pax_global_header00006660000000000000000000000064135045061510014512gustar00rootroot0000000000000052 comment=827b609e61c5821347ad06e865c86722c11fe9f3 nitime-rel-0.8.1/000077500000000000000000000000001350450615100135655ustar00rootroot00000000000000nitime-rel-0.8.1/.gitignore000066400000000000000000000000321350450615100155500ustar00rootroot00000000000000*.pyc *~ *.so *.c build/ nitime-rel-0.8.1/.mailmap000066400000000000000000000011671350450615100152130ustar00rootroot00000000000000Ariel Rokem arokem Ariel Rokem arokem Michael Waskom mwaskom Mike Trumpis miketrumpis Jarrod Millman Jarrod Millman Jarrod Millman jarrodmillman Jarrod Millman jarrod Kilian Koepsell kilian@berkeley.edu Kilian Koepsell koepsell nitime-rel-0.8.1/.travis.yml000066400000000000000000000004661350450615100157040ustar00rootroot00000000000000language: python sudo: false python: - 3.6 - 3.4 - 2.7 install: - travis_retry pip install -r requirements-dev.txt - travis_retry pip install -r requirements.txt - travis_retry pip install -e . script: - py.test --pyargs nitime --cov-report term-missing --cov=nitime --verbose after_success: - coveralls nitime-rel-0.8.1/INSTALL000066400000000000000000000001141350450615100146120ustar00rootroot00000000000000For installation instructions see documentation: http://nipy.org/nitime/ nitime-rel-0.8.1/LICENSE000066400000000000000000000030041350450615100145670ustar00rootroot00000000000000Copyright (c) 2006-2011, NIPY 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 NIPY Developers nor the names of any 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. nitime-rel-0.8.1/MANIFEST.in000066400000000000000000000004341350450615100153240ustar00rootroot00000000000000include *.txt *.py include THANKS include LICENSE include INSTALL graft nitime graft doc graft tools # docs subdirs we want to skip prune doc/_build prune doc/api/generated global-exclude *~ global-exclude *.flc global-exclude *.pyc global-exclude .dircopy.log global-exclude .git nitime-rel-0.8.1/README.txt000066400000000000000000000030761350450615100152710ustar00rootroot00000000000000=================================================== Nitime: timeseries analysis for neuroscience data =================================================== Nitime contains a core of numerical algorithms for time-series analysis both in the time and spectral domains, a set of container objects to represent time-series, and auxiliary objects that expose a high level interface to the numerical machinery and make common analysis tasks easy to express with compact and semantically clear code. Website ======= Current information can always be found at the NIPY website is located here:: http://nipy.org/nitime Mailing Lists ============= Please see the developer's list here:: http://mail.scipy.org/mailman/listinfo/nipy-devel Code ==== You can find our sources and single-click downloads: * `Main repository`_ on Github. * Documentation_ for all releases and current development tree. * Download as a tar/zip file the `current trunk`_. * Downloads of all `available releases`_. .. _main repository: http://github.com/nipy/nitime .. _Documentation: http://nipy.org/nitime .. _current trunk: http://github.com/nipy/nitime/archives/master .. _available releases: http://github.com/nipy/nitime/downloads License information =================== Nitime is licensed under the terms of the new BSD license. See the file "LICENSE" for information on the history of this software, terms & conditions for usage, and a DISCLAIMER OF ALL WARRANTIES. All trademarks referenced herein are property of their respective holders. Copyright (c) 2006-2011, NIPY Developers All rights reserved. nitime-rel-0.8.1/THANKS000066400000000000000000000015671350450615100145110ustar00rootroot00000000000000NiTime is an open source project for the analysis of timeseries in Python, with a focus on problems in neuroscience experimental datasets. It is part of the NIPY project (though it can be installed separately). Many people have contributed to NIPY, in code development, suggestions, and financial support. Below is a partial list. If you've been left off, please let us know (nipy-devel at neuroimaging.scipy.org), and you'll be added. Tim Blanche Matthew Brett Christopher Burns Michael Castelle Philippe Ciuciu Dav Clark Yann Cointepas Mark D'Esposito Drew Fegen Alex Gramfort Yaroslav Halchenko Brian Hawthorne Paul Ivanov Kilian Koepsell Tim Leslie Cindee Madison Jarrod Millman Fernando Perez Josef Perktold Jean-Baptiste Poline Denis Riviere Alexis Roche Ariel Rokem Lavi Secundo Felice Sun Jonathan Taylor Bertrand Thirion Bernjamin Thyreau Mike Trumpis Karl Young Tom Waite nitime-rel-0.8.1/appveyor.yml000066400000000000000000000017361350450615100161640ustar00rootroot00000000000000build: false environment: matrix: - PYTHON: "C:\\Python27" PYTHON_VERSION: "2.7.10" PYTHON_ARCH: "32" MINICONDA: C:\Miniconda - PYTHON: "C:\\Python33" PYTHON_VERSION: "3.3.5" PYTHON_ARCH: "32" MINICONDA: C:\Miniconda3 - PYTHON: "C:\\Python34" PYTHON_VERSION: "3.4.3" PYTHON_ARCH: "32" MINICONDA: C:\Miniconda3 - PYTHON: "C:\\Python35" PYTHON_VERSION: "3.5.1" PYTHON_ARCH: "32" MINICONDA: C:\Miniconda35 init: - "ECHO %PYTHON% %PYTHON_VERSION% %PYTHON_ARCH% %MINICONDA%" install: - "set PATH=%MINICONDA%;%MINICONDA%\\Scripts;%PATH%" - conda config --set always_yes yes --set changeps1 no - conda update -q conda - conda info -a - "conda create -q -n test-environment python=%PYTHON_VERSION% cython numpy scipy matplotlib networkx pytest" - activate test-environment - pip install coverage nibabel - python setup.py build_ext --inplace test_script: - py.test --pyargs nitime nitime-rel-0.8.1/doc/000077500000000000000000000000001350450615100143325ustar00rootroot00000000000000nitime-rel-0.8.1/doc/Makefile000066400000000000000000000046021350450615100157740ustar00rootroot00000000000000# Makefile for Sphinx documentation # # You can set these variables from the command line. SPHINXOPTS = SPHINXBUILD = sphinx-build PAPER = # Internal variables. PAPEROPT_a4 = -D latex_paper_size=a4 PAPEROPT_letter = -D latex_paper_size=letter ALLSPHINXOPTS = -d _build/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . .PHONY: help clean html api htmlonly latex changes linkcheck doctest help: @echo "Please use \`make ' where is one of" @echo " html make the HTML documentation" @echo " api make API documents only" @echo " latex make the LaTeX, you can set PAPER=a4 or PAPER=letter" @echo " pdf make and run the PDF generation" @echo " changes make an overview of all changed/added/deprecated" \ "items (ChangeLog)" @echo " linkcheck check all external links for integrity" @echo " doctest run all doctests embedded in the documentation" @echo " upload Upload the docs to github pages website" clean: -rm -rf _build/* *~ api/generated -rm -rf build/* -rm examples/fig/* -rm examples/*.rst htmlonly: $(SPHINXBUILD) -b html $(ALLSPHINXOPTS) _build/html @echo @echo "Build finished. The HTML pages are in _build/html." api: python ../tools/build_modref_templates.py @echo "Build API docs finished." html: rstexamples api htmlonly @echo "Build HTML and API finished." html-no-exec: rstexamples-no-exec api htmlonly @echo "Build HTML and API finished." latex: api $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) _build/latex @echo @echo "Build finished; the LaTeX files are in _build/latex." @echo "Run \`make all-pdf' or \`make all-ps' in that directory to" \ "run these through (pdf)latex." pdf: latex cd _build/latex && make all-pdf all: html pdf changes: $(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) _build/changes @echo @echo "The overview file is in _build/changes." linkcheck: $(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) _build/linkcheck @echo @echo "Link check complete; look for any errors in the above output " \ "or in _build/linkcheck/output.txt." doctest: $(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) _build/doctest @echo "Testing of doctests in the sources finished, look at the " \ "results in _build/doctest/output.txt." rstexamples: ../tools/make_examples.py rstexamples-no-exec: ../tools/make_examples.py --no-exec upload: html ./upload-gh-pages.sh _build/html/ nitime nipy nitime-rel-0.8.1/doc/_static/000077500000000000000000000000001350450615100157605ustar00rootroot00000000000000nitime-rel-0.8.1/doc/_static/Scipy2009Nitime.pdf000066400000000000000000073356301350450615100212440ustar00rootroot00000000000000%PDF-1.4 % 5 0 obj << /S /GoTo /D (section*.1) >> endobj 8 0 obj (Nitime: time-series analysis for neuroimaging data) endobj 9 0 obj << /S /GoTo /D (introduction.0) >> endobj 12 0 obj (Introduction) endobj 13 0 obj << /S /GoTo /D (functional-mri-imaging-brain-activity.1) >> endobj 16 0 obj (Functional MRI: imaging brain activity) endobj 17 0 obj << /S /GoTo /D (fmri-data-analysis-and-time-series-analysis.1) >> endobj 20 0 obj (fMRI data analysis and time-series analysis) endobj 21 0 obj << /S /GoTo /D (nitime.1) >> endobj 24 0 obj (Nitime) endobj 25 0 obj << /S /GoTo /D (software-design.0) >> endobj 28 0 obj (Software design) endobj 29 0 obj << /S /GoTo /D (algorithms.1) >> endobj 32 0 obj (Algorithms) endobj 33 0 obj << /S /GoTo /D (spectral-transforms.2) >> endobj 36 0 obj (Spectral transforms) endobj 37 0 obj << /S /GoTo /D (coherency.2) >> endobj 40 0 obj (Coherency) endobj 41 0 obj << /S /GoTo /D (regularized-coherency.2) >> endobj 44 0 obj (Regularized coherency) endobj 45 0 obj << /S /GoTo /D (event-related-analysis.2) >> endobj 48 0 obj (Event-related analysis) endobj 49 0 obj << /S /GoTo /D (containers.1) >> endobj 52 0 obj (Containers) endobj 53 0 obj << /S /GoTo /D (analyzers.1) >> endobj 56 0 obj (Analyzers) endobj 57 0 obj << /S /GoTo /D (examples-coherency-analysis.0) >> endobj 60 0 obj (Examples: coherency analysis) endobj 61 0 obj << /S /GoTo /D (analysis-of-synthetic-time-series.1) >> endobj 64 0 obj (Analysis of synthetic time-series) endobj 65 0 obj << /S /GoTo /D (analysis-of-fmri-data.1) >> endobj 68 0 obj (Analysis of fMRI data) endobj 69 0 obj << /S /GoTo /D (summary-and-outlook.0) >> endobj 72 0 obj (Summary and outlook) endobj 73 0 obj << /S /GoTo /D (acknowledgments.0) >> endobj 76 0 obj (Acknowledgments) endobj 77 0 obj << /S /GoTo /D (references.0) >> endobj 80 0 obj (References) endobj 81 0 obj << /S /GoTo /D [82 0 R /Fit ] >> endobj 93 0 obj << /Length 4607 /Filter /FlateDecode >> stream x[Y6~_QoˊPQ$^ޗrw`M8QRO^`%hlGln(B$D_& v}}er?OT)JwYqݯޛ"TuwE^ڛN adye8_(?b'a³M'^7n2g;^mYCt7}h[߂8>o.\UA){±]K#? ]侎]{]y@=۝B?ˡ.XsNTڏt2g*?!^Oukt{X nypiz(t.wѸtN'A+C2 )<.!\uM\&sÚ#*췵:KJmw\A"Ӏ@QVhacn:9Z'kB5!=^Ɓe+Gދ;h &džp^C沧b:1D2P*T=8&l@F]XTsSQwC.PVF*d`ę W>J?0HL v{hД'zKvhl'@Y>(r H:w{[v YLs;ʙRQ@f ,S3_Ǣ% ]HZQٺjSpE{&ł\:ˉ'QV,3<CLF)p;w ұ->bvq[g/H1ATLX|a0jk kK u"Ha-ؓ;oeguk88+X&!6_fs=kxXF<ўrSb ; 6햍AY"\ Yd<㥃}8x묕Mn?P6@46VM&E^5H8,΂Md/J M #6+F~j;i_=0[\ƆmigMhb 3? 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    {% endblock %} {# I had to copy the whole search block just to change the rendered text, so it doesn't mention modules or classes #} {%- block sidebarsearch %} {%- if pagename != "search" %} {%- endif %} {# The sidebarsearch block is the last one available in the default sidebar() macro, so the only way to add something to the bottom of the sidebar is to put it here, at the end of the sidebarsearch block (before it closes). #} {%- endblock %} nitime-rel-0.8.1/doc/_templates/quicklinks.html000066400000000000000000000000001350450615100215200ustar00rootroot00000000000000nitime-rel-0.8.1/doc/api/000077500000000000000000000000001350450615100151035ustar00rootroot00000000000000nitime-rel-0.8.1/doc/api/index.rst000066400000000000000000000001451350450615100167440ustar00rootroot00000000000000.. _api-index: ##### API ##### :Release: |version| :Date: |today| .. include:: generated/gen.rst nitime-rel-0.8.1/doc/conf.py000066400000000000000000000210551350450615100156340ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # nitime documentation build configuration file, created by # sphinx-quickstart on Mon Jul 20 12:30:18 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 import os import warnings # Declare here the things that our documentation build will depend on here, so # that if they are not present the build fails immediately rather than # producing possibly obscure errors later on. # Documentation dependency format: each dep is a pair of two entries, the first # is a string that should be a valid (possibly dotted) package name, and the # second a list (possibly empty) of names to import from that package. doc_deps = [['networkx', []], ['mpl_toolkits.axes_grid', ['make_axes_locatable']], ] # Analyze the dependencies, and fail if any is unmet, with a hopefully # reasonable error failed_deps = [] for package, parts in doc_deps: try: __import__(package, fromlist=parts) except ImportError: failed_deps.append([package, parts]) if failed_deps: print print("*** ERROR IN DOCUMENTATION BUILD ***") print("The documentation build is missing these dependencies:") for pak, parts in failed_deps: if parts: print("Package: %s, parts: %s" % (pak, parts)) else: print("Package: %s" % pak) raise RuntimeError('Unmet dependencies for documentation build') # 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('sphinxext')) # -- 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.autodoc', 'sphinx.ext.doctest', 'sphinx.ext.intersphinx', 'sphinx.ext.todo', 'numpydoc', 'sphinx.ext.inheritance_diagram', 'ipython_console_highlighting', 'only_directives', 'math_dollar', 'matplotlib.sphinxext.plot_directive', 'github' ] # ghissue config github_project_url = "https://github.com/nipy/nitime" # 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'nitime' copyright = u'2009, Neuroimaging in Python team' # 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. # # We read the version info from the source file. ver = {} ver_file = os.path.join('..', 'nitime', 'version.py') with open(ver_file) as f: exec(f.read()) # The short X.Y version. version = '%s.%s' % (_version_major, _version_minor) # 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, %H:%M PDT' # 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 = [] # Flag to show todo items in rendered output todo_include_todos = True # -- 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 = 'sphinxdoc' # The style sheet to use for HTML and HTML Help pages. A file of that name # must exist either in Sphinx' static/ path, or in one of the custom paths # given in html_static_path. html_style = 'nitime.css' # 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' # Content template for the index page. html_index = 'index.html' # 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 = {'index': 'indexsidebar.html'} # Additional templates that should be rendered to pages, maps page names to # template names. #html_additional_pages = {'index': 'index.html'} # If false, no module index is generated. #html_use_modindex = True # 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 = False # 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 = 'nitimedoc' # -- 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 = [ ('documentation', 'nitime.tex', u'nitime Documentation', u'Neuroimaging in Python team', '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 = '' # Documents to append as an appendix to all manuals. #latex_appendices = [] # If false, no module index is generated. #latex_use_modindex = True # Example configuration for intersphinx: refer to the Python standard library. intersphinx_mapping = {'http://docs.python.org/': None} nitime-rel-0.8.1/doc/devel/000077500000000000000000000000001350450615100154315ustar00rootroot00000000000000nitime-rel-0.8.1/doc/devel/branch_list.png000066400000000000000000000320611350450615100204310ustar00rootroot00000000000000PNG  IHDRyU pHYs   IDATx]\T/,lcL-F1bSS^QcFhF+RK~g‚ vzΜ9sf]xp8WSG# <G##S\5G#<G## oΆJ߳=#<^D֜ȀRD"xq85Xl3 )xGGGܭAp8ՈJhwT#xG ,xe>x8Gf!`g;p855Kָi4 233QPP`U]IJhooWWWږLwGJ[J#SD@@REkl>甔h)W5pS@(yf3_^:;BSeG!`]\4̂;N"Yճ3G#x{\4ea"uY8GZKZz5-'!3@X(GC-y-bOH.#vyn0^z 8#*,8<  QgtHFuǔ;5&Z6o*q H#dy~LYhb [W?.!|%tR'ؗHV"5+^A\FKn]–+/$$i&-dnj2fnfhh1vQ0KɎUkƇ|53w > ,dľp,] )5Rѿ-drg9~oG]YuⓇ3qX|,,o@d=#rfD/0gr[Magx8kaFPkM e|z+1Pb(;_M:;OB/@Išطl.Q2).X30 )c"p!cC^ƣWpr**8  [ Iv!*m&nPiteW"!WU 0ط N&ՙX=&MEW2zR#Rى[ۊ|0{}܏؈kA #Vf5 ^9PԣWiq`~}Fv»=}XTi ;HN {79lsHiU]{6.Fہq-ĠɊуt*jI5dE]wr:'KZw-Ь-u#)lJ>8c`HDЫq+6.FD:5EG Quא5+SG§lMah*ԋu푹%[m;1]B˜ UY5,q{U_1eI{`ؿr)fb١' *%_֩VcLC#I`okep7=v,œkg>~>z{P&v| ~oLگFU7K wo@+\Z4-ImulN'ad5?=Rw,XZ O7QyX=DOSPթRBCcvy WWdҁ0v2VgN^-0h4u.~ߐH?s3Dj;q#S[Ƽ6DM:r6ߢ!`&v; boGJqw`/X=g>6vعu$+24 a/U%lz6fnc0EilRч{Ʒر堀L^ sHVړ ϿE&y#ZS\! -Y5Ur Zvơ\@.)U5v@x8h1ZO@kGd Gu[h {tC_j1B(yds]0zL >[y"4c/vaִGS<#S]U͸!)'7IpR:F,u!Y{k8'/HƐ~*pl] ع' %K*7 [BO& ؁RK|4c$IcZ7ǦQ8r1 A]eX`tP9Y{ڴ=@įǕh֪5d)5Zm޴`DoDշQi ǔ~1LĠٳ>diYdĚY7~=rq'\C}"-3ǐGKM}D8ΘxB ez>E _̌'_Q%60jg">j'f=y8C~M7KG47۠|Q8ID8iwG8 674^r#; X6ک)X4@Rʺض68y.n艄8Lx:^ŕT-h >O//aq%}F@O<'fk&%r߅-| 2uI|WR:M!bRl]-U>]HsԸz23*bpOOypew-1g?k'y"`Ş!=ÉVA;ԫ]}|:,l \d vE~j 2ӄ,C {psײ`Wʗo^WU\A2Lal߱ȅ‚;X`-Α7W0{=9P?Hn#<?!1{V0)F"R3!!*q /k aԸ-Ҵp:t2[dIƝ<2l eI^ mt\p#\w:Syptv(9"xZyY򎭇ൠXMV )o GWI|,Z~qG`{ˠ^B^l%P{?{;{?*+"n'xE3~dZ i GcL_'!}GY6b8P]@gANFiP~ixw` i/܅R0PsCr>_1{k>@,w Ǡe;}꓏7->}C{W>Zwr0"Ѕ@?>ȗR0384Pa0[TۣRD*9 /W(+'03̃G#V"<2W#7Z|Pwn߾#/`G/`P5,= ~3p_ITڹ{9KpE$\W˛8z&\: (̘ V|5(E&%[iS dhhch2W +[ϖxi*r"Dn @tAm컣 s i E3C`r'e"٥Zk !$C?l)hΫh>\Ov7#Ƞ-bsnLę<;]1.^maM8Q⎺n"2(d;2F$`Xeۇ*5֗Af+b5>9 Z+a/k%\Dޘ \8m; ""q6Y2z9^pшhЍ}pƷW2Dۤ-~XI$8PnDC;a5!Mb4ۖ|ZJ]0lg,eNi+7'Y/$42 1OFJܴ/t*%s)V򽩡ͱA$Rڣge Rd8aR{"0E2Ȫ37M+#ȨqPʧO=# jK<>펦*d0^y)ŒMEZ 1nŽezdn "J0kVSGh0SIVDvydّRQADVZCA$$<б=Y¤2 ,;( G&qo MD(O=k"N)#⥬$')qfY lzcuZ̶,^yy |Tј> χ`pg23=* LJݍ4 Q_b?"tB50lt0Eseđew3t:loڱo z-р(gDB~NFwhꌅQsTeN\*ph=IBVpJcDD$W]`D?]+p矈Sۑ &< 0h?ipgG{!hݒ-5x=7B̕%Ֆ>HWfRS*C½+,Rmx#mtahGSjKGMl;ƯRIsJe?Ej.bN_I#ȻhSߌwz= ʯIiG4~G".hbQF26s^OF_6H"=%o qÿ}'a ,:;o6TÓR+w c)X V d-le'bMWx W|_ b # k="3ƈE,):w}Pԇ sG1m3 /&c@ND3, zLǒՂ` NM pp֬ZͿڹ }0=J.]D:t *˳`KUe'_wZfȧ'eRtM6郃<Ҥ"rfλ1|8#C;- oąLglH-'Kq*7ՎYfmxcL@,nױG6 h4bz忇 QGxU3U\VM:C2_#yKexAtŐHb8a^IiƮ21o >{'NGF\[ĉ:njҋʰ!+I%1jί'ƿGoCP`ӄX "PyQe ϮQ t6dl${eaŜ؃5˗㷋9<1%a,zJ Þt|uXgc- vX,Zr؏znCю{1JӸӑ͊Pp镢,Xӂk/=xKقLMFf3${z`(ؒS!_nvj𨿫k5%jy@[{zR ?]-ox:OTާTҹJbN9G;;ɏJ9g)dѦZ+Yhr49)BM9r S+0lnKH]f,CE2#mfoX]R:˜CL_)st'JI\!7fTL9*6prs{5)a }٠P6ZЦ>8І&QW@* О6db(3"mlѶ3#.m-ah,9/bZ' al]U!7n%W7h>bvwܹ/ΌWvO3rטڒО*_ ɓYpZ9%9\npc*ڼUT*野 ssH>Id2+)@Hk1/6x6Kug:JIToIiwv^"2բJe0dV99B:MgOa)˽JK~DµFɗYI dJxHdذ,YXZr<e]pjUYeo.#p oaެ9C4v(; ԱXHDң"bʩp^-§<*HL ? 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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 -a stat = status -a 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] summary = true Or from the command line:: git config --global merge.summary true .. include:: git_links.inc nitime-rel-0.8.1/doc/devel/development_workflow.rst000066400000000000000000000155661350450615100224540ustar00rootroot00000000000000.. _development-workflow: ==================== Development workflow ==================== You already have your own forked copy of the nitime_ repository, by following :ref:`forking`, :ref:`set-up-fork`, and you have configured git_ by following :ref:`configure-git`. Workflow summary ================ * Keep your ``master`` branch clean of edits that have not been merged to the main nitime_ development repo. Your ``master`` then will follow the main nitime_ repository. * Start a new *feature branch* for each set of edits that you do. * If you can avoid it, try not to merge other branches into your feature branch while you are working. * Ask for review! This way of working really helps to keep work well organized, and in keeping history as clear as possible. See - for example - `linux git workflow`_. Making a new feature branch =========================== :: git branch my-new-feature git checkout my-new-feature Generally, you will want to keep this also on your public github_ fork of nitime_. 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 From now on git_ will know that ``my-new-feature`` is related to the ``my-new-feature`` branch in the github_ repo. 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 - you can just take on faith - or see `why the -a flag?`_. See also the `git commit`_ manual page. #. To push the changes up to your forked repo on github_, do a ``git push`` (see `git push`). Asking for code review ====================== #. Go to your repo URL - e.g. ``http://github.com/your-user-name/nitime``. #. Click on the *Branch list* button: .. image:: branch_list.png #. Click on the *Compare* button for your feature branch - here ``my-new-feature``: .. image:: branch_list_compare.png #. If asked, select the *base* and *comparison* branch names you want to compare. Usually these will be ``master`` and ``my-new-feature`` (where that is your feature branch name). #. At this point you should get a nice summary of the changes. Copy the URL for this, and post it to the `nitime mailing list`_, asking for review. The URL will look something like: ``http://github.com/your-user-name/nitime/compare/master...my-new-feature``. There's an example at http://github.com/matthew-brett/nipy/compare/master...find-install-data See: http://github.com/blog/612-introducing-github-compare-view for more detail. The generated comparison, is between your feature branch ``my-new-feature``, and the place in ``master`` from which you branched ``my-new-feature``. In other words, you can keep updating ``master`` without interfering with the output from the comparison. More detail? Note the three dots in the URL above (``master...my-new-feature``) and see :ref:`dot2-dot3`. Asking for your changes to be merged with the main repo ======================================================= When you are ready to ask for the merge of your code: #. Go to the URL of your forked repo, say ``http://github.com/your-user-name/nitime.git``. #. Click on the 'Pull request' button: .. image:: pull_button.png Enter a message; we suggest you select only ``nitime`` as the recipient. The message will go to the `nitime mailing list`_. Please feel free to add others from the list as you like. Merging from trunk ================== This updates your code from the upstream `nitime github`_ repo. Overview -------- :: # go to your master branch git checkout master # pull changes from github git fetch upstream # merge from upstream git merge upstream/master In detail --------- We suggest that you do this only for your ``master`` branch, and leave your 'feature' branches unmerged, to keep their history as clean as possible. This makes code review easier:: git checkout master Make sure you have done :ref:`linking-to-upstream`. Merge the upstream code into your current development by first pulling the upstream repo to a copy on your local machine:: git fetch upstream then merging into your current branch:: git merge upstream/master Deleting 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 nitime into your account, as from :ref:`forking`. Then, go to your forked repository github page, say ``http://github.com/your-user-name/nitime`` 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/nitime.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 Exploring 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. .. include:: git_links.inc nitime-rel-0.8.1/doc/devel/dot2_dot3.rst000066400000000000000000000012511350450615100177630ustar00rootroot00000000000000.. _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). nitime-rel-0.8.1/doc/devel/following_latest.rst000066400000000000000000000015021350450615100215350ustar00rootroot00000000000000.. _following-latest: ============================= Following the latest source ============================= These are the instructions if you just want to follow the latest *nitime* source, but you don't need to do any development for now. The steps are: * :ref:`install-git` * get local copy of the git repository from github_ * update local copy from time to time Get the local copy of the code ============================== From the command line:: git clone git://github.com/nipy/nitime.git You now have a copy of the code tree in the new ``nitime`` directory. 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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`nitime-rel-0.8.1/doc/devel/forking_hell.rst000066400000000000000000000021311350450615100206230ustar00rootroot00000000000000.. _forking: ========================================== Making your own copy (fork) of nitime ========================================== You need to do this only once. The instructions here are very similar to the instructions at http://help.github.com/forking/ - please see that page for more detail. We're repeating some of it here just to give the specifics for the nitime_ 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 - see the ``Generating SSH keys`` help on `github help`_. Create your own forked copy of nitime_ ========================================= #. Log into your github_ account. #. Go to the nitime_ github home at `nitime 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 nitime_. .. include:: git_links.inc nitime-rel-0.8.1/doc/devel/git_development.rst000066400000000000000000000003151350450615100213470ustar00rootroot00000000000000.. _git-development: ===================== Git for development ===================== Contents: .. toctree:: :maxdepth: 2 forking_hell set_up_fork configure_git development_workflow nitime-rel-0.8.1/doc/devel/git_install.rst000066400000000000000000000011151350450615100204720ustar00rootroot00000000000000.. _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:: git_links.inc nitime-rel-0.8.1/doc/devel/git_intro.rst000066400000000000000000000010421350450615100201560ustar00rootroot00000000000000============== Introduction ============== These pages describe a git_ and github_ workflow for the nitime_ project. There are several different workflows here, for different ways of working with *nitime*. 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:: git_links.inc nitime-rel-0.8.1/doc/devel/git_links.inc000066400000000000000000000067661350450615100201260ustar00rootroot00000000000000.. 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... .. nitime .. _nitime: http://nipy.org/nitime .. _`nitime github`: http://github.com/nipy/nitime .. _`nitime mailing list`: http://projects.scipy.org/mailman/listinfo/nipy-devel .. 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 .. 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 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 .. _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 nitime-rel-0.8.1/doc/devel/git_links.txt000066400000000000000000000065041350450615100201620ustar00rootroot00000000000000.. 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... .. _nitime: http://nipy.org/nitime .. _`nitime github`: http://github.com/fperez/nitime/ .. _`nitime mailing list`: http://projects.scipy.org/mailman/listinfo/nipy-devel .. nipy .. _nipy: http://neuroimaging.scipy.org .. _`nipy github`: http://github.com/nipy .. _`nipy mailing list`: http://projects.scipy.org/mailman/listinfo/nipy-devel .. ipython .. _ipython: http://ipython.scipy.org .. _`ipython github`: http://github.com/ipython .. _`ipython mailing list`: http://mail.scipy.org/mailman/listinfo/IPython-dev .. 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 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 .. _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 nitime-rel-0.8.1/doc/devel/git_resources.rst000066400000000000000000000033071350450615100210430ustar00rootroot00000000000000.. _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`_ - a nice series of tutorials * `git casts`_ - video snippets giving git how-tos. * `git magic`_ - extended introduction with intermediate detail * Fernando Perez' git page - `Fernando's git page`_ - many links and tips * A good but technical page on `git concepts`_ * Th `git parable`_ is an easy read explaining the concepts behind git. * `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:: git_links.inc nitime-rel-0.8.1/doc/devel/how_to_release.rst000066400000000000000000000044071350450615100211670ustar00rootroot00000000000000.. _how-to-release: ================= Releasing Nitime ================= This section contains notes about the process that is used to release Nitime. Most of the release process is automated by the :file:`release` script in the :file:`tools` directory. This is just a handy reminder for the release manager. #. Write release notes in :file:`doc/whatsnew/` for the current release. Use the notes that have hopefully accumulated in :file:`doc/whatsnew/development`. For writing release notes, this will cleanly show who contributed as author of commits (get the previous release name from the tag list with ``git tag``):: git log --pretty=format:"* %aN" PREV_RELEASE... | sort | uniq #. Uncomment the empty ``version_extra`` assignment in the :file:`version.py` file, so that the complete version-string will not have the ``dev`` suffix. #. Update the website with announcements and links to the updated files on github. Remember to put a short note both on the news page of the site, and the index ``What's New`` section. #. Make sure that the released version of the docs is live on the site. #. Run :file:`build_release`, which does all the file checking and building that the real release script will do. This will let you do test installations, check that the build procedure runs OK, etc. #. Make the test installation **from one of the release tarballs**, make sure that: - The installation is being done into a place in your `PYTHONPATH`, which will over-ride your development tree. - The docs build in your test installation. - The tests run and pass in your test installation. #. Run the :file:`release` script, which makes the tar.gz, eggs and Win32 .exe installer. It posts them to the site and registers the release with PyPI. #. Tag the current state of the repository:: git tag -a rel/x.y -m"Releasing version x.y" git push --tags origin master #. Draft a short release announcement with highlights of the release (and send it off!). #. Increment the version number in the :file:`version.py` file and comment the line with the additional ``version_extra``, so that you get back the ``dev`` tag on the version number. #. Commit this as the beginning of the development of the next version. #. Celebrate! nitime-rel-0.8.1/doc/devel/index.rst000066400000000000000000000003661350450615100172770ustar00rootroot00000000000000.. _using-git: Working with *nitime* source code ====================================== Contents: .. toctree:: :maxdepth: 2 git_intro git_install following_latest patching git_development git_resources how_to_release nitime-rel-0.8.1/doc/devel/patching.rst000066400000000000000000000075671350450615100177770ustar00rootroot00000000000000================ Making a patch ================ You've discovered a bug or something else you want to change in nitime_ - excellent! You've worked out a way to fix it - even better! You want to tell us about it - 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/nipy/nitime.git # make a branch for your patching cd nitime 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 `nitime mailing list`_ - 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 nitime_ repository:: git clone git://github.com/nipy/nitime.git cd nitime #. 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 - you can just take on faith - 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 `nitime 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 nitime_ repository on github_ - :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/nitime.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:: git_links.inc nitime-rel-0.8.1/doc/devel/pull_button.png000066400000000000000000000311351350450615100205110ustar00rootroot00000000000000PNG  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/nitime.git cd nitime git remote add upstream git://github.com/nipy/nitime.git In detail ========= Clone your fork --------------- #. Clone your fork to the local computer with ``git clone git@github.com:your-user-name/nitime.git`` #. Investigate. Change directory to your new repo: ``cd nitime``. 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 `nitime github`_ repository, so you can merge in changes from trunk. .. _linking-to-upstream: Linking your repository to the upstream repo -------------------------------------------- :: cd nitime git remote add upstream git://github.com/nipy/nitime.git ``upstream`` here is just the arbitrary name we're using to refer to the main nitime_ repository at `nitime 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/nipy/nitime.git (fetch) upstream git://github.com/nipy/nitime.git (push) origin git@github.com:your-user-name/nitime.git (fetch) origin git@github.com:your-user-name/nitime.git (push) .. include:: git_links.inc nitime-rel-0.8.1/doc/devel/usecases.rst000066400000000000000000000003171350450615100177770ustar00rootroot00000000000000=========== Use Cases =========== Below are some usecases written to demonstrate proposed APIs during development. This should be converted into end user documentation examples prior to our next release. nitime-rel-0.8.1/doc/discussion/000077500000000000000000000000001350450615100165155ustar00rootroot00000000000000nitime-rel-0.8.1/doc/discussion/base_classes.rst000066400000000000000000000155071350450615100217060ustar00rootroot00000000000000.. _base_classes: ============== Base classes ============== We have two sets of base-classes. The first is used in order to represent time and inherits from :class:`np.ndarray`, see :ref:`time_classes`. The other are data containers, used to represent different kinds of time-series data, see :ref:`time_series_classes` .. _time_classes: Time ==== Experimental data is usually represented with regard to *relative* time. That is, the time relative to the beginning of the measurement. This is in contrast to many other kinds of data, which are represented with regard to *absolute* time, (one example of this kind of time is calendaric time, which includes a reference to some common point, such as 0 CE, or Jan. 1st 1970). An example of data which benefits from representation with absolute time is the representation of financial time-series, which can be compared against each other, using the common reference and for which the concept of the work-week applies. However, because most often the absolute calendar time of the occurrence of events in an experiment is of no importance, we can disregard it. Rather, the comparison of the time progression of data in different experiments conducted in different calendar times (different days, different times in the same day) is more common. The underlying representation of time in :module:`nitime` is in arrays of dtype :class:`int64`. This allows the representation to be immune to rounding errors arising from representation of time with floating point numbers (see [Goldberg1991]_). However, it restricts the smallest time-interval that can be represented. In :module:`nitime`, the smallest discrete time-points are of size :attribute:`base_unit`, and this unit is *picoseconds*. Thus, all underlying representations of time are made in this unit. Since for most practical uses, this representation is far too small, this might have resulted, in most cases in representations of time too long to be useful. In order to make the time-objects more manageable, time objects in :module:`nitime` carry a :attribute:`time_unit` and a :attribute:`_conversion_factor`, which can be used as a convenience, in order to convert between the representation of time in the base unit and the appearance of time in the relevant time-unit. The first set of base classes is a set of representations of time itself. All these classes inherit from :class:`np.array`. As mentioned above, the dtype of these classes is :class:`int64` and the underlying representation is always at the base unit. These representations will all serve as the underlying machinery to index into the :class:`TimeSeries` objects with arrays of time-points. The additional functionality common to all of these is described in detail in :ref:`time_series_access`. Briefly, they will all have an :func:`at` method, which allows indexing with time-objects of various kind. The result of this indexing will be to return the time-point in the the respective :class:`TimeSeries` which is most appropriate (see :ref:`time_series_access` for details). They will also all have an :func:`index_at` method, which returns the integer index of this time in the underlying array. Finally, they will all have a :func:`during` method, which will allow indexing into these objects with an :ref:`interval_class`. This will return the appropriate times corresponding to an :ref:`interval_class` and :func:`index_during`, which will return the array of integers corresponding to the indices of these time-points in the array. There are three types of Time base classes: :ref:`TimeArray` :ref:`NonUniformTime`, and :ref:`UniformTime`. :ref:`time_table` captures the essential differences between them. .. _TimeArray: :class:`TimeArray` ------------------- This class has the least restrictions on it: it will be a 1d array, which contains time-points that are not necessarily ordered. It can also contain several copies of the same time-point. This class will be used in order to represent sparsely occurring events, measured at some unspecified sampling rate and possibly collected from several different channels, where the data is sampled in order of channel and not in order of time. As in the case of the :class:`np.ndarray`, slicing into this kind of representation should allow a reshaping operation to occur, which would change the dimensions of the underlying array. In this case, this should allow a ragged/jagged array structure to emerge (see http://en.wikipedia.org/wiki/Array_data_structure for details). This representation of time carries, in addition to the array itself an attribute :attr:`time_unit`, which is the unit in which we would like to present the time-points (recall that the underlying representation is always in the base-unit). .. _NonUniformTime: :class:`NonUniformTime` ------------------------- This class can be used in order to represent time with a varying sampling rate, or also represent events which occur at different times in an ordered series. Thus, the time-points in this representation are ordered (and unique?). This will be used as the time representation used in the :ref:`NonUniformTimeSeries` class. As in the case of the :class:`TimeArray`, slicing into a :class:`NonUniformTime` array should result in a ragged/jagged array. .. _UniformTime: :class:`UniformTime` -------------------- This class contains ordered uniformly sampled time-points. This class has an explicit representation of :attr:`t_0`, :attr:`sampling_rate` and :attr:`sampling_interval` (the latter two implemented as :meth:`setattr_on_read`, which can be computed from each other). Thus, each element in this array can be used in order to represent the entire time interval $t$, such that: $t_i\leq t < t + \delta t$, where $t_i$ is the nominal value held by that element of the array, and $\delta t$ is the value of :attr:`sampling_interval`. As in the case of the :ref:`NonUniformTimeSeries`, this kind of class can be reshaped in such a way that induces an increase in the number of dimensions (see also :ref:`time_table`). .. XXX: is 'inducing an increase in the number of dimensions" the same as jagged/ragged array? This object will contain additional attributes that are not shared by the other time objects. In particular, an object of :class:`UniformTime`, UT, will have the following: * :attr:`UT.t_0`: the first time-point in the series. * :attr:`UT.sampling_rate`: the sampling rate of the series. * :attr:`UT.sampling_interval`: