 ) vec = eval_term_op( pi_inf.state, expression, problem, new_geometries = False, dw_mode = 'vector' ) reg = problem.domain.regions[region_name] field = problem.variables[self.variables[1]].field nods = field.get_dofs_in_region(reg, merge=True) coef[0] = vec[nods].sum() coef /= volume return coef def eval_boundary_diff_vel_grad( problem, uc, pc, equation, region_name, pi = None ): get_state = problem.variables.get_state_part_view problem.set_equations( {'eq_2' : equation} ) state = problem.create_state() state.set_full(uc, 'uc') state.set_full(pc, 'pc') if pi is not None: problem.variables['Pi'].set_data(pi) problem.time_update( conf_ebc = {}, conf_epbc = {} ) state.apply_ebc() aux = problem.get_evaluator().eval_residual(state()) pc = get_state( aux, 'pc', True ) pc = problem.variables.make_full_vec( pc, 'pc', 0 ) field = problem.variables['pc'].field reg = problem.domain.regions[region_name] nods = field.get_dofs_in_region(reg, merge=True) val = pc[nods].sum() # assert nm.all( problem.variables.di.ptr == problem.variables.adi.ptr ) # problem.time_update() # Restore EBC. return val class GPlusCoef( CoefFMOne ): def get_filename( self, data ): tcorrs = data[self.requires[0]] return tcorrs.filename def __call__( self, volume, problem = None, data = None ): expression, region_name, aux_eq = self.expression problem = get_default( problem, self.problem ) problem.select_variables( self.variables ) aux = self.get_filename( data ) io = HDF5MeshIO( self.get_filename( data ) ) ts = TimeStepper( *io.read_time_stepper() ) coef = nm.zeros( (ts.n_step, 1), dtype = nm.float64 ) for step, time in ts: step_data = io.read_data( step ) var_name = self.variables[0] c_name = problem.variables[var_name].primary_var_name omega = step_data[c_name].data problem.variables[var_name].set_data(omega) val1 = eval_term_op( None, expression, problem, call_mode = 'd_eval' ) pc = step_data[self.variables[3]].data val2 = eval_boundary_diff_vel_grad( problem, omega, pc, aux_eq, region_name ) coef[step] = val1 + val2 coef /= volume return coef sfepy-release_2015.1/sfepy/homogenization/coefs_perfusion.py000066400000000000000000000041171247364230400243630ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_, get_default, Struct from sfepy.homogenization.coefs_base import CorrMiniApp, CoefN class CorrRegion( CorrMiniApp ): def __init__( self, name, problem, kwargs ): CorrMiniApp.__init__( self, name, problem, kwargs ) self.set_default('Nreg', len(self.regions.values()[0])) self.set_default('ebcs_list', False) def get_variables( self, ir, data ): return iter([]) def __call__( self, problem = None, data = None ): problem = get_default( problem, self.problem ) states = nm.zeros( (self.Nreg,), dtype = nm.object ) clist = [] for ir in range( self.Nreg ): problem.select_variables( self.variables ) for name, val in self.get_variables( ir, data ): problem.variables[name].set_data(val) equations = {} for keye, vale in self.equations.iteritems(): for keyr, valr in self.regions.iteritems(): vale = vale.replace( keyr, valr[ir] ) equations[keye] = vale problem.set_equations( equations ) if ( self.ebcs_list ): problem.select_bcs( ebc_names = self.ebcs[ir], epbc_names = self.epbcs ) else: problem.select_bcs( ebc_names = self.ebcs, epbc_names = self.epbcs ) self.init_solvers(problem) state = problem.solve() assert_(state.has_ebc()) states[ir] = state() clist.append( (ir,) ) self.save( states, problem, clist ) return Struct( name = self.name, states = states, di = problem.variables.di ) class CoefRegion( CoefN ): def __init__( self, name, problem, kwargs ): CoefN.__init__( self, name, problem, kwargs ) self.corr_dim = len(kwargs['regions'].values()[0]) def get_variables( self, problem, ir, data ): corr = data[self.requires[-1]] yield (self.variables[0], corr.states[ir]) sfepy-release_2015.1/sfepy/homogenization/coefs_phononic.py000066400000000000000000001117471247364230400241760ustar00rootroot00000000000000import time import numpy as nm import numpy.linalg as nla import scipy as sc from sfepy.base.base import output, get_default, dict_to_struct, assert_, Struct from sfepy.solvers import eig, Solver from sfepy.linalg import norm_l2_along_axis from sfepy.discrete.evaluate import eval_equations from sfepy.homogenization.coefs_base import MiniAppBase, CorrMiniApp from sfepy.homogenization.utils import coor_to_sym def compute_eigenmomenta(em_equation, var_name, problem, eig_vectors, transform=None): """ Compute the eigenmomenta corresponding to given eigenvectors. """ n_dof, n_eigs = eig_vectors.shape equations, variables = problem.create_evaluable(em_equation) var = variables[var_name] n_c = var.n_components eigenmomenta = nm.empty((n_eigs, n_c), dtype=nm.float64) for ii in xrange(n_eigs): if transform is None: vec_phi, is_zero = eig_vectors[:,ii], False else: vec_phi, is_zero = transform(eig_vectors[:,ii], (n_dof / n_c, n_c)) if is_zero: eigenmomenta[ii, :] = 0.0 else: var.set_data(vec_phi.copy()) val = eval_equations(equations, variables) eigenmomenta[ii, :] = val return eigenmomenta def get_ranges(freq_range, eigs): """ Get an eigenvalue range slice and a corresponding initial frequency range within a given frequency range. """ mine, maxe = freq_range ii = nm.where((eigs > (mine**2.)) & (eigs < (maxe**2.)))[0] freq_range_initial = nm.sqrt(eigs[ii]) eig_range = (ii[0], ii[-1] + 1) # +1 as it is a slice. eig_range = slice(*eig_range) return freq_range_initial, eig_range def cut_freq_range(freq_range, eigs, valid, freq_margins, eig_range, fixed_freq_range, freq_eps): """ Cut off masked resonance frequencies. Margins are preserved, like no resonances were cut. Returns ------- freq_range : array The new range of frequencies. freq_range_margins : array The range of frequencies with prepended/appended margins equal to `fixed_freq_range` if it is not None. """ n_eigs = eigs.shape[0] output('masked resonance frequencies in range:') output(nm.where(valid[eig_range] == False)[0]) if fixed_freq_range is None: min_freq, max_freq = freq_range[0], freq_range[-1] margins = freq_margins * (max_freq - min_freq) prev_freq = min_freq - margins[0] next_freq = max_freq + margins[1] if eig_range.start > 0: prev_freq = max(nm.sqrt(eigs[eig_range.start - 1]) + freq_eps, prev_freq) if eig_range.stop < n_eigs: next_freq = min(nm.sqrt(eigs[eig_range.stop]) - freq_eps, next_freq) prev_freq = max(freq_eps, prev_freq) next_freq = max(freq_eps, next_freq, prev_freq + freq_eps) else: prev_freq, next_freq = fixed_freq_range freq_range = freq_range[valid[eig_range]] freq_range_margins = nm.r_[prev_freq, freq_range, next_freq] return freq_range, freq_range_margins def split_chunks(indx): """Split index vector to chunks of consecutive numbers.""" if not len(indx): return [] delta = nm.ediff1d(indx, to_end=2) ir = nm.where(delta > 1)[0] chunks = [] ic0 = 0 for ic in ir: chunk = indx[ic0:ic+1] ic0 = ic + 1 chunks.append(chunk) return chunks def get_log_freqs(f0, f1, df, freq_eps, n_point_min, n_point_max): """ Get logging frequencies. The frequencies get denser towards the interval boundaries. """ f_delta = f1 - f0 f_mid = 0.5 * (f0 + f1) if (f1 - f0) > (2.0 * freq_eps): num = min(n_point_max, max(n_point_min, (f1 - f0) / df)) a = nm.linspace(0., 1., num) log_freqs = f0 + freq_eps \ + 0.5 * (nm.sin((a - 0.5) * nm.pi) + 1.0) \ * (f1 - f0 - 2.0 * freq_eps) else: log_freqs = nm.array([f_mid - 1e-8 * f_delta, f_mid + 1e-8 * f_delta]) return log_freqs def detect_band_gaps(mass, freq_info, opts, gap_kind='normal', mtx_b=None): """ Detect band gaps given solution to eigenproblem (eigs, eig_vectors). Only valid resonance frequencies (e.i. those for which corresponding eigenmomenta are above a given threshold) are taken into account. Notes ----- - make freq_eps relative to ]f0, f1[ size? """ output('eigensolver:', opts.eigensolver) fm = freq_info.freq_range_margins min_freq, max_freq = fm[0], fm[-1] output('freq. range with margins: [%8.3f, %8.3f]' % (min_freq, max_freq)) df = opts.freq_step * (max_freq - min_freq) fz_callback = get_callback(mass.evaluate, opts.eigensolver, mtx_b=mtx_b, mode='find_zero') trace_callback = get_callback(mass.evaluate, opts.eigensolver, mtx_b=mtx_b, mode='trace') n_col = 1 + (mtx_b is not None) logs = [[] for ii in range(n_col + 1)] gaps = [] for ii in xrange(freq_info.freq_range.shape[0] + 1): f0, f1 = fm[[ii, ii+1]] output('interval: ]%.8f, %.8f[...' % (f0, f1)) log_freqs = get_log_freqs(f0, f1, df, opts.freq_eps, 100, 1000) output('n_logged: %d' % log_freqs.shape[0]) log_mevp = [[] for ii in range(n_col)] for f in log_freqs: for ii, data in enumerate(trace_callback(f)): log_mevp[ii].append(data) # Get log for the first and last f in log_freqs. lf0 = log_freqs[0] lf1 = log_freqs[-1] log0, log1 = log_mevp[0][0], log_mevp[0][-1] min_eig0 = log0[0] max_eig1 = log1[-1] if gap_kind == 'liquid': mevp = nm.array(log_mevp, dtype=nm.float64).squeeze() si = nm.where(mevp[:,0] < 0.0)[0] li = nm.where(mevp[:,-1] < 0.0)[0] wi = nm.setdiff1d(si, li) if si.shape[0] == 0: # No gaps. gap = ([2, lf0, log0[0]], [2, lf0, log0[-1]]) gaps.append(gap) elif li.shape[0] == mevp.shape[0]: # Full interval strong gap. gap = ([1, lf1, log1[0]], [1, lf1, log1[-1]]) gaps.append(gap) else: subgaps = [] for chunk in split_chunks(li): # Strong gaps. i0, i1 = chunk[0], chunk[-1] fmin, fmax = log_freqs[i0], log_freqs[i1] gap = ([1, fmin, mevp[i0,-1]], [1, fmax, mevp[i1,-1]]) subgaps.append(gap) for chunk in split_chunks(wi): # Weak gaps. i0, i1 = chunk[0], chunk[-1] fmin, fmax = log_freqs[i0], log_freqs[i1] gap = ([0, fmin, mevp[i0,-1]], [2, fmax, mevp[i1,-1]]) subgaps.append(gap) gaps.append(subgaps) else: if min_eig0 > 0.0: # No gaps. gap = ([2, lf0, log0[0]], [2, lf0, log0[-1]]) elif max_eig1 < 0.0: # Full interval strong gap. gap = ([1, lf1, log1[0]], [1, lf1, log1[-1]]) else: llog_freqs = list(log_freqs) # Insert fmin, fmax into log. output('finding zero of the largest eig...') smax, fmax, vmax = find_zero(lf0, lf1, fz_callback, opts.freq_eps, opts.zero_eps, 1) im = nm.searchsorted(log_freqs, fmax) llog_freqs.insert(im, fmax) for ii, data in enumerate(trace_callback(fmax)): log_mevp[ii].insert(im, data) output('...done') if smax in [0, 2]: output('finding zero of the smallest eig...') # having fmax instead of f0 does not work if freq_eps is # large. smin, fmin, vmin = find_zero(lf0, lf1, fz_callback, opts.freq_eps, opts.zero_eps, 0) im = nm.searchsorted(log_freqs, fmin) # +1 due to fmax already inserted before. llog_freqs.insert(im+1, fmin) for ii, data in enumerate(trace_callback(fmin)): log_mevp[ii].insert(im+1, data) output('...done') elif smax == 1: smin = 1 # both are negative everywhere. fmin, vmin = fmax, vmax gap = ([smin, fmin, vmin], [smax, fmax, vmax]) log_freqs = nm.array(llog_freqs) output(gap[0]) output(gap[1]) gaps.append(gap) logs[0].append(log_freqs) for ii, data in enumerate(log_mevp): logs[ii+1].append(nm.array(data, dtype = nm.float64)) output('...done') kinds = describe_gaps(gaps) slogs = Struct(freqs=logs[0], eigs=logs[1]) if n_col == 2: slogs.eig_vectors = logs[2] return slogs, gaps, kinds def get_callback(mass, method, mtx_b=None, mode='trace'): """ Return callback to solve band gaps or dispersion eigenproblem P. Notes ----- Find zero callbacks return: eigenvalues Trace callbacks return: (eigenvalues,) or (eigenvalues, eigenvectors) (in full (dispoersion) mode) If `mtx_b` is None, the problem P is M w = \lambda w, otherwise it is omega^2 M w = \eta B w""" def find_zero_callback(f): meigs = eig(mass(f), eigenvectors=False, method=method) return meigs def find_zero_full_callback(f): meigs = eig((f**2) * mass(f), mtx_b=mtx_b, eigenvectors=False, method=method) return meigs def trace_callback(f): meigs = eig(mass(f), eigenvectors=False, method=method) return meigs, def trace_full_callback(f): meigs, mvecs = eig((f**2) * mass(f), mtx_b=mtx_b, eigenvectors=True, method=method) return meigs, mvecs if mtx_b is not None: mode += '_full' return eval(mode + '_callback') def find_zero(f0, f1, callback, freq_eps, zero_eps, mode): """ For f \in ]f0, f1[ find frequency f for which either the smallest (`mode` = 0) or the largest (`mode` = 1) eigenvalue of problem P given by `callback` is zero. Returns ------- flag : 0, 1, or 2 The flag, see Notes below. frequency : float The found frequency. eigenvalue : float The eigenvalue corresponding to the found frequency. Notes ----- Meaning of the return value combinations: ===== ====== ======== mode flag meaning ===== ====== ======== 0, 1 0 eigenvalue -> 0 for f \in ]f0, f1[ 0 1 f -> f1, smallest eigenvalue < 0 0 2 f -> f0, smallest eigenvalue > 0 and -> -\infty 1 1 f -> f1, largest eigenvalue < 0 and -> +\infty 1 2 f -> f0, largest eigenvalue > 0 ===== ====== ======== """ fm, fp = f0, f1 ieig = {0 : 0, 1 : -1}[mode] while 1: f = 0.5 * (fm + fp) meigs = callback(f) val = meigs[ieig] ## print f, f0, f1, fm, fp, val ## print '%.16e' % f, '%.16e' % fm, '%.16e' % fp, '%.16e' % val if ((abs(val) < zero_eps) or ((fp - fm) < (abs(fm) * nm.finfo(float).eps))): return 0, f, val if mode == 0: if (f - f0) < freq_eps: return 2, f0, val elif (f1 - f) < freq_eps: return 1, f1, val elif mode == 1: if (f1 - f) < freq_eps: return 1, f1, val elif (f - f0) < freq_eps: return 2, f0, val if val > 0.0: fp = f else: fm = f def describe_gaps(gaps): kinds = [] for ii, gap in enumerate(gaps): if isinstance(gap, list): subkinds = [] for gmin, gmax in gap: if (gmin[0] == 2) and (gmax[0] == 2): kind = ('p', 'propagation zone') elif (gmin[0] == 1) and (gmax[0] == 1): kind = ('is', 'inner strong band gap') elif (gmin[0] == 0) and (gmax[0] == 2): kind = ('iw', 'inner weak band gap') subkinds.append(kind) kinds.append(subkinds) else: gmin, gmax = gap if (gmin[0] == 2) and (gmax[0] == 2): kind = ('p', 'propagation zone') elif (gmin[0] == 1) and (gmax[0] == 2): kind = ('w', 'full weak band gap') elif (gmin[0] == 0) and (gmax[0] == 2): kind = ('wp', 'weak band gap + propagation zone') elif (gmin[0] == 1) and (gmax[0] == 1): kind = ('s', 'full strong band gap (due to end of freq.' ' range or too large thresholds)') elif (gmin[0] == 1) and (gmax[0] == 0): kind = ('sw', 'strong band gap + weak band gap') elif (gmin[0] == 0) and (gmax[0] == 0): kind = ('swp', 'strong band gap + weak band gap +' ' propagation zone') else: msg = 'impossible band gap combination: %d, %d' % (gmin, gmax) raise ValueError(msg) kinds.append(kind) return kinds def compute_cat_sym_sym(coef, iw_dir): """ Christoffel acoustic tensor (part) of elasticity tensor dimension. """ dim = iw_dir.shape[0] cat = nm.zeros((dim, dim), dtype=nm.float64) for ii in range(dim): for ij in range(dim): ir = coor_to_sym(ii, ij, dim) for ik in range(dim): for il in range(dim): ic = coor_to_sym(ik, il, dim) cat[ii,ik] += coef[ir,ic] * iw_dir[ij] * iw_dir[il] return cat def compute_cat_dim_sym(coef, iw_dir): """ Christoffel acoustic tensor part of piezo-coupling tensor dimension. """ dim = iw_dir.shape[0] cat = nm.zeros((dim,), dtype=nm.float64) for ii in range(dim): for ij in range(dim): ir = coor_to_sym(ii, ij, dim) for ik in range(dim): cat[ii] += coef[ik,ir] * iw_dir[ij] * iw_dir[ik] return cat def compute_cat_dim_dim(coef, iw_dir): """ Christoffel acoustic tensor part of dielectric tensor dimension. """ cat = nm.dot(nm.dot(coef, iw_dir), iw_dir) return cat class SimpleEVP(CorrMiniApp): """ Simple eigenvalue problem. """ def process_options(self): get = self.options.get return Struct(eigensolver=get('eigensolver', 'eig.sgscipy'), elasticity_contrast=get('elasticity_contrast', 1.0), scale_epsilon=get('scale_epsilon', 1.0), save_eig_vectors=get('save_eig_vectors', (0, 0))) def __call__(self, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options problem.set_equations(self.equations) problem.select_bcs(ebc_names=self.ebcs, epbc_names=self.epbcs, lcbc_names=self.get('lcbcs', [])) problem.update_materials(problem.ts) self.init_solvers(problem) mtx_a, mtx_m, data = self.prepare_matrices(problem) output('computing resonance frequencies...') tt = [0] if isinstance(mtx_a, sc.sparse.spmatrix): mtx_a = mtx_a.toarray() if isinstance(mtx_m, sc.sparse.spmatrix): mtx_m = mtx_m.toarray() eigs, mtx_s_phi = eig(mtx_a, mtx_m, return_time=tt, method=opts.eigensolver) eigs[eigs<0.0] = 0.0 output('...done in %.2f s' % tt[0]) output('original eigenfrequencies:') output(eigs) opts = self.app_options epsilon2 = opts.scale_epsilon * opts.scale_epsilon eigs_rescaled = (opts.elasticity_contrast / epsilon2) * eigs output('rescaled eigenfrequencies:') output(eigs_rescaled) output('number of eigenfrequencies: %d' % eigs.shape[0]) try: assert_(nm.isfinite(eigs).all()) except ValueError: from sfepy.base.base import debug; debug() mtx_phi, eig_vectors = self.post_process(eigs, mtx_s_phi, data, problem) self.save(eigs, mtx_phi, problem) evp = Struct(name='evp', eigs=eigs, eigs_rescaled=eigs_rescaled, eig_vectors=eig_vectors) return evp def prepare_matrices(self, problem): mtx_a = problem.evaluate(self.equations['lhs'], mode='weak', auto_init=True, dw_mode='matrix') mtx_m = problem.evaluate(self.equations['rhs'], mode='weak', dw_mode='matrix') return mtx_a, mtx_m, None def post_process(self, eigs, mtx_s_phi, data, problem): n_eigs = eigs.shape[0] variables = problem.get_variables() mtx_phi = nm.empty((variables.di.ptr[-1], mtx_s_phi.shape[1]), dtype=nm.float64) make_full = variables.make_full_vec for ii in xrange(n_eigs): mtx_phi[:,ii] = make_full(mtx_s_phi[:,ii]) return mtx_phi, mtx_phi def save(self, eigs, mtx_phi, problem): save = self.app_options.save_eig_vectors n_eigs = eigs.shape[0] out = {} state = problem.create_state() for ii in xrange(n_eigs): if (ii >= save[0]) and (ii < (n_eigs - save[1])): continue state.set_full(mtx_phi[:,ii], force=True) aux = state.create_output_dict() for name, val in aux.iteritems(): out[name+'%03d' % ii] = val if self.post_process_hook is not None: out = self.post_process_hook(out, problem, mtx_phi) problem.domain.mesh.write(self.save_name + '.vtk', io='auto', out=out) fd = open(self.save_name + '_eigs.txt', 'w') eigs.tofile(fd, ' ') fd.close() class SchurEVP(SimpleEVP): """ Schur complement eigenvalue problem. """ def prepare_matrices(self, problem): """ A = K + B^T D^{-1} B """ equations = problem.equations mtx = equations.eval_tangent_matrices(None, problem.mtx_a, by_blocks=True) ls = Solver.any_from_conf(problem.ls_conf, presolve=True, mtx=mtx['D']) mtx_b, mtx_m = mtx['B'], mtx['M'] mtx_dib = nm.empty(mtx_b.shape, dtype=mtx_b.dtype) for ic in xrange(mtx_b.shape[1]): mtx_dib[:,ic] = ls(mtx_b[:,ic].toarray().squeeze()) mtx_a = mtx['K'] + mtx_b.T * mtx_dib return mtx_a, mtx_m, mtx_dib def post_process(self, eigs, mtx_s_phi, mtx_dib, problem): n_eigs = eigs.shape[0] variables = problem.get_variables() mtx_phi = nm.empty((variables.di.ptr[-1], mtx_s_phi.shape[1]), dtype=nm.float64) make_full = variables.make_full_vec # Update also eliminated variables. schur = self.app_options.schur primary_var = schur['primary_var'] eliminated_var = schur['eliminated_var'] mtx_s_phi_schur = - sc.dot(mtx_dib, mtx_s_phi) aux = nm.empty((variables.adi.ptr[-1],), dtype=nm.float64) set = variables.set_state_part for ii in xrange(n_eigs): set(aux, mtx_s_phi[:,ii], primary_var, stripped=True) set(aux, mtx_s_phi_schur[:,ii], eliminated_var, stripped=True) mtx_phi[:,ii] = make_full(aux) indx = variables.get_indx(primary_var) eig_vectors = mtx_phi[indx,:] return mtx_phi, eig_vectors class DensityVolumeInfo(MiniAppBase): """ Determine densities of regions specified in `region_to_material`, and compute average density based on region volumes. """ def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) vf = data[self.requires[0]] average_density = 0.0 total_volume = 0.0 volumes = {} densities = {} for region_name, aux in self.region_to_material.iteritems(): vol = vf['volume_' + region_name] mat_name, item_name = aux conf = problem.conf.get_item_by_name('materials', mat_name) density = conf.values[item_name] output('region %s: volume %f, density %f' % (region_name, vol, density)) volumes[region_name] = vol densities[region_name] = density average_density += vol * density total_volume += vol true_volume = self._get_volume(volume) assert_(abs(total_volume - true_volume) / true_volume < 1e-12) output('total volume:', true_volume) average_density /= true_volume return Struct(name='density_volume_info', average_density=average_density, total_volume=total_volume, volumes=volumes, densities=densities, to_file_txt=self.to_file_txt) @staticmethod def to_file_txt(fd, float_format, dv_info): ff = float_format + '\n' fd.write('total volume:\n') fd.write(ff % dv_info.total_volume) fd.write('average density:\n') fd.write(ff % dv_info.average_density) for key, val in dv_info.volumes.iteritems(): fd.write('%s volume:\n' % key) fd.write(ff % val) fd.write('%s density:\n' % key) fd.write(ff % dv_info.densities[key]) class Eigenmomenta(MiniAppBase): """ Eigenmomenta corresponding to eigenvectors. Parameters ---------- var_name : str The name of the variable used in the integral. threshold : float The threshold under which an eigenmomentum is considered zero. threshold_is_relative : bool If True, the `threshold` is relative w.r.t. max. norm of eigenmomenta. transform : callable, optional Optional function for transforming the eigenvectors before computing the eigenmomenta. Returns ------- eigenmomenta : Struct The resulting eigenmomenta. An eigenmomentum above threshold is marked by the attribute 'valid' set to True. """ def process_options(self): options = dict_to_struct(self.options) get = options.get return Struct(var_name=get('var_name', None, 'missing "var_name" in options!'), threshold=get('threshold', 1e-4), threshold_is_relative=get('threshold_is_relative', True), transform=get('transform', None)) def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options evp, dv_info = [data[ii] for ii in self.requires] output('computing eigenmomenta...') if opts.transform is not None: fun = problem.conf.get_function(opts.transform[0]) def wrap_transform(vec, shape): return fun(vec, shape, *opts.eig_vector_transform[1:]) else: wrap_transform = None tt = time.clock() eigenmomenta = compute_eigenmomenta(self.expression, opts.var_name, problem, evp.eig_vectors, wrap_transform) output('...done in %.2f s' % (time.clock() - tt)) n_eigs = evp.eigs.shape[0] mag = norm_l2_along_axis(eigenmomenta) if opts.threshold_is_relative: tol = opts.threshold * mag.max() else: tol = opts.threshold valid = nm.where(mag < tol, False, True) mask = nm.where(valid == False)[0] eigenmomenta[mask, :] = 0.0 n_zeroed = mask.shape[0] output('%d of %d eigenmomenta zeroed (under %.2e)'\ % (n_zeroed, n_eigs, tol)) out = Struct(name='eigenmomenta', n_zeroed=n_zeroed, eigenmomenta=eigenmomenta, valid=valid, to_file_txt=None) return out class AcousticMassTensor(MiniAppBase): """ The acoustic mass tensor for a given frequency. Returns ------- self : AcousticMassTensor instance This class instance whose `evaluate()` method computes for a given frequency the required tensor. Notes ----- `eigenmomenta`, `eigs` should contain only valid resonances. """ to_file_txt = None def __call__(self, volume=None, problem=None, data=None): evp, self.dv_info, ema = [data[ii] for ii in self.requires] self.eigs = evp.eigs[ema.valid] self.eigenmomenta = ema.eigenmomenta[ema.valid, :] return self def evaluate(self, freq): ema = self.eigenmomenta n_c = ema.shape[1] fmass = nm.zeros((n_c, n_c), dtype=nm.float64) num, denom = self.get_coefs(freq) de = 1.0 / denom if not nm.isfinite(de).all(): raise ValueError('frequency %e too close to resonance!' % freq) for ir in range(n_c): for ic in range(n_c): if ir <= ic: val = nm.sum(num * de * (ema[:, ir] * ema[:, ic])) fmass[ir, ic] += val else: fmass[ir, ic] = fmass[ic, ir] eye = nm.eye(n_c, n_c, dtype=nm.float64) mtx_mass = (eye * self.dv_info.average_density) \ - (fmass / self.dv_info.total_volume) return mtx_mass def get_coefs(self, freq): """ Get frequency-dependent coefficients. """ f2 = freq*freq de = f2 - self.eigs return f2, de class AcousticMassLiquidTensor(AcousticMassTensor): def get_coefs(self, freq): """ Get frequency-dependent coefficients. """ eigs = self.eigs f2 = freq*freq aux = (f2 - self.gamma * eigs) num = f2 * aux denom = aux*aux + f2*(self.eta*self.eta)*nm.power(eigs, 2.0) return num, denom class AppliedLoadTensor(AcousticMassTensor): """ The applied load tensor for a given frequency. Returns ------- self : AppliedLoadTensor instance This class instance whose `evaluate()` method computes for a given frequency the required tensor. Notes ----- `eigenmomenta`, `ueigenmomenta`, `eigs` should contain only valid resonances. """ to_file_txt = None def __call__(self, volume=None, problem=None, data=None): evp, self.dv_info, ema, uema = [data[ii] for ii in self.requires] self.eigs = evp.eigs[ema.valid] self.eigenmomenta = ema.eigenmomenta[ema.valid, :] self.ueigenmomenta = uema.eigenmomenta[uema.valid, :] return self def evaluate(self, freq): ema, uema = self.eigenmomenta, self.ueigenmomenta n_c = ema.shape[1] fload = nm.zeros((n_c, n_c), dtype=nm.float64) num, denom = self.get_coefs(freq) de = 1.0 / denom if not nm.isfinite(de).all(): raise ValueError('frequency %e too close to resonance!' % freq) for ir in range(n_c): for ic in range(n_c): val = nm.sum(num * de * (ema[:, ir] * uema[:, ic])) fload[ir, ic] += val eye = nm.eye(n_c, n_c, dtype=nm.float64) mtx_load = eye - (fload / self.dv_info.total_volume) return mtx_load class BandGaps(MiniAppBase): """ Band gaps detection. Parameters ---------- eigensolver : str The name of the eigensolver for mass matrix eigenvalues. eig_range : (int, int) The eigenvalues range (squared frequency) to consider. freq_margins : (float, float) Margins in percents of initial frequency range given by `eig_range` by which the range is increased. fixed_freq_range : (float, float) The frequency range to consider. Has precedence over `eig_range` and `freq_margins`. freq_step : float The frequency step for tracing, in percent of the frequency range. freq_eps : float The frequency difference smaller than `freq_eps` is considered zero. zero_eps : float The tolerance for finding zeros of mass matrix eigenvalues. detect_fun : callable The function for detecting the band gaps. Default is :func:`detect_band_gaps()`. log_save_name : str If not None, the band gaps log is to be saved under the given name. """ def process_options(self): get = self.options.get freq_margins = get('freq_margins', (5, 5)) # Given per cent. freq_margins = 0.01 * nm.array(freq_margins, dtype=nm.float64) # Given in per cent. freq_step = 0.01 * get('freq_step', 5) return Struct(eigensolver=get('eigensolver', 'eig.sgscipy'), eig_range=get('eig_range', None), freq_margins=freq_margins, fixed_freq_range=get('fixed_freq_range', None), freq_step=freq_step, freq_eps=get('freq_eps', 1e-8), zero_eps=get('zero_eps', 1e-8), detect_fun=get('detect_fun', detect_band_gaps), log_save_name=get('log_save_name', None)) def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options evp, ema, mass = [data[ii] for ii in self.requires[:3]] if len(self.requires) == 4: mtx_b = data[self.requires[3]] else: mtx_b = None eigs = evp.eigs self.fix_eig_range(eigs.shape[0]) if opts.fixed_freq_range is not None: (freq_range_initial, opts.eig_range) = get_ranges(opts.fixed_freq_range, eigs) else: opts.eig_range = slice(*opts.eig_range) freq_range_initial = nm.sqrt(eigs[opts.eig_range]) output('initial freq. range : [%8.3f, %8.3f]' % tuple(freq_range_initial[[0, -1]])) aux = cut_freq_range(freq_range_initial, eigs, ema.valid, opts.freq_margins, opts.eig_range, opts.fixed_freq_range, opts.freq_eps) freq_range, freq_range_margins = aux if len(freq_range): output('freq. range : [%8.3f, %8.3f]' % tuple(freq_range[[0, -1]])) else: # All masked. output('freq. range : all masked!') freq_info = Struct(name='freq_info', freq_range_initial=freq_range_initial, freq_range=freq_range, freq_range_margins=freq_range_margins) logs, gaps, kinds = opts.detect_fun(mass, freq_info, opts, mtx_b=mtx_b) bg = Struct(name='band_gaps', logs=logs, gaps=gaps, kinds=kinds, valid=ema.valid, eig_range=opts.eig_range, n_eigs=eigs.shape[0], n_zeroed=ema.n_zeroed, freq_range_initial=freq_info.freq_range_initial, freq_range=freq_info.freq_range, freq_range_margins=freq_info.freq_range_margins, opts=opts, to_file_txt=self.to_file_txt, log_save_name=opts.log_save_name, save_log=self.save_log) return bg def fix_eig_range(self, n_eigs): eig_range = get_default(self.app_options.eig_range, (0, n_eigs)) if eig_range[-1] < 0: eig_range[-1] += n_eigs + 1 assert_(eig_range[0] < (eig_range[1] - 1)) assert_(eig_range[1] <= n_eigs) self.app_options.eig_range = eig_range @staticmethod def to_file_txt(fd, float_format, bg): if bg.log_save_name is not None: fd.write(bg.log_save_name + '\n') else: fd.write('--\n') @staticmethod def save_log(filename, float_format, bg): """ Save band gaps, valid flags and eigenfrequencies. """ fd = open(filename, 'w') freq_range = bg.freq_range_margins fd.write('n_zeroed: %d\n' % bg.n_zeroed) fd.write('n_eigs: %d\n' % bg.n_eigs) fd.write('f0 f1 flag_min f_min v_min flag_max f_max v_max' ' kind\ndesc\n') ff = float_format format = "%s %s %%d %s %s %%d %s %s %%s\n%%s\n" % (6 * (ff,)) n_row = len(freq_range) - 1 fd.write('%d\n' % n_row) for ir in xrange(n_row): f0, f1 = freq_range[[ir, ir+1]] gmin, gmax = bg.gaps[ir] fd.write(format % ((f0, f1) + tuple(gmin) + tuple(gmax) + bg.kinds[ir])) fd.write('valid resonance\n') freq_range = bg.freq_range_initial n_row = len(freq_range) fd.write('%d\n' % n_row) valid_in_range = bg.valid[bg.eig_range] format = "%%d %s\n" % ff for ir in xrange(n_row): fd.write(format % (valid_in_range[ir], freq_range[ir])) fd.close() class ChristoffelAcousticTensor(MiniAppBase): def process_options(self): get = self.options.get return Struct(mode=get('mode', 'simple'), incident_wave_dir=get('incident_wave_dir', None)) r""" Compute Christoffel acoustic tensor (cat) given the incident wave direction (unit vector). Parameters ---------- mode : 'simple' or 'piezo' The call mode. incident_wave_dir : array The incident wave direction vector. Returns ------- cat : array The Christoffel acoustic tensor. Notes ----- - If mode == 'simple', only the elasticity tensor :math:`C_{ijkl}` is used and cat := :math:`\Gamma_{ik} = C_{ijkl} n_j n_l`. - If mode == 'piezo', also the piezo-coupling :math:`G_{ijk}` and dielectric :math:`D_{ij}` tensors are used and cat := :math:`H_{ik} = \Gamma_{ik} + \frac{1}{\xi} \gamma_i \gamma_j`, where :math:`\gamma_i = G_{kij} n_j n_k`, :math:`\xi = D_{kl} n_k n_l`. """ def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options iw_dir = nm.array(opts.incident_wave_dir, dtype=nm.float64) dim = problem.get_dim() assert_(dim == iw_dir.shape[0]) iw_dir = iw_dir / nla.norm(iw_dir) elastic = data[self.requires[0]] cat = compute_cat_sym_sym(elastic, iw_dir) if opts.mode =='piezo': dielectric, coupling = [data[ii] for ii in self.requires[1:]] xi = compute_cat_dim_dim(dielectric, iw_dir) gamma = compute_cat_dim_sym(coupling, iw_dir) cat += nm.outer(gamma, gamma) / xi return cat class PolarizationAngles(MiniAppBase): """ Compute polarization angles, i.e., angles between incident wave direction and wave vectors. Vector length does not matter - eigenvectors are used directly. """ def process_options(self): get = self.options.get return Struct(incident_wave_dir=get('incident_wave_dir', None)) def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options iw_dir = nm.array(opts.incident_wave_dir, dtype=nm.float64) dim = problem.get_dim() assert_(dim == iw_dir.shape[0]) iw_dir = iw_dir / nla.norm(iw_dir) dispersion = data[self.requires[0]] wave_vectors = dispersion.logs.eig_vectors pas = [] iw_dir = iw_dir / nla.norm(iw_dir) idims = range(iw_dir.shape[0]) pi2 = 0.5 * nm.pi for vecs in wave_vectors: pa = nm.empty(vecs.shape[:-1], dtype=nm.float64) for ir, vec in enumerate(vecs): for ic in idims: vv = vec[:,ic] # Ensure the angle is in [0, pi/2]. val = nm.arccos(nm.dot(iw_dir, vv) / nla.norm(vv)) if val > pi2: val = nm.pi - val pa[ir,ic] = val pas.append(pa) return pas class PhaseVelocity(MiniAppBase): """ Compute phase velocity. """ def process_options(self): get = self.options.get return Struct(eigensolver=get('eigensolver', 'eig.sgscipy')) def __call__(self, volume=None, problem=None, data=None): problem = get_default(problem, self.problem) opts = self.app_options dv_info, cat = [data[ii] for ii in self.requires] output('average density:', dv_info.average_density) dim = problem.get_dim() eye = nm.eye(dim, dim, dtype=nm.float64) mtx_mass = eye * dv_info.average_density meigs, mvecs = eig(mtx_mass, mtx_b=cat, eigenvectors=True, method=opts.eigensolver) phase_velocity = 1.0 / nm.sqrt(meigs) return phase_velocity sfepy-release_2015.1/sfepy/homogenization/convolutions.py000066400000000000000000000102531247364230400237320ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import pause, Struct from sfepy.homogenization.utils import integrate_in_time def compute_mean_decay(coef): r""" Compute mean decay approximation of a non-scalar fading memory coefficient. """ n_step = coef.shape[0] weights = nm.abs(coef[int(nm.fix(n_step / 2))]) weights /= weights.sum() ## coef_flat = nm.reshape(coef, (n_step, nm.prod(coef.shape[1:]))) ## maxs = nm.abs(coef_flat).max(axis=-1) ## decay = avgs + maxs aux = weights[None,...] * coef aux_flat = nm.reshape(aux, (n_step, nm.prod(coef.shape[1:]))) avgs = aux_flat.sum(axis=-1) decay = avgs # Gives better results than the above. decay /= decay[0] return decay def eval_exponential(coefs, x): c1, c2 = coefs return c1 * nm.exp(-c2 * x) def approximate_exponential(x, y): r""" Approximate :math:`y = f(x)` by :math:`y_a = c_1 exp(- c_2 x)`. Initial guess is given by assuming y has already the required exponential form. """ from scipy.optimize import leastsq ## weights = nm.abs(y) ## weights = weights / weights.sum() weights = nm.ones_like(y) def fun(c, x, y): val = weights * (y - eval_exponential(c, x)) return val c1 = y[0] c2 = - nm.log(y[1] / c1) / (x[1] - x[0]) coefs, ier = leastsq(fun, nm.array([c1, c2]), args=(x, y)) if ier != 1: print c1, c2 print coefs, ier pause('exponential fit failed!') return coefs def fit_exponential(x, y, return_coefs=False): """ Evaluate :math:`y = f(x)` after approximating :math:`f` by an exponential. """ coefs = approximate_exponential(x, y) if return_coefs: return coefs, eval_exponential(coefs, x) else: return eval_exponential(coefs, x) class ConvolutionKernel(Struct): r""" The convolution kernel with exponential synchronous decay approximation approximating the original kernel represented by the array :math:`c[i]`, :math:`i = 0, 1, \dots`. .. math:: \begin{split} & c_0 \equiv c[0] \;, c_{e0} \equiv c_0 c^e_0 \;, \\ & c(t) \approx c_0 d(t) \approx c_0 e(t) = c_{e0} e_n(t) \;, \end{split} where :math:`d(0) = e_n(0) = 1`, :math:`d` is the synchronous decay and :math:`e` its exponential approximation, :math:`e = c^e_0 exp(-c^e_1 t)`. """ def __init__(self, name, times, kernel, decay=None, exp_coefs=None, exp_decay=None): Struct.__init__(self, name=name, times=times, c=kernel, d=decay, ec=exp_coefs, e=exp_decay) if decay is None: self.d = compute_mean_decay(kernel) if exp_decay is None: self.ec, self.e = fit_exponential(times, self.d, return_coefs=True) self.en = self.e / self.e[0] self.c0 = self.c[0] self.e_c0 = self.c0 * self.e[0] self.e_d1 = self.e[1] / self.e[0] self.c_slice = (slice(None),) + ((None,) * (self.c.ndim - 1)) def diff_dt(self, use_exp=False): """ The derivative of the kernel w.r.t. time. """ if use_exp: val = - self.ec[1] * self.c0 * self.e[self.c_slice] else: zz = nm.zeros(self.c[0:1].shape, dtype=self.c.dtype) val = nm.r_[nm.diff(self.c, axis=0) / nm.diff(self.times, axis=0)[self.c_slice], zz] return val def int_dt(self, use_exp=False): """ The integral of the kernel in time. """ if use_exp: val = (self.e_c0/self.ec[1]) * (1.0 - self.en[-1]) else: val = integrate_in_time(self.c, self) return val def get_exp(self): """ Get the exponential synchronous decay kernel approximation. """ return self.c0 * self.e[self.c_slice] def get_full(self): """ Get the original (full) kernel. """ return self.c def __call__(self, use_exp=False): """ Get the kernel or its approximation. """ if use_exp: return self.get_exp() else: return self.get_full() sfepy-release_2015.1/sfepy/homogenization/engine.py000066400000000000000000000154621247364230400224440ustar00rootroot00000000000000from copy import copy from sfepy.base.base import output, get_default, Struct from sfepy.applications import PDESolverApp, Application from coefs_base import MiniAppBase def insert_sub_reqs(reqs, levels, req_info): """Recursively build all requirements in correct order.""" all_reqs = [] for _, req in enumerate(reqs): # Coefficients are referenced as 'c.'... areq = req if req.startswith('c.'): areq = req[2:] try: rargs = req_info[areq] except KeyError: raise ValueError('requirement "%s" is not defined!' % req) sub_reqs = rargs.get('requires', []) if req in levels: raise ValueError('circular requirement "%s"!' % (req)) if sub_reqs: levels.append(req) all_reqs.extend(insert_sub_reqs(sub_reqs, levels, req_info)) levels.pop() if req in all_reqs: raise ValueError('circular requirement "%s"!' % (req)) else: all_reqs.append(req) return all_reqs class HomogenizationEngine(PDESolverApp): @staticmethod def process_options(options): get = options.get return Struct(coefs=get('coefs', None, 'missing "coefs" in options!'), requirements=get('requirements', None, 'missing "requirements" in options!'), compute_only=get('compute_only', None), save_format=get('save_format', 'vtk'), dump_format=get('dump_format', 'h5'), coefs_info=get('coefs_info', None)) def __init__(self, problem, options, app_options=None, volume=None, output_prefix='he:', **kwargs): """Bypasses PDESolverApp.__init__()!""" Application.__init__(self, problem.conf, options, output_prefix, **kwargs) self.problem = problem self.setup_options(app_options=app_options) self.setup_output_info(self.problem, self.options) if volume is None: self.volume = self.problem.evaluate(self.app_options.total_volume) else: self.volume = volume def setup_options(self, app_options=None): PDESolverApp.setup_options(self) app_options = get_default(app_options, self.conf.options) po = HomogenizationEngine.process_options self.app_options += po(app_options) def compute_requirements(self, requirements, dependencies, store): problem = self.problem opts = self.app_options req_info = getattr(self.conf, opts.requirements) requires = insert_sub_reqs(copy(requirements), [], req_info) for req in requires: if req in dependencies and (dependencies[req] is not None): continue output('computing dependency %s...' % req) rargs = req_info[req] mini_app = MiniAppBase.any_from_conf(req, problem, rargs) mini_app.setup_output(save_format=opts.save_format, dump_format=opts.dump_format, post_process_hook=self.post_process_hook, file_per_var=opts.file_per_var) store(mini_app) problem.clear_equations() # Pass only the direct dependencies, not the indirect ones. dep_requires = rargs.get('requires', []) data = {} for key in dep_requires: data[key] = dependencies[key] dep = mini_app(data=data) dependencies[req] = dep output('...done') return dependencies def call(self, ret_all=False): problem = self.problem opts = self.app_options coef_info = getattr(self.conf, opts.coefs) compute_names = set(get_default(opts.compute_only, coef_info.keys())) compute_names = ['c.' + key for key in compute_names] is_store_filenames = coef_info.pop('filenames', None) is not None try: compute_names.remove('c.filenames') except: pass dependencies = {} save_names = {} dump_names = {} def store_filenames(app): if not '(not_set)' in app.get_save_name_base(): save_names[app.name] = app.get_save_name_base() if not '(not_set)' in app.get_dump_name_base(): dump_names[app.name] = app.get_dump_name_base() # Some coefficients can require other coefficients - resolve their # order here. req_info = self.conf.get(opts.requirements, {}) info = copy(coef_info) info.update(req_info) all_deps = set(compute_names) sorted_names = [] for coef_name in compute_names: cargs = coef_info[coef_name[2:]] requires = cargs.get('requires', []) deps = insert_sub_reqs(copy(requires), [], info) all_deps.update(deps) aux = [key for key in deps if key.startswith('c.')] + [coef_name] sorted_names.extend(aux) sorted_coef_names = [] for name in sorted_names: if name[2:] not in sorted_coef_names: sorted_coef_names.append(name[2:]) coefs = Struct() for coef_name in sorted_coef_names: cargs = coef_info[coef_name] output('computing %s...' % coef_name) requires = cargs.get('requires', []) requirements = [name for name in requires if not name.startswith('c.')] self.compute_requirements(requirements, dependencies, store_filenames) for name in requires: if name.startswith('c.'): dependencies[name] = getattr(coefs, name[2:]) mini_app = MiniAppBase.any_from_conf(coef_name, problem, cargs) problem.clear_equations() # Pass only the direct dependencies, not the indirect ones. data = {} for key in requires: data[key] = dependencies[key] val = mini_app(self.volume, data=data) setattr(coefs, coef_name, val) output('...done') # remove "auxiliary" coefs for coef_name in sorted_coef_names: cstat = coef_info[coef_name].get('status', 'main') if cstat == 'auxiliary': delattr(coefs, coef_name) # Store filenames of all requirements as a "coefficient". if is_store_filenames: coefs.save_names = save_names coefs.dump_names = dump_names if opts.coefs_info is not None: coefs.info = opts.coefs_info if ret_all: return coefs, dependencies else: return coefs sfepy-release_2015.1/sfepy/homogenization/homogen_app.py000066400000000000000000000111401247364230400234600ustar00rootroot00000000000000import os.path as op import shutil import numpy as nm from sfepy.base.base import output, get_default, Struct from sfepy.homogenization.coefficients import Coefficients from sfepy.homogenization.coefs_base import MiniAppBase from sfepy.homogenization.engine import HomogenizationEngine from sfepy.applications import PDESolverApp class Volume(MiniAppBase): def __call__(self, problem=None): problem = get_default(problem, self.problem) problem.select_variables(self.variables) volume = problem.evaluate(self.expression) return volume def get_volume_from_options(options, problem): volume = {} if hasattr(options, 'volumes') and (options.volumes is not None): for vk, vv in options.volumes.iteritems(): if 'value' in vv: volume[vk] = nm.float64(vv['value']) else: volume[vk] = Volume('volume', problem, vv)() elif hasattr(options, 'volume') and (options.volume is not None): if 'value' in options.volume: vol = nm.float64(options.volume['value']) else: vol = Volume('volume', problem, options.volume)() volume['total'] = vol return volume class HomogenizationApp( HomogenizationEngine ): @staticmethod def process_options(options): """ Application options setup. Sets default values for missing non-compulsory options. """ get = options.get volume = get('volume', None) volumes = get('volumes', None) if volume is None and volumes is None: raise ValueError('missing "volume" in options!') return Struct(print_digits=get('print_digits', 3), float_format=get('float_format', '%8.3e'), coefs_filename=get('coefs_filename', 'coefs'), tex_names=get('tex_names', None), coefs=get('coefs', None, 'missing "coefs" in options!'), requirements=get('requirements', None, 'missing "requirements" in options!'), return_all=get('return_all', False), volume=volume, volumes=volumes) def __init__(self, conf, options, output_prefix, **kwargs): PDESolverApp.__init__(self, conf, options, output_prefix, init_equations=False) self.setup_options() self.cached_coefs = None output_dir = self.problem.output_dir if conf._filename is not None: shutil.copyfile(conf._filename, op.join(output_dir, op.basename(conf._filename))) def setup_options( self ): PDESolverApp.setup_options(self) po = HomogenizationApp.process_options self.app_options += po( self.conf.options ) def call(self, verbose=False, ret_all=None): """ Call the homogenization engine and compute the homogenized coefficients. Parameters ---------- verbose : bool If True, print the computed coefficients. ret_all : bool or None If not None, it can be used to override the 'return_all' option. If True, also the dependencies are returned. Returns ------- coefs : Coefficients instance The homogenized coefficients. dependencies : dict The dependencies, if `ret_all` is True. """ opts = self.app_options ret_all = get_default(ret_all, opts.return_all) volume = get_volume_from_options(opts, self.problem) for vk, vv in volume.iteritems(): output('volume: %s = %.2f' % (vk, vv)) he = HomogenizationEngine( self.problem, self.options, volume = volume ) aux = he( ret_all = ret_all) if ret_all: coefs, dependencies = aux else: coefs = aux coefs = Coefficients( **coefs.to_dict() ) coefs.volume = volume if verbose: prec = nm.get_printoptions()[ 'precision'] if hasattr(opts, 'print_digits'): nm.set_printoptions(precision=opts.print_digits) print coefs nm.set_printoptions(precision=prec) coef_save_name = op.join( opts.output_dir, opts.coefs_filename ) coefs.to_file_hdf5( coef_save_name + '.h5' ) coefs.to_file_txt( coef_save_name + '.txt', opts.tex_names, opts.float_format ) if ret_all: return coefs, dependencies else: return coefs sfepy-release_2015.1/sfepy/homogenization/micmac.py000066400000000000000000000055101247364230400224210ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, Struct from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.homogenization.homogen_app import HomogenizationApp from sfepy.homogenization.coefficients import Coefficients import tables as pt from sfepy.discrete.fem.meshio import HDF5MeshIO import os.path as op def get_homog_coefs_linear(ts, coor, mode, micro_filename=None, regenerate=False, coefs_filename=None): oprefix = output.prefix output.prefix = 'micro:' required, other = get_standard_keywords() required.remove( 'equations' ) conf = ProblemConf.from_file(micro_filename, required, other, verbose=False) if coefs_filename is None: coefs_filename = conf.options.get('coefs_filename', 'coefs') coefs_filename = op.join(conf.options.get('output_dir', '.'), coefs_filename) + '.h5' if not regenerate: if op.exists( coefs_filename ): if not pt.isHDF5File( coefs_filename ): regenerate = True else: regenerate = True if regenerate: options = Struct( output_filename_trunk = None ) app = HomogenizationApp( conf, options, 'micro:' ) coefs = app() if type(coefs) is tuple: coefs = coefs[0] coefs.to_file_hdf5( coefs_filename ) else: coefs = Coefficients.from_file_hdf5( coefs_filename ) out = {} if mode == None: for key, val in coefs.__dict__.iteritems(): out[key] = val elif mode == 'qp': for key, val in coefs.__dict__.iteritems(): if type( val ) == nm.ndarray or type(val) == nm.float64: out[key] = nm.tile( val, (coor.shape[0], 1, 1) ) elif type(val) == dict: for key2, val2 in val.iteritems(): if type(val2) == nm.ndarray or type(val2) == nm.float64: out[key+'_'+key2] = \ nm.tile(val2, (coor.shape[0], 1, 1)) else: out = None output.prefix = oprefix return out def get_correctors_from_file( coefs_filename = 'coefs.h5', dump_names = None ): if dump_names == None: coefs = Coefficients.from_file_hdf5( coefs_filename ) if hasattr( coefs, 'dump_names' ): dump_names = coefs.dump_names else: raise ValueError( ' "filenames" coefficient must be used!' ) out = {} for key, val in dump_names.iteritems(): corr_name = op.split( val )[-1] io = HDF5MeshIO( val+'.h5' ) data = io.read_data( 0 ) dkeys = data.keys() corr = {} for dk in dkeys: corr[dk] = data[dk].data.reshape(data[dk].shape) out[corr_name] = corr return out sfepy-release_2015.1/sfepy/homogenization/recovery.py000066400000000000000000000437471247364230400230440ustar00rootroot00000000000000import os import numpy as nm from sfepy.base.base import get_default, Struct from sfepy.base.ioutils import get_print_info from sfepy.discrete.fem import extend_cell_data from sfepy.homogenization.utils import coor_to_sym from sfepy.base.conf import get_standard_keywords from sfepy.discrete import Problem from sfepy.homogenization.coefficients import Coefficients from sfepy.homogenization.micmac import get_correctors_from_file import os.path as op shared = Struct() # # TODO : interpolate fvars to macro times. ?mid-points? # # TODO : clean-up! # def get_output_suffix(ig, iel, ts, naming_scheme, format, output_format): if output_format != 'h5': if naming_scheme == 'step_iel': suffix = '.'.join( (ts.suffix % ts.step, format % (ig, iel)) ) else: suffix = '.'.join( (format % (ig, iel), ts.suffix % ts.step) ) else: suffix = format % (ig, iel) return suffix def convolve_field_scalar( fvars, pvars, iel, ts ): r""" .. math:: \int_0^t f(t-s) p(s) ds Notes ----- - t is given by step - f: fvars scalar field variables, defined in a micro domain, have shape [step][fmf dims] - p: pvars scalar point variables, a scalar in a point of macro-domain, FMField style have shape [n_step][var dims] """ step0 = max( 0, ts.step - fvars.steps[-1] ) ## print step0, ts.step val = nm.zeros_like( fvars[0] ) for ik in xrange( step0, ts.step + 1 ): ## print ' ', ik, ts.step-ik vf = fvars[ts.step-ik] vp = pvars[ik][iel,0,0,0] val += vf * vp * ts.dt return val def convolve_field_sym_tensor( fvars, pvars, var_name, dim, iel, ts ): r""" .. math:: \int_0^t f^{ij}(t-s) p_{ij}(s) ds Notes ----- - t is given by step - f: fvars field variables, defined in a micro domain, have shape [step][fmf dims] - p: pvars sym. tensor point variables, a scalar in a point of macro-domain, FMField style, have shape [dim, dim][var_name][n_step][var dims] """ step0 = max( 0, ts.step - fvars[0,0][var_name].steps[-1] ) val = nm.zeros_like( fvars[0,0][var_name][0] ) for ik in xrange( step0, ts.step + 1 ): ## print ' ', ik, ts.step-ik for ir in range( dim ): for ic in range( dim ): ii = coor_to_sym( ir, ic, dim ) vf = fvars[ir,ic][var_name][ts.step-ik] vp = pvars[ik][iel,0,ii,0] val += vf * vp * ts.dt return val def add_strain_rs( corrs_rs, strain, vu, dim, iel, out = None ): if out is None: out = nm.zeros_like( corrs_rs[0,0][vu][0] ) for ir in range( dim ): for ic in range( dim ): ii = coor_to_sym( ir, ic, dim ) out += corrs_rs[ir,ic][vu].data * strain[iel,0,ii,0] return out def combine_scalar_grad(corrs, grad, vn, ii, shift_coors=None): r""" .. math:: \eta_k \partial_k^x p or .. math:: (y_k + \eta_k) \partial_k^x p """ dim = grad.shape[2] if shift_coors is None: out = corrs[0][vn].data * grad[ii,0,0,0] for ir in range(1, dim): out += corrs[ir][vn].data * grad[ii,0,ir,0] else: out = (shift_coors[:,0] + corrs[0][vn].data) * grad[ii,0,0,0] for ir in range(1, dim): out += (shift_coors[:,ir] + corrs[ir][vn].data) * grad[ii,0,ir,0] return out def compute_u_corr_steady( corrs_rs, strain, vu, dim, iel ): r""" .. math:: \sum_{ij} \bm{\omega}^{ij}\, e_{ij}(\bm{u}) Notes ----- - iel = element number """ u_corr = add_strain_rs( corrs_rs, strain, vu, dim, iel ) return u_corr def compute_u_corr_time( corrs_rs, dstrains, corrs_pressure, pressures, vu, dim, iel, ts ): r""" .. math:: \sum_{ij} \left[ \int_0^t \bm{\omega}^{ij}(t-s) {\mathrm{d} \over \mathrm{d} s} e_{ij}(\bm{u}(s))\,ds\right] + \int_0^t \widetilde{\bm{\omega}}^P(t-s)\,p(s)\,ds """ u_corr = convolve_field_scalar( corrs_pressure[vu], pressures, iel, ts ) u_corr += convolve_field_sym_tensor( corrs_rs, dstrains, vu, dim, iel, ts ) return u_corr def compute_p_corr_steady( corrs_pressure, pressure, vp, iel ): r""" .. math:: \widetilde\pi^P\,p """ p_corr = corrs_pressure[vp].data * pressure[iel,0,0,0] return p_corr def compute_p_corr_time( corrs_rs, dstrains, corrs_pressure, pressures, vdp, dim, iel, ts ): r""" .. math:: \sum_{ij} \int_0^t {\mathrm{d} \over \mathrm{d} t} \widetilde\pi^{ij}(t-s)\, {\mathrm{d} \over \mathrm{d} s} e_{ij}(\bm{u}(s))\,ds + \int_0^t {\mathrm{d} \over \mathrm{d} t}\widetilde\pi^P(t-s)\,p(s)\,ds """ p_corr = convolve_field_scalar( corrs_pressure[vdp], pressures, iel, ts ) p_corr += convolve_field_sym_tensor( corrs_rs, dstrains, vdp, dim, iel, ts ) return p_corr def compute_u_from_macro(strain, coor, iel, centre=None): r""" Macro-induced displacements. .. math:: e_{ij}^x(\bm{u})\,(y_j - y_j^c) """ n_nod, dim = coor.shape if centre is None: centre = nm.zeros((dim,), dtype=nm.float64) n_nod, dim = coor.shape um = nm.zeros((n_nod * dim,), dtype=nm.float64) for ir in range(dim): for ic in range(dim): ii = coor_to_sym(ir, ic, dim) um[ir::dim] += strain[iel,0,ii,0] * (coor[:,ic] - centre[ic]) return um def compute_p_from_macro(p_grad, coor, iel, centre=None, extdim=0): r""" Macro-induced pressure. .. math:: \partial_j^x p\,(y_j - y_j^c) """ n_nod, dim = coor.shape if centre is None: centre = nm.zeros((dim,), dtype=nm.float64) n_nod, dim = coor.shape pm = nm.zeros((n_nod,), dtype=nm.float64) for ic in range(dim + extdim): pm += p_grad[iel,0,ic,0] * (coor[:,ic] - centre[ic]) return pm ### def compute_micro_u( corrs, strain, vu, dim, out = None ): r""" Micro displacements. .. math:: \bm{u}^1 = \bm{\chi}^{ij}\, e_{ij}^x(\bm{u}^0) """ if out is None: out = nm.zeros_like( corrs[vu+'_00'] ) for ir in range( dim ): for ic in range( dim ): ii = coor_to_sym( ir, ic, dim ) out += corrs[vu+'_%d%d' % (ir, ic)] * strain[ii] return out def compute_stress_strain_u( pb, integral, region, material, vu, data ): var = pb.create_variables([vu])[vu] var.set_data(data) stress = pb.evaluate('ev_cauchy_stress.%s.%s( %s, %s )' % (integral, region, material, vu), verbose=False, mode='el_avg', **{vu : var}) strain = pb.evaluate('ev_cauchy_strain.%s.%s( %s )' % (integral, region, vu), verbose=False, mode='el_avg', **{vu : var}) return extend_cell_data( stress, pb.domain, region ), \ extend_cell_data( strain, pb.domain, region ) def add_stress_p( out, pb, integral, region, vp, data ): var = pb.create_variables([vp])[vp] var.set_data(data) press0 = pb.evaluate('ev_volume_integrate.%s.%s( %s )' \ % (integral, region, vp), verbose=False, mode='el_avg', **{vp : var}) press = extend_cell_data( press0, pb.domain, region ) dim = pb.domain.mesh.dim nn = out.shape[0] for ii in range( nn ): for j in range( dim ): out[ii,0,j,0] += press[ii,0,0,0] def compute_mac_stress_part( pb, integral, region, material, vu, mac_strain ): avgmat = pb.evaluate('ev_integrate_mat.%s.%s( %s, %s )' \ % (integral, region, material, vu), verbose=False, mode='el_avg') return extend_cell_data( nm.dot( avgmat, mac_strain ), pb.domain, region ) ### def recover_bones( problem, micro_problem, region, eps0, ts, strain, dstrains, p_grad, pressures, corrs_permeability, corrs_rs, corrs_time_rs, corrs_pressure, corrs_time_pressure, var_names, naming_scheme = 'step_iel' ): r""" Notes ----- - note that .. math:: \widetilde{\pi}^P is in corrs_pressure -> from time correctors only 'u', 'dp' are needed. """ dim = problem.domain.mesh.dim vu, vp, vn, vpp1, vppp1 = var_names vdp = 'd' + vp variables = micro_problem.create_variables() to_output = variables.state_to_output micro_u, micro_p = variables[vu], variables[vp] micro_coor = micro_u.field.get_coor() nodes_yc = micro_problem.domain.regions['Yc'].vertices join = os.path.join aux = max(problem.domain.shape.n_gr, 2) format = get_print_info( aux, fill = '0' )[1] \ + '_' + get_print_info( problem.domain.mesh.n_el, fill = '0' )[1] for ig, ii, iel in region.iter_cells(): print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel) pressure = pressures[-1][ii,0,0,0] us = corrs_pressure[vu].data * pressure add_strain_rs(corrs_rs, strain, vu, dim, ii, out=us) ut = convolve_field_scalar(corrs_time_pressure[vu], pressures, ii, ts) ut += convolve_field_sym_tensor(corrs_time_rs, dstrains, vu, dim, ii, ts) u1 = us + ut u_mic = compute_u_from_macro(strain, micro_coor, ii ) + u1 ps = corrs_pressure[vp].data * pressure pt = convolve_field_scalar(corrs_time_pressure[vdp], pressures, ii, ts) pt += convolve_field_sym_tensor(corrs_time_rs, dstrains, vdp, dim, ii, ts) ## print us ## print ut ## print ps ## print pt p_hat = ps + pt # \eta_k \partial_k^x p p1 = combine_scalar_grad(corrs_permeability, p_grad, vn, ii) p_hat_e = micro_p.field.extend_dofs(p_hat[:,None], fill_value=0.0) p_mic = compute_p_from_macro(p_grad, micro_coor, ii)[:,None] \ + p_hat_e / eps0 p_mic[nodes_yc] = p1[:,None] ## print u_mic ## print p_mic # (y_k + \eta_k) \partial_k^x p p_aux = combine_scalar_grad(corrs_permeability, p_grad, vn, ii, shift_coors=micro_coor[nodes_yc]) meval = micro_problem.evaluate var_p = variables[vppp1] var_p.set_data(p_aux) dvel_m1 = meval('ev_diffusion_velocity.i1.Yc( m.K, %s )' % vppp1, verbose=False, mode='el_avg', **{vppp1 : var_p}) var_p = variables[vpp1] var_p.set_data(p_hat) dvel_m2 = meval('ev_diffusion_velocity.i1.Ym( m.K, %s )' % vpp1, verbose=False, mode='el_avg', **{vpp1 : var_p}) * eps0 out = {} out.update( to_output( u_mic, var_info = {vu : (True, vu)}, extend = True ) ) out[vp] = Struct(name = 'output_data', mode = 'vertex', data = p_mic, var_name = vp, dofs = micro_p.dofs) aux = extend_cell_data(dvel_m1, micro_problem.domain, 'Yc') out['dvel_m1'] = Struct(name = 'output_data', mode = 'cell', data = aux, dofs = None) aux = extend_cell_data(dvel_m2, micro_problem.domain, 'Ym') out['dvel_m2'] = Struct(name = 'output_data', mode = 'cell', data = aux, dofs = None) suffix = get_output_suffix(ig, iel, ts, naming_scheme, format, micro_problem.output_format) micro_name = micro_problem.get_output_name(extra=suffix) filename = join(problem.output_dir, 'recovered_' + os.path.basename(micro_name)) micro_problem.save_state(filename, out=out, ts=ts) def recover_paraflow( problem, micro_problem, region, ts, strain, dstrains, pressures1, pressures2, corrs_rs, corrs_time_rs, corrs_alpha1, corrs_time_alpha1, corrs_alpha2, corrs_time_alpha2, var_names, naming_scheme = 'step_iel' ): dim = problem.domain.mesh.dim vu, vp = var_names vdp = 'd' + vp micro_u = micro_problem.variables[vu] micro_coor = micro_u.field.get_coor() micro_p = micro_problem.variables[vp] nodes_y1 = micro_problem.domain.regions['Y1'].vertices nodes_y2 = micro_problem.domain.regions['Y2'].vertices to_output = micro_problem.variables.state_to_output join = os.path.join aux = max(problem.domain.shape.n_gr, 2) format = get_print_info( aux, fill = '0' )[1] \ + '_' + get_print_info( problem.domain.mesh.n_el, fill = '0' )[1] for ig, ii, iel in region.iter_cells(): print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel) p1, p2 = pressures1[-1][ii,0,0,0], pressures2[-1][ii,0,0,0] us = corrs_alpha1[vu].data * p1 + corrs_alpha2[vu].data * p2 add_strain_rs( corrs_rs, strain, vu, dim, ii, out = us ) ut = convolve_field_scalar( corrs_time_alpha1[vu], pressures1, ii, ts ) ut += convolve_field_scalar( corrs_time_alpha2[vu], pressures2, ii, ts ) ut += convolve_field_sym_tensor( corrs_time_rs, dstrains, vu, dim, ii, ts ) u_corr = us + ut u_mic = compute_u_from_macro( strain, micro_coor, ii ) + u_corr ps = corrs_alpha1[vp].data * p1 + corrs_alpha2[vp].data * p2 pt = convolve_field_scalar( corrs_time_alpha1[vdp], pressures1, ii, ts ) pt += convolve_field_scalar( corrs_time_alpha2[vdp], pressures2, ii, ts ) pt += convolve_field_sym_tensor( corrs_time_rs, dstrains, vdp, dim, ii, ts ) p_corr = ps + pt p_mic = micro_p.field.extend_dofs(p_corr[:,nm.newaxis]) p_mic[nodes_y1] = p1 p_mic[nodes_y2] = p2 out = {} out.update( to_output( u_mic, var_info = {vu : (True, vu)}, extend = True ) ) out[vp] = Struct( name = 'output_data', mode = 'vertex', data = p_mic, var_name = vp, dofs = micro_p.dofs ) suffix = get_output_suffix(ig, iel, ts, naming_scheme, format, micro_problem.output_format) micro_name = micro_problem.get_output_name(extra=suffix) filename = join( problem.output_dir, 'recovered_' + micro_name ) micro_problem.save_state(filename, out=out, ts=ts) def save_recovery_region(mac_pb, rname, filename=None): filename = get_default(filename, os.path.join(mac_pb.output_dir, 'recovery_region.vtk')) region = mac_pb.domain.regions[rname] # Save recovery region characteristic function. out = {} mask = region.get_charfun( by_cell = False, val_by_id = False ) out['vmask'] = Struct(name='output_data', mode='vertex', data=mask[:,nm.newaxis], dofs=None) mask = region.get_charfun( by_cell = True, val_by_id = False ) out['cmask'] = Struct(name='output_data', mode='cell', data=mask[:,nm.newaxis,nm.newaxis,nm.newaxis], dofs=None) mac_pb.save_state(filename, out=out) def recover_micro_hook( micro_filename, region, macro, naming_scheme = 'step_iel', recovery_file_tag='' ): # Create a micro-problem instance. required, other = get_standard_keywords() required.remove( 'equations' ) pb = Problem.from_conf_file(micro_filename, required=required, other=other, init_equations=False, init_solvers=False) coefs_filename = pb.conf.options.get('coefs_filename', 'coefs') output_dir = pb.conf.options.get('output_dir', '.') coefs_filename = op.join(output_dir, coefs_filename) + '.h5' # Coefficients and correctors coefs = Coefficients.from_file_hdf5( coefs_filename ) corrs = get_correctors_from_file( dump_names = coefs.dump_names ) recovery_hook = pb.conf.options.get('recovery_hook', None) if recovery_hook is not None: recovery_hook = pb.conf.get_function(recovery_hook) aux = max(pb.domain.shape.n_gr, 2) format = get_print_info( aux, fill = '0' )[1] \ + '_' + get_print_info( pb.domain.mesh.n_el, fill = '0' )[1] for ig, ii, iel in region.iter_cells(): print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel) local_macro = {} for k, v in macro.iteritems(): local_macro[k] = v[ii,0] out = recovery_hook( pb, corrs, local_macro ) if ii == 0: new_keys = [] new_data = {} new_idxs = [] for k in local_macro.iterkeys(): if k not in macro: new_keys.append(k) new_data[k] = [] new_idxs.append(ii) for jj in new_keys: new_data[jj].append(local_macro[jj]) # save data if out is not None: suffix = format % (ig, iel) micro_name = pb.get_output_name(extra='recovered_'\ + recovery_file_tag + suffix) filename = op.join(output_dir, op.basename(micro_name)) fpv = pb.conf.options.get('file_per_var', False) pb.save_state(filename, out=out, file_per_var=fpv) for jj in new_keys: lout = new_data[jj] macro[jj] = nm.zeros((nm.max(new_idxs) + 1,1) + lout[0].shape, dtype=lout[0].dtype) out = macro[jj] for kk, ii in enumerate(new_idxs): out[ii,0] = lout[kk] sfepy-release_2015.1/sfepy/homogenization/setup.py000066400000000000000000000006771247364230400223410ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/homogenization/utils.py000066400000000000000000000213771247364230400223410ustar00rootroot00000000000000import numpy as nm def build_op_pi(var, ir, ic): """\Pi_i^{rs} = y_s \delta_{ir} for r = `ir`, s = `ic`.""" coor = var.field.get_coor() pi = nm.zeros_like( coor ) pi[:,ir] = coor[:,ic] pi.shape = (pi.shape[0] * pi.shape[1],) return pi def create_pis(problem, var_name): """\Pi_i^{rs} = y_s \delta_{ir}, \ul{y} \in Y coordinates.""" var = problem.get_variables(auto_create=True)[var_name] dim = problem.domain.mesh.dim pis = nm.zeros( (dim, dim), dtype = nm.object ) names = [] for ir in range( dim ): for ic in range( dim ): pi = build_op_pi(var, ir, ic) pis[ir,ic] = {var_name : pi} names.append('pi_%d%d' % (ir, ic)) return names, pis def create_scalar_pis( problem, var_name ): """\Pi^k = y_k, \ul{y} \in Y coordinates.""" var = problem.get_variables(auto_create=True)[var_name] coor = var.field.get_coor() dim = problem.domain.mesh.dim pis = nm.zeros( (dim,), dtype = nm.object ) names = [] for ir in range( dim ): pis[ir] = {var_name : nm.ascontiguousarray( coor[:,ir] )} names.append('pi_%d' % (ir,)) return names, pis def iter_sym( dim ): for ii in xrange( dim ): yield ii, ii for ir in xrange( 0, dim ): for ic in xrange( ir + 1, dim ): yield ir, ic c2s = { 2 : [0, 2, 2, 1], 3 : [0, 3, 4, 3, 1, 5, 4, 5, 2], } def coor_to_sym( ir, ic, dim ): return c2s[dim][dim*ir+ic] ## # c: 14.09.2006, r: 04.04.2008 def interp_conv_mat( mat, ts, tdiff ): n_t = mat.shape[0] out = [] tn = ts.time for ii, step in enumerate( xrange( ts.step, 0, -1 ) ): if ii == 0: out.append( mat[0] ) continue td = tn - ts.times[step] if (td - 1e-12) > tdiff[-1]: break i1 = (tdiff >= td).argmax() i0 = i1 - 1 td0, td1 = tdiff[[i0, i1]] dt = (td1 - td0) c1, c0 = (td - td0) / dt, (td1 - td) / dt out.append( c0 * mat[i0] + c1 * mat[i1] ) ## print ii, step, td ## print i0, i1 ## print tn, ts.times[step] ## print td0, td1, c0, c1 ## print out ## print tdiff[-1], len( out ) ## pause() if not out: # For step == 0 matrix evaluation. out.append( mat[0] ) return out ## # c: 09.06.2008, r: 16.06.2008 def integrate_in_time( coef, ts, scheme = 'forward' ): """Forward difference or trapezoidal rule. 'ts' can be anything with 'times' attribute.""" dt = nm.diff(ts.times) dt = dt.reshape((dt.shape[0],) + (1,) * (coef.ndim-1)) if scheme == 'trapezoid': icoef = nm.sum(0.5 * (coef[1:,...] + coef[:-1,...]) * dt, axis=0) elif scheme == 'forward': icoef = nm.sum(coef[:-1,...] * dt, axis=0) else: raise ValueError( 'unsupported scheme: %s' % scheme ) return icoef def define_box_regions(dim, lbn, rtf=None, eps=1.0e-3, kind='facet'): """ Define sides and corner regions for a box aligned with coordinate axes. Parameters ---------- dim : int Space dimension lbn : tuple Left bottom near point coordinates if rtf is not None. If rtf is None, lbn are the (positive) distances from the origin. rtf : tuple Right top far point coordinates. eps : float A parameter, that should be smaller than the smallest mesh node distance. kind : bool, optional The region kind. Returns ------- regions : dict The box regions. """ if rtf is None: lbn, rtf = -nm.array(lbn), lbn if dim == 3: lbnx, lbny, lbnz = lbn rtfx, rtfy, rtfz = rtf dx = abs(rtfx-lbnx) dy = abs(rtfy-lbny) dz = abs(rtfz-lbnz) lbnx, lbny, lbnz = (lbnx+dx*eps, lbny+dy*eps, lbnz+dz*eps) rtfx, rtfy, rtfz = (rtfx-dx*eps, rtfy-dy*eps, rtfz-dz*eps) regions = { 'Near' : ('vertices in (y < %f)' % lbny, kind), 'Far' : ('vertices in (y > %f)' % rtfy, kind), 'Bottom' : ('vertices in (z < %f)' % lbnz, kind), 'Top' : ('vertices in (z > %f)' % rtfz, kind), 'Left' : ('vertices in (x < %f)' % lbnx, kind), 'Right' : ('vertices in (x > %f)' % rtfx, kind), 'Corners' : ("""vertices in ((x < %f) & (y < %f) & (z < %f)) | ((x > %f) & (y < %f) & (z < %f)) | ((x > %f) & (y > %f) & (z < %f)) | ((x < %f) & (y > %f) & (z < %f)) | ((x < %f) & (y < %f) & (z > %f)) | ((x > %f) & (y < %f) & (z > %f)) | ((x > %f) & (y > %f) & (z > %f)) | ((x < %f) & (y > %f) & (z > %f)) """ % ( lbnx, lbny, lbnz, rtfx, lbny, lbnz, rtfx, rtfy, lbnz, lbnx, rtfy, lbnz, lbnx, lbny, rtfz, rtfx, lbny, rtfz, rtfx, rtfy, rtfz, lbnx, rtfy, rtfz ), 'vertex'), } else: lbnx, lbny, = lbn rtfx, rtfy, = rtf dx = abs(rtfx-lbnx) dy = abs(rtfy-lbny) lbnx, lbny = (lbnx+dx*eps, lbny+dy*eps,) rtfx, rtfy = (rtfx-dx*eps, rtfy-dy*eps,) regions = { 'Bottom' : ('vertices in (y < %f)' % lbny, kind), 'Top' : ('vertices in (y > %f)' % rtfy, kind), 'Left' : ('vertices in (x < %f)' % lbnx, kind), 'Right' : ('vertices in (x > %f)' % rtfx, kind), 'Corners' : ("""vertices in ((x < %f) & (y < %f)) | ((x > %f) & (y < %f)) | ((x > %f) & (y > %f)) | ((x < %f) & (y > %f)) """ % ( lbnx, lbny, rtfx, lbny, rtfx, rtfy, lbnx, rtfy ), 'vertex'), } return regions def get_box_volume(dim, lbn, rtf=None): """Volume of a box aligned with coordinate axes. Parameters: dim : int Space dimension lbn : tuple Left bottom near point coordinates if rtf is not None. If rtf is None, lbn are the (positive) distances from the origin. rtf : tuple Right top far point coordinates. Returns: volume : float The box volume. """ if rtf is None: lbn, rtf = -nm.array(lbn), lbn if dim == 3: lbnx, lbny, lbnz = lbn rtfx, rtfy, rtfz = rtf return abs(rtfx-lbnx)*abs(rtfy-lbny)*abs(rtfz-lbnz) else: lbnx, lbny, = lbn rtfx, rtfy, = rtf return abs(rtfx-lbnx)*abs(rtfy-lbny) def get_lattice_volume(axes): r""" Volume of a periodic cell in a rectangular 3D (or 2D) lattice. Parameters ---------- axes : array The array with the periodic cell axes :math:`a_1, \dots, a_3` as rows. Returns ------- volume : float The periodic cell volume :math:`V = (a_1 \times a_2) \cdot a_3`. In 2D :math:`V = |(a_1 \times a_2)|` with zeros as the third components of vectors :math:`a_1`, :math:`a_2`. """ axes = nm.asarray(axes) dim = axes.shape[0] if dim == 2: volume = nm.abs(nm.cross(axes[0], axes[1])) elif dim == 3: volume = nm.dot(nm.cross(axes[0], axes[1]), axes[2]) else: raise ValueError('wrong axes shape! (%s)' % axes.shape) return volume def get_volume(problem, field_name, region_name, quad_order=1): """ Get volume of a given region using integration defined by a given field. Both the region and the field have to be defined in `problem`. """ from sfepy.discrete import FieldVariable field = problem.fields[field_name] var = FieldVariable('u', 'parameter', field, 1, primary_var_name='(set-to-None)') vol = problem.evaluate('d_volume.%d.%s( u )' % (quad_order, region_name), u=var) return vol def set_nonlin_states(variables, nl_state, problem): """ Setup reference state for nonlinear homogenization Parameters ---------- variables : dict All problem variables nl_state : reference state problem : problem description """ if nl_state is not None: var_names = nl_state['variables'] var_fun = nl_state['set_states'] pvar_names = [] for ivar in var_names: if ivar in variables: pvar_names.append(ivar) states = var_fun(problem, pvar_names, variables) for ivar in pvar_names: variables[ivar].set_data(states[ivar]) sfepy-release_2015.1/sfepy/linalg/000077500000000000000000000000001247364230400170315ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/linalg/__init__.py000066400000000000000000000002431247364230400211410ustar00rootroot00000000000000from extmods.crcm import rcm, permute_in_place from sparse import * from utils import * from geometry import * from eigen import * from check_derivatives import * sfepy-release_2015.1/sfepy/linalg/check_derivatives.py000066400000000000000000000026131247364230400230670ustar00rootroot00000000000000""" Utilities for checking derivatives of functions. """ import numpy as nm def check_fx(x0, fx, fx_args, dfx, dfx_args=None, delta=1e-5): """ Check derivatives of a (vectorized) scalar function of a scalar variable. """ if dfx_args is None: dfx_args = fx_args dfx_a = dfx(x0, *dfx_args) x = x0 + delta f1 = fx(x, *fx_args) x = x0 - delta f2 = fx(x, *fx_args) dfx_d = 0.5 * (f1 - f2) / delta error = nm.linalg.norm(dfx_a - dfx_d, nm.inf) print 'analytical:', dfx_a print 'difference:', dfx_d print 'error:', error return dfx_a, dfx_d, error def check_vfvx(x0, fx, fx_args, dfx, dfx_args=None, delta=1e-5): """ Check derivatives of a (vectorized) vector or scalar function of a vector variable. """ if x0.ndim != 2: raise ValueError('The variable must have two dimensions!') if dfx_args is None: dfx_args = fx_args dfx_a = dfx(x0, *dfx_args) dfx_d = nm.zeros_like(dfx_a) for ic in xrange(x0.shape[1]): x = x0.copy() x[:, ic] += delta f1 = fx(x, *fx_args) x = x0.copy() x[:, ic] -= delta f2 = fx(x, *fx_args) dfx_d[:, ic] = 0.5 * (f1 - f2) / delta error = nm.linalg.norm((dfx_a - dfx_d).ravel(), nm.inf) print 'analytical:', dfx_a print 'difference:', dfx_d print 'error:', error return dfx_a, dfx_d, error sfepy-release_2015.1/sfepy/linalg/eigen.py000066400000000000000000000126761247364230400205060ustar00rootroot00000000000000import numpy as nm import scipy.sparse as sp from scipy.sparse.linalg import aslinearoperator from scipy.linalg import eigvals_banded from sfepy.base.base import get_default, output from sfepy.linalg import infinity_norm def sym_tri_eigen(diags, select_indices=None): """ Compute eigenvalues of a symmetric tridiagonal matrix using `scipy.linalg.eigvals_banded()`. """ if select_indices is not None: n = diags.shape[1] select_indices = nm.minimum(select_indices, n) eigs = eigvals_banded(diags, lower=True, select='i', select_range=select_indices) else: eigs = eigvals_banded(diags, lower=True, select='a') return eigs def cg_eigs(mtx, rhs=None, precond=None, i_max=None, eps_r=1e-10, shift=None, select_indices=None, verbose=False, report_step=10): r""" Make several iterations of the conjugate gradients and estimate so the eigenvalues of a (sparse SPD) matrix (Lanczos algorithm). Parameters ---------- mtx : spmatrix or array The sparse matrix :math:`A`. precond : spmatrix or array, optional The preconditioner matrix. Any object that can be multiplied by vector can be passed. i_max : int The maximum number of the Lanczos algorithm iterations. eps_r : float The relative stopping tolerance. shift : float, optional Eigenvalue shift for non-SPD matrices. If negative, the shift is computed as :math:`|shift| ||A||_{\infty}`. select_indices : (min, max), optional If given, computed only the eigenvalues with indices `min <= i <= max`. verbose : bool Verbosity control. report_step : int If `verbose` is True, report in every `report_step`-th step. Returns ------- vec : array The approximate solution to the linear system. n_it : int The number of CG iterations used. norm_rs : array Convergence history of residual norms. eigs : array The approximate eigenvalues sorted in ascending order. """ n_row = mtx.shape[0] norm = nm.linalg.norm rhs = get_default(rhs, nm.random.rand(n_row)) i_max = get_default(i_max, min(n_row, 100)) if shift is not None: if shift < 0.0: mtx_norm = infinity_norm(mtx) output('matrix max norm:', mtx_norm, verbose=verbose) shift = abs(shift) * mtx_norm output('eigenvalue shift:', shift, verbose=verbose) mtx = mtx + shift * sp.eye(n_row, n_row, dtype=mtx.dtype) mtx = aslinearoperator(mtx) lambda_max = 0 lambda_min = 0 econd = 1.0 x0 = nm.zeros_like(rhs) r = r0 = rhs # The diagonals (0, 1) in two rows. diags = nm.empty((2, i_max + 1), dtype=mtx.dtype) diags[0, 0] = 0 if precond is None: z0 = r0 else: z0 = precond * r0 x = x0 z = z0 p = nm.zeros_like(rhs) beta = 0.0 rho0 = nm.dot(z0, r0) norm_r0 = norm(r0); if verbose: output('%5d lambda: %e %e cond: %e |R|: %e\n' % (0, 0, 0, 0, norm_r0)) norm_rs = [norm_r0] for ii in xrange(i_max): p = z + beta * p q = mtx * p alpha = rho0 / nm.dot(p, q) if (not nm.isfinite(alpha)) or abs(alpha) < 1e-16: output('precision limit reached!') ii -= 1 break x = x + alpha * p r = r - alpha * q if precond is None: z = r else: z = precond * r norm_r = norm(r) norm_rs.append(norm_r) rho1 = nm.dot(z, r) beta = rho1 / rho0 # Lanczos diags[0, ii] += 1.0 / alpha diags[1, ii] = - nm.sqrt(beta) / alpha diags[0, ii+1] = beta / alpha if verbose and (ii > 0): if (ii % report_step) == 0: eigs = sym_tri_eigen(diags[:, :ii+1], select_indices=select_indices) if select_indices is None: lambda_min, lambda_max = eigs[0], eigs[-1] econd = lambda_max / lambda_min output('%5d lambda: %e %e cond: %e |R|: %e\n' % (ii, lambda_min, lambda_max, econd, norm_r)) else: output('%5d |R|: %e\n' % (ii, norm_r)) if (norm_r / norm_r0) < eps_r: output('converged on %d iters, |Ri|/|R0|: %e, econd: %e\n' % (ii, norm_r / norm_r0, econd), verbose=verbose) break rho0 = rho1 eigs = sym_tri_eigen(diags[:, :ii+1], select_indices=select_indices) if verbose and (select_indices is None): lambda_min, lambda_max = eigs[0], eigs[-1] econd = lambda_max / lambda_min output('min: %e max: %e cond: %e\n' % (lambda_min, lambda_max, econd)) if shift is not None: eigs -= shift return x, ii, nm.array(norm_rs), eigs def arpack_eigs(mtx, nev=1, which='SM'): """ Calculate several eigenvalues and corresponding eigenvectors of a matrix using ARPACK from SciPy. The eigenvalues are sorted in ascending order. """ from scipy.sparse.linalg.interface import aslinearoperator from scipy.sparse.linalg.eigen.arpack import speigs matvec = aslinearoperator(mtx).matvec eigs, vecs = speigs.ARPACK_eigs(matvec, mtx.shape[0], nev=nev, which=which) ii = nm.argsort(eigs) eigs = eigs[ii] vecs = vecs[:,ii] return eigs, vecs sfepy-release_2015.1/sfepy/linalg/extmods/000077500000000000000000000000001247364230400205145ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/linalg/extmods/__init__.py000066400000000000000000000000011247364230400226140ustar00rootroot00000000000000 sfepy-release_2015.1/sfepy/linalg/extmods/crcm.pyx000066400000000000000000000052051247364230400222040ustar00rootroot00000000000000# -*- Mode: Python -*- cimport cython import numpy as np cimport numpy as np from sfepy.discrete.fem.extmods.types cimport int32 cdef extern from 'common.h': cdef void errclear() cdef extern from 'rcm.h': cdef void rcm_genrcm(int32 *perm, int32 neqns, int32 *xadj, int32 n_ptr, int32 *adjncy, int32 n_indx) cdef int32 gr_permuteInPlace(int32 *row, int32 n_row, int32 *col, int32 n_col, int32 *perm, int32 n_perm, int32 *permI, int32 n_permI) @cython.boundscheck(False) def rcm(mtx not None): """ Generate the reversed Cuthil-McKee permutation for a CSR matrix. """ cdef np.ndarray[int32, mode='c', ndim=1] perm cdef np.ndarray[int32, mode='c', ndim=1] indices cdef np.ndarray[int32, mode='c', ndim=1] indptr cdef int32 *_perm, *_indptr, *_indices cdef int32 n_row, n_ptr, n_indx n_row = mtx.shape[0] assert n_row == mtx.shape[1] perm = np.zeros((n_row,), dtype=np.int32) indptr = mtx.indptr indices = mtx.indices _perm = &perm[0] _indptr = &indptr[0] n_ptr = indptr.shape[0] _indices = &indices[0] n_indx = indices.shape[0] rcm_genrcm(_perm, n_row, _indptr, n_ptr, _indices, n_indx) return perm @cython.boundscheck(False) def permute_in_place(mtx not None, np.ndarray[int32, mode='c', ndim=1] perm not None, np.ndarray[int32, mode='c', ndim=1] perm_i=None, inverse=False): """ Permute a graph (= CSR sparse matrix with boolean values) in place, given a permuation vector. """ cdef int32 ret = 0 cdef np.ndarray[int32, mode='c', ndim=1] indices cdef np.ndarray[int32, mode='c', ndim=1] indptr cdef int32 *_perm, *_perm_i, *_indptr, *_indices cdef int32 n_row, n_ptr, n_indx if perm_i is None: perm_i = np.empty_like(perm) perm_i[perm] = np.arange(perm.shape[0], dtype=perm_i.dtype) if inverse: perm, perm_i = perm_i, perm.copy() else: perm_i = perm_i.copy() indptr = mtx.indptr indices = mtx.indices _perm = &perm[0] n_row = perm.shape[0] _perm_i = &perm_i[0] _indptr = &indptr[0] n_ptr = indptr.shape[0] _indices = &indices[0] n_indx = indices.shape[0] assert n_row == perm_i.shape[0] assert n_row == mtx.shape[0] assert n_row == mtx.shape[1] # Destroys perm_i! ret = gr_permuteInPlace(_indptr, n_ptr, _indices, n_indx, _perm, n_row, _perm_i, n_row) if ret: errclear() raise ValueError('ccore error (see above)') sfepy-release_2015.1/sfepy/linalg/extmods/rcm.c000066400000000000000000000365631247364230400214560ustar00rootroot00000000000000#include "rcm.h" /*! @file Reverse Cuthill-McKee algorithm. */ /*! @fn void rcm_rootls (int32 root, int32 xadj[], int32 adjncy[], int32 mask[], int32 *nlvl, int32 xls[], int32 ls[]) @short Generate a level structure. @param root [I] - the node at which the level structure is to be rooted. @param xadj, adjncy [I] - adjacency structure pair for the given graph. @param mask [I] - is used to specify a section subgraph. nodes with mask(i)=0 are ignored. @param nlvl [O] - is the number of levels in the level structure. @param xls, ls [O] - array pair for the rooted level structure. rootls() generates the level structure rooted at the input node called root. Only those nodes for which mask is nonzero will be considered. Adopted from code by Ales Janka. @par Revision history: - 11.10.2000, 0.27.0, c - 12.10.2000, 0.27.0 */ void rcm_rootls (int32 root, int32 xadj[], int32 adjncy[], int32 mask[], int32 *nlvl, int32 xls[], int32 ls[]) { int32 i, j; int32 jstop, jstrt; int32 lbegin, ccsize, lvlend, lvsize; int32 nbr, node; /* ------------------ * initialization ... * ------------------ */ mask[root] = 0; ls[0] = root; (*nlvl) = 0; lvlend = 0; ccsize = 1; /* ----------------------------------------------------- * lbegin is the point32er to the beginning of the current * level, and lvlend point32s to the end of this level. * ----------------------------------------------------- */ do { lbegin = lvlend; lvlend = ccsize; xls[*nlvl] = lbegin; (*nlvl)++; /* ------------------------------------------------- * generate the next level by finding all the masked * neighbors of nodes in the current level. * ------------------------------------------------- */ // printf( "%d %d\n", lbegin, lvlend - 1 ); for (i = lbegin; i < lvlend; i++) { node = ls[i]; jstrt = xadj[node]; jstop = xadj[node+1]; // printf( " %d %d %d\n", node, jstrt, jstop-1 ); for (j = jstrt; j < jstop; j++) { nbr = adjncy[j]; // printf( " %d %d\n", nbr, mask[nbr] ); if (mask[nbr] == 0) continue; ls[ccsize] = nbr; ccsize++; mask[nbr] = 0; } } /* ------------------------------------------ * compute the current level width. * if it is nonzero, generate the next level. * ------------------------------------------ */ lvsize = ccsize - lvlend; // printf( "ss %d\n", lvsize ); } while (lvsize > 0); /* ------------------------------------------------------- * reset mask to one for the nodes in the level structure. * ------------------------------------------------------- */ xls[*nlvl] = lvlend; // printf( "dd %d %d\n", *nlvl, xls[*nlvl] ); for (i = 0; i < ccsize; i++) { node = ls[i]; mask[node] = 1; } return; } /*! @fn rcm_fnroot(int32 *root, int32 xadj[], int32 adjncy[], int32 mask[], int32 *nlvl, int32 xls[], int32 ls[]) @short Find pseudo-peripheral nodes. @param xadj, adjncy [I] - adjacency structure pair for the graph. @param mask [I] - specifies a section subgraph. nodes for which mask is zero are ignored by fnroot. @param root [U] - on input, it (along with mask) defines the component for which a pseudo-peripheral node is to be found. on output, it is the node obtained. @param nlvl [O] - is the number of levels in the level structure rooted at the node root. @param xls, ls [O] - the level structure array pair containing the level structure found. rcm_fnroot() implements a modified version of the scheme by gibbs, poole, and stockmeyer to find pseudo-peripheral nodes. It determines such a node for the section subgraph specified by mask and root. @par Subroutines: rcm_rootls(). Adopted from code by Ales Janka. @par Revision history: - 11.10.2000, 0.27.0, c */ void rcm_fnroot (int32 *root, int32 xadj[], int32 adjncy[], int32 mask[], int32 *nlvl, int32 xls[], int32 ls[]) { int32 ccsize, j, jstrt, k, kstop, kstrt; int32 mindeg, nabor, ndeg, node, nunlvl; /* --------------------------------------------- * determine the level structure rooted at root. * --------------------------------------------- */ rcm_rootls(*root, xadj, adjncy, mask, nlvl, xls, ls); ccsize = xls[*nlvl]; if ((*nlvl == 1) || (*nlvl == ccsize)) return; /* ---------------------------------------------------- * pick a node with minimum degree from the last level. * ---------------------------------------------------- */ do { jstrt = xls[*nlvl-1]; mindeg = ccsize; (*root) = ls[jstrt]; if (ccsize != jstrt) { for (j = jstrt; j < ccsize; j++) { node = ls[j]; ndeg = 0; kstrt = xadj[node]; kstop = xadj[node+1]; for (k = kstrt; k < kstop; k++) { nabor = adjncy[k]; if (mask[nabor] > 0) ndeg++; } if (ndeg < mindeg) { (*root) = node; mindeg = ndeg; } } } /* ---------------------------------------- * and generate its rooted level structure. * ---------------------------------------- */ rcm_rootls (*root, xadj, adjncy, mask, &nunlvl, xls, ls); if (nunlvl <= *nlvl) return; *nlvl = nunlvl; } while (*nlvl < ccsize); return; } /*! @fn void rcm_rcm (int32 root, int32 xadj[], int32 adjncy[], int32 mask[], int32 perm[], int32 ccsize, int32 deg[]) @short Number a connected component. @param root [I] - is the node that defines the connected component and it is used as the starting node for the rcm ordering. @param xadj, adjncy [I] - adjacency structure pair for the graph. @param deg [I] - is a temporary vector used to hold the degree of the nodes in the section graph specified by mask and root. @param mask [U] - only those nodes with nonzero input mask values are considered by the routine. The nodes numbered by rcm_rcm() will have their mask values set to zero. @param perm [O] - will contain the rcm ordering. @param ccsize [O] - is the size of the connected component that has been numbered by rcm(). Number a connected component specified by mask and root, using the rcm algorithm. The numbering is to be started at the node root. Adopted from code by Ales Janka. @par Revision history: - 11.10.2000, 0.27.0, c - 12.10.2000, 0.27.0 */ void rcm_rcm (int32 root, int32 xadj[], int32 adjncy[], int32 mask[], int32 perm[], int32 ccsize, int32 deg[]) { int32 fnbr, i, j, jstop, jstrt, k, l, lbegin, lnbr, lperm, lvlend; int32 nbr, node; mask[root] = 0; if ( ccsize <= 1 ) return; lvlend = 0; lnbr = 0; /* -------------------------------------------- * lbegin and lvlend point32 to the beginning and * the end of the current level respectively. * -------------------------------------------- */ do { lbegin = lvlend; lvlend = lnbr + 1; for (i = lbegin; i < lvlend; i++) { /* ---------------------------------- * for each node in current level ... * ---------------------------------- */ node = perm[i]; jstrt = xadj[node]; jstop = xadj[node+1]; /* ------------------------------------------------ * find the unnumbered neighbors of node. * fnbr and lnbr point32 to the first and last * unnumbered neighbors respectively of the current * node in perm. * ------------------------------------------------ */ fnbr = lnbr + 1; for (j = jstrt; j < jstop; j++) { nbr = adjncy[j]; if ( mask[nbr] != 0 ) { lnbr++; mask[nbr] = 0; perm[lnbr] = nbr; } } if ( fnbr < lnbr ) { /* ------------------------------------------ * sort the neighbors of node in increasing * order by degree. linear insertion is used. * ------------------------------------------ */ k = fnbr; do { l = k; k++; nbr = perm[k]; while ( l >= fnbr ) { lperm = perm[l]; if (deg[lperm] <= deg[nbr]) break; perm[l+1] = lperm; l--; } perm[l+1] = nbr; } while (k < lnbr); } } } while (lnbr >= lvlend); /* --------------------------------------- * we now have the cuthill mckee ordering. * reverse it below ... * --------------------------------------- */ k = ccsize/2; l = ccsize-1; for (i = 0; i < k; i++) { lperm = perm[l]; perm[l] = perm[i]; perm[i] = lperm; l--; } return; } #undef __FUNC__ #define __FUNC__ "rcm_genrcm" /*! @fn void rcm_genrcm (int32 neqns, int32 xadj[], int32 adjncy[], int32 perm[]) @short General reversed Cuthill-McKee permutation algorithm. @param neqns [I] - number of equations @param xadj, adjncy [I] - array pair containing the adjacency structure of the graph of the matrix. @param perm [O] - vector that contains the RCM ordering. perm[i] = # means that old #-th node is the new i-th node @par Working data: \a mask is used to mark variables that have been numbered during the ordering process. it is initialized to 1, and set to zero as each node is numbered. @par \a xls is the index vector for a level structure. the level structure is stored in the currently unused spaces in the permutation vector perm[]. General reversed Cuthill-McKee permutation algorithm, general = for a graph with more components. rcm_genrcm() finds the reverse cuthill-mckee ordering for a general graph. For each connected component in the graph, rcm_genrcm obtains the ordering by calling the subroutine rcm_rcm(). \b IMPORTANT \b PROPERTY: If A is block diagonal, then the ordering of the blocks is kept unchanged, ie. the numbers of each separate component of the graph remain unchanged. @par Subroutines: rcm_rcm(), rcm_fnroot() Adopted from code by Ales Janka. @par Revision history: - 11.10.2000, 0.27.0, c - 16.10.2000, 0.27.1 - 04.06.2001, adopted for rcfem2 */ void rcm_genrcm(int32 *perm, int32 neqns, int32 *xadj, int32 n_ptr, int32 *adjncy, int32 n_indx) { int32 ccsize, i, nlvl, num, root; int32 *xls, *deg, *mask; deg = alloc_mem( int32, neqns ); mask = alloc_mem( int32, neqns ); xls = alloc_mem( int32, neqns+1 ); /* majorant length*/ for (i = 0; i < neqns; i++) { mask[i] = 1; /* no node has been processed yet */ deg[i] = xadj[i+1] - xadj[i] - 1; /* degree of the i-th node */ // printf( "%d %d\n", i, deg[i] ); } num = 0; for (i = 0; i < neqns; i++) { /* --------------------------------------- * for each masked connected component ... * --------------------------------------- */ if (mask[i] == 0) continue; /* take next (i) */ root = i; /* ----------------------------------------- * first find a pseudo-peripheral node root. * note that the level structure found by * fnroot is stored starting at perm[num]. * then rcm is called to order the component * using root as the starting node. * ----------------------------------------- */ rcm_fnroot (&root, xadj, adjncy, mask, &nlvl, xls, &perm[num]); ccsize = xls[nlvl]; // printf( "%d %d\n", root, ccsize ); rcm_rcm(root, xadj, adjncy, mask, &perm[num], ccsize, deg); num += ccsize; if (num > neqns) { goto end_label; } } end_label: free_mem( deg ); free_mem( xls ); free_mem( mask ); return; } #undef __FUNC__ #define __FUNC__ "gr_permuteInPlace" /*! @fn int32 gr_permuteInPlace( GraphCSR *obj, int32 *perm, int32 *permI ) @short Graph adjacency matrix permutation in place. @param obj [U] - is the graph to be permuted. Some fields are @b overwritten. @param perm [I] - is the permutation vector. perm[#] = $ means that $ is the old position and # is the new one. @param permI [I] - is the inverse permutation vector. Permute the adjacency matrix of the graph in the place of the original graph structure. @par Revision history: - 17.10.2000, 0.27.2, c - 27.05.2001 */ int32 gr_permuteInPlace(int32 *row, int32 n_row, int32 *col, int32 n_col, int32 *perm, int32 n_perm, int32 *permI, int32 n_permI) { int32 ret = 0; int32 ir, ic, iold, iord; int32 tmpcol, neword, auxint; int32 nNod = n_perm, nEdge = n_col; int32 *order = 0; /* Order vector for col array. */ order = alloc_mem( int32, nEdge ); /* Initialize order. Permute columns (in old row block positions). */ iord = 0; for (ir = 0; ir < nNod; ir++) { iold = perm[ir]; for (ic = row[iold]; ic < (row[iold+1]); ic++) { order[ic] = iord; iord++; col[ic] = permI[col[ic]]; } } /* Permute row pointers and counts. Use permI as tmp buffer for new row item counts. */ for (ir = 0; ir < nNod; ir++) permI[ir] = (row[perm[ir]+1] - row[perm[ir]]); row[0] = 0; for (ir = 0; ir < nNod; ir++) { row[ir+1] = row[ir] + permI[ir]; // printf( "%d\n", row[ir] ); } if (row[nNod] != nEdge) { errput( "original graph was not stripped?? (%d != %d)", row[nNod], nEdge ); ERR_CheckGo( ret ); } /* Permute row blocks of col and val according to the order array. */ for (iord = 0; iord < nEdge; iord++) { if (order[iord] == iord) continue; tmpcol = col[iord]; neword = order[iord]; /* Permutes one permutation cycle. */ while (neword != iord) { auxint = col[neword]; col[neword] = tmpcol; tmpcol = auxint; /* This gets next neword and marks old neword position in order as done. */ auxint = order[neword]; order[neword] = neword; neword = auxint; } /* Finish the cycle. */ col[iord] = tmpcol; order[iord] = neword; } end_label: free_mem( order ); if (ret != RET_OK) { errput( "graph permutation not done!" ); } return( ret ); } /* void main(void) { } */ sfepy-release_2015.1/sfepy/linalg/extmods/rcm.h000066400000000000000000000022061247364230400214460ustar00rootroot00000000000000/*! @par Revision history: - 04.06.2001, adopted for rcfem2 */ #ifndef _RCM_H_ #define _RCM_H_ #include "common.h" BEGIN_C_DECLS /*! @file @version v.1.0 @short Reversed Cuthill-McKee permutation of a sparse matrix. "these subroutines appear in the book "computer solution of large sparse positive definite systems" by george and liu, prentice hall 19 they form the basic building blocks for part of the sparse matrix package known as sparspak, currently distributed under license by the university of waterloo. a few of the routines in the package are revised/improved versions of those that are published in the book cited above." careful! anything free comes with no guarantee from netlib, sat oct 28 12:12:27 edt 1989 Adopted from code by Ales Janka, 17.4.1998. @par Revision history: - 11.10.2000, 0.27.0, c - 16.10.2000, 0.27.1 */ void rcm_genrcm(int32 *perm, int32 neqns, int32 *xadj, int32 n_ptr, int32 *adjncy, int32 n_indx); int32 gr_permuteInPlace(int32 *row, int32 n_row, int32 *col, int32 n_col, int32 *perm, int32 n_perm, int32 *permI, int32 n_permI); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/linalg/extmods/setup.py000066400000000000000000000023521247364230400222300ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): import os.path as op from numpy.distutils.misc_util import Configuration from sfepy import Config site_config = Config() os_flag = {'posix' : 0, 'windows' : 1} auto_dir = op.dirname(__file__) auto_name = op.split(auto_dir)[-1] config = Configuration(auto_name, parent_package, top_path) defines = [('__SDIR__', "'\"%s\"'" % auto_dir), ('SFEPY_PLATFORM', os_flag[site_config.system()])] if '-DDEBUG_FMF' in site_config.debug_flags(): defines.append(('DEBUG_FMF', None)) common_path = '../../discrete/fem/extmods' fem_src = ['common_python.c'] fem_src = [op.join(common_path, ii) for ii in fem_src] src = ['crcm.pyx', 'rcm.c'] config.add_extension('crcm', sources=src + fem_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir, common_path], define_macros=defines) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/linalg/geometry.py000066400000000000000000000330761247364230400212470ustar00rootroot00000000000000import numpy as nm import numpy.linalg as nla from scipy.misc import factorial from sfepy.base.base import assert_, output from sfepy.linalg.utils import norm_l2_along_axis as norm from sfepy.linalg.utils import mini_newton, dets_fast def transform_bar_to_space_coors(bar_coors, coors): """ Transform barycentric coordinates `bar_coors` within simplices with vertex coordinates `coors` to space coordinates. """ space_coors = nm.zeros((coors.shape[0], coors.shape[2]), dtype=coors.dtype) for iv in range(bar_coors.shape[1]): space_coors += bar_coors[:,iv:iv+1] * coors[:,iv,:] return space_coors def get_simplex_circumcentres(coors, force_inside_eps=None): """ Compute the circumcentres of `n_s` simplices in 1D, 2D and 3D. Parameters ---------- coors : array The coordinates of the simplices with `n_v` vertices given in an array of shape `(n_s, n_v, dim)`, where `dim` is the space dimension and `2 <= n_v <= (dim + 1)`. force_inside_eps : float, optional If not None, move the circumcentres that are outside of their simplices or closer to their boundary then `force_inside_eps` so that they are inside the simplices at the distance given by `force_inside_eps`. It is ignored for edges. Returns ------- centres : array The circumcentre coordinates as an array of shape `(n_s, dim)`. """ n_s, n_v, dim = coors.shape assert_(2 <= n_v <= (dim + 1)) assert_(1 <= dim <= 3) if n_v == 2: # Edges. centres = 0.5 * nm.sum(coors, axis=1) else: if n_v == 3: # Triangles. a2 = norm(coors[:,1,:] - coors[:,2,:], squared=True) b2 = norm(coors[:,0,:] - coors[:,2,:], squared=True) c2 = norm(coors[:,0,:] - coors[:,1,:], squared=True) bar_coors = nm.c_[a2 * (-a2 + b2 + c2), b2 * (a2 - b2 + c2), c2 * (a2 + b2 - c2)] elif n_v == 4: # Tetrahedrons. a2 = norm(coors[:,2,:] - coors[:,1,:], squared=True) b2 = norm(coors[:,2,:] - coors[:,0,:], squared=True) c2 = norm(coors[:,1,:] - coors[:,0,:], squared=True) d2 = norm(coors[:,3,:] - coors[:,0,:], squared=True) e2 = norm(coors[:,3,:] - coors[:,1,:], squared=True) f2 = norm(coors[:,3,:] - coors[:,2,:], squared=True) bar_coors = nm.c_[(d2 * a2 * (f2 + e2 - a2) + b2 * e2 * (a2 + f2 - e2) + c2 * f2 * (e2 + a2 - f2) - 2 * a2 * e2 * f2), (e2 * b2 * (f2 + d2 - b2) + c2 * f2 * (d2 + b2 - f2) + a2 * d2 * (b2 + f2 - d2) - 2 * b2 * d2 * f2), (f2 * c2 * (e2 + d2 - c2) + b2 * e2 * (d2 + c2 - e2) + a2 * d2 * (c2 + e2 - d2) - 2 * c2 * e2 * d2), (d2 * a2 * (b2 + c2 - a2) + e2 * b2 * (c2 + a2 - b2) + f2 * c2 * (a2 + b2 - c2) - 2 * a2 * b2 * c2)] else: raise ValueError('unsupported simplex! (%d vertices)' % n_v) bar_coors /= nm.sum(bar_coors, axis=1)[:,None] if force_inside_eps is not None: bc = 1.0 / n_v limit = 0.9 * bc bar_centre = nm.array([bc] * n_v, dtype=nm.float64) eps = float(force_inside_eps) if eps > limit: output('force_inside_eps is too big, adjusting! (%e -> %e)' % (eps, limit)) eps = limit # Flag is True where the barycentre is closer to the simplex # boundary then eps, or outside of the simplex. mb = nm.min(bar_coors, axis=1) flag = nm.where(mb < eps)[0] # Move the bar_coors[flag] towards bar_centre so that it is # inside at the eps distance. mb = mb[flag] alpha = ((eps - mb) / (bar_centre[0] - mb))[:,None] bar_coors[flag] = (1.0 - alpha) * bar_coors[flag] \ + alpha * bar_centre[None,:] centres = transform_bar_to_space_coors(bar_coors, coors) return centres def get_simplex_volumes(cells, coors): """ Get volumes of simplices in nD. Parameters ---------- cells : array, shape (n, d) The indices of `n` simplices with `d` vertices into `coors`. coors : array The coordinates of simplex vertices. Returns ------- volumes : array The volumes of the simplices. """ scoors = coors[cells] deltas = scoors[:, 1:] - scoors[:, :1] dim = coors.shape[1] volumes = dets_fast(deltas) / factorial(dim) return volumes def barycentric_coors(coors, s_coors): """ Get barycentric (area in 2D, volume in 3D) coordinates of points with coordinates `coors` w.r.t. the simplex given by `s_coors`. Returns ------- bc : array The barycentric coordinates. Then reference element coordinates `xi = dot(bc.T, ref_coors)`. """ n_v, dim = s_coors.shape n_c, dim2 = coors.shape assert_(dim == dim2) assert_(n_v == (dim + 1)) mtx = nm.ones((n_v, n_v), nm.float64) mtx[0:n_v-1,:] = s_coors.T rhs = nm.empty((n_v,n_c), nm.float64) rhs[0:n_v-1,:] = coors.T rhs[n_v-1,:] = 1.0 bc = nla.solve(mtx, rhs) return bc def points_in_simplex(coors, s_coors, eps=1e-8): """ Test if points with coordinates `coors` are in the simplex given by `s_coors`. """ n_c, dim = coors.shape bc = barycentric_coors(coors, s_coors) flag = nm.ones((n_c,), dtype=nm.bool) for idim in xrange(dim + 1): flag &= nm.where((bc[idim,:] > -eps) & (bc[idim,:] < (1.0 + eps)), True, False) return flag def flag_points_in_polygon2d(polygon, coors): """ Test if points are in a 2D polygon. Parameters ---------- polygon : array, (:, 2) The polygon coordinates. coors: array, (:, 2) The coordinates of points. Returns ------- flag : bool array The flag that is True for points that are in the polygon. Notes ----- This is a semi-vectorized version of [1]. [1] PNPOLY - Point Inclusion in Polygon Test, W. Randolph Franklin (WRF) """ flag = nm.zeros(coors.shape[0], dtype=nm.bool) nv = polygon.shape[0] px, py = coors[:, 0], coors[:, 1] for ii in xrange(nv): vix, viy = polygon[ii, 0], polygon[ii, 1] vjx, vjy = polygon[ii-1, 0], polygon[ii-1, 1] aux = nm.where((viy > py) != (vjy > py)) flag[aux] = nm.where((px[aux] < (vjx - vix) * (py[aux] - viy) / (vjy - viy) + vix), ~flag[aux], flag[aux]) return flag def inverse_element_mapping(coors, e_coors, eval_base, ref_coors, suppress_errors=False): """ Given spatial element coordinates, find the inverse mapping for points with coordinats X = X(xi), i.e. xi = xi(X). Returns ------- xi : array The reference element coordinates. """ n_v, dim = e_coors.shape if coors.ndim == 2: n_c, dim2 = coors.shape else: n_c, dim2 = 1, coors.shape[0] assert_(dim == dim2) if n_v == (dim + 1): # Simplex. bc = barycentric_coors(coors, e_coors) xi = nm.dot(bc.T, ref_coors) else: # Tensor-product and other. def residual(xi): bf = eval_base(xi[nm.newaxis,:], suppress_errors=suppress_errors).squeeze() res = coors - nm.dot(bf, e_coors) return res.squeeze() def matrix(xi): bfg = eval_base(xi[nm.newaxis,:], diff=True, suppress_errors=suppress_errors).squeeze() mtx = - nm.dot(bfg, e_coors) return mtx xi0 = nm.array([0.0, 0.0, 0.0]) xi = mini_newton(residual, xi0, matrix) return xi def get_perpendiculars(vec): """ For a given vector, get a unit vector perpendicular to it in 2D, or get two mutually perpendicular unit vectors perpendicular to it in 3D. """ nvec = nm.linalg.norm(vec) vec /= nvec if vec.shape[0] == 2: out = nm.array([vec[1], -vec[0]], dtype=nm.float64) else: aux = nm.array([0.0, 0.0, 1.0], dtype=nm.float64) v1 = nm.cross(vec, aux) if nm.linalg.norm(v1) < 0.1: # vec and aux close to being co-linear. aux = nm.array([0.0, 1.0, 0.0], dtype=nm.float64) v1 = nm.cross(vec, aux) v1 /= nm.linalg.norm(v1) v2 = nm.cross(vec, v1) v2 /= nm.linalg.norm(v2) out = (v1, v2) return out def get_face_areas(faces, coors): """ Get areas of planar convex faces in 2D and 3D. Parameters ---------- faces : array, shape (n, m) The indices of `n` faces with `m` vertices into `coors`. coors : array The coordinates of face vertices. Returns ------- areas : array The areas of the faces. """ faces = nm.asarray(faces) coors = nm.asarray(coors) n_v = faces.shape[1] if n_v == 3: aux = coors[faces] v1 = aux[:, 1, :] - aux[:, 0, :] v2 = aux[:, 2, :] - aux[:, 0, :] if coors.shape[1] == 3: areas = 0.5 * norm(nm.cross(v1, v2)) else: areas = 0.5 * nm.abs(nm.cross(v1, v2)) elif n_v == 4: areas1 = get_face_areas(faces[:, [0, 1, 2]], coors) areas2 = get_face_areas(faces[:, [0, 2, 3]], coors) areas = areas1 + areas2 else: raise ValueError('unsupported faces! (%d vertices)' % n_v) return areas def rotation_matrix2d(angle): """ Construct a 2D (plane) rotation matrix corresponding to `angle`. """ angle *= nm.pi / 180.0 mtx = nm.array([[nm.cos(angle), -nm.sin(angle)], [nm.sin(angle), nm.cos(angle)]], dtype=nm.float64) return mtx def make_axis_rotation_matrix(direction, angle): r""" Create a rotation matrix :math:`\ull{R}` corresponding to the rotation around a general axis :math:`\ul{d}` by a specified angle :math:`\alpha`. .. math:: \ull{R} = \ul{d}\ul{d}^T + \cos(\alpha) (I - \ul{d}\ul{d}^T) + \sin(\alpha) \skewop(\ul{d}) Parameters ---------- direction : array The rotation axis direction vector :math:`\ul{d}`. angle : float The rotation angle :math:`\alpha`. Returns ------- mtx : array The rotation matrix :math:`\ull{R}`. Notes ----- The matrix follows the right hand rule: if the right hand thumb points along the axis vector :math:`\ul{d}` the fingers show the positive angle rotation direction. Examples -------- Make transformation matrix for rotation of coordinate system by 90 degrees around 'z' axis. >>> mtx = make_axis_rotation_matrix([0., 0., 1.], nm.pi/2) >>> mtx array([[ 0., 1., 0.], [-1., 0., 0.], [ 0., 0., 1.]]) Coordinates of vector :math:`[1, 0, 0]^T` w.r.t. the original system in the rotated system. (Or rotation of the vector by -90 degrees in the original system.) >>> nm.dot(mtx, [1., 0., 0.]) >>> array([ 0., -1., 0.]) Coordinates of vector :math:`[1, 0, 0]^T` w.r.t. the rotated system in the original system. (Or rotation of the vector by +90 degrees in the original system.) >>> nm.dot(mtx.T, [1., 0., 0.]) >>> array([ 0., 1., 0.]) """ d = nm.array(direction, dtype=nm.float64) d /= nm.linalg.norm(d) eye = nm.eye(3, dtype=nm.float64) ddt = nm.outer(d, d) skew = nm.array([[ 0, d[2], -d[1]], [-d[2], 0, d[0]], [d[1], -d[0], 0]], dtype=nm.float64) mtx = ddt + nm.cos(angle) * (eye - ddt) + nm.sin(angle) * skew return mtx def get_coors_in_tube(coors, centre, axis, radius_in, radius_out, length, inside_radii=True): """ Return indices of coordinates inside a tube given by centre, axis vector, inner and outer radii and length. Parameters ---------- inside_radii : bool, optional If False, select points outside the radii, but within the tube length. Notes ----- All float comparisons are done using `<=` or `>=` operators, i.e. the points on the boundaries are taken into account. """ coors = nm.asarray(coors) centre = nm.asarray(centre) vec = coors - centre[None, :] drv = nm.cross(axis, vec, axisb=1) dr = nm.sqrt(nm.sum(drv * drv, 1)) dl = nm.dot(vec, axis) l2 = 0.5 * length if inside_radii: out = nm.where((dl >= -l2) & (dl <= l2) & (dr >= radius_in) & (dr <= radius_out))[0] else: out = nm.where((dl >= -l2) & (dl <= l2) & (dr <= radius_in) & (dr >= radius_out))[0] return out def get_coors_in_ball(coors, centre, radius, inside=True): """ Return indices of coordinates inside or outside a ball given by centre and radius. Notes ----- All float comparisons are done using `<=` or `>=` operators, i.e. the points on the boundaries are taken into account. """ coors = nm.asarray(coors) centre = nm.asarray(centre) vec = coors - centre[None, :] if inside: out = nm.where(norm(vec) <= radius)[0] else: out = nm.where(norm(vec) >= radius)[0] return out sfepy-release_2015.1/sfepy/linalg/setup.py000066400000000000000000000007441247364230400205500ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) config.add_subpackage('extmods') # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/linalg/sparse.py000066400000000000000000000157761247364230400207200ustar00rootroot00000000000000"""Some sparse matrix utilities missing in scipy.""" import numpy as nm import scipy.sparse as sp from sfepy.base.base import assert_ def save_sparse_txt(filename, mtx, fmt='%d %d %f\n'): """Save a CSR/CSC sparse matrix into a text file""" fd = open(filename, 'w') fd.write('%d %d\n' % mtx.shape) fd.write('%d\n' % mtx.size) if mtx.format == 'csr': indptr, indices, data = mtx.indptr, mtx.indices, mtx.data for ir in xrange(mtx.shape[0]): for ii in xrange(indptr[ir], indptr[ir+1]): fd.write(fmt % (ir, indices[ii], data[ii])) elif mtx.format == 'csc': indptr, indices, data = mtx.indptr, mtx.indices, mtx.data for ic in xrange(mtx.shape[0]): for ii in xrange(indptr[ir], indptr[ir+1]): fd.write(fmt % (indices[ii], ic, data[ii])) else: raise ValueError('matrix format not supported! (%s)' % mtx.format) def insert_sparse_to_csr(mtx1, mtx2, irs, ics): """ Insert a sparse matrix `mtx2` into a CSR sparse matrix `mtx1` at rows `irs` and columns `ics`. The submatrix `mtx1[irs,ics]` must already be preallocated and have the same structure as `mtx2`. """ import sfepy.discrete.fem.extmods.assemble as asm if isinstance(irs, slice): irs = nm.arange(irs.start, irs.stop, irs.step, dtype=nm.int32) if isinstance(ics, slice): ics = nm.arange(ics.start, ics.stop, ics.step, dtype=nm.int32) n_row, n_col = mtx1.shape assert_((irs.min() >= 0) and (irs.max() < n_row)) assert_((ics.min() >= 0) and (ics.max() < n_col)) aux = mtx2.tocoo() data = nm.ascontiguousarray(aux.data[:,None,None,None]) rows = irs[aux.row[:,None]] cols = ics[aux.col[:,None]] iels = nm.arange(rows.shape[0], dtype=nm.int32) asm.assemble_matrix(mtx1.data, mtx1.indptr, mtx1.indices, data, iels, 1.0, rows, cols) def _normalize_sizes(sizes): """ Checks whether all the sizes are either slices or not. Transforms slices into their sizes. """ out = [] ns = 0 for size in sizes: if isinstance(size, slice): size = size.stop - size.start ns += 1 else: size = int(size) out.append(size) if ns: if ns != len(sizes): raise ValueError('cannot mix sizes with slices! (%s)' % (sizes,)) is_slice = True else: is_slice = False return out, is_slice def compose_sparse(blocks, row_sizes=None, col_sizes=None): """ Compose sparse matrices into a global sparse matrix. Parameters ---------- blocks : sequence of sequences The sequence of sequences of equal lengths - the individual sparse matrix blocks. The integer 0 can be used to mark an all-zero block, if its size can be determined from the other blocks. row_sizes : sequence, optional The required row sizes of the blocks. It can be either a sequence of non-negative integers, or a sequence of slices with non-negative limits. In any case the sizes have to be compatible with the true block sizes. This allows to extend the matrix shape as needed and to specify sizes of all-zero blocks. col_sizes : sequence, optional The required column sizes of the blocks. See `row_sizes`. Returns ------- mtx : coo_matrix The sparse matrix (COO format) composed from the given blocks. Examples -------- Stokes-like problem matrix. >>> import scipy.sparse as sp >>> A = sp.csr_matrix([[1, 0], [0, 1]]) >>> B = sp.coo_matrix([[1, 1]]) >>> K = compose_sparse([[A, B.T], [B, 0]]) >>> print K.todense() [[1 0 1] [0 1 1] [1 1 0]] """ if not len(blocks): raise ValueError('no matrix blocks!') if row_sizes is None: row_sizes = nm.array([-1] * len(blocks)) else: assert_(len(row_sizes) == len(blocks)) if col_sizes is None: col_sizes = nm.array([-1] * len(blocks[0])) else: assert_(len(col_sizes) == len(blocks[0])) rs, is_slice_r = _normalize_sizes(row_sizes) cs, is_slice_c = _normalize_sizes(col_sizes) for ir, row in enumerate(blocks): for ic, mtx in enumerate(row): if isinstance(mtx, int) and (mtx == 0): continue if ic >= len(col_sizes): raise ValueError('invalid row size at (%d, %d)!' % (ir, ic)) if rs[ir] == -1: rs[ir] = mtx.shape[0] elif rs[ir] != mtx.shape[0]: msg = 'incompatible matrix block row size at (%d, %d)!' \ % (ir, ic) raise ValueError(msg) if cs[ic] == -1: cs[ic] = mtx.shape[1] elif cs[ic] != mtx.shape[1]: msg = 'incompatible matrix block column size at (%d, %d)!' \ % (ic, ic) raise ValueError(msg) if nm.any(rs == -1): raise ValueError('incomplete row block sizes! (%s)' % row_sizes) if nm.any(cs == -1): raise ValueError('incomplete column block sizes! (%s)' % col_sizes) if is_slice_r: n_row = row_sizes[-1].stop row_offsets = nm.r_[[ii.start for ii in row_sizes], n_row] else: row_offsets = nm.cumsum(nm.r_[0, rs]) n_row = row_offsets[-1] if is_slice_c: n_col = col_sizes[-1].stop col_offsets = nm.r_[[ii.start for ii in col_sizes], n_col] else: col_offsets = nm.cumsum(nm.r_[0, cs]) n_col = col_offsets[-1] rows = [] cols = [] datas = [] for ir, row in enumerate(blocks): for ic, mtx in enumerate(row): if isinstance(mtx, int) and (mtx == 0): continue aux = sp.coo_matrix(mtx) rows.append(aux.row + row_offsets[ir]) cols.append(aux.col + col_offsets[ic]) datas.append(aux.data) rows = nm.concatenate(rows) cols = nm.concatenate(cols) datas = nm.concatenate(datas) mtx = sp.coo_matrix((datas, (rows, cols)), shape=(n_row, n_col)) return mtx def infinity_norm(mtx): """ Infinity norm of a sparse matrix (maximum absolute row sum). Parameters ---------- mtx : spmatrix or array The sparse matrix. Returns ------- norm : float Infinity norm of the matrix. Notes ----- - This serves as an upper bound on spectral radius. - CSR and CSC avoid copying `indices` and `indptr` arrays. - inspired by PyAMG See Also -------- scipy.linalg.norm : dense matrix norms """ ones = nm.ones(mtx.shape[1], dtype=mtx.dtype) if sp.isspmatrix_csr(mtx) or sp.isspmatrix_csc(mtx): # Avoid copying index and ptr arrays. abs_mtx = mtx.__class__((nm.abs(mtx.data), mtx.indices ,mtx.indptr), shape=mtx.shape) norm = (abs_mtx * ones).max() elif sp.isspmatrix(mtx): norm = (abs(mtx) * ones).max() else: norm = nm.dot(nm.abs(mtx), ones).max() return norm sfepy-release_2015.1/sfepy/linalg/utils.py000066400000000000000000000340311247364230400205440ustar00rootroot00000000000000import numpy as nm from numpy.lib.stride_tricks import as_strided import numpy.linalg as nla import scipy as sc try: from numpy.core.umath_tests import matrix_multiply except: matrix_multiply = None from sfepy.base.base import assert_, insert_method, Struct def norm_l2_along_axis(ar, axis=1, n_item=None, squared=False): """Compute l2 norm of rows (axis=1) or columns (axis=0) of a 2D array. n_item ... use only the first n_item columns/rows squared ... if True, return the norm squared """ assert_(axis in [0, 1]) assert_(ar.ndim == 2) other = 1 - axis vec = nm.zeros((ar.shape[other],), dtype=nm.float64) if n_item is None: n_item = ar.shape[axis] else: n_item = min( n_item, ar.shape[axis] ) if axis == 1: for ii in xrange( n_item ): vec += ar[:,ii]**2 else: for ii in xrange( n_item ): vec += ar[ii,:]**2 if not squared: vec = nm.sqrt( vec ) return vec def normalize_vectors(vecs, eps=1e-8): """ Normalize an array of vectors in place. Parameters ---------- vecs : array The 2D array of vectors in rows. eps : float The tolerance for considering a vector to have zero norm. Such vectors are left unchanged. """ norms = norm_l2_along_axis(vecs, axis=1) ii = norms > eps vecs[ii] = vecs[ii] / norms[ii][:, None] def dets_fast(a): """ Fast determinant calculation of 3-dimensional array. Parameters ---------- a : array The input array with shape (m, n, n). Returns ------- out : array The output array with shape (m,): out[i] = det(a[i, :, :]). """ from numpy.linalg import lapack_lite from numpy.core import intc m = a.shape[0] n = a.shape[1] lapack_routine = lapack_lite.dgetrf pivots = nm.zeros((m, n), intc) flags = nm.arange(1, n + 1).reshape(1, -1) for i in xrange(m): tmp = a[i] lapack_routine(n, n, tmp, n, pivots[i], 0) sign = 1. - 2. * (nm.add.reduce(pivots != flags, axis=1) % 2) idx = nm.arange(n) d = a[:, idx, idx] absd = nm.absolute(d) sign *= nm.multiply.reduce(d / absd, axis=1) nm.log(absd, absd) logdet = nm.add.reduce(absd, axis=-1) return sign * nm.exp(logdet) def print_array_info(ar): """ Print array shape and other basic information. """ ar = nm.asanyarray(ar) print ar.shape, 'c_contiguous:', ar.flags.c_contiguous, \ 'f_contiguous:', ar.flags.f_contiguous print 'min:', ar.min(), 'mean:', ar.mean(), 'max:', ar.max() ## # 21.11.2005, c def split_range( n_item, step ): num = n_item / step out = [step] * num aux = sum( out ) if aux < n_item: out.append( n_item - aux ) return out ## # Inspired on net (ASPN Recipec). # 14.12.2005, c def permutations( seq ): ls = len( seq ) if ls <= 1: yield seq else: for ii in xrange( ls ): for perm in permutations( seq[:ii] + seq[ii+1:] ): yield [seq[ii]] + perm ## # 14.12.2005, c def cycle( bounds ): """ Cycles through all combinations of bounds, returns a generator. More specifically, let bounds=[a, b, c, ...], so cycle returns all combinations of lists [0<=i 0: zz = nm.zeros_like(indx) aux = sc.sparse.coo_matrix((ar_in, (indx, zz)), dtype=ar_in.dtype) aux = aux.tocsr().tocoo() # This sums the duplicates. ar_out[aux.row] += aux.data def unique_rows(ar, return_index=False, return_inverse=False): """ Return unique rows of a two-dimensional array `ar`. The arguments follow `numpy.unique()`. """ ar = nm.ascontiguousarray(ar) # View the rows as a 1D structured array. arv = ar.view(ar.shape[1] * [('', ar.dtype)]) out = nm.unique(arv, return_index=return_index, return_inverse=return_inverse) if isinstance(out, tuple): uarv = out[0] else: uarv = out # Restore the original dimensions. uar = uarv.view(ar.dtype).reshape((-1, ar.shape[1])) if isinstance(out, tuple): out = (uar,) + out[1:] else: out = uar return out def argsort_rows(seq): """ Returns an index array that sorts the sequence `seq`. Works along rows if `seq` is two-dimensional. """ seq = nm.asanyarray(seq) if seq.ndim == 1: ii = nm.argsort(seq) else: ii = nm.lexsort(seq.T[::-1]) return ii def map_permutations(seq1, seq2, check_same_items=False): """ Returns an index array `imap` such that `seq1[imap] == seq2`, if both sequences have the same items - this is not checked by default! In other words, finds the indices of items of `seq2` in `seq1`. """ assert_(len(seq1) == len(seq2)) seq1 = nm.asanyarray(seq1) seq2 = nm.asanyarray(seq2) i1 = argsort_rows(seq1) i2 = argsort_rows(seq2) if check_same_items: assert_(seq1.shape == seq2.shape) assert_((seq1[i1] == seq2[i2]).all()) ii = nm.argsort(i2) imap = i1[ii] return imap def mini_newton( fun, x0, dfun, i_max = 100, eps = 1e-8 ): x = x0 ii = 0 while ii < i_max: r = fun( x ) err = nla.norm( r ) ## print ii, x, r, err if err < eps: break mtx = dfun( x ) try: dx = nm.dot( nla.inv( mtx.T ), r ) except: break x = x - dx ii += 1 return x def insert_strided_axis(ar, axis, length): """ Insert a new axis of given length into an array using numpy stride tricks, i.e. no copy is made. Parameters ---------- ar : array The input array. axis : int The axis before which the new axis will be inserted. length : int The length of the inserted axis. Returns ------- out : array The output array sharing data with `ar`. Examples -------- >>> import numpy as nm >>> from sfepy.linalg import insert_strided_axis >>> ar = nm.random.rand(2, 1, 2) >>> ar array([[[ 0.18905119, 0.44552425]], [[ 0.78593989, 0.71852473]]]) >>> ar.shape (2, 1, 2) >>> ar2 = insert_strided_axis(ar, 1, 3) >>> ar2 array([[[[ 0.18905119, 0.44552425]], [[ 0.18905119, 0.44552425]], [[ 0.18905119, 0.44552425]]], [[[ 0.78593989, 0.71852473]], [[ 0.78593989, 0.71852473]], [[ 0.78593989, 0.71852473]]]]) >>> ar2.shape (2, 3, 1, 2) """ shape = list(ar.shape) shape.insert(axis, length) strides = list(ar.strides) strides.insert(axis, 0) out = as_strided(ar, shape=shape, strides=strides) return out def dot_sequences(mtx, vec, mode='AB'): """ Computes dot product for each pair of items in the two sequences. Equivalent to >>> out = nm.empty((vec.shape[0], mtx.shape[1], vec.shape[2]), >>> dtype=vec.dtype) >>> for ir in range(mtx.shape[0]): >>> out[ir] = nm.dot(mtx[ir], vec[ir]) Parameters ---------- mtx : array The array of matrices with shape `(n_item, m, n)`. vec : array The array of vectors with shape `(n_item, a)` or matrices with shape `(n_item, a, b)`. mode : one of 'AB', 'ATB', 'ABT', 'ATBT' The mode of the dot product - the corresponding axes are dotted together: 'AB' : `a = n` 'ATB' : `a = m` 'ABT' : `b = n` (*) 'ATBT' : `b = m` (*) (*) The 'BT' part is ignored for the vector second argument. Returns ------- out : array The resulting array. Notes ----- Uses `numpy.core.umath_tests.matrix_multiply()` if available, which is much faster than the default implementation. The default implementation uses `numpy.sum()` and element-wise multiplication. For r-D arrays `(n_1, ..., n_r, ?, ?)` the arrays are first reshaped to `(n_1 * ... * n_r, ?, ?)`, then the dot is performed, and finally the shape is restored to `(n_1, ..., n_r, ?, ?)`. """ if matrix_multiply is not None: if vec.ndim == mtx.ndim: squeeze = False else: squeeze = True vec = vec[..., None] if 'BT' in mode: ax = range(vec.ndim) vec = vec.transpose((ax[:-2]) + [ax[-1], ax[-2]]) if 'AT' in mode: ax = range(mtx.ndim) mtx = mtx.transpose((ax[:-2]) + [ax[-1], ax[-2]]) out = matrix_multiply(mtx, vec) if squeeze: out = out[..., 0] else: if (vec.ndim == 2) and (mtx.ndim == 3): if mode in ('AB', 'ABT'): out = nm.sum(mtx * vec[:, None, :], axis=2) else: out = nm.sum(mtx * vec[:, :, None], axis=1) elif (vec.ndim == 3) and (mtx.ndim == 3): if mode == 'AB': out = nm.empty((vec.shape[0], mtx.shape[1], vec.shape[2]), dtype=vec.dtype) for ic in range(vec.shape[2]): out[:, :, ic] = dot_sequences(mtx, vec[:, :, ic], mode=mode) elif mode == 'ABT': out = nm.empty((vec.shape[0], mtx.shape[1], vec.shape[1]), dtype=vec.dtype) for ic in range(vec.shape[1]): out[:, :, ic] = dot_sequences(mtx, vec[:, ic, :], mode=mode) elif mode == 'ATB': out = nm.empty((vec.shape[0], mtx.shape[2], vec.shape[2]), dtype=vec.dtype) for ic in range(vec.shape[2]): out[:, :, ic] = dot_sequences(mtx, vec[:, :, ic], mode=mode) elif mode == 'ATBT': out = nm.empty((vec.shape[0], mtx.shape[2], vec.shape[1]), dtype=vec.dtype) for ic in range(vec.shape[1]): out[:, :, ic] = dot_sequences(mtx, vec[:, ic, :], mode=mode) else: raise ValueError('unknown dot mode! (%s)' % mode) elif (vec.ndim >= 4) and (mtx.ndim >= 4) and (vec.ndim == mtx.ndim): mtx_seq = nm.reshape(mtx, (nm.prod(mtx.shape[0:-2], dtype=int),) + mtx.shape[-2:]) vec_seq = nm.reshape(vec, (nm.prod(vec.shape[0:-2], dtype=int),) + vec.shape[-2:]) out_seq = dot_sequences(mtx_seq, vec_seq, mode=mode) out = nm.reshape(out_seq, mtx.shape[0:-2] + out_seq.shape[-2:]) else: raise ValueError('unsupported operand shape') return out def apply_to_sequence(seq, fun, ndim, out_item_shape): """ Applies function `fun()` to each item of the sequence `seq`. An item corresponds to the last `ndim` dimensions of `seq`. Parameters ---------- seq : array The sequence array with shape `(n_1, ..., n_r, m_1, ..., m_{ndim})`. fun : function The function taking an array argument of shape of length `ndim`. ndim : int The number of dimensions of an item in `seq`. out_item_shape : tuple The shape an output item. Returns ------- out : array The resulting array of shape `(n_1, ..., n_r) + out_item_shape`. The `out_item_shape` must be compatible with the `fun`. """ n_seq = nm.prod(seq.shape[0:-ndim], dtype=int) aux = nm.reshape(seq, (n_seq,) + seq.shape[-ndim:]) out = nm.empty((n_seq,) + out_item_shape, dtype=seq.dtype) for ii, item in enumerate(aux): out[ii,:] = fun(item) out = nm.reshape(out, seq.shape[0:-ndim] + out_item_shape) return out ## # 30.08.2007, c class MatrixAction( Struct ): ## # 30.08.2007, c def from_function( fun, expected_shape, dtype ): def call( self, vec ): aux = fun( vec ) assert_( aux.shape[0] == self.shape[0] ) return nm.asanyarray( aux, dtype = self.dtype ) obj = MatrixAction( shape = expected_shape, dtype = dtype, kind = 'function' ) insert_method( obj, call ) return obj from_function = staticmethod( from_function ) ## # 30.08.2007, c def from_array( arr ): def call( self, vec ): return nm.asarray( sc.dot( self.arr, vec ) ) obj = MatrixAction( shape = arr.shape, dtype = arr.dtype, arr = arr, kind = 'array' ) insert_method( obj, call ) return obj from_array = staticmethod( from_array ) ## # 30.08.2007, c def __call__( self, vec ): return self.call( vec ) ## # 30.08.2007, c def to_array( self ): if self.kind == 'array': return self.arr else: print 'cannot make array from MatrixAction of kind %s!' % self.kind raise ValueError sfepy-release_2015.1/sfepy/mechanics/000077500000000000000000000000001247364230400175155ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/mechanics/__init__.py000066400000000000000000000000001247364230400216140ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/mechanics/contact_bodies.py000066400000000000000000000122241247364230400230500ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_, Struct import sfepy.linalg as la class ContactPlane(Struct): def __init__(self, anchor, normal, bounds): Struct.__init__(self, anchor=nm.array(anchor, dtype=nm.float64), bounds=nm.asarray(bounds, dtype=nm.float64)) self.normal = nm.asarray(normal, dtype=nm.float64) norm = nm.linalg.norm self.normal /= norm(self.normal) e3 = [0.0, 0.0, 1.0] dd = nm.dot(e3, self.normal) rot_angle = nm.arccos(dd) if nm.abs(rot_angle) < 1e-14: mtx = nm.eye(3, dtype=nm.float64) bounds2d = self.bounds[:, :2] else: rot_axis = nm.cross([0.0, 0.0, 1.0], self.normal) mtx = la.make_axis_rotation_matrix(rot_axis, rot_angle) mm = la.insert_strided_axis(mtx, 0, self.bounds.shape[0]) rbounds = la.dot_sequences(mm, self.bounds) bounds2d = rbounds[:, :2] assert_(nm.allclose(nm.dot(mtx, self.normal), e3, rtol=0.0, atol=1e-12)) self.adotn = nm.dot(self.anchor, self.normal) self.rot_angle = rot_angle self.mtx = mtx self.bounds2d = bounds2d def mask_points(self, points): mm = la.insert_strided_axis(self.mtx, 0, points.shape[0]) points2d = la.dot_sequences(mm, points)[:, :2] return la.flag_points_in_polygon2d(self.bounds2d, points2d) def get_distance(self, points): dist = la.dot_sequences(points, self.normal) - self.adotn return dist class ContactSphere(Struct): def __init__(self, centre, radius): self.centre = nm.asarray(centre) self.radius = radius def mask_points(self, points, eps): dist2 = la.norm_l2_along_axis(points - self.centre, squared=True) radius2 = self.radius**2 mask = dist2 <= ((1 + eps)**2) * radius2 return mask def get_distance(self, points): """ Get the penetration distance and normals of points w.r.t. the sphere surface. Returns ------- d : array The penetration distance. normals : array The normals from the points to the sphere centre. """ vecs = self.centre - points dist = la.norm_l2_along_axis(vecs) # Prevent zero division. ii = dist > 1e-8 normals = nm.where(ii[:, None], vecs[ii] / dist[ii][:, None], vecs[ii]) return self.radius - dist, normals def _get_derivatives(self, points): vecs = self.centre - points dist = la.norm_l2_along_axis(vecs) # Distance derivative w.r.t. point coordinates. dd = vecs / dist[:, None] normals = dd # Unit normal derivative w.r.t. point coordinates. dim = points.shape[1] ee = nm.eye(dim)[None, ...] nnt = normals[..., None] * normals[..., None, :] dn = - (ee - nnt) / dist[:, None, None] return dd, dn def plot_polygon(ax, polygon): from sfepy.postprocess.plot_dofs import _get_axes dim = polygon.shape[1] ax = _get_axes(ax, dim) pp = nm.r_[polygon, polygon[:1]] px, py = pp[:, 0], pp[:, 1] if dim == 2: ax.plot(px, py) else: pz = pp[:, 2] ax.plot(px, py, pz) return ax def plot_points(ax, points, marker, **kwargs): from sfepy.postprocess.plot_dofs import _get_axes dim = points.shape[1] ax = _get_axes(ax, dim) px, py = points[:, 0], points[:, 1] if dim == 2: ax.plot(px, py, marker, **kwargs) else: pz = points[:, 2] ax.plot(px, py, pz, marker, **kwargs) return ax if __name__ == '__main__': import matplotlib.pyplot as plt # Test and draw the plane. anchor = [1, 1, 1] normal = [2, -1, 1] bounds = [[-2, 0, 0], [2, 1, 0], [4, 3, 1], [1, 3, 1], [2, 2, 1]] cp = ContactPlane(anchor, normal, bounds) pps = 2 * nm.random.rand(20, 3) mask = cp.mask_points(pps) dist = cp.get_distance(pps) v1, v2 = la.get_perpendiculars(cp.normal) ax = plot_polygon(None, cp.bounds) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + cp.normal[None, :]]) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + v1]) ax = plot_polygon(ax, nm.r_[cp.anchor[None, :], cp.anchor[None, :] + v2]) ax = plot_points(ax, cp.anchor[None, :], 'r*') ax = plot_points(ax, pps[mask], 'bs', ms=10, mec='None') ax = plot_points(ax, pps[~mask], 'go', ms=10, mec='None') mask = dist >= 0.0 ax = plot_points(ax, pps[mask], 'r^', mec='None') ax = plot_points(ax, pps[~mask], 'kv', mec='None') # Test and draw the sphere. pps = nm.random.rand(5000, 3) centre = [0, 0.5, 0.5] radius = 0.8 cs = ContactSphere(centre, radius) mask = cs.mask_points(pps, 0.0) dist = cs.get_distance(pps) ax = plot_points(None, cs.centre[None, :], 'b*', ms=30) ax = plot_points(ax, pps[mask], 'kv') ax = plot_points(ax, pps[~mask], 'r.') plt.show() sfepy-release_2015.1/sfepy/mechanics/elastic_constants.py000066400000000000000000000104401247364230400236060ustar00rootroot00000000000000 from __future__ import division import sympy as sm names = ['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave'] bulk, lam, mu, young, poisson, p_wave = sm.symbols(names, real=True) relations = { ('mu', 'poisson', 'young') : 2*mu + 2*mu*poisson, ('p_wave', 'poisson', 'mu') : (p_wave - 2*p_wave*poisson)/(2 - 2*poisson), ('bulk', 'lam', 'poisson') : lam/(-lam + 3*bulk), ('bulk', 'poisson', 'lam') : 3*bulk*poisson/(1 + poisson), ('lam', 'poisson', 'p_wave') : (lam - lam*poisson)/poisson, ('p_wave', 'poisson', 'lam') : p_wave*poisson/(1 - poisson), ('bulk', 'young', 'p_wave') : (3*bulk*young + 9*bulk**2)/(-young + 9*bulk), ('p_wave', 'poisson', 'bulk') : (p_wave + p_wave*poisson)/(3 - 3*poisson), ('bulk', 'mu', 'p_wave') : bulk + 4*mu/3, ('lam', 'mu', 'poisson') : lam/(2*lam + 2*mu), ('bulk', 'mu', 'poisson') : (-2*mu + 3*bulk)/(2*mu + 6*bulk), ('lam', 'mu', 'p_wave') : lam + 2*mu, ('bulk', 'p_wave', 'poisson') : (-p_wave + 3*bulk)/(p_wave + 3*bulk), ('bulk', 'p_wave', 'lam') : -p_wave/2 + 3*bulk/2, ('lam', 'p_wave', 'mu') : p_wave/2 - lam/2, ('bulk', 'p_wave', 'young') : (-9*bulk*p_wave + 9*bulk**2)/(-p_wave - 3*bulk), ('bulk', 'poisson', 'p_wave') : (3*bulk - 3*bulk*poisson)/(1 + poisson), ('p_wave', 'young', 'bulk') : p_wave/2 - young/6 + (-90*p_wave*young + 9*young**2 + 81*p_wave**2)**(1/2)/18, ('bulk', 'poisson', 'young') : 3*bulk - 6*bulk*poisson, ('lam', 'mu', 'young') : (3*lam*mu + 2*mu**2)/(lam + mu), ('lam', 'p_wave', 'young') : (lam*p_wave + p_wave**2 - 2*lam**2)/(lam + p_wave), ('lam', 'young', 'poisson') : (-lam - young + (2*lam*young + young**2 + 9*lam**2)**(1/2))/(4*lam), ('bulk', 'mu', 'young') : 9*bulk*mu/(mu + 3*bulk), ('mu', 'young', 'p_wave') : (-mu*young + 4*mu**2)/(-young + 3*mu), ('bulk', 'poisson', 'mu') : (3*bulk - 6*bulk*poisson)/(2 + 2*poisson), ('mu', 'young', 'poisson') : (young - 2*mu)/(2*mu), ('mu', 'p_wave', 'bulk') : p_wave - 4*mu/3, ('lam', 'young', 'mu') : -3*lam/4 + young/4 + (2*lam*young + young**2 + 9*lam**2)**(1/2)/4, ('lam', 'poisson', 'bulk') : (lam + lam*poisson)/(3*poisson), ('lam', 'poisson', 'young') : (lam - lam*poisson - 2*lam*poisson**2)/poisson, ('mu', 'p_wave', 'lam') : p_wave - 2*mu, ('mu', 'p_wave', 'poisson') : (-p_wave + 2*mu)/(-2*p_wave + 2*mu), ('poisson', 'young', 'bulk') : young/(3 - 6*poisson), ('mu', 'p_wave', 'young') : (-3*mu*p_wave + 4*mu**2)/(mu - p_wave), ('bulk', 'young', 'lam') : (-3*bulk*young + 9*bulk**2)/(-young + 9*bulk), ('lam', 'p_wave', 'poisson') : lam/(lam + p_wave), ('bulk', 'young', 'mu') : 3*bulk*young/(-young + 9*bulk), ('bulk', 'lam', 'p_wave') : -2*lam + 3*bulk, ('lam', 'young', 'p_wave') : young/2 - lam/2 + (2*lam*young + young**2 + 9*lam**2)**(1/2)/2, ('bulk', 'young', 'poisson') : (-2*young + 6*bulk)/(12*bulk), ('poisson', 'young', 'lam') : poisson*young/(1 - poisson - 2*poisson**2), ('mu', 'young', 'lam') : (-mu*young + 2*mu**2)/(young - 3*mu), ('lam', 'poisson', 'mu') : (lam - 2*lam*poisson)/(2*poisson), ('bulk', 'lam', 'mu') : -3*lam/2 + 3*bulk/2, ('poisson', 'young', 'mu') : young/(2 + 2*poisson), ('lam', 'p_wave', 'bulk') : p_wave/3 + 2*lam/3, ('p_wave', 'young', 'poisson') : (young - p_wave + (-10*p_wave*young + young**2 + 9*p_wave**2)**(1/2))/(4*p_wave), ('p_wave', 'young', 'mu') : young/8 + 3*p_wave/8 - (-10*p_wave*young + young**2 + 9*p_wave**2)**(1/2)/8, ('mu', 'poisson', 'p_wave') : (2*mu - 2*mu*poisson)/(1 - 2*poisson), ('lam', 'mu', 'bulk') : lam + 2*mu/3, ('p_wave', 'young', 'lam') : -young/4 + p_wave/4 + (-10*p_wave*young + young**2 + 9*p_wave**2)**(1/2)/4, ('bulk', 'mu', 'lam') : bulk - 2*mu/3, ('mu', 'poisson', 'bulk') : (2*mu + 2*mu*poisson)/(3 - 6*poisson), ('poisson', 'young', 'p_wave') : (young - poisson*young)/(1 - poisson - 2*poisson**2), ('mu', 'young', 'bulk') : mu*young/(-3*young + 9*mu), ('p_wave', 'poisson', 'young') : (p_wave - p_wave*poisson - 2*p_wave*poisson**2)/(1 - poisson), ('bulk', 'lam', 'young') : (-9*bulk*lam + 9*bulk**2)/(-lam + 3*bulk), ('mu', 'poisson', 'lam') : 2*mu*poisson/(1 - 2*poisson), ('bulk', 'p_wave', 'mu') : -3*bulk/4 + 3*p_wave/4, ('lam', 'young', 'bulk') : lam/2 + young/6 + (18*lam*young + 9*young**2 + 81*lam**2)**(1/2)/18 } sfepy-release_2015.1/sfepy/mechanics/matcoefs.py000066400000000000000000000323241247364230400216740ustar00rootroot00000000000000# -*- coding: utf-8 -*- """ Conversion of material parameters and other utilities. """ import os import numpy as nm from sfepy.base.base import Struct def lame_from_youngpoisson(young, poisson, plane='strain'): r""" Compute Lamé parameters from Young's modulus and Poisson's ratio. The relationship between Lamé parameters and Young's modulus, Poisson's ratio (see [1],[2]): .. math:: \lambda = {\nu E \over (1+\nu)(1-2\nu)},\qquad \mu = {E \over 2(1+\nu)} The plain stress hypothesis: .. math:: \bar\lambda = {2\lambda\mu \over \lambda + 2\mu} [1] I.S. Sokolnikoff: Mathematical Theory of Elasticity. New York, 1956. [2] T.J.R. Hughes: The Finite Element Method, Linear Static and Dynamic Finite Element Analysis. New Jersey, 1987. """ mu = young/(2.0*(1.0 + poisson)) lam = young*poisson/((1.0 + poisson)*(1.0 - 2.0*poisson)) if plane == 'stress': lam = 2*lam*mu/(lam + 2*mu) return lam, mu def stiffness_from_lame(dim, lam, mu): r""" Compute stiffness tensor corresponding to Lamé parameters. .. math:: {\bm D}_{(2D)} = \begin{bmatrix} \lambda + 2\mu & \lambda & 0\\ \lambda & \lambda + 2\mu & 0\\ 0 & 0 & \mu \end{bmatrix} .. math:: {\bm D}_{(3D)} = \begin{bmatrix} \lambda + 2\mu & \lambda & \lambda & 0 & 0 & 0\\ \lambda & \lambda + 2\mu & \lambda & 0 & 0 & 0 \\ \lambda & \lambda & \lambda + 2\mu & 0 & 0 & 0 \\ 0 & 0 & 0 & \mu & 0 & 0 \\ 0 & 0 & 0 & 0 & \mu & 0 \\ 0 & 0 & 0 & 0 & 0 & \mu\\ \end{bmatrix} """ sym = (dim + 1) * dim / 2 o = nm.array([1.] * dim + [0.] * (sym - dim), dtype=nm.float64) oot = nm.outer(o, o)[None, ...] do1 = nm.diag(o + 1.0)[None, ...] lam = nm.array(lam, ndmin=1)[:, None, None] mu = nm.array(mu, ndmin=1)[:, None, None] return (lam * oot + mu * do1).squeeze() def stiffness_from_youngpoisson(dim, young, poisson, plane='strain'): """ Compute stiffness tensor corresponding to Young's modulus and Poisson's ratio. """ lam, mu = lame_from_youngpoisson(young, poisson, plane) return stiffness_from_lame(dim, lam, mu) def stiffness_from_lame_mixed(dim, lam, mu): r""" Compute stiffness tensor corresponding to Lamé parameters for mixed formulation. .. math:: {\bm D}_{(2D)} = \begin{bmatrix} \widetilde\lambda + 2\mu & \widetilde\lambda & 0\\ \widetilde\lambda & \widetilde\lambda + 2\mu & 0\\ 0 & 0 & \mu \end{bmatrix} .. math:: {\bm D}_{(3D)} = \begin{bmatrix} \widetilde\lambda + 2\mu & \widetilde\lambda & \widetilde\lambda & 0 & 0 & 0\\ \widetilde\lambda & \widetilde\lambda + 2\mu & \widetilde\lambda & 0 & 0 & 0 \\ \widetilde\lambda & \widetilde\lambda & \widetilde\lambda + 2\mu & 0 & 0 & 0 \\ 0 & 0 & 0 & \mu & 0 & 0 \\ 0 & 0 & 0 & 0 & \mu & 0 \\ 0 & 0 & 0 & 0 & 0 & \mu\\ \end{bmatrix} where .. math:: \widetilde\lambda = -{2\over 3} \mu """ lam = - 2.0 / 3.0 * mu return stiffness_from_lame(dim, lam, mu) def stiffness_from_youngpoisson_mixed(dim, young, poisson, plane='strain'): """ Compute stiffness tensor corresponding to Young's modulus and Poisson's ratio for mixed formulation. """ lam, mu = lame_from_youngpoisson(young, poisson, plane) return stiffness_from_lame_mixed(dim, lam, mu) def bulk_from_lame(lam, mu): r""" Compute bulk modulus from Lamé parameters. .. math:: \gamma = \lambda + {2 \over 3} \mu """ return lam + 2.0 * mu / 3.0 def bulk_from_youngpoisson(young, poisson, plane='strain'): """ Compute bulk modulus corresponding to Young's modulus and Poisson's ratio. """ lam, mu = lame_from_youngpoisson(young, poisson, plane) return bulk_from_lame(lam, mu) elastic_constants_relations = { } class ElasticConstants(Struct): r""" Conversion formulas for various groups of elastic constants. The elastic constants supported are: - :math:`E` : Young's modulus - :math:`\nu` : Poisson's ratio - :math:`K` : bulk modulus - :math:`\lambda` : Lamé's first parameter - :math:`\mu, G` : shear modulus, Lamé's second parameter - :math:`M` : P-wave modulus, longitudinal wave modulus The elastic constants are referred to by the following keyword arguments: young, poisson, bulk, lam, mu, p_wave. Exactly two of them must be provided to the __init__() method. Examples -------- - basic usage:: >>> from sfepy.mechanics.matcoefs import ElasticConstants >>> ec = ElasticConstants(lam=1.0, mu=1.5) >>> ec.young 3.6000000000000001 >>> ec.poisson 0.20000000000000001 >>> ec.bulk 2.0 >>> ec.p_wave 4.0 >>> ec.get(['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave']) [2.0, 1.0, 1.5, 3.6000000000000001, 0.20000000000000001, 4.0] - reinitialize existing instance:: >>> ec.init(p_wave=4.0, bulk=2.0) >>> ec.get(['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave']) [2.0, 1.0, 1.5, 3.6000000000000001, 0.20000000000000001, 4.0] """ def __init__(self, young=None, poisson=None, bulk=None, lam=None, mu=None, p_wave=None, _regenerate_relations=False): """ Set exactly two of the elastic constants, and compute the remaining. """ self.names = ['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave'] if _regenerate_relations: self.relations = self._construct_relations() else: import elastic_constants as ec self.relations = ec.relations self.ec = ec ## print sorted(self.relations.keys()) ## print len(self.relations) self.init(young=young, poisson=poisson, bulk=bulk, lam=lam, mu=mu, p_wave=p_wave) def _construct_relations(self): """ Construct the dictionary of all relations among the six elastic constants and save it as `elastic_constants.py` module, that can be imported for reuse. Users should not call this! """ import sympy as sm relations = {} def _expand_keys(sols): for key, val in sols.iteritems(): if len(val) == 2 and (key.name == 'poisson'): val = val[0] else: val = val[-1] skey = tuple(sorted([ii.name for ii in val.atoms() if ii.is_Symbol])) + (key.name,) if skey in relations: print '!', skey relations[skey] = val bulk, lam, mu, young, poisson, p_wave = sm.symbols(self.names, real=True) _expand_keys(sm.solve(bulk - (lam + 2 * mu / 3))) _expand_keys(sm.solve(young - (mu * (3 * lam + 2 * mu) / (lam + mu)))) _expand_keys(sm.solve(poisson - (lam / (2 * (lam + mu))))) _expand_keys(sm.solve(p_wave - (lam + 2 * mu))) _expand_keys(sm.solve(bulk - (young / (3 * (1 - 2 * poisson))))) _expand_keys(sm.solve(p_wave - ((young * (1 - poisson)) / ((1 + poisson) * (1 - 2 * poisson))))) # Choose the correct root manually. ## relations[('p_wave', 'young', 'poisson')] \ ## = (young - p_wave + (-10*p_wave*young + young**2 + ## 9*p_wave**2)**(0.5))/(4*p_wave) _expand_keys(sm.solve(lam - (young * poisson / ((1 + poisson) * (1 - 2 * poisson))))) # Choose the correct root. ## relations[('lam', 'young', 'poisson')] \ ## = (lam + young - (2*lam*young + young**2 + ## 9*(lam**2))**(0.5))/(-4*lam) _expand_keys(sm.solve(mu - (young / (2 * (1 + poisson))))) _expand_keys(sm.solve(bulk - (young * mu / (3 * (3 * mu - young))))) _expand_keys(sm.solve(p_wave - (mu * (4 * mu - young) / (3 * mu - young)))) _expand_keys(sm.solve(young - (9 * bulk * (bulk - lam) / (3 * bulk - lam)))) _expand_keys(sm.solve(poisson - (lam / (3 * bulk - lam)))) _expand_keys(sm.solve(p_wave - (3 * bulk - 2 * lam))) _expand_keys(sm.solve(poisson - ((3 * bulk - 2 * mu) / (2 * (3 * bulk + mu))))) _expand_keys(sm.solve(p_wave - (bulk + 4 * mu / 3))) _expand_keys(sm.solve(p_wave - (lam * (1 - poisson) / poisson))) _expand_keys(sm.solve(p_wave - (2 * mu * (1 - poisson) / (1 - 2 * poisson)))) _expand_keys(sm.solve(p_wave - (3 * bulk * (1 - poisson) / (1 + poisson)))) _expand_keys(sm.solve(p_wave - (3 * bulk * (3 * bulk + young) / (9 * bulk - young)))) _expand_keys(sm.solve(young - ((lam*p_wave + p_wave**2 - 2*lam**2) / (lam + p_wave)))) fd = open(os.path.join(os.path.dirname(__file__), 'elastic_constants.py'), 'w') fd.write(""" from __future__ import division import sympy as sm names = ['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave'] bulk, lam, mu, young, poisson, p_wave = sm.symbols(names, real=True) relations = { %s } """ % ',\n'.join([' %s : %s' % (key, val) for key, val in relations.iteritems()])) fd.close() return relations def init(self, young=None, poisson=None, bulk=None, lam=None, mu=None, p_wave=None): """ Set exactly two of the elastic constants, and compute the remaining. (Re)-initializes the existing instance of ElasticConstants. """ Struct.