the value of $\delta t$, mentioned above. * :attr:`UT.duration`: the total time (in dtype :class:`deltatime64`) of the series. Obviously, :attr:`UT.sampling_rate` and :attr:`UT.sampling_interval` are redundant, but can both be useful. :class:`Frequency` ------------------ The :attr:`UT.sampling_rate` of :class:`UniformTime` is an object of this class. This is a representation of the frequency in Hz. It is derived from a combination of the :attr:`sampling_interval` and the :attr:`time_unit`. nitime-rel-0.8.1/doc/discussion/index.rst000066400000000000000000000003471350450615100203620ustar00rootroot00000000000000============ Discussion ============ This section discusses features which are under active development and not yet fully implemented. Contents: .. toctree:: :maxdepth: 2 note_about_discussion multitaper_jackknife nitime-rel-0.8.1/doc/discussion/interval_object.rst000066400000000000000000000150661350450615100224310ustar00rootroot00000000000000.. _interval_class: ================= Interval object ================= Intervals can carry particular special meaning in the analysis of time-series. For example, a typical case, is when two time-series are recorded simultaneously. One is recorded from measurement of some continuous physilogical variable, such as fMRI BOLD (and is represented by a an object of type :ref:`UniformTimeSeries`). The other is a series of discrete events occurring concurrently (and can be represented by a :ref:`EventSeries` or by a :ref:`NonUniformTimeSeries`). For example, button presses by the subject, or trials of different kinds. If we want to analyze the progression of the physiological time-series, locked to particular kinds of events in the event-series, we would need a notion of an interval of time surrounding those events. In order to do that, we propose implementing a :class:`TimeInterval` object. .. _interval_attributes: Attributes ---------- A :class:`TimeInterval` object can be thought of as a :class:`Slice` for time-series objects and therefore should at least implement all attributes and methods of the slice object (sub-classing of slice doesn't seem to be possible, see :ref:`interval_from_slice`). In particular, an object of class :class:`TimeInterval`, :attr:`TI`, has the attributes/functions: * :attr:`TI.t_start`: the start time of the interval. * :attr:`TI.t_stop`: the end time of the interval. * :attr:`TI.duration`: the duration of the interval. Obviously, knowledge of two of these, should allow calculation of the third. Therefore, this should be implemented in the object with a :func:`setattr_on_read` decoration and the object should inherit :class:`ResetMixin`. Initialization of the object would verify that enough information exists and that the information provided is consistent, in the same manner that is already implemented in :class:`UniformTimeSeries`. * :attr:`TI.t_step`: originally, we thought that this could be abused to represent a time offset, relative to the attributes :attr:`t_start` and :attr:`t_stop`. That is, it can tell us where relative to these two time-points some interesting even, which this interval surrounds, or this interval is close to, occurs. This can be used in order to interpert how time-series access is done using the :class:`TimeInterval` object. See :ref:`time_series_access`. This attribute can be implemented as an optional input on initialization, such that it defaults to be equal to :attr:`t_start`. * :func:`TI.indices(len)`: this method returns a tuple of time points that can be used for slicing. Originally, this is meant to produce a list of indices of length len that can be directly used to obtain a slice of the same length. However, when we use a :class:`TimeInterval` for slicing, we don't know yet, how long the sliced object will be (it depends on the sampling interval of the sliced object). If we just use len=0, the indices method just returns a 3-tuple that still contains all necessary information and can be used for slicing: .. code-block:: python >>>TI.indices(0) (TI.t_start TI.t_stop, TI.t_step) .. _interval_initialization: Initialization -------------- There are various different ways to initialize a :class:`TimeInterval`: * With two time points t_start and t_stop, both of :class:`TimeArray`: .. code-block:: python TimeInterval(t_start=t1,t_stop=t2) * With a time point :attr:`t_start` (a :class:`TimeArray`) and a duration (a :class:`TimeArray`): .. code-block:: python TimeInterval(t_start=t1,duration=t_duration) * With an optional third argument :attr:`t_step` (a :class:`TimeArray`) indicating a time offset of a time point $t_0=t_{start}-t_{step}$ relative to which the time inside the interval should be interpreted. The relevance of this third argument will become clearer when the time interval is used to slice into a time-series object (see :ref:`time_series_access`). Briefly - the returned object would be a time-series object with the :attr:`t0` attribute set to be the $t_0$ described above. If not provided, this would default to be equal to :attr:`t_start`: .. code-block:: python TimeInterval(t_start=t1, t_stop=t2, t_step=delta_t) or .. code-block:: python TimeInterval (t_start=t1,duration=delta_t1, t_step=delta_t2) Finally, we would like allow setting the interval with floating point values, which will be interpreted as time points :attr:`t_start` and :attr:`t_stop`. This convention would be convenient, but requires that the initialization of the object will know what the units are. In order to make this possible, the interval (similar to the current implementation of the time-series object will have an attribute :attr:`t_unit`, which would default to 's'. The initialization will then cast the values provided into the appropriate :class:`TimeArray` objects. .. _interval_from_slice: Implementation using a slice object ----------------------------------- Sub-classing of the slice object doesn't seem to be possible: >>> class myslice(slice): ... pass ... ------------------------------------------------------------ Traceback (most recent call last): File "", line 1, in TypeError: Error when calling the metaclass bases type 'slice' is not an acceptable base type However, it seems that a (scalar) :class:`TimeInterval` can be implemented using a slice object, provided the time points :attr:`t_start` and :attr:`t_stop` and the time offset :attr:`t_step` implement an __index__ method: >>> s = slice('t_start','t_stop','t_step') >>> s.start 't_start' >>> s.stop 't_stop' >>> s.step 't_step' >>> s.indices(1) ------------------------------------------------------------ Traceback (most recent call last): File "", line 1, in TypeError: slice indices must be integers or None or have an __index__ method Alternatively, the :class:`TimeInterval` can be implemented as an original object with the default constructor as similar as possible to the constructor of the slice object, so that we can use slice-like operations, but still maintain slice algebra and such. In addition to the possibility of algebraic operations, there are other reasons to have the :class:`TimeInterval` be an original class that holds a slice object that can be returned by the method :func:`TI.asslice()`. .. _interval_arrays: Interval arrays --------------- In addition to scalar :class:`TimeInterval` objects, it also makes sense to define arrays of :class:`TimeInterval` objects. These arrays can be implemented as :class:`np.ndarray`, with an :class:`object` dtype. nitime-rel-0.8.1/doc/discussion/multitaper_jackknife.rst000066400000000000000000000071411350450615100234450ustar00rootroot00000000000000======================================= Jack-knifing a Multitaper SDF estimator ======================================= Assume there is a parameter :math:`\theta` that parameterizes a distribution, and that the set of random variables :math:`\lbrace Y_1, Y_2, ..., Y_n \rbrace` are i.i.d. according to that distribution. The basic jackknifed estimator :math:`\tilde{\theta}` of some parameter :math:`\theta` is found through forming *pseudovalues* :math:`\hat{\theta}_i` based on the original set of samples. With *n* samples, there are *n* pseudovalues based on *n* "leave-one-out" sample sets. General JN definitions ---------------------- | **simple sample estimate** | :math:`\hat{\theta} = \dfrac{1}{n}\sum_i Y_i` | **leave-one-out measurement** | :math:`\hat{\theta}_{-i} = \dfrac{1}{n-1}\sum_{k \neq i}Y_k` | **pseudovalues** | :math:`\hat{\theta}_i = n\hat{\theta} - (n-1)\hat{\theta}_{-i}` Now the jackknifed esimator is computed as :math:`\tilde{\theta} = \dfrac{1}{n}\sum_i \hat{\theta}_i = n\hat{\theta} - \dfrac{n-1}{n}\sum_i \hat{\theta}_{-i}` This estimator is known (?) to be distributed about the true parameter \theta approximately as a Student's t distribution, with standard error defined as :math:`s^{2} = \dfrac{n-1}{n}\sum_i \left(\hat{\theta}_i - \tilde{\theta}\right)^{2}` General Multitaper definition ----------------------------- The general multitaper spectral density function (sdf) estimator, using *n* orthonormal tapers, combines the *n* :math:`\lbrace \hat{S}_i^{mt} \rbrace` sdf estimators, and takes the form :math:`\hat{S}^{mt}(f) = \dfrac{\sum_{k} w_k(f)^2S^{mt}_k(f)}{\sum_{k} |w_k(f)|^2} = \dfrac{\sum_{k} w_k(f)^2S^{mt}_k(f)}{\lVert \vec{w}(f) \rVert^2}` For instance, using discrete prolate spheroidal sequences (DPSS) windows, the :math:`\rbrace w_i \lbrace` set, in their simplest form, are the eigenvalues of the spectral concentration system. A natural choice for a *leave-one-out* measurement is (leaving out the dependence on argument *f*) :math:`\ln\hat{S}_{-i}^{mt} = \ln\dfrac{\sum_{k \neq i} w_k^2S^{mt}_k}{\lVert \vec{w}_{-i} \rVert^2} = \ln\sum_{k \neq i} w_k^2S^{mt}_k - \ln\lVert \vec{w}_{-i} \rVert^2` where :math:`\vec{w}_{-i}` is the vector of weights with the *ith* element set to zero. The natural log has been taken so that the estimate is distributed below and above :math:`S(f)` more evenly. Multitaper Pseudovalues ----------------------- I'm not quite clear on the form of the pseudovalues for multitaper combinations. One Option `````````` The simple option is to weight the different *leave-one-out* measurements equally, which leads to :math:`\ln\hat{S}_{i}^{mt} = n\ln\hat{S}^{mt} - (n-1)\ln\hat{S}_{-i}^{mt}` And of course the estimate of :math:`S(f)` is given by :math:`\ln\tilde{S}^{mt} (f) = \dfrac{1}{n}\sum_i \ln\hat{S}_i^{mt}(f)` Another Option `````````````` Another approach seems obvious which weights the *leave-one-out* measurements according to the length of :math:`\vec{w}_{-i}`. It would look something like this | let | :math:`g = {\lVert \vec{w} \rVert^2}` | :math:`g_i = {\lVert \vec{w}_{-i} \rVert^2}` Then the pseudovalues are :math:`\ln\hat{S}_i^{mt} = \left(\ln\hat{S}^{mt} + \ln g\right) - \left(\ln\hat{S}_{-i}^{mt} + \ln g_i\right)` and the jackknifed estimator is :math:`\ln\tilde{S}^{mt} = \sum_i \ln\hat{S}_i^{mt} - \ln g` and I would wager, the standard error is estimated as :math:`s^2 = \dfrac{1}{n}\sum_i \left(\ln\hat{S}_i^{mt} - \ln\tilde{S}^{mt}\right)^2` Consensus in Literature (??) ```````````````````````````` From what I can tell from a couple of sources from Thompson [#f1]_, [#f2]_, this is the approach for estimating the variance. nitime-rel-0.8.1/doc/discussion/note_about_discussion.rst000066400000000000000000000010451350450615100236510ustar00rootroot00000000000000=================================== A note about the discussion section =================================== This section is meant as an area of the documentation meant for discussion of the implementation of various aspects of nitime, including API and analysis. However, it does not necessarily reflect the current state of the software. Some things may be implemented differently than described here, or not implemented at all. For documentation oriented at actual usage of the software, please refer to :ref:`users-guide` and :ref:`examples` nitime-rel-0.8.1/doc/discussion/time_series_access.rst000066400000000000000000000136111350450615100231020ustar00rootroot00000000000000.. _time_series_access: ==================== Time-series access ==================== Since one dimension of time-series data is associated with time, there is a natural way to index into time-series data using time objects as indices. For the data classes (:ref:`time_series_classes`) an indexing operation performed with a single time-point (a single-element :class:`TimeArray` or a :class:`TimeArray` with more than one element) should result in returning the data at that time-point - that is, removal of the time-dimension from the data. The base-classes representing time (:ref:`time_classes`) serve as natural intermediaries in this process, by providing the integer index of a particular time-point (or returning an array of integers, as the case may be, see below). Therefore, these classes should include a method which performs this conversion, :func:`index_at`. This function should accept as parameter a :class:`TimeArray` and return integers corresponding to the location of that time-point in the different types of time classes. Access into Time classes ------------------------ :class:`EventArray` ~~~~~~~~~~~~~~~~~~~ :func:`ev.index_at` returns the indices of the values in the array that are *closest* to t. That is, it returns i, such that $|(t-t_i)|$ is the minimal. Potentially, an optional 'tolerance' argument can be implemented, specifying a maximal time difference between the index time and the returned time. :class:`NonUniformTime` ~~~~~~~~~~~~~~~~~~~~~~~ As above, :func:`nut.index_at` also returns the indices in the array that are closest to t. Since :class:`NonUniformTime` is ordered, this should give you either the index below or the index above the time-point you provide as input, depending on what interval ($|t-t_i|$ or $|t-t_{i+1}|$) is smaller. :class:`UniformTime` ~~~~~~~~~~~~~~~~~~~~ :func:`ut.index_at` returns the indices of the values in the array that are the largest time values, smaller thatn the input values t. That is, it returns i for which $t_i$ is the maximal one, which still fulfills: $t_i Y and Y => X). In addition, there is the instantaneous causality between the processes: """ fig02 = plt.figure() ax02 = fig02.add_subplot(1, 1, 1) # x causes y plot ax02.plot(w, f_x2y, label='X => Y') # y causes x plot ax02.plot(w, f_y2x, label='Y => X') # instantaneous causality ax02.plot(w, f_xy, label='X:Y') ax02.legend() """ .. image:: fig/ar_est_2vars_02.png Note that these results make intuitive sense, when you look at the equations governing the mutual influences. X is entirely influenced by X (no effects of Y on X in :ref:`eq1`) and there is some influence of X on Y (:ref:`eq2`), resulting in this pattern. Finally, we calculate the total causality, which is the sum of all the above causalities. We compare this to the interdependence between the processes. This is the measure of total dependence and is closely akin to the coherence between the processes. We also compare to the empirically calculated coherence: """ fig03 = plt.figure() ax03 = fig03.add_subplot(1, 1, 1) # total causality ax03.plot(w, f_xy + f_x2y + f_y2x, label='Total causality') #Interdepence: f_id = alg.interdependence_xy(Sw) ax03.plot(w, f_id, label='Interdependence') coh = np.empty((N, 33)) for i in range(N): frex, this_coh = alg.coherence(z[i]) coh[i] = this_coh[0, 1] ax03.plot(frex, np.mean(coh, axis=0), label='Coherence') ax03.legend() """ .. image:: fig/ar_est_2vars_03.png Finally, we call plt.show(), in order to show the figures: """ plt.show() """ .. [Ding2006] M. Ding, Y. Chen and S.L. Bressler (2006) Granger causality: basic theory and application to neuroscience. In Handbook of Time Series Analysis, ed. B. Schelter, M. Winterhalder, and J. Timmer, Wiley-VCH Verlage, 2006: 451-474 .. [Morf1978] M. Morf, A. Vieira and T. Kailath (1978) Covariance Characterization by Partial Autocorrelation Matrices. The Annals of Statistics, 6: 643-648 """ nitime-rel-0.8.1/doc/examples/ar_est_3vars.py000066400000000000000000000121511350450615100211150ustar00rootroot00000000000000""" .. _mar3: ===================================================== Multivariate auto-regressive modeling - 3 variables ===================================================== This example is an extension of the example presented here: :ref:`mar`. Here, instead of 2 variables and the mutual influences between them, we map out the mutual interactions between three variables. This example follows closely an example provided in the paper by Ding, Chen and Bressler (2006) [Ding2006]_. Start with the necessary imports: """ import numpy as np import matplotlib.pyplot as pp import nitime.algorithms as alg import nitime.utils as utils """ Set the random seed: """ np.random.seed(1981) """ Simulate two multivariate autoregressive systems. The first is defined by the following equations: .. math:: X(t) = 0.8X_{t-1} - 0.5X_{t-2} + 0.4Z_{t-1} + \epsilon_x .. math:: Y(t) = 0.9Y_{t-1} - 0.8Y_{t-2} + \epsilon_y .. math:: Z(t) = 0.5Z_{t-1} - 0.2Z_{t-2} + 0.5Y_{t-1} + \epsilon_z """ cov = np.diag([0.3, 1.0, 0.2]) a1 = -np.array([[0.8, 0.0, 0.4], [0.0, 0.9, 0.0], [0.0, 0.5, 0.5]]) """ The second is defined by the following equations: .. math:: X(t) = 0.8X_{t-1} - 0.5X_{t-2} + 0.4Z_{t-1} + 0.2Y_{t-2} + \epsilon_x .. math:: Y(t) = 0.9Y_{t-1} - 0.8Y_{t-2} + \epsilon_y .. math:: Z(t) = 0.5Z_{t-1} -0.2Z_{t-2} + 0.5Y_{t-1} + \epsilon_z """ a2 = -np.array([[-0.5, 0.0, 0.0], [0.0, -0.8, 0.0], [0.0, 0.0, -0.2]]) a = np.array([a1.copy(), a2.copy()]) """ Add some feedback from Y to X at 2 lags: """ a2[0, 1] = -0.2 b = np.array([a1.copy(), a2.copy()]) def extract_ij(i, j, m): m_ij_rows = m[[i, j]] return m_ij_rows[:, [i, j]] """ We calculate the transfer function based on the coefficients: """ w, Haw = alg.transfer_function_xy(a) w, Hbw = alg.transfer_function_xy(b) """ Generate 500 sets of 100 points """ N = 500 L = 100 """ Generate the instances of the time-series based on the coefficients: """ za = np.empty((N, 3, L)) zb = np.empty((N, 3, L)) ea = np.empty((N, 3, L)) eb = np.empty((N, 3, L)) for i in range(N): za[i], ea[i] = utils.generate_mar(a, cov, L) zb[i], eb[i] = utils.generate_mar(b, cov, L) """ Try to estimate the 2nd order (m)AR coefficients-- Average together N estimates of auto-covariance at lags k=0,1,2 """ Raxx = np.empty((N, 3, 3, 3)) Rbxx = np.empty((N, 3, 3, 3)) for i in range(N): Raxx[i] = utils.autocov_vector(za[i], nlags=3) Rbxx[i] = utils.autocov_vector(zb[i], nlags=3) """ Average trials together to find autocovariance estimate, and extract pairwise components from the ac sequence: """ Raxx = Raxx.mean(axis=0) xyRa = extract_ij(0, 1, Raxx) xzRa = extract_ij(0, 2, Raxx) yzRa = extract_ij(1, 2, Raxx) Rbxx = Rbxx.mean(axis=0) xyRb = extract_ij(0, 1, Rbxx) xzRb = extract_ij(0, 2, Rbxx) yzRb = extract_ij(1, 2, Rbxx) """ Now estimate mAR coefficients and covariance from the full and pairwise relationships: """ Raxx = Raxx.transpose(2, 0, 1) a_est, cov_est1 = alg.lwr_recursion(Raxx) a_xy_est, cov_xy_est1 = alg.lwr_recursion(xyRa.transpose(2, 0, 1)) a_xz_est, cov_xz_est1 = alg.lwr_recursion(xzRa.transpose(2, 0, 1)) a_yz_est, cov_yz_est1 = alg.lwr_recursion(yzRa.transpose(2, 0, 1)) Rbxx = Rbxx.transpose(2, 0, 1) b_est, cov_est2 = alg.lwr_recursion(Rbxx) b_xy_est, cov_xy_est2 = alg.lwr_recursion(xyRb.transpose(2, 0, 1)) b_xz_est, cov_xz_est2 = alg.lwr_recursion(xzRb.transpose(2, 0, 1)) b_yz_est, cov_yz_est2 = alg.lwr_recursion(yzRb.transpose(2, 0, 1)) """ We proceed to visualize these relationships: """ fig01 = pp.figure() w, x2y_a, y2x_a, _, _ = alg.granger_causality_xy(a_xy_est, cov_xy_est1) w, x2y_b, y2x_b, _, _ = alg.granger_causality_xy(b_xy_est, cov_xy_est2) ax01 = fig01.add_subplot(321) ax01.plot(w, x2y_a, 'b--') ax01.plot(w, x2y_b, 'b') ax01.set_title('x to y') ax01.set_ylim((0, 6)) ax02 = fig01.add_subplot(322) ax02.plot(w, y2x_a, 'b--') ax02.plot(w, y2x_b, 'b') ax02.set_title('y to x') ax02.set_ylim((0, 6)) w, y2z_a, z2y_a, _, _ = alg.granger_causality_xy(a_yz_est, cov_yz_est1) w, y2z_b, z2y_b, _, _ = alg.granger_causality_xy(b_yz_est, cov_yz_est2) ax03 = fig01.add_subplot(323) ax03.plot(w, y2z_a, 'b--') ax03.plot(w, y2z_b, 'b') ax03.set_title('y to z') ax03.set_ylim((0, 6)) ax03 = fig01.add_subplot(324) ax03.plot(w, z2y_a, 'b--') ax03.plot(w, z2y_b, 'b') ax03.set_title('z to y') ax03.set_ylim((0, 6)) w, x2z_a, z2x_a, _, _ = alg.granger_causality_xy(a_xz_est, cov_xz_est1) w, x2z_b, z2x_b, _, _ = alg.granger_causality_xy(b_xz_est, cov_xz_est2) ax04 = fig01.add_subplot(325) ax04.plot(w, x2z_a, 'b--') ax04.plot(w, x2z_b, 'b') ax04.set_title('x to z') ax04.set_ylim((0, 6)) ax05 = fig01.add_subplot(326) ax05.plot(w, z2x_a, 'b--') ax05.plot(w, z2x_b, 'b') ax05.set_title('z to x') ax05.set_ylim((0, 6)) pp.show() """ Compare to figure 3 in [Ding2006]_: .. image:: fig/ar_est_3vars_01.png .. [Ding2006] M. Ding, Y. Chen and S.L. Bressler (2006) Granger causality: basic theory and application to neuroscience. In Handbook of Time Series Analysis, ed. B. Schelter, M. Winterhalder, and J. Timmer, Wiley-VCH Verlage, 2006: 451-474 """ nitime-rel-0.8.1/doc/examples/ar_model_fit.py000066400000000000000000000054661350450615100211610ustar00rootroot00000000000000""" .. _model_fit: ======================================== Fitting an MAR model: analyzer interface ======================================== In this example, we will use the Analyzer interface to fit a multivariate auto-regressive model with two time-series influencing each other. We start by importing 3rd party modules: """ import numpy as np import matplotlib.pyplot as plt """ And then by importing Granger analysis sub-module, which we will use for fitting the MAR model: """ import nitime.analysis.granger as gc """ The utils sub-module includes a function to generate auto-regressive processes based on provided coefficients: """ import nitime.utils as utils """ Generate some MAR processes (according to Ding and Bressler [Ding2006]_), """ a1 = np.array([[0.9, 0], [0.16, 0.8]]) a2 = np.array([[-0.5, 0], [-0.2, -0.5]]) am = np.array([-a1, -a2]) x_var = 1 y_var = 0.7 xy_cov = 0.4 cov = np.array([[x_var, xy_cov], [xy_cov, y_var]]) """ Number of realizations of the process: """ N = 500 """ Length of each realization: """ L = 1024 order = am.shape[0] n_lags = order + 1 n_process = am.shape[-1] z = np.empty((N, n_process, L)) nz = np.empty((N, n_process, L)) np.random.seed(1981) for i in range(N): z[i], nz[i] = utils.generate_mar(am, cov, L) """ We start by estimating the order of the model from the data: """ est_order = [] for i in range(N): this_order, this_Rxx, this_coef, this_ecov = gc.fit_model(z[i][0], z[i][1]) est_order.append(this_order) order = int(np.round(np.mean(est_order))) """ Once we have estimated the order, we go ahead and fit each realization of the MAR model, constraining the model order accordingly (by setting the order keyword argument) to be always equal to the model order estimated above. """ Rxx = np.empty((N, n_process, n_process, n_lags)) coef = np.empty((N, n_process, n_process, order)) ecov = np.empty((N, n_process, n_process)) for i in range(N): this_order, this_Rxx, this_coef, this_ecov = gc.fit_model(z[i][0], z[i][1], order=order) Rxx[i] = this_Rxx coef[i] = this_coef ecov[i] = this_ecov """ We generate a time-series from the recovered coefficients, using the same randomization seed as the first mar. These should look pretty similar to each other: """ np.random.seed(1981) est_ts, _ = utils.generate_mar(np.mean(coef, axis=0), np.mean(ecov, axis=0), L) fig01 = plt.figure() ax = fig01.add_subplot(1, 1, 1) ax.plot(est_ts[0][0:100]) ax.plot(z[0][0][0:100], 'g--') """ .. image:: fig/ar_model_fit_01.png """ plt.show() """ .. [Ding2006] M. Ding, Y. Chen and S.L. Bressler (2006) Granger causality: basic theory and application to neuroscience. In Handbook of Time Series Analysis, ed. B. Schelter, M. Winterhalder, and J. Timmer, Wiley-VCH Verlage, 2006: 451-474 """ nitime-rel-0.8.1/doc/examples/event_related_fmri.py000066400000000000000000000101401350450615100223540ustar00rootroot00000000000000""" .. _et-fmri: ================== Event-related fMRI ================== Extracting the average time-series from one signal, time-locked to the occurrence of some type of event in another signal is a very typical operation in the analysis of time-series from neuroscience experiments. Therefore, we have an additional example of this kind of analysis in :ref:`grasshopper` The following example is taken from an fMRI experiment in which a subject was viewing a motion stimulus, while fMRI BOLD was recorded. The time-series in this data set were extracted from motion-sensitive voxels near area MT (a region containing motion-sensitive cells) in this subject's brain. 6 different kinds of trials could occur in this experiment (designating different directions and locations of motion). The following example shows the extraction of the time-dependent responses of the voxels in this region to the different stimuli. We start by importing modules/functions used and define some variables we will use in the analysis: """ import os import numpy as np import matplotlib.pyplot as plt import nitime import nitime.timeseries as ts import nitime.analysis as nta import nitime.viz as viz TR = 2. len_et = 15 # This is given in number of samples, not time! """ Next, we load the data into an array from the csv file, using ``np.loadtxt`` """ data_path = os.path.join(nitime.__path__[0], 'data') fname = os.path.join(data_path, 'event_related_fmri.csv') data = np.genfromtxt(fname, dtype=float, delimiter=',', names=True) """ We initialize TimeSeries objects with the data and the TR: One TimeSeries is initialized for the BOLD data: """ t1 = ts.TimeSeries(data['bold'], sampling_interval=TR) """ And another one for the events (the different stimuli): """ t2 = ts.TimeSeries(data['events'], sampling_interval=TR) """ Note that this example uses the EventRelated analyzer (also used in the :ref:`grasshopper` example), but here, instead of providing an :class:`Events` object as input, another :class:`TimeSeries` object is provided, containing an equivalent time-series with the same dimensions as the time-series on which the analysis is done, with '0' wherever no event of interest occurred and an integer wherever an even of interest occurred (sequential different integers for the different kinds of events). """ E = nta.EventRelatedAnalyzer(t1, t2, len_et) """ Two different methods of the EventRelatedAnalyzer are used: :attr:`E.eta` refers to the event-triggered average of the activity and :attr:`E.ets` refers to the event-triggered standard error of the mean (where the degrees of freedom are set by the number of trials). Note that you can also extract the event-triggered data itself as a list, by referring instead to :attr:`E.et_data`. We pass the eta and ets calculations straight into the visualization function, which plots the result: """ fig01 = viz.plot_tseries(E.eta, ylabel='BOLD (% signal change)', yerror=E.ets) """ .. image:: fig/event_related_fmri_01.png In the following example an alternative approach is taken to calculating the event-related activity, based on the finite impulse-response model (see [Burock2000]_ for details) """ fig02 = viz.plot_tseries(E.FIR, ylabel='BOLD (% signal change)') """ .. image:: fig/event_related_fmri_02.png Yet another method is based on a cross-correlation performed in the frequency domain (thanks to Lavi Secundo for providing a previous implementation of this idea). This method can speed up calculation substantially for long time-series, because the calculation is done using a vector multiplication in the frequency domain representation of the time-series, instead of a more computationally expensive convolution-like operation """ fig03 = viz.plot_tseries(E.xcorr_eta, ylabel='BOLD (% signal change)') """ .. image:: fig/event_related_fmri_03.png We call plt.show() in order to display all the figures: """ plt.show() """ .. [Burock2000] M.A. Burock and A.M.Dale (2000). Estimation and Detection of Event-Related fMRI Signals with Temporally Correlated Noise: A Statistically Efficient and Unbiased Approach. Human Brain Mapping, 11:249-260 """ nitime-rel-0.8.1/doc/examples/filtering_fmri.py000066400000000000000000000330331350450615100215240ustar00rootroot00000000000000""" .. _filter-fmri: =================================== Filtering and normalizing fMRI data =================================== Filtering fMRI data is very important. The time-series usually collected in fMRI contain a broad-band signal. However, physilogically relevant signals are thought to be present in only particular parts of the spectrum. For this reason, filtering operations, such as detrending, are a common pre-processing step in analysis of fMRI data analysis. In addition, for many fMRI analyses, it is important to normalize the data in each voxel. This is because data may differ between different voxels for 'uninteresting' reasons, such as local blood-flow differences and signal amplitude differences due to the distance from the receive coil. In the following, we will demonstrate usage of nitimes analyzer objects for spectral estimation, filtering and normalization on fMRI data. We start by importing the needed modules. First modules from the standard lib and from 3rd parties: """ import os import numpy as np import matplotlib.pyplot as plt """ Next, the particular nitime classes we will be using in this example: """ import nitime # Import the time-series objects: from nitime.timeseries import TimeSeries # Import the analysis objects: from nitime.analysis import SpectralAnalyzer, FilterAnalyzer, NormalizationAnalyzer """ For starters, let's analyze data that has been preprocessed and is extracted into indivudal ROIs. This is the same data used in :ref:`multi-taper-coh` and in :ref:`resting-state` (see these examples for details). We start by setting the TR and reading the data from the CSV table into which the data was saved: """ TR = 1.89 data_path = os.path.join(nitime.__path__[0], 'data') data = np.loadtxt(os.path.join(data_path, 'fmri_timeseries.csv'), skiprows=1, delimiter=',') # Extract ROI information from the csv file headers: roi_names = np.array(data_rec.dtype.names) # This is the number of samples in each ROI: n_samples = data_rec.shape[0] # Make an empty container for the data data = np.zeros((len(roi_names), n_samples)) # Insert the data from each ROI into a row in the data: for n_idx, roi in enumerate(roi_names): data[n_idx] = data_rec[roi] # Initialize TimeSeries object: T = TimeSeries(data, sampling_interval=TR) T.metadata['roi'] = roi_names """ We will start, by examining the spectrum of the original data, before filtering. We do this by initializing a SpectralAnalyzer for the original data: """ S_original = SpectralAnalyzer(T) # Initialize a figure to put the results into: fig01 = plt.figure() ax01 = fig01.add_subplot(1, 1, 1) """ The spectral analyzer has several different methods of spectral analysis, however the all have a common API. This means that for all of them the output is a tuple. The first item in the tuple are the central frequencies of the frequency bins in the spectrum and the second item in the tuple are the magnitude of the spectrum in that frequency bin. For the purpose of this example, we will only plot the data from the 10th ROI (by indexing into the spectra). We compare all the methods of spectral estimation by plotting them together: """ ax01.plot(S_original.psd[0], S_original.psd[1][9], label='Welch PSD') ax01.plot(S_original.spectrum_fourier[0], np.abs(S_original.spectrum_fourier[1][9]), label='FFT') ax01.plot(S_original.periodogram[0], S_original.periodogram[1][9], label='Periodogram') ax01.plot(S_original.spectrum_multi_taper[0], S_original.spectrum_multi_taper[1][9], label='Multi-taper') ax01.set_xlabel('Frequency (Hz)') ax01.set_ylabel('Power') ax01.legend() """ .. image:: fig/filtering_fmri_01.png Notice that, for this data, simply extracting a FFT is hardly informative (the reasons for that are explained in :ref:`multi-taper-psd`). On the other hand, the other methods provide different granularity of information, traded-off with the robustness of the estimation. The cadillac of spectral estimates is the multi-taper estimation, which provides both robustness and granularity, but notice that this estimate requires more computation than other estimates (certainly more estimates than the FFT). We note that a lot of the power in the fMRI data seems to be concentrated in frequencies below 0.02 Hz. These extremely low fluctuations in signal are often considered to be 'noise', rather than reflecting neural processing. In addition, there is a broad distribution of power up to the Nyquist frequency. However, some estimates of the hemodynamic response suggest that information above 0.15 could not reflect the slow filtering of neural response to the BOLD response measured in fMRI. Thus, it would be advantageous to remove fluctuations below 0.02 and above 0.15 Hz from the data. Next, we proceed to filter the data into this range, using different methods. We start by initializing a FilterAnalyzer. This is initialized with the time-series containing the data and with the upper and lower bounds of the range into which we wish to filter (in Hz): """ F = FilterAnalyzer(T, ub=0.15, lb=0.02) # Initialize a figure to display the results: fig02 = plt.figure() ax02 = fig02.add_subplot(1, 1, 1) # Plot the original, unfiltered data: ax02.plot(F.data[0], label='unfiltered') """ As with the SpectralAnalyzer, there is a common API for the different methods used for filtering. We use the following methods: - Boxcar filter: The time-series is convolved with a box-car function of the right length to smooth the data to such an extent that the frequencies higher than represented by the length of this box-car function are no longer present in the smoothed version of the time-series. This functions as a low-pass filter. The data can then be high-pass filtered by subtracting this version of the data from the original. For a band-pass filter, both of these operations are done. """ ax02.plot(F.filtered_boxcar.data[0], label='Boxcar filter') """ - FIR filter: A digital filter with a finite impulse response. These filters have an order of 64 per default, but that can be adjusted by setting the key word argument 'filt_order', passed to initialize the FilterAnalyzer. For FIR filtering, :mod:`nitime` uses a Hamming window filter, but this can also be changed by setting the key word argument 'fir_win'. As with the boxcar filter, if band-pass filtering is required, a low-pass filter is applied and then a high-pass filter is applied to the resulting time-series. """ ax02.plot(F.fir.data[0], label='FIR') """ - IIR filter: A digital filter with an infinite impulse response function. Per default an elliptic filter is used here, but this can be changed, by setting the 'iir_type' key word argument used when initializing the FilterAnalyzer. For both FIR filters and IIR filters, :func:`scipy.signal.filtfilt` is used in order to achieve zero phase delay filtering. """ ax02.plot(F.iir.data[0], label='IIR') """ - Fourier filter: this is a quick and dirty filter. The data is FFT-ed into the frequency domain. The power in the unwanted frequency bins is removed (by replacing the power in these bins with zero) and the data is IFFT-ed back into the time-domain. """ ax02.plot(F.filtered_fourier.data[0], label='Fourier') ax02.legend() ax02.set_xlabel('Time (TR)') ax02.set_ylabel('Signal amplitude (a.u.)') """ .. image:: fig/filtering_fmri_02.png Examining the resulting time-series closely reveals that large fluctuations in very slow frequencies have been removed, but also small fluctuations in high frequencies have been attenuated through filtering. Comparing the resulting spectra of these different filters shows the various trade-offs of each filtering method, including the fidelity with which the original spectrum is replicated within the pass-band and the amount of attenuation within the stop-bands. We can do that by initializng a SpectralAnalyzer for each one of the filtered time-series resulting from the above operation and plotting their spectra. For ease of compariso, we only plot the spectra using the multi-taper spectral estimation. At the level of granularity provided by this method, the diferences between the methods are emphasized: """ S_fourier = SpectralAnalyzer(F.filtered_fourier) S_boxcar = SpectralAnalyzer(F.filtered_boxcar) S_fir = SpectralAnalyzer(F.fir) S_iir = SpectralAnalyzer(F.iir) fig03 = plt.figure() ax03 = fig03.add_subplot(1, 1, 1) ax03.plot(S_original.spectrum_multi_taper[0], S_original.spectrum_multi_taper[1][9], label='Original') ax03.plot(S_fourier.spectrum_multi_taper[0], S_fourier.spectrum_multi_taper[1][9], label='Fourier') ax03.plot(S_boxcar.spectrum_multi_taper[0], S_boxcar.spectrum_multi_taper[1][9], label='Boxcar') ax03.plot(S_fir.spectrum_multi_taper[0], S_fir.spectrum_multi_taper[1][9], label='FIR') ax03.plot(S_iir.spectrum_multi_taper[0], S_iir.spectrum_multi_taper[1][9], label='IIR') ax03.legend() """ .. image:: fig/filtering_fmri_03.png Next, we turn to normalize the filtered data. This can be done in one of two methods: - Percent change: the data in each voxel is normalized as percent signal change, relative to the mean BOLD signal in the voxel - Z score: The data in each voxel is normalized to have 0 mean and a standard deviation of 1. We will use the filtered data, in order to demonstrate how the output of one analyzer can be used as the input to the other: """ fig04 = plt.figure() ax04 = fig04.add_subplot(1, 1, 1) ax04.plot(NormalizationAnalyzer(F.fir).percent_change.data[0], label='% change') ax04.plot(NormalizationAnalyzer(F.fir).z_score.data[0], label='Z score') ax04.legend() ax04.set_xlabel('Time (TR)') ax04.set_ylabel('Amplitude (% change or Z-score)') """ .. image:: fig/filtering_fmri_04.png Notice that the same methods of filtering and normalization can be applied to fMRI data, upon reading it from a nifti file, using :mod:`nitime.fmri.io`. We demonstrate that in what follows.[Notice that nibabel (http://nipy.org/nibabel) is required in order to run the following examples. An error will be thrown if nibabel is not installed] """ try: from nibabel import load except ImportError: raise ImportError('You need nibabel (http:/nipy.org/nibabel/) in order to run this example') import nitime.fmri.io as io """ We define the TR of the analysis and the frequency band of interest: """ TR = 1.35 f_lb = 0.02 f_ub = 0.15 """ An fMRI data file with some fMRI data is shipped as part of the distribution, the following line will find the path to this data on the specific computer: """ data_file_path = test_dir_path = os.path.join(nitime.__path__[0], 'data') fmri_file = os.path.join(data_file_path, 'fmri1.nii.gz') """ Read in the dimensions of the data, using nibabel: """ fmri_data = load(fmri_file) volume_shape = fmri_data.shape[:-1] coords = list(np.ndindex(volume_shape)) coords = np.array(coords).T """ We use :mod:`nitime.fmri.io` in order to generate a TimeSeries object from spatial coordinates in the data file. Notice that normalization method is provided as a string input to the keyword argument 'normalize' and the filter and its properties are provided as a dict to the keyword argument 'filter': """ T_unfiltered = io.time_series_from_file(fmri_file, coords, TR=TR, normalize='percent') T_fir = io.time_series_from_file(fmri_file, coords, TR=TR, normalize='percent', filter=dict(lb=f_lb, ub=f_ub, method='fir', filt_order=10)) T_iir = io.time_series_from_file(fmri_file, coords, TR=TR, normalize='percent', filter=dict(lb=f_lb, ub=f_ub, method='iir', filt_order=10)) T_boxcar = io.time_series_from_file(fmri_file, coords, TR=TR, normalize='percent', filter=dict(lb=f_lb, ub=f_ub, method='boxcar', filt_order=10)) fig05 = plt.figure() ax05 = fig05.add_subplot(1, 1, 1) S_unfiltered = SpectralAnalyzer(T_unfiltered).spectrum_multi_taper S_fir = SpectralAnalyzer(T_fir).spectrum_multi_taper S_iir = SpectralAnalyzer(T_iir).spectrum_multi_taper S_boxcar = SpectralAnalyzer(T_boxcar).spectrum_multi_taper random_voxel = np.random.randint(0, np.prod(volume_shape)) ax05.plot(S_unfiltered[0], S_unfiltered[1][random_voxel], label='Unfiltered') ax05.plot(S_fir[0], S_fir[1][random_voxel], label='FIR filtered') ax05.plot(S_iir[0], S_iir[1][random_voxel], label='IIR filtered') ax05.plot(S_boxcar[0], S_boxcar[1][random_voxel], label='Boxcar filtered') ax05.legend() """ .. image:: fig/filtering_fmri_05.png Notice that though the boxcar filter doesn't usually do an amazing job with long time-series and IIR/FIR filters seem to be superior in those cases, in this example, where the time-series is much shorter, it sometimes does a relatively decent job. We call plt.show() in order to display the figure: """ plt.show() nitime-rel-0.8.1/doc/examples/granger_fmri.py000066400000000000000000000147151350450615100211740ustar00rootroot00000000000000""" .. gc-fmri ================================ Granger 'causality' of fMRI data ================================ Granger 'causality' analysis provides an asymmetric measure of the coupling between two time-series. When discussing this analysis method, we will put the word 'causality' in single quotes, as we believe that use of this word outside of quotes should be reserved for particular circumstances, often not fulfilled in the analysis of simultaneously recorder neuroscientific time-series (see [Pearl2009]_ for an extensive discussion of this distinction). The central idea behind this analysis is that time-series can be described in terms of a time-delayed auto-regressive model of the form: .. math:: x_t = \sum_{i=1}^{n}a_i x_{t-i} + \epsilon_t Here, the past behaviour of a single time-series is used in order to predict the current value of the time-series. In Granger 'causality' analysis, we test whether the addition of a prediction of the time-series from another time-series through a multivariate auto-regressive model may improve our prediction of the present behavior of the time-series (reducing the value of the error term $\epsilon_t$): .. math:: x_t = \sum_{i=1}^{n}(a_i x_{t-i} + b_i y_{t-i}) + \epsilon_t In our implementation of the algorithms used for this analysis, we follow closely the description put forth by Ding et al. ([Ding2006]_). Also, see :ref:`mar` and :ref:`ar` for examples even more closely modeled on the examples mentioned in their paper. Here, we will demonstrate the use of Granger 'causality' analysis with fMRI data. The data is provided as part of the distribution and is taken from a 'resting state' scan. The data was motion corrected and averaged from several ROIs. We start by importing the needed modules: """ import os import numpy as np import matplotlib.pyplot as plt import nitime import nitime.analysis as nta import nitime.timeseries as ts import nitime.utils as tsu from nitime.viz import drawmatrix_channels """ We then define a few parameters of the data: the TR and the bounds on the frequency band of interest. """ TR = 1.89 f_ub = 0.15 f_lb = 0.02 """ We read in the resting state fMRI data into a recarray from a csv file: """ data_path = os.path.join(nitime.__path__[0], 'data') fname = os.path.join(data_path, 'fmri_timeseries.csv') data_rec = np.genfromtxt(fname, dtype=float, delimiter=',', names=True) roi_names = np.array(data_rec.dtype.names) nseq = len(roi_names) n_samples = data_rec.shape[0] data = np.zeros((nseq, n_samples)) for n_idx, roi in enumerate(roi_names): data[n_idx] = data_rec[roi] """ We normalize the data in each of the ROIs to be in units of % change and initialize the TimeSeries object: """ pdata = tsu.percent_change(data) time_series = ts.TimeSeries(pdata, sampling_interval=TR) """ We initialize the GrangerAnalyzer object, while specifying the order of the autoregressive model to be 1 (predict the current behavior of the time-series based on one time-point back). """ G = nta.GrangerAnalyzer(time_series, order=1) """ For comparison, we also initialize a CoherenceAnalyzer and a CorrelationAnalyzer, with the same TimeSeries object: """ C1 = nta.CoherenceAnalyzer(time_series) C2 = nta.CorrelationAnalyzer(time_series) """ We are only interested in the physiologically relevant frequency band (approximately 0.02 to 0.15 Hz). The spectral resolution is different in these two different analyzers. In the CoherenceAnalyzer, the spectral resolution depends on the size of the window used for calculating the spectral density and cross-spectrum, whereas in the GrangerAnalyzer it is derived, as determined by the user, from the MAR model used. For this reason, the indices used to access the relevant part of the spectrum will be different in the different analyzers. """ freq_idx_G = np.where((G.frequencies > f_lb) * (G.frequencies < f_ub))[0] freq_idx_C = np.where((C1.frequencies > f_lb) * (C1.frequencies < f_ub))[0] """ We plot the 'causality' from x to y ($F_{x \rightarrow y}$) and from y to x ($F_{y \rightarrow x}$ for the first two ROIs and compare to the coherence between these two time-series: """ coh = np.mean(C1.coherence[:, :, freq_idx_C], -1) # Averaging on the last dimension g1 = np.mean(G.causality_xy[:, :, freq_idx_G], -1) fig01 = drawmatrix_channels(coh, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/granger_fmri_01.png """ fig02 = drawmatrix_channels(C2.corrcoef, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/granger_fmri_02.png """ fig03 = drawmatrix_channels(g1, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/granger_fmri_03.png Differences in the HRF between different ROIs are a potential source of misattribution of the direction and magnitude of dependence between time-series in fMRI data (for a particularly extreme example of that see [David2008]_). Therefore, as suggested by Roebroeck et al. [Roebroeck2005]_ and [Kayser2009]_ we turn to examine the difference between $F_{x\rightarrow y}$ and $F_{y\rightarrow x}$. """ g2 = np.mean(G.causality_xy[:, :, freq_idx_G] - G.causality_yx[:, :, freq_idx_G], -1) fig04 = drawmatrix_channels(g2, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/granger_fmri_04.png If these values are found to be significantly different than 0, this constitutes evidence for a correlation with a time-lag between the regions. This is a necessary (though not necessarily sufficient...) condition for establishing functional connectivity between the regions. Finally, we call plt.show(), to show the plots created: """ plt.show() """ References ---------- .. [Pearl2009] J. Pearl (2009). Causal inference in statistics: An overview. Statistics surveys 3: 96-146. .. [Ding2006] M. Ding, Y. Chen, S.L. Bressler (2006) Granger causality: basic theory and application to neuroscience. In Handbook of Time Series Analysis, ed. B. Schelter, M. Winterhalder, and J. Timmer, Wiley-VCH Verlage, 2006: 451-474 .. [Roebroeck2005] A. Roebroeck, E., Formisano R. Goebel (2005). Mapping directed influence over the brain using Granger causality and fMRI. NeuroImage 25: 230-242. .. [Kayser2009] A. Kayser, F. Sun, M. D'Esposito (2009). A comparison of Granger causality and coherency in fMRI-based analysis of the motor system. NeuroImage 30: 3475-94 .. [David2008] O. David, I. Guillemain, S. Saillet, S. Reyt, C. Deransart, C. Segebarth, A. Depaulis (2008). Identifying neural drivers with functional MRI: An electrophysiological validation. PLoS Biol 6:e315 """ nitime-rel-0.8.1/doc/examples/grasshopper.py000066400000000000000000000130151350450615100210570ustar00rootroot00000000000000""" .. _grasshopper: ===================================== Auditory processing in grasshoppers ===================================== Extracting the average time-series from one signal, time-locked to the occurrence of some type of event in another signal is a very typical operation in the analysis of time-series from neuroscience experiments. Therefore, we have an additional example of this kind of analysis in :ref:`et-fmri` In the following code-snippet, we demonstrate the calculation of the spike-triggered average (STA). This is the average of the stimulus wave-form preceding the emission of a spike in the neuron and can be thought of as the stimulus 'preferred' by this neuron. We start by importing the required modules: """ import os import numpy as np import nitime import nitime.timeseries as ts import nitime.analysis as tsa import nitime.viz as viz from matplotlib import pyplot as plt """ Two data files are used in this example. The first contains the times of action potentials ('spikes'), recorded intra-cellularly from primary auditory receptors in the grasshopper *Locusta Migratoria*. We read in these times and initialize an Events object from them. The spike-times are given in micro-seconds: """ data_path = os.path.join(nitime.__path__[0], 'data') spike_times = np.loadtxt(os.path.join(data_path, 'grasshopper_spike_times1.txt')) spike_ev = ts.Events(spike_times, time_unit='us') """ The first data file contains the stimulus that was played during the recording. Briefly, the stimulus played was a pure-tone in the cell's preferred frequency amplitude modulated by Gaussian white-noise, up to a cut-off frequency (200 Hz in this case, for details on the experimental procedures and the stimulus see [Rokem2006]_). """ stim = np.loadtxt(os.path.join(data_path, 'grasshopper_stimulus1.txt')) """ The stimulus needs to be transformed from Volts to dB: """ def volt2dB(stim, maxdB=100): stim = (20 * 1 / np.log(10)) * (np.log(stim[:, 1] / 2.0e-5)) return maxdB - stim.max() + stim stim = volt2dB(stim, maxdB=76.4286) # maxdB taken from the spike file header """ We create a time-series object for the stimulus, which was sampled at 20 kHz: """ stim_time_series = ts.TimeSeries(t0=0, data=stim, sampling_interval=50, time_unit='us') """ Note that the time-representation will not change if we now convert the time-unit into ms. The only thing this accomplishes is to use this time-unit in subsequent visualization of the resulting time-series """ stim_time_series.time_unit = 'ms' """ Next, we initialize an EventRelatedAnalyzer: """ event_related = tsa.EventRelatedAnalyzer(stim_time_series, spike_ev, len_et=200, offset=-200) """ The actual STA gets calculated in this line (the call to 'event_related.eta') and the result gets input directly into the plotting function: """ fig01 = viz.plot_tseries(event_related.eta, ylabel='Amplitude (dB SPL)') """ We prettify the plot a bit by adding a dashed line at the mean of the stimulus """ ax = fig01.get_axes()[0] xlim = ax.get_xlim() ylim = ax.get_ylim() mean_stim = np.mean(stim_time_series.data) ax.plot([xlim[0], xlim[1]], [mean_stim, mean_stim], 'k--') """ .. image:: fig/grasshopper_01.png In the following example, a second channel has been added to both the stimulus and the spike-train time-series. This is the response of the same cell, to a different stimulus, in which the frequency modulation has a higher frequency cut-off (800 Hz). """ stim2 = np.loadtxt(os.path.join(data_path, 'grasshopper_stimulus2.txt')) stim2 = volt2dB(stim2, maxdB=76.4286) spike_times2 = np.loadtxt(os.path.join(data_path, 'grasshopper_spike_times2.txt')) """ We loop over the two spike-time events and stimulus time-series: """ et = [] means = [] for stim, spike in zip([stim, stim2], [spike_times, spike_times2]): stim_time_series = ts.TimeSeries(t0=0, data=stim, sampling_interval=50, time_unit='us') stim_time_series.time_unit = 'ms' spike_ev = ts.Events(spike, time_unit='us') #Initialize the event-related analyzer event_related = tsa.EventRelatedAnalyzer(stim_time_series, spike_ev, len_et=200, offset=-200) """ This is the line which actually executes the analysis """ et.append(event_related.eta) means.append(np.mean(stim_time_series.data)) """ Stack the data from both time-series, initialize a new time-series and plot it: """ fig02 = viz.plot_tseries( ts.TimeSeries(data=np.vstack([et[0].data, et[1].data]), sampling_rate=et[0].sampling_rate, time_unit='ms')) ax = fig02.get_axes()[0] xlim = ax.get_xlim() ax.plot([xlim[0], xlim[1]], [means[0], means[0]], 'b--') ax.plot([xlim[0], xlim[1]], [means[1], means[1]], 'g--') """ .. image:: fig/grasshopper_02.png plt.show() is called in order to display the figures """ plt.show() """ The data used in this example is also available on the `CRCNS data sharing web-site `_. .. [Rokem2006] Ariel Rokem, Sebastian Watzl, Tim Gollisch, Martin Stemmler, Andreas V M Herz and Ines Samengo (2006). Spike-timing precision underlies the coding efficiency of auditory receptor neurons. J Neurophysiol, 95:2541--52 """ nitime-rel-0.8.1/doc/examples/mtm_baseband_power.py000066400000000000000000000112211350450615100223470ustar00rootroot00000000000000""" .. _multi-taper-baseband-power: =========================================== Multitaper method for baseband demodulation =========================================== Another application of the Slepian functions is to estimate the complex demodulate of a narrowband signal. This signal is normally of interest in neuroimaging when finding the lowpass power envelope and the instantaneous phase. The traditional technique uses the Hilbert transform to find the analytic signal. However, this approach suffers problems of bias and reliability, much like the periodogram suffers in PSD estimation. Once again, a multitaper approach can provide an estimate with lower variance. The following demonstrates the use of spectra of multiple windows to compute a power envelope of a signal in a desired band. """ import numpy as np import scipy.signal as signal import nitime.algorithms as nt_alg import nitime.utils as nt_ut import matplotlib.pyplot as pp """ We'll set up a test signal with a red spectrum (integrated Gaussian noise). """ N = 10000 nfft = np.power( 2, int(np.ceil(np.log2(N))) ) NW = 40 W = float(NW)/N """ Create a nearly lowpass band-limited signal. """ s = np.cumsum( np.random.randn(N) ) """ Strictly enforce the band-limited property in this signal. """ (b, a) = signal.butter(3, W, btype='lowpass') slp = signal.lfilter(b, a, s) """ Modulate both signals away from baseband. """ s_mod = s * np.cos(2*np.pi*np.arange(N) * float(200) / N) slp_mod = slp * np.cos(2*np.pi*np.arange(N) * float(200) / N) fm = int( np.round(float(200) * nfft / N) ) """ Create Slepians with the desired bandpass resolution (2W). """ (dpss, eigs) = nt_alg.dpss_windows(N, NW, 2*NW) keep = eigs > 0.9 dpss = dpss[keep]; eigs = eigs[keep] """ Test 1 ------ We'll compare multitaper baseband power estimation with regular Hilbert transform method under actual narrowband conditions. """ # MT method xk = nt_alg.tapered_spectra(slp_mod, dpss, NFFT=nfft) mtm_bband = np.sum( 2 * (xk[:,fm] * np.sqrt(eigs))[:,None] * dpss, axis=0 ) # Hilbert transform method hb_bband = signal.hilbert(slp_mod, N=nfft)[:N] pp.figure() pp.subplot(211) pp.plot(slp_mod, 'g') pp.plot(np.abs(mtm_bband), color='b', linewidth=3) pp.title('Multitaper Baseband Power') pp.subplot(212) pp.plot(slp_mod, 'g') pp.plot(np.abs(hb_bband), color='b', linewidth=3) pp.title('Hilbert Baseband Power') pp.gcf().tight_layout() """ .. image:: fig/mtm_baseband_power_01.png We see in the narrowband signal case that there's not much difference between taking the Hilbert transform and calculating the multitaper complex demodulate. """ """ Test 2 ------ Now we'll compare multitaper baseband power estimation with regular Hilbert transform method under more realistic non-narrowband conditions. """ # MT method xk = nt_alg.tapered_spectra(s_mod, dpss, NFFT=nfft) w, n = nt_ut.adaptive_weights(xk, eigs, sides='onesided') mtm_bband = np.sum( 2 * (xk[:,fm] * np.sqrt(eigs))[:,None] * dpss, axis=0 ) # Hilbert transform method hb_bband = signal.hilbert(s_mod, N=nfft)[:N] pp.figure() pp.subplot(211) pp.plot(s_mod, 'g') pp.plot(np.abs(mtm_bband), color='b', linewidth=3) pp.title('Multitaper Baseband Power') pp.subplot(212) pp.plot(s_mod, 'g') pp.plot(np.abs(hb_bband), color='b', linewidth=3) pp.title('Hilbert Baseband Power') pp.gcf().tight_layout() """ .. image:: fig/mtm_baseband_power_02.png Here we see that since the underlying signal is not truly narrowband, the broadband bias is corrupting the Hilbert transform estimation of the complex demodulate. However the multitaper estimate clearly remains lowpass. """ """ Another property of computing the complex demodulate from the spectra of multiple windows is that all bandpasses can be computed. In the above examples, we were only taking a slice from the modulation frequency that we set up. In practice, we might be interested in bandpasses at various frequencies. Note here, though, that our bandwidth is set by the Slepian sequences we used for analysis. The following plot shows a family of complex demodulates at frequencies near the modulation frequency. """ ### Show a family of baseband demodulations from the multitaper method #eigen_coefs = 2 * (xk[:,(fm-100):(fm+100):10] * np.sqrt(eigs)[:,None]) eigen_coefs = 2 * (xk[:,(fm-100):(fm+100):10] * \ np.sqrt(w[:,(fm-100):(fm+100):10])) mtm_fbband = np.sum( eigen_coefs[:,:,None] * dpss[:,None,:], axis=0 ) pp.figure() pp.plot(s_mod, 'g') pp.plot(np.abs(mtm_fbband).T, linestyle='--', linewidth=2) pp.plot(np.abs(mtm_bband), color='b', linewidth=3) pp.title('Multitaper Baseband Power: Demodulation Freqs in (fm-100, fm+100)') pp.gcf().tight_layout() """ .. image:: fig/mtm_baseband_power_03.png """ pp.show() nitime-rel-0.8.1/doc/examples/mtm_harmonic_test.py000066400000000000000000000105571350450615100222460ustar00rootroot00000000000000""" .. _multi-taper-harmonic-test: ========================================= Multitaper F-test for harmonic components ========================================= The Slepian sequences of the multitaper spectral estimation method can also be used to perform a hypothesis test regarding the presence of a pure sinusoid at any analyzed frequency. The F-test is used to assess whether the power at a given frequency can be attributed to a single line component. In this case, the power would be given by the summed spectral convolutions of the Slepian frequency functions with the line power spectrum, which is a dirac delta. The complex Fourier coefficient of the putative sinusoid is estimated through a linear regression of the Slepian DC components, and the strength of the regression coefficient is tested against the residual spectral power for the F-test. The following demonstrates the use of the harmonic test. """ import numpy as np import nitime.algorithms as nt_alg import nitime.utils as nt_ut import matplotlib.pyplot as pp """ We will set up a test signal with 3 harmonic components within Gaussian noise. The line components must be sufficiently resolved given the multitaper bandwidth of 2NW. """ N = 10000 fft_pow = int( np.ceil(np.log2(N) + 2) ) NW = 4 lines = np.sort(np.random.randint(100, 2**(fft_pow-6), size=(3,))) while np.any( np.diff(lines) < 2*NW ): lines = np.sort(np.random.randint(2**(fft_pow-6), size=(3,))) lines = lines.astype('d') """ The harmonic test should find *exact* frequencies if they were to fall on the FFT grid. (Try commenting the following to see.) In the scenario of real sampled data, increasing the number of FFT points can help to locate the line components. """ lines += np.random.randn(3) # displace from grid locations """ Now proceed to specify the frequencies, phases, and amplitudes. """ lines /= 2.0**(fft_pow-2) # ensure they are well separated phs = np.random.rand(3) * 2 * np.pi amps = np.sqrt(2)/2 + np.abs( np.random.randn(3) ) """ Set the RMS noise power here. Strategies to detect harmonics in low SNR include improving the reliability of the spectral estimate (increasing NW) and/or increasing the number of FFT points. Note that the former option will limit the ability to resolve lines at nearby frequencies. """ nz_sig = 1 tx = np.arange(N) harmonics = amps[:,None]*np.cos( 2*np.pi*tx*lines[:,None] + phs[:,None] ) harmonic = np.sum(harmonics, axis=0) nz = np.random.randn(N) * nz_sig sig = harmonic + nz """ Take a look at our mock signal. """ pp.figure() pp.subplot(211) pp.plot(harmonics.T) pp.xlim(*(np.array([0.2, 0.3])*N).astype('i')) pp.title('Sinusoid components') pp.subplot(212) pp.plot(harmonic, color='k', linewidth=3) pp.plot(sig, color=(.6, .6, .6), linewidth=2, linestyle='--') #pp.xlim(2000, 3000) pp.xlim(*(np.array([0.2, 0.3])*N).astype('i')) pp.title('Signal in noise') pp.gcf().tight_layout() """ .. image:: fig/mtm_harmonic_test_01.png """ """ Here we'll use the :func:`utils.detect_lines` function with the given Slepian properties (NW), and we'll ensure that we limit spectral bias by choosing Slepians with concentration factors greater than 0.9. The arrays returned include the detected line frequencies (f) and their complex coefficients (b). The frequencies are normalized from :math:`(0,\frac{1}{2})` """ f, b = nt_ut.detect_lines(sig, (NW, 2*NW), low_bias=True, NFFT=2**fft_pow) h_est = 2*(b[:,None]*np.exp(2j*np.pi*tx*f[:,None])).real pp.figure() pp.subplot(211) pp.plot(harmonics.T, 'c', linewidth=3) pp.plot(h_est.T, 'r--', linewidth=2) pp.title('%d lines detected' % h_est.shape[0]) pp.xlim(*(np.array([0.2, 0.3])*N).astype('i')) pp.subplot(212) err = harmonic - np.sum(h_est, axis=0) pp.plot(err**2) pp.title('Error signal') pp.show() """ .. image:: fig/mtm_harmonic_test_02.png We can see the quality (or not) of our estimated lines. A breakdown of the errors in the various estimated quantities follows in the demo. """ phs_est = np.angle(b) phs_est[phs_est < 0] += 2*np.pi phs_err = np.linalg.norm(phs_est - phs)**2 amp_err = np.linalg.norm(amps - 2*np.abs(b))**2 / np.linalg.norm(amps)**2 freq_err = np.linalg.norm(lines - f)**2 print('freqs:', lines, '\testimated:', f, '\terr: %1.3e' % freq_err) print('amp:', amps, '\testimated:', 2*np.abs(b), '\terr: %1.3e' % amp_err) print('phase:', phs, '\testimated:', phs_est, '\terr: %1.3e' % phs_err) print('MS error over noise: %1.3e' % (np.mean(err**2)/nz_sig**2,)) nitime-rel-0.8.1/doc/examples/multi_taper_coh.py000066400000000000000000000176221350450615100217100ustar00rootroot00000000000000""" .. _multi-taper-coh: =============================== Multitaper coherence estimation =============================== Coherence estimation can be done using windowed-spectra. This is the method used in the example :ref:`resting-state`. In addition, multitaper spectral estimation can be used in order to calculate coherence and also confidence intervals for the coherence values that result (see :ref:`multi-taper-psd`) The data analyzed here is an fMRI data-set contributed by Beth Mormino. The data is taken from a single subject in a "resting-state" scan, in which subjects are fixating on a cross and maintaining alert wakefulness, but not performing any other behavioral task. We start by importing modules/functions we will use in this example and define variables which will be used as the sampling interval of the TimeSeries objects and as upper and lower bounds on the frequency range analyzed: """ import os import numpy as np import matplotlib.pyplot as plt import scipy.stats.distributions as dist from scipy import fftpack import nitime from nitime.timeseries import TimeSeries from nitime import utils import nitime.algorithms as alg import nitime.viz from nitime.viz import drawmatrix_channels from nitime.analysis import CoherenceAnalyzer, MTCoherenceAnalyzer TR = 1.89 f_ub = 0.15 f_lb = 0.02 """ We read in the data into a recarray from a csv file: """ data_path = os.path.join(nitime.__path__[0], 'data') fname = os.path.join(data_path, 'fmri_timeseries.csv') data_rec = np.genfromtxt(fname, dtype=float, delimiter=',', names=True) """ The first line in the file contains the names of the different brain regions (or ROI = regions of interest) from which the time-series were derived. We extract the data into a regular array, while keeping the names to be used later: """ roi_names = np.array(data_rec.dtype.names) nseq = len(roi_names) n_samples = data_rec.shape[0] data = np.zeros((nseq, n_samples)) for n_idx, roi in enumerate(roi_names): data[n_idx] = data_rec[roi] """ We normalize the data in each of the ROIs to be in units of % change: """ pdata = utils.percent_change(data) """ We start by performing the detailed analysis, but note that a significant short-cut is presented below, so if you just want to know how to do this (without needing to understand the details), skip on down. We start by defining how many tapers will be used and calculate the values of the tapers and the associated eigenvalues of each taper: """ NW = 4 K = 2 * NW - 1 tapers, eigs = alg.dpss_windows(n_samples, NW, K) """ We multiply the data by the tapers and derive the Fourier transform and the magnitude of the squared spectra (the power) for each tapered time-series: """ tdata = tapers[None, :, :] * pdata[:, None, :] tspectra = fftpack.fft(tdata) ## mag_sqr_spectra = np.abs(tspectra) ## np.power(mag_sqr_spectra, 2, mag_sqr_spectra) """ Coherence for real sequences is symmetric, so we calculate this for only half the spectrum (the other half is equal): """ L = n_samples // 2 + 1 sides = 'onesided' """ We estimate adaptive weighting of the tapers, based on the data (see :ref:`multi-taper-psd` for an explanation and references): """ w = np.empty((nseq, K, L)) for i in range(nseq): w[i], _ = utils.adaptive_weights(tspectra[i], eigs, sides=sides) """ We proceed to calculate the coherence. We initialize empty data containers: """ csd_mat = np.zeros((nseq, nseq, L), 'D') psd_mat = np.zeros((2, nseq, nseq, L), 'd') coh_mat = np.zeros((nseq, nseq, L), 'd') coh_var = np.zeros_like(coh_mat) """ Looping over the ROIs: """ for i in range(nseq): for j in range(i): """ We calculate the multi-tapered cross spectrum between each two time-series: """ sxy = alg.mtm_cross_spectrum( tspectra[i], tspectra[j], (w[i], w[j]), sides='onesided' ) """ And the individual PSD for each: """ sxx = alg.mtm_cross_spectrum( tspectra[i], tspectra[i], w[i], sides='onesided' ) syy = alg.mtm_cross_spectrum( tspectra[j], tspectra[j], w[j], sides='onesided' ) psd_mat[0, i, j] = sxx psd_mat[1, i, j] = syy """ Coherence is : $Coh_{xy}(\lambda) = \frac{|{f_{xy}(\lambda)}|^2}{f_{xx}(\lambda) \cdot f_{yy}(\lambda)}$ """ coh_mat[i, j] = np.abs(sxy) ** 2 coh_mat[i, j] /= (sxx * syy) csd_mat[i, j] = sxy """ The variance from the different samples is calculated using a jack-knife approach: """ if i != j: coh_var[i, j] = utils.jackknifed_coh_variance( tspectra[i], tspectra[j], eigs, adaptive=True, ) """ This measure is normalized, based on the number of tapers: """ coh_mat_xform = utils.normalize_coherence(coh_mat, 2 * K - 2) """ We calculate 95% confidence intervals based on the jack-knife variance calculation: """ t025_limit = coh_mat_xform + dist.t.ppf(.025, K - 1) * np.sqrt(coh_var) t975_limit = coh_mat_xform + dist.t.ppf(.975, K - 1) * np.sqrt(coh_var) utils.normal_coherence_to_unit(t025_limit, 2 * K - 2, t025_limit) utils.normal_coherence_to_unit(t975_limit, 2 * K - 2, t975_limit) if L < n_samples: freqs = np.linspace(0, 1 / (2 * TR), L) else: freqs = np.linspace(0, 1 / TR, L, endpoint=False) """ We look only at frequencies between 0.02 and 0.15 (the physiologically relevant band, see http://imaging.mrc-cbu.cam.ac.uk/imaging/DesignEfficiency: """ freq_idx = np.where((freqs > f_lb) * (freqs < f_ub))[0] """ We extract the coherence and average over all these frequency bands: """ coh = np.mean(coh_mat[:, :, freq_idx], -1) # Averaging on the last dimension """ The next line calls the visualization routine which displays the data: """ fig01 = drawmatrix_channels(coh, roi_names, size=[10., 10.], color_anchor=0, title='MTM Coherence') """ .. image:: fig/multi_taper_coh_01.png Next we perform the same analysis, using the nitime object oriented interface. We start by initializing a TimeSeries object with this data and with the sampling_interval provided above. We set the metadata 'roi' field with the ROI names. """ T = TimeSeries(pdata, sampling_interval=TR) T.metadata['roi'] = roi_names """ We initialize an MTCoherenceAnalyzer object with the TimeSeries object: """ C2 = MTCoherenceAnalyzer(T) """ The relevant indices in the Analyzer object are derived: """ freq_idx = np.where((C2.frequencies > 0.02) * (C2.frequencies < 0.15))[0] """ The call to C2.coherence triggers the computation and this is averaged over the frequency range of interest in the same line and then displayed: """ coh = np.mean(C2.coherence[:, :, freq_idx], -1) # Averaging on the last dimension fig02 = drawmatrix_channels(coh, roi_names, size=[10., 10.], color_anchor=0, title='MTCoherenceAnalyzer') """ .. image:: fig/multi_taper_coh_02.png For comparison, we also perform the analysis using the standard CoherenceAnalyzer object, which does the analysis using Welch's windowed periodogram, instead of the multitaper spectral estimation method (see :ref:`resting_state` for a more thorough analysis of this data using this method): """ C3 = CoherenceAnalyzer(T) freq_idx = np.where((C3.frequencies > f_lb) * (C3.frequencies < f_ub))[0] #Extract the coherence and average across these frequency bands: coh = np.mean(C3.coherence[:, :, freq_idx], -1) # Averaging on the last dimension fig03 = drawmatrix_channels(coh, roi_names, size=[10., 10.], color_anchor=0, title='CoherenceAnalyzer') """ .. image:: fig/multi_taper_coh_03.png plt.show() is called in order to display the figures: """ plt.show() nitime-rel-0.8.1/doc/examples/multi_taper_spectral_estimation.py000066400000000000000000000317141350450615100252060ustar00rootroot00000000000000""" .. _multi-taper-psd: ============================== Multitaper spectral estimation ============================== The distribution of power in a signal, as a function of frequency, known as the power spectrum (or PSD, for power spectral density) can be estimated using variants of the discrete Fourier transform (DFT). The naive estimate of the power spectrum, based on the values of the DFT estimated directly from the signal, using the fast Fourier transform algorithm (FFT) is referred to as a periodogram (see :func:`algorithms.periodogram`). This estimate suffers from several problems [NR2007]_: - Inefficiency: In most estimation problems, additional samples, or a denser sampling grid would usually lead to a better estimate (smaller variance of the estimate, given a constant level of noise). However, this is not the case for the periodogram. Even as we add more samples to our signal, or increase our sampling rate, our estimate at frequency $f_k$ does not improve. This is because of the effects these kinds of changes have on spectral estimates. Adding additional samples will improve the frequency domain resolution of our estimate and sampling at a finer rate will change the Nyquist frequency, the highest frequency for which the spectrum can be estimated. Thus, these changes do not improve the estimate at frequency $f_k$. The inefficiency problem can be solved by treating different parts of the signal as different samples from the same distribution, while assuming stationarity of the signal. In this method, a sliding window is applied to different parts of the signal and the windowed spectrum is averaged from these different samples. This is sometimes referred to as Welch's periodogram [Welch1967]_ and it is the default method used in :func:`algorithms.get_spectra` (with the Hanning window as the window function used and no overlap between the windows). However, it may lead to the following problem: - Spectral leakage and bias: Spectral leakage refers to the fact that the estimate of the spectrum at any given frequency bin is contaminated with the power from other frequency bands. This is a consequence of the fact that we always look at a time-limited signal. In the naive peridogram estimate all the samples within the time-limited signal are taken as they are (implicitly multiplied by 1) and all the samples outside of this time-limited signal are not taken at all (implicitly multiplied by 0). This is akin to what would happen if the signal were multiplied sample-by-sample with a 'boxcar' window, so called because the shape of this window is square, going from 0 to 1 over one sampling window. Multiplying the signal with a boxcar window in the time-domain is equivalent (due to the convolution theorem) to convolving it in the frequency domain with the spectrum of the boxcar window. The spectral leakage induced by this operation is demonstrated in the following example. We start by importing the modules/functions we will need in this example: """ import numpy as np import matplotlib.pyplot as plt import scipy.signal as sig import scipy.stats.distributions as dist import nitime.algorithms as tsa import nitime.utils as utils from nitime.viz import winspect from nitime.viz import plot_spectral_estimate """ For demonstration, we will use a window of 128 points: """ npts = 128 fig01 = plt.figure() # Boxcar with zeroed out fraction b = sig.boxcar(npts) zfrac = 0.15 zi = int(npts * zfrac) b[:zi] = b[-zi:] = 0 name = 'Boxcar - zero fraction=%.2f' % zfrac winspect(b, fig01, name) """ .. image:: fig/multi_taper_spectral_estimation_01.png The figure on the left shows a boxcar window and the figure on the right shows the spectrum of the boxcar function (in dB units, relative to the frequency band of interest). These two problems can together be mitigated through the use of other windows. Other windows have been designed in order to optimize the amount of spectral leakage and limit it to certain parts of the spectrum. The following example demonstrates the spectral leakage for several different windows (including the boxcar): """ fig02 = plt.figure() # Boxcar with zeroed out fraction b = sig.boxcar(npts) zfrac = 0.15 zi = int(npts * zfrac) b[:zi] = b[-zi:] = 0 name = 'Boxcar - zero fraction=%.2f' % zfrac winspect(b, fig02, name) winspect(sig.hanning(npts), fig02, 'Hanning') winspect(sig.bartlett(npts), fig02, 'Bartlett') winspect(sig.barthann(npts), fig02, 'Modified Bartlett-Hann') """ .. image:: fig/multi_taper_spectral_estimation_02.png As before, the left figure displays the windowing function in the temporal domain and the figure on the left displays the attentuation of spectral leakage in the other frequency bands in the spectrum. Notice that though different windowing functions have different spectral attenuation profiles, trading off attenuation of leakage from frequency bands near the frequency of interest (narrow-band leakage) with leakage from faraway frequency bands (broad-band leakage) they are all superior in both of these respects to the boxcar window used in the naive periodogram. Another approach which deals with both the inefficiency problem and with the spectral leakage problem is the use of taper functions. In this approach, the entire signal is multiplied by a time-varying function. Several of these functions may be used in order to emphasize and de-emphasize different parts of the signal and these can be constructed to be orthogonal to each other, constructing maximally independent samples at the length of the signal. As we will see below, this allows for statistical estimation of the distribution of the spectrum. Discrete prolate spheroidal sequences (DPSS, also known as Slepian sequences) [Slepian1978]_ are a class of taper functions which are constructed as a solution to the problem of concentrating the spectrum to within a pre-specified bandwidth. These tapers can be constructed using :func:`algorithms.dpss_windows`, but for the purpose of spectral estimation, it is sufficient to specify the bandwidth (which defines the boundary between narrow-band and broad-band leakage) as an input to :func:`algorithms.mutli_taper_psd` and this function will then construct the appropriate windows, calculate the tapered spectra and average them. We will demonstrate the use of DPSS in spectral estimation on a time-series with known spectral properties generated from an auto-regressive process. We start by defining a function which will be used throughout this example: """ def dB(x, out=None): if out is None: return 10 * np.log10(x) else: np.log10(x, out) np.multiply(out, 10, out) """ And the conversion factor from ln to dB: """ ln2db = dB(np.e) """ Next, we generate a sequence with known spectral properties: """ N = 512 ar_seq, nz, alpha = utils.ar_generator(N=N, drop_transients=10) ar_seq -= ar_seq.mean() """ This is the true PSD for this sequence: """ fgrid, hz = tsa.freq_response(1.0, a=np.r_[1, -alpha], n_freqs=N) psd = (hz * hz.conj()).real """ This is a one-sided spectrum, so we double the power: """ psd *= 2 dB(psd, psd) """ We begin by using the naive periodogram function (:func:`tsa.periodogram` in order to calculate the PSD and compare that to the true PSD calculated above. """ freqs, d_psd = tsa.periodogram(ar_seq) dB(d_psd, d_psd) fig03 = plot_spectral_estimate(freqs, psd, (d_psd,), elabels=("Periodogram",)) """ .. image:: fig/multi_taper_spectral_estimation_03.png Next, we use Welch's periodogram, by applying :func:`tsa.get_spectra`. Note that we explicitly provide the function with a 'method' dict, which specifies the method used in order to calculate the PSD, but the default method is 'welch'. """ welch_freqs, welch_psd = tsa.get_spectra(ar_seq, method=dict(this_method='welch', NFFT=N)) welch_freqs *= (np.pi / welch_freqs.max()) welch_psd = welch_psd.squeeze() dB(welch_psd, welch_psd) fig04 = plot_spectral_estimate(freqs, psd, (welch_psd,), elabels=("Welch",)) """ .. image:: fig/multi_taper_spectral_estimation_04.png Next, we use the multitaper estimation method. We estimate the spectrum: """ f, psd_mt, nu = tsa.multi_taper_psd( ar_seq, adaptive=False, jackknife=False ) dB(psd_mt, psd_mt) """ And get the number of tapers from here: """ Kmax = nu[0] / 2 """ We calculate a Chi-squared model 95% confidence interval 2*Kmax degrees of freedom (see [Percival1993]_ eq 258) """ p975 = dist.chi2.ppf(.975, 2 * Kmax) p025 = dist.chi2.ppf(.025, 2 * Kmax) l1 = ln2db * np.log(2 * Kmax / p975) l2 = ln2db * np.log(2 * Kmax / p025) hyp_limits = (psd_mt + l1, psd_mt + l2) fig05 = plot_spectral_estimate(freqs, psd, (psd_mt,), hyp_limits, elabels=(r"MT with $\chi^{2}$ 95% interval",)) """ .. image:: fig/multi_taper_spectral_estimation_05.png An iterative method ([Thomson2007]_) can be used in order to adaptively set the weighting of the different tapers, according to the actual spectral concentration in the given signal (and not only the theoretical spectral concentration calculated per default). """ f, adaptive_psd_mt, nu = tsa.multi_taper_psd( ar_seq, adaptive=True, jackknife=False ) dB(adaptive_psd_mt, adaptive_psd_mt) p975 = dist.chi2.ppf(.975, nu) p025 = dist.chi2.ppf(.025, nu) l1 = ln2db * np.log(nu / p975) l2 = ln2db * np.log(nu / p025) hyp_limits = (adaptive_psd_mt + l1, adaptive_psd_mt + l2) fig06 = plot_spectral_estimate(freqs, psd, (adaptive_psd_mt,), hyp_limits, elabels=('MT with adaptive weighting and 95% interval',)) """ .. image:: fig/multi_taper_spectral_estimation_06.png As metioned above, in addition to estimating the spectrum itself, an estimate of the confidence interval of the spectrum can be generated using a jack-knifing procedure [Thomson2007]_. Let us define the following: | **simple sample estimate** | :math:`\hat{\theta} = \dfrac{1}{n}\sum_i Y_i` This is the parameter estimate averaged from all the samples in the distribution (all the tapered spectra). | **leave-one-out measurement** | :math:`\hat{\theta}_{-i} = \dfrac{1}{n-1}\sum_{k \neq i}Y_k` This defines a group of estimates, where each sample is based on leaving one measurement (one tapered spectrum) out. | **pseudovalues** | :math:`\hat{\theta}_i = n\hat{\theta} - (n-1)\hat{\theta}_{-i}` The jackknifed estimator is computed as: :math:`\tilde{\theta} = \dfrac{1}{n}\sum_i \hat{\theta}_i = n\hat{\theta} - \dfrac{n-1}{n}\sum_i \hat{\theta}_{-i}` This estimator is known [Thomson2007]_ to be distributed about the true parameter \theta approximately as a Student's t distribution, with standard error defined as: :math:`s^{2} = \dfrac{n-1}{n}\sum_i \left(\hat{\theta}_i - \tilde{\theta}\right)^{2}` And degrees of freedom which depend on the number of tapers used (Kmax-1): """ _, _, jk_var = tsa.multi_taper_psd(ar_seq, adaptive=False, jackknife=True) jk_p = (dist.t.ppf(.975, Kmax - 1) * np.sqrt(jk_var)) * ln2db jk_limits = (psd_mt - jk_p, psd_mt + jk_p) fig07 = plot_spectral_estimate(freqs, psd, (psd_mt,), jk_limits, elabels=('MT with JK 95% interval',)) """ .. image:: fig/multi_taper_spectral_estimation_07.png In addition, if the 'adaptive' flag is set to True, an iterative adaptive method is used in order to correct bias in the spectrum. Finally, we combine the adaptive estimation of the weights with the jack-knifing procedure. """ _, _, adaptive_jk_var = tsa.multi_taper_psd( ar_seq, adaptive=True, jackknife=True ) # find 95% confidence limits from inverse of t-dist CDF jk_p = (dist.t.ppf(.975, Kmax - 1) * np.sqrt(adaptive_jk_var)) * ln2db adaptive_jk_limits = (adaptive_psd_mt - jk_p, adaptive_psd_mt + jk_p) fig08 = plot_spectral_estimate(freqs, psd, (adaptive_psd_mt,), adaptive_jk_limits, elabels=('adaptive-MT with JK 95% interval',)) """ .. image:: fig/multi_taper_spectral_estimation_08.png We call plt.show() in order to show all the figures: """ plt.show() """ References .. [NR2007] W.H. Press, S.A. Teukolsky, W.T Vetterling and B.P. Flannery (2007) Numerical Recipes: The Art of Scientific Computing. Cambridge: Cambridge University Press. 