__init__(self, young=young, poisson=poisson, bulk=bulk, lam=lam, mu=mu, p_wave=p_wave) values = {} for key, val in self.__dict__.iteritems(): if (key in self.names) and (val is not None): sym = getattr(self.ec, key) values[sym] = val known = values.keys() if len(known) != 2: raise ValueError('exactly two elastic constants must be provided!') known = [ii.name for ii in known] unknown = set(self.names).difference(known) for name in unknown: key = tuple(sorted(known)) + (name,) val = float(self.relations[key].n(subs=values)) setattr(self, name, val) def get(self, names): """ Get the named elastic constants. """ out = [getattr(self, name) for name in names] return out class TransformToPlane(Struct): """ Transformations of constitutive law coefficients of 3D problems to 2D. """ def __init__(self, iplane=None): """ Parameters ---------- iplane : list The vector of indices denoting the plane, e.g.: [0, 1] """ if iplane is None: iplane = [0, 1] # Choose the "master" variables and the "slave" ones # ... for vectors i_m = nm.sort(iplane) i_s = nm.setdiff1d(nm.arange(3), i_m) # ... for second order tensors (symmetric storage) i_ms = {(0, 1) : [0, 1, 3], (0, 2) : [0, 2, 4], (1, 2) : [1, 2, 5]}[tuple(i_m)] i_ss = nm.setdiff1d(nm.arange(6), i_ms) Struct.__init__(self, iplane=iplane, i_m=i_m, i_s=i_s, i_ms=i_ms, i_ss=i_ss) def tensor_plane_stress(self, c3=None, d3=None, b3=None): """ Transforms all coefficients of the piezoelectric constitutive law from 3D to plane stress problem in 2D: strain/stress ordering: 11 22 33 12 13 23. If `d3` is None, uses only the stiffness tensor `c3`. Parameters ---------- c3 : array The stiffness tensor. d3 : array The dielectric tensor. b3 : array The piezoelectric coupling tensor. """ mg = nm.meshgrid cs = c3[mg(self.i_ss, self.i_ss)] cm = c3[mg(self.i_ss, self.i_ms)].T if d3 is None: # elasticity only. A = cs Feps = cm Ainv = nm.linalg.inv(A) c2 = c3[mg(self.i_ms, self.i_ms)] \ - nm.dot(Feps.T, nm.dot(Ainv, Feps)) return c2 else: dm = d3[mg(self.i_s, self.i_m)].T ds = d3[mg(self.i_s, self.i_s)] ii = mg(self.i_s, self.i_ss) A = nm.r_[nm.c_[cs, b3[ii]], nm.c_[b3[ii].T, -ds]] #=> sym !!! F = nm.r_[nm.c_[cm, b3[mg(self.i_m, self.i_ss)]], nm.c_[b3[mg(self.i_s, self.i_ms)].T, -dm]] Feps = F[:, :3] FE = F[:, 3:] Ainv = nm.linalg.inv(A) c2 = c3[mg(self.i_ms, self.i_ms)] \ - nm.dot(Feps.T, nm.dot(Ainv, Feps)) d2 = d3[mg(self.i_m, self.i_m)] \ - nm.dot(FE.T, nm.dot(Ainv, FE)) b2 = b3[mg(self.i_m, self.i_ms)].T \ - nm.dot(FE.T, nm.dot(Ainv, Feps)) return c2, d2, b2 sfepy-release_2015.1/sfepy/mechanics/membranes.py000066400000000000000000000260361247364230400220470ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.linalg import norm_l2_along_axis as norm from sfepy.linalg import dot_sequences, insert_strided_axis from sfepy.discrete.fem.poly_spaces import PolySpace from sfepy.discrete.fem.mappings import VolumeMapping from sfepy.mechanics.tensors import dim2sym def create_transformation_matrix(coors): """ Create a transposed coordinate transformation matrix, that transforms 3D coordinates of element face nodes so that the transformed nodes are in the `x-y` plane. The rotation is performed w.r.t. the first node of each face. Parameters ---------- coors : array The coordinates of element nodes, shape `(n_el, n_ep, dim)`. Returns ------- mtx_t : array The transposed transformation matrix :math:`T`, i.e. :math:`X_{inplane} = T^T X_{3D}`. Notes ----- :math:`T = [t_1, t_2, n]`, where :math:`t_1`, :math:`t_2`, are unit in-plane (column) vectors and :math:`n` is the unit normal vector, all mutually orthonormal. """ # Local coordinate system. t1 = coors[:, 1, :] - coors[:, 0, :] t2 = coors[:, -1, :] - coors[:, 0, :] n = nm.cross(t1, t2) t2 = nm.cross(n, t1) t1 = t1 / norm(t1)[:, None] t2 = t2 / norm(t2)[:, None] n = n / norm(n)[:, None] # Coordinate transformation matrix (transposed!). mtx_t = nm.concatenate((t1[:, :, None], t2[:, :, None], n[:, :, None]), axis=2) return mtx_t def transform_asm_vectors(out, mtx_t): """ Transform vector assembling contributions to global coordinate system, one node at a time. Parameters ---------- out : array The array of vectors, transformed in-place. mtx_t : array The transposed transformation matrix :math:`T`, see :func:`create_transformation_matrix`. """ n_ep = out.shape[2] / mtx_t.shape[2] for iep in range(n_ep): ir = slice(iep, None, n_ep) fn = out[:, 0, ir, 0] fn[:] = dot_sequences(mtx_t, fn, 'AB') def transform_asm_matrices(out, mtx_t): """ Transform matrix assembling contributions to global coordinate system, one node at a time. Parameters ---------- out : array The array of matrices, transformed in-place. mtx_t : array The transposed transformation matrix :math:`T`, see :func:`create_transformation_matrix`. """ n_ep = out.shape[-1] / mtx_t.shape[-1] for iepr in range(n_ep): ir = slice(iepr, None, n_ep) for iepc in range(n_ep): ic = slice(iepc, None, n_ep) fn = out[:, 0, ir, ic] fn[:] = dot_sequences(dot_sequences(mtx_t, fn, 'AB'), mtx_t, 'ABT') def create_mapping(coors, gel, order): """ Create mapping from transformed (in `x-y` plane) element faces to reference element faces. Parameters ---------- coors : array The transformed coordinates of element nodes, shape `(n_el, n_ep, dim)`. The function verifies that the all `z` components are zero. gel : GeometryElement instance The geometry element corresponding to the faces. order : int The polynomial order of the mapping. Returns ------- mapping : VolumeMapping instance The reference element face mapping. """ # Strip 'z' component (should be 0 now...). assert_(nm.allclose(coors[:, :, -1], 0.0, rtol=1e-12, atol=1e-12)) coors = coors[:, :, :-1].copy() # Mapping from transformed element to reference element. sh = coors.shape seq_coors = coors.reshape((sh[0] * sh[1], sh[2])) seq_conn = nm.arange(seq_coors.shape[0], dtype=nm.int32) seq_conn.shape = sh[:2] mapping = VolumeMapping(seq_coors, seq_conn, gel=gel, order=1) return mapping def describe_geometry(ig, field, region, integral): """ Describe membrane geometry in a given region. Parameters ---------- ig : int The element group index. field : Field instance The field defining the FE approximation. region : Region instance The surface region to describe. integral : Integral instance The integral defining the quadrature points. Returns ------- mtx_t : array The transposed transformation matrix :math:`T`, see :func:`create_transformation_matrix`. membrane_geo : CMapping instance The mapping from transformed elements to a reference elements. """ # Coordinates of element vertices. sg, _ = field.get_mapping(ig, region, integral, 'surface') sd = field.aps[ig].surface_data[region.name] coors = field.coors[sd.econn[:, :sg.n_ep]] # Coordinate transformation matrix (transposed!). mtx_t = create_transformation_matrix(coors) # Transform coordinates to the local coordinate system. coors_loc = dot_sequences((coors - coors[:, 0:1, :]), mtx_t) # Mapping from transformed elements to reference elements. gel = field.gel.surface_facet vm = create_mapping(coors_loc, gel, 1) qp = integral.get_qp(gel.name) ps = PolySpace.any_from_args(None, gel, field.approx_order) membrane_geo = vm.get_mapping(qp[0], qp[1], poly_space=ps) return mtx_t, membrane_geo def describe_deformation(el_disps, bfg): """ Describe deformation of a thin incompressible 2D membrane in 3D space, composed of flat finite element faces. The coordinate system of each element (face), i.e. the membrane mid-surface, should coincide with the `x`, `y` axes of the `x-y` plane. Parameters ---------- el_disps : array The displacements of element nodes, shape `(n_el, n_ep, dim)`. bfg : array The in-plane base function gradients, shape `(n_el, n_qp, dim-1, n_ep)`. Returns ------- mtx_c ; array The in-plane right Cauchy-Green deformation tensor :math:`C_{ij}`, :math:`i, j = 1, 2`. c33 : array The component :math:`C_{33}` computed from the incompressibility condition. mtx_b : array The discrete Green strain variation operator. """ sh = bfg.shape n_ep = sh[3] dim = el_disps.shape[2] sym2 = dim2sym(dim-1) # Repeat el_disps by number of quadrature points. el_disps_qp = insert_strided_axis(el_disps, 1, bfg.shape[1]) # Transformed (in-plane) displacement gradient with # shape (n_el, n_qp, 2 (-> a), 3 (-> i)), du_i/dX_a. du = dot_sequences(bfg, el_disps_qp) # Deformation gradient F w.r.t. in plane coordinates. # F_{ia} = dx_i / dX_a, # a \in {1, 2} (rows), i \in {1, 2, 3} (columns). mtx_f = du + nm.eye(dim - 1, dim, dtype=du.dtype) # Right Cauchy-Green deformation tensor C. # C_{ab} = F_{ka} F_{kb}, a, b \in {1, 2}. mtx_c = dot_sequences(mtx_f, mtx_f, 'ABT') # C_33 from incompressibility. c33 = 1.0 / (mtx_c[..., 0, 0] * mtx_c[..., 1, 1] - mtx_c[..., 0, 1]**2) # Discrete Green strain variation operator. mtx_b = nm.empty((sh[0], sh[1], sym2, dim * n_ep), dtype=nm.float64) mtx_b[..., 0, 0*n_ep:1*n_ep] = bfg[..., 0, :] * mtx_f[..., 0, 0:1] mtx_b[..., 0, 1*n_ep:2*n_ep] = bfg[..., 0, :] * mtx_f[..., 0, 1:2] mtx_b[..., 0, 2*n_ep:3*n_ep] = bfg[..., 0, :] * mtx_f[..., 0, 2:3] mtx_b[..., 1, 0*n_ep:1*n_ep] = bfg[..., 1, :] * mtx_f[..., 1, 0:1] mtx_b[..., 1, 1*n_ep:2*n_ep] = bfg[..., 1, :] * mtx_f[..., 1, 1:2] mtx_b[..., 1, 2*n_ep:3*n_ep] = bfg[..., 1, :] * mtx_f[..., 1, 2:3] mtx_b[..., 2, 0*n_ep:1*n_ep] = bfg[..., 1, :] * mtx_f[..., 0, 0:1] \ + bfg[..., 0, :] * mtx_f[..., 1, 0:1] mtx_b[..., 2, 1*n_ep:2*n_ep] = bfg[..., 0, :] * mtx_f[..., 1, 1:2] \ + bfg[..., 1, :] * mtx_f[..., 0, 1:2] mtx_b[..., 2, 2*n_ep:3*n_ep] = bfg[..., 0, :] * mtx_f[..., 1, 2:3] \ + bfg[..., 1, :] * mtx_f[..., 0, 2:3] return mtx_c, c33, mtx_b def get_tangent_stress_matrix(stress, bfg): """ Get the tangent stress matrix of a thin incompressible 2D membrane in 3D space, given a stress. Parameters ---------- stress : array The components `11, 22, 12` of the second Piola-Kirchhoff stress tensor, shape `(n_el, n_qp, 3, 1)`. bfg : array The in-plane base function gradients, shape `(n_el, n_qp, dim-1, n_ep)`. Returns ------- mtx : array The tangent stress matrix, shape `(n_el, n_qp, dim*n_ep, dim*n_ep)`. """ n_el, n_qp, dim, n_ep = bfg.shape dim += 1 mtx = nm.zeros((n_el, n_qp, dim * n_ep, dim * n_ep), dtype=nm.float64) g1tg1 = dot_sequences(bfg[..., 0:1, :], bfg[..., 0:1, :], 'ATB') g1tg2 = dot_sequences(bfg[..., 0:1, :], bfg[..., 1:2, :], 'ATB') g2tg1 = dot_sequences(bfg[..., 1:2, :], bfg[..., 0:1, :], 'ATB') g2tg2 = dot_sequences(bfg[..., 1:2, :], bfg[..., 1:2, :], 'ATB') aux = stress[..., 0:1, :] * g1tg1 + stress[..., 2:3, :] * g1tg2 \ + stress[..., 2:3, :] * g2tg1 + stress[..., 1:2, :] * g2tg2 mtx[..., 0 * n_ep : 1 * n_ep, 0 * n_ep : 1 * n_ep] = aux mtx[..., 1 * n_ep : 2 * n_ep, 1 * n_ep : 2 * n_ep] = aux mtx[..., 2 * n_ep : 3 * n_ep, 2 * n_ep : 3 * n_ep] = aux return mtx def get_invariants(mtx_c, c33): """ Get the first and second invariants of the right Cauchy-Green deformation tensor describing deformation of an incompressible membrane. Parameters ---------- mtx_c ; array The in-plane right Cauchy-Green deformation tensor :math:`C_{ij}`, :math:`i, j = 1, 2`, shape `(n_el, n_qp, dim-1, dim-1)`. c33 : array The component :math:`C_{33}` computed from the incompressibility condition, shape `(n_el, n_qp)`. Returns ------- i1 : array The first invariant of :math:`C_{ij}`. i2 : array The second invariant of :math:`C_{ij}`. """ i1 = mtx_c[..., 0, 0] + mtx_c[..., 1, 1] + c33 i2 = mtx_c[..., 0, 0] * mtx_c[..., 1,1] \ + mtx_c[..., 1, 1] * c33 \ + mtx_c[..., 0, 0] * c33 \ - mtx_c[..., 0, 1]**2 return i1, i2 def get_green_strain_sym3d(mtx_c, c33): r""" Get the 3D Green strain tensor in symmetric storage. Parameters ---------- mtx_c ; array The in-plane right Cauchy-Green deformation tensor :math:`C_{ij}`, :math:`i, j = 1, 2`, shape `(n_el, n_qp, dim-1, dim-1)`. c33 : array The component :math:`C_{33}` computed from the incompressibility condition, shape `(n_el, n_qp)`. Returns ------- mtx_e : array The membrane Green strain :math:`E_{ij} = \frac{1}{2} (C_{ij}) - \delta_{ij}`, symmetric storage: items (11, 22, 33, 12, 13, 23), shape `(n_el, n_qp, sym, 1)`. """ n_el, n_qp, dm, _ = mtx_c.shape dim = dm + 1 sym = dim2sym(dim) mtx_e = nm.empty((n_el, n_qp, sym, 1), dtype=mtx_c.dtype) mtx_e[..., 0, 0] = 0.5 * (mtx_c[..., 0, 0] - 1.0) mtx_e[..., 1, 0] = 0.5 * (mtx_c[..., 1, 1] - 1.0) mtx_e[..., 2, 0] = 0.5 * (c33 - 1.0) mtx_e[..., 3, 0] = 0.5 * mtx_c[..., 0, 1] mtx_e[..., 4:, 0] = 0.0 return mtx_e sfepy-release_2015.1/sfepy/mechanics/setup.py000066400000000000000000000006771247364230400212410ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/mechanics/tensors.py000066400000000000000000000236521247364230400215740ustar00rootroot00000000000000""" Functions to compute some tensor-related quantities usual in continuum mechanics. """ import numpy as nm import numpy.linalg as nla from sfepy.base.base import assert_, Struct from sfepy.linalg \ import apply_to_sequence, dot_sequences, make_axis_rotation_matrix def dim2sym(dim): """ Given the space dimension, return the symmetric storage size. """ return (dim + 1) * dim / 2 def sym2dim(sym): """ Given the symmetric storage size, return the space dimension. Notes ----- This function works for any space dimension. """ val = int(-0.5 + nm.sqrt(2 * sym + 0.25)) assert_(dim2sym(val) == sym) return val def get_full_indices(dim): """ The indices for converting the symmetric storage to the full storage. """ return { 2 : [[0, 2], [2, 1]], 3 : [[0, 3, 4], [3, 1, 5], [4, 5, 2]], }[dim] def get_sym_indices(dim): """ The indices for converting the full storage to the symmetric storage. """ return { 2 : [0, 3, 1], 3 : [0, 4, 8, 1, 2, 5], }[dim] def get_non_diagonal_indices(dim): """ The non_diagonal indices for the full vector storage. """ return { 2 : ([1], [2]), 3 : ([1, 2, 5], [3, 6, 7]), }[dim] def get_trace(tensor, sym_storage=True): """ The trace of a tensor. """ if sym_storage: dim = sym2dim(tensor.shape[1]) trace = nm.sum(tensor[:,:dim], axis=1) else: trace = nm.trace(tensor, axis1=1, axis2=2) return trace def get_volumetric_tensor(tensor, sym_storage=True): """ The volumetric part of a tensor. """ dim = tensor.shape[1] if sym_storage: dim = sym2dim(dim) trace = get_trace(tensor, sym_storage=sym_storage) val = trace / float(dim) if sym_storage: vt = nm.zeros_like(tensor) vt[:,:dim] = val[:,None] else: vt = val[:,None,None] * nm.eye(dim, dtype=nm.float64) return vt def get_deviator(tensor, sym_storage=True): """ The deviatoric part (deviator) of a tensor. """ vt = get_volumetric_tensor(tensor, sym_storage=sym_storage) dev = tensor - vt return dev def get_von_mises_stress(stress, sym_storage=True): r""" Given a symmetric stress tensor, compute the von Mises stress (also known as Equivalent tensile stress). Notes ----- .. math:: \sigma_V = \sqrt{\frac{(\sigma_{11} - \sigma_{22})^2 + (\sigma_{22} - \sigma_{33})^2 + (\sigma_{11} - \sigma_{33})^2 + 6 (\sigma_{12}^2 + \sigma_{13}^2 + \sigma_{23}^2)}{2}} """ dim = stress.shape[1] if sym_storage: dim = sym2dim(dim) if dim == 2: if sym_storage: s11 = stress[:,0] s22 = stress[:,1] s12 = stress[:,2] else: s11 = stress[:,0,0] s22 = stress[:,1,1] s12 = stress[:,0,1] vms = nm.sqrt(s11**2 - s11*s22 + s22**2 + 3*s12**2)[:,None] else: if sym_storage: s11 = stress[:,0] s22 = stress[:,1] s33 = stress[:,2] s12 = stress[:,3] s13 = stress[:,4] s23 = stress[:,5] else: s11 = stress[:,0,0] s22 = stress[:,1,1] s33 = stress[:,2,2] s12 = stress[:,0,1] s13 = stress[:,0,2] s23 = stress[:,1,2] vms = nm.sqrt(0.5 * ((s11 - s22)**2 + (s22 - s33)**2 + (s11 - s33)**2 + 6.0 * (s12**2 + s13**2 + s23**2)))[:,None] return vms def get_t4_from_t2s(t2s): """ Get the full 4D tensor with major/minor symmetries from its 2D matrix representation. Parameters ---------- t2s : array The symmetrically-stored tensor of shape (S, S), where S it the symmetric storage size. Returns ------- t4 : array The full 4D tensor of shape (D, D, D, D), where D is the space dimension. """ dim = sym2dim(t2s.shape[0]) iif = get_full_indices(dim) t4 = t2s[:, iif][iif, ...] return t4 def prepare_cylindrical_transform(coors, origin, mode='axes'): """ Prepare matrices for transforming tensors into cylindrical coordinates with the axis 'z' in a given origin. Parameters ---------- coors : array The Cartesian coordinates. origin : array of length 3 The origin. mode : 'axes' or 'data' In 'axes' (default) mode the matrix transforms data to different coordinate system, while in 'data' mode the matrix transforms the data in the same coordinate system and is transpose of the matrix in the 'axes' mode. Returns ------- mtx : array The array of transformation matrices for each coordinate in `coors`. """ assert_(mode in ['axes', 'data']) x, y = coors[:,0] - origin[0], coors[:,1] - origin[1] theta = nm.arctan2(y, x) if mode == 'data': theta = -theta mtx = nm.zeros((coors.shape[0], 3, 3), dtype=nm.float64) for ii, th in enumerate(theta): mtx[ii] = make_axis_rotation_matrix([0.0, 0.0, 1.0], th) return mtx def transform_data(data, coors=None, mode='cylindrical', mtx=None): r""" Transform vector or tensor data components between orthogonal coordinate systems in 3D using transformation matrix :math:`M`, that should express rotation of the original coordinate system to the new system denoted by :math:`\bullet'` below. For vectors: .. math:: \ul{v}' = M \cdot \ul{v} For second order tensors: .. math:: \ull{t}' = M \cdot \ull{t} \cdot M^T \mbox{or} t_{ij}' = M_{ip} M_{jq} t_{pq} For fourth order tensors: .. math:: t_{ijkl}' = M_{ip} M_{jq} M_{kr} M_{ls} t_{pqrs} Parameters ---------- data : array, shape (num, n_r) or (num, n_r, n_c) The vectors (`n_r` is 3) or tensors (symmetric storage, `n_r` is 6, `n_c`, if available, is 1 or 6) to be transformed. coors : array The Cartesian coordinates of the data. Not needed when `mtx` argument is given. mode : one of ['cylindrical'] The requested coordinate system. Not needed when `mtx` argument is given. mtx : array The array of transformation matrices :math:`M` for each data row. Returns ------- new_data : array The transformed data. """ if (coors is None) and (mtx is None): raise ValueError('one of (coors, mtx) arguments must be set!') if mtx is None: if mode == 'cylindrical': mtx = prepare_cylindrical_transform(coors, [0.0, 0.0, 0.0]) else: raise ValueError('transformation mode %s is not supported!' % mode) shape = data.shape if shape[0] != mtx.shape[0]: raise ValueError('incompatible numbers of points! (data: %d, mtx: %d)' % (shape[0], mtx.shape[0])) if shape[1] == 3: # Vectors. new_data = dot_sequences(mtx, data) elif shape[1] == 6: # Symmetric tensors. iif = get_full_indices(3) iis = get_sym_indices(3) if ((data.ndim == 2) or ((data.ndim == 3) and (shape[2] == 1))): # Second order. if data.ndim == 3: aux = data[:, iif, 0] else: aux = data[:, iif] aux2 = dot_sequences(dot_sequences(mtx, aux, 'AB'), mtx, 'ABT') assert nm.allclose(aux2[0], nm.dot(nm.dot(mtx[0], aux[0]), mtx[0].T)) aux3 = aux2.reshape((aux2.shape[0], 9)) new_data = aux3[:, iis] if data.ndim == 3: new_data = new_data[..., None] elif (data.ndim == 3) and (shape[2] == 6): # Fourth order. # Note: nm.einsum() is much slower than dot_sequences(). df = data[:, iif][..., iif] tdf = nm.einsum('apqrs,aip,ajq,akr,als->aijkl', df, mtx, mtx, mtx, mtx) tdf2 = tdf.reshape(tdf.shape[0], 9, 9) new_data = tdf2[:, :, iis][:, iis] else: raise ValueError('unsupported data shape! (%s)' % str(shape)) else: raise ValueError('unsupported data shape! (%s)' % str(shape)) assert_(new_data.shape == shape) return new_data class StressTransform(Struct): """ Encapsulates functions to convert various stress tensors in the symmetric storage given the deformation state. """ def __init__(self, def_grad, jacobian=None): """ Set :math:`\ull{F} = \pdiff{\ul{x}}{\ul{X}}` and optionally also :math:`J = \det(\ull{F})`. """ self.def_grad = nm.asarray(def_grad, dtype=nm.float64) self.n_el, self.n_qp, self.dim = self.def_grad.shape[:3] self.s2f = get_full_indices(self.dim) self.f2s = get_sym_indices(self.dim) if jacobian is None: self.jacobian = apply_to_sequence(self.def_grad, nla.det, 2, (1, 1)) else: self.jacobian = nm.asarray(jacobian, dtype=nm.float64) def _assert_symmetry(self, stress): i1, i2 = get_non_diagonal_indices(self.dim) assert_(nm.allclose(stress[:,:,i1], stress[:,:,i2])) def get_cauchy_from_2pk(self, stress_in): """ Get the Cauchy stress given the second Piola-Kirchhoff stress. .. math:: \sigma_{ij} = J^{-1} F_{ik} S_{kl} F_{jl} """ stress_in = nm.asarray(stress_in, dtype=nm.float64) stress_in_full = stress_in[:,:,self.s2f,0] val_il = dot_sequences(self.def_grad, stress_in_full) val_ij = dot_sequences(val_il, self.def_grad, mode='ABT') stress_out_full = val_ij / self.jacobian sh = stress_out_full.shape stress_out_full.shape = (sh[0], sh[1], sh[2] * sh[3]) self._assert_symmetry(stress_out_full) stress_out = nm.empty_like(stress_in) stress_out[...,0] = stress_out_full[:,:,self.f2s] return stress_out sfepy-release_2015.1/sfepy/mechanics/units.py000066400000000000000000000136211247364230400212340ustar00rootroot00000000000000""" Some utilities for work with units of physical quantities. """ try: import sympy as sm except ImportError: sm = None import numpy as nm from sfepy.base.base import get_default, invert_dict, Struct default_units_of_basic_quantities = { 'length' : 'm', 'time' : 's', 'mass' : 'kg', 'temperature' : 'C', } # Cannot use N for Newton as it is a sympy function... derived_units = { 'Newton' : '(kg * m) / s**2', 'Pa' : 'kg / (m * s**2)', # N / m**2 'J' : '(kg * m**2) / s**2', # N m } units_of_quantities = { 'density' : 'g / m**3', 'force' : 'Newton', 'stress' : 'Pa', 'energy' : 'J', 'thermal_expandability' : 'Pa / C', } prefixes = { 'p' : 1e-12, 'n' : 1e-9, 'mu' : 1e-6, 'm' : 1e-3, 'c' : 1e-2, '' : 1e0, 'd' : 1e1, 'k' : 1e3, 'M' : 1e6, 'G' : 1e9, 'T' : 1e12, } inv_prefixes = invert_dict(prefixes) class Unit(Struct): """ A unit of a physical quantity. The prefix and coefficient of the unit are determined from to its name. Examples -------- Construct some units: >>> from sfepy.mechanics.units import Unit >>> unit = Unit('mm') >>> print unit Unit:mm coef: 0.001 name: mm prefix: m prefix_length: 1 unit: m >>> unit = Unit('kg') >>> print unit Unit:kg coef: 1000.0 name: kg prefix: k prefix_length: 1 unit: g Get prefixes for a coefficient: >>> Unit.get_prefix(100.0) ('d', 10.0) >>> Unit.get_prefix(100.0, omit=('d',)) ('k', 0.10000000000000001) """ @staticmethod def get_prefix(coef, bias=0.1, omit=()): """ Get the prefix and numerical multiplier corresponding to a numerical coefficient, omitting prefixes in omit tuple. """ values = [val for key, val in prefixes.iteritems() if key not in omit] coefs = nm.array(values, dtype=nm.float64) coefs.sort() ii = nm.searchsorted(coefs, bias*coef, side='left') cc = coefs[ii] prefix = inv_prefixes[cc] mul = coef / cc return prefix, mul def __init__(self, name): self.name = name aux = sorted(prefixes.keys(), reverse=True) for prefix in aux: lp = len(prefix) if (prefix == name[:lp]) and (lp < len(name)): break self.prefix = prefix self.prefix_length = len(prefix) self.unit = name[self.prefix_length:] self.coef = prefixes[self.prefix] class Quantity(Struct): """ A physical quantity in a given set of basic units. Examples -------- Construct the stress quantity: >>> from sfepy.mechanics.units import Unit, Quantity >>> units = ['m', 's', 'kg', 'C'] >>> unit_set = [Unit(key) for key in units] >>> q1 = Quantity('stress', unit_set) >>> q1() '1.0 Pa' Show its unit using various prefixes: >>> q1('m') '1000.0 mPa' >>> q1('') '1.0 Pa' >>> q1('k') '0.001 kPa' >>> q1('M') '1e-06 MPa' Construct the stress quantity in another unit set: >>> units = ['mm', 's', 'kg', 'C'] >>> unit_set = [Unit(key) for key in units] >>> q2 = Quantity('stress', unit_set) >>> q2() '1.0 kPa' Show its unit using various prefixes: >>> q2('m') '1000000.0 mPa' >>> q2('') '1000.0 Pa' >>> q2('k') '1.0 kPa' >>> q2('M') '0.001 MPa' """ def __init__(self, name, unit_set): """ Create a quantity in the given unit set. The name must be listed in the units_of_quantities dictionary.""" self.name = name self.unit_set = unit_set self.unit_name = units_of_quantities[self.name] unit_expr = sm.sympify(self.unit_name) unit_expr = unit_expr.subs(derived_units) self.symbolic_value = sm.sympify(unit_expr) atoms = self.symbolic_value.atoms(sm.Symbol) self.def_units = [Unit(atom.name) for atom in atoms] self.def_names, self.def_units = self._get_dicts(self.def_units) self.names, self.units = self._get_dicts(self.unit_set) self.def_coef = float(self.symbolic_value.subs(self.def_names)) coef_dict = {} for key, val in self.def_units.iteritems(): coef_dict[val.name] = self.units[key].coef self.coef_dict = coef_dict self.raw_coef = float(self.symbolic_value.subs(self.coef_dict)) self.coef = self.raw_coef / self.def_coef def _get_dicts(self, unit_set): """Get auxiliary dictionaries for a unit set.""" name_dict = {} unit_dict = {} for unit in unit_set: name_dict[unit.name] = unit.coef unit_dict[unit.unit] = unit return name_dict, unit_dict def __call__(self, prefix=None, omit=('c', 'd')): """Get the quantity units.""" if prefix is None: prefix, mul = Unit.get_prefix(self.coef, omit=omit) else: coef = prefixes[prefix] mul = self.coef / coef return '%s %s%s' % (mul, prefix, self.unit_name) def get_consistent_unit_set(length=None, time=None, mass=None, temperature=None): """Given a set of basic units, return a consistent set of derived units for quantities listed in the units_of_quantities dictionary.""" defaults = default_units_of_basic_quantities length = get_default(length, defaults['length']) time = get_default(time, defaults['time']) mass = get_default(mass, defaults['mass']) temperature = get_default(temperature, defaults['temperature']) unit_set = [Unit(length), Unit(time), Unit(mass), Unit(temperature)] derived_units = {} for quantity_name in units_of_quantities.keys(): quantity = Quantity(quantity_name, unit_set) derived_units[quantity_name] = quantity() return derived_units sfepy-release_2015.1/sfepy/mesh/000077500000000000000000000000001247364230400165175ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/mesh/__init__.py000066400000000000000000000000001247364230400206160ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/mesh/bspline.py000066400000000000000000000563361247364230400205420ustar00rootroot00000000000000import sys import numpy as nm import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D from mpl_toolkits.mplot3d.art3d import Poly3DCollection nm_f64_eps = nm.finfo(nm.float64).eps def to_ndarray(a): if a is None: return None elif type(a) is not nm.ndarray: return nm.array(a) else: return a class BSpline: """ B-spline curve representation """ def __init__(self, degree=3, is_cyclic=False, ncp=0): """ Initialize B-spline class. Parameters ---------- degree : int The degree of the spline function. is_cyclic : bool Cyclic spline?. ncp : int The number of control points. """ self.degree = degree self.knot_type = None self.is_cyclic = is_cyclic self.ncp = ncp self.knots = None self.basis = None self.curve_coors = None self.cp_coors = None self.approx_coors = None self.t = None def set_control_points(self, coors, cyclic_form=False): """ Set the B-spline control points. Parameters ---------- coors : array The coordinates of unique control points. cyclic_form : bool Are the control points in the cyclic form? """ coors = to_ndarray(coors) if self.is_cyclic and not cyclic_form: coors = nm.vstack((coors, coors[0:self.degree,:])) self.cp_coors = coors self.ncp = coors.shape[0] def get_control_points(self): """ Get the B-spline control points. Returns ------- coors : array The coordinates of control points. """ if self.is_cyclic: return self.cp_coors[:-self.degree,:] else: return self.cp_coors def set_param(self, t): """ Set the B-spline parametric vector. Parameters ---------- t : array The parameter vector of the B-spline. """ self.t = to_ndarray(t) if self.knots is not None: endval = self.knots[-(self.degree + 1)] idxs = nm.where(t == endval)[0] t[idxs] -= nm_f64_eps def set_param_n(self, n=100, knot_range=(0.0, 1.0)): """ Generate the B-spline parametric vector using the number of steps. Parameters ---------- n : array The number of steps in the B-spline parametric vector. """ self.t = nm.linspace(knot_range[0], knot_range[1], n) self.t[-1] -= nm_f64_eps @staticmethod def basis_function_dg0(t, knots, n): """ Basis function: degree = 0 Parameters ---------- t : array The parametric vector. knots : array The knot vector. n : int The number of intervals. Returns ------- bfun : array The spline basis function evaluated for given values. """ nt = len(t) bfun = nm.zeros((nt,n), dtype=nm.float64) for ii in range(n): idxs = nm.where(nm.logical_and(knots[ii] <= t, t < knots[ii + 1]))[0] bfun[idxs,ii] = 1.0 return bfun @staticmethod def basis_function_dg(degree, t, knots, n): """ B-spline basis functions. Parameters ---------- degree : int The degree of the spline function. t : array The parametric vector. knots : array The knot vector. n : int The number of intervals. Returns ------- bfun : array The spline basis function evaluated for given values. """ if degree >= 1: bfun_dgm1 = BSpline.basis_function_dg(degree - 1, t, knots, n + 1) nt = len(t) bfun = nm.zeros((nt,n), dtype=nm.float64) for ii in range(n): c1 = t - knots[ii] c2 = knots[ii + degree] - knots[ii] if nm.abs(c2) > nm_f64_eps: bfun[:,ii] = c1 / c2 * bfun_dgm1[:,ii] c1 = knots[ii + degree + 1] - t c2 = knots[ii + degree + 1] - knots[ii + 1] if nm.abs(c2) > nm_f64_eps: bfun[:,ii] += c1 / c2 * bfun_dgm1[:,ii + 1] else: bfun = BSpline.basis_function_dg0(t, knots, n) return bfun def make_knot_vector(self, knot_type='clamped', knot_data=None, knot_range=(0.0, 1.0)): """ Create a knot vector of the requested type. Parameters ---------- knot_type : str The knot vector type: clamped/cyclic. knot_data : The extra knot data. """ if self.is_cyclic and 'cyclic' not in knot_type: knot_type = 'cyclic' ncp = self.ncp dg = self.degree n_knots = dg + ncp + 1 n_inter = n_knots - 2 * dg aux = nm.linspace(knot_range[0], knot_range[1], n_inter) if knot_type == '' or knot_type == 'cyclic': dd = aux[1] self.knots = nm.hstack((nm.arange(-dg, 0) * dd, aux, nm.arange(1, dg + 1) * dd + 1)) elif knot_type == 'clamped': self.knots = nm.array([aux[0]] * dg + list(aux) + [aux[-1]] * dg, dtype=nm.float64) else: raise NotImplementedError self.knot_type = knot_type def set_knot_vector(self, knots): """ Set the knot vector. Parameters ---------- knots : array The knot vector. """ self.knots = knots def get_knot_vector(self): """ Return the knot vector. Returns ------- knots : array The knot vector. """ return self.knots def insert_knot(self, new): """ Insert a new knot into the knot vector. Parameters ---------- new : float The new knot value. """ kn = self.knots dg = self.degree ncp = self.ncp cp = self.cp_coors idx = nm.where(nm.logical_and(kn[:-1] <= new, new < kn[1:]))[0] if len(idx) > 0: multi = len(nm.where(kn == new)[0]) if multi < dg: # new knot newkn = nm.zeros((len(kn) + 1,), dtype=nm.float64) newkn[:(idx + 1)] = kn[:(idx + 1)] newkn[idx + 1] = new newkn[(idx + 2):] = kn[(idx + 1):] u1 = idx - dg + 1 u2 = idx + 1 # new control points newcp = nm.zeros((ncp + 1, cp.shape[1]), dtype=nm.float64) newcp[:u1,:] = cp[:u1,:] newcp[u2:,:] = cp[(u2 - 1):,:] for ii in range(u1, u2): kn1 = kn[ii] kn2 = kn[ii + dg] dd = kn2 - kn1 newcp[ii,:] = (kn2 - new) / dd * cp[ii - 1] + \ (new - kn1) / dd * cp[ii] self.knots = newkn self.cp_coors = newcp self.ncp = newcp.shape[0] # evaluate B-spline base functions for new configuration self.eval_basis() else: print 'knot insertion failed: multiplicity = spline degree!' else: print 'knot insertion failed: out of bounds!' def eval_basis(self, t=None, return_val=False): """ Evaluate the basis of the bpsline. Parameters ---------- t : array The parameter vector of the B-spline. """ if t is not None: self.set_param(t) if self.knots is None: self.make_knot_vector() if self.t is None: self.set_param_n() self.basis = self.basis_function_dg(self.degree, self.t, self.knots, self.ncp) if return_val: return self.basis def eval(self, t=None, cp_coors=None): """ Evaluate the coordinates of the bpsline curve. Parameters ---------- t : array The parameter vector of the B-spline. cp_coors : array The coordinates of the control points. """ if cp_coors is not None: self.set_control_points(cp_coors) self.eval_basis(t) self.curve_coors = nm.dot(self.basis, self.cp_coors) return self.curve_coors def draw(self, ret_ax=False, ax=None): """ Draw B-spline curve. Parameters ---------- ret_ax : bool Return an axes object? ax : axes object The axes to which will be drawn. """ if self.curve_coors is None: self.eval() cc = self.curve_coors cp = self.cp_coors ci = self.approx_coors if ci is not None and self.is_cyclic: ci = nm.vstack((ci, ci[0,:])) if cc.shape[1] == 3: if ax is None: fig = plt.figure() ax = Axes3D(fig) ax.plot(cc[:,0], cc[:,1], cc[:,2], 'r-') ax.plot(cp[:,0], cp[:,1], cp[:,2], 'ko:', alpha=0.6) if ci is not None: ax.plot(ci[:,0], ci[:,1], ci[:,2], 'b--', alpha=0.6) else: if ax is None: fig = plt.figure() ax = fig.add_subplot(111) ax.plot(cc[:,0], cc[:,1], 'r-') ax.plot(cp[:,0], cp[:,1], 'ko:', alpha=0.6) if ci is not None: ax.plot(ci[:,0], ci[:,1], 'b--', alpha=0.6) for jj, icp in enumerate(self.cp_coors): ax.text(icp[0], icp[1], 'N%d' % (jj + 1), fontsize=10) ax.set_aspect('equal') if ret_ax: return ax else: plt.show() def draw_basis(self): """ Draw B-spline curve. """ plt.figure() plt.plot(self.t,self.basis) plt.legend(['b%d' % (ii + 1) for ii in range(self.basis.shape[1])]) plt.show() def approximate(self, coors, ncp=None, knot_type='clamped', knots=None, alpha=0.5, do_eval=False, do_param_correction=False): """ Approximate set of points by the B-spline curve. Parameters ---------- coors : array The coordinates of the approximated points. ncp : int The number of control points. knot_type : str The knot vector type. knots : array The knot vector. alpha : float The parameter vector distribution: 1.0 = chordal 0.5 = centripetal do_eval : bool Evaluate the curve coordinates? do_param_correction : bool Perform parametric corrections to improve the approximation? """ coors = to_ndarray(coors) dg = self.degree if ncp is not None: if self.is_cyclic: ncp += dg self.ncp = ncp self.make_knot_vector(knot_type) if knots is not None: self.knots = knots self.knot_type = 'userdef' ncp = len(knots) - dg - 1 self.ncp = ncp # param vector dist = nm.linalg.norm(coors[:-1,:] - coors[1:,:], axis=1) dista = nm.power(dist, alpha) self.t = nm.zeros((coors.shape[0],), dtype=nm.float64) self.t[1:] += dista.cumsum() / dista.sum() self.t[-1] -= nm_f64_eps while True: self.basis = self.basis_function_dg(dg, self.t, self.knots, ncp) A = nm.dot(self.basis.T, self.basis) b = nm.dot(self.basis.T, coors) # cyclic spline if self.is_cyclic: nred = ncp - dg R = nm.zeros((ncp, nred), dtype=nm.float64) for ii in range(nred): R[ii,ii] = 1.0 for ii in range(self.degree): R[nred + ii,ii] = 1.0 A = nm.dot(R.T, nm.dot(A, R)) b = nm.dot(R.T, b) self.cp_coors = nm.dot(R, nm.dot(nm.linalg.inv(A), b)) else: self.cp_coors = nm.dot(nm.linalg.inv(A), b) self.approx_coors = coors if not do_param_correction: break if do_eval: self.curve_coors = nm.dot(self.basis, self.cp_coors) def set_approx_points(self, coors): """ Set the coordinates of approximated points. Parameters ---------- coors : array The coordinates of approximated points. """ self.approx_coors = to_ndarray(coors) class BSplineSurf: """ B-spline surface representation """ def __init__(self, degree=(3,3), is_cyclic=(False, False)): """ Initialize B-spline class. Parameters ---------- degree : tuple of int The degree of the spline functions. is_cyclic : tuple of bool Cyclic splines?. """ self.splines = [None, None] for ii in range(2): self.splines[ii] = BSpline(degree[ii], is_cyclic=is_cyclic[ii]) self.surf_coors = None self.cp_coors = None self.approx_coors = None def set_control_points(self, coors, cyclic_form=False): """ Set the B-spline control points. Parameters ---------- coors : array The coordinates of unique control points. cyclic_form : bool Are the control points in the cyclic form? """ coors = to_ndarray(coors) if self.splines[0].is_cyclic and not cyclic_form: coors = nm.vstack((coors, coors[0:self.splines[0].degree,:,:])) if self.splines[1].is_cyclic and not cyclic_form: coors = nm.hstack((coors, coors[:,0:self.splines[1].degree,:])) self.cp_coors = coors for ii in range(2): self.splines[ii].ncp = coors.shape[ii] def get_control_points(self): """ Get the B-spline surface control points. Returns ------- coors : array The coordinates of control points. """ aux = self.cp_coors if self.splines[0].is_cyclic: aux = aux[:-self.splines[0].degree,:,:] if self.splines[1].is_cyclic: aux = aux[:,:-self.splines[1].degree,:] return aux def make_knot_vector(self, knot_type=('clamped', 'clamped'), knot_data=(None, None)): """ Create a knot vector of the requested type. Parameters ---------- knot_type : tuple of str The knot vector types. knot_data : tuple of ANY The extra knot data. """ for ii in range(2): self.splines[ii].make_knot_vector(knot_type[ii], knot_data[ii]) def set_param_n(self, n=(100, 100)): """ Generate the B-spline parametric vector using the number of steps. Parameters ---------- n : tuple of array The number of steps in the B-spline parametric vectors. """ for ii in range(2): self.splines[ii].set_param_n(n[ii]) def set_approx_points(self, coors): """ Set the coordinates of approximated points. Parameters ---------- coors : array The coordinates of approximated points. """ self.approx_coors = to_ndarray(coors) def eval(self, t=(None, None), cp_coors=None): """ Evaluate the coordinates of the bpsline curve. Parameters ---------- t : tuple of array The parametric vector of the B-splines. cp_coors : array The coordinates of the control points. """ if cp_coors is not None: self.set_control_points(cp_coors) for ii in range(2): self.splines[ii].eval_basis(t[ii]) nt = (len(self.splines[0].t), len(self.splines[1].t)) ncp = (self.splines[0].ncp, self.splines[1].ncp) aux = nm.zeros((nt[0], ncp[1], 3), dtype=nm.float64) for ii in range(ncp[1]): aux[:,ii,:] = nm.dot(self.splines[0].basis, self.cp_coors[:,ii,:]) self.surf_coors = nm.zeros(nt + (3,), dtype=nm.float64) for ii in range(nt[0]): self.surf_coors[ii,:,:] = nm.dot(self.splines[1].basis, aux[ii,:,:]) return self.surf_coors def draw(self, ret_ax=False, ax=None): """ Draw B-spline surface. Parameters ---------- ret_ax : bool Return an axes object? ax : axes object The axes to which will be drawn. """ if self.surf_coors is None: self.eval() fig = plt.figure() ax = Axes3D(fig) coors = self.surf_coors cs = coors.shape for ii in range(cs[0] - 1): for jj in range(cs[1] - 1): verts = nm.array([coors[ii,jj,:], coors[ii,jj + 1,:], coors[ii + 1,jj + 1,:], coors[ii + 1,jj,:]]) quad = Poly3DCollection([verts], facecolors='gray', edgecolor='k', linewidths=0.2, alpha=0.5) ax.add_collection3d(quad) cp = self.cp_coors for ii in range(cp.shape[1]): ax.plot(cp[:,ii,0], cp[:,ii,1], cp[:,ii,2], 'ro--', linewidth=2.0) for ii in range(cp.shape[0]): ax.plot(cp[ii,:,0], cp[ii,:,1], cp[ii,:,2], 'ro--', linewidth=2.0) ax.set_aspect('equal') plt.show() def approximate(self, coors, ncp, do_eval=False): """ Approximate set of points by the B-spline surface. Parameters ---------- coors : array The coordinates of the approximated points. ncp : tuple of int The number of control points. """ coors = to_ndarray(coors) nsc = coors.shape[0:2] aux = nm.zeros((nsc[0], ncp[1], 3), dtype=nm.float64) spl1 = self.splines[1] for ii in range(nsc[0]): spl1.approximate(coors[ii,...], ncp[1]) aux[ii,...] = spl1.get_control_points() self.cp_coors = nm.zeros((ncp[0], ncp[1], 3), dtype=nm.float64) spl2 = self.splines[0] for ii in range(ncp[1]): spl2.approximate(aux[:,ii,:], ncp[0]) self.cp_coors[:,ii,:] = spl2.get_control_points() self.approx_coors = coors def write_surface_vtk(self, filename, float_format='%.6f'): """ Write the spline surface to VTK file. Parameters ---------- filename: str Name of the VTK file. float_format: str Float formating. """ coors = self.surf_coors cs0, cs1 = coors.shape[0:2] nquads = (cs0 - 1) * (cs1 - 1) quads = nm.zeros((nquads, 4), dtype=nm.int64) kk = 0 for ii in range(cs0 - 1): offs = ii * cs1 for jj in range(cs1 - 1): quads[kk] = nm.array([jj + offs, jj + offs + cs1, jj + 1 + offs + cs1, jj + 1 + offs]) kk += 1 f = open(filename, 'w') f.write('# vtk DataFile Version 2.0\n') f.write('spline surface\nASCII\nDATASET POLYDATA\n') ff3 = ' '.join([float_format] * 3) + '\n' f.write('POINTS %d float\n' % (cs0 * cs1)) for ii in range(cs0): offs = ii * cs1 for jj in range(cs1): f.write(ff3 % tuple(coors[ii,jj,:])) f.write('POLYGONS %d %d\n' % (nquads, nquads * 5)) for ii in quads: f.write('4 %s\n' % (' '.join([str(jj) for jj in ii]))) f.close() def write_control_polygon_vtk(self, filename, float_format='%.6f'): """ Write the control polygon to VTK file. Parameters ---------- filename: str Name of the VTK file. float_format: str Float formating. """ coors = self.cp_coors cs0, cs1 = coors.shape[0:2] lines = [] nlines = cs0 + cs1 nlpts = 0 for ii in range(cs0): lines.append(nm.arange(cs1) + ii * cs1) nlpts += cs1 for ii in range(cs1): lines.append(nm.arange(cs0) * cs1 + ii) nlpts += cs0 f = open(filename, 'w') f.write('# vtk DataFile Version 2.0\n') f.write('spline control polygon\nASCII\nDATASET POLYDATA\n') ff3 = ' '.join([float_format] * 3) + '\n' f.write('POINTS %d float\n' % (cs0 * cs1)) for ii in range(cs0): for jj in range(cs1): f.write(ff3 % tuple(coors[ii,jj,:])) f.write('LINES %d %d\n' % (nlines, nlines + nlpts)) for ii in lines: f.write('%d %s\n' % (len(ii), ' '.join([str(jj) for jj in ii]))) f.close() def get_2d_points(is3d=False): """ Returns the set of points. Parameters ---------- is3d : bool 3D coordinates? """ out = nm.array([(-0.87, 0.15, 0), (-0.70, 0.54, 0), (-0.32, 0.80, 0), (0.15, 0.70, 0), (0.37, 0.26, 0), (0.70, -0.07, 0), (0.67, -0.49, 0), (0.07, -0.81, 0), (-0.44, -0.72, 0), (-0.80, -0.34, 0)]) if is3d: return out else: return out[:,:2] def approximation_example(): """ The example of using BSplineSurf for approximation of the surface given by the set of points. """ # define sample points in 2D spts0 = get_2d_points(is3d=True) # define sample points in 3D spts = nm.array([spts0, spts0 * 0.7 + nm.array([0.1,0,0.5]), spts0 * 0.8 + nm.array([0.2,0,1.5]), spts0 * 1.2 + nm.array([0.4,0,2.5])]) cyclic=(False, True) spl1 = BSplineSurf((3, 3), is_cyclic=cyclic) spl1.approximate(spts, (4,8)) cp = spl1.get_control_points() spls2 = BSplineSurf((3, 3), is_cyclic=cyclic) spls2.set_control_points(cp) spls2.make_knot_vector() spls2.set_param_n((12, 24)) spls2.eval() spls2.draw() def simple_example(): """ The example of using BSpline class. """ # define control points in 2D cp = get_2d_points() spl1 = BSpline(3, is_cyclic=True) spl1.set_control_points(cp) spl1.make_knot_vector() spl1.set_param_n(150) spl1.insert_knot(0.7) spl1.insert_knot(0.7) spl1.insert_knot(0.7) spl1.eval() spl1.draw() def main(argv): simple_example() approximation_example() if __name__ == '__main__': main(sys.argv) sfepy-release_2015.1/sfepy/mesh/geom_tools.py000066400000000000000000000440461247364230400212500ustar00rootroot00000000000000import numpy as nm class geometry(object): """The geometry is given by a sets of points (d0), lines (d1), surfaces (d2) and volumes (d3). A lines are constructed from 2 points, a surface from any number of lines, a volume from any number of surfaces. Physical volumes are contruted from any number of volumes. The self.d0, self.d1, self.d2 and self.d3 are dictionaries holding a map geometry element number -> instance of point,line,surface of volume Examples -------- To get all the points which define a surface 5, use: self.d2[5].getpoints() This would give you a list [..] of point() instances. """ def __init__(self, dim=3): self.dim = dim self.d0={} self.d1={} self.d2={} self.d3={} self.phys2={} self.phys3={} def addpoint(self,n,p): "p=[x,y,z]" o=point(self,n,p) self.d0[o.getn()]=o def addpoints(self,ps,off=1): "ps=[p1, p2, ...]" for i, p in enumerate(ps): self.addpoint(i + off, p) def addline(self,n,l): "l=[p1,p2]" o=line(self,n,l) self.d1[o.getn()]=o def addlines(self,ls,off=1): "ls=[l1, l2, ...]" for i, l in enumerate(ls): self.addline(i + off, l) def addsurface(self,n,s, is_hole=False): "s=[l1,l2,l3,...]" o=surface(self,n,s, is_hole) self.d2[o.getn()]=o def addsurfaces(self,ss,off=1): "s=[s1,s2,s3,...]" for i, s in enumerate(ss): self.addsurface(i + off, s) def addvolume(self,n,v): "v=[s1,s2,s3,...]" o=volume(self,n,v) self.d3[o.getn()]=o def addvolumes(self,vs,off=1): "v=[v1,v2,v3,...]" for i, v in enumerate(vs): self.addvolume(i + off, v) def addphysicalsurface(self,n,surfacelist): "surfacelist=[s1,s2,s3,...]" o=physicalsurface(self,n,surfacelist) self.phys2[o.getn()]=o def addphysicalvolume(self,n,volumelist): "volumelist=[v1,v2,v3,...]" o=physicalvolume(self,n,volumelist) self.phys3[o.getn()]=o def getBCnum(self,snum): for x in self.phys2: if snum in self.phys2[x].surfaces: return x return 0 def printinfo(self, verbose=False): print "General geometry information:" print " dimension:", self.dim print " points:", len(self.d0) if verbose: for k, v in self.d0.iteritems(): print " %d - %s" % (k, v.getstr()) print " lines:", len(self.d1) if verbose: for k, v in self.d1.iteritems(): print " %d - " % k, v.points print " surfaces:", len(self.d2) if verbose: for k, v in self.d2.iteritems(): if v.is_hole: aux = '(hole)' else: aux = '' print " %d%s - " % (k, aux), v.lines print " volumes:", len(self.d3) if verbose: for k, v in self.d3.iteritems(): print " %d - " % k, v.surfaces print "Physical entities:" if self.dim == 2: print " surfaces (regions):" for d in self.phys2.values(): print " %d: surface numbers %r"%(d.getn(),d.surfaces) elif self.dim == 3: print " surfaces (boundary conditions):" for d in self.phys2.values(): print " %d: surface numbers %r"%(d.getn(),d.surfaces) print " volumes (regions):" for d in self.phys3.values(): print " %d: volume numbers %r"%(d.getn(),d.volumes) def leaveonlyphysicalsurfaces(self): points={} lines={} surfaces={} volumes={} for e in self.phys2: for s in self.phys2[e].getsurfaces(): surfaces[s.getn()]=s for l in s.getlines(): lines[l.getn()]=l for p in l.getpoints(): points[p.getn()]=p self.d0=points self.d1=lines self.d2=surfaces self.d3=volumes def leaveonlyphysicalvolumes(self): points={} lines={} surfaces={} volumes={} for e in self.phys3: for v in self.phys3[e].getvolumes(): volumes[v.getn()]=v for s in v.getsurfaces(): surfaces[s.getn()]=s for l in s.getlines(): lines[l.getn()]=l for p in l.getpoints(): points[p.getn()]=p self.d0=points self.d1=lines self.d2=surfaces self.d3=volumes def splitlines(self, ls, n): repl = {} for il in ls: l = self.d1[il] pts = l.getpoints() dp = pts[1] - pts[0] t = nm.linspace(0, 1, n + 1) points = [pts[0].n, pts[1].n] for ii, it in enumerate(t[1:-1]): pid = il * 1000 + ii self.addpoint(pid, (pts[0] + dp * it).getxyz()) points.insert(-1, pid) lines = [] for ii in range(n): lid = il * 1000 + ii self.addline(lid, [points[ii], points[ii + 1]]) lines.append(lid) for s in self.d2.itervalues(): try: idx = s.lines.index(l.n) except ValueError: continue s.lines.pop(idx) for ii, j in enumerate(lines): s.lines.insert(idx + ii, j) repl[l.n] = lines self.d1.pop(l.n) def to_poly_file(self, filename): """ Export geometry to poly format (tetgen and triangle geometry format). Parameters ---------- geo : geometry geometry description filename : string file name """ def getinsidepoint(pts): direct = (pts[0] + pts[1] + pts[2]) / 3 - pts[0] return pts[0] + 0.001 * direct if self.dim == 2: self.leaveonlyphysicalsurfaces() if self.dim == 3: self.leaveonlyphysicalvolumes() # write nodes nodes = [] map = {} for x in self.d0.values(): assert isinstance(x, point) nodes.append(x.getxyz()) map[x.getn()] = len(nodes) s = "# nodes\n%d %d 0 0\n" % (len(nodes), self.dim) if self.dim == 2: ptstr = " %d %f %f\n" else: ptstr = " %d %f %f %f\n" for n, x in enumerate(nodes): s += ptstr % tuple([n + 1] + list(x)) # facets # first write external polygon, then hole polygons and then point in each # hole polygon facets = [] if self.dim == 2: hole_pts = [] regions=[] for x2 in self.d2.values(): assert isinstance(x2, surface) for x1 in x2.getlines(): assert isinstance(x1, line) p = [map[y.getn()] for y in x1.getpoints()] bc = self.getBCnum(x1.getn()) facets.append((p, bc)) for hole in x2.getholepoints(): hole_pts.append(hole.getxyz()) # regions for x in self.phys2.values(): assert isinstance(x, physicalsurface) for x2 in x.getsurfaces(): if not x2.is_hole: regions.append(x2.getinsidepoint().getxyz() + [x.getn()]) # number of facets, boundary markers=yes s += "# segments\n%d 1\n" % len(facets) for ii, (p, bc) in enumerate(facets): # number of corners, corner 1, corner 2, ... s += " %d %s %d\n" % (ii + 1, ' '.join([str(ii) for ii in p]), bc) # holes s += "# holes\n%d\n" % len(hole_pts) for ii, x0 in enumerate(hole_pts): # number of corners, corner 1, corner 2, ... s += " %d %s\n" % (ii + 1, ' '.join([str(ii) for ii in x0])) # regions s += "# regions\n%d\n" % len(regions) for ii, x0 in enumerate(regions): s += " %d %f %f %d\n" % tuple([ii + 1] + x0) if self.dim == 3: for x in self.d2.values(): assert isinstance(x, surface) p = [map[y.getn()] for y in x.getpoints()] h = [] pts = [] for hole in x.getholepoints(): h.append([map[y.getn()] for y in hole]) pts.append(getinsidepoint(hole).getxyz()) bc = self.getBCnum(x.getn()) facets.append((p, bc, h, pts)) # number of facets, boundary markers=yes s += "# segments\n%d 1\n" % len(facets) for p, bc, h, holes in facets: # number of polygons, # of holes, boundary marker s += " %d %d %d\n" % (1 + len(h), len(h), bc) # number of corners, corner 1, corner 2, ... s += " %d %s\n" % (len(p), ' '.join([str(ii) for ii in p])) for x in h: # number of corners, corner 1, corner 2, ... s += " %d %s\n" % (len(x), ' '.join([str(ii) for ii in p])) for i, pt in enumerate(holes): # hole #, x, y, z s += ptstr % tuple([i + 1] + list(pt)) # volume holes s += "# holes\n0\n" # regions regions=[] for x in self.phys3.values(): assert isinstance(x, physicalvolume) for v in x.getvolumes(): regions.append(v.getinsidepoint().getxyz()+[x.getn()]) s += "# regions\n%d\n" % len(regions) for i, x in enumerate(regions): s += ptstr % tuple([i + 1], list(x)) open(filename, "w").write(s) @staticmethod def from_gmsh_file(filename): """ Import geometry - Gmsh geometry format. Parameters ---------- filename : string file name Returns ------- geo : geometry geometry description """ from pyparsing import Word, Optional, nums, Combine, Literal, \ CaselessLiteral, Group, OneOrMore, StringEnd, restOfLine, \ ParseException, alphanums, Keyword, ZeroOrMore e = CaselessLiteral("E") inum = Word("+-"+nums) fnum = Combine( Word( "+-"+nums, nums ) + Optional("."+Optional(Word(nums))) + Optional(e+Word("+-"+nums,nums)) ) semi = Literal(";").suppress() colon = Literal(",").suppress() lpar = Literal("(").suppress() rpar = Literal(")").suppress() lbrace = Literal("{").suppress() rbrace = Literal("}").suppress() eq = Literal("=").suppress() point = Group( Keyword("Point")+lpar+inum+rpar+eq+ Group(lbrace+fnum+colon+fnum+colon+fnum+colon+fnum+rbrace)+semi ) line = Group( Keyword("Line")+lpar+inum+rpar+eq+ Group(lbrace+inum+colon+inum+rbrace)+semi ) lineloop = Group( Keyword("Line Loop")+lpar+inum+rpar+eq+ Group(lbrace+inum+OneOrMore(colon+inum)+rbrace)+semi ) circle = Group( Keyword("Circle")+lpar+inum+rpar+eq+ Group(lbrace+inum+colon+inum+colon+inum+rbrace)+semi ) planesurface = Group( Keyword("Plane Surface")+lpar+inum+rpar+eq+ Group(lbrace+inum+rbrace)+semi ) ruledsurface = Group( Keyword("Ruled Surface")+lpar+inum+rpar+eq+ Group(lbrace+inum+rbrace)+semi ) surfaceloop = Group( Keyword("Surface Loop")+lpar+inum+rpar+eq+ Group(lbrace+inum+OneOrMore(colon+inum)+rbrace)+semi ) volume = Group( Keyword("Volume")+lpar+inum+rpar+eq+ Group(lbrace+inum+rbrace)+semi ) physicalsurface = Group( Keyword("Physical Surface")+lpar+inum+rpar+eq+ Group(lbrace+inum+ZeroOrMore(colon+inum)+rbrace)+semi ) physicalvolume = Group( Keyword("Physical Volume")+lpar+inum+rpar+eq+ Group(lbrace+inum+ZeroOrMore(colon+inum)+rbrace)+semi ) skip1 = Group( Word(alphanums)+eq+fnum+semi ) comment = Group( Literal("//")+restOfLine).suppress() command = point | line | lineloop | circle | planesurface | ruledsurface | \ surfaceloop | volume | physicalsurface | physicalvolume | comment \ | skip1 grammar= OneOrMore(command)+StringEnd() try: tokens= grammar.parseFile(filename) except ParseException, err: print err.line print " "*(err.column-1) + "^" print err raise err lineloops={} surfaceloops={} geo=geometry() for x in tokens: if x[0]=="Point": geo.addpoint(int(x[1]),[float(x[2][0]),float(x[2][1]),float(x[2][2])]) elif x[0]=="Line": assert len(x[2])==2 geo.addline(int(x[1]),[int(x[2][0]),int(x[2][1])]) elif x[0]=="Circle": assert len(x[2])==3 geo.addline(int(x[1]),[int(x[2][0]),int(x[2][2])]) #geo.add1(geom.circle(int(x[1]),int(x[2][0]),int(x[2][1]), # int(x[2][2]))) elif x[0]=="Line Loop": lineloops[int(x[1])]=[int(y) for y in x[2]] elif x[0]=="Plane Surface": assert len(x[2])==1 geo.addsurface(int(x[1]),lineloops[int(x[2][0])]) elif x[0]=="Ruled Surface": assert len(x[2])==1 geo.addsurface(int(x[1]),lineloops[int(x[2][0])]) elif x[0]=="Surface Loop": surfaceloops[int(x[1])]=[int(y) for y in x[2]] elif x[0]=="Volume": assert len(x[2])==1 geo.addvolume(int(x[1]),surfaceloops[int(x[2][0])]) elif x[0]=="Physical Surface": geo.addphysicalsurface(int(x[1]),[int(y) for y in x[2]]) elif x[0]=="Physical Volume": geo.addphysicalvolume(int(x[1]),[int(y) for y in x[2]]) else: raise "Unsupported entity: "+x[0] return geo class geomobject(object): def getn(self): return self.n class point(geomobject): def __init__(self,g,n,p): self.geom=g self.n=n self.p=p def __add__(self,p): return point(self.geom,-1,[a+b for a,b in zip(self.p,p.p)]) def __sub__(self,p): return point(self.geom,-1,[a-b for a,b in zip(self.p,p.p)]) def __div__(self,num): return point(self.geom,-1,[a/num for a in self.p]) def __mul__(self,num): return point(self.geom,-1,[a*num for a in self.p]) def __rmul__(self,num): return self.__mul__(num) def getxyz(self): return self.p def getstr(self): if self.geom.dim == 2: return "%f, %f" % tuple(self.getxyz()) elif self.geom.dim == 3: return "%f, %f, %f" % tuple(self.getxyz()) else: return None class line(geomobject): def __init__(self,g,n,l): self.geom=g self.n=n self.points=l def getpoints(self): return [self.geom.d0[x] for x in self.points] class surface(geomobject): def __init__(self,g,n,s, is_hole=False): self.geom=g self.n=n self.lines,self.holes=self.separate(s) self.is_hole = is_hole def separate(self,s): #FIXME - this is just a quick hack to satisfy all the examples if len(s)<=4: return s,[] elif len(s)==8: return s[:4],[s[4:]] else: return s,[] def getlines(self): return [self.geom.d1[abs(x)] for x in self.lines] def getpoints(self): #self.lines contains the numbers of all the lines def p(idx): "Return the correct point of the line 'idx'" if idx>0: return self.geom.d1[idx].getpoints()[0] else: return self.geom.d1[-idx].getpoints()[1] return [p(x) for x in self.lines] def getholepoints(self): def p(idx): "Return the correct point of the line 'idx'" if idx>0: return self.geom.d1[idx].getpoints()[0] else: return self.geom.d1[-idx].getpoints()[1] r=[] if self.is_hole: r.append(self.getinsidepoint()) else: for hole in self.holes: r.append([p(x) for x in hole]) return r def getcenterpoint(self): pts=self.getpoints() return sum(pts[1:], pts[0] * 0) / float(len(pts)) def getinsidepoint(self): p0 = self.getpoints()[0] pc = self.getcenterpoint() return p0 + (pc - p0) * 0.001 class volume(geomobject): def __init__(self,g,n,v): self.geom=g self.n=n self.surfaces=v def getsurfaces(self): return [self.geom.d2[abs(x)] for x in self.surfaces] def getinsidepoint(self): sfs=self.getsurfaces()[:3] pts=[s.getinsidepoint() for s in sfs] p0=sfs[0].getpoints()[0] direct=(pts[0]+pts[1]+pts[2]) / 3.0 - p0 return p0+0.001*direct class physicalsurface(geomobject): def __init__(self,g,n,s): self.geom=g self.n=n self.surfaces=s def getsurfaces(self): return [self.geom.d2[x] for x in self.surfaces] class physicalvolume(geomobject): def __init__(self,g,n,v): self.geom=g self.n=n self.volumes=v def getvolumes(self): return [self.geom.d3[x] for x in self.volumes] sfepy-release_2015.1/sfepy/mesh/mesh_generators.py000066400000000000000000001062371247364230400222670ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, assert_ from sfepy.base.ioutils import ensure_path from sfepy.linalg import cycle from sfepy.discrete.fem.mesh import Mesh from sfepy.mesh.mesh_tools import elems_q2t def get_tensor_product_conn(shape): """ Generate vertex connectivity for cells of a tensor-product mesh of the given shape. Parameters ---------- shape : array of 2 or 3 ints Shape (counts of nodes in x, y, z) of the mesh. Returns ------- conn : array The vertex connectivity array. desc : str The cell kind. """ shape = nm.asarray(shape) dim = len(shape) assert_(1 <= dim <= 3) n_nod = nm.prod(shape) n_el = nm.prod(shape - 1) grid = nm.arange(n_nod, dtype=nm.int32) grid.shape = shape if dim == 1: conn = nm.zeros((n_el, 2), dtype=nm.int32) conn[:, 0] = grid[:-1] conn[:, 1] = grid[1:] desc = '1_2' elif dim == 2: conn = nm.zeros((n_el, 4), dtype=nm.int32) conn[:, 0] = grid[:-1, :-1].flat conn[:, 1] = grid[1:, :-1].flat conn[:, 2] = grid[1:, 1:].flat conn[:, 3] = grid[:-1, 1:].flat desc = '2_4' else: conn = nm.zeros((n_el, 8), dtype=nm.int32) conn[:, 0] = grid[:-1, :-1, :-1].flat conn[:, 1] = grid[1:, :-1, :-1].flat conn[:, 2] = grid[1:, 1:, :-1].flat conn[:, 3] = grid[:-1, 1:, :-1].flat conn[:, 4] = grid[:-1, :-1, 1:].flat conn[:, 5] = grid[1:, :-1, 1:].flat conn[:, 6] = grid[1:, 1:, 1:].flat conn[:, 7] = grid[:-1, 1:, 1:].flat desc = '3_8' return conn, desc def gen_block_mesh(dims, shape, centre, mat_id=0, name='block', coors=None, verbose=True): """ Generate a 2D or 3D block mesh. The dimension is determined by the lenght of the shape argument. Parameters ---------- dims : array of 2 or 3 floats Dimensions of the block. shape : array of 2 or 3 ints Shape (counts of nodes in x, y, z) of the block mesh. centre : array of 2 or 3 floats Centre of the block. mat_id : int, optional The material id of all elements. name : string Mesh name. verbose : bool If True, show progress of the mesh generation. Returns ------- mesh : Mesh instance """ dims = nm.asarray(dims, dtype=nm.float64) shape = nm.asarray(shape, dtype=nm.int32) centre = nm.asarray(centre, dtype=nm.float64) dim = shape.shape[0] centre = centre[:dim] dims = dims[:dim] n_nod = nm.prod(shape) output('generating %d vertices...' % n_nod, verbose=verbose) x0 = centre - 0.5 * dims dd = dims / (shape - 1) ngrid = nm.mgrid[[slice(ii) for ii in shape]] ngrid.shape = (dim, n_nod) coors = x0 + ngrid.T * dd output('...done', verbose=verbose) n_el = nm.prod(shape - 1) output('generating %d cells...' % n_el, verbose=verbose) mat_ids = nm.empty((n_el,), dtype=nm.int32) mat_ids.fill(mat_id) conn, desc = get_tensor_product_conn(shape) output('...done', verbose=verbose) mesh = Mesh.from_data(name, coors, None, [conn], [mat_ids], [desc]) return mesh def gen_cylinder_mesh(dims, shape, centre, axis='x', force_hollow=False, is_open=False, open_angle=0.0, non_uniform=False, name='cylinder', verbose=True): """ Generate a cylindrical mesh along an axis. Its cross-section can be ellipsoidal. Parameters ---------- dims : array of 5 floats Dimensions of the cylinder: inner surface semi-axes a1, b1, outer surface semi-axes a2, b2, length. shape : array of 3 ints Shape (counts of nodes in radial, circumferential and longitudinal directions) of the cylinder mesh. centre : array of 3 floats Centre of the cylinder. axis: one of 'x', 'y', 'z' The axis of the cylinder. force_hollow : boolean Force hollow mesh even if inner radii a1 = b1 = 0. is_open : boolean Generate an open cylinder segment. open_angle : float Opening angle in radians. non_uniform : boolean If True, space the mesh nodes in radial direction so that the element volumes are (approximately) the same, making thus the elements towards the outer surface thinner. name : string Mesh name. verbose : bool If True, show progress of the mesh generation. Returns ------- mesh : Mesh instance """ dims = nm.asarray(dims, dtype=nm.float64) shape = nm.asarray(shape, dtype=nm.int32) centre = nm.asarray(centre, dtype=nm.float64) a1, b1, a2, b2, length = dims nr, nfi, nl = shape origin = centre - nm.array([0.5 * length, 0.0, 0.0]) dfi = 2.0 * (nm.pi - open_angle) / nfi if is_open: nnfi = nfi + 1 else: nnfi = nfi is_hollow = force_hollow or not (max(abs(a1), abs(b1)) < 1e-15) if is_hollow: mr = 0 else: mr = (nnfi - 1) * nl grid = nm.zeros((nr, nnfi, nl), dtype=nm.int32) n_nod = nr * nnfi * nl - mr coors = nm.zeros((n_nod, 3), dtype=nm.float64) angles = nm.linspace(open_angle, open_angle+(nfi)*dfi, nfi+1) xs = nm.linspace(0.0, length, nl) if non_uniform: ras = nm.zeros((nr,), dtype=nm.float64) rbs = nm.zeros_like(ras) advol = (a2**2 - a1**2) / (nr - 1) bdvol = (b2**2 - b1**2) / (nr - 1) ras[0], rbs[0] = a1, b1 for ii in range(1, nr): ras[ii] = nm.sqrt(advol + ras[ii-1]**2) rbs[ii] = nm.sqrt(bdvol + rbs[ii-1]**2) else: ras = nm.linspace(a1, a2, nr) rbs = nm.linspace(b1, b2, nr) # This is 3D only... output('generating %d vertices...' % n_nod, verbose=verbose) ii = 0 for ix in range(nr): a, b = ras[ix], rbs[ix] for iy, fi in enumerate(angles[:nnfi]): for iz, x in enumerate(xs): grid[ix,iy,iz] = ii coors[ii] = origin + [x, a * nm.cos(fi), b * nm.sin(fi)] ii += 1 if not is_hollow and (ix == 0): if iy > 0: grid[ix,iy,iz] = grid[ix,0,iz] ii -= 1 assert_(ii == n_nod) output('...done', verbose=verbose) n_el = (nr - 1) * nnfi * (nl - 1) conn = nm.zeros((n_el, 8), dtype=nm.int32) output('generating %d cells...' % n_el, verbose=verbose) ii = 0 for (ix, iy, iz) in cycle([nr-1, nnfi, nl-1]): if iy < (nnfi - 1): conn[ii,:] = [grid[ix ,iy ,iz ], grid[ix+1,iy ,iz ], grid[ix+1,iy+1,iz ], grid[ix ,iy+1,iz ], grid[ix ,iy ,iz+1], grid[ix+1,iy ,iz+1], grid[ix+1,iy+1,iz+1], grid[ix ,iy+1,iz+1]] ii += 1 elif not is_open: conn[ii,:] = [grid[ix ,iy ,iz ], grid[ix+1,iy ,iz ], grid[ix+1,0,iz ], grid[ix ,0,iz ], grid[ix ,iy ,iz+1], grid[ix+1,iy ,iz+1], grid[ix+1,0,iz+1], grid[ix ,0,iz+1]] ii += 1 mat_id = nm.zeros((n_el,), dtype = nm.int32) desc = '3_8' assert_(n_nod == (conn.max() + 1)) output('...done', verbose=verbose) if axis == 'z': coors = coors[:,[1,2,0]] elif axis == 'y': coors = coors[:,[2,0,1]] mesh = Mesh.from_data(name, coors, None, [conn], [mat_id], [desc]) return mesh def _spread_along_axis(axis, coors, tangents, grading_fun): """ Spread the coordinates along the given axis using the grading function, and the tangents in the other two directions. """ oo = list(set([0, 1, 2]).difference([axis])) c0, c1, c2 = coors[:, axis], coors[:, oo[0]], coors[:, oo[1]] out = nm.empty_like(coors) mi, ma = c0.min(), c0.max() nc0 = (c0 - mi) / (ma - mi) out[:, axis] = oc0 = grading_fun(nc0) * (ma - mi) + mi nc = oc0 - oc0.min() mi, ma = c1.min(), c1.max() n1 = 2 * (c1 - mi) / (ma - mi) - 1 out[:, oo[0]] = c1 + n1 * nc * tangents[oo[0]] mi, ma = c2.min(), c2.max() n2 = 2 * (c2 - mi) / (ma - mi) - 1 out[:, oo[1]] = c2 + n2 * nc * tangents[oo[1]] return out def _get_extension_side(side, grading_fun, mat_id, b_dims, b_shape, e_dims, e_shape, centre): """ Get a mesh extending the given side of a block mesh. """ # Pure extension dimensions. pe_dims = 0.5 * (e_dims - b_dims) coff = 0.5 * (b_dims + pe_dims) cc = centre + coff * nm.eye(3)[side] if side == 0: # x axis. dims = [pe_dims[0], b_dims[1], b_dims[2]] shape = [e_shape, b_shape[1], b_shape[2]] tangents = [0, pe_dims[1] / pe_dims[0], pe_dims[2] / pe_dims[0]] elif side == 1: # y axis. dims = [b_dims[0], pe_dims[1], b_dims[2]] shape = [b_shape[0], e_shape, b_shape[2]] tangents = [pe_dims[0] / pe_dims[1], 0, pe_dims[2] / pe_dims[1]] elif side == 2: # z axis. dims = [b_dims[0], b_dims[1], pe_dims[2]] shape = [b_shape[0], b_shape[1], e_shape] tangents = [pe_dims[0] / pe_dims[2], pe_dims[1] / pe_dims[2], 0] e_mesh = gen_block_mesh(dims, shape, cc, mat_id=mat_id, verbose=False) e_mesh.coors[:] = _spread_along_axis(side, e_mesh.coors, tangents, grading_fun) return e_mesh, shape def gen_extended_block_mesh(b_dims, b_shape, e_dims, e_shape, centre, grading_fun=None, name=None): """ Generate a 3D mesh with a central block and (coarse) extending side meshes. The resulting mesh is again a block. Each of the components has a different material id. Parameters ---------- b_dims : array of 3 floats The dimensions of the central block. b_shape : array of 3 ints The shape (counts of nodes in x, y, z) of the central block mesh. e_dims : array of 3 floats The dimensions of the complete block (central block + extensions). e_shape : int The count of nodes of extending blocks in the direction from the central block. centre : array of 3 floats The centre of the mesh. grading_fun : callable, optional A function of :math:`x \in [0, 1]` that can be used to shift nodes in the extension axis directions to allow smooth grading of element sizes from the centre. The default function is :math:`x**p` with :math:`p` determined so that the element sizes next to the central block have the size of the shortest edge of the central block. name : string, optional The mesh name. Returns ------- mesh : Mesh instance """ b_dims = nm.asarray(b_dims, dtype=nm.float64) b_shape = nm.asarray(b_shape, dtype=nm.int32) e_dims = nm.asarray(e_dims, dtype=nm.float64) centre = nm.asarray(centre, dtype=nm.float64) # Pure extension dimensions. pe_dims = 0.5 * (e_dims - b_dims) # Central block element sizes. dd = (b_dims / (b_shape - 1)) # The "first x" going to grading_fun. nc = 1.0 / (e_shape - 1) # Grading power and function. power = nm.log(dd.min() / pe_dims.min()) / nm.log(nc) grading_fun = (lambda x: x**power) if grading_fun is None else grading_fun # Central block mesh. b_mesh = gen_block_mesh(b_dims, b_shape, centre, mat_id=0, verbose=False) # 'x' extension. e_mesh, xs = _get_extension_side(0, grading_fun, 10, b_dims, b_shape, e_dims, e_shape, centre) mesh = b_mesh + e_mesh # Mirror by 'x'. e_mesh.coors[:, 0] = (2 * centre[0]) - e_mesh.coors[:, 0] e_mesh.mat_ids[0].fill(11) mesh = mesh + e_mesh # 'y' extension. e_mesh, ys = _get_extension_side(1, grading_fun, 20, b_dims, b_shape, e_dims, e_shape, centre) mesh = mesh + e_mesh # Mirror by 'y'. e_mesh.coors[:, 1] = (2 * centre[1]) - e_mesh.coors[:, 1] e_mesh.mat_ids[0].fill(21) mesh = mesh + e_mesh # 'z' extension. e_mesh, zs = _get_extension_side(2, grading_fun, 30, b_dims, b_shape, e_dims, e_shape, centre) mesh = mesh + e_mesh # Mirror by 'z'. e_mesh.coors[:, 2] = (2 * centre[2]) - e_mesh.coors[:, 2] e_mesh.mat_ids[0].fill(31) mesh = mesh + e_mesh if name is not None: mesh.name = name # Verify merging by checking the number of nodes. n_nod = (nm.prod(nm.maximum(b_shape - 2, 0)) + 2 * nm.prod(xs) + 2 * (max(ys[0] - 2, 0) * ys[1] * ys[2]) + 2 * (max(zs[0] - 2, 0) * max(zs[1] - 2, 0) * zs[2])) if n_nod != mesh.n_nod: raise ValueError('Merge of meshes failed! (%d == %d)' % (n_nod, mesh.n_nod)) return mesh def tiled_mesh1d(conns, coors, ngrps, idim, n_rep, bb, eps=1e-6, ndmap=False): from sfepy.discrete.fem.periodic import match_grid_plane s1 = nm.nonzero(coors[:,idim] < (bb[0] + eps))[0] s2 = nm.nonzero(coors[:,idim] > (bb[1] - eps))[0] if s1.shape != s2.shape: raise ValueError, 'incompatible shapes: %s == %s'\ % (s1.shape, s2.shape) (nnod0, dim) = coors.shape nnod = nnod0 * n_rep - s1.shape[0] * (n_rep - 1) (nel0, nnel) = conns.shape nel = nel0 * n_rep dd = nm.zeros((dim,), dtype=nm.float64) dd[idim] = bb[1] - bb[0] m1, m2 = match_grid_plane(coors[s1], coors[s2], idim) oconns = nm.zeros((nel, nnel), dtype=nm.int32) ocoors = nm.zeros((nnod, dim), dtype=nm.float64) ongrps = nm.zeros((nnod,), dtype=nm.int32) if type(ndmap) is bool: ret_ndmap = ndmap else: ret_ndmap= True ndmap_out = nm.zeros((nnod,), dtype=nm.int32) el_off = 0 nd_off = 0 for ii in range(n_rep): if ii == 0: oconns[0:nel0,:] = conns ocoors[0:nnod0,:] = coors ongrps[0:nnod0] = ngrps.squeeze() nd_off += nnod0 mapto = s2[m2] mask = nm.ones((nnod0,), dtype=nm.int32) mask[s1] = 0 remap0 = nm.cumsum(mask) - 1 nnod0r = nnod0 - s1.shape[0] cidx = nm.where(mask) if ret_ndmap: ndmap_out[0:nnod0] = nm.arange(nnod0) else: remap = remap0 + nd_off remap[s1[m1]] = mapto mapto = remap[s2[m2]] ocoors[nd_off:(nd_off + nnod0r),:] =\ (coors[cidx,:] + ii * dd) ongrps[nd_off:(nd_off + nnod0r)] = ngrps[cidx].squeeze() oconns[el_off:(el_off + nel0),:] = remap[conns] if ret_ndmap: ndmap_out[nd_off:(nd_off + nnod0r)] = cidx[0] nd_off += nnod0r el_off += nel0 if ret_ndmap: if ndmap is not None: max_nd_ref = nm.max(ndmap) idxs = nm.where(ndmap_out > max_nd_ref) ndmap_out[idxs] = ndmap[ndmap_out[idxs]] return oconns, ocoors, ongrps, ndmap_out else: return oconns, ocoors, ongrps def gen_tiled_mesh(mesh, grid=None, scale=1.0, eps=1e-6, ret_ndmap=False): """ Generate a new mesh by repeating a given periodic element along each axis. Parameters ---------- mesh : Mesh instance The input periodic FE mesh. grid : array Number of repetition along each axis. scale : float, optional Scaling factor. eps : float, optional Tolerance for boundary detection. ret_ndmap : bool, optional If True, return global node map. Returns ------- mesh_out : Mesh instance FE mesh. ndmap : array Maps: actual node id --> node id in the reference cell. """ bbox = mesh.get_bounding_box() if grid is None: iscale = max(int(1.0 / scale), 1) grid = [iscale] * mesh.dim conns = mesh.conns[0] for ii in mesh.conns[1:]: conns = nm.vstack((conns, ii)) mat_ids = mesh.mat_ids[0] for ii in mesh.mat_ids[1:]: mat_ids = nm.hstack((mat_ids, ii)) coors = mesh.coors ngrps = mesh.ngroups nrep = nm.prod(grid) ndmap = None output('repeating %s ...' % grid) nblk = 1 for ii, gr in enumerate(grid): if ret_ndmap: (conns, coors, ngrps, ndmap0) = tiled_mesh1d(conns, coors, ngrps, ii, gr, bbox.transpose()[ii], eps=eps, ndmap=ndmap) ndmap = ndmap0 else: conns, coors, ngrps = tiled_mesh1d(conns, coors, ngrps, ii, gr, bbox.transpose()[ii], eps=eps) nblk *= gr output('...done') mat_ids = nm.tile(mat_ids, (nrep,)) mesh_out = Mesh.from_data('tiled mesh', coors * scale, ngrps, [conns], [mat_ids], [mesh.descs[0]]) if ret_ndmap: return mesh_out, ndmap else: return mesh_out def gen_misc_mesh(mesh_dir, force_create, kind, args, suffix='.mesh', verbose=False): """ Create sphere or cube mesh according to `kind` in the given directory if it does not exist and return path to it. """ import os from sfepy import data_dir defdir = os.path.join(data_dir, 'meshes') if mesh_dir is None: mesh_dir = defdir def retype(args, types, defaults): args=list(args) args.extend(defaults[len(args):len(defaults)]) return tuple([type(value) for type, value in zip(types, args) ]) if kind == 'sphere': default = [5, 41, args[0]] args = retype(args, [float, int, float], default) mesh_pattern = os.path.join(mesh_dir, 'sphere-%.2f-%.2f-%i') else: assert_(kind == 'cube') args = retype(args, (int, float, int, float, int, float), (args[0], args[1], args[0], args[1], args[0], args[1])) mesh_pattern = os.path.join(mesh_dir, 'cube-%i_%.2f-%i_%.2f-%i_%.2f') if verbose: output(args) filename = mesh_pattern % args if not force_create: if os.path.exists(filename): return filename if os.path.exists(filename + '.mesh') : return filename + '.mesh' if os.path.exists(filename + '.vtk'): return filename + '.vtk' if kind == 'cube': filename = filename + suffix ensure_path(filename) output('creating new cube mesh') output('(%i nodes in %.2f) x (%i nodes in %.2f) x (%i nodes in %.2f)' % args) output('to file %s...' % filename) mesh = gen_block_mesh(args[1::2], args[0::2], (0.0, 0.0, 0.0), name=filename) mesh.write(filename, io='auto') output('...done') else: import subprocess, shutil, tempfile filename = filename + '.mesh' ensure_path(filename) output('creating new sphere mesh (%i nodes, r=%.2f) and gradation %d' % args) output('to file %s...' % filename) f = open(os.path.join(defdir, 'quantum', 'sphere.geo')) tmp_dir = tempfile.mkdtemp() tmpfile = os.path.join(tmp_dir, 'sphere.geo.temp') ff = open(tmpfile, "w") ff.write(""" R = %i.0; n = %i.0; dens = %f; """ % args) ff.write(f.read()) f.close() ff.close() subprocess.call(['gmsh', '-3', tmpfile, '-format', 'mesh', '-o', filename]) shutil.rmtree(tmp_dir) output('...done') return filename def gen_mesh_from_string(mesh_name, mesh_dir): import re result = re.match('^\\s*([a-zA-Z]+)[:\\(]([^\\):]*)[:\\)](\\*)?\\s*$', mesh_name) if result is None: return mesh_name else: args = re.split(',', result.group(2)) kind = result.group(1) return gen_misc_mesh(mesh_dir, result.group(3)=='*', kind, args) def gen_mesh_from_goem(geo, a=None, quadratic=False, verbose=True, refine=False, polyfilename='./meshgen.poly', out='mesh', **kwargs): """ Runs mesh generator - tetgen for 3D or triangle for 2D meshes. Parameters ---------- geo : geometry geometry description a : int, optional a maximum area/volume constraint quadratic : bool, optional set True for quadratic elements verbose : bool, optional detailed information refine : bool, optional refines mesh Returns ------- mesh : Mesh instance triangular or tetrahedral mesh """ import os.path as op import pexpect # write geometry to poly file geo.to_poly_file(polyfilename) if not refine: params = "-Apq" else: params = "-Arq" if verbose: params = params + " -Q" if a != None and not refine: params = params + " -a%f" % (a) if refine: params = params + " -a" if quadratic: params = params + " -o2" params = params + " %s" % (polyfilename) meshgen_call = {2: 'triangle', 3: 'tetgen'} cmd = "%s %s" % (meshgen_call[geo.dim], params) if verbose: print "Generating mesh using", cmd if geo.dim == 2: p=pexpect.run(cmd, timeout=None) bname, ext = op.splitext(polyfilename) mesh = Mesh.from_file(bname + '.1.node') mesh.write(bname + '.' + out) if geo.dim == 3: p=pexpect.spawn(cmd, timeout=None) if not refine: p.expect("Opening %s." % (polyfilename)) else: p.expect("Opening %s.node.\r\n" % (polyfilename)) p.expect("Opening %s.ele.\r\n" % (polyfilename)) p.expect("Opening %s.face.\r\n" % (polyfilename)) p.expect("Opening %s.vol." % (polyfilename)) assert p.before == "" p.expect(pexpect.EOF) if p.before != "\r\n": print p.before raise "Error when running mesh generator (see above for output): %s" % cmd # http://www.cs.cmu.edu/~quake/triangle.html # # triangle [-prq__a__uAcDjevngBPNEIOXzo_YS__iFlsCQVh] input_file # -p Triangulates a Planar Straight Line Graph (.poly file). # -r Refines a previously generated mesh. # -q Quality mesh generation. A minimum angle may be specified. # -a Applies a maximum triangle area constraint. # -u Applies a user-defined triangle constraint. # -A Applies attributes to identify triangles in certain regions. # -c Encloses the convex hull with segments. # -D Conforming Delaunay: all triangles are truly Delaunay. # -j Jettison unused vertices from output .node file. # -e Generates an edge list. # -v Generates a Voronoi diagram. # -n Generates a list of triangle neighbors. # -g Generates an .off file for Geomview. # -B Suppresses output of boundary information. # -P Suppresses output of .poly file. # -N Suppresses output of .node file. # -E Suppresses output of .ele file. # -I Suppresses mesh iteration numbers. # -O Ignores holes in .poly file. # -X Suppresses use of exact arithmetic. # -z Numbers all items starting from zero (rather than one). # -o2 Generates second-order subparametric elements. # -Y Suppresses boundary segment splitting. # -S Specifies maximum number of added Steiner points. # -i Uses incremental method, rather than divide-and-conquer. # -F Uses Fortune's sweepline algorithm, rather than d-and-c. # -l Uses vertical cuts only, rather than alternating cuts. # -s Force segments into mesh by splitting (instead of using CDT). # -C Check consistency of final mesh. # -Q Quiet: No terminal output except errors. # -V Verbose: Detailed information on what I'm doing. # -h Help: Detailed instructions for Triangle. # http://tetgen.berlios.de/ # # tetgen [-prq_a_AiMYS_T_dzo_fenvgGOJBNEFICQVh] input_file # -p Tetrahedralizes a piecewise linear complex (PLC). # -r Reconstructs a previously generated mesh. # -q Refines mesh (to improve mesh quality). # -a Applies a maximum tetrahedron volume constraint. # -A Assigns attributes to tetrahedra in different regions. # -i Inserts a list of additional points into mesh. # -M No merge of coplanar facets. # -Y No splitting of input boundaries (facets and segments). # -S Specifies maximum number of added points. # -T Sets a tolerance for coplanar test (default 1e-8). # -d Detects self-intersections of facets of the PLC. # -z Numbers all output items starting from zero. # -o2 Generates second-order subparametric elements. # -f Outputs all faces to .face file. # -e Outputs all edges to .edge file. # -n Outputs tetrahedra neighbors to .neigh file. # -v Outputs Voronoi diagram to files. # -g Outputs mesh to .mesh file for viewing by Medit. # -G Outputs mesh to .msh file for viewing by Gid. # -O Outputs mesh to .off file for viewing by Geomview. # -K Outputs mesh to .vtk file for viewing by Paraview. # -J No jettison of unused vertices from output .node file. # -B Suppresses output of boundary information. # -N Suppresses output of .node file. # -E Suppresses output of .ele file. # -F Suppresses output of .face file. # -I Suppresses mesh iteration numbers. # -C Checks the consistency of the final mesh. # -Q Quiet: No terminal output except errors. # -V Verbose: Detailed information, more terminal output. # -h Help: A brief instruction for using TetGen. def gen_mesh_from_voxels(voxels, dims, etype='q'): """ Generate FE mesh from voxels (volumetric data). Parameters ---------- voxels : array Voxel matrix, 1=material. dims : array Size of one voxel. etype : integer, optional 'q' - quadrilateral or hexahedral elements 't' - triangular or tetrahedral elements Returns ------- mesh : Mesh instance Finite element mesh. """ dims = dims.squeeze() dim = len(dims) nddims = nm.array(voxels.shape) + 2 nodemtx = nm.zeros(nddims, dtype=nm.int32) if dim == 2: #iy, ix = nm.where(voxels.transpose()) iy, ix = nm.where(voxels) nel = ix.shape[0] if etype == 'q': nodemtx[ix,iy] += 1 nodemtx[ix + 1,iy] += 1 nodemtx[ix + 1,iy + 1] += 1 nodemtx[ix,iy + 1] += 1 elif etype == 't': nodemtx[ix,iy] += 2 nodemtx[ix + 1,iy] += 1 nodemtx[ix + 1,iy + 1] += 2 nodemtx[ix,iy + 1] += 1 nel *= 2 elif dim == 3: #iy, ix, iz = nm.where(voxels.transpose(1, 0, 2)) iy, ix, iz = nm.where(voxels) nel = ix.shape[0] if etype == 'q': nodemtx[ix,iy,iz] += 1 nodemtx[ix + 1,iy,iz] += 1 nodemtx[ix + 1,iy + 1,iz] += 1 nodemtx[ix,iy + 1,iz] += 1 nodemtx[ix,iy,iz + 1] += 1 nodemtx[ix + 1,iy,iz + 1] += 1 nodemtx[ix + 1,iy + 1,iz + 1] += 1 nodemtx[ix,iy + 1,iz + 1] += 1 elif etype == 't': nodemtx[ix,iy,iz] += 6 nodemtx[ix + 1,iy,iz] += 2 nodemtx[ix + 1,iy + 1,iz] += 2 nodemtx[ix,iy + 1,iz] += 2 nodemtx[ix,iy,iz + 1] += 2 nodemtx[ix + 1,iy,iz + 1] += 2 nodemtx[ix + 1,iy + 1,iz + 1] += 6 nodemtx[ix,iy + 1,iz + 1] += 2 nel *= 6 else: msg = 'incorrect voxel dimension! (%d)' % dim raise ValueError(msg) ndidx = nm.where(nodemtx) coors = nm.array(ndidx).transpose() * dims nnod = coors.shape[0] nodeid = -nm.ones(nddims, dtype=nm.int32) nodeid[ndidx] = nm.arange(nnod) # generate elements if dim == 2: elems = nm.array([nodeid[ix,iy], nodeid[ix + 1,iy], nodeid[ix + 1,iy + 1], nodeid[ix,iy + 1]]).transpose() elif dim == 3: elems = nm.array([nodeid[ix,iy,iz], nodeid[ix + 1,iy,iz], nodeid[ix + 1,iy + 1,iz], nodeid[ix,iy + 1,iz], nodeid[ix,iy,iz + 1], nodeid[ix + 1,iy,iz + 1], nodeid[ix + 1,iy + 1,iz + 1], nodeid[ix,iy + 1,iz + 1]]).transpose() if etype == 't': elems = elems_q2t(elems) eid = etype + str(dim) eltab = {'q2': 4, 'q3': 8, 't2': 3, 't3': 4} mesh = Mesh.from_data('voxel_data', coors, nm.ones((nnod,), dtype=nm.int32), {0: nm.ascontiguousarray(elems)}, {0: nm.ones((nel,), dtype=nm.int32)}, {0: '%d_%d' % (dim, eltab[eid])}) return mesh def gen_mesh_from_poly(filename, verbose=True): """ Import mesh generated by tetgen or triangle. Parameters ---------- filename : string file name Returns ------- mesh : Mesh instance triangular or tetrahedral mesh """ def getnodes(fnods,up): f=file(fnods) l=[int(x) for x in f.readline().split()] npoints,dim,nattrib,nbound=l if verbose: up.init(npoints) nodes=[] for line in f: if line[0]=="#": continue l=[float(x) for x in line.split()] l = l[:(dim + 1)] l[0]=int(l[0]) nodes.append(tuple(l)) assert l[0]==len(nodes) assert npoints==len(nodes) return nodes def getele(fele,up): f=file(fele) l=[int(x) for x in f.readline().split()] nele,nnod,nattrib=l #we have either linear or quadratic tetrahedra: if nnod in [4,10]: elem = 'tetra' linear = (nnod == 4) if nnod in [3, 7]: elem = 'tri' linear = (nnod == 3) # if nattrib!=1: # raise "tetgen didn't assign an entity number to each element (option -A)" els=[] regions={} for line in f: if line[0]=="#": continue l=[int(x) for x in line.split()] if elem == 'tri': if linear: assert (len(l) - 1 - nattrib) == 3 els.append((l[0],l[1],l[2],l[3])) regionnum=l[5] else: assert len(l)-2 == 10 els.append((l[0],54,l[1],l[2],l[3],l[4], l[5],l[6],l[7],l[8],l[9],l[10])) regionnum=l[11] if elem == 'tetra': if linear: assert len(l)-2 == 4 els.append((l[0],54,l[1],l[2],l[3],l[4])) regionnum=l[5] else: assert len(l)-2 == 10 els.append((l[0],54,l[1],l[2],l[3],l[4], l[5],l[6],l[7],l[8],l[9],l[10])) regionnum=l[11] if regionnum==0: print "see %s, element # %d"%(fele,l[0]) raise "there are elements not belonging to any physical entity" if regions.has_key(regionnum): regions[regionnum].append(l[0]) else: regions[regionnum]=[l[0]] assert l[0]==len(els) if verbose: up.update(l[0]) return els,regions,linear def getBCfaces(ffaces,up): f=file(ffaces) l=[int(x) for x in f.readline().split()] nfaces,nattrib=l if nattrib!=1: raise "tetgen didn't assign an entity number to each face \ (option -A)" if verbose: up.init(nfaces) faces={} for line in f: if line[0]=="#": continue l=[int(x) for x in line.split()] assert len(l)==5 regionnum=l[4] if regionnum==0: continue if faces.has_key(regionnum): faces[regionnum].append((l[1],l[2],l[3])) else: faces[regionnum]=[(l[1],l[2],l[3])] if verbose: up.update(l[0]) return faces def calculatexyz(nodes, els): """Calculate the missing xyz values in place""" def avg(i,j,n4,nodes): a=nodes[n4[i-1]-1] b=nodes[n4[j-1]-1] return (a[1]+b[1])/2, (a[2]+b[2])/2, (a[3]+b[3])/2 def getxyz(i,n4,nodes): if i+5==5: return avg(1,2,n4,nodes) if i+5==6: return avg(2,3,n4,nodes) if i+5==7: return avg(1,3,n4,nodes) if i+5==8: return avg(1,4,n4,nodes) if i+5==9: return avg(2,4,n4,nodes) if i+5==10: return avg(3,4,n4,nodes) raise "wrong topology" for e in els: n4=e[2:2+4] n6=e[2+4:2+4+10] for i,n in enumerate(n6): x,y,z=getxyz(i,n4,nodes) nodes[n-1]=(n,x,y,z) if verbose: print "Reading geometry from poly file..." m=Mesh() m.nodes=getnodes(filename+".node") m.elements,m.regions, lin=getele(filename+".ele") if not lin: #tetgen doesn't compute xyz coordinates of the aditional 6 nodes #(only of the 4 corner nodes) in tetrahedra. calculatexyz(m.nodes,m.elements) m.faces=getBCfaces(filename+".face") return m def main(): mesh = gen_block_mesh(nm.array((1.0, 2.0, 3.0)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), name='') mesh.write('0.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((1.0, 1.0, 2.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=False, open_angle = 0.0, name='') mesh.write('1.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((1.0, 1.0, 2.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=True, open_angle = 0.0, name='') mesh.write('2.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((1.0, 1.0, 2.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=True, open_angle = 0.5, name='') mesh.write('3.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((0.0, 0.0, 2.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=False, open_angle = 0.0, name='') mesh.write('4.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((0.0, 0.0, 1.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=True, open_angle = 0.5, name='') mesh.write('5.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((0.0, 0.0, 1.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=True, open_angle = 0.5, non_uniform=True, name='') mesh.write('6.mesh', io = 'auto') mesh = gen_cylinder_mesh(nm.array((0.5, 0.5, 1.0, 2.0, 3)), nm.array((10,10,10)), nm.array((1.0, 2.0, 3.0)), is_open=True, open_angle = 0.5, non_uniform=True, name='') mesh.write('7.mesh', io = 'auto') if __name__ == '__main__': main() sfepy-release_2015.1/sfepy/mesh/mesh_tools.py000066400000000000000000000117221247364230400212500ustar00rootroot00000000000000from sfepy.discrete.fem import FEDomain import scipy.sparse as sps import numpy as nm from sfepy.base.compat import factorial from sfepy.base.base import output from numpy.core import intc from numpy.linalg import lapack_lite def elems_q2t(el): nel, nnd = el.shape if nnd > 4: q2t = nm.array([[0, 2, 3, 6], [0, 3, 7, 6], [0, 7, 4, 6], [0, 5, 6, 4], [1, 5, 6, 0], [1, 6, 2, 0]]) else: q2t = nm.array([[0, 1, 2], [0, 2, 3]]) ns, nn = q2t.shape nel *= ns out = nm.zeros((nel, nn), dtype=nm.int32); for ii in range(ns): idxs = nm.arange(ii, nel, ns) out[idxs,:] = el[:, q2t[ii,:]] return nm.ascontiguousarray(out) def smooth_mesh(mesh, n_iter=4, lam=0.6307, mu=-0.6347, weights=None, bconstr=True, volume_corr=False): """ FE mesh smoothing. Based on: [1] Steven K. Boyd, Ralph Muller, Smooth surface meshing for automated finite element model generation from 3D image data, Journal of Biomechanics, Volume 39, Issue 7, 2006, Pages 1287-1295, ISSN 0021-9290, 10.1016/j.jbiomech.2005.03.006. (http://www.sciencedirect.com/science/article/pii/S0021929005001442) Parameters ---------- mesh : mesh FE mesh. n_iter : integer, optional Number of iteration steps. lam : float, optional Smoothing factor, see [1]. mu : float, optional Unshrinking factor, see [1]. weights : array, optional Edge weights, see [1]. bconstr: logical, optional Boundary constraints, if True only surface smoothing performed. volume_corr: logical, optional Correct volume after smoothing process. Returns ------- coors : array Coordinates of mesh nodes. """ def laplacian(coors, weights): n_nod = coors.shape[0] displ = (weights - sps.identity(n_nod)) * coors return displ def taubin(coors0, weights, lam, mu, n_iter): coors = coors0.copy() for ii in range(n_iter): displ = laplacian(coors, weights) if nm.mod(ii, 2) == 0: coors += lam * displ else: coors += mu * displ return coors def get_volume(el, nd): from sfepy.linalg.utils import dets_fast dim = nd.shape[1] nnd = el.shape[1] etype = '%d_%d' % (dim, nnd) if etype == '2_4' or etype == '3_8': el = elems_q2t(el) nel = el.shape[0] #bc = nm.zeros((dim, ), dtype=nm.double) mul = 1.0 / factorial(dim) if dim == 3: mul *= -1.0 mtx = nm.ones((nel, dim + 1, dim + 1), dtype=nm.double) mtx[:,:,:-1] = nd[el,:] vols = mul * dets_fast(mtx.copy()) vol = vols.sum() bc = nm.dot(vols, mtx.sum(1)[:,:-1] / nnd) bc /= vol return vol, bc import time output('smoothing...') tt = time.clock() if weights is None: n_nod = mesh.n_nod domain = FEDomain('mesh', mesh) cmesh = domain.cmesh # initiate all vertices as inner - hierarchy = 2 node_group = nm.ones((n_nod,), dtype=nm.int16) * 2 # boundary vertices - set hierarchy = 4 if bconstr: # get "vertices of surface" facets = cmesh.get_surface_facets() f_verts = cmesh.get_incident(0, facets, cmesh.dim - 1) node_group[f_verts] = 4 # generate costs matrix e_verts = cmesh.get_conn(1, 0).indices fc1, fc2 = e_verts[0::2], e_verts[1::2] idxs = nm.where(node_group[fc2] >= node_group[fc1]) rows1 = fc1[idxs] cols1 = fc2[idxs] idxs = nm.where(node_group[fc1] >= node_group[fc2]) rows2 = fc2[idxs] cols2 = fc1[idxs] crows = nm.concatenate((rows1, rows2)) ccols = nm.concatenate((cols1, cols2)) costs = sps.coo_matrix((nm.ones_like(crows), (crows, ccols)), shape=(n_nod, n_nod), dtype=nm.double) # generate weights matrix idxs = range(n_nod) aux = sps.coo_matrix((1.0 / nm.asarray(costs.sum(1)).squeeze(), (idxs, idxs)), shape=(n_nod, n_nod), dtype=nm.double) #aux.setdiag(1.0 / costs.sum(1)) weights = (aux.tocsc() * costs.tocsc()).tocsr() coors = taubin(mesh.coors, weights, lam, mu, n_iter) output('...done in %.2f s' % (time.clock() - tt)) if volume_corr: output('rescaling...') volume0, bc = get_volume(mesh.conns[0], mesh.coors) volume, _ = get_volume(mesh.conns[0], coors) scale = volume0 / volume output('scale factor: %.2f' % scale) coors = (coors - bc) * scale + bc output('...done in %.2f s' % (time.clock() - tt)) return coors sfepy-release_2015.1/sfepy/mesh/setup.py000066400000000000000000000006771247364230400202430ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/mesh/splinebox.py000066400000000000000000000153701247364230400211020ustar00rootroot00000000000000import numpy as nm from bspline import BSpline class SplineBox: """ B-spline geometry parametrization. Geometry can be modified by moving spline control points. """ @staticmethod def create_spb(bbox, coors, degree=3, nsg=None): bbox = nm.array(bbox) coors = nm.array(coors) dim = coors.shape[1] spbox = [] if nsg is None: nsg = nm.ones((dim,), dtype=nm.int) else: nsg = nm.array(nsg) ncpoints = 1 spbox = {'base': [None] * dim, 'uidx': [None] * dim, 'cp': [None] * dim, 'ncp': [None] * dim, 'cp_idx': [None] * dim} for idim in range(dim): ucoors, ucoors_idx = nm.unique(coors[:,idim], return_inverse=True) ncp = degree + nsg[idim] bspl = BSpline(degree, ncp=ncp) bspl.make_knot_vector(knot_range=(bbox[idim,0], bbox[idim,1])) knots = bspl.get_knot_vector() cp = nm.zeros((ncp,), dtype=nm.double) for j in range(cp.shape[0]): cp[j] = nm.sum(knots[(j + 1):(j + degree + 1)]) / degree spbox['base'][idim] = bspl.eval_basis(t=ucoors, return_val=True).copy() spbox['uidx'][idim] = ucoors_idx[:] spbox['cp'][idim] = cp[:] spbox['ncp'][idim] = ncp ncpoints *= ncp cpoints = nm.zeros((ncpoints, dim), dtype=nm.double) ncp = spbox['ncp'] cp = spbox['cp'] if dim == 2: idxs = nm.mgrid[0:ncp[0],0:ncp[1]] elif dim == 3: idxs = nm.mgrid[0:ncp[0],0:ncp[1],0:ncp[2]] aux = [1] for ii in range(dim - 1): aux.append(aux[ii] * ncp[ii]) spbox['mul_cp_idx'] = nm.array(aux) for ii in range(dim): spbox['cp_idx'][ii] = idxs[ii].reshape(ncpoints, order='F') cpoints[:,ii] = cp[ii][spbox['cp_idx'][ii]] return spbox, cpoints def __init__(self, bbox, coors, name='spbox', **kwargs): """ Create a SplineBox. Parameters ---------- bbox : array Mesh bounding box. coors : array Coordinates of mesh nodes. name : str Object name. """ self.spbox, self.control_points = self.create_spb(bbox, coors) self.ncoors, self.dim = coors.shape self.control_points0 = self.control_points.copy() def get_coors_shape(self): """ Get the shape of the coordinates. """ return (self.ncoors, self.dim) def get_control_points(self, init=False): """ Get spline control points coordinates. Returns ------- cpt_coors : array The coordinates of the spline control points. init : bool If True, return initial state. """ if init: return self.control_points0 else: return self.control_points def set_control_points(self, cpt_coors, add=False): """ Set spline control points position. Parameters ---------- cpt_coors : array The coordinates of the spline control points. add : bool If True, coors += cpt_coors """ if add: self.control_points += cpt_coors else: self.control_points = cpt_coors def change_shape(self, cpoint, val): """ Change shape of spline parametrization. Parameters ---------- cpoint : list The indices of the spline control point. val : array Displacement. """ idx = nm.dot(nm.array(cpoint), self.spbox['mul_cp_idx']) self.control_points[idx,:] += val def evaluate(self, cp_coors=None): """ Evaluate SplineBox. Returns ------- coors : array The coordinates corresponding to the actual spline control points position. cp_coors : array If is not None, use as control points cooardinates. """ if cp_coors is None: cp_coors = self.control_points ncp, dim = cp_coors.shape base = self.spbox['base'] uidx = self.spbox['uidx'] cp_idx = self.spbox['cp_idx'] ncoors = uidx[0].shape[0] coors = nm.zeros((ncoors, dim), dtype=nm.double) aux = nm.ones((ncoors,ncp), dtype=nm.double) for ii in range(self.dim): aux *= base[ii][uidx[ii],:][:,cp_idx[ii]] coors = nm.dot(aux, cp_coors) return coors def dvelocity(self, cpoint, dirvec): """ Evaluate derivative of spline in a given control point and direction. Parameters ---------- cpoint : list The indices of the spline control point. dir : array The directional vector. Returns ------- dvel : array The design velocity field. """ base = self.spbox['base'] uidx = self.spbox['uidx'] aux = nm.ones((self.ncoors,), dtype=nm.double) for ii in range(self.dim): aux *= base[ii][uidx[ii],cpoint[ii]] dvel = nm.dot(aux[:,nm.newaxis], nm.reshape(dirvec, (1,self.dim))) return dvel def write_vtk(self, filename): """ Write the SplineBox shape to the VTK file. Parameters ---------- filename : str The VTK file name. """ ncp = self.spbox['ncp'] npt = nm.prod(ncp) f = open(filename, 'w') f.write("# vtk DataFile Version 2.6\nspbox file\n" "ASCII\nDATASET UNSTRUCTURED_GRID\n\n") f.write("POINTS %d float\n" % npt) if self.dim == 2: ptformat = "%e %e 0.0\n" elif self.dim == 3: ptformat = "%e %e %e\n" for cpt in self.control_points: f.write(ptformat % tuple(cpt)) cells = nm.array([nm.arange(0, ncp[0] - 1), nm.arange(1, ncp[0])]).T cp = ncp[0] nc = cp - 1 for ii in range(1, self.dim): cells1 = [] ncpi = ncp[ii] for jj in range(ncpi): cells1.append(cells + jj * cp) nc = nc * ncpi cells = nm.array([nm.arange(0, ncpi - 1), nm.arange(1, ncpi)]).T * cp for jj in range(cp): cells1.append(cells + jj) nc += (ncpi - 1) * cp cells = nm.vstack(cells1) cp *= ncp[ii] f.write("\nCELLS %d %d\n" % (nc, 3 * nc)) for ii in cells: f.write("2 %d %d\n" % tuple(ii)) f.write("\nCELL_TYPES %d\n" % nc) f.write("3\n" * nc) f.close() sfepy-release_2015.1/sfepy/optimize/000077500000000000000000000000001247364230400174235ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/optimize/__init__.py000066400000000000000000000000001247364230400215220ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/optimize/free_form_def.py000066400000000000000000000172221247364230400225630ustar00rootroot00000000000000import tables as pt import numpy as nm import numpy.linalg as nla from sfepy.base.base import assert_, OneTypeList, Struct from sfepy.linalg import cycle from sfepy.discrete.fem.mesh import Mesh ## # 11.01.2006, c # 20.01.2006 # 23.01.2006 # 24.01.2006 # 12.04.2006 def read_spline_box_hdf5( filename ): if not pt.isHDF5File( filename ): raise ValueError, 'not a HDF5 file! (%s)' % filename fd = pt.openFile( filename, mode = 'r' ) boxes = fd.listNodes( '/box' ) n_box = len( boxes ) dim = len( fd.listNodes( boxes[0].ax ) ) sp_boxes = SplineBoxes( dim = dim, n_box = n_box, n_vertex = 0, spbs = OneTypeList( SplineBox ) ) for box in boxes: spb = SplineBox() sp_boxes.spbs.append( spb ) spb.ib = int( box._v_name ) spb.cpi = nm.asarray( box.cpi.read() ) - 1 spb.gpi = nm.asarray( box.gpi.read() ) - 1 spb.cxyz = nm.asarray( box.cxyz.read() ).transpose() spb.cxyz0 = spb.cxyz.copy() spb.ax = [] for axi in fd.listNodes( box.ax ): spb.ax.append( nm.asarray( axi.bsc.read() ) ) sp_boxes.n_vertex = max( sp_boxes.n_vertex, nm.amax( spb.gpi ) + 1 ) print nm.amin( spb.gpi ), nm.amax( spb.gpi ) ## # Fix cpi by rebuilding :). off = 0 n0, n1, n2 = spb.cpi.shape aux = nm.arange( n0 * n1 ).reshape( n1, n0 ).transpose() for ii in xrange( n2 ): spb.cpi[:,:,ii] = aux + off off += n0 * n1 fd.close() for perm in cycle( [n_box] * 2 ): if perm[0] == perm[1]: continue gpi1 = sp_boxes.spbs[perm[0]].gpi gpi2 = sp_boxes.spbs[perm[1]].gpi assert_( len( nm.intersect1d( gpi1, gpi2 ) ) == 0 ) return sp_boxes ## # 20.01.2006, c # 17.02.2006 # 12.04.2006 # 13.04.2006 def read_dsg_vars_hdf5( filename ): if not pt.isHDF5File( filename ): raise ValueError, 'not a HDF5 file! (%s)' % filename fd = pt.openFile( filename, mode = 'r' ) aux1 = fd.getNode( '/dsgvar/inx' ).read() aux2 = fd.getNode( '/dsgvar/val' ).read() aux3 = fd.getNode( '/dsgvar/nsbdsg' ).read() dsg_vars = DesignVariables( indx = nm.asarray( aux1, dtype = nm.int32 ), cxyz = nm.asarray( aux2 ), null_space_b = nm.asarray( aux3 ) ) dsg_vars.indx = dsg_vars.indx.transpose() dsg_vars.indx[:,1] -= 1 # No. of design variables. dsg_vars.n_dsg = dsg_vars.null_space_b.shape[1] # No. of control points. dsg_vars.n_cp = dsg_vars.indx.shape[0] # Design vector and initial design vector. dsg_vars.val0 = nm.zeros( (dsg_vars.n_dsg,), dtype = nm.float64 ) dsg_vars.val = dsg_vars.val0.copy() fd.close() return dsg_vars ## # 12.04.2006, c def interp_box_coordinates( spb, cxyz = None ): if cxyz is None: cxyz = spb.cxyz dim = len( spb.ax ) pp = nm.zeros( (spb.ax[0].shape[0], dim), dtype = nm.float64 ) for ii in xrange( spb.cpi.shape[0] ): for ij in xrange( spb.cpi.shape[1] ): aux = spb.ax[0][:,ii] * spb.ax[1][:,ij] for ik in xrange( spb.cpi.shape[2] ): aux2 = aux * spb.ax[2][:,ik] ip = spb.cpi[ii,ij,ik] pp += aux2[:,nm.newaxis] * cxyz[ip,:] ## print ii, ij, ik, ip, cxyz[:,ip] ## pause() return pp class DesignVariables( Struct ): ## # 20.01.2006, c def renumber_by_boxes( self, sp_boxes ): bmap = nm.array( [[ii, spb.ib + 1] for ii, spb in enumerate( sp_boxes.spbs )], dtype = nm.int32 ) bpos = nm.zeros( (nm.amax( bmap[:,1] ) + 1,), dtype = nm.int32 ) bpos[bmap[:,1]] = bmap[:,0] print bmap, bpos self.indx[:,0] = bpos[self.indx[:,0]] ## # 24.04.2006, c def normalize_null_space_base( self, magnitude = 1.0 ): for ic in xrange( self.n_dsg ): col_norm = nla.norm( self.null_space_b[:,ic] ) self.null_space_b[:,ic] /= magnitude * col_norm class SplineBox( Struct ): pass class SplineBoxes( Struct ): ## # 11.01.2006, c # 20.01.2006 # 12.04.2006 def interp_mesh_velocity( self, shape, dsg_vars, idsg ): n_nod, dim = shape cv = dsg_vars.null_space_b[:,idsg] cv = nm.reshape( cv, (dsg_vars.n_cp, dim) ) vel = nm.zeros( shape = shape, dtype = nm.float64 ) for ib, spb in enumerate( self.spbs ): ii = nm.where( ib == dsg_vars.indx[:,0] )[0] # print ib, ii if ii.shape[0] > 0: delta = nm.zeros_like( spb.cxyz ) delta[dsg_vars.indx[ii,1],:] = cv[ii,:] vv = interp_box_coordinates( spb, delta ) ## print delta ## print vv ## pause() vel[spb.gpi,:] = vv return vel ## # 23.01.2006, c # 24.01.2006 # 12.04.2006 def interp_coordinates( self ): coors = nm.zeros( (self.n_vertex, self.dim), nm.float64 ) # Body using the (design-deformed) Greville abscisae spb.cxyz. for spb in self.spbs: coors[spb.gpi] = interp_box_coordinates( spb ) return coors ## # 13.04.2006, c # 19.04.2006 def set_control_points( self, dsg_vars = None ): if dsg_vars is None: # Restore Greville abscisae spb.cxyz0. for spb in self.spbs: spb.cxyz = spb.cxyz0.copy() else: # Set design-deformed Greville abscisae spb.cxyz. delta = nm.dot( dsg_vars.null_space_b, dsg_vars.val ) delta = nm.reshape( delta, (dsg_vars.n_cp, self.dim) ) for ib, spb in enumerate( self.spbs ): spb.cxyz = spb.cxyz0.copy() ii = nm.where( ib == dsg_vars.indx[:,0] )[0] if ii.shape[0] > 0: ir = dsg_vars.indx[ii,1] spb.cxyz[ir,:] = spb.cxyz0[ir,:] + delta[ii,:] ## # 27.03.2007, c def create_mesh_from_control_points( self ): offset = 0 dim = self.spbs[0].cxyz.shape[1] coors = nm.empty((0, dim), dtype=nm.float64) conns = [] mat_ids = [] descs = [] for ib, spb in enumerate( self.spbs ): n_nod = spb.cxyz.shape[0] coors = nm.concatenate( (coors, spb.cxyz), 0 ) descs.append( '3_2' ) conn = [] for ij in xrange( spb.cpi.shape[1] ): for ik in xrange( spb.cpi.shape[2] ): inx = spb.cpi[:,ij,ik] row = [[p1, p2] for p1, p2 in zip( inx[:-1], inx[1:] )] conn.extend( row ) for ij in xrange( spb.cpi.shape[0] ): for ik in xrange( spb.cpi.shape[2] ): inx = spb.cpi[ij,:,ik] row = [[p1, p2] for p1, p2 in zip( inx[:-1], inx[1:] )] conn.extend( row ) for ij in xrange( spb.cpi.shape[0] ): for ik in xrange( spb.cpi.shape[1] ): inx = spb.cpi[ij,ik,:] row = [[p1, p2] for p1, p2 in zip( inx[:-1], inx[1:] )] conn.extend( row ) aux = nm.empty(len(conn), dtype=nm.int32) aux.fill(ib) mat_ids.append(aux) conns.append( offset + nm.array( conn, dtype = nm.int32 ) ) offset += n_nod mesh = Mesh.from_data('control_points', coors, None, conns, mat_ids, descs) return mesh if __name__ == '__main__': filename = 'klik.h5' spboxes = read_spline_box_hdf5( filename ) dsg_vars = read_dsg_vars_hdf5( filename ) sfepy-release_2015.1/sfepy/optimize/setup.py000066400000000000000000000006771247364230400211470ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/optimize/shape_optim.py000066400000000000000000000334131247364230400223110ustar00rootroot00000000000000import os.path as op import numpy as nm from sfepy.base.base import output, assert_, remap_dict, pause, Struct from sfepy.discrete.equations import get_expression_arg_names from sfepy.discrete.evaluate import eval_equations import free_form_def as ffd ## # c: 15.10.2007, r: 15.04.2008 def update_mesh( shape_opt, pb, design ): output( 'mesh update (%d)!' % shape_opt.cache.i_mesh ) ## # Update mesh. shape_opt.dsg_vars.val = design shape_opt.sp_boxes.set_control_points( shape_opt.dsg_vars ) coors = shape_opt.sp_boxes.interp_coordinates() pb.set_mesh_coors(coors, update_fields=True) pb.domain.mesh.write( op.join( shape_opt.save_dir, 'design.%03d.mesh' )\ % shape_opt.cache.i_mesh, io = 'auto' ) shape_opt.cache.i_mesh += 1 ## # c: 19.04.2006, r: 15.04.2008 def solve_problem_for_design(problem, design, shape_opt, opts, var_data=None, use_cache=True, is_mesh_update=True): """use_cache == True means direct problem...""" pb = problem if use_cache and nm.allclose( design, shape_opt.cache.design, rtol = opts.eps_r, atol = opts.eps_a ): output( 'cache!' ) state = shape_opt.cache.state else: if is_mesh_update: update_mesh( shape_opt, pb, design ) # Solve direct/adjoint problem. try: state = problem.solve(var_data=var_data) except ValueError: output('failed!') return None if use_cache: shape_opt.cache.state = state.copy(deep=True) shape_opt.cache.design = design.copy() if shape_opt.save_iter_sols: pb.save_state( op.join( shape_opt.save_dir, 'direct.%03d.vtk' )\ % (shape_opt.cache.i_mesh - 1), state ) if shape_opt.save_control_points: aux = shape_opt.sp_boxes.create_mesh_from_control_points() aux.write( op.join( shape_opt.save_dir, 'cp.%03d.vtk' )\ % (shape_opt.cache.i_mesh - 1), io = 'auto' ) if shape_opt.save_dsg_vars: filename = op.join( shape_opt.save_dir, 'dsg.%03d.txt' )\ % (shape_opt.cache.i_mesh - 1) shape_opt.dsg_vars.val.tofile( filename, ' ' ) return state def obj_fun(design, shape_opt, opts): """ The objective function evaluation. """ state_dp = solve_problem_for_design(shape_opt.dpb, design, shape_opt, opts) if state_dp is None: return None val = shape_opt.obj_fun(state_dp) return val def obj_fun_grad(design, shape_opt, opts): """ The objective function gradient evaluation. """ state_dp = solve_problem_for_design(shape_opt.dpb, design, shape_opt, opts) var_data = state_dp.get_parts() var_data = remap_dict(var_data, shape_opt.var_map) state_ap = solve_problem_for_design(shape_opt.apb, design, shape_opt, opts, var_data=var_data, use_cache=False, is_mesh_update=False) vec_sa = shape_opt.sensitivity(var_data, state_ap) return vec_sa def test_terms(idsgs, delta, shape_opt, dp_var_data, state_ap): """ Test individual shape derivative terms. """ def ccs(*args): try: shape_opt.check_custom_sensitivity(*args) except: output('running test failed!') ccs('d_sd_st_grad_div.i2.Omega_D( stabil.gamma, w, u, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_st_supg_c.i1.Omega_D( stabil.delta, w, u, w, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_st_supg_c.i1.Omega_D( stabil.delta, u, w, w, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_st_pspg_c.i1.Omega_D( stabil.tau, w, u, r, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_st_pspg_p.i1.Omega_D( stabil.tau, p, r, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_st_pspg_p.i1.Omega_D( stabil.tau, r, r, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_volume_dot.i1.Omega_D( p, r, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_volume_dot.i1.Omega_D( u, w, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_div.i1.Omega_D( u, r, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_div.i1.Omega_D( w, p, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_div_grad.i2.Omega_D( one.val, fluid.viscosity, u, w, Nu )', idsgs, delta, dp_var_data, state_ap) ccs('d_sd_convect.i2.Omega_D( u, w, Nu )', idsgs, delta, dp_var_data, state_ap) ## # 25.01.2006, c class ShapeOptimFlowCase( Struct ): def from_conf(conf, dpb, apb): opts = conf.options regions = dpb.domain.regions if opts.use_mesh_velocity: import tables as pt fd = pt.open_file( opts.mesh_velocity_filename, mode = 'r' ) aux = fd.get_node( '/u' ).read() nu = nm.asarray( aux, dtype = nm.float64 ) fd.close() else: nu = None sp_boxes = ffd.read_spline_box_hdf5( opts.ffd_spline_data ) dsg_vars = ffd.read_dsg_vars_hdf5( opts.ffd_spline_data ) dsg_vars.renumber_by_boxes( sp_boxes ) dsg_vars.normalize_null_space_base() print dsg_vars.indx.shape print dsg_vars.null_space_b.shape control_region = regions[opts.control_domain] design_region = regions[opts.design_domain] from sfepy.discrete.fem.mesh import Mesh cmm = Mesh.from_region(control_region, dpb.domain.mesh) dmm = Mesh.from_region(design_region, dpb.domain.mesh) cmm.write( 'control.mesh', io = 'auto' ) dmm.write( 'design.mesh', io = 'auto' ) SOFC = ShapeOptimFlowCase obj = SOFC(dpb=dpb, apb=apb, sp_boxes=sp_boxes, dsg_vars=dsg_vars, problem_type=opts.problem, objective_function_type=opts.objective_function, var_map=opts.var_map, nu=nu, use_mesh_velocity=opts.use_mesh_velocity, save_dir=opts.save_dir, save_iter_sols=opts.save_iter_sols, save_control_points=opts.save_control_points, save_dsg_vars=opts.save_dsg_vars, test_terms_if_test=opts.test_terms_if_test) equations = getattr( conf, '_'.join( ('equations_sensitivity', opts.problem, opts.objective_function) ) ) obj.obj_fun_term = equations['objective'] obj.sens_terms = equations['sensitivity'] obj.n_var = dsg_vars.val.shape[0] obj.create_evaluables() return obj from_conf = staticmethod( from_conf ) def create_evaluables(self): variables = self.dpb.create_variables().as_dict() possible_mat_names = get_expression_arg_names(self.obj_fun_term) materials = self.dpb.create_materials(possible_mat_names).as_dict() aux = self.dpb.create_evaluable(self.obj_fun_term, try_equations=False, var_dict=variables, **materials) self.of_equations, self.of_variables = aux possible_mat_names = get_expression_arg_names(self.sens_terms) materials = self.apb.create_materials(possible_mat_names).as_dict() aux = self.apb.create_evaluable(self.sens_terms, try_equations=False, var_dict=variables, **materials) self.ofg_equations, self.ofg_variables = aux ## # 07.03.2006, c # 12.04.2006 def generate_mesh_velocity( self, shape, idsgs = None ): if self.use_mesh_velocity: assert_( shape == self.nu.shape ) yield self.nu else: for idsg in idsgs: # print 'idsg:', idsg yield self.sp_boxes.interp_mesh_velocity( shape, self.dsg_vars, idsg ) def obj_fun(self, state_dp): """ Objective function evaluation for given direct problem state. """ var_data = state_dp.get_parts() var_data = remap_dict(var_data, self.var_map) self.of_equations.set_data(var_data, ignore_unknown=True) val = eval_equations(self.of_equations, self.of_variables) return nm.squeeze( val ) def sensitivity(self, dp_var_data, state_ap, select=None): """ Sensitivity of objective function evaluation for given direct and adjoint problem states. """ apb = self.apb var_data = state_ap.get_parts() var_data.update(dp_var_data) self.ofg_equations.set_data(var_data, ignore_unknown=True) dim = self.sp_boxes.dim n_mesh_nod = apb.domain.shape.n_nod if select is None: idsgs = nm.arange( self.dsg_vars.n_dsg, dtype = nm.int32 ) else: idsgs = select sa = [] output('computing sensitivity of %d variables...' % idsgs) shape = (n_mesh_nod, dim) for ii, nu in enumerate(self.generate_mesh_velocity(shape, idsgs)): self.ofg_variables['Nu'].set_data(nu.ravel()) ## from sfepy.base.ioutils import write_vtk ## cc = nla.norm( vec_nu ) ## nun = nu / cc ## out = {'v' : Struct( mode = 'vertex', data = nun, ## ap_name = 'nic', dof_types = (0,1,2) )} ## fd = open( 'anim/pert_%03d.pvtk' % (ii+1), 'w' ) ## write_vtk( fd, domain.mesh, out ) ## fd.close() ## print ii val = eval_equations(self.ofg_equations, self.ofg_variables, term_mode=1, preserve_caches=True) sa.append( val ) output('...done') vec_sa = nm.array( sa, nm.float64 ) return vec_sa def check_custom_sensitivity(self, term_desc, idsg, delta, dp_var_data, state_ap): pb = self.apb domain = pb.domain possible_mat_names = get_expression_arg_names(term_desc) materials = self.dpb.create_materials(possible_mat_names).as_dict() variables = self.ofg_equations.variables aux = self.dpb.create_evaluable(term_desc, try_equations=False, var_dict=variables, verbose=False, **materials) check0_equations, check0_variables = aux aux = self.dpb.create_evaluable(term_desc, try_equations=False, var_dict=variables, verbose=False, **materials) check1_equations, check1_variables = aux var_data = state_ap.get_parts() var_data.update(dp_var_data) check0_equations.set_data(var_data, ignore_unknown=True) check1_equations.set_data(var_data, ignore_unknown=True) dim = self.sp_boxes.dim n_mesh_nod = domain.shape.n_nod a_grad = [] d_grad = [] coors0 = domain.mesh.coors for nu in self.generate_mesh_velocity( (n_mesh_nod, dim), [idsg] ): check1_variables['Nu'].set_data(nu.ravel()) aux = eval_equations(check1_equations, check1_variables, term_mode=1) a_grad.append( aux ) coorsp = coors0 + delta * nu pb.set_mesh_coors( coorsp, update_fields=True ) valp = eval_equations(check0_equations, check0_variables, term_mode=0) coorsm = coors0 - delta * nu pb.set_mesh_coors( coorsm, update_fields=True ) valm = eval_equations(check0_equations, check0_variables, term_mode=0) d_grad.append( 0.5 * (valp - valm) / delta ) pb.set_mesh_coors( coors0, update_fields=True ) a_grad = nm.array( a_grad, nm.float64 ) d_grad = nm.array( d_grad, nm.float64 ) output( term_desc + ':' ) output( ' a: %.8e' % a_grad ) output( ' d: %.8e' % d_grad ) output( '-> ratio:', a_grad / d_grad ) pause() def check_sensitivity(self, idsgs, delta, dp_var_data, state_ap): a_grad = self.sensitivity(dp_var_data, state_ap, select=idsgs) output( a_grad ) d_grad = [] dpb = self.dpb dim = self.sp_boxes.dim n_mesh_nod = dpb.domain.shape.n_nod coors0 = dpb.get_mesh_coors().copy() for nu in self.generate_mesh_velocity( (n_mesh_nod, dim), idsgs ): coorsp = coors0 + delta * nu dpb.set_mesh_coors( coorsp, update_fields=True ) dpb.time_update() state_dp = dpb.solve() valp = self.obj_fun(state_dp) output( 'obj_fun+:', valp ) coorsm = coors0 - delta * nu dpb.set_mesh_coors( coorsm, update_fields=True ) dpb.time_update() state_dp = dpb.solve() valm = self.obj_fun(state_dp) output( 'obj_fun-:', valm ) d_grad.append( 0.5 * (valp - valm) / delta ) ## # Restore original mesh coordinates. dpb.set_mesh_coors( coors0, update_fields=True ) d_grad = nm.array( d_grad, nm.float64 ) output( 'a: %.8e' % a_grad ) output( 'd: %.8e' % d_grad ) output( a_grad / d_grad ) pause() sfepy-release_2015.1/sfepy/physics/000077500000000000000000000000001247364230400172455ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/physics/__init__.py000066400000000000000000000000001247364230400213440ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/physics/potentials.py000066400000000000000000000120721247364230400220030ustar00rootroot00000000000000""" Classes for constructing potentials of atoms and molecules. """ import numpy as nm from sfepy.base.base import as_float_or_complex, Container, Struct from sfepy.linalg import norm_l2_along_axis class CompoundPotential(Container): """ Sum of several potentials. """ def __init__(self, objs=None): Container.__init__(self, objs=objs) self.update_expression() def insert(self, ii, obj): Container.insert(self, ii, obj) self.update_expression() def append(self, obj): Container.append(self, obj) self.update_expression() def update_expression(self): self.expression = [] for pot in self: aux = [pot.sign, pot.name, pot.centre] self.expression.append(aux) def __mul__(self, other): out = CompoundPotential() for name, pot in self.iteritems(): out.append(pot * other) return out def __rmul__(self, other): return self * other def __add__(self, other): if isinstance(other, PotentialBase): out = self.copy() out.append(other) elif isinstance(other, CompoundPotential): out = CompoundPotential(self._objs + other._objs) else: raise ValueError('cannot add CompoundPotential with %s!' % other) return out def __radd__(self, other): return self + other def __sub__(self, other): if isinstance(other, PotentialBase): out = self + (-other) elif isinstance(other, CompoundPotential): out = self + (-other) else: raise ValueError('cannot subtract CompoundPotential with %s!' \ % other) return out def __rsub__(self, other): return -self + other def __pos__(self): return self def __neg__(self): return -1.0 * self def __call__(self, coors): val = 0.0 for pot in self: val += pot(coors) return val class PotentialBase(Struct): """ Base class for potentials. """ def __mul__(self, other): try: mul = as_float_or_complex(other) except ValueError: raise ValueError('cannot multiply PotentialBase with %s!' % other) out = self.copy(name=self.name) out.sign = mul * self.sign return out def __rmul__(self, other): return self * other def __add__(self, other): if isinstance(other, PotentialBase): out = CompoundPotential([self, other]) elif nm.isscalar(other): if other == 0: out = self else: out = NotImplemented else: out = NotImplemented return out def __radd__(self, other): return self + other def __sub__(self, other): if isinstance(other, PotentialBase): out = CompoundPotential([self, -1.0 * other]) elif nm.isscalar(other): if other == 0: out = self else: out = NotImplemented else: out = NotImplemented return out def __rsub__(self, other): return -self + other def __pos__(self): return self def __neg__(self): out = -1.0 * self return out class Potential(PotentialBase): """ Single spherically symmetric potential. """ def __init__(self, name, function, centre=None, dim=3, args=None): self.name = name self.function = function self.args = args if args is not None else () if centre is None: centre = nm.array([0.0] * dim, dtype=nm.float64) self.centre = nm.asarray(centre, dtype=nm.float64) self.sign = 1.0 def __call__(self, coors): r = self.get_distance(coors) pot = self.sign * self.function(r, *self.args) return pot def __iter__( self ): """ Allow iteration even over a single potential. """ yield self def __len__(self): """ Allow length even of a single potential. """ return 1 def get_distance(self, coors): """ Get the distance of points with coordinates `coors` of the potential centre. """ return norm_l2_along_axis(coors - self.centre) def get_charge(self, coors, eps=1e-6): """ Get charge corresponding to the potential by numerically applying Laplacian in spherical coordinates. """ r = self.get_distance(coors) args = self.args f0 = self.function(r, *args) fp1 = self.function(r + eps, *args) fp2 = self.function(r + 2.0 * eps, *args) fm1 = self.function(r - eps, *args) fm2 = self.function(r - 2.0 * eps, *args) # Second derivative w.r.t. r. d2 = (fp2 - 2.0 * f0 + fm2) / (4.0 * eps * eps) # First derivative w.r.t. r. d1 = (fp1 - fm1) / (2.0 * eps) charge = - self.sign / (4.0 * nm.pi) * (d2 + 2.0 * d1 / r) return charge sfepy-release_2015.1/sfepy/physics/schroedinger_app.py000066400000000000000000000165271247364230400231460ustar00rootroot00000000000000import os import time from math import pi import numpy as nm from sfepy.base.base import Struct, output, get_default from sfepy.applications import PDESolverApp from sfepy.solvers import Solver def guess_n_eigs(n_electron, n_eigs=None): """ Guess the number of eigenvalues (energies) to compute so that the smearing iteration converges. Passing n_eigs overrides the guess. """ if n_eigs is not None: return n_eigs if n_electron > 2: n_eigs = int(1.2 * ((0.5 * n_electron) + 5)) else: n_eigs = n_electron return n_eigs class SchroedingerApp(PDESolverApp): """ Base application for electronic structure calculations. Subclasses should typically override `solve_eigen_problem()` method. This class allows solving only simple single electron problems, e.g. well, oscillator, hydrogen atom and boron atom with 1 electron. """ @staticmethod def process_options(options): """ Application options setup. Sets default values for missing non-compulsory options. Options: save_eig_vectors : (from_largest, from_smallest) or None If None, save all. """ get = options.get n_electron = get('n_electron', 5) n_eigs = guess_n_eigs(n_electron, n_eigs=get('n_eigs', None)) return Struct(eigen_solver=get('eigen_solver', None, 'missing "eigen_solver" in options!'), n_electron=n_electron, n_eigs=n_eigs, save_eig_vectors=get('save_eig_vectors', None)) def __init__(self, conf, options, output_prefix, **kwargs): PDESolverApp.__init__(self, conf, options, output_prefix, init_equations=False) def setup_options(self): PDESolverApp.setup_options(self) opts = SchroedingerApp.process_options(self.conf.options) self.app_options += opts def setup_output(self): """ Setup various file names for the output directory given by `self.problem.output_dir`. """ output_dir = self.problem.output_dir opts = self.app_options opts.output_dir = output_dir self.mesh_results_name = os.path.join(opts.output_dir, self.problem.get_output_name()) self.eig_results_name = os.path.join(opts.output_dir, self.problem.ofn_trunk + '_eigs.txt') def call(self): # This cannot be in __init__(), as parametric calls may change # the output directory. self.setup_output() evp = self.solve_eigen_problem() output("solution saved to %s" % self.problem.get_output_name()) output("in %s" % self.app_options.output_dir) if self.post_process_hook_final is not None: # User postprocessing. self.post_process_hook_final(self.problem, evp=evp) return evp def solve_eigen_problem(self): options = self.options opts = self.app_options pb = self.problem dim = pb.domain.mesh.dim pb.set_equations(pb.conf.equations) pb.time_update() output('assembling lhs...') tt = time.clock() mtx_a = pb.evaluate(pb.conf.equations['lhs'], mode='weak', auto_init=True, dw_mode='matrix') output('...done in %.2f s' % (time.clock() - tt)) output('assembling rhs...') tt = time.clock() mtx_b = pb.evaluate(pb.conf.equations['rhs'], mode='weak', dw_mode='matrix') output('...done in %.2f s' % (time.clock() - tt)) n_eigs = get_default(opts.n_eigs, mtx_a.shape[0]) output('computing resonance frequencies...') eig = Solver.any_from_conf(pb.get_solver_conf(opts.eigen_solver)) eigs, mtx_s_phi = eig(mtx_a, mtx_b, n_eigs, eigenvectors=True) output('...done') bounding_box = pb.domain.mesh.get_bounding_box() # this assumes a box (3D), or a square (2D): a = bounding_box[1][0] - bounding_box[0][0] E_exact = None if options.hydrogen or options.boron: if options.hydrogen: Z = 1 elif options.boron: Z = 5 if dim == 2: E_exact = [-float(Z)**2/2/(n-0.5)**2/4 for n in [1]+[2]*3+[3]*5 + [4]*8 + [5]*15] elif dim == 3: E_exact = [-float(Z)**2/2/n**2 for n in [1]+[2]*2**2+[3]*3**2 ] if options.well: if dim == 2: E_exact = [pi**2/(2*a**2)*x for x in [2, 5, 5, 8, 10, 10, 13, 13, 17, 17, 18, 20, 20 ] ] elif dim == 3: E_exact = [pi**2/(2*a**2)*x for x in [3, 6, 6, 6, 9, 9, 9, 11, 11, 11, 12, 14, 14, 14, 14, 14, 14, 17, 17, 17] ] if options.oscillator: if dim == 2: E_exact = [1] + [2]*2 + [3]*3 + [4]*4 + [5]*5 + [6]*6 elif dim == 3: E_exact = [float(1)/2+x for x in [1]+[2]*3+[3]*6+[4]*10 ] if E_exact is not None: output("a=%f" % a) output("Energies:") output("n exact FEM error") for i, e in enumerate(eigs): from numpy import NaN if i < len(E_exact): exact = E_exact[i] err = 100*abs((exact - e)/exact) else: exact = NaN err = NaN output("%d: %.8f %.8f %5.2f%%" % (i, exact, e, err)) else: output(eigs) mtx_phi = self.make_full(mtx_s_phi) self.save_results(eigs, mtx_phi) return Struct(pb=pb, eigs=eigs, mtx_phi=mtx_phi) def make_full(self, mtx_s_phi): variables = self.problem.get_variables() mtx_phi = nm.empty((variables.di.ptr[-1], mtx_s_phi.shape[1]), dtype=nm.float64) for ii in xrange(mtx_s_phi.shape[1]): mtx_phi[:,ii] = variables.make_full_vec(mtx_s_phi[:,ii]) return mtx_phi def save_results(self, eigs, mtx_phi, out=None, mesh_results_name=None, eig_results_name=None): mesh_results_name = get_default(mesh_results_name, self.mesh_results_name) eig_results_name = get_default(eig_results_name, self.eig_results_name) pb = self.problem save = self.app_options.save_eig_vectors n_eigs = self.app_options.n_eigs out = get_default(out, {}) state = pb.create_state() aux = {} for ii in xrange(eigs.shape[0]): if save is not None: if (ii > save[0]) and (ii < (n_eigs - save[1])): continue state.set_full(mtx_phi[:,ii]) aux = state.create_output_dict() key = aux.keys()[0] out[key+'%03d' % ii] = aux[key] if aux.get('__mesh__') is not None: out['__mesh__'] = aux['__mesh__'] pb.save_state(mesh_results_name, out=out) fd = open(eig_results_name, 'w') eigs.tofile(fd, ' ') fd.close() sfepy-release_2015.1/sfepy/physics/setup.py000066400000000000000000000006341247364230400207620ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/postprocess/000077500000000000000000000000001247364230400201475ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/postprocess/__init__.py000066400000000000000000000000001247364230400222460ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/postprocess/dataset_manager.py000066400000000000000000000227411247364230400236460ustar00rootroot00000000000000""" Code to help with managing a TVTK data set in Pythonic ways. """ # Author: Prabhu Ramachandran # Copyright (c) 2008, Enthought, Inc. # License: BSD Style. try: from enthought.traits.api import (HasTraits, Instance, Array, Str, Property, Dict) from enthought.tvtk.api import tvtk from enthought.tvtk.array_handler import array2vtk except: from traits.api import (HasTraits, Instance, Array, Str, Property, Dict) from tvtk.api import tvtk from tvtk.array_handler import array2vtk ###################################################################### # Utility functions. ###################################################################### def get_array_type(arr): """Returns if the array is a scalar ('scalars'), vector ('vectors') or tensor ('tensors'). It looks at the number of components to decide. If it has a wierd number of components it returns the empty string. """ n = arr.number_of_components ret = {1: 'scalars', 3: 'vectors', 4: 'scalars', 9:'tensors'} return ret.get(n) or '' def get_attribute_list(data): """ Gets scalar, vector and tensor information from the given data (either cell or point data). """ attr = {'scalars':[], 'vectors':[], 'tensors':[]} if data is not None: n = data.number_of_arrays for i in range(n): name = data.get_array_name(i) t = get_array_type(data.get_array(i)) if len(t) > 0 and name is not None: attr[t].extend([name]) def _mk_first(lst, value): """Makes the specified `value` the first item in `lst`.""" lst.remove(value) lst.insert(0, value) attr1 = attr.copy() for a in attr: v = getattr(data, a) if v is not None: name = v.name if name is not None: try: _mk_first(attr[a], v.name) except ValueError: # Sometimes we have a multi-component scalar. attr1[a].insert(0, name) return attr1 def get_all_attributes(obj): """Gets the scalar, vector and tensor attributes that are available in the given VTK data object. """ point_attr = get_attribute_list(obj.point_data) cell_attr = get_attribute_list(obj.cell_data) return point_attr, cell_attr ################################################################################ # `DatasetManager` class. ################################################################################ class DatasetManager(HasTraits): # The TVTK dataset we manage. dataset = Instance(tvtk.DataSet) # Our output, this is the dataset modified by us with different # active arrays. output = Property(Instance(tvtk.DataSet)) # The point scalars for the dataset. You may manipulate the arrays # in-place. However adding new keys in this dict will not set the # data in the `dataset` for that you must explicitly call # `add_array`. point_scalars = Dict(Str, Array) # Point vectors. point_vectors = Dict(Str, Array) # Point tensors. point_tensors = Dict(Str, Array) # The cell scalars for the dataset. cell_scalars = Dict(Str, Array) cell_vectors = Dict(Str, Array) cell_tensors = Dict(Str, Array) # This filter allows us to change the attributes of the data # object and will ensure that the pipeline is properly taken care # of. Directly setting the array in the VTK object will not do # this. _assign_attribute = Instance(tvtk.AssignAttribute, args=(), allow_none=False) ###################################################################### # Public interface. ###################################################################### def add_array(self, array, name, category='point'): """ Add an array to the dataset to specified category ('point' or 'cell'). """ assert len(array.shape) <= 2, "Only 2D arrays can be added." data = getattr(self.dataset, '%s_data'%category) if len(array.shape) == 2: assert array.shape[1] in [1, 3, 4, 9], \ "Only Nxm arrays where (m in [1,3,4,9]) are supported" va = tvtk.to_tvtk(array2vtk(array)) va.name = name data.add_array(va) mapping = {1:'scalars', 3: 'vectors', 4: 'scalars', 9: 'tensors'} dict = getattr(self, '%s_%s'%(category, mapping[array.shape[1]])) dict[name] = array else: va = tvtk.to_tvtk(array2vtk(array)) va.name = name data.add_array(va) dict = getattr(self, '%s_scalars'%(category)) dict[name] = array def remove_array(self, name, category='point'): """Remove an array by its name and optional category (point and cell). Returns the removed array. """ type = self._find_array(name, category) data = getattr(self.dataset, '%s_data'%category) data.remove_array(name) d = getattr(self, '%s_%s'%(category, type)) return d.pop(name) def rename_array(self, name1, name2, category='point'): """Rename a particular array from `name1` to `name2`. """ type = self._find_array(name1, category) data = getattr(self.dataset, '%s_data'%category) arr = data.get_array(name1) arr.name = name2 d = getattr(self, '%s_%s'%(category, type)) d[name2] = d.pop(name1) def activate(self, name, category='point'): """Make the specified array the active one. """ type = self._find_array(name, category) self._activate_data_array(type, category, name) def update(self): """Update the dataset when the arrays are changed. """ self.dataset.modified() self._assign_attribute.update() ###################################################################### # Non-public interface. ###################################################################### def _dataset_changed(self, value): self._setup_data() self._assign_attribute.input = value def _get_output(self): return self._assign_attribute.output def _setup_data(self): """Updates the arrays from what is available in the input data. """ input = self.dataset pnt_attr, cell_attr = get_all_attributes(input) self._setup_data_arrays(cell_attr, 'cell') self._setup_data_arrays(pnt_attr, 'point') def _setup_data_arrays(self, attributes, d_type): """Given the dict of the attributes from the `get_all_attributes` function and the data type (point/cell) data this will setup the object and the data. """ attrs = ['scalars', 'vectors', 'tensors'] aa = self._assign_attribute input = self.dataset data = getattr(input, '%s_data'%d_type) for attr in attrs: values = attributes[attr] # Get the arrays from VTK, create numpy arrays and setup our # traits. arrays = {} for name in values: va = data.get_array(name) npa = va.to_array() # Now test if changes to the numpy array are reflected # in the VTK array, if they are we are set, else we # have to set the VTK array back to the numpy array. if len(npa.shape) > 1: old = npa[0,0] npa[0][0] = old - 1 if abs(va[0][0] - npa[0,0]) > 1e-8: va.from_array(npa) npa[0][0] = old else: old = npa[0] npa[0] = old - 1 if abs(va[0] - npa[0]) > 1e-8: va.from_array(npa) npa[0] = old arrays[name] = npa setattr(self, '%s_%s'%(d_type, attr), arrays) def _activate_data_array(self, data_type, category, name): """Activate (or deactivate) a particular array. Given the nature of the data (scalars, vectors etc.) and the type of data (cell or points) it activates the array given by its name. Parameters: ----------- data_type: one of 'scalars', 'vectors', 'tensors' category: one of 'cell', 'point'. name: string of array name to activate. """ input = self.dataset data = None data = getattr(input, category + '_data') method = getattr(data, 'set_active_%s'%data_type) if len(name) == 0: # If the value is empty then we deactivate that attribute. method(None) else: aa = self._assign_attribute method(name) aa.assign(name, data_type.upper(), category.upper() +'_DATA') aa.update() def _find_array(self, name, category='point'): """Return information on which kind of attribute contains the specified named array in a particular category.""" types = ['scalars', 'vectors', 'tensors'] for type in types: attr = '%s_%s'%(category, type) d = getattr(self, attr) if name in d.keys(): return type raise KeyError('No %s array named %s available in dataset' %(category, name)) sfepy-release_2015.1/sfepy/postprocess/domain_specific.py000066400000000000000000000164541247364230400236470ustar00rootroot00000000000000""" Domain-specific plot functions. All the plot functions accept the following parameters: - `source` : Mayavi source - `ctp` : Mayavi cell-to-point filter - `position` : `(x, y, z)` - `family` : 'point' or 'cell' - `kind` : 'scalars', 'vectors' or 'tensors' - `name` : name of a variable All the plot functions return: - `kind` : 'scalars', 'vectors' or 'tensors' - `name` : name of a variable - `active` : Mayavi module """ from copy import copy from sfepy.base.base import assert_, Struct from sfepy.postprocess.utils import mlab class DomainSpecificPlot(Struct): """ Class holding domain-specific plot function and its parameters. """ def __init__(self, fun_name, args): Struct.