3rd Ed. .. [Thomson2007] D.J. Thomson, Jackknifing Multitaper Spectrum Estimates, IEEE Signal Processing Magazine, 2007, pp. 20-30. .. [Welch1967] P.D. Welch (1967), The use of the fast fourier transform for the estimation of power spectra: a method based on time averaging over short modified periodograms. IEEE Transcations on Audio and Electroacoustics. .. [Slepian1978] Slepian, D. Prolate spheroidal wave functions, Fourier analysis, and uncertainty V: The discrete case. Bell System Technical Journal, Volume 57 (1978), 1371430 .. [Percival1993] Percival D.B. and Walden A.T. (1993) Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques. Cambridge University Press """ nitime-rel-0.8.1/doc/examples/note_about_examples.txt000066400000000000000000000014201350450615100227430ustar00rootroot00000000000000**A note about the examples** The examples here are some uses of the analysis and visualization functionality of nitime, with example data from actual neuroscience experiments, or with synthetic data, which is generated as part of the example. All the examples presented in the documentation are generated from *fully functioning* python scripts, which are available as part of the source distribution in the doc/examples folder. If you want to replicate a particular analysis or visualization, simply copy the relevant ".py" script from the source distribution, or download the script using the link at the bottom of each page. Thanks to the developers of PyMVPA_ for designing the software which enables us to provide these documented examples! .. include:: ../links_names.txt nitime-rel-0.8.1/doc/examples/resting_state_fmri.py000066400000000000000000000307051350450615100224170ustar00rootroot00000000000000""" .. _resting-state: =============================== Coherency analysis of fMRI data =============================== The fMRI data-set analyzed in the following examples was contributed by Beth Mormino. The data is taken from a single subject in a "resting-state" scan, in which subjects are fixating on a cross and maintaining alert wakefulness, but not performing any other behavioral task. The data was pre-processed and time-series of BOLD responses were extracted from different regions of interest (ROIs) in the brain. The data is organized in csv file, where each column corresponds to an ROI and each row corresponds to a sampling point. In the following, we will demonstrate some simple time-series analysis and visualization techniques which can be applied to this kind of data. We start by importing the necessary modules/functions, defining the sampling_interval of the data (TR, or repetition time) and the frequency band of interest: """ import os #Import from other libraries: import numpy as np import matplotlib.pyplot as plt import nitime #Import the time-series objects: from nitime.timeseries import TimeSeries #Import the analysis objects: from nitime.analysis import CorrelationAnalyzer, CoherenceAnalyzer #Import utility functions: from nitime.utils import percent_change from nitime.viz import drawmatrix_channels, drawgraph_channels, plot_xcorr #This information (the sampling interval) has to be known in advance: TR = 1.89 f_lb = 0.02 f_ub = 0.15 """ We use Numpy to read the data in from file to a recarray: """ data_path = os.path.join(nitime.__path__[0], 'data') data_rec = np.genfromtxt(os.path.join(data_path, 'fmri_timeseries.csv'), names=True, delimiter=',') """ This data structure contains in its dtype a field 'names', which contains the first row in each column. In this case, that is the labels of the ROIs from which the data in each column was extracted. The data from the recarray is extracted into a 'standard' array and, for each ROI, it is normalized to percent signal change, using the utils.percent_change function. """ #Extract information: roi_names = np.array(data_rec.dtype.names) n_samples = data_rec.shape[0] #Make an empty container for the data data = np.zeros((len(roi_names), n_samples)) for n_idx, roi in enumerate(roi_names): data[n_idx] = data_rec[roi] #Normalize the data: data = percent_change(data) """ We initialize a TimeSeries object from the normalized data: """ T = TimeSeries(data, sampling_interval=TR) T.metadata['roi'] = roi_names """ First, we examine the correlations between the time-series extracted from different parts of the brain. The following script extracts the data (using the drawmatrix_channels function, displaying the correlation matrix with the ROIs labeled. """ # Initialize the correlation analyzer C = CorrelationAnalyzer(T) # Display the correlation matrix fig01 = drawmatrix_channels(C.corrcoef, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/resting_state_fmri_01.png Notice that setting the color_anchor input to this function to 0 makes sure that the center of the color map (here a blue => white => red) is at 0. In this case, positive values will be displayed as red and negative values in blue. We notice that the left caudate nucleus (labeled 'lcau') has an interesting pattern of correlations. It has a high correlation with both the left putamen ('lput', which is located nearby) and also with the right caudate nucleus ('lcau'), which is the homologous region in the other hemisphere. Are these two correlation values related to each other? The right caudate and left putamen seem to have a moderately low correlation value. One way to examine this question is by looking at the temporal structure of the cross-correlation functions. In order to do that, from the CorrelationAnalyzer object, we extract the normalized cross-correlation function. This results in another TimeSeries object, which contains the full time-series of the cross-correlation between any combination of time-series from the different channels in the time-series object. We can pass the resulting object, together with a list of indices to the viz.plot_xcorr function, which visualizes the chosen combinations of series: """ xc = C.xcorr_norm idx_lcau = np.where(roi_names == 'LCau')[0] idx_rcau = np.where(roi_names == 'RCau')[0] idx_lput = np.where(roi_names == 'LPut')[0] idx_rput = np.where(roi_names == 'RPut')[0] fig02 = plot_xcorr(xc, ((idx_lcau, idx_rcau), (idx_lcau, idx_lput)), line_labels=['RCau', 'LPut']) """ .. image:: fig/resting_state_fmri_02.png Note that the correlation is normalized, so that the the value of the cross-correlation functions at the zero-lag point (time = 0 sec) is equal to the Pearson correlation between the two time-series. We observe that there are correlations larger than the zero-lag correlation occurring at other time-points preceding and following the zero-lag. This could arise because of a more complex interplay of activity between two areas, which is not captured by the correlation and can also arise because of differences in the characteristics of the HRF in the two ROIs. One method of analysis which can mitigate these issues is analysis of coherency between time-series [Sun2005]_. This analysis computes an equivalent of the correlation in the frequency domain: .. math:: R_{xy} (\lambda) = \frac{f_{xy}(\lambda)} {\sqrt{f_{xx} (\lambda) \cdot f_{yy}(\lambda)}} Because this is a complex number, this computation results in two quantities. First, the magnitude of this number, also referred to as "coherence": .. math:: Coh_{xy}(\lambda) = |{R_{xy}(\lambda)}|^2 = \frac{|{f_{xy}(\lambda)}|^2}{f_{xx}(\lambda) \cdot f_{yy}(\lambda)} This is a measure of the pairwise coupling between the two time-series. It can vary between 0 and 1, with 0 being complete independence and 1 being complete coupling. A time-series would have a coherence of 1 with itself, but not only: since this measure is independent of the relative phase of the two time-series, the coherence between a time-series and any phase-shifted version of itself will also be equal to 1. However, the relative phase is another quantity which can be derived from this computation: .. math:: \phi(\lambda) = arg [R_{xy} (\lambda)] = arg [f_{xy} (\lambda)] This value can be used in order to infer which area is leading and which area is lagging (according to the sign of the relative phase) and, can be used to compute the temporal delay between activity in one ROI and the other. First, let's look at the pair-wise coherence between all our ROIs. This can be done by creating a CoherenceAnalyzer object. """ C = CoherenceAnalyzer(T) """ Once this object is initialized with the TimeSeries object, the mid-frequency of the frequency bands represented in the spectral decomposition of the time-series can be accessed in the 'frequencies' attribute of the object. The spectral resolution of this representation is the same one used in the computation of the coherence. Since the fMRI BOLD data contains data in frequencies which are not physiologically relevant (presumably due to machine noise and fluctuations in physiological measures unrelated to neural activity), we focus our analysis on a band of frequencies between 0.02 and 0.15 Hz. This is easily achieved by determining the values of the indices in :attr:`C.frequencies` and using those indices in accessing the data in :attr:`C.coherence`. The coherence is then averaged across all these frequency bands. """ freq_idx = np.where((C.frequencies > f_lb) * (C.frequencies < f_ub))[0] """ The C.coherence attribute is an ndarray of dimensions $n_{ROI}$ by $n_{ROI}$ by $n_{frequencies}$. We extract the coherence in that frequency band, average across the frequency bands of interest and pass that to the visualization function: """ # Averaging on the last dimension: coh = np.mean(C.coherence[:, :, freq_idx], -1) fig03 = drawmatrix_channels(coh, roi_names, size=[10., 10.], color_anchor=0) """ .. image:: fig/resting_state_fmri_03.png We can also focus in on the ROIs we were interested in. This requires a little bit more manipulation of the indices into the coherence matrix: """ idx = np.hstack([idx_lcau, idx_rcau, idx_lput, idx_rput]) idx1 = np.vstack([[idx[i]] * 4 for i in range(4)]).ravel() idx2 = np.hstack(4 * [idx]) coh = C.coherence[idx1, idx2].reshape(4, 4, C.frequencies.shape[0]) """ Extract the coherence and average across the same frequency bands as before: """ coh = np.mean(coh[:, :, freq_idx], -1) # Averaging on the last dimension """ Finally, in this case, we visualize the adjacency matrix, by creating a network graph of these ROIs (this is done by using the function drawgraph_channels which relies on `networkx `_): """ fig04 = drawgraph_channels(coh, roi_names[idx]) """ .. image:: fig/resting_state_fmri_04.png This shows us that there is a stronger connectivity between the left putamen and the left caudate than between the homologous regions in the other hemisphere. In particular, in contrast to the relatively high correlation between the right caudate and the left caudate, there is a rather low coherence between the time-series in these two regions, in this frequency range. Note that the connectivity described by coherency (and other measures of functional connectivity) could arise because of neural connectivity between the two regions, but also due to a common blood supply, or common fluctuations in other physiological measures which affect the BOLD signal measured in both regions. In order to be able to differentiate these two options, we would have to conduct a comparison between two different behavioral states that affect the neural activity in the two regions, without affecting these common physiological factors, such as common blood supply (for an in-depth discussion of these issues, see [Silver2010]_). In this case, we will simply assume that the connectivity matrix presented represents the actual neural connectivity between these two brain regions. We notice that there is indeed a stronger coherence between left putamen and the left caudate than between the left caudate and the right caudate. Next, we might ask whether the moderate coherence between the left putamen and the right caudate can be accounted for by the coherence these two time-series share with the time-series derived from the left caudate. This kind of question can be answered using an analysis of partial coherency. For the time series $x$ and $y$, the partial coherence, given a third time-series $r$, is defined as: .. math:: Coh_{xy|r} = \frac{|{R_{xy}(\lambda) - R_{xr}(\lambda) R_{ry}(\lambda)}|^2}{(1-|{R_{xr}}|^2)(1-|{R_{ry}}|^2)} In this case, we extract the partial coherence between the three regions, excluding common effects of the left caudate. In order to do that, we generate the partial-coherence attribute of the :class:`CoherenceAnalyzer` object, while indexing on the additional dimension which this object had (the coherence between time-series $x$ and time-series $y$, *given* time series $r$): """ idx3 = np.hstack(16 * [idx_lcau]) coh = C.coherence_partial[idx1, idx2, idx3].reshape(4, 4, C.frequencies.shape[0]) coh = np.mean(coh[:, :, freq_idx], -1) """ Again, we visualize the result, using both the :func:`viz.drawgraph_channels` and the :func:`drawmatrix_channels` functions: """ fig05 = drawgraph_channels(coh, roi_names[idx]) fig06 = drawmatrix_channels(coh, roi_names[idx], color_anchor=0) """ .. image:: fig/resting_state_fmri_05.png .. image:: fig/resting_state_fmri_06.png As can be seen, the resulting partial coherence between left putamen and right caudate, given the activity in the left caudate is smaller than the coherence between these two areas, suggesting that part of this coherence can be explained by their common connection to the left caudate. XXX Add description of calculation of temporal delay here. We call plt.show() in order to display the figures: """ plt.show() """ .. [Sun2005] F.T. Sun and L.M. Miller and M. D'Esposito(2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. .. [Silver2010] M.A Silver, AN Landau, TZ Lauritzen, W Prinzmetal, LC Robertson(2010) Isolating human brain functional connectivity associated with a specific cognitive process, in Human Vision and Electronic Imaging XV, edited by B.E. Rogowitz and T.N. Pappas, Proceedings of SPIE, Volume 7527, pp. 75270B-1 to 75270B-9 """ nitime-rel-0.8.1/doc/examples/seed_analysis.py000066400000000000000000000150311350450615100213450ustar00rootroot00000000000000""" ========================================= Seed correlation/coherence with fMRI data ========================================= Seed-based analysis is the analysis of a bivariate measure (such as correlation or coherence) between one time-series (termed the 'seed') and many other time-series (termed the 'targets'). This is a rather typical strategy in the analysis of fMRI data where one might look for all the areas of the brain that exhibit high level of connectivity to a particular region of interest. We start by importing the needed modules. First modules from the standard lib and from 3rd parties: """ import os import numpy as np import matplotlib.pyplot as plt """ Notice that nibabel (http://nipy.org.nibabel) is required in order to run this example, so we test whether the user has that installed and throw an informative error if not: """ try: from nibabel import load except ImportError: raise ImportError('You need nibabel (http:/nipy.org/nibabel/) in order to run this example') """ The following are nitime modules: """ import nitime import nitime.analysis as nta import nitime.fmri.io as io """ We define the TR of the analysis and the frequency band of interest: """ TR = 1.35 f_lb = 0.02 f_ub = 0.15 """ An fMRI data file with some actual fMRI data is shipped as part of the distribution, the following line will find the path to this data on the specific setup: """ data_path = test_dir_path = os.path.join(nitime.__path__[0], 'data') fmri_file = os.path.join(data_path, 'fmri1.nii.gz') """ Read in the data, using nibabel: """ fmri_data = load(fmri_file) """ Notice that 'fmri_data' is not an array, but rather a NiftiImage object. Nibabel cleverly delays the actual allocation of memory and reading from file as long as possible. In this case, we only want information that is available through the header of the nifti file, namely the dimensions of the data. We extract only the spatial dimensions of the data, excluding the last dimension which is the time-dimension and generate a coords list: """ volume_shape = fmri_data.shape[:-1] coords = list(np.ndindex(volume_shape)) """ We choose some number of random voxels to serve as seed voxels: """ n_seeds = 3 # Choose n_seeds random voxels to be the seed voxels seeds = np.random.randint(0, len(coords), n_seeds) coords_seeds = np.array(coords)[seeds].T """ The entire volume is chosen to be the target: """ coords_target = np.array(coords).T """ We use nitime.fmri.io in order to generate TimeSeries objects from spatial coordinates in the data file: """ # Make the seed time series: time_series_seed = io.time_series_from_file(fmri_file, coords_seeds, TR=TR, normalize='percent', filter=dict(lb=f_lb, ub=f_ub, method='boxcar')) # Make the target time series: time_series_target = io.time_series_from_file(fmri_file, coords_target, TR=TR, normalize='percent', filter=dict(lb=f_lb, ub=f_ub, method='boxcar')) """ The SeedCoherencAnalyzer receives as input both of these TimeSeries and calculates the coherence of each of the channels in the seed TimeSeries to *all* the channels in the target TimeSeries. Here we initialize it with these and with a method dict, which specifies the parameters of the spectral analysis used for the coherence estimation: """ A = nta.SeedCoherenceAnalyzer(time_series_seed, time_series_target, method=dict(NFFT=20)) """ Similarly, the SeedCorrelationAnalyzer receives as input seed and target time-series: """ B = nta.SeedCorrelationAnalyzer(time_series_seed, time_series_target) """ For the coherence, we are only interested in the physiologically relevant frequency band: """ freq_idx = np.where((A.frequencies > f_lb) * (A.frequencies < f_ub))[0] """ The results in both analyzer objects are arrays of dimensions: (number of seeds x number of targets). For the coherence, there is an additional last dimension of: number of frequency bands, which we will average over. For the visualization, we extract the coherence and correlation values for each one of the seeds separately: """ cor = [] coh = [] for this_seed in range(n_seeds): # Extract the coherence and average across these frequency bands: coh.append(np.mean(A.coherence[this_seed][:, freq_idx], -1)) # Averaging on the # last dimension cor.append(B.corrcoef[this_seed]) # No need to do any additional # computation """ We then put the coherence/correlation values back into arrays that have the original shape of the volume from which the data was extracted: """ #For numpy fancy indexing into volume arrays: coords_indices = list(coords_target) vol_coh = [] vol_cor = [] for this_vol in range(n_seeds): vol_coh.append(np.empty(volume_shape)) vol_coh[-1][coords_indices] = coh[this_vol] vol_cor.append(np.empty(volume_shape)) vol_cor[-1][coords_indices] = cor[this_vol] """ We visualize this by choosing a random slice from the data: """ #Choose a random slice to display: random_slice = np.random.randint(0, volume_shape[-1], 1) """ We display the coherence and correlation values for each seed voxel in this slice: """ fig01 = plt.figure() fig02 = plt.figure() ax_coh = [] ax_cor = [] for this_vox in range(n_seeds): ax_coh.append(fig01.add_subplot(1, n_seeds, this_vox + 1)) ax_coh[-1].matshow(vol_coh[this_vox][:, :, random_slice].squeeze()) ax_coh[-1].set_title('Seed coords: %s' % coords_seeds[:, this_vox]) ax_cor.append(fig02.add_subplot(1, n_seeds, this_vox + 1)) ax_cor[-1].matshow(vol_cor[this_vox][:, :, random_slice].squeeze()) ax_cor[-1].set_title('Seed coords: %s' % coords_seeds[:, this_vox]) for x in zip(['Coherence', 'Correlation'], [fig01, fig02]): suptit = '%s between all the voxels in slice: ' % x[0] suptit += '%i and seed voxels' % random_slice x[1].suptitle(suptit) """ We can now compare the results in the coherence: .. image:: fig/seed_analysis_01.png And the correlation: .. image:: fig/seed_analysis_02.png We call plt.show() in order to display the figure: """ plt.show() nitime-rel-0.8.1/doc/examples/snr_example.py000066400000000000000000000107411350450615100210420ustar00rootroot00000000000000""" ============================================== Calculation of signal-to-noise and information ============================================== This method is based on ideas described in [Borst1999]_ (Figure 2) and [Hsu2004]_. The calculation can be used, for example, in order to estimate the channel capacity of a neuron responding to a repeated stimulus. The estimate of the information is based on the formula .. math:: I(S,R) = \int_{0}^{Nyquist}log_2(1+SNR(\omega))d\omega Where $SNR(\omega)$ is the ratio of the signal power and the noise power at the frequency band centered on $\omega$.This equation holde true for a Gaussian channel and is an upper bound for all other cases. The signal power is estimated as the power of the mean response to repeated presentations of the same signal and the noise power is calculated as the average of the power in the deviation from this average in each trial. We import the necessary modules: """ import numpy as np import matplotlib.pyplot as plt import nitime.utils as utils import nitime.timeseries as ts import nitime.viz as viz """ For this example, we generate an auto-regressive sequence to be the signal: """ ar_seq, nz, alpha = utils.ar_generator(N=128, drop_transients=10) ar_seq -= ar_seq.mean() """ The signal will be repeated several times, adding noise to the signal in each repetition: """ n_trials = 12 fig_snr = [] sample = [] fig_tseries = [] """ We add different levels of noise to the ar_seq variable, in order to demonstrate the effects of adding noise on signal-to-noise ratio, as well as the calculated information. """ for idx, noise in enumerate([1, 10, 50, 100]): """ Make n_trials repetitions of the signal: """ sample.append(np.ones((n_trials, ar_seq.shape[-1])) + ar_seq) n_points = sample[-1].shape[-1] """ Add noise: """ for trial in range(n_trials): sample[-1][trial] += np.random.randn(sample[-1][trial].shape[0]) * noise """ This is the estimate of the signal: """ sample_mean = np.mean(sample[-1], 0) """ We plot a comparison of the actual signal (blue) and this estimate(blue). The thinner lines n other colors, represent the individual trials: """ fig_tseries.append(plt.figure()) ax = fig_tseries[-1].add_subplot(1, 1, 1) ax.plot(sample[-1].T) ax.plot(ar_seq, 'b', linewidth=4) ax.plot(sample_mean, 'r', linewidth=4) ax.set_xlabel('Time') ax.set_ylabel('Amplitude') """ We present this at different levels of noise. With low noise, the estimate of the signal and also the response of the system at different repetitions is very similar to the original signal. """ tseries = ts.TimeSeries(sample[-1], sampling_rate=1.) fig_snr.append(viz.plot_snr(tseries)) """ .. image:: fig/snr_example_01.png A special visualization function :func:`viz.plot_snr` is used in order to display the signal power (blue) and the noise power (green), both in the left subplot. In addition, the SNR (blue) and the cumulative information (as a function of frequency bands, starting from low frequencies, in red) are displayed in the right subplot. .. image:: fig/snr_example_02.png With more added noise, the estimate of the signal deviates further from the signal. .. image:: fig/snr_example_03.png The signal power remains rather similar, but the noise power increases (across all bands). As a consequence, the signal-to-noise ratio decreases and the accumulated information decreases. .. image:: fig/snr_example_04.png This becomes even more apparent with more noise: .. image:: fig/snr_example_05.png .. image:: fig/snr_example_06.png Until, with the largest amplitued of noise, the signal power is almost completely overwhelmed with noise: .. image:: fig/snr_example_07.png .. image:: fig/snr_example_08.png Finally, we use :func:`plot_snr_diff` in order to compare information transmission (on the left) and the signal-to-noise ratio (on the right) between the two last noise levels: """ ts1 = ts.TimeSeries(sample[-1], sampling_rate=1.) ts2 = ts.TimeSeries(sample[-2], sampling_rate=1.) fig_compare = viz.plot_snr_diff(ts1, ts2) plt.show() """ .. image:: fig/snr_example_09.png References .. [Hsu2004] Hsu A, Borst A and Theunissen, FE (2004) Quantifying variability in neural responses ans its application for the validation of model predictions. Network: Comput Neural Syst 15:91-109 .. [Borst1999] Borst A and Theunissen FE (1999) Information theory and neural coding. Nat Neurosci 2:947-957 """ nitime-rel-0.8.1/doc/index.rst000066400000000000000000000014171350450615100161760ustar00rootroot00000000000000=========== NiTime Home =========== :mod:`Nitime` is a library for time-series analysis of data from neuroscience experiments. It contains a core of numerical algorithms for time-series analysis both in the time and spectral domains, a set of container objects to represent time-series, and auxiliary objects that expose a high level interface to the numerical machinery and make common analysis tasks easy to express with compact and semantically clear code. .. toctree:: :maxdepth: 1 documentation whatsnew/index examples/index Questions? Comments? Please `email`_ us. To follow along with the development, and join in the fun, head over to our `github webpage `_. .. _email: http://projects.scipy.org/mailman/listinfo/nipy-devel nitime-rel-0.8.1/doc/links_names.txt000066400000000000000000000107761350450615100174110ustar00rootroot00000000000000.. 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... .. _nipy: http://nipy.sourceforge.net/nipy .. _`NIPY developer resources`: http://nipy.sourceforge.net/devel .. _`Brain Imaging Center`: http://bic.berkeley.edu/ .. _`Nibabel`: http://nipy.org/nibabel .. _gh-download: https://github.com/nipy/nitime/releases .. _gh-archive: https://github.com/nipy/nitime/archive/master.zip .. _nitime-pypi: http://pypi.python.org/pypi/nitime .. Documentation tools .. _graphviz: http://www.graphviz.org/ .. _Sphinx: http://sphinx.pocoo.org/ .. _`Sphinx reST`: http://sphinx.pocoo.org/rest.html .. _reST: http://docutils.sourceforge.net/rst.html .. _docutils: http://docutils.sourceforge.net .. Licenses .. _GPL: http://www.gnu.org/licenses/gpl.html .. _BSD: http://www.opensource.org/licenses/bsd-license.php .. _LGPL: http://www.gnu.org/copyleft/lesser.html .. Working process .. _pynifti: http://niftilib.sourceforge.net/pynifti/ .. _nifticlibs: http://nifti.nimh.nih.gov .. _nifti: http://nifti.nimh.nih.gov .. _`nipy sourceforge`: http://nipy.sourceforge.net/ .. _sourceforge: http://nipy.sourceforge.net/ .. _`nipy launchpad`: https://launchpad.net/nipy .. _launchpad: https://launchpad.net/ .. _`nipy trunk`: https://code.launchpad.net/~nipy-developers/nipy/trunk .. _`nipy mailing list`: http://projects.scipy.org/mailman/listinfo/nipy-devel .. _`nipy bugs`: https://bugs.launchpad.net/nipy .. Code support stuff .. _pychecker: http://pychecker.sourceforge.net/ .. _pylint: http://www.logilab.org/project/pylint .. _pyflakes: http://divmod.org/trac/wiki/DivmodPyflakes .. _virtualenv: http://pypi.python.org/pypi/virtualenv .. _git: http://git.or.cz/ .. _flymake: http://flymake.sourceforge.net/ .. _rope: http://rope.sourceforge.net/ .. _pymacs: http://pymacs.progiciels-bpi.ca/pymacs.html .. _ropemacs: http://rope.sourceforge.net/ropemacs.html .. _ECB: http://ecb.sourceforge.net/ .. _emacs_python_mode: http://www.emacswiki.org/cgi-bin/wiki/PythonMode .. _doctest-mode: http://www.cis.upenn.edu/~edloper/projects/doctestmode/ .. _bazaar: http://bazaar-vcs.org/ .. _subversion: http://subversion.tigris.org/ .. _nose: http://somethingaboutorange.com/mrl/projects/nose .. _`python coverage tester`: http://nedbatchelder.com/code/modules/coverage.html .. _easy-install: http://packages.python.org/distribute/easy_install.html .. _pip: https://pip.pypa.io/en/stable/ .. _anaconda: https://anaconda.org/ .. _conda: http://conda.pydata.org/ .. Other python projects .. _numpy: http://www.scipy.org/NumPy .. _scipy: http://www.scipy.org .. _ipython: http://ipython.scipy.org .. _`ipython manual`: http://ipython.scipy.org/doc/manual/html .. _matplotlib: http://matplotlib.sourceforge.net .. _ETS: http://code.enthought.com/projects/tool-suite.php .. _`Enthought Tool Suite`: http://code.enthought.com/projects/tool-suite.php .. _python: http://www.python.org .. _mayavi: http://mayavi.sourceforge.net/ .. _sympy: http://code.google.com/p/sympy/ .. _networkx: http://networkx.lanl.gov/ .. _cython: http://cython.org .. Python imaging projects .. _PyMVPA: http://www.pymvpa.org .. _BrainVISA: http://brainvisa.info .. _anatomist: http://brainvisa.info .. Not so python imaging projects .. _matlab: http://www.mathworks.com .. _spm: http://www.fil.ion.ucl.ac.uk/spm .. _eeglab: http://sccn.ucsd.edu/eeglab .. _AFNI: http://afni.nimh.nih.gov/afni .. _FSL: http://www.fmrib.ox.ac.uk/fsl .. _FreeSurfer: http://surfer.nmr.mgh.harvard.edu .. _voxbo: http://www.voxbo.org .. General software .. _gcc: http://gcc.gnu.org .. _xcode: http://developer.apple.com/TOOLS/xcode .. _mingw: http://www.mingw.org .. _macports: http://www.macports.org/ .. Functional imaging labs .. _`functional imaging laboratory`: http://www.fil.ion.ucl.ac.uk .. _FMRIB: http://www.fmrib.ox.ac.uk .. Other organizations .. _enthought: .. _kitware: http://www.kitware.com .. General information links .. _`wikipedia FMRI`: http://en.wikipedia.org/wiki/Functional_magnetic_resonance_imaging .. _`wikipedia PET`: http://en.wikipedia.org/wiki/Positron_emission_tomography .. Mathematical methods .. _`wikipedia ICA`: http://en.wikipedia.org/wiki/Independent_component_analysis .. _`wikipedia PCA`: http://en.wikipedia.org/wiki/Principal_component_analysis nitime-rel-0.8.1/doc/news.rst000066400000000000000000000005561350450615100160460ustar00rootroot00000000000000============= Nitime news ============= February 7th, 2016: version 0.6 released June 13, 2014: version 0.5 released. June 19 2012: Version 0.4 released. August 13 2011: Version 0.3 released. November 9 2010: Version 0.2 released. August 18 2010: Nitime version 0.1 is officially out. Scipy 2009 conference paper `available <_static/Scipy2009Nitime.pdf>`_ nitime-rel-0.8.1/doc/sphinxext/000077500000000000000000000000001350450615100163645ustar00rootroot00000000000000nitime-rel-0.8.1/doc/sphinxext/README.txt000066400000000000000000000014341350450615100200640ustar00rootroot00000000000000=================== Sphinx Extensions =================== We've copied these sphinx extensions over from nipy-core. Any edits should be done upstream in nipy-core, not here in nitime! These are a few sphinx extensions we are using to build the nipy documentation. In this file we list where they each come from, since we intend to always push back upstream any modifications or improvements we make to them. It's worth noting that some of these are being carried (as copies) by more than one project. Hopefully once they mature a little more, they will be incorproated back into sphinx itself, so that all projects can use a common base. * From numpy: * docscrape.py * docscrape_sphinx.py * numpydoc.py * From matplotlib: * ipython_console_highlighting.py * only_directives.py nitime-rel-0.8.1/doc/sphinxext/docscrape.py000066400000000000000000000350151350450615100207050ustar00rootroot00000000000000"""Extract reference documentation from the NumPy source tree. """ import inspect import textwrap import re import pydoc try: from StringIO import StringIO except ImportError: from io import StringIO from warnings import warn class Reader(object): """A line-based string reader. """ def __init__(self, data): """ Parameters ---------- data : str String with lines separated by '\n'. """ if isinstance(data,list): self._str = data else: self._str = data.split('\n') # store string as list of lines self.reset() def __getitem__(self, n): return self._str[n] def reset(self): self._l = 0 # current line nr def read(self): if not self.eof(): out = self[self._l] self._l += 1 return out else: return '' def seek_next_non_empty_line(self): for l in self[self._l:]: if l.strip(): break else: self._l += 1 def eof(self): return self._l >= len(self._str) def read_to_condition(self, condition_func): start = self._l for line in self[start:]: if condition_func(line): return self[start:self._l] self._l += 1 if self.eof(): return self[start:self._l+1] return [] def read_to_next_empty_line(self): self.seek_next_non_empty_line() def is_empty(line): return not line.strip() return self.read_to_condition(is_empty) def read_to_next_unindented_line(self): def is_unindented(line): return (line.strip() and (len(line.lstrip()) == len(line))) return self.read_to_condition(is_unindented) def peek(self,n=0): if self._l + n < len(self._str): return self[self._l + n] else: return '' def is_empty(self): return not ''.join(self._str).strip() class NumpyDocString(object): def __init__(self,docstring): docstring = textwrap.dedent(docstring).split('\n') self._doc = Reader(docstring) self._parsed_data = { 'Signature': '', 'Summary': [''], 'Extended Summary': [], 'Parameters': [], 'Returns': [], 'Raises': [], 'Warns': [], 'Other Parameters': [], 'Attributes': [], 'Methods': [], 'See Also': [], 'Notes': [], 'Warnings': [], 'References': '', 'Examples': '', 'index': {} } self._parse() def __getitem__(self,key): return self._parsed_data[key] def __setitem__(self, key,val): if not key in self._parsed_data: warn("Unknown section %s" % key) else: self._parsed_data[key] = val def _is_at_section(self): self._doc.seek_next_non_empty_line() if self._doc.eof(): return False l1 = self._doc.peek().strip() # e.g. Parameters if l1.startswith('.. index::'): return True l2 = self._doc.peek(1).strip() # ---------- or ========== return l2.startswith('-'*len(l1)) or l2.startswith('='*len(l1)) def _strip(self,doc): i = 0 j = 0 for i,line in enumerate(doc): if line.strip(): break for j,line in enumerate(doc[::-1]): if line.strip(): break return doc[i:len(doc)-j] def _read_to_next_section(self): section = self._doc.read_to_next_empty_line() while not self._is_at_section() and not self._doc.eof(): if not self._doc.peek(-1).strip(): # previous line was empty section += [''] section += self._doc.read_to_next_empty_line() return section def _read_sections(self): while not self._doc.eof(): data = self._read_to_next_section() name = data[0].strip() if name.startswith('..'): # index section yield name, data[1:] elif len(data) < 2: yield StopIteration else: yield name, self._strip(data[2:]) def _parse_param_list(self,content): r = Reader(content) params = [] while not r.eof(): header = r.read().strip() if ' : ' in header: arg_name, arg_type = header.split(' : ')[:2] else: arg_name, arg_type = header, '' desc = r.read_to_next_unindented_line() desc = dedent_lines(desc) params.append((arg_name,arg_type,desc)) return params _name_rgx = re.compile(r"^\s*(:(?P\w+):`(?P[a-zA-Z0-9_.-]+)`|" r" (?P[a-zA-Z0-9_.-]+))\s*", re.X) def _parse_see_also(self, content): """ func_name : Descriptive text continued text another_func_name : Descriptive text func_name1, func_name2, :meth:`func_name`, func_name3 """ items = [] def parse_item_name(text): """Match ':role:`name`' or 'name'""" m = self._name_rgx.match(text) if m: g = m.groups() if g[1] is None: return g[3], None else: return g[2], g[1] raise ValueError("%s is not a item name" % text) def push_item(name, rest): if not name: return name, role = parse_item_name(name) items.append((name, list(rest), role)) del rest[:] current_func = None rest = [] for line in content: if not line.strip(): continue m = self._name_rgx.match(line) if m and line[m.end():].strip().startswith(':'): push_item(current_func, rest) current_func, line = line[:m.end()], line[m.end():] rest = [line.split(':', 1)[1].strip()] if not rest[0]: rest = [] elif not line.startswith(' '): push_item(current_func, rest) current_func = None if ',' in line: for func in line.split(','): push_item(func, []) elif line.strip(): current_func = line elif current_func is not None: rest.append(line.strip()) push_item(current_func, rest) return items def _parse_index(self, section, content): """ .. index: default :refguide: something, else, and more """ def strip_each_in(lst): return [s.strip() for s in lst] out = {} section = section.split('::') if len(section) > 1: out['default'] = strip_each_in(section[1].split(','))[0] for line in content: line = line.split(':') if len(line) > 2: out[line[1]] = strip_each_in(line[2].split(',')) return out def _parse_summary(self): """Grab signature (if given) and summary""" if self._is_at_section(): return summary = self._doc.read_to_next_empty_line() summary_str = " ".join([s.strip() for s in summary]).strip() if re.compile('^([\w., ]+=)?\s*[\w\.]+\(.*\)$').match(summary_str): self['Signature'] = summary_str if not self._is_at_section(): self['Summary'] = self._doc.read_to_next_empty_line() else: self['Summary'] = summary if not self._is_at_section(): self['Extended Summary'] = self._read_to_next_section() def _parse(self): self._doc.reset() self._parse_summary() for (section,content) in self._read_sections(): if not section.startswith('..'): section = ' '.join([s.capitalize() for s in section.split(' ')]) if section in ('Parameters', 'Attributes', 'Methods', 'Returns', 'Raises', 'Warns'): self[section] = self._parse_param_list(content) elif section.startswith('.. index::'): self['index'] = self._parse_index(section, content) elif section == 'See Also': self['See Also'] = self._parse_see_also(content) else: self[section] = content # string conversion routines def _str_header(self, name, symbol='-'): return [name, len(name)*symbol] def _str_indent(self, doc, indent=4): out = [] for line in doc: out += [' '*indent + line] return out def _str_signature(self): if self['Signature']: return [self['Signature'].replace('*','\*')] + [''] else: return [''] def _str_summary(self): if self['Summary']: return self['Summary'] + [''] else: return [] def _str_extended_summary(self): if self['Extended Summary']: return self['Extended Summary'] + [''] else: return [] def _str_param_list(self, name): out = [] if self[name]: out += self._str_header(name) for param,param_type,desc in self[name]: out += ['%s : %s' % (param, param_type)] out += self._str_indent(desc) out += [''] return out def _str_section(self, name): out = [] if self[name]: out += self._str_header(name) out += self[name] out += [''] return out def _str_see_also(self, func_role): if not self['See Also']: return [] out = [] out += self._str_header("See Also") last_had_desc = True for func, desc, role in self['See Also']: if role: link = ':%s:`%s`' % (role, func) elif func_role: link = ':%s:`%s`' % (func_role, func) else: link = "`%s`_" % func if desc or last_had_desc: out += [''] out += [link] else: out[-1] += ", %s" % link if desc: out += self._str_indent([' '.join(desc)]) last_had_desc = True else: last_had_desc = False out += [''] return out def _str_index(self): idx = self['index'] out = [] out += ['.. index:: %s' % idx.get('default','')] for section, references in idx.iteritems(): if section == 'default': continue out += [' :%s: %s' % (section, ', '.join(references))] return out def __str__(self, func_role=''): out = [] out += self._str_signature() out += self._str_summary() out += self._str_extended_summary() for param_list in ('Parameters','Returns','Raises'): out += self._str_param_list(param_list) out += self._str_section('Warnings') out += self._str_see_also(func_role) for s in ('Notes','References','Examples'): out += self._str_section(s) out += self._str_index() return '\n'.join(out) def indent(str,indent=4): indent_str = ' '*indent if str is None: return indent_str lines = str.split('\n') return '\n'.join(indent_str + l for l in lines) def dedent_lines(lines): """Deindent a list of lines maximally""" return textwrap.dedent("\n".join(lines)).split("\n") def header(text, style='-'): return text + '\n' + style*len(text) + '\n' class FunctionDoc(NumpyDocString): def __init__(self, func, role='func', doc=None): self._f = func self._role = role # e.g. "func" or "meth" if doc is None: doc = inspect.getdoc(func) or '' try: NumpyDocString.__init__(self, doc) except ValueError as e: print('*'*78) print("ERROR: '%s' while parsing `%s`" % (e, self._f)) print('*'*78) #print("Docstring follows:") #print(doclines) #print('='*78) if not self['Signature']: func, func_name = self.get_func() try: # try to read signature argspec = inspect.getargspec(func) argspec = inspect.formatargspec(*argspec) argspec = argspec.replace('*','\*') signature = '%s%s' % (func_name, argspec) except TypeError as e: signature = '%s()' % func_name self['Signature'] = signature def get_func(self): func_name = getattr(self._f, '__name__', self.__class__.__name__) if inspect.isclass(self._f): func = getattr(self._f, '__call__', self._f.__init__) else: func = self._f return func, func_name def __str__(self): out = '' func, func_name = self.get_func() signature = self['Signature'].replace('*', '\*') roles = {'func': 'function', 'meth': 'method'} if self._role: if not self._role in roles: print("Warning: invalid role %s" % self._role) out += '.. %s:: %s\n \n\n' % (roles.get(self._role,''), func_name) out += super(FunctionDoc, self).__str__(func_role=self._role) return out class ClassDoc(NumpyDocString): def __init__(self,cls,modulename='',func_doc=FunctionDoc,doc=None): if not inspect.isclass(cls): raise ValueError("Initialise using a class. Got %r" % cls) self._cls = cls if modulename and not modulename.endswith('.'): modulename += '.' self._mod = modulename self._name = cls.__name__ self._func_doc = func_doc if doc is None: doc = pydoc.getdoc(cls) NumpyDocString.__init__(self, doc) @property def methods(self): return [name for name,func in inspect.getmembers(self._cls) if not name.startswith('_') and callable(func)] def __str__(self): out = '' out += super(ClassDoc, self).__str__() out += "\n\n" #for m in self.methods: # print("Parsing `%s`" % m) # out += str(self._func_doc(getattr(self._cls,m), 'meth')) + '\n\n' # out += '.. index::\n single: %s; %s\n\n' % (self._name, m) return out nitime-rel-0.8.1/doc/sphinxext/docscrape_sphinx.py000066400000000000000000000102071350450615100222720ustar00rootroot00000000000000import re, inspect, textwrap, pydoc from docscrape import NumpyDocString, FunctionDoc, ClassDoc class SphinxDocString(NumpyDocString): # string conversion routines def _str_header(self, name, symbol='`'): return ['.. rubric:: ' + name, ''] def _str_field_list(self, name): return [':' + name + ':'] def _str_indent(self, doc, indent=4): out = [] for line in doc: out += [' '*indent + line] return out def _str_signature(self): return [''] if self['Signature']: return ['``%s``' % self['Signature']] + [''] else: return [''] def _str_summary(self): return self['Summary'] + [''] def _str_extended_summary(self): return self['Extended Summary'] + [''] def _str_param_list(self, name): out = [] if self[name]: out += self._str_field_list(name) out += [''] for param,param_type,desc in self[name]: out += self._str_indent(['**%s** : %s' % (param.strip(), param_type)]) out += [''] out += self._str_indent(desc,8) out += [''] return out def _str_section(self, name): out = [] if self[name]: out += self._str_header(name) out += [''] content = textwrap.dedent("\n".join(self[name])).split("\n") out += content out += [''] return out def _str_see_also(self, func_role): out = [] if self['See Also']: see_also = super(SphinxDocString, self)._str_see_also(func_role) out = ['.. seealso::', ''] out += self._str_indent(see_also[2:]) return out def _str_warnings(self): out = [] if self['Warnings']: out = ['.. warning::', ''] out += self._str_indent(self['Warnings']) return out def _str_index(self): idx = self['index'] out = [] if len(idx) == 0: return out out += ['.. index:: %s' % idx.get('default','')] for section, references in idx.iteritems(): if section == 'default': continue elif section == 'refguide': out += [' single: %s' % (', '.join(references))] else: out += [' %s: %s' % (section, ','.join(references))] return out def _str_references(self): out = [] if self['References']: out += self._str_header('References') if isinstance(self['References'], str): self['References'] = [self['References']] out.extend(self['References']) out += [''] return out def __str__(self, indent=0, func_role="obj"): out = [] out += self._str_signature() out += self._str_index() + [''] out += self._str_summary() out += self._str_extended_summary() for param_list in ('Parameters', 'Attributes', 'Methods', 'Returns','Raises'): out += self._str_param_list(param_list) out += self._str_warnings() out += self._str_see_also(func_role) out += self._str_section('Notes') out += self._str_references() out += self._str_section('Examples') out = self._str_indent(out,indent) return '\n'.join(out) class SphinxFunctionDoc(SphinxDocString, FunctionDoc): pass class SphinxClassDoc(SphinxDocString, ClassDoc): pass def get_doc_object(obj, what=None, doc=None): if what is None: if inspect.isclass(obj): what = 'class' elif inspect.ismodule(obj): what = 'module' elif callable(obj): what = 'function' else: what = 'object' if what == 'class': return SphinxClassDoc(obj, '', func_doc=SphinxFunctionDoc, doc=doc) elif what in ('function', 'method'): return SphinxFunctionDoc(obj, '', doc=doc) else: if doc is None: doc = pydoc.getdoc(obj) return SphinxDocString(doc) nitime-rel-0.8.1/doc/sphinxext/github.py000066400000000000000000000125221350450615100202220ustar00rootroot00000000000000"""Define text roles for GitHub * ghissue - Issue * ghpull - Pull Request * ghuser - User Adapted from bitbucket example here: https://bitbucket.org/birkenfeld/sphinx-contrib/src/tip/bitbucket/sphinxcontrib/bitbucket.py Authors ------- * Doug Hellmann * Min RK """ # # Original Copyright (c) 2010 Doug Hellmann. All rights reserved. # from docutils import nodes, utils from docutils.parsers.rst.roles import set_classes def make_link_node(rawtext, app, type, slug, options): """Create a link to a github resource. :param rawtext: Text being replaced with link node. :param app: Sphinx application context :param type: Link type (issues, changeset, etc.) :param slug: ID of the thing to link to :param options: Options dictionary passed to role func. """ try: base = app.config.github_project_url if not base: raise AttributeError if not base.endswith('/'): base += '/' except AttributeError as err: raise ValueError('github_project_url configuration value is not set (%s)' % str(err)) ref = base + type + '/' + slug + '/' set_classes(options) prefix = "#" if type == 'pull': prefix = "PR " + prefix node = nodes.reference(rawtext, prefix + utils.unescape(slug), refuri=ref, **options) return node def ghissue_role(name, rawtext, text, lineno, inliner, options={}, content=[]): """Link to a GitHub issue. Returns 2 part tuple containing list of nodes to insert into the document and a list of system messages. Both are allowed to be empty. :param name: The role name used in the document. :param rawtext: The entire markup snippet, with role. :param text: The text marked with the role. :param lineno: The line number where rawtext appears in the input. :param inliner: The inliner instance that called us. :param options: Directive options for customization. :param content: The directive content for customization. """ try: issue_num = int(text) if issue_num <= 0: raise ValueError except ValueError: msg = inliner.reporter.error( 'GitHub issue number must be a number greater than or equal to 1; ' '"%s" is invalid.' % text, line=lineno) prb = inliner.problematic(rawtext, rawtext, msg) return [prb], [msg] app = inliner.document.settings.env.app #app.info('issue %r' % text) if 'pull' in name.lower(): category = 'pull' elif 'issue' in name.lower(): category = 'issues' else: msg = inliner.reporter.error( 'GitHub roles include "ghpull" and "ghissue", ' '"%s" is invalid.' % name, line=lineno) prb = inliner.problematic(rawtext, rawtext, msg) return [prb], [msg] node = make_link_node(rawtext, app, category, str(issue_num), options) return [node], [] def ghuser_role(name, rawtext, text, lineno, inliner, options={}, content=[]): """Link to a GitHub user. Returns 2 part tuple containing list of nodes to insert into the document and a list of system messages. Both are allowed to be empty. :param name: The role name used in the document. :param rawtext: The entire markup snippet, with role. :param text: The text marked with the role. :param lineno: The line number where rawtext appears in the input. :param inliner: The inliner instance that called us. :param options: Directive options for customization. :param content: The directive content for customization. """ app = inliner.document.settings.env.app #app.info('user link %r' % text) ref = 'https://www.github.com/' + text node = nodes.reference(rawtext, text, refuri=ref, **options) return [node], [] def ghcommit_role(name, rawtext, text, lineno, inliner, options={}, content=[]): """Link to a GitHub commit. Returns 2 part tuple containing list of nodes to insert into the document and a list of system messages. Both are allowed to be empty. :param name: The role name used in the document. :param rawtext: The entire markup snippet, with role. :param text: The text marked with the role. :param lineno: The line number where rawtext appears in the input. :param inliner: The inliner instance that called us. :param options: Directive options for customization. :param content: The directive content for customization. """ app = inliner.document.settings.env.app #app.info('user link %r' % text) try: base = app.config.github_project_url if not base: raise AttributeError if not base.endswith('/'): base += '/' except AttributeError as err: raise ValueError('github_project_url configuration value is not set (%s)' % str(err)) ref = base + text node = nodes.reference(rawtext, text[:6], refuri=ref, **options) return [node], [] def setup(app): """Install the plugin. :param app: Sphinx application context. """ app.info('Initializing GitHub plugin') app.add_role('ghissue', ghissue_role) app.add_role('ghpull', ghissue_role) app.add_role('ghuser', ghuser_role) app.add_role('ghcommit', ghcommit_role) app.add_config_value('github_project_url', None, 'env') metadata = {'parallel_read_safe': True, 'parallel_write_safe': True} return metadata nitime-rel-0.8.1/doc/sphinxext/ipython_console_highlighting.py000066400000000000000000000065551350450615100247120ustar00rootroot00000000000000"""reST directive for syntax-highlighting ipython interactive sessions. """ #----------------------------------------------------------------------------- # Needed modules # Standard library import re # Third party from pygments.lexer import Lexer, do_insertions from pygments.lexers.agile import (PythonConsoleLexer, PythonLexer, PythonTracebackLexer) from pygments.token import Comment, Generic from sphinx import highlighting #----------------------------------------------------------------------------- # Global constants line_re = re.compile('.*?\n') #----------------------------------------------------------------------------- # Code begins - classes and functions class IPythonConsoleLexer(Lexer): """ For IPython console output or doctests, such as: .. sourcecode:: ipython In [1]: a = 'foo' In [2]: a Out[2]: 'foo' In [3]: print a foo In [4]: 1 / 0 Notes: - Tracebacks are not currently supported. - It assumes the default IPython prompts, not customized ones. """ 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, Generic.Prompt, continue_prompt.group())])) curcode += line[continue_prompt.end():] elif output_prompt is not None: insertions.append((len(curcode), [(0, Generic.Output, output_prompt.group())])) curcode += line[output_prompt.end():] else: if curcode: for item in do_insertions(insertions, pylexer.get_tokens_unprocessed(curcode)): yield item curcode = '' insertions = [] yield match.start(), Generic.Output, line if curcode: for item in do_insertions(insertions, pylexer.get_tokens_unprocessed(curcode)): yield item #----------------------------------------------------------------------------- # Register the extension as a valid pygments lexer highlighting.lexers['ipython'] = IPythonConsoleLexer() nitime-rel-0.8.1/doc/sphinxext/math_dollar.py000066400000000000000000000034341350450615100212300ustar00rootroot00000000000000import re def process_dollars(app, docname, source): r""" Replace dollar signs with backticks. More precisely, do a regular expression search. Replace a plain dollar sign ($) by a backtick (`). Replace an escaped dollar sign (\$) by a dollar sign ($). Don't change a dollar sign preceded or followed by a backtick (`$ or $`), because of strings like "``$HOME``". Don't make any changes on lines starting with spaces, because those are indented and hence part of a block of code or examples. This also doesn't replaces dollar signs enclosed in curly braces, to avoid nested math environments, such as :: $f(n) = 0 \text{ if $n$ is prime}$ Thus the above line would get changed to `f(n) = 0 \text{ if $n$ is prime}` """ s = "\n".join(source) if s.find("$") == -1: return # This searches for "$blah$" inside a pair of curly braces -- # don't change these, since they're probably coming from a nested # math environment. So for each match, we replace it with a temporary # string, and later on we substitute the original back. global _data _data = {} def repl(matchobj): global _data s = matchobj.group(0) t = "___XXX_REPL_%d___" % len(_data) _data[t] = s return t s = re.sub(r"({[^{}$]*\$[^{}$]*\$[^{}]*})", repl, s) # matches $...$ dollars = re.compile(r"(? []" HTML_DIR=$1 if [ -z "$HTML_DIR" ]; then echo $USAGE exit 1 fi if [ ! -e "$HTML_DIR/index.html" ]; then echo "$HTML_DIR does not contain an index.html" exit 1 fi if [ -d "$HTML_DIR/.git" ]; then echo "$HTML_DIR already contains a .git directory" exit 1 fi PROJECT=$2 if [ -z "$PROJECT" ]; then echo $USAGE exit 1 fi ORGANIZATION=$3 if [ -z "$ORGANIZATION" ]; then ORGANIZATION=nipy fi upstream_repo="https://github.com/$ORGANIZATION/$PROJECT" cd $HTML_DIR git init git checkout -b gh-pages git add * # A nojekyll file is needed to tell github that this is *not* a jekyll site: touch .nojekyll git add .nojekyll git commit -a -m "Documentation build - no history" git remote add origin $upstream_repo git push origin gh-pages --force rm -rf .git # Yes nitime-rel-0.8.1/doc/users/000077500000000000000000000000001350450615100154735ustar00rootroot00000000000000nitime-rel-0.8.1/doc/users/index.rst000066400000000000000000000002571350450615100173400ustar00rootroot00000000000000.. _users-guide: ============ User Guide ============ :Release: |version| :Date: |today| .. toctree:: :maxdepth: 2 quickstart install overview tutorial nitime-rel-0.8.1/doc/users/install.rst000066400000000000000000000042261350450615100176770ustar00rootroot00000000000000.. _install: ====================== Download and install ====================== This page covers the necessary steps to install nitime. Below is a list of required dependencies, and some additional recommended software, which are dependencies for some particular functionality. Dependencies ------------ Must Have ~~~~~~~~~ Nitime supports Python_ 2.7 and 3.3/3.4/3.5, requiring also reasonably recent versions of NumPy_ and SciPy_, as well as Matplotlib_ (In particular, :mod:`Nitime` makes use of the :mod:`matplotlib.mlab` module for some implementation of numerical algorithms) Recommended/optional ~~~~~~~~~~~~~~~~~~~~ Sphinx_ Required for building the documentation Networkx_ Used for some visualization functions; required in order to build the documentation. Nibabel_ Used for reading in data from fMRI data files; required in order to build the documentation. Getting the latest release -------------------------- Using the standard `pip` installation mechanism, you can install nitime by issuing the following command in your terminal:: pip install nitime The source code of the latest release is also available to download at the cheeseshop_, or in our Github repo release page_ .. _page: gh-download_ .. _cheeseshop: nitime-pypi_ If you want to download the source-code as it is being developed (pre-release), follow the instructions here: :ref:`following-latest` Or, if you just want to look at the current development, without using our source version-control system, you can download it directly here_ .. _here: gh-archive_ You can also install nitime using conda_, by issuing the following commands:: conda config --add channels conda-forge conda install nitime Building from source -------------------- The installation process is similar to other Python packages so it will be familiar if you have Python experience. In addition to the previously mentioned dependencies, you will need to have cython_ installed Unpack the tarball and change into the source directory. Once in the source directory, you can build nitime using:: python setup.py install Or:: sudo python setup.py install .. include:: ../links_names.txt nitime-rel-0.8.1/doc/users/overview.rst000066400000000000000000000322011350450615100200710ustar00rootroot00000000000000.. _overview: =================== Nitime: an overview =================== Nitime can be used in order to represent, manipulate and analyze data in time-series from experimental data. The main intention of the library is to serve as a platform for analyzing data collected in neuroscientific experiments, ranging from single-cell recordings to fMRI. However, the object-oriented interface may match other kinds of time-series. In the :ref:`tutorial`, we provide examples of usage of the objects in the library and of some basic analysis. Here, we will provide a brief overview of the guiding principles underlying the structure and implementation of the library and the programming interface provided by library. We will survey the library their attributes and central functions and some possible example use-cases. ================= Design Principles ================= The main principle of the implementation of this library is a separation between representation of time-series and the analysis of time-series. Thus, the implementation is divided into three main elements: - Base classes for representation of time and data: These include objects representing time (including support for the representation and conversion between time-units) and objects that serve as containers for data: representation of the time-series to be analyzed. These base classes will be surveyed in more detail in the :ref:`base_classes` - Algorithms for analysis of time-series: A library containing implementations of algorithms for various analysis methods is provided. Importantly, this library is intentionally agnostic to the existence of the library base-classes. Thus, users can choose to use these algorithms directly, instead of relying on the base-classes provided by the library - Analyzer interfaces: These objects provide an interface between the algorithm library and the time-series objects. Each one of these objects calls an algorithm from the algorithms These objects rely on the details of the implementation of the time-series objects. The input to these classes is usually a time-series object and a set of parameters, which guide the analysis. Some of the analyzer objects implement a thin interface (or 'facade') to algorithms provided by scipy.signal. This principle is important, because it allows use of the analysis algorithms at two different levels. The algorithms are more general-purpose, but provide less support for the unique properties of time-series. The analyzer objects, on the other hand, provide a richer interface, but may be less flexible in their usage, because they assume use of the base-classes of the library. This structure also makes development of new algorithms and adoption of analysis code from other sources easier, because no specialized design properties are required in order to include an algorithm or set of algorithms in the algorithm library. However, once algorithms are adopted into the library, it requires that additional development of the analyzer object specific for this set of algorithms be implemented as well. Another important principle of the implementation is lazy initialization. Most attributes of both time-series and analysis objects are provided on a need-to-know basis. That is, initializing a time-series object, or an analyzer object does not trigger any intensive computations. Instead the computation of the attributes of analyzer objects is delayed until the moment the user calls these attributes. In addition, once a computation is triggered it is stored as an attribute of the object, which assures that accessing the results of an analysis will trigger the computation only on the first time the analysis resut is required. Thereafter, the result of the analysis is stored for further use of this result. .. _base_classes: ============== Base classes ============== The library has several sets of classes, used for the representation of time and of time-series, in addition to classes used for analysis. The first kind of classes is used in order to represent time and inherits from :class:`np.ndarray`, see :ref:`time_classes`. Another are data containers, used to represent different kinds of time-series data, see :ref:`time_series_classes` A third important kind are *analyzer* objects. These objects can be used in order to apply a particular analysis to time-series objects, see :ref:`analyzer_objects` .. _time_classes: Time ==== Experimental data is usually represented with regard to *relative* time. That is, the time relative to the beginning of the measurement. This is in contrast to many other kinds of data, which are represented with regard to *absolute* time, (one example of this kind of time is calendaric time, which includes a reference to some common point, such as 0 CE, or Jan. 1st 1970). An example of data which benefits from representation with absolute time is the representation of financial time-series, which can be compared against each other, using the common reference and for which the concept of the work-week applies. However, because most often the absolute calendar time of the occurrence of events in an experiment is of no importance, we can disregard it. Rather, the comparison of the time progression of data in different experiments conducted in different calendar times (different days, different times in the same day) is more common. The underlying representation of time in :mod:`nitime` is in arrays of dtype :class:`int64`. This allows the representation to be immune to rounding errors arising from representation of time with floating point numbers (see [Goldberg1991]_). However, it restricts the smallest time-interval that can be represented. In :mod:`nitime`, the smallest discrete time-points are of size :attr:`base_unit`, and this unit is *picoseconds*. Thus, all underlying representations of time are made in this unit. Since for most practical uses, this representation is far too small, this might have resulted, in most cases in representations of time too long to be useful. In order to make the time-objects more manageable, time objects in :mod:`nitime` carry a :attr:`time_unit` and a :attr:`_conversion_factor`, which can be used as a convenience, in order to convert between the representation of time in the base unit and the appearance of time in the relevant time-unit. The first set of base classes is a set of representations of time itself. All these classes inherit from :class:`np.ndarray`. As mentioned above, the dtype of these classes is :class:`int64` and the underlying representation is always at the base unit. In addition to the methods inherited from :class:`np.ndarray`, these time representations have an :func:`at` method which . The result of this indexing will be to return the time-point in the the respective :class:`TimeSeries` which is most appropriate (see :ref:`time_series_access` for details). They have an :func:`index_at` method, which returns the integer index of this time in the underlying array. Finally, they will all have a :func:`during` method, which will allow indexing into these objects with an :ref:`interval_class`. This will return the appropriate times corresponding to an :ref:`interval_class` and :func:`index_during`, which will return the array of integers corresponding to the indices of these time-points in the array. For the time being, there are two types of Time classes: :ref:`TimeArray` and :ref:`UniformTime`. .. _TimeArray: :class:`TimeArray` ------------------- This class has less restrictions on it: it is made of an 1-d array, which contains time-points that are not necessarily ordered. It can also contain several copies of the same time-point. This class can be used in order to represent sparsely occurring events, measured at some unspecified sampling rate and possibly collected from several different channels, where the data is sampled in order of channel and not in order of time. As in the case of the :class:`np.ndarray`. This representation of time carries, in addition to the array itself an attribute :attr:`time_unit`, which is the unit in which we would like to present the time-points (recall that the underlying representation is always in the base-unit). .. _UniformTime: :class:`UniformTime` -------------------- This class contains ordered uniformly sampled time-points. This class has an explicit representation of :attr:`t_0`, :attr:`sampling_rate` and :attr:`sampling_interval`. Thus, each element in this array can be used in order to represent the entire time interval $t$, such that: $t_i\leq t < t + \delta t$, where $t_i$ is the nominal value held by that element of the array, and $\delta t$ is the value of :attr:`sampling_interval`. This object contains additional attributes that are not shared by the other time objects. In particular, an object of :class:`UniformTime`, UT, will have the following: * :attr:`UT.t_0`: the first time-point in the series. * :attr:`UT.sampling_rate`: the sampling rate of the series (this is an instance of . * :attr:`UT.sampling_interval`: the value of $\delta t$, mentioned above. * :attr:`UT.duration`: the total time of the series. Obviously, :attr:`UT.sampling_rate` and :attr:`UT.sampling_interval` are redundant, but can both be useful. :class:`Frequency` ------------------ The :attr:`UT.sampling_rate` of :class:`UniformTime` is an object of the :class:`Frequency` class. This is a representation of the frequency in Hz. It is derived from a combination of the :attr:`sampling_interval` and the :attr:`time_unit`. .. _time_series_classes: Time-series ============ These are data container classes for representing different kinds of time-series data types. In implementing these objects, we follow the following principles: * The time-series data representations do not inherit from :class:`np.ndarray`. Instead, one of their attributes is a :attr:`data` attribute, which *is* a :class:`np.ndarray`. This principle should allow for a clean and compact implementation, which doesn't carry all manner of unwanted properties into a bloated object with obscure and unknown behaviors. We have previously decided to make *time* the last dimension in this object, but recently we have been considering making this a user choice (in order to enable indexing into the data by time in a straight-forward manner (using expressions such as :class:`TI.data[i]`. * In tandem, one of their attributes is one of the :ref:`time_classes` base classes described above. This is the :attr:`time` attribute of the time-series object. Therefore, for :class:`TimeSeries` it is implemented in the object with a :func:`desc.setattr_on_read` decoration, so that it is only generated if it is needed. .. _TimeSeries: :class:`TimeSeries` -------------------------- This represents time-series of data collected continuously and regularly. Can be used in order to represent typical physiological data measurements, such as measurements of BOLD responses, or of membrane-potential. The representation of time here is :ref:`UniformTime`. XXX Write more about the different attributes of this class. .. _Epochs: :class:`Epochs` --------------- This class represents intervals of time, or epochs. Each instance of this class contains several attributes: - :attr:`E.start`: This is an object of class :class:`TimeArray`, which represents a collection of starting times of epochs - :attr:`E.stop`: This is an object of class :class:`TimeArray` which represents a collection of end points of the epochs. - :attr:`E.duration`: This is an object of class :class:`TimeArray` which represents the durations of the epochs. - :attr:`E.offset`: This attribute represents the offset of the epoch - :attr:`E.time_unit`: This is .. _Events: :class:`Events` --------------- This is an object which represents a collection of events. For example, this can represent discrete button presses occurring during an experiment. This object contains a :ref:`TimeArray` as its representation of time. This means that the events recorded in the :attr:`data` array can be organized according to any organizing principle you would want, not necessarily according to their organization or order in time. For example, if events are read from different devices, the order of the events in the data array can be arbitrarily chosen to be the order of the devices from which data is read. Analyzers ========= These objects implement a particular analysis, or family of analyses. Typically, the initialization of this kind of object can happen with a time-series object provided as input, as well as a set of parameter values setting. However, for most analyzer objects, the inputs can be provided upong calling the object, or by assignment to the already generated object. Sometimes, a user may wish to revert the computation, change some of the analysis parameters and recompute one or more of the results of the analysis. In order to do that, the analyzer objects implement a :attr:`reset` attribute, which reverts the computation of analysis attributes and allows to change parameters in the analyzer and recompute the analysis results. This structure keeps the cost of computation of quantities derived from the analysis rather low. .. [Goldberg1991] Goldberg D (1991). What every computer scientist should know about floating-point arithmetic. ACM computing surveys 23: 5-48 nitime-rel-0.8.1/doc/users/quickstart.rst000066400000000000000000000010271350450615100204170ustar00rootroot00000000000000============ Quickstart ============ If you have never used python for anything and are interested in trying out nitime, you can quickly get up and running, by following these 3 steps: - Install the EPD: The Enthought Python Distribution contains all the dependencies for using nitime and can be downloaded from here (free for academics): http://www.enthought.com/products/getepd.php - Use *easy install* to get nitime: Open a terminal window and enter:: easy_install --user nitime - Look at the :ref:`examples`. nitime-rel-0.8.1/doc/users/tutorial.rst000066400000000000000000000046351350450615100201000ustar00rootroot00000000000000.. _tutorial: ========= Tutorial ========= In this tutorial, we will demonstrate the basic use of nitime in initializing, manipulating and analyzing a simple time-series object. For more advanced usage see the examples section (:ref:`examples`) In order to get started, import :mod:`nitime.timeseries`: .. code-block:: python In [1]: import nitime.timeseries as ts Then, you can initialize a simple time-series object, by providing data and some information about the sampling-rate or sampling-interval: .. code-block:: python In [2]: t1 = ts.TimeSeries([[1,2,3],[3,6,8]],sampling_rate=0.5) If you tab-complete, you will see that the object now has several different attributes: .. code-block:: python In [3]: t1. t1.at t1.metadata t1.time t1.data t1.sampling_interval t1.time_unit t1.duration t1.sampling_rate t1.from_time_and_data t1.t0 Note that the sampling_interval is the inverse of the sampling_rate: .. code-block:: python In [4]: t1.sampling_interval Out[4]: 2.0 s In addition, the sampling rate is now represented with the units in Hz: .. code-block:: python In [5]: t1.sampling_rate Out[5]: 0.5 Hz Also - once this object is available to you, you have access to the underlying representation of time: .. code-block:: python In [6]: t1.time Out[6]: UniformTime([ 0., 2., 4.], time_unit='s') Now import the analysis library: .. code-block:: python In [7]: import nitime.analysis as nta and initialize an analyzer for correlation analysis: .. code-block:: python In [8]: c = nta.CorrelationAnalyzer(t1) The simplest use of this analyzer (and also the default output) is to compute the correlation coefficient matrix of the data in the different rows of the time-series: .. code-block:: python In [9]: c.corrcoef Out[9]: array([[ 1. , 0.99339927], [ 0.99339927, 1. ]]) but it can also be used in order to generate the cross-correlation function between the channels, which is also a time-series object: .. code-block:: python In [63]: x = c.xcorr In [64]: x.time Out[64]: UniformTime([-6., -4., -2., 0., 2.], time_unit='s') In [65]: x.data Out[65]: array([[[ 3., 8., 14., 8., 3.], [ 8., 22., 39., 24., 9.]], [[ 8., 22., 39., 24., 9.], [ 24., 66., 109., 66., 24.]]]) nitime-rel-0.8.1/doc/whatsnew/000077500000000000000000000000001350450615100161725ustar00rootroot00000000000000nitime-rel-0.8.1/doc/whatsnew/development.rst000066400000000000000000000005141350450615100212460ustar00rootroot00000000000000 ============================ Release notes: development ============================ These are the development release notes. As features are added to nitime and fixes are made, this is the place to document the broad overview of these features and fixes, so that they can be included in the release notes for the next version. nitime-rel-0.8.1/doc/whatsnew/index.rst000066400000000000000000000015761350450615100200440ustar00rootroot00000000000000.. Developers should add in this file, during each release cycle, information .. about important changes they've made, in a summary format that's meant for .. end users. For each release we normally have three sections: features, bug .. fixes and api breakage. .. Please remember to credit the authors of the contributions by name, .. especially when they are new users or developers who do not regularly .. participate in IPython's development. .. _whatsnew_index: ===================== What's new in Nitime ===================== This section documents the changes that have been made in various versions of Nitime: .. toctree:: :maxdepth: 1 version0.7 version0.6 version0.5 version0.4 version0.3 Users should consult these pages to learn about new features, bug fixes and backwards incompatibilities. Developers should summarize the development work they do here. nitime-rel-0.8.1/doc/whatsnew/version0.3.rst000066400000000000000000000134611350450615100206370ustar00rootroot00000000000000 ====================================== Release notes for nitime version 0.3 ====================================== Summary of changes ------------------ Version 0.3 of nitime includes several additions and improvements: #. Testing: Test coverage of nitime has improved substantially. At this point, 84 % of the code is executed when the test suite is executed. This includes a full 100% execution of all l.o.c. in most of the algorithms sub-module. Work led by Ariel Rokem. #. Style and layout improvements: The layout of the algorithms and analysis sub-modules have been simplified and a large majority of the code-base has been modified to conform with PEP8 standards. Work led by Ariel Rokem, with additional thanks to Alex Gramfort for pushing for these changes and helping to bring them about. #. Bug-fixes to the SNRAnalyzer: Several bugs in this module have been fixed. Work led by Ariel Rokem (who put these bugs in there in the first place...). #. MAR estimation algorithms: Extensive reworking of MAR estimation algorithms. Work led by Mike Trumpis. #. SeedCorrelationAnalyzer: This analyzer allows flexible correlation analysis in a few-to-many channel mode. Work led by Michael Waskom. #. GrangerAnalyzer: Following Mike Trumpis' work on MAR estimation, we have implemented an Analyzer for Granger 'causality' analysis. Work led by Ariel Rokem, Mike Trumpis and Fernando Perez #. Filtering: Implementation of zero phase-delay filtering, including IIR and FIR filter methods to the FilterAnalyzer. Work led by Ariel Rokem #. Several new examples, including examples of the usage of these new analysis methods. #. Epoch slicing: Additional work on TimeSeries objects, towards an implementation. This feature is still at an experimental stage at this point. Work led by Ariel Rokem, Fernando Perez, Killian Koepsell and Paul Ivanov. Contributors to this release ---------------------------- * Alexandre Gramfort * Ariel Rokem * Christopher Burns * Fernando Perez * Jarrod Millman * Killian Koepsell * Michael Waskom * Mike Trumpis * Paul Ivanov * Yaroslav Halchenko .. Note:: This list was generated using:: git log dev/0.3 HEAD --format='* %aN <%aE>' |sed 's/@/\-at\-/' | sed 's/<>//' | sort -u Please let us know if you should appear on this list and do not, so that we can add your name in future release notes. Detailed stats from the github repository ----------------------------------------- Github stats for the last 270 days. We closed a total of 38 issues, 28 pull requests and 10 regular