__init__(self, fun_name=fun_name) ii = fun_name.rfind('.') if ii >= 0: # Function in a user module. mod_name, fun_name = fun_name[:ii], fun_name[ii+1:] mod = __import__(mod_name, fromlist=[fun_name]) self.fun = getattr(mod, fun_name) else: self.fun = globals()[self.fun_name] kwargs = {} for arg in args: key, val = arg.split('=') kwargs[key] = eval(val) self.kwargs = kwargs def __call__(self, *args, **kwargs): _kwargs = copy(kwargs) _kwargs.update(self.kwargs) return self.fun(*args, **_kwargs) def _get_scalars(color_name, color_kind, active): """ Get scalars out of active data. """ if color_kind == 'tensors': new_name = '|%s|' % color_name active = mlab.pipeline.set_active_attribute(active) active.point_tensors_name = color_name active = mlab.pipeline.extract_tensor_components(active) elif color_kind == 'vectors': new_name = '|%s|' % color_name active = mlab.pipeline.set_active_attribute(active) active.point_vectors_name = color_name active = mlab.pipeline.extract_vector_norm(active) elif color_kind == 'scalars': new_name = '%s' % color_name active = mlab.pipeline.set_active_attribute(active) active.point_scalars_name = color_name return new_name, active def plot_displacements(source, ctp, bbox, position, family, kind, name, rel_scaling=1.0, color_kind=None, color_name=None, opacity=1.0): """ Show displacements by displaying a colormap given by quantity `color_name` on the deformed mesh. Parameters ---------- rel_scaling : float The relative scaling of displacements. color_kind : str, optional The kind of data determining the colormap. color_name : str, optional The name of data determining the colormap. opacity : float The surface plot opacity. """ assert_(kind == 'vectors') if color_name is None: active = mlab.pipeline.set_active_attribute(source) else: active = mlab.pipeline.set_active_attribute(ctp) active.point_vectors_name = name active = mlab.pipeline.warp_vector(active) active.filter.scale_factor = rel_scaling if color_name is None: new_kind = kind new_name = name active = mlab.pipeline.extract_vector_norm(active) else: new_kind = 'scalars' new_name, active = _get_scalars(color_name, color_kind, active) surf = mlab.pipeline.surface(active, opacity=opacity) surf.actor.actor.position = position return new_kind, new_name, active def plot_warp_scalar(source, ctp, bbox, position, family, kind, name, rel_scaling=1.0, color_kind=None, color_name=None, opacity=1.0): """ Show a 2D scalar field by displaying a colormap given by quantity `color_name` on the deformed mesh deformed by the scalar in the third dimension. Parameters ---------- rel_scaling : float The relative scaling of scalar warp. color_kind : str, optional The kind of data determining the colormap. color_name : str, optional The name of data determining the colormap. opacity : float The surface plot opacity. """ assert_(kind == 'scalars') if color_name is None: active = mlab.pipeline.set_active_attribute(source) else: active = mlab.pipeline.set_active_attribute(ctp) active.point_scalars_name = name active = mlab.pipeline.warp_scalar(active) active.filter.scale_factor = rel_scaling if color_name is None: new_kind = kind new_name = name else: new_kind = 'scalars' new_name, active = _get_scalars(color_name, color_kind, active) surf = mlab.pipeline.surface(active, opacity=opacity) surf.actor.actor.position = position return new_kind, new_name, active def plot_velocity(source, ctp, bbox, position, family, kind, name, seed='sphere', type='ribbon', integration_direction='both', seed_scale=1.0, seed_resolution=20, widget_enabled=True, color_kind=None, color_name=None, opacity=1.0, **kwargs): """ Show velocity field by displaying streamlines and optionally a surface plot given by quantity `color_name`. Parameters ---------- seed : one of ('sphere', 'point', 'line', 'plane') The streamline seed name. type : one of ('line', 'ribbon', 'tube') The streamline seed line type. integration_direction : one of ('forward', 'backward', 'both') The stream tracer integration direction. seed_scale : float The seed size scale. seed_resolution : int The number of seed points in a direction (depends on `seed`). widget_enabled : bool It True, the seed widget is visible and can be interacted with. color_kind : str, optional The kind of data determining the colormap. color_name : str, optional The name of data determining the colormap. opacity : float The surface plot opacity. **kwargs : dict Additional keyword arguments for attributes of `streamline.seed.widget`. """ assert_(kind == 'vectors') active_v = mlab.pipeline.set_active_attribute(source) active_v.point_vectors_name = name active_n = mlab.pipeline.extract_vector_norm(active_v) s = mlab.pipeline.streamline streamline = s(active_n, seedtype=seed, linetype=type, seed_visible=True, seed_scale=seed_scale, integration_direction=integration_direction, seed_resolution=seed_resolution) streamline.update_streamlines = True streamline.seed.widget.enabled = widget_enabled for key, val in kwargs.iteritems(): setattr(streamline.seed.widget, key, val) if color_name is None: active = active_n else: new_name, active = _get_scalars(color_name, color_kind, source) surf = mlab.pipeline.surface(active, opacity=opacity) surf.actor.actor.position = position if color_name is not None: mm = active.children[0] lm = mm.scalar_lut_manager scalar_bars = [['point', new_name, lm]] active_v.point_vectors_name = name # This is needed to have # colors by velocity! return kind, name, active_n, scalar_bars else: return kind, name, active_n sfepy-release_2015.1/sfepy/postprocess/plot_cmesh.py000066400000000000000000000047521247364230400226660ustar00rootroot00000000000000""" Functions to visualize the CMesh geometry and topology. """ import matplotlib.pyplot as plt from sfepy.postprocess.plot_dofs import _get_axes def plot_wireframe(ax, cmesh, color='k', show=False): """ Plot a finite element mesh as a wireframe using edges connectivity. """ coors = cmesh.coors dim = cmesh.dim edges = cmesh.get_conn(1, 0) ax = _get_axes(ax, dim) for edge_vertices in edges.indices.reshape((edges.num, 2)): cc = coors[edge_vertices] if dim == 3: ax.plot(cc[:, 0], cc[:, 1], cc[:, 2], color) else: ax.plot(cc[:, 0], cc[:, 1], color) if show: plt.show() return ax def plot_entities(ax, cmesh, edim, color='b', size=10, show=False): """ Plot mesh topology entities using scatter plot. """ coors = cmesh.get_centroids(edim) dim = cmesh.dim ax = _get_axes(ax, dim) if dim == 3: ax.scatter(coors[:, 0], coors[:, 1], coors[:, 2], s=size, c=color) else: ax.scatter(coors[:, 0], coors[:, 1], s=size, c=color) if show: plt.show() return ax def label_global_entities(ax, cmesh, edim, color='b', fontsize=10, show=False): """ Label mesh topology entities using global ids. """ coors = cmesh.get_centroids(edim) dim = cmesh.dim ax = _get_axes(ax, dim) for ii, cc in enumerate(coors): if dim == 3: ax.text(cc[0], cc[1], cc[2], ii, color=color, fontsize=fontsize) else: ax.text(cc[0], cc[1], ii, color=color, fontsize=fontsize) if show: plt.show() return ax def label_local_entities(ax, cmesh, edim, color='b', fontsize=10, show=False): """ Label mesh topology entities using cell-local ids. """ coors = cmesh.get_centroids(edim) dim = cmesh.dim centres = cmesh.get_centroids(dim) conn = cmesh.get_conn(dim, edim) off = conn.offsets ax = _get_axes(ax, dim) eps = 0.1 oeps = 1.0 - eps for ii in xrange(conn.num): for ic, ie in enumerate(conn.indices[off[ii]:off[ii+1]]): # Shift labels towards the cell centre. cc = oeps * coors[ie] + eps * centres[ii] if dim == 3: ax.text(cc[0], cc[1], cc[2], ic, color=color, fontsize=fontsize) else: ax.text(cc[0], cc[1], ic, color=color, fontsize=fontsize) if show: plt.show() return ax sfepy-release_2015.1/sfepy/postprocess/plot_dofs.py000066400000000000000000000105561247364230400225210ustar00rootroot00000000000000""" Functions to visualize the mesh connectivity with global and local DOF numberings. """ import numpy as nm import matplotlib.pyplot as plt def _get_axes(ax, dim): if ax is None: fig = plt.figure() if dim == 3: from mpl_toolkits.mplot3d import axes3d axes3d # Make pyflakes happy... ax = fig.add_subplot(111, projection='3d') else: ax = fig.add_subplot(111) return ax def _to2d(coors): if coors.shape[1] == 1: coors = nm.c_[coors, nm.zeros_like(coors)] return coors def plot_points(ax, coors, vals=None, point_size=20, show_colorbar=False, show=False): """ Plot points with given coordinates, optionally colored using `vals` values. """ dim = coors.shape[1] ax = _get_axes(ax, dim) colors = 'b' if vals is None else vals if dim == 3: sc = ax.scatter(coors[:, 0], coors[:, 1], coors[:, 2], s=point_size, c=colors, alpha=1) else: coors = _to2d(coors) sc = ax.scatter(coors[:, 0], coors[:, 1], s=point_size, c=colors) if show_colorbar and (vals is not None): plt.colorbar(sc) if show: plt.show() return ax def plot_mesh(ax, coors, conn, edges, show=False): """ Plot a finite element mesh as a wireframe. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) for el in conn: eds = el[edges] for ed in eds: cc = coors[ed] if dim == 3: ax.plot(cc[:, 0], cc[:, 1], cc[:, 2], 'k') else: ax.plot(cc[:, 0], cc[:, 1], 'k') if show: plt.show() return ax def plot_global_dofs(ax, coors, econn, show=False): """ Plot global DOF numbers given in an extended connectivity. The DOF numbers are plotted for each element, so on common facets they are plotted several times - this can be used to check the consistency of the global DOF connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) for el in econn: for gdof in el: if dim == 3: cx, cy, cz = coors[gdof] ax.text(cx, cy, cz, '%d' % gdof, color='g', fontsize=12, weight='bold') else: cx, cy = coors[gdof] ax.text(cx, cy, '%d' % gdof, color='g', fontsize=12, weight='bold') if show: plt.show() return ax def plot_local_dofs(ax, coors, econn, show=False): """ Plot local DOF numbers corresponding to an extended connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) eps = 0.1 oeps = 1.0 - eps for el in econn: # Element centre. centre = coors[el].sum(0) / el.shape[0] for ldof, gdof in enumerate(el): # Shift labels towards the centre. cc = oeps * coors[gdof] + eps * centre if dim == 3: cx, cy, cz = cc ax.text(cx, cy, cz, '%d' % ldof, color='b', fontsize=10, weight='light') else: cx, cy = cc ax.text(cx, cy, '%d' % ldof, color='b', fontsize=10, weight='light') if show: plt.show() return ax def plot_nodes(ax, coors, econn, ref_nodes, dofs, show=False): """ Plot Lagrange reference element nodes corresponding to global DOF numbers given in an extended connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) eps = 0.2 oeps = 1.0 - eps for el in econn: # Element centre. centre = coors[el].sum(0) / el.shape[0] for gdof in dofs: if not gdof in el: continue ldof = nm.where(el == gdof)[0] node = ref_nodes[ldof] # Shift labels towards the centre. cc = oeps * coors[gdof] + eps * centre if dim == 3: cx, cy, cz = cc ax.text(cx, cy, cz, '%s' % node, color='r', fontsize=8, weight='light') else: cx, cy = cc ax.text(cx, cy, '%d' % node, color='r', fontsize=8, weight='light') if show: plt.show() return ax sfepy-release_2015.1/sfepy/postprocess/plot_facets.py000066400000000000000000000107361247364230400230330ustar00rootroot00000000000000""" Functions to visualize the geometry elements and numbering and orientation of their facets (edges and faces). The standard geometry elements can be plotted by running:: $ python sfepy/postprocess/plot_facets.py """ import numpy as nm import matplotlib.pyplot as plt from sfepy.linalg import (get_perpendiculars, normalize_vectors, make_axis_rotation_matrix) from sfepy.postprocess.plot_dofs import _get_axes, plot_mesh, plot_global_dofs def plot_geometry(ax, gel, show=False): """ Plot a geometry element as a wireframe. """ ax = plot_mesh(ax, gel.coors, [gel.conn], gel.edges, show=False) ax = plot_global_dofs(ax, gel.coors, [gel.conn], show=show) return ax def plot_edges(ax, gel, length, show=False): """ Plot edges of a geometry element as numbered arrows. """ dim = gel.dim ax = _get_axes(ax, dim) l2 = 0.5 * length for ii, edge in enumerate(gel.edges): cc = gel.coors[edge] centre = 0.5 * cc.sum(axis=0) vdir = (cc - centre) normalize_vectors(vdir) cc = l2 * vdir + centre draw_arrow(ax, cc, length=0.3*length, linewidth=3, color='b') if dim == 3: cx, cy, cz = centre ax.text(cx, cy, cz, ii, color='b', fontsize=10, weight='light') else: cx, cy = centre ax.text(cx, cy, ii, color='b', fontsize=10, weight='light') return ax def plot_faces(ax, gel, radius, n_point, show=False): """ Plot faces of a 3D geometry element as numbered oriented arcs. An arc centre corresponds to the first node of a face. It points from the first edge towards the last edge of the face. """ dim = gel.dim ax = _get_axes(ax, dim) if dim < 3: return ax for ii, face in enumerate(gel.faces): cc = gel.coors[face] t1 = cc[1, :] - cc[0, :] t2 = cc[-1, :] - cc[0, :] n = nm.cross(t1, t2) nt1 = nm.linalg.norm(t1) nt2 = nm.linalg.norm(t2) angle = nm.arccos(nm.dot(t1, t2) / (nt1 * nt2)) da = angle / (n_point - 1) mtx = make_axis_rotation_matrix(n, da) rt = cc[0] + radius * t1 / nt1 coors = [rt] for ip in range(n_point - 1): rt = nm.dot(mtx.T, (rt - cc[0])) + cc[0] coors.append(rt) coors = nm.array(coors, dtype=nm.float64) centre = coors.sum(axis=0) / coors.shape[0] draw_arrow(ax, coors, length=0.3*radius, linewidth=3, color='r') if dim == 3: cx, cy, cz = centre ax.text(cx, cy, cz, ii, color='r', fontsize=10, weight='light') else: cx, cy = centre ax.text(cx, cy, ii, color='r', fontsize=10, weight='light') return ax def draw_arrow(ax, coors, angle=20.0, length=0.3, **kwargs): """ Draw a line ended with an arrow head, in 2D or 3D. """ color = kwargs.get('color', 'b') c0 = coors[-2] c1 = coors[-1] vd = c1 - c0 nvd = nm.linalg.norm(vd) vd /= nvd c0 = c1 - length * vd ps = get_perpendiculars(vd) rangle = nm.deg2rad(min(angle, 60.0)) plength = length * nm.arctan(rangle) if coors.shape[1] == 2: from matplotlib.patches import Polygon cx, cy = coors[:, 0], coors[:, 1] ax.plot(cx, cy, **kwargs) p0 = c0 + plength * ps p1 = c0 - plength * ps pol = Polygon([p0, p1, c1], color=color) ax.add_artist(pol) else: import mpl_toolkits.mplot3d as plt3 cx, cy, cz = coors[:, 0], coors[:, 1], coors[:, 2] ax.plot(cx, cy, cz, **kwargs) p00 = c0 + plength * ps[0] p01 = c0 - plength * ps[0] p10 = c0 + plength * ps[1] p11 = c0 - plength * ps[1] arr = plt3.art3d.Poly3DCollection([[p00, p01, c1], [p10, p11, c1]], color=color) ax.add_collection3d(arr) if __name__ == '__main__': from sfepy.discrete.fem.geometry_element import GeometryElement, geometry_data for key, gd in geometry_data.iteritems(): if key == '1_2' : continue gel = GeometryElement(key) ax = plot_geometry(None, gel) ax = plot_edges(ax, gel, length=0.2) ax = plot_faces(ax, gel, radius=0.3, n_point=5) dd = 0.05 ax.set_xlim([-dd, 1.0 + dd]) ax.set_ylim([-dd, 1.0 + dd]) if gel.dim == 3: ax.set_zlim([-dd, 1.0 + dd]) plt.show() sfepy-release_2015.1/sfepy/postprocess/plot_quadrature.py000066400000000000000000000045111247364230400237350ustar00rootroot00000000000000""" Functions to visualize quadrature points in reference elements. """ import matplotlib.pyplot as plt from sfepy.base.base import output from sfepy.postprocess.plot_dofs import _get_axes from sfepy.postprocess.plot_facets import plot_geometry def _get_qp(geometry, order): from sfepy.discrete import Integral from sfepy.discrete.fem.geometry_element import GeometryElement aux = Integral('aux', order=order) coors, weights = aux.get_qp(geometry) true_order = aux.qps[geometry].order output('geometry:', geometry, 'order:', order, 'num. points:', coors.shape[0], 'true_order:', true_order) output('min. weight:', weights.min()) output('max. weight:', weights.max()) return GeometryElement(geometry), coors, weights def plot_weighted_points(ax, coors, weights, min_radius=10, max_radius=50, show_colorbar=False, show=False): """ Plot points with given coordinates as circles/spheres with radii given by weights. """ dim = coors.shape[1] ax = _get_axes(ax, dim) wmin, wmax = weights.min(), weights.max() if (wmax - wmin) < 1e-12: nweights = weights * max_radius / wmax else: nweights = ((weights - wmin) * (max_radius - min_radius) / (wmax - wmin) + min_radius) if dim == 3: sc = ax.scatter(coors[:, 0], coors[:, 1], coors[:, 2], s=nweights, c=weights, alpha=1) else: sc = ax.scatter(coors[:, 0], coors[:, 1], s=nweights, c=weights, alpha=1) if show_colorbar: plt.colorbar(sc) if show: plt.show() return ax def plot_quadrature(ax, geometry, order, min_radius=10, max_radius=50, show_colorbar=False, show=False): """ Plot quadrature points for the given geometry and integration order. The points are plotted as circles/spheres with radii given by quadrature weights - the weights are mapped to [`min_radius`, `max_radius`] interval. """ gel, coors, weights = _get_qp(geometry, order) dim = coors.shape[1] ax = _get_axes(ax, dim) plot_geometry(ax, gel, show=False) plot_weighted_points(ax, coors, weights, min_radius=min_radius, max_radius=max_radius, show_colorbar=show_colorbar, show=show) return ax sfepy-release_2015.1/sfepy/postprocess/probes_vtk.py000066400000000000000000000205471247364230400227070ustar00rootroot00000000000000"""Classes for probing values of Variables, for example, along a line, using PyVTK library""" import numpy as nm import vtk from vtk.util import numpy_support as vtknm import os.path as osp from sfepy.base.base import Struct, output from sfepy.linalg import make_axis_rotation_matrix from sfepy.postprocess.utils_vtk import get_vtk_from_mesh vtk_version = vtk.vtkVersion().GetVTKMajorVersion() class Probe(Struct): """ Probe class. """ def __init__(self, data, mesh, **kwargs): """ Parameters ---------- data : dict The output dictionary. mesh : Mesh The mesh. """ Struct.__init__(self, name=mesh.name, **kwargs) self.mesh_name = mesh.name[mesh.name.rfind(osp.sep) + 1:] self.vtkdata = get_vtk_from_mesh(mesh, data, 'probe_') self.vtkprobe = vtk.vtkProbeFilter() self.vtkprobe.SetSource(self.vtkdata) self.probes = {} self.probes_png = {} def new_vtk_polyline(self, points, closed=False): """ Create the VTKPolyData object and store the line data. Parameters ---------- points : array The line points. Returns ------- vtkpd : VTK object VTKPolyData with the polyline. """ npts = points.shape[0] pts = vtk.vtkPoints() pts.SetNumberOfPoints(npts) for ii in range(npts): pts.SetPoint(ii, points[ii,:]) nlns = npts if closed: nlns += 1 lns = vtk.vtkCellArray() lns.InsertNextCell(nlns) for ii in range(npts): lns.InsertCellPoint(ii) if closed: lns.InsertCellPoint(0) vtkpd = vtk.vtkPolyData() vtkpd.SetPoints(pts) vtkpd.SetLines(lns) vtkpd.Update() return vtkpd def add_line_probe(self, name, p0, p1, n_point): """ Create the line probe - VTK object. Parameters ---------- name : str The probe name. p0 : array_like The coordinates of the start point. p1 : array_like The coordinates of the end point. n_point : int The number of probe points. """ line = vtk.vtkLineSource() line.SetPoint1(p0) line.SetPoint2(p1) line.SetResolution(n_point) line.Update() pars = nm.arange(n_point + 1) / nm.float(n_point) self.probes[name] = (line, pars) self.probes_png[name] = False def add_ray_probe(self, name, p0, dirvec, p_fun, n_point): """ Create the ray (line) probe - VTK object. Parameters ---------- name : str The probe name. p0 : array The coordinates of the start point. dirvec : array The probe direction vector. p_fun : function The function returning the probe parametrization along the dirvec direction. n_point : int The number of probe points. """ p0 = nm.array(p0, dtype=nm.float64) dirvec = nm.array(dirvec, dtype=nm.float64) dirvec /= nm.linalg.norm(dirvec) pars = p_fun(nm.arange(n_point, dtype=nm.float64)) points = p0 + dirvec * pars[:,None] ray = self.new_vtk_polyline(points) self.probes[name] = (ray, pars) self.probes_png[name] = False def add_circle_probe(self, name, centre, normal, radius, n_point): """ Create the ray (line) probe - VTK object. Parameters ---------- name : str The probe name. centre : array The coordinates of the circle center point. normal : array The normal vector perpendicular to the circle plane. radius : float The radius of the circle. n_point : int The number of probe points. """ pars = nm.linspace(0.0, 2.0*nm.pi, n_point + 1)[:-1] # Create the points in xy plane, centered at the origin. x = radius * nm.cos(pars[:,None]) y = radius * nm.sin(pars[:,None]) if len(centre) == 3: z = nm.zeros((n_point, 1), dtype=nm.float64) points = nm.c_[x, y, z] # Rotate to satisfy the normal, shift to the centre. n1 = nm.array([0.0, 0.0, 1.0], dtype=nm.float64) axis = nm.cross(n1, normal) angle = nm.arccos(nm.dot(n1, normal)) if nm.linalg.norm(axis) < 0.1: # n1 == self.normal rot_mtx = nm.eye(3, dtype=nm.float64) else: rot_mtx = make_axis_rotation_matrix(axis, angle) points = nm.dot(points, rot_mtx) else: points = nm.c_[x, y] points += centre circle = self.new_vtk_polyline(points, closed=True) self.probes[name] = (circle, pars) self.probes_png[name] = False def gen_mesh_probe_png(self, probe, png_filename): """ Generate PNG image of the FE mesh. Parameters ---------- probe : VTK objectstr The probe, VTKPolyData or VTKSource. png_filename : str The name of the output PNG file. """ surface = vtk.vtkDataSetSurfaceFilter() if vtk_version < 6: surface.SetInput(self.vtkdata) else: surface.SetInputData(self.vtkdata) surface.Update() gf = vtk.vtkGraphicsFactory() gf.SetOffScreenOnlyMode(1) gf.SetUseMesaClasses(1) ifa = vtk.vtkImagingFactory() ifa.SetUseMesaClasses(1) mapper = vtk.vtkPolyDataMapper() if vtk_version < 6: mapper.SetInput(surface.GetOutput()) else: mapper.SetInputData(surface.GetOutput()) mapper.SetScalarModeToUseCellData() actor = vtk.vtkActor() actor.SetMapper(mapper) actor.GetProperty().SetOpacity(0.33) mapper2 = vtk.vtkPolyDataMapper() if hasattr(probe, 'GetOutput'): probe0 = probe.GetOutput() else: probe0 = probe if vtk_version < 6: mapper2.SetInput(probe0) else: mapper2.SetInputData(probe0) actor2 = vtk.vtkActor() actor2.SetMapper(mapper2) actor2.GetProperty().SetColor(0,0,0) actor2.GetProperty().SetLineWidth(2) ren = vtk.vtkRenderer() renWin = vtk.vtkRenderWindow() renWin.SetOffScreenRendering(1) renWin.AddRenderer(ren) ren.AddActor(actor) ren.AddActor(actor2) ren.SetBackground(1, 1, 1) renWin.Render() image = vtk.vtkWindowToImageFilter() image.SetInput(renWin) image.Update() writer = vtk.vtkPNGWriter() writer.SetFileName(png_filename) if vtk_version < 6: writer.SetInput(image.GetOutput()) else: writer.SetInputData(image.GetOutput()) writer.Write() def __call__(self, probe_name, variable, probe_view=False): """ Do the probe for the given variable. Parameters ---------- probe_name : str The name of previously defined probe. variable : str The variable to be probed. Returns ------- params : array The parametrization of the probe points. values : array The probe values in the points. """ inp = self.probes[probe_name][0] params = self.probes[probe_name][1] if hasattr(inp, 'GetOutputPort'): self.vtkprobe.SetInputConnection(inp.GetOutputPort()) else: if vtk_version < 6: self.vtkprobe.SetInput(inp) else: self.vtkprobe.SetInputData(inp) self.vtkprobe.Update() pdata = self.vtkprobe.GetOutput() values = vtknm.vtk_to_numpy(pdata.GetPointData().GetArray(variable)) output('probing data') output(' probe name: %s' % probe_name) output(' variable: %s' % variable) output(' points: %s' % params.shape[0]) if probe_view and not(self.probes_png[probe_name]): pngname = 'probe_%s_%s.png' % (self.mesh_name, probe_name) self.gen_mesh_probe_png(inp, pngname) self.probes_png[probe_name] = True return params, values sfepy-release_2015.1/sfepy/postprocess/setup.py000066400000000000000000000006771247364230400216730ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/postprocess/sources.py000066400000000000000000000304011247364230400222020ustar00rootroot00000000000000import os import numpy as nm try: from enthought.tvtk.api import tvtk from enthought.mayavi.sources.vtk_data_source import VTKDataSource from enthought.pyface.timer.api import Timer except: from tvtk.api import tvtk from mayavi.sources.vtk_data_source import VTKDataSource from pyface.timer.api import Timer from dataset_manager import DatasetManager from sfepy.base.base import Struct, basestr from sfepy.postprocess.utils import mlab from sfepy.discrete.fem import Mesh from sfepy.discrete.fem.meshio import MeshIO, vtk_cell_types, supported_formats def create_file_source(filename, watch=False, offscreen=True): """Factory function to create a file source corresponding to the given file format.""" kwargs = {'watch' : watch, 'offscreen' : offscreen} if isinstance(filename, basestr): fmt = os.path.splitext(filename)[1] is_sequence = False else: # A sequence. fmt = os.path.splitext(filename[0])[1] is_sequence = True fmt = fmt.lower() if fmt == '.vtk': # VTK is supported directly by Mayavi, no need to use MeshIO. if is_sequence: return VTKSequenceFileSource(filename, **kwargs) else: return VTKFileSource(filename, **kwargs) elif fmt in supported_formats.keys(): if is_sequence: if fmt == '.h5': raise ValueError('format .h5 does not support file sequences!') else: return GenericSequenceFileSource(filename, **kwargs) else: return GenericFileSource(filename, **kwargs) else: raise ValueError('unknown file format! (%s)' % fmt) class FileSource(Struct): """General file source.""" def __init__(self, filename, watch=False, offscreen=True): """Create a file source using the given file name.""" mlab.options.offscreen = offscreen self.watch = watch self.filename = filename self.reset() def __call__(self, step=0): """Get the file source.""" if self.source is None: self.source = self.create_source() if self.watch: self.timer = Timer(1000, self.poll_file) return self.source def reset(self): """Reset.""" self.mat_id_name = None self.source = None self.notify_obj = None self.steps = [] self.times = [] self.step = 0 self.time = 0.0 if self.watch: self.last_stat = os.stat(self.filename) def setup_mat_id(self, mat_id_name='mat_id', single_color=False): self.mat_id_name = mat_id_name self.single_color = single_color def get_step_time(self, step=None, time=None): """ Set current step and time to the values closest greater or equal to either step or time. Return the found values. """ if (step is not None) and len(self.steps): step = step if step >= 0 else self.steps[-1] + step + 1 ii = nm.searchsorted(self.steps, step) ii = nm.clip(ii, 0, len(self.steps) - 1) self.step = self.steps[ii] if len(self.times): self.time = self.times[ii] elif (time is not None) and len(self.times): ii = nm.searchsorted(self.times, time) ii = nm.clip(ii, 0, len(self.steps) - 1) self.step = self.steps[ii] self.time = self.times[ii] return self.step, self.time def get_ts_info(self): return self.steps, self.times def get_mat_id(self, mat_id_name='mat_id'): """ Get material ID numbers of the underlying mesh elements. """ if self.source is not None: dm = DatasetManager(dataset=self.source.outputs[0]) mat_id = dm.cell_scalars[mat_id_name] return mat_id def file_changed(self): pass def setup_notification(self, obj, attr): """The attribute 'attr' of the object 'obj' will be set to True when the source file is watched and changes.""" self.notify_obj = obj self.notify_attr = attr def poll_file(self): """Check the source file's time stamp and notify the self.notify_obj in case it changed. Subclasses should implement the file_changed() method.""" if not self.notify_obj: return s = os.stat(self.filename) if s[-2] == self.last_stat[-2]: setattr(self.notify_obj, self.notify_attr, False) else: self.file_changed() setattr(self.notify_obj, self.notify_attr, True) self.last_stat = s class VTKFileSource(FileSource): """A thin wrapper around mlab.pipeline.open().""" def create_source(self): """Create a VTK file source """ return mlab.pipeline.open(self.filename) def get_bounding_box(self): bbox = nm.array(self.source.reader.unstructured_grid_output.bounds) return bbox.reshape((3,2)).T def set_filename(self, filename, vis_source): self.filename = filename vis_source.base_file_name = filename # Force re-read. vis_source.reader.modified() vis_source.update() # Propagate changes in the pipeline. vis_source.data_changed = True class VTKSequenceFileSource(VTKFileSource): """A thin wrapper around mlab.pipeline.open() for VTK file sequences.""" def __init__(self, *args, **kwargs): FileSource.__init__(self, *args, **kwargs) self.steps = nm.arange(len(self.filename), dtype=nm.int32) def create_source(self): """Create a VTK file source """ return mlab.pipeline.open(self.filename[0]) def set_filename(self, filename, vis_source): self.filename = filename vis_source.base_file_name = filename[self.step] class GenericFileSource(FileSource): """File source usable with any format supported by MeshIO classes.""" def __init__(self, *args, **kwargs): FileSource.__init__(self, *args, **kwargs) self.read_common(self.filename) def read_common(self, filename): self.io = MeshIO.any_from_filename(filename) self.steps, self.times, _ = self.io.read_times() self.mesh = Mesh.from_file(filename) self.n_nod, self.dim = self.mesh.coors.shape def create_source(self): """ Create a VTK source from data in a SfePy-supported file. Notes ----- All data need to be set here, otherwise time stepping will not work properly - data added by user later will be thrown away on time step change. """ if self.io is None: self.read_common(self.filename) dataset = self.create_dataset() try: out = self.io.read_data(self.step) except ValueError: out = None if out is not None: self.add_data_to_dataset(dataset, out) if self.mat_id_name is not None: mat_id = nm.concatenate(self.mesh.mat_ids) if self.single_color: rm = mat_id.min(), mat_id.max() mat_id[mat_id > rm[0]] = rm[1] dm = DatasetManager(dataset=dataset) dm.add_array(mat_id, self.mat_id_name, 'cell') src = VTKDataSource(data=dataset) # src.print_traits() # debug() return src def get_bounding_box(self): bbox = self.mesh.get_bounding_box() if self.dim < 3: bbox = nm.c_[bbox, nm.zeros((2, 3 - self.dim))] return bbox def set_filename(self, filename, vis_source): self.filename = filename self.source = self.create_source() vis_source.data = self.source.data def get_mat_id(self, mat_id_name='mat_id'): """ Get material ID numbers of the underlying mesh elements. """ if self.source is not None: mat_id = nm.concatenate(self.mesh.mat_ids) return mat_id def file_changed(self): self.steps, self.times, _ = self.io.read_times() def create_dataset(self): """Create a tvtk.UnstructuredGrid dataset from the Mesh instance of the file source.""" mesh = self.mesh n_nod, dim = self.n_nod, self.dim n_el, n_els, n_e_ps = mesh.n_el, mesh.n_els, mesh.n_e_ps if dim < 3: nod_zz = nm.zeros((n_nod, 3 - dim), dtype=mesh.coors.dtype) points = nm.c_[mesh.coors, nod_zz] else: points = mesh.coors dataset = tvtk.UnstructuredGrid(points=points) cell_types = [] cells = [] offset = [0] for ig, conn in enumerate(mesh.conns): cell_types += [vtk_cell_types[mesh.descs[ig]]] * n_els[ig] nn = nm.array([conn.shape[1]] * n_els[ig]) aux = nm.c_[nn[:,None], conn] cells.extend(aux.ravel()) offset.extend([aux.shape[1]] * n_els[ig]) cells = nm.array(cells) cell_types = nm.array(cell_types) offset = nm.cumsum(offset)[:-1] cell_array = tvtk.CellArray() cell_array.set_cells(n_el, cells) dataset.set_cells(cell_types, offset, cell_array) return dataset def add_data_to_dataset(self, dataset, data): """Add point and cell data to the dataset.""" dim = self.dim sym = (dim + 1) * dim / 2 dm = DatasetManager(dataset=dataset) for key, val in data.iteritems(): vd = val.data ## print vd.shape if val.mode == 'vertex': if vd.shape[1] == 1: aux = vd.reshape((vd.shape[0],)) elif vd.shape[1] == 2: zz = nm.zeros((vd.shape[0], 1), dtype=vd.dtype) aux = nm.c_[vd, zz] elif vd.shape[1] == 3: aux = vd else: raise ValueError('unknown vertex data format! (%s)'\ % vd.shape) dm.add_array(aux, key, 'point') elif val.mode == 'cell': ne, aux, nr, nc = vd.shape if (nr == 1) and (nc == 1): aux = vd.reshape((ne,)) elif (nr == dim) and (nc == 1): if dim == 3: aux = vd.reshape((ne, dim)) else: zz = nm.zeros((vd.shape[0], 1), dtype=vd.dtype); aux = nm.c_[vd.squeeze(), zz] elif (((nr == sym) or (nr == (dim * dim))) and (nc == 1)) \ or ((nr == dim) and (nc == dim)): vd = vd.squeeze() if dim == 3: if nr == sym: aux = vd[:,[0,3,4,3,1,5,4,5,2]] elif nr == (dim * dim): aux = vd[:,[0,3,4,6,1,5,7,8,2]] else: aux = vd.reshape((vd.shape[0], dim*dim)) else: zz = nm.zeros((vd.shape[0], 1), dtype=vd.dtype); if nr == sym: aux = nm.c_[vd[:,[0,2]], zz, vd[:,[2,1]], zz, zz, zz, zz] elif nr == (dim * dim): aux = nm.c_[vd[:,[0,2]], zz, vd[:,[3,1]], zz, zz, zz, zz] else: aux = nm.c_[vd[:,0,[0,1]], zz, vd[:,1,[0,1]], zz, zz, zz, zz] dm.add_array(aux, key, 'cell') class GenericSequenceFileSource(GenericFileSource): """File source usable with any format supported by MeshIO classes, with exception of HDF5 (.h5), for file sequences.""" def read_common(self, filename): self.steps = nm.arange(len(self.filename), dtype=nm.int32) def create_source(self): """Create a VTK source from data in a SfePy-supported file.""" if self.io is None: self.read_common(self.filename[self.step]) dataset = self.create_dataset() src = VTKDataSource(data=dataset) return src def set_filename(self, filename, vis_source): self.filename = filename self.io = None self.source = self.create_source() vis_source.data = self.source.data sfepy-release_2015.1/sfepy/postprocess/time_history.py000066400000000000000000000172211247364230400232430ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, OneTypeList, Struct from sfepy.discrete.fem.mesh import Mesh from sfepy.discrete.fem.meshio import MeshIO from sfepy.solvers.ts import TimeStepper from sfepy.base.ioutils import get_trunk, write_dict_hdf5 def _linearize(out, fields, linearization): new = {} for key, val in out.iteritems(): field = fields[val.field_name] new.update(field.create_output(val.data, var_name=key, dof_names=val.dofs, key=key, linearization=linearization)) return new def dump_to_vtk(filename, output_filename_trunk=None, step0=0, steps=None, fields=None, linearization=None): """Dump a multi-time-step results file into a sequence of VTK files.""" def _save_step(suffix, out, mesh): if linearization is not None: output('linearizing...') out = _linearize(out, fields, linearization) output('...done') for key, val in out.iteritems(): lmesh = val.get('mesh', mesh) lmesh.write(output_filename_trunk + '_' + key + suffix, io='auto', out={key : val}) if hasattr(val, 'levels'): output('max. refinement per group:', val.levels) else: mesh.write(output_filename_trunk + suffix, io='auto', out=out) output('dumping to VTK...') io = MeshIO.any_from_filename(filename) mesh = Mesh.from_file(filename, io=io) if output_filename_trunk is None: output_filename_trunk = get_trunk(filename) try: ts = TimeStepper(*io.read_time_stepper()) all_steps, times, nts, dts = extract_times(filename) except ValueError: output('no time stepping info found, assuming single step') out = io.read_data(0) if out is not None: _save_step('.vtk', out, mesh) ret = None else: ts.times = times ts.n_step = times.shape[0] if steps is None: ii0 = nm.searchsorted(all_steps, step0) iterator = ((all_steps[ii], times[ii]) for ii in xrange(ii0, len(times))) else: iterator = [(step, ts.times[step]) for step in steps] max_step = all_steps.max() for step, time in iterator: output(ts.format % (step, max_step)) out = io.read_data(step) if out is None: break _save_step('.' + ts.suffix % step + '.vtk', out, mesh) ret = ts.suffix output('...done') return ret def extract_times(filename): """ Read true time step data from individual time steps. Returns ------- steps : array The time steps. times : array The times of the time steps. nts : array The normalized times of the time steps, in [0, 1]. dts : array The true time deltas. """ io = MeshIO.any_from_filename(filename) steps, times, nts = io.read_times() dts = nm.ediff1d(times, to_end=0) return steps, times, nts, dts def extract_time_history(filename, extract, verbose=True): """Extract time history of a variable from a multi-time-step results file. Parameters ---------- filename : str The name of file to extract from. extract : str The description of what to extract in a string of comma-separated description items. A description item consists of: name of the variable to extract, mode ('e' for elements, 'n' for nodes), ids of the nodes or elements (given by the mode). Example: 'u n 10 15, p e 0' means variable 'u' in nodes 10, 15 and variable 'p' in element 0. verbose : bool Verbosity control. Returns ------- ths : dict The time histories in a dict with variable names as keys. If a nodal variable is requested in elements, its value is a dict of histories in the element nodes. ts : TimeStepper instance The time stepping information. """ output('extracting selected data...', verbose=verbose) output('selection:', extract, verbose=verbose) ## # Parse extractions. pes = OneTypeList(Struct) for chunk in extract.split(','): aux = chunk.strip().split() pes.append(Struct(var = aux[0], mode = aux[1], indx = map(int, aux[2:]), igs = None)) ## # Verify array limits, set igs for element data, shift indx. mesh = Mesh.from_file(filename) n_el, n_els, offs = mesh.n_el, mesh.n_els, mesh.el_offsets for pe in pes: if pe.mode == 'n': for ii in pe.indx: if (ii < 0) or (ii >= mesh.n_nod): raise ValueError('node index 0 <= %d < %d!' % (ii, mesh.n_nod)) if pe.mode == 'e': pe.igs = [] for ii, ie in enumerate(pe.indx[:]): if (ie < 0) or (ie >= n_el): raise ValueError('element index 0 <= %d < %d!' % (ie, n_el)) ig = (ie < n_els).argmax() pe.igs.append(ig) pe.indx[ii] = ie - offs[ig] ## print pes ## # Extract data. # Assumes only one element group (ignores igs)! io = MeshIO.any_from_filename(filename) ths = {} for pe in pes: mode, nname = io.read_data_header(pe.var) output(mode, nname, verbose=verbose) if ((pe.mode == 'n' and mode == 'vertex') or (pe.mode == 'e' and mode == 'cell')): th = io.read_time_history(nname, pe.indx) elif pe.mode == 'e' and mode == 'vertex': conn = mesh.conns[0] th = {} for iel in pe.indx: ips = conn[iel] th[iel] = io.read_time_history(nname, ips) else: raise ValueError('cannot extract cell data %s in nodes!' % pe.var) ths[pe.var] = th output('...done', verbose=verbose) ts = TimeStepper(*io.read_time_stepper()) return ths, ts def average_vertex_var_in_cells(ths_in): """Average histories in the element nodes for each nodal variable originally requested in elements.""" ths = dict.fromkeys(ths_in.keys()) for var, th in ths_in.iteritems(): aux = dict.fromkeys(th.keys()) for ir, data in th.iteritems(): if isinstance(data, dict): for ic, ndata in data.iteritems(): if aux[ir] is None: aux[ir] = ndata else: aux[ir] += ndata aux[ir] /= float(len(data)) else: aux[ir] = data ths[var] = aux return ths def save_time_history(ths, ts, filename_out): """Save time history and time-stepping information in a HDF5 file.""" ths.update({'times' : ts.times, 'dt' : ts.dt}) write_dict_hdf5(filename_out, ths) def guess_time_units(times): """ Given a vector of times in seconds, return suitable time units and new vector of times suitable for plotting. Parameters ---------- times : array The vector of times in seconds. Returns ------- new_times : array The vector of times in `units`. units : str The time units. """ times = nm.asarray(times) if (times[-1] / 60.0 / 60.0) > 10.0: units = 'hours' new_times = times / 60.0 / 60.0 elif (times[-1] / 60.0) > 10.0: units = 'min.' new_times = times / 60.0 else: units = 's' new_times = times return new_times, units sfepy-release_2015.1/sfepy/postprocess/utils.py000066400000000000000000000046021247364230400216630ustar00rootroot00000000000000import numpy as np try: import enthought.mayavi as mayavi except ImportError: try: import mayavi except ImportError: mayavi = None if mayavi: from mayavi import mlab from mayavi.core.source import Source from mayavi.core.filter import Filter import dataset_manager from sfepy.base.base import basestr def get_data_ranges(obj, return_only=False, use_names=None, filter_names=None): """Collect and print information on ranges of data in a dataset. Parameters ---------- obj : a mayavi pipeline object The object to probe for data. return_only : boolean If True, do not print the information, just return it to the caller. use_names : list of strings Consider only data with names in the list. filter_names : list of strings Consider only data with names not in the list. Returns ------- ranges : dict The requested data ranges. """ if isinstance(obj, basestr): mlab.options.offscreen = True scene = mlab.figure(bgcolor=(1,1,1), fgcolor=(0, 0, 0), size=(1, 1)) obj = mlab.pipeline.open(obj) if filter_names is None: filter_names = [] source = obj while not (isinstance(source, Source) and not isinstance(source, Filter)): source = source.parent dm = dataset_manager.DatasetManager(dataset=source.outputs[0]) ranges = {} for attr in ['point_scalars', 'point_vectors', 'point_tensors', 'cell_scalars', 'cell_vectors', 'cell_tensors']: family, kind = attr.split('_') data = getattr(dm, attr) if use_names is None: names = data.keys() else: names = use_names if not return_only and (set(data.keys()).intersection(names)): print family, kind for key, arr in data.iteritems(): if (key in filter_names) or (key not in names): continue shape = arr.shape if arr.ndim == 1: arr = arr[:,np.newaxis] norm = np.sqrt(np.sum(arr*arr, axis=1)) ranges[key] = (family, kind, shape, np.min(arr), np.max(arr), np.min(norm), np.max(norm)) if not return_only: aux = (key,) + ranges[key][2:] print '"%s" %s range: %s %s l2 norm range: %s %s' % aux return ranges sfepy-release_2015.1/sfepy/postprocess/utils_vtk.py000066400000000000000000000072711247364230400225540ustar00rootroot00000000000000"""Postprocessing utils based on VTK library""" import vtk import os import tempfile vtk_version = vtk.vtkVersion().GetVTKMajorVersion() def get_vtk_from_file(filename): """ Read VTK file. Parameters ---------- filename : str Name of the VTK file. Returns ------- vtkdata : VTK object Mesh, scalar, vector and tensor data. """ reader = vtk.vtkUnstructuredGridReader() reader.SetFileName(filename) reader.ReadAllScalarsOn() reader.ReadAllVectorsOn() reader.ReadAllTensorsOn() reader.Update() return reader.GetOutput() def write_vtk_to_file(filename, vtkdata): """ Write VTK file. Parameters ---------- filename : str Name of the VTK file. vtkdata : VTK object Mesh, scalar, vector and tensor data. """ writer = vtk.vtkGenericDataObjectWriter() writer.SetFileName(filename) if vtk_version < 6: writer.SetInput(vtkdata) else: writer.SetInputData(vtkdata) writer.Update() def get_vtk_from_mesh(mesh, data, prefix=''): mesh_name = mesh.name[mesh.name.rfind(os.path.sep) + 1:] tmpdir = tempfile.gettempdir() vtkname = os.path.join(tmpdir, '%s%s.vtk' % (prefix, mesh_name)) mesh.write(vtkname, io='auto', out=data) vtkdata = get_vtk_from_file(vtkname) os.remove(vtkname) return vtkdata def get_vtk_surface(vtkdata): """ Get mesh surface. Parameters ---------- vtkdata : VTK object Mesh, scalar, vector and tensor data. Returns ------- surface : VTK object Mesh, scalar, vector and tensor data. """ surface = vtk.vtkDataSetSurfaceFilter() if vtk_version < 6: surface.SetInput(vtkdata) else: surface.SetInputData(vtkdata) surface.Update() return surface.GetOutput() def get_vtk_edges(vtkdata): """ Get mesh edges. Parameters ---------- vtkdata : VTK object Mesh, scalar, vector and tensor data. Returns ------- edges : VTK object Mesh, scalar, vector and tensor data. """ edges = vtk.vtkExtractEdges() if vtk_version < 6: edges.SetInput(vtkdata) else: edges.SetInputData(vtkdata) edges.Update() return edges.GetOutput() def get_vtk_by_group(vtkdata, group_lower, group_upper=None): """ Get submesh by material group id. Parameters ---------- vtkdata : VTK object Mesh, scalar, vector and tensor data. group_lower : int The lower material id. group_lower : int The Upper material id. Returns ------- slection : VTK object Mesh, scalar, vector and tensor data. """ selection = vtk.vtkThreshold() if vtk_version < 6: selection.SetInput(vtkdata) else: selection.SetInputData(vtkdata) selection.SetInputArrayToProcess(0, 0, 0, vtk.vtkDataObject.FIELD_ASSOCIATION_CELLS, "mat_id") if group_upper is None: group_upper = group_lower selection.ThresholdBetween(group_lower, group_upper) selection.Update() return selection.GetOutput() def tetrahedralize_vtk_mesh(vtkdata): """ 3D cells are converted to tetrahedral meshes, 2D cells to triangles. Parameters ---------- vtkdata : VTK object Mesh, scalar, vector and tensor data. Returns ------- tetra : VTK object Mesh, scalar, vector and tensor data. """ tetra = vtk.vtkDataSetTriangleFilter() if vtk_version < 6: tetra.SetInput(vtkdata) else: tetra.SetInputData(vtkdata) tetra.SetInput(vtkdata) tetra.Update() return tetra.GetOutput() sfepy-release_2015.1/sfepy/postprocess/viewer.py000066400000000000000000001342641247364230400220340ustar00rootroot00000000000000import os import shutil, tempfile import numpy as nm try: from enthought.traits.api \ import HasTraits, Instance, Button, Int, Float, Bool, on_trait_change from enthought.traits.ui.api \ import View, Item, Heading, Group, HGroup, VGroup, Handler, spring from enthought.traits.ui.editors.range_editor import RangeEditor from enthought.tvtk.pyface.scene_editor import SceneEditor from enthought.mayavi.tools.mlab_scene_model import MlabSceneModel from enthought.mayavi.core.ui.mayavi_scene import MayaviScene except ImportError: from traits.api \ import HasTraits, Instance, Button, Int, Float, Bool, on_trait_change from traitsui.api \ import View, Item, Heading, Group, HGroup, VGroup, Handler, spring from traitsui.editors.range_editor import RangeEditor from tvtk.pyface.scene_editor import SceneEditor from mayavi.tools.mlab_scene_model import MlabSceneModel from mayavi.core.ui.mayavi_scene import MayaviScene from dataset_manager import DatasetManager from sfepy.base.base import (insert_as_static_method, output, assert_, get_arguments, get_default, Struct, basestr) from sfepy.base.ioutils import ensure_path from sfepy.linalg import cycle from sfepy.solvers.ts import get_print_info from sfepy.postprocess.utils import mlab, get_data_ranges from sfepy.postprocess.sources import create_file_source, FileSource def get_glyphs_scale_factor(rng, rel_scaling, bbox): delta = rng[1] - rng[0] dx = nm.max((bbox[1,:] - bbox[0,:])) if rel_scaling is None: rel_scaling = 0.02 # -> delta fits 50x into dx. return rel_scaling * dx / delta def add_surf(obj, position, opacity=1.0): surf = mlab.pipeline.surface(obj, opacity=opacity) surf.actor.actor.position = position return surf def add_scalar_cut_plane(obj, position, normal, opacity=1.0): scp = mlab.pipeline.scalar_cut_plane(obj, opacity=opacity) scp.actor.actor.position = position scp.implicit_plane.visible = False scp.implicit_plane.normal = normal return scp def add_vector_cut_plane(obj, position, normal, bbox, rel_scaling=None, scale_factor='auto', clamping=False, opacity=1.0): vcp = mlab.pipeline.vector_cut_plane(obj, opacity=opacity) if scale_factor == 'auto': rng = vcp.glyph.glyph.range scale_factor = get_glyphs_scale_factor(rng, rel_scaling, bbox) vcp.glyph.color_mode = 'color_by_vector' vcp.glyph.scale_mode = 'scale_by_vector' vcp.glyph.glyph.clamping = clamping vcp.glyph.glyph.scale_factor = scale_factor vcp.glyph.glyph_source.glyph_position = 'tail' vcp.actor.actor.position = position vcp.implicit_plane.normal = normal vcp.implicit_plane.widget.enabled = False return vcp def add_iso_surface(obj, position, contours=10, opacity=1.0): obj = mlab.pipeline.iso_surface(obj, contours=contours, opacity=opacity) obj.actor.actor.position = position return obj def add_subdomains_surface(obj, position, mat_id_name='mat_id', threshold_limits=(None, None), **kwargs): dm = DatasetManager(dataset=obj.outputs[0]) mat_id = dm.cell_scalars[mat_id_name] rm = mat_id.min(), mat_id.max() active = mlab.pipeline.set_active_attribute(obj) active.cell_scalars_name = mat_id_name aa = mlab.pipeline.set_active_attribute(obj) aa.cell_scalars_name = mat_id_name threshold = mlab.pipeline.threshold(aa) threshold.threshold_filter.progress = 1.0 if threshold_limits[0] is not None: threshold.lower_threshold = threshold_limits[0] + 0.1 if threshold_limits[1] is not None: threshold.upper_threshold = threshold_limits[1] - 0.1 threshold.auto_reset_lower = False threshold.auto_reset_upper = False surface = mlab.pipeline.surface(threshold, opacity=0.3) surface.actor.actor.position = position module_manager = surface.parent lm = module_manager.scalar_lut_manager lm.lut_mode = 'Blues' if (rm[1] - rm[0]) == 1: lm.reverse_lut = True surface2 = mlab.pipeline.surface(active, opacity=0.2) surface2.actor.actor.position = position module_manager = surface2.parent module_manager.scalar_lut_manager.lut_mode = 'Blues' return surface, surface2 def add_glyphs(obj, position, bbox, rel_scaling=None, scale_factor='auto', clamping=False, color=None): glyphs = mlab.pipeline.glyph(obj, mode='2darrow', scale_mode='vector', color=color, opacity=1.0) if scale_factor == 'auto': rng = glyphs.glyph.glyph.range scale_factor = get_glyphs_scale_factor(rng, rel_scaling, bbox) glyphs.glyph.color_mode = 'color_by_vector' glyphs.glyph.scale_mode = 'scale_by_vector' glyphs.glyph.glyph.clamping = clamping glyphs.glyph.glyph.scale_factor = scale_factor glyphs.glyph.glyph_source.glyph_position = 'tail' glyphs.actor.actor.position = position return glyphs def add_text(obj, position, text, width=None, color=(0, 0, 0)): if width is None: width = 0.02 * len(text) t = mlab.text(x=position[0], y=position[1], text=text, z=position[2], color=color, width=width) return t def get_position_counts(n_data, layout): n_col = max(1.0, min(5.0, nm.fix(nm.sqrt(n_data)))) n_row = int(nm.ceil(n_data / n_col)) n_col = int(n_col) if layout == 'rowcol': n_row, n_col = n_col, n_row elif layout == 'row': n_row, n_col = 1, n_data elif layout == 'col': n_row, n_col = n_data, 1 elif layout == 'colrow': pass else: num = int(layout[3:]) n_col = num n_row = int(nm.ceil(n_data / float(n_col))) if layout[:3] == 'col': n_row, n_col = n_col, n_row return n_row, n_col def get_opacities(opacity): """ Provide defaults for all supported opacity settings. """ defaults = { 'wireframe' : 0.05, 'scalar_cut_plane' : 0.5, 'vector_cut_plane' : 0.5, 'surface' : 1.0, 'iso_surface' : 0.3, 'arrows_surface' : 0.3, 'glyphs' : 1.0 } if isinstance(opacity, dict): opacities = opacity default = None else: opacities = {} default = opacity for key in ['wireframe', 'scalar_cut_plane', 'vector_cut_plane', 'surface', 'iso_surface', 'arrows_surface', 'glyphs']: if default is None: opacities.setdefault(key, defaults[key]) else: opacities.setdefault(key, default) return opacities class Viewer(Struct): """ Class to automate visualization of various data using Mayavi. It can use any format that mlab.pipeline.open() handles, e.g. a VTK format. After opening a data file, all data (point, cell, scalars, vectors, tensors) are plotted in a grid layout. Parameters: watch : bool If True, watch the file for changes and update the mayavi pipeline automatically. ffmpeg_options : str The ffmpeg animation encoding options. output_dir : str The output directory, where view snapshots will be saved. Examples: >>> view = Viewer('file.vtk') >>> view() # view with default parameters >>> view(layout='col') # use column layout """ def __init__(self, filename, watch=False, ffmpeg_options=None, output_dir='.', offscreen=False): Struct.__init__(self, filename=filename, watch=watch, ffmpeg_options=ffmpeg_options, output_dir=output_dir, offscreen=offscreen, scene=None, gui=None) self.options = get_arguments(omit=['self']) if mlab is None: output('mlab cannot be imported, check your installation!') insert_as_static_method(self.__class__, '__call__', self.call_empty) else: insert_as_static_method(self.__class__, '__call__', self.call_mlab) def get_data_names(self, source=None, detailed=False): if source is None: mlab.options.offscreen = self.offscreen mlab.figure(fgcolor=self.fgcolor, bgcolor=self.bgcolor, size=(1, 1)) source = mlab.pipeline.open(self.filename) point_scalar_names = sorted(source._point_scalars_list[:-1]) point_vector_names = sorted(source._point_vectors_list[:-1]) point_tensor_names = sorted(source._point_tensors_list[:-1]) cell_scalar_names = sorted(source._cell_scalars_list[:-1]) cell_vector_names = sorted(source._cell_vectors_list[:-1]) cell_tensor_names = sorted(source._cell_tensors_list[:-1]) p_names = [['point', 'scalars', name] for name in point_scalar_names] p_names += [['point', 'vectors', name] for name in point_vector_names] p_names += [['point', 'tensors', name] for name in point_tensor_names] c_names = [['cell', 'scalars', name] for name in cell_scalar_names] c_names += [['cell', 'vectors', name] for name in cell_vector_names] c_names += [['cell', 'tensors', name] for name in cell_tensor_names] if detailed: return p_names, c_names else: return p_names + c_names def set_source_filename(self, filename): self.filename = filename try: self.file_source.set_filename(filename, self.scene.children[0]) except (AttributeError, IndexError): # No sources yet. pass def save_image(self, filename): """Save a snapshot of the current scene.""" name = os.path.join(self.output_dir, filename) ensure_path(name) output('saving %s...' % name) self.scene.scene.save(name) output('...done') def get_animation_info(self, filename, add_output_dir=True, last_step=None): if last_step is None: steps, _ = self.file_source.get_ts_info() last_step = steps[-1] base, ext = os.path.splitext(filename) if add_output_dir: base = os.path.join(self.output_dir, base) _, _, suffix1 = get_print_info(last_step + 1) return base, suffix1 + '_%.5e', ext def save_animation(self, filename, steps=None, times=None): """ Animate the current scene view for the selected time steps or times and save a snapshot of each view. """ all_steps, all_times = self.file_source.get_ts_info() if steps is None: if times is None: iis = nm.arange(len(all_steps), dtype=nm.int32) else: iis = nm.searchsorted(all_times, times) iis = nm.clip(iis, 0, len(all_steps) - 1) if not len(iis): iis = [0] else: iis = nm.searchsorted(all_steps, steps) iis = nm.clip(iis, 0, len(all_steps) - 1) last_step = all_steps[iis[-1]] base, suffix, ext = self.get_animation_info(filename, add_output_dir=False, last_step=last_step) for ii in iis: step = all_steps[ii] if len(all_times): time = all_times[ii] aux = (suffix % (step, time)).replace('.', '_') else: aux = (suffix % (step, 0.0)).replace('.', '_') name = '.'.join((base, aux, ext[1:])) output('%d: %s' % (step, name)) self.set_step.step = step self.save_image(name) def encode_animation(self, filename, format, ffmpeg_options=None): if ffmpeg_options is None: ffmpeg_options = '-r 10 -sameq' base, _, ext = self.get_animation_info(filename) anim_name = '.'.join((base, format)) cmd = 'ffmpeg %s -i %s %s' \ % (ffmpeg_options, '.'.join((base, '%*', ext[1:])), anim_name) output('creating animation "%s"...' % anim_name) output('using command:') output(cmd) try: os.system(cmd) except: output('...warning: animation not created, is ffmpeg installed?') else: output('...done') return anim_name def get_size_hint(self, layout, resolution=None): if resolution is not None: size = resolution elif layout == 'rowcol': size = (800, 600) elif layout == 'row': size = (1000, 600) elif layout == 'col': size = (600, 1000) elif layout == 'colrow': size = (600, 800) else: size = (800, 800) return size def build_mlab_pipeline(self, file_source=None, is_3d=False, layout='rowcol', scalar_mode='iso_surface', vector_mode='arrows_norm', rel_scaling=None, clamping=False, ranges=None, is_scalar_bar=False, is_wireframe=False, opacity=None, subdomains_args=None, rel_text_width=None, filter_names=None, group_names=None, only_names=None, domain_specific=None, **kwargs): """Sets self.source, self.is_3d_data """ opacities = get_opacities(opacity) file_source = get_default(file_source, self.file_source, 'file_source not set!') filter_names = get_default(filter_names, []) domain_specific = get_default(domain_specific, {}) if subdomains_args is not None: is_subdomains = True file_source.setup_mat_id(subdomains_args['mat_id_name'], subdomains_args['single_color']) else: is_subdomains = False self.source = source = self.file_source() data_ranges = get_data_ranges(source, return_only=True) # Hack to prevent mayavi switching to point scalar on source # change. if len(source._point_scalars_list): source.point_scalars_name = '' bbox = file_source.get_bounding_box() bx = bbox[1,:] - bbox[0,:] dx = 1.1 * bx float_eps = nm.finfo(nm.float64).eps self.is_3d_data = abs(dx[2]) > (10.0 * float_eps) p_names, c_names = self.get_data_names(source, detailed=True) names = p_names + c_names if only_names is None: names = [ii for ii in names if ii[2] not in filter_names] else: # Use order of only_names. _names = [] aux = [ii[2] for ii in names] for name in only_names: try: ii = aux.index(name) except ValueError: output('ignoring nonexistent name: %s' % name) continue _names.append(names[ii]) if len(_names) != len(only_names): output('warning: some names were not found!') if not len(_names): raise ValueError('no names were found! (%s not in %s)' % (only_names, [name[2] for name in names])) names = _names if group_names is not None: ndict = {} for name in names: ndict[name[2]] = name repeat = [] _names = [] aux = set(name[2] for name in names) for group in group_names: aux.difference_update(group) repeat.append(len(group)) for name in group: _names.append(ndict[name]) repeat.extend([1] * len(aux)) n_pos = len(repeat) names = _names n_data = len(names) else: n_pos = n_data = len(names) repeat = [1] * n_data def _make_iterator(repeat, n_row, n_col): ii = 0 for ij, iric in enumerate(cycle((n_row, n_col))): ir, ic = iric if ij < len(repeat): for ik in xrange(repeat[ij]): yield ii, ir, ic ii += 1 n_row, n_col = get_position_counts(n_pos, layout) if layout[:3] == 'col': iterator = _make_iterator(repeat, n_col, n_row) else: iterator = _make_iterator(repeat, n_row, n_col) max_label_width = nm.max([len(ii[2]) for ii in names] + [5]) + 2 # Scene dimensions. wx = dx * (nm.array([n_col, n_row, 0])) - 0.1 * bx if c_names: ctp = mlab.pipeline.cell_to_point_data(source) else: ctp = None self.scalar_bars = [] for ii, ir, ic in iterator: if layout[:3] == 'col': ir, ic = ic, ir if ii == n_data: break family, kind, name = names[ii] data_range = data_ranges[name] is_magnitude = False position = nm.array([dx[0] * ic - 0.5 * wx[0], dx[1] * (n_row - ir - 1) - 0.5 * wx[1], 0]) output(family, kind, name, 'at', position) output('range: %.2e %.2e l2 norm range: %.2e %.2e' % data_range[3:]) if name in domain_specific: if ctp is None: ctp = mlab.pipeline.cell_to_point_data(source) ds = domain_specific[name] out = ds(source, ctp, bbox, position, family, kind, name) if len(out) == 4: kind, name, active, bars = out self.scalar_bars.extend(bars) else: kind, name, active = out elif kind == 'scalars': if family == 'point': active = mlab.pipeline.set_active_attribute(source) else: if is_3d and ('iso_surface' in scalar_mode): active = mlab.pipeline.set_active_attribute(ctp) else: active = mlab.pipeline.set_active_attribute(source) setattr(active, '%s_%s_name' % (family, kind), name) if is_3d: if 'cut_plane' in scalar_mode: op = opacities['scalar_cut_plane'] add_scalar_cut_plane(active, position, [1, 0, 0], opacity=op) add_scalar_cut_plane(active, position, [0, 1, 0], opacity=op) add_scalar_cut_plane(active, position, [0, 0, 1], opacity=op) if 'iso_surface' in scalar_mode: active.point_scalars_name = name add_iso_surface(active, position, opacity=opacities['iso_surface']) else: add_surf(active, position, opacity=opacities['surface']) elif kind == 'vectors': if family == 'point': active = mlab.pipeline.set_active_attribute(source) else: active = mlab.pipeline.set_active_attribute(ctp) active.point_vectors_name = name if (ranges is not None) and (name in ranges): sf = get_glyphs_scale_factor(ranges[name], rel_scaling, bbox) else: sf = None if 'arrows' in vector_mode: glyphs = add_glyphs(active, position, bbox, rel_scaling=rel_scaling, clamping=clamping) if sf is not None: glyphs.glyph.glyph.scale_factor = sf if 'warp' in vector_mode: active = mlab.pipeline.warp_vector(active) active.filter.scale_factor = rel_scaling if 'norm' in vector_mode: active = mlab.pipeline.extract_vector_norm(active) if 'arrows' in vector_mode: op = opacities['arrows_surface'] else: op = opacities['surface'] add_surf(active, position, opacity=op) if is_3d: if 'cut_plane' in vector_mode: op = opacities['vector_cut_plane'] for normal in [[1, 0, 0], [0, 1, 0], [0, 0, 1]]: vcp = add_vector_cut_plane(active, position, normal, bbox, rel_scaling=rel_scaling, clamping=clamping, opacity=op) if sf is not None: vcp.glyph.glyph.scale_factor = sf elif kind == 'tensors': if family == 'point': active = mlab.pipeline.set_active_attribute(source) else: active = mlab.pipeline.set_active_attribute(ctp) active.point_tensors_name = name active = mlab.pipeline.extract_tensor_components(active) is_magnitude = True if is_3d: if 'cut_plane' in scalar_mode: op = opacities['scalar_cut_plane'] add_scalar_cut_plane(active, position, [1, 0, 0], opacity=op) add_scalar_cut_plane(active, position, [0, 1, 0], opacity=op) add_scalar_cut_plane(active, position, [0, 0, 1], opacity=op) if 'iso_surface' in scalar_mode: add_iso_surface(active, position, opacity=opacities['iso_surface']) else: add_surf(active, position, opacity=opacities['surface']) else: raise ValueError('bad kind! (%s)' % kind) if (ranges is not None) and (name in ranges): mm = active.children[0] if (kind == 'scalars') or (kind == 'tensors'): lm = mm.scalar_lut_manager else: # kind == 'vectors': lm = mm.vector_lut_manager lm.use_default_range = False lm.data_range = ranges[name] if is_subdomains: add_subdomains_surface(source, position, **subdomains_args) if is_wireframe: surf = add_surf(source, position, opacity=opacities['wireframe']) surf.actor.property.representation = 'wireframe' surf.actor.mapper.scalar_visibility = False if is_scalar_bar: mm = active.children[0] if (kind == 'scalars') or (kind == 'tensors'): lm = mm.scalar_lut_manager else: # kind == 'vectors': lm = mm.vector_lut_manager self.scalar_bars.append((family, name, lm)) if rel_text_width > (10 * float_eps): position[2] = 0.5 * dx[2] if is_magnitude: name = '|%s|' % name add_text(active, position, name, float(rel_text_width * len(name)) / float(max_label_width), color=self.fgcolor) if not names: # No data, so just show the mesh. surf = add_surf(source, (0.0, 0.0, 0.0), opacity=opacities['surface']) surf.actor.property.color = (0.8, 0.8, 0.8) if is_subdomains: add_subdomains_surface(source, (0.0, 0.0, 0.0), **subdomains_args) if is_wireframe: surf = add_surf(source, (0.0, 0.0, 0.0), opacity=opacities['wireframe']) surf.actor.property.representation = 'wireframe' surf.actor.mapper.scalar_visibility = False def render_scene(self, scene, options): """ Render the scene, preferably after it has been activated. """ scene.scene.disable_render = True self.build_mlab_pipeline(**options) self.source.update() # Force source update to see e.g. streamlines. scene.scene.reset_zoom() view = options['view'] if view is None: if options['is_3d'] or self.is_3d_data: self.view = (45, 45) else: self.view = (0, 0) else: self.view = view self.roll = options['roll'] scene.scene.disable_render = False anti_aliasing = options['anti_aliasing'] if anti_aliasing is not None: scene.scene.anti_aliasing_frames = anti_aliasing def show_scalar_bars(self, scalar_bars): for ii, (family, name, lm) in enumerate(scalar_bars): x0, y0 = 0.03, 1.0 - 0.01 - float(ii) / 15.0 - 0.07 x1, y1 = 0.4, 0.07 lm.scalar_bar_representation.position = [x0, y0] lm.scalar_bar_representation.position2 = [x1, y1] lm.number_of_labels = 5 lm.scalar_bar.orientation = 'horizontal' lm.data_name = '%s: %s' % (family, name) lm.scalar_bar.title_text_property.font_size = 20 lm.scalar_bar.label_text_property.font_size = 16 lm.show_scalar_bar = True def reset_view(self): mlab.view(*self.view) mlab.roll(self.roll) self.scene.scene.camera.zoom(1.0) def __call__(self, *args, **kwargs): """ This is either call_mlab() or call_empty(). """ pass def call_empty(self, *args, **kwargs): pass def call_mlab(self, scene=None, show=True, is_3d=False, view=None, roll=None, fgcolor=(0.0, 0.0, 0.0), bgcolor=(1.0, 1.0, 1.0), layout='rowcol', scalar_mode='iso_surface', vector_mode='arrows_norm', rel_scaling=None, clamping=False, ranges=None, is_scalar_bar=False, is_wireframe=False, opacity=None, subdomains_args=None, rel_text_width=None, fig_filename='view.png', resolution=None, filter_names=None, only_names=None, group_names=None, step=None, time=None, anti_aliasing=None, domain_specific=None): """ By default, all data (point, cell, scalars, vectors, tensors) are plotted in a grid layout, except data named 'node_groups', 'mat_id' which are usually not interesting. Parameters ---------- show : bool Call mlab.show(). is_3d : bool If True, use scalar cut planes instead of surface for certain datasets. Also sets 3D view mode. view : tuple Azimuth, elevation angles, distance and focal point as in `mlab.view()`. roll : float Roll angle tuple as in mlab.roll(). fgcolor : tuple of floats (R, G, B) The foreground color, that is the color of all text annotation labels (axes, orientation axes, scalar bar labels). bgcolor : tuple of floats (R, G, B) The background color. layout : str Grid layout for placing the datasets. Possible values are: 'row', 'col', 'rowcol', 'colrow'. scalar_mode : str Mode for plotting scalars and tensor magnitudes, one of 'cut_plane', 'iso_surface', 'both'. vector_mode : str Mode for plotting vectors, one of 'arrows', 'norm', 'arrows_norm', 'warp_norm'. rel_scaling : float Relative scaling of glyphs for vector datasets. clamping : bool Clamping for vector datasets. ranges : dict List of data ranges in the form {name : (min, max), ...}. is_scalar_bar : bool If True, show a scalar bar for each data. is_wireframe : bool If True, show a wireframe of mesh surface bar for each data. opacity : float Global surface and wireframe opacity setting in [0.0, 1.0], subdomains_args : tuple Tuple of (mat_id_name, threshold_limits, single_color), see :func:`add_subdomains_surface`, or None. rel_text_width : float Relative text width. fig_filename : str File name for saving the resulting scene figure. resolution : tuple Scene and figure resolution. If None, it is set automatically according to the layout. filter_names : list of strings Omit the listed datasets. If None, it is initialized to ['node_groups', 'mat_id']. Pass [] if you need no filtering. only_names : list of strings Draw only the listed datasets. If None, it is initialized all names besides those in filter_names. group_names : list of tuples List of data names in the form [(name1, ..., nameN), (...)]. Plots of data named in each group are superimposed. Repetitions of names are possible. step : int, optional If not None, the time step to display. The closest higher step is used if the desired one is not available. Has precedence over `time`. time : float, optional If not None, the time of the time step to display. The closest higher time is used if the desired one is not available. anti_aliasing : int Value of anti-aliasing. domain_specific : dict Domain-specific drawing functions and configurations. """ self.fgcolor = fgcolor self.bgcolor = bgcolor if filter_names is None: filter_names = ['node_groups', 'mat_id'] if rel_text_width is None: rel_text_width = 0.02 if isinstance(scalar_mode, basestr): if scalar_mode == 'both': scalar_mode = ('cut_plane', 'iso_surface') elif scalar_mode in ('cut_plane', 'iso_surface'): scalar_mode = (scalar_mode,) else: raise ValueError('bad value of scalar_mode parameter! (%s)' % scalar_mode) else: for sm in scalar_mode: if not sm in ('cut_plane', 'iso_surface'): raise ValueError('bad value of scalar_mode parameter! (%s)' % sm) if isinstance(vector_mode, basestr): if vector_mode == 'arrows_norm': vector_mode = ('arrows', 'norm') elif vector_mode == 'warp_norm': vector_mode = ('warp', 'norm') elif vector_mode in ('arrows', 'norm'): vector_mode = (vector_mode,) elif vector_mode == 'cut_plane': if is_3d: vector_mode = ('cut_plane',) else: vector_mode = ('arrows',) else: raise ValueError('bad value of vector_mode parameter! (%s)' % vector_mode) else: for vm in vector_mode: if not vm in ('arrows', 'norm', 'warp'): raise ValueError('bad value of vector_mode parameter! (%s)' % vm) mlab.options.offscreen = self.offscreen self.size_hint = self.get_size_hint(layout, resolution=resolution) is_new_scene = False if scene is not None: if scene is not self.scene: is_new_scene = True self.scene = scene gui = None else: if (self.scene is not None) and (not self.scene.running): self.scene = None if self.scene is None: if self.offscreen or not show: gui = None scene = mlab.figure(fgcolor=fgcolor, bgcolor=bgcolor, size=self.size_hint) else: gui = ViewerGUI(viewer=self, fgcolor=fgcolor, bgcolor=bgcolor) scene = gui.scene.mayavi_scene if scene is not self.scene: is_new_scene = True self.scene = scene else: gui = self.gui scene = self.scene self.engine = mlab.get_engine() self.engine.current_scene = self.scene self.gui = gui self.file_source = create_file_source(self.filename, watch=self.watch, offscreen=self.offscreen) steps, times = self.file_source.get_ts_info() has_several_times = len(times) > 0 has_several_steps = has_several_times or (len(steps) > 0) if gui is not None: gui.has_several_steps = has_several_steps self.reload_source = reload_source = ReloadSource() reload_source._viewer = self reload_source._source = self.file_source if has_several_steps: self.set_step = set_step = SetStep() set_step._viewer = self set_step._source = self.file_source if step is not None: step = step if step >= 0 else steps[-1] + step + 1 assert_(steps[0] <= step <= steps[-1], msg='invalid time step! (%d <= %d <= %d)' % (steps[0], step, steps[-1])) set_step.step = step elif time is not None: assert_(times[0] <= time <= times[-1], msg='invalid time! (%e <= %e <= %e)' % (times[0], time, times[-1])) set_step.time = time else: set_step.step = steps[0] if self.watch: self.file_source.setup_notification(set_step, 'file_changed') if gui is not None: gui.set_step = set_step else: if self.watch: self.file_source.setup_notification(reload_source, 'reload_source') self.options.update(get_arguments(omit = ['self', 'file_source'])) if gui is None: self.render_scene(scene, self.options) self.reset_view() if is_scalar_bar: self.show_scalar_bars(self.scalar_bars) else: traits_view = View( Item('scene', editor=SceneEditor(scene_class=MayaviScene), show_label=False, width=self.size_hint[0], height=self.size_hint[1], style='custom', ), Group(Item('set_step', defined_when='set_step is not None', show_label=False, style='custom'), ), HGroup(spring, Item('button_make_snapshots_steps', show_label=False, enabled_when='has_several_steps == True'), Item('button_make_animation_steps', show_label=False, enabled_when='has_several_steps == True'), spring, Item('button_make_snapshots_times', show_label=False, enabled_when='has_several_steps == True'), Item('button_make_animation_times', show_label=False, enabled_when='has_several_steps == True'), spring,), HGroup(spring, Item('button_reload', show_label=False), Item('button_view', show_label=False), Item('button_quit', show_label=False)), resizable=True, buttons=[], handler=ClosingHandler(), ) if is_new_scene: if show: gui.configure_traits(view=traits_view) else: gui.edit_traits(view=traits_view) return gui class SetStep(HasTraits): _viewer = Instance(Viewer) _source = Instance(FileSource) seq_start = Int(0) seq_stop = Int(-1) seq_step = Int(1) seq_t0 = Float seq_t1 = Float seq_dt = Float seq_n_step = Int _step_editor = RangeEditor(low_name='step_low', high_name='step_high', label_width=28, auto_set=True, mode='slider') step = None step_low = Int step_high = Int _time_editor = RangeEditor(low_name='time_low', high_name='time_high', label_width=28, auto_set=True, mode='slider') time = None time_low = Float time_high = Float file_changed = Bool(False) is_adjust = False traits_view = View( Item('step', defined_when='step is not None', editor=_step_editor), Item('time', defined_when='time is not None', editor=_time_editor), HGroup(Heading('steps:'), Item('seq_start', label='start'), Item('seq_stop', label='stop'), Item('seq_step', label='step'), Heading('times:'), Item('seq_t0', label='t0'), Item('seq_t1', label='t1'), Item('seq_dt', label='dt'), Item('seq_n_step', label='n_step')), ) def __source_changed(self, old, new): steps = self._source.steps if len(steps): self.add_trait('step', Int(0)) self.step_low, self.step_high = steps[0], steps[-1] times = self._source.times if len(times): self.add_trait('time', Float(0.0)) self.time_low, self.time_high = times[0], times[-1] def _step_changed(self, old, new): if new == old: return if not self.is_adjust: step, time = self._source.get_step_time(step=new) self.is_adjust = True self.step = step self.time = time self.is_adjust = False self._viewer.set_source_filename(self._source.filename) def _time_changed(self, old, new): if new == old: return if not self.is_adjust: step, time = self._source.get_step_time(time=new) self.is_adjust = True self.step = step self.time = time self.is_adjust = False self._viewer.set_source_filename(self._source.filename) def _file_changed_changed(self, old, new): if new == True: steps = self._source.steps if len(steps): self.step_low, self.step_high = steps[0], steps[-1] times = self._source.times if len(times): self.time_low, self.time_high = times[0], times[-1] self.file_changed = False @on_trait_change('step_high, time_high') def init_seq_selection(self, name, new): self.seq_t0 = self.time_low self.seq_t1 = self.time_high self.seq_n_step = self.step_high - self.step_low + 1 self.seq_dt = (self.seq_t1 - self.seq_t0) / self.seq_n_step self.seq_start = self.step_low self.seq_stop = self.step_high + 1 if name == 'time_high': self.on_trait_change(self.init_seq_selection, 'time_high', remove=True) def _seq_n_step_changed(self, old, new): if new == old: return self.seq_dt = (self.seq_t1 - self.seq_t0) / self.seq_n_step def _seq_dt_changed(self, old, new): if new == old: return if self.seq_dt == 0.0: return n_step = int(round((self.seq_t1 - self.seq_t0) / self.seq_dt)) self.seq_n_step = max(1, n_step) class ReloadSource(HasTraits): _viewer = Instance(Viewer) _source = Instance(FileSource) reload_source = Bool(False) def _reload_source_changed(self, old, new): if new == True: ext = os.path.splitext(self._source.filename)[1] if ext == 'vtk': while 1: # Wait for the file to be completely written. fd = open(self._source.filename, 'r') ch = fd.read(1) fd.close() if ch == '#': break self._viewer.set_source_filename(self._source.filename) self.reload_source = False def make_animation(filename, view, roll, anim_format, options, steps=None, times=None, reuse_viewer=None): output_dir = tempfile.mkdtemp() viewer = Viewer(filename, watch=options.watch, output_dir=output_dir, offscreen=True) if reuse_viewer is None: viewer(show=False, is_3d=options.is_3d, view=view, roll=roll, layout=options.layout, scalar_mode=options.scalar_mode, vector_mode=options.vector_mode, rel_scaling=options.rel_scaling, clamping=options.clamping, ranges=options.ranges, is_scalar_bar=options.is_scalar_bar, is_wireframe=options.is_wireframe, opacity=options.opacity, subdomains_args=options.subdomains_args, rel_text_width=options.rel_text_width, fig_filename=options.fig_filename, resolution=options.resolution, filter_names=options.filter_names, only_names=options.only_names, group_names=options.group_names, anti_aliasing=options.anti_aliasing, domain_specific=options.domain_specific) else: viewer.file_source = reuse_viewer.file_source viewer.scene = reuse_viewer.scene viewer.set_step = reuse_viewer.set_step viewer.save_animation(options.fig_filename, steps=steps, times=times) op = os.path if anim_format != 'png': anim_name = viewer.encode_animation(options.fig_filename, anim_format, options.ffmpeg_options) shutil.move(anim_name, op.join(options.output_dir, op.split(anim_name)[1])) shutil.rmtree(output_dir) else: shutil.move(output_dir, op.join(options.output_dir, 'snapshots')) if reuse_viewer is None: mlab.close(viewer.scene) class ClosingHandler(Handler): def object_button_quit_changed(self, info): info.ui.dispose() class ViewerGUI(HasTraits): scene = Instance(MlabSceneModel, ()) has_several_steps = Bool(False) viewer = Instance(Viewer) set_step = Instance(SetStep) button_reload = Button('reload') button_view = Button('print view') button_quit = Button('quit') button_make_animation_steps = Button('make animation') button_make_snapshots_steps = Button('make snapshots') button_make_animation_times = Button('make animation') button_make_snapshots_times = Button('make snapshots') @on_trait_change('scene.activated') def _post_init(self, name, old, new): viewer = self.viewer viewer.render_scene(self.scene, viewer.options) viewer.reset_view() viewer.show_scalar_bars(viewer.scalar_bars) def __init__(self, fgcolor=(0.0, 0.0, 0.0), bgcolor=(1.0, 1.0, 1.0), **traits): HasTraits.__init__(self, **traits) scene = self.scene.scene scene.foreground = fgcolor scene.background = bgcolor def _button_reload_fired(self): self.viewer.reload_source.reload_source = True def _button_view_fired(self): self.scene.camera.print_traits() view = mlab.view() roll = mlab.roll() print 'view:', view print 'roll:', roll print 'as args: --view=%.2e,%.2e,%.2e,%.2e,%.2e,%.2e --roll=%.2e' \ % (view[:3] + tuple(view[3]) + (roll,)) def _button_make_animation_steps_fired(self): view = mlab.view() roll = mlab.roll() steps = nm.arange(self.set_step.seq_start, self.set_step.seq_stop, self.set_step.seq_step, dtype=nm.int32) make_animation(self.viewer.filename, view, roll, 'avi', Struct(**self.viewer.options), steps=steps, reuse_viewer=self.viewer) def _button_make_snapshots_steps_fired(self): view = mlab.view() roll = mlab.roll() steps = nm.arange(self.set_step.seq_start, self.set_step.seq_stop, self.set_step.seq_step, dtype=nm.int32) make_animation(self.viewer.filename, view, roll, 'png', Struct(**self.viewer.options), steps=steps, reuse_viewer=self.viewer) def _button_make_animation_times_fired(self): view = mlab.view() roll = mlab.roll() times = nm.arange(self.set_step.seq_t0, self.set_step.seq_t1 + 0.01 * self.set_step.seq_dt, self.set_step.seq_dt, dtype=nm.float64) make_animation(self.viewer.filename, view, roll, 'avi', Struct(**self.viewer.options), times=times, reuse_viewer=self.viewer) def _button_make_snapshots_times_fired(self): view = mlab.view() roll = mlab.roll() times = nm.arange(self.set_step.seq_t0, self.set_step.seq_t1 + 0.01 * self.set_step.seq_dt, self.set_step.seq_dt, dtype=nm.float64) make_animation(self.viewer.filename, view, roll, 'png', Struct(**self.viewer.options), times=times, reuse_viewer=self.viewer) sfepy-release_2015.1/sfepy/setup.py000066400000000000000000000013121247364230400172720ustar00rootroot00000000000000def configuration(parent_package='',top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) subdirs = [ 'applications', 'base', 'discrete', 'mesh', 'homogenization', 'linalg', 'mechanics', 'optimize', 'physics', 'postprocess', 'solvers', 'terms' ] for subdir in subdirs: config.add_subpackage(subdir) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/solvers/000077500000000000000000000000001247364230400172605ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/solvers/__init__.py000066400000000000000000000016471247364230400214010ustar00rootroot00000000000000import os import sfepy from sfepy.base.base import load_classes, insert_static_method from solvers import * from eigen import eig solver_files = sfepy.get_paths('sfepy/solvers/*.py') remove = ['setup.py', 'solvers.py', 'petsc_worker.py'] solver_files = [name for name in solver_files if os.path.basename(name) not in remove] solver_table = load_classes(solver_files, [LinearSolver, NonlinearSolver, TimeSteppingSolver, EigenvalueSolver, OptimizationSolver], package_name='sfepy.solvers') def register_solver(cls): """ Register a custom solver. """ solver_table[cls.name] = cls def any_from_conf(conf, **kwargs): """Create an instance of a solver class according to the configuration.""" return solver_table[conf.kind](conf, **kwargs) insert_static_method(Solver, any_from_conf) del any_from_conf del sfepy sfepy-release_2015.1/sfepy/solvers/eigen.py000066400000000000000000000226571247364230400207350ustar00rootroot00000000000000import time import numpy as nm from sfepy.base.base import output, get_default, try_imports, Struct from sfepy.solvers.solvers import SolverMeta, Solver, EigenvalueSolver def eig(mtx_a, mtx_b=None, n_eigs=None, eigenvectors=True, return_time=None, method='eig.scipy', **ckwargs): """ Utility function that constructs an eigenvalue solver given by `method`, calls it and returns solution. """ kwargs = {'name' : 'aux', 'kind' : method} kwargs.update(ckwargs) conf = Struct(**kwargs) solver = Solver.any_from_conf(conf) status = {} out = solver(mtx_a, mtx_b, n_eigs, eigenvectors, status) if return_time is not None: return_time[0] = status['time'] return out def standard_call(call): """ Decorator handling argument preparation and timing for eigensolvers. """ def _standard_call(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None, **kwargs): tt = time.clock() conf = get_default(conf, self.conf) mtx_a = get_default(mtx_a, self.mtx_a) mtx_b = get_default(mtx_b, self.mtx_b) n_eigs = get_default(n_eigs, self.n_eigs) eigenvectors = get_default(eigenvectors, self.eigenvectors) status = get_default(status, self.status) result = call(self, mtx_a, mtx_b, n_eigs, eigenvectors, status, conf, **kwargs) ttt = time.clock() - tt if status is not None: status['time'] = ttt return result return _standard_call class ScipyEigenvalueSolver(EigenvalueSolver): """ SciPy-based solver for both dense and sparse problems (if `n_eigs` is given). """ name = 'eig.scipy' __metaclass__ = SolverMeta _parameters = [ ('method', "{'eig', 'eigh'}", 'eig', False, """The method for solving general or symmetric eigenvalue problems: for dense problems :func:`eig()` or :func:`eigh()` are used, for sparse problems (if `n_eigs` is given) :func:`eigs()` or :func:`eigsh()` are used."""), ('*', '*', None, False, 'Additional parameters supported by the method.'), ] def __init__(self, conf, **kwargs): EigenvalueSolver.__init__(self, conf, **kwargs) import scipy.linalg as sla self.sla = sla aux = try_imports(['import scipy.sparse.linalg as ssla'], 'cannot import scipy sparse eigenvalue solvers!') self.ssla = aux['ssla'] @standard_call def __call__(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None): kwargs = self.build_solver_kwargs(conf) if n_eigs is None: mtx_a, mtx_b = self._to_array(mtx_a, mtx_b) eig = self.sla.eig if conf.method == 'eig' else self.sla.eigh out = eig(mtx_a, mtx_b, right=eigenvectors, **kwargs) else: eig = self.ssla.eigs if conf.method == 'eig' else self.ssla.eigsh out = eig(mtx_a, M=mtx_b, k=n_eigs, which='SM', return_eigenvectors=eigenvectors, **kwargs) if eigenvectors: eigs = out[0] else: eigs = out ii = nm.argsort(eigs) if eigenvectors: mtx_ev = out[1][:, ii] out = (eigs[ii], mtx_ev) else: out = eigs[ii] return out class ScipySGEigenvalueSolver(EigenvalueSolver): """ SciPy-based solver for dense symmetric problems. """ name = 'eig.sgscipy' __metaclass__ = SolverMeta def __init__(self, conf, **kwargs): EigenvalueSolver.__init__(self, conf, **kwargs) import scipy.lib.lapack as llapack self.llapack = llapack @standard_call def __call__(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None): """ Notes ----- Eigenvectors argument is ignored, as they are computed always. """ ll = self.llapack mtx_a, mtx_b = self._to_array(mtx_a, mtx_b) if nm.iscomplexobj(mtx_a): if mtx_b is None: fun = ll.get_lapack_funcs(['heev'], arrays=(mtx_a,))[0] else: fun = ll.get_lapack_funcs(['hegv'], arrays=(mtx_a,))[0] else: if mtx_b is None: fun = ll.get_lapack_funcs(['syev'], arrays=(mtx_a,))[0] else: fun = ll.get_lapack_funcs(['sygv'], arrays=(mtx_a,))[0] if mtx_b is None: out = fun(mtx_a) else: out = fun(mtx_a, mtx_b) if not eigenvectors: if n_eigs is None: out = out[0] else: out = out[0][:n_eigs] else: if n_eigs is None: out = out[:-1] else: out = (out[0][:n_eigs], out[1][:, :n_eigs]) return out class LOBPCGEigenvalueSolver(EigenvalueSolver): """ SciPy-based LOBPCG solver for sparse symmetric problems. """ name = 'eig.scipy_lobpcg' __metaclass__ = SolverMeta _parameters = [ ('i_max', 'int', 20, False, 'The maximum number of iterations.'), ('eps_a', 'float', None, False, 'The absolute tolerance for the convergence.'), ('largest', 'bool', True, False, 'If True, solve for the largest eigenvalues, otherwise the smallest.'), ('precond', '{dense matrix, sparse matrix, LinearOperator}', None, False, 'The preconditioner.'), ] def __init__(self, conf, **kwargs): EigenvalueSolver.__init__(self, conf, **kwargs) from scipy.sparse.linalg.eigen import lobpcg self.lobpcg = lobpcg @standard_call def __call__(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None): if n_eigs is None: n_eigs = mtx_a.shape[0] else: n_eigs = min(n_eigs, mtx_a.shape[0]) x = nm.zeros((mtx_a.shape[0], n_eigs), dtype=nm.float64) x[:n_eigs] = nm.eye(n_eigs, dtype=nm.float64) out = self.lobpcg(mtx_a, x, mtx_b, M=conf.precond, tol=conf.eps_a, maxiter=conf.i_max, largest=conf.largest, verbosityLevel=conf.verbose) if not eigenvectors: out = out[0] return out class PysparseEigenvalueSolver(EigenvalueSolver): """ Pysparse-based eigenvalue solver for sparse symmetric problems. """ name = 'eig.pysparse' __metaclass__ = SolverMeta _parameters = [ ('i_max', 'int', 100, False, 'The maximum number of iterations.'), ('eps_a', 'float', 1e-5, False, 'The absolute tolerance for the convergence.'), ('tau', 'float', 0.0, False, 'The target value.'), ('method', "{'cgs', 'qmrs'}", 'qmrs', False, 'The linear iterative solver supported by ``pysparse``.'), ('verbosity', 'int', 0, False, 'The ``pysparse`` verbosity level.'), ('strategy', '{0, 1}', 1, False, """The shifting and sorting strategy of JDSYM: strategy=0 enables the default JDSYM algorithm, strategy=1 enables JDSYM to avoid convergence to eigenvalues smaller than `tau`."""), ] @staticmethod def _convert_mat(mtx): from pysparse import spmatrix A = spmatrix.ll_mat(*mtx.shape) for i in xrange(mtx.indptr.shape[0] - 1): ii = slice(mtx.indptr[i], mtx.indptr[i+1]) n_in_row = ii.stop - ii.start A.update_add_at(mtx.data[ii], [i] * n_in_row, mtx.indices[ii]) return A def __init__(self, conf, **kwargs): EigenvalueSolver.__init__(self, conf, **kwargs) imp = try_imports(['from pysparse import jdsym, itsolvers, precon', 'from pysparse.eigen import jdsym;' ' from pysparse import itsolvers, precon'], 'cannot import pysparse eigensolvers!') self.imp = imp @standard_call def __call__(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None): jdsym = self.imp['jdsym'] itsolvers = self.imp['itsolvers'] precon = self.imp['precon'] output('solving...', verbose=conf.verbose) A = self._convert_mat(mtx_a) Atau = A.copy() if mtx_b is not None: M = self._convert_mat(mtx_b) Atau.shift(-conf.tau, M) K = precon.jacobi(Atau) A = A.to_sss() if mtx_b is not None: M = M.to_sss() else: M = None method = getattr(itsolvers, conf.method) kconv, lmbd, Q, it, it_in = jdsym.jdsym(A, M, K, n_eigs, conf.tau, conf.eps_a, conf.i_max, method, clvl=conf.verbosity, strategy=conf.strategy) output('number of converged eigenvalues:', kconv, verbose=conf.verbose) output('...done', verbose=conf.verbose) if status is not None: status['q'] = Q status['it'] = it status['it_in'] = it_in ii = nm.argsort(lmbd) if eigenvectors: out = (lmbd[ii], Q[:, ii]) else: out = lmbd[ii] return out sfepy-release_2015.1/sfepy/solvers/ls.py000066400000000000000000000751321247364230400202600ustar00rootroot00000000000000import time import numpy as nm import warnings import scipy.sparse as sps warnings.simplefilter('ignore', sps.SparseEfficiencyWarning) from sfepy.base.base import output, get_default, assert_, try_imports from sfepy.solvers.solvers import SolverMeta, LinearSolver def solve(mtx, rhs, solver_class=None, solver_conf=None): """ Solve the linear system with the matrix `mtx` and the right-hand side `rhs`. Convenience wrapper around the linear solver classes below. """ solver_class = get_default(solver_class, ScipyDirect) solver_conf = get_default(solver_conf, {}) solver = solver_class(solver_conf, mtx=mtx) solution = solver(rhs) return solution def standard_call(call): """ Decorator handling argument preparation and timing for linear solvers. """ def _standard_call(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): tt = time.clock() conf = get_default(conf, self.conf) mtx = get_default(mtx, self.mtx) status = get_default(status, self.status) assert_(mtx.shape[0] == mtx.shape[1] == rhs.shape[0]) if x0 is not None: assert_(x0.shape[0] == rhs.shape[0]) result = call(self, rhs, x0, conf, eps_a, eps_r, i_max, mtx, status, **kwargs) ttt = time.clock() - tt if status is not None: status['time'] = ttt return result return _standard_call class ScipyDirect(LinearSolver): """ Direct sparse solver from SciPy. """ name = 'ls.scipy_direct' __metaclass__ = SolverMeta _parameters = [ ('method', "{'auto', 'umfpack', 'superlu'}", 'auto', False, 'The actual solver to use.'), ('presolve', 'bool', False, False, 'If True, pre-factorize the matrix.'), ('warn', 'bool', True, False, 'If True, allow warnings.'), ] def __init__(self, conf, **kwargs): LinearSolver.__init__(self, conf, **kwargs) um = self.sls = None aux = try_imports(['import scipy.linsolve as sls', 'import scipy.splinalg.dsolve as sls', 'import scipy.sparse.linalg.dsolve as sls'], 'cannot import scipy sparse direct solvers!') self.sls = aux['sls'] aux = try_imports(['import scipy.linsolve.umfpack as um', 'import scipy.splinalg.dsolve.umfpack as um', 'import scipy.sparse.linalg.dsolve.umfpack as um', 'import scikits.umfpack as um']) if 'um' in aux: um = aux['um'] if um is not None: is_umfpack = hasattr(um, 'UMFPACK_OK') else: is_umfpack = False method = self.conf.method if method == 'superlu': self.sls.use_solver(useUmfpack=False) elif method == 'umfpack': if not is_umfpack and self.conf.warn: output('umfpack not available, using superlu!') elif method != 'auto': raise ValueError('uknown solution method! (%s)' % method) if method != 'superlu' and is_umfpack: self.sls.use_solver(useUmfpack=True, assumeSortedIndices=True) self.solve = None if self._presolve() and hasattr(self, 'mtx'): if self.mtx is not None: self.solve = self.sls.factorized(self.mtx) @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): if self.solve is not None: # Matrix is already prefactorized. return self.solve(rhs) else: return self.sls.spsolve(mtx, rhs) def _presolve(self): if hasattr(self, 'presolve'): return self.presolve else: return self.conf.presolve class ScipyIterative(LinearSolver): """ Interface to SciPy iterative solvers. The `eps_r` tolerance is both absolute and relative - the solvers stop when either the relative or the absolute residual is below it. A preconditioner can be anything that the SciPy solvers accept (sparse matrix, dense matrix, LinearOperator). """ name = 'ls.scipy_iterative' __metaclass__ = SolverMeta _parameters = [ ('method', 'str', 'cg', False, 'The actual solver to use.'), ('precond', '{sparse matrix, dense matrix, LinearOperator}', None, False, 'The preconditioner.'), ('callback', 'function', None, False, """User-supplied function to call after each iteration. It is called as callback(xk), where xk is the current solution vector."""), ('i_max', 'int', 100, False, 'The maximum number of iterations.'), ('eps_r', 'float', 1e-8, False, 'The relative or absolute tolerance for the residual.'), ] def __init__(self, conf, **kwargs): import scipy.sparse.linalg.isolve as la LinearSolver.__init__(self, conf, **kwargs) try: solver = getattr(la, self.conf.method) except AttributeError: output('scipy solver %s does not exist!' % self.conf.method) output('using cg instead') solver = la.cg self.solver = solver self.converged_reasons = { 0 : 'successful exit', 1 : 'number of iterations', -1 : 'illegal input or breakdown', } @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): eps_r = get_default(eps_r, self.conf.eps_r) i_max = get_default(i_max, self.conf.i_max) precond = get_default(kwargs.get('precond', None), self.conf.precond) callback = get_default(kwargs.get('callback', None), self.conf.callback) if conf.method == 'qmr': prec_args = {'M1' : precond, 'M2' : precond} else: prec_args = {'M' : precond} sol, info = self.solver(mtx, rhs, x0=x0, tol=eps_r, maxiter=i_max, callback=callback, **prec_args) output('%s convergence: %s (%s)' % (self.conf.method, info, self.converged_reasons[nm.sign(info)])) return sol class PyAMGSolver(LinearSolver): """ Interface to PyAMG solvers. """ name = 'ls.pyamg' __metaclass__ = SolverMeta _parameters = [ ('method', 'str', 'smoothed_aggregation_solver', False, 'The actual solver to use.'), ('accel', 'str', None, False, 'The accelerator.'), ('i_max', 'int', 100, False, 'The maximum number of iterations.'), ('eps_r', 'float', 1e-8, False, 'The relative tolerance for the residual.'), ] def __init__(self, conf, **kwargs): try: import pyamg except ImportError: msg = 'cannot import pyamg!' raise ImportError(msg) LinearSolver.__init__(self, conf, mg=None, **kwargs) try: solver = getattr(pyamg, self.conf.method) except AttributeError: output('pyamg.%s does not exist!' % self.conf.method) output('using pyamg.smoothed_aggregation_solver instead') solver = pyamg.smoothed_aggregation_solver self.solver = solver if hasattr(self, 'mtx'): if self.mtx is not None: self.mg = self.solver(self.mtx) @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): eps_r = get_default(eps_r, self.conf.eps_r) i_max = get_default(i_max, self.conf.i_max) if (self.mg is None) or (mtx is not self.mtx): self.mg = self.solver(mtx) self.mtx = mtx sol = self.mg.solve(rhs, x0=x0, accel=conf.accel, tol=eps_r, maxiter=i_max) return sol class PETScKrylovSolver(LinearSolver): """ PETSc Krylov subspace solver. The solver and preconditioner types are set upon the solver object creation. Tolerances can be overriden when called by passing a `conf` object. Convergence is reached when `rnorm < max(eps_r * rnorm_0, eps_a)`, where, in PETSc, `rnorm` is by default the norm of *preconditioned* residual. """ name = 'ls.petsc' __metaclass__ = SolverMeta _parameters = [ ('method', 'str', 'cg', False, 'The actual solver to use.'), ('precond', 'str', 'icc', False, 'The preconditioner.'), ('precond_side', "{'left', 'right', 'symmetric', None}", None, False, 'The preconditioner side.'), ('i_max', 'int', 100, False, 'The maximum number of iterations.'), ('eps_a', 'float', 1e-8, False, 'The absolute tolerance for the residual.'), ('eps_r', 'float', 1e-8, False, 'The relative tolerance for the residual.'), ('eps_d', 'float', 1e5, False, 'The divergence tolerance for the residual.'), ] _precond_sides = {None : None, 'left' : 0, 'right' : 1, 'symmetric' : 2} def __init__(self, conf, **kwargs): try: import petsc4py petsc4py.init([]) from petsc4py import PETSc except ImportError: msg = 'cannot import petsc4py!' raise ImportError(msg) LinearSolver.__init__(self, conf, petsc=PETSc, pmtx=None, **kwargs) ksp = PETSc.KSP().create() ksp.setType(self.conf.method) ksp.getPC().setType(self.conf.precond) side = self._precond_sides[self.conf.precond_side] if side is not None: ksp.setPCSide(side) self.ksp = ksp self.converged_reasons = {} for key, val in ksp.ConvergedReason.__dict__.iteritems(): if isinstance(val, int): self.converged_reasons[val] = key def set_matrix(self, mtx): mtx = sps.csr_matrix(mtx) pmtx = self.petsc.Mat().createAIJ(mtx.shape, csr=(mtx.indptr, mtx.indices, mtx.data)) sol, rhs = pmtx.getVecs() return pmtx, sol, rhs @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): eps_a = get_default(eps_a, self.conf.eps_a) eps_r = get_default(eps_r, self.conf.eps_r) i_max = get_default(i_max, self.conf.i_max) eps_d = self.conf.eps_d # There is no use in caching matrix in the solver - always set as new. pmtx, psol, prhs = self.set_matrix(mtx) ksp = self.ksp ksp.setOperators(pmtx) ksp.setFromOptions() # PETSc.Options() not used yet... ksp.setTolerances(atol=eps_a, rtol=eps_r, divtol=eps_d, max_it=i_max) # Set PETSc rhs, solve, get solution from PETSc solution. if x0 is not None: psol[...] = x0 ksp.setInitialGuessNonzero(True) prhs[...] = rhs ksp.solve(prhs, psol) sol = psol[...].copy() output('%s(%s) convergence: %s (%s)' % (self.conf.method, self.conf.precond, ksp.reason, self.converged_reasons[ksp.reason])) return sol class PETScParallelKrylovSolver(PETScKrylovSolver): """ PETSc Krylov subspace solver able to run in parallel by storing the system to disk and running a separate script via `mpiexec`. The solver and preconditioner types are set upon the solver object creation. Tolerances can be overriden when called by passing a `conf` object. Convergence is reached when `rnorm < max(eps_r * rnorm_0, eps_a)`, where, in PETSc, `rnorm` is by default the norm of *preconditioned* residual. """ name = 'ls.petsc_parallel' __metaclass__ = SolverMeta _parameters = PETScKrylovSolver._parameters + [ ('log_dir', 'str', '.', False, 'The directory for storing logs.'), ('n_proc', 'int', 1, False, 'The number of processes.'), ('sub_precond', 'str', 'icc', False, 'The preconditioner for matrix blocks.'), ] @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): import os, sys, shutil, tempfile from sfepy import base_dir from sfepy.base.ioutils import ensure_path eps_a = get_default(eps_a, self.conf.eps_a) eps_r = get_default(eps_r, self.conf.eps_r) i_max = get_default(i_max, self.conf.i_max) eps_d = self.conf.eps_d petsc = self.petsc # There is no use in caching matrix in the solver - always set as new. pmtx, psol, prhs = self.set_matrix(mtx) ksp = self.ksp ksp.setOperators(pmtx) ksp.setFromOptions() # PETSc.Options() not used yet... ksp.setTolerances(atol=eps_a, rtol=eps_r, divtol=eps_d, max_it=i_max) output_dir = tempfile.mkdtemp() # Set PETSc rhs, solve, get solution from PETSc solution. if x0 is not None: psol[...] = x0 sol0_filename = os.path.join(output_dir, 'sol0.dat') else: sol0_filename = '' prhs[...] = rhs script_filename = os.path.join(base_dir, 'solvers/petsc_worker.py') mtx_filename = os.path.join(output_dir, 'mtx.dat') rhs_filename = os.path.join(output_dir, 'rhs.dat') sol_filename = os.path.join(output_dir, 'sol.dat') status_filename = os.path.join(output_dir, 'status.txt') log_filename = os.path.join(self.conf.log_dir, 'sol.log') ensure_path(log_filename) output('storing system to %s...' % output_dir) tt = time.clock() view_mtx = petsc.Viewer().createBinary(mtx_filename, mode='w') view_rhs = petsc.Viewer().createBinary(rhs_filename, mode='w') pmtx.view(view_mtx) prhs.view(view_rhs) if sol0_filename: view_sol0 = petsc.Viewer().createBinary(sol0_filename, mode='w') psol.view(view_sol0) output('...done in %.2f s' % (time.clock() - tt)) command = [ 'mpiexec -n %d' % self.conf.n_proc, sys.executable, script_filename, '-mtx %s' % mtx_filename, '-rhs %s' % rhs_filename, '-sol0 %s' % sol0_filename, '-sol %s' % sol_filename, '-status %s' % status_filename, '-ksp_type %s' % self.conf.method, '-pc_type %s' % self.conf.precond, '-sub_pc_type %s' % self.conf.sub_precond, '-ksp_atol %.3e' % self.conf.eps_a, '-ksp_rtol %.3e' % self.conf.eps_r, '-ksp_max_it %d' % self.conf.i_max, '-ksp_monitor %s' % log_filename, '-ksp_view %s' % log_filename, ] if self.conf.precond_side is not None: command.append('-ksp_pc_side %s' % self.conf.precond_side) out = os.system(" ".join(command)) assert_(out == 0) output('reading solution...') tt = time.clock() view_sol = self.petsc.Viewer().createBinary(sol_filename, mode='r') psol = petsc.Vec().load(view_sol) fd = open(status_filename, 'r') line = fd.readline().split() reason = int(line[0]) elapsed = float(line[1]) fd.close() output('...done in %.2f s' % (time.clock() - tt)) sol = psol[...].copy() output('%s(%s, %s/proc) convergence: %s (%s)' % (self.conf.method, self.conf.precond, self.conf.sub_precond, reason, self.converged_reasons[reason])) output('elapsed: %.2f [s]' % elapsed) shutil.rmtree(output_dir) return sol class SchurGeneralized(ScipyDirect): r""" Generalized Schur complement. Defines the matrix blocks and calls user defined function. """ name = 'ls.schur_generalized' __metaclass__ = SolverMeta _parameters = ScipyDirect._parameters + [ ('blocks', 'dict', None, True, """The description of blocks: ``{block_name1 : [variable_name1, ...], ...}``."""), ('function', 'callable', None, True, 'The user defined function.'), ] def __init__(self, conf, problem, **kwargs): from sfepy.discrete.state import State ScipyDirect.__init__(self, conf, **kwargs) equations = problem.equations aux_state = State(equations.variables) conf.idxs = {} for bk, bv in conf.blocks.iteritems(): aux_state.fill(0.0) for jj in bv: idx = equations.variables.di.indx[jj] aux_state.vec[idx] = nm.nan aux_state.apply_ebc() vec0 = aux_state.get_reduced() conf.idxs[bk] = nm.where(nm.isnan(vec0))[0] @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): mtxi= self.orig_conf.idxs mtxslc_s = {} mtxslc_f = {} nn = {} for ik, iv in mtxi.iteritems(): ptr = 0 nn[ik] = len(iv) mtxslc_s[ik] = [] mtxslc_f[ik] = [] while ptr < nn[ik]: idx0 = iv[ptr:] idxrange = nm.arange(idx0[0], idx0[0] + len(idx0)) aux = nm.where(idx0 == idxrange)[0] mtxslc_s[ik].append(slice(ptr + aux[0], ptr + aux[-1] + 1)) mtxslc_f[ik].append(slice(idx0[aux][0], idx0[aux][-1] + 1)) ptr += aux[-1] + 1 mtxs = {} rhss = {} ress = {} get_sub = mtx._get_submatrix for ir in mtxi.iterkeys(): rhss[ir] = nm.zeros((nn[ir],), dtype=nm.float64) ress[ir] = nm.zeros((nn[ir],), dtype=nm.float64) for jr, idxr in enumerate(mtxslc_f[ir]): rhss[ir][mtxslc_s[ir][jr]] = rhs[idxr] for ic in mtxi.iterkeys(): mtxid = '%s%s' % (ir, ic) mtxs[mtxid] = nm.zeros((nn[ir], nn[ic]), dtype=nm.float64) for jr, idxr in enumerate(mtxslc_f[ir]): for jc, idxc in enumerate(mtxslc_f[ic]): iir = mtxslc_s[ir][jr] iic = mtxslc_s[ic][jc] mtxs[mtxid][iir, iic] = get_sub(idxr, idxc).todense() self.orig_conf.function(ress, mtxs, rhss, nn) res = nm.zeros_like(rhs) for ir in mtxi.iterkeys(): for jr, idxr in enumerate(mtxslc_f[ir]): res[idxr] = ress[ir][mtxslc_s[ir][jr]] return res def _presolve(self): if hasattr(self, 'presolve'): return self.presolve else: return self.conf.presolve class SchurComplement(SchurGeneralized): r""" Schur complement. Solution of the linear system .. math:: \left[ \begin{array}{cc} A & B \\ C & D \end{array} \right] \cdot \left[ \begin{array}{c} u \\ v \end{array} \right] = \left[ \begin{array}{c} f \\ g \end{array} \right] is obtained by solving the following equation: .. math:: (D - C A^{-1} B) \cdot v = g - C A^{-1} f variable(s) :math:`u` are specified in "eliminate" list, variable(s) :math:`v` are specified in "keep" list, See: http://en.wikipedia.org/wiki/Schur_complement """ name = 'ls.schur_complement' __metaclass__ = SolverMeta _parameters = ScipyDirect._parameters + [ ('eliminate', 'list', None, True, 'The list of variables to eliminate.'), ('keep', 'list', None, True, 'The list of variables to keep.'), ] @staticmethod def schur_fun(res, mtx, rhs, nn): import scipy.sparse as scs import scipy.sparse.linalg as sls invA = sls.splu(scs.csc_matrix(mtx['11'])) invAB = nm.zeros_like(mtx['12']) for j, b in enumerate(mtx['12'].T): invAB[:,j] = invA.solve(b) invAf = invA.solve(rhs['1']) spC = scs.csc_matrix(mtx['21']) k_rhs = rhs['2'] - spC * invAf res['2'] = sls.spsolve(scs.csc_matrix(mtx['22'] - spC * invAB), k_rhs) res['1'] = invAf - nm.dot(invAB, res['2']) def __init__(self, conf, **kwargs): get = conf.get conf.blocks = {'1': get('eliminate', None, 'missing "eliminate" in options!'), '2': get('keep', None, 'missing "keep" in options!'),} conf.function = SchurComplement.schur_fun SchurGeneralized.__init__(self, conf, **kwargs) class MultiProblem(ScipyDirect): r""" Conjugate multiple problems. Allows to define conjugate multiple problems. """ name = 'ls.cm_pb' __metaclass__ = SolverMeta _parameters = ScipyDirect._parameters + [ ('others', 'list', None, True, 'The list of auxiliary problem definition files.'), ('coupling_variables', 'list', None, True, 'The list of coupling variables.'), ] def __init__(self, conf, problem, **kwargs): from sfepy.discrete.state import State from sfepy.discrete import Problem from sfepy.base.conf import ProblemConf, get_standard_keywords from scipy.spatial import cKDTree as KDTree ScipyDirect.__init__(self, conf, **kwargs) # init subproblems pb_vars = problem.get_variables() # get "master" DofInfo and last index pb_adi_indx = problem.equations.variables.adi.indx self.adi_indx = pb_adi_indx.copy() last_indx = -1 for ii in self.adi_indx.itervalues(): last_indx = nm.max([last_indx, ii.stop]) # coupling variables self.cvars_to_pb = {} for jj in conf.coupling_variables: self.cvars_to_pb[jj] = [None, None] if jj in pb_vars.names: if pb_vars[jj].dual_var_name is not None: self.cvars_to_pb[jj][0] = -1 else: self.cvars_to_pb[jj][1] = -1 # init subproblems self.subpb = [] required, other = get_standard_keywords() master_prefix = output.get_output_prefix() for ii, ifname in enumerate(conf.others): sub_prefix = master_prefix[:-1] + '-sub%d:' % (ii + 1) output.set_output_prefix(sub_prefix) kwargs['master_problem'] = problem confi = ProblemConf.from_file(ifname, required, other, define_args=kwargs) pbi = Problem.from_conf(confi, init_equations=True) sti = State(pbi.equations.variables) pbi.equations.set_data(None, ignore_unknown=True) pbi.time_update() pbi.update_materials() sti.apply_ebc() pbi_vars = pbi.get_variables() output.set_output_prefix(master_prefix) self.subpb.append([pbi, sti, None]) # append "slave" DofInfo for jj in pbi_vars.names: if not(pbi_vars[jj].is_state()): continue didx = pbi.equations.variables.adi.indx[jj] ndof = didx.stop - didx.start if jj in self.adi_indx: if ndof != \ (self.adi_indx[jj].stop - self.adi_indx[jj].start): raise ValueError('DOFs do not match!') else: self.adi_indx.update({ jj: slice(last_indx, last_indx + ndof, None)}) last_indx += ndof for jj in conf.coupling_variables: if jj in pbi_vars.names: if pbi_vars[jj].dual_var_name is not None: self.cvars_to_pb[jj][0] = ii else: self.cvars_to_pb[jj][1] = ii self.subpb.append([problem, None, None]) self.cvars_to_pb_map = {} for varname, pbs in self.cvars_to_pb.iteritems(): # match field nodes coors = [] for ii in pbs: pbi = self.subpb[ii][0] pbi_vars = pbi.get_variables() fcoors = pbi_vars[varname].field.coors dc = nm.abs(nm.max(fcoors, axis=0)\ - nm.min(fcoors, axis=0)) ax = nm.where(dc > 1e-9)[0] coors.append(fcoors[:,ax]) if len(coors[0]) != len(coors[1]): raise ValueError('number of nodes does not match!') kdtree = KDTree(coors[0]) map_12 = kdtree.query(coors[1])[1] pbi1 = self.subpb[pbs[0]][0] pbi1_vars = pbi1.get_variables() eq_map_1 = pbi1_vars[varname].eq_map pbi2 = self.subpb[pbs[1]][0] pbi2_vars = pbi2.get_variables() eq_map_2 = pbi2_vars[varname].eq_map dpn = eq_map_2.dpn nnd = map_12.shape[0] map_12_nd = nm.zeros((nnd * dpn,), dtype=nm.int32) if dpn > 1: for ii in range(dpn): map_12_nd[ii::dpn] = map_12 * dpn + ii else: map_12_nd = map_12 idx = nm.where(eq_map_2.eq >= 0)[0] self.cvars_to_pb_map[varname] = eq_map_1.eq[map_12[idx]] def sparse_submat(self, Ad, Ar, Ac, gr, gc, S): """ A[gr,gc] = S """ if type(gr) is slice: gr = nm.arange(gr.start, gr.stop) if type(gc) is slice: gc = nm.arange(gc.start, gc.stop) for ii, lrow in enumerate(S): m = lrow.indices.shape[0] idxrow = nm.ones((m,), dtype=nm.int32) * gr[ii] Ar = nm.hstack([Ar, idxrow]) Ac = nm.hstack([Ac, gc[lrow.indices]]) Ad = nm.hstack([Ad, lrow.data]) return Ad, Ar, Ac @standard_call def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): max_indx = 0 hst = nm.hstack for ii in self.adi_indx.itervalues(): max_indx = nm.max([max_indx, ii.stop]) new_rhs = nm.zeros((max_indx,), dtype=rhs.dtype) new_rhs[:rhs.shape[0]] = rhs # copy "master" matrices pbi = self.subpb[-1][0] adi_indxi = pbi.equations.variables.adi.indx mtxc = mtx.tocsc() aux_data = nm.array([], dtype=mtxc.dtype) aux_rows = nm.array([], dtype=nm.int32) aux_cols = nm.array([], dtype=nm.int32) for jk, jv in adi_indxi.iteritems(): if jk in self.cvars_to_pb: if not(self.cvars_to_pb[jk][0] == -1): continue gjv = self.adi_indx[jk] ii = gjv.start for jj in nm.arange(jv.start, jv.stop): ptr = mtxc.indptr[jj] nn = mtxc.indptr[jj + 1] - ptr sl = slice(ptr, ptr + nn, None) aux_data = hst([aux_data, mtxc.data[sl]]) aux_rows = hst([aux_rows, mtxc.indices[sl]]) aux_cols = hst([aux_cols, nm.ones((nn,), dtype=nm.int32) * ii]) ii += 1 # copy "slave" (sub)matricies mtxs = [] for kk, (pbi, sti0, _) in enumerate(self.subpb[:-1]): x0i = sti0.get_reduced() evi = pbi.get_evaluator() mtxi = evi.eval_tangent_matrix(x0i, mtx=pbi.mtx_a) rhsi = evi.eval_residual(x0i) mtxs.append(mtxi) adi_indxi = pbi.equations.variables.adi.indx for ik, iv in adi_indxi.iteritems(): if ik in self.cvars_to_pb: if not(self.cvars_to_pb[ik][0] == kk): continue giv = self.adi_indx[ik] for jk, jv in adi_indxi.iteritems(): gjv = self.adi_indx[jk] if jk in self.cvars_to_pb: if not(self.cvars_to_pb[jk][0] == kk): continue aux_data, aux_rows, aux_cols =\ self.sparse_submat(aux_data, aux_rows, aux_cols, giv, gjv, mtxi[iv, jv]) new_rhs[giv] = rhsi[iv] mtxs.append(mtx) # copy "coupling" (sub)matricies for varname, pbs in self.cvars_to_pb.iteritems(): idx = pbs[1] pbi = self.subpb[idx][0] mtxi = mtxs[idx] gjv = self.adi_indx[varname] jv = pbi.equations.variables.adi.indx[varname] adi_indxi = pbi.equations.variables.adi.indx for ik, iv in adi_indxi.iteritems(): if ik == varname: continue giv = self.adi_indx[ik] aux_mtx = mtxi[iv,:].tocsc() for ll, jj in enumerate(nm.arange(jv.start, jv.stop)): ptr = aux_mtx.indptr[jj] nn = aux_mtx.indptr[jj + 1] - ptr if nn < 1: continue sl = slice(ptr, ptr + nn, None) aux_data = hst([aux_data, aux_mtx.data[sl]]) aux_rows = hst([aux_rows, aux_mtx.indices[sl] + giv.start]) jjr = gjv.start + self.cvars_to_pb_map[varname][ll] aux_cols = hst([aux_cols, nm.ones((nn,), dtype=nm.int32) * jjr]) # create new matrix new_mtx = sps.coo_matrix((aux_data, (aux_rows, aux_cols))).tocsr() res0 = ScipyDirect.__call__(self, new_rhs, mtx=new_mtx) res = [] for kk, (pbi, sti0, _) in enumerate(self.subpb): adi_indxi = pbi.equations.variables.adi.indx max_indx = 0 for ii in adi_indxi.itervalues(): max_indx = nm.max([max_indx, ii.stop]) resi = nm.zeros((max_indx,), dtype=res0.dtype) for ik, iv in adi_indxi.iteritems(): giv = self.adi_indx[ik] if ik in self.cvars_to_pb: if pbi is self.subpb[self.cvars_to_pb[ik][1]][0]: giv = self.cvars_to_pb_map[ik] + giv.start resi[iv] = res0[giv] if sti0 is not None: sti = sti0.copy() sti.set_reduced(-resi) pbi.setup_default_output() pbi.save_state(pbi.get_output_name(), sti) self.subpb[kk][-1] = sti res.append(resi) return res[-1] def _presolve(self): if hasattr(self, 'presolve'): return self.presolve else: return self.conf.presolve sfepy-release_2015.1/sfepy/solvers/nls.py000066400000000000000000000351411247364230400204320ustar00rootroot00000000000000""" Nonlinear solvers. """ import time import numpy as nm import numpy.linalg as nla from sfepy.base.base import output, get_default, debug, Struct from sfepy.base.log import Log, get_logging_conf from sfepy.solvers.solvers import SolverMeta, NonlinearSolver def check_tangent_matrix(conf, vec_x0, fun, fun_grad): """ Verify the correctness of the tangent matrix as computed by `fun_grad()` by comparing it with its finite difference approximation evaluated by repeatedly calling `fun()` with `vec_x0` items perturbed by a small delta. """ vec_x = vec_x0.copy() delta = conf.delta vec_r = fun(vec_x) # Update state. mtx_a0 = fun_grad(vec_x) mtx_a = mtx_a0.tocsc() mtx_d = mtx_a.copy() mtx_d.data[:] = 0.0 vec_dx = nm.zeros_like(vec_r) for ic in range(vec_dx.shape[0]): vec_dx[ic] = delta xx = vec_x.copy() - vec_dx vec_r1 = fun(xx) vec_dx[ic] = -delta xx = vec_x.copy() - vec_dx vec_r2 = fun(xx) vec_dx[ic] = 0.0; vec = 0.5 * (vec_r2 - vec_r1) / delta ir = mtx_a.indices[mtx_a.indptr[ic]:mtx_a.indptr[ic+1]] mtx_d.data[mtx_a.indptr[ic]:mtx_a.indptr[ic+1]] = vec[ir] vec_r = fun(vec_x) # Restore. tt = time.clock() output(mtx_a, '.. analytical') output(mtx_d, '.. difference') import sfepy.base.plotutils as plu plu.plot_matrix_diff(mtx_d, mtx_a, delta, ['difference', 'analytical'], conf.check) return time.clock() - tt def conv_test(conf, it, err, err0): """ Nonlinear solver convergence test. Parameters ---------- conf : Struct instance The nonlinear solver configuration. it : int The current iteration. err : float The current iteration error. err0 : float The initial error. Returns ------- status : int The convergence status: -1 = no convergence (yet), 0 = solver converged - tolerances were met, 1 = max. number of iterations reached. """ status = -1 if (abs(err0) < conf.macheps): err_r = 0.0 else: err_r = err / err0 output('nls: iter: %d, residual: %e (rel: %e)' % (it, err, err_r)) conv_a = err < conf.eps_a if it > 0: conv_r = err_r < conf.eps_r if conv_a and conv_r: status = 0 elif (conf.get('eps_mode', '') == 'or') and (conv_a or conv_r): status = 0 else: if conv_a: status = 0 if (status == -1) and (it >= conf.i_max): status = 1 return status class Newton(NonlinearSolver): r""" Solves a nonlinear system :math:`f(x) = 0` using the Newton method with backtracking line-search, starting with an initial guess :math:`x^0`. """ name = 'nls.newton' __metaclass__ = SolverMeta _parameters = [ ('i_max', 'int', 1, False, 'The maximum number of iterations.'), ('eps_a', 'float', 1e-10, False, 'The absolute tolerance for the residual, i.e. :math:`||f(x^i)||`.'), ('eps_r', 'float', 1.0, False, """The relative tolerance for the residual, i.e. :math:`||f(x^i)|| / ||f(x^0)||`."""), ('eps_mode', "'and' or 'or'", 'and', False, """The logical operator to use for combining the absolute and relative tolerances."""), ('macheps', 'float', nm.finfo(nm.float64).eps, False, 'The float considered to be machine "zero".'), ('lin_red', 'float', 1.0, False, """The linear system solution error should be smaller than (`eps_a` * `lin_red`), otherwise a warning is printed."""), ('lin_precision', 'float or None', None, False, """If not None, the linear system solution tolerances are set in each nonlinear iteration relative to the current residual norm by the `lin_precision` factor. Ignored for direct linear solvers."""), ('ls_on', 'float', 0.99999, False, """Start the backtracking line-search by reducing the step, if :math:`||f(x^i)|| / ||f(x^{i-1})||` is larger than `ls_on`."""), ('ls_red', '0.0 < float < 1.0', 0.1, False, 'The step reduction factor in case of correct residual assembling.'), ('ls_red_warp', '0.0 < float < 1.0', 0.001, False, """The step reduction factor in case of failed residual assembling (e.g. the "warp violation" error caused by a negative volume element resulting from too large deformations)."""), ('ls_min', '0.0 < float < 1.0', 1e-5, False, 'The minimum step reduction factor.'), ('give_up_warp', 'bool', False, False, 'If True, abort on the "warp violation" error.'), ('check', '0, 1 or 2', 0, False, """If >= 1, check the tangent matrix using finite differences. If 2, plot the resulting sparsity patterns."""), ('delta', 'float', 1e-6, False, r"""If `check >= 1`, the finite difference matrix is taken as :math:`A_{ij} = \frac{f_i(x_j + \delta) - f_i(x_j - \delta)}{2 \delta}`."""), ('log', 'dict or None', None, False, """If not None, log the convergence according to the configuration in the following form: ``{'text' : 'log.txt', 'plot' : 'log.pdf'}``. Each of the dict items can be None."""), ('is_linear', 'bool', False, False, 'If True, the problem is considered to be linear.'), ] def __init__(self, conf, **kwargs): NonlinearSolver.__init__(self, conf, **kwargs) conf = self.conf log = get_logging_conf(conf) conf.log = log = Struct(name='log_conf', **log) conf.is_any_log = (log.text is not None) or (log.plot is not None) if conf.is_any_log: self.log = Log([[r'$||r||$'], ['iteration']], xlabels=['', 'all iterations'], ylabels=[r'$||r||$', 'iteration'], yscales=['log', 'linear'], is_plot=conf.log.plot is not None, log_filename=conf.log.text, formats=[['%.8e'], ['%d']]) else: self.log = None def __call__(self, vec_x0, conf=None, fun=None, fun_grad=None, lin_solver=None, iter_hook=None, status=None): """ Nonlinear system solver call. Solves a nonlinear system :math:`f(x) = 0` using the Newton method with backtracking line-search, starting with an initial guess :math:`x^0`. Parameters ---------- vec_x0 : array The initial guess vector :math:`x_0`. conf : Struct instance, optional The solver configuration parameters, fun : function, optional The function :math:`f(x)` whose zero is sought - the residual. fun_grad : function, optional The gradient of :math:`f(x)` - the tangent matrix. lin_solver : LinearSolver instance, optional The linear solver for each nonlinear iteration. iter_hook : function, optional User-supplied function to call before each iteration. status : dict-like, optional The user-supplied object to hold convergence statistics. Notes ----- * The optional parameters except `iter_hook` and `status` need to be given either here or upon `Newton` construction. * Setting `conf.is_linear == True` means a pre-assembled and possibly pre-solved matrix. This is mostly useful for linear time-dependent problems. """ conf = get_default(conf, self.conf) fun = get_default(fun, self.fun) fun_grad = get_default(fun_grad, self.fun_grad) lin_solver = get_default(lin_solver, self.lin_solver) iter_hook = get_default(iter_hook, self.iter_hook) status = get_default(status, self.status) ls_eps_a, ls_eps_r = lin_solver.get_tolerance() eps_a = get_default(ls_eps_a, 1.0) eps_r = get_default(ls_eps_r, 1.0) lin_red = conf.eps_a * conf.lin_red time_stats = {} vec_x = vec_x0.copy() vec_x_last = vec_x0.copy() vec_dx = None if self.log is not None: self.log.plot_vlines(color='r', linewidth=1.0) err = err0 = -1.0 err_last = -1.0 it = 0 while 1: if iter_hook is not None: iter_hook(self, vec_x, it, err, err0) ls = 1.0 vec_dx0 = vec_dx; while 1: tt = time.clock() try: vec_r = fun(vec_x) except ValueError: if (it == 0) or (ls < conf.ls_min): output('giving up!') raise else: ok = False else: ok = True time_stats['rezidual'] = time.clock() - tt if ok: try: err = nla.norm(vec_r) except: output('infs or nans in the residual:', vec_r) output(nm.isfinite(vec_r).all()) debug() if self.log is not None: self.log(err, it) if it == 0: err0 = err; break if err < (err_last * conf.ls_on): break red = conf.ls_red; output('linesearch: iter %d, (%.5e < %.5e) (new ls: %e)' % (it, err, err_last * conf.ls_on, red * ls)) else: # Failure. if conf.give_up_warp: output('giving up!') break red = conf.ls_red_warp; output('rezidual computation failed for iter %d' ' (new ls: %e)!' % (it, red * ls)) if ls < conf.ls_min: output('linesearch failed, continuing anyway') break ls *= red; vec_dx = ls * vec_dx0; vec_x = vec_x_last.copy() - vec_dx # End residual loop. if self.log is not None: self.log.plot_vlines([1], color='g', linewidth=0.5) err_last = err; vec_x_last = vec_x.copy() condition = conv_test(conf, it, err, err0) if condition >= 0: break if (not ok) and conf.give_up_warp: condition = 2 break tt = time.clock() if not conf.is_linear: mtx_a = fun_grad(vec_x) else: mtx_a = fun_grad('linear') time_stats['matrix'] = time.clock() - tt if conf.check: tt = time.clock() wt = check_tangent_matrix(conf, vec_x, fun, fun_grad) time_stats['check'] = time.clock() - tt - wt if conf.lin_precision is not None: if ls_eps_a is not None: eps_a = max(err * conf.lin_precision, ls_eps_a) elif ls_eps_r is not None: eps_r = max(conf.lin_precision, ls_eps_r) lin_red = max(eps_a, err * eps_r) if conf.verbose: output('solving linear system...') tt = time.clock() vec_dx = lin_solver(vec_r, x0=vec_x, eps_a=eps_a, eps_r=eps_r, mtx=mtx_a) time_stats['solve'] = time.clock() - tt if conf.verbose: output('...done') for kv in time_stats.iteritems(): output('%10s: %7.2f [s]' % kv) vec_e = mtx_a * vec_dx - vec_r lerr = nla.norm(vec_e) if lerr > lin_red: output('warning: linear system solution precision is lower') output('then the value set in solver options! (err = %e < %e)' % (lerr, lin_red)) vec_x -= vec_dx it += 1 if status is not None: status['time_stats'] = time_stats status['err0'] = err0 status['err'] = err status['n_iter'] = it status['condition'] = condition if conf.log.plot is not None: if self.log is not None: self.log(save_figure=conf.log.plot) return vec_x class ScipyBroyden(NonlinearSolver): """ Interface to Broyden and Anderson solvers from ``scipy.optimize``. """ name = 'nls.scipy_broyden_like' __metaclass__ = SolverMeta _parameters = [ ('method', 'str', 'anderson', False, 'The name of the solver in ``scipy.optimize``.'), ('i_max', 'int', 10, False, 'The maximum number of iterations.'), ('alpha', 'float', 0.9, False, 'See ``scipy.optimize``.'), ('M', 'float', 5, False, 'See ``scipy.optimize``.'), ('f_tol', 'float', 1e-6, False, 'See ``scipy.optimize``.'), ('w0', 'float', 0.1, False, 'See ``scipy.optimize``.'), ] def __init__(self, conf, **kwargs): NonlinearSolver.__init__(self, conf, **kwargs) self.set_method(self.conf) def set_method(self, conf): import scipy.optimize as so try: solver = getattr(so, conf.method) except AttributeError: output('scipy solver %s does not exist!' % conf.method) output('using broyden3 instead') solver = so.broyden3 self.solver = solver def __call__(self, vec_x0, conf=None, fun=None, fun_grad=None, lin_solver=None, iter_hook=None, status=None): if conf is not None: self.set_method(conf) else: conf = self.conf fun = get_default(fun, self.fun) status = get_default(status, self.status) tt = time.clock() kwargs = {'iter' : conf.i_max, 'alpha' : conf.alpha, 'verbose' : conf.verbose} if conf.method == 'broyden_generalized': kwargs.update({'M' : conf.M}) elif conf.method in ['anderson', 'anderson2']: kwargs.update({'M' : conf.M, 'w0' : conf.w0}) if conf.method in ['anderson', 'anderson2', 'broyden', 'broyden2' , 'newton_krylov']: kwargs.update({'f_tol' : conf.f_tol }) vec_x = self.solver(fun, vec_x0, **kwargs) vec_x = nm.asarray(vec_x) if status is not None: status['time_stats'] = time.clock() - tt return vec_x sfepy-release_2015.1/sfepy/solvers/optimize.py000066400000000000000000000315651247364230400215040ustar00rootroot00000000000000import time import numpy as nm import numpy.linalg as nla from sfepy.base.base import output, get_default, pause, Struct from sfepy.base.log import Log, get_logging_conf from sfepy.solvers.solvers import SolverMeta, OptimizationSolver import scipy.optimize as sopt import scipy.optimize.linesearch as linesearch def conv_test(conf, it, of, of0, ofg_norm=None): """ Returns ------- flag : int * -1 ... continue * 0 ... small OF -> stop * 1 ... i_max reached -> stop * 2 ... small OFG -> stop * 3 ... small relative decrase of OF """ status = -1 output('opt: iter: %d, of: %e (||ofg||: %e)' % (it, of, ofg_norm)) if (abs(of) < conf.eps_of): status = 0 elif ofg_norm and (ofg_norm < conf.eps_ofg): status = 2 elif (it > 0) and (abs(of0 - of) < (conf.eps_rd * abs(of0))): status = 3 if (status == -1) and (it >= conf.i_max): status = 1 return status def wrap_function(function, args): ncalls = [0] times = [] def function_wrapper(x): ncalls[0] += 1 tt = time.time() out = function(x, *args) tt2 = time.time() if tt2 < tt: raise RuntimeError, '%f >= %f' % (tt, tt2) times.append(tt2 - tt) return out return ncalls, times, function_wrapper def check_gradient(xit, aofg, fn_of, delta, check): dofg = nm.zeros_like(aofg) xd = xit.copy() for ii in xrange(xit.shape[0]): xd[ii] = xit[ii] + delta ofp = fn_of(xd) xd[ii] = xit[ii] - delta ofm = fn_of(xd) xd[ii] = xit[ii] dofg[ii] = 0.5 * (ofp - ofm) / delta output('**********', ii, aofg[ii], dofg[ii]) diff = abs(aofg - dofg) aux = nm.concatenate((aofg[:,nm.newaxis], dofg[:,nm.newaxis], diff[:,nm.newaxis]), 1) output(aux) output(nla.norm(diff, nm.Inf)) aofg.tofile('aofg.txt', ' ') dofg.tofile('dofg.txt', ' ') diff.tofile('diff.txt', ' ') if check == 2: import pylab pylab.plot(aofg) pylab.plot(dofg) pylab.legend(('analytical', 'finite difference')) pylab.show() pause('gradient checking done') class FMinSteepestDescent(OptimizationSolver): """ Steepest descent optimization solver. """ name = 'opt.fmin_sd' __metaclass__ = SolverMeta _parameters = [ ('i_max', 'int', 10, False, 'The maximum number of iterations.'), ('eps_rd', 'float', 1e-5, False, 'The relative delta of the objective function.'), ('eps_of', 'float', 1e-4, False, 'The tolerance for the objective function.'), ('eps_ofg', 'float', 1e-8, False, 'The tolerance for the objective function gradient.'), ('norm', 'numpy norm', nm.Inf, False, 'The norm to be used.'), ('ls', 'bool', True, False, 'If True, use a line-search.'), ('ls_method', "{'backtracking', 'full'}", 'backtracking', False, 'The line-search method.'), ('ls_on', 'float', 0.99999, False, """Start the backtracking line-search by reducing the step, if :math:`||f(x^i)|| / ||f(x^{i-1})||` is larger than `ls_on`."""), ('ls0', '0.0 < float < 1.0', 1.0, False, 'The initial step.'), ('ls_red', '0.0 < float < 1.0', 0.5, False, 'The step reduction factor in case of correct residual assembling.'), ('ls_red_warp', '0.0 < float < 1.0', 0.1, False, """The step reduction factor in case of failed residual assembling (e.g. the "warp violation" error caused by a negative volume element resulting from too large deformations)."""), ('ls_min', '0.0 < float < 1.0', 1e-5, False, 'The minimum step reduction factor.'), ('check', '0, 1 or 2', 0, False, """If >= 1, check the tangent matrix using finite differences. If 2, plot the resulting sparsity patterns."""), ('delta', 'float', 1e-6, False, r"""If `check >= 1`, the finite difference matrix is taken as :math:`A_{ij} = \frac{f_i(x_j + \delta) - f_i(x_j - \delta)}{2 \delta}`."""), ('output', 'function', None, False, """If given, use it instead of :func:`output() ` function."""), ('yscales', 'list of str', ['linear', 'log', 'log', 'linear'], False, 'The list of four convergence log subplot scales.'), ('log', 'dict or None', None, False, """If not None, log the convergence according to the configuration in the following form: ``{'text' : 'log.txt', 'plot' : 'log.pdf'}``. Each of the dict items can be None."""), ] def __init__(self, conf, **kwargs): OptimizationSolver.