issues; this is the full list (generated with the script `tools/github_stats.py`): Pull requests (28): * `78 `_: Doctests * `76 `_: Sphinx warnings * `74 `_: BF: IIR filtering can do band-pass as well as low-pass and high-pass. * `72 `_: ENH: Throw an informative warning when time-series is short for the NFFT. * `75 `_: ENH: Default behavior for time_series_from_file. * `71 `_: Granger analyzer * `73 `_: Seed correlation analyzer * `69 `_: BF: add back tril_indices from numpy 1.4, to support operation with older * `70 `_: Ar latex * `67 `_: Mar examples * `66 `_: Test coverage * `63 `_: Utils work * `62 `_: Interpolate dpss windows when they are too large to be calculated directl * `64 `_: Pass fir window as a kwarg. * `39 `_: Fix xcorr plot * `54 `_: Reorganize analysis * `49 `_: added basic arithetics to timeseries objects * `52 `_: Reorganization * `48 `_: Fix filter analyzer * `47 `_: Correlation analyzer * `43 `_: Filtfilt * `42 `_: (Not) Biopac * `41 `_: Fix example bugs * `40 `_: Epochslicing2 * `33 `_: Epochslicing * `38 `_: Fix snr df bug * `37 `_: Event slicing * `36 `_: Index at bug Regular issues (10): * `31 `_: tools/make_examples.py runs all the examples every time * `56 `_: Test failure on newer versions of scipy * `65 `_: Prune the nipy/nitime repo from old stragglers * `57 `_: multi_taper_psd with jackknife=True fails with multiple timeseries input * `59 `_: missing parameter docstring in utils.ar_generator * `58 `_: Scale of sigma in algorithms.multi_taper_psd * `61 `_: fail to estimate dpss_windows for long signals * `34 `_: SNR information rates need to be normalized by the frequency resolution * `45 `_: Bugs in CorrelationAnalyzer * `29 `_: Filtering nitime-rel-0.8.1/doc/whatsnew/version0.4.rst000066400000000000000000000114161350450615100206360ustar00rootroot00000000000000====================================== Release notes for nitime version 0.4 ====================================== Summary of changes ------------------ Major changes introduced in version 0.4 of :mod:`nitime`: #. :mod:`LazyImports `: Imports of modules are delayed until they are actually used. Work led by Paul Ivanov #. :class:`TimeArray ` math: Mathematical operations such as multiplication/division, as well as min/max/mean/sum are now implemented for the TimeArray class. Work led by Paul Ivanov. #. Replace numpy FFT with scipy FFT. This should improve performance. Work instigated and led by Alex Gramfort. #. Scipy > 0.10 compatibility: Changes to recent versions of scipy have caused import of some modules of nitime to break. This version should have fixed this issue. Contributors to this release ---------------------------- The following people contributed to this release: * Alexandre Gramfort * Ariel Rokem * endolith * Paul Ivanov * Sergey Karayev * Yaroslav Halchenko .. Note:: This list was generated using:: git log --pretty=format:"* %aN" PREV_RELEASE... | sort | uniq Please let us know if you should appear on this list and do not, so that we can add your name in future release notes. Detailed stats from the github repository ----------------------------------------- GitHub stats for the last 311 days. We closed a total of 51 issues, 17 pull requests and 34 regular issues; this is the full list (generated with the script `tools/github_stats.py`): Pull Requests (17): * :ghissue:`104`: nose_arg gives test finer granularity * :ghissue:`103`: make the LazyImport jig pickleable * :ghissue:`101`: fix some typos * :ghissue:`99`: First of all, thanks a lot for the sweet correlation matrix visualization method! I noticed that the behavior of the color_anchor parameter is not what I expected. Let me know what you think * :ghissue:`98`: RF: utils.multi_interesect no longer relies on deprecated intersect1d_nu * :ghissue:`96`: BF: Import factorial from the scipy.misc namespace. * :ghissue:`94`: BF: Account for situations in which TimeSeries has more than two dimensions * :ghissue:`92`: Time array math functions * :ghissue:`91`: Timearray math * :ghissue:`88`: Lazy imports * :ghissue:`89`: Masked arrays * :ghissue:`86`: ENH: Different versions of nose require different input to first-package- * :ghissue:`83`: BF: Improvements and fixes to nosetesting. * :ghissue:`81`: ENH : s/numpy.fft/scipy.fftpack * :ghissue:`77`: BF: Carry around a copy of some of the spectral analysis functions. * :ghissue:`79`: pep8 + pyflakes + misc readability * :ghissue:`78`: Doctests Issues (34): * :ghissue:`30`: Make default behavior for fmri.io.time_series_from_file * :ghissue:`84`: Note on examples * :ghissue:`93`: TimeArray .prod is borked (because of overflow?) * :ghissue:`104`: nose_arg gives test finer granularity * :ghissue:`103`: make the LazyImport jig pickleable * :ghissue:`102`: sphinx docs won't build (related to lazyimports?) * :ghissue:`87`: Test failures on 10.4 * :ghissue:`100`: magnitude of fft showing negative values * :ghissue:`101`: fix some typos * :ghissue:`99`: First of all, thanks a lot for the sweet correlation matrix visualization method! I noticed that the behavior of the color_anchor parameter is not what I expected. Let me know what you think * :ghissue:`97`: utils.py uses feature removed from numpy1.6 * :ghissue:`98`: RF: utils.multi_interesect no longer relies on deprecated intersect1d_nu * :ghissue:`95`: ImportError: Cannot Import name Factorial * :ghissue:`96`: BF: Import factorial from the scipy.misc namespace. * :ghissue:`94`: BF: Account for situations in which TimeSeries has more than two dimensions * :ghissue:`92`: Time array math functions * :ghissue:`91`: Timearray math * :ghissue:`88`: Lazy imports * :ghissue:`89`: Masked arrays * :ghissue:`80`: Replace numpy fft with scipy fft * :ghissue:`86`: ENH: Different versions of nose require different input to first-package- * :ghissue:`85`: slicing time using epochs that start before or end after * :ghissue:`83`: BF: Improvements and fixes to nosetesting. * :ghissue:`82`: nosetest w/o exit=False funks up in ipython * :ghissue:`81`: ENH : s/numpy.fft/scipy.fftpack * :ghissue:`32`: Add a "how to release" page in the docs * :ghissue:`35`: index_at seems to fail with negative times * :ghissue:`50`: Setting IIR filter lower bound to 0 * :ghissue:`44`: Warning when using coherence with welch method and NFFT longer than the time-series itself * :ghissue:`68`: tril_indices not available in fairly recent numpy versions * :ghissue:`77`: BF: Carry around a copy of some of the spectral analysis functions. * :ghissue:`55`: Warning in analysis.coherence might be a bug * :ghissue:`79`: pep8 + pyflakes + misc readability * :ghissue:`78`: Doctests nitime-rel-0.8.1/doc/whatsnew/version0.5.rst000066400000000000000000000065551350450615100206470ustar00rootroot00000000000000====================================== Release notes for nitime version 0.5 ====================================== Summary of changes ------------------ Major changes introduced in version 0.5 of :mod:`nitime`: #. Python 3 support. Work led by Paul Ivanov and Ariel Rokem, with help from Thomas Kluyver, and Matthew Brett. #. Multi-taper F-test for harmonic components. Work led by Mike Trumpis. #. Continuous integration testing with Travis. Work led by Ariel Rokem. #. Various fixes and robustifications from several contributors (see below). Contributors to this release ---------------------------- The following people contributed to this release: * Ariel Rokem * Dmitry Shachnev * Eric Larson * Mike Trumpis * Paul Ivanov * endolith .. Note:: This list was generated using:: git log --pretty=format:"* %aN" rel/0.4... | sort | uniq Please let us know if you should appear on this list and do not, so that we can add your name in future release notes. Detailed stats from the github repository ----------------------------------------- GitHub stats for the last 730 days. We closed a total of 40 issues, 17 pull requests and 23 regular issues; this is the full list (generated with the script `tools/github_stats.py`): Pull Requests (17): * :ghissue:`124`: Buildbot mpl * :ghissue:`114`: This should help the buildbot on older platforms * :ghissue:`122`: Mpl units patch * :ghissue:`121`: RF: Remove the dependency on external 'six', by integrating that file in * :ghissue:`119`: Python3 support! * :ghissue:`120`: Pi=py3k * :ghissue:`115`: BF: For complex signals, return both the negative and positive spectrum * :ghissue:`112`: Mt fix ups * :ghissue:`118`: FIX: Pass int * :ghissue:`117`: NF: On the way to enabling travis ci. * :ghissue:`111`: Use inheritance_diagram.py provided by Sphinx (>= 0.6) * :ghissue:`110`: BF + TST: Robustification and testing of utility function. * :ghissue:`108`: Doc timeseries * :ghissue:`109`: Spectra for multi-dimensional time-series * :ghissue:`107`: DOC: fix parameter rendering for timeseries * :ghissue:`106`: Fix rst definition list formatting * :ghissue:`105`: FIX: Kmax wrong, BW = bandwidth Issues (23): * :ghissue:`116`: Refer to github more prominently on webpage * :ghissue:`124`: Buildbot mpl * :ghissue:`114`: This should help the buildbot on older platforms * :ghissue:`123`: Memory error of GrangerAnalyzer * :ghissue:`122`: Mpl units patch * :ghissue:`121`: RF: Remove the dependency on external 'six', by integrating that file in * :ghissue:`120`: Pi=py3k * :ghissue:`119`: Python3 support! * :ghissue:`115`: BF: For complex signals, return both the negative and positive spectrum * :ghissue:`112`: Mt fix ups * :ghissue:`118`: FIX: Pass int * :ghissue:`117`: NF: On the way to enabling travis ci. * :ghissue:`113`: Race condition provoked in TimeArray * :ghissue:`111`: Use inheritance_diagram.py provided by Sphinx (>= 0.6) * :ghissue:`110`: BF + TST: Robustification and testing of utility function. * :ghissue:`108`: Doc timeseries * :ghissue:`109`: Spectra for multi-dimensional time-series * :ghissue:`107`: DOC: fix parameter rendering for timeseries * :ghissue:`106`: Fix rst definition list formatting * :ghissue:`105`: FIX: Kmax wrong, BW = bandwidth * :ghissue:`30`: Make default behavior for fmri.io.time_series_from_file * :ghissue:`84`: Note on examples * :ghissue:`93`: TimeArray .prod is borked (because of overflow?) nitime-rel-0.8.1/doc/whatsnew/version0.6.rst000066400000000000000000000037661350450615100206510ustar00rootroot00000000000000====================================== Release notes for nitime version 0.6 ====================================== Summary of changes ------------------ This is a maintenance release, to support newer versions of matplotlib and numpy. Contributors to this release ---------------------------- The following people contributed to this release: * Ariel Rokem * Igor Gnatenko * Yaroslav Halchenko .. Note:: This list was generated using:: git log --pretty=format:"* %aN" rel/0.5... | sort | uniq Please let us know if you should appear on this list and do not, so that we can add your name in future release notes. Detailed stats from the github repository ----------------------------------------- GitHub stats for the last 604 days. We closed a total of 15 issues, 6 pull requests and 9 regular issues; this is the full list (generated with the script `tools/github_stats.py`): Pull Requests (6): * :ghissue:`139`: Testing fixes * :ghissue:`138`: TST: Update Travis config, add appveyor config. * :ghissue:`134`: test_viz: import networkx instead of nx * :ghissue:`135`: BF: Newer numpy can't deal with the type coercion that comes with inplace division * :ghissue:`130`: RF: Modernize this call to Matplotlib to address DeprecationWarning * :ghissue:`128`: BF(PY2.6): use sys.version_info as unnamed tuple Issues (9): * :ghissue:`139`: Testing fixes * :ghissue:`138`: TST: Update Travis config, add appveyor config. * :ghissue:`134`: test_viz: import networkx instead of nx * :ghissue:`135`: BF: Newer numpy can't deal with the type coercion that comes with inp… * :ghissue:`132`: RuntimeWarning: Breaking due to iterative meltdown in nitime.utils.adaptive_weights. * :ghissue:`129`: nitime.viz import error, ImportError: 'No module named mpl_toolkits.axes_grid' * :ghissue:`130`: RF: Modernize this call to Matplotlib to address DeprecationWarning * :ghissue:`131`: Multi-taper coherence estimation with two signals of different length? * :ghissue:`128`: BF(PY2.6): use sys.version_info as unnamed tuple nitime-rel-0.8.1/doc/whatsnew/version0.7.rst000066400000000000000000000041771350450615100206470ustar00rootroot00000000000000====================================== Release notes for nitime version 0.7 ====================================== Summary of changes ------------------ This is a maintenance release. Testing in this version no longer depends on nose_. Contributors to this release ---------------------------- The following people contributed to this release: * Ariel Rokem * Eric Larson * Paul Ivanov * Takeshi Abe * Tom Dupré la Tour * James Franco .. Note:: This list was generated using:: git log --pretty=format:"* %aN" rel/0.5... | sort | uniq Please let us know if you should appear on this list and do not, so that we can add your name in future release notes. Detailed stats from the github repository ----------------------------------------- GitHub stats for the last 310 days. We closed a total of 19 issues, 9 pull requests and 10 regular issues; this is the full list (generated with the script `tools/github_stats.py`): Pull Requests (9): * :ghissue:`147`: 'GrangerAnalyzer's causality_xy[i, j] should represent the causality i => j' * :ghissue:`148`: 'Remove support for Python 3.3' * :ghissue:`146`: 'BF: Addition (and sub, mul, div, etc.) should work between time-series.' * :ghissue:`145`: 'BF: Inherit t0 from the source time-series' * :ghissue:`144`: 'add built files to gitignore' * :ghissue:`143`: 'Update doc build machinery to Python 3' * :ghissue:`142`: 'Fixing build dependency on numpy' * :ghissue:`140`: 'FIX: Fix interpolation of dpss_windows' * :ghissue:`139`: 'Testing fixes' Issues (10): * :ghissue:`147`: "GrangerAnalyzer's causality_xy[i, j] should represent the causality i => j" * :ghissue:`148`: 'Remove support for Python 3.3' * :ghissue:`146`: 'BF: Addition (and sub, mul, div, etc.) should work between time-series.' * :ghissue:`145`: 'BF: Inherit t0 from the source time-series' * :ghissue:`144`: 'add built files to gitignore' * :ghissue:`143`: 'Update doc build machinery to Python 3' * :ghissue:`141`: 'pip install problem with numpy' * :ghissue:`142`: 'Fixing build dependency on numpy' * :ghissue:`140`: 'FIX: Fix interpolation of dpss_windows' * :ghissue:`139`: 'Testing fixes' .. include:: ../links_names.txt nitime-rel-0.8.1/nitime/000077500000000000000000000000001350450615100150525ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/LICENSE000066400000000000000000000030041350450615100160540ustar00rootroot00000000000000Copyright (c) 2006-2011, NIPY 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 NIPY Developers nor the names of any 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. nitime-rel-0.8.1/nitime/__init__.py000066400000000000000000000014211350450615100171610ustar00rootroot00000000000000""" Nitime: Time-series analysis for neuroscience The module has several sub-modules: - ``timeseries``: contains the constructors for time and time-series objects - ``algorithms``: Algorithms. This sub-module depends only on scipy,numpy and matplotlib. Contains various algorithms. - ``utils``: Utility functions. - ``analysis``: Contains *Analyzer* objects, which implement particular analysis methods on the time-series objects - ``viz``: Vizualization All of the sub-modules will be imported as part of ``__init__``, so that users have all of these things at their fingertips. """ __docformat__ = 'restructuredtext' from .version import __version__ from . import algorithms from . import timeseries from . import analysis from . import six from .timeseries import * nitime-rel-0.8.1/nitime/_mpl_units.py000066400000000000000000000210701350450615100175750ustar00rootroot00000000000000""" This is a fixed copy of a module from Matplotlib v1.3 (https://github.com/matplotlib/matplotlib/pull/2591). It was taken verbatim from Matplotlib's github repository and is, as is all of MPL v1.3.1, copyright (c) 2012-2013 Matplotlib Development Team; All Rights Reserved. 1. This LICENSE AGREEMENT is between the Matplotlib Development Team ("MDT"), and the Individual or Organization ("Licensee") accessing and otherwise using matplotlib software in source or binary form and its associated documentation. 2. Subject to the terms and conditions of this License Agreement, MDT hereby grants Licensee a nonexclusive, royalty-free, world-wide license to reproduce, analyze, test, perform and/or display publicly, prepare derivative works, distribute, and otherwise use matplotlib 1.3.1 alone or in any derivative version, provided, however, that MDT's License Agreement and MDT's notice of copyright, i.e., "Copyright (c) 2012-2013 Matplotlib Development Team; All Rights Reserved" are retained in matplotlib 1.3.1 alone or in any derivative version prepared by Licensee. 3. In the event Licensee prepares a derivative work that is based on or incorporates matplotlib 1.3.1 or any part thereof, and wants to make the derivative work available to others as provided herein, then Licensee hereby agrees to include in any such work a brief summary of the changes made to matplotlib 1.3.1. 4. MDT is making matplotlib 1.3.1 available to Licensee on an "AS IS" basis. MDT MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED. BY WAY OF EXAMPLE, BUT NOT LIMITATION, MDT MAKES NO AND DISCLAIMS ANY REPRESENTATION OR WARRANTY OF MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF MATPLOTLIB 1.3.1 WILL NOT INFRINGE ANY THIRD PARTY RIGHTS. 5. MDT SHALL NOT BE LIABLE TO LICENSEE OR ANY OTHER USERS OF MATPLOTLIB 1.3.1 FOR ANY INCIDENTAL, SPECIAL, OR CONSEQUENTIAL DAMAGES OR LOSS AS A RESULT OF MODIFYING, DISTRIBUTING, OR OTHERWISE USING MATPLOTLIB 1.3.1, OR ANY DERIVATIVE THEREOF, EVEN IF ADVISED OF THE POSSIBILITY THEREOF. 6. This License Agreement will automatically terminate upon a material breach of its terms and conditions. 7. Nothing in this License Agreement shall be deemed to create any relationship of agency, partnership, or joint venture between MDT and Licensee. This License Agreement does not grant permission to use MDT trademarks or trade name in a trademark sense to endorse or promote products or services of Licensee, or any third party. 8. By copying, installing or otherwise using matplotlib 1.3.1, Licensee agrees to be bound by the terms and conditions of this License Agreement. It is distributed under the following license: The classes here provide support for using custom classes with matplotlib, eg those that do not expose the array interface but know how to converter themselves to arrays. It also supoprts classes with units and units conversion. Use cases include converters for custom objects, eg a list of datetime objects, as well as for objects that are unit aware. We don't assume any particular units implementation, rather a units implementation must provide a ConversionInterface, and the register with the Registry converter dictionary. For example, here is a complete implementation which supports plotting with native datetime objects:: import matplotlib.units as units import matplotlib.dates as dates import matplotlib.ticker as ticker import datetime class DateConverter(units.ConversionInterface): @staticmethod def convert(value, unit, axis): 'convert value to a scalar or array' return dates.date2num(value) @staticmethod def axisinfo(unit, axis): 'return major and minor tick locators and formatters' if unit!='date': return None majloc = dates.AutoDateLocator() majfmt = dates.AutoDateFormatter(majloc) return AxisInfo(majloc=majloc, majfmt=majfmt, label='date') @staticmethod def default_units(x, axis): 'return the default unit for x or None' return 'date' # finally we register our object type with a converter units.registry[datetime.date] = DateConverter() """ from __future__ import print_function from matplotlib.cbook import iterable, is_numlike import numpy as np class AxisInfo: """information to support default axis labeling and tick labeling, and default limits""" def __init__(self, majloc=None, minloc=None, majfmt=None, minfmt=None, label=None, default_limits=None): """ majloc and minloc: TickLocators for the major and minor ticks majfmt and minfmt: TickFormatters for the major and minor ticks label: the default axis label default_limits: the default min, max of the axis if no data is present If any of the above are None, the axis will simply use the default """ self.majloc = majloc self.minloc = minloc self.majfmt = majfmt self.minfmt = minfmt self.label = label self.default_limits = default_limits class ConversionInterface: """ The minimal interface for a converter to take custom instances (or sequences) and convert them to values mpl can use """ @staticmethod def axisinfo(unit, axis): 'return an units.AxisInfo instance for axis with the specified units' return None @staticmethod def default_units(x, axis): 'return the default unit for x or None for the given axis' return None @staticmethod def convert(obj, unit, axis): """ convert obj using unit for the specified axis. If obj is a sequence, return the converted sequence. The output must be a sequence of scalars that can be used by the numpy array layer """ return obj @staticmethod def is_numlike(x): """ The matplotlib datalim, autoscaling, locators etc work with scalars which are the units converted to floats given the current unit. The converter may be passed these floats, or arrays of them, even when units are set. Derived conversion interfaces may opt to pass plain-ol unitless numbers through the conversion interface and this is a helper function for them. """ if iterable(x): for thisx in x: return is_numlike(thisx) else: return is_numlike(x) class Registry(dict): """ register types with conversion interface """ def __init__(self): dict.__init__(self) self._cached = {} def get_converter(self, x): 'get the converter interface instance for x, or None' if not len(self): return None # nothing registered #DISABLED idx = id(x) #DISABLED cached = self._cached.get(idx) #DISABLED if cached is not None: return cached converter = None classx = getattr(x, '__class__', None) if classx is not None: converter = self.get(classx) if isinstance(x, np.ndarray) and x.size: xravel = x.ravel() try: # pass the first value of x that is not masked back to # get_converter if not np.all(xravel.mask): # some elements are not masked converter = self.get_converter( xravel[np.argmin(xravel.mask)]) return converter except AttributeError: # not a masked_array # Make sure we don't recurse forever -- it's possible for # ndarray subclasses to continue to return subclasses and # not ever return a non-subclass for a single element. next_item = xravel[0] if (not isinstance(next_item, np.ndarray) or next_item.shape != x.shape): converter = self.get_converter(next_item) return converter if converter is None and iterable(x): for thisx in x: # Make sure that recursing might actually lead to a solution, # if we are just going to re-examine another item of the same # kind, then do not look at it. if classx and classx != getattr(thisx, '__class__', None): converter = self.get_converter(thisx) return converter #DISABLED self._cached[idx] = converter return converter registry = Registry() nitime-rel-0.8.1/nitime/_utils.pyx000066400000000000000000000030031350450615100171070ustar00rootroot00000000000000""" -*- python -*- file C-level implementation of the following routines in utils.py: * tridisolve() """ import numpy as np cimport numpy as cnp cimport cython @cython.boundscheck(False) def tridisolve(cnp.ndarray[cnp.npy_double, ndim=1] d, cnp.ndarray[cnp.npy_double, ndim=1] e, cnp.ndarray[cnp.npy_double, ndim=1] b, overwrite_b=True): """ Symmetric tridiagonal system solver, from Golub and Van Loan pg 157 Parameters ---------- d : ndarray main diagonal stored in d[:] e : ndarray superdiagonal stored in e[:-1] b : ndarray RHS vector Returns ------- x : ndarray Solution to Ax = b (if overwrite_b is False). Otherwise solution is stored in previous RHS vector b """ # indexing cdef int N = len(b) cdef int k # work vectors cdef cnp.ndarray[cnp.npy_double, ndim=1] dw cdef cnp.ndarray[cnp.npy_double, ndim=1] ew cdef cnp.ndarray[cnp.npy_double, ndim=1] x dw = d.copy() ew = e.copy() if overwrite_b: x = b else: x = b.copy() for k in xrange(1, N): # e^(k-1) = e(k-1) / d(k-1) # d(k) = d(k) - e^(k-1)e(k-1) / d(k-1) t = ew[k - 1] ew[k - 1] = t / dw[k - 1] dw[k] = dw[k] - t * ew[k - 1] for k in xrange(1, N): x[k] = x[k] - ew[k - 1] * x[k - 1] x[N - 1] = x[N - 1] / dw[N - 1] for k in xrange(N - 2, -1, -1): x[k] = x[k] / dw[k] - ew[k] * x[k + 1] if not overwrite_b: return x nitime-rel-0.8.1/nitime/algorithms/000077500000000000000000000000001350450615100172235ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/algorithms/__init__.py000066400000000000000000000047611350450615100213440ustar00rootroot00000000000000""" This module contains implementations of algorithms for time series analysis. These algorithms include: 1. Spectral estimation: calculate the spectra of time-series and cross-spectra between time-series. :func:`get_spectra`, :func:`get_spectra_bi`, :func:`periodogram`, :func:`periodogram_csd`, :func:`dpss_windows`, :func:`multi_taper_psd`, :func:`multi_taper_csd`, :func:`mtm_cross_spectrum` 2. Coherency: calculate the pairwise correlation between time-series in the frequency domain and related quantities. :func:`coherency`, :func:`coherence`, :func:`coherence_regularized`, :func:`coherency_regularized`, :func:`coherency_bavg`, :func:`coherence_bavg`, :func:`coherence_partial`, :func:`coherence_partial_bavg`, :func:`coherency_phase_spectrum`, :func:`coherency_phase_delay`, :func:`coherency_phase_delay_bavg`, :func:`correlation_spectrum` 3. Cached coherency: A set of special functions for quickly calculating coherency in large data-sets, where the calculation is done over only a subset of the adjacency matrix edges and intermediate calculations are cached, in order to save calculation time. :func:`cache_fft`, :func:`cache_to_psd`, :func:`cache_to_phase`, :func:`cache_to_relative_phase`, :func:`cache_to_coherency`. 4. Event-related analysis: calculate the correlation between time-series and external events. :func:`freq_domain_xcorr`, :func:`freq_domain_xcorr_zscored`, :func:`fir` 5. Wavelet transforms: Calculate wavelet transforms of time-series data. :func:`wmorlet`, :func:`wfmorlet_fft`, :func:`wlogmorlet`, :func:`wlogmorlet_fft` 6. Filtering: Filter a signal in the frequency domain. :func:`boxcar_filter` 7. Autoregressive estimation and granger causality :func: 8. Entropy :func:`entropy`, :func:`conditional_entropy`, func`mutual_information`, :func:`entropy_cc`, :func:`transfer_entropy` The algorithms in this library are the functional form of the algorithms, which accept as inputs numpy array and produce numpy array outputs. Therefore, they can be used on any type of data which can be represented in numpy arrays. See also :mod:`nitime.analysis` for simplified analysis interfaces, using the data containers implemented in :mod:`nitime.timeseries` """ from nitime.algorithms.spectral import * from nitime.algorithms.cohere import * from nitime.algorithms.wavelet import * from nitime.algorithms.event_related import * from nitime.algorithms.autoregressive import * from nitime.algorithms.filter import * from nitime.algorithms.correlation import * from nitime.algorithms.entropy import * nitime-rel-0.8.1/nitime/algorithms/autoregressive.py000066400000000000000000000352131350450615100226500ustar00rootroot00000000000000r""" Autoregressive (AR) processes are processes of the form: .. math:: x(n) = a(1)x(n-1) + a(2)x(n-2) + ... + a(P)x(n-P) + e(n) where e(n) is a white noise process. The usage of 'e' suggests interpreting the linear combination of P past values of x(n) as the minimum mean square error linear predictor of x(n) Thus .. math:: e(n) = x(n) - a(1)x(n-1) - a(2)x(n-2) - ... - a(P)x(n-P) Due to whiteness, e(n) is also pointwise uncorrelated--ie, .. math:: :nowrap: \begin{align*} \text{(i)} && E\{e(n)e^{*}(n-m)\}& = \delta(n-m) &\\ \text{(ii)} && E\{e(n)x^{*}(m)\} & = 0 & m\neq n\\ \text{(iii)} && E\{|e|^{2}\} = E\{e(n)e^{*}(n)\} &= E\{e(n)x^{*}(n)\} & \end{align*} These principles form the basis of the methods in this module for estimating the AR coefficients and the error/innovations power. """ import numpy as np from nitime.lazy import scipy_linalg as linalg import nitime.utils as utils from .spectral import freq_response def AR_est_YW(x, order, rxx=None): r"""Determine the autoregressive (AR) model of a random process x using the Yule Walker equations. The AR model takes this convention: .. math:: x(n) = a(1)x(n-1) + a(2)x(n-2) + \dots + a(p)x(n-p) + e(n) where e(n) is a zero-mean white noise process with variance sig_sq, and p is the order of the AR model. This method returns the a_i and sigma The orthogonality property of minimum mean square error estimates states that .. math:: E\{e(n)x^{*}(n-k)\} = 0 \quad 1\leq k\leq p Inserting the definition of the error signal into the equations above yields the Yule Walker system of equations: .. math:: R_{xx}(k) = \sum_{i=1}^{p}a(i)R_{xx}(k-i) \quad1\leq k\leq p Similarly, the variance of the error process is .. math:: E\{e(n)e^{*}(n)\} = E\{e(n)x^{*}(n)\} = R_{xx}(0)-\sum_{i=1}^{p}a(i)R^{*}(i) Parameters ---------- x : ndarray The sampled autoregressive random process order : int The order p of the AR system rxx : ndarray (optional) An optional, possibly unbiased estimate of the autocorrelation of x Returns ------- ak, sig_sq : The estimated AR coefficients and innovations variance """ if rxx is not None and type(rxx) == np.ndarray: r_m = rxx[:order + 1] else: r_m = utils.autocorr(x)[:order + 1] Tm = linalg.toeplitz(r_m[:order]) y = r_m[1:] ak = linalg.solve(Tm, y) sigma_v = r_m[0].real - np.dot(r_m[1:].conj(), ak).real return ak, sigma_v def AR_est_LD(x, order, rxx=None): r"""Levinson-Durbin algorithm for solving the Hermitian Toeplitz system of Yule-Walker equations in the AR estimation problem .. math:: T^{(p)}a^{(p)} = \gamma^{(p+1)} where .. math:: :nowrap: \begin{align*} T^{(p)} &= \begin{pmatrix} R_{0} & R_{1}^{*} & \cdots & R_{p-1}^{*}\\ R_{1} & R_{0} & \cdots & R_{p-2}^{*}\\ \vdots & \vdots & \ddots & \vdots\\ R_{p-1}^{*} & R_{p-2}^{*} & \cdots & R_{0} \end{pmatrix}\\ a^{(p)} &=\begin{pmatrix} a_1 & a_2 & \cdots a_p \end{pmatrix}^{T}\\ \gamma^{(p+1)}&=\begin{pmatrix}R_1 & R_2 & \cdots & R_p \end{pmatrix}^{T} \end{align*} and :math:`R_k` is the autocorrelation of the kth lag Parameters ---------- x : ndarray the zero-mean stochastic process order : int the AR model order--IE the rank of the system. rxx : ndarray, optional (at least) order+1 samples of the autocorrelation sequence Returns ------- ak, sig_sq The AR coefficients for 1 <= k <= p, and the variance of the driving white noise process """ if rxx is not None and type(rxx) == np.ndarray: rxx_m = rxx[:order + 1] else: rxx_m = utils.autocorr(x)[:order + 1] w = np.zeros((order + 1, ), rxx_m.dtype) # initialize the recursion with the R[0]w[1]=r[1] solution (p=1) b = rxx_m[0].real w_k = rxx_m[1] / b w[1] = w_k p = 2 while p <= order: b *= 1 - (w_k * w_k.conj()).real w_k = (rxx_m[p] - (w[1:p] * rxx_m[1:p][::-1]).sum()) / b # update w_k from k=1,2,...,p-1 # with a correction from w*_i i=p-1,p-2,...,1 w[1:p] = w[1:p] - w_k * w[1:p][::-1].conj() w[p] = w_k p += 1 b *= 1 - (w_k * w_k.conj()).real return w[1:], b def lwr_recursion(r): r"""Perform a Levinson-Wiggins[Whittle]-Robinson recursion to find the coefficients a(i) that satisfy the matrix version of the Yule-Walker system of P + 1 equations: sum_{i=0}^{P} a(i)r(k-i) = 0, for k = {1,2,...,P} with the additional equation sum_{i=0}^{P} a(i)r(-k) = V where V is the covariance matrix of the innovations process, and a(0) is fixed at the identity matrix Also note that r is defined as: r(k) = E{ X(t)X*(t-k) } ( * = conjugate transpose ) r(-k) = r*(k) This routine adapts the algorithm found in eqs (1)-(11) in Morf, Vieira, Kailath 1978 Parameters ---------- r : ndarray, shape (P + 1, nc, nc) Returns ------- a : ndarray (P,nc,nc) coefficient sequence of order P sigma : ndarray (nc,nc) covariance estimate """ # r is (P+1, nc, nc) nc = r.shape[1] P = r.shape[0] - 1 a = np.zeros((P, nc, nc)) # ar coefs b = np.zeros_like(a) # lp coefs sigb = np.zeros_like(r[0]) # forward prediction error covariance sigf = np.zeros_like(r[0]) # backward prediction error covariance delta = np.zeros_like(r[0]) # initialize idnt = np.eye(nc) sigf[:] = r[0] sigb[:] = r[0] # iteratively find sequences A_{p+1}(i) and B_{p+1}(i) for p in range(P): # calculate delta_{p+1} # delta_{p+1} = r(p+1) + sum_{i=1}^{p} a(i)r(p+1-i) delta[:] = r[p + 1] for i in range(1, p + 1): delta += np.dot(a[i - 1], r[p + 1 - i]) # intermediate values XXX: should turn these into solution-problems ka = np.dot(delta, linalg.inv(sigb)) kb = np.dot(delta.conj().T, linalg.inv(sigf)) # store a_{p} before updating sequence to a_{p+1} ao = a.copy() # a_{p+1}(i) = a_{p}(i) - ka*b_{p}(p+1-i) for i in {1,2,...,p} # b_{p+1}(i) = b_{p}(i) - kb*a_{p}(p+1-i) for i in {1,2,...,p} for i in range(1, p + 1): a[i - 1] -= np.dot(ka, b[p - i]) for i in range(1, p + 1): b[i - 1] -= np.dot(kb, ao[p - i]) a[p] = -ka b[p] = -kb sigf = np.dot(idnt - np.dot(ka, kb), sigf) sigb = np.dot(idnt - np.dot(kb, ka), sigb) return a, sigf def MAR_est_LWR(x, order, rxx=None): r""" MAR estimation, using the LWR algorithm, as in Morf et al. Parameters ---------- x : ndarray The sampled autoregressive random process order : int The order P of the AR system rxx : ndarray (optional) An optional, possibly unbiased estimate of the autocovariance of x Returns ------- a, ecov : The system coefficients and the estimated covariance """ Rxx = utils.autocov_vector(x, nlags=order) a, ecov = lwr_recursion(Rxx.transpose(2, 0, 1)) return a, ecov def AR_psd(ak, sigma_v, n_freqs=1024, sides='onesided'): r""" Compute the PSD of an AR process, based on the process coefficients and covariance n_freqs : int The number of spacings on the frequency grid from [-PI,PI). If sides=='onesided', n_freqs/2+1 frequencies are computed from [0,PI] sides : str (optional) Indicates whether to return a one-sided or two-sided PSD Returns ------- (w, ar_psd) w : Array of normalized frequences from [-.5, .5) or [0,.5] ar_psd : A PSD estimate computed by sigma_v / |1-a(f)|**2 , where a(f) = DTFT(ak) """ # compute the psd as |H(f)|**2, where H(f) is the transfer function # for this model s[n] = a1*s[n-1] + a2*s[n-2] + ... aP*s[n-P] + v[n] # Taken as a IIR system with unit-variance white noise input e[n] # and output s[n], # b0*e[n] = w0*s[n] + w1*s[n-1] + w2*s[n-2] + ... + wP*s[n-P], # where b0 = sqrt(VAR{v[n]}), w0 = 1, and wk = -ak for k>0 # the transfer function here is H(f) = DTFT(w) # leading to Sxx(f)/Exx(f) = |H(f)|**2 = VAR{v[n]} / |W(f)|**2 w, hw = freq_response(sigma_v ** 0.5, a=np.r_[1, -ak], n_freqs=n_freqs, sides=sides) ar_psd = (hw * hw.conj()).real return (w, 2 * ar_psd) if sides == 'onesided' else (w, ar_psd) #----------------------------------------------------------------------------- # Granger causality analysis #----------------------------------------------------------------------------- def transfer_function_xy(a, n_freqs=1024): r"""Helper routine to compute the transfer function H(w) based on sequence of coefficient matrices A(i). The z transforms follow from this definition: X[t] + sum_{k=1}^P a[k]X[t-k] = Err[t] Parameters ---------- a : ndarray, shape (P, 2, 2) sequence of coef matrices describing an mAR process n_freqs : int, optional number of frequencies to compute in range [0,PI] Returns ------- Hw : ndarray The transfer function from innovations process vector to mAR process X """ # these concatenations follow from the observation that A(0) is # implicitly the identity matrix ai = np.r_[1, a[:, 0, 0]] bi = np.r_[0, a[:, 0, 1]] ci = np.r_[0, a[:, 1, 0]] di = np.r_[1, a[:, 1, 1]] # compute A(w) such that A(w)X(w) = Err(w) w, aw = freq_response(ai, n_freqs=n_freqs) _, bw = freq_response(bi, n_freqs=n_freqs) _, cw = freq_response(ci, n_freqs=n_freqs) _, dw = freq_response(di, n_freqs=n_freqs) #A = np.array([ [1-aw, -bw], [-cw, 1-dw] ]) A = np.array([[aw, bw], [cw, dw]]) # compute the transfer function from Err to X. Since Err(w) is 1(w), # the transfer function H(w) = A^(-1)(w) # (use 2x2 matrix shortcut) detA = (A[0, 0] * A[1, 1] - A[0, 1] * A[1, 0]) Hw = np.array([[dw, -bw], [-cw, aw]]) Hw /= detA return w, Hw def spectral_matrix_xy(Hw, cov): r"""Compute the spectral matrix S(w), from the convention: X[t] + sum_{k=1}^P a[k]X[t-k] = Err[t] The formulation follows from Ding, Chen, Bressler 2008, pg 6 eqs (11) to (15) The transfer function H(w) should be computed first from transfer_function_xy() Parameters ---------- Hw : ndarray (2, 2, n_freqs) Pre-computed transfer function from transfer_function_xy() cov : ndarray (2, 2) The covariance between innovations processes in Err[t] Returns ------- Sw : ndarrays matrix of spectral density functions """ nw = Hw.shape[-1] # now compute specral density function estimate # S(w) = H(w)SigH*(w) Sw = np.empty((2, 2, nw), 'D') # do a shortcut for 2x2: # compute T(w) = SigH*(w) # t00 = Sig[0,0] * H*_00(w) + Sig[0,1] * H*_10(w) t00 = cov[0, 0] * Hw[0, 0].conj() + cov[0, 1] * Hw[0, 1].conj() # t01 = Sig[0,0] * H*_01(w) + Sig[0,1] * H*_11(w) t01 = cov[0, 0] * Hw[1, 0].conj() + cov[0, 1] * Hw[1, 1].conj() # t10 = Sig[1,0] * H*_00(w) + Sig[1,1] * H*_10(w) t10 = cov[1, 0] * Hw[0, 0].conj() + cov[1, 1] * Hw[0, 1].conj() # t11 = Sig[1,0] * H*_01(w) + Sig[1,1] * H*_11(w) t11 = cov[1, 0] * Hw[1, 0].conj() + cov[1, 1] * Hw[1, 1].conj() # now S(w) = H(w)T(w) Sw[0, 0] = Hw[0, 0] * t00 + Hw[0, 1] * t10 Sw[0, 1] = Hw[0, 0] * t01 + Hw[0, 1] * t11 Sw[1, 0] = Hw[1, 0] * t00 + Hw[1, 1] * t10 Sw[1, 1] = Hw[1, 0] * t01 + Hw[1, 1] * t11 return Sw def coherence_from_spectral(Sw): r"""Compute the spectral coherence between processes X and Y, given their spectral matrix S(w) Parameters ---------- Sw : ndarray spectral matrix """ Sxx = Sw[0, 0].real Syy = Sw[1, 1].real Sxy_mod_sq = (Sw[0, 1] * Sw[1, 0]).real Sxy_mod_sq /= Sxx Sxy_mod_sq /= Syy return Sxy_mod_sq def interdependence_xy(Sw): r"""Compute the 'total interdependence' between processes X and Y, given their spectral matrix S(w) Parameters ---------- Sw : ndarray spectral matrix Returns ------- fxy(w) interdependence function of frequency """ Cw = coherence_from_spectral(Sw) return -np.log(1 - Cw) def granger_causality_xy(a, cov, n_freqs=1024): r"""Compute the Granger causality between processes X and Y, which are linked in a multivariate autoregressive (mAR) model parameterized by coefficient matrices a(i) and the innovations covariance matrix X[t] + sum_{k=1}^P a[k]X[t-k] = Err[t] Parameters ---------- a : ndarray, (P,2,2) coefficient matrices characterizing the autoregressive mixing cov : ndarray, (2,2) covariance matrix characterizing the innovations vector n_freqs: int number of frequencies to compute in the fourier transform Returns ------- w, f_x_on_y, f_y_on_x, f_xy, Sw 1) vector of frequencies 2) function of the Granger causality of X on Y 3) function of the Granger causality of Y on X 4) function of the 'instantaneous causality' between X and Y 5) spectral density matrix """ w, Hw = transfer_function_xy(a, n_freqs=n_freqs) sigma = cov[0, 0] upsilon = cov[0, 1] gamma = cov[1, 1] # this transformation of the transfer functions computes the # Granger causality of Y on X gamma2 = gamma - upsilon ** 2 / sigma Hxy = Hw[0, 1] Hxx_hat = Hw[0, 0] + (upsilon / sigma) * Hxy xx_auto_component = (sigma * Hxx_hat * Hxx_hat.conj()).real cross_component = gamma2 * Hxy * Hxy.conj() Sxx = xx_auto_component + cross_component f_y_on_x = np.log(Sxx.real / xx_auto_component) # this transformation computes the Granger causality of X on Y sigma2 = sigma - upsilon ** 2 / gamma Hyx = Hw[1, 0] Hyy_hat = Hw[1, 1] + (upsilon / gamma) * Hyx yy_auto_component = (gamma * Hyy_hat * Hyy_hat.conj()).real cross_component = sigma2 * Hyx * Hyx.conj() Syy = yy_auto_component + cross_component f_x_on_y = np.log(Syy.real / yy_auto_component) # now compute cross densities, using the latest transformation Hxx = Hw[0, 0] Hyx = Hw[1, 0] Hxy_hat = Hw[0, 1] + (upsilon / gamma) * Hxx Sxy = sigma2 * Hxx * Hyx.conj() + gamma * Hxy_hat * Hyy_hat.conj() Syx = sigma2 * Hyx * Hxx.conj() + gamma * Hyy_hat * Hxy_hat.conj() # can safely throw away imaginary part # since Sxx and Syy are real, and Sxy == Syx* detS = (Sxx * Syy - Sxy * Syx).real f_xy = xx_auto_component * yy_auto_component f_xy /= detS f_xy = np.log(f_xy) return w, f_x_on_y, f_y_on_x, f_xy, np.array([[Sxx, Sxy], [Syx, Syy]]) nitime-rel-0.8.1/nitime/algorithms/cohere.py000066400000000000000000001116351350450615100210510ustar00rootroot00000000000000""" Coherency is an analogue of correlation, calculated in the frequency domain. This is a useful quantity for describing a system of oscillators coupled with delay. This is because the coherency captures not only the magnitude of the time-shift-independent correlation between the time-series (termed 'coherence'), but can also be used in order to estimate the size of the time-delay (the phase-delay between the time-series in a particular frequency band). """ import numpy as np from nitime.lazy import scipy_fftpack as fftpack from nitime.lazy import matplotlib_mlab as mlab from .spectral import get_spectra, get_spectra_bi import nitime.utils as utils # To support older versions of numpy that don't have tril_indices: from nitime.index_utils import tril_indices def coherency(time_series, csd_method=None): r""" Compute the coherency between the spectra of n-tuple of time series. Input to this function is in the time domain Parameters ---------- time_series : n*t float array an array of n different time series of length t each csd_method : dict, optional. See :func:`get_spectra` documentation for details Returns ------- f : float array The central frequencies for the frequency bands for which the spectra are estimated c : float array This is a symmetric matrix with the coherencys of the signals. The coherency of signal i and signal j is in f[i][j]. Note that f[i][j] = f[j][i].conj() Notes ----- This is an implementation of equation (1) of Sun (2005): .. math:: R_{xy} (\lambda) = \frac{f_{xy}(\lambda)} {\sqrt{f_{xx} (\lambda) \cdot f_{yy}(\lambda)}} F.T. Sun and L.M. Miller and M. D'Esposito (2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) # A container for the coherencys, with the size and shape of the expected # output: c = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0]), dtype=complex) # Make sure it's complex for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = coherency_spec(fxy[i][j], fxy[i][i], fxy[j][j]) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return f, c def coherency_spec(fxy, fxx, fyy): r""" Compute the coherency between the spectra of two time series. Input to this function is in the frequency domain. Parameters ---------- fxy : float array The cross-spectrum of the time series fyy,fxx : float array The spectra of the signals Returns ------- complex array the frequency-band-dependent coherency See also -------- :func:`coherency` """ return fxy / np.sqrt(fxx * fyy) def coherence(time_series, csd_method=None): r"""Compute the coherence between the spectra of an n-tuple of time_series. Parameters of this function are in the time domain. Parameters ---------- time_series : float array an array of different time series with time as the last dimension csd_method : dict, optional See :func:`algorithms.spectral.get_spectra` documentation for details Returns ------- f : float array The central frequencies for the frequency bands for which the spectra are estimated c : float array This is a symmetric matrix with the coherencys of the signals. The coherency of signal i and signal j is in f[i][j]. Notes ----- This is an implementation of equation (2) of Sun (2005): .. math:: Coh_{xy}(\lambda) = |{R_{xy}(\lambda)}|^2 = \frac{|{f_{xy}(\lambda)}|^2}{f_{xx}(\lambda) \cdot f_{yy}(\lambda)} F.T. Sun and L.M. Miller and M. D'Esposito (2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) # A container for the coherences, with the size and shape of the expected # output: c = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0])) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = coherence_spec(fxy[i][j], fxy[i][i], fxy[j][j]) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return f, c def coherence_spec(fxy, fxx, fyy): r""" Compute the coherence between the spectra of two time series. Parameters of this function are in the frequency domain. Parameters ---------- fxy : array The cross-spectrum of the time series fyy, fxx : array The spectra of the signals Returns ------- float : a frequency-band-dependent measure of the linear association between the two time series See also -------- :func:`coherence` """ if not np.isrealobj(fxx): fxx = np.real(fxx) if not np.isrealobj(fyy): fyy = np.real(fyy) c = np.abs(fxy) ** 2 / (fxx * fyy) return c def coherency_regularized(time_series, epsilon, alpha, csd_method=None): r""" Compute a regularized measure of the coherence. Regularization may be needed in order to overcome numerical imprecisions Parameters ---------- time_series: float array The time series data for which the regularized coherence is calculated. Time as the last dimension. epsilon: float Small regularization parameter. Should be much smaller than any meaningful value of coherence you might encounter alpha: float Large regularization parameter. Should be much larger than any meaningful value of coherence you might encounter (preferably much larger than 1). csd_method: dict, optional. See :func:`get_spectra` documentation for details Returns ------- f: float array The central frequencies for the frequency bands for which the spectra are estimated c: float array This is a symmetric matrix with the coherencys of the signals. The coherency of signal i and signal j is in f[i][j]. Note that f[i][j] = f[j][i].conj() Notes ----- The regularization scheme is as follows: .. math:: Coh_{xy}^R = \frac{(\alpha f_{xx} + \epsilon) ^2} {\alpha^{2}(f_{xx}+\epsilon)(f_{yy}+\epsilon)} """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) # A container for the coherences, with the size and shape of the expected # output: c = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0]), dtype=complex) # Make sure it's complex for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = _coherency_reqularized(fxy[i][j], fxy[i][i], fxy[j][j], epsilon, alpha) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return f, c def _coherency_reqularized(fxy, fxx, fyy, epsilon, alpha): r""" A regularized version of the calculation of coherency, which is more robust to numerical noise than the standard calculation Input to this function is in the frequency domain. Parameters ---------- fxy, fxx, fyy: float arrays The cross- and power-spectral densities of the two signals x and y epsilon: float First regularization parameter. Should be much smaller than any meaningful value of coherence you might encounter alpha: float Second regularization parameter. Should be much larger than any meaningful value of coherence you might encounter (preferably much larger than 1). Returns ------- float array The coherence values """ return (((alpha * fxy + epsilon)) / np.sqrt(((alpha ** 2) * (fxx + epsilon) * (fyy + epsilon)))) def coherence_regularized(time_series, epsilon, alpha, csd_method=None): r""" Same as coherence, except regularized in order to overcome numerical imprecisions Parameters ---------- time_series: n-d float array The time series data for which the regularized coherence is calculated epsilon: float Small regularization parameter. Should be much smaller than any meaningful value of coherence you might encounter alpha: float large regularization parameter. Should be much larger than any meaningful value of coherence you might encounter (preferably much larger than 1). csd_method: dict, optional. See :func:`get_spectra` documentation for details Returns ------- f: float array The central frequencies for the frequency bands for which the spectra are estimated c: n-d array This is a symmetric matrix with the coherencys of the signals. The coherency of signal i and signal j is in f[i][j]. Notes ----- The regularization scheme is as follows: .. math:: C_{x,y} = \frac{(\alpha f_{xx} + \epsilon)^2} {\alpha^{2}((f_{xx}+\epsilon)(f_{yy}+\epsilon))} """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) # A container for the coherences, with the size and shape of the expected # output: c = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0]), complex) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = _coherence_reqularized(fxy[i][j], fxy[i][i], fxy[j][j], epsilon, alpha) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return f, c def _coherence_reqularized(fxy, fxx, fyy, epsilon, alpha): r"""A regularized version of the calculation of coherence, which is more robust to numerical noise than the standard calculation. Input to this function is in the frequency domain Parameters ---------- fxy, fxx, fyy: float arrays The cross- and power-spectral densities of the two signals x and y epsilon: float First regularization parameter. Should be much smaller than any meaningful value of coherence you might encounter alpha: float Second regularization parameter. Should be much larger than any meaningful value of coherence you might encounter (preferably much larger than 1) Returns ------- float array The coherence values """ return (((alpha * np.abs(fxy) + epsilon) ** 2) / ((alpha ** 2) * (fxx + epsilon) * (fyy + epsilon))) def coherency_bavg(time_series, lb=0, ub=None, csd_method=None): r""" Compute the band-averaged coherency between the spectra of two time series. Input to this function is in the time domain. Parameters ---------- time_series: n*t float array an array of n different time series of length t each lb, ub: float, optional the upper and lower bound on the frequency band to be used in averaging defaults to 1,max(f) csd_method: dict, optional. See :func:`get_spectra` documentation for details Returns ------- c: float array This is an upper-diagonal array, where c[i][j] is the band-averaged coherency between time_series[i] and time_series[j] Notes ----- This is an implementation of equation (A4) of Sun(2005): .. math:: \bar{Coh_{xy}} (\bar{\lambda}) = \frac{\left|{\sum_\lambda{\hat{f_{xy}}}}\right|^2} {\sum_\lambda{\hat{f_{xx}}}\cdot sum_\lambda{\hat{f_{yy}}}} F.T. Sun and L.M. Miller and M. D'Esposito (2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) lb_idx, ub_idx = utils.get_bounds(f, lb, ub) if lb == 0: lb_idx = 1 # The lowest frequency band should be f0 c = np.zeros((time_series.shape[0], time_series.shape[0]), dtype=complex) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = _coherency_bavg(fxy[i][j][lb_idx:ub_idx], fxy[i][i][lb_idx:ub_idx], fxy[j][j][lb_idx:ub_idx]) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return c def _coherency_bavg(fxy, fxx, fyy): r""" Compute the band-averaged coherency between the spectra of two time series. Input to this function is in the frequency domain. Parameters ---------- fxy : float array The cross-spectrum of the time series fyy,fxx : float array The spectra of the signals Returns ------- float the band-averaged coherency Notes ----- This is an implementation of equation (A4) of [Sun2005]_: .. math:: \bar{Coh_{xy}} (\bar{\lambda}) = \frac{\left|{\sum_\lambda{\hat{f_{xy}}}}\right|^2} {\sum_\lambda{\hat{f_{xx}}}\cdot sum_\lambda{\hat{f_{yy}}}} .. [Sun2005] F.T. Sun and L.M. Miller and M. D'Esposito(2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. """ # Average the phases and the magnitudes separately and then recombine: p = np.angle(fxy) p_bavg = np.mean(p) m = np.abs(coherency_spec(fxy, fxx, fyy)) m_bavg = np.mean(m) # Recombine according to z = r(cos(phi)+sin(phi)i): return m_bavg * (np.cos(p_bavg) + np.sin(p_bavg) * 1j) def coherence_bavg(time_series, lb=0, ub=None, csd_method=None): r""" Compute the band-averaged coherence between the spectra of two time series. Input to this function is in the time domain. Parameters ---------- time_series : float array An array of time series, time as the last dimension. lb, ub: float, optional The upper and lower bound on the frequency band to be used in averaging defaults to 1,max(f) csd_method: dict, optional. See :func:`get_spectra` documentation for details Returns ------- c : float This is an upper-diagonal array, where c[i][j] is the band-averaged coherency between time_series[i] and time_series[j] """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) lb_idx, ub_idx = utils.get_bounds(f, lb, ub) if lb == 0: lb_idx = 1 # The lowest frequency band should be f0 c = np.zeros((time_series.shape[0], time_series.shape[0])) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): c[i][j] = _coherence_bavg(fxy[i][j][lb_idx:ub_idx], fxy[i][i][lb_idx:ub_idx], fxy[j][j][lb_idx:ub_idx]) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return c def _coherence_bavg(fxy, fxx, fyy): r""" Compute the band-averaged coherency between the spectra of two time series. Input to this function is in the frequency domain Parameters ---------- fxy : float array The cross-spectrum of the time series fyy,fxx : float array The spectra of the signals Returns ------- float : the band-averaged coherence """ if not np.isrealobj(fxx): fxx = np.real(fxx) if not np.isrealobj(fyy): fyy = np.real(fyy) return (np.abs(fxy.sum()) ** 2) / (fxx.sum() * fyy.sum()) def coherence_partial(time_series, r, csd_method=None): r""" Compute the band-specific partial coherence between the spectra of two time series. The partial coherence is the part of the coherence between x and y, which cannot be attributed to a common cause, r. Input to this function is in the time domain. Parameters ---------- time_series: float array An array of time-series, with time as the last dimension. r: float array This array represents the temporal sequence of the common cause to be partialed out, sampled at the same rate as time_series csd_method: dict, optional See :func:`get_spectra` documentation for details Returns ------- f: array, The mid-frequencies of the frequency bands in the spectral decomposition c: float array The frequency dependent partial coherence between time_series i and time_series j in c[i][j] and in c[j][i], with r partialed out Notes ----- This is an implementation of equation (2) of Sun (2004): .. math:: Coh_{xy|r} = \frac{|{R_{xy}(\lambda) - R_{xr}(\lambda) R_{ry}(\lambda)}|^2}{(1-|{R_{xr}}|^2)(1-|{R_{ry}}|^2)} F.T. Sun and L.M. Miller and M. D'Esposito (2004). Measuring interregional functional connectivity using coherence and partial coherence analyses of fMRI data Neuroimage, 21: 647-58. """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) # Initialize c according to the size of f: c = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0]), dtype=complex) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): f, fxx, frr, frx = get_spectra_bi(time_series[i], r, csd_method) f, fyy, frr, fry = get_spectra_bi(time_series[j], r, csd_method) c[i, j] = coherence_partial_spec(fxy[i][j], fxy[i][i], fxy[j][j], frx, fry, frr) idx = tril_indices(time_series.shape[0], -1) c[idx[0], idx[1], ...] = c[idx[1], idx[0], ...].conj() # Make it symmetric return f, c def coherence_partial_spec(fxy, fxx, fyy, fxr, fry, frr): r""" Compute the band-specific partial coherence between the spectra of two time series. See :func:`partial_coherence`. Input to this function is in the frequency domain. Parameters ---------- fxy : float array The cross-spectrum of the time series fyy, fxx : float array The spectra of the signals fxr, fry : float array The cross-spectra of the signals with the event Returns ------- float the band-averaged coherency """ coh = coherency_spec Rxr = coh(fxr, fxx, frr) Rry = coh(fry, fyy, frr) Rxy = coh(fxy, fxx, fyy) return (((np.abs(Rxy - Rxr * Rry)) ** 2) / ((1 - ((np.abs(Rxr)) ** 2)) * (1 - ((np.abs(Rry)) ** 2)))) def coherency_phase_spectrum(time_series, csd_method=None): r""" Compute the phase spectrum of the cross-spectrum between two time series. The parameters of this function are in the time domain. Parameters ---------- time_series : n*t float array The time series, with t, time, as the last dimension Returns ------- f : mid frequencies of the bands p : an array with the pairwise phase spectrum between the time series, where p[i][j] is the phase spectrum between time series[i] and time_series[j] Notes ----- This is an implementation of equation (3) of Sun et al. (2005) [Sun2005]_: .. math:: \phi(\lambda) = arg [R_{xy} (\lambda)] = arg [f_{xy} (\lambda)] F.T. Sun and L.M. Miller and M. D'Esposito (2005). Measuring temporal dynamics of functional networks using phase spectrum of fMRI data. Neuroimage, 28: 227-37. """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) p = np.zeros((time_series.shape[0], time_series.shape[0], f.shape[0])) for i in range(time_series.shape[0]): for j in range(i + 1, time_series.shape[0]): p[i][j] = np.angle(fxy[i][j]) p[j][i] = np.angle(fxy[i][j].conjugate()) return f, p def coherency_phase_delay(time_series, lb=0, ub=None, csd_method=None): """ The temporal delay calculated from the coherency phase spectrum. Parameters ---------- time_series: float array The time-series data for which the delay is calculated. lb, ub: float Frequency boundaries (in Hz), for the domain over which the delays are calculated. Defaults to 0-max(f) csd_method : dict, optional. See :func:`get_spectra` Returns ------- f : float array The mid-frequencies for the frequency bands over which the calculation is done. p : float array Pairwise temporal delays between time-series (in seconds). """ if csd_method is None: csd_method = {'this_method': 'welch'} # The default f, fxy = get_spectra(time_series, csd_method) lb_idx, ub_idx = utils.get_bounds(f, lb, ub) if lb_idx == 0: lb_idx = 1 p = np.zeros((time_series.shape[0], time_series.shape[0], f[lb_idx:ub_idx].shape[-1])) for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): p[i][j] = _coherency_phase_delay(f[lb_idx:ub_idx], fxy[i][j][lb_idx:ub_idx]) p[j][i] = _coherency_phase_delay( f[lb_idx:ub_idx], fxy[i][j][lb_idx:ub_idx].conjugate()) return f[lb_idx:ub_idx], p def _coherency_phase_delay(f, fxy): r""" Compute the phase delay between the spectra of two signals. The input to this function is in the frequency domain. Parameters ---------- f: float array The frequencies fxy : float array The cross-spectrum of the time series Returns ------- float array the phase delay (in sec) for each frequency band. """ return np.angle(fxy) / (2 * np.pi * f) def correlation_spectrum(x1, x2, Fs=2 * np.pi, norm=False): """ Calculate the spectral decomposition of the correlation. Parameters ---------- x1,x2: ndarray Two arrays to be correlated. Same dimensions Fs: float, optional Sampling rate in Hz. If provided, an array of frequencies will be returned.Defaults to 2 norm: bool, optional When this is true, the spectrum is normalized to sum to 1 Returns ------- f: ndarray ndarray with the frequencies ccn: ndarray The spectral decomposition of the correlation Notes ----- This method is described in full in: D Cordes, V M Haughton, K Arfanakis, G J Wendt, P A Turski, C H Moritz, M A Quigley, M E Meyerand (2000). Mapping functionally related regions of brain with functional connectivity MR imaging. AJNR American journal of neuroradiology 21:1636-44 """ x1 = x1 - np.mean(x1) x2 = x2 - np.mean(x2) x1_f = fftpack.fft(x1) x2_f = fftpack.fft(x2) D = np.sqrt(np.sum(x1 ** 2) * np.sum(x2 ** 2)) n = x1.shape[0] ccn = ((np.real(x1_f) * np.real(x2_f) + np.imag(x1_f) * np.imag(x2_f)) / (D * n)) if norm: # Only half of the sum is sent back because of the freq domain # symmetry. ccn = ccn / np.sum(ccn) * 2 # XXX Does normalization make this strictly positive? f = utils.get_freqs(Fs, n) return f, ccn[0:(n // 2 + 1)] # ----------------------------------------------------------------------- # Coherency calculated using cached spectra # ----------------------------------------------------------------------- """The idea behind this set of functions is to keep a cache of the windowed fft calculations of each time-series in a massive collection of time-series, so that this calculation doesn't have to be repeated each time a cross-spectrum is calculated. The first function creates the cache and then, another function takes the cached spectra and calculates PSDs and CSDs, which are then passed to coherency_spec and organized in a data structure similar to the one created by coherence""" def cache_fft(time_series, ij, lb=0, ub=None, method=None, prefer_speed_over_memory=False, scale_by_freq=True): """compute and cache the windowed FFTs of the time_series, in such a way that computing the psd and csd of any combination of them can be done quickly. Parameters ---------- time_series : float array An ndarray with time-series, where time is the last dimension ij: list of tuples Each tuple in this variable should contain a pair of indices of the form (i,j). The resulting cache will contain the fft of time-series in the rows indexed by the unique elements of the union of i and j lb,ub: float Define a frequency band of interest, for which the fft will be cached method: dict, optional See :func:`get_spectra` for details on how this is used. For this set of functions, 'this_method' has to be 'welch' Returns ------- freqs, cache where: cache = {'FFT_slices':FFT_slices,'FFT_conj_slices':FFT_conj_slices, 'norm_val':norm_val} Notes ----- - For these functions, only the Welch windowed periodogram ('welch') is available. - Detrending the input is not an option here, in order to save time on an empty function call. """ if method is None: method = {'this_method': 'welch'} # The default this_method = method.get('this_method', 'welch') if this_method == 'welch': NFFT = method.get('NFFT', 64) Fs = method.get('Fs', 2 * np.pi) window = method.get('window', mlab.window_hanning) n_overlap = method.get('n_overlap', int(np.ceil(NFFT / 2.0))) else: e_s = "For cache_fft, spectral estimation method must be welch" raise ValueError(e_s) time_series = utils.zero_pad(time_series, NFFT) # The shape of the zero-padded version: n_channels, n_time_points = time_series.shape # get all the unique channels in time_series that we are interested in by # checking the ij tuples all_channels = set() for i, j in ij: all_channels.add(i) all_channels.add(j) # for real time_series, ignore the negative frequencies if np.iscomplexobj(time_series): n_freqs = NFFT else: n_freqs = NFFT // 2 + 1 # Which frequencies freqs = utils.get_freqs(Fs, NFFT) # If there are bounds, limit the calculation to within that band, # potentially include the DC component: lb_idx, ub_idx = utils.get_bounds(freqs, lb, ub) n_freqs = ub_idx - lb_idx # Make the window: if np.iterable(window): assert(len(window) == NFFT) window_vals = window else: window_vals = window(np.ones(NFFT, time_series.dtype)) # Each fft needs to be normalized by the square of the norm of the window # and, for consistency with newer versions of mlab.csd (which, in turn, are # consistent with Matlab), normalize also by the sampling rate: if scale_by_freq: # This is the normalization factor for one-sided estimation, taking # into account the sampling rate. This makes the PSD a density # function, with units of dB/Hz, so that integrating over # frequencies gives you the RMS. (XXX this should be in the tests!). norm_val = (np.abs(window_vals) ** 2).sum() * (Fs / 2) else: norm_val = (np.abs(window_vals) ** 2).sum() / 2 # cache the FFT of every windowed, detrended NFFT length segment # of every channel. If prefer_speed_over_memory, cache the conjugate # as well i_times = list(range(0, n_time_points - NFFT + 1, NFFT - n_overlap)) n_slices = len(i_times) FFT_slices = {} FFT_conj_slices = {} for i_channel in all_channels: Slices = np.zeros((n_slices, n_freqs), dtype=np.complex) for iSlice in range(n_slices): thisSlice = time_series[i_channel, i_times[iSlice]:i_times[iSlice] + NFFT] # Windowing: thisSlice = window_vals * thisSlice # No detrending # Derive the fft for that slice: Slices[iSlice, :] = (fftpack.fft(thisSlice)[lb_idx:ub_idx]) FFT_slices[i_channel] = Slices if prefer_speed_over_memory: FFT_conj_slices[i_channel] = np.conjugate(Slices) cache = {'FFT_slices': FFT_slices, 'FFT_conj_slices': FFT_conj_slices, 'norm_val': norm_val, 'Fs': Fs, 'scale_by_freq': scale_by_freq} return freqs, cache def cache_to_psd(cache, ij): """ From a set of cached windowed fft, calculate the psd Parameters ---------- cache : dict Return value from :func:`cache_fft` ij : list A list of tuples of the form (i,j). Returns ------- Pxx : dict The phases for the intersection of (time_series[i],time_series[j]). The keys are the intersection of i,j values in the parameter ij """ # This is the way it is saved by cache_spectra: FFT_slices = cache['FFT_slices'] FFT_conj_slices = cache['FFT_conj_slices'] norm_val = cache['norm_val'] # Fs = cache['Fs'] # This is where the output goes to: Pxx = {} all_channels = set() for i, j in ij: all_channels.add(i) all_channels.add(j) for i in all_channels: # If we made the conjugate slices: if FFT_conj_slices: Pxx[i] = FFT_slices[i] * FFT_conj_slices[i] else: Pxx[i] = FFT_slices[i] * np.conjugate(FFT_slices[i]) # If there is more than one window if FFT_slices[i].shape[0] > 1: Pxx[i] = np.mean(Pxx[i], 0) Pxx[i] /= norm_val # Correct for the NFFT/2 and DC components: Pxx[i][[0, -1]] /= 2 return Pxx def cache_to_phase(cache, ij): """ From a set of cached set of windowed fft's, calculate the frequency-band dependent phase for each of the channels in ij. Note that this returns the absolute phases of the time-series, not the relative phases between them. In order to get relative phases, use cache_to_relative_phase Parameters ---------- cache : dict The return value of :func:`cache_fft` ij: list A list of tuples of the form (i,j) for all the indices for which to calculate the phases Returns ------- Phase : dict The individual phases, keys are all the i and j in ij, such that Phase[i] gives you the phase for the time-series i in the input to :func:`cache_fft` """ FFT_slices = cache['FFT_slices'] Phase = {} all_channels = set() for i, j in ij: all_channels.add(i) all_channels.add(j) for i in all_channels: Phase[i] = np.angle(FFT_slices[i]) # If there is more than one window, average over all the windows: if FFT_slices[i].shape[0] > 1: Phase[i] = np.mean(Phase[i], 0) return Phase def cache_to_relative_phase(cache, ij): """ From a set of cached set of windowed fft's, calculate the frequency-band dependent relative phase for the combinations ij. Parameters ---------- cache: dict The return value from :func:`cache_fft` ij: list A list of tuples of the form (i,j), all the pairs of indices for which to calculate the relative phases Returns ------- Phi_xy : dict The relative phases between the time-series i and j. Such that Phi_xy[i,j] is the phase from time_series[i] to time_series[j]. Note ---- This function will give you a different result than using :func:`coherency_phase_spectrum`. This is because :func:`coherency_phase_spectrum` calculates the angle based on the average psd, whereas this function calculates the average of the angles calculated on individual windows. """ # This is the way it is saved by cache_spectra: FFT_slices = cache['FFT_slices'] FFT_conj_slices = cache['FFT_conj_slices'] # norm_val = cache['norm_val'] freqs = cache['FFT_slices'][ij[0][0]].shape[-1] ij_array = np.array(ij) channels_i = max(1, max(ij_array[:, 0]) + 1) channels_j = max(1, max(ij_array[:, 1]) + 1) # Pre-allocate for speed: Phi_xy = np.zeros((channels_i, channels_j, freqs), dtype=np.complex) # These checks take time, so do them up front, not in every iteration: if list(FFT_slices.items())[0][1].shape[0] > 1: if FFT_conj_slices: for i, j in ij: phi = np.angle(FFT_slices[i] * FFT_conj_slices[j]) Phi_xy[i, j] = np.mean(phi, 0) else: for i, j in ij: phi = np.angle(FFT_slices[i] * np.conjugate(FFT_slices[j])) Phi_xy[i, j] = np.mean(phi, 0) else: if FFT_conj_slices: for i, j in ij: Phi_xy[i, j] = np.angle(FFT_slices[i] * FFT_conj_slices[j]) else: for i, j in ij: Phi_xy[i, j] = np.angle(FFT_slices[i] * np.conjugate(FFT_slices[j])) return Phi_xy def cache_to_coherency(cache, ij): """From a set of cached spectra, calculate the coherency relationships Parameters ---------- cache: dict the return value from :func:`cache_fft` ij: list a list of (i,j) tuples, the pairs of indices for which the cross-coherency is to be calculated Returns ------- Cxy: dict coherence values between the time-series ij. Indexing into this dict takes the form Cxy[i,j] in order to extract the coherency between time-series i and time-series j in the original input to :func:`cache_fft` """ #This is the way it is saved by cache_spectra: FFT_slices = cache['FFT_slices'] FFT_conj_slices = cache['FFT_conj_slices'] norm_val = cache['norm_val'] freqs = cache['FFT_slices'][ij[0][0]].shape[-1] ij_array = np.array(ij) channels_i = max(1, max(ij_array[:, 0]) + 1) channels_j = max(1, max(ij_array[:, 1]) + 1) Cxy = np.zeros((channels_i, channels_j, freqs), dtype=np.complex) #These checks take time, so do them up front, not in every iteration: if list(FFT_slices.items())[0][1].shape[0] > 1: if FFT_conj_slices: for i, j in ij: #dbg: #print i,j Pxy = FFT_slices[i] * FFT_conj_slices[j] Pxx = FFT_slices[i] * FFT_conj_slices[i] Pyy = FFT_slices[j] * FFT_conj_slices[j] Pxx = np.mean(Pxx, 0) Pyy = np.mean(Pyy, 0) Pxy = np.mean(Pxy, 0) Pxy /= norm_val Pxx /= norm_val Pyy /= norm_val Cxy[i, j] = Pxy / np.sqrt(Pxx * Pyy) else: for i, j in ij: Pxy = FFT_slices[i] * np.conjugate(FFT_slices[j]) Pxx = FFT_slices[i] * np.conjugate(FFT_slices[i]) Pyy = FFT_slices[j] * np.conjugate(FFT_slices[j]) Pxx = np.mean(Pxx, 0) Pyy = np.mean(Pyy, 0) Pxy = np.mean(Pxy, 0) Pxy /= norm_val Pxx /= norm_val Pyy /= norm_val Cxy[i, j] = Pxy / np.sqrt(Pxx * Pyy) else: if FFT_conj_slices: for i, j in ij: Pxy = FFT_slices[i] * FFT_conj_slices[j] Pxx = FFT_slices[i] * FFT_conj_slices[i] Pyy = FFT_slices[j] * FFT_conj_slices[j] Pxy /= norm_val Pxx /= norm_val Pyy /= norm_val Cxy[i, j] = Pxy / np.sqrt(Pxx * Pyy) else: for i, j in ij: Pxy = FFT_slices[i] * np.conjugate(FFT_slices[j]) Pxx = FFT_slices[i] * np.conjugate(FFT_slices[i]) Pyy = FFT_slices[j] * np.conjugate(FFT_slices[j]) Pxy /= norm_val Pxx /= norm_val Pyy /= norm_val Cxy[i, j] = Pxy / np.sqrt(Pxx * Pyy) return Cxy nitime-rel-0.8.1/nitime/algorithms/correlation.py000066400000000000000000000005261350450615100221210ustar00rootroot00000000000000import numpy as np __all__ = ["seed_corrcoef"] def seed_corrcoef(seed, target): """Compute seed-based correlation coefficient""" x = target - np.mean(target, -1)[..., np.newaxis] y = seed - np.mean(seed) xx = np.sum(x ** 2, -1) yy = np.sum(y ** 2, -1) xy = np.dot(x, y) r = xy / np.sqrt(xx * yy) return r nitime-rel-0.8.1/nitime/algorithms/entropy.py000066400000000000000000000044121350450615100212760ustar00rootroot00000000000000# -*- coding: utf-8 -*- import itertools import numpy as np def entropy(*X): """ Calculate the entropy of a variable, or joint entropy of several variables. Parameters ---------- X : array, or list of arrays Variable or variables to compute entropy/joint entropy on Notes ----- This function can be used to calculate the entropy of a single variable (provided as a single input) or to calculate the joint entropy between two variables (provided as a series of inputs) """ n_instances = len(X[0]) H = 0 for classes in itertools.product(*[set(x) for x in X]): v = np.array([True] * n_instances) for predictions, c in zip(X, classes): v = np.logical_and(v, predictions == c) p = np.mean(v) H += -p * np.log2(p) if p > 0 else 0 return H def conditional_entropy(x, y): """ The conditional entropy H(X|Y) = H(Y,X) - H(Y). X conditioned on Y """ H_y = entropy(y) H_yx = entropy(y, x) return H_yx - H_y def mutual_information(x, y): """ The mutual information between two variables MI(X, Y) = H(X) + H(Y) - H(X | Y) Parameters ---------- x, y : array Returns ------- array : mutual information between x and y """ H_x = entropy(x) H_y = entropy(y) H_xy = entropy(x, y) return H_x + H_y - H_xy def entropy_cc(x, y): """ The entropy correlation coefficient: p(H) = sqrt(MI(X, Y) / 0.5 * (H(X) + H(Y))) """ H_x = entropy(x) H_y = entropy(y) I_xy = mutual_information(y, x) return np.sqrt(I_xy / (0.5 * (H_x + H_y))) def transfer_entropy(x, y, lag=1): """ Transfer entropy for two given signals. Parameters ---------- x : array source y : array target lag : int Returns ------- array : Transfer entropy from x to y """ # Future of i Fi = np.roll(x, -lag) # Past of i Pi = x # Past of j Pj = y # Transfer entropy Inf_from_Pi_to_Fi = conditional_entropy(Fi, Pi) # Same as cond_entropy(Fi, Pi_Pj) H_y = entropy(Pi, Pj) H_yx = entropy(Fi, Pj, Pi) Inf_from_Pi_Pj_to_Fi = H_yx - H_y TE_from_j_to_i = Inf_from_Pi_to_Fi - Inf_from_Pi_Pj_to_Fi return TE_from_j_to_i nitime-rel-0.8.1/nitime/algorithms/event_related.py000066400000000000000000000101751350450615100224220ustar00rootroot00000000000000""" Event-related analysis """ import numpy as np from nitime.lazy import scipy_linalg as linalg from nitime.lazy import scipy_fftpack as fftpack def fir(timeseries, design): """ Calculate the FIR (finite impulse response) HRF, according to [Burock2000]_ Parameters ---------- timeseries : float array timeseries data design : int array This is a design matrix. It has to have shape = (number of TRS, number of conditions * length of HRF) The form of the matrix is: A B C ... where A is a (number of TRs) x (length of HRF) matrix with a unity matrix placed with its top left corner placed in each TR in which event of type A occurred in the design. B is the equivalent for events of type B, etc. Returns ------- HRF: float array HRF is a numpy array of 1X(length of HRF * number of conditions) with the HRFs for the different conditions concatenated. This is an estimate of the linear filters between the time-series and the events described in design. Notes ----- Implements equation 4 in Burock(2000): .. math:: \hat{h} = (X^T X)^{-1} X^T y M.A. Burock and A.M.Dale (2000). Estimation and Detection of Event-Related fMRI Signals with Temporally Correlated Noise: A Statistically Efficient and Unbiased Approach. Human Brain Mapping, 11:249-260 """ h = np.array(np.dot(np.dot(linalg.pinv(np.dot(design.T, design)), design.T), timeseries.T)) return h def freq_domain_xcorr(tseries, events, t_before, t_after, Fs=1): """ Calculates the event related timeseries, using a cross-correlation in the frequency domain. Parameters ---------- tseries: float array Time series data with time as the last dimension events: float array An array with time-resolved events, at the same sampling rate as tseries t_before: float Time before the event to include t_after: float Time after the event to include Fs: float Sampling rate of the time-series (in Hz) Returns ------- xcorr: float array The correlation function between the tseries and the events. Can be interperted as a linear filter from events to responses (the time-series) of an LTI. """ fft = fftpack.fft ifft = fftpack.ifft fftshift = fftpack.fftshift xcorr = np.real(fftshift(ifft(fft(tseries) * fft(np.fliplr([events]))))) return xcorr[0][int(np.ceil(len(xcorr[0]) // 2) - t_before * Fs): int(np.ceil(len(xcorr[0]) // 2) + t_after // 2 * Fs)] / np.sum(events) def freq_domain_xcorr_zscored(tseries, events, t_before, t_after, Fs=1): """ Calculates the z-scored event related timeseries, using a cross-correlation in the frequency domain. Parameters ---------- tseries: float array Time series data with time as the last dimension events: float array An array with time-resolved events, at the same sampling rate as tseries t_before: float Time before the event to include t_after: float Time after the event to include Fs: float Sampling rate of the time-series (in Hz) Returns ------- xcorr: float array The correlation function between the tseries and the events. Can be interperted as a linear filter from events to responses (the time-series) of an LTI. Because it is normalized to its own mean and variance, it can be interperted as measuring statistical significance relative to all time-shifted versions of the events. """ fft = fftpack.fft ifft = fftpack.ifft fftshift = fftpack.fftshift xcorr = np.real(fftshift(ifft(fft(tseries) * fft(np.fliplr([events]))))) meanSurr = np.mean(xcorr) stdSurr = np.std(xcorr) return (((xcorr[0][int(np.ceil(len(xcorr[0]) // 2) - t_before * Fs): int(np.ceil(len(xcorr[0]) // 2) + t_after * Fs)]) - meanSurr) / stdSurr) nitime-rel-0.8.1/nitime/algorithms/filter.py000066400000000000000000000072511350450615100210670ustar00rootroot00000000000000import numpy as np def boxcar_filter(time_series, lb=0, ub=0.5, n_iterations=2): """ Filters data into a frequency range. For each of the two bounds, a low-passed version is created by convolving with a box-car and then the low-passed version for the upper bound is added to the low-passed version for the lower bound subtracted from the signal, resulting in a band-passed version Parameters ---------- time_series: float array the signal ub : float, optional The cut-off frequency for the low-pass filtering as a proportion of the sampling rate. Default to 0.5 (Nyquist) lb : float, optional The cut-off frequency for the high-pass filtering as a proportion of the sampling rate. Default to 0 n_iterations: int, optional how many rounds of smoothing to do. Default to 2. Returns ------- float array: The signal, filtered """ n = time_series.shape[-1] len_boxcar_ub = np.ceil(1 / (2.0 * ub)) boxcar_ub = np.empty(int(len_boxcar_ub)) boxcar_ub.fill(1.0 / len_boxcar_ub) boxcar_ones_ub = np.ones_like(boxcar_ub) if lb == 0: lb = None else: len_boxcar_lb = np.ceil(1 / (2.0 * lb)) boxcar_lb = np.empty(int(len_boxcar_lb)) boxcar_lb.fill(1.0 / len_boxcar_lb) boxcar_ones_lb = np.ones_like(boxcar_lb) #If the time_series is a 1-d, we add a dimension, so that we can iterate #over 2-d inputs: if len(time_series.shape) == 1: time_series = np.array([time_series]) for i in range(time_series.shape[0]): if ub: # Start by applying a low-pass to the signal. Pad the signal on # each side with the initial and terminal signal value: pad_s = np.hstack((boxcar_ones_ub * time_series[i, 0], time_series[i])) pad_s = np.hstack((pad_s, boxcar_ones_ub * time_series[i, -1])) # Filter operation is a convolution with the box-car(iterate, # n_iterations times over this operation): for iteration in range(n_iterations): conv_s = np.convolve(pad_s, boxcar_ub) # Extract the low pass signal by excising the central # len(time_series) points: time_series[i] = conv_s[conv_s.shape[-1] // 2 - int(np.floor(n / 2.)): conv_s.shape[-1] // 2 + int(np.ceil(n / 2.))] # Now, if there is a high-pass, do the same, but in the end subtract # out the low-passed signal: if lb: pad_s = np.hstack((boxcar_ones_lb * time_series[i, 0], time_series[i])) pad_s = np.hstack((pad_s, boxcar_ones_lb * time_series[i, -1])) #Filter operation is a convolution with the box-car(iterate, #n_iterations times over this operation): for iteration in range(n_iterations): conv_s = np.convolve(pad_s, boxcar_lb) #Extract the low pass signal by excising the central #len(time_series) points: s_lp = conv_s[conv_s.shape[-1] // 2 - int(np.floor(n / 