__init__(self, conf, **kwargs) conf = self.conf log = get_logging_conf(conf) conf.log = log = Struct(name='log_conf', **log) conf.is_any_log = (log.text is not None) or (log.plot is not None) if conf.is_any_log: self.log = Log([[r'$||\Psi||$'], [r'$||\nabla \Psi||$'], [r'$\alpha$'], ['iteration']], xlabels=['', '', 'all iterations', 'all iterations'], yscales=conf.yscales, is_plot=conf.log.plot is not None, log_filename=conf.log.text, formats=[['%.8e'], ['%.3e'], ['%.3e'], ['%d']]) else: self.log = None def __call__(self, x0, conf=None, obj_fun=None, obj_fun_grad=None, status=None, obj_args=None): conf = get_default(conf, self.conf) obj_fun = get_default(obj_fun, self.obj_fun) obj_fun_grad = get_default(obj_fun_grad, self.obj_fun_grad) status = get_default(status, self.status) obj_args = get_default(obj_args, self.obj_args) if conf.output: globals()['output'] = conf.output output('entering optimization loop...') nc_of, tt_of, fn_of = wrap_function(obj_fun, obj_args) nc_ofg, tt_ofg, fn_ofg = wrap_function(obj_fun_grad, obj_args) time_stats = {'of' : tt_of, 'ofg': tt_ofg, 'check' : []} ofg = None it = 0 xit = x0.copy() while 1: of = fn_of(xit) if it == 0: of0 = ofit0 = of_prev = of of_prev_prev = of + 5000.0 if ofg is None: ofg = fn_ofg(xit) if conf.check: tt = time.clock() check_gradient(xit, ofg, fn_of, conf.delta, conf.check) time_stats['check'].append(time.clock() - tt) ofg_norm = nla.norm(ofg, conf.norm) ret = conv_test(conf, it, of, ofit0, ofg_norm) if ret >= 0: break ofit0 = of ## # Backtrack (on errors). alpha = conf.ls0 can_ls = True while 1: xit2 = xit - alpha * ofg aux = fn_of(xit2) if self.log is not None: self.log(of, ofg_norm, alpha, it) if aux is None: alpha *= conf.ls_red_warp can_ls = False output('warp: reducing step (%f)' % alpha) elif conf.ls and conf.ls_method == 'backtracking': if aux < of * conf.ls_on: break alpha *= conf.ls_red output('backtracking: reducing step (%f)' % alpha) else: of_prev_prev = of_prev of_prev = aux break if alpha < conf.ls_min: if aux is None: raise RuntimeError, 'giving up...' output('linesearch failed, continuing anyway') break # These values are modified by the line search, even if it fails of_prev_bak = of_prev of_prev_prev_bak = of_prev_prev if conf.ls and can_ls and conf.ls_method == 'full': output('full linesearch...') alpha, fc, gc, of_prev, of_prev_prev, ofg1 = \ linesearch.line_search(fn_of,fn_ofg,xit, -ofg,ofg,of_prev,of_prev_prev, c2=0.4) if alpha is None: # line search failed -- use different one. alpha, fc, gc, of_prev, of_prev_prev, ofg1 = \ sopt.line_search(fn_of,fn_ofg,xit, -ofg,ofg,of_prev_bak, of_prev_prev_bak) if alpha is None or alpha == 0: # This line search also failed to find a better # solution. ret = 3 break output(' -> alpha: %.8e' % alpha) else: if conf.ls_method == 'full': output('full linesearch off (%s and %s)' % (conf.ls, can_ls)) ofg1 = None if self.log is not None: self.log.plot_vlines(color='g', linewidth=0.5) xit = xit - alpha * ofg if ofg1 is None: ofg = None else: ofg = ofg1.copy() for key, val in time_stats.iteritems(): if len(val): output('%10s: %7.2f [s]' % (key, val[-1])) it = it + 1 output('status: %d' % ret) output('initial value: %.8e' % of0) output('current value: %.8e' % of) output('iterations: %d' % it) output('function evaluations: %d in %.2f [s]' % (nc_of[0], nm.sum(time_stats['of']))) output('gradient evaluations: %d in %.2f [s]' % (nc_ofg[0], nm.sum(time_stats['ofg']))) if self.log is not None: self.log(of, ofg_norm, alpha, it) if conf.log.plot is not None: self.log(save_figure=conf.log.plot, finished=True) else: self.log(finished=True) if status is not None: status['log'] = self.log status['status'] = status status['of0'] = of0 status['of'] = of status['it'] = it status['nc_of'] = nc_of[0] status['nc_ofg'] = nc_ofg[0] status['time_stats'] = time_stats return xit class ScipyFMinSolver(OptimizationSolver): """ Interface to SciPy optimization solvers scipy.optimize.fmin_*. """ name = 'nls.scipy_fmin_like' __metaclass__ = SolverMeta _i_max_name = { 'fmin' : 'maxiter', 'fmin_bfgs' : 'maxiter', 'fmin_cg' : 'maxiter', 'fmin_cobyla' : 'maxfun', 'fmin_l_bfgs_b' : 'maxfun', 'fmin_ncg' : 'maxiter', 'fmin_powell' : 'maxiter', 'fmin_slsqp' : 'iter', 'fmin_tnc' : 'maxfun', } _has_grad = ('fmin_bfgs', 'fmin_cg', 'fmin_l_bfgs_b', 'fmin_ncg', 'fmin_slsqp', 'fmin_tnc') _parameters = [ ('method', '{%s}' % ', '.join(sorted(repr(ii) for ii in _i_max_name.keys())), 'fmin', False, 'The actual optimization method to use.'), ('i_max', 'int', 10, False, 'The maximum number of iterations.'), ('*', '*', None, False, 'Additional parameters supported by the method.'), ] def __init__(self, conf, **kwargs): OptimizationSolver.__init__(self, conf, **kwargs) self.set_method(self.conf) def set_method(self, conf): import scipy.optimize as so try: solver = getattr(so, conf.method) except AttributeError: raise ValueError('scipy solver %s does not exist!' % conf.method) self.solver = solver def __call__(self, x0, conf=None, obj_fun=None, obj_fun_grad=None, status=None, obj_args=None): import inspect if conf is not None: self.set_method(conf) else: conf = self.conf obj_fun = get_default(obj_fun, self.obj_fun) obj_fun_grad = get_default(obj_fun_grad, self.obj_fun_grad) status = get_default(status, self.status) obj_args = get_default(obj_args, self.obj_args) tt = time.clock() kwargs = {self._i_max_name[conf.method] : conf.i_max, 'args' : obj_args} if conf.method in self._has_grad: kwargs['fprime'] = obj_fun_grad if 'disp' in inspect.getargspec(self.solver)[0]: kwargs['disp'] = conf.verbose kwargs.update(self.build_solver_kwargs(conf)) out = self.solver(obj_fun, x0, **kwargs) if status is not None: status['time_stats'] = time.clock() - tt return out sfepy-release_2015.1/sfepy/solvers/oseen.py000066400000000000000000000321651247364230400207520ustar00rootroot00000000000000import time import numpy as nm import numpy.linalg as nla from sfepy.base.base import output, get_default, Struct from sfepy.base.log import Log, get_logging_conf from sfepy.solvers.solvers import SolverMeta, NonlinearSolver from nls import conv_test class StabilizationFunction(Struct): """ Definition of stabilization material function for the Oseen solver. Notes ----- - tau_red <= 1.0; if tau is None: tau = tau_red * delta - diameter mode: 'edge': longest edge 'volume': volume-based, 'max': max. of previous """ def __init__(self, name_map, gamma=None, delta=None, tau=None, tau_red=1.0, tau_mul=1.0, delta_mul=1.0, gamma_mul=1.0, diameter_mode='max'): Struct.__init__(self, name_map=name_map, gamma=gamma, delta=delta, tau=tau, tau_red=tau_red, tau_mul=tau_mul, delta_mul=delta_mul, gamma_mul=gamma_mul, diameter_mode=diameter_mode) def setup(self, problem): """ Setup common problem-dependent data. """ variables = problem.get_variables() ns = self.name_map # Indices to the state vector. ii = {} ii['u'] = variables.get_indx(ns['u']) ii['us'] = variables.get_indx(ns['u'], stripped=True) ii['ps'] = variables.get_indx(ns['p'], stripped=True) self.indices = ii materials = problem.get_materials() # The viscosity. fluid_mat = materials[ns['fluid']] self.viscosity = fluid_mat.function()[ns['viscosity']] # The Friedrich's constant. self.c_friedrichs = problem.domain.get_diameter() self.sigma = 1e-12 # 1 / dt. self.b_norm = 1.0 def get_maps(self): """ Get the maps of names and indices of variables in state vector. """ return self.name_map, self.indices def __call__(self, ts, coor, mode=None, term=None, problem=None, b_norm=None, **kwargs): """ The actual material function. """ if mode != 'qp': return if not hasattr(self, 'viscosity'): self.setup(problem) ns = self.name_map # Update stored b_norm. self.b_norm = get_default(b_norm, self.b_norm) output('|b|_max (mat_fun):', self.b_norm) gamma = self.viscosity + self.b_norm * self.c_friedrichs data = {} if self.gamma is None: _gamma = self.gamma_mul * gamma else: _gamma = nm.asarray(self.gamma_mul * self.gamma, dtype=nm.float64) _gamma = nm.tile(_gamma, (coor.shape[0], 1, 1)) if self.delta is None: # Element diameter modes. dm = {'edge': 0, 'volume': 1, 'max': 2}[self.diameter_mode] field = problem.fields[ns['velocity']] region = term.region diameters2 = [] for ig in term.iter_groups(): vg, _ = field.get_mapping(ig, region, term.integral, 'volume') cells = region.get_cells(ig) d2 = problem.domain.get_element_diameters(ig, cells, vg, dm) diameters2.append(d2) self.diameters2 = nm.concatenate(diameters2) val1 = min(1.0, 1.0 / self.sigma) val2 = self.sigma * self.c_friedrichs**2 val3 = ((self.b_norm**2) * min((self.c_friedrichs**2) / self.viscosity, 1.0 / self.sigma)) n_qp = coor.shape[0] / self.diameters2.shape[0] diameters2 = nm.repeat(self.diameters2, n_qp) diameters2.shape = diameters2.shape + (1, 1) _delta = self.delta_mul * val1 * diameters2 / (_gamma + val2 + val3) else: val = nm.asarray(self.delta_mul * self.delta, dtype=nm.float64) _delta = nm.tile(val, (coor.shape[0], 1, 1)) if self.tau is None: _tau = self.tau_red * _delta else: _tau = nm.asarray(self.tau_mul * self.tau, dtype=nm.float64) _tau = nm.tile(_tau, (coor.shape[0], 1, 1)) data[ns['gamma']] = _gamma data[ns['delta']] = _delta data[ns['tau']] = _tau return data def are_close(a, b, rtol=0.2, atol=1e-8): return False # return abs(a - b) <= max(atol, rtol * abs(b)) def scale_matrix(mtx, indx, factor): ptr0 = mtx.indptr[indx.start] ptr1 = mtx.indptr[indx.stop] mtx.data[ptr0:ptr1] *= factor class Oseen(NonlinearSolver): """ The Oseen solver for Navier-Stokes equations. """ name = 'nls.oseen' __metaclass__ = SolverMeta _parameters = [ ('stabil_mat', 'str', None, True, 'The name of stabilization material.'), ('adimensionalize', 'bool', False, False, 'If True, adimensionalize the problem (not implemented!).'), ('check_navier_stokes_rezidual', 'bool', False, False, 'If True, check the Navier-Stokes rezidual after the nonlinear loop.'), ('i_max', 'int', 1, False, 'The maximum number of iterations.'), ('eps_a', 'float', 1e-10, False, 'The absolute tolerance for the residual, i.e. :math:`||f(x^i)||`.'), ('eps_r', 'float', 1.0, False, """The relative tolerance for the residual, i.e. :math:`||f(x^i)|| / ||f(x^0)||`."""), ('macheps', 'float', nm.finfo(nm.float64).eps, False, 'The float considered to be machine "zero".'), ('lin_red', 'float', 1.0, False, """The linear system solution error should be smaller than (`eps_a` * `lin_red`), otherwise a warning is printed."""), ('lin_precision', 'float or None', None, False, """If not None, the linear system solution tolerances are set in each nonlinear iteration relative to the current residual norm by the `lin_precision` factor. Ignored for direct linear solvers."""), ] def __init__(self, conf, problem, **kwargs): NonlinearSolver.__init__(self, conf, **kwargs) conf = self.conf log = get_logging_conf(conf) conf.log = log = Struct(name='log_conf', **log) conf.is_any_log = (log.text is not None) or (log.plot is not None) conf.problem = problem conf = self.conf if conf.is_any_log: self.log = Log([[r'$||r||$'], ['iteration'], [r'$\gamma$', r'$\max(\delta)$', r'$\max(\tau)$']], xlabels=['', '', 'all iterations'], ylabels=[r'$||r||$', 'iteration', 'stabilization'], yscales=['log', 'linear', 'log'], is_plot=conf.log.plot is not None, log_filename=conf.log.text, formats=[['%.8e'], ['%d'], ['%.8e', '%.8e', '%.8e']]) else: self.log = None def __call__(self, vec_x0, conf=None, fun=None, fun_grad=None, lin_solver=None, status=None, problem=None): """ Oseen solver is problem-specific - it requires a Problem instance. """ conf = get_default(conf, self.conf) fun = get_default(fun, self.fun) fun_grad = get_default(fun_grad, self.fun_grad) lin_solver = get_default(lin_solver, self.lin_solver) status = get_default(status, self.status) problem = get_default(problem, conf.problem, '`problem` parameter needs to be set!') time_stats = {} stabil = problem.get_materials()[conf.stabil_mat] ns, ii = stabil.function.function.get_maps() variables = problem.get_variables() update_var = variables.set_data_from_state make_full_vec = variables.make_full_vec output('problem size:') output(' velocity: %s' % ii['us']) output(' pressure: %s' % ii['ps']) vec_x = vec_x0.copy() vec_x_prev = vec_x0.copy() vec_dx = None if self.log is not None: self.log.plot_vlines(color='r', linewidth=1.0) err0 = -1.0 it = 0 while 1: vec_x_prev_f = make_full_vec(vec_x_prev) update_var(ns['b'], vec_x_prev_f, ns['u']) vec_b = vec_x_prev_f[ii['u']] b_norm = nla.norm(vec_b, nm.inf) output('|b|_max: %.12e' % b_norm) vec_x_f = make_full_vec(vec_x) vec_u = vec_x_f[ii['u']] u_norm = nla.norm(vec_u, nm.inf) output('|u|_max: %.2e' % u_norm) stabil.function.set_extra_args(b_norm=b_norm) stabil.time_update(None, problem.equations, mode='force', problem=problem) max_pars = stabil.reduce_on_datas(lambda a, b: max(a, b.max())) output('stabilization parameters:') output(' gamma: %.12e' % max_pars[ns['gamma']]) output(' max(delta): %.12e' % max_pars[ns['delta']]) output(' max(tau): %.12e' % max_pars[ns['tau']]) if (not are_close(b_norm, 1.0)) and conf.adimensionalize: adimensionalize = True else: adimensionalize = False tt = time.clock() try: vec_r = fun(vec_x) except ValueError: ok = False else: ok = True time_stats['rezidual'] = time.clock() - tt if ok: err = nla.norm(vec_r) if it == 0: err0 = err; else: err += nla.norm(vec_dx) else: # Failure. output('rezidual computation failed for iter %d!' % it) raise RuntimeError('giving up...') if self.log is not None: self.log(err, it, max_pars[ns['gamma']], max_pars[ns['delta']], max_pars[ns['tau']]) condition = conv_test(conf, it, err, err0) if condition >= 0: break if adimensionalize: output('adimensionalizing') ## mat.viscosity = viscosity / b_norm ## vec_r[indx_us] /= b_norm tt = time.clock() try: mtx_a = fun_grad(vec_x) except ValueError: ok = False else: ok = True time_stats['matrix'] = time.clock() - tt if not ok: raise RuntimeError('giving up...') tt = time.clock() vec_dx = lin_solver(vec_r, x0=vec_x, mtx=mtx_a) time_stats['solve'] = time.clock() - tt vec_e = mtx_a * vec_dx - vec_r lerr = nla.norm(vec_e) if lerr > (conf.eps_a * conf.lin_red): output('linear system not solved! (err = %e)' % lerr) if adimensionalize: output('restoring pressure...') ## vec_dx[indx_ps] *= b_norm dx_norm = nla.norm(vec_dx) output('||dx||: %.2e' % dx_norm) for kv in time_stats.iteritems(): output('%10s: %7.2f [s]' % kv) vec_x_prev = vec_x.copy() vec_x -= vec_dx it += 1 if conf.check_navier_stokes_rezidual: t1 = '+ dw_div_grad.%s.%s(%s.viscosity, %s, %s)' \ % (ns['i2'], ns['omega'], ns['fluid'], ns['v'], ns['u']) # t2 = '+ dw_lin_convect.%s(%s, %s, %s)' % (ns['omega'], # ns['v'], b_name, ns['u']) t2 = '+ dw_convect.%s.%s(%s, %s)' % (ns['i2'], ns['omega'], ns['v'], ns['u']) t3 = '- dw_stokes.%s.%s(%s, %s)' % (ns['i1'], ns['omega'], ns['v'], ns['p']) t4 = 'dw_stokes.%s.%s(%s, %s)' % (ns['i1'], ns['omega'], ns['u'], ns['q']) equations = { 'balance' : ' '.join((t1, t2, t3)), 'incompressibility' : t4, } problem.set_equations(equations) try: vec_rns0 = fun(vec_x0) vec_rns = fun(vec_x) except ValueError: ok = False else: ok = True if not ok: output('Navier-Stokes rezidual computation failed!') err_ns = err_ns0 = None else: err_ns0 = nla.norm(vec_rns0) err_ns = nla.norm(vec_rns) output('Navier-Stokes rezidual0: %.8e' % err_ns0) output('Navier-Stokes rezidual : %.8e' % err_ns) output('b - u: %.8e' % nla.norm(vec_b - vec_u)) output(condition) else: err_ns = None if status is not None: status['time_stats'] = time_stats status['err0'] = err0 status['err'] = err status['err_ns'] = err_ns status['condition'] = condition if conf.log.plot is not None: if self.log is not None: self.log(save_figure=conf.log.plot) return vec_x sfepy-release_2015.1/sfepy/solvers/petsc_worker.py000077500000000000000000000024701247364230400223470ustar00rootroot00000000000000#!/usr/bin/env python """ PETSc solver worker process. """ import time import sys try: import petsc4py petsc4py.init(sys.argv) from petsc4py import PETSc except ImportError: pass def solve(): opts = PETSc.Options() mat_filename = opts.getString('-mtx', 'mtx.dat') rhs_filename = opts.getString('-rhs', 'rhs.dat') sol0_filename = opts.getString('-sol0', '') sol_filename = opts.getString('-sol', 'sol.dat') status_filename = opts.getString('-status', 'status.txt') view_mtx = PETSc.Viewer().createBinary(mat_filename, mode='r') view_rhs = PETSc.Viewer().createBinary(rhs_filename, mode='r') mtx = PETSc.Mat().load(view_mtx) rhs = PETSc.Vec().load(view_rhs) ksp = PETSc.KSP().create() ksp.setOperators(mtx) ksp.setFromOptions() if not sol0_filename: sol = rhs.duplicate() else: view_sol0 = PETSc.Viewer().createBinary(sol0_filename, mode='r') sol = PETSc.Vec().load(view_sol0) ksp.setInitialGuessNonzero(True) tt = time.clock() ksp.solve(rhs, sol) elapsed = time.clock() - tt view_sol = PETSc.Viewer().createBinary(sol_filename, mode='w') sol.view(view_sol) fd = open(status_filename, 'w') fd.write('%d %.2f' % (ksp.reason, elapsed)) fd.close() if __name__ == '__main__': solve() sfepy-release_2015.1/sfepy/solvers/semismooth_newton.py000066400000000000000000000256511247364230400234240ustar00rootroot00000000000000import time import numpy as nm import numpy.linalg as nla import scipy.sparse as sp from sfepy.base.base import output, get_default, debug from sfepy.solvers.solvers import SolverMeta from sfepy.solvers.nls import Newton, conv_test from sfepy.linalg import compose_sparse class SemismoothNewton(Newton): r""" The semi-smooth Newton method for solving problems of the following structure: .. math:: \begin{split} & F(y) = 0 \\ & A(y) \ge 0 \;,\ B(y) \ge 0 \;,\ \langle A(y), B(y) \rangle = 0 \end{split} The function :math:`F(y)` represents the smooth part of the problem. Regular step: :math:`y \leftarrow y - J(y)^{-1} \Phi(y)` Steepest descent step: :math:`y \leftarrow y - \beta J(y) \Phi(y)` Although ``fun_smooth_grad()`` computes the gradient of the smooth part only, it should return the global matrix, where the non-smooth part is uninitialized, but pre-allocated. """ name = 'nls.semismooth_newton' __metaclass__ = SolverMeta _parameters = [ ('semismooth', 'bool', True, False, """If True, use the semi-smooth algorithm. Otherwise a non-smooth equation is assumed (use a brute force)."""), ('i_max', 'int', 1, False, 'The maximum number of iterations.'), ('eps_a', 'float', 1e-10, False, 'The absolute tolerance for the residual, i.e. :math:`||f(x^i)||`.'), ('eps_r', 'float', 1.0, False, """The relative tolerance for the residual, i.e. :math:`||f(x^i)|| / ||f(x^0)||`."""), ('macheps', 'float', nm.finfo(nm.float64).eps, False, 'The float considered to be machine "zero".'), ('lin_red', 'float', 1.0, False, """The linear system solution error should be smaller than (`eps_a` * `lin_red`), otherwise a warning is printed."""), ('ls_on', 'float', 0.99999, False, """Start the backtracking line-search by reducing the step, if :math:`||f(x^i)|| / ||f(x^{i-1})||` is larger than `ls_on`."""), ('ls_red', '0.0 < float < 1.0', 0.1, False, 'The step reduction factor in case of correct residual assembling.'), ('ls_red_warp', '0.0 < float < 1.0', 0.001, False, """The step reduction factor in case of failed residual assembling (e.g. the "warp violation" error caused by a negative volume element resulting from too large deformations)."""), ('ls_min', '0.0 < float < 1.0', 1e-5, False, 'The minimum step reduction factor.'), ] _colors = {'regular' : 'g', 'steepest_descent' : 'k'} def __call__(self, vec_x0, conf=None, fun_smooth=None, fun_smooth_grad=None, fun_a=None, fun_a_grad=None, fun_b=None, fun_b_grad=None, lin_solver=None, status=None): conf = get_default(conf, self.conf) fun_smooth = get_default(fun_smooth, self.fun_smooth) fun_smooth_grad = get_default(fun_smooth_grad, self.fun_smooth_grad) fun_a = get_default(fun_a, self.fun_a) fun_a_grad = get_default(fun_a_grad, self.fun_a_grad) fun_b = get_default(fun_b, self.fun_b) fun_b_grad = get_default(fun_b_grad, self.fun_b_grad) lin_solver = get_default(lin_solver, self.lin_solver) status = get_default(status, self.status) time_stats = {} vec_x = vec_x0.copy() vec_x_last = vec_x0.copy() vec_dx = None if self.log is not None: self.log.plot_vlines(color='r', linewidth=1.0) err0 = -1.0 err_last = -1.0 it = 0 step_mode = 'regular' r_last = None reuse_matrix = False while 1: ls = 1.0 vec_dx0 = vec_dx; i_ls = 0 while 1: tt = time.clock() try: vec_smooth_r = fun_smooth(vec_x) vec_a_r = fun_a(vec_x) vec_b_r = fun_b(vec_x) except ValueError: vec_smooth_r = vec_semismooth_r = None if (it == 0) or (ls < conf.ls_min): output('giving up!') raise else: ok = False else: if conf.semismooth: # Semi-smooth equation. vec_semismooth_r = (nm.sqrt(vec_a_r**2.0 + vec_b_r**2.0) - (vec_a_r + vec_b_r)) else: # Non-smooth equation (brute force). vec_semismooth_r = nm.where(vec_a_r < vec_b_r, vec_a_r, vec_b_r) r_last = (vec_smooth_r, vec_a_r, vec_b_r, vec_semismooth_r) ok = True time_stats['rezidual'] = time.clock() - tt if ok: vec_r = nm.r_[vec_smooth_r, vec_semismooth_r] try: err = nla.norm(vec_r) except: output('infs or nans in the residual:', vec_semismooth_r) output(nm.isfinite(vec_semismooth_r).all()) debug() if self.log is not None: self.log(err, it) if it == 0: err0 = err; break if err < (err_last * conf.ls_on): step_mode = 'regular' break else: output('%s step line search' % step_mode) red = conf.ls_red[step_mode]; output('iter %d, (%.5e < %.5e) (new ls: %e)'\ % (it, err, err_last * conf.ls_on, red * ls)) else: # Failed to compute rezidual. red = conf.ls_red_warp; output('rezidual computation failed for iter %d' ' (new ls: %e)!' % (it, red * ls)) if ls < conf.ls_min: if step_mode == 'regular': output('restore previous state') vec_x = vec_x_last.copy() (vec_smooth_r, vec_a_r, vec_b_r, vec_semismooth_r) = r_last err = err_last reuse_matrix = True step_mode = 'steepest_descent' else: output('linesearch failed, continuing anyway') break ls *= red; vec_dx = ls * vec_dx0; vec_x = vec_x_last.copy() - vec_dx i_ls += 1 # End residual loop. output('%s step' % step_mode) if self.log is not None: self.log.plot_vlines([1], color=self._colors[step_mode], linewidth=0.5) err_last = err; vec_x_last = vec_x.copy() condition = conv_test(conf, it, err, err0) if condition >= 0: break tt = time.clock() if not reuse_matrix: mtx_jac = self.compute_jacobian(vec_x, fun_smooth_grad, fun_a_grad, fun_b_grad, vec_smooth_r, vec_a_r, vec_b_r) else: reuse_matrix = False time_stats['matrix'] = time.clock() - tt tt = time.clock() if step_mode == 'regular': vec_dx = lin_solver(vec_r, mtx=mtx_jac) vec_e = mtx_jac * vec_dx - vec_r lerr = nla.norm(vec_e) if lerr > (conf.eps_a * conf.lin_red): output('linear system not solved! (err = %e)' % lerr) output('switching to steepest descent step') step_mode = 'steepest_descent' vec_dx = mtx_jac.T * vec_r else: vec_dx = mtx_jac.T * vec_r time_stats['solve'] = time.clock() - tt for kv in time_stats.iteritems(): output('%10s: %7.2f [s]' % kv) vec_x -= vec_dx it += 1 if status is not None: status['time_stats'] = time_stats status['err0'] = err0 status['err'] = err status['condition'] = condition if conf.log.plot is not None: if self.log is not None: self.log(save_figure=conf.log.plot) return vec_x def compute_jacobian(self, vec_x, fun_smooth_grad, fun_a_grad, fun_b_grad, vec_smooth_r, vec_a_r, vec_b_r): conf = self.conf mtx_s = fun_smooth_grad(vec_x) mtx_a = fun_a_grad(vec_x) mtx_b = fun_b_grad(vec_x) n_s = vec_smooth_r.shape[0] n_ns = vec_a_r.shape[0] if conf.semismooth: aa = nm.abs(vec_a_r) ab = nm.abs(vec_b_r) iz = nm.where((aa < (conf.macheps * max(aa.max(), 1.0))) & (ab < (conf.macheps * max(ab.max(), 1.0))))[0] inz = nm.setdiff1d(nm.arange(n_ns), iz) output('non_active/active: %d/%d' % (len(inz), len(iz))) mul_a = nm.empty_like(vec_a_r) mul_b = nm.empty_like(mul_a) # Non-active part of the jacobian. if len(inz) > 0: a_r_nz = vec_a_r[inz] b_r_nz = vec_b_r[inz] sqrt_ab = nm.sqrt(a_r_nz**2.0 + b_r_nz**2.0) mul_a[inz] = (a_r_nz / sqrt_ab) - 1.0 mul_b[inz] = (b_r_nz / sqrt_ab) - 1.0 # Active part of the jacobian. if len(iz) > 0: vec_z = nm.zeros_like(vec_x) vec_z[n_s+iz] = 1.0 mtx_a_z = mtx_a[iz] mtx_b_z = mtx_b[iz] sqrt_ab = nm.empty((iz.shape[0],), dtype=vec_a_r.dtype) for ir in range(len(iz)): row_a_z = mtx_a_z[ir] row_b_z = mtx_b_z[ir] sqrt_ab[ir] = nm.sqrt((row_a_z * row_a_z.T).todense() + (row_b_z * row_b_z.T).todense()) mul_a[iz] = ((mtx_a_z * vec_z) / sqrt_ab) - 1.0 mul_b[iz] = ((mtx_b_z * vec_z) / sqrt_ab) - 1.0 else: iz = nm.where(vec_a_r > vec_b_r)[0] mul_a = nm.zeros_like(vec_a_r) mul_b = nm.ones_like(mul_a) mul_a[iz] = 1.0 mul_b[iz] = 0.0 mtx_ns = sp.spdiags(mul_a, 0, n_ns, n_ns) * mtx_a \ + sp.spdiags(mul_b, 0, n_ns, n_ns) * mtx_b mtx_jac = compose_sparse([[mtx_s], [mtx_ns]]).tocsr() mtx_jac.sort_indices() return mtx_jac sfepy-release_2015.1/sfepy/solvers/setup.py000066400000000000000000000006771247364230400210040ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/solvers/solvers.py000066400000000000000000000213161247364230400213320ustar00rootroot00000000000000""" Base (abstract) solver classes. """ from sfepy.base.base import Struct def make_get_conf(conf, kwargs): def _get_conf_item(name, default=None, msg_if_none=None): return kwargs.get(name, conf.get(name, default=default, msg_if_none=msg_if_none)) return _get_conf_item def format_next(text, new_text, pos, can_newline, width, ispaces): new_len = len(new_text) if (pos + new_len > width) and can_newline: text += '\n' + ispaces + new_text pos = new_len can_newline = False else: if pos > 0: text += ' ' + new_text pos += new_len + 1 else: text += ispaces + new_text pos += len(ispaces) + new_len can_newline = True return text, pos, can_newline def typeset_to_indent(txt, indent, width): if not len(txt): return txt txt_lines = txt.strip().split('\n') ispaces = ' ' * indent can_newline = False pos = 0 text = '' for line in txt_lines: for word in line.split(): text, pos, can_newline = format_next(text, word, pos, can_newline, width, ispaces) return text def make_option_docstring(name, kind, default, required, doc): if default is None: entry = ' %s : %s\n' % (name, kind) else: entry = ' %s : %s (default: %s)\n' % (name, kind, repr(default)) entry += typeset_to_indent(doc, 8, 75) return entry par_template = \ """ For common configuration parameters, see :class:`Solver `. Specific configuration parameters: Parameters ---------- """ class SolverMeta(type): """ Metaclass for solver classes that automatically adds configuration parameters to the solver class docstring from the ``_parameters`` class attribute. """ def __new__(cls, name, bases, ndict): if '__doc__' in ndict: ndict['__doc__'] = ndict['__doc__'].rstrip() solver_kind = ndict.get('name') if solver_kind is not None: ndict['__doc__'] += '\n\n Kind: %s\n' % repr(solver_kind) ndict['__doc__'] += par_template options = ndict.get('_parameters') if options is not None: docs = [make_option_docstring(*option) for option in options] ndict['__doc__'] = (ndict['__doc__'].rstrip() + '\n' + '\n'.join(docs)) return super(SolverMeta, cls).__new__(cls, name, bases, ndict) class Solver(Struct): """ Base class for all solver kinds. Takes care of processing of common configuration options. The factory method any_from_conf() can be used to create an instance of any subclass. The subclasses have to reimplement __init__() and __call__(). All solvers use the following configuration parameters: Parameters ---------- """ __metaclass__ = SolverMeta _parameters = [ ('name', 'str', None, True, 'The name referred to in problem description options.'), ('kind', 'str', None, True, """The solver kind, as given by the `name` class attribute of the Solver subclasses."""), ('verbose', 'bool', False, False, """If True, the solver can print more information about the solution."""), ] @classmethod def process_conf(cls, conf, kwargs): """ Process configuration parameters. """ get = make_get_conf(conf, kwargs) if len(cls._parameters) and cls._parameters[0][0] != 'name': options = Solver._parameters + cls._parameters else: options = cls._parameters opts = Struct() allow_extra = False for name, _, default, required, _ in options: if name == '*': allow_extra = True continue msg = ('missing "%s" in options!' % name) if required else None setattr(opts, name, get(name, default, msg)) if allow_extra: all_keys = set(conf.to_dict().keys()) other = all_keys.difference(opts.to_dict().keys()) for name in other: setattr(opts, name, get(name, None, None)) return opts def __init__(self, conf=None, **kwargs): if conf is None: conf = Struct() elif isinstance(conf, dict): conf = Struct(**conf) if conf.get('name', None) is None: conf.name = 'auto_' + self.__class__.__name__ if conf.get('kind', None) is None: if hasattr(self.__class__, 'name'): conf.kind = self.__class__.name else: raise ValueError('solver kind cannot be determined!') new_conf = self.process_conf(conf, kwargs) Struct.__init__(self, conf=new_conf, orig_conf=conf, **kwargs) def build_solver_kwargs(self, conf): """ Build the `kwargs` dict for the underlying solver function using the extra options (marked by '*' in ``_parameters``) in `conf`. The declared parameters are omitted. """ if len(self._parameters) and self._parameters[0][0] != 'name': options = Solver._parameters + self._parameters else: options = self._parameters std = set([ii[0] for ii in options if ii[0] != '*']) kwargs = {} for key, val in conf.to_dict().iteritems(): if key not in std: kwargs[key] = val return kwargs def __call__(self, **kwargs): raise ValueError('called an abstract Solver instance!') class LinearSolver(Solver): """ Abstract linear solver class. """ def __init__(self, conf, mtx=None, status=None, **kwargs): Solver.__init__(self, conf=conf, mtx=mtx, status=status, **kwargs) def __call__(self, rhs, x0=None, conf=None, eps_a=None, eps_r=None, i_max=None, mtx=None, status=None, **kwargs): raise ValueError('called an abstract LinearSolver instance!') def get_tolerance(self): """ Return tuple `(eps_a, eps_r)` of absolute and relative tolerance settings. Either value can be `None`, meaning that the solver does not use that setting. """ return self.conf.get('eps_a', None), self.conf.get('eps_r', None) class NonlinearSolver(Solver): """ Abstract nonlinear solver class. """ def __init__(self, conf, fun=None, fun_grad=None, lin_solver=None, iter_hook=None, status=None, **kwargs): Solver.__init__(self, conf=conf, fun=fun, fun_grad=fun_grad, lin_solver=lin_solver, iter_hook=iter_hook, status=status, **kwargs) def __call__(self, state0, conf=None, fun=None, fun_grad=None, lin_solver=None, iter_hook=None, status=None): raise ValueError('called an abstract NonlinearSolver instance!') class TimeSteppingSolver(Solver): """ Abstract time stepping solver class. """ def __init__(self, conf, **kwargs): Solver.__init__(self, conf=conf, **kwargs) def __call__(self, state0=None, save_results=True, step_hook=None, post_process_hook=None, nls_status=None): raise ValueError('called an abstract TimeSteppingSolver instance!') class OptimizationSolver(Solver): """ Abstract optimization solver class. """ def __init__(self, conf, obj_fun=None, obj_fun_grad=None, status=None, obj_args=None, **kwargs ): Solver.__init__(self, conf=conf, obj_fun=obj_fun, obj_fun_grad=obj_fun_grad, status=status, obj_args=obj_args, **kwargs) def __call__(self, state0, conf=None, obj_fun=None, obj_fun_grad=None, status=None, obj_args=None): raise ValueError('called an abstract OptimizationSolver instance!') class EigenvalueSolver(Solver): """ Abstract eigenvalue solver class. """ def __init__(self, conf, mtx_a=None, mtx_b=None, n_eigs=None, eigenvectors=None, status=None): Solver.__init__(self, conf=conf, mtx_a=mtx_a, mtx_b=mtx_b, n_eigs=n_eigs, eigenvectors=eigenvectors, status=status) def __call__(self, mtx_a, mtx_b=None, n_eigs=None, eigenvectors=None, status=None, conf=None): raise ValueError('called an abstract EigenvalueSolver instance!') def _to_array(self, mtx_a, mtx_b=None): if hasattr(mtx_a, 'toarray'): mtx_a = mtx_a.toarray() if mtx_b is not None: if hasattr(mtx_b, 'toarray'): mtx_b = mtx_b.toarray() return mtx_a, mtx_b sfepy-release_2015.1/sfepy/solvers/ts.py000066400000000000000000000122131247364230400202570ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import output, get_default, Struct def get_print_info(n_step): if n_step > 1: n_digit = int(nm.log10(n_step - 1) + 1) else: n_digit = 1 format = '%%%dd of %%%dd' % (n_digit, n_digit) suffix = '%%0%dd' % n_digit return n_digit, format, suffix class TimeStepper(Struct): """ Time stepper class. """ @staticmethod def from_conf(conf): return TimeStepper(conf.t0, conf.t1, dt=conf.dt, n_step=conf.n_step, is_quasistatic=conf.quasistatic) def __init__(self, t0, t1, dt=None, n_step=None, step=None, is_quasistatic=False): self.set_from_data(t0, t1, dt=dt, n_step=n_step, step=step) self.is_quasistatic = is_quasistatic def _get_n_step(self, t0, t1, dt): n_step = int(round(nm.floor(((t1 - t0) / dt) + 0.5) + 1.0)) return n_step def set_from_data(self, t0, t1, dt=None, n_step=None, step=None): self.t0, self.t1 = t0, t1 dt = get_default(dt, t1 - t0) self.n_step = get_default(n_step, self._get_n_step(self.t0, self.t1, dt)) if self.n_step > 1: self.times, self.dt = nm.linspace(self.t0, self.t1, self.n_step, endpoint=True, retstep=True) else: self.times = nm.array((self.t0,), dtype=nm.float64) self.dt = self.t1 - self.t0 self.n_digit, self.format, self.suffix = get_print_info(self.n_step) self.set_step(step) def set_from_ts(self, ts, step=None): step = get_default(step, ts.step) self.set_from_data(ts.t0, ts.t1, ts.dt, ts.n_step, step=step) def __iter__(self): """ts.step, ts.time is consistent with step, time returned here ts.nt is normalized time in [0, 1]""" return self.iter_from(0) def iter_from(self, step): self.step = step - 1 for time in self.times[step:]: self.time = time self.step += 1 self.normalize_time() yield self.step, self.time def normalize_time(self): self.nt = (self.time - self.t0) / (self.t1 - self.t0) def set_step(self, step=0, nt=0.0): nm1 = self.n_step - 1 if step is None: step = int(round(nt * nm1)) if step < 0: step = self.n_step + step if (step >= self.n_step) or (step < 0): output('time step must be in [%d, %d]' % (-nm1, nm1) ) raise ValueError self.step = step self.time = self.times[step] self.normalize_time() def __eq__(self, other): if type(other) == type(self): return (abs(self.t0 == other.t0) < 1e-15) and \ (abs(self.t1 == other.t1) < 1e-15) and \ (self.n_step == other.n_step) else: raise ValueError class VariableTimeStepper(TimeStepper): """ Time stepper class with a variable time step. """ @staticmethod def from_conf(conf): return VariableTimeStepper(conf.t0, conf.t1, dt=conf.dt, n_step=conf.n_step, is_quasistatic=conf.quasistatic) def set_from_data(self, t0, t1, dt=None, n_step=None, step=None): self.t0, self.t1 = t0, t1 self.dtime = self.t1 - self.t0 dt = get_default(dt, self.dtime) self.n_step0 = get_default(n_step, self._get_n_step(self.t0, self.t1, dt)) if self.n_step0 > 1: self.dt = self.dtime / (self.n_step0 - 1) else: self.dt = self.dtime self.dt0 = self.dt self.n_digit, self.format, self.suffix = get_print_info(5) self.set_step(step) def set_from_ts(self, ts, step=None): self.set_from_data(ts.t0, ts.t1, ts.dt, ts.n_step0, step=0) def set_n_digit_from_min_dt(self, dt): n_step = self._get_n_step(self.t0, self.t1, dt) self.n_digit, self.format, self.suffix = get_print_info(n_step) def set_step(self, step=0, nt=0.0): if step > 0: raise ValueError('cannot set step > 0 in VariableTimeStepper!') self.step = 0 self.nt = 0.0 self.dts = [] self.times = [self.t0] self.n_step = 1 def get_default_time_step(self): return self.dt0 def set_time_step(self, dt, update_time=False): self.dt = dt if update_time: self.time = self.times[self.step - 1] + self.dt self.times[self.step] = self.time self.normalize_time() def __iter__(self): """ ts.step, ts.time is consistent with step, time returned here ts.nt is normalized time in [0, 1]. """ self.set_step(0) while 1: self.time = self.times[self.step] yield self.step, self.time if self.nt >= 1.0: break self.step += 1 self.time += self.dt self.normalize_time() self.times.append(self.time) self.dts.append(self.dt) self.n_step = self.step + 1 sfepy-release_2015.1/sfepy/solvers/ts_solvers.py000066400000000000000000000371341247364230400220450ustar00rootroot00000000000000""" Time stepping solvers. """ import numpy as nm from sfepy.base.base import output, Struct, IndexedStruct, basestr from sfepy.solvers.solvers import SolverMeta, TimeSteppingSolver from sfepy.discrete.mass_operator import MassOperator from sfepy.solvers.ts import TimeStepper, VariableTimeStepper class StationarySolver(TimeSteppingSolver): """ Solver for stationary problems without time stepping. This class is provided to have a unified interface of the time stepping solvers also for stationary problems. """ name = 'ts.stationary' __metaclass__ = SolverMeta def __init__(self, conf, **kwargs): TimeSteppingSolver.__init__(self, conf, ts=None, **kwargs) def __call__(self, state0=None, save_results=True, step_hook=None, post_process_hook=None, nls_status=None): problem = self.problem problem.time_update() state = problem.solve(state0=state0, nls_status=nls_status) if step_hook is not None: step_hook(problem, None, state) if save_results: problem.save_state(problem.get_output_name(), state, post_process_hook=post_process_hook, file_per_var=None) return state def replace_virtuals(deps, pairs): out = {} for key, val in deps.iteritems(): out[pairs[key]] = val return out class EquationSequenceSolver(TimeSteppingSolver): """ Solver for stationary problems with an equation sequence. """ name = 'ts.equation_sequence' __metaclass__ = SolverMeta def __init__(self, conf, **kwargs): TimeSteppingSolver.__init__(self, conf, ts=None, **kwargs) def __call__(self, state0=None, save_results=True, step_hook=None, post_process_hook=None, nls_status=None): from sfepy.base.base import invert_dict, get_subdict from sfepy.base.resolve_deps import resolve problem = self.problem if state0 is None: state0 = problem.create_state() variables = problem.get_variables() vtos = variables.get_dual_names() vdeps = problem.equations.get_variable_dependencies() sdeps = replace_virtuals(vdeps, vtos) sorder = resolve(sdeps) stov = invert_dict(vtos) vorder = [[stov[ii] for ii in block] for block in sorder] parts0 = state0.get_parts() state = state0.copy() solved = [] for ib, block in enumerate(vorder): output('solving for %s...' % sorder[ib]) subpb = problem.create_subproblem(block, solved) subpb.equations.print_terms() subpb.time_update() substate0 = subpb.create_state() vals = get_subdict(parts0, block) substate0.set_parts(vals) substate = subpb.solve(state0=substate0, nls_status=nls_status) state.set_parts(substate.get_parts()) solved.extend(sorder[ib]) output('...done') if step_hook is not None: step_hook(problem, None, state) if save_results: problem.save_state(problem.get_output_name(), state, post_process_hook=post_process_hook, file_per_var=None) return state def get_initial_state(problem): """ Create a zero state vector and apply initial conditions. """ state = problem.create_state() problem.setup_ic() state.apply_ic() return state def prepare_save_data(ts, conf): """ Given a time stepper configuration, return a list of time steps when the state should be saved. """ try: save_steps = conf.options.save_steps except: save_steps = -1 if save_steps == -1: save_steps = ts.n_step is_save = nm.linspace(0, ts.n_step - 1, save_steps).astype(nm.int32) is_save = nm.unique(is_save) return ts.suffix, is_save def prepare_matrix(problem, state): """ Pre-assemble tangent system matrix. """ problem.update_materials() ev = problem.get_evaluator() try: mtx = ev.eval_tangent_matrix(state(), is_full=True) except ValueError: output('matrix evaluation failed, giving up...') raise return mtx def make_implicit_step(ts, state0, problem, nls_status=None): """ Make a step of an implicit time stepping solver. """ problem.time_update(ts) if ts.step == 0: state0.apply_ebc() state = state0.copy(deep=True) if not ts.is_quasistatic: problem.init_time(ts) ev = problem.get_evaluator() try: vec_r = ev.eval_residual(state(), is_full=True) except ValueError: output('initial residual evaluation failed, giving up...') raise else: err = nm.linalg.norm(vec_r) output('initial residual: %e' % err) if problem.is_linear(): mtx = prepare_matrix(problem, state) else: mtx = None # Initialize solvers (and possibly presolve the matrix). presolve = mtx is not None problem.init_solvers(nls_status=nls_status, mtx=mtx, presolve=presolve) # Initialize variables with history. state0.init_history() if ts.is_quasistatic: # Ordinary solve. state = problem.solve(state0=state0, nls_status=nls_status) else: state = problem.solve(state0=state0, nls_status=nls_status) return state def make_explicit_step(ts, state0, problem, mass, nls_status=None): """ Make a step of an explicit time stepping solver. """ problem.time_update(ts) if ts.step == 0: state0.apply_ebc() state = state0.copy(deep=True) problem.init_time(ts) # Initialize variables with history. state0.init_history() ev = problem.get_evaluator() try: vec_r = ev.eval_residual(state0(), is_full=True) except ValueError: output('residual evaluation failed, giving up...') raise else: err = nm.linalg.norm(vec_r) output('residual: %e' % err) if ts.step > 0: variables = problem.get_variables() vec_rf = variables.make_full_vec(vec_r, force_value=0.0) rhs = -ts.dt * vec_rf + mass.action(state0()) vec = mass.inverse_action(rhs) state = state0.copy(preserve_caches=True) state.set_full(vec) state.apply_ebc() return state def get_min_dt(adt): red = adt.red while red >= adt.red_max: red *= adt.red_factor dt = adt.dt0 * red return dt def adapt_time_step(ts, status, adt, problem=None): """ Adapt the time step of `ts` according to the exit status of the nonlinear solver. The time step dt is reduced, if the nonlinear solver did not converge. If it converged in less then a specified number of iterations for several time steps, the time step is increased. This is governed by the following parameters: - red_factor : time step reduction factor - red_max : maximum time step reduction factor - inc_factor : time step increase factor - inc_on_iter : increase time step if the nonlinear solver converged in less than this amount of iterations... - inc_wait : ...for this number of consecutive time steps Parameters ---------- ts : VariableTimeStepper instance The time stepper. status : IndexedStruct instance The nonlinear solver exit status. adt : Struct instance The adaptivity parameters of the time solver: problem : Problem instance, optional This canbe used in user-defined adaptivity functions. Not used here. Returns ------- is_break : bool If True, the adaptivity loop should stop. """ is_break = False if status.condition == 0: if status.n_iter <= adt.inc_on_iter: adt.wait += 1 if adt.wait > adt.inc_wait: if adt.red < 1.0: adt.red = adt.red * adt.inc_factor ts.set_time_step(adt.dt0 * adt.red) output('+++++ new time step: %e +++++' % ts.dt) adt.wait = 0 else: adt.wait = 0 is_break = True else: adt.red = adt.red * adt.red_factor if adt.red < adt.red_max: is_break = True else: ts.set_time_step(adt.dt0 * adt.red, update_time=True) output('----- new time step: %e -----' % ts.dt) adt.wait = 0 return is_break class SimpleTimeSteppingSolver(TimeSteppingSolver): """ Implicit time stepping solver with a fixed time step. """ name = 'ts.simple' __metaclass__ = SolverMeta _parameters = [ ('t0', 'float', 0.0, False, 'The initial time.'), ('t1', 'float', 1.0, False, 'The final time.'), ('dt', 'float', None, False, 'The time step. Used if `n_step` is not given.'), ('n_step', 'int', 10, False, 'The number of time steps. Has precedence over `dt`.'), ('quasistatic', 'bool', False, False, """If True, assume a quasistatic time-stepping. Then the non-linear solver is invoked also for the initial time."""), ] def __init__(self, conf, **kwargs): TimeSteppingSolver.__init__(self, conf, **kwargs) self.ts = TimeStepper.from_conf(self.conf) nd = self.ts.n_digit format = '====== time %%e (step %%%dd of %%%dd) =====' % (nd, nd) self.format = format def __call__(self, state0=None, save_results=True, step_hook=None, post_process_hook=None, nls_status=None): """ Solve the time-dependent problem. """ problem = self.problem ts = self.ts suffix, is_save = prepare_save_data(ts, problem.conf) if state0 is None: state0 = get_initial_state(problem) ii = 0 for step, time in ts: output(self.format % (time, step + 1, ts.n_step)) state = self.solve_step(ts, state0, nls_status=nls_status) state0 = state.copy(deep=True) if step_hook is not None: step_hook(problem, ts, state) if save_results and (is_save[ii] == ts.step): filename = problem.get_output_name(suffix=suffix % ts.step) problem.save_state(filename, state, post_process_hook=post_process_hook, file_per_var=None, ts=ts) ii += 1 problem.advance(ts) return state def solve_step(self, ts, state0, nls_status=None): """ Solve a single time step. """ state = make_implicit_step(ts, state0, self.problem, nls_status=nls_status) return state class ExplicitTimeSteppingSolver(SimpleTimeSteppingSolver): """ Explicit time stepping solver with a fixed time step. """ name = 'ts.explicit' __metaclass__ = SolverMeta _parameters = SimpleTimeSteppingSolver._parameters + [ ('mass', 'term', None, True, 'The term for assembling the mass matrix.'), ('lump', 'bool', False, False, 'If True, use the lumped mass matrix.'), ] def __init__(self, conf, **kwargs): SimpleTimeSteppingSolver.__init__(self, conf, **kwargs) self.mass = MassOperator(self.problem, self.conf) def solve_step(self, ts, state0, nls_status=None): """ Solve a single time step. """ state = make_explicit_step(ts, state0, self.problem, self.mass, nls_status=nls_status) return state class AdaptiveTimeSteppingSolver(SimpleTimeSteppingSolver): """ Implicit time stepping solver with an adaptive time step. Either the built-in or user supplied function can be used to adapt the time step. """ name = 'ts.adaptive' __metaclass__ = SolverMeta _parameters = SimpleTimeSteppingSolver._parameters + [ ('adapt_fun', 'callable(ts, status, adt, problem)', None, False, """If given, use this function to set the time step in `ts`. The function return value is a bool - if True, the adaptivity loop should stop. The other parameters below are collected in `adt`, `status` is the nonlinear solver status and `problem` is the :class:`Problem ` instance."""), ('dt_red_factor', 'float', 0.2, False, 'The time step reduction factor.'), ('dt_red_max', 'float', 1e-3, False, 'The maximum time step reduction factor.'), ('dt_inc_factor', 'float', 1.25, False, 'The time step increase factor.'), ('dt_inc_on_iter', 'int', 4, False, """Increase the time step if the nonlinear solver converged in less than this amount of iterations for `dt_inc_wait` consecutive time steps."""), ('dt_inc_wait', 'int', 5, False, 'The number of consecutive time steps, see `dt_inc_on_iter`.'), ] def __init__(self, conf, **kwargs): TimeSteppingSolver.__init__(self, conf, **kwargs) self.ts = VariableTimeStepper.from_conf(self.conf) get = self.conf.get adt = Struct(red_factor=get('dt_red_factor', 0.2), red_max=get('dt_red_max', 1e-3), inc_factor=get('dt_inc_factor', 1.25), inc_on_iter=get('dt_inc_on_iter', 4), inc_wait=get('dt_inc_wait', 5), red=1.0, wait=0, dt0=0.0) self.adt = adt adt.dt0 = self.ts.get_default_time_step() self.ts.set_n_digit_from_min_dt(get_min_dt(adt)) self.format = '====== time %e (dt %e, wait %d, step %d of %d) =====' if isinstance(self.conf.adapt_fun, basestr): self.adapt_time_step = self.problem.functions[self.conf.adapt_fun] else: self.adapt_time_step = self.conf.adapt_fun def __call__(self, state0=None, save_results=True, step_hook=None, post_process_hook=None, nls_status=None): """ Solve the time-dependent problem. """ problem = self.problem ts = self.ts if state0 is None: state0 = get_initial_state(problem) ii = 0 for step, time in ts: output(self.format % (time, ts.dt, self.adt.wait, step + 1, ts.n_step)) state = self.solve_step(ts, state0, nls_status=nls_status) state0 = state.copy(deep=True) if step_hook is not None: step_hook(problem, ts, state) if save_results: filename = problem.get_output_name(suffix=ts.suffix % ts.step) problem.save_state(filename, state, post_process_hook=post_process_hook, file_per_var=None, ts=ts) ii += 1 problem.advance(ts) return state def solve_step(self, ts, state0, nls_status=None): """ Solve a single time step. """ status = IndexedStruct(n_iter=0, condition=0) while 1: state = make_implicit_step(ts, state0, self.problem, nls_status=status) is_break = self.adapt_time_step(ts, status, self.adt, self.problem) if is_break: break if nls_status is not None: nls_status.update(status) return state sfepy-release_2015.1/sfepy/terms/000077500000000000000000000000001247364230400167155ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/terms/__init__.py000066400000000000000000000006551247364230400210340ustar00rootroot00000000000000import sfepy import terms import extmods from terms import Terms, Term, CharacteristicFunction, vector_chunk_generator from terms_th import THTerm, ETHTerm from sfepy.base.base import load_classes term_files = sfepy.get_paths('sfepy/terms/terms*.py') term_table = load_classes(term_files, [Term], ignore_errors=True) del sfepy def register_term(cls): """ Register a custom term. """ term_table[cls.name] = cls sfepy-release_2015.1/sfepy/terms/extmods/000077500000000000000000000000001247364230400204005ustar00rootroot00000000000000sfepy-release_2015.1/sfepy/terms/extmods/__init__.py000066400000000000000000000000241247364230400225050ustar00rootroot00000000000000__all__ = ['terms'] sfepy-release_2015.1/sfepy/terms/extmods/form_sdcc.c000066400000000000000000000175571247364230400225220ustar00rootroot00000000000000#include "form_sdcc.h" #undef __FUNC__ #define __FUNC__ "form_sdcc_strainCauchy_VS" /*! Cauchy strain tensor stored as a vector, symmetric storage, doubled non-diagonal entries. @par Revision history: - 30.04.2001, c - 17.03.2003, adopted from rcfem2 - 07.08.2006 */ int32 form_sdcc_strainCauchy_VS( FMField *strain, FMField *dg ) { int32 iqp, nQP; float64 *pstrain, *pdg; #ifdef DEBUG_FMF if ((strain->nLev != dg->nLev) || (strain->nCol != 1) || (dg->nCol != dg->nCol) || (strain->nRow != ((dg->nRow + 1) * dg->nRow / 2))) { errput( ErrHead "ERR_BadMatch: (%d %d %d) <- (%d %d %d)\n", strain->nLev, strain->nRow, strain->nCol, dg->nLev, dg->nRow, dg->nCol ); } #endif nQP = dg->nLev; switch (dg->nRow) { case 1: for (iqp = 0; iqp < nQP; iqp++) { pstrain = FMF_PtrLevel( strain, iqp ); pdg = FMF_PtrLevel( dg, iqp ); pstrain[0] = pdg[0]; } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pstrain = FMF_PtrLevel( strain, iqp ); pdg = FMF_PtrLevel( dg, iqp ); pstrain[0] = pdg[0]; pstrain[1] = pdg[3]; pstrain[2] = pdg[1] + pdg[2]; } break; case 3: for (iqp = 0; iqp < nQP; iqp++) { pstrain = FMF_PtrLevel( strain, iqp ); pdg = FMF_PtrLevel( dg, iqp ); pstrain[0] = pdg[0]; pstrain[1] = pdg[4]; pstrain[2] = pdg[8]; pstrain[3] = pdg[1] + pdg[3]; pstrain[4] = pdg[2] + pdg[6]; pstrain[5] = pdg[5] + pdg[7]; } break; default: errput( ErrHead "ERR_Switch\n" ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "form_sdcc_actOpGT_VS3" /*! @fn int32 form_sdcc_actOpGT_VS3( FMField *diff, FMField *vec, FMField *gc ) @f$(G_{SD})^T@f$ operation (i.e. divergence of columns of a tensor) used on a symmetric tensor (symmetric vector storage - e.g. stress vector). @par Revision history: - 30.04.2001, c - 03.10.2001 - 06.06.2002 - 17.03.2003, adopted from rcfem2 */ int32 form_sdcc_actOpGT_VS3( FMField *diff, FMField *gc, FMField *vec ) { int32 iqp, iep, nEP, nQP; float64 *pdiff1, *pdiff2, *pdiff3, *pvec, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pdiff1 = FMF_PtrLevel( diff, iqp ); pdiff2 = pdiff1 + nEP; pdiff3 = pdiff2 + nEP; pvec = FMF_PtrLevel( vec, iqp ); pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; for (iep = 0; iep < nEP; iep++) { pdiff1[iep] = pg1[iep] * pvec[0] + pg2[iep] * pvec[3] + pg3[iep] * pvec[4]; pdiff2[iep] = pg1[iep] * pvec[3] + pg2[iep] * pvec[1] + pg3[iep] * pvec[5]; pdiff3[iep] = pg1[iep] * pvec[4] + pg2[iep] * pvec[5] + pg3[iep] * pvec[2]; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pdiff1 = FMF_PtrLevel( diff, iqp ); pdiff2 = pdiff1 + nEP; pvec = FMF_PtrLevel( vec, iqp ); pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; for (iep = 0; iep < nEP; iep++) { pdiff1[iep] = pg1[iep] * pvec[0] + pg2[iep] * pvec[2]; pdiff2[iep] = pg1[iep] * pvec[2] + pg2[iep] * pvec[1]; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pdiff1 = FMF_PtrLevel(diff, iqp); pvec = FMF_PtrLevel(vec, iqp); pg1 = FMF_PtrLevel(gc, iqp); for (iep = 0; iep < nEP; iep++){ pdiff1[iep] = pg1[iep] * pvec[0]; } } break; default: errput( ErrHead "ERR_Switch\n" ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "form_sdcc_actOpGT_M3" /*! @fn int32 form_sdcc_actOpGT_M3( FMField *diff, FMField *vec, FMField *gc ) @f$(G_{SD})^T@f$ operation (i.e. divergence of columns of a tensor) used on a matrix (e.g. tangent modulus) from left. @par Revision history: - 03.10.2001, c - 06.06.2002 - 17.03.2003, adopted from rcfem2 */ int32 form_sdcc_actOpGT_M3( FMField *diff, FMField *gc, FMField *mtx ) { int32 iqp, iep, ii, nEP, nQP, nCol; float64 *pdiff1, *pdiff2, *pdiff3, *pvec, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pvec = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pdiff1 = FMF_PtrLevel( diff, iqp ) + nCol * iep; pdiff2 = pdiff1 + nCol * nEP; pdiff3 = pdiff2 + nCol * nEP; for (ii = 0; ii < nCol; ii++) { pdiff1[ii] = pg1[iep] * pvec[0*nCol+ii] + pg2[iep] * pvec[3*nCol+ii] + pg3[iep] * pvec[4*nCol+ii]; pdiff2[ii] = pg1[iep] * pvec[3*nCol+ii] + pg2[iep] * pvec[1*nCol+ii] + pg3[iep] * pvec[5*nCol+ii]; pdiff3[ii] = pg1[iep] * pvec[4*nCol+ii] + pg2[iep] * pvec[5*nCol+ii] + pg3[iep] * pvec[2*nCol+ii]; } } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pvec = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pdiff1 = FMF_PtrLevel( diff, iqp ) + nCol * iep; pdiff2 = pdiff1 + nCol * nEP; for (ii = 0; ii < nCol; ii++) { pdiff1[ii] = pg1[iep] * pvec[0*nCol+ii] + pg2[iep] * pvec[2*nCol+ii]; pdiff2[ii] = pg1[iep] * pvec[2*nCol+ii] + pg2[iep] * pvec[1*nCol+ii]; } } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pvec = FMF_PtrLevel(mtx, iqp); for (iep = 0; iep < nEP; iep++){ pdiff1 = FMF_PtrLevel(diff, iqp) + nCol * iep; for (ii = 0; ii < nCol; ii++){ pdiff1[ii] = pg1[iep] * pvec[0 * nCol + ii]; } } } break; default: errput( ErrHead "ERR_Switch\n" ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "form_sdcc_actOpG_RM3" /*! @fn int32 form_sdcc_actOpG_RM3( FMField *diff, FMField *vec, FMField *gc ) @f$(G_{SD})@f$ operation (i.e. divergence of columns of a tensor) used on a matrix (e.g. tangent modulus) from right. @par Revision history: - 03.10.2001, c - 06.06.2002 - 17.03.2003, adopted from rcfem2 */ int32 form_sdcc_actOpG_RM3( FMField *diff, FMField *mtx, FMField *gc ) { int32 iqp, iep, ii, nEP, nQP, nRow; float64 *pdiff1, *pdiff2, *pdiff3, *pvec, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nRow = mtx->nRow; switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; for (ii = 0; ii < nRow; ii++) { pvec = FMF_PtrLevel( mtx, iqp ) + mtx->nCol * ii; pdiff1 = FMF_PtrLevel( diff, iqp ) + diff->nCol * ii; pdiff2 = pdiff1 + nEP; pdiff3 = pdiff2 + nEP; for (iep = 0; iep < nEP; iep++) { pdiff1[iep] = pg1[iep] * pvec[0] + pg2[iep] * pvec[3] + pg3[iep] * pvec[4]; pdiff2[iep] = pg1[iep] * pvec[3] + pg2[iep] * pvec[1] + pg3[iep] * pvec[5]; pdiff3[iep] = pg1[iep] * pvec[4] + pg2[iep] * pvec[5] + pg3[iep] * pvec[2]; } } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; for (ii = 0; ii < nRow; ii++) { pvec = FMF_PtrLevel( mtx, iqp ) + mtx->nCol * ii; pdiff1 = FMF_PtrLevel( diff, iqp ) + diff->nCol * ii; pdiff2 = pdiff1 + nEP; for (iep = 0; iep < nEP; iep++) { pdiff1[iep] = pg1[iep] * pvec[0] + pg2[iep] * pvec[2]; pdiff2[iep] = pg1[iep] * pvec[2] + pg2[iep] * pvec[1]; } } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); for (ii = 0; ii < nRow; ii++){ pvec = FMF_PtrLevel(mtx, iqp) + mtx->nCol * ii; pdiff1 = FMF_PtrLevel(diff, iqp) + diff->nCol * ii; for (iep = 0; iep < nEP; iep++){ pdiff1[iep] = pg1[iep] * pvec[0]; } } } break; default: errput( ErrHead "ERR_Switch\n" ); } return( RET_OK ); } sfepy-release_2015.1/sfepy/terms/extmods/form_sdcc.h000066400000000000000000000007221247364230400225110ustar00rootroot00000000000000/*! @par Revision history: - 03.08.2006, c */ #ifndef _FORMSDCC_H_ #define _FORMSDCC_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" int32 form_sdcc_strainCauchy_VS( FMField *strain, FMField *dg ); int32 form_sdcc_actOpGT_VS3( FMField *diff, FMField *gc, FMField *vec ); int32 form_sdcc_actOpGT_M3( FMField *diff, FMField *gc, FMField *mtx ); int32 form_sdcc_actOpG_RM3( FMField *diff, FMField *mtx, FMField *gc ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/setup.py000066400000000000000000000037221247364230400221160ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): import os.path as op import glob from numpy.distutils.misc_util import Configuration from sfepy import Config site_config = Config() os_flag = {'posix' : 0, 'windows' : 1} auto_dir = op.dirname(__file__) auto_name = op.split(auto_dir)[-1] config = Configuration(auto_name, parent_package, top_path) defines = [('__SDIR__', "'\"%s\"'" % auto_dir), ('SFEPY_PLATFORM', os_flag[site_config.system()])] if '-DDEBUG_FMF' in site_config.debug_flags(): defines.append(('DEBUG_FMF', None)) common_path = '../../discrete/fem/extmods' common_src = ['fmfield.c', 'refmaps.c', 'geommech.c', 'common_python.c'] common_src = [op.join(common_path, ii) for ii in common_src] csrc = [op.split(ii)[1] for ii in glob.glob('sfepy/terms/extmods/*.c')] try: csrc.remove('terms.c') except ValueError: pass config.add_library('sfepy_terms', sources=csrc, depends=common_src, extra_compiler_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir, common_path, site_config.python_include()], macros=defines) src = ['terms.pyx'] config.add_extension('terms', sources=src, libraries=['sfepy_terms', 'sfepy_common'], depends=csrc + common_src, extra_compile_args=site_config.compile_flags(), extra_link_args=site_config.link_flags(), include_dirs=[auto_dir, common_path], define_macros=defines) return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/terms/extmods/terms.h000066400000000000000000000011121247364230400216760ustar00rootroot00000000000000/*! @par Revision history: - 20.12.2005, c */ #ifndef _TERMS_H_ #define _TERMS_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "geommech.h" #include "terms_acoustic.h" #include "terms_adj_navier_stokes.h" #include "terms_basic.h" #include "terms_biot.h" #include "terms_electric.h" #include "terms_hyperelastic.h" #include "terms_diffusion.h" #include "terms_elastic.h" #include "terms_navier_stokes.h" #include "terms_piezo.h" #include "terms_surface.h" #include "terms_volume.h" #include "terms_dot.h" #include "terms_op.h" END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms.pyx000066400000000000000000002365561247364230400223150ustar00rootroot00000000000000# -*- Mode: Python -*- """ Low level term evaluation functions. """ cimport cython cimport numpy as np import numpy as np from sfepy.discrete.fem.extmods.mappings cimport (Mapping, CMapping) from sfepy.discrete.fem.extmods._fmfield cimport (FMField, array2fmfield4, array2fmfield3, array2fmfield2, array2fmfield1, array2pint1, array2pint2) from sfepy.discrete.fem.extmods.types cimport int32, float64, complex128 cdef extern from 'common.h': cdef void _errclear 'errclear'() cdef extern from 'terms.h': cdef int32 _dq_state_in_qp \ 'dq_state_in_qp'(FMField *out, FMField *state, int32 offset, FMField *bf, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dq_grad \ 'dq_grad'(FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dq_div_vector \ 'dq_div_vector'(FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _d_volume_surface \ 'd_volume_surface'(FMField *out, FMField *in_, Mapping *sg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _di_surface_moment \ 'di_surface_moment'(FMField *out, FMField *in_, Mapping *sg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dq_finite_strain_tl \ 'dq_finite_strain_tl'(FMField *mtxF, FMField *detF, FMField *vecCS, FMField *trC, FMField *in2C, FMField *vecInvCS, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dq_finite_strain_ul \ 'dq_finite_strain_ul'(FMField *mtxF, FMField *detF, FMField *vecBS, FMField *trB, FMField *in2B, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dq_tl_finite_strain_surface \ 'dq_tl_finite_strain_surface'(FMField *mtxF, FMField *detF, FMField *mtxFI, FMField *state, int32 offset, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nE) cdef int32 _dq_tl_he_stress_bulk \ 'dq_tl_he_stress_bulk'(FMField *out,FMField *mat, FMField *detF, FMField *vecInvCS) cdef int32 _dq_ul_he_stress_bulk \ 'dq_ul_he_stress_bulk'(FMField *out,FMField *mat, FMField *detF) cdef int32 _dq_tl_he_stress_bulk_active \ 'dq_tl_he_stress_bulk_active'(FMField *out,FMField *mat, FMField *detF, FMField *vecInvCS) cdef int32 _dq_tl_he_stress_neohook \ 'dq_tl_he_stress_neohook'(FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS) cdef int32 _dq_ul_he_stress_neohook \ 'dq_ul_he_stress_neohook'(FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS) cdef int32 _dq_tl_he_stress_mooney_rivlin \ 'dq_tl_he_stress_mooney_rivlin'(FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C) cdef int32 _dq_ul_he_stress_mooney_rivlin \ 'dq_ul_he_stress_mooney_rivlin'(FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B) cdef int32 _dq_tl_he_tan_mod_bulk \ 'dq_tl_he_tan_mod_bulk'(FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS) cdef int32 _dq_ul_he_tan_mod_bulk \ 'dq_ul_he_tan_mod_bulk'(FMField *out, FMField *mat, FMField *detF) cdef int32 _dq_tl_he_tan_mod_bulk_active \ 'dq_tl_he_tan_mod_bulk_active'(FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS) cdef int32 _dq_tl_he_tan_mod_neohook \ 'dq_tl_he_tan_mod_neohook'(FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS) cdef int32 _dq_ul_he_tan_mod_neohook \ 'dq_ul_he_tan_mod_neohook'(FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS) cdef int32 _dq_tl_he_tan_mod_mooney_rivlin \ 'dq_tl_he_tan_mod_mooney_rivlin'(FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C) cdef int32 _dq_ul_he_tan_mod_mooney_rivlin \ 'dq_ul_he_tan_mod_mooney_rivlin'(FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B) cdef int32 _dw_he_rtm \ 'dw_he_rtm'(FMField *out, FMField *stress, FMField *tan_mod, FMField *mtxF, FMField *detF, Mapping *vg, int32 isDiff, int32 mode_ul) cdef int32 _de_he_rtm \ 'de_he_rtm'(FMField *out, FMField *stress, FMField *detF, Mapping *vg, int32 *elList, int32 elList_nRow, int32 mode_ul) cdef int32 _dq_tl_stress_bulk_pressure \ 'dq_tl_stress_bulk_pressure'(FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS) cdef int32 _dq_ul_stress_bulk_pressure \ 'dq_ul_stress_bulk_pressure'(FMField *out, FMField *pressure_qp, FMField *det) cdef int32 _dq_tl_tan_mod_bulk_pressure_u \ 'dq_tl_tan_mod_bulk_pressure_u'(FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS) cdef int32 _dq_ul_tan_mod_bulk_pressure_u \ 'dq_ul_tan_mod_bulk_pressure_u'(FMField *out, FMField *pressure_qp, FMField *detF) cdef int32 _dw_tl_volume \ 'dw_tl_volume'(FMField *out, FMField *mtxF, FMField *vecInvCS, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode) cdef int32 _dw_ul_volume \ 'dw_ul_volume'(FMField *out, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode) cdef int32 _dw_tl_diffusion \ 'dw_tl_diffusion'(FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxF, FMField *detF, Mapping *vg, int32 mode) cdef int32 _d_tl_surface_flux \ "d_tl_surface_flux"( FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxFI, FMField *detF, Mapping *sg, int32 mode ) cdef int32 _dw_tl_surface_traction \ 'dw_tl_surface_traction'(FMField *out, FMField *traction, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode) cdef int32 _d_tl_volume_surface \ 'd_tl_volume_surface'(FMField *out, FMField *coors, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *conn, int32 nFa, int32 nFP) cdef int32 _dq_def_grad \ 'dq_def_grad'(FMField *out, FMField *state, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 mode) cdef int32 _he_residuum_from_mtx \ 'he_residuum_from_mtx'(FMField *out, FMField *mtxD, FMField *state, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRo) cdef int32 _he_eval_from_mtx \ 'he_eval_from_mtx'(FMField *out, FMField *mtxD, FMField *stateV, FMField *stateU, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRo) cdef int32 _dw_laplace \ 'dw_laplace'(FMField *out, FMField *grad, FMField *coef, Mapping *vg, int32 isDiff) cdef int32 _d_laplace \ 'd_laplace'(FMField *out, FMField *gradP1, FMField *gradP2, FMField *coef, Mapping *vg) cdef int32 _dw_diffusion \ 'dw_diffusion'(FMField *out, FMField *grad, FMField *mtxD, Mapping *vg, int32 isDiff) cdef int32 _d_diffusion \ 'd_diffusion'(FMField *out, FMField *gradP1, FMField *gradP2, FMField *mtxD, Mapping *vg) cdef int32 _dw_diffusion_r \ 'dw_diffusion_r'(FMField *out, FMField *mtxD, Mapping *vg) cdef int32 _d_surface_flux \ 'd_surface_flux'(FMField *out, FMField *grad, FMField *mtxD, Mapping *sg, int32 mode) cdef int32 _dw_surface_flux \ 'dw_surface_flux'(FMField *out, FMField *grad, FMField *mat, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode) cdef int32 _dw_convect_v_grad_s \ 'dw_convect_v_grad_s'(FMField *out, FMField *val_v, FMField *grad_s, Mapping *vvg, Mapping *svg, int32 isDiff) cdef int32 _dw_lin_elastic_iso \ 'dw_lin_elastic_iso'(FMField *out, FMField *strain, FMField *lam, FMField *mu, Mapping *vg, int32 isDiff) cdef int32 _dw_lin_elastic \ 'dw_lin_elastic'(FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *vg, int32 isDiff) cdef int32 _d_lin_elastic \ 'd_lin_elastic'(FMField *out, float64 coef, FMField *strainV, FMField *strainU, FMField *mtxD, Mapping *vg) cdef int32 _dw_lin_prestress \ 'dw_lin_prestress'(FMField *out, FMField *stress, Mapping *vg) cdef int32 _dw_lin_strain_fib \ 'dw_lin_strain_fib'(FMField *out, FMField *mtxD, FMField *mat, Mapping *vg) cdef int32 _de_cauchy_strain \ 'de_cauchy_strain'(FMField *out, FMField *strain, Mapping *vg, int32 mode) cdef int32 _de_cauchy_stress \ 'de_cauchy_stress'(FMField *out, FMField *strain, FMField *mtxD, Mapping *vg, int32 mode) cdef int32 _dq_cauchy_strain \ 'dq_cauchy_strain'(FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP) cdef int32 _dw_surface_ltr \ 'dw_surface_ltr'(FMField *out, FMField *traction, Mapping *sg) cdef int32 _dw_volume_lvf \ 'dw_volume_lvf'(FMField *out, FMField *forceQP, Mapping *vg) cdef int32 _dw_surface_v_dot_n_s \ 'dw_surface_v_dot_n_s'(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff) cdef int32 _dw_surface_s_v_dot_n \ 'dw_surface_s_v_dot_n'(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff) cdef int32 _dw_volume_dot_vector \ 'dw_volume_dot_vector'(FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff) cdef int32 _dw_volume_dot_scalar \ 'dw_volume_dot_scalar'(FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff) cdef int32 _dw_v_dot_grad_s_vw \ 'dw_v_dot_grad_s_vw'(FMField *out, FMField *coef, FMField *grad, Mapping *vvg, Mapping *svg, int32 isDiff) cdef int32 _dw_v_dot_grad_s_sw \ 'dw_v_dot_grad_s_sw'(FMField *out, FMField *coef, FMField *val_qp, Mapping *vvg, Mapping *svg, int32 isDiff) cdef int32 _term_ns_asm_div_grad \ 'term_ns_asm_div_grad'(FMField *out, FMField *grad, FMField *viscosity, Mapping *vg, int32 isDiff) cdef int32 _term_ns_asm_convect \ 'term_ns_asm_convect'(FMField *out, FMField *grad, FMField *state, Mapping *vg, int32 isDiff) cdef int32 _dw_lin_convect \ 'dw_lin_convect'(FMField *out, FMField *grad, FMField *stateB, Mapping *vg, int32 isDiff) cdef int32 _dw_div \ 'dw_div'(FMField *out, FMField *coef, FMField *div, Mapping *svg, Mapping *vvg, int32 isDiff) cdef int32 _dw_grad \ 'dw_grad'(FMField *out, FMField *coef, FMField *state, Mapping *svg, Mapping *vvg, int32 isDiff) cdef int32 _dw_st_pspg_c \ 'dw_st_pspg_c'(FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg_p, Mapping *vg_u, int32 *conn, int32 nEl, int32 nEP, int32 isDiff) cdef int32 _dw_st_supg_p \ 'dw_st_supg_p'(FMField *out, FMField *stateB, FMField *gradP, FMField *coef, Mapping *vg_u, Mapping *vg_p, int32 isDiff) cdef int32 _dw_st_supg_c \ 'dw_st_supg_c'(FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff) cdef int32 _dw_st_grad_div \ 'dw_st_grad_div'(FMField *out, FMField *div, FMField *coef, Mapping *vg, int32 isDiff) cdef int32 _dw_biot_grad \ 'dw_biot_grad'(FMField *out, float64 coef, FMField *pressure_qp, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff) cdef int32 _dw_biot_div \ 'dw_biot_div'(FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff) cdef int32 _d_biot_div \ 'd_biot_div'(FMField *out, float64 coef, FMField *state, FMField *strain, FMField *mtxD, Mapping *vg) cdef int32 _dw_piezo_coupling \ 'dw_piezo_coupling'(FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg, int32 mode) cdef int32 _d_piezo_coupling \ 'd_piezo_coupling'(FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg) cdef int32 _dw_electric_source \ 'dw_electric_source'(FMField *out, FMField *grad, FMField *coef, Mapping *vg) cdef int32 _d_diffusion_sa \ 'd_diffusion_sa'(FMField *out, FMField *grad_q, FMField *grad_p, FMField *grad_w, FMField *div_w, FMField *mtxD, Mapping *vg) cdef int32 _dw_surf_laplace \ 'dw_surf_laplace'(FMField *out, FMField *grad, FMField *coef, FMField *gbf, Mapping *sg, int32 isDiff) cdef int32 _d_surf_laplace \ 'd_surf_laplace'(FMField *out, FMField *gradP, FMField *gradQ, FMField *coef, Mapping *sg) cdef int32 _dw_surf_lcouple \ 'dw_surf_lcouple'(FMField *out, FMField *state, FMField *coef, FMField *bf, FMField *gbf, Mapping *sg, int32 isDiff) cdef int32 _d_surf_lcouple \ 'd_surf_lcouple'(FMField *out, FMField *stateP, FMField *gradQ, FMField *coef, Mapping *sg) cdef int32 _dw_adj_convect1 \ 'dw_adj_convect1'(FMField *out, FMField *stateW, FMField *gradU, Mapping *vg, int32 isDiff) cdef int32 _dw_adj_convect2 \ 'dw_adj_convect2'(FMField *out, FMField *stateW, FMField *stateU, Mapping *vg, int32 isDiff) cdef int32 _dw_st_adj_supg_c \ 'dw_st_adj_supg_c'(FMField *out, FMField *stateW, FMField *stateU, FMField *gradU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff) cdef int32 _dw_st_adj1_supg_p \ 'dw_st_adj1_supg_p'(FMField *out, FMField *stateW, FMField *gradP, FMField *coef, Mapping *vg_w, int32 *conn_w, int32 nEl_w, int32 nEP_w, int32 isDiff) cdef int32 _dw_st_adj2_supg_p \ 'dw_st_adj2_supg_p'(FMField *out, FMField *gradU, FMField *stateR, FMField *coef, Mapping *vg_u, Mapping *vg_r, int32 *conn_r, int32 nEl_r, int32 nEP_r, int32 isDiff) cdef int32 _d_of_nsMinGrad \ 'd_of_nsMinGrad'(FMField *out, FMField *grad, FMField *viscosity, Mapping *vg) cdef int32 _d_of_nsSurfMinDPress \ 'd_of_nsSurfMinDPress'(FMField *out, FMField *pressure, float64 weight, float64 bpress, Mapping *sg, int32 isDiff) cdef int32 _d_sd_div \ 'd_sd_div'(FMField *out, FMField *divU, FMField *gradU, FMField *stateP, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode) cdef int32 _d_sd_div_grad \ 'd_sd_div_grad'(FMField *out, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *viscosity, Mapping *vg_u, int32 mode) cdef int32 _d_sd_convect \ 'd_sd_convect'(FMField *out, FMField *stateU, FMField *gradU, FMField *stateW, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode) cdef int32 _d_sd_volume_dot \ 'd_sd_volume_dot'(FMField *out, FMField *stateP, FMField *stateQ, FMField *divMV, Mapping *vg, int32 mode) cdef int32 _d_sd_st_grad_div \ 'd_sd_st_grad_div'(FMField *out, FMField *divU, FMField *gradU, FMField *divW, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode) cdef int32 _d_sd_st_supg_c \ 'd_sd_st_supg_c'(FMField *out, FMField *stateB, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode) cdef int32 _d_sd_st_pspg_c \ 'd_sd_st_pspg_c'(FMField *out, FMField *stateB, FMField *gradU, FMField *gradR, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode) cdef int32 _d_sd_st_pspg_p \ 'd_sd_st_pspg_p'(FMField *out, FMField *gradR, FMField *gradP, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_p, int32 mode) cdef int32 _mulATB_integrate \ 'mulATB_integrate'(FMField *out, FMField *A, FMField *B, Mapping *vg) def errclear(): _errclear() def dq_state_in_qp(np.ndarray out not None, np.ndarray state not None, np.ndarray bf not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _state[1], _bf[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state, state) array2fmfield4(_bf, bf) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_state_in_qp(_out, _state, 0, _bf, _conn, n_el, n_ep) return ret def dq_grad(np.ndarray out not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_grad(_out, _state, 0, cmap.geo, _conn, n_el, n_ep) return ret def dq_div_vector(np.ndarray out not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_div_vector(_out, _state, 0, cmap.geo, _conn, n_el, n_ep) return ret def d_volume_surface(np.ndarray out not None, np.ndarray in_ not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _in_[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield2(_in_, in_) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _d_volume_surface(_out, _in_, cmap.geo, _conn, n_el, n_ep) return ret def di_surface_moment(np.ndarray out not None, np.ndarray in_ not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _in_[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield2(_in_, in_) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _di_surface_moment(_out, _in_, cmap.geo, _conn, n_el, n_ep) return ret def dq_finite_strain_tl(np.ndarray mtx_f not None, np.ndarray det_f not None, np.ndarray vec_cs not None, np.ndarray tr_c not None, np.ndarray in_2c not None, np.ndarray vec_inv_cs not None, np.ndarray vec_es not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _mtx_f[1], _det_f[1], _vec_cs[1], _tr_c[1], _in_2c[1] cdef FMField _vec_inv_cs[1], _vec_es[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_cs, vec_cs) array2fmfield4(_tr_c, tr_c) array2fmfield4(_in_2c, in_2c) array2fmfield4(_vec_inv_cs, vec_inv_cs) array2fmfield4(_vec_es, vec_es) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_finite_strain_tl(_mtx_f, _det_f, _vec_cs, _tr_c, _in_2c, _vec_inv_cs, _vec_es, _state, 0, cmap.geo, _conn, n_el, n_ep) if ret: raise ValueError('ccore error (see above)') return ret def dq_finite_strain_ul(np.ndarray mtx_f not None, np.ndarray det_f not None, np.ndarray vec_bs not None, np.ndarray tr_b not None, np.ndarray in_2b not None, np.ndarray vec_es not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _mtx_f[1], _det_f[1], _vec_bs[1], _tr_b[1], _in_2b[1] cdef FMField _vec_es[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_bs, vec_bs) array2fmfield4(_tr_b, tr_b) array2fmfield4(_in_2b, in_2b) array2fmfield4(_vec_es, vec_es) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_finite_strain_ul(_mtx_f, _det_f, _vec_bs, _tr_b, _in_2b, _vec_es, _state, 0, cmap.geo, _conn, n_el, n_ep) if ret: raise ValueError('ccore error (see above)') return ret def dq_tl_finite_strain_surface(np.ndarray mtx_f not None, np.ndarray det_f not None, np.ndarray mtx_fi not None, np.ndarray state not None, CMapping cmap not None, np.ndarray fis not None, np.ndarray conn not None): cdef int32 ret cdef FMField _mtx_f[1], _det_f[1], _mtx_fi[1], _state[1] cdef int32 *_conn, n_el, n_ep, *_fis, n_fa, n_fp array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_det_f, det_f) array2fmfield4(_mtx_fi, mtx_fi) array2fmfield1(_state, state) array2pint2(&_fis, &n_fa, &n_fp, fis) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_tl_finite_strain_surface(_mtx_f, _det_f, _mtx_fi, _state, 0, cmap.geo, _fis, n_fa, n_fp, _conn, n_el, n_ep) if ret: raise ValueError('ccore error (see above)') return ret def dq_tl_he_stress_bulk(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_stress_bulk(_out, _mat, _det_f, _vec_inv_cs) return ret def dq_ul_he_stress_bulk(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) ret = _dq_ul_he_stress_bulk(_out, _mat, _det_f) return ret def dq_tl_he_stress_bulk_active(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_stress_bulk_active(_out, _mat, _det_f, _vec_inv_cs) return ret def dq_tl_he_stress_neohook(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_c not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_c[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_c, tr_c) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_stress_neohook(_out, _mat, _det_f, _tr_c, _vec_inv_cs) return ret def dq_ul_he_stress_neohook(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_b not None, np.ndarray vec_bs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_b[1], _vec_bs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_b, tr_b) array2fmfield4(_vec_bs, vec_bs) ret = _dq_ul_he_stress_neohook(_out, _mat, _det_f, _tr_b, _vec_bs) return ret def dq_tl_he_stress_mooney_rivlin(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_c not None, np.ndarray vec_inv_cs not None, np.ndarray vec_cs not None, np.ndarray in_2c not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_c[1], _vec_inv_cs[1] cdef FMField _vec_cs[1], _in_2c[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_c, tr_c) array2fmfield4(_vec_inv_cs, vec_inv_cs) array2fmfield4(_vec_cs, vec_cs) array2fmfield4(_in_2c, in_2c) ret = _dq_tl_he_stress_mooney_rivlin(_out, _mat, _det_f, _tr_c, _vec_inv_cs, _vec_cs, _in_2c) return ret def dq_ul_he_stress_mooney_rivlin(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_b not None, np.ndarray vec_bs not None, np.ndarray in_2b not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_b[1], _vec_bs[1], _in_2b[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_b, tr_b) array2fmfield4(_vec_bs, vec_bs) array2fmfield4(_in_2b, in_2b) ret = _dq_ul_he_stress_mooney_rivlin(_out, _mat, _det_f, _tr_b, _vec_bs, _in_2b) return ret def dq_tl_he_tan_mod_bulk(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_tan_mod_bulk(_out, _mat, _det_f, _vec_inv_cs) return ret def dq_ul_he_tan_mod_bulk(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) ret = _dq_ul_he_tan_mod_bulk(_out, _mat, _det_f) return ret def dq_tl_he_tan_mod_bulk_active(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_tan_mod_bulk_active(_out, _mat, _det_f, _vec_inv_cs) return ret def dq_tl_he_tan_mod_neohook(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_c not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_c[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_c, tr_c) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_he_tan_mod_neohook(_out, _mat, _det_f, _tr_c, _vec_inv_cs) return ret def dq_ul_he_tan_mod_neohook(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_b not None, np.ndarray vec_bs not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_b[1], _vec_bs[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_b, tr_b) array2fmfield4(_vec_bs, vec_bs) ret = _dq_ul_he_tan_mod_neohook(_out, _mat, _det_f, _tr_b, _vec_bs) return ret def dq_tl_he_tan_mod_mooney_rivlin(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_c not None, np.ndarray vec_inv_cs not None, np.ndarray vec_cs not None, np.ndarray in_2c not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_c[1], _vec_inv_cs[1] cdef FMField _vec_cs[1], _in_2c[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_c, tr_c) array2fmfield4(_vec_inv_cs, vec_inv_cs) array2fmfield4(_vec_cs, vec_cs) array2fmfield4(_in_2c, in_2c) ret = _dq_tl_he_tan_mod_mooney_rivlin(_out, _mat, _det_f, _tr_c, _vec_inv_cs, _vec_cs, _in_2c) return ret def dq_ul_he_tan_mod_mooney_rivlin(np.ndarray out not None, np.ndarray mat not None, np.ndarray det_f not None, np.ndarray tr_b not None, np.ndarray vec_bs not None, np.ndarray in_2b not None): cdef int32 ret cdef FMField _out[1], _mat[1], _det_f[1], _tr_b[1], _vec_bs[1], _in_2b[1] array2fmfield4(_out, out) array2fmfield4(_mat, mat) array2fmfield4(_det_f, det_f) array2fmfield4(_tr_b, tr_b) array2fmfield4(_vec_bs, vec_bs) array2fmfield4(_in_2b, in_2b) ret = _dq_ul_he_tan_mod_mooney_rivlin(_out, _mat, _det_f, _tr_b, _vec_bs, _in_2b) return ret def dw_he_rtm(np.ndarray out not None, np.ndarray stress not None, np.ndarray tan_mod not None, np.ndarray mtx_f not None, np.ndarray det_f not None, CMapping cmap not None, int32 is_diff, int32 mode_ul): cdef int32 ret cdef FMField _out[1], _stress[1], _tan_mod[1], _mtx_f[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_stress, stress) array2fmfield4(_tan_mod, tan_mod) array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_det_f, det_f) ret = _dw_he_rtm(_out, _stress, _tan_mod, _mtx_f, _det_f, cmap.geo, is_diff, mode_ul) return ret def de_he_rtm(np.ndarray out not None, np.ndarray stress not None, np.ndarray det_f not None, CMapping cmap not None, np.ndarray el_list not None, int32 mode_ul): cdef int32 ret cdef FMField _out[1], _stress[1], _det_f[1] cdef int32 *_el_list, n_el array2fmfield4(_out, out) array2fmfield4(_stress, stress) array2fmfield4(_det_f, det_f) array2pint1(&_el_list, &n_el, el_list) ret = _de_he_rtm(_out, _stress, _det_f, cmap.geo, _el_list, n_el, mode_ul) return ret def dq_tl_stress_bulk_pressure(np.ndarray out not None, np.ndarray pressure_qp not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _pressure_qp[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_pressure_qp, pressure_qp) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_stress_bulk_pressure(_out, _pressure_qp, _det_f, _vec_inv_cs) return ret def dq_ul_stress_bulk_pressure(np.ndarray out not None, np.ndarray pressure_qp not None, np.ndarray det_f not None): cdef int32 ret cdef FMField _out[1], _pressure_qp[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_pressure_qp, pressure_qp) array2fmfield4(_det_f, det_f) ret = _dq_ul_stress_bulk_pressure(_out, _pressure_qp, _det_f) return ret def dq_tl_tan_mod_bulk_pressure_u(np.ndarray out not None, np.ndarray pressure_qp not None, np.ndarray det_f not None, np.ndarray vec_inv_cs not None): cdef int32 ret cdef FMField _out[1], _pressure_qp[1], _det_f[1], _vec_inv_cs[1] array2fmfield4(_out, out) array2fmfield4(_pressure_qp, pressure_qp) array2fmfield4(_det_f, det_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) ret = _dq_tl_tan_mod_bulk_pressure_u(_out, _pressure_qp, _det_f, _vec_inv_cs) return ret def dq_ul_tan_mod_bulk_pressure_u(np.ndarray out not None, np.ndarray pressure_qp not None, np.ndarray det_f not None): cdef int32 ret cdef FMField _out[1], _pressure_qp[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_pressure_qp, pressure_qp) array2fmfield4(_det_f, det_f) ret = _dq_ul_tan_mod_bulk_pressure_u(_out, _pressure_qp, _det_f) return ret def dw_tl_volume(np.ndarray out not None, np.ndarray mtx_f not None, np.ndarray vec_inv_cs not None, np.ndarray det_f not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 transpose, int32 mode): cdef int32 ret cdef FMField _out[1], _mtx_f[1], _vec_inv_cs[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_vec_inv_cs, vec_inv_cs) array2fmfield4(_det_f, det_f) ret = _dw_tl_volume(_out, _mtx_f, _vec_inv_cs, _det_f, cmap_s.geo, cmap_v.geo, transpose, mode) return ret def dw_ul_volume(np.ndarray out not None, np.ndarray det_f not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 transpose, int32 mode): cdef int32 ret cdef FMField _out[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_det_f, det_f) ret = _dw_ul_volume(_out, _det_f, cmap_s.geo, cmap_v.geo, transpose, mode) return ret def dw_tl_diffusion(np.ndarray out not None, np.ndarray pressure_grad not None, np.ndarray mtx_d not None, np.ndarray ref_porosity not None, np.ndarray mtx_f not None, np.ndarray det_f not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _pressure_grad[1], _mtx_d[1], _ref_porosity[1] cdef FMField _mtx_f[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_pressure_grad, pressure_grad) array2fmfield4(_mtx_d, mtx_d) array2fmfield4(_ref_porosity, ref_porosity) array2fmfield4(_mtx_f, mtx_f) array2fmfield4(_det_f, det_f) ret = _dw_tl_diffusion(_out, _pressure_grad, _mtx_d, _ref_porosity, _mtx_f, _det_f, cmap.geo, mode) return ret def d_tl_surface_flux(np.ndarray out not None, np.ndarray pressure_grad not None, np.ndarray mtx_d not None, np.ndarray ref_porosity not None, np.ndarray mtx_fi not None, np.ndarray det_f not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _pressure_grad[1], _mtx_d[1], _ref_porosity[1] cdef FMField _mtx_fi[1], _det_f[1] array2fmfield4(_out, out) array2fmfield4(_pressure_grad, pressure_grad) array2fmfield4(_mtx_d, mtx_d) array2fmfield4(_ref_porosity, ref_porosity) array2fmfield4(_mtx_fi, mtx_fi) array2fmfield4(_det_f, det_f) ret = _d_tl_surface_flux(_out, _pressure_grad, _mtx_d, _ref_porosity, _mtx_fi, _det_f, cmap.geo, mode) return ret def dw_tl_surface_traction(np.ndarray out not None, np.ndarray traction not None, np.ndarray det_f not None, np.ndarray mtx_fi not None, np.ndarray bf not None, CMapping cmap not None, np.ndarray fis not None, int32 mode): cdef int32 ret cdef FMField _out[1], _traction[1], _det_f[1], _mtx_fi[1], _bf[1] cdef int32 *_fis, n_fa, n_fp array2fmfield4(_out, out) array2fmfield4(_traction, traction) array2fmfield4(_det_f, det_f) array2fmfield4(_mtx_fi, mtx_fi) array2fmfield4(_bf, bf) array2pint2(&_fis, &n_fa, &n_fp, fis) ret = _dw_tl_surface_traction(_out, _traction, _det_f, _mtx_fi, _bf, cmap.geo, _fis, n_fa, n_fp, mode) return ret def d_tl_volume_surface(np.ndarray out not None, np.ndarray coors not None, np.ndarray det_f not None, np.ndarray mtx_fi not None, np.ndarray bf not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _coors[1], _det_f[1], _mtx_fi[1], _bf[1] cdef int32 *_conn, n_fa, n_fp array2fmfield4(_out, out) array2fmfield2(_coors, coors) array2fmfield4(_det_f, det_f) array2fmfield4(_mtx_fi, mtx_fi) array2fmfield4(_bf, bf) array2pint2(&_conn, &n_fa, &n_fp, conn) ret = _d_tl_volume_surface(_out, _coors, _det_f, _mtx_fi, _bf, cmap.geo, _conn, n_fa, n_fp) return ret def dq_def_grad(np.ndarray out not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_def_grad(_out, _state, cmap.geo, _conn, n_el, n_ep, mode) return ret def he_residuum_from_mtx(np.ndarray out not None, np.ndarray mtx_d not None, np.ndarray state not None, np.ndarray conn not None, np.ndarray el_list not None): cdef int32 ret cdef FMField _out[1], _mtx_d[1], _state[1] cdef int32 *_conn, n_el, n_ep, *_el_list, n_el2 array2fmfield4(_out, out) array2fmfield4(_mtx_d, mtx_d) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) array2pint1(&_el_list, &n_el2, el_list) ret = _he_residuum_from_mtx(_out, _mtx_d, _state, _conn, n_el, n_ep, _el_list, n_el2) return ret def he_eval_from_mtx(np.ndarray out not None, np.ndarray mtx_d not None, np.ndarray state_v not None, np.ndarray state_u not None, np.ndarray conn not None, np.ndarray el_list not None): cdef int32 ret cdef FMField _out[1], _mtx_d[1], _state_v[1], _state_u[1] cdef int32 *_conn, n_el, n_ep, *_el_list, n_el2 array2fmfield4(_out, out) array2fmfield4(_mtx_d, mtx_d) array2fmfield1(_state_v, state_v) array2fmfield1(_state_u, state_u) array2pint2(&_conn, &n_el, &n_ep, conn) array2pint1(&_el_list, &n_el2, el_list) ret = _he_eval_from_mtx(_out, _mtx_d, _state_v, _state_u, _conn, n_el, n_ep, _el_list, n_el2) return ret def dw_laplace(np.ndarray out not None, np.ndarray grad not None, np.ndarray coef not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_coef, coef) ret = _dw_laplace(_out, _grad, _coef, cmap.geo, is_diff) return ret def d_laplace(np.ndarray out not None, np.ndarray grad_p1 not None, np.ndarray grad_p2 not None, np.ndarray coef not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad_p1[1], _grad_p2[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_grad_p1, grad_p1) array2fmfield4(_grad_p2, grad_p2) array2fmfield4(_coef, coef) ret = _d_laplace(_out, _grad_p1, _grad_p2, _coef, cmap.geo) return ret def dw_diffusion(np.ndarray out not None, np.ndarray grad not None, np.ndarray mtx_d not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_mtx_d, mtx_d) ret = _dw_diffusion(_out, _grad, _mtx_d, cmap.geo, is_diff) return ret def d_diffusion(np.ndarray out not None, np.ndarray grad_p1 not None, np.ndarray grad_p2 not None, np.ndarray mtx_d not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad_p1[1], _grad_p2[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_grad_p1, grad_p1) array2fmfield4(_grad_p2, grad_p2) array2fmfield4(_mtx_d, mtx_d) ret = _d_diffusion(_out, _grad_p1, _grad_p2, _mtx_d, cmap.geo) return ret def dw_diffusion_r(np.ndarray out not None, np.ndarray mtx_d not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_mtx_d, mtx_d) ret = _dw_diffusion_r(_out, _mtx_d, cmap.geo) return ret def d_surface_flux(np.ndarray out not None, np.ndarray grad not None, np.ndarray mtx_d not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _grad[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_mtx_d, mtx_d) ret = _d_surface_flux(_out, _grad, _mtx_d, cmap.geo, mode) return ret def dw_surface_flux(np.ndarray out not None, np.ndarray grad not None, np.ndarray mat not None, np.ndarray bf not None, CMapping cmap not None, np.ndarray fis not None, int32 mode): cdef int32 ret cdef FMField _out[1], _grad[1], _mat[1], _bf[1] cdef int32 *_fis, n_fa, n_fp array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_mat, mat) array2fmfield4(_bf, bf) array2pint2(&_fis, &n_fa, &n_fp, fis) ret = _dw_surface_flux(_out, _grad, _mat, _bf, cmap.geo, _fis, n_fa, n_fp, mode) return ret def dw_convect_v_grad_s(np.ndarray out not None, np.ndarray val_v not None, np.ndarray grad_s not None, CMapping cmap_v not None, CMapping cmap_s not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _val_v[1], _grad_s[1] array2fmfield4(_out, out) array2fmfield4(_val_v, val_v) array2fmfield4(_grad_s, grad_s) ret = _dw_convect_v_grad_s(_out, _val_v, _grad_s, cmap_v.geo, cmap_s.geo, is_diff) return ret def dw_lin_elastic_iso(np.ndarray out not None, np.ndarray strain not None, np.ndarray lam not None, np.ndarray mu not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _strain[1], _lam[1], _mu[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_lam, lam) array2fmfield4(_mu, mu) ret = _dw_lin_elastic_iso(_out, _strain, _lam, _mu, cmap.geo, is_diff) return ret def dw_lin_elastic(np.ndarray out not None, float64 coef, np.ndarray strain not None, np.ndarray mtx_d not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _strain[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_mtx_d, mtx_d) ret = _dw_lin_elastic(_out, coef, _strain, _mtx_d, cmap.geo, is_diff) return ret def d_lin_elastic(np.ndarray out not None, float64 coef, np.ndarray strain_v not None, np.ndarray strain_u not None, np.ndarray mtx_d not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _strain_u[1], _strain_v[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_strain_u, strain_u) array2fmfield4(_strain_v, strain_v) array2fmfield4(_mtx_d, mtx_d) ret = _d_lin_elastic(_out, coef, _strain_u, _strain_v, _mtx_d, cmap.geo) return ret def dw_lin_prestress(np.ndarray out not None, np.ndarray stress not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _stress[1] array2fmfield4(_out, out) array2fmfield4(_stress, stress) ret = _dw_lin_prestress(_out, _stress, cmap.geo) return ret def dw_lin_strain_fib(np.ndarray out not None, np.ndarray mtx_d not None, np.ndarray mat not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _mtx_d[1], _mat[1] array2fmfield4(_out, out) array2fmfield4(_mtx_d, mtx_d) array2fmfield4(_mat, mat) ret = _dw_lin_strain_fib(_out, _mtx_d, _mat, cmap.geo) return ret def de_cauchy_strain(np.ndarray out not None, np.ndarray strain not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _strain[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) ret = _de_cauchy_strain(_out, _strain, cmap.geo, mode) return ret def de_cauchy_stress(np.ndarray out not None, np.ndarray strain not None, np.ndarray mtx_d not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _strain[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_mtx_d, mtx_d) ret = _de_cauchy_stress(_out, _strain, _mtx_d, cmap.geo, mode) return ret def dq_cauchy_strain(np.ndarray out not None, np.ndarray state not None, CMapping cmap not None, np.ndarray conn not None): cdef int32 ret cdef FMField _out[1], _state[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state, state) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dq_cauchy_strain(_out, _state, 0, cmap.geo, _conn, n_el, n_ep) return ret def dw_surface_ltr(np.ndarray out not None, np.ndarray traction not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _traction[1] array2fmfield4(_out, out) array2fmfield4(_traction, traction) ret = _dw_surface_ltr(_out, _traction, cmap.geo) return ret def dw_volume_lvf(np.ndarray out not None, np.ndarray force_qp not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _force_qp[1] array2fmfield4(_out, out) array2fmfield4(_force_qp, force_qp) ret = _dw_volume_lvf(_out, _force_qp, cmap.geo) return ret def dw_surface_v_dot_n_s(np.ndarray out not None, np.ndarray coef not None, np.ndarray val_qp not None, CMapping rcmap not None, CMapping ccmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _val_qp[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_val_qp, val_qp) ret = _dw_surface_v_dot_n_s(_out, _coef, _val_qp, rcmap.geo, ccmap.geo, is_diff) return ret def dw_surface_s_v_dot_n(np.ndarray out not None, np.ndarray coef not None, np.ndarray val_qp not None, CMapping rcmap not None, CMapping ccmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _val_qp[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_val_qp, val_qp) ret = _dw_surface_s_v_dot_n(_out, _coef, _val_qp, rcmap.geo, ccmap.geo, is_diff) return ret def dw_volume_dot_vector(np.ndarray out not None, np.ndarray coef not None, np.ndarray val_qp not None, CMapping rcmap not None, CMapping ccmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _val_qp[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_val_qp, val_qp) ret = _dw_volume_dot_vector(_out, _coef, _val_qp, rcmap.geo, ccmap.geo, is_diff) return ret def dw_volume_dot_scalar(np.ndarray out not None, np.ndarray coef not None, np.ndarray val_qp not None, CMapping rcmap not None, CMapping ccmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _val_qp[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_val_qp, val_qp) ret = _dw_volume_dot_scalar(_out, _coef, _val_qp, rcmap.geo, ccmap.geo, is_diff) return ret def dw_v_dot_grad_s_vw(np.ndarray out not None, np.ndarray coef not None, np.ndarray grad not None, CMapping cmap_v not None, CMapping cmap_s not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _grad[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_grad, grad) ret = _dw_v_dot_grad_s_vw(_out, _coef, _grad, cmap_v.geo, cmap_s.geo, is_diff) return ret def dw_v_dot_grad_s_sw(np.ndarray out not None, np.ndarray coef not None, np.ndarray val_qp not None, CMapping cmap_v not None, CMapping cmap_s not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _val_qp[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_val_qp, val_qp) ret = _dw_v_dot_grad_s_sw(_out, _coef, _val_qp, cmap_v.geo, cmap_s.geo, is_diff) return ret def term_ns_asm_div_grad(np.ndarray out not None, np.ndarray grad not None, np.ndarray viscosity not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _viscosity[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_viscosity, viscosity) ret = _term_ns_asm_div_grad(_out, _grad, _viscosity, cmap.geo, is_diff) return ret def term_ns_asm_convect(np.ndarray out not None, np.ndarray grad not None, np.ndarray state not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _state[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_state, state) ret = _term_ns_asm_convect(_out, _grad, _state, cmap.geo, is_diff) return ret def dw_lin_convect(np.ndarray out not None, np.ndarray grad not None, np.ndarray state_b not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _state_b[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_state_b, state_b) ret = _dw_lin_convect(_out, _grad, _state_b, cmap.geo, is_diff) return ret def dw_div(np.ndarray out not None, np.ndarray coef not None, np.ndarray div not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _div[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_div, div) ret = _dw_div(_out, _coef, _div, cmap_s.geo, cmap_v.geo, is_diff) return ret def dw_grad(np.ndarray out not None, np.ndarray coef not None, np.ndarray state not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _coef[1], _state[1] array2fmfield4(_out, out) array2fmfield4(_coef, coef) array2fmfield4(_state, state) ret = _dw_grad(_out, _coef, _state, cmap_s.geo, cmap_v.geo, is_diff) return ret def dw_st_pspg_c(np.ndarray out not None, np.ndarray state_b not None, np.ndarray state_u not None, np.ndarray coef not None, CMapping cmap_p not None, CMapping cmap_u not None, np.ndarray conn not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_b[1], _state_u[1], _coef[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield4(_state_b, state_b) array2fmfield1(_state_u, state_u) array2fmfield4(_coef, coef) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dw_st_pspg_c(_out, _state_b, _state_u, _coef, cmap_p.geo, cmap_u.geo, _conn, n_el, n_ep, is_diff) return ret def dw_st_supg_p(np.ndarray out not None, np.ndarray state_b not None, np.ndarray grad_p not None, np.ndarray coef not None, CMapping cmap_u not None, CMapping cmap_p not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_b[1], _grad_p[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_state_b, state_b) array2fmfield4(_grad_p, grad_p) array2fmfield4(_coef, coef) ret = _dw_st_supg_p(_out, _state_b, _grad_p, _coef, cmap_u.geo, cmap_p.geo, is_diff) return ret def dw_st_supg_c(np.ndarray out not None, np.ndarray state_b not None, np.ndarray state_u not None, np.ndarray coef not None, CMapping cmap not None, np.ndarray conn not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_b[1], _state_u[1], _coef[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield4(_state_b, state_b) array2fmfield1(_state_u, state_u) array2fmfield4(_coef, coef) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dw_st_supg_c(_out, _state_b, _state_u, _coef, cmap.geo, _conn, n_el, n_ep, is_diff) return ret def dw_st_grad_div(np.ndarray out not None, np.ndarray div not None, np.ndarray coef not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _div[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_div, div) array2fmfield4(_coef, coef) ret = _dw_st_grad_div(_out, _div, _coef, cmap.geo, is_diff) return ret def dw_biot_grad(np.ndarray out not None, float64 coef, np.ndarray pressure_qp not None, np.ndarray mtx_d not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _pressure_qp[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_pressure_qp, pressure_qp) array2fmfield4(_mtx_d, mtx_d) ret = _dw_biot_grad(_out, coef, _pressure_qp, _mtx_d, cmap_s.geo, cmap_v.geo, is_diff) return ret def dw_biot_div(np.ndarray out not None, float64 coef, np.ndarray strain not None, np.ndarray mtx_d not None, CMapping cmap_s not None, CMapping cmap_v not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _strain[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_mtx_d, mtx_d) ret = _dw_biot_div(_out, coef, _strain, _mtx_d, cmap_s.geo, cmap_v.geo, is_diff) return ret def d_biot_div(np.ndarray out not None, float64 coef, np.ndarray state not None, np.ndarray strain not None, np.ndarray mtx_d not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _state[1], _strain[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_state, state) array2fmfield4(_strain, strain) array2fmfield4(_mtx_d, mtx_d) ret = _d_biot_div(_out, coef, _state, _strain, _mtx_d, cmap.geo) return ret def dw_piezo_coupling(np.ndarray out not None, np.ndarray strain not None, np.ndarray charge_grad not None, np.ndarray mtx_g not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _strain[1], _charge_grad[1], _mtx_g[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_charge_grad, charge_grad) array2fmfield4(_mtx_g, mtx_g) ret = _dw_piezo_coupling(_out, _strain, _charge_grad, _mtx_g, cmap.geo, mode) return ret def d_piezo_coupling(np.ndarray out not None, np.ndarray strain not None, np.ndarray charge_grad not None, np.ndarray mtx_g not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _strain[1], _charge_grad[1], _mtx_g[1] array2fmfield4(_out, out) array2fmfield4(_strain, strain) array2fmfield4(_charge_grad, charge_grad) array2fmfield4(_mtx_g, mtx_g) ret = _d_piezo_coupling(_out, _strain, _charge_grad, _mtx_g, cmap.geo) return ret def dw_electric_source(np.ndarray out not None, np.ndarray grad not None, np.ndarray coef not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_coef, coef) ret = _dw_electric_source(_out, _grad, _coef, cmap.geo) return ret def d_diffusion_sa(np.ndarray out not None, np.ndarray grad_q not None, np.ndarray grad_p not None, np.ndarray grad_w not None, np.ndarray div_w not None, np.ndarray mtx_d not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad_q[1], _grad_p[1], _grad_w[1], _div_w[1], _mtx_d[1] array2fmfield4(_out, out) array2fmfield4(_grad_q, grad_q) array2fmfield4(_grad_p, grad_p) array2fmfield4(_grad_w, grad_w) array2fmfield4(_div_w, div_w) array2fmfield4(_mtx_d, mtx_d) ret = _d_diffusion_sa(_out, _grad_q, _grad_p, _grad_w, _div_w, _mtx_d, cmap.geo) return ret def dw_surf_laplace(np.ndarray out not None, np.ndarray grad not None, np.ndarray coef not None, np.ndarray gbf not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad[1], _coef[1], _gbf[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_coef, coef) array2fmfield3(_gbf, gbf) ret = _dw_surf_laplace(_out, _grad, _coef, _gbf, cmap.geo, is_diff) return ret def d_surf_laplace(np.ndarray out not None, np.ndarray grad_p not None, np.ndarray grad_q not None, np.ndarray coef not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad_p[1], _grad_q[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_grad_p, grad_p) array2fmfield4(_grad_q, grad_q) array2fmfield4(_coef, coef) ret = _d_surf_laplace(_out, _grad_p, _grad_q, _coef, cmap.geo) return ret def dw_surf_lcouple(np.ndarray out not None, np.ndarray state not None, np.ndarray coef not None, np.ndarray bf not None, np.ndarray gbf not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state[1], _coef[1], _bf[1], _gbf[1] array2fmfield4(_out, out) array2fmfield4(_state, state) array2fmfield4(_coef, coef) array2fmfield3(_bf, bf) array2fmfield3(_gbf, gbf) ret = _dw_surf_lcouple(_out, _state, _coef, _bf, _gbf, cmap.geo, is_diff) return ret def d_surf_lcouple(np.ndarray out not None, np.ndarray state_p not None, np.ndarray grad_q not None, np.ndarray coef not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _state_p[1], _grad_q[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_state_p, state_p) array2fmfield4(_grad_q, grad_q) array2fmfield4(_coef, coef) ret = _d_surf_lcouple(_out, _state_p, _grad_q, _coef, cmap.geo) return ret def mulATB_integrate(np.ndarray out not None, np.ndarray A not None, np.ndarray B not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _A[1], _B[1] array2fmfield4(_out, out) array2fmfield4(_A, A) array2fmfield4(_B, B) ret = _mulATB_integrate(_out, _A, _B, cmap.geo) return ret def dw_adj_convect1(np.ndarray out not None, np.ndarray state_w not None, np.ndarray grad_u not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_w[1], _grad_u[1] array2fmfield4(_out, out) array2fmfield4(_state_w, state_w) array2fmfield4(_grad_u, grad_u) ret = _dw_adj_convect1(_out, _state_w, _grad_u, cmap.geo, is_diff) return ret def dw_adj_convect2(np.ndarray out not None, np.ndarray state_w not None, np.ndarray state_u not None, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_w[1], _state_u[1] array2fmfield4(_out, out) array2fmfield4(_state_w, state_w) array2fmfield4(_state_u, state_u) ret = _dw_adj_convect2(_out, _state_w, _state_u, cmap.geo, is_diff) return ret def dw_st_adj_supg_c(np.ndarray out not None, np.ndarray state_w not None, np.ndarray state_u not None, np.ndarray grad_u not None, np.ndarray coef not None, CMapping cmap not None, np.ndarray conn not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_w[1], _state_u[1], _grad_u[1], _coef[1] cdef int32 *_conn, n_el, n_ep array2fmfield4(_out, out) array2fmfield1(_state_w, state_w) array2fmfield4(_state_u, state_u) array2fmfield4(_grad_u, grad_u) array2fmfield4(_coef, coef) array2pint2(&_conn, &n_el, &n_ep, conn) ret = _dw_st_adj_supg_c(_out, _state_w, _state_u, _grad_u, _coef, cmap.geo, _conn, n_el, n_ep, is_diff) return ret def dw_st_adj1_supg_p(np.ndarray out not None, np.ndarray state_w not None, np.ndarray grad_p not None, np.ndarray coef not None, CMapping cmap_w not None, np.ndarray conn_w not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _state_w[1], _grad_p[1], _coef[1] cdef int32 *_conn_w, n_el_w, n_ep_w array2fmfield4(_out, out) array2fmfield1(_state_w, state_w) array2fmfield4(_grad_p, grad_p) array2fmfield4(_coef, coef) array2pint2(&_conn_w, &n_el_w, &n_ep_w, conn_w) ret = _dw_st_adj1_supg_p(_out, _state_w, _grad_p, _coef, cmap_w.geo, _conn_w, n_el_w, n_ep_w, is_diff) return ret def dw_st_adj2_supg_p(np.ndarray out not None, np.ndarray grad_u not None, np.ndarray state_r not None, np.ndarray coef not None, CMapping cmap_u not None, CMapping cmap_r not None, np.ndarray conn_r not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _grad_u[1], _state_r[1], _coef[1] cdef int32 *_conn_r, n_el_r, n_ep_r array2fmfield4(_out, out) array2fmfield4(_grad_u, grad_u) array2fmfield1(_state_r, state_r) array2fmfield4(_coef, coef) array2pint2(&_conn_r, &n_el_r, &n_ep_r, conn_r) ret = _dw_st_adj2_supg_p(_out, _grad_u, _state_r, _coef, cmap_u.geo, cmap_r.geo, _conn_r, n_el_r, n_ep_r, is_diff) return ret def d_of_nsMinGrad(np.ndarray out not None, np.ndarray grad not None, np.ndarray viscosity not None, CMapping cmap not None): cdef int32 ret cdef FMField _out[1], _grad[1], _viscosity[1] array2fmfield4(_out, out) array2fmfield4(_grad, grad) array2fmfield4(_viscosity, viscosity) ret = _d_of_nsMinGrad(_out, _grad, _viscosity, cmap.geo) return ret def d_of_nsSurfMinDPress(np.ndarray out not None, np.ndarray pressure not None, float64 weight, float64 bpress, CMapping cmap not None, int32 is_diff): cdef int32 ret cdef FMField _out[1], _pressure[1] array2fmfield4(_out, out) array2fmfield4(_pressure, pressure) ret = _d_of_nsSurfMinDPress(_out, _pressure, weight, bpress, cmap.geo, is_diff) return ret def d_sd_div(np.ndarray out not None, np.ndarray div_u not None, np.ndarray grad_u not None, np.ndarray state_p not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state_p[1], _div_u[1], _grad_u[1] cdef FMField _div_mv[1], _grad_mv[1] array2fmfield4(_out, out) array2fmfield4(_div_u, div_u) array2fmfield4(_grad_u, grad_u) array2fmfield4(_state_p, state_p) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) ret = _d_sd_div(_out, _div_u, _grad_u, _state_p, _div_mv, _grad_mv, cmap_u.geo, mode) return ret def d_sd_div_grad(np.ndarray out not None, np.ndarray grad_u not None, np.ndarray grad_w not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, np.ndarray viscosity not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _grad_u[1], _grad_w[1], _div_mv[1], _grad_mv[1] cdef FMField _viscosity[1] array2fmfield4(_out, out) array2fmfield4(_grad_u, grad_u) array2fmfield4(_grad_w, grad_w) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) array2fmfield4(_viscosity, viscosity) ret = _d_sd_div_grad(_out, _grad_u, _grad_w, _div_mv, _grad_mv, _viscosity, cmap_u.geo, mode) return ret def d_sd_convect(np.ndarray out not None, np.ndarray state_u not None, np.ndarray grad_u not None, np.ndarray state_w not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state_u[1], _grad_u[1], _state_w[1] cdef FMField _div_mv[1], _grad_mv[1] array2fmfield4(_out, out) array2fmfield4(_state_u, state_u) array2fmfield4(_grad_u, grad_u) array2fmfield4(_state_w, state_w) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) ret = _d_sd_convect(_out, _state_u, _grad_u, _state_w, _div_mv, _grad_mv, cmap_u.geo, mode) return ret def d_sd_volume_dot(np.ndarray out not None, np.ndarray state_p not None, np.ndarray state_q not None, np.ndarray div_mv not None, CMapping cmap not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state_p[1], _state_q[1], _div_mv[1] array2fmfield4(_out, out) array2fmfield4(_state_p, state_p) array2fmfield4(_state_q, state_q) array2fmfield4(_div_mv, div_mv) ret = _d_sd_volume_dot(_out, _state_p, _state_q, _div_mv, cmap.geo, mode) return ret def d_sd_st_grad_div(np.ndarray out not None, np.ndarray div_u not None, np.ndarray grad_u not None, np.ndarray div_w not None, np.ndarray grad_w not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, np.ndarray coef not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _div_u[1], _grad_u[1], _div_w[1], _grad_w[1] cdef FMField _div_mv[1], _grad_mv[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_div_u, div_u) array2fmfield4(_grad_u, grad_u) array2fmfield4(_div_w, div_w) array2fmfield4(_grad_w, grad_w) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) array2fmfield4(_coef, coef) ret = _d_sd_st_grad_div(_out, _div_u, _grad_u, _div_w, _grad_w, _div_mv, _grad_mv, _coef, cmap_u.geo, mode) return ret def d_sd_st_supg_c(np.ndarray out not None, np.ndarray state_b not None, np.ndarray grad_u not None, np.ndarray grad_w not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, np.ndarray coef not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state_b[1], _grad_u[1], _grad_w[1] cdef FMField _div_mv[1], _grad_mv[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_state_b, state_b) array2fmfield4(_grad_u, grad_u) array2fmfield4(_grad_w, grad_w) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) array2fmfield4(_coef, coef) ret = _d_sd_st_supg_c(_out, _state_b, _grad_u, _grad_w, _div_mv, _grad_mv, _coef, cmap_u.geo, mode) return ret def d_sd_st_pspg_c(np.ndarray out not None, np.ndarray state_b not None, np.ndarray grad_u not None, np.ndarray grad_r not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, np.ndarray coef not None, CMapping cmap_u not None, int32 mode): cdef int32 ret cdef FMField _out[1], _state_b[1], _grad_u[1], _grad_r[1] cdef FMField _div_mv[1], _grad_mv[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_state_b, state_b) array2fmfield4(_grad_u, grad_u) array2fmfield4(_grad_r, grad_r) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) array2fmfield4(_coef, coef) ret = _d_sd_st_pspg_c(_out, _state_b, _grad_u, _grad_r, _div_mv, _grad_mv, _coef, cmap_u.geo, mode) return ret def d_sd_st_pspg_p(np.ndarray out not None, np.ndarray grad_r not None, np.ndarray grad_p not None, np.ndarray div_mv not None, np.ndarray grad_mv not None, np.ndarray coef not None, CMapping cmap_p not None, int32 mode): cdef int32 ret cdef FMField _out[1], _grad_r[1], _grad_p[1] cdef FMField _div_mv[1], _grad_mv[1], _coef[1] array2fmfield4(_out, out) array2fmfield4(_grad_r, grad_r) array2fmfield4(_grad_p, grad_p) array2fmfield4(_div_mv, div_mv) array2fmfield4(_grad_mv, grad_mv) array2fmfield4(_coef, coef) ret = _d_sd_st_pspg_p(_out, _grad_r, _grad_p, _div_mv, _grad_mv, _coef, cmap_p.geo, mode) return ret sfepy-release_2015.1/sfepy/terms/extmods/terms_acoustic.c000066400000000000000000000121501247364230400235670ustar00rootroot00000000000000#include "terms_acoustic.h" #include "terms.h" #undef __FUNC__ #define __FUNC__ "d_diffusion_sa" int32 d_diffusion_sa( FMField *out, FMField *grad_q, FMField *grad_p, FMField *grad_w, FMField *div_w, FMField *mtxD, Mapping *vg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *aux2 = 0, *aux3 = 0, *aux4 = 0, *out0 = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; FMF_SetFirst( out ); fmf_createAlloc( &aux2, 1, nQP, dim, 1 ); fmf_createAlloc( &aux3, 1, nQP, 1, 1 ); fmf_createAlloc( &aux4, 1, nQP, dim, 1 ); fmf_createAlloc( &out0, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( grad_q, ii ); FMF_SetCell( grad_p, ii ); FMF_SetCell( grad_w, ii ); FMF_SetCell( div_w, ii ); /* div w K_ij grad_j q grad_i p */ fmf_mulAB_nn( aux2, mtxD, grad_p ); fmf_mulATB_nn( aux3, grad_q, aux2 ); fmf_mulAB_nn( out0, div_w, aux3 ); /* grad_k q K_ij grad_j w_k grad_i p */ fmf_mulATB_nn( aux4, grad_w, aux2 ); fmf_mulATB_nn( aux3, grad_q, aux4 ); fmf_subAB_nn( out0, out0, aux3 ); /* grad_k q K_ij grad_j w_k grad_i p */ fmf_mulAB_nn( aux2, grad_w, grad_p ); fmf_mulAB_nn( aux4, mtxD, aux2 ); fmf_mulATB_nn( aux3, grad_q, aux4 ); fmf_subAB_nn( out0, out0, aux3 ); fmf_sumLevelsMulF( out, out0, vg->det->val ); FMF_SetCellNext( out ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &out0 ); fmf_freeDestroy( &aux2 ); fmf_freeDestroy( &aux3 ); fmf_freeDestroy( &aux4 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_surf_laplace" int32 dw_surf_laplace( FMField *out, FMField *grad, FMField *coef, FMField *gbf, Mapping *sg, int32 isDiff ) { int32 ii, nEP, dim, nQP, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = gbf->nLev; dim = gbf->nRow; nEP = gbf->nCol; fmf_createAlloc( &aux1, 1, nQP, nEP, dim ); if (isDiff) fmf_createAlloc( &aux2, 1, nQP, nEP, nEP ); else fmf_createAlloc( &aux2, 1, nQP, nEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { if (coef->nCell > 1) FMF_SetCell( coef, ii ); FMF_SetCell( out, ii ); FMF_SetCell( sg->det, ii ); fmf_mulATB_nn(aux1, gbf, coef); if (isDiff) { fmf_mulAB_nn(aux2, aux1, gbf); } else { FMF_SetCell(grad, ii); fmf_mulAB_nn(aux2, aux1, grad); } fmf_sumLevelsMulF(out, aux2, sg->det->val); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy(&aux1); fmf_freeDestroy(&aux2); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_surf_laplace" int32 d_surf_laplace( FMField *out, FMField *gradP, FMField *gradQ, FMField *coef, Mapping *sg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = gradP->nLev; dim = coef->nRow; fmf_createAlloc( &aux1, 1, nQP, dim, 1 ); fmf_createAlloc( &aux2, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { if (coef->nCell > 1) FMF_SetCell( coef, ii ); FMF_SetCell( out, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCell( gradP, ii ); FMF_SetCell( gradQ, ii ); fmf_mulAB_nn(aux1, coef, gradP); fmf_mulATB_nn(aux2, gradQ, aux1); fmf_sumLevelsMulF(out, aux2, sg->det->val); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux1 ); fmf_freeDestroy( &aux2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_surf_lcouple" int32 dw_surf_lcouple( FMField *out, FMField *state, FMField *coef, FMField *bf, FMField *gbf, Mapping *sg, int32 isDiff ) { int32 ii, nEP, dim, nQP, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = gbf->nLev; nEP = gbf->nCol; dim = coef->nCol; fmf_createAlloc(&aux1, 1, nQP, nEP, dim); if (isDiff) fmf_createAlloc(&aux2, 1, nQP, nEP, nEP); else fmf_createAlloc(&aux2, 1, nQP, nEP, 1); for (ii = 0; ii < out->nCell; ii++) { if (coef->nCell > 1) FMF_SetCell( coef, ii ); FMF_SetCell( out, ii ); FMF_SetCell( sg->det, ii ); fmf_mulATB_nn(aux1, gbf, coef); if (isDiff) { fmf_mulAB_nn(aux2, aux1, bf); } else { FMF_SetCell(state, ii); fmf_mulAB_nn(aux2, aux1, state); } fmf_sumLevelsMulF(out, aux2, sg->det->val); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy(&aux1); fmf_freeDestroy(&aux2); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_surf_lcouple" int32 d_surf_lcouple( FMField *out, FMField *stateP, FMField *gradQ, FMField *coef, Mapping *sg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = stateP->nLev; dim = coef->nRow; fmf_createAlloc(&aux1, 1, nQP, dim, 1); fmf_createAlloc(&aux2, 1, nQP, 1, 1); for (ii = 0; ii < out->nCell; ii++) { if (coef->nCell > 1) FMF_SetCell( coef, ii ); FMF_SetCell( out, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCell(stateP, ii); FMF_SetCell(gradQ, ii); fmf_mulAB_nn(aux1, coef, stateP); fmf_mulATB_nn(aux2, gradQ, aux1); fmf_sumLevelsMulF(out, aux2, sg->det->val); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy(&aux1); fmf_freeDestroy(&aux2); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_acoustic.h000066400000000000000000000015331247364230400235770ustar00rootroot00000000000000/*! @par Revision history: - 15.07.2008, c */ #ifndef _TERMSACOUSTIC_H_ #define _TERMSACOUSTIC_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 d_diffusion_sa( FMField *out, FMField *grad_q, FMField *grad_p, FMField *grad_w, FMField *div_w, FMField *mtxD, Mapping *vg ); int32 dw_surf_laplace( FMField *out, FMField *grad, FMField *coef, FMField *gbf, Mapping *sg, int32 isDiff ); int32 d_surf_laplace( FMField *out, FMField *gradP, FMField *gradQ, FMField *coef, Mapping *sg ); int32 dw_surf_lcouple( FMField *out, FMField *state, FMField *coef, FMField *bf, FMField *gbf, Mapping *sg, int32 isDiff ); int32 d_surf_lcouple( FMField *out, FMField *stateP, FMField *gradQ, FMField *coef, Mapping *sg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_adj_navier_stokes.c000066400000000000000000000627541247364230400254660ustar00rootroot00000000000000#include "terms_navier_stokes.h" #include "terms_adj_navier_stokes.h" #include "terms.h" #include "geommech.h" #undef __FUNC__ #define __FUNC__ "sub_mul_gradddgrad_scalar" /*! @par Revision history: - 24.10.2007, c */ int32 sub_mul_gradddgrad_scalar( FMField *out, FMField *grad1, FMField *grad2, FMField *scalar ) { int32 ir, ic, iqp; int32 nQP = scalar->nLev; int32 d2 = grad1->nRow; int32 dim = sqrt( d2 ); for (iqp = 0; iqp < nQP; iqp++) { for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < dim; ic++) { out->val[iqp] -= scalar->val[iqp] * grad1->val[d2*iqp+dim*ir+ic] * grad2->val[d2*iqp+dim*ic+ir]; } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "dw_adj_convect1" /*! @par Revision history: - 12.12.2005, c - 14.12.2005 - 22.03.2006 - 27.07.2006 */ int32 dw_adj_convect1( FMField *out, FMField *stateW, FMField *gradU, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *gf = 0, *ftgf = 0, *ftgfu = 0; FMField *gfu = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff) { fmf_createAlloc( &gf, 1, nQP, dim, dim * nEP ); fmf_createAlloc( &ftgf, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( &gfu, 1, nQP, dim, 1 ); fmf_createAlloc( &ftgfu, 1, nQP, dim * nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCellX1( vg->bf, ii ); if (isDiff) { bf_ract( gf, vg->bf, gradU ); bf_actt( ftgf, vg->bf, gf ); fmf_sumLevelsMulF( out, ftgf, vg->det->val ); } else { FMF_SetCell( stateW, ii ); fmf_mulAB_nn( gfu, gradU, stateW ); bf_actt( ftgfu, vg->bf, gfu ); fmf_sumLevelsMulF( out, ftgfu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( &gf ); fmf_freeDestroy( &ftgf ); } else { fmf_freeDestroy( &gfu ); fmf_freeDestroy( &ftgfu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_adj_convect2" /*! @par Revision history: - 20.12.2005, c - 22.03.2006 - 27.07.2006 */ int32 dw_adj_convect2( FMField *out, FMField *stateW, FMField *stateU, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *vtg = 0, *ftvtg = 0; FMField *futvtg = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; fmf_createAlloc( &vtg, 1, nQP, dim, nEP * dim ); if (isDiff) { fmf_createAlloc( &ftvtg, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( &futvtg, 1, nQP, 1, dim * nEP ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateU, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); convect_build_vtg( vtg, vg->bfGM, stateU ); if (isDiff) { FMF_SetCellX1( vg->bf, ii ); bf_actt( ftvtg, vg->bf, vtg ); fmf_sumLevelsTMulF( out, ftvtg, vg->det->val ); } else { FMF_SetCell( stateW, ii ); fmf_mulATB_nn( futvtg, stateW, vtg ); fmf_sumLevelsTMulF( out, futvtg, vg->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &vtg ); if (isDiff) { fmf_freeDestroy( &ftvtg ); } else { fmf_freeDestroy( &futvtg ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_adj_supg_c" /*! @par Revision history: - 30.10.2007, c */ int32 dw_st_adj_supg_c( FMField *out, FMField *stateW, FMField *stateU, FMField *gradU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ) { int32 ii, dim, nQP, ret = RET_OK; FMField *stW = 0, *gUfU = 0, *fUTg = 0; FMField *gUfUTg = 0, *fTgUfUTg = 0; FMField *gUfUTgT = 0, *fTgUfUTgT = 0; FMField *outdqp = 0, *outqp = 0, *out1qp = 0, *out2qp = 0; FMField stWv[1]; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; stateW->val = FMF_PtrFirst( stateW ); fmf_createAlloc( &gUfU, 1, nQP, dim, 1 ); fmf_createAlloc( &gUfUTgT, 1, nQP, dim, nEP * dim ); fmf_createAlloc( &fTgUfUTgT, 1, nQP, nEP * dim, nEP * dim ); fmf_createAlloc( &fUTg, 1, nQP, dim, nEP * dim ); fmf_createAlloc( &gUfUTg, 1, nQP, dim, nEP * dim ); fmf_createAlloc( &fTgUfUTg, 1, nQP, nEP * dim, nEP * dim ); if (isDiff == 1) { fmf_createAlloc( &outdqp, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( &stW, 1, 1, dim, nEP ); stWv->nAlloc = -1; fmf_pretend( stWv, 1, 1, nEP * dim, 1, stW->val ); fmf_createAlloc( &out1qp, 1, nQP, dim * nEP, 1 ); fmf_createAlloc( &out2qp, 1, nQP, dim * nEP, 1 ); fmf_createAlloc( &outqp, 1, nQP, dim * nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateU, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCellX1( vg->bf, ii ); // u grad u. fmf_mulAB_nn( gUfU, gradU, stateU ); // (u grad u, grad). convect_build_vtbg( gUfUTgT, vg->bfGM, gUfU ); // (u grad u, v grad). bf_actt( fTgUfUTgT, vg->bf, gUfUTgT ); // u grad. convect_build_vtg( fUTg, vg->bfGM, stateU ); // (grad u, u^T grad). fmf_mulAB_nn( gUfUTg, gradU, fUTg ); // (v grad u, u grad). bf_actt( fTgUfUTg, vg->bf, gUfUTg ); if (isDiff == 1) { fmf_addAB_nn( outdqp, fTgUfUTgT, fTgUfUTg ); fmf_sumLevelsMulF( out, outdqp, vg->det->val ); } else { ele_extractNodalValuesDBD( stW, stateW, conn + nEP * ii ); // (u grad u, v grad w). fmf_mulAB_n1( out1qp, fTgUfUTgT, stWv ); // (v grad u, u grad w). fmf_mulAB_n1( out2qp, fTgUfUTg, stWv ); fmf_addAB_nn( outqp, out1qp, out2qp ); fmf_sumLevelsMulF( out, outqp, vg->det->val ); } fmf_mulC( out, coef->val[0] ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &gUfU ); fmf_freeDestroy( &gUfUTgT ); fmf_freeDestroy( &fTgUfUTgT ); fmf_freeDestroy( &fUTg ); fmf_freeDestroy( &gUfUTg ); fmf_freeDestroy( &fTgUfUTg ); if (isDiff) { fmf_freeDestroy( &outdqp ); } else { fmf_freeDestroy( &stW ); fmf_freeDestroy( &out1qp ); fmf_freeDestroy( &out2qp ); fmf_freeDestroy( &outqp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_adj1_supg_p" /*! @par Revision history: - 30.10.2007, c */ int32 dw_st_adj1_supg_p( FMField *out, FMField *stateW, FMField *gradP, FMField *coef, Mapping *vg_w, int32 *conn_w, int32 nEl_w, int32 nEP_w, int32 isDiff ) { int32 ii, dim, nQP, ret = RET_OK; FMField *stW = 0, *gPTgT = 0, *fTgPTgT = 0; FMField *outqp = 0; FMField stWv[1]; nQP = vg_w->bfGM->nLev; dim = vg_w->bfGM->nRow; stateW->val = FMF_PtrFirst( stateW ); fmf_createAlloc( &gPTgT, 1, nQP, dim, nEP_w * dim ); fmf_createAlloc( &fTgPTgT, 1, nQP, nEP_w * dim, nEP_w * dim ); if (isDiff == 0) { fmf_createAlloc( &outqp, 1, nQP, nEP_w * dim, 1 ); fmf_createAlloc( &stW, 1, 1, dim, nEP_w ); stWv->nAlloc = -1; fmf_pretend( stWv, 1, 1, nEP_w * dim, 1, stW->val ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradP, ii ); FMF_SetCell( vg_w->bfGM, ii ); FMF_SetCell( vg_w->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCellX1( vg_w->bf, ii ); // (grad p, grad). convect_build_vtbg( gPTgT, vg_w->bfGM, gradP ); // (grad p, v grad). bf_actt( fTgPTgT, vg_w->bf, gPTgT ); if (isDiff == 1) { fmf_sumLevelsMulF( out, fTgPTgT, vg_w->det->val ); } else { ele_extractNodalValuesDBD( stW, stateW, conn_w + nEP_w * ii ); // (grad p, v grad w). fmf_mulAB_n1( outqp, fTgPTgT, stWv ); fmf_sumLevelsMulF( out, outqp, vg_w->det->val ); } fmf_mulC( out, coef->val[0] ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &gPTgT ); fmf_freeDestroy( &fTgPTgT ); if (isDiff == 0) { fmf_freeDestroy( &stW ); fmf_freeDestroy( &outqp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_adj2_supg_p" /*! @par Revision history: - 30.10.2007, c */ int32 dw_st_adj2_supg_p( FMField *out, FMField *gradU, FMField *stateR, FMField *coef, Mapping *vg_u, Mapping *vg_r, int32 *conn_r, int32 nEl_r, int32 nEP_r, int32 isDiff ) { int32 ii, dim, nQP, nEP_u, ret = RET_OK; FMField *stR = 0, *gUTg = 0, *fTgUTg = 0; FMField *outqp = 0; FMField stRv[1]; nQP = vg_u->bfGM->nLev; nEP_u = vg_u->bfGM->nCol; dim = vg_u->bfGM->nRow; stateR->val = FMF_PtrFirst( stateR ); fmf_createAlloc( &gUTg, 1, nQP, dim, nEP_r ); fmf_createAlloc( &fTgUTg, 1, nQP, nEP_u * dim, nEP_r ); if (isDiff == 0) { fmf_createAlloc( &outqp, 1, nQP, nEP_u * dim, 1 ); fmf_createAlloc( &stR, 1, 1, 1, nEP_r ); stRv->nAlloc = -1; fmf_pretend( stRv, 1, 1, nEP_r, 1, stR->val ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( vg_r->bfGM, ii ); FMF_SetCell( vg_u->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCellX1( vg_u->bf, ii ); // (grad u, grad). fmf_mulATB_nn( gUTg, gradU, vg_r->bfGM ); // (v grad u, grad). bf_actt( fTgUTg, vg_u->bf, gUTg ); if (isDiff == 1) { fmf_sumLevelsMulF( out, fTgUTg, vg_u->det->val ); } else { ele_extractNodalValuesDBD( stR, stateR, conn_r + nEP_r * ii ); // (v grad u, grad r). fmf_mulAB_n1( outqp, fTgUTg, stRv ); fmf_sumLevelsMulF( out, outqp, vg_u->det->val ); } fmf_mulC( out, coef->val[0] ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &gUTg ); fmf_freeDestroy( &fTgUTg ); if (isDiff == 0) { fmf_freeDestroy( &stR ); fmf_freeDestroy( &outqp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_of_nsMinGrad" /*! @par Revision history: - 23.01.2006, c - 02.03.2006 - 27.07.2006 */ int32 d_of_nsMinGrad( FMField *out, FMField *grad, FMField *viscosity, Mapping *vg ) { int32 ii, nQP, ret = RET_OK; float64 aux; FMField *out1 = 0, *gvel2 = 0; nQP = vg->bfGM->nLev; fmf_createAlloc( &out1, 1, 1, 1, 1 ); fmf_createAlloc( &gvel2, 1, nQP, 1, 1 ); FMF_SetFirst( out ); aux = 0.0; for (ii = 0; ii < grad->nCell; ii++) { FMF_SetCell( grad, ii ); FMF_SetCell( viscosity, ii ); FMF_SetCell( vg->det, ii ); fmf_mulATB_nn( gvel2, grad, grad ); fmf_mul( gvel2, viscosity->val ); fmf_sumLevelsMulF( out1, gvel2, vg->det->val ); aux += out1->val[0]; ERR_CheckGo( ret ); } out->val[0] = aux * 0.5; end_label: fmf_freeDestroy( &out1 ); fmf_freeDestroy( &gvel2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_of_nsSurfMinDPress" /*! @par Revision history: - 23.03.2007, c */ int32 d_of_nsSurfMinDPress( FMField *out, FMField *pressure, float64 weight, float64 bpress, Mapping *sg, int32 isDiff ) { int32 ii, iqp, nQP, ret = RET_OK; float64 aux; FMField *out1 = 0, *pressQP = 0; nQP = sg->det->nLev; if (isDiff == 0) { fmf_createAlloc( &out1, 1, 1, 1, 1 ); fmf_createAlloc( &pressQP, 1, nQP, 1, 1 ); aux = 0.0; for (ii = 0; ii < pressure->nCell; ii++) { FMF_SetCell( pressure, ii ); FMF_SetCell( sg->det, ii ); for (iqp = 0; iqp < nQP; iqp++) { pressQP->val[iqp] -= pressure->val[iqp] - bpress; } fmf_sumLevelsMulF( out1, pressQP, sg->det->val ); aux += out1->val[0]; ERR_CheckGo( ret ); } out->val[0] = aux * weight; } else { for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); fmf_sumLevelsTMulF( out, sg->bf, sg->det->val ); ERR_CheckGo( ret ); } fmfc_mulC( out, weight ); } end_label: if (isDiff == 0) { fmf_freeDestroy( &out1 ); fmf_freeDestroy( &pressQP ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_div" /*! @par Revision history: - 06.03.2006, c - 24.10.2007 */ int32 d_sd_div( FMField *out, FMField *divU, FMField *gradU, FMField *stateP, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode ) { int32 ii, nQP, ret = RET_OK; FMField *aux11 = 0; nQP = vg_u->bfGM->nLev; fmf_createAlloc( &aux11, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateP, ii ); FMF_SetCell( divU, ii ); FMF_SetCell( vg_u->det, ii ); fmf_mulAB_nn( aux11, stateP, divU ); if (mode == 1) { FMF_SetCell( gradU, ii ); FMF_SetCell( divMV, ii ); FMF_SetCell( gradMV, ii ); fmf_mul( aux11, divMV->val ); sub_mul_gradddgrad_scalar( aux11, gradU, gradMV, stateP ); } fmf_sumLevelsMulF( out, aux11, vg_u->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux11 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_div_grad" /*! @par Revision history: - 08.01.2006, c - 09.01.2006 - 27.02.2006 - 06.03.2006 - 07.03.2006 */ int32 d_sd_div_grad( FMField *out, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *viscosity, Mapping *vg_u, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *uvel = 0, *aux = 0, *aux1 = 0, *aux2 = 0, *aux3 = 0; FMField gum[1], gwm[1], gmvm[1], aux3m[1]; nQP = vg_u->bfGM->nLev; dim = vg_u->bfGM->nRow; fmf_createAlloc( &uvel, 1, nQP, 1, 1 ); if (mode == 1) { fmf_createAlloc( &aux, 1, 1, 1, 1 ); fmf_createAlloc( &aux1, 1, nQP, 1, 1 ); fmf_createAlloc( &aux2, 1, nQP, 1, 1 ); fmf_createAlloc( &aux3, 1, nQP, dim * dim, 1 ); aux3m->nAlloc = -1; fmf_pretend( aux3m, 1, nQP, dim, dim, aux3->val ); gum->nAlloc = -1; fmf_pretend( gum, gradU->nCell, nQP, dim, dim, gradU->val0 ); gwm->nAlloc = -1; fmf_pretend( gwm, gradW->nCell, nQP, dim, dim, gradW->val0 ); gmvm->nAlloc = -1; fmf_pretend( gmvm, gradMV->nCell, nQP, dim, dim, gradMV->val0 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( gradW, ii ); FMF_SetCell( viscosity, ii ); FMF_SetCell( vg_u->det, ii ); // (gu:gw) fmf_mulATB_nn( uvel, gradW, gradU ); if (mode == 0) { fmf_mul( uvel, viscosity->val ); fmf_sumLevelsMulF( out, uvel, vg_u->det->val ); } else if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gum, ii ); FMF_SetCell( gwm, ii ); FMF_SetCell( gmvm, ii ); // (gu:gw) div nu fmf_mulAB_nn( aux1, uvel, divMV ); fmf_mul( aux1, viscosity->val ); fmf_sumLevelsMulF( out, aux1, vg_u->det->val ); // (gu * gnu) : gw fmf_mulAB_nn( aux3m, gum, gmvm ); fmf_mulATB_nn( aux1, aux3, gradW ); // (gw * gnu) : gu fmf_mulAB_nn( aux3m, gwm, gmvm ); fmf_mulATB_nn( aux2, aux3, gradU ); fmf_addAB_nn( aux1, aux1, aux2 ); fmf_mul( aux1, viscosity->val ); fmf_sumLevelsMulF( aux, aux1, vg_u->det->val ); fmf_subAB_nn( out, out, aux ); } ERR_CheckGo( ret ); } end_label: if (mode == 1) { fmf_freeDestroy( &aux ); fmf_freeDestroy( &aux1 ); fmf_freeDestroy( &aux2 ); fmf_freeDestroy( &aux3 ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_convect" /*! @par Revision history: - 22.03.2006, c */ int32 d_sd_convect( FMField *out, FMField *stateU, FMField *gradU, FMField *stateW, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *aux11 = 0, *aux = 0, *fwgu = 0, *fwgugmv = 0; FMField gum[1], gmvm[1]; nQP = vg_u->bfGM->nLev; dim = vg_u->bfGM->nRow; gum->nAlloc = -1; fmf_pretend( gum, gradU->nCell, nQP, dim, dim, gradU->val0 ); fmf_createAlloc( &fwgu, 1, nQP, 1, dim ); fmf_createAlloc( &aux11, 1, nQP, 1, 1 ); if (mode == 1) { gmvm->nAlloc = -1; fmf_pretend( gmvm, gradMV->nCell, nQP, dim, dim, gradMV->val0 ); fmf_createAlloc( &fwgugmv, 1, nQP, 1, dim ); fmf_createAlloc( &aux, 1, nQP, 1, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateU, ii ); FMF_SetCell( stateW, ii ); FMF_SetCell( gum, ii ); FMF_SetCell( vg_u->det, ii ); fmf_mulATB_nn( fwgu, stateW, gum ); fmf_mulAB_nn( aux11, fwgu, stateU ); if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gmvm, ii ); fmf_mul( aux11, divMV->val ); fmf_mulAB_nn( fwgugmv, fwgu, gmvm ); fmf_mulAB_nn( aux, fwgugmv, stateU ); fmf_subAB_nn( aux11, aux11, aux ); } fmf_sumLevelsMulF( out, aux11, vg_u->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux11 ); fmf_freeDestroy( &fwgu ); if (mode == 1) { fmf_freeDestroy( &fwgugmv ); fmf_freeDestroy( &aux ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_volume_dot" /*! mode == 0: \int pq mode == 1: \int pq div V Works for both scalars and vectors. @par Revision history: - 24.02.2006, c - 27.02.2006 */ int32 d_sd_volume_dot( FMField *out, FMField *stateP, FMField *stateQ, FMField *divMV, Mapping *vg, int32 mode ) { int32 ii, nQP, ret = RET_OK; FMField *pq = 0; nQP = vg->bfGM->nLev; fmf_createAlloc( &pq, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateP, ii ); FMF_SetCell( stateQ, ii ); FMF_SetCell( vg->det, ii ); fmf_mulATB_nn( pq, stateP, stateQ ); if (mode == 1) { FMF_SetCell( divMV, ii ); fmf_mul( pq, divMV->val ); } fmf_sumLevelsMulF( out, pq, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &pq ); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_st_grad_div" /*! @par Revision history: - 24.10.2007, c */ int32 d_sd_st_grad_div( FMField *out, FMField *divU, FMField *gradU, FMField *divW, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ) { int32 ii, nQP, ret = RET_OK; FMField *scalar1 = 0, *scalar2 = 0; nQP = vg_u->bfGM->nLev; fmf_createAlloc( &scalar1, 1, nQP, 1, 1 ); if (mode == 1) { fmf_createAlloc( &scalar2, 1, nQP, 1, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( coef, ii ); FMF_SetCell( divU, ii ); FMF_SetCell( divW, ii ); FMF_SetCell( vg_u->det, ii ); if (mode == 0) { // (div u, div w) fmf_mulATB_nn( scalar1, divU, divW ); fmf_mul( scalar1, coef->val ); fmf_sumLevelsMulF( out, scalar1, vg_u->det->val ); } else if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( gradW, ii ); FMF_SetCell( gradMV, ii ); // div u div w div nu ... fmf_mulATB_nn( scalar1, divU, divW ); fmf_mulATB_nn( scalar2, divMV, scalar1 ); // ... - (gu : gnu^T) div w ... sub_mul_gradddgrad_scalar( scalar2, gradMV, gradU, divW ); // ... - (gw : gnu^T) div u sub_mul_gradddgrad_scalar( scalar2, gradMV, gradW, divU ); fmf_mul( scalar2, coef->val ); fmf_sumLevelsMulF( out, scalar2, vg_u->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &scalar1 ); if (mode == 1) { fmf_freeDestroy( &scalar2 ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_st_supg_c" /*! @par Revision history: - 25.10.2007, c - 29.10.2007 */ int32 d_sd_st_supg_c( FMField *out, FMField *stateB, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *fBgU = 0, *fBgW = 0, *fBgMV = 0, *fBgMVgU = 0, *fBgMVgW = 0; FMField *scalar1 = 0, *scalar2 = 0; nQP = vg_u->bfGM->nLev; dim = vg_u->bfGM->nRow; fmf_createAlloc( &fBgU, 1, nQP, 1, dim ); fmf_createAlloc( &fBgW, 1, nQP, 1, dim ); fmf_createAlloc( &scalar1, 1, nQP, 1, 1 ); if (mode == 1) { fmf_createAlloc( &scalar2, 1, nQP, 1, 1 ); fmf_createAlloc( &fBgMV, 1, nQP, 1, dim ); fmf_createAlloc( &fBgMVgU, 1, nQP, 1, dim ); fmf_createAlloc( &fBgMVgW, 1, nQP, 1, dim ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( stateB, ii ); FMF_SetCell( gradW, ii ); FMF_SetCell( vg_u->det, ii ); FMF_SetCell( coef, ii ); // b grad u. fmf_mulATBT_nn( fBgU, stateB, gradU ); // b grad w. fmf_mulATBT_nn( fBgW, stateB, gradW ); // (b grad u, b grad w). fmf_mulABT_nn( scalar1, fBgU, fBgW ); if (mode == 0) { fmf_mul( scalar1, coef->val ); fmf_sumLevelsMulF( out, scalar1, vg_u->det->val ); } else if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gradMV, ii ); // b grad nu. fmf_mulATBT_nn( fBgMV, stateB, gradMV ); // (b grad u, b grad w) div nu ... fmf_mulATB_nn( scalar2, divMV, scalar1 ); // ... - (b grad nu grad u, b grad w) ... fmf_mulABT_nn( fBgMVgU, fBgMV, gradU ); fmf_mulABT_nn( scalar1, fBgMVgU, fBgW ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); // ... - (b grad nu grad w, b grad u) ... fmf_mulABT_nn( fBgMVgW, fBgMV, gradW ); fmf_mulABT_nn( scalar1, fBgMVgW, fBgU ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); fmf_mul( scalar2, coef->val ); fmf_sumLevelsMulF( out, scalar2, vg_u->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &scalar1 ); fmf_freeDestroy( &fBgU ); fmf_freeDestroy( &fBgW ); if (mode == 1) { fmf_freeDestroy( &scalar2 ); fmf_freeDestroy( &fBgMV ); fmf_freeDestroy( &fBgMVgU ); fmf_freeDestroy( &fBgMVgW ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_st_pspg_c" /*! @par Revision history: - 25.10.2007, c - 29.10.2007 */ int32 d_sd_st_pspg_c( FMField *out, FMField *stateB, FMField *gradU, FMField *gradR, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *fBgU = 0, *fBgMV = 0, *fBgMVgU = 0, *gMVgR = 0; FMField *scalar1 = 0, *scalar2 = 0; nQP = vg_u->bfGM->nLev; dim = vg_u->bfGM->nRow; fmf_createAlloc( &fBgU, 1, nQP, 1, dim ); fmf_createAlloc( &scalar1, 1, nQP, 1, 1 ); if (mode == 1) { fmf_createAlloc( &scalar2, 1, nQP, 1, 1 ); fmf_createAlloc( &fBgMV, 1, nQP, 1, dim ); fmf_createAlloc( &fBgMVgU, 1, nQP, 1, dim ); fmf_createAlloc( &gMVgR, 1, nQP, dim, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateB, ii ); FMF_SetCell( gradU, ii ); FMF_SetCell( gradR, ii ); FMF_SetCell( vg_u->det, ii ); FMF_SetCell( coef, ii ); // b grad u. fmf_mulATBT_nn( fBgU, stateB, gradU ); // (grad r, b grad u). fmf_mulATBT_nn( scalar1, gradR, fBgU ); if (mode == 0) { fmf_mul( scalar1, coef->val ); fmf_sumLevelsMulF( out, scalar1, vg_u->det->val ); } else if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gradMV, ii ); // b grad nu. fmf_mulATBT_nn( fBgMV, stateB, gradMV ); // (grad r, b grad u) div nu ... fmf_mulATB_nn( scalar2, divMV, scalar1 ); // ... - (grad nu grad r, b grad u) ... fmf_mulATB_nn( gMVgR, gradMV, gradR ); fmf_mulATBT_nn( scalar1, gMVgR, fBgU ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); // ... - (grad r, b grad nu grad u) ... fmf_mulABT_nn( fBgMVgU, fBgMV, gradU ); fmf_mulATBT_nn( scalar1, gradR, fBgMVgU ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); fmf_mul( scalar2, coef->val ); fmf_sumLevelsMulF( out, scalar2, vg_u->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &scalar1 ); fmf_freeDestroy( &fBgU ); if (mode == 1) { fmf_freeDestroy( &scalar2 ); fmf_freeDestroy( &fBgMV ); fmf_freeDestroy( &fBgMVgU ); fmf_freeDestroy( &gMVgR ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_sd_st_pspg_p" /*! @par Revision history: - 25.10.2007, c - 29.10.2007 */ int32 d_sd_st_pspg_p( FMField *out, FMField *gradR, FMField *gradP, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_p, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *gMVgR = 0, *gMVgP = 0; FMField *scalar1 = 0, *scalar2 = 0; nQP = vg_p->bfGM->nLev; dim = gradR->nRow; fmf_createAlloc( &scalar1, 1, nQP, 1, 1 ); if (mode == 1) { fmf_createAlloc( &scalar2, 1, nQP, 1, 1 ); fmf_createAlloc( &gMVgP, 1, nQP, dim, 1 ); fmf_createAlloc( &gMVgR, 1, nQP, dim, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gradR, ii ); FMF_SetCell( gradP, ii ); FMF_SetCell( vg_p->det, ii ); FMF_SetCell( coef, ii ); // (grad r, grad p). fmf_mulATB_nn( scalar1, gradR, gradP ); if (mode == 0) { fmf_mul( scalar1, coef->val ); fmf_sumLevelsMulF( out, scalar1, vg_p->det->val ); } else if (mode == 1) { FMF_SetCell( divMV, ii ); FMF_SetCell( gradMV, ii ); // grad nu grad r. fmf_mulATB_nn( gMVgR, gradMV, gradR ); // grad nu grad p. fmf_mulATB_nn( gMVgP, gradMV, gradP ); // (grad r, grad p) div nu ... fmf_mulATB_nn( scalar2, divMV, scalar1 ); // ... - (grad nu grad r, grad p) ... fmf_mulATB_nn( scalar1, gMVgR, gradP ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); // ... - (grad nu grad p, grad r) ... fmf_mulATB_nn( scalar1, gMVgP, gradR ); fmf_subAB_nn( scalar2, scalar2, scalar1 ); fmf_mul( scalar2, coef->val ); fmf_sumLevelsMulF( out, scalar2, vg_p->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &scalar1 ); if (mode == 1) { fmf_freeDestroy( &scalar2 ); fmf_freeDestroy( &gMVgP ); fmf_freeDestroy( &gMVgR ); } return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_adj_navier_stokes.h000066400000000000000000000051311247364230400254550ustar00rootroot00000000000000/*! @par Revision history: - 26.02.2007, c */ #ifndef _TERMSADJOINTNAVIERSTOKES_H_ #define _TERMSADJOINTNAVIERSTOKES_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_adj_convect1( FMField *out, FMField *stateW, FMField *gradU, Mapping *vg, int32 isDiff ); int32 dw_adj_convect2( FMField *out, FMField *stateW, FMField *stateU, Mapping *vg, int32 isDiff ); int32 dw_st_adj_supg_c( FMField *out, FMField *stateW, FMField *stateU, FMField *gradU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ); int32 dw_st_adj1_supg_p( FMField *out, FMField *stateW, FMField *gradP, FMField *coef, Mapping *vg_w, int32 *conn_w, int32 nEl_w, int32 nEP_w, int32 isDiff ); int32 dw_st_adj2_supg_p( FMField *out, FMField *gradU, FMField *stateR, FMField *coef, Mapping *vg_u, Mapping *vg_r, int32 *conn_r, int32 nEl_r, int32 nEP_r, int32 isDiff ); int32 d_of_nsMinGrad( FMField *out, FMField *grad, FMField *viscosity, Mapping *vg ); int32 d_of_nsSurfMinDPress( FMField *out, FMField *pressure, float64 weight, float64 bpress, Mapping *sg, int32 isDiff ); int32 d_sd_div( FMField *out, FMField *divU, FMField *gradU, FMField *stateP, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode ); int32 d_sd_div_grad( FMField *out, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *viscosity, Mapping *vg_u, int32 mode ); int32 d_sd_convect( FMField *out, FMField *stateU, FMField *gradU, FMField *stateW, FMField *divMV, FMField *gradMV, Mapping *vg_u, int32 mode ); int32 d_sd_volume_dot( FMField *out, FMField *stateP, FMField *stateQ, FMField *divMV, Mapping *vg, int32 mode ); int32 d_sd_st_grad_div( FMField *out, FMField *divU, FMField *gradU, FMField *divW, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ); int32 d_sd_st_supg_c( FMField *out, FMField *stateB, FMField *gradU, FMField *gradW, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ); int32 d_sd_st_pspg_c( FMField *out, FMField *stateB, FMField *gradU, FMField *gradR, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_u, int32 mode ); int32 d_sd_st_pspg_p( FMField *out, FMField *gradR, FMField *gradP, FMField *divMV, FMField *gradMV, FMField *coef, Mapping *vg_p, int32 mode ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_basic.c000066400000000000000000000104341247364230400230410ustar00rootroot00000000000000#include "terms_basic.h" #include "terms.h" #undef __FUNC__ #define __FUNC__ "dq_state_in_qp" /*! @par Revision history: - 24.04.2007, c */ int32 dq_state_in_qp( FMField *out, FMField *state, int32 offset, FMField *bf, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, ret = RET_OK; FMField *st = 0; if (nEP != bf->nCol) { errput( "nEP mismatch: %d == %d!", nEP, bf->nCol ); } /* if (out->nRow != 1) { */ /* errput( "state_in_qp works only for scalars!" ); */ /* } */ state->val = FMF_PtrFirst( state ) + offset; fmf_createAlloc( &st, 1, 1, out->nRow, nEP ); for (ii = 0; ii < nEl; ii++) { FMF_SetCell( out, ii ); FMF_SetCellX1( bf, ii ); ele_extractNodalValuesDBD( st, state, conn + nEP * ii ); bf_act( out, bf, st ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_grad" int32 dq_grad( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, nQP, ret = RET_OK; FMField *st = 0; state->val = FMF_PtrFirst( state ) + offset; nQP = vg->bfGM->nLev; fmf_createAlloc( &st, 1, 1, nEP, out->nCol ); for (ii = 0; ii < nEl; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); ele_extractNodalValuesNBN( st, state, conn + nEP * ii ); fmf_mulAB_n1( out, vg->bfGM, st ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_div_vector" /*! @par Revision history: - 30.07.2007, from dw_hdpm_cache() */ int32 dq_div_vector( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, dim, nQP, ret = RET_OK; FMField *st = 0; FMField gcl[1], stv[1]; state->val = FMF_PtrFirst( state ) + offset; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &st, 1, 1, dim, nEP ); stv->nAlloc = -1; fmf_pretend( stv, 1, 1, nEP * dim, 1, st->val ); gcl->nAlloc = -1; fmf_pretend( gcl, 1, nQP, 1, nEP * dim, vg->bfGM->val0 ); for (ii = 0; ii < nEl; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gcl, ii ); ele_extractNodalValuesDBD( st, state, conn + nEP * ii ); fmf_mulAB_n1( out, gcl, stv ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_volume_surface" int32 d_volume_surface( FMField *out, FMField *in, Mapping *sg, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, dim, nQP, nFP, ret = RET_OK; FMField *lcoor, *aux, *aux2; float64 val; nFP = sg->bf->nCol; nQP = sg->det->nLev; dim = sg->normal->nRow; val = 1.0/dim; fmf_createAlloc( &lcoor, 1, 1, nFP, dim ); fmf_createAlloc( &aux, 1, nQP, 1, dim ); fmf_createAlloc( &aux2, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); ele_extractNodalValuesNBN( lcoor, in, conn + nEP * ii ); fmf_mulAB_n1( aux, sg->bf, lcoor ); fmf_mulAB_nn( aux2, aux, sg->normal ); fmf_sumLevelsMulF( out, aux2, sg->det->val ); fmf_mulC( out, val ); ERR_CheckGo( ret ); } /* for (ii) */ end_label: fmf_freeDestroy( &aux ); fmf_freeDestroy( &aux2 ); fmf_freeDestroy( &lcoor ); return( ret ); } #undef __FUNC__ #define __FUNC__ "di_surface_moment" int32 di_surface_moment( FMField *out, FMField *in, Mapping *sg, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, dim, nQP, nFP, ret = RET_OK; FMField *lcoor, *aux, *aux2; nFP = sg->bf->nCol; nQP = sg->det->nLev; dim = sg->normal->nRow; fmf_createAlloc( &lcoor, 1, 1, nFP, dim ); fmf_createAlloc( &aux, 1, nQP, 1, dim ); fmf_createAlloc( &aux2, 1, nQP, dim, dim ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); ele_extractNodalValuesNBN( lcoor, in, conn + nEP * ii ); fmf_mulAB_n1( aux, sg->bf, lcoor ); fmf_mulAB_nn( aux2, sg->normal, aux ); fmf_sumLevelsMulF( out, aux2, sg->det->val ); ERR_CheckGo( ret ); } /* for (ii) */ end_label: fmf_freeDestroy( &aux ); fmf_freeDestroy( &aux2 ); fmf_freeDestroy( &lcoor ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_basic.h000066400000000000000000000014471247364230400230520ustar00rootroot00000000000000/*! @par Revision history: - 18.09.2006, c */ #ifndef _TERMSBASIC_H_ #define _TERMSBASIC_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dq_state_in_qp( FMField *out, FMField *state, int32 offset, FMField *bf, int32 *conn, int32 nEl, int32 nEP ); int32 dq_grad( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ); int32 dq_div_vector( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ); int32 d_volume_surface( FMField *out, FMField *in, Mapping *sg, int32 *conn, int32 nEl, int32 nEP ); int32 di_surface_moment( FMField *out, FMField *in, Mapping *sg, int32 *conn, int32 nEl, int32 nEP ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_biot.c000066400000000000000000000103621247364230400227150ustar00rootroot00000000000000#include "terms_biot.h" #include "terms.h" #include "form_sdcc.h" #undef __FUNC__ #define __FUNC__ "dw_biot_grad" /*! @par Revision history: - 03.08.2006, c - 01.12.2006 */ int32 dw_biot_grad( FMField *out, float64 coef, FMField *pressure_qp, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff ) { int32 ii, nEPU, nEP, dim, nQP, ret = RET_OK; FMField *dfp = 0, *gtdfp = 0, *gtd = 0, *gtdf = 0; nQP = vvg->bfGM->nLev; dim = vvg->bfGM->nRow; nEPU = vvg->bfGM->nCol; nEP = svg->bf->nCol; /* fmf_print( mtxD, stdout, 0 ); */ if (isDiff == 1) { fmf_createAlloc( >d, 1, nQP, dim * nEPU, 1 ); fmf_createAlloc( >df, 1, nQP, dim * nEPU, nEP ); } else { int32 sym = (dim + 1) * dim / 2; fmf_createAlloc( &dfp, 1, nQP, sym, 1 ); fmf_createAlloc( >dfp, 1, nQP, dim * nEPU, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vvg->bfGM, ii ); FMF_SetCell( vvg->det, ii ); if (isDiff == 1) { FMF_SetCellX1( svg->bf, ii ); form_sdcc_actOpGT_M3( gtd, vvg->bfGM, mtxD ); fmf_mulAB_nn( gtdf, gtd, svg->bf ); fmf_sumLevelsMulF( out, gtdf, vvg->det->val ); } else { FMF_SetCell( pressure_qp, ii ); fmf_mulAB_nn( dfp, mtxD, pressure_qp ); form_sdcc_actOpGT_VS3( gtdfp, vvg->bfGM, dfp ); fmf_sumLevelsMulF( out, gtdfp, vvg->det->val ); } ERR_CheckGo( ret ); } // E.g. 1/dt. fmfc_mulC( out, coef ); end_label: if (isDiff) { fmf_freeDestroy( >d ); fmf_freeDestroy( >df ); } else { fmf_freeDestroy( &dfp ); fmf_freeDestroy( >dfp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_biot_div" /*! @par Revision history: - 04.08.2006, c - 01.12.2006 */ int32 dw_biot_div( FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff ) { int32 ii, nEPP, nEP, dim, sym, nQP, ret = RET_OK; FMField *dtg = 0, *ftdtg = 0, *dtgu = 0, *ftdtgu = 0; FMField drow[1]; nQP = vvg->bfGM->nLev; nEP = vvg->bfGM->nCol; dim = vvg->bfGM->nRow; sym = (dim + 1) * dim / 2; nEPP = svg->bf->nCol; /* fmf_print( mtxD, stdout, 0 ); */ if (isDiff == 1) { fmf_createAlloc( &dtg, 1, nQP, 1, dim * nEP ); fmf_createAlloc( &ftdtg, 1, nQP, nEPP, dim * nEP ); drow->nAlloc = -1; fmf_pretend( drow, 1, nQP, 1, sym, mtxD->val ); } else { fmf_createAlloc( &dtgu, 1, nQP, 1, 1 ); fmf_createAlloc( &ftdtgu, 1, nQP, nEPP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vvg->bfGM, ii ); FMF_SetCell( vvg->det, ii ); FMF_SetCellX1( svg->bf, ii ); if (isDiff == 1) { drow->val = mtxD->val; form_sdcc_actOpG_RM3( dtg, drow, vvg->bfGM ); fmf_mulATB_nn( ftdtg, svg->bf, dtg ); fmf_sumLevelsMulF( out, ftdtg, vvg->det->val ); } else { FMF_SetCell( strain, ii ); fmf_mulATB_nn( dtgu, mtxD, strain ); fmf_mulATB_nn( ftdtgu, svg->bf, dtgu ); fmf_sumLevelsMulF( out, ftdtgu, vvg->det->val ); } ERR_CheckGo( ret ); } // E.g. 1/dt. fmfc_mulC( out, coef ); end_label: if (isDiff) { fmf_freeDestroy( &dtg ); fmf_freeDestroy( &ftdtg ); } else { fmf_freeDestroy( &dtgu ); fmf_freeDestroy( &ftdtgu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_biot_div" /*! @par Revision history: - c: 05.03.2008, r: 05.03.2008 */ int32 d_biot_div( FMField *out, float64 coef, FMField *state, FMField *strain, FMField *mtxD, Mapping *vg ) { int32 ii, nQP, ret = RET_OK; FMField *dtgu = 0, *pftdtgu = 0; nQP = vg->bfGM->nLev; /* fmf_print( mtxD, stdout, 0 ); */ fmf_createAlloc( &dtgu, 1, nQP, 1, 1 ); fmf_createAlloc( &pftdtgu, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( state, ii ); FMF_SetCell( strain, ii ); fmf_mulATB_nn( dtgu, mtxD, strain ); fmf_mulATB_nn( pftdtgu, state, dtgu ); fmf_sumLevelsMulF( out, pftdtgu, vg->det->val ); ERR_CheckGo( ret ); } // E.g. 1/dt. fmfc_mulC( out, coef ); end_label: fmf_freeDestroy( &dtgu ); fmf_freeDestroy( &pftdtgu ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_biot.h000066400000000000000000000011421247364230400227160ustar00rootroot00000000000000/*! @par Revision history: - 31.03.2008, c */ #ifndef _TERMSBIOT_H_ #define _TERMSBIOT_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_biot_grad( FMField *out, float64 coef, FMField *pressure_qp, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff ); int32 dw_biot_div( FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *svg, Mapping *vvg, int32 isDiff ); int32 d_biot_div( FMField *out, float64 coef, FMField *state, FMField *strain, FMField *mtxD, Mapping *vg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_diffusion.c000066400000000000000000000343771247364230400237620ustar00rootroot00000000000000#include "terms_diffusion.h" #include "terms.h" #undef __FUNC__ #define __FUNC__ "laplace_build_gtg" /*! @par Revision history: - 28.11.2005, c - 30.05.2007 */ int32 laplace_build_gtg( FMField *out, FMField *gc ) { int32 iqp, ir, ic, nEP, nQP, nCol; float64 *pout, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = out->nCol; fmf_fillC( out, 0.0 ); switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout = FMF_PtrLevel( out, iqp ); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = pg1[ir] * pg1[ic] + pg2[ir] * pg2[ic] + pg3[ir] * pg3[ic]; } pout += nCol; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout = FMF_PtrLevel( out, iqp ); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = pg1[ir] * pg1[ic] + pg2[ir] * pg2[ic]; } pout += nCol; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel(gc, iqp); pout = FMF_PtrLevel(out, iqp); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = pg1[ir] * pg1[ic]; } pout += nCol; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "laplace_act_g_m" /*! @par Revision history: - 28.11.2005, c - 30.05.2007 */ int32 laplace_act_g_m( FMField *out, FMField *gc, FMField *mtx ) { int32 iqp, ic, ik, nEP, nQP, nCol; float64 val1, val2, val3; float64 *pout, *pmtx, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; /* output( "%d %d %d %d\n", nEP, nQP, nCol, dim ); */ switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout = FMF_PtrLevel( out, iqp ); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel( mtx, iqp ); } else { pmtx = FMF_PtrCurrent( mtx ); } for (ic = 0; ic < nCol; ic++) { val1 = val2 = val3 = 0.0; for (ik = 0; ik < nEP; ik++) { /* output( "%d %d %d %d\n", iqp, ic, ik ); */ val1 += pg1[ik] * pmtx[ic+nCol*ik]; val2 += pg2[ik] * pmtx[ic+nCol*ik]; val3 += pg3[ik] * pmtx[ic+nCol*ik]; } pout[ic+0] = val1; pout[ic+1] = val2; pout[ic+2] = val3; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout = FMF_PtrLevel( out, iqp ); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel( mtx, iqp ); } else { pmtx = FMF_PtrCurrent( mtx ); } for (ic = 0; ic < nCol; ic++) { val1 = val2 = 0.0; for (ik = 0; ik < nEP; ik++) { /* output( "%d %d %d %d\n", iqp, ic, ik ); */ val1 += pg1[ik] * pmtx[ic+nCol*ik]; val2 += pg2[ik] * pmtx[ic+nCol*ik]; } pout[ic+0] = val1; pout[ic+1] = val2; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel(gc, iqp); pout = FMF_PtrLevel(out, iqp); if (mtx->nLev == nQP) pmtx = FMF_PtrLevel(mtx, iqp); else pmtx = FMF_PtrCurrent(mtx); for (ic = 0; ic < nCol; ic++) { val1 = 0.0; for (ik = 0; ik < nEP; ik++) { val1 += pg1[ik] * pmtx[ic + nCol*ik]; } pout[ic + 0] = val1; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "laplace_act_gt_m" /*! @par Revision history: - 28.11.2005, c - 30.05.2007 */ int32 laplace_act_gt_m( FMField *out, FMField *gc, FMField *mtx ) { int32 iqp, iep, ii, nEP, nQP, nCol; float64 *pout, *pmtx, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; switch (gc->nRow) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pmtx = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pout = FMF_PtrLevel( out, iqp ) + nCol * iep; for (ii = 0; ii < nCol; ii++) { pout[ii] = pg1[iep] * pmtx[0*nCol+ii] + pg2[iep] * pmtx[1*nCol+ii] + pg3[iep] * pmtx[2*nCol+ii]; } } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pmtx = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pout = FMF_PtrLevel( out, iqp ) + nCol * iep; for (ii = 0; ii < nCol; ii++) { pout[ii] = pg1[iep] * pmtx[0*nCol+ii] + pg2[iep] * pmtx[1*nCol+ii]; } } } break; case 1: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel(gc, iqp); pmtx = FMF_PtrLevel(mtx, iqp); for (iep = 0; iep < nEP; iep++) { pout = FMF_PtrLevel(out, iqp) + nCol * iep; for (ii = 0; ii < nCol; ii++) { pout[ii] = pg1[iep] * pmtx[0 * nCol + ii]; } } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "dw_laplace" /*! @par Revision history: - 28.11.2005, c - 09.12.2005 */ int32 dw_laplace( FMField *out, FMField *grad, FMField *coef, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *gtg = 0, *gtgu = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff) { fmf_createAlloc( >g, 1, nQP, nEP, nEP ); } else { fmf_createAlloc( >gu, 1, nQP, nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (coef->nCell > 1) FMF_SetCell( coef, ii ); if (isDiff) { laplace_build_gtg( gtg, vg->bfGM ); fmf_mulAF( gtg, gtg, coef->val ); fmf_sumLevelsMulF( out, gtg, vg->det->val ); } else { FMF_SetCell( grad, ii ); laplace_act_gt_m( gtgu, vg->bfGM, grad ); fmf_mulAF( gtgu, gtgu, coef->val ); fmf_sumLevelsMulF( out, gtgu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( >g ); } else { fmf_freeDestroy( >gu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_laplace" int32 d_laplace( FMField *out, FMField *gradP1, FMField *gradP2, FMField *coef, Mapping *vg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *dgp2 = 0, *gp1tdgp2 = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &dgp2, 1, nQP, dim, 1 ); fmf_createAlloc( &gp1tdgp2, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( gradP1, ii ); FMF_SetCell( gradP2, ii ); if (coef->nCell > 1) FMF_SetCell( coef, ii ); fmf_mulAF( dgp2, gradP2, coef->val ); fmf_mulATB_nn( gp1tdgp2, gradP1, dgp2 ); fmf_sumLevelsMulF( out, gp1tdgp2, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &dgp2 ); fmf_freeDestroy( &gp1tdgp2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_diffusion" /*! @par Revision history: - c: 03.08.2006, r: 23.01.2008 */ int32 dw_diffusion( FMField *out, FMField *grad, FMField *mtxD, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *gtd = 0, *gtdg = 0, *dgp = 0, *gtdgp = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff) { fmf_createAlloc( >d, 1, nQP, nEP, dim ); fmf_createAlloc( >dg, 1, nQP, nEP, nEP ); } else { fmf_createAlloc( &dgp, 1, nQP, dim, 1 ); fmf_createAlloc( >dgp, 1, nQP, nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (mtxD->nCell > 1) { FMF_SetCell( mtxD, ii ); } if (isDiff) { fmf_mulATB_nn( gtd, vg->bfGM, mtxD ); fmf_mulAB_nn( gtdg, gtd, vg->bfGM ); fmf_sumLevelsMulF( out, gtdg, vg->det->val ); } else { FMF_SetCell( grad, ii ); fmf_mulAB_nn( dgp, mtxD, grad ); fmf_mulATB_nn( gtdgp, vg->bfGM, dgp ); fmf_sumLevelsMulF( out, gtdgp, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( >d ); fmf_freeDestroy( >dg ); } else { fmf_freeDestroy( &dgp ); fmf_freeDestroy( >dgp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_diffusion" /*! @par Revision history: - c: 12.03.2007, r: 23.01.2008 */ int32 d_diffusion( FMField *out, FMField *gradP1, FMField *gradP2, FMField *mtxD, Mapping *vg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *dgp2 = 0, *gp1tdgp2 = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &dgp2, 1, nQP, dim, 1 ); fmf_createAlloc( &gp1tdgp2, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( gradP1, ii ); FMF_SetCell( gradP2, ii ); if (mtxD->nCell > 1) { FMF_SetCell( mtxD, ii ); } fmf_mulAB_nn( dgp2, mtxD, gradP2 ); fmf_mulATB_nn( gp1tdgp2, gradP1, dgp2 ); fmf_sumLevelsMulF( out, gp1tdgp2, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &dgp2 ); fmf_freeDestroy( &gp1tdgp2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_diffusion_r" /*! @par Revision history: - c: 23.04.2007, r: 23.01.2008 */ int32 dw_diffusion_r( FMField *out, FMField *mtxD, Mapping *vg ) { int32 ii, nQP, nEP, ret = RET_OK; FMField *gtd = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; fmf_createAlloc( >d, 1, nQP, nEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (mtxD->nCell > 1) { FMF_SetCell( mtxD, ii ); } fmf_mulATB_nn( gtd, vg->bfGM, mtxD ); fmf_sumLevelsMulF( out, gtd, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( >d ); return( ret ); } #undef __FUNC__ #define __FUNC__ "d_surface_flux" int32 d_surface_flux( FMField *out, FMField *grad, FMField *mtxD, Mapping *sg, int32 mode ) { int32 ii, dim, nQP, ret = RET_OK; FMField *dgp = 0, *ntdgp = 0; nQP = sg->normal->nLev; dim = sg->normal->nRow; fmf_createAlloc( &dgp, 1, nQP, dim, 1 ); fmf_createAlloc( &ntdgp, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( grad, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); fmf_mulAB_nn( dgp, mtxD, grad ); fmf_mulATB_nn( ntdgp, sg->normal, dgp ); fmf_sumLevelsMulF( out, ntdgp, sg->det->val ); if (mode == 1) { FMF_SetCell( sg->volume, ii ); fmf_mulC( out, 1.0 / sg->volume->val[0] ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &dgp ); fmf_freeDestroy( &ntdgp ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_surface_flux" int32 dw_surface_flux(FMField *out, FMField *grad, FMField *mat, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode) { int32 ii, ifa, dim, nQP, nEP, ret = RET_OK; FMField *ntk = 0, *ntkg = 0, *out_qp = 0; nQP = sg->normal->nLev; dim = sg->normal->nRow; nEP = sg->bfGM->nCol; fmf_createAlloc(&ntk, 1, nQP, 1, dim); if (mode) { fmf_createAlloc(&ntkg, 1, nQP, 1, nEP); fmf_createAlloc(&out_qp, 1, nQP, nEP, nEP); } else { fmf_createAlloc(&ntkg, 1, nQP, 1, 1); fmf_createAlloc(&out_qp, 1, nQP, nEP, 1); } for (ii = 0; ii < out->nCell; ii++) { ifa = fis[ii*nFP+1]; FMF_SetCell(out, ii); FMF_SetCellX1(mat, ii); FMF_SetCell(sg->det, ii); FMF_SetCell(sg->normal, ii); FMF_SetCell(bf, ifa); fmf_mulATB_nn(ntk, sg->normal, mat); if (mode) { FMF_SetCell(sg->bfGM, ii); fmf_mulAB_nn(ntkg, ntk, sg->bfGM); } else { FMF_SetCell(grad, ii); fmf_mulAB_nn(ntkg, ntk, grad); } fmf_mulATB_nn(out_qp, bf, ntkg); fmf_sumLevelsMulF(out, out_qp, sg->det->val); ERR_CheckGo(ret); } end_label: fmf_freeDestroy(&ntk); fmf_freeDestroy(&ntkg); fmf_freeDestroy(&out_qp); return(ret); } #undef __FUNC__ #define __FUNC__ "dw_convect_v_grad_s" int32 dw_convect_v_grad_s( FMField *out, FMField *val_v, FMField *grad_s, Mapping *vvg, Mapping *svg, int32 isDiff ) { int32 ii, nEPV, nEPS, dim, nQP, ret = RET_OK; FMField *aux = 0, *out_qp = 0, *gst = 0; nQP = vvg->bfGM->nLev; dim = vvg->bfGM->nRow; nEPS = svg->bfGM->nCol; nEPV = vvg->bf->nCol; if (isDiff == 0) { fmf_createAlloc( &aux, 1, nQP, 1, 1 ); fmf_createAlloc( &out_qp, 1, nQP, nEPS, 1 ); } else if (isDiff == 1) { // d/ds. fmf_createAlloc( &aux, 1, nQP, 1, nEPS ); fmf_createAlloc( &out_qp, 1, nQP, nEPS, nEPS ); } else { // d/dv. fmf_createAlloc( &aux, 1, nQP, 1, dim * nEPV ); fmf_createAlloc( &out_qp, 1, nQP, nEPS, dim * nEPV ); fmf_createAlloc( &gst, 1, nQP, 1, dim ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCellX1( svg->bf, ii ); if (isDiff == 0) { FMF_SetCell( val_v, ii ); FMF_SetCell( grad_s, ii ); // v^T Psi^T G_c s. fmf_mulATB_nn( aux, val_v, grad_s ); // Phi^T v^T Psi^T G_c s. fmf_mulATB_nn( out_qp, svg->bf, aux ); } else if (isDiff == 1) { // d/ds. FMF_SetCell( val_v, ii ); FMF_SetCell( svg->bfGM, ii ); // v^T Psi^T G_c. fmf_mulATB_nn( aux, val_v, svg->bfGM ); // Phi^T v^T Psi^T G_c. fmf_mulATB_nn( out_qp, svg->bf, aux ); } else { // d/dv. FMF_SetCell( grad_s, ii ); FMF_SetCellX1( vvg->bf, ii ); // s^T G_c^T - transpose grad_s. fmf_mulATC( gst, grad_s, 1.0 ); // s^T G_c^T Psi. bf_ract( aux, vvg->bf, gst ); // Phi^T s^T G_c^T Psi. fmf_mulATB_nn( out_qp, svg->bf, aux ); } fmf_sumLevelsMulF( out, out_qp, vvg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux ); fmf_freeDestroy( &out_qp ); fmf_freeDestroy( &gst ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_diffusion.h000066400000000000000000000022211247364230400237460ustar00rootroot00000000000000/*! @par Revision history: - 28.11.2005, c */ #ifndef _TERMSLAPLACE_H_ #define _TERMSLAPLACE_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_laplace( FMField *out, FMField *grad, FMField *coef, Mapping *vg, int32 isDiff ); int32 d_laplace( FMField *out, FMField *gradP1, FMField *gradP2, FMField *coef, Mapping *vg ); int32 dw_diffusion( FMField *out, FMField *grad, FMField *mtxD, Mapping *vg, int32 isDiff ); int32 d_diffusion( FMField *out, FMField *gradP1, FMField *gradP2, FMField *mtxD, Mapping *vg ); int32 dw_diffusion_r( FMField *out, FMField *mtxD, Mapping *vg ); int32 d_surface_flux( FMField *out, FMField *grad, FMField *mtxD, Mapping *sg, int32 mode ); int32 dw_surface_flux(FMField *out, FMField *grad, FMField *mat, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode); int32 dw_convect_v_grad_s( FMField *out, FMField *val_v, FMField *grad_s, Mapping *vvg, Mapping *svg, int32 isDiff ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_dot.c000066400000000000000000000231701247364230400225470ustar00rootroot00000000000000#include "terms.h" #include "geommech.h" #undef __FUNC__ #define __FUNC__ "dw_surface_v_dot_n_s" int32 dw_surface_v_dot_n_s(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff) { int32 ii, dim, nQP, nEPR, nEPC, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = rsg->normal->nLev; dim = rsg->normal->nRow; nEPR = rsg->bf->nCol; nEPC = csg->bf->nCol; fmf_createAlloc(&aux1, 1, nQP, dim * nEPR, 1); if (isDiff) { fmf_createAlloc(&aux2, 1, nQP, dim * nEPR, nEPC); } else { fmf_createAlloc(&aux2, 1, nQP, dim * nEPR, 1); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell(out, ii); FMF_SetCellX1(coef, ii); FMF_SetCell(rsg->det, ii); FMF_SetCellX1(rsg->bf, ii); FMF_SetCell(csg->normal, ii); if (isDiff) { FMF_SetCellX1(csg->bf, ii); bf_actt(aux1, rsg->bf, csg->normal); fmf_mulAB_nn(aux2, aux1, csg->bf); fmf_mul(aux2, coef->val); fmf_sumLevelsMulF(out, aux2, rsg->det->val); } else { FMF_SetCell(val_qp, ii); bf_actt(aux1, rsg->bf, csg->normal); fmf_mulAB_nn(aux2, aux1, val_qp); fmf_mul(aux2, coef->val); fmf_sumLevelsMulF(out, aux2, rsg->det->val); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy(&aux1); fmf_freeDestroy(&aux2); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_surface_s_v_dot_n" int32 dw_surface_s_v_dot_n(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff) { int32 ii, dim, nQP, nEPR, nEPC, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = rsg->det->nLev; dim = csg->normal->nRow; nEPR = rsg->bf->nCol; nEPC = csg->bf->nCol; if (isDiff) { fmf_createAlloc(&aux2, 1, nQP, nEPR, dim * nEPC); fmf_createAlloc(&aux1, 1, nQP, dim * nEPC, 1); } else { fmf_createAlloc(&aux2, 1, nQP, nEPR, 1); fmf_createAlloc(&aux1, 1, nQP, 1, 1); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell(out, ii); FMF_SetCellX1(coef, ii); FMF_SetCell(rsg->det, ii); FMF_SetCellX1(rsg->bf, ii); FMF_SetCell(csg->normal, ii); if (isDiff) { FMF_SetCellX1(csg->bf, ii); bf_actt(aux1, csg->bf, csg->normal); fmf_mulATBT_nn(aux2, rsg->bf, aux1); fmf_mul(aux2, coef->val); fmf_sumLevelsMulF(out, aux2, rsg->det->val); } else { FMF_SetCell(val_qp, ii); fmf_mulATB_nn(aux1, csg->normal, val_qp); fmf_mulATB_nn(aux2, rsg->bf, aux1); fmf_mul(aux2, coef->val); fmf_sumLevelsMulF(out, aux2, rsg->det->val); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy(&aux1); fmf_freeDestroy(&aux2); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_volume_dot_vector" /*! @par Revision history: - 21.11.2006, c */ int32 dw_volume_dot_vector( FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff ) { int32 ii, dim, nc, nQP, nEPR, nEPC, ret = RET_OK; FMField *ftfu = 0, *ftf1 = 0, *ftf = 0,*cf = 0, *cfu = 0; nQP = rvg->nQP; dim = rvg->dim; nEPR = rvg->bf->nCol; nEPC = cvg->bf->nCol; nc = coef->nCol; if (isDiff) { fmf_createAlloc( &ftf, 1, nQP, nEPR * dim, nEPC * dim ); if (nc == 1) { fmf_createAlloc( &ftf1, 1, nQP, nEPR, nEPC ); } else { fmf_createAlloc( &cf, 1, nQP, dim, dim * nEPC ); } } else { fmf_createAlloc( &ftfu, 1, nQP, dim * nEPR, 1 ); if (nc > 1) { fmf_createAlloc( &cfu, 1, nQP, dim, 1 ); } } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCellX1( coef, ii ); FMF_SetCell( rvg->det, ii ); FMF_SetCellX1( rvg->bf, ii ); if (isDiff) { FMF_SetCellX1( cvg->bf, ii ); if (nc == 1) { fmf_mulATB_nn( ftf1, rvg->bf, cvg->bf ); bf_buildFTF( ftf, ftf1 ); fmf_mul( ftf, coef->val ); } else { bf_ract( cf, cvg->bf, coef ); bf_actt( ftf, rvg->bf, cf ); } fmf_sumLevelsMulF( out, ftf, rvg->det->val ); } else { FMF_SetCell( val_qp, ii ); if (nc == 1) { bf_actt( ftfu, rvg->bf, val_qp ); fmf_mul( ftfu, coef->val ); } else { fmf_mulAB_nn( cfu, coef, val_qp ); bf_actt( ftfu, rvg->bf, cfu ); } fmf_sumLevelsMulF( out, ftfu, rvg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( &ftf ); if (nc == 1) { fmf_freeDestroy( &ftf1 ); } else { fmf_freeDestroy( &cf ); } } else { fmf_freeDestroy( &ftfu ); if (nc > 1) { fmf_freeDestroy( &cfu ); } } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_volume_dot_scalar" /*! @par Revision history: - 01.02.2008, c */ int32 dw_volume_dot_scalar( FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff ) { int32 ii, nQP, nEPR, nEPC, ret = RET_OK; FMField *ftfp = 0, *ftf = 0, *cftf = 0; nQP = rvg->nQP; nEPR = rvg->bf->nCol; nEPC = cvg->bf->nCol; if (isDiff) { fmf_createAlloc( &ftf, 1, nQP, nEPR, nEPC ); fmf_createAlloc( &cftf, 1, nQP, nEPR, nEPC ); } else { fmf_createAlloc( &ftfp, 1, nQP, nEPR, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( rvg->det, ii ); FMF_SetCellX1( coef, ii ); FMF_SetCellX1( rvg->bf, ii ); if (isDiff) { FMF_SetCellX1( cvg->bf, ii ); fmf_mulATB_nn( ftf, rvg->bf, cvg->bf ); fmf_mulAF( cftf, ftf, coef->val ); fmf_sumLevelsMulF( out, cftf, rvg->det->val ); } else { FMF_SetCell( val_qp, ii ); bf_actt( ftfp, rvg->bf, val_qp ); fmf_mul( ftfp, coef->val ); fmf_sumLevelsMulF( out, ftfp, rvg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( &ftf ); fmf_freeDestroy( &cftf ); } else { fmf_freeDestroy( &ftfp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_surface_dot_scalar" /*! @par Revision history: - 09.03.2009, c */ #undef __FUNC__ #define __FUNC__ "dw_v_dot_grad_s_vw" int32 dw_v_dot_grad_s_vw( FMField *out, FMField *coef, FMField *grad, Mapping *vvg, Mapping *svg, int32 isDiff ) { int32 ii, nc, nEPV, nEPS, dim, nQP, ret = RET_OK; FMField *ftg = 0, *cg = 0; nQP = vvg->bfGM->nLev; dim = vvg->bfGM->nRow; nEPS = svg->bfGM->nCol; nEPV = vvg->bf->nCol; nc = coef->nCol; if (isDiff == 1) { fmf_createAlloc( &ftg, 1, nQP, dim * nEPV, nEPS ); if (nc > 1) { fmf_createAlloc( &cg, 1, nQP, dim, nEPS ); } } else { fmf_createAlloc( &ftg, 1, nQP, dim * nEPV, 1 ); if (nc > 1) { fmf_createAlloc( &cg, 1, nQP, dim, 1 ); } } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCellX1( coef, ii ); FMF_SetCell( vvg->det, ii ); FMF_SetCellX1( vvg->bf, ii ); if (isDiff == 1) { FMF_SetCell( svg->bfGM, ii ); if (nc == 1) { bf_actt( ftg, vvg->bf, svg->bfGM ); fmf_mul( ftg, coef->val ); } else { // Phi^T C Gc fmf_mulAB_nn( cg, coef, svg->bfGM ); bf_actt( ftg, vvg->bf, cg ); } } else { FMF_SetCell( grad, ii ); if (nc == 1) { bf_actt_c1( ftg, vvg->bf, grad ); fmf_mul( ftg, coef->val ); } else { // Phi^T C Gc s fmf_mulAB_nn( cg, coef, grad ); bf_actt( ftg, vvg->bf, cg ); } } fmf_sumLevelsMulF( out, ftg, vvg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &ftg ); fmf_freeDestroy( &cg ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_v_dot_grad_s_sw" int32 dw_v_dot_grad_s_sw( FMField *out, FMField *coef, FMField *val_qp, Mapping *vvg, Mapping *svg, int32 isDiff ) { int32 ii, nc, nEPV, nEPS, dim, nQP, ret = RET_OK; FMField *gtf = 0, *ctf = 0, *ct = 0; nQP = vvg->bfGM->nLev; dim = vvg->bfGM->nRow; nEPS = svg->bfGM->nCol; nEPV = vvg->bf->nCol; nc = coef->nCol; if (isDiff == 1) { fmf_createAlloc( >f, 1, nQP, nEPS, dim * nEPV ); if (nc > 1) { fmf_createAlloc( &ctf, 1, nQP, dim, dim * nEPV ); fmf_createAlloc( &ct, 1, nQP, dim, dim ); } else { // Gc^T. fmf_createAlloc( &ctf, 1, nQP, nEPS, dim ); } } else { fmf_createAlloc( >f, 1, nQP, nEPS, 1 ); if (nc > 1) { fmf_createAlloc( &ctf, 1, nQP, dim, 1 ); } } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCellX1( coef, ii ); FMF_SetCell( svg->bfGM, ii ); FMF_SetCell( vvg->det, ii ); if (isDiff == 1) { FMF_SetCellX1( vvg->bf, ii ); if (nc == 1) { // Transpose Gc. fmf_mulATC( ctf, svg->bfGM, 1.0 ); // Gc^T Phi. bf_ract( gtf, vvg->bf, ctf ); fmf_mul( gtf, coef->val ); } else { // Transpose C. fmf_mulATC( ct, coef, 1.0 ); // Gc^T C^T Phi. bf_ract( ctf, vvg->bf, ct ); fmf_mulATB_nn( gtf, svg->bfGM, ctf ); } } else { FMF_SetCell( val_qp, ii ); if (nc == 1) { fmf_mulATB_nn( gtf, svg->bfGM, val_qp ); fmf_mul( gtf, coef->val ); } else { // Gc^T C^T Phi v. fmf_mulATB_nn( ctf, coef, val_qp ); fmf_mulATB_nn( gtf, svg->bfGM, ctf ); } } fmf_sumLevelsMulF( out, gtf, vvg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( >f ); fmf_freeDestroy( &ctf ); fmf_freeDestroy( &ct ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_dot.h000066400000000000000000000024101247364230400225460ustar00rootroot00000000000000#ifndef _TERMS_DOT_H_ #define _TERMS_DOT_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_surface_v_dot_n_s(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff); int32 dw_surface_s_v_dot_n(FMField *out, FMField *coef, FMField *val_qp, Mapping *rsg, Mapping *csg, int32 isDiff); int32 dw_volume_dot_vector( FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff ); int32 dw_volume_dot_scalar( FMField *out, FMField *coef, FMField *val_qp, Mapping *rvg, Mapping *cvg, int32 isDiff ); int32 dw_v_dot_grad_s_vw( FMField *out, FMField *coef, FMField *grad, Mapping *vvg, Mapping *svg, int32 isDiff ); int32 dw_v_dot_grad_s_sw( FMField *out, FMField *coef, FMField *val_qp, Mapping *vvg, Mapping *svg, int32 isDiff ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_elastic.c000066400000000000000000000326201247364230400234050ustar00rootroot00000000000000#include "form_sdcc.h" #include "terms_elastic.h" #include "terms.h" #undef __FUNC__ #define __FUNC__ "mat_le_tanModuli11" /*! @par Revision history: - 17.03.2003, c - 31.01.2006 - 06.02.2006 - 07.03.2006, adopted from mafest1 */ int32 mat_le_tanModuli11( FMField *mtx, FMField *lam, FMField *mu, int32 mode ) #define MAT_LE_AuxMacro1_3D \ do { for (iqp = 0; iqp < nQP; iqp++) { \ _lam = lam->val[iqp]; \ _mu = mu->val[iqp]; \ pd[0] = _lam + 2.0 * _mu; \ pd[1] = _lam; \ pd[2] = _lam; \ pd[6] = _lam; \ pd[7] = _lam + 2.0 * _mu; \ pd[8] = _lam; \ pd[12] = _lam; \ pd[13] = _lam; \ pd[14] = _lam + 2.0 * _mu; \ pd[21] = _mu; \ pd[28] = _mu; \ pd[35] = _mu; \ pd += 36; \ } } while (0) #define MAT_LE_AuxMacro2_3D \ do { for (iqp = 0; iqp < nQP; iqp++) { \ _lam = lam->val[iqp]; \ _mu = mu->val[iqp]; \ mu23 = _mu * (2.0/3.0); \ mu43 = 2.0 * mu23; \ pd[0] = mu43; \ pd[1] = -mu23; \ pd[2] = -mu23; \ pd[6] = -mu23; \ pd[7] = mu43; \ pd[8] = -mu23; \ pd[12] = -mu23; \ pd[13] = -mu23; \ pd[14] = mu43; \ pd[21] = _mu; \ pd[28] = _mu; \ pd[35] = _mu; \ pd += 36; \ } } while (0) #define MAT_LE_AuxMacro1_2D \ do { for (iqp = 0; iqp < nQP; iqp++) { \ _lam = lam->val[iqp]; \ _mu = mu->val[iqp]; \ pd[0] = _lam + 2.0 * _mu; \ pd[1] = _lam; \ pd[3] = _lam; \ pd[4] = _lam + 2.0 * _mu; \ pd[8] = _mu; \ pd += 9; \ } } while (0) #define MAT_LE_AuxMacro2_2D \ do { for (iqp = 0; iqp < nQP; iqp++) { \ _lam = lam->val[iqp]; \ _mu = mu->val[iqp]; \ mu23 = _mu * (2.0/3.0); \ mu43 = 2.0 * mu23; \ pd[0] = mu43; \ pd[1] = -mu23; \ pd[3] = -mu23; \ pd[4] = mu43; \ pd[8] = _mu; \ pd += 9; \ } } while (0) { float64 *pd; float64 _lam, _mu; int32 nQP, iqp, sym; nQP = mtx->nLev; sym = mtx->nRow; pd = FMF_PtrCurrent( mtx ); if (sym == 6) { if (1) { MAT_LE_AuxMacro1_3D; } else { float64 mu23, mu43; MAT_LE_AuxMacro2_3D; } } else if (sym == 3) { if (1) { MAT_LE_AuxMacro1_2D; } else { float64 mu23, mu43; MAT_LE_AuxMacro2_2D; } } return( RET_OK ); } #undef MAT_LE_AuxMacro1_3D #undef MAT_LE_AuxMacro2_3D #undef MAT_LE_AuxMacro1_2D #undef MAT_LE_AuxMacro2_2D #undef __FUNC__ #define __FUNC__ "mat_le_stress" /*! In mixed case, builds only the deviatoric part of stress. @par Revision history: - 17.03.2003, c - 31.01.2006 - 06.02.2006 - 07.03.2006, adopted from mafest1 */ int32 mat_le_stress( FMField *stress, FMField *strain, FMField *lam, FMField *mu ) { int32 iell, iqp; int32 sym, nQP; float64 *pstress, *pstrain; float64 _lam, _mu, mu23, mu43, l2m; nQP = stress->nLev; sym = stress->nRow; if (sym == 6) { for (iell = 0; iell < stress->nCell; iell++) { FMF_SetCell( lam, iell ); FMF_SetCell( mu, iell ); pstress = FMF_PtrCell( stress, iell ); pstrain = FMF_PtrCell( strain, iell ); if (1) { for (iqp = 0; iqp < nQP; iqp++) { _lam = lam->val[iqp]; _mu = mu->val[iqp]; l2m = 2.0 * _mu + _lam; pstress[0] = l2m * pstrain[0] + _lam * (pstrain[1] + pstrain[2]); pstress[1] = l2m * pstrain[1] + _lam * (pstrain[0] + pstrain[2]); pstress[2] = l2m * pstrain[2] + _lam * (pstrain[0] + pstrain[1]); pstress[3] = _mu * pstrain[3]; pstress[4] = _mu * pstrain[4]; pstress[5] = _mu * pstrain[5]; pstress += sym; pstrain += sym; } } else { for (iqp = 0; iqp < nQP; iqp++) { _lam = lam->val[iqp]; _mu = mu->val[iqp]; mu23 = _mu * (2.0/3.0); mu43 = 2.0 * mu23; pstress[0] = mu43 * pstrain[0] - mu23 * (pstrain[1] + pstrain[2]); pstress[1] = mu43 * pstrain[1] - mu23 * (pstrain[0] + pstrain[2]); pstress[2] = mu43 * pstrain[2] - mu23 * (pstrain[0] + pstrain[1]); pstress[3] = _mu * pstrain[3]; pstress[4] = _mu * pstrain[4]; pstress[5] = _mu * pstrain[5]; pstress += sym; pstrain += sym; } } } } else if (sym == 3) { for (iell = 0; iell < stress->nCell; iell++) { FMF_SetCell( lam, iell ); FMF_SetCell( mu, iell ); pstress = FMF_PtrCell( stress, iell ); pstrain = FMF_PtrCell( strain, iell ); if (1) { for (iqp = 0; iqp < nQP; iqp++) { _lam = lam->val[iqp]; _mu = mu->val[iqp]; l2m = 2.0 * _mu + _lam; pstress[0] = l2m * pstrain[0] + _lam * (pstrain[1]); pstress[1] = l2m * pstrain[1] + _lam * (pstrain[0]); pstress[2] = _mu * pstrain[2]; pstress += sym; pstrain += sym; } } else { for (iqp = 0; iqp < nQP; iqp++) { _lam = lam->val[iqp]; _mu = mu->val[iqp]; mu23 = _mu * (2.0/3.0); mu43 = 2.0 * mu23; pstress[0] = mu43 * pstrain[0] - mu23 * pstrain[1]; pstress[1] = mu43 * pstrain[1] - mu23 * pstrain[0]; pstress[2] = _mu * pstrain[2]; pstress += sym; pstrain += sym; } } } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "dw_lin_elastic_iso" /*! @par Revision history: - 07.03.2006, c */ int32 dw_lin_elastic_iso( FMField *out, FMField *strain, FMField *lam, FMField *mu, Mapping *vg, int32 isDiff ) { int32 ii, dim, sym, nQP, nEP, ret = RET_OK; FMField *stress = 0; FMField *res = 0, *d11 = 0, *gtd11 = 0, *gtd11g = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; if (isDiff) { fmf_createAlloc( &d11, 1, nQP, sym, sym ); fmf_createAlloc( >d11, 1, nQP, nEP * dim, sym ); fmf_createAlloc( >d11g, 1, nQP, nEP * dim, nEP * dim ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( lam, ii ); FMF_SetCell( mu, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); mat_le_tanModuli11( d11, lam, mu, 0 ); /* fmf_print( d11, stdout, 0 ); */ /* sys_pause(); */ form_sdcc_actOpGT_M3( gtd11, vg->bfGM, d11 ); form_sdcc_actOpG_RM3( gtd11g, gtd11, vg->bfGM ); fmf_sumLevelsMulF( out, gtd11g, vg->det->val ); ERR_CheckGo( ret ); } } else { fmf_createAlloc( &stress, strain->nCell, nQP, sym, 1 ); fmf_createAlloc( &res, 1, nQP, dim * nEP, 1 ); mat_le_stress( stress, strain, lam, mu ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stress, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); form_sdcc_actOpGT_VS3( res, vg->bfGM, stress ); fmf_sumLevelsMulF( out, res, vg->det->val ); ERR_CheckGo( ret ); } } end_label: if (isDiff) { fmf_freeDestroy( &d11 ); fmf_freeDestroy( >d11 ); fmf_freeDestroy( >d11g ); } else { fmf_freeDestroy( &res ); fmf_freeDestroy( &stress ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_lin_elastic" /*! @par Revision history: - 03.08.2006, c - 29.11.2006 */ int32 dw_lin_elastic( FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *vg, int32 isDiff ) { int32 ii, dim, sym, nQP, nEP, ret = RET_OK; FMField *stress = 0; FMField *res = 0, *gtd = 0, *gtdg = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; /* fmf_print( mtxD, stdout, 0 ); */ /* output( "%d %d %d %d %d %d\n", offset, nEl, nEP, nQP, dim, elList_nRow ); */ if (isDiff) { fmf_createAlloc( >d, 1, nQP, nEP * dim, sym ); fmf_createAlloc( >dg, 1, nQP, nEP * dim, nEP * dim ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); form_sdcc_actOpGT_M3( gtd, vg->bfGM, mtxD ); form_sdcc_actOpG_RM3( gtdg, gtd, vg->bfGM ); fmf_sumLevelsMulF( out, gtdg, vg->det->val ); ERR_CheckGo( ret ); } } else { fmf_createAlloc( &stress, 1, nQP, sym, 1 ); fmf_createAlloc( &res, 1, nQP, dim * nEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( strain, ii ); fmf_mulAB_nn( stress, mtxD, strain ); form_sdcc_actOpGT_VS3( res, vg->bfGM, stress ); fmf_sumLevelsMulF( out, res, vg->det->val ); ERR_CheckGo( ret ); } } // E.g. 1/dt. fmfc_mulC( out, coef ); end_label: if (isDiff) { fmf_freeDestroy( >d ); fmf_freeDestroy( >dg ); } else { fmf_freeDestroy( &res ); fmf_freeDestroy( &stress ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_lin_elastic" /*! @par Revision history: - 02.03.2007, c */ int32 d_lin_elastic( FMField *out, float64 coef, FMField *strainV, FMField *strainU, FMField *mtxD, Mapping *vg ) { int32 ii, dim, sym, nQP, nEP, ret = RET_OK; FMField *std = 0, *stds = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; sym = mtxD->nRow; fmf_createAlloc( &std, 1, nQP, 1, sym ); fmf_createAlloc( &stds, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( strainV, ii ); FMF_SetCell( strainU, ii ); fmf_mulATB_nn( std, strainV, mtxD ); fmf_mulAB_nn( stds, std, strainU ); fmf_sumLevelsMulF( out, stds, vg->det->val ); ERR_CheckGo( ret ); } // E.g. 1/dt. fmfc_mulC( out, coef ); end_label: fmf_freeDestroy( &std ); fmf_freeDestroy( &stds ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_lin_prestress" int32 dw_lin_prestress( FMField *out, FMField *stress, Mapping *vg ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *res = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; fmf_createAlloc( &res, 1, nQP, dim * nEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( stress, ii ); form_sdcc_actOpGT_VS3( res, vg->bfGM, stress ); fmf_sumLevelsMulF( out, res, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &res ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_lin_strain_fib" int32 dw_lin_strain_fib( FMField *out, FMField *mtxD, FMField *mat, Mapping *vg ) { int32 ii, dim, sym, nQP, nEP, ret = RET_OK; FMField *aux1 = 0, *aux2 = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; fmf_createAlloc( &aux1, 1, nQP, nEP * dim, sym ); fmf_createAlloc( &aux2, 1, nQP, nEP * dim, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( mat, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); form_sdcc_actOpGT_M3( aux1, vg->bfGM, mtxD ); fmf_mulAB_nn( aux2, aux1, mat ); fmf_sumLevelsMulF( out, aux2, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux1 ); fmf_freeDestroy( &aux2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "de_cauchy_strain" /*! @par Revision history: - 21.09.2006, c */ int32 de_cauchy_strain( FMField *out, FMField *strain, Mapping *vg, int32 mode ) { int32 ii, dim, sym, nQP, ret = RET_OK; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( strain, ii ); FMF_SetCell( vg->det, ii ); fmf_sumLevelsMulF( out, strain, vg->det->val ); if (mode == 1) { FMF_SetCell( vg->volume, ii ); fmf_mulC( out, 1.0 / vg->volume->val[0] ); } ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "de_cauchy_stress" /*! @par Revision history: - c: 25.03.2008 */ int32 de_cauchy_stress( FMField *out, FMField *strain, FMField *mtxD, Mapping *vg, int32 mode ) { int32 ii, dim, sym, nQP, ret = RET_OK; FMField *stress = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; fmf_createAlloc( &stress, 1, nQP, sym, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( strain, ii ); FMF_SetCell( vg->det, ii ); fmf_mulAB_nn( stress, mtxD, strain ); fmf_sumLevelsMulF( out, stress, vg->det->val ); if (mode == 1) { FMF_SetCell( vg->volume, ii ); fmf_mulC( out, 1.0 / vg->volume->val[0] ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &stress ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_cauchy_strain" /*! @par Revision history: - 30.07.2007, from dw_hdpm_cache() */ int32 dq_cauchy_strain( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ) { int32 ii, dim, sym, nQP, ret = RET_OK; FMField *st = 0, *disG = 0; state->val = FMF_PtrFirst( state ) + offset; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; sym = (dim + 1) * dim / 2; fmf_createAlloc( &st, 1, 1, nEP, dim ); fmf_createAlloc( &disG, 1, nQP, dim, dim ); for (ii = 0; ii < nEl; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); ele_extractNodalValuesNBN( st, state, conn + nEP * ii ); fmf_mulAB_n1( disG, vg->bfGM, st ); form_sdcc_strainCauchy_VS( out, disG ); /* fmf_print( out, stdout, 0 ); */ /* sys_pause(); */ ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); fmf_freeDestroy( &disG ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_elastic.h000066400000000000000000000020571247364230400234130ustar00rootroot00000000000000/*! @par Revision history: - 28.11.2005, c */ #ifndef _TERMSLINELASTICITY_H_ #define _TERMSLINELASTICITY_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_lin_elastic_iso( FMField *out, FMField *strain, FMField *lam, FMField *mu, Mapping *vg, int32 isDiff ); int32 dw_lin_elastic( FMField *out, float64 coef, FMField *strain, FMField *mtxD, Mapping *vg, int32 isDiff ); int32 d_lin_elastic( FMField *out, float64 coef, FMField *strainV, FMField *strainU, FMField *mtxD, Mapping *vg ); int32 dw_lin_prestress( FMField *out, FMField *stress, Mapping *vg ); int32 dw_lin_strain_fib( FMField *out, FMField *mtxD, FMField *mat, Mapping *vg ); int32 de_cauchy_strain( FMField *out, FMField *strain, Mapping *vg, int32 mode ); int32 de_cauchy_stress( FMField *out, FMField *strain, FMField *mtxD, Mapping *vg, int32 mode ); int32 dq_cauchy_strain( FMField *out, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_electric.c000066400000000000000000000016431247364230400235540ustar00rootroot00000000000000#include "terms_electric.h" #include "terms.h" #include "geommech.h" #undef __FUNC__ #define __FUNC__ "dw_electric_source" int32 dw_electric_source( FMField *out, FMField *grad, FMField *coef, Mapping *vg ) { int32 ii, nQP, nEP, ret = RET_OK; FMField *gp2 = 0, *bftgp2 = 0; nQP = vg->bfGM->nLev; nEP = vg->bf->nCol; fmf_createAlloc( &gp2, 1, nQP, 1, 1 ); fmf_createAlloc( &bftgp2, 1, nQP, nEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCell( grad, ii ); FMF_SetCellX1( vg->bf, ii ); fmf_mulATB_nn( gp2, grad, grad ); fmf_mulATB_nn( bftgp2, vg->bf, gp2 ); fmf_sumLevelsMulF( out, bftgp2, vg->det->val ); fmf_mulC( out, coef->val[0] ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &gp2 ); fmf_freeDestroy( &bftgp2 ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_electric.h000066400000000000000000000004621247364230400235570ustar00rootroot00000000000000/*! @par Revision history: - 03.01.2009, c */ #ifndef _TERMSELECTRIC_H_ #define _TERMSELECTRIC_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_electric_source( FMField *out, FMField *grad, FMField *coef, Mapping *vg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_hyperelastic.c000066400000000000000000001636261247364230400244700ustar00rootroot00000000000000#include "terms_hyperelastic.h" #include "terms.h" #include "form_sdcc.h" /* notes: disG -> mtxF => removed '1.0 +' in form_tlcc_buildOpB_VS3() */ static float64 trace3d[6] = {1.0, 1.0, 1.0, 0.0, 0.0, 0.0}; static float64 trace2d[3] = {1.0, 1.0, 0.0}; static float64 trace1d[1] = {1.0}; #undef __FUNC__ #define __FUNC__ "get_trace" float64 *get_trace( int32 sym ) { if (sym == 1) return( trace1d ); if (sym == 3) return( trace2d ); if (sym == 6) return( trace3d ); return( NULL ); } #undef __FUNC__ #define __FUNC__ "form_tlcc_strainGreen_VS" /*! Cauchy strain tensor stored as a vector, symmetric storage. @par Revision history: - 13.11.2001, c - 14.11.2001 - 29.11.2001 - 20.03.2003, adopted from rcfem2 */ int32 form_tlcc_strainGreen_VS( FMField *strain, FMField *mtxF ) { int32 iqp, ii, ir, ic, ik; int32 sym = strain->nRow; int32 dim = mtxF->nRow; float64 *pstrain, *pf; int32 *t2i = 0, *t2j = 0; switch (dim) { case 1: t2i = t2i1D; t2j = t2j1D; break; case 2: t2i = t2i2D; t2j = t2j2D; break; case 3: t2i = t2i3D; t2j = t2j3D; break; default: errput( ErrHead "ERR_Switch\n" ); } for (iqp = 0; iqp < strain->nLev; iqp++) { pstrain = FMF_PtrLevel( strain, iqp ); pf = FMF_PtrLevel( mtxF, iqp ); for (ii = 0; ii < sym; ii++) { ir = t2i[ii]; ic = t2j[ii]; pstrain[ii] = 0.0; for (ik = 0; ik < dim; ik++) { pstrain[ii] += pf[dim*ik+ir] * pf[dim*ik+ic]; } } for (ik = 0; ik < dim; ik++) { pstrain[ik] -= 1.0; } for (ii = 0; ii < sym; ii++) { pstrain[ii] *= 0.5; } } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "form_tlcc_buildOpB_VS3" /*! @par Revision history: - 13.11.2001, c - 16.11.2001 - 20.03.2003, adopted from rcfem2 - 26.08.2008: updated to work with mtxF instead of disG: - removed '1+' at diagonal items - indices to pd are transposed w.r.t. mafest1 */ int32 form_tlcc_buildOpB_VS3( FMField *out, FMField *mtxF, FMField *gc ) { int32 iqp, iep, nQP, nEP, dim; float64 *pgc, *pout, *pd, *pg[3]; nQP = gc->nLev; nEP = gc->nCol; dim = gc->nRow; fmf_fillC( out, 0.0 ); switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; pg[1] = pgc + nEP; pg[2] = pgc + 2 * nEP; pd = FMF_PtrLevel( mtxF, iqp ); // Row 1. pout = FMF_PtrLevel( out, iqp ); for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[0]) * pg[0][iep]; pout[iep+nEP] = (pd[3]) * pg[0][iep]; pout[iep+2*nEP] = (pd[6]) * pg[0][iep]; } // Row 2. pout += 3 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[1]) * pg[1][iep]; pout[iep+nEP] = (pd[4]) * pg[1][iep]; pout[iep+2*nEP] = (pd[7]) * pg[1][iep]; } // Row 3. pout += 3 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[2]) * pg[2][iep]; pout[iep+nEP] = (pd[5]) * pg[2][iep]; pout[iep+2*nEP] = (pd[8]) * pg[2][iep]; } // Row 4. pout += 3 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[1]) * pg[0][iep] + (pd[0]) * pg[1][iep]; pout[iep+nEP] = (pd[4]) * pg[0][iep] + (pd[3]) * pg[1][iep]; pout[iep+2*nEP] = (pd[7]) * pg[0][iep] + (pd[6]) * pg[1][iep]; } // Row 5. pout += 3 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[2]) * pg[0][iep] + (pd[0]) * pg[2][iep]; pout[iep+nEP] = (pd[5]) * pg[0][iep] + (pd[3]) * pg[2][iep]; pout[iep+2*nEP] = (pd[8]) * pg[0][iep] + (pd[6]) * pg[2][iep]; } // Row 6. pout += 3 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[2]) * pg[1][iep] + (pd[1]) * pg[2][iep]; pout[iep+nEP] = (pd[5]) * pg[1][iep] + (pd[4]) * pg[2][iep]; pout[iep+2*nEP] = (pd[8]) * pg[1][iep] + (pd[7]) * pg[2][iep]; } } /* for (iqp) */ break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; pg[1] = pgc + nEP; pd = FMF_PtrLevel( mtxF, iqp ); // Row 1. pout = FMF_PtrLevel( out, iqp ); for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[0]) * pg[0][iep]; pout[iep+nEP] = (pd[2]) * pg[0][iep]; } // Row 2. pout += 2 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[1]) * pg[1][iep]; pout[iep+nEP] = (pd[3]) * pg[1][iep]; } // Row 3. pout += 2 * nEP; for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[1]) * pg[0][iep] + (pd[0]) * pg[1][iep]; pout[iep+nEP] = (pd[3]) * pg[0][iep] + (pd[2]) * pg[1][iep]; } } /* for (iqp) */ break; case 1: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; pd = FMF_PtrLevel( mtxF, iqp ); // Row 1. pout = FMF_PtrLevel( out, iqp ); for (iep = 0; iep < nEP; iep++) { pout[iep] = (pd[0]) * pg[0][iep]; } } /* for (iqp) */ break; } /* switch */ return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "form_tlcc_buildOpKtsC_VS3" /*! @par Revision history: - 13.11.2001, c - 20.03.2003, adopted from rcfem2 */ int32 form_tlcc_buildOpKtsC_VS3( FMField *out, FMField *tau, FMField *gc ) { int32 iqp, ir, ic, nQP, nEP, dim; float64 *pgc, *pout, *ptau, *pg[3]; nQP = gc->nLev; nEP = gc->nCol; dim = gc->nRow; fmf_fillC( out, 0.0 ); switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; pg[1] = pgc + nEP; pg[2] = pgc + 2 * nEP; ptau = FMF_PtrLevel( tau, iqp ); pout = FMF_PtrLevel( out, iqp ); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = ptau[0] * pg[0][ir] * pg[0][ic] + ptau[3] * pg[1][ir] * pg[0][ic] + ptau[4] * pg[2][ir] * pg[0][ic] + ptau[3] * pg[0][ir] * pg[1][ic] + ptau[1] * pg[1][ir] * pg[1][ic] + ptau[5] * pg[2][ir] * pg[1][ic] + ptau[4] * pg[0][ir] * pg[2][ic] + ptau[5] * pg[1][ir] * pg[2][ic] + ptau[2] * pg[2][ir] * pg[2][ic]; } pout += nEP; } } /* for (iqp) */ break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; pg[1] = pgc + nEP; ptau = FMF_PtrLevel( tau, iqp ); pout = FMF_PtrLevel( out, iqp ); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = ptau[0] * pg[0][ir] * pg[0][ic] + ptau[2] * pg[1][ir] * pg[0][ic] + ptau[2] * pg[0][ir] * pg[1][ic] + ptau[1] * pg[1][ir] * pg[1][ic]; } pout += nEP; } } /* for (iqp) */ break; case 1: for (iqp = 0; iqp < nQP; iqp++) { pgc = FMF_PtrLevel( gc, iqp ); pg[0] = pgc; ptau = FMF_PtrLevel( tau, iqp ); pout = FMF_PtrLevel( out, iqp ); for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout[ic] = ptau[0] * pg[0][ir] * pg[0][ic]; } pout += nEP; } } /* for (iqp) */ break; } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "dq_finite_strain" int32 dq_finite_strain( FMField *mtxF, FMField *detF, FMField *vecCS, FMField *trC, FMField *in2C, FMField *vecInvCS, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 mode_ul) { int32 ii, id, iqp, nQP, dim, ret = RET_OK; FMField *st = 0, *mtx1 = 0, *mtx2 = 0; state->val = FMF_PtrFirst( state ) + offset; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &st, 1, 1, nEP, dim ); fmf_createAlloc( &mtx1, 1, nQP, dim, dim ); fmf_createAlloc( &mtx2, 1, nQP, dim, dim ); for (ii = 0; ii < nEl; ii++) { FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( mtxF, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( vecCS, ii ); FMF_SetCell( trC, ii ); FMF_SetCell( in2C, ii ); FMF_SetCell( vecES, ii ); if ( vecInvCS > 0 ) { FMF_SetCell( vecInvCS, ii ); } // Deformation gradient. ele_extractNodalValuesNBN( st, state, conn + nEP * ii ); fmf_mulATBT_1n( mtxF, st, vg->bfGM ); /* fmf_mulAB_n1( mtxF, vg->bfGM, st ); */ for (iqp = 0; iqp < nQP; iqp++) { for (id = 0; id < dim; id++) { mtxF->val[dim*(dim*iqp+id)+id] += 1.0; } } // Determinant of deformation gradient. geme_det3x3( detF->val, mtxF ); for (iqp = 0; iqp < nQP; iqp++) { if (detF->val[iqp] <= MachEps) { errput( "warp violation %e at (iel: %d, iqp: %d)!\n", detF->val[iqp], ii, iqp ); } } if (mode_ul) { // Left Cauchy-Green tensor b = F F^T. fmf_mulABT_nn( mtx1, mtxF, mtxF ); } else { // Right Cauchy-Green tensor C = F^T F. fmf_mulATB_nn( mtx1, mtxF, mtxF ); } geme_tensor2vectorS3( vecCS, mtx1 ); // trace C. /* geme_trace3x3( trC->val, mtx1 ); */ geme_invar1( trC->val, mtx1 ); // I_2 of C. geme_invar2( in2C->val, mtx1 ); if ( vecInvCS > 0 ) { // C^{-1} as a vector, symmetric storage. geme_invert3x3( mtx2, mtx1 ); geme_tensor2vectorS3( vecInvCS, mtx2 ); } form_tlcc_strainGreen_VS( vecES, mtxF ); ERR_CheckGo( ret ); } end_label: errclear(); // Prevent false memory errors in mem_free_mem(). fmf_freeDestroy( &st ); fmf_freeDestroy( &mtx1 ); fmf_freeDestroy( &mtx2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_finite_strain_tl" int32 dq_finite_strain_tl( FMField *mtxF, FMField *detF, FMField *vecCS, FMField *trC, FMField *in2C, FMField *vecInvCS, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ) { return( dq_finite_strain( mtxF, detF, vecCS, trC, in2C, vecInvCS, vecES, state, offset, vg, conn, nEl, nEP, 0 ) ); } #undef __FUNC__ #define __FUNC__ "dq_finite_strain_ul" int32 dq_finite_strain_ul( FMField *mtxF, FMField *detF, FMField *vecBS, FMField *trB, FMField *in2B, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ) { return( dq_finite_strain( mtxF, detF, vecBS, trB, in2B, 0, vecES, state, offset, vg, conn, nEl, nEP, 1 ) ); } #undef __FUNC__ #define __FUNC__ "dq_tl_finite_strain_surface" int32 dq_tl_finite_strain_surface( FMField *mtxF, FMField *detF, FMField *mtxFI, FMField *state, int32 offset, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nEP) { int32 ii, iel, id, iqp, nQP, dim, ret = RET_OK; FMField *st = 0; state->val = FMF_PtrFirst( state ) + offset; nQP = sg->bfGM->nLev; dim = sg->bfGM->nRow; fmf_createAlloc( &st, 1, 1, nEP, dim ); for (ii = 0; ii < nFa; ii++) { iel = fis[ii*nFP+0]; FMF_SetCell( sg->bfGM, ii ); FMF_SetCell( mtxF, ii ); FMF_SetCell( mtxFI, ii ); FMF_SetCell( detF, ii ); // Deformation gradient. ele_extractNodalValuesNBN( st, state, conn + nEP * iel ); fmf_mulATBT_1n( mtxF, st, sg->bfGM ); for (iqp = 0; iqp < nQP; iqp++) { for (id = 0; id < dim; id++) { mtxF->val[dim*(dim*iqp+id)+id] += 1.0; } } // Determinant of deformation gradient. geme_det3x3( detF->val, mtxF ); for (iqp = 0; iqp < nQP; iqp++) { if (detF->val[iqp] <= MachEps) { errput( "warp violation %e at (iel: %d, iqp: %d)!\n", detF->val[iqp], iel, iqp ); } } geme_invert3x3( mtxFI, mtxF ); ERR_CheckGo( ret ); } end_label: errclear(); // Prevent false memory errors in mem_free_mem(). fmf_freeDestroy( &st ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_he_rtm" int32 dw_he_rtm( FMField *out, FMField *stress, FMField *tan_mod, FMField *mtxF, FMField *detF, Mapping *vg, int32 isDiff, int32 mode_ul ) { int32 ii, j, sym, nRow, nQP, nEP, ret = RET_OK, dim; FMField *aux = 0, *out_qp = 0, *btd = 0, *btdb = 0, *ktsc = 0, *iktsc = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; sym = stress->nRow; nRow = out->nRow; // dim * nEP. dim = vg->dim; if (mode_ul) { fmf_createAlloc( &aux, 1, 1, 1, nQP ); } else { fmf_createAlloc( &aux, 1, nQP, sym, nRow ); } if (isDiff) { int32 nEP = vg->nEP; fmf_createAlloc( &btd, 1, nQP, nRow, sym ); fmf_createAlloc( &btdb, 1, nQP, nRow, nRow ); fmf_createAlloc( &ktsc, 1, nQP, nEP, nEP ); fmf_createAlloc( &iktsc, 1, 1, nEP, nEP ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stress, ii ); FMF_SetCell( tan_mod, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); /* B^T D B. */ if (mode_ul) { /* ULF */ FMF_SetCell( detF, ii ); for (j = 0; j < nQP; j++) /* det/J */ aux->val[j] = vg->det->val[j] / detF->val[j]; form_sdcc_actOpGT_M3( btd, vg->bfGM, tan_mod ); form_sdcc_actOpG_RM3( btdb, btd, vg->bfGM ); fmf_sumLevelsMulF( out, btdb, aux->val ); /* + K_{t\sigma}. */ form_tlcc_buildOpKtsC_VS3( ktsc, stress, vg->bfGM ); fmf_sumLevelsMulF( iktsc, ktsc, aux->val ); } else { /* TLF */ FMF_SetCell( mtxF, ii ); form_tlcc_buildOpB_VS3( aux, mtxF, vg->bfGM ); fmf_mulATB_nn( btd, aux, tan_mod ); fmf_mulAB_nn( btdb, btd, aux ); fmf_sumLevelsMulF( out, btdb, vg->det->val ); /* + K_{t\sigma}. */ form_tlcc_buildOpKtsC_VS3( ktsc, stress, vg->bfGM ); fmf_sumLevelsMulF( iktsc, ktsc, vg->det->val ); } fmfr_addA_blockNC( out, iktsc, 0, 0 ); if (dim > 1) fmfr_addA_blockNC( out, iktsc, nEP, nEP ); if (dim > 2) fmfr_addA_blockNC( out, iktsc, 2 * nEP, 2 * nEP ); ERR_CheckGo( ret ); } } else { fmf_createAlloc( &out_qp, 1, nQP, nRow, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stress, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (mode_ul) { /* ULF */ FMF_SetCell( detF, ii ); for (j = 0; j < nQP; j++) /* det/J */ aux->val[j] = vg->det->val[j] / detF->val[j]; form_sdcc_actOpGT_M3( out_qp, vg->bfGM, stress ); fmf_sumLevelsMulF( out, out_qp, aux->val ); } else { /* TLF */ FMF_SetCell( mtxF, ii ); form_tlcc_buildOpB_VS3( aux, mtxF, vg->bfGM ); fmf_mulATB_nn( out_qp, aux, stress ); fmf_sumLevelsMulF( out, out_qp, vg->det->val ); } ERR_CheckGo( ret ); } } end_label: fmf_freeDestroy( &aux ); if (isDiff) { fmf_freeDestroy( &btd ); fmf_freeDestroy( &btdb ); fmf_freeDestroy( &ktsc ); fmf_freeDestroy( &iktsc ); } else { fmf_freeDestroy( &out_qp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "de_he_rtm" int32 de_he_rtm( FMField *out, FMField *stress, FMField *detF, Mapping *vg, int32 *elList, int32 elList_nRow, int32 mode_ul ) { int32 ii, iel, nQP, ret = RET_OK, j; FMField *aux = 0; nQP = vg->det->nLev; if (mode_ul) { fmf_createAlloc( &aux, 1, 1, 1, nQP ); } for (ii = 0; ii < elList_nRow; ii++) { iel = elList[ii]; FMF_SetCell( out, ii ); FMF_SetCell( stress, iel ); FMF_SetCell( vg->det, iel ); FMF_SetCell( detF, iel ); if (mode_ul) { /* ULF */ for (j = 0; j < nQP; j++) /* det/J */ aux->val[j] = vg->det->val[j] / detF->val[j]; fmf_sumLevelsMulF( out, stress, aux->val ); } else { /* TLF */ fmf_sumLevelsMulF( out, stress, vg->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_he_stress_bulk" int32 dq_he_stress_bulk( FMField *out,FMField *mat, FMField *detF, FMField *vecCG, int32 mode_ul ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 *pbulk, *pstress, *pCG, *pdetF, *ptrace; nQP = detF->nLev; sym = out->nRow; ptrace = get_trace( sym ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); pstress = FMF_PtrCell( out, ii ); pbulk = FMF_PtrCell( mat, ii ); if (mode_ul) { /* ULF */ for (iqp = 0; iqp < nQP; iqp++) { // Volumetric part. for (ir = 0; ir < sym; ir++) { /* Crisfield II., (13.35) */ pstress[ir] = pbulk[iqp] * pdetF[iqp] * (pdetF[iqp] - 1.0) * ptrace[ir]; } pstress += sym; } } else { /* TLF */ pCG = FMF_PtrCell( vecCG, ii ); for (iqp = 0; iqp < nQP; iqp++) { // Volumetric part. for (ir = 0; ir < sym; ir++) { /* Crisfield II., (13.35) */ pstress[ir] = pbulk[iqp] * pdetF[iqp] * (pdetF[iqp] - 1.0) * pCG[ir]; } pstress += sym; pCG += sym; } } /* if (mode_ul) */ ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_stress_bulk" int32 dq_tl_he_stress_bulk( FMField *out,FMField *mat, FMField *detF, FMField *vecInvCS ) { return( dq_he_stress_bulk( out, mat, detF, vecInvCS, 0 ) ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_stress_bulk" int32 dq_ul_he_stress_bulk( FMField *out,FMField *mat, FMField *detF ) { return( dq_he_stress_bulk( out, mat, detF, NULL, 1 ) ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_stress_bulk_active" int32 dq_tl_he_stress_bulk_active( FMField *out,FMField *mat, FMField *detF, FMField *vecCG ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 *pmat, *pstress, *pCG, *pdetF; nQP = detF->nLev; sym = out->nRow; for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); pstress = FMF_PtrCell( out, ii ); pmat = FMF_PtrCell( mat, ii ); pCG = FMF_PtrCell( vecCG, ii ); for (iqp = 0; iqp < nQP; iqp++) { // Volumetric part. for (ir = 0; ir < sym; ir++) { pstress[ir] = pmat[iqp] * pdetF[iqp] * pCG[ir]; } pstress += sym; pCG += sym; } ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_he_stress_neohook" int32 dq_he_stress_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecCG, int32 mode_ul ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 detF23; float64 *pmu, *pstress, *ptrC, *pCG, *pdetF, *ptrace; nQP = detF->nLev; sym = out->nRow; ptrace = get_trace( sym ); /* output( "%d\n", sym ); */ for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); ptrC = FMF_PtrCell( trC, ii ); pCG = FMF_PtrCell( vecCG, ii ); pstress = FMF_PtrCell( out, ii ); pmu = FMF_PtrCell( mat, ii ); if (mode_ul) { /* ULF */ for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); for (ir = 0; ir < sym; ir++) { /* Crisfield II., (13.35) */ pstress[ir] = pmu[iqp] * detF23 * (pCG[ir] - ptrC[iqp]/3.0 * ptrace[ir]); } pstress += sym; pCG += sym; } } else { /* TLF */ for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); for (ir = 0; ir < sym; ir++) { /* Crisfield II., (13.35) */ pstress[ir] = pmu[iqp] * detF23 * (ptrace[ir] - ptrC[iqp]/3.0 * pCG[ir]); /* output( "%d %d %d %f %f %f %f\n", ii, iqp, ir, */ /* pmu[iqp], ptrC[iqp], pinvC[ir], pstress[ir] ); */ } pstress += sym; pCG += sym; } } /* if (mode_ul) */ ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_stress_neohook" int32 dq_tl_he_stress_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS ) { return ( dq_he_stress_neohook( out, mat, detF, trC, vecInvCS, 0 ) ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_stress_neohook" int32 dq_ul_he_stress_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS ) { return ( dq_he_stress_neohook( out, mat, detF, trB, vecBS, 1 ) ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_stress_mooney_rivlin" int32 dq_tl_he_stress_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 detF23; float64 *pkappa, *pstress, *ptrC, *pinvC, *pdetF, *pC, *pin2C, *ptrace; nQP = detF->nLev; sym = out->nRow; ptrace = get_trace( sym ); /* output( "%d\n", sym ); */ for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); ptrC = FMF_PtrCell( trC, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pC = FMF_PtrCell( vecCS, ii ); pin2C = FMF_PtrCell( in2C, ii ); pstress = FMF_PtrCell( out, ii ); pkappa = FMF_PtrCell( mat, ii ); for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); for (ir = 0; ir < sym; ir++) { pstress[ir] = pkappa[iqp] * detF23 * detF23 * (ptrC[iqp] * ptrace[ir] - pC[ir] - (2.0/3.0) * pin2C[iqp] * pinvC[ir]); } pstress += sym; pinvC += sym; pC += sym; } ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_stress_mooney_rivlin" /*! Mooney-Rivlin ( c1, c2 ) Kirchhoff stress tensor tau = B1 * b + B2 * b*b + B3 * I */ int32 dq_ul_he_stress_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 detF23; float64 *pkappa, *pstress, *ptrB, *pB, *pBB, *pdetF, *pin2B, *ptrace; FMField *vecBB; nQP = detF->nLev; sym = out->nRow; ptrace = get_trace( sym ); fmf_createAlloc( &vecBB, 1, nQP, sym, 1 ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); ptrB = FMF_PtrCell( trB, ii ); pin2B = FMF_PtrCell( in2B, ii ); pB = FMF_PtrCell( vecBS, ii ); pBB = vecBB->val0; FMF_SetCell( vecBS, ii ); geme_mulT2S_AA( vecBB, vecBS ); pstress = FMF_PtrCell( out, ii ); pkappa = FMF_PtrCell( mat, ii ); for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); for (ir = 0; ir < sym; ir++) { pstress[ir] = pkappa[iqp] * detF23 * detF23 * (ptrB[iqp] * pB[ir] - pBB[ir] - (2.0/3.0) * pin2B[iqp] * ptrace[ir]); } pstress += sym; pBB += sym; pB += sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &vecBB ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_tan_mod_bulk" int32 dq_tl_he_tan_mod_bulk( FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cbulk21, cbulk22; float64 *pd; float64 *pbulk; float64 *pinvC, *pdetF, *pinvC2_ikjl, *pinvC2_iljk; FMField *invC2_ikjl = 0, *invC2_iljk = 0; sym = out->nRow; nQP = out->nLev; fmf_createAlloc( &invC2_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &invC2_iljk, 1, nQP, sym, sym ); pinvC2_ikjl = FMF_PtrCurrent( invC2_ikjl ); pinvC2_iljk = FMF_PtrCurrent( invC2_iljk ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vecInvCS, ii ); pdetF = FMF_PtrCell( detF, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pd = FMF_PtrCell( out, ii ); pbulk = FMF_PtrCell( mat, ii ); geme_mulT2ST2S_T4S_ikjl( invC2_ikjl, vecInvCS, vecInvCS ); geme_mulT2ST2S_T4S_iljk( invC2_iljk, vecInvCS, vecInvCS ); for (iqp = 0; iqp < nQP; iqp++) { cbulk21 = pbulk[iqp] * pdetF[iqp] * (pdetF[iqp] - 1.0); cbulk22 = pbulk[iqp] * pdetF[iqp] * pdetF[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = (cbulk21 + cbulk22) * pinvC[sym*iqp+ir] * pinvC[sym*iqp+ic] - cbulk21 * (pinvC2_ikjl[sym*(sym*iqp+ir)+ic] + pinvC2_iljk[sym*(sym*iqp+ir)+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &invC2_ikjl ); fmf_freeDestroy( &invC2_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_tan_mod_bulk" int32 dq_ul_he_tan_mod_bulk( FMField *out, FMField *mat, FMField *detF ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cbulk21, cbulk22; float64 *pd; float64 *pbulk; float64 *pdetF, *p_ikjl, *p_iljk, *ptrace; FMField *ikjl = 0, *iljk = 0; FMField traceVec[1]; sym = out->nRow; nQP = out->nLev; ptrace = get_trace( sym ); fmf_createAlloc( &ikjl, 1, 1, sym, sym ); fmf_createAlloc( &iljk, 1, 1, sym, sym ); traceVec->nAlloc = -1; fmf_pretend( traceVec, 1, 1, sym, 1, ptrace ); p_ikjl = FMF_PtrCurrent( ikjl ); p_iljk = FMF_PtrCurrent( iljk ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); pd = FMF_PtrCell( out, ii ); pbulk = FMF_PtrCell( mat, ii ); geme_mulT2ST2S_T4S_ikjl( ikjl, traceVec, traceVec ); geme_mulT2ST2S_T4S_iljk( iljk, traceVec, traceVec ); for (iqp = 0; iqp < nQP; iqp++) { cbulk21 = pbulk[iqp] * pdetF[iqp] * (pdetF[iqp] - 1.0); cbulk22 = pbulk[iqp] * pdetF[iqp] * pdetF[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = (cbulk21 + cbulk22) * ptrace[ir] * ptrace[ic] - cbulk21 * (p_ikjl[sym*ir+ic] + p_iljk[sym*ir+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &ikjl ); fmf_freeDestroy( &iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_tan_mod_bulk_active" int32 dq_tl_he_tan_mod_bulk_active( FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cmat; float64 *pd; float64 *pmat; float64 *pinvC, *pdetF, *pinvC2_ikjl, *pinvC2_iljk; FMField *invC2_ikjl = 0, *invC2_iljk = 0; sym = out->nRow; nQP = out->nLev; fmf_createAlloc( &invC2_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &invC2_iljk, 1, nQP, sym, sym ); pinvC2_ikjl = FMF_PtrCurrent( invC2_ikjl ); pinvC2_iljk = FMF_PtrCurrent( invC2_iljk ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vecInvCS, ii ); pdetF = FMF_PtrCell( detF, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pd = FMF_PtrCell( out, ii ); pmat = FMF_PtrCell( mat, ii ); geme_mulT2ST2S_T4S_ikjl( invC2_ikjl, vecInvCS, vecInvCS ); geme_mulT2ST2S_T4S_iljk( invC2_iljk, vecInvCS, vecInvCS ); for (iqp = 0; iqp < nQP; iqp++) { cmat = pmat[iqp] * pdetF[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = cmat * pinvC[sym*iqp+ir] * pinvC[sym*iqp+ic] - cmat * (pinvC2_ikjl[sym*(sym*iqp+ir)+ic] + pinvC2_iljk[sym*(sym*iqp+ir)+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &invC2_ikjl ); fmf_freeDestroy( &invC2_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_tan_mod_neohook" int32 dq_tl_he_tan_mod_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cc, c1, c2, c3, detF23; float64 *pd; float64 *pmu; float64 *pinvC, *ptrC, *pdetF, *pinvC2_ikjl, *pinvC2_iljk, *ptrace; FMField *invC2_ikjl = 0, *invC2_iljk = 0; sym = out->nRow; nQP = out->nLev; ptrace = get_trace( sym ); fmf_createAlloc( &invC2_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &invC2_iljk, 1, nQP, sym, sym ); pinvC2_ikjl = FMF_PtrCurrent( invC2_ikjl ); pinvC2_iljk = FMF_PtrCurrent( invC2_iljk ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vecInvCS, ii ); pdetF = FMF_PtrCell( detF, ii ); ptrC = FMF_PtrCell( trC, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pd = FMF_PtrCell( out, ii ); pmu = FMF_PtrCell( mat, ii ); geme_mulT2ST2S_T4S_ikjl( invC2_ikjl, vecInvCS, vecInvCS ); geme_mulT2ST2S_T4S_iljk( invC2_iljk, vecInvCS, vecInvCS ); for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); cc = pmu[iqp] * detF23; c1 = 2.0/9.0 * cc * ptrC[iqp]; c2 = - 2.0/3.0 * cc; c3 = cc / 3.0 * ptrC[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = c1 * pinvC[sym*iqp+ir] * pinvC[sym*iqp+ic] + c2 * ((pinvC[sym*iqp+ir] * ptrace[ic]) + (pinvC[sym*iqp+ic] * ptrace[ir])) + c3 * (pinvC2_ikjl[sym*(sym*iqp+ir)+ic] + pinvC2_iljk[sym*(sym*iqp+ir)+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &invC2_ikjl ); fmf_freeDestroy( &invC2_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_tan_mod_neohook" int32 dq_ul_he_tan_mod_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cc, c1, c2, c3, detF23; float64 *pd; float64 *pmu; float64 *pBG, *ptrB, *pdetF, *pd_ikjl, *pd_iljk, *ptrace; FMField *d_ikjl = 0, *d_iljk = 0; FMField traceVec[1]; sym = out->nRow; nQP = out->nLev; ptrace = get_trace( sym ); fmf_createAlloc( &d_ikjl, 1, 1, sym, sym ); fmf_createAlloc( &d_iljk, 1, 1, sym, sym ); traceVec->nAlloc = -1; fmf_pretend( traceVec, 1, 1, sym, 1, ptrace ); pd_ikjl = FMF_PtrCurrent( d_ikjl ); pd_iljk = FMF_PtrCurrent( d_iljk ); geme_mulT2ST2S_T4S_ikjl( d_ikjl, traceVec, traceVec ); geme_mulT2ST2S_T4S_iljk( d_iljk, traceVec, traceVec ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vecBS, ii ); pdetF = FMF_PtrCell( detF, ii ); ptrB = FMF_PtrCell( trB, ii ); pBG = FMF_PtrCell( vecBS, ii ); pd = FMF_PtrCell( out, ii ); pmu = FMF_PtrCell( mat, ii ); for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); cc = pmu[iqp] * detF23; c1 = 2.0/9.0 * cc * ptrB[iqp]; c2 = - 2.0/3.0 * cc; c3 = cc / 3.0 * ptrB[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = c1 * ptrace[ir] * ptrace[ic] + c2 * ((pBG[sym*iqp+ir] * ptrace[ic]) + (pBG[sym*iqp+ic] * ptrace[ir])) + c3 * (pd_ikjl[sym*ir+ic] + pd_iljk[sym*ir+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &d_ikjl ); fmf_freeDestroy( &d_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_he_tan_mod_mooney_rivlin" int32 dq_tl_he_tan_mod_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C ) { int32 ii, nQP, ir, ic, iqp, sym, dim, ret = RET_OK; float64 c1, c2, c3, c4, c5, c6, detF23, detF43; float64 *pd; float64 *pkappa, *ptrace; float64 *pinvC, *ptrC, *pdetF, *pC, *pin2C, *pinvC2_ikjl, *pinvC2_iljk; FMField *invC2_ikjl = 0, *invC2_iljk = 0; sym = out->nRow; nQP = out->nLev; dim = sym2dim( sym ); ptrace = get_trace( sym ); fmf_createAlloc( &invC2_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &invC2_iljk, 1, nQP, sym, sym ); pinvC2_ikjl = FMF_PtrCurrent( invC2_ikjl ); pinvC2_iljk = FMF_PtrCurrent( invC2_iljk ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); ptrC = FMF_PtrCell( trC, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pin2C = FMF_PtrCell( in2C, ii ); pC = FMF_PtrCell( vecCS, ii ); FMF_SetCell( vecInvCS, ii ); pd = FMF_PtrCell( out, ii ); pkappa = FMF_PtrCell( mat, ii ); geme_mulT2ST2S_T4S_ikjl( invC2_ikjl, vecInvCS, vecInvCS ); geme_mulT2ST2S_T4S_iljk( invC2_iljk, vecInvCS, vecInvCS ); for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); detF43 = detF23 * detF23; c1 = 8.0/9.0 * pkappa[iqp] * detF43 * pin2C[iqp]; c2 = - 4.0/3.0 * pkappa[iqp] * detF43 * ptrC[iqp]; c3 = 2.0/3.0 * pkappa[iqp] * detF43 * pin2C[iqp]; c4 = 2.0 * pkappa[iqp] * detF43; c5 = - pkappa[iqp] * detF43; c6 = 4.0/3.0 * pkappa[iqp] * detF43; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = c1 * pinvC[sym*iqp+ir] * pinvC[sym*iqp+ic] + c2 * ((pinvC[sym*iqp+ir] * ptrace[ic]) + (pinvC[sym*iqp+ic] * ptrace[ir])) + c3 * (pinvC2_ikjl[sym*(sym*iqp+ir)+ic] + pinvC2_iljk[sym*(sym*iqp+ir)+ic]) + c4 * (ptrace[ir] * ptrace[ic]) + c6 * ((pC[sym*iqp+ir] * pinvC[sym*iqp+ic]) + (pC[sym*iqp+ic] * pinvC[sym*iqp+ir])) ; } } for (ir = 0; ir < dim; ir++) { pd[sym*ir+ir] += 2.0 * c5; } for (ir = dim; ir < sym; ir++) { pd[sym*ir+ir] += c5; } pd += sym*sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &invC2_ikjl ); fmf_freeDestroy( &invC2_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_ul_he_tan_mod_mooney_rivlin" int32 dq_ul_he_tan_mod_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B ) { int32 ii, nQP, ir, ic, iqp, sym, dim, ret = RET_OK; float64 F1, F2, F3, F4, F5, F6, detF23, detF43; float64 *pd, *pkappa, *ptrace; float64 *ptrB, *pdetF, *pB, *pin2B, *pB_ikjl, *pB_iljk, *pd_ikjl, *pd_iljk, *pBB; FMField *B_ikjl = 0, *B_iljk = 0, *d_ikjl = 0, *d_iljk = 0, *vecBB = 0; FMField traceVec[1]; sym = out->nRow; nQP = out->nLev; dim = sym2dim( sym ); ptrace = get_trace( sym ); fmf_createAlloc( &B_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &B_iljk, 1, nQP, sym, sym ); fmf_createAlloc( &d_ikjl, 1, 1, sym, sym ); fmf_createAlloc( &d_iljk, 1, 1, sym, sym ); traceVec->nAlloc = -1; fmf_pretend( traceVec, 1, 1, sym, 1, ptrace ); fmf_createAlloc( &vecBB, 1, nQP, sym, 1 ); pB_ikjl = FMF_PtrCurrent( B_ikjl ); pB_iljk = FMF_PtrCurrent( B_iljk ); pd_ikjl = FMF_PtrCurrent( d_ikjl ); pd_iljk = FMF_PtrCurrent( d_iljk ); geme_mulT2ST2S_T4S_ikjl( d_ikjl, traceVec, traceVec ); geme_mulT2ST2S_T4S_iljk( d_iljk, traceVec, traceVec ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); ptrB = FMF_PtrCell( trB, ii ); pin2B = FMF_PtrCell( in2B, ii ); pB = FMF_PtrCell( vecBS, ii ); FMF_SetCell( vecBS, ii ); pd = FMF_PtrCell( out, ii ); pkappa = FMF_PtrCell( mat, ii ); pBB = vecBB->val0; geme_mulT2ST2S_T4S_ikjl( B_ikjl, vecBS, vecBS ); geme_mulT2ST2S_T4S_iljk( B_iljk, vecBS, vecBS ); geme_mulT2S_AA( vecBB, vecBS ); /* Crisfield II., (13.40), (13.41), (13.100) */ for (iqp = 0; iqp < nQP; iqp++) { detF23 = exp( -2.0/3.0 * log( pdetF[iqp] ) ); detF43 = detF23 * detF23; F1 = 16.0/9.0 * pkappa[iqp] * detF43 * pin2B[iqp]; F2 = -8.0/3.0 * pkappa[iqp] * detF43 * ptrB[iqp]; F3 = 4.0/3.0 * pkappa[iqp] * detF43 * pin2B[iqp]; F4 = 4.0 * pkappa[iqp] * detF43; F5 = -2.0 * pkappa[iqp] * detF43; F6 = 8.0/3.0 * pkappa[iqp] * detF43; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = F1 * ptrace[ir] * ptrace[ic] + F2 * (pB[ir] * ptrace[ic] + ptrace[ir] * pB[ic]) + F3 * (pd_ikjl[sym*ir+ic] + pd_iljk[sym*ir+ic]) + F4 * pB[ir] * pB[ic] + F5 * (pB_ikjl[sym*(sym*iqp+ir)+ic] + pB_iljk[sym*(sym*iqp+ir)+ic]) + F6 * (pBB[ir] * ptrace[ic] + pBB[ic] * ptrace[ir]); } } pd += sym*sym; pB += sym; pBB += sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &B_ikjl ); fmf_freeDestroy( &B_iljk ); fmf_freeDestroy( &d_ikjl ); fmf_freeDestroy( &d_iljk ); fmf_freeDestroy( &vecBB ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_he_stress_bulk_pressure" int32 dq_he_stress_bulk_pressure( FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS, int32 mode_ul ) { int32 ii, iqp, ir, sym, nQP, ret = RET_OK; float64 aux; float64 *pp = 0, *pstress = 0, *pCI = 0, *pdetF = 0, *ptrace; nQP = detF->nLev; sym = out->nRow; ptrace = get_trace( sym ); for (ii = 0; ii < out->nCell; ii++) { pstress = FMF_PtrCell( out, ii ); pp = FMF_PtrCell( pressure_qp, ii ); pdetF = FMF_PtrCell( detF, ii ); if (mode_ul) { for (iqp = 0; iqp < nQP; iqp++) { aux = - pp[iqp] * pdetF[iqp]; for (ir = 0; ir < sym; ir++) { pstress[ir] = aux * ptrace[ir]; } pstress += sym; } } else { pCI = FMF_PtrCell( vecInvCS, ii ); for (iqp = 0; iqp < nQP; iqp++) { aux = - pp[iqp] * pdetF[iqp]; for (ir = 0; ir < sym; ir++) { pstress[ir] = aux * pCI[ir]; } pstress += sym; pCI += sym; } } /* if mode_ul */ ERR_CheckGo( ret ); } end_label: return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_tl_stress_bulk_pressure" int32 dq_tl_stress_bulk_pressure( FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS ) { return( dq_he_stress_bulk_pressure( out, pressure_qp, detF, vecInvCS, 0 ) ); } #undef __FUNC__ #define __FUNC__ "dq_ul_stress_bulk_pressure" int32 dq_ul_stress_bulk_pressure( FMField *out, FMField *pressure_qp, FMField *detF ) { return( dq_he_stress_bulk_pressure( out, pressure_qp, detF, NULL, 1 ) ); } #undef __FUNC__ #define __FUNC__ "dq_tl_tan_mod_bulk_pressure_u" int32 dq_tl_tan_mod_bulk_pressure_u( FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cc; float64 *pd, *ppress; float64 *pinvC, *pdetF, *pinvC2_ikjl, *pinvC2_iljk; FMField *invC2_ikjl = 0, *invC2_iljk = 0; sym = out->nRow; nQP = out->nLev; fmf_createAlloc( &invC2_ikjl, 1, nQP, sym, sym ); fmf_createAlloc( &invC2_iljk, 1, nQP, sym, sym ); pinvC2_ikjl = FMF_PtrCurrent( invC2_ikjl ); pinvC2_iljk = FMF_PtrCurrent( invC2_iljk ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vecInvCS, ii ); pdetF = FMF_PtrCell( detF, ii ); pinvC = FMF_PtrCell( vecInvCS, ii ); pd = FMF_PtrCell( out, ii ); ppress = FMF_PtrCell( pressure_qp, ii ); geme_mulT2ST2S_T4S_ikjl( invC2_ikjl, vecInvCS, vecInvCS ); geme_mulT2ST2S_T4S_iljk( invC2_iljk, vecInvCS, vecInvCS ); for (iqp = 0; iqp < nQP; iqp++) { cc = pdetF[iqp] * ppress[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = - cc * pinvC[sym*iqp+ir] * pinvC[sym*iqp+ic] + cc * (pinvC2_ikjl[sym*(sym*iqp+ir)+ic] + pinvC2_iljk[sym*(sym*iqp+ir)+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &invC2_ikjl ); fmf_freeDestroy( &invC2_iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_ul_tan_mod_bulk_pressure_u" int32 dq_ul_tan_mod_bulk_pressure_u( FMField *out, FMField *pressure_qp, FMField *detF ) { int32 ii, nQP, ir, ic, iqp, sym, ret = RET_OK; float64 cc; float64 *pd, *ppress; float64 *pdetF, *p_ikjl, *p_iljk, *ptrace; FMField *ikjl = 0, *iljk = 0; FMField traceVec[1]; sym = out->nRow; nQP = out->nLev; ptrace = get_trace( sym ); fmf_createAlloc( &ikjl, 1, 1, sym, sym ); fmf_createAlloc( &iljk, 1, 1, sym, sym ); traceVec->nAlloc = -1; fmf_pretend( traceVec, 1, 1, sym, 1, ptrace ); p_ikjl = FMF_PtrCurrent( ikjl ); p_iljk = FMF_PtrCurrent( iljk ); for (ii = 0; ii < out->nCell; ii++) { pdetF = FMF_PtrCell( detF, ii ); pd = FMF_PtrCell( out, ii ); ppress = FMF_PtrCell( pressure_qp, ii ); geme_mulT2ST2S_T4S_ikjl( ikjl, traceVec, traceVec ); geme_mulT2ST2S_T4S_iljk( iljk, traceVec, traceVec ); for (iqp = 0; iqp < nQP; iqp++) { cc = pdetF[iqp] * ppress[iqp]; for (ir = 0; ir < sym; ir++) { for (ic = 0; ic < sym; ic++) { pd[sym*ir+ic] = - cc * ptrace[ir] * ptrace[ic] + cc * (p_ikjl[sym*ir+ic] + p_iljk[sym*ir+ic]); } } pd += sym * sym; } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &ikjl ); fmf_freeDestroy( &iljk ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_tl_volume" int32 dw_tl_volume( FMField *out, FMField *mtxF, FMField *vecInvCS, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode ) { int32 ii, nQP, nEP, nRow, sym, ret = RET_OK; FMField *aux = 0, *jcitb = 0, *fjcitb = 0; if (mode == 0) { fmf_createAlloc( &aux, 1, vgs->bf->nLev, vgs->bf->nRow, vgs->bf->nCol ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->det, ii ); FMF_SetCellX1( vgs->bf, ii ); FMF_SetCell( out, ii ); FMF_SetCell( detF, ii ); fmf_copy( aux, vgs->bf ); fmf_mul( aux, detF->val ); fmf_sumLevelsTMulF( out, aux, vgv->det->val ); ERR_CheckGo( ret ); } } else if ((mode == 1) || (mode == -1)) { nQP = vgv->bfGM->nLev; sym = vecInvCS->nRow; nEP = vgs->bf->nCol; nRow = vgv->bfGM->nRow * vgv->bfGM->nCol; /* dim * nEP */ fmf_createAlloc( &aux, 1, nQP, sym, nRow ); fmf_createAlloc( &jcitb, 1, nQP, 1, nRow ); fmf_createAlloc( &fjcitb, 1, nQP, nEP, nRow ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->bfGM, ii ); FMF_SetCell( vgv->det, ii ); FMF_SetCellX1( vgs->bf, ii ); FMF_SetCell( out, ii ); FMF_SetCell( mtxF, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( vecInvCS, ii ); form_tlcc_buildOpB_VS3( aux, mtxF, vgv->bfGM ); fmf_mulATB_nn( jcitb, vecInvCS, aux ); fmf_mul( jcitb, detF->val ); fmf_mulATB_nn( fjcitb, vgs->bf, jcitb ); if (transpose) { fmf_sumLevelsTMulF( out, fjcitb, vgv->det->val ); } else { fmf_sumLevelsMulF( out, fjcitb, vgv->det->val ); } fmf_mulC( out, mode ); ERR_CheckGo( ret ); } } else if (mode == 2){ // de_volume for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->det, ii ); FMF_SetCell( out, ii ); FMF_SetCell( detF, ii ); fmf_sumLevelsMulF( out, detF, vgv->det->val ); ERR_CheckGo( ret ); } } else { // mode == 3, de_rel_volume for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->det, ii ); FMF_SetCell( vgv->volume, ii ); FMF_SetCell( out, ii ); FMF_SetCell( detF, ii ); fmf_sumLevelsMulF( out, detF, vgv->det->val ); fmf_mulC( out, 1.0 / vgv->volume->val[0] ); ERR_CheckGo( ret ); } } end_label: fmf_freeDestroy( &aux ); fmf_freeDestroy( &jcitb ); fmf_freeDestroy( &fjcitb ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_ul_volume" int32 dw_ul_volume( FMField *out, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode ) { int32 ii, iqp, nQP, nEPu, nEPp, dim, ret = RET_OK; FMField *aux = 0, aux2[1]; float64 *paux, *pgc; nQP = vgv->bfGM->nLev; nEPu = vgv->bfGM->nCol; dim = vgv->bfGM->nRow; nEPp = vgs->bf->nCol; if (mode == 0) { fmf_createAlloc( &aux, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( detF, ii ); FMF_SetCell( vgv->det, ii ); FMF_SetCellX1( vgs->bf, ii ); FMF_SetCell( out, ii ); for (iqp = 0; iqp < nQP; iqp++) { aux->val[iqp] = (1.0 - 1.0 / detF->val[iqp]) * vgv->det->val[iqp]; } /* \int N^T (1 - 1/J) */ fmf_sumLevelsTMulF( out, vgs->bf, aux->val ); ERR_CheckGo( ret ); } } else if ((mode == 1) || (mode == -1)) { fmf_createAlloc( &aux, 1, nQP, nEPp, dim * nEPu ); aux2->nAlloc = -1; fmf_pretend( aux2, 1, nQP, 1, dim * nEPu, NULL ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->bfGM, ii ); FMF_SetCell( vgv->det, ii ); FMF_SetCellX1( vgs->bf, ii ); FMF_SetCell( out, ii ); aux2->val = vgv->bfGM->val; /* \int N^T \delta B*/ fmf_mulATB_nn( aux, vgs->bf, aux2 ); if (transpose) { fmf_sumLevelsTMulF( out, aux, vgv->det->val ); } else { fmf_sumLevelsMulF( out, aux, vgv->det->val ); } if (mode == -1) { fmf_mulC(out, -1.0); } ERR_CheckGo( ret ); } } else if (mode == 2){ // de_volume for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->det, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( out, ii ); fmf_sumLevelsMulF( out, detF, vgv->det->val ); ERR_CheckGo( ret ); } } else { // mode == 3, de_rel_volume for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( vgv->det, ii ); FMF_SetCell( vgv->volume, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( out, ii ); fmf_sumLevelsMulF( out, detF, vgv->det->val ); fmf_mulC( out, 1.0 / vgv->volume->val[0] ); ERR_CheckGo( ret ); } } end_label: fmf_freeDestroy( &aux ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_tl_diffusion" int32 dw_tl_diffusion( FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxF, FMField *detF, Mapping *vg, int32 mode ) { int32 ii, iqp, dim, nEP, nQP, ret = RET_OK; float64 val; FMField *gtd = 0, *gtdg = 0, *dgp = 0, *gtdgp = 0; FMField *coef = 0, *perm = 0, *mtxFI = 0, *aux = 0, *mtxK = 0, *w_qp = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; nEP = vg->bfGM->nCol; fmf_createAlloc( &coef, 1, nQP, 1, 1 ); fmf_createAlloc( &perm, 1, nQP, dim, dim ); fmf_createAlloc( &mtxFI, 1, nQP, dim, dim ); fmf_createAlloc( &aux, 1, nQP, dim, dim ); if (mode < 2) { fmf_createAlloc( &mtxK, 1, nQP, dim, dim ); if (mode == 1) { fmf_createAlloc( >d, 1, nQP, nEP, dim ); fmf_createAlloc( >dg, 1, nQP, nEP, nEP ); } else { fmf_createAlloc( &dgp, 1, nQP, dim, 1 ); fmf_createAlloc( >dgp, 1, nQP, nEP, 1 ); } } else { fmf_createAlloc( &w_qp, 1, nQP, dim, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( mtxF, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( ref_porosity, ii ); // max(0, (1 + (J - 1) / N_f))^2 for (iqp = 0; iqp < nQP; iqp++) { val = 1.0 + ((detF->val[iqp] - 1.0) / ref_porosity->val[iqp]); if (val <= 0.0) val = 0.0; coef->val[iqp] = val * val; } // Actual permeability. fmf_mulAF( perm, mtxD, coef->val ); geme_invert3x3( mtxFI, mtxF ); if (mode < 2) { // Regular assembling. // Transformed permeability. fmf_mulAB_nn( aux, mtxFI, perm ); fmf_mulABT_nn( mtxK, aux, mtxFI ); fmf_mul( mtxK, detF->val ); if (mode == 1) { fmf_mulATB_nn( gtd, vg->bfGM, mtxK ); fmf_mulAB_nn( gtdg, gtd, vg->bfGM ); fmf_sumLevelsMulF( out, gtdg, vg->det->val ); } else { FMF_SetCell( pressure_grad, ii ); fmf_mulAB_nn( dgp, mtxK, pressure_grad ); fmf_mulATB_nn( gtdgp, vg->bfGM, dgp ); fmf_sumLevelsMulF( out, gtdgp, vg->det->val ); } } else { // Diffusion velocity averaged in elements. FMF_SetCell( vg->volume, ii ); FMF_SetCell( pressure_grad, ii ); fmf_mulABT_nn( aux, perm, mtxFI ); fmf_mulAB_nn( w_qp, aux, pressure_grad ); fmf_sumLevelsMulF( out, w_qp, vg->det->val ); fmf_mulC( out, -1.0 / vg->volume->val[0] ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &coef ); fmf_freeDestroy( &perm ); fmf_freeDestroy( &mtxFI ); fmf_freeDestroy( &aux ); if (mode < 2) { fmf_freeDestroy( &mtxK ); if (mode == 1) { fmf_freeDestroy( >d ); fmf_freeDestroy( >dg ); } else { fmf_freeDestroy( &dgp ); fmf_freeDestroy( >dgp ); } } else { fmf_freeDestroy( &w_qp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_tl_surface_flux" int32 d_tl_surface_flux( FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxFI, FMField *detF, Mapping *sg, int32 mode ) { int32 ii, iqp, dim, nQP, ret = RET_OK; float64 val; FMField *coef = 0, *perm = 0, *aux = 0, *mtxK = 0, *kgp = 0, *ntkgp = 0; nQP = sg->normal->nLev; dim = sg->normal->nRow; fmf_createAlloc( &coef, 1, nQP, 1, 1 ); fmf_createAlloc( &perm, 1, nQP, dim, dim ); fmf_createAlloc( &aux, 1, nQP, dim, dim ); fmf_createAlloc( &mtxK, 1, nQP, dim, dim ); fmf_createAlloc( &kgp, 1, nQP, dim, 1 ); fmf_createAlloc( &ntkgp, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( pressure_grad, ii ); FMF_SetCell( mtxD, ii ); FMF_SetCell( mtxFI, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( ref_porosity, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); // max(0, (1 + (J - 1) / N_f))^2 for (iqp = 0; iqp < nQP; iqp++) { val = 1.0 + ((detF->val[iqp] - 1.0) / ref_porosity->val[iqp]); if (val <= 0.0) val = 0.0; coef->val[iqp] = val * val; } // Actual permeability. fmf_mulAF( perm, mtxD, coef->val ); // Transformed permeability. fmf_mulAB_nn( aux, mtxFI, perm ); fmf_mulABT_nn( mtxK, aux, mtxFI ); fmf_mul( mtxK, detF->val ); // Flux. fmf_mulAB_nn( kgp, mtxK, pressure_grad ); fmf_mulATB_nn( ntkgp, sg->normal, kgp ); fmf_sumLevelsMulF( out, ntkgp, sg->det->val ); if (mode == 1) { FMF_SetCell( sg->volume, ii ); fmf_mulC( out, 1.0 / sg->volume->val[0] ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &coef ); fmf_freeDestroy( &perm ); fmf_freeDestroy( &aux ); fmf_freeDestroy( &mtxK ); fmf_freeDestroy( &kgp ); fmf_freeDestroy( &ntkgp ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_tl_surface_traction" int32 dw_tl_surface_traction( FMField *out, FMField *traction, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode ) { int32 ii, iqp, idr, idc, iep, ifa, nEP, nQP, dim, ret = RET_OK; float64 *pn2, *pbfBGS, *paux; FMField *n2 = 0, *stn2 = 0, *trq = 0; FMField *trdq = 0, *aux = 0, *staux = 0, *bfBGS = 0; dim = mtxFI->nRow; nQP = mtxFI->nLev; nEP = sg->bfGM->nCol; /* output( "%d %d %d\n", dim, nQP, nEP ); */ fmf_createAlloc( &n2, 1, nQP, dim, 1 ); if (mode == 0) { fmf_createAlloc( &stn2, 1, nQP, dim, 1 ); fmf_createAlloc( &trq, 1, nQP, dim * nEP, 1 ); } else { fmf_createAlloc( &bfBGS, 1, nQP, dim, nEP ); fmf_createAlloc( &aux, 1, nQP, dim, dim * nEP ); fmf_createAlloc( &staux, 1, nQP, dim, dim * nEP ); fmf_createAlloc( &trdq, 1, nQP, dim * nEP, dim * nEP ); } for (ii = 0; ii < out->nCell; ii++) { ifa = fis[ii*nFP+1]; FMF_SetCell( out, ii ); FMF_SetCellX1( traction, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( mtxFI, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCell( bf, ifa ); fmf_mulATB_nn( n2, mtxFI, sg->normal ); if (mode == 0) { fmf_mulATB_nn( stn2, traction, n2 ); fmf_mul( stn2, detF->val ); bf_actt( trq, bf, stn2 ); fmf_sumLevelsMulF( out, trq, sg->det->val ); } else { FMF_SetCell( sg->bfGM, ii ); fmf_mulATB_nn( bfBGS, mtxFI, sg->bfGM ); for (iqp = 0; iqp < nQP; iqp++) { pn2 = FMF_PtrLevel( n2, iqp ); pbfBGS = FMF_PtrLevel( bfBGS, iqp ); for (idr = 0; idr < dim; idr++) { paux = FMF_PtrRowOfLevel( aux, iqp, idr ); for (idc = 0; idc < dim; idc++) { for (iep = 0; iep < nEP; iep++) { paux[nEP*idc+iep] = (pn2[idr] * pbfBGS[nEP*idc+iep] - pn2[idc] * pbfBGS[nEP*idr+iep]) * detF->val[iqp]; } } } } fmf_mulATB_nn( staux, traction, aux ); bf_actt( trdq, bf, staux ); fmf_sumLevelsMulF( out, trdq, sg->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &n2 ); if (mode == 0) { fmf_freeDestroy( &stn2 ); fmf_freeDestroy( &trq ); } else { fmf_freeDestroy( &bfBGS ); fmf_freeDestroy( &aux ); fmf_freeDestroy( &staux ); fmf_freeDestroy( &trdq ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_tl_volume_surface" int32 d_tl_volume_surface( FMField *out, FMField *coors, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *conn, int32 nFa, int32 nFP ) { int32 ii, nQP, dim, ret = RET_OK; float64 val; FMField *aux = 0, *coors_qp = 0, *n2 = 0, *aux2 = 0; dim = mtxFI->nRow; nQP = mtxFI->nLev; val = 1.0 / dim; fmf_createAlloc( &aux, 1, 1, nFP, dim ); fmf_createAlloc( &coors_qp, 1, nQP, 1, dim ); fmf_createAlloc( &n2, 1, nQP, dim, 1 ); fmf_createAlloc( &aux2, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( detF, ii ); FMF_SetCell( mtxFI, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); ele_extractNodalValuesNBN( aux, coors, conn + nFP * ii ); fmf_mulAB_n1( coors_qp, sg->bf, aux ); fmf_mulATB_nn( n2, mtxFI, sg->normal ); fmf_mulAB_nn( aux2, coors_qp, n2 ); fmf_mul( aux2, detF->val ); fmf_sumLevelsMulF( out, aux2, sg->det->val ); fmf_mulC( out, val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &aux ); fmf_freeDestroy( &coors_qp ); fmf_freeDestroy( &n2 ); fmf_freeDestroy( &aux2 ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dq_def_grad" int32 dq_def_grad( FMField *out, FMField *state, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 mode ) { int32 ii, iel, id, iqp, nQP, dim, ret = RET_OK; FMField *st = 0, *mtxF = 0; state->val = FMF_PtrFirst( state ); nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &st, 1, 1, nEP, dim ); if (mode == 1) { fmf_createAlloc( &mtxF, 1, nQP, dim, dim ); } for (ii = 0; ii < nEl; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); // Deformation gradient. ele_extractNodalValuesNBN( st, state, conn + nEP * ii ); if (mode == 1) { fmf_mulATBT_1n( mtxF, st, vg->bfGM ); for (iqp = 0; iqp < nQP; iqp++) { for (id = 0; id < dim; id++) { mtxF->val[dim*(dim*iqp+id)+id] += 1.0; } } // Determinant of deformation gradient. geme_det3x3( out->val, mtxF ); } else { fmf_mulATBT_1n( out, st, vg->bfGM ); for (iqp = 0; iqp < nQP; iqp++) { for (id = 0; id < dim; id++) { out->val[dim*(dim*iqp+id)+id] += 1.0; } } } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); fmf_freeDestroy( &mtxF ); return( ret ); } #undef __FUNC__ #define __FUNC__ "he_residuum_from_mtx" int32 he_residuum_from_mtx(FMField *out, FMField *mtxD, FMField *state, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow) { int32 ii, iel, ret = RET_OK, dim; FMField *st = 0; FMField pst[1]; dim = mtxD->nRow / nEP; fmf_createAlloc( &st, 1, 1, dim, nEP ); pst->nAlloc = -1; fmf_pretend( pst, 1, 1, nEP * dim, 1, st->val ); for (ii = 0; ii < elList_nRow; ii++) { iel = elList[ii]; FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); ele_extractNodalValuesDBD( st, state, conn + nEP * iel ); fmf_mulAB_nn( out, mtxD, pst ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); return( ret ); } #undef __FUNC__ #define __FUNC__ "he_eval_from_mtx" int32 he_eval_from_mtx(FMField *out, FMField *mtxD, FMField *stateV, FMField *stateU, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow) { int32 ii, iel, ret = RET_OK, dim; FMField *st = 0, *aux = 0; FMField pst[1]; dim = mtxD->nRow / nEP; fmf_createAlloc( &st, 1, 1, dim, nEP ); pst->nAlloc = -1; fmf_pretend( pst, 1, 1, nEP * dim, 1, st->val ); fmf_createAlloc( &aux, 1, 1, nEP * dim, 1 ); for (ii = 0; ii < elList_nRow; ii++) { iel = elList[ii]; FMF_SetCell( out, ii ); FMF_SetCell( mtxD, ii ); ele_extractNodalValuesDBD( st, stateU, conn + nEP * iel ); fmf_mulAB_nn( aux, mtxD, pst ); ele_extractNodalValuesDBD( st, stateV, conn + nEP * iel ); fmf_mulATB_nn( out, pst, aux ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &st ); fmf_freeDestroy( &aux ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_hyperelastic.h000066400000000000000000000115111247364230400244560ustar00rootroot00000000000000#ifndef _TERMSHYPERELASTICITY_H_ #define _TERMSHYPERELASTICITY_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dq_finite_strain_tl( FMField *mtxF, FMField *detF, FMField *vecCS, FMField *trC, FMField *in2C, FMField *vecInvCS, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ); int32 dq_finite_strain_ul( FMField *mtxF, FMField *detF, FMField *vecBS, FMField *trB, FMField *in2B, FMField *vecES, FMField *state, int32 offset, Mapping *vg, int32 *conn, int32 nEl, int32 nEP ); int32 dq_tl_finite_strain_surface( FMField *mtxF, FMField *detF, FMField *mtxFI, FMField *state, int32 offset, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 *conn, int32 nEl, int32 nEP); int32 dq_tl_he_stress_bulk( FMField *out,FMField *mat, FMField *detF, FMField *vecInvCS ); int32 dq_ul_he_stress_bulk( FMField *out,FMField *mat, FMField *detF ); int32 dq_tl_he_stress_bulk_active( FMField *out,FMField *mat, FMField *detF, FMField *vecCG ); int32 dq_tl_he_stress_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS ); int32 dq_ul_he_stress_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS ); int32 dq_tl_he_stress_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C ); int32 dq_ul_he_stress_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B ); int32 dq_tl_he_tan_mod_bulk( FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS ); int32 dq_ul_he_tan_mod_bulk( FMField *out, FMField *mat, FMField *detF ); int32 dq_tl_he_tan_mod_bulk_active( FMField *out, FMField *mat, FMField *detF, FMField *vecInvCS ); int32 dq_tl_he_tan_mod_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS ); int32 dq_ul_he_tan_mod_neohook( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS ); int32 dq_tl_he_tan_mod_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trC, FMField *vecInvCS, FMField *vecCS, FMField *in2C ); int32 dq_ul_he_tan_mod_mooney_rivlin( FMField *out, FMField *mat, FMField *detF, FMField *trB, FMField *vecBS, FMField *in2B ); int32 dw_he_rtm( FMField *out, FMField *stress, FMField *tan_mod, FMField *mtxF, FMField *detF, Mapping *vg, int32 isDiff, int32 mode_ul ); int32 de_he_rtm( FMField *out, FMField *stress, FMField *detF, Mapping *vg, int32 *elList, int32 elList_nRow, int32 mode_ul ); int32 dq_tl_stress_bulk_pressure( FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS ); int32 dq_ul_stress_bulk_pressure( FMField *out, FMField *pressure_qp, FMField *detF); int32 dq_tl_tan_mod_bulk_pressure_u( FMField *out, FMField *pressure_qp, FMField *detF, FMField *vecInvCS ); int32 dq_ul_tan_mod_bulk_pressure_u( FMField *out, FMField *pressure_qp, FMField *detF ); int32 dw_tl_volume( FMField *out, FMField *mtxF, FMField *vecInvCS, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode ); int32 dw_ul_volume( FMField *out, FMField *detF, Mapping *vgs, Mapping *vgv, int32 transpose, int32 mode ); int32 dw_tl_diffusion( FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxF, FMField *detF, Mapping *vg, int32 mode ); int32 d_tl_surface_flux( FMField *out, FMField *pressure_grad, FMField *mtxD, FMField *ref_porosity, FMField *mtxFI, FMField *detF, Mapping *sg, int32 mode ); int32 dw_tl_surface_traction( FMField *out, FMField *traction, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *fis, int32 nFa, int32 nFP, int32 mode ); int32 d_tl_volume_surface( FMField *out, FMField *coors, FMField *detF, FMField *mtxFI, FMField *bf, Mapping *sg, int32 *conn, int32 nFa, int32 nFP ); int32 dq_def_grad( FMField *out, FMField *state, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 mode ); int32 he_residuum_from_mtx(FMField *out, FMField *mtxD, FMField *state, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow); int32 he_eval_from_mtx(FMField *out, FMField *mtxD, FMField *stateV, FMField *stateU, int32 *conn, int32 nEl, int32 nEP, int32 *elList, int32 elList_nRow); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_navier_stokes.c000066400000000000000000000635651247364230400246510ustar00rootroot00000000000000#include "terms_navier_stokes.h" #include "terms.h" #include "geommech.h" /* Below the DBD order is used. */ #undef __FUNC__ #define __FUNC__ "divgrad_build_gtg" /*! @par Revision history: - 26.10.2005, c - 24.05.2007 */ int32 divgrad_build_gtg( FMField *out, FMField *gc ) { int32 iqp, ir, ic, dim, nEP, nQP, nCol; float64 *pout1, *pout2, *pout3, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = out->nCol; dim = gc->nRow; #ifdef DEBUG_FMF if ((out->nCol != (dim * nEP)) || (out->nRow != (dim * nEP)) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol ); } #endif fmf_fillC( out, 0.0 ); switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + (nCol + 1) * nEP; pout3 = pout2 + (nCol + 1) * nEP; for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout1[ic] = pout2[ic] = pout3[ic] = pg1[ir] * pg1[ic] + pg2[ir] * pg2[ic] + pg3[ir] * pg3[ic]; } pout1 += nCol; pout2 += nCol; pout3 += nCol; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + (nCol + 1) * nEP; for (ir = 0; ir < nEP; ir++) { for (ic = 0; ic < nEP; ic++) { pout1[ic] = pout2[ic] = pg1[ir] * pg1[ic] + pg2[ir] * pg2[ic]; } pout1 += nCol; pout2 += nCol; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pout1 = FMF_PtrLevel(out, iqp); for (ir = 0; ir < nEP; ir++){ for (ic = 0; ic < nEP; ic++){ pout1[ic] = pg1[ir] * pg1[ic]; } pout1 += nCol; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "divgrad_act_g_m" /*! @par Revision history: - 26.10.2005, c - 28.11.2005 - 14.12.2005 - 24.05.2007 */ int32 divgrad_act_g_m( FMField *out, FMField *gc, FMField *mtx ) { int32 iqp, ir, ic, ik, dim, nEP, nQP, nCol; float64 val1, val2, val3; float64 *pout, *pmtx, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; dim = gc->nRow; #ifdef DEBUG_FMF if ((out->nCol != mtx->nCol) || (out->nRow != (dim * dim)) || (mtx->nRow != (dim * nEP)) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol, mtx->nLev, mtx->nRow, mtx->nCol ); } #endif /* output( "%d %d %d %d\n", nEP, nQP, nCol, dim ); */ switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout = FMF_PtrLevel( out, iqp ); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel( mtx, iqp ); } else { pmtx = FMF_PtrCurrent( mtx ); } for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < nCol; ic++) { val1 = val2 = val3 = 0.0; for (ik = 0; ik < nEP; ik++) { /* output( "%d %d %d %d\n", iqp, ir, ic, ik ); */ val1 += pg1[ik] * pmtx[ic+nCol*ik]; val2 += pg2[ik] * pmtx[ic+nCol*ik]; val3 += pg3[ik] * pmtx[ic+nCol*ik]; } pout[dim*nCol*ir+ic+0] = val1; pout[dim*nCol*ir+ic+nCol] = val2; pout[dim*nCol*ir+ic+2*nCol] = val3; } pmtx += nCol * nEP; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout = FMF_PtrLevel( out, iqp ); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel( mtx, iqp ); } else { pmtx = FMF_PtrCurrent( mtx ); } for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < nCol; ic++) { val1 = val2 = 0.0; for (ik = 0; ik < nEP; ik++) { /* output( "%d %d %d %d\n", iqp, ir, ic, ik ); */ val1 += pg1[ik] * pmtx[ic+nCol*ik]; val2 += pg2[ik] * pmtx[ic+nCol*ik]; } pout[dim*nCol*ir+ic+0] = val1; pout[dim*nCol*ir+ic+nCol] = val2; } pmtx += nCol * nEP; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pout = FMF_PtrLevel(out, iqp); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel(mtx, iqp); } else { pmtx = FMF_PtrCurrent(mtx); } for (ir = 0; ir < dim; ir++){ for (ic = 0; ic < nCol; ic++){ val1 = 0.0; for (ik = 0; ik < nEP; ik++){ val1 += pg1[ik] * pmtx[ic + nCol*ik]; } pout[dim*nCol*ir + ic + 0] = val1; } pmtx += nCol * nEP; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "divgrad_act_gt_m" /*! @par Revision history: - 26.10.2005, c */ int32 divgrad_act_gt_m( FMField *out, FMField *gc, FMField *mtx ) { int32 iqp, iep, ii, dim, nEP, nQP, nCol; float64 *pout1, *pout2, *pout3, *pmtx, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; dim = gc->nRow; #ifdef DEBUG_FMF if ((mtx->nRow != (dim * dim)) || (out->nRow != (dim * nEP)) || (out->nCol != mtx->nCol) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol, mtx->nLev, mtx->nRow, mtx->nCol ); } #endif switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pmtx = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pout1 = FMF_PtrLevel( out, iqp ) + nCol * iep; pout2 = pout1 + nCol * nEP; pout3 = pout2 + nCol * nEP; for (ii = 0; ii < nCol; ii++) { pout1[ii] = pg1[iep] * pmtx[0*nCol+ii] + pg2[iep] * pmtx[1*nCol+ii] + pg3[iep] * pmtx[2*nCol+ii]; pout2[ii] = pg1[iep] * pmtx[3*nCol+ii] + pg2[iep] * pmtx[4*nCol+ii] + pg3[iep] * pmtx[5*nCol+ii]; pout3[ii] = pg1[iep] * pmtx[6*nCol+ii] + pg2[iep] * pmtx[7*nCol+ii] + pg3[iep] * pmtx[8*nCol+ii]; } } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pmtx = FMF_PtrLevel( mtx, iqp ); for (iep = 0; iep < nEP; iep++) { pout1 = FMF_PtrLevel( out, iqp ) + nCol * iep; pout2 = pout1 + nCol * nEP; for (ii = 0; ii < nCol; ii++) { pout1[ii] = pg1[iep] * pmtx[0*nCol+ii] + pg2[iep] * pmtx[1*nCol+ii]; pout2[ii] = pg1[iep] * pmtx[2*nCol+ii] + pg2[iep] * pmtx[3*nCol+ii]; } } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pmtx = FMF_PtrLevel(mtx, iqp); for (iep = 0; iep < nEP; iep++){ pout1 = FMF_PtrLevel(out, iqp) + nCol * iep; for (ii = 0; ii < nCol; ii++){ pout1[ii] = pg1[iep] * pmtx[0 * nCol + ii]; } } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "divgrad_act_bg_m" /*! @par Revision history: - 21.03.2006, c */ int32 divgrad_act_bg_m( FMField *out, FMField *gc, FMField *mtx ) { int32 iqp, ir, ic, ik, dim, nEP, nQP, nCol; float64 val1, val2, val3; float64 *pout, *pmtx, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; nCol = mtx->nCol; dim = gc->nRow; #ifdef DEBUG_FMF if ((out->nCol != mtx->nCol) || (out->nRow != (dim * dim)) || (mtx->nRow != (dim * nEP)) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol, mtx->nLev, mtx->nRow, mtx->nCol ); } #endif /* output( "%d %d %d %d\n", nEP, nQP, nCol, dim ); */ switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout = FMF_PtrLevel( out, iqp ); if (mtx->nLev == nQP) { pmtx = FMF_PtrLevel( mtx, iqp ); } else { pmtx = FMF_PtrCurrent( mtx ); } for (ir = 0; ir < dim; ir++) { for (ic = 0; ic < nCol; ic++) { val1 = val2 = val3 = 0.0; for (ik = 0; ik < nEP; ik++) { /* output( "%d %d %d %d\n", iqp, ir, ic, ik ); */ val1 += pg1[ik] * pmtx[ic+nCol*ik]; val2 += pg2[ik] * pmtx[ic+nCol*ik]; val3 += pg3[ik] * pmtx[ic+nCol*ik]; } pout[0*dim*nCol+nCol*ir+ic] = val1; pout[1*dim*nCol+nCol*ir+ic] = val2; pout[2*dim*nCol+nCol*ir+ic] = val3; } pmtx += nCol * nEP; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "convect_build_vtbg" /*! U^T \bar{G} @par Revision history: - 26.10.2005, c */ int32 convect_build_vtbg( FMField *out, FMField *gc, FMField *fv ) { int32 iqp, iep, ii, dim, nEP, nQP; float64 *pout1, *pout2, *pout3, *pfv, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; dim = gc->nRow; #ifdef DEBUG_FMF if ((fv->nRow != dim) || (fv->nCol != 1)|| (out->nRow != dim) || (out->nCol != (dim * nEP)) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol, fv->nLev, fv->nRow, fv->nCol ); } #endif switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + dim * nEP; pout3 = pout2 + dim * nEP; pfv = FMF_PtrLevel( fv, iqp ); for (ii = 0; ii < dim; ii++) { for (iep = 0; iep < nEP; iep++) { pout1[iep] = pg1[iep] * pfv[ii]; pout2[iep] = pg2[iep] * pfv[ii]; pout3[iep] = pg3[iep] * pfv[ii]; } pout1 += nEP; pout2 += nEP; pout3 += nEP; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + dim * nEP; pfv = FMF_PtrLevel( fv, iqp ); for (ii = 0; ii < dim; ii++) { for (iep = 0; iep < nEP; iep++) { pout1[iep] = pg1[iep] * pfv[ii]; pout2[iep] = pg2[iep] * pfv[ii]; } pout1 += nEP; pout2 += nEP; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pout1 = FMF_PtrLevel(out, iqp); pfv = FMF_PtrLevel(fv, iqp); for (ii = 0; ii < dim; ii++){ for (iep = 0; iep < nEP; iep++){ pout1[iep] = pg1[iep] * pfv[ii]; } pout1 += nEP; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "convect_build_vtg" /*! U^T G @par Revision history: - 21.03.2006, c */ int32 convect_build_vtg( FMField *out, FMField *gc, FMField *fv ) { int32 iqp, iep, dim, nEP, nQP; float64 *pout1, *pout2, *pout3, *pfv, *pg1, *pg2, *pg3; nEP = gc->nCol; nQP = gc->nLev; dim = gc->nRow; #ifdef DEBUG_FMF if ((fv->nRow != dim) || (fv->nCol != 1)|| (out->nRow != dim) || (out->nCol != (dim * nEP)) || (out->nLev != gc->nLev)) { errput( ErrHead "ERR_BadMatch: (%d %d %d), (%d %d %d), (%d %d %d)\n", out->nLev, out->nRow, out->nCol, gc->nLev, gc->nRow, gc->nCol, fv->nLev, fv->nRow, fv->nCol ); } #endif switch (dim) { case 3: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pg3 = pg2 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + dim * nEP + nEP; pout3 = pout2 + dim * nEP + nEP; pfv = FMF_PtrLevel( fv, iqp ); for (iep = 0; iep < nEP; iep++) { pout1[iep] = pout2[iep] = pout3[iep] = pg1[iep] * pfv[0] + pg2[iep] * pfv[1] + pg3[iep] * pfv[2]; } } break; case 2: for (iqp = 0; iqp < nQP; iqp++) { pg1 = FMF_PtrLevel( gc, iqp ); pg2 = pg1 + nEP; pout1 = FMF_PtrLevel( out, iqp ); pout2 = pout1 + dim * nEP + nEP; pfv = FMF_PtrLevel( fv, iqp ); for (iep = 0; iep < nEP; iep++) { pout1[iep] = pout2[iep] = pg1[iep] * pfv[0] + pg2[iep] * pfv[1]; } } break; case 1: for (iqp = 0; iqp < nQP; iqp++){ pg1 = FMF_PtrLevel(gc, iqp); pout1 = FMF_PtrLevel(out, iqp); pfv = FMF_PtrLevel(fv, iqp); for (iep = 0; iep < nEP; iep++){ pout1[iep] = pg1[iep] * pfv[0]; } } break; default: errput( ErrHead "ERR_Switch\n" ); return( RET_Fail ); } return( RET_OK ); } #undef __FUNC__ #define __FUNC__ "term_ns_asm_div_grad" /*! @par Revision history: - 25.10.2005, c - 26.10.2005 - 09.12.2005 - 14.12.2005 */ int32 term_ns_asm_div_grad( FMField *out, FMField *grad, FMField *viscosity, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *gtg = 0, *gtgu = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff) { fmf_createAlloc( >g, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( >gu, 1, nQP, dim * nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); if (viscosity->nCell > 1) { FMF_SetCell( viscosity, ii ); } FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (isDiff) { divgrad_build_gtg( gtg, vg->bfGM ); fmf_mul( gtg, viscosity->val ); fmf_sumLevelsMulF( out, gtg, vg->det->val ); } else { FMF_SetCell( grad, ii ); divgrad_act_gt_m( gtgu, vg->bfGM, grad ); fmf_mul( gtgu, viscosity->val ); fmf_sumLevelsMulF( out, gtgu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( >g ); } else { fmf_freeDestroy( >gu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "term_ns_asm_convect" /*! @par Revision history: - 20.12.2005, c - 30.07.2007 */ int32 term_ns_asm_convect( FMField *out, FMField *grad, FMField *state, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *guf = 0, *ftguf = 0, *utg = 0, *ftutg = 0, *gufu = 0; FMField *ftgufu = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff) { fmf_createAlloc( &guf, 1, nQP, dim, dim * nEP ); fmf_createAlloc( &ftguf, 1, nQP, dim * nEP, dim * nEP ); fmf_createAlloc( &utg, 1, nQP, dim, nEP * dim ); fmf_createAlloc( &ftutg, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( &gufu, 1, nQP, dim, 1 ); fmf_createAlloc( &ftgufu, 1, nQP, dim * nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( state, ii ); FMF_SetCell( grad, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCellX1( vg->bf, ii ); if (isDiff) { bf_ract( guf, vg->bf, grad ); bf_actt( ftguf, vg->bf, guf ); convect_build_vtg( utg, vg->bfGM, state ); bf_actt( ftutg, vg->bf, utg ); fmf_addAB_nn( ftguf, ftguf, ftutg ); fmf_sumLevelsMulF( out, ftguf, vg->det->val ); } else { fmf_mulAB_nn( gufu, grad, state ); bf_actt( ftgufu, vg->bf, gufu ); fmf_sumLevelsMulF( out, ftgufu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( &guf ); fmf_freeDestroy( &ftguf ); fmf_freeDestroy( &utg ); fmf_freeDestroy( &ftutg ); } else { fmf_freeDestroy( &gufu ); fmf_freeDestroy( &ftgufu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "term_dw_lin_convect" /*! isDiff == 2 for qp mode. @par Revision history: - 25.07.2007, c - 30.07.2007 */ int32 dw_lin_convect( FMField *out, FMField *grad, FMField *stateB, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *btg = 0, *ftbtg = 0, *gufb = 0, *ftgufb = 0; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; if (isDiff == 1) { fmf_createAlloc( &btg, 1, nQP, dim, nEP * dim ); fmf_createAlloc( &ftbtg, 1, nQP, dim * nEP, dim * nEP ); } else { if (isDiff == 0) { fmf_createAlloc( &gufb, 1, nQP, dim, 1 ); fmf_createAlloc( &ftgufb, 1, nQP, dim * nEP, 1 ); } } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateB, ii ); FMF_SetCell( grad, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCellX1( vg->bf, ii ); if (isDiff == 1) { convect_build_vtg( btg, vg->bfGM, stateB ); bf_actt( ftbtg, vg->bf, btg ); fmf_sumLevelsMulF( out, ftbtg, vg->det->val ); } else { if (isDiff == 0) { fmf_mulAB_nn( gufb, grad, stateB ); bf_actt( ftgufb, vg->bf, gufb ); fmf_sumLevelsMulF( out, ftgufb, vg->det->val ); } else { fmf_mulAB_nn( out, grad, stateB ); } } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &btg ); fmf_freeDestroy( &ftbtg ); fmf_freeDestroy( &gufb ); fmf_freeDestroy( &ftgufb ); return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_div" /*! @par Revision history: - 14.12.2005, c */ int32 dw_div( FMField *out, FMField *coef, FMField *div, Mapping *svg, Mapping *vvg, int32 isDiff ) { int32 ii, nEPP, dim, nQP, nEP, ret = RET_OK; FMField *ftgu = 0, *ftg = 0; FMField gcl[1]; nQP = vvg->bfGM->nLev; nEP = vvg->bfGM->nCol; dim = vvg->bfGM->nRow; nEPP = svg->bf->nCol; gcl->nAlloc = -1; fmf_pretend( gcl, vvg->bfGM->nCell, nQP, 1, nEP * dim, vvg->bfGM->val0 ); if (isDiff == 1) { fmf_createAlloc( &ftg, 1, nQP, nEPP, dim * nEP ); } else { fmf_createAlloc( &ftgu, 1, nQP, nEPP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gcl, ii ); FMF_SetCell( vvg->det, ii ); FMF_SetCellX1( coef, ii ); FMF_SetCellX1( svg->bf, ii ); if (isDiff == 1) { fmf_mulATB_nn( ftg, svg->bf, gcl ); fmf_mulAF( ftg, ftg, coef->val ); fmf_sumLevelsMulF( out, ftg, vvg->det->val ); } else { FMF_SetCell( div, ii ); fmf_mulATB_nn( ftgu, svg->bf, div ); fmf_mulAF( ftgu, ftgu, coef->val ); fmf_sumLevelsMulF( out, ftgu, vvg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( &ftg ); } else { fmf_freeDestroy( &ftgu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_grad" /*! @par Revision history: - c: 15.12.2005, r: 31.03.2008 */ int32 dw_grad( FMField *out, FMField *coef, FMField *state, Mapping *svg, Mapping *vvg, int32 isDiff ) { int32 ii, nEPU, dim, nQP, nEP, ret = RET_OK; FMField *gtfp = 0, *gtf = 0; FMField gcl[1]; nQP = vvg->bfGM->nLev; dim = vvg->bfGM->nRow; nEPU = vvg->bfGM->nCol; nEP = svg->bf->nCol; gcl->nAlloc = -1; fmf_pretend( gcl, vvg->bfGM->nCell, nQP, 1, nEPU * dim, vvg->bfGM->val0 ); if (isDiff == 1) { fmf_createAlloc( >f, 1, nQP, dim * nEPU, nEP ); } else { fmf_createAlloc( >fp, 1, nQP, dim * nEPU, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( gcl, ii ); FMF_SetCell( vvg->det, ii ); FMF_SetCellX1( coef, ii ); if (isDiff == 1) { FMF_SetCellX1( svg->bf, ii ); fmf_mulATB_nn( gtf, gcl, svg->bf ); fmf_mulAF( gtf, gtf, coef->val ); fmf_sumLevelsMulF( out, gtf, vvg->det->val ); } else { FMF_SetCell( state, ii ); fmf_mulATB_nn( gtfp, gcl, state ); fmf_mulAF( gtfp, gtfp, coef->val ); fmf_sumLevelsMulF( out, gtfp, vvg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( >f ); } else { fmf_freeDestroy( >fp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_pspg_c" /*! @par Revision history: - 31.07.2007, c */ int32 dw_st_pspg_c( FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg_p, Mapping *vg_u, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ) { int32 ii, dim, nQP, nEPP, ret = RET_OK; FMField *stu = 0, *btg = 0, *gtbtg = 0, *btgu = 0; FMField *gtbtgu = 0; FMField stuv[1]; nQP = vg_u->bfGM->nLev; dim = vg_u->bfGM->nRow; nEPP = vg_p->bfGM->nCol; stateU->val = FMF_PtrFirst( stateU ); fmf_createAlloc( &btg, 1, nQP, dim, nEP * dim ); if (isDiff == 1) { fmf_createAlloc( >btg, 1, nQP, nEPP, dim * nEP ); } else { fmf_createAlloc( &stu, 1, 1, dim, nEP ); fmf_createAlloc( &btgu, 1, nQP, dim, 1 ); fmf_createAlloc( >btgu, 1, nQP, nEPP, 1 ); stuv->nAlloc = -1; fmf_pretend( stuv, 1, 1, nEP * dim, 1, stu->val ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( stateB, ii ); FMF_SetCell( vg_u->bfGM, ii ); FMF_SetCell( vg_p->bfGM, ii ); FMF_SetCell( vg_u->det, ii ); FMF_SetCell( coef, ii ); convect_build_vtg( btg, vg_u->bfGM, stateB ); if (isDiff == 1) { fmf_mulATB_nn( gtbtg, vg_p->bfGM, btg ); fmf_mul( gtbtg, coef->val ); fmf_sumLevelsMulF( out, gtbtg, vg_u->det->val ); } else { ele_extractNodalValuesDBD( stu, stateU, conn + nEP * ii ); fmf_mulAB_n1( btgu, btg, stuv ); fmf_mulATB_nn( gtbtgu, vg_p->bfGM, btgu ); fmf_mul( gtbtgu, coef->val ); fmf_sumLevelsMulF( out, gtbtgu, vg_u->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &btg ); if (isDiff) { fmf_freeDestroy( >btg ); } else { fmf_freeDestroy( &stu ); fmf_freeDestroy( &btgu ); fmf_freeDestroy( >btgu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_supg_p" /*! @par Revision history: - 31.07.2007, c */ int32 dw_st_supg_p( FMField *out, FMField *stateB, FMField *gradP, FMField *coef, Mapping *vg_u, Mapping *vg_p, int32 isDiff ) { int32 ii, dim, nQP, nEP_u, nEP_p, ret = RET_OK; FMField *btg = 0, *gtbg = 0, *gtbgp = 0; nQP = vg_u->bfGM->nLev; nEP_u = vg_u->bfGM->nCol; dim = vg_u->bfGM->nRow; nEP_p = vg_p->bfGM->nCol; fmf_createAlloc( &btg, 1, nQP, dim, nEP_u * dim ); if (isDiff == 1) { fmf_createAlloc( >bg, 1, nQP, dim * nEP_u, nEP_p ); } else { fmf_createAlloc( >bgp, 1, nQP, dim * nEP_u, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg_u->bfGM, ii ); FMF_SetCell( vg_p->bfGM, ii ); FMF_SetCell( vg_u->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCell( stateB, ii ); convect_build_vtg( btg, vg_u->bfGM, stateB ); if (isDiff == 1) { fmf_mulATB_nn( gtbg, btg, vg_p->bfGM ); fmf_mul( gtbg, coef->val ); fmf_sumLevelsMulF( out, gtbg, vg_u->det->val ); } else { FMF_SetCell( gradP, ii ); fmf_mulATB_nn( gtbgp, btg, gradP ); fmf_mul( gtbgp, coef->val ); fmf_sumLevelsMulF( out, gtbgp, vg_u->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &btg ); if (isDiff) { fmf_freeDestroy( >bg ); } else { fmf_freeDestroy( >bgp ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_supg_c" /*! @par Revision history: - 31.07.2007, c */ int32 dw_st_supg_c( FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ) { int32 ii, dim, nQP, ret = RET_OK; FMField *stu = 0, *btg = 0, *gtbbtg = 0, *btgu = 0, *gtbbtgu = 0; FMField stuv[1]; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; stateU->val = FMF_PtrFirst( stateU ); fmf_createAlloc( &btg, 1, nQP, dim, nEP * dim ); if (isDiff == 1) { fmf_createAlloc( >bbtg, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( &stu, 1, 1, dim, nEP ); fmf_createAlloc( &btgu, 1, nQP, dim, 1 ); fmf_createAlloc( >bbtgu, 1, nQP, dim * nEP, 1 ); stuv->nAlloc = -1; fmf_pretend( stuv, 1, 1, nEP * dim, 1, stu->val ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( coef, ii ); FMF_SetCell( stateB, ii ); convect_build_vtg( btg, vg->bfGM, stateB ); if (isDiff == 1) { fmf_mulATB_nn( gtbbtg, btg, btg ); fmf_mul( gtbbtg, coef->val ); fmf_sumLevelsMulF( out, gtbbtg, vg->det->val ); } else { ele_extractNodalValuesDBD( stu, stateU, conn + nEP * ii ); fmf_mulAB_n1( btgu, btg, stuv ); fmf_mulATB_nn( gtbbtgu, btg, btgu ); fmf_mul( gtbbtgu, coef->val ); fmf_sumLevelsMulF( out, gtbbtgu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &btg ); if (isDiff) { fmf_freeDestroy( >bbtg ); } else { fmf_freeDestroy( &stu ); fmf_freeDestroy( &btgu ); fmf_freeDestroy( >bbtgu ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "dw_st_grad_div" /*! @par Revision history: - 26.07.2007, c */ int32 dw_st_grad_div( FMField *out, FMField *div, FMField *coef, Mapping *vg, int32 isDiff ) { int32 ii, dim, nQP, nEP, ret = RET_OK; FMField *gtgu = 0, *gtg = 0; FMField gcl[1]; nQP = vg->bfGM->nLev; nEP = vg->bfGM->nCol; dim = vg->bfGM->nRow; gcl->nAlloc = -1; fmf_pretend( gcl, vg->bfGM->nCell, nQP, 1, nEP * dim, vg->bfGM->val0 ); if (isDiff == 1) { fmf_createAlloc( >g, 1, nQP, dim * nEP, dim * nEP ); } else { fmf_createAlloc( >gu, 1, nQP, dim * nEP, 1 ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( coef, ii ); FMF_SetCell( gcl, ii ); FMF_SetCell( vg->det, ii ); if (isDiff == 1) { fmf_mulATB_nn( gtg, gcl, gcl ); fmf_mul( gtg, coef->val ); fmf_sumLevelsMulF( out, gtg, vg->det->val ); } else { FMF_SetCell( div, ii ); fmf_mulATB_nn( gtgu, gcl, div ); fmf_mul( gtgu, coef->val ); fmf_sumLevelsMulF( out, gtgu, vg->det->val ); } ERR_CheckGo( ret ); } end_label: if (isDiff) { fmf_freeDestroy( >g ); } else { fmf_freeDestroy( >gu ); } return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_navier_stokes.h000066400000000000000000000034351247364230400246440ustar00rootroot00000000000000/*! @par Revision history: - 26.10.2005, c */ #ifndef _TERMSNAVIERSTOKES_H_ #define _TERMSNAVIERSTOKES_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 divgrad_build_gtg( FMField *out, FMField *gc ); int32 divgrad_act_g_m( FMField *out, FMField *gc, FMField *mtx ); int32 divgrad_act_gt_m( FMField *out, FMField *gc, FMField *mtx ); int32 divgrad_act_bg_m( FMField *out, FMField *gc, FMField *mtx ); int32 convect_build_vtbg( FMField *out, FMField *gc, FMField *fv ); int32 convect_build_vtg( FMField *out, FMField *gc, FMField *fv ); int32 term_ns_asm_div_grad( FMField *out, FMField *grad, FMField *viscosity, Mapping *vg, int32 isDiff ); int32 term_ns_asm_convect( FMField *out, FMField *grad, FMField *state, Mapping *vg, int32 isDiff ); int32 dw_lin_convect( FMField *out, FMField *grad, FMField *stateB, Mapping *vg, int32 isDiff ); int32 dw_div( FMField *out, FMField *coef, FMField *div, Mapping *svg, Mapping *vvg, int32 isDiff ); int32 dw_grad( FMField *out, FMField *coef, FMField *state, Mapping *svg, Mapping *vvg, int32 isDiff ); int32 dw_st_pspg_c( FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg_p, Mapping *vg_u, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ); int32 dw_st_supg_p( FMField *out, FMField *stateB, FMField *gradP, FMField *coef, Mapping *vg_u, Mapping *vg_p, int32 isDiff ); int32 dw_st_supg_c( FMField *out, FMField *stateB, FMField *stateU, FMField *coef, Mapping *vg, int32 *conn, int32 nEl, int32 nEP, int32 isDiff ); int32 dw_st_grad_div( FMField *out, FMField *div, FMField *coef, Mapping *vg, int32 isDiff ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_op.c000066400000000000000000000011141247364230400223710ustar00rootroot00000000000000#include "terms_op.h" #include "terms.h" #undef __FUNC__ #define __FUNC__ "mulATB_integrate" int32 mulATB_integrate(FMField *out, FMField *A, FMField *B, Mapping *vg) { int32 ii, ret = RET_OK; FMField *aux = 0; fmf_createAlloc(&aux, 1, A->nLev, A->nCol, B->nCol); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell(out, ii); FMF_SetCell(vg->det, ii); FMF_SetCell(A, ii); FMF_SetCell(B, ii); fmf_mulATB_nn(aux, A, B); fmf_sumLevelsMulF(out, aux, vg->det->val); ERR_CheckGo(ret); } end_label: fmf_freeDestroy(&aux); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_op.h000066400000000000000000000003571247364230400224060ustar00rootroot00000000000000#ifndef _TERMS_OP_H_ #define _TERMS_OP_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 mulATB_integrate(FMField *out, FMField *A, FMField *B, Mapping *vg); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_piezo.c000066400000000000000000000056501247364230400231120ustar00rootroot00000000000000#include "terms_piezo.h" #include "terms.h" #include "form_sdcc.h" #undef __FUNC__ #define __FUNC__ "dw_piezo_coupling" int32 dw_piezo_coupling( FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg, int32 mode ) { int32 ii, nEPU, nEPP, dim, sym, nQP, ret = RET_OK; FMField *gtgp = 0, *gtgtgp = 0, *ge = 0, *gctge = 0, *gg = 0, *gctgg = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; nEPU = vg->bfGM->nCol; sym = (dim + 1) * dim / 2; if ((mode == 0) || (mode == 1)) { nEPP = out->nCol; } else { nEPP = out->nRow; } if (mode == 0) { fmf_createAlloc( >gp, 1, nQP, sym, 1 ); fmf_createAlloc( >gtgp, 1, nQP, dim * nEPU, 1 ); } else if (mode == 2) { fmf_createAlloc( &ge, 1, nQP, dim, 1 ); fmf_createAlloc( &gctge, 1, nQP, nEPP, 1 ); } else { fmf_createAlloc( &gg, 1, nQP, dim, dim * nEPU ); fmf_createAlloc( &gctgg, 1, nQP, nEPP, dim * nEPU ); } for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxG, ii ); FMF_SetCell( vg->bfGM, ii ); FMF_SetCell( vg->det, ii ); if (mode == 0) { // vector - grad FMF_SetCell( charge_grad, ii ); fmf_mulATB_nn( gtgp, mtxG, charge_grad ); form_sdcc_actOpGT_VS3( gtgtgp, vg->bfGM, gtgp ); fmf_sumLevelsMulF( out, gtgtgp, vg->det->val ); } else if (mode == 2) { // vector - div FMF_SetCell( strain, ii ); fmf_mulAB_nn( ge, mtxG, strain ); fmf_mulATB_nn( gctge, vg->bfGM, ge ); fmf_sumLevelsMulF( out, gctge, vg->det->val ); } else { // matrix - div, grad form_sdcc_actOpG_RM3( gg, mtxG, vg->bfGM ); fmf_mulATB_nn( gctgg, vg->bfGM, gg ); if (mode == 1) { // matrix - grad fmf_sumLevelsTMulF( out, gctgg, vg->det->val ); } else { // matrix - div fmf_sumLevelsMulF( out, gctgg, vg->det->val ); } } ERR_CheckGo( ret ); } end_label: if (mode == 0) { fmf_freeDestroy( >gp ); fmf_freeDestroy( >gtgp ); } else if (mode == 2) { fmf_freeDestroy( &ge ); fmf_freeDestroy( &gctge ); } else { fmf_freeDestroy( &gg ); fmf_freeDestroy( &gctgg ); } return( ret ); } #undef __FUNC__ #define __FUNC__ "d_piezo_coupling" int32 d_piezo_coupling( FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg ) { int32 ii, dim, nQP, ret = RET_OK; FMField *ge = 0, *gptge = 0; nQP = vg->bfGM->nLev; dim = vg->bfGM->nRow; fmf_createAlloc( &ge, 1, nQP, dim, 1 ); fmf_createAlloc( &gptge, 1, nQP, 1, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( mtxG, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCell( strain, ii ); FMF_SetCell( charge_grad, ii ); fmf_mulAB_nn( ge, mtxG, strain ); fmf_mulATB_nn( gptge, charge_grad, ge ); fmf_sumLevelsMulF( out, gptge, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &ge ); fmf_freeDestroy( &gptge ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_piezo.h000066400000000000000000000007011247364230400231070ustar00rootroot00000000000000/*! @par Revision history: - 21.09.2008, c */ #ifndef _TERMSPIEZO_H_ #define _TERMSPIEZO_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_piezo_coupling( FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg, int32 mode ); int32 d_piezo_coupling( FMField *out, FMField *strain, FMField *charge_grad, FMField *mtxG, Mapping *vg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_surface.c000066400000000000000000000053541247364230400234150ustar00rootroot00000000000000#include "terms_surface.h" #include "terms.h" #include "geommech.h" #undef __FUNC__ #define __FUNC__ "dw_surface_ltr" /*! @par Revision history: - 06.09.2006, c - 11.10.2006 */ int32 dw_surface_ltr( FMField *out, FMField *traction, Mapping *sg ) { int32 ii, dim, sym, nQP, nFP, ret = RET_OK; FMField *outQP = 0, *pn = 0, *stn = 0; nFP = sg->bf->nCol; nQP = sg->det->nLev; dim = sg->normal->nRow; sym = (dim + 1) * dim / 2; fmf_createAlloc( &outQP, 1, nQP, dim * nFP, 1 ); if (traction->nRow == 0) { for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); bf_actt( outQP, sg->bf, sg->normal ); fmf_sumLevelsMulF( out, outQP, sg->det->val ); ERR_CheckGo( ret ); } } else if (traction->nRow == 1) { // Pressure. fmf_createAlloc( &pn, 1, nQP, dim, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( traction, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); fmf_mulAB_nn( pn, sg->normal, traction ); bf_actt( outQP, sg->bf, pn ); fmf_sumLevelsMulF( out, outQP, sg->det->val ); ERR_CheckGo( ret ); } } else if (traction->nRow == dim) { // Traction vector. for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( traction, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); bf_actt( outQP, sg->bf, traction ); fmf_sumLevelsMulF( out, outQP, sg->det->val ); ERR_CheckGo( ret ); } } else if (traction->nRow == sym) { // Traction tensor. fmf_createAlloc( &stn, 1, nQP, dim, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( traction, ii ); FMF_SetCell( sg->normal, ii ); FMF_SetCell( sg->det, ii ); FMF_SetCellX1( sg->bf, ii ); geme_mulAVSB3( stn, traction, sg->normal ); bf_actt( outQP, sg->bf, stn ); fmf_sumLevelsMulF( out, outQP, sg->det->val ); ERR_CheckGo( ret ); } } else { errput( ErrHead "ERR_Switch\n" ); } end_label: fmf_freeDestroy( &outQP ); if (traction->nCol == 1) { fmf_freeDestroy( &pn ); } else if (traction->nCol == sym) { fmf_freeDestroy( &stn ); } return( ret ); } /* fmf_print( trac, stdout, 0 ); */ /* fmf_print( tracQP, stdout, 0 ); */ /* fmf_print( pn, stdout, 0 ); */ /* fmf_print( stn, stdout, 0 ); */ /* fmf_print( outQP, stdout, 0 ); */ /* fmf_print( sg->normal, stdout, 0 ); */ /* fmf_print( sg->det, stdout, 0 ); */ /* sys_pause(); */ sfepy-release_2015.1/sfepy/terms/extmods/terms_surface.h000066400000000000000000000004331247364230400234130ustar00rootroot00000000000000/*! @par Revision history: - 06.09.2006, c */ #ifndef _TERMSSURFACE_H_ #define _TERMSSURFACE_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_surface_ltr( FMField *out, FMField *traction, Mapping *sg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/extmods/terms_volume.c000066400000000000000000000014461247364230400232720ustar00rootroot00000000000000#include "terms_volume.h" #include "terms.h" #include "geommech.h" #undef __FUNC__ #define __FUNC__ "dw_volume_lvf" /*! nFEP .. field. @par Revision history: - c: 18.09.2006, r: 12.05.2008 */ int32 dw_volume_lvf( FMField *out, FMField *forceQP, Mapping *vg ) { int32 ii, dim, nQP, nFEP, ret = RET_OK; FMField *outQP = 0; nFEP = vg->bf->nCol; nQP = vg->det->nLev; dim = forceQP->nRow; fmf_createAlloc( &outQP, 1, nQP, dim * nFEP, 1 ); for (ii = 0; ii < out->nCell; ii++) { FMF_SetCell( out, ii ); FMF_SetCell( forceQP, ii ); FMF_SetCell( vg->det, ii ); FMF_SetCellX1( vg->bf, ii ); bf_actt_c1( outQP, vg->bf, forceQP ); fmf_sumLevelsMulF( out, outQP, vg->det->val ); ERR_CheckGo( ret ); } end_label: fmf_freeDestroy( &outQP ); return( ret ); } sfepy-release_2015.1/sfepy/terms/extmods/terms_volume.h000066400000000000000000000004271247364230400232750ustar00rootroot00000000000000/*! @par Revision history: - 18.09.2006, c */ #ifndef _TERMSVOLUME_H_ #define _TERMSVOLUME_H_ #include "common.h" BEGIN_C_DECLS #include "fmfield.h" #include "refmaps.h" int32 dw_volume_lvf( FMField *out, FMField *forceQP, Mapping *vg ); END_C_DECLS #endif /* Header */ sfepy-release_2015.1/sfepy/terms/setup.py000066400000000000000000000007441247364230400204340ustar00rootroot00000000000000#!/usr/bin/env python def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration import os.path as op auto_name = op.split(op.dirname(__file__))[-1] config = Configuration(auto_name, parent_package, top_path) config.add_subpackage('extmods') # config.add_data_dir('tests') return config if __name__ == '__main__': from numpy.distutils.core import setup setup(**configuration(top_path='').todict()) sfepy-release_2015.1/sfepy/terms/terms.py000066400000000000000000001334171247364230400204320ustar00rootroot00000000000000import re from copy import copy import numpy as nm from sfepy.base.base import (as_float_or_complex, get_default, assert_, Container, Struct, basestr, goptions) from sfepy.base.compat import in1d # Used for imports in term files. from sfepy.terms.extmods import terms from sfepy.linalg import split_range _match_args = re.compile('^([^\(\}]*)\((.*)\)$').match _match_virtual = re.compile('^virtual$').match _match_state = re.compile('^state(_[_a-zA-Z0-9]+)?$').match _match_parameter = re.compile('^parameter(_[_a-zA-Z0-9]+)?$').match _match_material = re.compile('^material(_[_a-zA-Z0-9]+)?$').match _match_material_opt = re.compile('^opt_material(_[_a-zA-Z0-9]+)?$').match _match_material_root = re.compile('(.+)\.(.*)').match def get_arg_kinds(arg_types): """ Translate `arg_types` of a Term to a canonical form. Parameters ---------- arg_types : tuple of strings The term argument types, as given in the `arg_types` attribute. Returns ------- arg_kinds : list of strings The argument kinds - one of 'virtual_variable', 'state_variable', 'parameter_variable', 'opt_material', 'user'. """ arg_kinds = [] for ii, arg_type in enumerate(arg_types): if _match_virtual(arg_type): arg_kinds.append('virtual_variable') elif _match_state(arg_type): arg_kinds.append('state_variable') elif _match_parameter(arg_type): arg_kinds.append('parameter_variable') elif _match_material(arg_type): arg_kinds.append('material') elif _match_material_opt(arg_type): arg_kinds.append('opt_material') if ii > 0: msg = 'opt_material at position %d, must be at 0!' % ii raise ValueError(msg) else: arg_kinds.append('user') return arg_kinds def get_shape_kind(integration): """ Get data shape kind for given integration type. """ if integration == 'surface': shape_kind = 'surface' elif integration in ('volume', 'plate', 'surface_extra'): shape_kind = 'volume' elif integration == 'point': shape_kind = 'point' else: raise NotImplementedError('unsupported term integration! (%s)' % integration) return shape_kind def split_complex_args(args): """ Split complex arguments to real and imaginary parts. Returns ------- newargs : dictionary Dictionary with lists corresponding to `args` such that each argument of numpy.complex128 data type is split to its real and imaginary part. The output depends on the number of complex arguments in 'args': - 0: list (key 'r') identical to input one - 1: two lists with keys 'r', 'i' corresponding to real and imaginary parts - 2: output dictionary contains four lists: - 'r' - real(arg1), real(arg2) - 'i' - imag(arg1), imag(arg2) - 'ri' - real(arg1), imag(arg2) - 'ir' - imag(arg1), real(arg2) """ newargs = {} cai = [] for ii, arg in enumerate(args): if isinstance(arg, nm.ndarray) and (arg.dtype == nm.complex128): cai.append(ii) if len(cai) > 0: newargs['r'] = list(args[:]) newargs['i'] = list(args[:]) arg1 = cai[0] newargs['r'][arg1] = args[arg1].real.copy() newargs['i'][arg1] = args[arg1].imag.copy() if len(cai) == 2: arg2 = cai[1] newargs['r'][arg2] = args[arg2].real.copy() newargs['i'][arg2] = args[arg2].imag.copy() newargs['ri'] = list(args[:]) newargs['ir'] = list(args[:]) newargs['ri'][arg1] = newargs['r'][arg1] newargs['ri'][arg2] = newargs['i'][arg2] newargs['ir'][arg1] = newargs['i'][arg1] newargs['ir'][arg2] = newargs['r'][arg2] elif len(cai) > 2: raise NotImplementedError('more than 2 complex arguments! (%d)' % len(cai)) else: newargs['r'] = args[:] return newargs def vector_chunk_generator(total_size, chunk_size, shape_in, zero=False, set_shape=True, dtype=nm.float64): if not chunk_size: chunk_size = total_size shape = list(shape_in) sizes = split_range(total_size, chunk_size) ii = nm.array(0, dtype=nm.int32) for size in sizes: chunk = nm.arange(size, dtype=nm.int32) + ii if set_shape: shape[0] = size if zero: out = nm.zeros(shape, dtype=dtype) else: out = nm.empty(shape, dtype=dtype) yield out, chunk ii += size def create_arg_parser(): from pyparsing import Literal, Word, delimitedList, Group, \ StringStart, StringEnd, Optional, nums, alphas, alphanums inumber = Word("+-" + nums, nums) history = Optional(Literal('[').suppress() + inumber + Literal(']').suppress(), default=0)("history") history.setParseAction(lambda str, loc, toks: int(toks[0])) variable = Group(Word(alphas, alphanums + '._') + history) derivative = Group(Literal('d') + variable\ + Literal('/').suppress() + Literal('dt')) trace = Group(Literal('tr') + Literal('(').suppress() + variable \ + Literal(')').suppress()) generalized_var = derivative | trace | variable args = StringStart() + delimitedList(generalized_var) + StringEnd() return args # 22.01.2006, c class CharacteristicFunction(Struct): def __init__(self, region): self.igs = region.igs self.region = region self.local_chunk = None self.ig = None def __call__(self, chunk_size, shape_in, zero=False, set_shape=True, ret_local_chunk=False, dtype=nm.float64): els = self.region.get_cells(self.ig) for out, chunk in vector_chunk_generator(els.shape[0], chunk_size, shape_in, zero, set_shape, dtype): self.local_chunk = chunk if ret_local_chunk: yield out, chunk else: yield out, els[chunk] self.local_chunk = None def set_current_group(self, ig): self.ig = ig def get_local_chunk(self): return self.local_chunk class ConnInfo(Struct): def get_region(self, can_trace=True): if self.is_trace and can_trace: return self.region.get_mirror_region()[0] else: return self.region def get_region_name(self, can_trace=True): if self.is_trace and can_trace: reg = self.region.get_mirror_region()[0] else: reg = self.region if reg is not None: return reg.name else: return None def iter_igs(self): if self.region is not None: for ig in self.region.igs: if self.virtual_igs is not None: ir = self.virtual_igs.tolist().index(ig) rig = self.virtual_igs[ir] else: rig = None if not self.is_trace: ii = ig else: ig_map_i = self.region.get_mirror_region()[2] ii = ig_map_i[ig] if self.state_igs is not None: ic = self.state_igs.tolist().index(ii) cig = self.state_igs[ic] else: cig = None yield rig, cig else: yield None, None class Terms(Container): @staticmethod def from_desc(term_descs, regions, integrals=None): """ Create terms, assign each term its region. """ from sfepy.terms import term_table terms = Terms() for td in term_descs: try: constructor = term_table[td.name] except: msg = "term '%s' is not in %s" % (td.name, sorted(term_table.keys())) raise ValueError(msg) try: region = regions[td.region] except IndexError: raise KeyError('region "%s" does not exist!' % td.region) term = Term.from_desc(constructor, td, region, integrals=integrals) terms.append(term) return terms def __init__(self, objs=None): Container.__init__(self, objs=objs) self.update_expression() def insert(self, ii, obj): Container.insert(self, ii, obj) self.update_expression() def append(self, obj): Container.append(self, obj) self.update_expression() def update_expression(self): self.expression = [] for term in self: aux = [term.sign, term.name, term.arg_str, term.integral_name, term.region.name] self.expression.append(aux) def __mul__(self, other): out = Terms() for name, term in self.iteritems(): out.append(term * other) return out def __rmul__(self, other): return self * other def __add__(self, other): if isinstance(other, Term): out = self.copy() out.append(other) elif isinstance(other, Terms): out = Terms(self._objs + other._objs) else: raise ValueError('cannot add Terms with %s!' % other) return out def __radd__(self, other): return self + other def __sub__(self, other): if isinstance(other, Term): out = self + (-other) elif isinstance(other, Terms): out = self + (-other) else: raise ValueError('cannot subtract Terms with %s!' % other) return out def __rsub__(self, other): return -self + other def __pos__(self): return self def __neg__(self): return -1.0 * self def setup(self): for term in self: term.setup() def assign_args(self, variables, materials, user=None): """ Assign all term arguments. """ for term in self: term.assign_args(variables, materials, user) def get_variable_names(self): out = [] for term in self: out.extend(term.get_variable_names()) return list(set(out)) def get_material_names(self): out = [] for term in self: out.extend(term.get_material_names()) return list(set(out)) def get_user_names(self): out = [] for term in self: out.extend(term.get_user_names()) return list(set(out)) def set_current_group(self, ig): for term in self: term.char_fun.set_current_group(ig) class Term(Struct): name = '' arg_types = () arg_shapes = {} integration = 'volume' geometries = ['1_2', '2_3', '2_4', '3_4', '3_8'] @staticmethod def new(name, integral, region, **kwargs): from sfepy.terms import term_table arg_str = _match_args(name) if arg_str is not None: name, arg_str = arg_str.groups() else: raise ValueError('bad term syntax! (%s)' % name) if name in term_table: constructor = term_table[name] else: msg = "term '%s' is not in %s" % (name, sorted(term_table.keys())) raise ValueError(msg) obj = constructor(name, arg_str, integral, region, **kwargs) return obj @staticmethod def from_desc(constructor, desc, region, integrals=None): from sfepy.discrete import Integrals if integrals is None: integrals = Integrals() obj = constructor(desc.name, desc.args, None, region) obj.set_integral(integrals.get(desc.integral)) obj.sign = desc.sign return obj def __init__(self, name, arg_str, integral, region, **kwargs): self.name = name self.arg_str = arg_str self.region = region self._kwargs = kwargs self._integration = self.integration self.sign = 1.0 self.set_integral(integral) def __mul__(self, other): try: mul = as_float_or_complex(other) except ValueError: raise ValueError('cannot multiply Term with %s!' % other) out = self.copy(name=self.name) out.sign = mul * self.sign return out def __rmul__(self, other): return self * other def __add__(self, other): if isinstance(other, Term): out = Terms([self, other]) else: out = NotImplemented return out def __sub__(self, other): if isinstance(other, Term): out = Terms([self, -1.0 * other]) else: out = NotImplemented return out def __pos__(self): return self def __neg__(self): out = -1.0 * self return out def set_integral(self, integral): """ Set the term integral. """ self.integral = integral if self.integral is not None: self.integral_name = self.integral.name def setup(self): self.char_fun = CharacteristicFunction(self.region) self.function = Struct.get(self, 'function', None) self.step = 0 self.dt = 1.0 self.is_quasistatic = False self.has_region = True self.setup_formal_args() if self._kwargs: self.setup_args(**self._kwargs) else: self.args = [] def setup_formal_args(self): self.arg_names = [] self.arg_steps = {} self.arg_derivatives = {} self.arg_traces = {} parser = create_arg_parser() self.arg_desc = parser.parseString(self.arg_str) for arg in self.arg_desc: trace = False derivative = None if isinstance(arg[1], int): name, step = arg else: kind = arg[0] name, step = arg[1] if kind == 'd': derivative = arg[2] elif kind == 'tr': trace = True match = _match_material_root(name) if match: name = (match.group(1), match.group(2)) self.arg_names.append(name) self.arg_steps[name] = step self.arg_derivatives[name] = derivative self.arg_traces[name] = trace def setup_args(self, **kwargs): self._kwargs = kwargs self.args = [] for arg_name in self.arg_names: if isinstance(arg_name, basestr): self.args.append(self._kwargs[arg_name]) else: self.args.append((self._kwargs[arg_name[0]], arg_name[1])) self.classify_args() self.check_args() def __call__(self, diff_var=None, chunk_size=None, **kwargs): """ Subclasses either implement __call__ or plug in a proper _call(). """ return self._call(diff_var, chunk_size, **kwargs) def _call(self, diff_var=None, chunk_size=None, **kwargs): msg = 'base class method "_call" called for %s' \ % self.__class__.__name__ raise RuntimeError(msg) def assign_args(self, variables, materials, user=None): """ Check term argument existence in variables, materials, user data and assign the arguments to terms. Also check compatibility of field and term subdomain lists (igs). """ if user is None: user = {} kwargs = {} for arg_name in self.arg_names: if isinstance(arg_name, basestr): if arg_name in variables.names: kwargs[arg_name] = variables[arg_name] elif arg_name in user: kwargs[arg_name] = user[arg_name] else: raise ValueError('argument %s not found!' % arg_name) else: arg_name = arg_name[0] if arg_name in materials.names: kwargs[arg_name] = materials[arg_name] else: raise ValueError('material argument %s not found!' % arg_name) self.setup_args(**kwargs) def classify_args(self): """ Classify types of the term arguments and find matching call signature. A state variable can be in place of a parameter variable and vice versa. """ self.names = Struct(name='arg_names', material=[], variable=[], user=[], state=[], virtual=[], parameter=[]) # Prepare for 'opt_material' - just prepend a None argument if needed. if isinstance(self.arg_types[0], tuple): arg_types = self.arg_types[0] else: arg_types = self.arg_types if len(arg_types) == (len(self.args) + 1): self.args.insert(0, (None, None)) self.arg_names.insert(0, (None, None)) if isinstance(self.arg_types[0], tuple): assert_(len(self.modes) == len(self.arg_types)) # Find matching call signature using variable arguments - material # and user arguments are ignored! matched = [] for it, arg_types in enumerate(self.arg_types): arg_kinds = get_arg_kinds(arg_types) if self._check_variables(arg_kinds): matched.append((it, arg_kinds)) if len(matched) == 1: i_match, arg_kinds = matched[0] arg_types = self.arg_types[i_match] self.mode = self.modes[i_match] elif len(matched) == 0: msg = 'cannot match arguments! (%s)' % self.arg_names raise ValueError(msg) else: msg = 'ambiguous arguments! (%s)' % self.arg_names raise ValueError(msg) else: arg_types = self.arg_types arg_kinds = get_arg_kinds(self.arg_types) self.mode = Struct.get(self, 'mode', None) if not self._check_variables(arg_kinds): raise ValueError('cannot match variables! (%s)' % self.arg_names) # Set actual argument types. self.ats = list(arg_types) for ii, arg_kind in enumerate(arg_kinds): name = self.arg_names[ii] if arg_kind.endswith('variable'): names = self.names.variable if arg_kind == 'virtual_variable': self.names.virtual.append(name) elif arg_kind == 'state_variable': self.names.state.append(name) elif arg_kind == 'parameter_variable': self.names.parameter.append(name) elif arg_kind.endswith('material'): names = self.names.material else: names = self.names.user names.append(name) self.n_virtual = len(self.names.virtual) if self.n_virtual > 1: raise ValueError('at most one virtual variable is allowed! (%d)' % self.n_virtual) self.set_arg_types() self.setup_integration() def _check_variables(self, arg_kinds): for ii, arg_kind in enumerate(arg_kinds): if arg_kind.endswith('variable'): var = self.args[ii] check = {'virtual_variable' : var.is_virtual, 'state_variable' : var.is_state_or_parameter, 'parameter_variable' : var.is_state_or_parameter} if not check[arg_kind](): return False else: return True def set_arg_types(self): pass def check_args(self): """ Common checking to all terms. Check compatibility of field and term subdomain lists (igs). """ vns = self.get_variable_names() for name in vns: field = self._kwargs[name].get_field() if field is None: continue if not nm.all(in1d(self.region.vertices, field.region.vertices)): msg = ('%s: incompatible regions: (self, field %s)' + '(%s in %s)') %\ (self.name, field.name, self.region.vertices, field.region.vertices) raise ValueError(msg) def get_variable_names(self): return self.names.variable def get_material_names(self): out = [] for aux in self.names.material: if aux[0] is not None: out.append(aux[0]) return out def get_user_names(self): return self.names.user def get_virtual_name(self): if not self.names.virtual: return None var = self.get_virtual_variable() return var.name def get_state_names(self): """ If variables are given, return only true unknowns whose data are of the current time step (0). """ variables = self.get_state_variables() return [var.name for var in variables] def get_parameter_names(self): return copy(self.names.parameter) def get_conn_key(self): """The key to be used in DOF connectivity information.""" key = (self.name,) + tuple(self.arg_names) key += (self.integral_name, self.region.name) return key def get_conn_info(self): vvar = self.get_virtual_variable() svars = self.get_state_variables() pvars = self.get_parameter_variables() all_vars = self.get_variables() dc_type = self.get_dof_conn_type() tgs = self.get_geometry_types() v_igs = v_tg = None if vvar is not None: field = vvar.get_field() if field is not None: v_igs = field.igs if vvar.name in tgs: v_tg = tgs[vvar.name] else: v_tg = None else: # No virtual variable -> all unknowns are in fact known parameters. pvars += svars svars = [] region = self.get_region() if region is not None: is_any_trace = reduce(lambda x, y: x or y, self.arg_traces.values()) if is_any_trace: region.setup_mirror_region() self.char_fun.igs = region.igs vals = [] aux_pvars = [] for svar in svars: # Allow only true state variables. if not svar.is_state(): aux_pvars.append(svar) continue field = svar.get_field() if field is not None: s_igs = field.igs else: s_igs = None is_trace = self.arg_traces[svar.name] if svar.name in tgs: ps_tg = tgs[svar.name] else: ps_tg = v_tg val = ConnInfo(virtual=vvar, virtual_igs=v_igs, state=svar, state_igs=s_igs, primary=svar, primary_igs=s_igs, has_virtual=True, has_state=True, is_trace=is_trace, dc_type=dc_type, v_tg=v_tg, ps_tg=ps_tg, region=region, all_vars=all_vars) vals.append(val) pvars += aux_pvars for pvar in pvars: field = pvar.get_field() if field is not None: p_igs = field.igs else: p_igs = None is_trace = self.arg_traces[pvar.name] if pvar.name in tgs: ps_tg = tgs[pvar.name] else: ps_tg = v_tg val = ConnInfo(virtual=vvar, virtual_igs=v_igs, state=None, state_igs=[], primary=pvar.get_primary(), primary_igs=p_igs, has_virtual=vvar is not None, has_state=False, is_trace=is_trace, dc_type=dc_type, v_tg=v_tg, ps_tg=ps_tg, region=region, all_vars=all_vars) vals.append(val) if vvar and (len(vals) == 0): # No state, parameter variables, just the virtual one. val = ConnInfo(virtual=vvar, virtual_igs=v_igs, state=vvar.get_primary(), state_igs=v_igs, primary=vvar.get_primary(), primary_igs=v_igs, has_virtual=True, has_state=False, is_trace=False, dc_type=dc_type, v_tg=v_tg, ps_tg=v_tg, region=region, all_vars=all_vars) vals.append(val) return vals def get_args_by_name(self, arg_names): """ Return arguments by name. """ out = [] for name in arg_names: try: ii = self.arg_names.index(name) except ValueError: raise ValueError('non-existing argument! (%s)' % name) out.append(self.args[ii]) return out def get_args(self, arg_types=None, **kwargs): """ Return arguments by type as specified in arg_types (or self.ats). Arguments in **kwargs can override the ones assigned at the term construction - this is useful for passing user data. """ ats = self.ats if arg_types is None: arg_types = ats args = [] region_name, iorder, ig = self.get_current_group() for at in arg_types: ii = ats.index(at) arg_name = self.arg_names[ii] if isinstance(arg_name, basestr): if arg_name in kwargs: args.append(kwargs[arg_name]) else: args.append(self.args[ii]) else: mat, par_name = self.args[ii] if mat is not None: mat_data = mat.get_data((region_name, iorder), ig, par_name) else: mat_data = None args.append(mat_data) return args def get_kwargs(self, keys, **kwargs): """Extract arguments from **kwargs listed in keys (default is None).""" return [kwargs.get(name) for name in keys] def get_arg_name(self, arg_type, full=False, join=None): """ Get the name of the argument specified by `arg_type.` Parameters ---------- arg_type : str The argument type string. full : bool If True, return the full name. For example, if the name of a variable argument is 'u' and its time derivative is requested, the full name is 'du/dt'. join : str, optional Optionally, the material argument name tuple can be joined to a single string using the `join` string. Returns ------- name : str The argument name. """ try: ii = self.ats.index(arg_type) except ValueError: return None name = self.arg_names[ii] if full: # Include derivatives. if self.arg_derivatives[name]: name = 'd%s/%s' % (name, self.arg_derivatives[name]) if (join is not None) and isinstance(name, tuple): name = join.join(name) return name def setup_integration(self): self.has_geometry = True self.geometry_types = {} if isinstance(self.integration, basestr): for var in self.get_variables(): self.geometry_types[var.name] = self.integration else: if self.mode is not None: self.integration = self._integration[self.mode] if self.integration is not None: for arg_type, gtype in self.integration.iteritems(): var = self.get_args(arg_types=[arg_type])[0] self.geometry_types[var.name] = gtype gtypes = list(set(self.geometry_types.itervalues())) if 'surface_extra' in gtypes: self.dof_conn_type = 'volume' elif len(gtypes): self.dof_conn_type = gtypes[0] def get_region(self): return self.region def get_geometry_types(self): """ Returns ------- out : dict The required geometry types for each variable argument. """ return self.geometry_types def get_current_group(self): return (self.region.name, self.integral.order, self.char_fun.ig) def get_dof_conn_type(self): return Struct(name='dof_conn_info', type=self.dof_conn_type, region_name=self.region.name) def set_current_group(self, ig): self.char_fun.set_current_group(ig) def igs(self): return self.char_fun.igs def get_assembling_cells(self, shape=None): """ Return the assembling cell indices into a DOF connectivity. """ cells = nm.arange(shape[0], dtype=nm.int32) return cells def iter_groups(self): if self.dof_conn_type == 'point': igs = self.igs()[0:1] else: igs = self.igs() for ig in igs: if self.integration in ('volume', 'plate'): if not len(self.region.get_cells(ig)): continue self.set_current_group(ig) yield ig def time_update(self, ts): if ts is not None: self.step = ts.step self.dt = ts.dt self.is_quasistatic = ts.is_quasistatic def advance(self, ts): """ Advance to the next time step. Implemented in subclasses. """ def get_vector(self, variable): """Get the vector stored in `variable` according to self.arg_steps and self.arg_derivatives. Supports only the backward difference w.r.t. time.""" name = variable.name return variable(step=self.arg_steps[name], derivative=self.arg_derivatives[name]) def get_approximation(self, variable, get_saved=False): """ Return approximation corresponding to `variable`. Also return the corresponding geometry (actual or saved, according to `get_saved`). """ geo, _, key = self.get_mapping(variable, get_saved=get_saved, return_key=True) ig = key[2] ap = variable.get_approximation(ig) return ap, geo def get_variables(self, as_list=True): if as_list: variables = self.get_args_by_name(self.names.variable) else: variables = {} for var in self.get_args_by_name(self.names.variable): variables[var.name] = var return variables def get_virtual_variable(self): aux = self.get_args_by_name(self.names.virtual) if len(aux) == 1: var = aux[0] else: var = None return var def get_state_variables(self, unknown_only=False): variables = self.get_args_by_name(self.names.state) if unknown_only: variables = [var for var in variables if (var.kind == 'unknown') and (self.arg_steps[var.name] == 0)] return variables def get_parameter_variables(self): return self.get_args_by_name(self.names.parameter) def get_materials(self, join=False): materials = self.get_args_by_name(self.names.material) for mat in materials: if mat[0] is None: materials.remove(mat) if join: materials = list(set(mat[0] for mat in materials)) return materials def get_qp_key(self): """ Return a key identifying uniquely the term quadrature points. """ return (self.region.name, self.integral.order) def get_physical_qps(self): """ Get physical quadrature points corresponding to the term region and integral. """ from sfepy.discrete.common.mappings import get_physical_qps, PhysicalQPs if self.integration == 'point': phys_qps = PhysicalQPs(self.region.igs) elif self.integration == 'plate': phys_qps = get_physical_qps(self.region, self.integral, map_kind='v') else: phys_qps = get_physical_qps(self.region, self.integral) return phys_qps def get_mapping(self, variable, get_saved=False, return_key=False): """ Get the reference mapping from a variable. Notes ----- This is a convenience wrapper of Field.get_mapping() that initializes the arguments using the term data. """ integration = self.geometry_types[variable.name] is_trace = self.arg_traces[variable.name] if is_trace: region, ig_map, ig_map_i = self.region.get_mirror_region() ig = ig_map_i[self.char_fun.ig] else: region = self.region ig = self.char_fun.ig out = variable.field.get_mapping(ig, region, self.integral, integration, get_saved=get_saved, return_key=return_key) return out def get_data_shape(self, variable): """ Get data shape information from variable. Notes ----- This is a convenience wrapper of FieldVariable.get_data_shape() that initializes the arguments using the term data. """ integration = self.geometry_types[variable.name] is_trace = self.arg_traces[variable.name] if is_trace: region, ig_map, ig_map_i = self.region.get_mirror_region() ig = ig_map_i[self.char_fun.ig] else: region = self.region ig = self.char_fun.ig out = variable.get_data_shape(ig, self.integral, integration, region.name) return out def get(self, variable, quantity_name, bf=None, integration=None, step=None, time_derivative=None): """ Get the named quantity related to the variable. Notes ----- This is a convenience wrapper of Variable.evaluate() that initializes the arguments using the term data. """ name = variable.name step = get_default(step, self.arg_steps[name]) time_derivative = get_default(time_derivative, self.arg_derivatives[name]) integration = get_default(integration, self.geometry_types[name]) data = variable.evaluate(self.char_fun.ig, mode=quantity_name, region=self.region, integral=self.integral, integration=integration, step=step, time_derivative=time_derivative, is_trace=self.arg_traces[name], bf=bf) return data def check_shapes(self, *args, **kwargs): """ Default implementation of function to check term argument shapes at run-time. """ pass def standalone_setup(self): from sfepy.discrete import create_adof_conns, Variables conn_info = {'aux' : self.get_conn_info()} adcs = create_adof_conns(conn_info, None) variables = Variables(self.get_variables()) variables.set_adof_conns(adcs) materials = self.get_materials(join=True) for mat in materials: mat.time_update(None, [Struct(terms=[self])]) def call_get_fargs(self, args, kwargs): try: fargs = self.get_fargs(*args, **kwargs) except RuntimeError: terms.errclear() raise ValueError return fargs def call_function(self, out, fargs): try: status = self.function(out, *fargs) except RuntimeError: terms.errclear() raise ValueError if status: terms.errclear() raise ValueError('term evaluation failed! (%s)' % self.name) return status def eval_real(self, shape, fargs, mode='eval', term_mode=None, diff_var=None, **kwargs): out = nm.empty(shape, dtype=nm.float64) if mode == 'eval': status = self.call_function(out, fargs) # Sum over elements but not over components. out1 = nm.sum(out, 0).squeeze() return out1, status else: status = self.call_function(out, fargs) return out, status def eval_complex(self, shape, fargs, mode='eval', term_mode=None, diff_var=None, **kwargs): rout = nm.empty(shape, dtype=nm.float64) fargsd = split_complex_args(fargs) # Assuming linear forms. Then the matrix is the # same both for real and imaginary part. rstatus = self.call_function(rout, fargsd['r']) if (diff_var is None) and len(fargsd) >= 2: iout = nm.empty(shape, dtype=nm.float64) istatus = self.call_function(iout, fargsd['i']) if mode == 'eval' and len(fargsd) >= 4: irout = nm.empty(shape, dtype=nm.float64) irstatus = self.call_function(irout, fargsd['ir']) riout = nm.empty(shape, dtype=nm.float64) ristatus = self.call_function(riout, fargsd['ri']) out = (rout - iout) + (riout + irout) * 1j status = rstatus or istatus or ristatus or irstatus else: out = rout + 1j * iout status = rstatus or istatus else: out, status = rout, rstatus if mode == 'eval': out1 = nm.sum(out, 0).squeeze() return out1, status else: return out, status def evaluate(self, mode='eval', diff_var=None, standalone=True, ret_status=False, **kwargs): """ Evaluate the term. Parameters ---------- mode : 'eval' (default), or 'weak' The term evaluation mode. Returns ------- val : float or array In 'eval' mode, the term returns a single value (the integral, it does not need to be a scalar), while in 'weak' mode it returns an array for each element. status : int, optional The flag indicating evaluation success (0) or failure (nonzero). Only provided if `ret_status` is True. iels : array of ints, optional The local elements indices in 'weak' mode. Only provided in non-'eval' modes. """ if standalone: self.standalone_setup() kwargs = kwargs.copy() term_mode = kwargs.pop('term_mode', None) if mode == 'eval': val = 0.0 status = 0 for ig in self.iter_groups(): args = self.get_args(**kwargs) self.check_shapes(*args) _args = tuple(args) + (mode, term_mode, diff_var) fargs = self.call_get_fargs(_args, kwargs) shape, dtype = self.get_eval_shape(*_args, **kwargs) if dtype == nm.float64: _v, stat = self.eval_real(shape, fargs, mode, term_mode, **kwargs) elif dtype == nm.complex128: _v, stat = self.eval_complex(shape, fargs, mode, term_mode, **kwargs) else: raise ValueError('unsupported term dtype! (%s)' % dtype) val += _v status += stat val *= self.sign elif mode in ('el_avg', 'el', 'qp'): vals = None iels = nm.empty((0, 2), dtype=nm.int32) status = 0 for ig in self.iter_groups(): args = self.get_args(**kwargs) self.check_shapes(*args) _args = tuple(args) + (mode, term_mode, diff_var) fargs = self.call_get_fargs(_args, kwargs) shape, dtype = self.get_eval_shape(*_args, **kwargs) if dtype == nm.float64: val, stat = self.eval_real(shape, fargs, mode, term_mode, **kwargs) elif dtype == nm.complex128: val, stat = self.eval_complex(shape, fargs, mode, term_mode, **kwargs) if vals is None: vals = val else: vals = nm.r_[vals, val] _iels = self.get_assembling_cells(val.shape) aux = nm.c_[nm.repeat(ig, _iels.shape[0])[:, None], _iels[:, None]] iels = nm.r_[iels, aux] status += stat vals *= self.sign elif mode == 'weak': vals = [] iels = [] status = 0 varr = self.get_virtual_variable() if diff_var is not None: varc = self.get_variables(as_list=False)[diff_var] for ig in self.iter_groups(): args = self.get_args(**kwargs) self.check_shapes(*args) _args = tuple(args) + (mode, term_mode, diff_var) fargs = self.call_get_fargs(_args, kwargs) n_elr, n_qpr, dim, n_enr, n_cr = self.get_data_shape(varr) n_row = n_cr * n_enr if diff_var is None: shape = (n_elr, 1, n_row, 1) else: n_elc, n_qpc, dim, n_enc, n_cc = self.get_data_shape(varc) n_col = n_cc * n_enc shape = (n_elr, 1, n_row, n_col) if varr.dtype == nm.float64: val, stat = self.eval_real(shape, fargs, mode, term_mode, diff_var, **kwargs) elif varr.dtype == nm.complex128: val, stat = self.eval_complex(shape, fargs, mode, term_mode, diff_var, **kwargs) else: raise ValueError('unsupported term dtype! (%s)' % varr.dtype) vals.append(self.sign * val) iels.append((ig, self.get_assembling_cells(val.shape))) status += stat # Setup return value. if mode == 'eval': out = (val,) else: out = (vals, iels) if goptions['check_term_finiteness']: assert_(nm.isfinite(out[0]).all(), msg='%+.2e * %s.%d.%s(%s) term values not finite!' % (self.sign, self.name, self.integral.order, self.region.name, self.arg_str)) if ret_status: out = out + (status,) if len(out) == 1: out = out[0] return out def assemble_to(self, asm_obj, val, iels, mode='vector', diff_var=None): import sfepy.discrete.fem.extmods.assemble as asm vvar = self.get_virtual_variable() dc_type = self.get_dof_conn_type() if mode == 'vector': if asm_obj.dtype == nm.float64: assemble = asm.assemble_vector else: assert_(asm_obj.dtype == nm.complex128) assemble = asm.assemble_vector_complex for ii in range(len(val)): if not(val[ii].dtype == nm.complex128): val[ii] = nm.complex128(val[ii]) for ii, (ig, _iels) in enumerate(iels): vec_in_els = val[ii] dc = vvar.get_dof_conn(dc_type, ig) assert_(vec_in_els.shape[2] == dc.shape[1]) assemble(asm_obj, vec_in_els, _iels, 1.0, dc) elif mode == 'matrix': if asm_obj.dtype == nm.float64: assemble = asm.assemble_matrix else: assert_(asm_obj.dtype == nm.complex128) assemble = asm.assemble_matrix_complex svar = diff_var tmd = (asm_obj.data, asm_obj.indptr, asm_obj.indices) for ii, (ig, _iels) in enumerate(iels): mtx_in_els = val[ii] if ((asm_obj.dtype == nm.complex128) and (mtx_in_els.dtype == nm.float64)): mtx_in_els = mtx_in_els.astype(nm.complex128) rdc = vvar.get_dof_conn(dc_type, ig) is_trace = self.arg_traces[svar.name] cdc = svar.get_dof_conn(dc_type, ig, is_trace=is_trace) assert_(mtx_in_els.shape[2:] == (rdc.shape[1], cdc.shape[1])) sign = 1.0 if self.arg_derivatives[svar.name]: if not self.is_quasistatic or (self.step > 0): sign *= 1.0 / self.dt else: sign = 0.0 assemble(tmd[0], tmd[1], tmd[2], mtx_in_els, _iels, sign, rdc, cdc) else: raise ValueError('unknown assembling mode! (%s)' % mode) sfepy-release_2015.1/sfepy/terms/terms_acoustic.py000066400000000000000000000154171247364230400223230ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms import Term, terms class DiffusionSATerm(Term): r""" Diffusion sensitivity analysis term. :Definition: .. math:: \int_{\Omega} \left[ (\dvg \ul{\Vcal}) K_{ij} \nabla_i q\, \nabla_j p - K_{ij} (\nabla_j \ul{\Vcal} \nabla q) \nabla_i p - K_{ij} \nabla_j q (\nabla_i \ul{\Vcal} \nabla p)\right] :Arguments: - material: :math:`K_{ij}` - parameter_q: :math:`q` - parameter_p: :math:`p` - parameter_v: :math:`\ul{\Vcal}` """ name = 'd_diffusion_sa' arg_types = ('material', 'parameter_q', 'parameter_p', 'parameter_v') arg_shapes = {'material' : 'D, D', 'parameter_q' : 1, 'parameter_p' : 1, 'parameter_v' : 'D'} function = staticmethod(terms.d_diffusion_sa) def get_fargs(self, mat, parameter_q, parameter_p, parameter_v, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter_p) grad_q = self.get(parameter_q, 'grad') grad_p = self.get(parameter_p, 'grad') grad_v = self.get(parameter_v, 'grad') div_v = self.get(parameter_v, 'div') return grad_q, grad_p, grad_v, div_v, mat, vg def get_eval_shape(self, mat, parameter_q, parameter_p, parameter_v, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter_q) return (n_el, 1, 1, 1), parameter_q.dtype class SurfaceLaplaceLayerTerm(Term): r""" Acoustic 'layer' term - derivatives in surface directions. :Definition: .. math:: \int_{\Gamma} c \partial_\alpha \ul{q}\,\partial_\alpha \ul{p}, \alpha = 1,\dots,N-1 :Arguments 1: - material: :math:`c` - virtual: :math:`q` - state: :math:`p` :Arguments 2: - material: :math:`c` - parameter_1: :math:`q` - parameter_2: :math:`p` """ name = 'dw_surface_laplace' arg_types = [('material', 'virtual', 'state'), ('material', 'parameter_2', 'parameter_1')] arg_shapes = {'material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1} geometries = ['2_3', '2_4'] modes = ('weak', 'eval') integration = 'surface' def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(virtual) aps, sgs = self.get_approximation(state) sd = aps.surface_data[self.region.name] bfg = ap.get_base(sd.face_type, 1, self.integral) bfg4 = bfg.reshape((1,) + bfg.shape) elvol = nm.sum(sgs.det, axis=1) vol = nm.tile(elvol[:,nm.newaxis], (1, sgs.det.shape[1], 1, 1)) if mode == 'weak': if diff_var is None: vec = self.get(state, 'val', bf=bfg4) / vol fmode = 0 else: vec = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return vec, mat, bfg, sgs, fmode elif mode == 'eval': vec1 = self.get(state, 'val', bf=bfg4) / vol vec2 = self.get(virtual, 'val', bf=bfg4) / vol return vec1, vec2, mat, sgs def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'weak': self.function = terms.dw_surf_laplace else: self.function = terms.d_surf_laplace class SurfaceCoupleLayerTerm(Term): r""" Acoustic 'layer' term - derivatives in surface directions. :Definition: .. math:: \int_{\Gamma} c q\,\partial_\alpha p, \int_{\Gamma} c \partial_\alpha p\, q, \int_{\Gamma} c \partial_\alpha r\, s,\alpha = 1,\dots,N-1 :Arguments 1: - material: :math:`c` - virtual: :math:`q` - state: :math:`p` :Arguments 2: - material: :math:`c` - virtual: :math:`q` - state: :math:`p` :Arguments 3: - material: :math:`c` - parameter_1: :math:`s` - parameter_2: :math:`r` """ name = 'dw_surface_lcouple' arg_types = (('material', 'virtual', 'state'), ('material', 'state', 'virtual'), ('material', 'parameter_1', 'parameter_2')) arg_shapes = {'material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1} geometries = ['2_3', '2_4'] modes = ('bv_ns', 'nv_bs', 'eval') integration = 'surface' def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'nv_bs': state, virtual = virtual, state ap, sg = self.get_approximation(virtual) aps, sgs = self.get_approximation(state) sd = aps.surface_data[self.region.name] bf = ap.get_base(sd.face_type, 0, self.integral) bfg = ap.get_base(sd.face_type, 1, self.integral) bfg4 = bfg.reshape((1,) + bfg.shape) elvol = nm.sum(sgs.det, axis=1) vol = nm.tile(elvol[:,nm.newaxis], (1, sgs.det.shape[1], 1, 1)) if mode == 'weak': if self.mode == 'nv_bs': bf, bfg = bfg, bf nmat = mat.reshape((mat.shape[0], mat.shape[1], 1, nm.max(mat.shape[2:]))) else: nmat = mat.reshape((mat.shape[0], mat.shape[1], nm.max(mat.shape[2:]), 1)) if diff_var is None: if self.mode == 'nv_bs': vec = self.get(state, 'val', bf=bfg4) / vol else: vec = self.get(state, 'val') fmode = 0 else: vec = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return vec, nmat, bf, bfg, sgs, fmode elif mode == 'eval': vec1 = self.get(state, 'val') vec2 = self.get(virtual, 'val', bf=bfg4) / vol nmat = mat.reshape((mat.shape[0], mat.shape[1], 1, nm.max(mat.shape[2:]))) return vec1, vec2, nmat, sgs def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'bv_ns' or self.mode == 'nv_bs': self.function = terms.dw_surf_lcouple else: self.function = terms.d_surf_lcouple sfepy-release_2015.1/sfepy/terms/terms_adj_navier_stokes.py000066400000000000000000000543121247364230400242000ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms import Term, terms from sfepy.base.base import get_default def grad_as_vector(grad): grad = grad.transpose((0, 1, 3, 2)) sh = grad.shape return grad.reshape((sh[0], sh[1], sh[2] * sh[3], 1)) class AdjDivGradTerm(Term): r""" Gateaux differential of :math:`\Psi(\ul{u}) = \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u}` w.r.t. :math:`\ul{u}` in the direction :math:`\ul{v}` or adjoint term to `dw_div_grad`. :Definition: .. math:: w \delta_{u} \Psi(\ul{u}) \circ \ul{v} :Arguments: - material_1 : :math:`w` (weight) - material_2 : :math:`\nu` (viscosity) - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_adj_div_grad' arg_types = ('material_1', 'material_2', 'virtual', 'parameter') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'virtual' : ('D', None), 'parameter' : 'D'} function = staticmethod(terms.term_ns_asm_div_grad) def get_fargs(self, mat1, mat2, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if diff_var is None: grad = grad_as_vector(self.get(state, 'grad')) fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return grad, mat1 * mat2, vg, fmode class AdjConvect1Term(Term): r""" The first adjoint term to nonlinear convective term `dw_convect`. :Definition: .. math:: \int_{\Omega} ((\ul{v} \cdot \nabla) \ul{u}) \cdot \ul{w} :Arguments: - virtual : :math:`\ul{v}` - state : :math:`\ul{w}` - parameter : :math:`\ul{u}` """ name = 'dw_adj_convect1' arg_types = ('virtual', 'state', 'parameter' ) arg_shapes = {'virtual' : ('D', 'state'), 'state' : 'D', 'parameter' : 'D'} function = staticmethod(terms.dw_adj_convect1) def get_fargs(self, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) val_w = self.get(state, 'val') grad_u = self.get(parameter, 'grad') # No transposition here! fmode = diff_var is not None return val_w, grad_u, vg, fmode class AdjConvect2Term(Term): r""" The second adjoint term to nonlinear convective term `dw_convect`. :Definition: .. math:: \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{v}) \cdot \ul{w} :Arguments: - virtual : :math:`\ul{v}` - state : :math:`\ul{w}` - parameter : :math:`\ul{u}` """ name = 'dw_adj_convect2' arg_types = ('virtual', 'state', 'parameter' ) arg_shapes = {'virtual' : ('D', 'state'), 'state' : 'D', 'parameter' : 'D'} function = staticmethod(terms.dw_adj_convect2) def get_fargs(self, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) val_w = self.get(state, 'val') val_u = self.get(parameter, 'val') fmode = diff_var is not None return val_w, val_u, vg, fmode class SUPGCAdjStabilizationTerm(Term): r""" Adjoint term to SUPG stabilization term `dw_st_supg_c`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ [ ((\ul{v} \cdot \nabla) \ul{u}) ((\ul{u} \cdot \nabla) \ul{w}) + ((\ul{u} \cdot \nabla) \ul{u}) ((\ul{v} \cdot \nabla) \ul{w}) ] :Arguments: - material : :math:`\delta_K` - virtual : :math:`\ul{v}` - state : :math:`\ul{w}` - parameter : :math:`\ul{u}` """ name = 'dw_st_adj_supg_c' arg_types = ('material', 'virtual', 'parameter', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D', 'parameter' : 'D'} function = staticmethod(terms.dw_st_adj_supg_c) def get_fargs(self, mat, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): ap, vg = self.get_approximation(state) val_u = self.get(parameter, 'val') grad_u = self.get(parameter, 'grad').transpose((0, 1, 3, 2)).copy() conn = ap.get_connectivity(self.region, self.integration) fmode = diff_var is not None return state(), val_u, grad_u, mat, vg, conn, fmode class SUPGPAdj1StabilizationTerm(Term): r""" The first adjoint term to SUPG stabilization term `dw_st_supg_p`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ \nabla p (\ul{v} \cdot \nabla \ul{w}) :Arguments: - material : :math:`\delta_K` - virtual : :math:`\ul{v}` - state : :math:`\ul{w}` - parameter : :math:`p` """ name = 'dw_st_adj1_supg_p' arg_types = ('material', 'virtual', 'state', 'parameter') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D', 'parameter' : 1} function = staticmethod(terms.dw_st_adj1_supg_p) def get_fargs(self, mat, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): ap_w, vg_w = self.get_approximation(state) grad_p = self.get(parameter, 'grad') conn_w = ap_w.get_connectivity(self.region, self.integration) fmode = diff_var is not None return state(), grad_p, mat, vg_w, conn_w, fmode class SUPGPAdj2StabilizationTerm(Term): r""" The second adjoint term to SUPG stabilization term `dw_st_supg_p` as well as adjoint term to PSPG stabilization term `dw_st_pspg_c`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ \nabla r (\ul{v} \cdot \nabla \ul{u}) :Arguments: - material : :math:`\tau_K` - virtual : :math:`\ul{v}` - parameter : :math:`\ul{u}` - state : :math:`r` """ name = 'dw_st_adj2_supg_p' arg_types = ('material', 'virtual', 'parameter', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 1, 'parameter' : 'D'} function = staticmethod(terms.dw_st_adj2_supg_p) def get_fargs(self, mat, virtual, parameter, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap_r, vg_r = self.get_approximation(state) vg_u, _ = self.get_mapping(parameter) grad_u = self.get(parameter, 'grad').transpose((0, 1, 3, 2)).copy() conn_r = ap_r.get_connectivity(self.region, self.integration) fmode = diff_var is not None return grad_u, state(), mat, vg_u, vg_r, conn_r, fmode class SDDotVolumeTerm(Term): r""" Sensitivity (shape derivative) of dot product of scalars or vectors. :Definition: .. math:: \int_{\Omega_D} p q (\nabla \cdot \ul{\Vcal}) \mbox{ , } \int_{\Omega_D} (\ul{u} \cdot \ul{w}) (\nabla \cdot \ul{\Vcal}) :Arguments: - parameter_1 : :math:`p` or :math:`\ul{u}` - parameter_2 : :math:`q` or :math:`\ul{w}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_volume_dot' arg_types = ('parameter_1', 'parameter_2', 'parameter_mesh_velocity') arg_shapes = {'parameter_1' : 'D', 'parameter_2' : 'D', 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_volume_dot) def get_fargs(self, par1, par2, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par1) val1 = self.get(par1, 'val') val2 = self.get(par2, 'val') div_mv = self.get(par_mv, 'div') return val1, val2, div_mv, vg, get_default(term_mode, 1) def get_eval_shape(self, par1, par2, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par1) return (n_el, 1, 1, 1), par1.dtype class SDDivTerm(Term): r""" Sensitivity (shape derivative) of Stokes term `dw_stokes` in 'div' mode. Supports the following term modes: 1 (sensitivity) or 0 (original term value). :Definition: .. math:: \int_{\Omega_D} p [ (\nabla \cdot \ul{w}) (\nabla \cdot \ul{\Vcal}) - \pdiff{\Vcal_k}{x_i} \pdiff{w_i}{x_k} ] :Arguments: - parameter_u : :math:`\ul{u}` - parameter_p : :math:`p` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_div' arg_types = ('parameter_u', 'parameter_p', 'parameter_mesh_velocity') arg_shapes = {'parameter_u' : 'D', 'parameter_p' : 1, 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_div) def get_fargs(self, par_u, par_p, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) div_u = self.get(par_u, 'div') grad_u = grad_as_vector(self.get(par_u, 'grad')) val_p = self.get(par_p, 'val') div_mv = self.get(par_mv, 'div') grad_mv = grad_as_vector(self.get(par_mv, 'grad')) return (div_u, grad_u, val_p, div_mv, grad_mv, vg, get_default(term_mode, 1)) def get_eval_shape(self, par_u, par_p, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class SDDivGradTerm(Term): r""" Sensitivity (shape derivative) of diffusion term `dw_div_grad`. Supports the following term modes: 1 (sensitivity) or 0 (original term value). :Definition: .. math:: w \nu \int_{\Omega_D} [ \pdiff{u_i}{x_k} \pdiff{w_i}{x_k} (\nabla \cdot \ul{\Vcal}) - \pdiff{\Vcal_j}{x_k} \pdiff{u_i}{x_j} \pdiff{w_i}{x_k} - \pdiff{u_i}{x_k} \pdiff{\Vcal_l}{x_k} \pdiff{w_i}{x_k} ] :Arguments: - material_1 : :math:`w` (weight) - material_2 : :math:`\nu` (viscosity) - parameter_u : :math:`\ul{u}` - parameter_w : :math:`\ul{w}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_div_grad' arg_types = ('material_1', 'material_2', 'parameter_u', 'parameter_w', 'parameter_mesh_velocity') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'parameter_u' : 'D', 'parameter_w' : 'D', 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_div_grad) def get_fargs(self, mat1, mat2, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) grad_u = grad_as_vector(self.get(par_u, 'grad')) grad_w = grad_as_vector(self.get(par_w, 'grad')) div_mv = self.get(par_mv, 'div') grad_mv = grad_as_vector(self.get(par_mv, 'grad')) return (grad_u, grad_w, div_mv, grad_mv, mat1 * mat2, vg, get_default(term_mode, 1)) def get_eval_shape(self, mat1, mat2, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class SDConvectTerm(Term): r""" Sensitivity (shape derivative) of convective term `dw_convect`. Supports the following term modes: 1 (sensitivity) or 0 (original term value). :Definition: .. math:: \int_{\Omega_D} [ u_k \pdiff{u_i}{x_k} w_i (\nabla \cdot \Vcal) - u_k \pdiff{\Vcal_j}{x_k} \pdiff{u_i}{x_j} w_i ] :Arguments: - parameter_u : :math:`\ul{u}` - parameter_w : :math:`\ul{w}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_convect' arg_types = ('parameter_u', 'parameter_w', 'parameter_mesh_velocity') arg_shapes = {'parameter_u' : 'D', 'parameter_w' : 'D', 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_convect) def get_fargs(self, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) val_u = self.get(par_u, 'val') grad_u = grad_as_vector(self.get(par_u, 'grad')) val_w = self.get(par_w, 'val') div_mv = self.get(par_mv, 'div') grad_mv = grad_as_vector(self.get(par_mv, 'grad')) return (val_u, grad_u, val_w, div_mv, grad_mv, vg, get_default(term_mode, 1)) def get_eval_shape(self, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class NSOFMinGradTerm(Term): name = 'd_of_ns_min_grad' arg_types = ('material_1', 'material_2', 'parameter') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'parameter' : 1} function = staticmethod(terms.d_of_nsMinGrad) def get_fargs(self, weight, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) grad = grad_as_vector(self.get(parameter, 'grad')) return grad, weight * mat, vg def get_eval_shape(self, weight, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): return (1, 1, 1, 1), parameter.dtype class NSOFSurfMinDPressTerm(Term): r""" Sensitivity of :math:`\Psi(p)`. :Definition: .. math:: \delta \Psi(p) = \delta \left( \int_{\Gamma_{in}}p - \int_{\Gamma_{out}}bpress \right) :Arguments: - material_1 : :math:`w` (weight) - material_2 : :math:`bpress` (given pressure) - parameter : :math:`p` """ name = 'd_of_ns_surf_min_d_press' arg_types = ('material_1', 'material_2', 'parameter') arg_shapes = {'material_1' : 1, 'material_2' : 1, 'parameter' : 1} integration = 'surface' function = staticmethod(terms.d_of_nsSurfMinDPress) def get_fargs(self, weight, bpress, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(parameter) val_p = self.get(parameter, 'val') return val_p, weight, bpress, sg, 0 def get_eval_shape(self, weight, bpress, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): return (1, 1, 1, 1), parameter.dtype class NSOFSurfMinDPressDiffTerm(NSOFSurfMinDPressTerm): r""" Gateaux differential of :math:`\Psi(p)` w.r.t. :math:`p` in the direction :math:`q`. :Definition: .. math:: w \delta_{p} \Psi(p) \circ q :Arguments: - material : :math:`w` (weight) - virtual : :math:`q` """ name = 'dw_of_ns_surf_min_d_press_diff' arg_types = ('material', 'virtual') arg_shapes = {'material' : 1, 'virtual' : (1, None)} def get_fargs(self, weight, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) aux = nm.array([0], ndmin=4, dtype=nm.float64) return aux, weight, 0.0, sg, 1 class SDGradDivStabilizationTerm(Term): r""" Sensitivity (shape derivative) of stabilization term `dw_st_grad_div`. :Definition: .. math:: \gamma \int_{\Omega_D} [ (\nabla \cdot \ul{u}) (\nabla \cdot \ul{w}) (\nabla \cdot \ul{\Vcal}) - \pdiff{u_i}{x_k} \pdiff{\Vcal_k}{x_i} (\nabla \cdot \ul{w}) - (\nabla \cdot \ul{u}) \pdiff{w_i}{x_k} \pdiff{\Vcal_k}{x_i} ] :Arguments: - material : :math:`\gamma` - parameter_u : :math:`\ul{u}` - parameter_w : :math:`\ul{w}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` - mode : 1 (sensitivity) or 0 (original term value) """ name = 'd_sd_st_grad_div' arg_types = ('material', 'parameter_u', 'parameter_w', 'parameter_mesh_velocity') arg_shapes = {'material' : '1, 1', 'parameter_u' : 'D', 'parameter_w' : 'D', 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_st_grad_div) def get_fargs(self, mat, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) div_u = self.get(par_u, 'div') grad_u = grad_as_vector(self.get(par_u, 'grad')) div_w = self.get(par_w, 'div') grad_w = grad_as_vector(self.get(par_w, 'grad')) div_mv = self.get(par_mv, 'div') grad_mv = grad_as_vector(self.get(par_mv, 'grad')) return (div_u, grad_u, div_w, grad_w, div_mv, grad_mv, mat, vg, get_default(term_mode, 1)) def get_eval_shape(self, mat, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class SDSUPGCStabilizationTerm(Term): r""" Sensitivity (shape derivative) of stabilization term `dw_st_supg_c`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ [ (\ul{b} \cdot \nabla u_k) (\ul{b} \cdot \nabla w_k) (\nabla \cdot \Vcal) - (\ul{b} \cdot \nabla \Vcal_i) \pdiff{u_k}{x_i} (\ul{b} \cdot \nabla w_k) - (\ul{u} \cdot \nabla u_k) (\ul{b} \cdot \nabla \Vcal_i) \pdiff{w_k}{x_i} ] :Arguments: - material : :math:`\delta_K` - parameter_b : :math:`\ul{b}` - parameter_u : :math:`\ul{u}` - parameter_w : :math:`\ul{w}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` - mode : 1 (sensitivity) or 0 (original term value) """ name = 'd_sd_st_supg_c' arg_types = ('material', 'parameter_b', 'parameter_u', 'parameter_w', 'parameter_mesh_velocity') arg_shapes = {'material' : '1, 1', 'parameter_b' : 'D', 'parameter_u' : 'D', 'parameter_w' : 'D', 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_st_supg_c) def get_fargs(self, mat, par_b, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) val_b = self.get(par_b, 'val') grad_u = self.get(par_u, 'grad').transpose((0, 1, 3, 2)).copy() grad_w = self.get(par_w, 'grad').transpose((0, 1, 3, 2)).copy() div_mv = self.get(par_mv, 'div') grad_mv = self.get(par_mv, 'grad').transpose((0, 1, 3, 2)).copy() return (val_b, grad_u, grad_w, div_mv, grad_mv, mat, vg, get_default(term_mode, 1)) def get_eval_shape(self, mat, par_b, par_u, par_w, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class SDPSPGCStabilizationTerm(Term): r""" Sensitivity (shape derivative) of stabilization terms `dw_st_supg_p` or `dw_st_pspg_c`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ [ \pdiff{r}{x_i} (\ul{b} \cdot \nabla u_i) (\nabla \cdot \Vcal) - \pdiff{r}{x_k} \pdiff{\Vcal_k}{x_i} (\ul{b} \cdot \nabla u_i) - \pdiff{r}{x_k} (\ul{b} \cdot \nabla \Vcal_k) \pdiff{u_i}{x_k} ] :Arguments: - material : :math:`\delta_K` - parameter_b : :math:`\ul{b}` - parameter_u : :math:`\ul{u}` - parameter_r : :math:`r` - parameter_mesh_velocity : :math:`\ul{\Vcal}` - mode : 1 (sensitivity) or 0 (original term value) """ name = 'd_sd_st_pspg_c' arg_types = ('material', 'parameter_b', 'parameter_u', 'parameter_r', 'parameter_mesh_velocity') arg_shapes = {'material' : '1, 1', 'parameter_b' : 'D', 'parameter_u' : 'D', 'parameter_r' : 1, 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_st_pspg_c) def get_fargs(self, mat, par_b, par_u, par_r, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) val_b = self.get(par_b, 'val') grad_u = self.get(par_u, 'grad').transpose((0, 1, 3, 2)).copy() grad_r = self.get(par_r, 'grad') div_mv = self.get(par_mv, 'div') grad_mv = self.get(par_mv, 'grad').transpose((0, 1, 3, 2)).copy() return (val_b, grad_u, grad_r, div_mv, grad_mv, mat, vg, get_default(term_mode, 1)) def get_eval_shape(self, mat, par_b, par_u, par_r, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class SDPSPGPStabilizationTerm(Term): r""" Sensitivity (shape derivative) of stabilization term `dw_st_pspg_p`. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ [ (\nabla r \cdot \nabla p) (\nabla \cdot \Vcal) - \pdiff{r}{x_k} (\nabla \Vcal_k \cdot \nabla p) - (\nabla r \cdot \nabla \Vcal_k) \pdiff{p}{x_k} ] :Arguments: - material : :math:`\tau_K` - parameter_r : :math:`r` - parameter_p : :math:`p` - parameter_mesh_velocity : :math:`\ul{\Vcal}` - mode : 1 (sensitivity) or 0 (original term value) """ name = 'd_sd_st_pspg_p' arg_types = ('material', 'parameter_r', 'parameter_p', 'parameter_mesh_velocity') arg_shapes = {'material' : '1, 1', 'parameter_r' : 1, 'parameter_p' : 1, 'parameter_mesh_velocity' : 'D'} function = staticmethod(terms.d_sd_st_pspg_p) def get_fargs(self, mat, par_r, par_p, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_p) grad_r = self.get(par_r, 'grad') grad_p = self.get(par_p, 'grad') div_mv = self.get(par_mv, 'div') grad_mv = self.get(par_mv, 'grad').transpose((0, 1, 3, 2)).copy() return (grad_r, grad_p, div_mv, grad_mv, mat, vg, get_default(term_mode, 1)) def get_eval_shape(self, mat, par_r, par_p, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_p) return (n_el, 1, 1, 1), par_p.dtype sfepy-release_2015.1/sfepy/terms/terms_basic.py000066400000000000000000000311001247364230400215550ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.linalg import dot_sequences from sfepy.terms.terms import Term, terms class IntegrateVolumeTerm(Term): r""" Evaluate (weighted) variable in a volume region. Depending on evaluation mode, integrate a variable over a volume region ('eval'), average it in elements ('el_avg') or interpolate it into volume quadrature points ('qp'). Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_\Omega y \mbox{ , } \int_\Omega \ul{y} \\ \int_\Omega c y \mbox{ , } \int_\Omega c \ul{y} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} y / \int_{T_K} 1 \mbox{ , } \int_{T_K} \ul{y} / \int_{T_K} 1 \\ \mbox{vector for } K \from \Ical_h: \int_{T_K} c y / \int_{T_K} 1 \mbox{ , } \int_{T_K} c \ul{y} / \int_{T_K} 1 .. math:: y|_{qp} \mbox{ , } \ul{y}|_{qp} \\ c y|_{qp} \mbox{ , } c \ul{y}|_{qp} :Arguments: - material : :math:`c` (optional) - parameter : :math:`y` or :math:`\ul{y}` """ name = 'ev_volume_integrate' arg_types = ('opt_material', 'parameter') arg_shapes = [{'opt_material' : '1, 1', 'parameter' : 1}, {'opt_material' : None}, {'opt_material' : '1, 1', 'parameter' : 'D'}, {'opt_material' : None}] @staticmethod def function(out, val_qp, vg, fmode): if fmode == 2: out[:] = val_qp status = 0 else: status = vg.integrate(out, val_qp, fmode) return status def get_fargs(self, material, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) val_qp = self.get(parameter, 'val') if material is not None: val_qp *= material fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return val_qp, vg, fmode def get_eval_shape(self, material, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, n_c, 1), parameter.dtype class IntegrateSurfaceTerm(Term): r""" Evaluate (weighted) variable in a surface region. Depending on evaluation mode, integrate a variable over a surface region ('eval'), average it in element faces ('el_avg') or interpolate it into surface quadrature points ('qp'). For vector variables, setting `term_mode` to `'flux'` leads to computing corresponding fluxes for the three modes instead. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_\Gamma y \mbox{ , } \int_\Gamma \ul{y} \mbox{ , } \int_\Gamma \ul{y} \cdot \ul{n} \\ \int_\Gamma c y \mbox{ , } \int_\Gamma c \ul{y} \mbox{ , } \int_\Gamma c \ul{y} \cdot \ul{n} \mbox{ flux } .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} y / \int_{T_K} 1 \mbox{ , } \int_{T_K} \ul{y} / \int_{T_K} 1 \mbox{ , } \int_{T_K} (\ul{y} \cdot \ul{n}) / \int_{T_K} 1 \\ \mbox{vector for } K \from \Ical_h: \int_{T_K} c y / \int_{T_K} 1 \mbox{ , } \int_{T_K} c \ul{y} / \int_{T_K} 1 \mbox{ , } \int_{T_K} (c \ul{y} \cdot \ul{n}) / \int_{T_K} 1 .. math:: y|_{qp} \mbox{ , } \ul{y}|_{qp} \mbox{ , } (\ul{y} \cdot \ul{n})|_{qp} \mbox{ flux } \\ c y|_{qp} \mbox{ , } c \ul{y}|_{qp} \mbox{ , } (c \ul{y} \cdot \ul{n})|_{qp} \mbox{ flux } :Arguments: - material : :math:`c` (optional) - parameter : :math:`y` or :math:`\ul{y}` """ name = 'ev_surface_integrate' arg_types = ('opt_material', 'parameter') arg_shapes = [{'opt_material' : '1, 1', 'parameter' : 1}, {'opt_material' : None}, {'opt_material' : '1, 1', 'parameter' : 'D'}, {'opt_material' : None}] integration = 'surface' @staticmethod def function(out, val_qp, sg, fmode): if fmode == 2: out[:] = val_qp status = 0 elif fmode == 5: normal = sg.normal out[:] = dot_sequences(val_qp, normal) status = 0 else: status = sg.integrate(out, val_qp, fmode) return status def get_fargs(self, material, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(parameter) val_qp = self.get(parameter, 'val') if material is not None: val_qp *= material fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) if term_mode == 'flux': n_fa, n_qp, dim, n_fn, n_c = self.get_data_shape(parameter) if n_c == dim: fmode += 3 return val_qp, sg, fmode def get_eval_shape(self, material, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_fa, n_qp, dim, n_fn, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 if term_mode == 'flux': n_c = 1 return (n_fa, n_qp, n_c, 1), parameter.dtype class IntegrateVolumeOperatorTerm(Term): r""" Volume integral of a test function weighted by a scalar function :math:`c`. :Definition: .. math:: \int_\Omega q \mbox{ or } \int_\Omega c q :Arguments: - material : :math:`c` (optional) - virtual : :math:`q` """ name = 'dw_volume_integrate' arg_types = ('opt_material', 'virtual') arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, None)}, {'opt_material' : None}] @staticmethod def function(out, material, bf, geo): bf_t = nm.tile(bf.transpose((0, 1, 3, 2)), (out.shape[0], 1, 1, 1)) bf_t = nm.ascontiguousarray(bf_t) if material is not None: status = geo.integrate(out, material * bf_t) else: status = geo.integrate(out, bf_t) return status def get_fargs(self, material, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): assert_(virtual.n_components == 1) geo, _ = self.get_mapping(virtual) return material, geo.bf, geo class IntegrateSurfaceOperatorTerm(IntegrateVolumeOperatorTerm): r""" Surface integral of a test function weighted by a scalar function :math:`c`. :Definition: .. math:: \int_{\Gamma} q \mbox{ or } \int_\Gamma c q :Arguments: - material : :math:`c` (optional) - virtual : :math:`q` """ name = 'dw_surface_integrate' arg_types = ('opt_material', 'virtual') arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, None)}, {'opt_material' : None}] integration = 'surface' class VolumeTerm(Term): r""" Volume of a domain. Uses approximation of the parameter variable. :Definition: .. math:: \int_\Omega 1 :Arguments: - parameter : any variable """ name = 'd_volume' arg_types = ('parameter',) arg_shapes = {'parameter' : 1} @staticmethod def function(out, geo): out[:] = geo.volume return 0 def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): geo, _ = self.get_mapping(parameter) return geo, def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_cell, n_qp, dim, n_n, n_c = self.get_data_shape(parameter) return (n_cell, 1, 1, 1), parameter.dtype class SurfaceTerm(VolumeTerm): r""" Surface of a domain. Uses approximation of the parameter variable. :Definition: .. math:: \int_\Gamma 1 :Arguments: - parameter : any variable """ name = 'd_surface' arg_types = ('parameter',) arg_shapes = {'parameter' : 1} integration = 'surface' class VolumeSurfaceTerm(Term): r""" Volume of a :math:`D`-dimensional domain, using a surface integral. Uses approximation of the parameter variable. :Definition: .. math:: 1 / D \int_\Gamma \ul{x} \cdot \ul{n} :Arguments: - parameter : any variable """ name = 'd_volume_surface' arg_types = ('parameter',) arg_shapes = {'parameter' : 1} integration = 'surface' function = staticmethod(terms.d_volume_surface) def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(parameter) sd = ap.surface_data[self.region.name] coor = parameter.field.get_coor() return coor, sg, sd.econn.copy() def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_fa, n_qp, dim, n_fn, n_c = self.get_data_shape(parameter) return (n_fa, 1, 1, 1), parameter.dtype class SurfaceMomentTerm(Term): r""" Surface integral of the outer product of the unit outward normal :math:`\ul{n}` and the coordinate :math:`\ul{x}` shifted by :math:`\ul{x}_0` :Definition: .. math:: \int_{\Gamma} \ul{n} (\ul{x} - \ul{x}_0) :Arguments: - parameter : any variable - shift : :math:`\ul{x}_0` """ name = 'di_surface_moment' arg_types = ('parameter', 'shift') integration = 'surface' function = staticmethod(terms.di_surface_moment) def get_fargs(self, parameter, shift, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(parameter) sd = ap.surface_data[self.region.name] coor = parameter.field.get_coor() \ - nm.asarray(shift, dtype=nm.float64)[None,:] return coor, sg, sd.econn.copy() def get_eval_shape(self, parameter, shift, mode=None, term_mode=None, diff_var=None, **kwargs): n_fa, n_qp, dim, n_fn, n_c = self.get_data_shape(parameter) return (n_fa, 1, dim, dim), parameter.dtype class IntegrateMatTerm(Term): r""" Evaluate material parameter :math:`m` in a volume/surface region. Depending on evaluation mode, integrate a material parameter over a volume/surface region ('eval'), average it in elements/faces ('el_avg') or interpolate it into volume/surface quadrature points ('qp'). Uses reference mapping of :math:`y` variable. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_\Omega m .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} m / \int_{T_K} 1 .. math:: m|_{qp} :Arguments: - material : :math:`m` (can have up to two dimensions) - parameter : :math:`y` """ name = 'ev_integrate_mat' arg_types = ('material', 'parameter') arg_shapes = [{'material' : '1, 1', 'parameter' : 1}, {'material' : 'D, D'}, {'material' : 'S, S'}, {'material' : 'D, S'}] @staticmethod def function(out, mat, geo, fmode): if fmode == 2: out[:] = mat status = 0 else: status = geo.integrate(out, mat, fmode) return status def get_fargs(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): geo, _ = self.get_mapping(parameter) fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return mat, geo, fmode def get_eval_shape(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) n_row, n_col = mat.shape[-2:] if mode != 'qp': n_qp = 1 return (n_el, n_qp, n_row, n_col), mat.dtype class SumNodalValuesTerm(Term): r""" Sum nodal values. :Arguments: - parameter : :math:`p` or :math:`\ul{u}` """ name = 'd_sum_vals' arg_types = ('parameter',) arg_shapes = [{'parameter' : 1}, {'parameter' : 'D'}] @staticmethod def function(out, vec): out[:] = nm.sum(vec, 0) return 0 def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vec = parameter.get_state_in_region(self.region) return vec, def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) return (n_el, n_c), parameter.dtype sfepy-release_2015.1/sfepy/terms/terms_biot.py000066400000000000000000000213501247364230400214370ustar00rootroot00000000000000import numpy as nm from sfepy.linalg import dot_sequences from sfepy.terms.terms import Term, terms from sfepy.terms.terms_th import THTerm, ETHTerm from sfepy.terms.terms_elastic import CauchyStressTerm class BiotTerm(Term): r""" Biot coupling term with :math:`\alpha_{ij}` given in vector form exploiting symmetry: in 3D it has the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has the indices ordered as :math:`[11, 22, 12]`. Corresponds to weak forms of Biot gradient and divergence terms. Can be evaluated. Can use derivatives. :Definition: .. math:: \int_{\Omega} p\ \alpha_{ij} e_{ij}(\ul{v}) \mbox{ , } \int_{\Omega} q\ \alpha_{ij} e_{ij}(\ul{u}) :Arguments 1: - material : :math:`\alpha_{ij}` - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - material : :math:`\alpha_{ij}` - state : :math:`\ul{u}` - virtual : :math:`q` :Arguments 3: - material : :math:`\alpha_{ij}` - parameter_v : :math:`\ul{u}` - parameter_s : :math:`p` """ name = 'dw_biot' arg_types = (('material', 'virtual', 'state'), ('material', 'state', 'virtual'), ('material', 'parameter_v', 'parameter_s')) arg_shapes = {'material' : 'S, 1', 'virtual/grad' : ('D', None), 'state/grad' : 1, 'virtual/div' : (1, None), 'state/div' : 'D', 'parameter_v' : 'D', 'parameter_s' : 1} modes = ('grad', 'div', 'eval') def get_fargs(self, mat, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var, qp_name = svar, 'val' else: qp_var, qp_name = vvar, 'cauchy_strain' if mode == 'weak': vvg, _ = self.get_mapping(vvar) svg, _ = self.get_mapping(svar) if diff_var is None: val_qp = self.get(qp_var, qp_name) fmode = 0 else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return 1.0, val_qp, mat, svg, vvg, fmode elif mode == 'eval': vvg, _ = self.get_mapping(vvar) strain = self.get(vvar, 'cauchy_strain') pval = self.get(svar, 'val') return 1.0, pval, strain, mat, vvg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) return (n_el, 1, 1, 1), vvar.dtype def set_arg_types(self): self.function = { 'grad' : terms.dw_biot_grad, 'div' : terms.dw_biot_div, 'eval' : terms.d_biot_div, }[self.mode] class BiotStressTerm(CauchyStressTerm): r""" Evaluate Biot stress tensor. It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: - \int_{\Omega} \alpha_{ij} \bar{p} .. math:: \mbox{vector for } K \from \Ical_h: - \int_{T_K} \alpha_{ij} \bar{p} / \int_{T_K} 1 .. math:: - \alpha_{ij} \bar{p}|_{qp} :Arguments: - material : :math:`\alpha_{ij}` - parameter : :math:`\bar{p}` """ name = 'ev_biot_stress' arg_types = ('material', 'parameter') arg_shapes = {'material' : 'S, 1', 'parameter' : 1} @staticmethod def function(out, val_qp, mat, vg, fmode): if fmode == 2: out[:] = dot_sequences(mat, val_qp) status = 0 else: status = terms.de_cauchy_stress(out, val_qp, mat, vg, fmode) out *= -1.0 return status def get_fargs(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) val_qp = self.get(parameter, 'val') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return val_qp, mat, vg, fmode class BiotTHTerm(BiotTerm, THTerm): r""" Fading memory Biot term. Can use derivatives. :Definition: .. math:: \begin{array}{l} \int_{\Omega} \left [\int_0^t \alpha_{ij}(t-\tau)\,p(\tau)) \difd{\tau} \right]\,e_{ij}(\ul{v}) \mbox{ ,} \\ \int_{\Omega} \left [\int_0^t \alpha_{ij}(t-\tau) e_{kl}(\ul{u}(\tau)) \difd{\tau} \right] q \end{array} :Arguments 1: - ts : :class:`TimeStepper` instance - material : :math:`\alpha_{ij}(\tau)` - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - ts : :class:`TimeStepper` instance - material : :math:`\alpha_{ij}(\tau)` - state : :math:`\ul{u}` - virtual : :math:`q` """ name = 'dw_biot_th' arg_types = (('ts', 'material', 'virtual', 'state'), ('ts', 'material', 'state', 'virtual')) arg_shapes = {} modes = ('grad', 'div') def get_fargs(self, ts, mats, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var, qp_name = svar, 'val' else: qp_var, qp_name = vvar, 'cauchy_strain' n_el, n_qp, dim, n_en, n_c = self.get_data_shape(svar) if mode == 'weak': vvg, _ = self.get_mapping(vvar) svg, _ = self.get_mapping(svar) if diff_var is None: def iter_kernel(): for ii, mat in enumerate(mats): val_qp = self.get(qp_var, qp_name, step=-ii) mat = nm.tile(mat, (n_el, n_qp, 1, 1)) yield ii, (ts.dt, val_qp, mat, svg, vvg, 0) fargs = iter_kernel else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) mat = nm.tile(mats[0], (n_el, n_qp, 1, 1)) fargs = ts.dt, val_qp, mat, svg, vvg, 1 return fargs else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) class BiotETHTerm(BiotTerm, ETHTerm): r""" This term has the same definition as dw_biot_th, but assumes an exponential approximation of the convolution kernel resulting in much higher efficiency. Can use derivatives. :Definition: .. math:: \begin{array}{l} \int_{\Omega} \left [\int_0^t \alpha_{ij}(t-\tau)\,p(\tau)) \difd{\tau} \right]\,e_{ij}(\ul{v}) \mbox{ ,} \\ \int_{\Omega} \left [\int_0^t \alpha_{ij}(t-\tau) e_{kl}(\ul{u}(\tau)) \difd{\tau} \right] q \end{array} :Arguments 1: - ts : :class:`TimeStepper` instance - material_0 : :math:`\alpha_{ij}(0)` - material_1 : :math:`\exp(-\lambda \Delta t)` (decay at :math:`t_1`) - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - ts : :class:`TimeStepper` instance - material_0 : :math:`\alpha_{ij}(0)` - material_1 : :math:`\exp(-\lambda \Delta t)` (decay at :math:`t_1`) - state : :math:`\ul{u}` - virtual : :math:`q` """ name = 'dw_biot_eth' arg_types = (('ts', 'material_0', 'material_1', 'virtual', 'state'), ('ts', 'material_0', 'material_1', 'state', 'virtual')) arg_shapes = {} modes = ('grad', 'div') def get_fargs(self, ts, mat0, mat1, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var, qp_name, iv = svar, 'val', 4 else: qp_var, qp_name, iv = vvar, 'cauchy_strain', 3 if mode == 'weak': vvg, _, key = self.get_mapping(vvar, return_key=True) svg, _ = self.get_mapping(svar) if diff_var is None: val_qp = self.get(qp_var, qp_name) key += tuple(self.arg_names[ii] for ii in [1, 2, iv]) data = self.get_eth_data(key, qp_var, mat1, val_qp) val = data.history + data.values fargs = (ts.dt, val, mat0, svg, vvg, 0) else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fargs = (ts.dt, val_qp, mat0, svg, vvg, 1) return fargs else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) sfepy-release_2015.1/sfepy/terms/terms_constraints.py000066400000000000000000000062101247364230400230470ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms import Term from sfepy.linalg import dot_sequences class NonPenetrationTerm(Term): r""" Non-penetration condition in the weak sense. :Definition: .. math:: \int_{\Gamma} c \lambda \ul{n} \cdot \ul{v} \mbox{ , } \int_{\Gamma} c \hat\lambda \ul{n} \cdot \ul{u} \\ \int_{\Gamma} \lambda \ul{n} \cdot \ul{v} \mbox{ , } \int_{\Gamma} \hat\lambda \ul{n} \cdot \ul{u} :Arguments 1: - material : :math:`c` (optional) - virtual : :math:`\ul{v}` - state : :math:`\lambda` :Arguments 2: - material : :math:`c` (optional) - state : :math:`\ul{u}` - virtual : :math:`\hat\lambda` """ name = 'dw_non_penetration' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'state', 'virtual')) arg_shapes = [{'opt_material' : '1, 1', 'virtual/grad' : ('D', None), 'state/grad' : 1, 'virtual/div' : (1, None), 'state/div' : 'D'}, {'opt_material' : None}] modes = ('grad', 'div') integration = 'surface' @staticmethod def function(out, val_qp, ebf, bf, mat, sg, diff_var, mode): """ `ebf` belongs to vector variable, `bf` to scalar variable. """ normals = sg.normal n_fa = out.shape[0] if diff_var is None: if mode == 'grad': ebf_t = nm.tile(ebf.transpose((0, 1, 3, 2)), (n_fa, 1, 1, 1)) nl = normals * val_qp eftnl = mat * dot_sequences(ebf_t, nl) status = sg.integrate(out, eftnl, 0) else: bf_t = nm.tile(bf.transpose((0, 1, 3, 2)), (n_fa, 1, 1, 1)) ntu = (normals * val_qp).sum(axis=-2)[...,None] ftntu = mat * (bf_t * ntu) status = sg.integrate(out, ftntu, 0) else: ebf_t = nm.tile(ebf.transpose((0, 1, 3, 2)), (n_fa, 1, 1, 1)) bf_ = nm.tile(bf, (n_fa, 1, 1, 1)) eftn = mat * dot_sequences(ebf_t, normals) eftnf = eftn * bf_ if mode == 'grad': status = sg.integrate(out, eftnf, 0) else: ftntef = nm.ascontiguousarray(eftnf.transpose((0, 1, 3, 2))) status = sg.integrate(out, ftntef, 0) return status def get_fargs(self, mat, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var = svar else: qp_var = vvar val_qp = self.get(qp_var, 'val') vsg, _ = self.get_mapping(vvar) ssg, _ = self.get_mapping(svar) n_fa, n_qp, dim, n_fn, n_c = self.get_data_shape(vvar) if mat is None: mat = nm.ones((1, n_qp, 1, 1), dtype=nm.float64) # Expand base corresponding to \ul{u} for all dofs. bf = vsg.bf ebf = nm.zeros(bf.shape[:2] + (dim, n_fn * dim), dtype=nm.float64) for ir in xrange(dim): ebf[..., ir, ir*n_fn:(ir+1)*n_fn] = bf[..., 0, :] return val_qp, ebf, ssg.bf, mat, vsg, diff_var, self.mode sfepy-release_2015.1/sfepy/terms/terms_diffusion.py000066400000000000000000000303541247364230400224740ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.linalg import dot_sequences from sfepy.terms.terms import Term, terms class DiffusionTerm(Term): r""" General diffusion term with permeability :math:`K_{ij}`. Can be evaluated. Can use derivatives. :Definition: .. math:: \int_{\Omega} K_{ij} \nabla_i q \nabla_j p \mbox{ , } \int_{\Omega} K_{ij} \nabla_i \bar{p} \nabla_j r :Arguments 1: - material : :math:`K_{ij}` - virtual : :math:`q` - state : :math:`p` :Arguments 2: - material : :math:`K_{ij}` - parameter_1 : :math:`\bar{p}` - parameter_2 : :math:`r` """ name = 'dw_diffusion' arg_types = (('material', 'virtual', 'state'), ('material', 'parameter_1', 'parameter_2')) arg_shapes = {'material' : 'D, D', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1} modes = ('weak', 'eval') symbolic = {'expression': 'div( K * grad( u ) )', 'map' : {'u' : 'state', 'K' : 'material'}} def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if mat is None: if self.name in ('dw_laplace', 'dw_st_pspg_p'): n_el, n_qp, _, _, _ = self.get_data_shape(state) mat = nm.ones((1, n_qp, 1, 1), dtype=nm.float64) if mode == 'weak': if diff_var is None: grad = self.get(state, 'grad') fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return grad, mat, vg, fmode elif mode == 'eval': grad1 = self.get(virtual, 'grad') grad2 = self.get(state, 'grad') return grad1, grad2, mat, vg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'weak': self.function = terms.dw_diffusion else: self.function = terms.d_diffusion class LaplaceTerm(DiffusionTerm): r""" Laplace term with :math:`c` coefficient. Can be evaluated. Can use derivatives. :Definition: .. math:: \int_{\Omega} c \nabla q \cdot \nabla p \mbox{ , } \int_{\Omega} c \nabla \bar{p} \cdot \nabla r :Arguments 1: - material : :math:`c` - virtual : :math:`q` - state : :math:`p` :Arguments 2: - material : :math:`c` - parameter_1 : :math:`\bar{p}` - parameter_2 : :math:`r` """ name = 'dw_laplace' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'parameter_1', 'parameter_2')) arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1}, {'opt_material' : None}] modes = ('weak', 'eval') symbolic = {'expression': 'c * div( grad( u ) )', 'map' : {'u' : 'state', 'c' : 'opt_material'}} def set_arg_types(self): if self.mode == 'weak': self.function = terms.dw_laplace else: self.function = terms.d_laplace class DiffusionRTerm(Term): r""" Diffusion-like term with material parameter :math:`K_{j}` (to use on the right-hand side). :Definition: .. math:: \int_{\Omega} K_{j} \nabla_j q :Arguments: - material : :math:`K_j` - virtual : :math:`q` """ name = 'dw_diffusion_r' arg_types = ('material', 'virtual') arg_shapes = {'material' : 'D, 1', 'virtual' : (1, None)} function = staticmethod(terms.dw_diffusion_r) def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) return mat, vg class DiffusionCoupling(Term): r""" Diffusion copupling term with material parameter :math:`K_{j}`. :Definition: .. math:: \int_{\Omega} p K_{j} \nabla_j q :Arguments: - material : :math:`K_{j}` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_diffusion_coupling' arg_types = (('material', 'virtual', 'state'), ('material', 'state', 'virtual'), ('material', 'parameter_1', 'parameter_2')) arg_shapes = {'material' : 'D, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1} modes = ('weak0', 'weak1', 'eval') @staticmethod def d_fun(out, mat, val, grad, vg): out_qp = val * dot_sequences(mat, grad, 'ATB') status = vg.integrate(out, out_qp) return status @staticmethod def dw_fun(out, val, mat, bf, vg, fmode): if fmode == 0: status = terms.mulATB_integrate(out, vg.bfg, mat * val, vg) elif fmode == 1: status = terms.mulATB_integrate(out, bf * mat, val, vg) elif fmode == 2: status = terms.mulATB_integrate(out, vg.bfg, mat * bf, vg) elif fmode == 3: status = terms.mulATB_integrate(out, mat * bf, vg.bfg, vg) return status def get_fargs( self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap, vg = self.get_approximation(virtual) if mode == 'weak': aps, vgs = self.get_approximation(state) bf = aps.get_base('v', 0, self.integral) if diff_var is None: if self.mode == 'weak0': val = self.get(state, 'val') fmode = 0 else: val = self.get(virtual, 'grad') fmode = 1 else: val = nm.array([0], ndmin=4, dtype=nm.float64) if self.mode == 'weak0': fmode = 2 else: fmode = 3 return val, mat, bf, vg, fmode elif mode == 'eval': grad = self.get(virtual, 'grad') val = self.get(state, 'val') return mat, val, grad, vg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types( self ): if self.mode[:-1] == 'weak': self.function = self.dw_fun else: self.function = self.d_fun class DiffusionVelocityTerm( Term ): r""" Evaluate diffusion velocity. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: - \int_{\Omega} K_{ij} \nabla_j \bar{p} .. math:: \mbox{vector for } K \from \Ical_h: - \int_{T_K} K_{ij} \nabla_j \bar{p} / \int_{T_K} 1 .. math:: - K_{ij} \nabla_j \bar{p} :Arguments: - material : :math:`K_{ij}` - parameter : :math:`\bar{p}` """ name = 'ev_diffusion_velocity' arg_types = ('material', 'parameter') arg_shapes = {'material' : 'D, D', 'parameter' : 1} @staticmethod def function(out, grad, mat, vg, fmode): dvel = dot_sequences(mat, grad) if fmode == 2: out[:] = dvel status = 0 else: status = vg.integrate(out, dvel, fmode) out *= -1.0 return status def get_fargs(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) grad = self.get(parameter, 'grad') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return grad, mat, vg, fmode def get_eval_shape(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, dim, 1), parameter.dtype class SurfaceFluxTerm(Term): r""" Surface flux term. Supports 'eval', 'el_avg' and 'el' evaluation modes. :Definition: .. math:: \int_{\Gamma} \ul{n} \cdot K_{ij} \nabla_j \bar{p} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \ul{n} \cdot K_{ij} \nabla_j \bar{p}\ / \int_{T_K} 1 .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \ul{n} \cdot K_{ij} \nabla_j \bar{p} :Arguments: - material: :math:`\ul{K}` - parameter: :math:`\bar{p}`, """ name = 'd_surface_flux' arg_types = ('material', 'parameter') arg_shapes = {'material' : 'D, D', 'parameter' : 1} integration = 'surface_extra' function = staticmethod(terms.d_surface_flux) def get_fargs(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(parameter) grad = self.get(parameter, 'grad') fmode = {'eval' : 0, 'el_avg' : 1, 'el' : 0}.get(mode, 0) return grad, mat, sg, fmode def get_eval_shape(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_fa, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) return (n_fa, 1, 1, 1), parameter.dtype class SurfaceFluxOperatorTerm(Term): r""" Surface flux operator term. :Definition: .. math:: \int_{\Gamma} q \ul{n} \cdot \ull{K} \cdot \nabla p :Arguments: - material : :math:`\ull{K}` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_surface_flux' arg_types = ('opt_material', 'virtual', 'state') arg_shapes = [{'opt_material' : 'D, D', 'virtual' : (1, 'state'), 'state' : 1}, {'opt_material' : None}] integration = 'surface_extra' function = terms.dw_surface_flux def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(state) sd = ap.surface_data[self.region.name] bf = ap.get_base(sd.bkey, 0, self.integral) if mat is None: _, n_qp, dim, _, _ = self.get_data_shape(state) mat = nm.empty((1, n_qp, dim, dim), dtype=nm.float64) mat[..., :, :] = nm.eye(dim, dtype=nm.float64) if diff_var is None: grad = self.get(state, 'grad', integration='surface_extra') fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return grad, mat, bf, sg, sd.fis, fmode class ConvectVGradSTerm(Term): r""" Scalar gradient term with convective velocity. :Definition: .. math:: \int_{\Omega} q (\ul{u} \cdot \nabla p) :Arguments: - virtual : :math:`q` - state_v : :math:`\ul{u}` - state_s : :math:`p` """ name = 'dw_convect_v_grad_s' arg_types = ('virtual', 'state_v', 'state_s') arg_shapes = [{'virtual' : (1, 'state_s'), 'state_v' : 'D', 'state_s' : 1}] function = terms.dw_convect_v_grad_s def get_fargs(self, virtual, state_v, state_s, mode=None, term_mode=None, diff_var=None, **kwargs): vvg, _ = self.get_mapping(state_v) svg, _ = self.get_mapping(state_s) if diff_var is None: grad_s = self.get(state_s, 'grad') val_v = self.get(state_v, 'val') fmode = 0 elif diff_var == state_s.name: grad_s = nm.array([0], ndmin=4, dtype=nm.float64) val_v = self.get(state_v, 'val') fmode = 1 else: assert_(diff_var == state_v.name) grad_s = self.get(state_s, 'grad') val_v = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 2 return val_v, grad_s, vvg, svg, fmode sfepy-release_2015.1/sfepy/terms/terms_dot.py000066400000000000000000000373071247364230400213010ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.linalg import dot_sequences from sfepy.terms.terms import Term, terms from sfepy.terms.terms_th import THTerm, ETHTerm class DotProductVolumeTerm(Term): r""" Volume :math:`L^2(\Omega)` weighted dot product for both scalar and vector fields. Can be evaluated. Can use derivatives. :Definition: .. math:: \int_\Omega q p \mbox{ , } \int_\Omega \ul{v} \cdot \ul{u} \mbox{ , } \int_\Omega p r \mbox{ , } \int_\Omega \ul{u} \cdot \ul{w} \\ \int_\Omega c q p \mbox{ , } \int_\Omega c \ul{v} \cdot \ul{u} \mbox{ , } \int_\Omega c p r \mbox{ , } \int_\Omega c \ul{u} \cdot \ul{w} \\ \int_\Omega \ul{v} \cdot \ull{M} \cdot \ul{u} \mbox{ , } \int_\Omega \ul{u} \cdot \ull{M} \cdot \ul{w} :Arguments 1: - material : :math:`c` or :math:`\ull{M}` (optional) - virtual : :math:`q` or :math:`\ul{v}` - state : :math:`p` or :math:`\ul{u}` :Arguments 2: - material : :math:`c` or :math:`\ull{M}` (optional) - parameter_1 : :math:`p` or :math:`\ul{u}` - parameter_2 : :math:`r` or :math:`\ul{w}` """ name = 'dw_volume_dot' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'parameter_1', 'parameter_2')) arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_1' : 1, 'parameter_2' : 1}, {'opt_material' : None}, {'opt_material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D', 'parameter_1' : 'D', 'parameter_2' : 'D'}, {'opt_material' : 'D, D'}, {'opt_material' : None}] modes = ('weak', 'eval') @staticmethod def dw_dot(out, mat, val_qp, vgeo, sgeo, fun, fmode): status = fun(out, mat, val_qp, vgeo, sgeo, fmode) return status @staticmethod def d_dot(out, mat, val1_qp, val2_qp, geo): if mat is None: if val1_qp.shape[2] > 1: if val2_qp.shape[2] == 1: aux = dot_sequences(val1_qp, geo.normal, mode='ATB') vec = dot_sequences(aux, val2_qp, mode='AB') else: vec = dot_sequences(val1_qp, val2_qp, mode='ATB') else: vec = val1_qp * val2_qp elif mat.shape[-1] == 1: if val1_qp.shape[2] > 1: vec = mat * dot_sequences(val1_qp, val2_qp, mode='ATB') else: vec = mat * val1_qp * val2_qp else: aux = dot_sequences(mat, val2_qp, mode='AB') vec = dot_sequences(val1_qp, aux, mode='ATB') status = geo.integrate(out, vec) return status def check_shapes(self, mat, virtual, state): is_vector_scalar = ((virtual.n_components == 1) and (state.n_components == state.dim))\ or ((virtual.n_components == virtual.dim) and (state.n_components == 1)) assert_((virtual.n_components == state.n_components) or is_vector_scalar) if mat is not None: n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) assert_((mat.shape[1:] == (n_qp, 1, 1)) or ((mat.shape[1:] == (n_qp, dim, dim)) and (n_c == dim))) assert_((mat.shape[0] == 1) or (mat.shape[0] == n_el)) def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vgeo, _ = self.get_mapping(virtual) if mode == 'weak': if mat is None: n_cell, n_qp, dim, n_n, n_c = self.get_data_shape(state) mat = nm.ones((n_cell, n_qp, 1, 1), dtype=nm.float64) sgeo, _ = self.get_mapping(state) if diff_var is None: val_qp = self.get(state, 'val') fmode = 0 else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 if state.n_components > 1: if ((self.integration == 'volume') or (virtual.n_components > 1)): fun = terms.dw_volume_dot_vector else: fun = terms.dw_surface_s_v_dot_n else: if ((self.integration == 'volume') or (virtual.n_components == 1)): fun = terms.dw_volume_dot_scalar else: fun = terms.dw_surface_v_dot_n_s return mat, val_qp, vgeo, sgeo, fun, fmode elif mode == 'eval': val1_qp = self.get(virtual, 'val') val2_qp = self.get(state, 'val') return mat, val1_qp, val2_qp, vgeo else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_cell, n_qp, dim, n_n, n_c = self.get_data_shape(state) return (n_cell, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'weak': self.function = self.dw_dot else: self.function = self.d_dot class DotProductSurfaceTerm(DotProductVolumeTerm): r""" Surface :math:`L^2(\Gamma)` dot product for both scalar and vector fields. :Definition: .. math:: \int_\Gamma q p \mbox{ , } \int_\Gamma \ul{v} \cdot \ul{u} \mbox{ , } \int_\Gamma \ul{v} \cdot \ul{n} p \mbox{ , } \int_\Gamma q \ul{n} \cdot \ul{u} \mbox{ , } \int_\Gamma p r \mbox{ , } \int_\Gamma \ul{u} \cdot \ul{w} \mbox{ , } \int_\Gamma \ul{w} \cdot \ul{n} p \\ \int_\Gamma c q p \mbox{ , } \int_\Gamma c \ul{v} \cdot \ul{u} \mbox{ , } \int_\Gamma c p r \mbox{ , } \int_\Gamma c \ul{u} \cdot \ul{w} \\ \int_\Gamma \ul{v} \cdot \ull{M} \cdot \ul{u} \mbox{ , } \int_\Gamma \ul{u} \cdot \ull{M} \cdot \ul{w} :Arguments 1: - material : :math:`c` or :math:`\ull{M}` (optional) - virtual : :math:`q` or :math:`\ul{v}` - state : :math:`p` or :math:`\ul{u}` :Arguments 2: - material : :math:`c` or :math:`\ull{M}` (optional) - parameter_1 : :math:`p` or :math:`\ul{u}` - parameter_2 : :math:`r` or :math:`\ul{w}` """ name = 'dw_surface_dot' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'parameter_1', 'parameter_2')) modes = ('weak', 'eval') integration = 'surface' class BCNewtonTerm(DotProductSurfaceTerm): r""" Newton boundary condition term. :Definition: .. math:: \int_{\Gamma} \alpha q (p - p_{\rm outer}) :Arguments: - material_1 : :math:`\alpha` - material_2 : :math:`p_{\rm outer}` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_bc_newton' arg_types = ('material_1', 'material_2', 'virtual', 'state') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1} mode = 'weak' def check_shapes(self, alpha, p_outer, virtual, state): pass def get_fargs(self, alpha, p_outer, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): fargs = DotProductSurfaceTerm.get_fargs(self, alpha, virtual, state, mode, term_mode, diff_var, **kwargs) fargs = fargs[:1] + (fargs[1] - p_outer,) + fargs[2:] return fargs class DotSProductVolumeOperatorWTHTerm(THTerm): r""" Fading memory volume :math:`L^2(\Omega)` weighted dot product for scalar fields. Can use derivatives. :Definition: .. math:: \int_\Omega \left [\int_0^t \Gcal(t-\tau) p(\tau) \difd{\tau} \right] q :Arguments: - ts : :class:`TimeStepper` instance - material : :math:`\Gcal(\tau)` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_volume_dot_w_scalar_th' arg_types = ('ts', 'material', 'virtual', 'state') function = staticmethod(terms.dw_volume_dot_scalar) def get_fargs(self, ts, mats, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) if diff_var is None: def iter_kernel(): for ii, mat in enumerate(mats): val_qp = self.get(state, 'val', step=-ii) mat = nm.tile(mat, (n_el, n_qp, 1, 1)) yield ii, (ts.dt * mat, val_qp, vg, vg, 0) fargs = iter_kernel else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) mat = nm.tile(mats[0], (n_el, n_qp, 1, 1)) fargs = ts.dt * mat, val_qp, vg, vg, 1 return fargs class DotSProductVolumeOperatorWETHTerm(ETHTerm): r""" Fading memory volume :math:`L^2(\Omega)` weighted dot product for scalar fields. This term has the same definition as dw_volume_dot_w_scalar_th, but assumes an exponential approximation of the convolution kernel resulting in much higher efficiency. Can use derivatives. :Definition: .. math:: \int_\Omega \left [\int_0^t \Gcal(t-\tau) p(\tau) \difd{\tau} \right] q :Arguments: - ts : :class:`TimeStepper` instance - material_0 : :math:`\Gcal(0)` - material_1 : :math:`\exp(-\lambda \Delta t)` (decay at :math:`t_1`) - virtual : :math:`q` - state : :math:`p` """ name = 'dw_volume_dot_w_scalar_eth' arg_types = ('ts', 'material_0', 'material_1', 'virtual', 'state') function = staticmethod(terms.dw_volume_dot_scalar) def get_fargs(self, ts, mat0, mat1, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _, key = self.get_mapping(state, return_key=True) if diff_var is None: val_qp = self.get(state, 'val') key += tuple(self.arg_names[ii] for ii in [1, 2, 4]) data = self.get_eth_data(key, state, mat1, val_qp) fargs = (ts.dt * mat0, data.history + data.values, vg, vg, 0) else: aux = nm.array([0], ndmin=4, dtype=nm.float64) fargs = ts.dt * mat0, aux, vg, vg, 1 return fargs class VectorDotGradScalarTerm(Term): r""" Volume dot product of a vector and a gradient of scalar. Can be evaluated. :Definition: .. math:: \int_{\Omega} \ul{v} \cdot \nabla p \mbox{ , } \int_{\Omega} \ul{u} \cdot \nabla q \\ \int_{\Omega} c \ul{v} \cdot \nabla p \mbox{ , } \int_{\Omega} c \ul{u} \cdot \nabla q \\ \int_{\Omega} \ul{v} \cdot \ull{M} \cdot \nabla p \mbox{ , } \int_{\Omega} \ul{u} \cdot \ull{M} \cdot \nabla q :Arguments 1: - material : :math:`c` or :math:`\ull{M}` (optional) - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - material : :math:`c` or :math:`\ull{M}` (optional) - state : :math:`\ul{u}` - virtual : :math:`q` :Arguments 3: - material : :math:`c` or :math:`\ull{M}` (optional) - parameter_v : :math:`\ul{u}` - parameter_s : :math:`p` """ name = 'dw_v_dot_grad_s' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'state', 'virtual'), ('opt_material', 'parameter_v', 'parameter_s')) arg_shapes = [{'opt_material' : '1, 1', 'virtual/v_weak' : ('D', None), 'state/v_weak' : 1, 'virtual/s_weak' : (1, None), 'state/s_weak' : 'D', 'parameter_v' : 'D', 'parameter_s' : 1}, {'opt_material' : 'D, D'}, {'opt_material' : None}] modes = ('v_weak', 's_weak', 'eval') def check_shapes(self, coef, vvar, svar): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) assert_(n_c == dim) assert_(svar.n_components == 1) if coef is not None: assert_((coef.shape[1:] == (n_qp, 1, 1)) or (coef.shape[1:] == (n_qp, dim, dim))) assert_((coef.shape[0] == 1) or (coef.shape[0] == n_el)) def get_fargs(self, coef, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) if coef is None: coef = nm.ones((1, n_qp, 1, 1), dtype=nm.float64) if mode == 'weak': if self.mode == 'v_weak': qp_var, qp_name = svar, 'grad' else: qp_var, qp_name = vvar, 'val' vvg, _ = self.get_mapping(vvar) svg, _ = self.get_mapping(svar) if diff_var is None: val_qp = self.get(qp_var, qp_name) fmode = 0 else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return coef, val_qp, vvg, svg, fmode elif mode == 'eval': vvg, _ = self.get_mapping(vvar) grad = self.get(svar, 'grad') val = self.get(vvar, 'val') return coef, grad, val, vvg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, coef, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) return (n_el, 1, 1, 1), vvar.dtype def set_arg_types(self): self.function = { 'v_weak' : terms.dw_v_dot_grad_s_vw, 's_weak' : terms.dw_v_dot_grad_s_sw, 'eval' : DotProductVolumeTerm.d_dot, }[self.mode] class ScalarDotGradIScalarTerm(Term): r""" Dot product of a scalar and the :math:`i`-th component of gradient of a scalar. The index should be given as a 'special_constant' material parameter. :Definition: .. math:: Z^i = \int_{\Omega} q \nabla_i p :Arguments: - material : :math:`i` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_s_dot_grad_i_s' arg_types = ('material', 'virtual', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1} @staticmethod def dw_fun(out, bf, vg, grad, idx, fmode): cc = nm.ascontiguousarray bft = cc(nm.tile(bf, (out.shape[0], 1, 1, 1))) if fmode == 0: status = terms.mulATB_integrate(out, bft, cc(grad[..., idx:idx+1, :]), vg) else: status = terms.mulATB_integrate(out, bft, cc(vg.bfg[:,:,idx:(idx + 1),:]), vg) return status def get_fargs(self, material, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): if mode == 'weak': if diff_var is None: grad = self.get(state, 'grad') fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 ap, vg = self.get_approximation(virtual) aps, vgs = self.get_approximation(state) bf = aps.get_base('v', 0, self.integral) idx = int(material[0, 0, 0, 0]) return bf, vg, grad, idx, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def set_arg_types(self): self.function = self.dw_fun sfepy-release_2015.1/sfepy/terms/terms_elastic.py000066400000000000000000000527711247364230400221410ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import use_method_with_name, assert_ from sfepy.linalg import dot_sequences from sfepy.homogenization.utils import iter_sym from sfepy.terms.terms import Term, terms from sfepy.terms.terms_th import THTerm, ETHTerm ## expr = """ ## e = 1/2 * (grad( vec( u ) ) + grad( vec( u ) ).T) ## D = map( D_sym ) ## s = D * e ## div( s ) ## """ ## """ ## e[i,j] = 1/2 * (der[j]( u[i] ) + der[i]( u[j] )) ## map = ## D[i,j,k,l] ## s[i,j] = D[i,j,k,l] * e[k,l] ## """ class LinearElasticTerm(Term): r""" General linear elasticity term, with :math:`D_{ijkl}` given in the usual matrix form exploiting symmetry: in 3D it is :math:`6\times6` with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it is :math:`3\times3` with the indices ordered as :math:`[11, 22, 12]`. Can be evaluated. Can use derivatives. :Definition: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) :Arguments 1: - material : :math:`D_{ijkl}` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` :Arguments 2: - material : :math:`D_{ijkl}` - parameter_1 : :math:`\ul{w}` - parameter_2 : :math:`\ul{u}` """ name = 'dw_lin_elastic' arg_types = (('material', 'virtual', 'state'), ('material', 'parameter_1', 'parameter_2')) arg_shapes = {'material' : 'S, S', 'virtual' : ('D', 'state'), 'state' : 'D', 'parameter_1' : 'D', 'parameter_2' : 'D'} modes = ('weak', 'eval') ## symbolic = {'expression': expr, ## 'map' : {'u' : 'state', 'D_sym' : 'material'}} def check_shapes(self, mat, virtual, state): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = (dim + 1) * dim / 2 assert_(mat.shape == (n_el, n_qp, sym, sym)) def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if mode == 'weak': if diff_var is None: strain = self.get(state, 'cauchy_strain') fmode = 0 else: strain = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return 1.0, strain, mat, vg, fmode elif mode == 'eval': strain1 = self.get(virtual, 'cauchy_strain') strain2 = self.get(state, 'cauchy_strain') return 1.0, strain1, strain2, mat, vg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'weak': self.function = terms.dw_lin_elastic else: self.function = terms.d_lin_elastic class SDLinearElasticTerm(Term): r""" Sensitivity analysis of the linear elastic term. :Definition: .. math:: \int_{\Omega} \hat{D}_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) .. math:: \hat{D}_{ijkl} = D_{ijkl}(\nabla \cdot \ul{\Vcal}) - D_{ijkq}{\partial \Vcal_l \over \partial x_q} - D_{iqkl}{\partial \Vcal_j \over \partial x_q} :Arguments: - material : :math:`D_{ijkl}` - parameter_w : :math:`\ul{w}` - parameter_u : :math:`\ul{u}` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_lin_elastic' arg_types = ('material', 'parameter_w', 'parameter_u', 'parameter_mesh_velocity') arg_shapes = {'material' : 'S, S', 'parameter_w' : 'D', 'parameter_u' : 'D', 'parameter_mesh_velocity' : 'D'} function = terms.d_lin_elastic @staticmethod def op_dv(vgrad): nel, nlev, dim, _ = vgrad.shape sd = nm.zeros((nel, nlev, dim**2, dim**2), dtype=vgrad.dtype) if dim == 1: sd[...] = vgrad[:,:] elif dim == 2: sd[:,:,0:2,0:2] = vgrad[:,:] sd[:,:,2:4,2:4] = vgrad[:,:] elif dim == 3: sd[:,:,0:3,0:3] = vgrad[:,:] sd[:,:,3:6,3:6] = vgrad[:,:] sd[:,:,6:9,6:9] = vgrad[:,:] else: exit('not yet implemented!') return sd def get_fargs(self, mat, par_w, par_u, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(par_u) grad_w = self.get(par_w, 'grad').transpose((0,1,3,2)) grad_u = self.get(par_u, 'grad').transpose((0,1,3,2)) nel, nqp, nr, nc = grad_u.shape strain_w = grad_w.reshape((nel, nqp, nr * nc, 1)) strain_u = grad_u.reshape((nel, nqp, nr * nc, 1)) mat_map = {1: nm.array([0]), 3: nm.array([0, 2, 2, 1]), 6: nm.array([0, 3, 4, 3, 1, 5, 4, 5, 2])} mmap = mat_map[mat.shape[-1]] mat_ns = mat[nm.ix_(nm.arange(nel), nm.arange(nqp), mmap, mmap)] div_mv = self.get(par_mv, 'div') grad_mv = self.get(par_mv, 'grad') opd_mv = self.op_dv(grad_mv) aux = dot_sequences(mat_ns, opd_mv) mat_mv = mat_ns * div_mv - (aux + aux.transpose((0,1,3,2))) return 1.0, strain_w, strain_u, mat_mv, vg def get_eval_shape(self, mat, par_w, par_u, par_mv, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_u) return (n_el, 1, 1, 1), par_u.dtype class LinearElasticIsotropicTerm(Term): r""" Isotropic linear elasticity term. :Definition: .. math:: \int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u}) \mbox{ with } D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) + \lambda \ \delta_{ij} \delta_{kl} :Arguments: - material_1 : :math:`\lambda` - material_2 : :math:`\mu` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_lin_elastic_iso' arg_types = ('material_1', 'material_2', 'virtual', 'state') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D'} function = staticmethod(terms.dw_lin_elastic_iso) def check_shapes(self, lam, mu, virtual, state): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) assert_(lam.shape == (n_el, n_qp, 1, 1)) assert_(mu.shape == (n_el, n_qp, 1, 1)) def get_fargs(self, lam, mu, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if mode == 'weak': if diff_var is None: strain = self.get(state, 'cauchy_strain') fmode = 0 else: strain = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return strain, lam, mu, vg, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) class LinearElasticTHTerm(THTerm): r""" Fading memory linear elastic (viscous) term. Can use derivatives. :Definition: .. math:: \int_{\Omega} \left [\int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{u}(\tau)) \difd{\tau} \right]\,e_{ij}(\ul{v}) :Arguments: - ts : :class:`TimeStepper` instance - material : :math:`\Hcal_{ijkl}(\tau)` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_lin_elastic_th' arg_types = ('ts', 'material', 'virtual', 'state') function = staticmethod(terms.dw_lin_elastic) def get_fargs(self, ts, mats, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) if mode == 'weak': if diff_var is None: def iter_kernel(): for ii, mat in enumerate(mats): strain = self.get(state, 'cauchy_strain', step=-ii) mat = nm.tile(mat, (n_el, n_qp, 1, 1)) yield ii, (ts.dt, strain, mat, vg, 0) fargs = iter_kernel else: strain = nm.array([0], ndmin=4, dtype=nm.float64) mat = nm.tile(mats[0], (n_el, n_qp, 1, 1)) fargs = ts.dt, strain, mat, vg, 1 return fargs else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) class LinearElasticETHTerm(ETHTerm): r""" This term has the same definition as dw_lin_elastic_th, but assumes an exponential approximation of the convolution kernel resulting in much higher efficiency. Can use derivatives. :Definition: .. math:: \int_{\Omega} \left [\int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{u}(\tau)) \difd{\tau} \right]\,e_{ij}(\ul{v}) :Arguments: - ts : :class:`TimeStepper` instance - material_0 : :math:`\Hcal_{ijkl}(0)` - material_1 : :math:`\exp(-\lambda \Delta t)` (decay at :math:`t_1`) - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_lin_elastic_eth' arg_types = ('ts', 'material_0', 'material_1', 'virtual', 'state') function = staticmethod(terms.dw_lin_elastic) def get_fargs(self, ts, mat0, mat1, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _, key = self.get_mapping(state, return_key=True) if diff_var is None: strain = self.get(state, 'cauchy_strain') key += tuple(self.arg_names[ii] for ii in [1, 2, 4]) data = self.get_eth_data(key, state, mat1, strain) fargs = (ts.dt, data.history + data.values, mat0, vg, 0) else: aux = nm.array([0], ndmin=4, dtype=nm.float64) fargs = (ts.dt, aux, mat0, vg, 1) return fargs class LinearPrestressTerm(Term): r""" Linear prestress term, with the prestress :math:`\sigma_{ij}` given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. Can be evaluated. :Definition: .. math:: \int_{\Omega} \sigma_{ij} e_{ij}(\ul{v}) :Arguments 1: - material : :math:`\sigma_{ij}` - virtual : :math:`\ul{v}` :Arguments 2: - material : :math:`\sigma_{ij}` - parameter : :math:`\ul{u}` """ name = 'dw_lin_prestress' arg_types = (('material', 'virtual'), ('material', 'parameter')) arg_shapes = {'material' : 'S, 1', 'virtual' : ('D', None), 'parameter' : 'D'} modes = ('weak', 'eval') def check_shapes(self, mat, virtual): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(virtual) sym = (dim + 1) * dim / 2 assert_(mat.shape == (n_el, n_qp, sym, 1)) def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) if mode == 'weak': return mat, vg else: strain = self.get(virtual, 'cauchy_strain') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return strain, mat, vg, fmode def get_eval_shape(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(virtual) if mode != 'qp': n_qp = 1 return (n_el, n_qp, 1, 1), virtual.dtype def d_lin_prestress(self, out, strain, mat, vg, fmode): aux = dot_sequences(mat, strain, mode='ATB') if fmode == 2: out[:] = aux status = 0 else: status = vg.integrate(out, aux, fmode) return status def set_arg_types(self): if self.mode == 'weak': self.function = terms.dw_lin_prestress else: self.function = self.d_lin_prestress class LinearStrainFiberTerm(Term): r""" Linear (pre)strain fiber term with the unit direction vector :math:`\ul{d}`. :Definition: .. math:: \int_{\Omega} D_{ijkl} e_{ij}(\ul{v}) \left(d_k d_l\right) :Arguments: - material_1 : :math:`D_{ijkl}` - material_2 : :math:`\ul{d}` - virtual : :math:`\ul{v}` """ name = 'dw_lin_strain_fib' arg_types = ('material_1', 'material_2', 'virtual') arg_shapes = {'material_1' : 'S, S', 'material_2' : 'D, 1', 'virtual' : ('D', None)} function = staticmethod(terms.dw_lin_strain_fib) def check_shapes(self, mat1, mat2, virtual): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(virtual) sym = (dim + 1) * dim / 2 assert_(mat1.shape == (n_el, n_qp, sym, sym)) assert_(mat2.shape == (n_el, n_qp, dim, 1)) def get_fargs(self, mat1, mat2, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) omega = nm.empty(mat1.shape[:3] + (1,), dtype=nm.float64) for ii, (ir, ic) in enumerate(iter_sym(mat2.shape[2])): omega[..., ii, 0] = mat2[..., ir, 0] * mat2[..., ic, 0] return mat1, omega, vg class CauchyStrainTerm(Term): r""" Evaluate Cauchy strain tensor. It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. The last three (non-diagonal) components are doubled so that it is energetically conjugate to the Cauchy stress tensor with the same storage. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} \ull{e}(\ul{w}) .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \ull{e}(\ul{w}) / \int_{T_K} 1 .. math:: \ull{e}(\ul{w})|_{qp} :Arguments: - parameter : :math:`\ul{w}` """ name = 'ev_cauchy_strain' arg_types = ('parameter',) arg_shapes = {'parameter' : 'D'} @staticmethod def function(out, strain, vg, fmode): if fmode == 2: out[:] = strain status = 0 else: status = terms.de_cauchy_strain(out, strain, vg, fmode) return status def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) strain = self.get(parameter, 'cauchy_strain') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return strain, vg, fmode def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, dim * (dim + 1) / 2, 1), parameter.dtype class CauchyStrainSTerm(CauchyStrainTerm): r""" Evaluate Cauchy strain tensor on a surface region. See :class:`CauchyStrainTerm`. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Gamma} \ull{e}(\ul{w}) .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \ull{e}(\ul{w}) / \int_{T_K} 1 .. math:: \ull{e}(\ul{w})|_{qp} :Arguments: - parameter : :math:`\ul{w}` """ name = 'ev_cauchy_strain_s' arg_types = ('parameter',) integration = 'surface_extra' class CauchyStressTerm(Term): r""" Evaluate Cauchy stress tensor. It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} D_{ijkl} e_{kl}(\ul{w}) .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} D_{ijkl} e_{kl}(\ul{w}) / \int_{T_K} 1 .. math:: D_{ijkl} e_{kl}(\ul{w})|_{qp} :Arguments: - material : :math:`D_{ijkl}` - parameter : :math:`\ul{w}` """ name = 'ev_cauchy_stress' arg_types = ('material', 'parameter') arg_shapes = {'material' : 'S, S', 'parameter' : 'D'} @staticmethod def function(out, coef, strain, mat, vg, fmode): if fmode == 2: out[:] = dot_sequences(mat, strain) status = 0 else: status = terms.de_cauchy_stress(out, strain, mat, vg, fmode) if coef is not None: out *= coef return status def get_fargs(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) strain = self.get(parameter, 'cauchy_strain') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return None, strain, mat, vg, fmode def get_eval_shape(self, mat, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, dim * (dim + 1) / 2, 1), parameter.dtype class CauchyStressTHTerm(CauchyStressTerm, THTerm): r""" Evaluate fading memory Cauchy stress tensor. It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau} / \int_{T_K} 1 .. math:: \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau}|_{qp} :Arguments: - ts : :class:`TimeStepper` instance - material : :math:`\Hcal_{ijkl}(\tau)` - parameter : :math:`\ul{w}` """ name = 'ev_cauchy_stress_th' arg_types = ('ts', 'material', 'parameter') arg_shapes = {} def get_fargs(self, ts, mats, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) def iter_kernel(): for ii, mat in enumerate(mats): strain = self.get(state, 'cauchy_strain', step=-ii) mat = nm.tile(mat, (n_el, n_qp, 1, 1)) yield ii, (ts.dt, strain, mat, vg, fmode) return iter_kernel def get_eval_shape(self, ts, mats, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): out = CauchyStressTerm.get_eval_shape(self, mats, parameter, mode, term_mode, diff_var, **kwargs) return out class CauchyStressETHTerm(CauchyStressTerm, ETHTerm): r""" Evaluate fading memory Cauchy stress tensor. It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as :math:`[11, 22, 33, 12, 13, 23]`, in 2D it has 3 components with the indices ordered as :math:`[11, 22, 12]`. Assumes an exponential approximation of the convolution kernel resulting in much higher efficiency. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau} / \int_{T_K} 1 .. math:: \int_0^t \Hcal_{ijkl}(t-\tau)\,e_{kl}(\ul{w}(\tau)) \difd{\tau}|_{qp} :Arguments: - ts : :class:`TimeStepper` instance - material_0 : :math:`\Hcal_{ijkl}(0)` - material_1 : :math:`\exp(-\lambda \Delta t)` (decay at :math:`t_1`) - parameter : :math:`\ul{w}` """ name = 'ev_cauchy_stress_eth' arg_types = ('ts', 'material_0', 'material_1', 'parameter') arg_shapes = {} def get_fargs(self, ts, mat0, mat1, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _, key = self.get_mapping(state, return_key=True) strain = self.get(state, 'cauchy_strain') key += tuple(self.arg_names[1:]) data = self.get_eth_data(key, state, mat1, strain) fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return ts.dt, data.history + data.values, mat0, vg, fmode def get_eval_shape(self, ts, mat0, mat1, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): out = CauchyStressTerm.get_eval_shape(self, mat0, parameter, mode, term_mode, diff_var, **kwargs) return out sfepy-release_2015.1/sfepy/terms/terms_electric.py000066400000000000000000000014771247364230400223040ustar00rootroot00000000000000from sfepy.terms.terms import Term, terms class ElectricSourceTerm( Term ): r""" Electric source term. :Definition: .. math:: \int_{\Omega} c s (\nabla \phi)^2 :Arguments: - material : :math:`c` (electric conductivity) - virtual : :math:`s` (test function) - parameter : :math:`\phi` (given electric potential) """ name = 'dw_electric_source' arg_types = ('material', 'virtual', 'parameter') arg_shapes = {'material' : '1, 1', 'virtual' : (1, None), 'parameter' : 1} function = staticmethod(terms.dw_electric_source) def get_fargs(self, mat, virtual, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) grad = self.get(parameter, 'grad') return grad, mat, vg sfepy-release_2015.1/sfepy/terms/terms_fibres.py000066400000000000000000000061021247364230400217520ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms_hyperelastic_tl import HyperElasticTLBase from sfepy.homogenization.utils import iter_sym def fibre_function(out, pars, green_strain, fmode): """ Depending on `fmode`, compute fibre stress (0) or tangent modulus (!= 0). """ fmax, eps_opt, s, fdir, act = pars eps = nm.zeros_like(fmax) omega = nm.empty_like(green_strain) for ii, (ir, ic) in enumerate(iter_sym(fdir.shape[2])): omega[..., ii, 0] = fdir[..., ir, 0] * fdir[..., ic, 0] eps[..., 0, 0] += omega[..., ii, 0] * green_strain[..., ii, 0] tau = act * fmax * nm.exp(-((eps - eps_opt) / s)**2.0) if fmode == 0: out[:] = omega * tau else: for ir in range(omega.shape[2]): for ic in range(omega.shape[2]): out[..., ir, ic] = omega[..., ir, 0] * omega[..., ic, 0] out[:] *= -2.0 * ((eps - eps_opt) / (s**2.0)) * tau return out class FibresActiveTLTerm(HyperElasticTLBase): r""" Hyperelastic active fibres term. Effective stress :math:`S_{ij} = A f_{\rm max} \exp{\left\{-(\frac{\epsilon - \varepsilon_{\rm opt}}{s})^2\right\}} d_i d_j`, where :math:`\epsilon = E_{ij} d_i d_j` is the Green strain :math:`\ull{E}` projected to the fibre direction :math:`\ul{d}`. :Definition: .. math:: \int_{\Omega} S_{ij}(\ul{u}) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - material_1 : :math:`f_{\rm max}` - material_2 : :math:`\varepsilon_{\rm opt}` - material_3 : :math:`s` - material_4 : :math:`\ul{d}` - material_5 : :math:`A` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_fib_a' arg_types = ('material_1', 'material_2', 'material_3', 'material_4', 'material_5', 'virtual', 'state') arg_shapes = {'material_1' : '1, 1', 'material_2' : '1, 1', 'material_3' : '1, 1', 'material_4' : 'D, 1', 'material_5' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D'} family_data_names = ['green_strain'] def get_fargs(self, mat1, mat2, mat3, mat4, mat5, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): fargs = HyperElasticTLBase.get_fargs(self, (mat1, mat2, mat3, mat4, mat5), virtual, state, mode, term_mode, diff_var, **kwargs) return fargs @staticmethod def stress_function(out, pars, green_strain): fibre_function(out, pars, green_strain, 0) @staticmethod def tan_mod_function(out, pars, green_strain): fibre_function(out, pars, green_strain, 1) def get_eval_shape(self, mat1, mat2, mat3, mat4, mat5, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 return (n_el, 1, sym, 1), state.dtype sfepy-release_2015.1/sfepy/terms/terms_hyperelastic_base.py000066400000000000000000000246211247364230400241740ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms import Term, terms _msg_missing_data = 'missing family data!' class HyperElasticBase(Term): """ Base class for all hyperelastic terms in TL/UL formulation. `HyperElasticBase.__call__()` computes element contributions given either stress (-> rezidual) or tangent modulus (-> tangent sitffnes matrix), i.e. constitutive relation type (CRT) related data. The CRT data are computed in subclasses implementing particular CRT (e.g. neo-Hookean material), in self.compute_crt_data(). Modes: - 0: total formulation - 1: updated formulation Notes ----- This is not a proper Term! """ arg_types = ('material', 'virtual', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D'} @staticmethod def integrate(out, val_qp, vg, fmode): if fmode == 2: out[:] = val_qp status = 0 else: status = vg.integrate(out, val_qp, fmode) return status @staticmethod def function(out, fun, *args): return fun(out, *args) def __init__(self, *args, **kwargs): Term.__init__(self, *args, **kwargs) igs = self.region.igs self.stress_cache = {}.fromkeys(igs, None) def get_family_data(self, state, cache_name, data_names): """ Notes ----- `data_names` argument is ignored for now. """ name = state.name step_cache = state.evaluate_cache.setdefault(cache_name, {}) cache = step_cache.setdefault(self.arg_steps[name], {}) vg, _, key = self.get_mapping(state, return_key=True) data_key = key + (self.arg_derivatives[name],) if data_key in cache: out = cache[data_key] else: out = self.compute_family_data(state) cache[data_key] = out return out def compute_stress(self, mat, family_data, **kwargs): out = nm.empty_like(family_data.green_strain) get = family_data.get fargs = [get(name, msg_if_none=_msg_missing_data) for name in self.family_data_names] self.stress_function(out, mat, *fargs) return out def compute_tan_mod(self, mat, family_data, **kwargs): shape = list(family_data.green_strain.shape) shape[-1] = shape[-2] out = nm.empty(shape, dtype=nm.float64) get = family_data.get fargs = [get(name, msg_if_none=_msg_missing_data) for name in self.family_data_names] self.tan_mod_function(out, mat, *fargs) return out def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) fd = self.get_family_data(state, self.fd_cache_name, self.family_data_names) if mode == 'weak': ig = self.char_fun.ig if diff_var is None: stress = self.compute_stress(mat, fd, **kwargs) self.stress_cache[ig] = stress tan_mod = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 0 else: stress = self.stress_cache[ig] if stress is None: stress = self.compute_stress(mat, fd, **kwargs) tan_mod = self.compute_tan_mod(mat, fd, **kwargs) fmode = 1 return (self.weak_function, stress, tan_mod, fd.mtx_f, fd.det_f, vg, fmode, self.hyperelastic_mode) elif mode in ('el_avg', 'qp'): if term_mode == 'strain': out_qp = fd.green_strain elif term_mode == 'stress': out_qp = self.compute_stress(mat, fd, **kwargs) else: raise ValueError('unsupported term mode in %s! (%s)' % (self.name, term_mode)) fmode = {'el_avg' : 1, 'qp' : 2}[mode] return self.integrate, out_qp, vg, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 if mode != 'qp': n_qp = 1 return (n_el, n_qp, sym, 1), state.dtype # def _call_hmode( self, diff_var = None, chunk_size = None, **kwargs ): # term_mode, = self.get_kwargs( ['term_mode'], **kwargs ) # virtual, state, state_u = self.get_args( ['virtual', 'state', 'state_u'], **kwargs ) # ap, vg = self.get_approximation(virtual) # self.set_data_shape(ap) # shape, mode = self.get_shape(diff_var, chunk_size) # cache = self.get_cache( self.function['finite_strain'][self.mode_ul], 0 ) # family_data = cache(self.family_data_names, self, 0, state=state_u) # ig = self.char_fun.ig # if term_mode is None: # stress = self.crt_data.stress[ig] # if stress is None: # stress = self.compute_crt_data(family_data, 0, **kwargs) # self.crt_data.stress[ig] = stress # tan_mod = self.crt_data.tan_mod[ig] # if tan_mod is None: # tan_mod = self.compute_crt_data(family_data, 1, **kwargs) # self.crt_data.tan_mod[ig] = tan_mod # fun = self.function['element_contribution'] # mtxF, detF = cache(['F', 'detF'], self, 0, state=state_u) # if mode == 0: # vec = self.get_vector(state) # for out, chunk in self.char_fun( chunk_size, shape ): # out2 = nm.zeros(out.shape[:-1] + (out.shape[-2],), # dtype=nm.float64) # status1 = fun( out2, stress, tan_mod, # mtxF, detF, vg, chunk, 1, self.mode_ul ) # status2 = terms.he_residuum_from_mtx( out, out2, vec, ap.econn, chunk ) # yield out, chunk, status1 or status2 # else: # for out, chunk in self.char_fun( chunk_size, shape ): # status = fun( out, stress, tan_mod, # mtxF, detF, vg, chunk, 1, self.mode_ul ) # yield out, chunk, status # elif term_mode == 'd_eval': # raise NotImplementedError # def _call_emode( self, diff_var = None, chunk_size = None, **kwargs ): # term_mode, = self.get_kwargs( ['term_mode'], **kwargs ) # par1, par2, state_u = self.get_args(['parameter_1', 'parameter_2', 'state_u'], **kwargs) # ap, vg = self.get_approximation(par1) # self.set_data_shape(ap) # n_el, n_qp, dim, n_ep = self.data_shape # shape0 = (1, dim * n_ep, dim * n_ep) # shape = (chunk_size, 1, 1, 1) # cache = self.get_cache( self.function['finite_strain'][self.mode_ul], 0 ) # family_data = cache(self.family_data_names, self, 0, state=state_u) # ig = self.char_fun.ig # stress = self.crt_data.stress[ig] # if stress is None: # stress = self.compute_crt_data(family_data, 0, **kwargs) # self.crt_data.stress[ig] = stress # tan_mod = self.crt_data.tan_mod[ig] # if tan_mod is None: # tan_mod = self.compute_crt_data(family_data, 1, **kwargs) # self.crt_data.tan_mod[ig] = tan_mod # fun = self.function['element_contribution'] # mtxF, detF = cache(['F', 'detF'], self, 0, state=state_u) # p1 = self.get_vector(par1) # p2 = self.get_vector(par2) # for out, chunk in self.char_fun( chunk_size, shape ): # out2 = nm.zeros((out.shape[0],) + shape0, dtype=nm.float64) # status1 = fun( out2, stress, tan_mod, # mtxF, detF, vg, chunk, 1, self.mode_ul ) # status2 = terms.he_eval_from_mtx(out, out2, p1, p2, ap.econn, chunk) # out0 = nm.sum(out) # yield out0, chunk, status1 or status2 # def __call__( self, diff_var = None, chunk_size = None, **kwargs ): # if self.call_mode is 0: # return self._call_smode( diff_var, chunk_size, **kwargs ) # # elif self.call_mode is 1: # # return self._call_hmode( diff_var, chunk_size, **kwargs ) # # elif self.call_mode is 2: # # return self._call_emode( diff_var, chunk_size, **kwargs ) # else: # raise NotImplementedError class DeformationGradientTerm(Term): r""" Deformation gradient :math:`\ull{F}` in quadrature points for `term_mode='def_grad'` (default) or the jacobian :math:`J` if `term_mode='jacobian'`. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \ull{F} = \pdiff{\ul{x}}{\ul{X}}|_{qp} = \ull{I} + \pdiff{\ul{u}}{\ul{X}}|_{qp} \;, \\ \ul{x} = \ul{X} + \ul{u} \;, J = \det{(\ull{F})} :Arguments: - parameter : :math:`\ul{u}` """ name = 'ev_def_grad' arg_types = ('parameter',) arg_shapes = {'parameter' : 'D'} @staticmethod def function(out, vec, vg, econn, term_mode, fmode): d = 1 if term_mode == 'jacobian' else vg.dim out_qp = nm.empty((out.shape[0], vg.n_qp, d, d), dtype=out.dtype) mode = 1 if term_mode == 'jacobian' else 0 terms.dq_def_grad(out_qp, vec, vg, econn, mode) if fmode == 2: out[:] = out_qp status = 0 else: status = vg.integrate(out, out_qp, fmode) return status def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): ap, vg = self.get_approximation(parameter) vec = self.get_vector(parameter) fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return vec, vg, ap.econn, term_mode, fmode def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 if term_mode == 'jacobian': return (n_el, n_qp, 1, 1), parameter.dtype else: # 'def_grad' return (n_el, n_qp, dim, dim), parameter.dtype sfepy-release_2015.1/sfepy/terms/terms_hyperelastic_tl.py000066400000000000000000000442561247364230400237070ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_, Struct from sfepy.terms.terms import terms from sfepy.terms.terms_hyperelastic_base import HyperElasticBase class HyperElasticTLBase(HyperElasticBase): """ Base class for all hyperelastic terms in TL formulation family. The subclasses should have the following static method attributes: - `stress_function()` (the stress) - `tan_mod_function()` (the tangent modulus) The common (family) data are cached in the evaluate cache of state variable. """ family_function = staticmethod(terms.dq_finite_strain_tl) weak_function = staticmethod(terms.dw_he_rtm) fd_cache_name = 'tl_common' hyperelastic_mode = 0 def compute_family_data(self, state): ap, vg = self.get_approximation(state) vec = self.get_vector(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 shapes = { 'mtx_f' : (n_el, n_qp, dim, dim), 'det_f' : (n_el, n_qp, 1, 1), 'sym_c' : (n_el, n_qp, sym, 1), 'tr_c' : (n_el, n_qp, 1, 1), 'in2_c' : (n_el, n_qp, 1, 1), 'sym_inv_c' : (n_el, n_qp, sym, 1), 'green_strain' : (n_el, n_qp, sym, 1), } data = Struct(name='tl_family_data') for key, shape in shapes.iteritems(): setattr(data, key, nm.zeros(shape, dtype=nm.float64)) self.family_function(data.mtx_f, data.det_f, data.sym_c, data.tr_c, data.in2_c, data.sym_inv_c, data.green_strain, vec, vg, ap.econn) return data class NeoHookeanTLTerm(HyperElasticTLBase): r""" Hyperelastic neo-Hookean term. Effective stress :math:`S_{ij} = \mu J^{-\frac{2}{3}}(\delta_{ij} - \frac{1}{3}C_{kk}C_{ij}^{-1})`. :Definition: .. math:: \int_{\Omega} S_{ij}(\ul{u}) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - material : :math:`\mu` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_he_neohook' family_data_names = ['det_f', 'tr_c', 'sym_inv_c'] stress_function = staticmethod(terms.dq_tl_he_stress_neohook) tan_mod_function = staticmethod(terms.dq_tl_he_tan_mod_neohook) class MooneyRivlinTLTerm(HyperElasticTLBase): r""" Hyperelastic Mooney-Rivlin term. Effective stress :math:`S_{ij} = \kappa J^{-\frac{4}{3}} (C_{kk} \delta_{ij} - C_{ij} - \frac{2}{3 } I_2 C_{ij}^{-1})`. :Definition: .. math:: \int_{\Omega} S_{ij}(\ul{u}) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - material : :math:`\kappa` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_he_mooney_rivlin' family_data_names = ['det_f', 'tr_c', 'sym_inv_c', 'sym_c', 'in2_c'] stress_function = staticmethod(terms.dq_tl_he_stress_mooney_rivlin) tan_mod_function = staticmethod(terms.dq_tl_he_tan_mod_mooney_rivlin) class BulkPenaltyTLTerm(HyperElasticTLBase): r""" Hyperelastic bulk penalty term. Stress :math:`S_{ij} = K(J-1)\; J C_{ij}^{-1}`. :Definition: .. math:: \int_{\Omega} S_{ij}(\ul{u}) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - material : :math:`K` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_bulk_penalty' family_data_names = ['det_f', 'sym_inv_c'] stress_function = staticmethod(terms.dq_tl_he_stress_bulk) tan_mod_function = staticmethod(terms.dq_tl_he_tan_mod_bulk) class BulkActiveTLTerm(HyperElasticTLBase): r""" Hyperelastic bulk active term. Stress :math:`S_{ij} = A J C_{ij}^{-1}`, where :math:`A` is the activation in :math:`[0, F_{\rm max}]`. :Definition: .. math:: \int_{\Omega} S_{ij}(\ul{u}) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - material : :math:`A` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_bulk_active' family_data_names = ['det_f', 'sym_inv_c'] stress_function = staticmethod(terms.dq_tl_he_stress_bulk_active) tan_mod_function = staticmethod(terms.dq_tl_he_tan_mod_bulk_active) class BulkPressureTLTerm(HyperElasticTLBase): r""" Hyperelastic bulk pressure term. Stress :math:`S_{ij} = -p J C_{ij}^{-1}`. :Definition: .. math:: \int_{\Omega} S_{ij}(p) \delta E_{ij}(\ul{u};\ul{v}) :Arguments: - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` - state_p : :math:`p` """ name = 'dw_tl_bulk_pressure' arg_types = ('virtual', 'state', 'state_p') arg_shapes = {'virtual' : ('D', 'state'), 'state' : 'D', 'state_p' : 1} family_data_names = ['det_f', 'sym_inv_c'] family_function = staticmethod(terms.dq_finite_strain_tl) weak_function = staticmethod(terms.dw_he_rtm) weak_dp_function = staticmethod(terms.dw_tl_volume) stress_function = staticmethod(terms.dq_tl_stress_bulk_pressure) tan_mod_u_function = staticmethod(terms.dq_tl_tan_mod_bulk_pressure_u) def compute_data(self, family_data, mode, **kwargs): det_f, sym_inv_c = family_data.det_f, family_data.sym_inv_c p_qp = family_data.p_qp if mode == 0: out = nm.empty_like(sym_inv_c) fun = self.stress_function elif mode == 1: shape = list(sym_inv_c.shape) shape[-1] = shape[-2] out = nm.empty(shape, dtype=nm.float64) fun = self.tan_mod_u_function else: raise ValueError('bad mode! (%d)' % mode) fun(out, p_qp, det_f, sym_inv_c) return out def get_fargs(self, virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs): vgv, _ = self.get_mapping(state) fd = self.get_family_data(state, 'tl_common', self.family_data_names) fd.p_qp = self.get(state_p, 'val') if mode == 'weak': ig = self.char_fun.ig if diff_var != state_p.name: if diff_var is None: stress = self.compute_data(fd, 0, **kwargs) self.stress_cache[ig] = stress tan_mod = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 0 else: stress = self.stress_cache[ig] if stress is None: stress = self.compute_data(fd, 0, **kwargs) tan_mod = self.compute_data(fd, 1, **kwargs) fmode = 1 fargs = (self.weak_function, stress, tan_mod, fd.mtx_f, fd.det_f, vgv, fmode, 0) else: vgs, _ = self.get_mapping(state_p) fargs = (self.weak_dp_function, fd.mtx_f, fd.sym_inv_c, fd.det_f, vgs, vgv, 1, -1) return fargs elif mode == 'el_avg': if term_mode == 'strain': out_qp = fd.green_strain elif term_mode == 'stress': out_qp = self.compute_data(fd, 0, **kwargs) else: raise ValueError('unsupported term mode in %s! (%s)' % (self.name, term_mode)) return self.integrate, out_qp, vgv, 1 else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 return (n_el, 1, sym, 1), state.dtype class VolumeTLTerm(HyperElasticTLBase): r""" Volume term (weak form) in the total Lagrangian formulation. :Definition: .. math:: \begin{array}{l} \int_{\Omega} q J(\ul{u}) \\ \mbox{volume mode: vector for } K \from \Ical_h: \int_{T_K} J(\ul{u}) \\ \mbox{rel\_volume mode: vector for } K \from \Ical_h: \int_{T_K} J(\ul{u}) / \int_{T_K} 1 \end{array} :Arguments: - virtual : :math:`q` - state : :math:`\ul{u}` """ name = 'dw_tl_volume' arg_types = ('virtual', 'state') arg_shapes = {'virtual' : (1, None), 'state' : 'D'} family_data_names = ['mtx_f', 'det_f', 'sym_inv_c'] function = staticmethod(terms.dw_tl_volume) def get_fargs(self, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vgs, _ = self.get_mapping(virtual) vgv, _ = self.get_mapping(state) fd = self.get_family_data(state, 'tl_common', self.family_data_names) if mode == 'weak': if diff_var is None: fmode = 0 else: fmode = 1 elif (mode == 'eval') or (mode == 'el_avg'): if term_mode == 'volume': fmode = 2 elif term_mode == 'rel_volume': fmode = 3 else: raise ValueError('unsupported term evaluation mode in %s! (%s)' % (self.name, term_mode)) else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) return fd.mtx_f, fd.sym_inv_c, fd.det_f, vgs, vgv, 0, fmode def get_eval_shape(self, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype class DiffusionTLTerm(HyperElasticTLBase): r""" Diffusion term in the total Lagrangian formulation with linearized deformation-dependent permeability :math:`\ull{K}(\ul{u}) = J \ull{F}^{-1} \ull{k} f(J) \ull{F}^{-T}`, where :math:`\ul{u}` relates to the previous time step :math:`(n-1)` and :math:`f(J) = \max\left(0, \left(1 + \frac{(J - 1)}{N_f}\right)\right)^2` expresses the dependence on volume compression/expansion. :Definition: .. math:: \int_{\Omega} \ull{K}(\ul{u}^{(n-1)}) : \pdiff{q}{\ul{X}} \pdiff{p}{\ul{X}} :Arguments: - material_1 : :math:`\ull{k}` - material_2 : :math:`N_f` - virtual : :math:`q` - state : :math:`p` - parameter : :math:`\ul{u}^{(n-1)}` """ name = 'dw_tl_diffusion' arg_types = ('material_1', 'material_2', 'virtual', 'state', 'parameter') arg_shapes = {'material_1' : 'D, D', 'material_2' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter' : 'D'} family_data_names = ['mtx_f', 'det_f'] function = staticmethod(terms.dw_tl_diffusion) def get_fargs(self, perm, ref_porosity, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vgv, _ = self.get_mapping(parameter) fd = self.get_family_data(parameter, 'tl_common', self.family_data_names) grad = self.get(state, 'grad') if mode == 'weak': if diff_var is None: fmode = 0 else: fmode = 1 elif mode == 'el_avg': if term_mode == 'diffusion_velocity': fmode = 2 else: raise ValueError('unsupported term evaluation mode in %s! (%s)' % (self.name, term_mode)) else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) return grad, perm, ref_porosity, fd.mtx_f, fd.det_f, vgv, fmode def get_eval_shape(self, perm, ref_porosity, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, dim, 1), state.dtype class HyperElasticSurfaceTLBase(HyperElasticBase): """ Base class for all hyperelastic surface terms in TL formulation family. """ family_function = staticmethod(terms.dq_tl_finite_strain_surface) fd_cache_name = 'tl_surface_common' def compute_family_data(self, state): ap, sg = self.get_approximation(state) sd = ap.surface_data[self.region.name] vec = self.get_vector(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) shapes = { 'mtx_f' : (n_el, n_qp, dim, dim), 'det_f' : (n_el, n_qp, 1, 1), 'inv_f' : (n_el, n_qp, dim, dim), } data = Struct(name='tl_surface_family_data') for key, shape in shapes.iteritems(): setattr(data, key, nm.zeros(shape, dtype=nm.float64)) self.family_function(data.mtx_f, data.det_f, data.inv_f, vec, sg, sd.fis, ap.econn) return data class SurfaceFluxTLTerm(HyperElasticSurfaceTLBase): r""" Surface flux term in the total Lagrangian formulation, consistent with :class:`DiffusionTLTerm`. :Definition: .. math:: \int_{\Gamma} \ul{\nu} \cdot \ull{K}(\ul{u}^{(n-1)}) \pdiff{p}{\ul{X}} :Arguments: - material_1 : :math:`\ull{k}` - material_2 : :math:`N_f` - parameter_1 : :math:`p` - parameter_2 : :math:`\ul{u}^{(n-1)}` """ name = 'd_tl_surface_flux' arg_types = ('material_1', 'material_2', 'parameter_1', 'parameter_2') arg_shapes = {'material_1' : 'D, D', 'material_2' : '1, 1', 'parameter_1' : 1, 'parameter_2' : 'D'} family_data_names = ['det_f', 'inv_f'] integration = 'surface_extra' function = staticmethod(terms.d_tl_surface_flux) def get_fargs(self, perm, ref_porosity, pressure, displacement, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(displacement) fd = self.get_family_data(displacement, 'tl_surface_common', self.family_data_names) grad = self.get(pressure, 'grad') fmode = {'eval' : 0, 'el_avg' : 1, 'el' : 0}.get(mode, 0) return grad, perm, ref_porosity, fd.inv_f, fd.det_f, sg, fmode def get_eval_shape(self, perm, ref_porosity, pressure, displacement, mode=None, term_mode=None, diff_var=None, **kwargs): n_fa, n_qp, dim, n_en, n_c = self.get_data_shape(displacement) return (n_fa, 1, 1, 1), pressure.dtype class SurfaceTractionTLTerm(HyperElasticSurfaceTLBase): r""" Surface traction term in the total Lagrangian formulation, expressed using :math:`\ul{\nu}`, the outward unit normal vector w.r.t. the undeformed surface, :math:`\ull{F}(\ul{u})`, the deformation gradient, :math:`J = \det(\ull{F})`, and :math:`\ull{\sigma}` a given traction, often equal to a given pressure, i.e. :math:`\ull{\sigma} = \pi \ull{I}`. :Definition: .. math:: \int_{\Gamma} \ul{\nu} \cdot \ull{F}^{-1} \cdot \ull{\sigma} \cdot \ul{v} J :Arguments: - material : :math:`\ull{\sigma}` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_surface_traction' arg_types = ('opt_material', 'virtual', 'state') arg_shapes = [{'opt_material' : 'D, D', 'virtual' : ('D', 'state'), 'state' : 'D'}, {'opt_material' : None}] family_data_names = ['det_f', 'inv_f'] integration = 'surface_extra' function = staticmethod(terms.dw_tl_surface_traction) def check_shapes(self, mat, virtual, state): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) if mat is not None: assert_(mat.shape == (n_el, n_qp, dim, dim)) def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(virtual) sd = ap.surface_data[self.region.name] bf = ap.get_base(sd.bkey, 0, self.integral) fd = self.get_family_data(state, 'tl_surface_common', self.family_data_names) if mat is None: eye = nm.eye(sg.dim, dtype=nm.float64) mat = nm.tile(eye, ((1, sg.n_qp, 1, 1))) if diff_var is None: fmode = 0 else: fmode = 1 return mat, fd.det_f, fd.inv_f, bf, sg, sd.fis, fmode class VolumeSurfaceTLTerm(HyperElasticSurfaceTLBase): r""" Volume of a :math:`D`-dimensional domain, using a surface integral in the total Lagrangian formulation, expressed using :math:`\ul{\nu}`, the outward unit normal vector w.r.t. the undeformed surface, :math:`\ull{F}(\ul{u})`, the deformation gradient, and :math:`J = \det(\ull{F})`. Uses the approximation of :math:`\ul{u}` for the deformed surface coordinates :math:`\ul{x}`. :Definition: .. math:: 1 / D \int_{\Gamma} \ul{\nu} \cdot \ull{F}^{-1} \cdot \ul{x} J :Arguments: - parameter : :math:`\ul{u}` """ name = 'd_tl_volume_surface' arg_types = ('parameter',) arg_shapes = {'parameter' : 'D'} family_data_names = ['det_f', 'inv_f'] integration = 'surface_extra' function = staticmethod(terms.d_tl_volume_surface) def check_shapes(self, parameter): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) assert_(dim == n_c) def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): ap, sg = self.get_approximation(parameter) sd = ap.surface_data[self.region.name] bf = ap.get_base(sd.bkey, 0, self.integral) fd = self.get_family_data(parameter, 'tl_surface_common', self.family_data_names) asc = nm.ascontiguousarray coors0 = parameter.field.get_coor() coors = asc(coors0 + parameter().reshape(coors0.shape)) return coors, fd.det_f, fd.inv_f, bf, sg, asc(sd.econn) def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) return (n_el, 1, 1, 1), parameter.dtype sfepy-release_2015.1/sfepy/terms/terms_hyperelastic_ul.py000066400000000000000000000524751247364230400237120ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import Struct from sfepy.terms.terms import terms from sfepy.terms.terms_hyperelastic_base import HyperElasticBase _msg_missing_data = 'missing family data!' class HyperElasticULBase(HyperElasticBase): """ Base class for all hyperelastic terms in UL formulation family. The subclasses should have the following static method attributes: - `stress_function()` (the stress) - `tan_mod_function()` (the tangent modulus) The common (family) data are cached in the evaluate cache of state variable. """ family_function = staticmethod(terms.dq_finite_strain_ul) weak_function = staticmethod(terms.dw_he_rtm) fd_cache_name = 'ul_common' hyperelastic_mode = 1 def compute_family_data(self, state): ap, vg = self.get_approximation(state, get_saved=True) vec = self.get_vector(state) n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 shapes = { 'mtx_f' : (n_el, n_qp, dim, dim), 'det_f' : (n_el, n_qp, 1, 1), 'sym_b' : (n_el, n_qp, sym, 1), 'tr_b' : (n_el, n_qp, 1, 1), 'in2_b' : (n_el, n_qp, 1, 1), 'green_strain' : (n_el, n_qp, sym, 1), } data = Struct(name='ul_family_data') for key, shape in shapes.iteritems(): setattr(data, key, nm.zeros(shape, dtype=nm.float64)) self.family_function(data.mtx_f, data.det_f, data.sym_b, data.tr_b, data.in2_b, data.green_strain, vec, vg, ap.econn) return data class NeoHookeanULTerm(HyperElasticULBase): r""" Hyperelastic neo-Hookean term. Effective stress :math:`\tau_{ij} = \mu J^{-\frac{2}{3}}(b_{ij} - \frac{1}{3}b_{kk}\delta_{ij})`. :Definition: .. math:: \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J :Arguments: - material : :math:`\mu` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_ul_he_neohook' family_data_names = ['det_f', 'tr_b', 'sym_b'] stress_function = staticmethod(terms.dq_ul_he_stress_neohook) tan_mod_function = staticmethod(terms.dq_ul_he_tan_mod_neohook) # class NeoHookeanULHTerm(NeoHookeanULTerm): # r""" # Hyperelastic neo-Hookean term. Geometrical configuration given by # parameter :math:`\ul{w}`. Effective stress :math:`\tau_{ij} = \mu # J^{-\frac{2}{3}}(b_{ij} - \frac{1}{3}b_{kk}\delta_{ij})`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments 1: # - material : :math:`\mu` # - virtual : :math:`\ul{v}` # - state : :math:`\ul{u}` # - state_u : :math:`\ul{w}` # """ # name = 'dw_ul_he_neohook_h' # arg_types = ('material', 'virtual', 'state', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']]} # def __init__(self, *args, **kwargs): # HyperElasticULBase.__init__(self, *args, **kwargs) # self.call_mode = 1 # class NeoHookeanULEHTerm(NeoHookeanULTerm): # r""" # Hyperelastic neo-Hookean term. # Geometrical configuration given by parameter :math:`\ul{w}`. # Effective stress :math:`\tau_{ij} = \mu J^{-\frac{2}{3}}(b_{ij} - \frac{1}{3}b_{kk}\delta_{ij})`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments: # - material : :math:`\mu` # - parameter_1 : :math:`\ul{v}` # - parameter_2 : :math:`\ul{u}` # - state_u : :math:`\ul{w}` # """ # name = 'd_ul_he_neohook_h' # arg_types = ('material', 'parameter_1', 'parameter_2', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']]} # def __init__(self, *args, **kwargs): # HyperElasticULBase.__init__(self, *args, **kwargs) # self.call_mode = 2 # class NeoHookeanULEvalTerm(Term): # name = 'de_ul_he_neohook' # arg_types = ('material', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']]} # function = {'stress': terms.dq_ul_he_stress_neohook, # 'element_contribution' : terms.de_he_rtm} # def __call__( self, diff_var = None, chunk_size = None, **kwargs ): # mat, state_u = self.get_args( ['material', 'state_u'], **kwargs ) # ap, vg = self.get_approximation(state_u) # dim = ap.dim[0] # sym = (dim + 1) * dim / 2 # shape = (chunk_size, 1, sym, 1) # cache = self.get_cache('finite_strain_ul', 0) # detF, trB, B = cache(['detF', 'trB', 'B'], self, 0, state=state_u) # stress = nm.empty_like(B) # fun = self.function['stress'] # fun(stress, mat, detF, trB, B) # fun = self.function['element_contribution'] # for out, chunk in self.char_fun(chunk_size, shape): # status = fun(out, stress, detF, vg, chunk, 1) # out1 = nm.sum(out,0).reshape((sym,)) # yield out1, chunk, status # class BulkPenaltyULHTerm(BulkPenaltyULTerm): # r""" # Hyperelastic bulk penalty term. # Geometrical configuration given by parameter :math:`\ul{w}`. # Stress :math:`\tau_{ij} = K(J-1)\; J \delta_{ij}`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments: # - material : :math:`K` # - virtual : :math:`\ul{v}` # - state : :math:`\ul{u}` # - state_u : :math:`\ul{w}` # """ # name = 'dw_ul_bulk_penalty_h' # arg_types = ('material', 'virtual', 'state', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']]} # def __init__(self, *args, **kwargs): # HyperElasticULBase.__init__(self, *args, **kwargs) # self.call_mode = 1 # class BulkPenaltyULEHTerm(BulkPenaltyULTerm): # r""" # Hyperelastic bulk penalty term. # Geometrical configuration given by parameter :math:`\ul{w}`. # Stress :math:`\tau_{ij} = K(J-1)\; J \delta_{ij}`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments: # - material : :math:`K` # - parameter_1 : :math:`\ul{v}` # - parameter_2 : :math:`\ul{u}` # - state_u : :math:`\ul{w}` # """ # name = 'd_ul_bulk_penalty_h' # arg_types = ('material', 'parameter_1', 'parameter_2', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']]} # def __init__(self, *args, **kwargs): # HyperElasticULBase.__init__(self, *args, **kwargs) # self.call_mode = 2 class MooneyRivlinULTerm(HyperElasticULBase): r""" Hyperelastic Mooney-Rivlin term. :Definition: .. math:: \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J :Arguments: - material : :math:`\kappa` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_ul_he_mooney_rivlin' family_data_names = ['det_f', 'tr_b', 'sym_b', 'in2_b'] stress_function = staticmethod(terms.dq_ul_he_stress_mooney_rivlin) tan_mod_function = staticmethod(terms.dq_ul_he_tan_mod_mooney_rivlin) class BulkPenaltyULTerm(HyperElasticULBase): r""" Hyperelastic bulk penalty term. Stress :math:`\tau_{ij} = K(J-1)\; J \delta_{ij}`. :Definition: .. math:: \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J :Arguments: - material : :math:`K` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_ul_bulk_penalty' family_data_names = ['det_f'] stress_function = staticmethod(terms.dq_ul_he_stress_bulk) tan_mod_function = staticmethod(terms.dq_ul_he_tan_mod_bulk) class BulkPressureULTerm(HyperElasticULBase): r""" Hyperelastic bulk pressure term. Stress :math:`S_{ij} = -p J \delta_{ij}`. :Definition: .. math:: \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J :Arguments: - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` - state_p : :math:`p` """ name = 'dw_ul_bulk_pressure' arg_types = ('virtual', 'state', 'state_p') arg_shapes = {'virtual' : ('D', 'state'), 'state' : 'D', 'state_p' : 1} family_data_names = ['det_f', 'sym_b'] family_function = staticmethod(terms.dq_finite_strain_ul) weak_function = staticmethod(terms.dw_he_rtm) weak_dp_function = staticmethod(terms.dw_ul_volume) stress_function = staticmethod(terms.dq_ul_stress_bulk_pressure) tan_mod_u_function = staticmethod(terms.dq_ul_tan_mod_bulk_pressure_u) def compute_data(self, family_data, mode, **kwargs): det_f, sym_b = family_data.det_f, family_data.sym_b p_qp = family_data.p_qp if mode == 0: out = nm.empty_like(sym_b) fun = self.stress_function elif mode == 1: shape = list(sym_b.shape) shape[-1] = shape[-2] out = nm.empty(shape, dtype=nm.float64) fun = self.tan_mod_u_function else: raise ValueError('bad mode! (%d)' % mode) fun(out, p_qp, det_f) return out def get_fargs(self, virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs): vgv, _ = self.get_mapping(state) fd = self.get_family_data(state, 'ul_common', self.family_data_names) fd.p_qp = self.get(state_p, 'val') if mode == 'weak': ig = self.char_fun.ig if diff_var != state_p.name: if diff_var is None: stress = self.compute_data(fd, 0, **kwargs) self.stress_cache[ig] = stress tan_mod = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 0 else: stress = self.stress_cache[ig] if stress is None: stress = self.compute_data(fd, 0, **kwargs) tan_mod = self.compute_data(fd, 1, **kwargs) fmode = 1 fargs = (self.weak_function, stress, tan_mod, fd.mtx_f, fd.det_f, vgv, fmode, 1) else: vgs, _ = self.get_mapping(state_p) fargs = (self.weak_dp_function, fd.det_f, vgs, vgv, 1, -1) return fargs elif mode == 'el_avg': if term_mode == 'strain': out_qp = fd.green_strain elif term_mode == 'stress': out_qp = self.compute_data(fd, 0, **kwargs) else: raise ValueError('unsupported term mode in %s! (%s)' % (self.name, term_mode)) return self.integrate, out_qp, vgv, 1 else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 return (n_el, 1, sym, 1), state.dtype # class BulkPressureULHTerm(BulkPressureULTerm): # r""" # Hyperelastic bulk pressure term. Stress # :math:`S_{ij} = -p J \delta_{ij}`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments: # - virtual : :math:`\ul{v}` # - state : :math:`\ul{u}` # - state_p : :math:`p` # - state_u : :math:`w` # """ # name = 'dw_ul_bulk_pressure_h' # arg_types = ('virtual', 'state', 'state_p', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']], # 'state_in_volume_qp' : [['state_p']]} # def __call__(self, diff_var=None, chunk_size=None, **kwargs): # term_mode, = self.get_kwargs(['term_mode'], **kwargs) # virtual, state, state_p, state_u = self.get_args(**kwargs) # apv, vgv = self.get_approximation(virtual) # aps, vgs = self.get_approximation(state_p) # self.set_data_shape(apv, aps) # shape, mode = self.get_shape_grad(diff_var, chunk_size) # cache = self.get_cache('finite_strain_ul', 0) # family_data = cache(['detF', 'B'], self, 0, state=state_u) # ig = self.char_fun.ig # if term_mode is None: # if mode < 2: # stress = self.crt_data.stress[ig] # if stress is None: # stress = self.compute_crt_data(family_data, 0, **kwargs) # self.crt_data.stress[ig] = stress # tan_mod = self.crt_data.tan_mod[ig] # if tan_mod is None: # tan_mod = self.compute_crt_data(family_data, 1, **kwargs) # self.crt_data.tan_mod[ig] = tan_mod # fun = self.function['element_contribution'] # mtxF, detF = cache(['F', 'detF'], self, 0, state=state_u) # if mode == 0: # vec = self.get_vector(state) # for out, chunk in self.char_fun(chunk_size, shape): # out2 = nm.zeros(out.shape[:-1] + (out.shape[-2],), # dtype=nm.float64) # status1 = fun(out2, stress, tan_mod, # mtxF, detF, vgv, chunk, 1, 1) # status2 = terms.he_residuum_from_mtx(out, out2, vec, apv.econn, chunk) # yield out, chunk, status1 or status2 # else: # for out, chunk in self.char_fun(chunk_size, shape): # status = fun(out, stress, tan_mod, # mtxF, detF, vgv, chunk, 1, 1) # yield out, chunk, status # else: # from sfepy.base.base import debug # debug() # # fun = self.function['element_contribution_dp'] # # mtxF, B, detF = cache(['F', 'B', 'detF'], # # self, 0, state=state_u) # # bf = aps.get_base('v', 0, self.integral) # # for out, chunk in self.char_fun(chunk_size, shape): # # status = fun(out, bf, mtxF, B, detF, vgv, 1, chunk, 1) # # yield -out, chunk, status # elif term_mode == 'd_eval': # raise NotImplementedError # class BulkPressureULEHTerm(BulkPressureULTerm): # r""" # Hyperelastic bulk pressure term. Stress # :math:`S_{ij} = -p J \delta_{ij}`. # :Definition: # .. math:: # \int_{\Omega} \mathcal{L}\tau_{ij}(\ul{u}) e_{ij}(\delta\ul{v})/J # :Arguments: # - virtual : :math:`\ul{v}` # - state : :math:`\ul{u}` # - state_p : :math:`p` # - state_u : :math:`w` # """ # name = 'd_ul_bulk_pressure_h' # arg_types = ('virtual', 'state', 'state_p', 'state_u') # use_caches = {'finite_strain_ul' : [['state_u']], # 'state_in_volume_qp' : [['state_p']]} # def __call__(self, diff_var=None, chunk_size=None, **kwargs): # term_mode, = self.get_kwargs(['term_mode'], **kwargs) # par1, par2, state_p, state_u = self.get_args(**kwargs) # apv, vgv = self.get_approximation(par1) # aps, vgs = self.get_approximation(state_p) # self.set_data_shape(apv, aps) # n_el, n_qp, dim, n_ep = self.data_shape_v # shape0 = (1, dim * n_ep, dim * n_ep) # shape = (chunk_size, 1, 1, 1) # cache = self.get_cache('finite_strain_ul', 0) # family_data = cache(['detF', 'B'], self, 0, state=state_u) # ig = self.char_fun.ig # p1 = self.get_vector(par1) # p2 = self.get_vector(par2) # stress = self.crt_data.stress[ig] # if stress is None: # stress = self.compute_crt_data(family_data, 0, **kwargs) # self.crt_data.stress[ig] = stress # tan_mod = self.crt_data.tan_mod[ig] # if tan_mod is None: # tan_mod = self.compute_crt_data(family_data, 1, **kwargs) # self.crt_data.tan_mod[ig] = tan_mod # fun = self.function['element_contribution'] # mtxF, detF = cache(['F', 'detF'], self, 0, state=state_u) # for out, chunk in self.char_fun( chunk_size, shape ): # out2 = nm.zeros((out.shape[0],) + shape0, dtype=nm.float64) # status1 = fun(out2, stress, tan_mod, # mtxF, detF, vgv, chunk, 1, 1) # status2 = terms.he_eval_from_mtx(out, out2, p1, p2, apv.econn, chunk) # out0 = nm.sum(out) # yield out0, chunk, status1 or status2 # class BulkPressureULEvalTerm(Term): # name = 'de_ul_bulk_pressure' # arg_types = ('state_u', 'state_p') # use_caches = {'finite_strain_ul' : [['state_u']], # 'state_in_volume_qp' : [['state_p']]} # function = {'stress': terms.dq_ul_stress_bulk_pressure, # 'element_contribution' : terms.de_he_rtm} # def __call__( self, diff_var = None, chunk_size = None, **kwargs ): # state_u, state_p = self.get_args( ['state_u', 'state_p'], **kwargs ) # ap, vg = self.get_approximation(state_u) # dim = ap.dim[0] # sym = (dim + 1) * dim / 2 # shape = (chunk_size, 1, sym, 1) # cache = self.get_cache( 'finite_strain_ul', 0 ) # detF, B = cache(['detF', 'B'], self, 0, state=state_u) # cache = self.get_cache('state_in_volume_qp', 0) # p_qp = cache('state', self, 0, state=state_p, get_vector=self.get_vector) # stress = nm.empty_like(B) # fun = self.function['stress'] # fun(stress, p_qp, detF) # fun = self.function['element_contribution'] # for out, chunk in self.char_fun(chunk_size, shape): # status = fun(out, stress, detF, vg, chunk, 1) # out1 = nm.sum(out,0).reshape((sym,)) # yield out1, chunk, status class VolumeULTerm(HyperElasticULBase): r""" Volume term (weak form) in the updated Lagrangian formulation. :Definition: .. math:: \begin{array}{l} \int_{\Omega} q J(\ul{u}) \\ \mbox{volume mode: vector for } K \from \Ical_h: \int_{T_K} J(\ul{u}) \\ \mbox{rel\_volume mode: vector for } K \from \Ical_h: \int_{T_K} J(\ul{u}) / \int_{T_K} 1 \end{array} :Arguments: - virtual : :math:`q` - state : :math:`\ul{u}` """ name = 'dw_ul_volume' arg_types = ('virtual', 'state') arg_shapes = {'virtual' : (1, None), 'state' : 'D'} family_data_names = ['mtx_f', 'det_f'] function = staticmethod(terms.dw_ul_volume) def get_fargs(self, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vgs, _ = self.get_mapping(virtual) vgv, _ = self.get_mapping(state) fd = self.get_family_data(state, 'ul_common', self.family_data_names) if mode == 'weak': if diff_var is None: fmode = 0 else: fmode = 1 elif mode == 'eval': if term_mode == 'volume': fmode = 2 elif term_mode == 'rel_volume': fmode = 3 else: raise ValueError('unsupported term evaluation mode in %s! (%s)' % (self.name, term_mode)) else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) return fd.det_f, vgs, vgv, 0, fmode def get_eval_shape(self, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype class CompressibilityULTerm(HyperElasticULBase): r""" Compressibility term for the updated Lagrangian formulation :Definition: .. math:: \int_{\Omega} 1\over \gamma p \, q :Arguments: - material : :math:`\gamma` - virtual : :math:`q` - state : :math:`p` - parameter_u : :math:`\ul(u)` """ name = 'dw_ul_compressible' arg_types = ('material', 'virtual', 'state', 'parameter_u') arg_shapes = {'material' : '1, 1', 'virtual' : (1, 'state'), 'state' : 1, 'parameter_u' : 'D'} family_data_names = ['mtx_f', 'det_f'] function = staticmethod(terms.dw_volume_dot_scalar) def get_fargs(self, bulk, virtual, state, parameter_u, mode=None, term_mode=None, diff_var=None, **kwargs): vgp, _ = self.get_mapping(virtual) vgs, _ = self.get_mapping(state) vgu, _ = self.get_mapping(parameter_u) fd = self.get_family_data(parameter_u, 'ul_common', self.family_data_names) coef = nm.divide(bulk, fd.det_f) if mode == 'weak': if diff_var is None: val_qp = self.get(state, 'val') fmode = 0 else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return coef, val_qp, vgp, vgs, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) sfepy-release_2015.1/sfepy/terms/terms_membrane.py000066400000000000000000000165101247364230400222720ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.linalg import dot_sequences from sfepy.mechanics.tensors import dim2sym, transform_data import sfepy.mechanics.membranes as membranes from sfepy.terms.terms import Term def eval_membrane_mooney_rivlin(a1, a2, mtx_c, c33, mode): """ Evaluate stress or tangent stiffness of the Mooney-Rivlin membrane. [1] Baoguo Wu, Xingwen Du and Huifeng Tan: A three-dimensional FE nonlinear analysis of membranes, Computers & Structures 59 (1996), no. 4, 601--605. """ a12 = 2.0 * a1[..., 0, 0] a22 = 2.0 * a2[..., 0, 0] sh = mtx_c.shape sym = dim2sym(sh[2]) c11 = mtx_c[..., 0, 0] c12 = mtx_c[..., 0, 1] c22 = mtx_c[..., 1, 1] pressure = c33 * (a12 + a22 * (c11 + c22)) if mode == 0: out = nm.empty((sh[0], sh[1], sym, 1)) # S_11, S_22, S_12. out[..., 0, 0] = -pressure * c22 * c33 + a12 + a22 * (c22 + c33) out[..., 1, 0] = -pressure * c11 * c33 + a12 + a22 * (c11 + c33) out[..., 2, 0] = +pressure * c12 * c33 - a22 * c12 else: out = nm.empty((sh[0], sh[1], sym, sym)) dp11 = a22 * c33 - pressure * c22 * c33 dp22 = a22 * c33 - pressure * c11 * c33 dp12 = 2.0 * pressure * c12 * c33 # D_11, D_22, D_33 out[..., 0, 0] = - 2.0 * ((a22 - pressure * c22) * c22 * c33**2 + c33 * c22 * dp11) out[..., 1, 1] = - 2.0 * ((a22 - pressure * c11) * c11 * c33**2 + c33 * c11 * dp22) out[..., 2, 2] = - a22 + pressure * (c33 + 2.0 * c12**2 * c33**2) \ + c12 * c33 * dp12 # D_21, D_31, D_32 out[..., 1, 0] = 2.0 * ((a22 - pressure * c33 - (a22 - pressure * c11) * c22 * c33**2) - c33 * c11 * dp11) out[..., 2, 0] = 2.0 * (-pressure * c12 * c22 * c33**2 + c12 * c33 * dp11) out[..., 2, 1] = 2.0 * (-pressure * c12 * c11 * c33**2 + c12 * c33 * dp22) out[..., 0, 1] = out[..., 1, 0] out[..., 0, 2] = out[..., 2, 0] out[..., 1, 2] = out[..., 2, 1] # D_12, D_13, D_23 ## out[..., 0, 1] = 2.0 * ((a22 - pressure * c33 ## - (a22 - pressure * c22) * c11 * c33**2) ## - c33 * c22 * dp22) ## out[..., 0, 2] = 2.0 * (a22 - pressure * c22) * c12 * c33**2 \ ## - c33 * c22 * dp12 ## out[..., 1, 2] = 2.0 * (a22 - pressure * c11) * c12 * c33**2 \ ## - c33 * c11 * dp12 return out class TLMembraneTerm(Term): r""" Mooney-Rivlin membrane with plain stress assumption. The membrane has a uniform initial thickness :math:`h_0` and obeys a hyperelastic material law with strain energy by Mooney-Rivlin: :math:`\Psi = a_1 (I_1 - 3) + a_2 (I_2 - 3)`. :Arguments: - material_a1 : :math:`a_1` - material_a2 : :math:`a_2` - material_h0 : :math:`h_0` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_tl_membrane' arg_types = ('material_a1', 'material_a2', 'material_h0', 'virtual', 'state') arg_shapes = {'material_a1' : '1, 1', 'material_a2' : '1, 1', 'material_h0' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D'} geometries = ['3_4', '3_8'] integration = 'surface' @staticmethod def function(out, fun, *args): """ Notes ----- `fun` is either `weak_function` or `eval_function` according to evaluation mode. """ return fun(out, *args) @staticmethod def weak_function(out, a1, a2, h0, mtx_c, c33, mtx_b, mtx_t, bfg, geo, fmode): crt = eval_membrane_mooney_rivlin(a1, a2, mtx_c, c33, fmode) if fmode == 0: bts = dot_sequences(mtx_b, crt, 'ATB') status = geo.integrate(out, bts * h0) membranes.transform_asm_vectors(out, mtx_t) else: btd = dot_sequences(mtx_b, crt, 'ATB') btdb = dot_sequences(btd, mtx_b) stress = eval_membrane_mooney_rivlin(a1, a2, mtx_c, c33, 0) kts = membranes.get_tangent_stress_matrix(stress, bfg) mtx_k = kts + btdb status = geo.integrate(out, mtx_k * h0) membranes.transform_asm_matrices(out, mtx_t) return status @staticmethod def eval_function(out, a1, a2, h0, mtx_c, c33, mtx_b, mtx_t, geo, term_mode, fmode): if term_mode == 'strain': out_qp = membranes.get_green_strain_sym3d(mtx_c, c33) elif term_mode == 'stress': n_el, n_qp, dm, _ = mtx_c.shape dim = dm + 1 sym = dim2sym(dim) out_qp = nm.zeros((n_el, n_qp, sym, 1), dtype=mtx_c.dtype) stress = eval_membrane_mooney_rivlin(a1, a2, mtx_c, c33, 0) out_qp[..., 0:2, 0] = stress[..., 0:2, 0] out_qp[..., 3, 0] = stress[..., 2, 0] status = geo.integrate(out, out_qp, fmode) out[:, 0, :, 0] = transform_data(out.squeeze(), mtx=mtx_t) return status def __init__(self, *args, **kwargs): Term.__init__(self, *args, **kwargs) igs = self.region.igs self.mtx_t = {}.fromkeys(igs, None) self.membrane_geo = {}.fromkeys(igs, None) self.bfg = {}.fromkeys(igs, None) def get_fargs(self, a1, a2, h0, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vv, vu = virtual, state ap, sg = self.get_approximation(vv) sd = ap.surface_data[self.region.name] ig = self.char_fun.ig if self.mtx_t[ig] is None: aux = membranes.describe_geometry(ig, vu.field, self.region, self.integral) self.mtx_t[ig], self.membrane_geo[ig] = aux # Transformed base function gradient w.r.t. material coordinates # in quadrature points. self.bfg[ig] = self.membrane_geo[ig].bfg mtx_t = self.mtx_t[ig] bfg = self.bfg[ig] geo = self.membrane_geo[ig] # Displacements of element nodes. vec_u = vu.get_state_in_region(self.region, igs=[self.char_fun.ig]) el_u = vec_u[sd.leconn] # Transform displacements to the local coordinate system. # u_new = T^T u el_u_loc = dot_sequences(el_u, mtx_t, 'AB') ## print el_u_loc mtx_c, c33, mtx_b = membranes.describe_deformation(el_u_loc, bfg) if mode == 'weak': fmode = diff_var is not None return (self.weak_function, a1, a2, h0, mtx_c, c33, mtx_b, mtx_t, bfg, geo, fmode) else: fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) assert_(term_mode in ['strain', 'stress']) return (self.eval_function, a1, a2, h0, mtx_c, c33, mtx_b, mtx_t, geo, term_mode, fmode) def get_eval_shape(self, a1, a2, h0, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) sym = dim * (dim + 1) / 2 return (n_el, 1, sym, 1), state.dtype sfepy-release_2015.1/sfepy/terms/terms_navier_stokes.py000066400000000000000000000414351247364230400233640ustar00rootroot00000000000000import numpy as nm from sfepy.linalg import dot_sequences from sfepy.terms.terms import Term, terms class DivGradTerm(Term): r""" Diffusion term. :Definition: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} \mbox{ , } \int_{\Omega} \nu\ \nabla \ul{u} : \nabla \ul{w} \\ \int_{\Omega} \nabla \ul{v} : \nabla \ul{u} \mbox{ , } \int_{\Omega} \nabla \ul{u} : \nabla \ul{w} :Arguments 1: - material : :math:`\nu` (viscosity, optional) - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` :Arguments 2: - material : :math:`\nu` (viscosity, optional) - parameter_1 : :math:`\ul{u}` - parameter_2 : :math:`\ul{w}` """ name = 'dw_div_grad' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'parameter_1', 'parameter_2')) arg_shapes = {'opt_material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D', 'parameter_1' : 'D', 'parameter_2' : 'D'} modes = ('weak', 'eval') function = staticmethod(terms.term_ns_asm_div_grad) def d_div_grad(self, out, grad1, grad2, mat, vg, fmode): sh = grad1.shape g1 = grad1.reshape((sh[0], sh[1], sh[2] * sh[3])) g2 = grad2.reshape((sh[0], sh[1], sh[2] * sh[3])) aux = mat * dot_sequences(g1[..., None], g2, 'ATB')[..., None] if fmode == 2: out[:] = aux status = 0 else: status = vg.integrate(out, aux, fmode) return status def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if mat is None: n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) mat = nm.ones((1, n_qp, 1, 1), dtype=nm.float64) if mode == 'weak': if diff_var is None: grad = self.get(state, 'grad').transpose((0, 1, 3, 2)) sh = grad.shape grad = grad.reshape((sh[0], sh[1], sh[2] * sh[3], 1)) fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return grad, mat, vg, fmode elif mode == 'eval': grad1 = self.get(virtual, 'grad') grad2 = self.get(state, 'grad') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return grad1, grad2, mat, vg, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(state) return (n_el, 1, 1, 1), state.dtype def set_arg_types(self): if self.mode == 'weak': self.function = terms.term_ns_asm_div_grad else: self.function = self.d_div_grad class ConvectTerm(Term): r""" Nonlinear convective term. :Definition: .. math:: \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{u}) \cdot \ul{v} :Arguments: - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_convect' arg_types = ('virtual', 'state') arg_shapes = {'virtual' : ('D', 'state'), 'state' : 'D'} function = staticmethod(terms.term_ns_asm_convect) def get_fargs(self, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) grad = self.get(state, 'grad').transpose((0, 1, 3, 2)).copy() val_qp = self.get(state, 'val') fmode = diff_var is not None return grad, val_qp, vg, fmode class LinearConvectTerm(Term): r""" Linearized convective term. :Definition: .. math:: \int_{\Omega} ((\ul{b} \cdot \nabla) \ul{u}) \cdot \ul{v} .. math:: ((\ul{b} \cdot \nabla) \ul{u})|_{qp} :Arguments: - virtual : :math:`\ul{v}` - parameter : :math:`\ul{b}` - state : :math:`\ul{u}` """ name = 'dw_lin_convect' arg_types = ('virtual', 'parameter', 'state') arg_shapes = {'virtual' : ('D', 'state'), 'parameter' : 'D', 'state' : 'D'} function = staticmethod(terms.dw_lin_convect) def get_fargs(self, virtual, parameter, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) val_qp = self.get(parameter, 'val') if mode == 'weak': if diff_var is None: grad = self.get(state, 'grad').transpose((0, 1, 3, 2)).copy() fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return grad, val_qp, vg, fmode elif mode == 'qp': grad = self.get(state, 'grad').transpose((0, 1, 3, 2)).copy() fmode = 2 return grad, val_qp, vg, fmode else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) class StokesTerm(Term): r""" Stokes problem coupling term. Corresponds to weak forms of gradient and divergence terms. Can be evaluated. :Definition: .. math:: \int_{\Omega} p\ \nabla \cdot \ul{v} \mbox{ , } \int_{\Omega} q\ \nabla \cdot \ul{u} \mbox{ or } \int_{\Omega} c\ p\ \nabla \cdot \ul{v} \mbox{ , } \int_{\Omega} c\ q\ \nabla \cdot \ul{u} :Arguments 1: - material : :math:`c` (optional) - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - material : :math:`c` (optional) - state : :math:`\ul{u}` - virtual : :math:`q` :Arguments 3: - material : :math:`c` (optional) - parameter_v : :math:`\ul{u}` - parameter_s : :math:`p` """ name = 'dw_stokes' arg_types = (('opt_material', 'virtual', 'state'), ('opt_material', 'state', 'virtual'), ('opt_material', 'parameter_v', 'parameter_s')) arg_shapes = [{'opt_material' : '1, 1', 'virtual/grad' : ('D', None), 'state/grad' : 1, 'virtual/div' : (1, None), 'state/div' : 'D', 'parameter_v' : 'D', 'parameter_s' : 1}, {'opt_material' : None}] modes = ('grad', 'div', 'eval') @staticmethod def d_eval(out, coef, vec_qp, div, vvg): out_qp = coef * vec_qp * div status = vvg.integrate(out, out_qp) return status def get_fargs(self, coef, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var, qp_name = svar, 'val' else: qp_var, qp_name = vvar, 'div' n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) if coef is None: coef = nm.ones((1, n_qp, 1, 1), dtype=nm.float64) if mode == 'weak': vvg, _ = self.get_mapping(vvar) svg, _ = self.get_mapping(svar) if diff_var is None: val_qp = self.get(qp_var, qp_name) fmode = 0 else: val_qp = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return coef, val_qp, svg, vvg, fmode elif mode == 'eval': vvg, _ = self.get_mapping(vvar) div = self.get(vvar, 'div') vec_qp = self.get(svar, 'val') return coef, vec_qp, div, vvg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, coef, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) return (n_el, 1, 1, 1), vvar.dtype def set_arg_types(self): self.function = { 'grad' : terms.dw_grad, 'div' : terms.dw_div, 'eval' : self.d_eval, }[self.mode] class GradTerm(Term): r""" Evaluate gradient of a scalar or vector field. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} \nabla p \mbox{ or } \int_{\Omega} \nabla \ul{w} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \nabla p / \int_{T_K} 1 \mbox{ or } \int_{T_K} \nabla \ul{w} / \int_{T_K} 1 .. math:: (\nabla p)|_{qp} \mbox{ or } \nabla \ul{w}|_{qp} :Arguments: - parameter : :math:`p` or :math:`\ul{w}` """ name = 'ev_grad' arg_types = ('parameter',) arg_shapes = [{'parameter' : 1}, {'parameter' : 'D'}] @staticmethod def function(out, grad, vg, fmode): if fmode == 2: out[:] = grad status = 0 else: status = vg.integrate(out, grad, fmode) return status def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) grad = self.get(parameter, 'grad') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return grad, vg, fmode def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, dim, n_c), parameter.dtype class DivTerm(Term): r""" Evaluate divergence of a vector field. Supports 'eval', 'el_avg' and 'qp' evaluation modes. :Definition: .. math:: \int_{\Omega} \nabla \cdot \ul{u} .. math:: \mbox{vector for } K \from \Ical_h: \int_{T_K} \nabla \cdot \ul{u} / \int_{T_K} 1 .. math:: (\nabla \cdot \ul{u})|_{qp} :Arguments: - parameter : :math:`\ul{u}` """ name = 'ev_div' arg_types = ('parameter',) arg_shapes = {'parameter' : 'D'} @staticmethod def function(out, div, vg, fmode): if fmode == 2: out[:] = div status = 0 else: status = vg.integrate(out, div, fmode) return status def get_fargs(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(parameter) div = self.get(parameter, 'div') fmode = {'eval' : 0, 'el_avg' : 1, 'qp' : 2}.get(mode, 1) return div, vg, fmode def get_eval_shape(self, parameter, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(parameter) if mode != 'qp': n_qp = 1 return (n_el, n_qp, 1, 1), parameter.dtype class DivOperatorTerm(Term): r""" Weighted divergence term of a test function. :Definition: .. math:: \int_{\Omega} \nabla \cdot \ul{v} \mbox { or } \int_{\Omega} c \nabla \cdot \ul{v} :Arguments: - material : :math:`c` (optional) - virtual : :math:`\ul{v}` """ name = 'dw_div' arg_types = ('opt_material', 'virtual') arg_shapes = [{'opt_material' : '1, 1', 'virtual' : ('D', None)}, {'opt_material' : None}] @staticmethod def function(out, mat, vg): div_bf = vg.bfg n_el, n_qp, dim, n_ep = div_bf.shape div_bf = div_bf.reshape((n_el, n_qp, dim * n_ep, 1)) div_bf = nm.ascontiguousarray(div_bf) if mat is not None: status = vg.integrate(out, mat * div_bf) else: status = vg.integrate(out, div_bf) return status def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) return mat, vg class GradDivStabilizationTerm(Term): r""" Grad-div stabilization term ( :math:`\gamma` is a global stabilization parameter). :Definition: .. math:: \gamma \int_{\Omega} (\nabla\cdot\ul{u}) \cdot (\nabla\cdot\ul{v}) :Arguments: - material : :math:`\gamma` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_st_grad_div' arg_types = ('material', 'virtual', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'state' : 'D'} function = staticmethod(terms.dw_st_grad_div) def get_fargs(self, gamma, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(state) if diff_var is None: div = self.get(state, 'div') fmode = 0 else: div = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return div, gamma, vg, fmode from sfepy.terms.terms_diffusion import LaplaceTerm class PSPGPStabilizationTerm(LaplaceTerm): r""" PSPG stabilization term, pressure part ( :math:`\tau` is a local stabilization parameter), alias to Laplace term dw_laplace. :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ \nabla p \cdot \nabla q :Arguments: - material : :math:`\tau_K` - virtual : :math:`q` - state : :math:`p` """ name = 'dw_st_pspg_p' class PSPGCStabilizationTerm(Term): r""" PSPG stabilization term, convective part ( :math:`\tau` is a local stabilization parameter). :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \tau_K\ ((\ul{b} \cdot \nabla) \ul{u}) \cdot \nabla q :Arguments: - material : :math:`\tau_K` - virtual : :math:`q` - parameter : :math:`\ul{b}` - state : :math:`\ul{u}` """ name = 'dw_st_pspg_c' arg_types = ('material', 'virtual', 'parameter', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : (1, None), 'parameter' : 'D', 'state' : 'D'} function = staticmethod(terms.dw_st_pspg_c) def get_fargs(self, tau, virtual, parameter, state, mode=None, term_mode=None, diff_var=None, **kwargs): sap, svg = self.get_approximation(virtual) vap, vvg = self.get_approximation(state) val_qp = self.get(parameter, 'val') conn = vap.get_connectivity(self.region, self.integration) if diff_var is None: fmode = 0 else: fmode = 1 return val_qp, state(), tau, svg, vvg, conn, fmode class SUPGPStabilizationTerm(Term): r""" SUPG stabilization term, pressure part ( :math:`\delta` is a local stabilization parameter). :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ \nabla p\cdot ((\ul{b} \cdot \nabla) \ul{v}) :Arguments: - material : :math:`\delta_K` - virtual : :math:`\ul{v}` - parameter : :math:`\ul{b}` - state : :math:`p` """ name = 'dw_st_supg_p' arg_types = ('material', 'virtual', 'parameter', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', None), 'parameter' : 'D', 'state' : 1} function = staticmethod(terms.dw_st_supg_p) def get_fargs(self, delta, virtual, parameter, state, mode=None, term_mode=None, diff_var=None, **kwargs): vvg, _ = self.get_mapping(virtual) svg, _ = self.get_mapping(state) val_qp = self.get(parameter, 'val') if diff_var is None: grad = self.get(state, 'grad') fmode = 0 else: grad = nm.array([0], ndmin=4, dtype=nm.float64) fmode = 1 return val_qp, grad, delta, vvg, svg, fmode class SUPGCStabilizationTerm(Term): r""" SUPG stabilization term, convective part ( :math:`\delta` is a local stabilization parameter). :Definition: .. math:: \sum_{K \in \Ical_h}\int_{T_K} \delta_K\ ((\ul{b} \cdot \nabla) \ul{u})\cdot ((\ul{b} \cdot \nabla) \ul{v}) :Arguments: - material : :math:`\delta_K` - virtual : :math:`\ul{v}` - parameter : :math:`\ul{b}` - state : :math:`\ul{u}` """ name = 'dw_st_supg_c' arg_types = ('material', 'virtual', 'parameter', 'state') arg_shapes = {'material' : '1, 1', 'virtual' : ('D', 'state'), 'parameter' : 'D', 'state' : 'D'} function = staticmethod(terms.dw_st_supg_c) def get_fargs(self, delta, virtual, parameter, state, mode=None, term_mode=None, diff_var=None, **kwargs): ap, vg = self.get_approximation(virtual) val_qp = self.get(parameter, 'val') conn = ap.get_connectivity(self.region, self.integration) if diff_var is None: fmode = 0 else: fmode = 1 return val_qp, state(), delta, vg, conn, fmode sfepy-release_2015.1/sfepy/terms/terms_new.py000066400000000000000000000173241247364230400213010ustar00rootroot00000000000000""" todo: - get row variable, col variable (if diff_var) - determine out shape - set current group to all variable arguments - loop over row/col dofs: - call term ? how to deal with components of (vector) variables? (*) for given group, Variable has to be able to: - evaluate value in quadrature points - evaluate gradient in quadrature points - ? evaluate divergence in quadrature points - ? lazy evaluation, cache! ?? base function gradients in space elements stored now in terms - in geometry, shared dict of geometries belongs to Equations -> where to cache stuff? - in variables! """ import numpy as nm from sfepy.base.base import output from sfepy.terms.terms import Term, get_shape_kind from sfepy.terms.utils import get_range_indices from sfepy.mechanics.tensors import get_full_indices from sfepy.linalg import dot_sequences as dot class NewTerm(Term): def get_geometry_key(self, variable): is_trace = self.arg_traces[variable.name] geometry_type = self.geometry_types[variable.name] region_name, iorder, ig = self.get_current_group() if is_trace: region, ig_map, ig_map_i = self.region.get_mirror_region() region_name = region.name ig = ig_map_i[ig] ap = variable.get_approximation(ig) key = (region_name, iorder, geometry_type, ap.name) return key, ig def get_geometry(self, variable): key, ig = self.get_geometry_key(variable) geo = self.get_mapping(variable)[0] return geo, key, ig def set_current_group(self, ig): """ Set current group for the term and all variables in its arguments. """ self.char_fun.set_current_group(ig) shape_kind = get_shape_kind(self.integration) for var in self.get_variables(): geo, geo_key, geo_ig = self.get_geometry(var) var.setup_bases(geo_key, geo_ig, geo, self.integral, shape_kind) var.set_current_group(geo_key, geo_ig) def integrate(self, val_qp, variable): shape_kind = get_shape_kind(self.integration) geo, _, _ = self.get_geometry(variable) sh = val_qp.shape val = nm.zeros((sh[0], 1, sh[2], sh[3]), dtype=val_qp.dtype) if shape_kind == 'volume': geo.integrate(val, val_qp) else: geo.integrate(val, val_qp) return val def evaluate(self, mode='eval', diff_var=None, **kwargs): shape_kind = get_shape_kind(self.integration) if mode == 'eval': var = self.get_variables()[0] val = 0.0 for ig in self.iter_groups(): args = self.get_args(**kwargs) val_qp = self(*args, **kwargs) _val = self.integrate(val_qp, var) val += self.sign * _val.sum() elif mode in ('el_avg', 'qp'): raise NotImplementedError() elif mode == 'weak': varr = self.get_virtual_variable() vals = [] iels = [] if diff_var is None: for ig in self.iter_groups(): args = self.get_args(**kwargs) aux = varr.get_data_shape(ig, self.integral, shape_kind, self.region.name) n_elr, n_qpr, dim, n_enr, n_cr = aux n_row = n_cr * n_enr shape = (n_elr, 1, n_row, 1) val = nm.zeros(shape, dtype=varr.dtype) for ir in varr.iter_dofs(): irs = slice(ir, ir + 1) try: val_qp = self(*args, **kwargs) except ValueError: output('%s term evaluation failed!' % self.name) raise _val = self.integrate(val_qp, varr) val[..., irs, :] = _val vals.append(self.sign * val) iels.append((ig, nm.arange(n_elr, dtype=nm.int32))) else: varc = self.get_variables(as_list=False)[diff_var] for ig in self.iter_groups(): args = self.get_args(**kwargs) aux = varr.get_data_shape(ig, self.integral, shape_kind, self.region.name) n_elr, n_qpr, dim, n_enr, n_cr = aux n_row = n_cr * n_enr aux = varc.get_data_shape(ig, self.integral, shape_kind, self.region.name) n_elc, n_qpc, dim, n_enc, n_cc = aux n_col = n_cc * n_enc shape = (n_elr, 1, n_row, n_col) val = nm.zeros(shape, dtype=varr.dtype) for ir in varr.iter_dofs(): irs = slice(ir, ir + 1) for ic in varc.iter_dofs(): ics = slice(ic, ic + 1) try: val_qp = self(*args, **kwargs) except ValueError: output('%s term evaluation failed!' % self.name) raise _val = self.integrate(val_qp, varr) val[..., irs, ics] = _val vals.append(self.sign * val) iels.append((ig, nm.arange(n_elr, dtype=nm.int32))) # Setup return value. if mode == 'eval': out = (val,) else: out = (vals, iels) # Hack: add zero status. out = out + (0,) if len(out) == 1: out = out[0] return out class NewDiffusionTerm(NewTerm): """ """ name = 'dw_new_diffusion' arg_types = ('material', 'virtual', 'state') def __call__(self, mat, virtual, state, **kwargs): val = dot(virtual.grad(), dot(mat, state.grad()), 'ATB') return val class NewMassScalarTerm(NewTerm): """ """ name = 'dw_new_mass_scalar' arg_types = ('virtual', 'state') def __call__(self, virtual, state, **kwargs): val = virtual.val() * state.val() return val class NewMassTerm(NewTerm): """ Works for both scalar and vector variables. """ name = 'dw_new_mass' arg_types = ('virtual', 'state') def __call__(self, virtual, state, **kwargs): rindx = virtual.get_component_indices() cindx = state.get_component_indices() val = virtual.get_element_zeros() for ir, irs in rindx: for ic, ics in cindx: if ir == ic: val += virtual.val(ir) * state.val(ic) return val class NewLinearElasticTerm(NewTerm): """ """ name = 'dw_new_lin_elastic' arg_types = ('material', 'virtual', 'state') def __call__(self, mat, virtual, state, **kwargs): """ Doubled out-of-diagonal strain entries! """ rindx = virtual.get_component_indices() cindx = state.get_component_indices() kindx = lindx = get_range_indices(state.dim) fi = nm.array(get_full_indices(state.dim)) val = virtual.get_element_zeros() for ir, irs in rindx: for ik, iks in kindx: irk = fi[ir, ik] irks = slice(irk, irk + 1) erk = virtual.grad(ir, ik) for ic, ics in cindx: for il, ils in lindx: icl = fi[ic, il] icls = slice(icl, icl + 1) ecl = state.grad(ic, il) val += mat[..., irks, icls] * erk * ecl return val sfepy-release_2015.1/sfepy/terms/terms_piezo.py000066400000000000000000000052661247364230400216400ustar00rootroot00000000000000import numpy as nm from sfepy.terms.terms import Term, terms class PiezoCouplingTerm(Term): r""" Piezoelectric coupling term. Can be evaluated. :Definition: .. math:: \int_{\Omega} g_{kij}\ e_{ij}(\ul{v}) \nabla_k p \mbox{ , } \int_{\Omega} g_{kij}\ e_{ij}(\ul{u}) \nabla_k q :Arguments 1: - material : :math:`g_{kij}` - virtual : :math:`\ul{v}` - state : :math:`p` :Arguments 2: - material : :math:`g_{kij}` - state : :math:`\ul{u}` - virtual : :math:`q` :Arguments 3: - material : :math:`g_{kij}` - parameter_v : :math:`\ul{u}` - parameter_s : :math:`p` """ name = 'dw_piezo_coupling' arg_types = (('material', 'virtual', 'state'), ('material', 'state', 'virtual'), ('material', 'parameter_v', 'parameter_s')) arg_shapes = {'material' : 'D, S', 'virtual/grad' : ('D', None), 'state/grad' : 1, 'virtual/div' : (1, None), 'state/div' : 'D', 'parameter_v' : 'D', 'parameter_s' : 1} modes = ('grad', 'div', 'eval') def get_fargs(self, mat, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): if self.mode == 'grad': qp_var, qp_name = svar, 'grad' else: qp_var, qp_name = vvar, 'cauchy_strain' vvg, _ = self.get_mapping(vvar) if mode == 'weak': aux = nm.array([0], ndmin=4, dtype=nm.float64) if diff_var is None: # grad or strain according to mode. val_qp = self.get(qp_var, qp_name) fmode = 0 else: val_qp = aux fmode = 1 if self.mode == 'grad': strain, grad = aux, val_qp else: strain, grad = val_qp, aux fmode += 2 return strain, grad, mat, vvg, fmode elif mode == 'eval': strain = self.get(vvar, 'cauchy_strain') grad = self.get(svar, 'grad') return strain, grad, mat, vvg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, vvar, svar, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(vvar) return (n_el, 1, 1, 1), vvar.dtype def set_arg_types( self ): self.function = { 'grad' : terms.dw_piezo_coupling, 'div' : terms.dw_piezo_coupling, 'eval' : terms.d_piezo_coupling, }[self.mode] sfepy-release_2015.1/sfepy/terms/terms_point.py000066400000000000000000000046131247364230400216360ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.terms.terms import Term class LinearPointSpringTerm(Term): r""" Linear springs constraining movement of FE nodes in a region; to use as a relaxed Dirichlet boundary conditions. :Definition: .. math:: \ul{f}^i = -k \ul{u}^i \quad \forall \mbox{ FE node } i \mbox{ in a region } :Arguments: - material : :math:`k` - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_point_lspring' arg_types = ('material', 'virtual', 'state') integration = 'point' @staticmethod def function(out, stiffness, vec, diff_var): if diff_var is None: out[:, 0, :, 0] = - stiffness * vec else: dim = vec.shape[1] eye = nm.eye(dim, dim, dtype=nm.float64) eye.shape = (1, 1) + eye.shape out[...] = - stiffness * eye return 0 def get_fargs(self, mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): vec = state.get_state_in_region(self.region) stiffness = mat['stiffness'] return stiffness, vec, diff_var class ConcentratedPointLoadTerm(Term): r""" Concentrated point load term. The load value must be given in form of a special material parameter (name prefixed with '.'), e.g. (in 2D):: 'load' : ({'.val' : [0.0, 1.0]},) This term should be used with special care, as it bypasses the usual evaluation in quadrature points. It should only be used with nodal FE basis. The number of rows of the load must be equal to the number of nodes in the region and the number of columns equal to the field dimension. :Definition: .. math:: \ul{f}^i = \ul{\bar f}^i \quad \forall \mbox{ FE node } i \mbox{ in a region } :Arguments: - material : :math:`\ul{\bar f}^i` - virtual : :math:`\ul{v}`, """ name = 'dw_point_load' arg_types = ('material', 'virtual') integration = 'point' @staticmethod def function(out, mat): out[:, 0, :, 0] = mat return 0 def check_shapes(self, mat, virtual): mat = nm.asarray(mat) assert_(mat.shape[-1] == virtual.dim) def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): return nm.asarray(mat), sfepy-release_2015.1/sfepy/terms/terms_surface.py000066400000000000000000000414071247364230400221370ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import assert_ from sfepy.terms.terms import Term, terms from sfepy.linalg import dot_sequences from sfepy.mechanics.contact_bodies import ContactPlane, ContactSphere from sfepy.discrete.fem.extmods._geommech import geme_mulAVSB3py ## # 22.08.2006, c class LinearTractionTerm(Term): r""" Linear traction forces, where, depending on dimension of 'material' argument, :math:`\ull{\sigma} \cdot \ul{n}` is :math:`\bar{p} \ull{I} \cdot \ul{n}` for a given scalar pressure, :math:`\ul{f}` for a traction vector, and itself for a stress tensor. :Definition: .. math:: \int_{\Gamma} \ul{v} \cdot \ull{\sigma} \cdot \ul{n}, \int_{\Gamma} \ul{v} \cdot \ul{n}, :Arguments: - material : :math:`\ull{\sigma}` - virtual : :math:`\ul{v}` """ name = 'dw_surface_ltr' arg_types = (('opt_material', 'virtual'), ('opt_material', 'parameter')) arg_shapes = [{'opt_material' : 'S, 1', 'virtual' : ('D', None), 'parameter' : 'D'}, {'opt_material' : 'D, 1'}, {'opt_material' : '1, 1'}, {'opt_material' : None}] modes = ('weak', 'eval') integration = 'surface' @staticmethod def d_fun(out, traction, val, sg): tdim = traction.shape[2] dim = val.shape[2] sym = (dim + 1) * dim / 2 if tdim == 0: aux = dot_sequences(val, sg.normal, 'ATB') elif tdim == 1: # Pressure aux = dot_sequences(val, traction * sg.normal, 'ATB') elif tdim == dim: # Traction vector aux = dot_sequences(val, traction, 'ATB') elif tdim == sym: # Traction tensor trn, ret = geme_mulAVSB3py(traction, sg.normal) aux = dot_sequences(val, trn, 'ATB') status = sg.integrate(out, aux) return status def get_fargs(self, traction, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) if traction is None: traction = nm.zeros((0,0,0,0), dtype=nm.float64) if mode == 'weak': return traction, sg elif mode == 'eval': val = self.get(virtual, 'val') return traction, val, sg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, traction, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(virtual) return (n_el, 1, 1, 1), virtual.dtype def set_arg_types( self ): if self.mode == 'weak': self.function = terms.dw_surface_ltr else: self.function = self.d_fun class ContactPlaneTerm(Term): r""" Small deformation elastic contact plane term with penetration penalty. The plane is given by an anchor point :math:`\ul{A}` and a normal :math:`\ul{n}`. The contact occurs in points that orthogonally project onto the plane into a polygon given by orthogonal projections of boundary points :math:`\{\ul{B}_i\}`, :math:`i = 1, \dots, N_B` on the plane. In such points, a penetration distance :math:`d(\ul{u}) = (\ul{X} + \ul{u} - \ul{A}, \ul{n})` is computed, and a force :math:`f(d(\ul{u})) \ul{n}` is applied. The force depends on the non-negative parameters :math:`k` (stiffness) and :math:`f_0` (force at zero penetration): - If :math:`f_0 = 0`: .. math:: f(d) = 0 \mbox{ for } d \leq 0 \;, \\ f(d) = k d \mbox{ for } d > 0 \;. - If :math:`f_0 > 0`: .. math:: f(d) = 0 \mbox{ for } d \leq -\frac{2 r_0}{k} \;, \\ f(d) = \frac{k^2}{4 r_0} d^2 + k d + r_0 \mbox{ for } -\frac{2 r_0}{k} < d \leq 0 \;, \\ f(d) = k d + f_0 \mbox{ for } d > 0 \;. In this case the dependence :math:`f(d)` is smooth, and a (small) force is applied even for (small) negative penetrations: :math:`-\frac{2 r_0}{k} < d \leq 0`. :Definition: .. math:: \int_{\Gamma} \ul{v} \cdot f(d(\ul{u})) \ul{n} :Arguments: - material_f : :math:`[k, f_0]` - material_n : :math:`\ul{n}` (special) - material_a : :math:`\ul{A}` (special) - material_b : :math:`\{\ul{B}_i\}`, :math:`i = 1, \dots, N_B` (special) - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_contact_plane' arg_types = ('material_f', 'material_n', 'material_a', 'material_b', 'virtual', 'state') arg_shapes = {'material_f' : '1, 2', 'material_n' : '.: D', 'material_a' : '.: D', 'material_b' : '.: N, D', 'virtual' : ('D', 'state'), 'state' : 'D'} geometries = ['3_4', '3_8'] integration = 'surface' def __init__(self, *args, **kwargs): Term.__init__(self, *args, **kwargs) self.cp = None @staticmethod def function(out, force, normal, geo, fmode): bf = geo.bf[0] nbf = bf * normal[None, :, None] nbf.shape = (bf.shape[0], bf.shape[2] * normal.shape[0]) if fmode == 0: out_qp = force * nbf[None, :, :, None] else: nbf2 = nbf[:, :, None] * nbf[:, None, :] out_qp = force * nbf2[None, :, :, :] status = geo.integrate(out, nm.ascontiguousarray(out_qp)) return status @staticmethod def smooth_f(d, k, f0, a, eps, diff): ii = nm.where((d > eps) & (d <= 0.0))[0] if not diff: out = nm.where(d > 0.0, k * d + f0, 0.0) if len(ii): di = d[ii] out[ii] = a[ii] * di**2 + k[ii] * di + f0[ii] else: out = nm.where(d > 0.0, k, 0.0) if len(ii): out[ii] = 2 * a[ii] * d[ii] + k[ii] return out @staticmethod def _get_force_pars(force_pars, shape): k = force_pars[..., 0] f0 = force_pars[..., 1] k.shape = f0.shape = shape ir = f0 >= 1e-14 eps = nm.where(ir, - 2.0 * f0 / k, 0.0) a = nm.zeros_like(eps) a[ir] = k[ir]**2 / (4.0 * f0[ir]) return k, f0, eps, a def get_fargs(self, force_pars, normal, anchor, bounds, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) assert_((force_pars >= 0.0).all(), 'force parameters must be non-negative!') if self.cp is None: self.cp = ContactPlane(anchor, normal, bounds) ig = self.char_fun.ig qps = self.get_physical_qps() qp_coors = qps.values[ig] u_qp = self.get(state, 'val').reshape(qp_coors.shape) # Deformed QP coordinates. coors = u_qp + qp_coors force = nm.zeros(coors.shape[0], dtype=nm.float64) k, f0, eps, a = self._get_force_pars(force_pars, force.shape) # Active points in contact change with displacements! ii = self.cp.mask_points(qp_coors) if diff_var is None: if ii.any(): d = self.cp.get_distance(coors[ii]) # Force in the plane normal direction. force[ii] = self.smooth_f(d, k[ii], f0[ii], a[ii], eps[ii], 0) fmode = 0 else: if ii.any(): d = self.cp.get_distance(coors[ii]) # Force in the plane normal direction derivative. force[ii] = self.smooth_f(d, k[ii], f0[ii], a[ii], eps[ii], 1) fmode = 1 force.shape = qps.shape[ig][:2] + (1, 1) return force, self.cp.normal, sg, fmode class ContactSphereTerm(ContactPlaneTerm): r""" Small deformation elastic contact sphere term with penetration penalty. The sphere is given by a centre point :math:`\ul{C}` and a radius :math:`R`. The contact occurs in points that are closer to :math:`\ul{C}` than :math:`R`. In such points, a penetration distance :math:`d(\ul{u}) = R - ||\ul{X} + \ul{u} - \ul{C}||` is computed, and a force :math:`f(d(\ul{u})) \ul{n}(\ul{u})` is applied, where :math:`\ul{n}(\ul{u}) = (\ul{X} + \ul{u} - \ul{C}) / ||\ul{X} + \ul{u} - \ul{C}||`. The force depends on the non-negative parameters :math:`k` (stiffness) and :math:`f_0` (force at zero penetration): - If :math:`f_0 = 0`: .. math:: f(d) = 0 \mbox{ for } d \leq 0 \;, \\ f(d) = k d \mbox{ for } d > 0 \;. - If :math:`f_0 > 0`: .. math:: f(d) = 0 \mbox{ for } d \leq -\frac{2 r_0}{k} \;, \\ f(d) = \frac{k^2}{4 r_0} d^2 + k d + r_0 \mbox{ for } -\frac{2 r_0}{k} < d \leq 0 \;, \\ f(d) = k d + f_0 \mbox{ for } d > 0 \;. In this case the dependence :math:`f(d)` is smooth, and a (small) force is applied even for (small) negative penetrations: :math:`-\frac{2 r_0}{k} < d \leq 0`. :Definition: .. math:: \int_{\Gamma} \ul{v} \cdot f(d(\ul{u})) \ul{n}(\ul{u}) :Arguments: - material_f : :math:`[k, f_0]` - material_c : :math:`\ul{C}` (special) - material_r : :math:`R` (special) - virtual : :math:`\ul{v}` - state : :math:`\ul{u}` """ name = 'dw_contact_sphere' arg_types = ('material_f', 'material_c', 'material_r', 'virtual', 'state') arg_shapes = {'material_f' : '1, 2', 'material_c' : '.: D', 'material_r' : '.: 1', 'virtual' : ('D', 'state'), 'state' : 'D'} geometries = ['3_4', '3_8'] integration = 'surface' def __init__(self, *args, **kwargs): Term.__init__(self, *args, **kwargs) self.cs = None @staticmethod def function(out, force, normals, fd, geo, fmode): bf = geo.bf[0] nbf = bf * normals nbf.shape = (normals.shape[0], normals.shape[1], bf.shape[2] * normals.shape[2]) if fmode == 0: out_qp = force * nbf[..., None] else: nbf2 = nbf[..., None] * nbf[..., None, :] dim = normals.shape[2] n_ep = bf.shape[2] bb = bf[:, 0] vb = nm.zeros((bf.shape[0], dim, dim * n_ep)) for ii in range(dim): vb[:, ii, ii*n_ep:(ii+1)*n_ep] = bb ee = nm.eye(3)[None, ...] eebf2 = dot_sequences(vb, dot_sequences(ee, vb), 'ATB') out_qp = force * nbf2 if fd is not None: out_qp -= fd * (eebf2[None, :, :, :] - nbf2) status = geo.integrate(out, nm.ascontiguousarray(out_qp)) return status def get_fargs(self, force_pars, centre, radius, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) assert_((force_pars >= 0.0).all(), 'force parameters must be non-negative!') if self.cs is None: self.cs = ContactSphere(centre, radius) ig = self.char_fun.ig qps = self.get_physical_qps() qp_coors = qps.values[ig] u_qp = self.get(state, 'val').reshape(qp_coors.shape) # Deformed QP coordinates. coors = u_qp + qp_coors force = nm.zeros(coors.shape[0], dtype=nm.float64) normals = nm.zeros((coors.shape[0], 3), dtype=nm.float64) fd = None k, f0, eps, a = self._get_force_pars(force_pars, force.shape) # Active points in contact change with displacements! ii = self.cs.mask_points(coors, nm.abs(eps.min())) if diff_var is None: if ii.any(): d, normals[ii] = self.cs.get_distance(coors[ii]) force[ii] = self.smooth_f(d, k[ii], f0[ii], a[ii], eps[ii], 0) fmode = 0 else: if ii.any(): d, normals[ii] = self.cs.get_distance(coors[ii]) # Force derivative. force[ii] = self.smooth_f(d, k[ii], f0[ii], a[ii], eps[ii], 1) # Force / (R - d). aux = self.smooth_f(d, k[ii], f0[ii], a[ii], eps[ii], 0) fd = nm.zeros_like(force) fd[ii] = aux / (self.cs.radius - d) fd.shape = qps.shape[ig][:2] + (1, 1) fmode = 1 force.shape = qps.shape[ig][:2] + (1, 1) normals.shape = qps.shape[ig][:2] + (3, 1) return force, normals, fd, sg, fmode class SufaceNormalDotTerm(Term): r""" "Scalar traction" term, (weak form). :Definition: .. math:: \int_{\Gamma} q \ul{c} \cdot \ul{n} :Arguments: - material : :math:`\ul{c}` - virtual : :math:`q` """ name = 'dw_surface_ndot' arg_types = (('material', 'virtual'), ('material', 'parameter')) arg_shapes = {'material' : 'D, 1', 'virtual' : (1, None), 'parameter' : 1} modes = ('weak', 'eval') integration = 'surface' @staticmethod def dw_fun(out, material, bf, sg): bf_t = nm.tile(bf.transpose((0, 1, 3, 2)), (out.shape[0], 1, 1, 1)) bf_t = nm.ascontiguousarray(bf_t) aux = dot_sequences(material, sg.normal, 'ATB') status = sg.integrate(out, bf_t * aux) return status @staticmethod def d_fun(out, material, val, sg): aux = dot_sequences(material, sg.normal, 'ATB') status = sg.integrate(out, val * aux) return status def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) if mode == 'weak': return mat, sg.bf, sg elif mode == 'eval': val = self.get(virtual, 'val') return mat, val, sg else: raise ValueError('unsupported evaluation mode in %s! (%s)' % (self.name, mode)) def get_eval_shape(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(virtual) return (n_el, 1, 1, 1), virtual.dtype def set_arg_types( self ): if self.mode == 'weak': self.function = self.dw_fun else: self.function = self.d_fun class SDSufaceIntegrateTerm(Term): r""" Sensitivity of scalar traction. :Definition: .. math:: \int_{\Gamma} p \nabla \cdot \ul{\Vcal} :Arguments: - parameter : :math:`p` - parameter_mesh_velocity : :math:`\ul{\Vcal}` """ name = 'd_sd_surface_integrate' arg_types = ('parameter', 'parameter_mesh_velocity') arg_shapes = {'parameter' : 1, 'parameter_mesh_velocity' : 'D'} integration = 'surface' @staticmethod def function(out, val_p, div_v, sg): status = sg.integrate(out, val_p * div_v) return status def get_fargs(self, par, par_v, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(par) val_p = self.get(par, 'val') div_v = self.get(par_v, 'div', integration='surface_extra') return val_p, div_v, sg def get_eval_shape(self, par, par_v, mode=None, term_mode=None, diff_var=None, **kwargs): n_el, n_qp, dim, n_en, n_c = self.get_data_shape(par_v) return (n_el, 1, 1, 1), par.dtype class SurfaceJumpTerm(Term): r""" Interface jump condition. :Definition: .. math:: \int_{\Gamma} c\, q (p_1 - p_2) :Arguments: - material : :math:`c` - virtual : :math:`q` - state_1 : :math:`p_1` - state_2 : :math:`p_2` """ name = 'dw_jump' arg_types = ('opt_material', 'virtual', 'state_1', 'state_2') arg_shapes = [{'opt_material' : '1, 1', 'virtual' : (1, None), 'state_1' : 1, 'state_2' : 1}, {'opt_material' : None}] integration = 'surface' @staticmethod def function(out, jump, mul, bf1, bf2, sg, fmode): bf_t = nm.tile(sg.bf.transpose((0, 1, 3, 2)), (out.shape[0], 1, 1, 1)) if fmode == 0: vec = bf_t * jump elif fmode == 1: vec = bf_t * bf1 else: vec = - bf_t * bf2 if mul is None: status = sg.integrate(out, vec) else: status = sg.integrate(out, mul * vec) return status def get_fargs(self, coef, virtual, state1, state2, mode=None, term_mode=None, diff_var=None, **kwargs): sg, _ = self.get_mapping(virtual) sg1, _ = self.get_mapping(state1) sg2, _ = self.get_mapping(state2) if diff_var is None: val1 = self.get(state1, 'val') val2 = self.get(state2, 'val') jump = val1 - val2 fmode = 0 else: jump = None if diff_var == state1.name: fmode = 1 else: fmode = 2 return jump, coef, sg1.bf, sg2.bf, sg, fmode sfepy-release_2015.1/sfepy/terms/terms_th.py000066400000000000000000000035561247364230400211250ustar00rootroot00000000000000import numpy as nm from sfepy.base.base import Struct from sfepy.terms.terms import Term class THTerm(Term): """ Base class for terms depending on time history (fading memory terms). """ def eval_real(self, shape, fargs, mode='eval', term_mode=None, diff_var=None, **kwargs): if diff_var is None: if mode == 'eval': out = 0.0 else: out = nm.zeros(shape, dtype=nm.float64) iter_kernel = fargs for ii, fargs in iter_kernel(): out1, status = Term.eval_real(self, shape, fargs, mode=mode, term_mode=term_mode, diff_var=diff_var, **kwargs) out += out1 else: out, status = Term.eval_real(self, shape, fargs, mode=mode, term_mode=term_mode, diff_var=diff_var, **kwargs) return out, status class ETHTerm(Term): """ Base class for terms depending on time history with exponential convolution kernel (fading memory terms). """ def get_eth_data(self, key, state, decay, values): step_cache = state.evaluate_cache.setdefault('eth', {}) cache = step_cache.setdefault(None, {}) data_key = key + (self.arg_derivatives[state.name],) if data_key in cache: out = cache[data_key] out.values = values else: out = Struct(history=nm.zeros_like(values), values=values, decay=decay, __advance__=self.advance_eth_data) cache[data_key] = out return out def advance_eth_data(self, ts, data): data.history[:] = data.decay * (data.history + data.values) sfepy-release_2015.1/sfepy/terms/terms_volume.py000066400000000000000000000014771247364230400220210ustar00rootroot00000000000000from sfepy.terms.terms import Term, terms class LinearVolumeForceTerm(Term): r""" Vector or scalar linear volume forces (weak form) --- a right-hand side source term. :Definition: .. math:: \int_{\Omega} \ul{f} \cdot \ul{v} \mbox{ or } \int_{\Omega} f q :Arguments: - material : :math:`\ul{f}` or :math:`f` - virtual : :math:`\ul{v}` or :math:`q` """ name = 'dw_volume_lvf' arg_types = ('material', 'virtual') arg_shapes = [{'material' : 'D, 1', 'virtual' : ('D', None)}, {'material' : '1, 1', 'virtual' : (1, None)}] function = staticmethod(terms.dw_volume_lvf) def get_fargs(self, mat, virtual, mode=None, term_mode=None, diff_var=None, **kwargs): vg, _ = self.get_mapping(virtual) return mat, vg sfepy-release_2015.1/sfepy/terms/utils.py000066400000000000000000000012611247364230400204270ustar00rootroot00000000000000import numpy as nm def check_finiteness(data, info): is_finite = nm.isfinite(data) if not is_finite.all(): ii = nm.where(is_finite == False) print ii print data[ii] msg = 'infinite %s!, see above' % info raise ValueError(msg) def get_range_indices(num): """ Return indices and slices in given range. Returns ------- indx : list of tuples The list of `(ii, slice(ii, ii + 1))` of the indices. The first item is the index itself, the second item is a convenience slice to index components of material parameters. """ indx = [(ii, slice(ii, ii + 1)) for ii in range(num)] return indx sfepy-release_2015.1/sfepy/version.py000066400000000000000000000026311247364230400176240ustar00rootroot00000000000000# SfePy version __version__ = '2015.1' # "Minimal" supported versions. NUMPY_MIN_VERSION = '1.3' SCIPY_MIN_VERSION = '0.7' MATPLOTLIB_MIN_VERSION = '0.99.0' PYPARSING_MIN_VERSION = '1.5.0' PYTABLES_MIN_VERSION = '2.1.2' IPYTHON_MIN_VERSION = '0.10.0' MAYAVI_MIN_VERSION = '3.3.0' SYMPY_MIN_VERSION = '0.6.7' CYTHON_MIN_VERSION = '0.14.1' def get_basic_info(version=__version__): """ Return SfePy installation directory information. Append current git commit hash to `version`. """ import os.path as op from sfepy import Config # If installed, up_dir is '.', otherwise (in (git) source directory) '..'. for up_dir in ['..', '.']: top_dir = op.normpath(op.realpath(op.join(op.dirname(__file__), up_dir))) aux = op.join(top_dir, 'README') if op.isfile(aux): break else: raise RuntimeError('cannot determine SfePy top level directory!') config = Config() if not config.is_release(): # Append current git commit hash to __version__. master = op.join(top_dir, '.git/refs/heads/master') if op.isfile(master): fd = open(master, 'r') version += '-git-%s' % fd.readline().strip() fd.close() in_source_tree = up_dir == '..' return version, top_dir, in_source_tree __version__, top_dir, in_source_tree = get_basic_info(__version__) sfepy-release_2015.1/shaper.py000077500000000000000000000274711247364230400163070ustar00rootroot00000000000000#!/usr/bin/env python # 06.04.2005, c # 16.06.2005 from optparse import OptionParser import numpy as nm import sfepy from sfepy.base.base import output, remap_dict, Struct, IndexedStruct from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.discrete.evaluate import BasicEvaluator import sfepy.base.ioutils as io import sfepy.optimize.shape_optim as so from sfepy.discrete.problem import Problem from sfepy.solvers import Solver def solve_stokes(dpb, equations_stokes, nls_conf): dpb.set_equations(equations_stokes) dpb.time_update(None) output('solving Stokes problem...') state = dpb.solve(nls_conf=nls_conf) output('...done') return state def solve_navier_stokes(conf, options): opts = conf.options dpb = Problem.from_conf(conf, init_equations=False) equations = getattr(conf, '_'.join(('equations_direct', opts.problem))) dpb.set_equations(equations) ls_conf = dpb.get_solver_conf( opts.ls ) nls_conf = dpb.get_solver_conf(opts.nls_direct) method = opts.direct_method if method == 'stationary': data = {} dpb.time_update(None) state_dp = dpb.solve(nls_conf=nls_conf) elif method == 'transient': ls = Solver.any_from_conf( ls_conf ) ts_conf = dpb.get_solver_conf( opts.ts_direct ) data = {'ts' : Struct( dt = ts_conf.dt )} # Plug in mass term. mequations = {} for key, eq in equations.iteritems(): if 'dw_div_grad' in eq: eq = '+'.join( (ts_conf.mass_term, eq) ).replace( '++', '+') mequations[key] = eq if ts_conf.stokes_init: state_dp0 = solve_stokes( dpb, conf.equations_direct_stokes, nls_conf ) dpb.set_equations( mequations ) else: dpb.set_equations( mequations ) state_dp0 = dpb.create_state() dpb.time_update( None ) state_dp0.apply_ebc() from sfepy.base.log import Log log = Log.from_conf( Struct( is_plot = True ), ([r'$||u||$'], [r'$||p||$']) ) output( 'Navier-Stokes...' ) ev = BasicEvaluator( dpb, ts = Struct( dt = ts_conf.dt ) ) nls = Solver.any_from_conf( nls_conf, evaluator = ev, lin_solver = ls ) n_step = ts_conf.n_step step = 0 while 1: for ii in xrange( n_step ): output( step ) vec_u = state_dp0('w') vec_p = state_dp0('r') log( nm.linalg.norm( vec_u ), nm.linalg.norm( vec_p ) ) dpb.variables.set_data_from_state('w_0', state_dp0(), 'w') vec_dp = nls( state_dp0() ) step += 1 state_dp = state_dp0.copy() state_dp.set_reduced(vec_dp) state_dp0 = state_dp if ts_conf.interactive: try: n_step = int( raw_input( 'continue: ' ) ) if n_step <= 0: break except: break vec_u = state_dp('w') vec_p = state_dp('r') log( nm.linalg.norm( vec_u ), nm.linalg.norm( vec_p ), finished = True ) else: raise 'unknown Navier-Stokes solution method (%s)!' % method return dpb, state_dp, data def solve_generic_direct(conf, options): opts = conf.options dpb = Problem.from_conf(conf, init_equations=False) equations = getattr(conf, '_'.join(('equations_direct', opts.problem))) dpb.set_equations(equations) dpb.time_update(None) nls_conf = dpb.get_solver_conf(opts.nls_direct) state_dp = dpb.solve(nls_conf=nls_conf) return dpb, state_dp, {} ## # c: 22.11.2006, r: 15.04.2008 def solve_direct( conf, options ): """ Solve the direct (nonlinear) problem. """ opts = conf.options if hasattr( opts, 'problem' ): if opts.problem == 'navier_stokes': dpb, state_dp, data = solve_navier_stokes( conf, options ) else: output( 'unknown problem type (%s), using generic solver.'\ % opts.problem ) dpb, state_dp, data = solve_generic_direct( conf, options ) else: # Generic direct problem. dpb, state_dp, data = solve_generic_direct( conf, options ) trunk = io.get_trunk( conf.filename_mesh ) dpb.save_state( trunk + '_direct.vtk', state_dp ) if options.dump_filename is not None: import tables as pt import numarray as nar fd = pt.openFile( options.dump_filename, mode = 'w', title = "Dump file" ) out = state_dp.create_output_dict() for key, val in out.iteritems(): fd.createArray( fd.root, key, nar.asarray( val.data ), '%s data' % val.mode ) fd.close() if options.pert_mesh_filename is not None: coors0 = dpb.get_mesh_coors() # !!! # 'u' is here for displacements of le.py! vec_u = state_dp('u').copy() vec_u = vec_u.reshape( coors0.shape ) coors = coors0 + vec_u dpb.set_mesh_coors( coors ) dpb.domain.mesh.write( options.pert_mesh_filename, io = 'auto' ) return dpb, state_dp, data def solve_adjoint(conf, options, dpb, state_dp, data): """ Solve the adjoint (linear) problem. """ opts = conf.options if dpb: apb = dpb.copy('adjoint') else: apb = Problem.from_conf(conf, init_equations=False) equations = getattr(conf, '_'.join(('equations_adjoint', opts.problem, opts.objective_function))) apb.set_equations(equations) apb.time_update(None) apb.ebcs.zero_dofs() apb.update_equations(None, ebcs=apb.ebcs) var_data = state_dp.get_parts() var_data = remap_dict(var_data, opts.var_map) nls_conf = apb.get_solver_conf(opts.nls_adjoint) state_ap = apb.solve(nls_conf=nls_conf, var_data=var_data) trunk = io.get_trunk(conf.filename_mesh) apb.save_state(trunk + '_adjoint.vtk', state_ap) shape_opt = so.ShapeOptimFlowCase.from_conf(conf, dpb, apb) if options.test is not None: ## # Test shape sensitivity. if shape_opt.test_terms_if_test: so.test_terms([options.test], opts.term_delta, shape_opt, var_data, state_ap) shape_opt.check_sensitivity([options.test], opts.delta, var_data, state_ap) ## # Compute objective function. val = shape_opt.obj_fun(state_dp) print 'actual obj_fun:', val ## # Compute shape sensitivity. vec_sa = shape_opt.sensitivity(var_data, state_ap) print 'actual sensitivity:', vec_sa ## # c: 22.11.2006, r: 15.04.2008 def solve_optimize( conf, options ): opts = conf.options trunk = io.get_trunk( conf.filename_mesh ) data = {} dpb = Problem.from_conf(conf, init_equations=False) equations = getattr( conf, '_'.join( ('equations_direct', opts.problem) ) ) dpb.set_equations( equations ) dpb.name = 'direct' dpb.time_update(None) apb = dpb.copy('adjoint') equations = getattr( conf, '_'.join( ('equations_adjoint', opts.problem, opts.objective_function) ) ) apb.set_equations( equations ) apb.time_update(None) apb.ebcs.zero_dofs() apb.update_equations(None, ebcs=apb.ebcs) ls_conf = dpb.get_solver_conf(opts.ls) dnls_conf = dpb.get_solver_conf(opts.nls_direct) anls_conf = dpb.get_solver_conf(opts.nls_adjoint) opt_conf = dpb.get_solver_conf(opts.optimizer) dpb.init_solvers(ls_conf=ls_conf, nls_conf=dnls_conf) apb.init_solvers(ls_conf=ls_conf, nls_conf=anls_conf) shape_opt = so.ShapeOptimFlowCase.from_conf(conf, dpb, apb) design0 = shape_opt.dsg_vars.val shape_opt.cache = Struct(design=design0 + 100, state=None, i_mesh=-1) opt_status = IndexedStruct() optimizer = Solver.any_from_conf(opt_conf, obj_fun=so.obj_fun, obj_fun_grad=so.obj_fun_grad, status=opt_status, obj_args=(shape_opt, opts)) ## # State problem solution for the initial design. vec_dp0 = so.solve_problem_for_design(dpb, design0, shape_opt, opts) dpb.save_state( trunk + '_direct_initial.vtk', vec_dp0 ) ## # Optimize. des = optimizer( design0 ) print opt_status ## # Save final state (for "optimal" design). dpb.domain.mesh.write( trunk + '_opt.mesh', io = 'auto' ) dpb.save_state(trunk + '_direct_current.vtk', shape_opt.cache.state) print des usage = """%prog [options] filename_in""" help = { 'server_mode' : "run in server mode [default: %default], N/A", 'adjoint' : "solve adjoint problem [default: %default]", 'direct' : "solve direct problem [default: %default]", 'test' : "test sensitivity by finite difference," " using design variable idsg; switches on -a, -d", 'dump' : "dump direct problem state to filename", 'pert': "save displacement-perturbed mesh to filename", 'optimize' : "full shape optimization problem", } ## # created: 13.06.2005 # last revision: 15.04.2008 def main(): parser = OptionParser(usage = usage, version = "%prog " + sfepy.__version__) parser.add_option( "-s", "--server", action = "store_true", dest = "server_mode", default = False, help = help['server_mode'] ) parser.add_option( "-a", "--adjoint", action = "store_true", dest = "adjoint", default = False, help = help['adjoint'] ) parser.add_option( "-d", "--direct", action = "store_true", dest = "direct", default = False, help = help['direct'] ) parser.add_option( "-t", "--test", type = int, metavar = 'idsg', action = "store", dest = "test", default = None, help = help['test'] ) parser.add_option( "", "--dump", metavar = 'filename', action = "store", dest = "dump_filename", default = None, help = help['dump'] ) parser.add_option( "", "--pert-mesh", metavar = 'filename', action = "store", dest = "pert_mesh_filename", default = None, help = help['pert'] ) parser.add_option( "-f", "--full", action = "store_true", dest = "optimize", default = False, help = help['optimize'] ) options, args = parser.parse_args() if options.test is not None: options.adjoint = options.direct = True if options.optimize: options.adjoint = options.direct = False if ((len( args ) == 1) and (options.direct or options.adjoint or options.optimize)): filename_in = args[0]; else: parser.print_help(), return required, other = get_standard_keywords() required.remove('equations') if options.adjoint: required += ['equations_adjoint_.*', 'filename_vp', 'equations_direct_.*'] options.direct = True elif options.direct: required += ['equations_direct_.*'] elif options.optimize: required += ['equations_direct_.*', 'equations_adjoint_.*', 'equations_sensitivity_.*', 'filename_vp'] conf = ProblemConf.from_file( filename_in, required, other ) if options.direct: dpb, state_dp, data = solve_direct( conf, options ) else: dpb, state_dp, data = None, None, None if options.adjoint: solve_adjoint( conf, options, dpb, state_dp, data ) if options.optimize: solve_optimize( conf, options ) if __name__ == '__main__': main() sfepy-release_2015.1/simple.py000077500000000000000000000143561247364230400163140ustar00rootroot00000000000000#!/usr/bin/env python # 12.01.2007, c """ Solve partial differential equations given in a SfePy problem definition file. Example problem definition files can be found in ``examples/`` directory of the SfePy top-level directory. This script works with all the examples except those in ``examples/standalone/``. Both normal and parametric study runs are supported. A parametric study allows repeated runs for varying some of the simulation parameters - see ``examples/diffusion/poisson_parametric_study.py`` file. """ from optparse import OptionParser import sfepy from sfepy.base.base import output from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.applications import PDESolverApp def print_terms(): import sfepy.terms as t tt = t.term_table print 'Terms: %d available:' % len(tt) print sorted(tt.keys()) def print_solvers(): from sfepy.solvers import solver_table print 'Solvers: %d available:' % len(solver_table) print sorted(solver_table.keys()) usage = """%prog [options] filename_in\n""" + __doc__.rstrip() help = { 'conf' : 'override problem description file items, written as python' ' dictionary without surrounding braces', 'options' : 'override options item of problem description,' ' written as python dictionary without surrounding braces', 'define' : 'pass given arguments written as python dictionary' ' without surrounding braces to define() function of problem description' ' file', 'filename' : 'basename of output file(s) [default: ]', 'output_format' : 'output file format, one of: {vtk, h5} [default: vtk]', 'log' : 'log all messages to specified file (existing file will be overwritten!)', 'quiet' : 'do not print any messages to screen', 'save_ebc' : 'save a zero solution with applied EBCs (Dirichlet boundary conditions)', 'save_ebc_nodes' : 'save a zero solution with added non-zeros in EBC (Dirichlet boundary' ' conditions) nodes - scalar variables are shown using colors,' ' vector variables using arrows with non-zero components corresponding' ' to constrained components', 'save_regions' : 'save problem regions as meshes', 'save_regions_as_groups' : 'save problem regions in a single mesh but mark them by using different' ' element/node group numbers', 'save_field_meshes' : 'save meshes of problem fields (with extra DOF nodes)', 'solve_not' : 'do not solve (use in connection with --save-*)', 'list' : 'list data, what can be one of: {terms, solvers}', } def main(): parser = OptionParser(usage=usage, version='%prog ' + sfepy.__version__) parser.add_option('-c', '--conf', metavar='"key : value, ..."', action='store', dest='conf', type='string', default=None, help= help['conf']) parser.add_option('-O', '--options', metavar='"key : value, ..."', action='store', dest='app_options', type='string', default=None, help=help['options']) parser.add_option('-d', '--define', metavar='"key : value, ..."', action='store', dest='define_args', type='string', default=None, help=help['define']) parser.add_option('-o', '', metavar='filename', action='store', dest='output_filename_trunk', default=None, help=help['filename']) parser.add_option('', '--format', metavar='format', action='store', dest='output_format', default=None, help=help['output_format']) parser.add_option('', '--log', metavar='file', action='store', dest='log', default=None, help=help['log']) parser.add_option('-q', '--quiet', action='store_true', dest='quiet', default=False, help=help['quiet']) parser.add_option('', '--save-ebc', action='store_true', dest='save_ebc', default=False, help=help['save_ebc']) parser.add_option('', '--save-ebc-nodes', action='store_true', dest='save_ebc_nodes', default=False, help=help['save_ebc_nodes']) parser.add_option('', '--save-regions', action='store_true', dest='save_regions', default=False, help=help['save_regions']) parser.add_option('', '--save-regions-as-groups', action='store_true', dest='save_regions_as_groups', default=False, help=help['save_regions_as_groups']) parser.add_option('', '--save-field-meshes', action='store_true', dest='save_field_meshes', default=False, help=help['save_field_meshes']) parser.add_option('', '--solve-not', action='store_true', dest='solve_not', default=False, help=help['solve_not']) parser.add_option('', '--list', metavar='what', action='store', dest='_list', default=None, help=help['list']) options, args = parser.parse_args() if (len(args) == 1): filename_in = args[0]; else: if options._list == 'terms': print_terms() elif options._list == 'solvers': print_solvers() else: parser.print_help(), return output.set_output(filename=options.log, quiet=options.quiet, combined=options.log is not None) required, other = get_standard_keywords() if options.solve_not: required.remove('equations') required.remove('solver_[0-9]+|solvers') other.extend(['equations']) conf = ProblemConf.from_file_and_options(filename_in, options, required, other, define_args=options.define_args) opts = conf.options output_prefix = opts.get('output_prefix', 'sfepy:') app = PDESolverApp(conf, options, output_prefix) if hasattr(opts, 'parametric_hook'): # Parametric study. parametric_hook = conf.get_function(opts.parametric_hook) app.parametrize(parametric_hook) app() if __name__ == '__main__': main() sfepy-release_2015.1/site_cfg_template.py000066400000000000000000000017561247364230400204760ustar00rootroot00000000000000## # Template file for site configuration - copy it to site_cfg.py: # $ cp site_cfg_template.py site_cfg.py # Force python version (e.g. '2.4'), or left 'auto' for autodetection. python_version = 'auto' # Operating system - one of 'posix', 'windows' or None for automatic # determination. system = None # Extra flags added to the flags supplied by distutils to compile C # extension modules. compile_flags = '-g -O2' # Extra flags added to the flags supplied by distutils to link C # extension modules. link_flags = '' # Can be '' or one or several from '-DDEBUG_FMF', '-DDEBUG_MESH'. For # developers internal use only. debug_flags = '' # Sphinx documentation uses numpydoc extension. Set the path here in case it is # not installed in a standard location. numpydoc_path = None # True for a release, False otherwise. If False, current git commit hash # is appended to version string, if the sources are in a repository. is_release = False # Tetgen executable path. tetgen_path = '/usr/bin/tetgen' sfepy-release_2015.1/test_install.py000077500000000000000000000143411247364230400175220ustar00rootroot00000000000000#!/usr/bin/env python """ Simple script for testing various SfePy functionality, examples not covered by tests, and running the tests. The script just runs the commands specified in its main() using the `subprocess` module, captures the output and compares one or more key words to the expected ones. The output of failed commands is saved to 'test_install.log' file. """ import time from optparse import OptionParser import shlex import subprocess def check_output(cmd): """ Run the specified command and capture its outputs. Returns ------- out : tuple The (stdout, stderr) output tuple. """ print cmd args = shlex.split(cmd) p = subprocess.Popen(args, stdout=subprocess.PIPE, stderr=subprocess.PIPE) out = p.communicate() return out def report(out, name, line, item, value, eps=None, return_item=False): """ Check that `item` at `line` of the output string `out` is equal to `value`. If not, print the output. """ try: status = out.split('\n')[line].split() except IndexError: print ' not enough output from command!' ok = False else: try: print ' comparing:', status[item], value if eps is None: ok = (status[item] == value) else: try: ok = abs(float(status[item]) - float(value)) < eps except: ok = False except IndexError: ok = False if ok: print ' %s:' % name, ok else: print '! %s:' % name, ok fd = open('test_install.log', 'a') fd.write('*' * 55) fd.write(out) fd.write('*' * 55) if return_item: return ok, status[item] else: return ok usage = '%prog' + '\n' + __doc__ def main(): parser = OptionParser(usage=usage, version='%prog') options, args = parser.parse_args() if len(args) > 0: parser.print_help() return fd = open('test_install.log', 'w') fd.close() eok = 0 t0 = time.time() out, err = check_output('python ./script/blockgen.py') eok += report(out, '...', -2, 1, '...done') out, err = check_output('python ./script/cylindergen.py') eok += report(out, '...', -2, 1, '...done') out, err = check_output('python ./script/convert_mesh.py meshes/3d/cylinder.vtk out.mesh') eok += report(out, '...', -2, 1, '...done') out, err = check_output('python ./script/tile_periodic_mesh.py -r 2,2 meshes/elements/2_4_2.mesh out-per.mesh') eok += report(out, '...', -2, 1, 'done.') out, err = check_output('python ./script/extract_surface.py meshes/various_formats/octahedron.node -') eok += report(out, '...', -2, 0, '1185') out, err = check_output('python ./simple.py examples/diffusion/poisson.py') eok += report(out, '...', -2, 5, '1.173819e-16', eps=1e-15) out, err = check_output("""python ./simple.py -c "ebc_2 : {'name' : 't2', 'region' : 'Gamma_Right', 'dofs' : {'t.0' : -5.0}}" examples/diffusion/poisson.py""") eok += report(out, '...', -2, 5, '2.308051e-16', eps=1e-15) out, err = check_output('python ./simple.py examples/diffusion/poisson_iga.py') eok += report(out, '...', -2, 5, '3.373487e-15', eps=1e-14) out, err = check_output('python ./simple.py examples/navier_stokes/stokes.py') eok += report(out, '...', -2, 5, '1.210678e-13', eps=1e-11) out, err = check_output('python ./simple.py examples/diffusion/poisson_parametric_study.py') eok += report(out, '...', -2, 5, '1.606408e-14', eps=1e-13) out, err = check_output('python ./simple.py examples/linear_elasticity/its2D_3.py') eok += report(out, '...', -23, 5, '3.964886e-12', eps=1e-11) eok += report(out, '...', -3, 4, '2.58660e+01', eps=1e-5) out, err = check_output('python ./simple.py examples/linear_elasticity/linear_elastic.py --format h5') eok += report(out, '...', -2, 5, '4.638192e-18', eps=1e-15) out, err = check_output('python ./extractor.py -d cylinder.h5') eok += report(out, '...', -2, 1, '...done') out, err = check_output('python ./phonon.py examples/phononic/band_gaps.py') eok += report(out, '...', -6, 2, '208.54511594') eok += report(out, '...', -5, 1, '116309.22337295]') out, err = check_output('python ./phonon.py examples/phononic/band_gaps.py --phase-velocity') eok += report(out, '...', -2, 3, '4.1894123') eok += report(out, '...', -2, 4, '2.62055608]') out, err = check_output('python ./phonon.py examples/phononic/band_gaps.py -d') eok += report(out, '...', -6, 1, '[0,') out, err = check_output('python ./phonon.py examples/phononic/band_gaps_rigid.py') eok += report(out, '...', -6, 2, '4.58709531e+01') eok += report(out, '...', -5, 1, '1.13929200e+05]') out, err = check_output('python ./schroedinger.py --hydrogen') eok += report(out, '...', -4, -2, '-0.01913506', eps=1e-4) out, err = check_output('python ./homogen.py examples/homogenization/perfusion_micro.py') eok += report(out, '...', -7, -1, 'EpA...') out, err = check_output('python examples/standalone/homogenized_elasticity/rs_correctors.py -n') eok += report(out, '...', -2, -1, '1.644e-01]]') out, err = check_output('python examples/standalone/elastic_materials/compare_elastic_materials.py -n') eok += report(out, '...', -2, 5, '1.068759e-14', eps=1e-13) out, err = check_output('python examples/standalone/interactive/linear_elasticity.py') eok += report(out, '...', -8, 0, '1.62128841139e-14', eps=1e-13) out, err = check_output('python examples/standalone/interactive/modal_analysis.py') eok += report(out, '...', -7, 3, '12142.11470773', eps=1e-13) out, err = check_output('python examples/standalone/thermal_electric/thermal_electric.py') eok += report(out, '...', -3, 5, '2.612933e-14', eps=1e-13) t1 = time.time() out, err = check_output('python ./run_tests.py') tok, failed = report(out, 'tests', -2, 7, '0', return_item=True) tok = {True : 'ok', False : 'fail'}[tok] t2 = time.time() fd = open('test_install_times.log', 'a+') fd.write('%s: examples: %.2f [s] (%d), tests: %.2f [s] (%s: %s)\n' % (time.ctime(t0), t1 - t0, eok, t2 - t1, tok, failed)) fd.close() if __name__ == '__main__': main() sfepy-release_2015.1/tests/000077500000000000000000000000001247364230400155775ustar00rootroot00000000000000sfepy-release_2015.1/tests/sympy_operators.py000066400000000000000000000031051247364230400214270ustar00rootroot00000000000000import sympy as sp from sympy import sin, cos, sympify, lambdify, Symbol from numpy import arange, zeros dim = 3 def set_dim(dim): globals()['dim'] = dim def default_space_variables(variables): from sympy.abc import x, y, z if variables is None: variables = [x, y, z][:dim] return variables def grad(f, variables=None): variables = default_space_variables(variables) n_var = len(variables) f = sp.sympify(f) out = sp.zeros((n_var, 1)) for iv, var in enumerate(variables): out[iv,0] = f.diff(var) return out def grad_v(f, variables=None): variables = default_space_variables(variables) n_var = len(variables) f = sympify(f) out = zeros((n_var,) + f.shape) for iv, var in enumerate(variables): out[iv,...] = f.diff(var) return out def div(field, variables=None): variables = default_space_variables(variables) n_var = len(variables) field = list(field) assert len(field) == n_var out = 0 for f_i, x_i in zip(field, variables): out += sp.sympify(f_i).diff(x_i) return out def laplace(f, variables=None): return div(grad(f, variables), variables) def boundary(f, variables): lap = laplace(f, variables) l = lambdify(variables, lap) a = 5. for xx in arange(-a, a, 0.1): yy = -a print xx, yy, l(xx, yy) if __name__ == '__main__': from sympy.abc import x, y f = sin(x)*cos(y) boundary(f, [x, y]) set_dim(2) f = 'sin(3.0 * x) * cos(4.0 * y)' A = sp.Matrix([[1, 0.1], [0.1, 2]]) gf = grad(f) agf = A * gf sfepy-release_2015.1/tests/test_assembling.py000066400000000000000000000075421247364230400213440ustar00rootroot00000000000000import numpy as nm import scipy.sparse as sps from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): conn = nm.array([[0, 1, 2], [2, 3, 4]], dtype=nm.int32) num = conn.max() + 1 iels = nm.array([0, 1], dtype=nm.int32) vec_in_els = nm.array([[1, 1, 1], [2, 2, 2]], dtype=nm.float64) vec_in_els.shape = (2, 1, 1, 3) mtx_in_els = nm.array([nm.ones((3, 3)), 2 * nm.ones((3, 3))], dtype=nm.float64) mtx_in_els.shape = (2, 1, 3, 3) return Test(conn=conn, num=num, iels=iels, vec_in_els=vec_in_els, mtx_in_els=mtx_in_els, conf=conf, options=options) def test_assemble_vector(self): from sfepy.discrete.fem.extmods.assemble import assemble_vector vec = nm.zeros(self.num, dtype=nm.float64) assemble_vector(vec, self.vec_in_els, self.iels, 1, self.conn) aux = nm.array([1, 1, 3, 2, 2], dtype=nm.float64) self.report('assembled: %s' % vec) self.report('expected: %s' % aux) ok = self.compare_vectors(vec, aux, label1='assembled', label2='expected') return ok def test_assemble_vector_complex(self): from sfepy.discrete.fem.extmods.assemble import assemble_vector_complex vec = nm.zeros(self.num, dtype=nm.complex128) vec_in_els = self.vec_in_els.astype(nm.complex128) * (2 - 3j) assemble_vector_complex(vec, vec_in_els, self.iels, 1, self.conn) aux = nm.array([2-3j, 2-3j, 6-9j, 4-6j, 4-6j], dtype=nm.complex128) self.report('assembled: %s' % vec) self.report('expected: %s' % aux) ok = self.compare_vectors(vec, aux, label1='assembled', label2='expected') return ok def test_assemble_matrix(self): from sfepy.discrete.fem.extmods.assemble import assemble_matrix mtx = sps.csr_matrix(nm.ones((self.num, self.num), dtype=nm.float64)) mtx.data[:] = 0.0 assemble_matrix(mtx.data, mtx.indptr, mtx.indices, self.mtx_in_els, self.iels, 1, self.conn, self.conn) aux = nm.array([[1, 1, 1, 0, 0], [1, 1, 1, 0, 0], [1, 1, 3, 2, 2], [0, 0, 2, 2, 2], [0, 0, 2, 2, 2]], dtype=nm.float64) self.report('assembled:\n%s' % mtx.toarray()) self.report('expected:\n%s' % aux) ok = self.compare_vectors(mtx, aux, label1='assembled', label2='expected') return ok def test_assemble_matrix_complex(self): from sfepy.discrete.fem.extmods.assemble import assemble_matrix_complex mtx = sps.csr_matrix(nm.ones((self.num, self.num), dtype=nm.complex128)) mtx.data[:] = 0.0 mtx_in_els = self.mtx_in_els.astype(nm.complex128) * (2 - 3j) assemble_matrix_complex(mtx.data, mtx.indptr, mtx.indices, mtx_in_els, self.iels, 1, self.conn, self.conn) aux = nm.array([[2-3j, 2-3j, 2-3j, 0+0j, 0+0j], [2-3j, 2-3j, 2-3j, 0+0j, 0+0j], [2-3j, 2-3j, 6-9j, 4-6j, 4-6j], [0+0j, 0+0j, 4-6j, 4-6j, 4-6j], [0+0j, 0+0j, 4-6j, 4-6j, 4-6j]], dtype=nm.complex128) self.report('assembled:\n%s' % mtx.toarray()) self.report('expected:\n%s' % aux) ok = self.compare_vectors(mtx, aux, label1='assembled', label2='expected') return ok sfepy-release_2015.1/tests/test_base.py000066400000000000000000000054311247364230400201250ustar00rootroot00000000000000from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon ## # 28.08.2007, c class Test( TestCommon ): ## # 28.08.2007, c def from_conf( conf, options ): return Test( conf = conf, options = options ) from_conf = staticmethod( from_conf ) ## # 28.08.2007, c def test_struct_add( self ): from sfepy.base.base import Struct from copy import deepcopy a = Struct( f1 = 0, f2 = [1, 2, 3], f3 = Struct( ff = 'abc' ), f4 = 3.14 ) a0 = deepcopy( a ) b = Struct( f1 = 5, f2 = [1], f3 = Struct( ff = '', gg = 123 ), f5 = 'new one' ) c = a + b assert_( c.f1 == 0 ) assert_( c.f2 == [1, 2, 3] ) assert_( c.f3.ff == 'abc' ) assert_( c.f3.gg == 123 ) assert_( c.f4 == 3.14 ) assert_( c.f5 == 'new one' ) assert_( a.f1 == a0.f1 ) assert_( a.f2 == a0.f2 ) assert_( a.f3.ff == a0.f3.ff ) assert_( a.f4 == a0.f4 ) return True ## # 28.08.2007, c def test_struct_i_add( self ): from sfepy.base.base import Struct a = Struct( f1 = 0, f2 = [1, 2, 3], f3 = Struct( ff = 'abc' ) ) b = Struct( f1 = 5, f2 = [1], f3 = Struct( ff = '', gg = 123 ), f4 = 'new one' ) a += b assert_( a.f1 == 0 ) assert_( a.f2 == [1, 2, 3] ) assert_( a.f3.ff == 'abc' ) assert_( a.f3.gg == 123 ) assert_( a.f4 == 'new one' ) return True def test_verbose_output(self): import StringIO from sfepy.base.base import Output, goptions fd = StringIO.StringIO() output = Output('test', filename=fd) output('test1') goptions['verbose'] = False output('test2') goptions['verbose'] = 1 output('test3') _ok1 = goptions['verbose'] == True _ok2 = fd.getvalue() == 'test test1\ntest test3\n' fd.close() ok = _ok1 and _ok2 return ok def test_resolve_deps(self): from sfepy.base.resolve_deps import resolve deps = { 'a' : ['a', 'b'], 'b' : ['a', 'b'], 'c' : ['b', 'c', 'd', 'e'], 'd' : ['c', 'e'], 'e' : ['d', 'e'], 'f' : ['e', 'f', 'g'], 'g' : ['g'], } order = resolve(deps) ok1 = order == [['g'], ['a', 'b'], ['c', 'd', 'e'], ['f']] deps = { 'a' : ['b'], 'b' : ['c'], 'c' : ['a'], } order = resolve(deps) ok2 = order == [['a', 'b', 'c']] return ok1 and ok2 sfepy-release_2015.1/tests/test_cmesh.py000066400000000000000000000114661247364230400203170ustar00rootroot00000000000000import os import numpy as nm from sfepy.base.testing import TestCommon from sfepy import data_dir # n_vertex, n_edge, n_face, n_cell # d1 -> d2 : num, n_incident expected = { '1_2_2.mesh' : ([3, 2, 0, 0], { (0, 0) : (3, 4), (0, 1) : (3, 4), (1, 0) : (2, 4), (1, 1) : (2, 2), }), '2_3_2.mesh' : ([4, 5, 2, 0], { (0, 0) : (4, 10), (0, 1) : (4, 10), (0, 2) : (4, 6), (1, 0) : (5, 10), (1, 1) : (5, 16), (1, 2) : (5, 6), (2, 0) : (2, 6), (2, 1) : (2, 6), (2, 2) : (2, 2), }), '2_4_2.mesh' : ([6, 7, 2, 0], { (0, 0) : (6, 22), (0, 1) : (6, 14), (0, 2) : (6, 8), (1, 0) : (7, 14), (1, 1) : (7, 20), (1, 2) : (7, 8), (2, 0) : (2, 8), (2, 1) : (2, 8), (2, 2) : (2, 2), }), '3_4_2.mesh' : ([5, 9, 7, 2], { (0, 0) : (5, 18), (0, 1) : (5, 18), (0, 2) : (5, 21), (0, 3) : (5, 8), (1, 0) : (9, 18), (1, 1) : (9, 48), (1, 2) : (9, 21), (1, 3) : (9, 12), (2, 0) : (7, 21), (2, 1) : (7, 21), (2, 2) : (7, 42), (2, 3) : (7, 8), (3, 0) : (2, 8), (3, 1) : (2, 12), (3, 2) : (2, 8), (3, 3) : (2, 2), }), '3_8_2.mesh' : ([12, 20, 11, 2], { (0, 0) : (12, 100), (0, 1) : (12, 40), (0, 2) : (12, 44), (0, 3) : (12, 16), (1, 0) : (20, 40), (1, 1) : (20, 96), (1, 2) : (20, 44), (1, 3) : (20, 24), (2, 0) : (11, 44), (2, 1) : (11, 44), (2, 2) : (11, 72), (2, 3) : (11, 12), (3, 0) : (2, 16), (3, 1) : (2, 24), (3, 2) : (2, 12), (3, 3) : (2, 2), }), 'square_triquad.mesh' : ([470, 1127, 658, 0], { (0, 0) : (470, 3054), (0, 1) : (470, 2254), (0, 2) : (470, 2174), (1, 0) : (1127, 2254), (1, 1) : (1127, 9174), (1, 2) : (1127, 2174), (2, 0) : (658, 2174), (2, 1) : (658, 2174), (2, 2) : (658, 6686), }), } class Test(TestCommon): @staticmethod def from_conf(conf, options): filename_meshes = [data_dir + '/meshes/elements/%s_2.mesh' % geom for geom in ['1_2', '2_3', '2_4', '3_4', '3_8']] filename_meshes.append(data_dir + '/meshes/2d/special/square_triquad.mesh') test = Test(filename_meshes=filename_meshes, conf=conf, options=options) return test def test_cmesh_counts(self): from sfepy.discrete.fem import Mesh from sfepy.discrete.fem.geometry_element import create_geometry_elements from sfepy.discrete.fem.extmods.cmesh import CMesh, get_cmem_usage gels = create_geometry_elements() ok = True for filename in self.filename_meshes: basename = os.path.basename(filename) enum, esizes = expected[basename] self.report('mesh: %s' % basename) mesh = Mesh.from_file(filename) cmesh = CMesh.from_mesh(mesh) cmesh.set_local_entities(gels) cmesh.setup_entities() self.report('dim:', cmesh.dim) self.report('n_vertex: %d, n_edge: %d, n_face: %d, n_cell: %d' % tuple(cmesh.num)) _ok = (enum == cmesh.num).all() if not _ok: self.report('%s == %s failed!' % (enum, cmesh.num)) ok = ok and _ok dim = cmesh.dim for ir in range(dim + 1): for ic in range(dim + 1): cmesh.setup_connectivity(ir, ic) mem_usage1 = get_cmem_usage()[0] if (ir == dim) and (ic == 0): continue cmesh.free_connectivity(ir, ic) mem_usage2 = get_cmem_usage()[0] cmesh.setup_connectivity(ir, ic) mem_usage3 = get_cmem_usage()[0] conn = cmesh.get_conn(ir, ic) self.report('(%d, %d) : (%d, %d)' % (ir, ic, conn.num, conn.n_incident)) sizes = nm.array([conn.num, conn.n_incident]) _ok = (esizes[ir, ic] == sizes).all() if not _ok: self.report('%s == %s failed!' % (esizes, sizes)) ok = ok and _ok _ok1 = mem_usage3 == mem_usage1 _ok2 = mem_usage3 > mem_usage2 if not (_ok1 and _ok2): self.report('unexpected memory usage! (%s)' % (mem_usage1, mem_usage2, mem_usage3)) ok = ok and (_ok1 and _ok2) return ok sfepy-release_2015.1/tests/test_domain.py000066400000000000000000000133461247364230400204660ustar00rootroot00000000000000import os.path as op import numpy as nm from sfepy.base.testing import TestCommon from sfepy import data_dir from sfepy.discrete.fem import Mesh, FEDomain def refine(domain, out_dir, level=3): for ii in range(level): domain = domain.refine() filename = op.join(out_dir, 'refine_' + domain.mesh.name + '.mesh') domain.mesh.write(filename, io='auto') return domain expected_coors = { '2_3' : nm.array([[0. , 0. ], [1. , 0. ], [0. , 1. ], [0.5, 0. ], [0.5, 0.5], [0. , 0.5]], dtype=nm.float64), '2_4' : nm.array([[0. , 0. ], [1. , 0. ], [1. , 1. ], [0. , 1. ], [0.5, 0. ], [1. , 0.5], [0.5, 1. ], [0. , 0.5], [0.5, 0.5]], dtype=nm.float64), '3_4' : nm.array([[0. , 0. , 0. ], [1. , 0. , 0. ], [0. , 1. , 0. ], [0. , 0. , 1. ], [0.5, 0. , 0. ], [0.5, 0.5, 0. ], [0. , 0.5, 0. ], [0. , 0. , 0.5], [0.5, 0. , 0.5], [0. , 0.5, 0.5]], dtype=nm.float64), '3_8' : nm.array([[0. , 0. , 0. ], [1. , 0. , 0. ], [1. , 1. , 0. ], [0. , 1. , 0. ], [0. , 0. , 1. ], [1. , 0. , 1. ], [1. , 1. , 1. ], [0. , 1. , 1. ], [0.5, 0. , 0. ], [1. , 0.5, 0. ], [0.5, 1. , 0. ], [0. , 0.5, 0. ], [0.5, 0. , 1. ], [1. , 0.5, 1. ], [0.5, 1. , 1. ], [0. , 0.5, 1. ], [0. , 0. , 0.5], [1. , 0. , 0.5], [1. , 1. , 0.5], [0. , 1. , 0.5], [0.5, 0.5, 0. ], [0. , 0.5, 0.5], [0.5, 0. , 0.5], [0.5, 0.5, 1. ], [1. , 0.5, 0.5], [0.5, 1. , 0.5], [0.5, 0.5, 0.5]], dtype=nm.float64), } expected_conn = { '2_3' : nm.array([[0, 3, 5], [3, 4, 5], [1, 4, 3], [2, 5, 4]], dtype=nm.int32), '2_4' : nm.array([[0, 4, 8, 7], [1, 5, 8, 4], [2, 6, 8, 5], [3, 7, 8, 6]], dtype=nm.int32), '3_4' : nm.array([[0, 4, 6, 7], [4, 1, 5, 8], [6, 5, 2, 9], [7, 8, 9, 3], [4, 6, 7, 8], [4, 6, 8, 5], [6, 7, 8, 9], [6, 5, 9, 8]], dtype=nm.int32), '3_8' : nm.array([[0, 8, 20, 11, 16, 22, 26, 21], [1, 9, 20, 8, 17, 24, 26, 22], [2, 10, 20, 9, 18, 25, 26, 24], [3, 11, 20, 10, 19, 21, 26, 25], [4, 15, 23, 12, 16, 21, 26, 22], [5, 12, 23, 13, 17, 22, 26, 24], [6, 13, 23, 14, 18, 24, 26, 25], [7, 14, 23, 15, 19, 25, 26, 21]], dtype=nm.int32), } def compare_mesh(geo_name, coors, conn): _coors = expected_coors[geo_name] _conn = expected_conn[geo_name] print coors.__repr__() print conn.__repr__() ok = nm.allclose(coors, _coors, rtol=0.0, atol=1e-14) ok = ok and (conn == _conn).all() return ok class Test(TestCommon): @staticmethod def from_conf(conf, options): mesh = Mesh('mesh_tetra', data_dir + '/meshes/various_formats/small3d.mesh') domain = FEDomain('domain', mesh) return Test(conf=conf, options=options, domain=domain) def test_facets(self): ok = True cmesh = self.domain.cmesh _ok = cmesh.num[1] == 26 self.report('unique edges: %s' % _ok) ok = ok and _ok _ok = cmesh.num[2] == 30 self.report('unique faces: %s' % _ok) ok = ok and _ok return ok def test_refine_tetra(self): refine(self.domain, self.options.out_dir) return True def test_refine_hexa(self): mesh = Mesh('mesh_hexa', data_dir + '/meshes/various_formats/abaqus_hex.inp') domain = FEDomain('domain', mesh) refine(domain, self.options.out_dir) return True def test_refine_2_3(self): mesh = Mesh('2_3', data_dir + '/meshes/elements/2_3_1.mesh') domain = refine(FEDomain('domain', mesh), self.options.out_dir, 1) ok = compare_mesh('2_3', domain.mesh.coors, domain.mesh.conns[0]) return ok def test_refine_2_4(self): mesh = Mesh('2_4', data_dir + '/meshes/elements/2_4_1.mesh') domain = refine(FEDomain('domain', mesh), self.options.out_dir, 1) ok = compare_mesh('2_4', domain.mesh.coors, domain.mesh.conns[0]) return ok def test_refine_3_4(self): mesh = Mesh('3_4', data_dir + '/meshes/elements/3_4_1.mesh') domain = refine(FEDomain('domain', mesh), self.options.out_dir, 1) ok = compare_mesh('3_4', domain.mesh.coors, domain.mesh.conns[0]) return ok def test_refine_3_8(self): mesh = Mesh('3_8', data_dir + '/meshes/elements/3_8_1.mesh') domain = refine(FEDomain('domain', mesh), self.options.out_dir, 1) ok = compare_mesh('3_8', domain.mesh.coors, domain.mesh.conns[0]) return ok sfepy-release_2015.1/tests/test_ebcs.py000066400000000000000000000037731247364230400201360ustar00rootroot00000000000000import os.path as op from sfepy import data_dir from sfepy.discrete.fem.periodic import match_y_line filename_mesh = data_dir + '/meshes/2d/square_unit_tri.mesh' materials = { 'm' : ({'K' : [[3.0, 0.1], [0.3, 1.0]]},), } fields = { 'pressure' : ('real', 'scalar', 'Omega', 2), } variables = { 'p' : ('unknown field', 'pressure', 0), 'q' : ('test field', 'pressure', 'p'), 'r' : ('parameter field', 'pressure', 'p'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -0.499)', 'facet'), 'LeftStrip' : ('vertices in (x < -0.499) & (y > -0.199) & (y < 0.199)', 'facet'), 'LeftFix' : ('r.Left -v r.LeftStrip', 'facet'), 'Right' : ('vertices in (x > 0.499)', 'facet'), 'RightStrip' : ('vertices in (x > 0.499) & (y > -0.199) & (y < 0.199)', 'facet'), 'RightFix' : ('r.Right -v r.RightStrip', 'facet'), } ebcs = { 't_left' : ('LeftFix', {'p.0' : 5.0}), 't_right' : ('RightFix', {'p.0' : 0.0}), } epbcs = { 'periodic_x' : (['LeftStrip', 'RightStrip'], {'p.0' : 'p.0'}, 'match_y_line'), } functions = { 'match_y_line' : (match_y_line,), } equations = { 'eq' : """dw_diffusion.2.Omega( m.K, q, p ) = 0""" } solvers = { 'ls' : ('ls.scipy_direct', {}), 'newton' : ('nls.newton', {'i_max' : 1, 'eps_a' : 1e-10, }), } from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.applications import solve_pde problem, state = solve_pde(conf, output_dir=options.out_dir) test = Test(problem=problem, state=state, conf=conf, options=options) return test def test_save_ebc(self): name = op.join(self.options.out_dir, op.splitext(op.basename(__file__))[0]) self.problem.save_ebc(name + '_ebcs_f.vtk', force=True) self.problem.save_ebc(name + '_ebcs.vtk', default=-1, force=False) return True sfepy-release_2015.1/tests/test_eigenvalue_solvers.py000066400000000000000000000060051247364230400231120ustar00rootroot00000000000000import time import numpy as nm from sfepy.discrete.fem.meshio import UserMeshIO from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.solvers import Solver # Mesh dimensions. dims = nm.array([1, 1]) # Mesh resolution. shape = [21, 21] def mesh_hook(mesh, mode): """ Generate the block mesh. """ if mode == 'read': mesh = gen_block_mesh(dims, shape, [0, 0], name='user_block', verbose=False) return mesh elif mode == 'write': pass filename_mesh = UserMeshIO(mesh_hook) regions = { 'Omega' : 'all', 'Gamma' : ('vertices of surface', 'facet'), } fields = { 'temperature' : ('real', 1, 'Omega', 1), } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } ebcs = { 't' : ('Gamma', {'t.0' : 0.0}), } integrals = { 'i' : 2, } equations = { 'eq' : 'dw_laplace.i.Omega(s, t) = 0' } solvers = { 'evp0' : ('eig.scipy', { 'method' : 'eig', 'maxiter' : 100, }), 'evp0h' : ('eig.scipy', { 'method' : 'eigh', 'maxiter' : 100, }), 'evp1' : ('eig.sgscipy', {}), 'evp2' : ('eig.scipy_lobpcg', { 'i_max' : 100, 'largest' : False, }), 'evp3' : ('eig.pysparse', { 'i_max' : 100, 'eps_a' : 1e-10, 'strategy' : 0, }), } eigs_expected = nm.array([0.04904454, 0.12170685, 0.12170685, 0.19257998, 0.24082108]) from sfepy.base.testing import TestCommon class Test(TestCommon): can_fail = ['eig.pysparse'] @staticmethod def from_conf(conf, options): from sfepy.discrete import Problem pb = Problem.from_conf(conf, init_solvers=False) pb.time_update() mtx = pb.equations.evaluate(mode='weak', dw_mode='matrix', asm_obj=pb.mtx_a) test = Test(mtx=mtx, conf=conf, options=options) return test def _list_eigenvalue_solvers(self, confs): d = [] for key, val in confs.iteritems(): if val.kind.find('eig.') == 0: d.append(val) d.sort(key=lambda a: a.name) return d def test_eigenvalue_solvers(self): eig_confs = self._list_eigenvalue_solvers(self.conf.solvers) n_eigs = 5 ok = True tt = [] for eig_conf in eig_confs: self.report(eig_conf.name) eig_solver = Solver.any_from_conf(eig_conf) t0 = time.clock() eigs, vecs = eig_solver(self.mtx, n_eigs=n_eigs, eigenvectors=True) tt.append((' '.join((eig_conf.name, eig_conf.kind)), time.clock() - t0)) self.report(eigs) _ok = nm.allclose(eigs.real, eigs_expected, rtol=0.0, atol=1e-8) ok = ok and (_ok or (eig_conf.kind in self.can_fail)) tt.sort(key=lambda x: x[1]) self.report('solution times:') for row in tt: self.report('%.2f [s]' % row[1], ':', row[0]) return ok sfepy-release_2015.1/tests/test_elasticity_small_strain.py000066400000000000000000000120141247364230400241300ustar00rootroot00000000000000# 10.07.2007, c # last revision: 25.03.2008 from sfepy import data_dir filename_meshes = ['/meshes/3d/cube_medium_tetra.mesh', '/meshes/3d/cube_medium_tetra.mesh', '/meshes/3d/cube_medium_hexa.mesh'] filename_meshes = [data_dir + name for name in filename_meshes] all_your_bases = [1, 2, 1] filename_mesh = None field_1 = { 'name' : '3_displacement', 'dtype' : 'real', 'shape' : (3,), 'region' : 'Omega', 'approx_order' : None, } def get_pars( dim, full = False ): import numpy as nm sym = (dim + 1) * dim / 2 lam = 1e1 mu = 1e0 o = nm.array( [1.] * dim + [0.] * (sym - dim), dtype = nm.float64 ) oot = nm.outer( o, o ) if full: return lam * oot + mu * nm.diag( o + 1.0 ) else: return lam, mu material_1 = { 'name' : 'solid', 'values' : { 'lam' : get_pars( 3 )[0], 'mu' : get_pars( 3 )[1], 'Dijkl' : get_pars( 3, True ), } } material_2 = { 'name' : 'spring', 'values' : { '.pars' : {'stiffness' : 1e0, 'projection' : None}, } } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '3_displacement', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '3_displacement', 'dual' : 'u', } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_1 = { 'name' : 'Bottom', 'select' : 'vertices in (z < -0.499)', 'kind' : 'facet', } region_2 = { 'name' : 'Top', 'select' : 'vertices in (z > 0.499)', 'kind' : 'facet', } ebc_1 = { 'name' : 'Load', 'region' : 'Top', 'dofs' : {'u.2' : 0.1}, } integral_1 = { 'name' : 'i', 'order' : 2, } equations_iso = { 'balance_of_forces' : """dw_lin_elastic_iso.i.Omega( solid.lam, solid.mu, v, u ) = dw_point_lspring.i.Bottom( spring.pars, v, u )""", } equations_general = { 'balance_of_forces' : """dw_lin_elastic.i.Omega( solid.Dijkl, v, u ) = dw_point_lspring.i.Bottom( spring.pars, v, u )""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } from sfepy.base.testing import TestCommon ## # 10.07.2007, c class Test( TestCommon ): tests = ['test_get_solution', 'test_linear_terms'] ## # 10.07.2007, c def from_conf( conf, options ): return Test( conf = conf, options = options ) from_conf = staticmethod( from_conf ) ## # c: 25.03.2008, r: 25.03.2008 def test_linear_terms( self ): ok = True for sols in self.solutions: ok = ok and self.compare_vectors( sols[0], sols[1], label1 = 'isotropic', label2 = 'general' ) return ok ## # c: 10.07.2007, r: 25.03.2008 def test_get_solution( self ): from sfepy.applications import solve_pde from sfepy.base.base import IndexedStruct import os.path as op ok = True self.solutions = [] for ii, approx_order in enumerate(all_your_bases): fname = filename_meshes[ii] self.conf.filename_mesh = fname fields = {'field_1' : { 'name' : '3_displacement', 'dtype' : 'real', 'shape' : (3,), 'region' : 'Omega', 'approx_order' : approx_order, } } self.conf.edit('fields', fields) self.report( 'mesh: %s, base: %s' % (fname, approx_order) ) status = IndexedStruct() self.report( 'isotropic' ) self.conf.equations = self.conf.equations_iso problem, state1 = solve_pde(self.conf, nls_status=status, save_results=False) converged = status.condition == 0 ok = ok and converged self.report( 'converged: %s' % converged ) self.report( 'general' ) self.conf.equations = self.conf.equations_general problem, state2 = solve_pde(self.conf, nls_status=status, save_results=False) converged = status.condition == 0 ok = ok and converged self.report( 'converged: %s' % converged ) self.solutions.append((state1(), state2())) name = op.join(self.options.out_dir, '_'.join(('test_elasticity_small_strain', op.splitext(op.basename(fname))[0], '%d' % approx_order)) + '.vtk') problem.save_state(name, state1) ## trunk = op.join( self.options.out_dir, ## op.splitext( op.basename( fname ) )[0] ) ## problem.save_field_meshes( trunk ) ## problem.save_regions( trunk ) return ok sfepy-release_2015.1/tests/test_fem.py000066400000000000000000000272611247364230400177670ustar00rootroot00000000000000import os.path as op import numpy as nm import sfepy from sfepy.base.testing import TestCommon test_bases = { '2_3_P1' : nm.array([[[ 1. , 0. , 0. ]], [[ 0. , 1. , 0. ]], [[ 0. , 0. , 1. ]], [[ 0.6, 0.2, 0.2]]]), '2_3_P1_grad' : nm.array([[[-1., 1., 0.], [-1., 0., 1.]], [[-1., 1., 0.], [-1., 0., 1.]], [[-1., 1., 0.], [-1., 0., 1.]], [[-1., 1., 0.], [-1., 0., 1.]]]), '2_4_Q1' : nm.array([[[ 1. , 0. , 0. , 0. ]], [[ 0. , 1. , 0. , 0. ]], [[ 0. , 0. , 1. , 0. ]], [[ 0. , 0. , 0. , 1. ]], [[ 0.64, 0.16, 0.04, 0.16]]]), '2_4_Q1_grad' : nm.array([[[-1. , 1. , 0. , -0. ], [-1. , -0. , 0. , 1. ]], [[-1. , 1. , 0. , -0. ], [-0. , -1. , 1. , 0. ]], [[-0. , 0. , 1. , -1. ], [-0. , -1. , 1. , 0. ]], [[-0. , 0. , 1. , -1. ], [-1. , -0. , 0. , 1. ]], [[-0.8, 0.8, 0.2, -0.2], [-0.8, -0.2, 0.2, 0.8]]]), '3_4_P0' : nm.ones((5, 1, 1)), '3_4_P0_grad' : nm.zeros((5, 3, 1)), '3_8_Q0' : nm.ones((9, 1, 1)), '3_8_Q0_grad' : nm.zeros((9, 3, 1)), '3_8_Q1' : nm.array([[[ 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[ 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[ 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. ]], [[ 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. ]], [[ 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. ]], [[ 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. ]], [[ 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. ]], [[ 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. ]], [[ 0.512, 0.128, 0.032, 0.128, 0.128, 0.032, 0.008, 0.032]]]), '3_8_Q1_grad' : nm.array([[[-1. , 1. , 0. , -0. , -0. , 0. , 0. , -0. ], [-1. , -0. , 0. , 1. , -0. , -0. , 0. , 0. ], [-1. , -0. , -0. , -0. , 1. , 0. , 0. , 0. ]], [[-1. , 1. , 0. , -0. , -0. , 0. , 0. , -0. ], [-0. , -1. , 1. , 0. , -0. , -0. , 0. , 0. ], [-0. , -1. , -0. , -0. , 0. , 1. , 0. , 0. ]], [[-0. , 0. , 1. , -1. , -0. , 0. , 0. , -0. ], [-0. , -1. , 1. , 0. , -0. , -0. , 0. , 0. ], [-0. , -0. , -1. , -0. , 0. , 0. , 1. , 0. ]], [[-0. , 0. , 1. , -1. , -0. , 0. , 0. , -0. ], [-1. , -0. , 0. , 1. , -0. , -0. , 0. , 0. ], [-0. , -0. , -0. , -1. , 0. , 0. , 0. , 1. ]], [[-0. , 0. , 0. , -0. , -1. , 1. , 0. , -0. ], [-0. , -0. , 0. , 0. , -1. , -0. , 0. , 1. ], [-1. , -0. , -0. , -0. , 1. , 0. , 0. , 0. ]], [[-0. , 0. , 0. , -0. , -1. , 1. , 0. , -0. ], [-0. , -0. , 0. , 0. , -0. , -1. , 1. , 0. ], [-0. , -1. , -0. , -0. , 0. , 1. , 0. , 0. ]], [[-0. , 0. , 0. , -0. , -0. , 0. , 1. , -1. ], [-0. , -0. , 0. , 0. , -0. , -1. , 1. , 0. ], [-0. , -0. , -1. , -0. , 0. , 0. , 1. , 0. ]], [[-0. , 0. , 0. , -0. , -0. , 0. , 1. , -1. ], [-0. , -0. , 0. , 0. , -1. , -0. , 0. , 1. ], [-0. , -0. , -0. , -1. , 0. , 0. , 0. , 1. ]], [[-0.64, 0.64, 0.16, -0.16, -0.16, 0.16, 0.04, -0.04], [-0.64, -0.16, 0.16, 0.64, -0.16, -0.04, 0.04, 0.16], [-0.64, -0.16, -0.04, -0.16, 0.64, 0.16, 0.04, 0.16]]]), '3_4_P2' : nm.array([[[ 1. , -0. , -0. , -0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , 1. , -0. , -0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , -0. , 1. , -0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , -0. , -0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0.08, -0.12, -0.12, -0.12, 0.32, 0.16, 0.32, 0.32, 0.16, 0.16]]]), '3_4_P2_grad' : nm.array([[[-3. , -1. , 0. , 0. , 4. , 0. , 0. , 0. , 0. , 0. ], [-3. , 0. , -1. , 0. , 0. , 0. , 4. , 0. , 0. , 0. ], [-3. , 0. , 0. , -1. , 0. , 0. , 0. , 4. , 0. , 0. ]], [[ 1. , 3. , 0. , 0. , -4. , 0. , 0. , 0. , 0. , 0. ], [ 1. , 0. , -1. , 0. , -4. , 4. , 0. , 0. , 0. , 0. ], [ 1. , 0. , 0. , -1. , -4. , 0. , 0. , 0. , 4. , 0. ]], [[ 1. , -1. , 0. , 0. , 0. , 4. , -4. , 0. , 0. , 0. ], [ 1. , 0. , 3. , 0. , 0. , 0. , -4. , 0. , 0. , 0. ], [ 1. , 0. , 0. , -1. , 0. , 0. , -4. , 0. , 0. , 4. ]], [[ 1. , -1. , 0. , 0. , 0. , 0. , 0. , -4. , 4. , 0. ], [ 1. , 0. , -1. , 0. , 0. , 0. , 0. , -4. , 0. , 4. ], [ 1. , 0. , 0. , 3. , 0. , 0. , 0. , -4. , 0. , 0. ]], [[-0.6, -0.2, 0. , 0. , 0.8, 0.8, -0.8, -0.8, 0.8, 0. ], [-0.6, 0. , -0.2, 0. , -0.8, 0.8, 0.8, -0.8, 0. , 0.8], [-0.6, 0. , 0. , -0.2, -0.8, 0. , -0.8, 0.8, 0.8, 0.8]]]), '3_4_P2B' : nm.array([[[ 1. , -0. , -0. , -0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , 1. , -0. , -0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , -0. , 1. , -0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0. , -0. , -0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]], [[-0.16192, -0.20192, -0.20192, -0.20192, 0.23808, 0.07808, 0.23808, 0.23808, 0.07808, 0.07808, 0.8192 ]]]), '3_4_P2B_grad' : nm.array([[[-3. , -1. , 0. , 0. , 4. , 0. , 0. , 0. , 0. , 0. , 0. ], [-3. , 0. , -1. , 0. , 0. , 0. , 4. , 0. , 0. , 0. , 0. ], [-3. , 0. , 0. , -1. , 0. , 0. , 0. , 4. , 0. , 0. , 0. ]], [[ 1. , 3. , 0. , 0. , -4. , 0. , 0. , 0. , 0. , 0. , 0. ], [ 1. , 0. , -1. , 0. , -4. , 4. , 0. , 0. , 0. , 0. , 0. ], [ 1. , 0. , 0. , -1. , -4. , 0. , 0. , 0. , 4. , 0. , 0. ]], [[ 1. , -1. , 0. , 0. , 0. , 4. , -4. , 0. , 0. , 0. , 0. ], [ 1. , 0. , 3. , 0. , 0. , 0. , -4. , 0. , 0. , 0. , 0. ], [ 1. , 0. , 0. , -1. , 0. , 0. , -4. , 0. , 0. , 4. , 0. ]], [[ 1. , -1. , 0. , 0. , 0. , 0. , 0. , -4. , 4. , 0. , 0. ], [ 1. , 0. , -1. , 0. , 0. , 0. , 0. , -4. , 0. , 4. , 0. ], [ 1. , 0. , 0. , 3. , 0. , 0. , 0. , -4. , 0. , 0. , 0. ]], [[-0.8048, -0.4048, -0.2048, -0.2048, 0.5952, 0.5952, -1.0048, -1.0048, 0.5952, -0.2048, 2.048 ], [-0.8048, -0.2048, -0.4048, -0.2048, -1.0048, 0.5952, 0.5952, -1.0048, -0.2048, 0.5952, 2.048 ], [-0.8048, -0.2048, -0.2048, -0.4048, -1.0048, -0.2048, -1.0048, 0.5952, 0.5952, 0.5952, 2.048 ]]]), } class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.discrete.fem.geometry_element import GeometryElement gels = {} for key in ['2_3', '2_4', '3_4', '3_8']: gel = GeometryElement(key) gels[key] = gel return Test(conf=conf, options=options, gels=gels) def test_base_functions_values(self): """ Compare base function values and their gradients with correct data. Also test that sum of values over all element nodes gives one. """ from sfepy.base.base import ordered_iteritems from sfepy.discrete.fem.poly_spaces import PolySpace ok = True for key, val in ordered_iteritems(test_bases): gel = self.gels[key[:3]] diff = key[-4:] == 'grad' order = int(key[5]) force_bubble = key[6:7] == 'B' ps = PolySpace.any_from_args('aux', gel, order, base='lagrange', force_bubble=force_bubble) dim = ps.geometry.dim coors = nm.r_[ps.geometry.coors, [[0.2] * dim]] bf = ps.eval_base(coors, diff=diff) _ok = nm.allclose(val, bf, rtol=0.0, atol=1e-14) ## if not _ok: ## nm.set_printoptions(threshold=1000000, linewidth=65) ## print bf.__repr__() if not diff: _ok = _ok and nm.allclose(bf.sum(axis=2), 1.0, rtol=0.0, atol=1e-14) self.report('%s: %s' % (key, _ok)) ok = ok and _ok return ok def test_base_functions_delta(self): """ Test :math:`\delta` property of base functions evaluated in the reference element nodes. """ from sfepy.base.base import ordered_iteritems from sfepy.discrete.fem.poly_spaces import PolySpace ok = True for key, gel in ordered_iteritems(self.gels): for order in range(11): ps = PolySpace.any_from_args('aux', gel, order, base='lagrange', force_bubble=False) bf = ps.eval_base(ps.node_coors) _ok = nm.allclose(nm.eye(ps.n_nod), bf.squeeze(), rtol=0.0, atol=(order + 1) * 1e-14) self.report('%s order %d (n_nod: %d): %s' % (key, order, ps.n_nod, _ok)) if not _ok: import pdb; pdb.set_trace() ok = ok and _ok return ok sfepy-release_2015.1/tests/test_functions.py000066400000000000000000000114651247364230400212270ustar00rootroot00000000000000# c: 14.04.2008, r: 14.04.2008 import numpy as nm from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/square_unit_tri.mesh' def get_pars(ts, coors, mode=None, extra_arg=None, equations=None, term=None, problem=None, **kwargs): if mode == 'special': if extra_arg == 'hello!': ic = 0 else: ic = 1 coors = problem.get_mesh_coors() return {('x_%s' % ic) : coors[:,ic]} def get_p_edge(ts, coors, bc=None, **kwargs): if bc.name == 'p_left': return nm.sin(nm.pi * coors[:,1]) else: return nm.cos(nm.pi * coors[:,1]) def get_circle(coors, domain=None): r = nm.sqrt(coors[:,0]**2.0 + coors[:,1]**2.0) return nm.where(r < 0.2)[0] functions = { 'get_pars1' : (lambda ts, coors, mode=None, **kwargs: get_pars(ts, coors, mode, extra_arg='hello!', **kwargs),), 'get_p_edge' : (get_p_edge,), 'get_circle' : (get_circle,), } # Just another way of adding a function, besides 'functions' keyword. function_1 = { 'name' : 'get_pars2', 'function' : lambda ts, coors, mode=None, **kwargs: get_pars(ts, coors, mode, extra_arg='hi!', **kwargs), } materials = { 'mf1' : (None, 'get_pars1'), 'mf2' : 'get_pars2', # Dot denotes a special value, that is not propagated to all QP. 'mf3' : ({'a' : 10.0, 'b' : 2.0, '.c' : 'ahoj'},), } fields = { 'pressure' : (nm.float64, 1, 'Omega', 2), } variables = { 'p' : ('unknown field', 'pressure', 0), 'q' : ('test field', 'pressure', 'p'), } wx = 0.499 regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -%.3f)' % wx, 'facet'), 'Right' : ('vertices in (x > %.3f)' % wx, 'facet'), 'Circle' : 'vertices by get_circle', } ebcs = { 'p_left' : ('Left', {'p.all' : 'get_p_edge'}), 'p_right' : ('Right', {'p.all' : 'get_p_edge'}), } equations = { 'e1' : """dw_laplace.2.Omega( mf3.a, q, p ) = 0""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', } from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon class Test( TestCommon ): def from_conf( conf, options ): from sfepy.discrete import Problem problem = Problem.from_conf(conf) test = Test(problem = problem, conf = conf, options = options) return test from_conf = staticmethod( from_conf ) def test_material_functions(self): from sfepy.discrete import Material problem = self.problem conf = problem.conf ts = problem.get_default_ts(step=0) conf_mat1 = conf.get_item_by_name('materials', 'mf1') mat1 = Material.from_conf(conf_mat1, problem.functions) mat1.time_update(ts, None, mode='normal', problem=problem) coors = problem.domain.get_mesh_coors() assert_(nm.all(coors[:,0] == mat1.get_data(None, None, 'x_0'))) conf_mat2 = conf.get_item_by_name('materials', 'mf2') mat2 = Material.from_conf(conf_mat2, problem.functions) mat2.time_update(ts, None, mode='normal', problem=problem) assert_(nm.all(coors[:,1] == mat2.get_data(None, None, 'x_1'))) materials = problem.get_materials() materials.time_update(ts, problem.equations, mode='normal', problem=problem) mat3 = materials['mf3'] key = mat3.get_keys(region_name='Omega')[0] assert_(nm.all(mat3.get_data(key, 0, 'a') == 10.0)) assert_(nm.all(mat3.get_data(key, 0, 'b') == 2.0)) assert_(mat3.get_data(None, None, 'c') == 'ahoj') return True def test_ebc_functions(self): import os.path as op problem = self.problem problem.set_equations(self.conf.equations) problem.time_update() state = problem.solve() name = op.join(self.options.out_dir, op.splitext(op.basename(__file__))[0] + '_ebc.vtk') problem.save_state(name, state) ok = True domain = problem.domain vec = state() iv = domain.regions['Left'].get_vertices(0) coors = domain.get_mesh_coors()[iv] ok = ok and self.compare_vectors(vec[iv], nm.sin(nm.pi * coors[:,1]), label1='state_left', label2='bc_left') iv = domain.regions['Right'].get_vertices(0) coors = domain.get_mesh_coors()[iv] ok = ok and self.compare_vectors(vec[iv], nm.cos(nm.pi * coors[:,1]), label1='state_right', label2='bc_right') return ok def test_region_functions(self): import os.path as op problem = self.problem name = op.join(self.options.out_dir, op.splitext(op.basename(__file__))[0]) problem.save_regions(name, ['Circle']) return True sfepy-release_2015.1/tests/test_high_level.py000066400000000000000000000126731247364230400213270ustar00rootroot00000000000000import time import os.path as op import numpy as nm from sfepy.base.testing import TestCommon def fix_u_fun(ts, coors, bc=None, problem=None, extra_arg=None): return nm.zeros_like(coors) class Test(TestCommon): @staticmethod def from_conf(conf, options): import sfepy from sfepy.discrete.fem import Mesh, FEDomain, Field mesh = Mesh.from_file('meshes/2d/rectangle_tri.mesh', prefix_dir=sfepy.data_dir) domain = FEDomain('domain', mesh) dim = domain.shape.dim min_x, max_x = domain.get_mesh_bounding_box()[:,0] eps = 1e-8 * (max_x - min_x) omega = domain.create_region('Omega', 'all') gamma1 = domain.create_region('Gamma1', 'vertices in x < %.10f' % (min_x + eps), 'facet') gamma2 = domain.create_region('Gamma2', 'vertices in x > %.10f' % (max_x - eps), 'facet') field = Field.from_args('fu', nm.float64, 'vector', omega, approx_order=2) test = Test(conf=conf, options=options, dim=dim, omega=omega, gamma1=gamma1, gamma2=gamma2, field=field) return test def test_term_evaluation(self): from sfepy.discrete import Integral, FieldVariable from sfepy.terms.terms import Term integral = Integral('i', order=3) u = FieldVariable('u', 'parameter', self.field, primary_var_name='(set-to-None)') term = Term.new('d_volume(u)', integral, self.omega, u=u) term *= 10.0 term.setup() vol = term.evaluate() self.report('volume: %.8f == 2000.0' % vol) ok = nm.allclose(vol, 2000.0, rtol=1e-15, atol=0) ## vec = t1.evaluate() # Returns vector. ## vec = t1.evaluate(u=u_vec) # Returns the same vector. ## mtx = t1.evaluate(diff_var='u') # Returns matrix. ## val = t1.evaluate(v=u_vec, u=u_vec) # Forbidden - virtual variable ## # cannot have value. return ok def test_term_arithmetics(self): from sfepy.discrete import FieldVariable, Integral from sfepy.terms.terms import Term integral = Integral('i', order=3) u = FieldVariable('u', 'parameter', self.field, primary_var_name='(set-to-None)') t1 = Term.new('d_volume(u)', integral, self.omega, u=u) t2 = Term.new('d_surface(u)', integral, self.gamma1, u=u) expr = 2.2j * (t1 * 5.5 - 3j * t2) * 0.25 ok = len(expr) == 2 if not ok: self.report('wrong expression length!') _ok = nm.allclose(expr[0].sign, 3.025j, rtol=1e-15, atol=0) if not _ok: self.report('wrong sign of the first term!') ok = ok and _ok _ok = nm.allclose(expr[1].sign, 1.65, rtol=1e-15, atol=0) if not _ok: self.report('wrong sign of the second term!') ok = ok and _ok return ok def test_variables(self): from sfepy.discrete import FieldVariable u = FieldVariable('u', 'parameter', self.field, primary_var_name='(set-to-None)') u.set_constant(1.0) vec = u() # Nodal values. ok = nm.allclose(vec, 1.0) ## print u() ## print u.get_vector() # Coefficient vector w.r.t. the field space basis. ## print u(gamma1) ## print u.get_vector(gamma2) return ok def test_solving(self): from sfepy.base.base import IndexedStruct from sfepy.discrete import (FieldVariable, Material, Problem, Function, Equation, Equations, Integral) from sfepy.discrete.conditions import Conditions, EssentialBC from sfepy.terms import Term from sfepy.solvers.ls import ScipyDirect from sfepy.solvers.nls import Newton u = FieldVariable('u', 'unknown', self.field) v = FieldVariable('v', 'test', self.field, primary_var_name='u') m = Material('m', lam=1.0, mu=1.0) f = Material('f', val=[[0.02], [0.01]]) bc_fun = Function('fix_u_fun', fix_u_fun, extra_args={'extra_arg' : 'hello'}) fix_u = EssentialBC('fix_u', self.gamma1, {'u.all' : bc_fun}) shift_u = EssentialBC('shift_u', self.gamma2, {'u.0' : 0.1}) integral = Integral('i', order=3) t1 = Term.new('dw_lin_elastic_iso(m.lam, m.mu, v, u)', integral, self.omega, m=m, v=v, u=u) t2 = Term.new('dw_volume_lvf(f.val, v)', integral, self.omega, f=f, v=v) eq = Equation('balance', t1 + t2) eqs = Equations([eq]) ls = ScipyDirect({}) nls_status = IndexedStruct() nls = Newton({}, lin_solver=ls, status=nls_status) pb = Problem('elasticity', equations=eqs, nls=nls, ls=ls) ## pb.save_regions_as_groups('regions') pb.time_update(ebcs=Conditions([fix_u, shift_u])) state = pb.solve() name = op.join(self.options.out_dir, 'test_high_level_solving.vtk') pb.save_state(name, state) ok = nls_status.condition == 0 if not ok: self.report('solver did not converge!') _ok = state.has_ebc() if not _ok: self.report('EBCs violated!') ok = ok and _ok return ok sfepy-release_2015.1/tests/test_homogenization_perfusion.py000066400000000000000000000067571247364230400243530ustar00rootroot00000000000000input_name = '../examples/homogenization/perfusion_micro.py' from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf = conf, options = options) def compare_scalars(s1, s2, l1= 's1', l2 = 's2', allowed_error = 1e-8): diff = abs(s1 - s2) TestCommon.report( '|%s - %s|: %e' % (l1, l2, diff)) if diff > allowed_error: return False else: return True compare_scalars = staticmethod(compare_scalars) def test_solution(self): from sfepy.base.base import Struct from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.homogenization.homogen_app import HomogenizationApp #import numpy as nm import os.path as op ok = True required, other = get_standard_keywords() required.remove('equations') print input_name full_name = op.join(op.dirname(__file__), input_name) test_conf = ProblemConf.from_file(full_name, required, other) options = Struct(output_filename_trunk=None, save_ebc=False, save_ebc_nodes=False, save_regions=False, save_field_meshes=False, save_regions_as_groups=False, solve_not=False) test_conf.options['output_dir'] = './output-tests' app = HomogenizationApp(test_conf, options, 'homogen:' ) coefs = app() aerr = 1.0e-9 self.report('allowed error: abs = %e' % (aerr, )) # G^A = G^B ? ok = ok and self.compare_scalars(coefs.GA, coefs.GB,\ 'G^A', 'G^B', aerr) # F^{A+} + F^{B+} = -1/h \int_{\partial_+Y_m} ? aux = 1.0 / test_conf.param_h * coefs.volume['bYMp'] ok = ok and self.compare_scalars(coefs.FpA + coefs.FpB, -aux, 'F^{A+} + F^{B+}', '-bYM^+', aerr) # F^{A-} + F^{B-} = -1/h \int_{\partial_-Y_m} ? aux = 1.0 / test_conf.param_h * coefs.volume['bYMm'] ok = ok and self.compare_scalars(coefs.FmA + coefs.FmB, -aux, 'F^{A-} + F^{B-}', '-bYM^-', aerr) # symmetry of H ? ok = ok and self.compare_scalars(coefs.Hpm, coefs.Hmp, 'H^{+-}', 'H^{-+}', aerr) # E = -F ? ok = ok and self.compare_scalars(coefs.EmA, -coefs.FmA, 'E^{A-}', '-F^{A-}',aerr) ok = ok and self.compare_scalars(coefs.EpA, -coefs.FpA, 'E^{A+}', '-F^{A+}',aerr) ok = ok and self.compare_scalars(coefs.EmB, -coefs.FmB, 'E^{B-}', '-F^{B-}',aerr) ok = ok and self.compare_scalars(coefs.EpB, -coefs.FpB, 'E^{B+}', '-F^{B+}',aerr) # S = S_test ? coefsd = coefs.to_dict() compare = [] for ii in coefsd.iterkeys(): if 'S_test' in ii: ch = ii[6] io = ii[-1] compare.append((ii, 'S%s_%s' % (ch, io))) for s1, s2 in compare: ok = ok and self.compare_vectors(coefsd[s1], -coefsd[s2], label1='S_test', label2='S', allowed_error=aerr) return ok sfepy-release_2015.1/tests/test_hyperelastic_tlul.py000066400000000000000000000056731247364230400227570ustar00rootroot00000000000000input_names = {'TL': '../examples/large_deformation/hyperelastic.py', 'UL': '../examples/large_deformation/hyperelastic_ul.py', 'ULM': '../examples/large_deformation/hyperelastic_ul_up.py'} output_name_trunk = 'test_hyperelastic_' from sfepy.base.testing import TestCommon from tests_basic import NLSStatus class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf = conf, options = options) def test_solution(self): from sfepy.base.base import Struct from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.applications import solve_pde, assign_standard_hooks import numpy as nm import os.path as op solutions = {} ok = True for hp, pb_filename in input_names.iteritems(): required, other = get_standard_keywords() input_name = op.join(op.dirname(__file__), pb_filename) test_conf = ProblemConf.from_file(input_name, required, other) name = output_name_trunk + hp solver_options = Struct(output_filename_trunk=name, output_format='vtk', save_ebc=False, save_ebc_nodes=False, save_regions=False, save_regions_as_groups=False, save_field_meshes=False, solve_not=False) assign_standard_hooks(self, test_conf.options.get, test_conf) self.report( 'hyperelastic formulation: %s' % (hp, ) ) status = NLSStatus(conditions=[]) pb, state = solve_pde(test_conf, solver_options, nls_status=status, output_dir=self.options.out_dir, step_hook=self.step_hook, post_process_hook=self.post_process_hook, post_process_hook_final=self.post_process_hook_final) converged = status.condition == 0 ok = ok and converged solutions[hp] = state.get_parts()['u'] self.report('%s solved' % input_name) rerr = 1.0e-3 aerr = nm.linalg.norm(solutions['TL'], ord=None) * rerr self.report('allowed error: rel = %e, abs = %e' % (rerr, aerr)) ok = ok and self.compare_vectors(solutions['TL'], solutions['UL'], label1='TLF', label2='ULF', allowed_error=rerr) ok = ok and self.compare_vectors(solutions['UL'], solutions['ULM'], label1='ULF', label2='ULF_mixed', allowed_error=rerr) return ok sfepy-release_2015.1/tests/test_input_acoustics.py000066400000000000000000000002321247364230400224210ustar00rootroot00000000000000input_name = '../examples/acoustics/acoustics.py' output_name = 'test_acoustics.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_acoustics3d.py000066400000000000000000000002301247364230400226460ustar00rootroot00000000000000input_name = '../examples/acoustics/acoustics3d.py' output_name = 'test_acoustics3d' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_active_fibres.py000066400000000000000000000012351247364230400232350ustar00rootroot00000000000000input_name = '../examples/large_deformation/active_fibres.py' output_name_trunk = 'test_active_fibres' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): @staticmethod def from_conf(conf, options): return TestInputEvolutionary.from_conf(conf, options, cls=Test) def check_conditions(self, conditions): """ Special-case the first iteration, as the solver converges slowly there. """ ok = (conditions[1:] == 0).all() ok = ok and (conditions[0] == 1) if not ok: self.report('nls stopping conditions:') self.report(conditions) return ok sfepy-release_2015.1/tests/test_input_biot.py000066400000000000000000000002141247364230400213610ustar00rootroot00000000000000input_name = '../examples/biot/biot.py' output_name = 'test_biot.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_biot_npbc.py000066400000000000000000000002251247364230400223650ustar00rootroot00000000000000input_name = '../examples/biot/biot_npbc.py' output_name = 'test_biot_npbc.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_biot_npbc_lagrange.py000066400000000000000000000002451247364230400242270ustar00rootroot00000000000000input_name = '../examples/biot/biot_npbc_lagrange.py' output_name = 'test_biot_npbc_lagrange.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_cube.py000066400000000000000000000002201247364230400213370ustar00rootroot00000000000000input_name = '../examples/diffusion/cube.py' output_name = 'test_cube.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_elastic_contact_planes.py000066400000000000000000000002721247364230400251310ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/elastic_contact_planes.py' output_name = 'test_elastic_contact_planes.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_elastic_contact_sphere.py000066400000000000000000000002721247364230400251350ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/elastic_contact_sphere.py' output_name = 'test_elastic_contact_sphere.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_elastic_shifted_periodic.py000066400000000000000000000002761247364230400254440ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/elastic_shifted_periodic.py' output_name = 'test_elastic_shifted_periodic.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_its2D_2.py000066400000000000000000000002341247364230400216340ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/its2D_2.py' output_name = 'test_its2D_2.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_laplace_1d.py000066400000000000000000000002321247364230400224110ustar00rootroot00000000000000input_name = '../examples/diffusion/laplace_1d.py' output_name = 'test_laplace_1d.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_laplace_coupling_lcbcs.py000066400000000000000000000002621247364230400250760ustar00rootroot00000000000000input_name = '../examples/diffusion/laplace_coupling_lcbcs.py' output_name = 'test_laplace_coupling_lcbcs.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_laplace_time_ebcs.py000066400000000000000000000003031247364230400240360ustar00rootroot00000000000000input_name = '../examples/diffusion/laplace_time_ebcs.py' output_name_trunk = 'test_laplace_time_ebcs' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): pass sfepy-release_2015.1/tests/test_input_linear_elastic.py000066400000000000000000000002541247364230400234060ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic.py' output_name = 'test_linear_elastic.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_linear_elastic_damping.py000066400000000000000000000003271247364230400251060ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic_damping.py' output_name_trunk = 'test_linear_elastic_damping' from tests_basic import TestInputEvolutionary class Test( TestInputEvolutionary ): pass sfepy-release_2015.1/tests/test_input_linear_elastic_iga.py000066400000000000000000000002621247364230400242250ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic_iga.py' output_name = 'test_linear_elastic_iga.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_linear_elastic_mM.py000066400000000000000000000002571247364230400240420ustar00rootroot00000000000000input_name = '../examples/homogenization/linear_elastic_mM.py' output_name = 'test_linear_elastic_mM.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_linear_elastic_probes.py000066400000000000000000000002701247364230400247560ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic_probes.py' output_name = 'test_linear_elastic_probes.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_linear_elastic_tractions.py000066400000000000000000000002761247364230400255000ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic_tractions.py' output_name = 'test_linear_elastic_tractions.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_linear_elastic_up.py000066400000000000000000000002621247364230400241110ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_elastic_up.py' output_name = 'test_linear_elastic_up.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_linear_viscoelastic.py000066400000000000000000000003171247364230400244520ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/linear_viscoelastic.py' output_name_trunk = 'test_linear_viscoelastic' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): pass sfepy-release_2015.1/tests/test_input_material_nonlinearity.py000066400000000000000000000002701247364230400250170ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/material_nonlinearity.py' output_name = 'test_material_nonlinearity.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_navier_stokes.py000066400000000000000000000002461247364230400233050ustar00rootroot00000000000000input_name = '../examples/navier_stokes/navier_stokes.py' output_name = 'test_navier_stokes.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_navier_stokes2d.py000066400000000000000000000002501247364230400235260ustar00rootroot00000000000000input_name = '../examples/navier_stokes/navier_stokes2d.py' output_name = 'test_navier_stokes2d.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_navier_stokes2d_iga.py000066400000000000000000000002601247364230400243470ustar00rootroot00000000000000input_name = '../examples/navier_stokes/navier_stokes2d_iga.py' output_name = 'test_navier_stokes2d_iga.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_perfusion_tl.py000066400000000000000000000003011247364230400231320ustar00rootroot00000000000000input_name = '../examples/large_deformation/perfusion_tl.py' output_name_trunk = 'test_perfusion_tl' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): pass sfepy-release_2015.1/tests/test_input_piezo.py000066400000000000000000000025751247364230400215660ustar00rootroot00000000000000input_name = '../examples/piezo_elasticity/piezo.py' output_name = 'test_piezo.vtk' from tests_basic import TestInput class Test( TestInput ): def from_conf( conf, options ): return TestInput.from_conf( conf, options, cls = Test ) from_conf = staticmethod( from_conf ) def test_ebc( self ): import numpy as nm from sfepy.discrete import Problem pb = Problem.from_conf(self.test_conf) pb.time_update() vvs = pb.get_variables() setv = vvs.set_state_part make_full = vvs.make_full_vec svec_u = nm.ones( (vvs.adi.n_dof['u'],), dtype = nm.float64 ) svec_phi = nm.empty( (vvs.adi.n_dof['phi'],), dtype = nm.float64 ) svec_phi.fill( 2.0 ) svec = vvs.create_stripped_state_vector() setv( svec, svec_u, 'u', stripped = True ) setv( svec, svec_phi, 'phi', stripped = True ) vec = make_full( svec ) ii_u = vvs.di.indx['u'].start + vvs['u'].eq_map.eqi ii_phi = vvs.di.indx['phi'].start + vvs['phi'].eq_map.eqi ok_ebc = vvs.has_ebc( vec ) ok_u = nm.all( vec[ii_u] == svec_u ) ok_phi = nm.all( vec[ii_phi] == svec_phi ) msg = '%s: %s' self.report( msg % ('ebc', ok_ebc) ) self.report( msg % ('u', ok_u) ) self.report( msg % ('phi', ok_phi) ) ok = ok_ebc and ok_u and ok_phi return ok sfepy-release_2015.1/tests/test_input_poisson.py000066400000000000000000000002261247364230400221210ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson.py' output_name = 'test_poisson.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_poisson_field_dependent_material.py000066400000000000000000000003411247364230400271660ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson_field_dependent_material.py' output_name_trunk = 'test_poisson_field_dependent_material' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): pass sfepy-release_2015.1/tests/test_input_poisson_functions.py000066400000000000000000000002501247364230400242060ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson_functions.py' output_name = 'test_poisson_functions.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_poisson_iga.py000066400000000000000000000002341247364230400227400ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson_iga.py' output_name = 'test_poisson_iga.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_poisson_neumann.py000066400000000000000000000002441247364230400236420ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson_neumann.py' output_name = 'test_poisson_neumann.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_poisson_periodic_boundary_condition.py000066400000000000000000000003471247364230400277540ustar00rootroot00000000000000input_name = '../examples/diffusion/poisson_periodic_boundary_condition.py' output_name_trunk = 'test_poisson_periodic_boundary_condition' from tests_basic import TestInputEvolutionary class Test(TestInputEvolutionary): pass sfepy-release_2015.1/tests/test_input_prestress_fibres.py000066400000000000000000000002571247364230400240170ustar00rootroot00000000000000input_name = '../examples/linear_elasticity/prestress_fibres.py' output_name = 'test_prestress_fibres.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_sinbc.py000066400000000000000000000002611247364230400215240ustar00rootroot00000000000000# c: 20.03.2008, r: 20.03.2008 input_name = '../examples/diffusion/sinbc.py' output_name = 'test_sinbc.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_stabilized_navier_stokes.py000066400000000000000000000002741247364230400255200ustar00rootroot00000000000000input_name = '../examples/navier_stokes/stabilized_navier_stokes.py' output_name = 'test_stabilized_navier_stokes.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_stokes.py000066400000000000000000000003051247364230400217350ustar00rootroot00000000000000# 05.06.2007, c # last revision: 05.06.2007 input_name = '../examples/navier_stokes/stokes.py' output_name = 'test_stokes.vtk' from tests_basic import TestInput class Test( TestInput ): pass sfepy-release_2015.1/tests/test_input_stokes_slip_bc.py000066400000000000000000000002461247364230400234340ustar00rootroot00000000000000input_name = '../examples/navier_stokes/stokes_slip_bc.py' output_name = 'test_stokes_slip_bc.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_thermo_elasticity.py000066400000000000000000000002601247364230400241550ustar00rootroot00000000000000input_name = '../examples/thermo_elasticity/thermo_elasticity.py' output_name = 'test_thermo_elasticity.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_thermo_elasticity_ess.py000066400000000000000000000002701247364230400250300ustar00rootroot00000000000000input_name = '../examples/thermo_elasticity/thermo_elasticity_ess.py' output_name = 'test_thermo_elasticity_ess.vtk' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_input_time_poisson.py000066400000000000000000000003321247364230400231350ustar00rootroot00000000000000# c: 06.02.2008, r: 06.02.2008 input_name = '../examples/diffusion/time_poisson.py' output_name_trunk = 'test_time_poisson' from tests_basic import TestInputEvolutionary class Test( TestInputEvolutionary ): pass sfepy-release_2015.1/tests/test_input_vibro_acoustic3d.py000066400000000000000000000002421247364230400236670ustar00rootroot00000000000000input_name = '../examples/acoustics/vibro_acoustic3d.py' output_name = 'test_vibro_acoustic3d' from tests_basic import TestInput class Test(TestInput): pass sfepy-release_2015.1/tests/test_io.py000066400000000000000000000044311247364230400176210ustar00rootroot00000000000000from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon import numpy as nm import scipy.sparse as sp import os.path as op ## # 02.07.2007, c class Test( TestCommon ): ## # 02.07.2007, c def from_conf( conf, options ): return Test( conf = conf, options = options ) from_conf = staticmethod( from_conf ) ## # c: 02.07.2007, r: 12.06.2008 def test_sparse_matrix_hdf5( self ): from sfepy.base.ioutils import write_sparse_matrix_hdf5, read_sparse_matrix_hdf5 from sfepy.base.ioutils import pt if pt is None: self.report( 'skipped (no pytables)' ) return True filename = op.join( self.options.out_dir, 'mtx.h5' ) aux = nm.random.rand( 5, 5 ) aux[1,:] = aux[:,2] = aux[3,:] = 0.0 mtx = sp.csr_matrix( aux, dtype = nm.float64 ) # self.report( 'sparse matrix:\n%s' % mtx ) self.report( 'saving matrix into %s...' % filename ) write_sparse_matrix_hdf5( filename, mtx ) self.report( 'reading...' ) mtx2 = read_sparse_matrix_hdf5( filename ) # self.report( 'read matrix:\n%s' % mtx2 ) self.report( 'difference:\n%s' % (mtx2 - mtx).__repr__() ) assert_( mtx.shape == mtx2.shape ) assert_( mtx.dtype == mtx2.dtype ) assert_( mtx.format == mtx2.format ) assert_( nm.allclose( mtx.data, mtx2.data ) ) assert_( nm.allclose( mtx.indices, mtx2.indices ) ) assert_( nm.allclose( mtx.indptr, mtx2.indptr ) ) return True ## # c: 09.07.2007, r: 12.06.2008 def test_recursive_dict_hdf5( self ): from sfepy.base.ioutils import write_dict_hdf5, read_dict_hdf5 from sfepy.base.ioutils import pt if pt is None: self.report( 'skipped (no pytables)' ) return True filename = op.join( self.options.out_dir, 'dict.h5' ) test = {'A' : 0, 'B' : {'C' : [0, 1], 'D' : {'E' : {'F' : {'G' : 2.0}}}}} self.report( '%s' % test ) self.report( 'saving into %s...' % filename ) write_dict_hdf5( filename, test ) self.report( 'reading...' ) test2 = read_dict_hdf5( filename ) self.report( '%s' % test2 ) assert_( test == test2 ) return True sfepy-release_2015.1/tests/test_laplace_unit_disk.py000066400000000000000000000064771247364230400227000ustar00rootroot00000000000000# 31.05.2007, c # last revision: 25.02.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/circle_sym.mesh' material_1 = { 'name' : 'coef', 'values' : { 'val' : 1.0, }, } material_2 = { 'name' : 'm', 'values' : { 'K' : [[1.0, 0.0], [0.0, 1.0]], }, } field_1 = { 'name' : 'a_harmonic_field', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 2, } variable_1 = { 'name' : 't', 'kind' : 'unknown field', 'field' : 'a_harmonic_field', 'order' : 0, } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'a_harmonic_field', 'dual' : 't', } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_1 = { 'name' : 'Centre', 'select' : 'vertices in (x < 1e-8) & (x > -1e-8) & (y < 1e-8) & (y > -1e-8)', 'kind' : 'vertex' } region_2 = { 'name' : 'Gamma', 'select' : 'vertices of surface', 'kind' : 'facet', } ebc_1 = { 'name' : 't_centre', 'region' : 'Centre', 'dofs' : {'t.0' : 1.0}, } ebc_2 = { 'name' : 't_gamma', 'region' : 'Gamma', 'dofs' : {'t.0' : 0.0}, } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } solution = { 't' : '- 5.0 * (x - 0.5)', } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } from sfepy.base.testing import TestCommon ## # 31.05.2007, c class Test( TestCommon ): ## # 30.05.2007, c def from_conf( conf, options ): from sfepy.applications import solve_pde problem, state = solve_pde(conf, save_results=False) test = Test(problem=problem, state=state, conf=conf, options=options) return test from_conf = staticmethod( from_conf ) ## # 31.05.2007, c # 02.10.2007 def test_boundary_fluxes( self ): from sfepy.discrete.evaluate import BasicEvaluator from sfepy.discrete import Material problem = self.problem region_names = ['Gamma'] variables = problem.get_variables() get_state = variables.get_state_part_view state = self.state.copy(deep=True) problem.time_update(ebcs={}, epbcs={}) ## problem.save_ebc( 'aux.vtk' ) state.apply_ebc() ev = BasicEvaluator( problem ) aux = ev.eval_residual(state()) field = variables['t'].field conf_m = problem.conf.get_item_by_name('materials', 'm') m = Material.from_conf(conf_m, problem.functions) ok = True for ii, region_name in enumerate( region_names ): flux_term = 'd_surface_flux.1.%s( m.K, t )' % region_name val1 = problem.evaluate(flux_term, t=variables['t'], m=m) rvec = get_state( aux, 't', True ) reg = problem.domain.regions[region_name] nods = field.get_dofs_in_region(reg, merge=True) val2 = rvec[nods].sum() # Assume 1 dof per node. eps = 1e-2 ok = ok and ((abs( val1 - val2 ) < eps)) self.report( '%d. %s: |%e - %e| = %e < %.2e'\ % (ii, region_name, val1, val2, abs( val1 - val2 ), eps) ) return ok sfepy-release_2015.1/tests/test_laplace_unit_square.py000066400000000000000000000134041247364230400232320ustar00rootroot00000000000000# 30.05.2007, c # last revision: 25.02.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/square_unit_tri.mesh' material_1 = { 'name' : 'coef', 'values' : { 'val' : 1.0, }, } material_2 = { 'name' : 'm', 'values' : { 'K' : [[1.0, 0.0], [0.0, 1.0]], }, } field_1 = { 'name' : 'a_harmonic_field', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 2, } variable_1 = { 'name' : 't', 'kind' : 'unknown field', 'field' : 'a_harmonic_field', 'order' : 0, } variable_2 = { 'name' : 's', 'kind' : 'test field', 'field' : 'a_harmonic_field', 'dual' : 't', } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_1 = { 'name' : 'Left', 'select' : 'vertices in (x < -0.499)', 'kind' : 'facet', } region_2 = { 'name' : 'Right', 'select' : 'vertices in (x > 0.499)', 'kind' : 'facet', } region_3 = { 'name' : 'Gamma', 'select' : 'vertices of surface', 'kind' : 'facet', } ebc_1 = { 'name' : 't_left', 'region' : 'Left', 'dofs' : {'t.0' : 5.0}, } ebc_2 = { 'name' : 't_right', 'region' : 'Right', 'dofs' : {'t.0' : 0.0}, } # 'Left' : ('T3', (30,), 'linear_y'), integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } solution = { 't' : '- 5.0 * (x - 0.5)', } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } lin_min, lin_max = 0.0, 2.0 ## # 31.05.2007, c def linear( bc, ts, coor, which ): vals = coor[:,which] min_val, max_val = vals.min(), vals.max() vals = (vals - min_val) / (max_val - min_val) * (lin_max - lin_min) + lin_min return vals ## # 31.05.2007, c def linear_x( bc, ts, coor ): return linear( bc, ts, coor, 0 ) def linear_y( bc, ts, coor ): return linear( bc, ts, coor, 1 ) def linear_z( bc, ts, coor ): return linear( bc, ts, coor, 2 ) from sfepy.base.testing import TestCommon ## # 30.05.2007, c class Test( TestCommon ): ## # 30.05.2007, c def from_conf( conf, options ): from sfepy.applications import solve_pde problem, state = solve_pde(conf, save_results=False) test = Test(problem=problem, state=state, conf=conf, options=options) return test from_conf = staticmethod( from_conf ) ## # 30.05.2007, c def test_solution( self ): sol = self.conf.solution vec = self.state() problem = self.problem variables = problem.get_variables() ok = True for var_name, expression in sol.iteritems(): coor = variables[var_name].field.get_coor() ana_sol = self.eval_coor_expression( expression, coor ) num_sol = variables.get_state_part_view( vec, var_name ) ret = self.compare_vectors( ana_sol, num_sol, label1 = 'analytical %s' % var_name, label2 = 'numerical %s' % var_name ) if not ret: self.report( 'variable %s: failed' % var_name ) ok = ok and ret return ok ## # c: 30.05.2007, r: 19.02.2008 def test_boundary_fluxes( self ): import os.path as op from sfepy.linalg import rotation_matrix2d from sfepy.discrete.evaluate import BasicEvaluator from sfepy.discrete import Material problem = self.problem angles = [0, 30, 45] region_names = ['Left', 'Right', 'Gamma'] values = [5.0, -5.0, 0.0] variables = problem.get_variables() get_state = variables.get_state_part_view state = self.state.copy(deep=True) problem.time_update(ebcs={}, epbcs={}) # problem.save_ebc( 'aux.vtk' ) state.apply_ebc() ev = BasicEvaluator( problem ) aux = ev.eval_residual(state()) field = variables['t'].field conf_m = problem.conf.get_item_by_name('materials', 'm') m = Material.from_conf(conf_m, problem.functions) name = op.join( self.options.out_dir, op.split( problem.domain.mesh.name )[1] + '_%02d.mesh' ) orig_coors = problem.get_mesh_coors().copy() ok = True for ia, angle in enumerate( angles ): self.report( '%d: mesh rotation %d degrees' % (ia, angle) ) problem.domain.mesh.transform_coors( rotation_matrix2d( angle ), ref_coors = orig_coors ) problem.set_mesh_coors(problem.domain.mesh.coors, update_fields=True) problem.domain.mesh.write( name % angle, io = 'auto' ) for ii, region_name in enumerate( region_names ): flux_term = 'd_surface_flux.i.%s( m.K, t )' % region_name val1 = problem.evaluate(flux_term, t=variables['t'], m=m) rvec = get_state( aux, 't', True ) reg = problem.domain.regions[region_name] nods = field.get_dofs_in_region(reg, merge=True) val2 = rvec[nods].sum() # Assume 1 dof per node. ok = ok and ((abs( val1 - values[ii] ) < 1e-10) and (abs( val2 - values[ii] ) < 1e-10)) self.report( ' %d. %s: %e == %e == %e'\ % (ii, region_name, val1, val2, values[ii]) ) # Restore original coordinates. problem.domain.mesh.transform_coors(rotation_matrix2d(0), ref_coors=orig_coors) problem.set_mesh_coors(problem.domain.mesh.coors, update_fields=True) return ok sfepy-release_2015.1/tests/test_lcbc_2d.py000066400000000000000000000040461247364230400205040ustar00rootroot00000000000000# 03.10.2007, c from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' # Whole domain $Y$. region_1000 = { 'name' : 'Y', 'select' : 'all', } # Domain $Y_1$. region_1 = { 'name' : 'Y1', 'select' : 'cells of group 1', } # Domain $Y_2$. region_2 = { 'name' : 'Y2', 'select' : 'cells of group 2', } # Domain $Y_3$. region_3 = { 'name' : 'Y3', 'select' : 'vertices in (x > %f) & (x < %f) & (y > %f) & (y < %f)'\ % (-0.3, 0.3, -0.48, -0.3), } wx = wy = 0.499 region_10 = { 'name' : 'Bottom', 'select' : 'vertices in (y < %f)' % -wy, 'kind' : 'facet', } region_11 = { 'name' : 'Top', 'select' : 'vertices in (y > %f)' % wy, 'kind' : 'facet', } material_1 = { 'name' : 'solid', 'values' : { 'lam' : 1e1, 'mu' : 1e0, 'density' : 1e-1, }, } field_1 = { 'name' : '2_displacement', 'dtype' : 'real', 'shape' : 'vector', 'region' : 'Y', 'approx_order' : 2, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '2_displacement', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '2_displacement', 'dual' : 'u', } ebc_1 = { 'name' : 'Fix', 'region' : 'Bottom', 'dofs' : {'u.all' : 0.0}, } ebc_2 = { 'name' : 'Load', 'region' : 'Top', 'dofs' : {'u.all' : 0.2}, } lcbc_1 = { 'name' : 'rigid1', 'region' : 'Y2', 'dofs' : {'u.all' : None}, 'kind' : 'rigid', } lcbc_2 = { 'name' : 'rigid2', 'region' : 'Y3', 'dofs' : {'u.all' : None}, 'kind' : 'rigid', } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'balance' : """dw_lin_elastic_iso.i.Y( solid.lam, solid.mu, v, u ) = 0""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } from tests_basic import TestLCBC output_name = 'test_lcbc_2d.vtk' ## # 03.10.2007, c class Test( TestLCBC ): pass sfepy-release_2015.1/tests/test_lcbc_3d.py000066400000000000000000000034751247364230400205120ustar00rootroot00000000000000# 05.10.2007, c # last revision: 25.02.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/special/cube_sphere.mesh' # Whole domain $Y$. region_1000 = { 'name' : 'Y', 'select' : 'all', } # Domain $Y_1$. region_1 = { 'name' : 'Y1', 'select' : 'cells of group 1', } # Domain $Y_2$. region_2 = { 'name' : 'Y2', 'select' : 'cells of group 2', } region_10 = { 'name' : 'Bottom', 'select' : 'vertices in (z < %f)' % -0.499, 'kind' : 'facet', } region_11 = { 'name' : 'Top', 'select' : 'vertices in (z > %f)' % 0.499, 'kind' : 'facet', } material_1 = { 'name' : 'solid', 'values' : { 'lam' : 1e1, 'mu' : 1e0, 'density' : 1e-1, }, } field_1 = { 'name' : '3_displacement', 'dtype' : 'real', 'shape' : 'vector', 'region' : 'Y', 'approx_order' : 1, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '3_displacement', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '3_displacement', 'dual' : 'u', } ebc_1 = { 'name' : 'Fix', 'region' : 'Bottom', 'dofs' : {'u.all' : 0.0}, } ebc_2 = { 'name' : 'Load', 'region' : 'Top', 'dofs' : {'u.[0,1]' : 0.2, 'u.2' : 0.5}, } lcbc_1 = { 'name' : 'rigid1', 'region' : 'Y2', 'dofs' : {'u.all' : None}, 'kind' : 'rigid', } integral_1 = { 'name' : 'i', 'order' : 2, } equations = { 'balance' : """dw_lin_elastic_iso.i.Y( solid.lam, solid.mu, v, u ) = 0""", } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } from tests_basic import TestLCBC output_name = 'test_lcbc_3d.vtk' ## # 03.10.2007, c class Test( TestLCBC ): pass sfepy-release_2015.1/tests/test_lcbcs.py000066400000000000000000000024761247364230400203070ustar00rootroot00000000000000from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) return test def test_laplace_shifted_periodic(self): import numpy as nm from sfepy.mesh.mesh_generators import gen_block_mesh from sfepy.discrete.fem import FEDomain from examples.standalone.interactive.laplace_shifted_periodic import run dims = [2.0, 1.0] shape = [21, 11] centre = [0.0, 0.0] mesh = gen_block_mesh(dims, shape, centre, name='block-fem') fe_domain = FEDomain('domain', mesh) pb, state = run(fe_domain, 3) gamma3 = pb.domain.regions['Gamma3'] gamma4 = pb.domain.regions['Gamma4'] field = pb.fields['fu'] # Check that the shift equals to one. i3 = field.get_dofs_in_region(gamma3, merge=True) i4 = field.get_dofs_in_region(gamma4, merge=True) i_corners = nm.array([0, shape[0] - 1]) ii = nm.setdiff1d(nm.arange(len(i3)), i_corners) vals = state() shift = vals[i3] - vals[i4] ok = (shift[i_corners] == 0.0).all() ok = ok and nm.allclose(shift[ii], 1.0, rtol=0.0, atol=1e-14) if not ok: self.report('wrong shift:', shift) return ok sfepy-release_2015.1/tests/test_linalg.py000066400000000000000000000044641247364230400204660ustar00rootroot00000000000000from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_tensors(self): import numpy as nm from sfepy.linalg import dot_sequences, insert_strided_axis ok = True a = nm.arange(1, 10).reshape(3, 3) b = nm.arange(9, 0, -1).reshape(3, 3) dab = nm.dot(a, b) dabt = nm.dot(a, b.T) datb = nm.dot(a.T, b) datbt = nm.dot(a.T, b.T) sa = insert_strided_axis(a, 0, 10) sb = insert_strided_axis(b, 0, 10) dsab = dot_sequences(sa, sb, mode='AB') _ok = nm.allclose(dab[None, ...], dsab, rtol=0.0, atol=1e-14) self.report('dot_sequences AB: %s' % _ok) ok = ok and _ok dsabt = dot_sequences(sa, sb, mode='ABT') _ok = nm.allclose(dabt[None, ...], dsabt, rtol=0.0, atol=1e-14) self.report('dot_sequences ABT: %s' % _ok) ok = ok and _ok dsatb = dot_sequences(sa, sb, mode='ATB') _ok = nm.allclose(datb[None, ...], dsatb, rtol=0.0, atol=1e-14) self.report('dot_sequences ATB: %s' % _ok) ok = ok and _ok dsatbt = dot_sequences(sa, sb, mode='ATBT') _ok = nm.allclose(datbt[None, ...], dsatbt, rtol=0.0, atol=1e-14) self.report('dot_sequences ATBT: %s' % _ok) ok = ok and _ok return ok def test_unique_rows(self): import numpy as nm from sfepy.linalg import unique_rows a = nm.arange(1, 10).reshape(3, 3) b = nm.r_[a, a] c = unique_rows(b) ok = (a == c).all() return ok def test_assemble1d(self): import numpy as nm from sfepy.linalg import assemble1d a = nm.arange(5) b = nm.arange(2) assemble1d(b, [1, 1, 1, 1, 0, 0], a[[0, 2, 3, 4, 1, 1]]) ok = (b == [2, 10]).all() return ok def test_geometry(self): import numpy as nm from sfepy.linalg import get_face_areas a1 = get_face_areas([[0, 1, 2, 3]], [[0, 0], [1, 0], [1, 1], [0, 1]]) a2 = get_face_areas([[0, 1, 2, 3]], [[0, 0, 2], [1, 0, 2], [1, 1, 2], [0, 1, 2]]) ok = nm.allclose([a1, a2], [1, 1], rtol=0, atol=1e-15) return ok sfepy-release_2015.1/tests/test_linear_solvers.py000066400000000000000000000123311247364230400222370ustar00rootroot00000000000000from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/special/cube_cylinder.mesh' if 0: from sfepy.discrete.fem.utils import refine_mesh refinement_level = 1 filename_mesh = refine_mesh(filename_mesh, refinement_level) material_2 = { 'name' : 'coef', 'values' : {'val' : 1.0}, } field_1 = { 'name' : 'temperature', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variables = { 't' : ('unknown field', 'temperature', 0), 's' : ('test field', 'temperature', 't'), } regions = { 'Omega' : 'all', 'Gamma_Left' : ('vertices in (x < 0.0001)', 'facet'), 'Gamma_Right' : ('vertices in (x > 0.999)', 'facet'), } ebcs = { 't1' : ('Gamma_Left', {'t.0' : 2.0}), 't2' : ('Gamma_Right', {'t.0' : -2.0}), } integral_1 = { 'name' : 'i', 'order' : 1, } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = 0""" } solvers = { 'd00' : ('ls.scipy_direct', {'warn' : True,} ), ## 'd01' : ('ls.scipy_direct', ## {'method' : 'superlu', ## 'warn' : True,} ## ), 'i00' : ('ls.pyamg', {'method' : 'ruge_stuben_solver', 'accel' : 'cg', 'eps_r' : 1e-12,} ), 'i01' : ('ls.pyamg', {'method' : 'smoothed_aggregation_solver', 'accel' : 'cg', 'eps_r' : 1e-12,} ), 'i10' : ('ls.petsc', {'method' : 'cg', # ksp_type 'precond' : 'icc', # pc_type 'eps_a' : 1e-12, # abstol 'eps_r' : 1e-12, # rtol 'i_max' : 1000,} # maxits ), 'i20' : ('ls.scipy_iterative', {'method' : 'cg', 'i_max' : 1000, 'eps_r' : 1e-12,} ), 'i21' : ('ls.scipy_iterative', {'method' : 'bicgstab', 'i_max' : 1000, 'eps_r' : 1e-12,} ), 'i22' : ('ls.scipy_iterative', {'method' : 'qmr', 'i_max' : 1000, 'eps_r' : 1e-12,} ), 'newton' : ('nls.newton', { 'i_max' : 1, 'eps_a' : 1e-10, }), } options = { 'nls' : 'newton', } from sfepy.base.testing import TestCommon output_name = 'test_linear_solvers_%s.vtk' ## # c: 02.05.2008 class Test( TestCommon ): can_fail = ['ls.pyamg', 'ls.petsc'] ## # c: 02.05.2008, r: 02.05.2008 def from_conf( conf, options ): from sfepy.discrete import Problem problem = Problem.from_conf(conf) problem.time_update() test = Test( problem = problem, conf = conf, options = options ) return test from_conf = staticmethod( from_conf ) ## # c: 02.05.2008, r: 02.05.2008 def _list_linear_solvers( self, confs ): d = [] for key, val in confs.iteritems(): if val.kind.find( 'ls.' ) == 0: d.append( val ) d.sort( cmp = lambda a, b: cmp( a.name, b.name ) ) return d ## # c: 02.05.2008, r: 07.05.2008 def test_solvers( self ): from sfepy.base.base import IndexedStruct import os.path as op solver_confs = self._list_linear_solvers( self.problem.solver_confs ) ok = True tt = [] for solver_conf in solver_confs: method = solver_conf.get('method', '') precond = solver_conf.get('precond', '') name = ' '.join( (solver_conf.name, solver_conf.kind, method, precond) ).rstrip() self.report( name ) self.report( 'matrix size:', self.problem.mtx_a.shape ) self.report( ' nnz:', self.problem.mtx_a.nnz ) status = IndexedStruct() try: self.problem.init_solvers( nls_status = status, ls_conf = solver_conf ) state = self.problem.solve() failed = status.condition != 0 ## self.problem.mtx_a.save( 'mtx_laplace_cube', ## format='%d %d %.12e\n' ) except Exception, exc: failed = True status = None ok = ok and ((not failed) or (solver_conf.kind in self.can_fail)) if status is not None: for kv in status.time_stats.iteritems(): self.report( '%10s: %7.2f [s]' % kv ) self.report( 'condition: %d, err0: %.3e, err: %.3e'\ % (status.condition, status.err0, status.err) ) tt.append( [name, status.time_stats['solve'], status.err] ) aux = name.replace(' ', '_') fname = op.join( self.options.out_dir, op.split( self.conf.output_name )[1] ) % aux self.problem.save_state( fname, state ) else: self.report( 'solver failed:' ) self.report( exc ) tt.append( [name, 1e10, 1e10] ) tt.sort( cmp = lambda a, b: cmp( a[1], b[1] ) ) self.report( 'solution times (rezidual norms):' ) for row in tt: self.report( '%.2f [s]' % row[1], '(%.3e)' % row[2], ':', row[0] ) return ok sfepy-release_2015.1/tests/test_linearization.py000066400000000000000000000060231247364230400220610ustar00rootroot00000000000000import os import numpy as nm from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) test.join = lambda x: os.path.join(test.options.out_dir, x) return test def test_linearization(self): from sfepy.base.base import Struct from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy import data_dir geometries = ['2_3', '2_4', '3_4', '3_8'] approx_orders = [1, 2] funs = [nm.cos, nm.sin, lambda x: x] ok = True for geometry in geometries: name = os.path.join(data_dir, 'meshes/elements/%s_1.mesh' % geometry) mesh = Mesh.from_file(name) domain = FEDomain('', mesh) domain = domain.refine() domain.mesh.write(self.join('linearizer-%s-0.mesh' % geometry)) omega = domain.create_region('Omega', 'all') for approx_order in approx_orders: for dpn in [1, mesh.dim]: self.report('geometry: %s, approx. order: %d, dpn: %d' % (geometry, approx_order, dpn)) field = Field.from_args('fu', nm.float64, dpn, omega, approx_order=approx_order) cc = field.get_coor() dofs = nm.zeros((field.n_nod, dpn), dtype=nm.float64) for ic in range(dpn): dofs[:, ic] = funs[ic](3 * (cc[:, 0] * cc[:, 1])) vmesh, vdofs, levels = field.linearize(dofs, min_level=0, max_level=3, eps=1e-2) level = levels[0] if approx_order == 1: _ok = level == 0 else: _ok = level > 0 self.report('max. refinement level: %d: %s' % (level, _ok)) ok = ok and _ok rdofs = nm.zeros((vmesh.n_nod, dpn), dtype=nm.float64) cc = vmesh.coors for ic in range(dpn): rdofs[:, ic] = funs[ic](3 * (cc[:, 0] * cc[:, 1])) _ok = nm.allclose(rdofs, vdofs, rtol=0.0, atol=0.03) self.report('interpolation: %s' % _ok) ok = ok and _ok out = { 'u' : Struct(name='output_data', mode='vertex', data=vdofs, var_name='u', dofs=None) } name = self.join('linearizer-%s-%d-%d' % (geometry, approx_order, dpn)) vmesh.write(name + '.mesh') vmesh.write(name + '.vtk', out=out) return ok sfepy-release_2015.1/tests/test_matcoefs.py000066400000000000000000000107351247364230400210170ustar00rootroot00000000000000from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_elastic_constants(self): import numpy as nm from sfepy.mechanics.matcoefs import ElasticConstants ok = True names = ['bulk', 'lam', 'mu', 'young', 'poisson', 'p_wave'] ec = ElasticConstants(lam=1.0, mu=1.5) vals = ec.get(names) self.report('using values:', vals) for i1 in range(len(names)): for i2 in range(i1+1, len(names)): kwargs = {names[i1] : vals[i1], names[i2] : vals[i2]} try: ec.init(**kwargs) except: _ok = False else: _ok = True ec_vals = ec.get(names) _ok = _ok and nm.allclose(ec_vals, vals) self.report(names[i1], names[i2], '->', _ok) if not _ok: self.report('correct:', vals) self.report(' got:', ec_vals) ok = ok and _ok return ok def test_conversion_functions(self): import numpy as nm import sfepy.mechanics.matcoefs as mc ok = True lam = 1.0 mu = 1.5 ec = mc.ElasticConstants(lam=lam, mu=mu) young, poisson, bulk = ec.get(['young', 'poisson', 'bulk']) lam = nm.array([lam] * 3) mu = nm.array([mu] * 3) young = nm.array([young] * 3) poisson = nm.array([poisson] * 3) _lam, _mu = mc.lame_from_youngpoisson(young, poisson) _ok = (nm.allclose(lam, _lam, rtol=0.0, atol=1e-14) and nm.allclose(mu, _mu, rtol=0.0, atol=1e-14)) self.report('lame_from_youngpoisson():', _ok) if not _ok: self.report('correct:', lam, mu) self.report(' got:', _lam, _mu) ok = ok and _ok _bulk = mc.bulk_from_youngpoisson(young, poisson) _ok = nm.allclose(bulk, _bulk, rtol=0.0, atol=1e-14) self.report('bulk_from_youngpoisson():', _ok) if not _ok: self.report('correct:', bulk) self.report(' got:', _bulk) ok = ok and _ok _bulk = mc.bulk_from_lame(lam, mu) _ok = nm.allclose(bulk, _bulk, rtol=0.0, atol=1e-14) self.report('bulk_from_lame():', _ok) if not _ok: self.report('correct:', bulk) self.report(' got:', _bulk) ok = ok and _ok return ok def test_stiffness_tensors(self): import numpy as nm from sfepy.base.base import assert_ import sfepy.mechanics.matcoefs as mc ok = True lam = 1.0 mu = 4.0 lam = nm.array([lam] * 3) mu = nm.array([mu] * 3) d = nm.array([[ 9., 1., 1., 0., 0., 0.], [ 1., 9., 1., 0., 0., 0.], [ 1., 1., 9., 0., 0., 0.], [ 0., 0., 0., 4., 0., 0.], [ 0., 0., 0., 0., 4., 0.], [ 0., 0., 0., 0., 0., 4.]]) _ds = mc.stiffness_from_lame(3, lam, mu) assert_(_ds.shape == (3, 6, 6)) _ok = True for _d in _ds: __ok = nm.allclose(_d, d, rtol=0.0, atol=1e-14) _ok = _ok and __ok self.report('stiffness_from_lame():', _ok) ok = ok and _ok d = 4.0 / 3.0 * nm.array([[ 4., -2., -2., 0., 0., 0.], [-2., 4., -2., 0., 0., 0.], [-2., -2., 4., 0., 0., 0.], [ 0., 0., 0., 3., 0., 0.], [ 0., 0., 0., 0., 3., 0.], [ 0., 0., 0., 0., 0., 3.]]) _ds = mc.stiffness_from_lame_mixed(3, lam, mu) assert_(_ds.shape == (3, 6, 6)) _ok = True for _d in _ds: __ok = nm.allclose(_d, d, rtol=0.0, atol=1e-14) _ok = _ok and __ok self.report('stiffness_from_lame_mixed():', _ok) ok = ok and _ok blam = - mu * 2.0 / 3.0 _ds = mc.stiffness_from_lame(3, blam, mu) assert_(_ds.shape == (3, 6, 6)) _ok = True for _d in _ds: __ok = nm.allclose(_d, d, rtol=0.0, atol=1e-14) _ok = _ok and __ok self.report('stiffness_from_lame() with modified lambda:', _ok) ok = ok and _ok return ok sfepy-release_2015.1/tests/test_mesh_generators.py000066400000000000000000000025641247364230400224040ustar00rootroot00000000000000import os.path as op from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) return test def test_gen_block_mesh(self): from sfepy.mesh.mesh_generators import gen_block_mesh mesh = gen_block_mesh([1, 2, 3], [4, 3, 5], [2, 1, 0], verbose=False) filename = op.join(self.options.out_dir, 'gen_block.mesh') mesh.write(filename) self.report('block mesh generated') return True def test_gen_cylinder_mesh(self): from sfepy.mesh.mesh_generators import gen_cylinder_mesh mesh = gen_cylinder_mesh([0.5, 1, 2, 1.5, 3], [5, 4, 3], [0, 2, 1], axis='z', non_uniform=True, verbose=False) filename = op.join(self.options.out_dir, 'gen_cylinger.mesh') mesh.write(filename) self.report('cylinder mesh generated') return True def test_gen_extended_block_mesh(self): from sfepy.mesh.mesh_generators import gen_extended_block_mesh mesh = gen_extended_block_mesh([2, 3, 1], [5, 3, 4], [14, 10, 20], 5, [1, 0, 2]) filename = op.join(self.options.out_dir, 'gen_extended_block.mesh') mesh.write(filename) self.report('extended block mesh generated') return True sfepy-release_2015.1/tests/test_mesh_interp.py000066400000000000000000000200771247364230400215330ustar00rootroot00000000000000import os.path as op import numpy as nm from sfepy.base.conf import transform_variables from sfepy.base.testing import TestCommon variables = { 'u' : ('unknown field', 'f', 0), 'v' : ('test field', 'f', 'u'), } def in_dir(adir): return lambda x: op.join(adir, x) def gen_datas(meshes): datas = {} for key, mesh in meshes.iteritems(): bbox = mesh.get_bounding_box() nx = bbox[1,0] - bbox[0,0] centre = 0.5 * bbox.sum(axis=0) mesh.coors -= centre data = nm.sin(4.0 * nm.pi * mesh.coors[:,0:1] / nx) datas['scalar_' + key] = data data = nm.zeros_like(mesh.coors) data[:,0] = 0.05 * nx * nm.sin(4.0 * nm.pi * mesh.coors[:,0] / nx) data[:,2] = 0.05 * nx * nm.cos(4.0 * nm.pi * mesh.coors[:,0] / nx) datas['vector_' + key] = data return datas def do_interpolation(m2, m1, data, field_name, force=False): """Interpolate data from m1 to m2. """ from sfepy.discrete import Variables from sfepy.discrete.fem import FEDomain, Field fields = { 'scalar_si' : ((1,1), 'Omega', 2), 'vector_si' : ((3,1), 'Omega', 2), 'scalar_tp' : ((1,1), 'Omega', 1), 'vector_tp' : ((3,1), 'Omega', 1), } d1 = FEDomain('d1', m1) omega1 = d1.create_region('Omega', 'all') f = fields[field_name] field1 = Field.from_args('f', nm.float64, f[0], d1.regions[f[1]], approx_order=f[2]) ff = {field1.name : field1} vv = Variables.from_conf(transform_variables(variables), ff) u1 = vv['u'] u1.set_from_mesh_vertices(data) d2 = FEDomain('d2', m2) omega2 = d2.create_region('Omega', 'all') field2 = Field.from_args('f', nm.float64, f[0], d2.regions[f[1]], approx_order=f[2]) ff2 = {field2.name : field2} vv2 = Variables.from_conf(transform_variables(variables), ff2) u2 = vv2['u'] if not force: # Performs interpolation, if other field differs from self.field # or, in particular, is defined on a different mesh. u2.set_from_other(u1, strategy='interpolation', close_limit=0.5) else: coors = u2.field.get_coor() vals = u1.evaluate_at(coors, close_limit=0.5) u2.set_data(vals) return u1, u2 class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) return test def test_interpolation(self): from sfepy import data_dir from sfepy.discrete.fem import Mesh from sfepy.linalg import make_axis_rotation_matrix fname = in_dir(self.options.out_dir) meshes = { 'tp' : Mesh('original mesh', data_dir + '/meshes/3d/block.mesh'), 'si' : Mesh('original mesh', data_dir + '/meshes/3d/cylinder.mesh'), } datas = gen_datas(meshes) for field_name in ['scalar_si', 'vector_si', 'scalar_tp', 'vector_tp']: m1 = meshes[field_name[-2:]] for ia, angle in enumerate(nm.linspace(0.0, nm.pi, 11)): self.report('%s: %d. angle: %f' % (field_name, ia, angle)) shift = [0.0, 0.0, 0.0] mtx = make_axis_rotation_matrix([0, 1, 0], angle) m2 = m1.copy('rotated mesh') m2.transform_coors(mtx) data = datas[field_name] u1, u2 = do_interpolation(m2, m1, data, field_name) if ia == 0: u1.save_as_mesh(fname('test_mesh_interp_%s_u1.vtk' % field_name)) u2.save_as_mesh(fname('test_mesh_interp_%s_u2.%03d.vtk' % (field_name, ia))) return True def test_interpolation_two_meshes(self): from sfepy import data_dir from sfepy.discrete import Variables from sfepy.discrete.fem import Mesh, FEDomain, Field m1 = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh') m2 = Mesh('target mesh', data_dir + '/meshes/3d/cube_medium_tetra.mesh') m2.coors *= 2.0 bbox = m1.get_bounding_box() dd = bbox[1,:] - bbox[0,:] data = nm.sin(4.0 * nm.pi * m1.coors[:,0:1] / dd[0]) \ * nm.cos(4.0 * nm.pi * m1.coors[:,1:2] / dd[1]) variables1 = { 'u' : ('unknown field', 'scalar_tp', 0), 'v' : ('test field', 'scalar_tp', 'u'), } variables2 = { 'u' : ('unknown field', 'scalar_si', 0), 'v' : ('test field', 'scalar_si', 'u'), } d1 = FEDomain('d1', m1) omega1 = d1.create_region('Omega', 'all') field1 = Field.from_args('scalar_tp', nm.float64, (1,1), omega1, approx_order=1) ff1 = {field1.name : field1} d2 = FEDomain('d2', m2) omega2 = d2.create_region('Omega', 'all') field2 = Field.from_args('scalar_si', nm.float64, (1,1), omega2, approx_order=0) ff2 = {field2.name : field2} vv1 = Variables.from_conf(transform_variables(variables1), ff1) u1 = vv1['u'] u1.set_from_mesh_vertices(data) vv2 = Variables.from_conf(transform_variables(variables2), ff2) u2 = vv2['u'] # Performs interpolation, if other field differs from self.field # or, in particular, is defined on a different mesh. u2.set_from_other(u1, strategy='interpolation', close_limit=0.1) fname = in_dir(self.options.out_dir) u1.save_as_mesh(fname('test_mesh_interp_block_scalar.vtk')) u2.save_as_mesh(fname('test_mesh_interp_cube_scalar.vtk')) return True def test_invariance(self): from sfepy import data_dir from sfepy.discrete.fem import Mesh meshes = { 'tp' : Mesh('original mesh', data_dir + '/meshes/3d/block.mesh'), 'si' : Mesh('original mesh', data_dir + '/meshes/3d/cylinder.mesh'), } datas = gen_datas(meshes) ok = True for field_name in ['scalar_si', 'vector_si', 'scalar_tp', 'vector_tp']: m1 = meshes[field_name[-2:]] data = datas[field_name] u1, u2 = do_interpolation(m1, m1, data, field_name, force=True) self.report('max. difference:', nm.abs(u1() - u2()).max()) _ok = nm.allclose(u1(), u2(), rtol=0.0, atol=1e-12) self.report('invariance for %s field: %s' % (field_name, _ok)) ok = ok and _ok return ok def test_invariance_qp(self): from sfepy import data_dir from sfepy.discrete import Variables, Integral from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.terms import Term from sfepy.discrete.common.mappings import get_physical_qps mesh = Mesh('source mesh', data_dir + '/meshes/3d/block.mesh') bbox = mesh.get_bounding_box() dd = bbox[1,:] - bbox[0,:] data = nm.sin(4.0 * nm.pi * mesh.coors[:,0:1] / dd[0]) \ * nm.cos(4.0 * nm.pi * mesh.coors[:,1:2] / dd[1]) variables = { 'u' : ('unknown field', 'scalar_tp', 0), 'v' : ('test field', 'scalar_tp', 'u'), } domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') field = Field.from_args('scalar_tp', nm.float64, 1, omega, approx_order=1) ff = {field.name : field} vv = Variables.from_conf(transform_variables(variables), ff) u = vv['u'] u.set_from_mesh_vertices(data) integral = Integral('i', order=2) term = Term.new('ev_volume_integrate(u)', integral, omega, u=u) term.setup() val1, _ = term.evaluate(mode='qp') val1 = val1.ravel() qps = get_physical_qps(omega, integral) coors = qps.get_merged_values() val2 = u.evaluate_at(coors).ravel() self.report('max. difference:', nm.abs(val1 - val2).max()) ok = nm.allclose(val1, val2, rtol=0.0, atol=1e-12) self.report('invariance in qp: %s' % ok) return ok sfepy-release_2015.1/tests/test_mesh_smoothing.py000066400000000000000000000030031247364230400222270ustar00rootroot00000000000000import os.path as op from sfepy.base.testing import TestCommon def get_volume(el, nd): from sfepy.mesh.mesh_tools import elems_q2t from sfepy.base.compat import factorial import numpy as nm from sfepy.linalg.utils import dets_fast dim = nd.shape[1] nnd = el.shape[1] etype = '%d_%d' % (dim, nnd) if etype == '2_4' or etype == '3_8': el = elems_q2t(el) nel = el.shape[0] mul = 1.0 / factorial(dim) if dim == 3: mul *= -1.0 mtx = nm.ones((nel, dim + 1, dim + 1), dtype=nm.double) mtx[:,:,:-1] = nd[el,:] vols = mul * dets_fast(mtx.copy()) vol = vols.sum() return vol class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) return test def test_mesh_smoothing(self): from sfepy.mesh.mesh_tools import smooth_mesh from sfepy.discrete.fem.mesh import Mesh from sfepy import data_dir mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.vtk') vol0 = get_volume(mesh.conns[0], mesh.coors) mesh.coors = smooth_mesh(mesh, n_iter=10) vol1 = get_volume(mesh.conns[0], mesh.coors) filename = op.join(self.options.out_dir, 'smoothed_cylinder.vtk') mesh.write(filename) frac = vol1 / vol0 if (frac < 0.967) and (frac > 0.966): self.report('mesh smoothed') return True else: self.report('mesh smoothed, volume mismatch!') return False sfepy-release_2015.1/tests/test_meshio.py000066400000000000000000000156631247364230400205070ustar00rootroot00000000000000from sfepy import data_dir filename_meshes = ['/meshes/3d/cylinder.mesh', '/meshes/3d/cylinder.vtk', '/meshes/various_formats/small2d.mesh', '/meshes/various_formats/small2d.vtk', '/meshes/various_formats/octahedron.node', '/meshes/various_formats/comsol_tri.txt', '/meshes/various_formats/abaqus_hex.inp', '/meshes/various_formats/abaqus_tet.inp', '/meshes/various_formats/abaqus_quad.inp', '/meshes/various_formats/abaqus_tri.inp', '/meshes/various_formats/abaqus_quad_tri.inp', '/meshes/various_formats/hex4.mesh3d', '/meshes/various_formats/tetra8.mesh3d', '/meshes/various_formats/cube.bdf', '/meshes/various_formats/med_2d_tri_quad.med', '/meshes/various_formats/med_3d_tet_hex.med'] filename_meshes = [data_dir + name for name in filename_meshes] def mesh_hook(mesh, mode): """ Define a mesh programmatically. """ if mode == 'read': nodes = [[0, 0], [1, 0], [1, 1], [0, 1]] nod_ids = [0, 0, 1, 1] conns = [[[0, 1, 2], [0, 2, 3]]] mat_ids = [[0, 1]] descs = ['2_3'] mesh._set_data(nodes, nod_ids, conns, mat_ids, descs) ## mesh.write('aux.vtk', io='auto') elif mode == 'write': pass from sfepy.discrete.fem.meshio import UserMeshIO filename_meshes.extend([mesh_hook, UserMeshIO(mesh_hook)]) same = [(0, 1), (2, 3)] import os.path as op from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon ## # c: 05.02.2008 class Test( TestCommon ): """Write test names explicitely to impose a given order of evaluation.""" tests = ['test_read_meshes', 'test_compare_same_meshes', 'test_read_dimension', 'test_write_read_meshes'] ## # c: 05.02.2008, r: 05.02.2008 def from_conf( conf, options ): return Test( conf = conf, options = options ) from_conf = staticmethod( from_conf ) ## # c: 05.02.2008, r: 05.02.2008 def test_read_meshes( self ): """Try to read all listed meshes.""" from sfepy.discrete.fem import Mesh conf_dir = op.dirname(__file__) meshes = {} for ii, filename in enumerate( filename_meshes ): self.report( '%d. mesh: %s' % (ii + 1, filename) ) mesh = Mesh.from_file(filename, prefix_dir=conf_dir) assert_(mesh.dim == (mesh.coors.shape[1])) assert_(mesh.n_nod == (mesh.coors.shape[0])) assert_(mesh.n_nod == (mesh.ngroups.shape[0])) assert_(mesh.n_el == sum(mesh.n_els)) for ig, conn in enumerate( mesh.conns ): assert_(conn.shape[0] == len(mesh.mat_ids[ig])) assert_(conn.shape[0] == mesh.n_els[ig]) assert_(conn.shape[1] == mesh.n_e_ps[ig]) self.report( 'read ok' ) meshes[filename] = mesh self.meshes = meshes return True def _compare_meshes(self, mesh0, mesh1): import numpy as nm oks = [] ok0 = (mesh0.dim == mesh1.dim) if not ok0: self.report( 'dimension failed!' ) oks.append( ok0 ) ok0 = mesh0.n_nod == mesh1.n_nod if not ok0: self.report( 'number of nodes failed!' ) oks.append( ok0 ) ok0 = mesh0.n_el == mesh1.n_el if not ok0: self.report( 'number of elements failed!' ) oks.append( ok0 ) ok0 = mesh0.n_e_ps == mesh1.n_e_ps if not ok0: self.report( 'number of element points failed!' ) oks.append( ok0 ) ok0 = mesh0.descs == mesh1.descs if not ok0: self.report( 'element types failed!' ) oks.append( ok0 ) ok0 = nm.allclose( mesh0.coors, mesh1.coors ) if not ok0: self.report( 'nodes failed!' ) oks.append( ok0 ) ok0 = nm.all( mesh0.ngroups == mesh1.ngroups ) if not ok0: self.report( 'node groups failed!' ) oks.append( ok0 ) for ii in range( len( mesh0.mat_ids ) ): ok0 = nm.all( mesh0.mat_ids[ii] == mesh1.mat_ids[ii] ) if not ok0: self.report( 'material ids failed!' ) oks.append( ok0 ) for ii in range( len( mesh0.mat_ids ) ): ok0 = nm.all( mesh0.conns[ii] == mesh1.conns[ii] ) if not ok0: self.report( 'connectivities failed!' ) oks.append( ok0 ) return oks def test_compare_same_meshes(self): """ Compare same meshes in various formats. """ oks = [] for i0, i1 in same: name0 = filename_meshes[i0] name1 = filename_meshes[i1] self.report('comparing meshes from "%s" and "%s"' % (name0, name1)) mesh0 = self.meshes[name0] mesh1 = self.meshes[name1] oks = self._compare_meshes(mesh0, mesh1) return sum(oks) == len(oks) ## # c: 03.07.2008, r: 03.07.2008 def test_read_dimension( self ): from sfepy.discrete.fem import MeshIO meshes = {data_dir + '/meshes/various_formats/small2d.mesh' : 2, data_dir + '/meshes/various_formats/small2d.vtk' : 2, data_dir + '/meshes/various_formats/small3d.mesh' : 3} ok = True conf_dir = op.dirname(__file__) for filename, adim in meshes.iteritems(): self.report( 'mesh: %s, dimension %d' % (filename, adim) ) io = MeshIO.any_from_filename(filename, prefix_dir=conf_dir) dim = io.read_dimension() if dim != adim: self.report( 'read dimension %d -> failed' % dim ) ok = False else: self.report( 'read dimension %d -> ok' % dim ) return ok def test_write_read_meshes(self): """ Try to write and then read all supported formats. """ from sfepy.discrete.fem import Mesh from sfepy.discrete.fem.meshio import (supported_formats, supported_capabilities) conf_dir = op.dirname(__file__) mesh0 = Mesh.from_file(data_dir + '/meshes/various_formats/small3d.mesh', prefix_dir=conf_dir) oks = [] for suffix, format_ in supported_formats.iteritems(): if isinstance(format_, tuple): continue if 'w' not in supported_capabilities[format_]: continue filename = op.join(self.options.out_dir, 'test_mesh_wr' + suffix) self.report('%s format: %s' % (suffix, filename)) mesh0.write(filename, io='auto') mesh1 = Mesh.from_file(filename) oks.extend(self._compare_meshes(mesh0, mesh1)) return sum(oks) == len(oks) sfepy-release_2015.1/tests/test_msm_laplace.py000066400000000000000000000105021247364230400214630ustar00rootroot00000000000000# c: 07.05.2007, r: 25.06.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' dim = 2 field_1 = { 'name' : 'a_harmonic_field', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 1, } variables = { 't': ('unknown field', 'a_harmonic_field', 0), 's': ('test field', 'a_harmonic_field', 't'), } regions = { 'Omega' : 'all', 'Gamma' : ('vertices of surface', 'facet'), } ebcs = { 't_left' : ('Gamma', {'t.0' : 'ebc'}), } integral_1 = { 'name' : 'i', 'order' : 2, } coef = 2.0 materials = { 'coef' : ({'val' : coef},), 'rhs' : 'rhs', } equations = { 'Temperature' : """dw_laplace.i.Omega( coef.val, s, t ) = - dw_volume_lvf.i.Omega( rhs.val, s )""", } solutions = { 'sincos' : ('t', 'sin( 3.0 * x ) * cos( 4.0 * y )', '-25.0 * %s * sin( 3.0 * x ) * cos( 4.0 * y )' % coef), 'poly' : ('t', '(x**2) + (y**2)', '4.0 * %s' % coef), 'polysin' : ('t', '((x - 0.5)**3) * sin( 5.0 * y )', '%s * (6.0 * (x - 0.5) * sin( 5.0 * y ) - 25.0 * ((x - 0.5)**3) * sin( 5.0 * y ))' % coef), } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } import numpy as nm from sfepy.base.testing import TestCommon from sfepy.base.base import debug, pause, assert_ output_name = 'test_msm_laplace_%s.vtk' ## # c: 07.05.2007, r: 09.05.2008 solution = [''] def ebc(ts, coor, **kwargs): expression = solution[0] val = TestCommon.eval_coor_expression( expression, coor ) return nm.atleast_1d( val ) def rhs(ts, coor, mode=None, expression=None, **kwargs): if mode == 'qp': if expression is None: expression = '0.0 * x' val = TestCommon.eval_coor_expression( expression, coor ) val.shape = (val.shape[0], 1, 1) return {'val' : val} functions = { 'ebc' : (ebc,), 'rhs' : (rhs,), } ## # c: 07.05.2008 class Test( TestCommon ): ## # c: 07.05.2007, r: 07.05.2008 def from_conf( conf, options ): from sfepy.discrete import Problem problem = Problem.from_conf(conf) test = Test( problem = problem, conf = conf, options = options ) return test from_conf = staticmethod( from_conf ) ## # c: 09.05.2007, r: 25.06.2008 def _build_rhs( self, sols ): for sol in sols.itervalues(): assert_( len( sol ) == 3 ) return sols ## # c: 07.05.2007, r: 09.05.2008 def test_msm_laplace( self ): import os.path as op problem = self.problem variables = problem.get_variables() materials = problem.get_materials() sols = self._build_rhs( self.conf.solutions ) ok = True for sol_name, sol in sols.iteritems(): self.report( 'testing', sol_name ) var_name, sol_expr, rhs_expr = sol self.report( 'sol:', sol_expr ) self.report( 'rhs:', rhs_expr ) globals()['solution'][0] = sol_expr materials['rhs'].function.set_extra_args(expression=rhs_expr) problem.time_update() state = problem.solve() coor = variables[var_name].field.get_coor() ana_sol = self.eval_coor_expression( sol_expr, coor ) num_sol = state(var_name) ana_norm = nm.linalg.norm( ana_sol, nm.inf ) ret = self.compare_vectors( ana_sol, num_sol, allowed_error = ana_norm * 1e-2, label1 = 'analytical %s' % var_name, label2 = 'numerical %s' % var_name, norm = nm.inf ) if not ret: self.report( 'variable %s: failed' % var_name ) fname = op.join( self.options.out_dir, self.conf.output_name ) out = {} astate = state.copy() astate.set_full(ana_sol) aux = astate.create_output_dict() out['ana_t'] = aux['t'] aux = state.create_output_dict() out['num_t'] = aux['t'] problem.domain.mesh.write( fname % sol_name, io = 'auto', out = out ) ok = ok and ret return ok sfepy-release_2015.1/tests/test_msm_symbolic.py000066400000000000000000000175721247364230400217210ustar00rootroot00000000000000# c: 07.05.2007, r: 08.07.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' dim = 2 field_1 = { 'name' : 'a_harmonic_field', 'dtype' : 'real', 'shape' : 'scalar', 'region' : 'Omega', 'approx_order' : 1, } variables = { 't': ('unknown field', 'a_harmonic_field', 0), 's': ('test field', 'a_harmonic_field', 't'), } regions = { 'Omega' : 'all', 'Gamma' : ('vertices of surface', 'facet'), } ebcs = { 't_left' : ('Gamma', {'t.0' : 'ebc'}), } integral_1 = { 'name' : 'i', 'order' : 2, } material_1 = { 'name' : 'coef', 'values' : { 'val' : 12.0, 'K' : [[1.0, 0.3], [0.3, 2.0]], } } material_2 = { 'name' : 'rhs', 'function' : 'rhs', } equations = { 'Laplace' : """2 * dw_laplace.i.Omega( coef.val, s, t ) """, 'Diffusion' : """3 * dw_diffusion.i.Omega( coef.K, s, t ) """, } equations_rhs = { 'Laplace' : """= - dw_volume_lvf.i.Omega( rhs.val, s )""", 'Diffusion' : """= - dw_volume_lvf.i.Omega( rhs.val, s )""", } solutions = { 'sincos' : ('t', 'sin( 3.0 * x ) * cos( 4.0 * y )'), 'poly' : ('t', '(x**2) + (y**2)'), 'polysin' : ('t', '((x - 0.5)**3) * sin( 5.0 * y )'), } solver_0 = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } solver_1 = { 'name' : 'newton', 'kind' : 'nls.newton', 'i_max' : 1, 'eps_a' : 1e-10, } import numpy as nm try: import sympy_operators as sops except ImportError, exc: sops = None from sfepy.base.testing import TestCommon from sfepy.base.base import debug, pause output_name = 'test_msm_symbolic_%s.vtk' ## # c: 07.05.2007, r: 09.05.2008 solution = [''] def ebc(ts, coor, solution=None): expression = solution[0] val = TestCommon.eval_coor_expression( expression, coor ) return nm.atleast_1d( val ) def rhs(ts, coor, mode=None, expression=None, **kwargs): if mode == 'qp': if expression is None: expression = '0.0 * x' val = TestCommon.eval_coor_expression( expression, coor ) val.shape = (val.shape[0], 1, 1) return {'val' : val} functions = { 'ebc' : (lambda ts, coor, **kwargs: ebc(ts, coor, solution=solution),), 'rhs' : (rhs,), } ## # c: 07.05.2008 class Test( TestCommon ): ## # c: 07.05.2007, r: 25.06.2008 def from_conf( conf, options ): from sfepy.discrete import Problem problem = Problem.from_conf(conf, init_equations=False) test = Test( problem = problem, conf = conf, options = options ) return test from_conf = staticmethod( from_conf ) ## # c: 09.05.2007, r: 08.07.2008 def _build_rhs( self, equation, sols ): problem = self.problem rhss = {} self.report( '%s:' % equation.name ) self.report( 'evaluating terms, "<=" is solution, "=>" is the rhs:' ) for term in equation.terms: if not hasattr( term, 'symbolic' ): self.report( 'term %s has no symbolic description!' % term.name ) raise ValueError expr = term.symbolic['expression'] arg_map = term.symbolic['map'] self.report( '%s( %s )' %\ (term.name, ', '.join( term.ats )) ) self.report( 'multiplicator: %f' % term.sign ) self.report( ' symbolic:', expr ) self.report( ' using argument map:', arg_map ) for sol_name, sol in sols.iteritems(): rhs = self._eval_term( sol[1], term, sops ) srhs = "(%s * (%s))" % (term.sign, rhs) rhss.setdefault( sol_name, [] ).append( srhs ) for key, val in rhss.iteritems(): rhss[key] = '+'.join( val ) return rhss ## # c: 09.05.2007, r: 25.06.2008 def _eval_term( self, sol, term, sops ): """Works for scalar, single unknown terms only!""" expr = term.symbolic['expression'] arg_map = term.symbolic['map'] env = {'x' : sops.Symbol( 'x' ), 'y' : sops.Symbol( 'y' ), 'z' : sops.Symbol( 'z' ), 'dim' : dim} for key, val in arg_map.iteritems(): if val == 'state': env[key] = sol else: term.set_current_group(0) env[key] = term.get_args( [val] )[0] if 'material' in val: # Take the first value - constant in all QPs. aux = env[key][0,0] if nm.prod( aux.shape ) == 1: env[key] = aux.squeeze() else: import sympy env[key] = sympy.Matrix( aux ) # print env self.report( ' <= ', sol ) sops.set_dim( dim ) val = str( eval( expr, sops.__dict__, env ) ) self.report( ' =>', val ) return val ## # c: 07.05.2007, r: 30.06.2008 def _test_msm_symbolic( self, equations ): import os.path as op if sops is None: self.report( 'cannot import sympy, skipping' ) return True problem = self.problem ok = True for eq_name, equation in equations.iteritems(): problem.set_equations( {eq_name : equation} ) problem.update_materials() rhss = self._build_rhs( problem.equations[eq_name], self.conf.solutions ) erhs = problem.conf.equations_rhs[eq_name] problem.set_equations( {eq_name : equation + erhs} ) variables = problem.get_variables() materials = problem.get_materials() rhs_mat = materials['rhs'] for sol_name, sol in problem.conf.solutions.iteritems(): self.report( 'testing', sol_name ) var_name, sol_expr = sol rhs_expr = rhss[sol_name] self.report( 'sol:', sol_expr ) self.report( 'rhs:', rhs_expr ) globals()['solution'][0] = sol_expr rhs_mat.function.set_extra_args(expression=rhs_expr) problem.time_update() state = problem.solve() coor = variables[var_name].field.get_coor() ana_sol = self.eval_coor_expression( sol_expr, coor ) num_sol = state(var_name) ana_norm = nm.linalg.norm( ana_sol, nm.inf ) ret = self.compare_vectors( ana_sol, num_sol, allowed_error = ana_norm * 1e-2, label1 = 'analytical %s' % var_name, label2 = 'numerical %s' % var_name, norm = nm.inf ) if not ret: self.report( 'variable %s: failed' % var_name ) fname = op.join( self.options.out_dir, self.conf.output_name ) out = {} astate = state.copy() astate.set_full(ana_sol) aux = astate.create_output_dict() out['ana_t'] = aux['t'] aux = state.create_output_dict() out['num_t'] = aux['t'] problem.domain.mesh.write( fname % '_'.join( (sol_name, eq_name) ), io = 'auto', out = out ) ok = ok and ret return ok ## # c: 30.06.2008, r: 30.06.2008 def _get_equations( self, name ): """Choose a sub-problem from all equations.""" return {name : self.problem.conf.equations[name]} ## # c: 30.06.2008, r: 30.06.2008 def test_msm_symbolic_laplace( self ): return self._test_msm_symbolic( self._get_equations( 'Laplace' ) ) ## # c: 30.06.2008, r: 30.06.2008 def test_msm_symbolic_diffusion( self ): return self._test_msm_symbolic( self._get_equations( 'Diffusion' ) ) sfepy-release_2015.1/tests/test_normals.py000066400000000000000000000053041247364230400206650ustar00rootroot00000000000000import numpy as nm from sfepy.base.testing import TestCommon expected_normals = { # Need to be normalized! '2_3' : nm.array([[ 0, -1], [ 1, 1], [-1, 0]], dtype=nm.float64), '2_4' : nm.array([[ 0, -1], [ 1, 0], [ 0, 1], [-1, 0]], dtype=nm.float64), '3_4' : nm.array([[ 0, 0, -1], [-1, 0, 0], [ 0, -1, 0], [ 1, 1, 1]], dtype=nm.float64), '3_8' : nm.array([[ 0, 0, -1], [-1, 0, 0], [ 0, -1, 0], [ 0, 0, 1], [ 1, 0, 0], [ 0, 1, 0]], dtype=nm.float64), } class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_normals(self): """ Check orientations of surface normals on the reference elements. """ import sfepy from sfepy.discrete import Integral from sfepy.discrete.fem import Mesh, FEDomain from sfepy.discrete.fem.poly_spaces import PolySpace from sfepy.discrete.fem.mappings import SurfaceMapping from sfepy.linalg import normalize_vectors ok = True for geom in ['2_3', '2_4', '3_4', '3_8']: mesh = Mesh.from_file('meshes/elements/%s_1.mesh' % geom, prefix_dir=sfepy.data_dir) domain = FEDomain('domain', mesh) surface = domain.create_region('Surface', 'vertices of surface', 'facet') domain.create_surface_group(surface) sd = domain.surface_groups[0][surface.name] coors = domain.get_mesh_coors() gel = domain.geom_els[geom].surface_facet ps = PolySpace.any_from_args('aux', gel, 1) mapping = SurfaceMapping(coors, sd.get_connectivity(), ps) integral = Integral('i', order=1) vals, weights = integral.get_qp(gel.name) # Evaluate just in the first quadrature point... geo = mapping.get_mapping(vals[:1], weights[:1]) expected = expected_normals[geom].copy() normalize_vectors(expected) _ok = nm.allclose(expected, geo.normal[:, 0, :, 0], rtol=0.0, atol=1e-14) self.report('%s: %s' % (geom, _ok)) if not _ok: self.report('expected:') self.report(expected) self.report('actual:') self.report(geo.normal[:, 0, :, 0]) ok = ok and _ok return ok sfepy-release_2015.1/tests/test_parsing.py000066400000000000000000000075311247364230400206610ustar00rootroot00000000000000from sfepy.base.testing import TestCommon class Test(TestCommon): def from_conf(conf, options): return Test(conf=conf, options=options) from_conf = staticmethod(from_conf) def test_parse_equations(self): from sfepy.discrete.parse_equations import create_bnf test_strs = [ """- d_volume.i1.Omega(uc)""", """- 2 * dw_term.i1.Omega(uc) = - 3.0 * dw_term2.i1.Omega2(uc)""", """2 * dw_term.i1.Omega(uc) = 3.0 * dw_term2.i1.Omega2(uc)""", """- (2 + 1j - 3) * dw_term.i1.Omega(uc) = - (1j - 3.0 + 2.0j) * dw_term2.i1.Omega2(uc)""", """(2 + 1j) * dw_term.i1.Omega(uc) = (3.0 + 2.0j) * dw_term2.i1.Omega2(uc)""", """d_term1.Y(fluid, u, w, Nu, dcf, mode) + d_term2.Omega(u, w, Nu, dcf, mode) - d_another_term.Elsewhere(w, p, Nu, dcf, mode) = - dw_rhs.a.Y3(u, q, Nu, dcf, mode)""", """no_args() = 0""", """+ something(a, b, c) = + something_else(c, a, d[-1])""", """term_.a.a(u)""", """term.i1.Omega(v, du/dt) + term2.i2.Gamma(v, dphi/dt)""", """dw_jump.isurf.Gamma12_1(jump1.val, q1, p1, tr(p2))""", ] n_fail = 0 term_descs = [] for test_str in test_strs: term_descs[:] = [] try: bnf = create_bnf(term_descs) bnf.parseString(test_str) except: self.report('failed: %s' % test_str) if self.options.debug: raise n_fail += 1 for td in term_descs: print td self.report('%d failure(s)' % n_fail) if n_fail: raise AssertionError return True def test_parse_regions(self): from sfepy.discrete.parse_regions import create_bnf test_strs = ['vertices of surface -v r.Omega', 'r.Y_2 +v copy r.Y_1', 'vertices in (y <= 0.00001) & (x < 0.11)', 'vertices in ((y <= 0.00001) & (x < 0.11))', 'vertices in (((y <= 0.00001) & (x < 0.11)))', 'vertices in (((0.00001 < y) & (x < 0.11)))', 'vertices of group 0', """vertices of group 0 +v vertices of group 1 +c cells by afun""", 'all -v vertices in (y == 0.00001)', 'all -v vertices of surface', 'all -c r.DOmega_100', """r.Y_1 -v vertices of surface *c r.Z_8 *v vertices in (y > 0)""", 'vertices of surface +v vertices by pokus', 'cells of group 6 +c vertices by fn2_3c', """r.Y_1 *v (r.Y_2 +c (vertices in (y > 0) *v r.Y_32)) -v vertices of surface -c r.Y_5""", 'vertices by afun', 'vertex in r.Gamma_3', 'vertex 10', 'vertex 10, 20, 30', 'cell 10', 'cell 10, 20, 30', 'cell (0, 10), (1, 20), (0, 30)', 'vertex 10, 20 +v cell 30, 40', '(vertex 10, 20) +v (cell 30, 40)', 'cell (0, 10), (1, 20), (0, 30) +v vertex 10', 'cells by afun'] stack = [] bnf = create_bnf(stack) n_fail = 0 for test_str in test_strs: stack[:] = [] try: out = bnf.parseString(test_str) print out except: self.report('failed: %s' % test_str) n_fail += 1 self.report('%d failures' % n_fail) if n_fail: raise AssertionError return True sfepy-release_2015.1/tests/test_periodic_bc_2d.py000066400000000000000000000054571247364230400220520ustar00rootroot00000000000000# 01.06.2007, c # last revision: 25.02.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/various_formats/small2d.mesh' material_1 = { 'name' : 'coef', 'values' : {'coef' : 1.0}, } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_1 = { 'name' : 'Left', 'select' : 'vertices in (x < -0.499)', 'kind' : 'facet', } region_2 = { 'name' : 'Right', 'select' : 'vertices in (x > 0.499)', 'kind' : 'facet', } region_22 = { 'name' : 'Bottom', 'select' : 'vertices in (y < -0.499)', 'kind' : 'facet', } region_23 = { 'name' : 'Top', 'select' : 'vertices in (y > 0.499)', 'kind' : 'facet', } field_1 = { 'name' : '2_displacement', 'dtype' : 'real', 'shape' : (2,), 'region' : 'Omega', 'approx_order' : 2, } field_2 = { 'name' : 'pressure', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '2_displacement', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '2_displacement', 'dual' : 'u', } variable_3 = { 'name' : 'p', 'kind' : 'unknown field', 'field' : 'pressure', 'order' : 1, } variable_4 = { 'name' : 'q', 'kind' : 'test field', 'field' : 'pressure', 'dual' : 'p', } ebcs = {} epbc_10 = { 'name' : 'rl', 'region' : ['Left', 'Right'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_y_line', } epbc_12 = { 'name' : 'tb', 'region' : ['Top', 'Bottom'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_x_line', } from sfepy.discrete.fem.periodic import match_x_line, match_y_line functions = { 'match_x_line' : (match_x_line,), 'match_y_line' : (match_y_line,), } from sfepy.base.testing import TestCommon ## # 01.06.2007, c class Test( TestCommon ): ## # 01.06.2007, c def from_conf( conf, options ): from sfepy.discrete import Problem problem = Problem.from_conf(conf, init_equations=False) test = Test( problem = problem, conf = conf, options = options ) return test from_conf = staticmethod( from_conf ) ## # c: 01.06.2007, r: 18.02.2008 def test_pbc( self ): from sfepy.discrete import Variables, Conditions problem = self.problem conf = self.conf ebcs = Conditions.from_conf(conf.ebcs, problem.domain.regions) epbcs = Conditions.from_conf(conf.epbcs, problem.domain.regions) variables = Variables.from_conf(conf.variables, problem.fields) variables.equation_mapping(ebcs, epbcs, None, problem.functions) state = variables.create_state_vector() variables.apply_ebc(state) return variables.has_ebc(state) sfepy-release_2015.1/tests/test_periodic_bc_3d.py000066400000000000000000000043641247364230400220470ustar00rootroot00000000000000# 04.06.2007, c # last revision: 25.02.2008 from sfepy import data_dir filename_mesh = data_dir + '/meshes/various_formats/small3d.mesh' material_1 = { 'name' : 'coef', 'values' : {'coef' : 1.0}, } region_1000 = { 'name' : 'Omega', 'select' : 'all', } region_1 = { 'name' : 'Left', 'select' : 'vertices in (x < -0.499)', 'kind' : 'facet', } region_2 = { 'name' : 'Right', 'select' : 'vertices in (x > 0.499)', 'kind' : 'facet', } region_3 = { 'name' : 'Near', 'select' : 'vertices in (y < -0.499)', 'kind' : 'facet', } region_4 = { 'name' : 'Far', 'select' : 'vertices in (y > 0.499)', 'kind' : 'facet', } region_5 = { 'name' : 'Bottom', 'select' : 'vertices in (z < -0.499)', 'kind' : 'facet', } region_6 = { 'name' : 'Top', 'select' : 'vertices in (z > 0.499)', 'kind' : 'facet', } field_1 = { 'name' : '3_displacement', 'dtype' : 'real', 'shape' : (3,), 'region' : 'Omega', 'approx_order' : 2, } field_2 = { 'name' : 'pressure', 'dtype' : 'real', 'shape' : (1,), 'region' : 'Omega', 'approx_order' : 1, } variable_1 = { 'name' : 'u', 'kind' : 'unknown field', 'field' : '3_displacement', 'order' : 0, } variable_2 = { 'name' : 'v', 'kind' : 'test field', 'field' : '3_displacement', 'dual' : 'u', } variable_3 = { 'name' : 'p', 'kind' : 'unknown field', 'field' : 'pressure', 'order' : 1, } variable_4 = { 'name' : 'q', 'kind' : 'test field', 'field' : 'pressure', 'dual' : 'p', } ebcs = {} epbc_10 = { 'name' : 'rl', 'region' : ['Left', 'Right'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_x_plane', } epbc_12 = { 'name' : 'tb', 'region' : ['Top', 'Bottom'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_z_plane', } epbc_13 = { 'name' : 'nf', 'region' : ['Near', 'Far'], 'dofs' : {'u.all' : 'u.all', 'p.0' : 'p.0'}, 'match' : 'match_y_plane', } from sfepy.discrete.fem.periodic import match_x_plane, match_y_plane, match_z_plane functions = { 'match_x_plane' : (match_x_plane,), 'match_y_plane' : (match_y_plane,), 'match_z_plane' : (match_z_plane,), } from test_periodic_bc_2d import Test sfepy-release_2015.1/tests/test_permutations.py000066400000000000000000000027051247364230400217460ustar00rootroot00000000000000import os.path as op from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf = conf, options = options) def test_rcm(self): from sfepy import data_dir from sfepy.linalg import rcm, permute_in_place, save_sparse_txt from sfepy.discrete.fem import Mesh filename = data_dir + '/meshes/2d/special/square_triquad.mesh' self.report('testing reversed Cuthill-McKee permutation') conf_dir = op.dirname(__file__) mesh = Mesh.from_file(filename, prefix_dir=conf_dir) graph = mesh.create_conn_graph() graph0 = graph.copy() save_sparse_txt(op.join(self.options.out_dir, 'test_rcm_graph_orig'), graph, fmt='%d %d %d\n') perm = rcm(graph) permute_in_place(graph, perm) save_sparse_txt(op.join(self.options.out_dir, 'test_rcm_graph_rcm'), graph, fmt='%d %d %d\n') assert_((graph0.indptr != graph.indptr).any()) assert_((graph0.indices != graph.indices).any()) permute_in_place(graph, perm, inverse=True) save_sparse_txt(op.join(self.options.out_dir, 'test_rcm_graph_rcm_inv'), graph, fmt='%d %d %d\n') assert_((graph0.indptr == graph.indptr).all()) assert_((graph0.indices == graph.indices).all()) return True sfepy-release_2015.1/tests/test_poly_spaces.py000066400000000000000000000222361247364230400215360ustar00rootroot00000000000000""" Test continuity of polynomial basis and its gradients along an edge on :math:`y` line (2D) or on a face in :math:`x`-:math:`y` plane (3D) between two elements aligned with the coordinate system, stack one on top of the other. The evaluation occurs in several points shifted by a very small amount from the boundary between the elements into the top and the bottom element. For H1 space, the basis should be continuous. The components of its gradient parallel to the edge/face should be continuous as well, while the perpendicular component should have the same absolute value, but different sign in the top and the bottom element. All connectivity permutations of the two elements are tested. WARNING: Lagrange basis on 3_8 elements fails the test for order >= 3 for many connectivity permutations! """ import numpy as nm from sfepy.base.testing import TestCommon from sfepy.base.base import assert_ rsels = { '2_3' : 'vertices in (y > -0.1) & (y < 0.1)', '2_4' : 'vertices in (y > 0.9) & (y < 1.1)', '3_4' : 'vertices in (z > -0.1) & (z < 0.1)', '3_8' : 'vertices in (z > 0.9) & (z < 1.1)', } eps = 1e-5 shifts = { '2_3' : nm.array([[0.0, 0.0], [0.0, eps]], dtype=nm.float64), '2_4' : nm.array([[0.0, 1.0], [0.0, eps]], dtype=nm.float64), '3_4' : nm.array([[0.0, 0.0, 0.0], [0.0, 0.0, eps]], dtype=nm.float64), '3_8' : nm.array([[0.0, 0.0, 1.0], [0.0, 0.0, eps]], dtype=nm.float64), } def _gen_common_data(orders, gels, report): import sfepy from sfepy.base.base import Struct from sfepy.linalg import combine from sfepy.discrete import FieldVariable, Integral from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.discrete.fem.global_interp import get_ref_coors bases = ([ii for ii in combine([['2_4', '3_8'], ['lagrange', 'lobatto']])] + [ii for ii in combine([['2_3', '3_4'], ['lagrange']])]) for geom, poly_space_base in bases: report('geometry: %s, base: %s' % (geom, poly_space_base)) order = orders[geom] integral = Integral('i', order=order) aux = '' if geom in ['2_4', '3_8'] else 'z' mesh0 = Mesh.from_file('meshes/elements/%s_2%s.mesh' % (geom, aux), prefix_dir=sfepy.data_dir) gel = gels[geom] perms = gel.get_conn_permutations() qps, qp_weights = integral.get_qp(gel.surface_facet.name) zz = nm.zeros_like(qps[:, :1]) qps = nm.hstack(([qps] + [zz])) shift = shifts[geom] rcoors = nm.ascontiguousarray(qps + shift[:1, :] - shift[1:, :]) ccoors = nm.ascontiguousarray(qps + shift[:1, :] + shift[1:, :]) for ir, pr in enumerate(perms): for ic, pc in enumerate(perms): report('ir: %d, ic: %d' % (ir, ic)) report('pr: %s, pc: %s' % (pr, pc)) mesh = mesh0.copy() conn = mesh.conns[0] conn[0, :] = conn[0, pr] conn[1, :] = conn[1, pc] cache = Struct(mesh=mesh) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') region = domain.create_region('Facet', rsels[geom], 'facet') field = Field.from_args('f', nm.float64, shape=1, region=omega, approx_order=order, poly_space_base=poly_space_base) var = FieldVariable('u', 'unknown', field) report('# dofs: %d' % var.n_dof) vec = nm.empty(var.n_dof, dtype=var.dtype) ap = field.aps[0] ps = ap.interp.poly_spaces['v'] dofs = field.get_dofs_in_region_group(region, 0, merge=False) edofs, fdofs = nm.unique(dofs[1]), nm.unique(dofs[2]) rrc, rcells, rstatus = get_ref_coors(field, rcoors, cache=cache) crc, ccells, cstatus = get_ref_coors(field, ccoors, cache=cache) assert_((rstatus == 0).all() and (cstatus == 0).all()) yield (geom, poly_space_base, qp_weights, mesh, ir, ic, ap, ps, rrc, rcells[0, 1], crc, ccells[0, 1], vec, edofs, fdofs) class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.discrete.fem.geometry_element import GeometryElement gels = {} for key in ['2_3', '2_4', '3_4', '3_8']: gel = GeometryElement(key) gel.create_surface_facet() gels[key] = gel return Test(conf=conf, options=options, gels=gels) def test_continuity(self): ok = True orders = {'2_3' : 3, '2_4' : 3, '3_4' : 4, '3_8' : 3} bads = [] bad_families = set() for (geom, poly_space_base, qp_weights, mesh, ir, ic, ap, ps, rrc, rcell, crc, ccell, vec, edofs, fdofs) in _gen_common_data(orders, self.gels, self.report): if poly_space_base == 'lagrange': rbf = ps.eval_base(rrc) cbf = ps.eval_base(crc) else: rbf = ps.eval_base(rrc, ori=ap.ori[:1]) cbf = ps.eval_base(crc, ori=ap.ori[1:]) dofs = nm.r_[edofs, fdofs] res = nm.zeros((2, dofs.shape[0]), dtype=nm.int32) res[0, :] = dofs for ii, ip in enumerate(dofs): vec.fill(0.0) vec[ip] = 1.0 evec = vec[ap.econn] rvals = nm.dot(rbf, evec[rcell]) cvals = nm.dot(cbf, evec[ccell]) _ok = nm.allclose(rvals, cvals, atol=1e-14, rtol=0.0) res[1, ii] = _ok if not _ok: bads.append([geom, poly_space_base, ir, ic, ip]) bad_families.add((geom, poly_space_base)) ok = ok and _ok self.report('results (dofs, status: 1 ok, 0 failure):\n%s' % res) if not ok: self.report('continuity errors:\n', bads) self.report('%d in total!' % len(bads)) self.report('continuity errors occurred in these spaces:\n', bad_families) return ok def test_gradients(self): from sfepy.discrete.fem.mappings import VolumeMapping ok = True orders = {'2_3' : 3, '2_4' : 3, '3_4' : 4, '3_8' : 3} bads = [] bad_families = set() for (geom, poly_space_base, qp_weights, mesh, ir, ic, ap, ps, rrc, rcell, crc, ccell, vec, edofs, fdofs) in _gen_common_data(orders, self.gels, self.report): conn = mesh.conns[0] gel = self.gels[geom] geo_ps = ap.interp.get_geom_poly_space('v') rmapping = VolumeMapping(mesh.coors, conn[rcell:rcell+1], poly_space=geo_ps) rori = ap.ori[:1] if ap.ori is not None else None rvg = rmapping.get_mapping(rrc, qp_weights, poly_space=ps, ori=rori) rbfg = rvg.bfg cmapping = VolumeMapping(mesh.coors, conn[ccell:ccell+1], poly_space=geo_ps) cori = ap.ori[1:] if ap.ori is not None else None cvg = cmapping.get_mapping(crc, qp_weights, poly_space=ps, ori=cori) cbfg = cvg.bfg dofs = nm.r_[edofs, fdofs] res = nm.zeros((2, dofs.shape[0]), dtype=nm.int32) res[0, :] = dofs for ii, ip in enumerate(dofs): vec.fill(0.0) vec[ip] = 1.0 evec = vec[ap.econn] rvals = nm.dot(rbfg, evec[rcell])[0] cvals = nm.dot(cbfg, evec[ccell])[0] okx = nm.allclose(rvals[:, 0], cvals[:, 0], atol=1e-12, rtol=0.0) if gel.dim == 2: oky = nm.allclose(rvals[:, 1], -cvals[:, 1], atol=1e-12, rtol=0.0) _ok = okx and oky else: oky = nm.allclose(rvals[:, 1], cvals[:, 1], atol=1e-12, rtol=0.0) okz = nm.allclose(rvals[:, 2], -cvals[:, 2], atol=1e-12, rtol=0.0) _ok = okx and oky and okz res[1, ii] = _ok if not _ok: bads.append([geom, poly_space_base, ir, ic, ip]) bad_families.add((geom, poly_space_base)) ok = ok and _ok self.report('results (dofs, status: 1 ok, 0 failure):\n%s' % res) if not ok: self.report('gradient continuity errors:\n', bads) self.report('%d in total!' % len(bads)) self.report('gradient continuity errors occurred in these' ' spaces:\n', bad_families) return ok sfepy-release_2015.1/tests/test_projections.py000066400000000000000000000047021247364230400215520ustar00rootroot00000000000000import os.path as op import numpy as nm import sfepy from sfepy.discrete import FieldVariable from sfepy.discrete.fem import Mesh, FEDomain, Field from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): mesh = Mesh.from_file('meshes/2d/square_unit_tri.mesh', prefix_dir=sfepy.data_dir) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') field = Field.from_args('linear', nm.float64, 'scalar', omega, approx_order=1) test = Test(conf=conf, options=options, omega=omega, field=field) return test def test_mass_matrix(self): from sfepy.discrete.projections import create_mass_matrix field = self.field mtx = create_mass_matrix(field) assert_(mtx.shape == (field.n_nod, field.n_nod)) assert_(abs(mtx.sum() - 1.0) < 1e-14) return True def test_projection_tri_quad(self): from sfepy.discrete.projections import make_l2_projection source = FieldVariable('us', 'unknown', self.field) coors = self.field.get_coor() vals = nm.sin(2.0 * nm.pi * coors[:,0] * coors[:,1]) source.set_data(vals) name = op.join(self.options.out_dir, 'test_projection_tri_quad_source.vtk') source.save_as_mesh(name) mesh = Mesh.from_file('meshes/2d/square_quad.mesh', prefix_dir=sfepy.data_dir) domain = FEDomain('domain', mesh) omega = domain.create_region('Omega', 'all') field = Field.from_args('bilinear', nm.float64, 'scalar', omega, approx_order=1) target = FieldVariable('ut', 'unknown', field) make_l2_projection(target, source) name = op.join(self.options.out_dir, 'test_projection_tri_quad_target.vtk') target.save_as_mesh(name) bbox = self.field.domain.get_mesh_bounding_box() x = nm.linspace(bbox[0, 0] + 0.001, bbox[1, 0] - 0.001, 20) y = nm.linspace(bbox[0, 1] + 0.001, bbox[1, 1] - 0.001, 20) xx, yy = nm.meshgrid(x, y) test_coors = nm.c_[xx.ravel(), yy.ravel()].copy() vec1 = source.evaluate_at(test_coors) vec2 = target.evaluate_at(test_coors) ok = (nm.abs(vec1 - vec2) < 0.01).all() return ok sfepy-release_2015.1/tests/test_quadratures.py000066400000000000000000000106071247364230400215540ustar00rootroot00000000000000import numpy as nm try: import sympy as sm except ImportError: sm = None from sfepy.base.testing import TestCommon from sfepy.base.base import assert_, ordered_iteritems def symarray(prefix, shape): """ Copied from SymPy so that the tests pass for its different versions. """ arr = nm.empty(shape, dtype=object) for index in nm.ndindex(shape): arr[index] = sm.Symbol('%s_%s' % (prefix, '_'.join(map(str, index)))) return arr def get_poly(order, dim, is_simplex=False): """ Construct a polynomial of given `order` in space dimension `dim`, and integrate it symbolically over a rectangular or simplex domain for coordinates in [0, 1]. """ xs = symarray('x', dim) opd = max(1, int((order + 1) / dim)) poly = 1.0 oo = 0 for ii, x in enumerate(xs): if ((oo + opd) > order) or (ii == (len(xs) - 1)): opd = max(order - oo, 0) poly *= (x**opd + 1) oo += opd assert_(oo == order) limits = [[xs[ii], 0, 1] for ii in range(dim)] if is_simplex: for ii in range(1, dim): for ip in range(0, ii): limits[ii][2] -= xs[ip] integral = sm.integrate(poly, *reversed(limits)) return xs, poly, limits, integral class Test(TestCommon): @staticmethod def from_conf( conf, options ): test = Test(conf=conf, options=options) return test def test_weight_consistency(self): """ Test if integral of 1 (= sum of weights) gives the domain volume. """ from sfepy.discrete.quadratures import quadrature_tables ok = True for geometry, qps in ordered_iteritems(quadrature_tables): self.report('geometry:', geometry) for order, qp in ordered_iteritems(qps): diff = nm.abs(qp.weights.sum() - qp.volume) _ok = diff < 1e-14 self.report('order %d: %s (%.2e)' % (order, _ok, diff)) ok = ok and _ok return ok def test_quadratures(self): """ Test if the quadratures have orders they claim to have, using symbolic integration by sympy. """ from sfepy.discrete.quadratures import quadrature_tables, tp_geometries from sfepy.discrete.integrals import Integral if sm is None: self.report('cannot import sympy, skipping') return True quad = Integral('test_integral') ok = True failed = [] for geometry, qps in ordered_iteritems(quadrature_tables): self.report('geometry:', geometry) if geometry in tp_geometries: iter_qp = xrange(1, 11) elif geometry == '2_3': iter_qp = xrange(1, 25) elif geometry == '3_4': iter_qp = xrange(1, 12) else: iter_qp = sorted(qps.keys()) for order in iter_qp: self.report('order:', order) aux = self._test_quadratures(quad, geometry, order) _ok, integral, val = aux if not _ok: failed.append((geometry, order, float(integral), val)) ok = ok and _ok if not ok: self.report('failed:') for aux in failed: self.report(aux, '%.1e' % abs(aux[2] - aux[3])) return ok def _test_quadratures(self, quad, geometry, order): dim = int(geometry[0]) n_v = int(geometry[2]) is_simplex = n_v == (dim + 1) porder = order if is_simplex else dim * order xs, poly, limits, integral = get_poly(porder, dim, is_simplex=is_simplex) self.report(' polynomial:', poly) self.report(' limits:', limits) self.report(' integral:', integral) def fun(coors): vals = nm.empty(coors.shape[0], dtype=nm.float64) subs = {} for ir, cc in enumerate(coors): for ic, x in enumerate(xs): subs[x] = coors[ir,ic] vals[ir] = float(poly.subs(subs)) return vals val = quad.integrate(fun, order=order, geometry=geometry) ok = nm.allclose(val, float(integral), rtol=0.0, atol=1e-11) self.report(' sym. == num.: %f == %f -> %s' % (float(integral), val, ok)) return ok, integral, val sfepy-release_2015.1/tests/test_regions.py000066400000000000000000000113431247364230400206600ustar00rootroot00000000000000import numpy as nm from sfepy.base.conf import transform_functions from sfepy.base.testing import TestCommon def get_vertices(coors, domain=None): x, z = coors[:,0], coors[:,2] return nm.where((z < 0.1) & (x < 0.1))[0] def get_cells(coors, domain=None): return nm.where(coors[:, 0] < 0)[0] class Test(TestCommon): @staticmethod def from_conf( conf, options ): from sfepy import data_dir from sfepy.discrete.fem import Mesh, FEDomain from sfepy.discrete import Functions mesh = Mesh('test mesh', data_dir + '/meshes/various_formats/abaqus_tet.inp') mesh.nodal_bcs['set0'] = [0, 7] domain = FEDomain('test domain', mesh) conf_functions = { 'get_vertices' : (get_vertices,), 'get_cells' : (get_cells,), } functions = Functions.from_conf(transform_functions(conf_functions)) test = Test(conf=conf, options=options, domain=domain, functions=functions) return test def test_selectors(self): """ Test basic region selectors. """ selectors = [ ['all', 'cell'], ['vertices of surface', 'facet'], ['vertices of group 0', 'facet'], ['vertices of set set0', 'vertex'], ['vertices in (z < 0.1) & (x < 0.1)', 'facet'], ['vertices by get_vertices', 'cell'], ['vertex 0, 1, 2', 'vertex'], ['vertex in r.r6', 'vertex'], ['cells of group 0', 'cell'], # ['cells of set 0', 'cell'], not implemented... ['cells by get_cells', 'cell'], ['cell 1, 4, 5', 'cell'], ['cell (0, 1), (0, 4), (0, 5)', 'cell'], ['copy r.r5', 'cell'], ['r.r5', 'cell'], ] vertices = [ [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [0, 1, 3, 7], [0, 7], [1, 2, 3, 4, 5, 9, 11], [1, 2, 3, 4, 5, 9, 11], [0, 1, 2], [0], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 8], [0, 1, 2, 3, 4, 5, 6, 8], [1, 2, 3, 4, 5, 9, 11], [1, 2, 3, 4, 5, 9, 11], ] ok = True for ii, sel in enumerate(selectors): self.report('select:', sel) reg = self.domain.create_region('r%d' % ii, sel[0], kind=sel[1], functions=self.functions) _ok = ((len(reg.vertices) == len(vertices[ii])) and (reg.vertices == vertices[ii]).all()) self.report(' vertices:', _ok) ok = ok and _ok return ok def test_operators(self): """ Test operators in region selectors. """ ok = True r1 = self.domain.create_region('r1', 'all') sel = 'r.r1 -v vertices of group 0' self.report('select:', sel) reg = self.domain.create_region('reg', sel, kind='vertex') av = [2, 4, 5, 6, 8, 9, 10, 11, 12] _ok = (reg.vertices == nm.array(av)).all() self.report(' vertices:', _ok) ok = ok and _ok sel = 'vertex 0, 1, 2 +v vertices of group 0' self.report('select:', sel) reg = self.domain.create_region('reg', sel, kind='vertex') av = [0, 1, 2, 3, 7] _ok = (reg.vertices == nm.array(av)).all() self.report(' vertices:', _ok) ok = ok and _ok sel = 'vertex 0, 1, 2 *v vertices of group 0' self.report('select:', sel) reg = self.domain.create_region('reg', sel, kind='vertex') av = [0, 1] _ok = (reg.vertices == nm.array(av)).all() self.report(' vertices:', _ok) ok = ok and _ok sel = 'r.r1 -c cell 1, 4, 5' self.report('select:', sel) reg = self.domain.create_region('reg', sel) _ok = (nm.setdiff1d(r1.cells[0], [1, 4, 5]) == reg.cells[0]).all() self.report(' cells:', _ok) ok = ok and _ok sel = 'cell 8, 3 +c cell 1, 4, 5' self.report('select:', sel) reg = self.domain.create_region('reg', sel) cells = [1, 3, 4, 5, 8] _ok = (reg.cells == nm.array(cells)).all() self.report(' cells:', _ok) ok = ok and _ok sel = 'cell 8, 3, 2 *c cell 8, 4, 2, 7' self.report('select:', sel) reg = self.domain.create_region('reg', sel) cells = [2, 8] _ok = (reg.cells == nm.array(cells)).all() self.report(' cells:', _ok) ok = ok and _ok return ok sfepy-release_2015.1/tests/test_semismooth_newton.py000066400000000000000000000146441247364230400230020ustar00rootroot00000000000000import sympy as sm import numpy as nm import scipy.sparse as sps from sfepy.base.base import dict_to_struct from sfepy.base.testing import TestCommon conf = { 'name' : 'semismooth_newton', 'kind' : 'nls.semismooth_newton', 'semismooth' : True, 'i_max' : 10, 'eps_a' : 1e-8, 'eps_r' : 1e-2, 'macheps' : 1e-16, 'lin_red' : 1e-2, # Linear system error < (eps_a * lin_red). 'ls_red_reg' : 0.1, 'ls_red_alt' : 0.01, 'ls_red_warp' : 0.001, 'ls_on' : 2.0, 'ls_min' : 1e-10, ## 'log' : {'plot' : 'aux.png'}, } ls_conf = { 'name' : 'ls', 'kind' : 'ls.scipy_direct', } alpha = 30.0 * nm.pi / 180.0 ca = nm.cos(alpha) sa = nm.sin(alpha) # Coefficient of friction. fc = 0.01 # Spring (bar) stiffnesses. ks = nm.ones((7,), dtype=nm.float64) # Load vector. fs = nm.array([0, 0, 1, 1, -1, -1], dtype=nm.float64) def eval_matrix(mtx, **kwargs): num_mtx = nm.zeros(mtx.shape, dtype=nm.float64) mtx = mtx.subs(kwargs) for ir in range(mtx.shape[0]): for ic in range(mtx.shape[1]): num_mtx[ir,ic] = float(mtx[ir,ic]) return num_mtx def convert_to_csr(m_in): m_out = {} for key, mtx in m_in.iteritems(): m_out[key] = sps.csr_matrix(mtx) return m_out def define_matrices(): e = sm.zeros(7, 1) e[0] = sm.sympify('u1') e[1] = sm.sympify('c * u3 + s * v3') e[2] = sm.sympify('u2 - u1') e[3] = sm.sympify('v4 + u2n') e[4] = sm.sympify('u4 - u3') e[5] = sm.sympify('v3 + u1n') e[6] = sm.sympify('c * u4 + s * v4 - c * u1 + s * u1n') k = sm.Matrix(7, 1, lambda i, j: sm.Symbol('k%d' % i)) psi = (k.T * e.applyfunc(lambda x: x**2))[0] work = sm.sympify('u1 * g1 + u2 * g2') w = ['u1', 'u2', 'u3', 'u4', 'v3', 'v4'] wbar = w[:2] g = ['g1', 'g2'] mtx_a = sm.zeros(6, 6) for ir in range(mtx_a.shape[0]): for ic in range(mtx_a.shape[1]): mtx_a[ir,ic] = sm.diff(sm.diff(psi, w[ir]), w[ic]) mtx_b_bar = sm.zeros(2, 6) for ir in range(mtx_b_bar.shape[0]): for ic in range(mtx_b_bar.shape[1]): mtx_b_bar[ir,ic] = sm.diff(sm.diff(work, g[ir]), w[ic]) mtx_b = sm.zeros(2, 2) for ir in range(mtx_b.shape[0]): for ic in range(mtx_b.shape[1]): mtx_b[ir,ic] = sm.diff(sm.diff(work, wbar[ir]), g[ic]) mtx_c = sm.eye(2) sn1 = sm.diff(psi, 'u1n').subs('u1n', 0) sn2 = sm.diff(psi, 'u2n').subs('u2n', 0) sn = sm.Matrix([sn1, sn2]) mtx_d = sm.zeros(2, 6) for ir in range(mtx_d.shape[0]): for ic in range(mtx_d.shape[1]): mtx_d[ir,ic] = sm.diff(sn[ir], w[ic]) subsd = {'c' : ca, 's' : sa} for ii, _k in enumerate(k): subsd['k%d' % ii] = ks[ii] m = { 'A' : eval_matrix(mtx_a, **subsd), 'Bb' : eval_matrix(mtx_b_bar), 'B' : eval_matrix(mtx_b), 'C' : eval_matrix(mtx_c), } ms = convert_to_csr(m) m['sn'] = sn.subs(subsd) m['D'] = mtx_d.subs(subsd) m['fs'] = fs return m, ms, w class Test(TestCommon): @staticmethod def from_conf(conf, options): test = Test(conf=conf, options=options) test.m, test.ms, test.w_names = define_matrices() return test def test_semismooth_newton(self): import numpy as nm from sfepy.solvers import Solver ns = [0, 6, 2, 2] offsets = nm.cumsum(ns) nx = offsets[-1] iw = slice(offsets[0], offsets[1]) ig = slice(offsets[1], offsets[2]) il = slice(offsets[2], offsets[3]) def fun_smooth(vec_x): xw = vec_x[iw] xg = vec_x[ig] xl = vec_x[il] m = self.ms rw = m['A'] * xw - m['Bb'].T * xg - self.m['fs'] rg = m['Bb'] * xw + xl * xg rwg = nm.r_[rw, rg] return rwg def fun_smooth_grad(vec_x): xw = vec_x[iw] xl = vec_x[il] xg = vec_x[ig] m = self.m mzl = nm.zeros((6, 2), dtype=nm.float64) mw = nm.c_[m['A'], -m['Bb'].T, mzl] mg = nm.c_[m['Bb'], nm.diag(xl), nm.diag(xg)] mx = nm.r_[mw, mg] mx = sps.csr_matrix(mx) return mx def fun_a(vec_x): xw = vec_x[iw] xg = vec_x[ig] subsd = {} for ii, key in enumerate(self.w_names): subsd[key] = xw[ii] sn = eval_matrix(self.m['sn'], **subsd).squeeze() ra = nm.abs(xg) - fc * nm.abs(sn) return -ra def fun_a_grad(vec_x): xw = vec_x[iw] xg = vec_x[ig] xl = vec_x[il] subsd = {} for ii, key in enumerate(self.w_names): subsd[key] = xw[ii] md = eval_matrix(self.m['D'], **subsd) sn = eval_matrix(self.m['sn'], **subsd).squeeze() ma = nm.zeros((xl.shape[0], nx), dtype=nm.float64) ma[:,iw] = - fc * nm.sign(sn)[:,None] * md ma[:,ig] = nm.sign(xg)[:,None] * self.m['C'] return -sps.csr_matrix(ma) def fun_b(vec_x): xl = vec_x[il] return xl def fun_b_grad(vec_x): xl = vec_x[il] mb = nm.zeros((xl.shape[0], nx), dtype=nm.float64) mb[:,il] = self.m['C'] return sps.csr_matrix(mb) vec_x0 = 0.1 * nm.ones((nx,), dtype=nm.float64) lin_solver = Solver.any_from_conf(dict_to_struct(ls_conf)) status = {} solver = Solver.any_from_conf(dict_to_struct(conf), fun_smooth=fun_smooth, fun_smooth_grad=fun_smooth_grad, fun_a=fun_a, fun_a_grad=fun_a_grad, fun_b=fun_b, fun_b_grad=fun_b_grad, lin_solver=lin_solver, status=status) vec_x = solver(vec_x0) xw = vec_x[iw] xg = vec_x[ig] xl = vec_x[il] self.report('x:', xw) self.report('g:', xg) self.report('l:', xl) subsd = {} for ii, key in enumerate(self.w_names): subsd[key] = xw[ii] sn = eval_matrix(self.m['sn'], **subsd).squeeze() self.report('sn:', sn) ok = status['condition'] == 0 return ok sfepy-release_2015.1/tests/test_sparse.py000066400000000000000000000041441247364230400205100ustar00rootroot00000000000000from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_compose_sparse(self): import numpy as nm import scipy.sparse as sps from sfepy.linalg import compose_sparse ok = True # basic ma = sps.csr_matrix([[1, 0], [0, 1]]) mb = sps.coo_matrix([[1, 1]]) mk = compose_sparse([[ma, mb.T], [mb, 0]]) expected = nm.array([[1, 0, 1], [0, 1, 1], [1, 1, 0]]) _ok = nm.alltrue(mk.toarray() == expected) self.report('basic: %s' % _ok) ok = ok and _ok # sizes and slices ma = sps.csr_matrix([[2, 3]]) mb = sps.coo_matrix([[4, 5, 6]]) mk = compose_sparse([[ma, mb]], col_sizes=[2, 3]) expected = nm.array([[2, 3, 4, 5, 6]]) _ok = nm.alltrue(mk.toarray() == expected) self.report('sizes: %s' % _ok) ok = ok and _ok i1 = slice(1, 3) i2 = slice(8, 11) mk = compose_sparse([[ma, mb]], col_sizes=[i1, i2]) expected = nm.array([[0, 2, 3, 0, 0, 0, 0, 0, 4, 5, 6]]) _ok = nm.alltrue(mk.toarray() == expected) self.report('slices: %s' % _ok) ok = ok and _ok # zero block sizes and slices mk = compose_sparse([[0, ma, 0, mb, 0]], col_sizes=[1, 2, 5, 3, 1]) expected = nm.array([[0, 2, 3, 0, 0, 0, 0, 0, 4, 5, 6, 0]]) _ok = nm.alltrue(mk.toarray() == expected) self.report('zero block sizes: %s' % _ok) ok = ok and _ok expected = nm.array([[0, 2, 3, 0, 4, 5, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 6]]) i0 = slice(0, 1) i1 = slice(1, 3) i2 = slice(4, 7) i3 = slice(8, 11) mk = compose_sparse([[0, ma, mb, 0], [0, 0, 0, mb]], col_sizes=[i0, i1, i2, i3]) _ok = nm.alltrue(mk.toarray() == expected) self.report('zero block slices: %s' % _ok) ok = ok and _ok return ok sfepy-release_2015.1/tests/test_splinebox.py000066400000000000000000000034471247364230400212230ustar00rootroot00000000000000from sfepy.base.testing import TestCommon import numpy as nm from sfepy import data_dir def tetravolume(cells, vertices): vol = 0.0 c1 = nm.ones((4,4), dtype=nm.float64) mul = 1.0 / 6.0 for ic in cells: c1[:,:3] = vertices[ic,:] vol += mul * nm.linalg.det(c1) return -vol expected_volumes = (1.22460186e-4, 1.46950423e-4, 1.22460186e-4) class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_spbox(self): """ Check volume change of the mesh which is deformed using the SplineBox functions. """ from sfepy.discrete.fem import Mesh from sfepy.mesh.splinebox import SplineBox mesh = Mesh.from_file(data_dir + '/meshes/3d/cylinder.vtk') vol0 = tetravolume(mesh.conns[0], mesh.coors) bbox = nm.array(mesh.get_bounding_box()).T spbox = SplineBox(bbox, mesh.coors) cpoints0 = spbox.get_control_points(init=True) for ii in range(4): for jj in range(4): spbox.change_shape((0, ii, jj), [-0.02, 0, 0]) coors = spbox.evaluate() vol1 = tetravolume(mesh.conns[0], coors) mesh.coors = coors spbox.set_control_points(cpoints0) coors = spbox.evaluate() vol2 = tetravolume(mesh.conns[0], coors) ok = True actual_volumes = (vol0, vol1, vol2) for ii in range(3): relerr = abs(actual_volumes[ii] - expected_volumes[ii])\ / expected_volumes[ii] ok = ok and (relerr < 1e-6) if not ok: self.report('expected volumes:') self.report(expected_volumes) self.report('actual volumes:') self.report(actual_volumes) return ok sfepy-release_2015.1/tests/test_tensors.py000066400000000000000000000162601247364230400207120ustar00rootroot00000000000000from sfepy.base.testing import TestCommon def get_ortho_d(phi1, phi2): import numpy as nm import sfepy.mechanics.tensors as tn v1 = nm.array([nm.cos(phi1), nm.sin(phi1), 0]) v2 = nm.array([nm.cos(phi2), nm.sin(phi2), 0]) om1 = nm.outer(v1, v1) om2 = nm.outer(v2, v2) ii = tn.get_sym_indices(3) o1 = om1.flat[ii] o2 = om2.flat[ii] dr = nm.outer(o1, o1) + nm.outer(o2, o2) return dr, v1, v2, om1, om2 class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_tensors(self): import numpy as nm import sfepy.mechanics.tensors as tn ok = True a_full = 2.0 * nm.ones((5,3,3), dtype=nm.float64) a_sym = 2.0 * nm.ones((5,6), dtype=nm.float64) _tr = nm.array([6.0] * 5, dtype=nm.float64) _vt_full = 2.0 * nm.tile(nm.eye(3, dtype=nm.float64), (5,1,1)) _vt_sym = nm.tile(nm.array([2, 2, 2, 0, 0, 0], dtype=nm.float64), (5,1,1)) _dev_full = a_full - _vt_full _dev_sym = a_sym - _vt_sym _vms = 6.0 * nm.ones((5,1), dtype=nm.float64) tr = tn.get_trace(a_full, sym_storage=False) _ok = nm.allclose(tr, _tr, rtol=0.0, atol=1e-14) self.report('trace full: %s' % _ok) ok = ok and _ok tr = tn.get_trace(a_sym, sym_storage=True) ok = ok and nm.allclose(tr, _tr, rtol=0.0, atol=1e-14) self.report('trace sym: %s' % _ok) ok = ok and _ok vt = tn.get_volumetric_tensor(a_full, sym_storage=False) _ok = nm.allclose(vt, _vt_full, rtol=0.0, atol=1e-14) self.report('volumetric tensor full: %s' % _ok) ok = ok and _ok vt = tn.get_volumetric_tensor(a_sym, sym_storage=True) _ok = nm.allclose(vt, _vt_sym, rtol=0.0, atol=1e-14) self.report('volumetric tensor sym: %s' % _ok) ok = ok and _ok dev = tn.get_deviator(a_full, sym_storage=False) _ok = nm.allclose(dev, _dev_full, rtol=0.0, atol=1e-14) self.report('deviator full: %s' % _ok) ok = ok and _ok aux = (dev * nm.transpose(dev, (0, 2, 1))).sum(axis=1).sum(axis=1) vms2 = nm.sqrt((3.0/2.0) * aux)[:,None] dev = tn.get_deviator(a_sym, sym_storage=True) _ok = nm.allclose(dev, _dev_sym, rtol=0.0, atol=1e-14) self.report('deviator sym: %s' % _ok) ok = ok and _ok vms = tn.get_von_mises_stress(a_full, sym_storage=False) _ok = nm.allclose(vms, _vms, rtol=0.0, atol=1e-14) self.report('von Mises stress full: %s' % _ok) ok = ok and _ok vms = tn.get_von_mises_stress(a_sym, sym_storage=True) _ok = nm.allclose(vms, _vms, rtol=0.0, atol=1e-14) self.report('von Mises stress sym: %s' % _ok) ok = ok and _ok _ok = nm.allclose(vms2, _vms, rtol=0.0, atol=1e-14) self.report('von Mises stress via deviator: %s' % _ok) ok = ok and _ok t2s = nm.arange(9).reshape(3, 3) t2s = (t2s + t2s.T) / 2 t4 = tn.get_t4_from_t2s(t2s) expected = nm.array([[[[0, 4], [4, 2]], [[4, 8], [8, 6]]], [[[4, 8], [8, 6]], [[2, 6], [6, 4]]]]) _ok = nm.allclose(t4, expected, rtol=0.0, atol=1e-14) self.report('full 4D tensor from 2D matrix, 2D space: %s' % _ok) ok = ok and _ok return ok def test_transform_data(self): import numpy as nm from sfepy.mechanics.tensors import transform_data ok = True coors = nm.eye(3) data = nm.eye(3) expected = nm.zeros((3, 3)) expected[[0, 1, 2], [0, 0, 2]] = 1.0 out = transform_data(data, coors) _ok = nm.allclose(out, expected, rtol=0.0, atol=1e-14) self.report('vectors in cylindrical coordinates: %s' % _ok) ok = ok and _ok data = nm.zeros((3, 6)) data[:, :3] = [[1, 2, 3]] expected = data.copy() expected[1, [0, 1]] = expected[1, [1, 0]] out = transform_data(data, coors) _ok = nm.allclose(out, expected, rtol=0.0, atol=1e-14) self.report('sym. tensors in cylindrical coordinates: %s' % _ok) ok = ok and _ok return ok def test_transform_data4(self): import numpy as nm import sfepy.mechanics.tensors as tn ok = True if not hasattr(nm, 'einsum'): self.report('no numpy.einsum(), skipping!') return ok expected = nm.zeros((6, 6), dtype=nm.float64) expected[0, 0] = expected[1, 1] = 1.0 phi = nm.deg2rad(30.) dr, v1, v2, om1, om2 = get_ortho_d(phi, phi + nm.deg2rad(90.)) # Rotate coordinate system by phi. mtx = tn.make_axis_rotation_matrix([0., 0., 1.], phi) do = tn.transform_data(dr[None, ...], mtx=mtx[None, ...]) _ok = nm.allclose(do, expected, rtol=0.0, atol=1e-14) self.report('sym. 4th-th order tensor rotation: %s' % _ok) ok = ok and _ok dt, vt1, vt2, omt1, omt2 = get_ortho_d(0, nm.deg2rad(90.)) expected1 = nm.zeros((3, 3), dtype=nm.float64) expected1[0, 0] = 1.0 expected2 = nm.zeros((3, 3), dtype=nm.float64) expected2[1, 1] = 1.0 omr1 = nm.einsum('pq,ip,jq->ij', om1, mtx, mtx) omr2 = nm.einsum('pq,ip,jq->ij', om2, mtx, mtx) ii = tn.get_sym_indices(3) jj = tn.get_full_indices(3) o1 = om1.flat[ii] o2 = om2.flat[ii] omr12 = tn.transform_data(o1[None,...], mtx=mtx[None, ...])[0, jj] omr22 = tn.transform_data(o2[None,...], mtx=mtx[None, ...])[0, jj] _ok1 = nm.allclose(omr1, expected1, rtol=0.0, atol=1e-14) _ok2 = nm.allclose(omr12, expected1, rtol=0.0, atol=1e-14) self.report('einsum-transform_data compatibility 1: %s %s' % (_ok1, _ok2)) ok = ok and _ok1 and _ok2 _ok1 = nm.allclose(omr2, expected2, rtol=0.0, atol=1e-14) _ok2 = nm.allclose(omr22, expected2, rtol=0.0, atol=1e-14) self.report('einsum-transform_data compatibility 2: %s %s' % (_ok1, _ok2)) ok = ok and _ok1 and _ok2 return ok def test_stress_transform(self): import numpy as nm from sfepy.mechanics.tensors import StressTransform stress_2pk = nm.arange(6) + 1 def_grad = nm.array([[0.5047051 , 0.71142596, 0.10180901], [0.13427707, 0.87156371, 0.42612244], [0.27509466, 0.6262605 , 0.87659051]]) det = nm.linalg.det(def_grad) aux = stress_2pk[[0, 3, 4, 3, 1, 5, 4, 5, 2]].reshape(3, 3) expected = nm.dot(nm.dot(def_grad, aux), def_grad.T) / det expected = expected.ravel()[[0, 4, 8, 1, 2, 5]][:, None] expected = nm.tile(expected, (5, 1, 1, 1)) transform = StressTransform(nm.tile(def_grad, (5, 1, 1, 1))) stress_2pk.shape = (6, 1) ts = nm.tile(stress_2pk.reshape((6, 1)), (5, 1, 1, 1)) stress_cauchy = transform.get_cauchy_from_2pk(ts) ok = nm.allclose(stress_cauchy, expected, rtol=0.0, atol=1e-12) self.report('stress: Cauchy from second Piola-Kirchhoff: %s' % ok) return ok sfepy-release_2015.1/tests/test_term_call_modes.py000066400000000000000000000232011247364230400223370ustar00rootroot00000000000000from copy import copy import numpy as nm from sfepy.base.testing import TestCommon from sfepy.base.base import ordered_iteritems from sfepy import data_dir filename_meshes = [data_dir + '/meshes/elements/%s_2.mesh' % geom for geom in ['1_2', '2_3', '2_4', '3_4', '3_8']] def make_term_args(arg_shapes, arg_kinds, arg_types, ats_mode, domain, material_value=None): from sfepy.base.base import basestr from sfepy.discrete import FieldVariable, Material, Variables, Materials from sfepy.discrete.fem import Field from sfepy.mechanics.tensors import dim2sym omega = domain.regions['Omega'] dim = domain.shape.dim sym = dim2sym(dim) def _parse_scalar_shape(sh): if isinstance(sh, basestr): if sh == 'D': return dim elif sh == 'S': return sym elif sh == 'N': # General number ;) return 5 else: return int(sh) else: return sh def _parse_tuple_shape(sh): if isinstance(sh, basestr): return [_parse_scalar_shape(ii.strip()) for ii in sh.split(',')] else: return (int(sh),) args = {} str_args = [] materials = [] variables = [] for ii, arg_kind in enumerate(arg_kinds): if ats_mode is not None: extended_ats = arg_types[ii] + ('/%s' % ats_mode) else: extended_ats = arg_types[ii] try: sh = arg_shapes[arg_types[ii]] except KeyError: sh = arg_shapes[extended_ats] if arg_kind.endswith('variable'): shape = _parse_scalar_shape(sh[0] if isinstance(sh, tuple) else sh) field = Field.from_args('f%d' % ii, nm.float64, shape, omega, approx_order=1) if arg_kind == 'virtual_variable': if sh[1] is not None: istate = arg_types.index(sh[1]) else: # Only virtual variable in arguments. istate = -1 # -> Make fake variable. var = FieldVariable('u-1', 'unknown', field) var.set_constant(0.0) variables.append(var) var = FieldVariable('v', 'test', field, primary_var_name='u%d' % istate) elif arg_kind == 'state_variable': var = FieldVariable('u%d' % ii, 'unknown', field) var.set_constant(0.0) elif arg_kind == 'parameter_variable': var = FieldVariable('p%d' % ii, 'parameter', field, primary_var_name='(set-to-None)') var.set_constant(0.0) variables.append(var) str_args.append(var.name) args[var.name] = var elif arg_kind.endswith('material'): if sh is None: # Switched-off opt_material. continue prefix = '' if isinstance(sh, basestr): aux = sh.split(':') if len(aux) == 2: prefix, sh = aux if material_value is None: material_value = 1.0 shape = _parse_tuple_shape(sh) if (len(shape) > 1) or (shape[0] > 1): # Array. val = nm.empty(shape, dtype=nm.float64) val.fill(material_value) values = {'%sc%d' % (prefix, ii) : val} elif (len(shape) == 1) and (shape[0] == 1): # Single scalar as a special value. values = {'.c%d' % ii : material_value} else: raise ValueError('wrong material shape! (%s)' % shape) mat = Material('m%d' % ii, values=values) materials.append(mat) str_args.append(mat.name + '.' + 'c%d' % ii) args[mat.name] = mat else: str_args.append('user%d' % ii) args[str_args[-1]] = None materials = Materials(materials) variables = Variables(variables) return args, str_args, materials, variables class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.discrete import Integral from sfepy.discrete.fem import Mesh, FEDomain domains = [] for filename in filename_meshes: mesh = Mesh.from_file(filename) domain = FEDomain('domain_%s' % mesh.name.replace(data_dir, ''), mesh) domain.create_region('Omega', 'all') domain.create_region('Gamma', 'vertices of surface', 'facet') domains.append(domain) integral = Integral('i', order=3) test = Test(domains=domains, integral=integral, conf=conf, options=options) return test def test_term_call_modes(self): from sfepy.terms import term_table ok = True failed = [] for domain in self.domains: self.report('domain: %s' % domain.name) for _, term_cls in ordered_iteritems(term_table): if not domain.groups[0].gel.name in term_cls.geometries: continue rname = 'Omega' \ if term_cls.integration in ('volume', 'point') \ else 'Gamma' self.report('<-- %s ...' % term_cls.name) if rname == 'Gamma' and domain.mesh.dim == 1: self.report('--> 1D Gamma region: not tested!') elif term_cls.arg_shapes: try: _ok = self._test_single_term(term_cls, domain, rname) except: _ok = False if not _ok: failed.append((domain.name, term_cls.name)) ok = ok and _ok self.report('--> ok: %s' % _ok) else: self.report('--> not tested!') self.report('failed:', failed) return ok def _test_single_term(self, term_cls, domain, rname): from sfepy.terms import Term from sfepy.terms.terms import get_arg_kinds ok = True term_call = term_cls.name + '(%s)' arg_shapes_list = term_cls.arg_shapes if not isinstance(arg_shapes_list, list): arg_shapes_list = [arg_shapes_list] prev_shapes = {} for _arg_shapes in arg_shapes_list: # Unset shapes are taken from the previous iteration. arg_shapes = copy(prev_shapes) arg_shapes.update(_arg_shapes) prev_shapes = arg_shapes self.report('arg_shapes:', arg_shapes) arg_types = term_cls.arg_types if not isinstance(arg_types[0], tuple): arg_types = (arg_types,) for iat, ats in enumerate(arg_types): self.report('arg_types:', ats) arg_kinds = get_arg_kinds(ats) modes = getattr(term_cls, 'modes', None) mode = modes[iat] if modes is not None else None if 'dw_s_dot_grad_i_s' in term_cls.name: material_value = 0.0 else: material_value = 1.0 aux = make_term_args(arg_shapes, arg_kinds, ats, mode, domain, material_value=material_value) args, str_args, materials, variables = aux self.report('args:', str_args) name = term_call % (', '.join(str_args)) term = Term.new(name, self.integral, domain.regions[rname], **args) term.setup() call_mode = 'weak' if term.names.virtual else 'eval' self.report('call mode:', call_mode) out = term.evaluate(mode=call_mode, ret_status=True) if call_mode == 'eval': vals, status = out vals = nm.array(vals) else: vals, iels, status = out vals = vals[0] _ok = nm.isfinite(vals).all() ok = ok and _ok self.report('values shape: %s' % (vals.shape,)) if not _ok: self.report('values are not finite!') self.report(vals) _ok = status == 0 if not _ok: self.report('status is %d!' % status) ok = ok and _ok if term.names.virtual: # Test differentiation w.r.t. state variables in the weak # mode. svars = term.get_state_variables(unknown_only=True) for svar in svars: vals, iels, status = term.evaluate(mode=call_mode, diff_var=svar.name, ret_status=True) vals = vals[0] _ok = status == 0 ok = ok and _ok self.report('diff: %s' % svar.name) if not _ok: self.report('status is %d!' % status) _ok = nm.isfinite(vals).all() ok = ok and _ok self.report('values shape: %s' % (vals.shape,)) if not _ok: self.report('values are not finite!') self.report(vals) return ok sfepy-release_2015.1/tests/test_term_consistency.py000066400000000000000000000205711247364230400226050ustar00rootroot00000000000000from sfepy import data_dir filename_mesh = data_dir + '/meshes/2d/special/circle_in_square.mesh' dim = 2 fields = { 'scalar_field' : ('real', 'scalar', 'Omega', 1), 'vector_field' : ('real', 'vector', 'Omega', 1), } variables = { 'us' : ('unknown field', 'scalar_field', 0), 'ts' : ('test field', 'scalar_field', 'us'), 'ps1' : ('parameter field', 'scalar_field', 'us'), 'ps2' : ('parameter field', 'scalar_field', 'us'), 'uv' : ('unknown field', 'vector_field', 1), 'tv' : ('test field', 'vector_field', 'uv'), 'pv1' : ('parameter field', 'vector_field', 'uv'), 'pv2' : ('parameter field', 'vector_field', 'uv'), } regions = { 'Omega' : 'all', 'Left' : ('vertices in (x < -0.499)', 'facet'), } integrals = { 'i' : 2, } materials = { 'm' : 'get_pars', 'm2' : ({'K' : [[3.0, 0.1], [0.3, 1.0]]},), } equations = { 'eq' : """dw_diffusion.i.Omega( m2.K, ts, us ) = 0""" } def get_pars(ts, coor, mode=None, term=None, **kwargs): if mode == 'qp': n_nod, dim = coor.shape sym = (dim + 1) * dim / 2 if 'biot' in term.name: val = nm.zeros((sym, 1), dtype=nm.float64) val[:dim] = 0.132 val[dim:sym] = 0.092 elif 'volume_dot' in term.name: val = 1.0 / nm.array([3.8], dtype=nm.float64) elif 'diffusion' in term.name: val = nm.eye(dim, dtype=nm.float64) else: raise ValueError return {'val' : nm.tile(val, (coor.shape[0], 1, 1))} functions = { 'get_pars' : (get_pars,), } # (eval term prefix, parameter corresponding to test variable, 'd' variables, # 'dw' variables (test must be paired with unknown, which should be at # index 2!), mat mode) test_terms = [ ('%s_biot.i.Omega( m.val, %s, %s )', ('dw', 'ps1', ('pv1', 'ps1'), ('pv1', 'ts', 'us', 'uv', 'tv'))), ('%s_biot.i.Omega( m.val, %s, %s )', ('dw', 'pv1', ('pv1', 'ps1'), ('tv', 'ps1', 'uv', 'us', 'ts'))), ('%s_diffusion.i.Omega( m.val, %s, %s )', ('dw', 'ps1', ('ps1', 'ps2'), ('ts', 'ps1', 'us'))), ('%s_volume_dot.i.Omega( m.val, %s, %s )', ('dw', 'ps1', ('ps1', 'ps2'), ('ts', 'ps1', 'us'))), ] import numpy as nm from sfepy.base.testing import TestCommon def _integrate(var, val_qp): from sfepy.discrete import Integral from sfepy.discrete.common.mappings import get_jacobian integral = Integral('i', 2) det = get_jacobian(var.field, integral) val = (val_qp * det).sum(axis=1) / det.sum(axis=1) return val class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.discrete import Problem problem = Problem.from_conf(conf, init_equations=False) test = Test(problem=problem, conf=conf, options=options) return test def test_consistency_d_dw(self): from sfepy.discrete import Variables ok = True pb = self.problem for aux in test_terms: term_template, (prefix, par_name, d_vars, dw_vars) = aux print term_template, prefix, par_name, d_vars, dw_vars term1 = term_template % ((prefix,) + d_vars) variables = Variables.from_conf(self.conf.variables, pb.fields) for var_name in d_vars: var = variables[var_name] n_dof = var.field.n_nod * var.field.shape[0] aux = nm.arange(n_dof, dtype=nm.float64) var.set_data(aux) if prefix == 'd': val1 = pb.evaluate(term1, var_dict=variables.as_dict()) else: val1 = pb.evaluate(term1, call_mode='d_eval', var_dict=variables.as_dict()) self.report('%s: %s' % (term1, val1)) term2 = term_template % (('dw',) + dw_vars[:2]) vec, vv = pb.evaluate(term2, mode='weak', var_dict=variables.as_dict(), ret_variables=True) pvec = vv.get_state_part_view(vec, dw_vars[2]) val2 = nm.dot(variables[par_name](), pvec) self.report('%s: %s' % (term2, val2)) err = nm.abs(val1 - val2) / nm.abs(val1) _ok = err < 1e-12 self.report('relative difference: %e -> %s' % (err, _ok)) ok = ok and _ok return ok def test_eval_matrix(self): problem = self.problem problem.set_equations() problem.time_update(ebcs={}, epbcs={}) var = problem.get_variables()['us'] vec = nm.arange(var.n_dof, dtype=var.dtype) var.set_data(vec) val1 = problem.evaluate('dw_diffusion.i.Omega( m2.K, us, us )', mode='eval', us=var) mtx = problem.evaluate('dw_diffusion.i.Omega( m2.K, ts, us )', mode='weak', dw_mode='matrix') val2 = nm.dot(vec, mtx * vec) ok = (nm.abs(val1 - val2) / nm.abs(val1)) < 1e-15 self.report('eval: %s, weak: %s, ok: %s' % (val1, val2, ok)) return ok def test_vector_matrix(self): problem = self.problem problem.set_equations() problem.time_update() state = problem.create_state() state.apply_ebc() aux1 = problem.evaluate("dw_diffusion.i.Omega( m2.K, ts, us )", mode='weak', dw_mode='vector') problem.time_update(ebcs={}, epbcs={}) mtx = problem.evaluate("dw_diffusion.i.Omega( m2.K, ts, us )", mode='weak', dw_mode='matrix') aux2g = mtx * state() problem.time_update(ebcs=self.conf.ebcs, epbcs=self.conf.epbcs) aux2 = problem.equations.strip_state_vector(aux2g, follow_epbc=True) ret = self.compare_vectors(aux1, aux2, label1='vector mode', label2='matrix mode') if not ret: self.report('failed') return ret def test_surface_evaluate(self): from sfepy.discrete import FieldVariable problem = self.problem us = problem.get_variables()['us'] vec = nm.empty(us.n_dof, dtype=us.dtype) vec[:] = 1.0 us.set_data(vec) expr = 'ev_surface_integrate.i.Left( us )' val = problem.evaluate(expr, us=us) ok1 = nm.abs(val - 1.0) < 1e-15 self.report('with unknown: %s, value: %s, ok: %s' % (expr, val, ok1)) ps1 = FieldVariable('ps1', 'parameter', us.get_field(), primary_var_name='(set-to-None)') ps1.set_data(vec) expr = 'ev_surface_integrate.i.Left( ps1 )' val = problem.evaluate(expr, ps1=ps1) ok2 = nm.abs(val - 1.0) < 1e-15 self.report('with parameter: %s, value: %s, ok: %s' % (expr, val, ok2)) ok2 = True return ok1 and ok2 def test_ev_grad(self): problem = self.problem var = problem.create_variables(['us'])['us'] val = nm.arange(var.n_dof, dtype=var.dtype) var.set_data(val) val1 = problem.evaluate('ev_grad.i.Omega( us )', us=var, mode='el_avg') self.report('ev_grad(el_avg): min, max:', val1.min(), val1.max()) aux = problem.evaluate('ev_grad.i.Omega( us )', us=var, mode='qp') val2 = _integrate(var, aux) val2.shape = val1.shape self.report('ev_grad(qp): min, max:', val2.min(), val2.max()) ok = self.compare_vectors(val1, val2, label1='de mode', label2='dq mode') if not ok: self.report('failed') return ok def test_ev_div(self): problem = self.problem var = problem.create_variables(['uv'])['uv'] val = nm.arange(var.n_dof, dtype=var.dtype) var.set_data(val) val1 = problem.evaluate('ev_div.i.Omega( uv )', uv=var, mode='el_avg') self.report('ev_div(el_avg): min, max:', val1.min(), val1.max()) aux = problem.evaluate('ev_div.i.Omega( uv )', uv=var, mode='qp') val2 = _integrate(var, aux) val2.shape = val1.shape self.report('ev_div(qp): min, max:', val2.min(), val2.max()) ok = self.compare_vectors(val1, val2, label1='de mode', label2='dq mode') if not ok: self.report('failed') return ok sfepy-release_2015.1/tests/test_units.py000066400000000000000000000104731247364230400203570ustar00rootroot00000000000000from sfepy.base.base import assert_ from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): return Test(conf=conf, options=options) def test_units(self): from sfepy.mechanics.units import Unit, Quantity, sm if sm is None: self.report('cannot import sympy, skipping') return True units = ['m', 's', 'kg', 'C'] self.report('units:', units) unit_set = [Unit(key) for key in units] q1 = Quantity('stress', unit_set) self.report(q1.name, ':', q1()) assert_(q1() == '1.0 Pa') assert_(q1('c') == '100.0 cPa') q2 = Quantity('force', unit_set) self.report(q2.name, ':', q2()) assert_(q2() == '1.0 Newton') assert_(q2('d') == '0.1 dNewton') q3 = Quantity('energy', unit_set) self.report(q3.name, ':', q3()) assert_(q3() == '1.0 J') assert_(q3('mu') == '1000000.0 muJ') units = ['mm', 's', 'g', 'C'] self.report('units:', units) unit_set = [Unit(key) for key in units] q1 = Quantity('stress', unit_set) self.report(q1.name, ':', q1()) assert_(q1() == '1.0 Pa') q2 = Quantity('force', unit_set) self.report(q2.name, ':', q2()) assert_(q2() == '1.0 muNewton') q3 = Quantity('energy', unit_set) self.report(q3.name, ':', q3()) assert_(q3() == '1.0 nJ') units = ['cm', 'ms', 'kg', 'kC'] self.report('units:', units) unit_set = [Unit(key) for key in units] q1 = Quantity('stress', unit_set) self.report(q1.name, ':', q1()) assert_(q1() == '0.1 GPa') q2 = Quantity('force', unit_set) self.report(q2.name, ':', q2()) assert_(q2() == '10.0 kNewton') q3 = Quantity('energy', unit_set) self.report(q3.name, ':', q3()) assert_(q3() == '0.1 kJ') q4 = Quantity('thermal_expandability', unit_set) self.report(q4.name, ':', q4()) assert_(q4() == '0.1 MPa / C') assert_(q4('G') == '0.0001 GPa / C') assert_(q4('M') == '0.1 MPa / C') assert_(q4('k') == '100.0 kPa / C') assert_(q4('d') == '10000.0 dPa / C') assert_(q4('') == '100000.0 Pa / C') units = ['m', 's', 'g', 'C'] self.report('units:', units) unit_set = [Unit(key) for key in units] q4 = Quantity('thermal_expandability', unit_set) self.report(q4.name, ':', q4()) assert_(q4() == '1.0 mPa / C') assert_(q4('k') == str(0.000001) + ' kPa / C') assert_(q4('d') == '0.0001 dPa / C') assert_(q4('') == '0.001 Pa / C') assert_(q4('c') == '0.1 cPa / C') assert_(q4('m') == '1.0 mPa / C') assert_(q4('mu') == '1000.0 muPa / C') assert_(q4('n') == '1000000.0 nPa / C') return True def test_consistent_sets(self): from sfepy.mechanics.units import get_consistent_unit_set, sm if sm is None: self.report('cannot import sympy, skipping') return True u_sets = { ('m', 's', 'kg', 'C') : {'force' : '1.0 Newton', 'stress' : '1.0 Pa', 'energy' : '1.0 J', 'thermal_expandability' : '1.0 Pa / C'}, ('mm', 's', 'kg', 'C') : {'force' : '1.0 mNewton', 'stress' : '1.0 kPa', 'energy' : '1.0 muJ', 'thermal_expandability' : '1.0 kPa / C'}, ('mm', 's', 'g', 'C') : {'force' : '1.0 muNewton', 'stress' : '1.0 Pa', 'energy' : '1.0 nJ', 'thermal_expandability' : '1.0 Pa / C'}, } ok = True for unit_set, true_derived_units in u_sets.iteritems(): self.report('units:', unit_set) derived_units = get_consistent_unit_set(*unit_set) for key, true_val in true_derived_units.iteritems(): val = derived_units[key] _ok = true_val == val self.report('%s: %s == %s -> %s' % (key, true_val, val, _ok)) ok = ok and _ok return ok sfepy-release_2015.1/tests/test_volume.py000066400000000000000000000052541247364230400205250ustar00rootroot00000000000000""" Test computing volumes by volume or surface integrals. """ from sfepy import data_dir filename_mesh = data_dir + '/meshes/3d/elbow.mesh' fields = { 'scalar' : ('real', 'scalar', 'Omega', 1), 'vector' : ('real', 'vector', 'Omega', 1), } integrals = { 'i' : 2, } regions = { 'Omega' : 'all', 'Gamma' : ('vertices of surface', 'facet'), } expressions = { 'volume_p' : 'd_volume.i.Omega(p)', 'volume_u' : 'd_volume.i.Omega(u)', 'surface_p' : 'd_volume_surface.i.Gamma(p)', 'surface_u' : 'd_volume_surface.i.Gamma(u)', } import numpy as nm from sfepy.base.testing import TestCommon class Test(TestCommon): @staticmethod def from_conf(conf, options): from sfepy.discrete import Problem problem = Problem.from_conf(conf, init_equations=False) test = Test(problem=problem, conf=conf, options=options) return test def test_volume(self): from sfepy.discrete import FieldVariable ok = True field_map = {'u' : 'vector', 'p' : 'scalar'} volumes = {} avg = 0.0 for key, term in expressions.items(): var_name = key[-1] field = self.problem.fields[field_map[var_name]] var = FieldVariable(var_name, 'parameter', field, primary_var_name='(set-to-None)') val = self.problem.evaluate(term, **{var_name : var}) volumes[key] = val avg += val avg /= len(volumes) for key, val in volumes.items(): err = nm.abs(avg - val) / nm.abs(avg) _ok = err < 1e-12 self.report('"'"%s"'" - volume: %e' % (key, val)) self.report('"'"%s"'" - relative volume difference: %e -> %s' % (key, err, _ok)) ok = ok and _ok return ok def test_volume_tl(self): from sfepy.discrete import FieldVariable fu = self.problem.fields['vector'] fq = self.problem.fields['scalar'] var_u = FieldVariable('u', 'parameter', fu, primary_var_name='(set-to-None)') var_q = FieldVariable('q', 'test', fq, primary_var_name='(set-to-None)') var_u.set_data(nm.linspace(0, 0.004, var_u.n_dof)) vval = self.problem.evaluate('dw_tl_volume.i.Omega( q, u )', term_mode='volume', q=var_q, u=var_u) sval = self.problem.evaluate('d_tl_volume_surface.i.Gamma( u )', u=var_u) ok = abs(vval - sval) < 1e-14 self.report('TL: by volume: %e == by surface: %e -> %s' % (vval, sval, ok)) return ok sfepy-release_2015.1/tests/tests_basic.py000066400000000000000000000104441247364230400204570ustar00rootroot00000000000000""" This module is not a test file. It contains classes grouping some common functionality, that is used in several test files. """ from sfepy.base.base import IndexedStruct from sfepy.base.testing import TestCommon import os.path as op class NLSStatus(IndexedStruct): """ Custom nonlinear solver status storing stopping condition of all time steps. """ def __setitem__(self, key, val): IndexedStruct.__setitem__(self, key, val) if key == 'condition': self.conditions.append(val) class TestInput(TestCommon): """Test that an input file works. See test_input_*.py files.""" @staticmethod def from_conf(conf, options, cls=None): from sfepy.base.base import Struct from sfepy.base.conf import ProblemConf, get_standard_keywords from sfepy.applications import assign_standard_hooks required, other = get_standard_keywords() input_name = op.join(op.dirname(__file__), conf.input_name) test_conf = ProblemConf.from_file(input_name, required, other) if cls is None: cls = TestInput test = cls(test_conf=test_conf, conf=conf, options=options) assign_standard_hooks(test, test_conf.options.get, test_conf) name = test.get_output_name_trunk() test.solver_options = Struct(output_filename_trunk=name, output_format='vtk', save_ebc=False, save_ebc_nodes=False, save_regions=False, save_regions_as_groups=False, save_field_meshes=False, solve_not=False) return test def get_output_name_trunk(self): return op.splitext(op.split(self.conf.output_name)[1])[0] def check_conditions(self, conditions): ok = (conditions == 0).all() if not ok: self.report('nls stopping conditions:') self.report(conditions) return ok def test_input(self): import numpy as nm from sfepy.applications import solve_pde self.report('solving %s...' % self.conf.input_name) status = NLSStatus(conditions=[]) solve_pde(self.test_conf, self.solver_options, nls_status=status, output_dir=self.options.out_dir, step_hook=self.step_hook, post_process_hook=self.post_process_hook, post_process_hook_final=self.post_process_hook_final) self.report('%s solved' % self.conf.input_name) ok = self.check_conditions(nm.array(status.conditions)) return ok class TestInputEvolutionary(TestInput): @staticmethod def from_conf(conf, options, cls=None): if cls is None: cls = TestInputEvolutionary return TestInput.from_conf(conf, options, cls=cls) def get_output_name_trunk(self): return self.conf.output_name_trunk class TestLCBC(TestCommon): """Test linear combination BC. See test_lcbc_*.py files.""" @staticmethod def from_conf(conf, options): return TestLCBC(conf=conf, options=options) def test_linear_rigid_body_bc(self): import scipy if scipy.version.version == "0.6.0": # This test uses a functionality implemented in scipy svn, which is # missing in scipy 0.6.0 return True from sfepy.base.base import Struct from sfepy.applications import solve_pde from sfepy.base.base import IndexedStruct status = IndexedStruct() problem, state = solve_pde(self.conf, nls_status=status, save_results=False) ok = status.condition == 0 self.report('converged: %s' % ok) out = state.create_output_dict() strain = problem.evaluate('ev_cauchy_strain.i.Y( u )', mode='el_avg') out['strain'] = Struct(name='output_data', mode='cell', data=strain, dofs=None) name = op.join(self.options.out_dir, op.split(self.conf.output_name)[1]) problem.domain.mesh.write(name, io='auto', out=out) ## # Check if rigid body displacements are really rigid should go here. return ok
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