2.)): conv_s.shape[-1] // 2 + int(np.ceil(n / 2.))] #Extract the high pass signal simply by subtracting the high pass #signal from the original signal: time_series[i] = time_series[i] - s_lp + np.mean(s_lp) # add mean #to make sure that there are no negative values. This also seems to #make sure that the mean of the signal (in % signal change) is #close to 0 return time_series.squeeze() nitime-rel-0.8.1/nitime/algorithms/spectral.py000066400000000000000000000622711350450615100214220ustar00rootroot00000000000000""" Spectral transforms are used in order to estimate the frequency-domain representation of time-series. Several methods can be used and this module contains implementations of several algorithms for the calculation of spectral transforms. """ import numpy as np from nitime.lazy import matplotlib_mlab as mlab from nitime.lazy import scipy_linalg as linalg from nitime.lazy import scipy_signal as sig from nitime.lazy import scipy_interpolate as interpolate from nitime.lazy import scipy_fftpack as fftpack import nitime.utils as utils from nitime.utils import tapered_spectra, dpss_windows # To support older versions of numpy that don't have tril_indices: from nitime.index_utils import tril_indices, triu_indices # Set global variables for the default NFFT to be used in spectral analysis and # the overlap: default_nfft = 64 default_n_overlap = int(np.ceil(default_nfft // 2)) def get_spectra(time_series, method=None): r""" Compute the spectra of an n-tuple of time series and all of the pairwise cross-spectra. Parameters ---------- time_series : float array The time-series, where time is the last dimension method : dict, optional contains: this_method:'welch' indicates that :func:`mlab.psd` will be used in order to calculate the psd/csd, in which case, additional optional inputs (and default values) are: NFFT=64 Fs=2pi detrend=mlab.detrend_none window=mlab.window_hanning n_overlap=0 this_method:'periodogram_csd' indicates that :func:`periodogram` will be used in order to calculate the psd/csd, in which case, additional optional inputs (and default values) are: Skx=None Sky=None N=None sides='onesided' normalize=True Fs=2pi this_method:'multi_taper_csd' indicates that :func:`multi_taper_psd` used in order to calculate psd/csd, in which case additional optional inputs (and default values) are: BW=0.01 Fs=2pi sides = 'onesided' Returns ------- f : float array The central frequencies for the frequency bands for which the spectra are estimated fxy : float array A semi-filled matrix with the cross-spectra of the signals. The csd of signal i and signal j is in f[j][i], but not in f[i][j] (which will be filled with zeros). For i=j fxy[i][j] is the psd of signal i. """ if method is None: method = {'this_method': 'welch'} # The default # If no choice of method was explicitly set, but other parameters were # passed, assume that the method is mlab: this_method = method.get('this_method', 'welch') if this_method == 'welch': NFFT = method.get('NFFT', default_nfft) Fs = method.get('Fs', 2 * np.pi) detrend = method.get('detrend', mlab.detrend_none) window = method.get('window', mlab.window_hanning) n_overlap = method.get('n_overlap', int(np.ceil(NFFT // 2))) # The length of the spectrum depends on how many sides are taken, which # depends on whether or not this is a complex object: if np.iscomplexobj(time_series): fxy_len = NFFT else: fxy_len = NFFT // 2 + 1 # If there is only 1 channel in the time-series: if len(time_series.shape) == 1 or time_series.shape[0] == 1: temp, f = mlab.csd(time_series, time_series, NFFT, Fs, detrend, window, n_overlap, scale_by_freq=True) fxy = temp.squeeze() # the output of mlab.csd has a weird shape else: fxy = np.zeros((time_series.shape[0], time_series.shape[0], fxy_len), dtype=complex) # Make sure it's complex for i in range(time_series.shape[0]): for j in range(i, time_series.shape[0]): #Notice funny indexing, in order to conform to the #conventions of the other methods: temp, f = mlab.csd(time_series[j], time_series[i], NFFT, Fs, detrend, window, n_overlap, scale_by_freq=True) fxy[i][j] = temp.squeeze() # the output of mlab.csd has a # weird shape elif this_method in ('multi_taper_csd', 'periodogram_csd'): # these methods should work with similar signatures mdict = method.copy() func = eval(mdict.pop('this_method')) freqs, fxy = func(time_series, **mdict) f = utils.circle_to_hz(freqs, mdict.get('Fs', 2 * np.pi)) else: raise ValueError("Unknown method provided") return f, fxy.squeeze() def get_spectra_bi(x, y, method=None): r""" Computes the spectra of two timeseries and the cross-spectrum between them Parameters ---------- x,y : float arrays Time-series data method : dict, optional See :func:`get_spectra` documentation for details Returns ------- f : float array The central frequencies for the frequency bands for which the spectra are estimated fxx : float array The psd of the first signal fyy : float array The psd of the second signal fxy : float array The cross-spectral density of the two signals """ f, fij = get_spectra(np.vstack((x, y)), method=method) fxx = fij[0, 0].real fyy = fij[1, 1].real fxy = fij[0, 1] return f, fxx, fyy, fxy # The following spectrum estimates are normalized to the convention # adopted by MATLAB (or at least spectrum.psd) # By definition, Sxx(f) = DTFT{Rxx(n)}, where Rxx(n) is the autocovariance # function of x(n). Therefore the integral from # [-Fs/2, Fs/2] of Sxx(f)*df is Rxx(0). # And from the definition of Rxx(n), # Rxx(0) = Expected-Value{x(n)x*(n)} = Expected-Value{ |x|^2 }, # which is estimated as (x*x.conj()).mean() # In other words, sum(Sxx) * Fs / NFFT ~ var(x) def periodogram(s, Fs=2 * np.pi, Sk=None, N=None, sides='default', normalize=True): """Takes an N-point periodogram estimate of the PSD function. The number of points N, or a precomputed FFT Sk may be provided. By default, the PSD function returned is normalized so that the integral of the PSD is equal to the mean squared amplitude (mean energy) of s (see Notes). Parameters ---------- s : ndarray Signal(s) for which to estimate the PSD, time dimension in the last axis Fs : float (optional) The sampling rate. Defaults to 2*pi Sk : ndarray (optional) Precomputed FFT of s N : int (optional) Indicates an N-point FFT where N != s.shape[-1] sides : str (optional) [ 'default' | 'onesided' | 'twosided' ] This determines which sides of the spectrum to return. For complex-valued inputs, the default is two-sided, for real-valued inputs, default is one-sided Indicates whether to return a one-sided or two-sided PSD normalize : boolean (optional, default=True) Normalizes the PSD Returns ------- (f, psd) : tuple f: The central frequencies for the frequency bands PSD estimate for each row of s """ if Sk is not None: N = Sk.shape[-1] else: N = s.shape[-1] if not N else N Sk = fftpack.fft(s, n=N) pshape = list(Sk.shape) # if the time series is a complex vector, a one sided PSD is invalid: if (sides == 'default' and np.iscomplexobj(s)) or sides == 'twosided': sides = 'twosided' elif sides in ('default', 'onesided'): sides = 'onesided' if sides == 'onesided': # putative Nyquist freq Fn = N // 2 + 1 # last duplicate freq Fl = (N + 1) // 2 pshape[-1] = Fn P = np.zeros(pshape, 'd') freqs = np.linspace(0, Fs // 2, Fn) P[..., 0] = (Sk[..., 0] * Sk[..., 0].conj()).real P[..., 1:Fl] = 2 * (Sk[..., 1:Fl] * Sk[..., 1:Fl].conj()).real if Fn > Fl: P[..., Fn - 1] = (Sk[..., Fn - 1] * Sk[..., Fn - 1].conj()).real else: P = (Sk * Sk.conj()).real freqs = np.linspace(0, Fs, N, endpoint=False) if normalize: P /= (Fs * s.shape[-1]) return freqs, P def periodogram_csd(s, Fs=2 * np.pi, Sk=None, NFFT=None, sides='default', normalize=True): """Takes an N-point periodogram estimate of all the cross spectral density functions between rows of s. The number of points N, or a precomputed FFT Sk may be provided. By default, the CSD function returned is normalized so that the integral of the PSD is equal to the mean squared amplitude (mean energy) of s (see Notes). Parameters --------- s : ndarray Signals for which to estimate the CSD, time dimension in the last axis Fs : float (optional) The sampling rate. Defaults to 2*pi Sk : ndarray (optional) Precomputed FFT of rows of s NFFT : int (optional) Indicates an N-point FFT where N != s.shape[-1] sides : str (optional) [ 'default' | 'onesided' | 'twosided' ] This determines which sides of the spectrum to return. For complex-valued inputs, the default is two-sided, for real-valued inputs, default is one-sided Indicates whether to return a one-sided or two-sided normalize : boolean (optional) Normalizes the PSD Returns ------- freqs, csd_est : ndarrays The estimated CSD and the frequency points vector. The CSD{i,j}(f) are returned in a square "matrix" of vectors holding Sij(f). For an input array that is reshaped to (M,N), the output is (M,M,N) """ s_shape = s.shape s.shape = (-1, s_shape[-1]) # defining an Sk_loc is a little opaque, but it avoids having to # reset the shape of any user-given Sk later on if Sk is not None: Sk_shape = Sk.shape N = Sk.shape[-1] Sk_loc = Sk.reshape(np.prod(Sk_shape[:-1]), N) else: if NFFT is not None: N = NFFT else: N = s.shape[-1] Sk_loc = fftpack.fft(s, n=N) # reset s.shape s.shape = s_shape M = Sk_loc.shape[0] # if the time series is a complex vector, a one sided PSD is invalid: if (sides == 'default' and np.iscomplexobj(s)) or sides == 'twosided': sides = 'twosided' elif sides in ('default', 'onesided'): sides = 'onesided' if sides == 'onesided': # putative Nyquist freq Fn = N // 2 + 1 # last duplicate freq Fl = (N + 1) // 2 csd_pairs = np.zeros((M, M, Fn), 'D') freqs = np.linspace(0, Fs / 2, Fn) for i in range(M): for j in range(i + 1): csd_pairs[i, j, 0] = Sk_loc[i, 0] * Sk_loc[j, 0].conj() csd_pairs[i, j, 1:Fl] = 2 * (Sk_loc[i, 1:Fl] * Sk_loc[j, 1:Fl].conj()) if Fn > Fl: csd_pairs[i, j, Fn - 1] = (Sk_loc[i, Fn - 1] * Sk_loc[j, Fn - 1].conj()) else: csd_pairs = np.zeros((M, M, N), 'D') freqs = np.linspace(0, Fs / 2, N, endpoint=False) for i in range(M): for j in range(i + 1): csd_pairs[i, j] = Sk_loc[i] * Sk_loc[j].conj() if normalize: csd_pairs /= (Fs*N) csd_mat = csd_pairs.transpose(1,0,2).conj() csd_mat += csd_pairs diag_idc = (np.arange(M), np.arange(M)) csd_mat[diag_idc] /= 2 return freqs, csd_mat def mtm_cross_spectrum(tx, ty, weights, sides='twosided'): r""" The cross-spectrum between two tapered time-series, derived from a multi-taper spectral estimation. Parameters ---------- tx, ty : ndarray (K, ..., N) The complex DFTs of the tapered sequence weights : ndarray, or 2-tuple or list Weights can be specified as a length-2 list of weights for spectra tx and ty respectively. Alternatively, if tx is ty and this function is computing the spectral density function of a single sequence, the weights can be given as an ndarray of weights for the spectrum. Weights may be * scalars, if the shape of the array is (K, ..., 1) * vectors, with the shape of the array being the same as tx or ty sides : str in {'onesided', 'twosided'} For the symmetric spectra of a real sequence, optionally combine half of the frequencies and scale the duplicate frequencies in the range (0, F_nyquist). Notes ----- spectral densities are always computed as :math:`S_{xy}^{mt}(f) = \frac{\sum_k [d_k^x(f)s_k^x(f)][d_k^y(f)(s_k^y(f))^{*}]}{[\sum_k d_k^x(f)^2]^{\frac{1}{2}}[\sum_k d_k^y(f)^2]^{\frac{1}{2}}}` """ N = tx.shape[-1] if ty.shape != tx.shape: raise ValueError('shape mismatch between tx, ty') # pshape = list(tx.shape) if isinstance(weights, (list, tuple)): autospectrum = False weights_x = weights[0] weights_y = weights[1] denom = (np.abs(weights_x) ** 2).sum(axis=0) ** 0.5 denom *= (np.abs(weights_y) ** 2).sum(axis=0) ** 0.5 else: autospectrum = True weights_x = weights weights_y = weights denom = (np.abs(weights) ** 2).sum(axis=0) if sides == 'onesided': # where the nyq freq should be Fn = N // 2 + 1 truncated_slice = [slice(None)] * len(tx.shape) truncated_slice[-1] = slice(0, Fn) tsl = tuple(truncated_slice) tx = tx[tsl] ty = ty[tsl] # if weights.shape[-1] > 1 then make sure weights are truncated too if weights_x.shape[-1] > 1: weights_x = weights_x[tsl] weights_y = weights_y[tsl] denom = denom[tsl[1:]] sf = weights_x * tx sf *= (weights_y * ty).conj() sf = sf.sum(axis=0) sf /= denom if sides == 'onesided': # dbl power at duplicated freqs Fl = (N + 1) // 2 sub_slice = [slice(None)] * len(sf.shape) sub_slice[-1] = slice(1, Fl) sf[tuple(sub_slice)] *= 2 if autospectrum: return sf.real return sf def multi_taper_psd( s, Fs=2 * np.pi, NW=None, BW=None, adaptive=False, jackknife=True, low_bias=True, sides='default', NFFT=None ): """Returns an estimate of the PSD function of s using the multitaper method. If the NW product, or the BW and Fs in Hz are not specified by the user, a bandwidth of 4 times the fundamental frequency, corresponding to NW = 4 will be used. Parameters ---------- s : ndarray An array of sampled random processes, where the time axis is assumed to be on the last axis Fs : float Sampling rate of the signal NW : float The normalized half-bandwidth of the data tapers, indicating a multiple of the fundamental frequency of the DFT (Fs/N). Common choices are n/2, for n >= 4. This parameter is unitless and more MATLAB compatible. As an alternative, set the BW parameter in Hz. See Notes on bandwidth. BW : float The sampling-relative bandwidth of the data tapers, in Hz. adaptive : {True/False} Use an adaptive weighting routine to combine the PSD estimates of different tapers. jackknife : {True/False} Use the jackknife method to make an estimate of the PSD variance at each point. low_bias : {True/False} Rather than use 2NW tapers, only use the tapers that have better than 90% spectral concentration within the bandwidth (still using a maximum of 2NW tapers) sides : str (optional) [ 'default' | 'onesided' | 'twosided' ] This determines which sides of the spectrum to return. For complex-valued inputs, the default is two-sided, for real-valued inputs, default is one-sided Indicates whether to return a one-sided or two-sided Returns ------- (freqs, psd_est, var_or_nu) : ndarrays The first two arrays are the frequency points vector and the estimated PSD. The last returned array differs depending on whether the jackknife was used. It is either * The jackknife estimated variance of the log-psd, OR * The degrees of freedom in a chi2 model of how the estimated PSD is distributed about the true log-PSD (this is either 2*floor(2*NW), or calculated from adaptive weights) Notes ----- The bandwidth of the windowing function will determine the number tapers to use. This parameters represents trade-off between frequency resolution (lower main lobe BW for the taper) and variance reduction (higher BW and number of averaged estimates). Typically, the number of tapers is calculated as 2x the bandwidth-to-fundamental-frequency ratio, as these eigenfunctions have the best energy concentration. """ # have last axis be time series for now N = s.shape[-1] M = int(np.product(s.shape[:-1])) if BW is not None: # BW wins in a contest (since it was the original implementation) norm_BW = np.round(BW * N / Fs) NW = norm_BW / 2.0 elif NW is None: # default NW NW = 4 # (else BW is None and NW is not None) ... all set Kmax = int(2 * NW) # if the time series is a complex vector, a one sided PSD is invalid: if (sides == 'default' and np.iscomplexobj(s)) or sides == 'twosided': sides = 'twosided' elif sides in ('default', 'onesided'): sides = 'onesided' # Find the direct spectral estimators S_k(f) for k tapered signals.. # don't normalize the periodograms by 1/N as normal.. since the taper # windows are orthonormal, they effectively scale the signal by 1/N spectra, eigvals = tapered_spectra( s, (NW, Kmax), NFFT=NFFT, low_bias=low_bias ) NFFT = spectra.shape[-1] K = len(eigvals) # collapse spectra's shape back down to 3 dimensions spectra.shape = (M, K, NFFT) last_freq = NFFT // 2 + 1 if sides == 'onesided' else NFFT # degrees of freedom at each timeseries, at each freq nu = np.empty((M, last_freq)) if adaptive: weights = np.empty((M, K, last_freq)) for i in range(M): weights[i], nu[i] = utils.adaptive_weights( spectra[i], eigvals, sides=sides ) else: # let the weights simply be the square-root of the eigenvalues. # repeat these values across all n_chan channels of data weights = np.tile(np.sqrt(eigvals), M).reshape(M, K, 1) nu.fill(2 * K) if jackknife: jk_var = np.empty_like(nu) for i in range(M): jk_var[i] = utils.jackknifed_sdf_variance( spectra[i], eigvals, sides=sides, adaptive=adaptive ) # Compute the unbiased spectral estimator for S(f) as the sum of # the S_k(f) weighted by the function w_k(f)**2, all divided by the # sum of the w_k(f)**2 over k # 1st, roll the tapers axis forward spectra = np.rollaxis(spectra, 1, start=0) weights = np.rollaxis(weights, 1, start=0) sdf_est = mtm_cross_spectrum( spectra, spectra, weights, sides=sides ) sdf_est /= Fs if sides == 'onesided': freqs = np.linspace(0, Fs / 2, NFFT // 2 + 1) else: freqs = np.linspace(0, Fs, NFFT, endpoint=False) out_shape = s.shape[:-1] + (len(freqs),) sdf_est.shape = out_shape if jackknife: jk_var.shape = out_shape return freqs, sdf_est, jk_var else: nu.shape = out_shape return freqs, sdf_est, nu def multi_taper_csd(s, Fs=2 * np.pi, NW=None, BW=None, low_bias=True, adaptive=False, sides='default', NFFT=None): """Returns an estimate of the Cross Spectral Density (CSD) function between all (N choose 2) pairs of timeseries in s, using the multitaper method. If the NW product, or the BW and Fs in Hz are not specified by the user, a bandwidth of 4 times the fundamental frequency, corresponding to NW = 4 will be used. Parameters ---------- s : ndarray An array of sampled random processes, where the time axis is assumed to be on the last axis. If ndim > 2, the number of time series to compare will still be taken as prod(s.shape[:-1]) Fs : float, Sampling rate of the signal NW : float The normalized half-bandwidth of the data tapers, indicating a multiple of the fundamental frequency of the DFT (Fs/N). Common choices are n/2, for n >= 4. This parameter is unitless and more MATLAB compatible. As an alternative, set the BW parameter in Hz. See Notes on bandwidth. BW : float The sampling-relative bandwidth of the data tapers, in Hz. adaptive : {True, False} Use adaptive weighting to combine spectra low_bias : {True, False} Rather than use 2NW tapers, only use the tapers that have better than 90% spectral concentration within the bandwidth (still using a maximum of 2NW tapers) sides : str (optional) [ 'default' | 'onesided' | 'twosided' ] This determines which sides of the spectrum to return. For complex-valued inputs, the default is two-sided, for real-valued inputs, default is one-sided Indicates whether to return a one-sided or two-sided Returns ------- (freqs, csd_est) : ndarrays The estimatated CSD and the frequency points vector. The CSD{i,j}(f) are returned in a square "matrix" of vectors holding Sij(f). For an input array of (M,N), the output is (M,M,N) Notes ----- The bandwidth of the windowing function will determine the number tapers to use. This parameters represents trade-off between frequency resolution (lower main lobe BW for the taper) and variance reduction (higher BW and number of averaged estimates). Typically, the number of tapers is calculated as 2x the bandwidth-to-fundamental-frequency ratio, as these eigenfunctions have the best energy concentration. """ # have last axis be time series for now N = s.shape[-1] M = int(np.product(s.shape[:-1])) if BW is not None: # BW wins in a contest (since it was the original implementation) norm_BW = np.round(BW * N / Fs) NW = norm_BW / 2.0 elif NW is None: # default NW NW = 4 # (else BW is None and NW is not None) ... all set Kmax = int(2 * NW) # if the time series is a complex vector, a one sided PSD is invalid: if (sides == 'default' and np.iscomplexobj(s)) or sides == 'twosided': sides = 'twosided' elif sides in ('default', 'onesided'): sides = 'onesided' # Find the direct spectral estimators S_k(f) for k tapered signals.. # don't normalize the periodograms by 1/N as normal.. since the taper # windows are orthonormal, they effectively scale the signal by 1/N spectra, eigvals = tapered_spectra( s, (NW, Kmax), NFFT=NFFT, low_bias=low_bias ) NFFT = spectra.shape[-1] K = len(eigvals) # collapse spectra's shape back down to 3 dimensions spectra.shape = (M, K, NFFT) # compute the cross-spectral density functions last_freq = NFFT // 2 + 1 if sides == 'onesided' else NFFT if adaptive: w = np.empty((M, K, last_freq)) nu = np.empty((M, last_freq)) for i in range(M): w[i], nu[i] = utils.adaptive_weights( spectra[i], eigvals, sides=sides ) else: weights = np.sqrt(eigvals).reshape(K, 1) csd_pairs = np.zeros((M, M, last_freq), 'D') for i in range(M): if adaptive: wi = w[i] else: wi = weights for j in range(i + 1): if adaptive: wj = w[j] else: wj = weights ti = spectra[i] tj = spectra[j] csd_pairs[i, j] = mtm_cross_spectrum(ti, tj, (wi, wj), sides=sides) csdfs = csd_pairs.transpose(1,0,2).conj() csdfs += csd_pairs diag_idc = (np.arange(M), np.arange(M)) csdfs[diag_idc] /= 2 csdfs /= Fs if sides == 'onesided': freqs = np.linspace(0, Fs / 2, NFFT // 2 + 1) else: freqs = np.linspace(0, Fs, NFFT, endpoint=False) return freqs, csdfs def freq_response(b, a=1., n_freqs=1024, sides='onesided'): """ Returns the frequency response of the IIR or FIR filter described by beta and alpha coefficients. Parameters ---------- b : beta sequence (moving average component) a : alpha sequence (autoregressive component) n_freqs : size of frequency grid sides : {'onesided', 'twosided'} compute frequencies between [-PI,PI), or from [0, PI] Returns ------- fgrid, H(e^jw) Notes ----- For a description of the linear constant-coefficient difference equation, see http://en.wikipedia.org/wiki/Z-transform """ # transitioning to scipy freqz real_n = n_freqs // 2 + 1 if sides == 'onesided' else n_freqs return sig.freqz(b, a=a, worN=real_n, whole=sides != 'onesided') nitime-rel-0.8.1/nitime/algorithms/tests/000077500000000000000000000000001350450615100203655ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/algorithms/tests/__init__.py000066400000000000000000000000001350450615100224640ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/algorithms/tests/test_autoregressive.py000066400000000000000000000154211350450615100250500ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime.algorithms as tsa import nitime.utils as utils # Set the random seed: np.random.seed(1) def _random_poles(half_poles=3): poles_rp = np.random.rand(half_poles * 20) poles_ip = np.random.rand(half_poles * 20) # get real/imag parts of some poles such that magnitudes bounded # away from 1 stable_pole_idx = np.where(poles_rp ** 2 + poles_ip ** 2 < .75 ** 2)[0] # keep 3 of these, and supplement with complex conjugate stable_poles = poles_rp[stable_pole_idx[:half_poles]] + \ 1j * poles_ip[stable_pole_idx[:half_poles]] stable_poles = np.r_[stable_poles, stable_poles.conj()] # we have the roots, now find the polynomial ak = np.poly(stable_poles) return ak def test_AR_est_consistency(): order = 10 # some even number ak = _random_poles(order // 2) x, v, _ = utils.ar_generator(N=512, coefs=-ak[1:], drop_transients=100) ak_yw, ssq_yw = tsa.AR_est_YW(x, order) ak_ld, ssq_ld = tsa.AR_est_LD(x, order) npt.assert_almost_equal(ak_yw, ak_ld) npt.assert_almost_equal(ssq_yw, ssq_ld) def test_AR_YW(): arsig, _, _ = utils.ar_generator(N=512) avg_pwr = (arsig * arsig.conjugate()).mean() order = 8 ak, sigma_v = tsa.AR_est_YW(arsig, order) w, psd = tsa.AR_psd(ak, sigma_v) # the psd is a one-sided power spectral density, which has been # multiplied by 2 to preserve the property that # 1/2pi int_{-pi}^{pi} Sxx(w) dw = Rxx(0) # evaluate this integral numerically from 0 to pi dw = np.pi / len(psd) avg_pwr_est = np.trapz(psd, dx=dw) / (2 * np.pi) # consistency on the order of 10**0 is pretty good for this test npt.assert_almost_equal(avg_pwr, avg_pwr_est, decimal=0) # Test for providing the autocovariance as an input: ak, sigma_v = tsa.AR_est_YW(arsig, order, utils.autocov(arsig)) w, psd = tsa.AR_psd(ak, sigma_v) avg_pwr_est = np.trapz(psd, dx=dw) / (2 * np.pi) npt.assert_almost_equal(avg_pwr, avg_pwr_est, decimal=0) def test_AR_LD(): """ Test the Levinson Durbin estimate of the AR coefficients against the expercted PSD """ arsig, _, _ = utils.ar_generator(N=512) avg_pwr = (arsig * arsig.conjugate()).real.mean() order = 8 ak, sigma_v = tsa.AR_est_LD(arsig, order) w, psd = tsa.AR_psd(ak, sigma_v) # the psd is a one-sided power spectral density, which has been # multiplied by 2 to preserve the property that # 1/2pi int_{-pi}^{pi} Sxx(w) dw = Rxx(0) # evaluate this integral numerically from 0 to pi dw = np.pi / len(psd) avg_pwr_est = np.trapz(psd, dx=dw) / (2 * np.pi) npt.assert_almost_equal(avg_pwr, avg_pwr_est, decimal=0) # Test for providing the autocovariance as an input: ak, sigma_v = tsa.AR_est_LD(arsig, order, utils.autocov(arsig)) w, psd = tsa.AR_psd(ak, sigma_v) avg_pwr_est = np.trapz(psd, dx=dw) / (2 * np.pi) npt.assert_almost_equal(avg_pwr, avg_pwr_est, decimal=0) def test_MAR_est_LWR(): """ Test the LWR MAR estimator against the power of the signal This also tests the functions: transfer_function_xy, spectral_matrix_xy, coherence_from_spectral and granger_causality_xy """ # This is the same processes as those in doc/examples/ar_est_2vars.py: a1 = np.array([[0.9, 0], [0.16, 0.8]]) a2 = np.array([[-0.5, 0], [-0.2, -0.5]]) am = np.array([-a1, -a2]) x_var = 1 y_var = 0.7 xy_cov = 0.4 cov = np.array([[x_var, xy_cov], [xy_cov, y_var]]) n_freqs = 1024 w, Hw = tsa.transfer_function_xy(am, n_freqs=n_freqs) Sw = tsa.spectral_matrix_xy(Hw, cov) # This many realizations of the process: N = 500 # Each one this long L = 1024 order = am.shape[0] n_lags = order + 1 n_process = am.shape[-1] z = np.empty((N, n_process, L)) nz = np.empty((N, n_process, L)) for i in range(N): z[i], nz[i] = utils.generate_mar(am, cov, L) a_est = [] cov_est = [] # This loop runs MAR_est_LWR: for i in range(N): Rxx = (tsa.MAR_est_LWR(z[i], order=n_lags)) a_est.append(Rxx[0]) cov_est.append(Rxx[1]) a_est = np.mean(a_est, 0) cov_est = np.mean(cov_est, 0) # This tests transfer_function_xy and spectral_matrix_xy: w, Hw_est = tsa.transfer_function_xy(a_est, n_freqs=n_freqs) Sw_est = tsa.spectral_matrix_xy(Hw_est, cov_est) # coherence_from_spectral: c = tsa.coherence_from_spectral(Sw) c_est = tsa.coherence_from_spectral(Sw_est) # granger_causality_xy: w, f_x2y, f_y2x, f_xy, Sw = tsa.granger_causality_xy(am, cov, n_freqs=n_freqs) w, f_x2y_est, f_y2x_est, f_xy_est, Sw_est = tsa.granger_causality_xy(a_est, cov_est, n_freqs=n_freqs) # interdependence_xy i_xy = tsa.interdependence_xy(Sw) i_xy_est = tsa.interdependence_xy(Sw_est) # This is all very approximate: npt.assert_almost_equal(Hw, Hw_est, decimal=1) npt.assert_almost_equal(Sw, Sw_est, decimal=1) npt.assert_almost_equal(c, c_est, 1) npt.assert_almost_equal(f_xy, f_xy_est, 1) npt.assert_almost_equal(f_x2y, f_x2y_est, 1) npt.assert_almost_equal(f_y2x, f_y2x_est, 1) npt.assert_almost_equal(i_xy, i_xy_est, 1) def test_lwr(): "test solution of lwr recursion" for trial in range(3): nc = np.random.randint(2, high=10) P = np.random.randint(2, high=6) # nc is channels, P is lags (order) r = np.random.randn(P + 1, nc, nc) r[0] = np.dot(r[0], r[0].T) # force r0 to be symmetric a, Va = tsa.lwr_recursion(r) # Verify the "orthogonality" principle of the mAR system # Set up a system in blocks to compute, for each k # sum_{i=1}^{P} A(i)R(k-i) = -R(k) k > 0 # = sum_{i=1}^{P} R(k-i)^T A(i)^T = -R(k)^T # = sum_{i=1}^{P} R(i-k)A(i)^T = -R(k)^T rmat = np.zeros((nc * P, nc * P)) for k in range(1, P + 1): for i in range(1, P + 1): im = i - k if im < 0: r1 = r[-im].T else: r1 = r[im] rmat[(k - 1) * nc:k * nc, (i - 1) * nc:i * nc] = r1 rvec = np.zeros((nc * P, nc)) avec = np.zeros((nc * P, nc)) for m in range(P): rvec[m * nc:(m + 1) * nc] = -r[m + 1].T avec[m * nc:(m + 1) * nc] = a[m].T l2_d = np.dot(rmat, avec) - rvec l2_d = (l2_d ** 2).sum() ** 0.5 l2_r = (rvec ** 2).sum() ** 0.5 # compute |Ax-b| / |b| metric npt.assert_almost_equal(l2_d / l2_r, 0, decimal=5) nitime-rel-0.8.1/nitime/algorithms/tests/test_coherence.py000066400000000000000000000311651350450615100237370ustar00rootroot00000000000000""" Tests of functions under algorithms.coherence """ import os import warnings import numpy as np import numpy.testing as npt from scipy.signal import signaltools import pytest import matplotlib import matplotlib.mlab as mlab has_mpl = True # Matplotlib older than 0.99 will have some issues with the normalization # of t: if float(matplotlib.__version__[:3]) < 0.99: w_s = "You have a relatively old version of Matplotlib. " w_s += " Estimation of the PSD DC component might not be as expected." w_s +=" Consider updating Matplotlib: http://matplotlib.sourceforge.net/" warnings.warn(w_s, Warning) old_mpl = True else: old_mpl = False from scipy import fftpack import nitime import nitime.algorithms as tsa import nitime.utils as utils #Define globally test_dir_path = os.path.join(nitime.__path__[0], 'tests') # Define these once globally: t = np.linspace(0, 16 * np.pi, 1024) x = np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + np.random.rand(t.shape[-1]) y = x + np.random.rand(t.shape[-1]) tseries = np.vstack([x, y]) methods = [None, {"this_method": 'multi_taper_csd', "Fs": 2 * np.pi}, {"this_method": 'periodogram_csd', "Fs": 2 * np.pi, "NFFT": 256}] if has_mpl: methods.append({"this_method": 'welch', "NFFT": 256, "Fs": 2 * np.pi, "window": mlab.window_hanning(np.ones(256))}) methods.append({"this_method": 'welch', "NFFT": 256, "Fs": 2 * np.pi}) def test_coherency(): """ Tests that the coherency algorithm runs smoothly, using the different csd routines, that the resulting matrix is symmetric and for the welch method, that the frequency bands in the output make sense """ for method in methods: f, c = tsa.coherency(tseries, csd_method=method) npt.assert_array_almost_equal(c[0, 1], c[1, 0].conjugate()) npt.assert_array_almost_equal(c[0, 0], np.ones(f.shape)) if method is not None and method['this_method'] != "multi_taper_csd": f_theoretical = utils.get_freqs(method['Fs'], method['NFFT']) npt.assert_array_almost_equal(f, f_theoretical) def test_coherence(): """ Tests that the coherency algorithm runs smoothly, using the different csd routines and that the result is symmetrical: """ for method in methods: f, c = tsa.coherence(tseries, csd_method=method) npt.assert_array_almost_equal(c[0, 1], c[1, 0]) npt.assert_array_almost_equal(c[0, 0], np.ones(f.shape)) def test_coherency_regularized(): """ Tests that the regularized coherency algorithm runs smoothly, using the different csd routines and that the result is symmetrical: """ for method in methods: f, c = tsa.coherency_regularized(tseries, 0.05, 1000, csd_method=method) npt.assert_array_almost_equal(c[0, 1], c[1, 0].conjugate()) def test_coherence_regularized(): """ Tests that the regularized coherence algorithm runs smoothly, using the different csd routines and that the result is symmetrical: """ for method in methods: f, c = tsa.coherence_regularized(tseries, 0.05, 1000, csd_method=method) npt.assert_array_almost_equal(c[0, 1], c[1, 0]) # Define as global for the following functions: def test_coherency_bavg(): ub = [np.pi / 2, None] lb = [0, 0.2] for method in methods: for this_lb in lb: for this_ub in ub: c = tsa.coherency_bavg(tseries, lb=this_lb, ub=this_ub, csd_method=method) #Test that this gets rid of the frequency axis: npt.assert_equal(len(c.shape), 2) # And that the result is equal npt.assert_almost_equal(c[0, 1], c[1, 0].conjugate()) def test_coherence_bavg(): ub = [np.pi / 2, None] lb = [0, 0.2] for method in methods: for this_lb in lb: for this_ub in ub: c = tsa.coherence_bavg(tseries, lb=this_lb, ub=this_ub, csd_method=method) #Test that this gets rid of the frequency axis: npt.assert_equal(len(c.shape), 2) # And that the result is equal npt.assert_almost_equal(c[0, 1], c[1, 0].conjugate()) # XXX FIXME: This doesn't work for the periodogram method: def test_coherence_partial(): """ Test partial coherence""" x = np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + np.random.rand(t.shape[-1]) y = x + np.random.rand(t.shape[-1]) z = y + np.random.rand(t.shape[-1]) for method in methods: if (method is None) or method['this_method'] == 'welch': f, c = tsa.coherence_partial(np.vstack([x, y]), z, csd_method=method) npt.assert_array_almost_equal(c[0, 1], c[1, 0].conjugate()) def test_coherence_phase_delay(): """ Test the phase spectrum calculation """ # Set up two time-series with a known phase delay: nz = np.random.rand(t.shape[-1]) x = np.sin(t) + nz y = np.sin(t + np.pi) + nz tseries = np.vstack([x, y]) for method in methods: f1, pdelay = tsa.coherency_phase_spectrum(tseries, csd_method=method) f2, tdelay = tsa.coherency_phase_delay(tseries, csd_method=method) npt.assert_almost_equal(pdelay[0, 1], -pdelay[1, 0]) npt.assert_almost_equal(tdelay[0, 1], -tdelay[1, 0]) # This is the relationship between these two quantities: npt.assert_almost_equal(tdelay[0, 1], pdelay[0, 1][1:] / (2 * np.pi * f2)) def test_coherency_cached(): """Tests that the cached coherency gives the same result as the standard coherency""" f1, c1 = tsa.coherency(tseries) ij = [(0, 1), (1, 0)] f2, cache = tsa.cache_fft(tseries, ij) c2 = tsa.cache_to_coherency(cache, ij) npt.assert_array_almost_equal(c1[1, 0], c2[1, 0]) npt.assert_array_almost_equal(c1[0, 1], c2[0, 1]) def test_correlation_spectrum(): """ Test the correlation spectrum method """ # Smoke-test for now - unclear what to test here... f, c = tsa.correlation_spectrum(x, y, norm=True) # XXX FIXME: http://github.com/nipy/nitime/issues/issue/1 @pytest.mark.skipif(True, reason="http://github.com/nipy/nitime/issues/issue/1") def test_coherence_linear_dependence(): """ Tests that the coherence between two linearly dependent time-series behaves as expected. From William Wei's book, according to eq. 14.5.34, if two time-series are linearly related through: y(t) = alpha*x(t+time_shift) then the coherence between them should be equal to: .. :math: C(\nu) = \frac{1}{1+\frac{fft_{noise}(\nu)}{fft_{x}(\nu) \cdot \alpha^2}} """ t = np.linspace(0, 16 * np.pi, 2 ** 14) x = (np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + 0.1 * np.random.rand(t.shape[-1])) N = x.shape[-1] alpha = 10 m = 3 noise = 0.1 * np.random.randn(t.shape[-1]) y = alpha * np.roll(x, m) + noise f_noise = fftpack.fft(noise)[0:N // 2] f_x = fftpack.fft(x)[0:N // 2] c_t = (1 / (1 + (f_noise / (f_x * (alpha ** 2))))) method = {"this_method": 'welch', "NFFT": 2048, "Fs": 2 * np.pi} f, c = tsa.coherence(np.vstack([x, y]), csd_method=method) c_t = np.abs(signaltools.resample(c_t, c.shape[-1])) npt.assert_array_almost_equal(c[0, 1], c_t, 2) def test_coherence_matlab(): """ Test against coherence values calculated with matlab's mscohere""" ts = np.loadtxt(os.path.join(test_dir_path, 'tseries12.txt')) ts0 = ts[1] ts1 = ts[0] method = {} method['this_method'] = 'welch' method['NFFT'] = 64 method['Fs'] = 1.0 method['noverlap'] = method['NFFT'] // 2 ttt = np.vstack([ts0, ts1]) f, cxy_mlab = tsa.coherence(ttt, csd_method=method) cxy_matlab = np.loadtxt(os.path.join(test_dir_path, 'cxy_matlab.txt')) npt.assert_almost_equal(cxy_mlab[0][1], cxy_matlab, decimal=5) @pytest.mark.skipif(old_mpl, reason="MPL version before 0.99") def test_cached_coherence(): """Testing the cached coherence functions """ NFFT = 64 # This is the default behavior n_freqs = NFFT // 2 + 1 ij = [(0, 1), (1, 0)] ts = np.loadtxt(os.path.join(test_dir_path, 'tseries12.txt')) freqs, cache = tsa.cache_fft(ts, ij) # Are the frequencies the right ones? npt.assert_equal(freqs, utils.get_freqs(2 * np.pi, NFFT)) # Check that the fft of the first window is what we expect: hann = mlab.window_hanning(np.ones(NFFT)) w_ts = ts[0][:NFFT] * hann w_ft = fftpack.fft(w_ts)[0:n_freqs] # This is the result of the function: first_window_fft = cache['FFT_slices'][0][0] npt.assert_equal(w_ft, first_window_fft) coh_cached = tsa.cache_to_coherency(cache, ij)[0, 1] f, c = tsa.coherency(ts) coh_direct = c[0, 1] npt.assert_almost_equal(coh_direct, coh_cached) # Only welch PSD works and an error is thrown otherwise. This tests that # the error is thrown: with pytest.raises(ValueError) as e_info: tsa.cache_fft(ts, ij, method=methods[2]) # Take the method in which the window is defined on input: freqs, cache1 = tsa.cache_fft(ts, ij, method=methods[3]) # And compare it to the method in which it isn't: freqs, cache2 = tsa.cache_fft(ts, ij, method=methods[4]) npt.assert_equal(cache1, cache2) # Do the same, while setting scale_by_freq to False: freqs, cache1 = tsa.cache_fft(ts, ij, method=methods[3], scale_by_freq=False) freqs, cache2 = tsa.cache_fft(ts, ij, method=methods[4], scale_by_freq=False) npt.assert_equal(cache1, cache2) # Test cache_to_psd: psd1 = tsa.cache_to_psd(cache, ij)[0] # Against the standard get_spectra: f, c = tsa.get_spectra(ts) psd2 = c[0][0] npt.assert_almost_equal(psd1, psd2) # Test that prefer_speed_over_memory doesn't change anything: freqs, cache1 = tsa.cache_fft(ts, ij) freqs, cache2 = tsa.cache_fft(ts, ij, prefer_speed_over_memory=True) psd1 = tsa.cache_to_psd(cache1, ij)[0] psd2 = tsa.cache_to_psd(cache2, ij)[0] npt.assert_almost_equal(psd1, psd2) # XXX This is not testing anything substantial for now - I am not sure what to # test here... def test_cache_to_phase(): """ Test phase calculations from cached windowed FFT """ ij = [(0, 1), (1, 0)] x = np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + np.random.rand(t.shape[-1]) y = np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + np.random.rand(t.shape[-1]) ts = np.vstack([x, y]) freqs, cache = tsa.cache_fft(ts, ij) ph = tsa.cache_to_phase(cache, ij) def test_cache_to_coherency(): """ Test cache_to_coherency against the standard coherency calculation """ ij = [(0, 1), (1, 0)] ts = np.loadtxt(os.path.join(test_dir_path, 'tseries12.txt')) freqs, cache = tsa.cache_fft(ts, ij) Cxy = tsa.cache_to_coherency(cache, ij) f, c = tsa.coherency(ts) npt.assert_almost_equal(Cxy[0][1], c[0, 1]) # Check that it doesn't matter if you prefer_speed_over_memory: freqs, cache2 = tsa.cache_fft(ts, ij, prefer_speed_over_memory=True) Cxy2 = tsa.cache_to_coherency(cache2, ij) npt.assert_equal(Cxy2, Cxy) # XXX Calculating the angle of the averaged psd and calculating the average # of the angles calculated over different windows does not yield exactly # the same number, because the angle is not a linear functions (arctan), # so it is unclear how to test this, but we make sure that it runs, # whether or not you prefer_speed_over_memory: freqs, cache = tsa.cache_fft(ts, ij) tsa.cache_to_relative_phase(cache, ij) freqs, cache = tsa.cache_fft(ts, ij, prefer_speed_over_memory=True) tsa.cache_to_relative_phase(cache, ij) # Check that things run alright, even if there is just one window for the # entire ts: freqs, cache = tsa.cache_fft(ts, ij, method=dict(this_method='welch', NFFT=ts.shape[-1], n_overlap=0)) cxy_one_window = tsa.cache_to_coherency(cache, ij) ph_one_window = tsa.cache_to_relative_phase(cache, ij) # And whether or not you prefer_speed_over_memory freqs, cache = tsa.cache_fft(ts, ij, method=dict(this_method='welch', NFFT=ts.shape[-1], n_overlap=0), prefer_speed_over_memory=True) cxy_one_window = tsa.cache_to_coherency(cache, ij) ph_one_window = tsa.cache_to_relative_phase(cache, ij) nitime-rel-0.8.1/nitime/algorithms/tests/test_correlation.py000066400000000000000000000005571350450615100243260ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime.algorithms as tsa def test_seed_correlation(): seed = np.random.rand(10) targ = np.random.rand(10, 10) our_coef_array = tsa.seed_corrcoef(seed, targ) np_coef_array = np.array([np.corrcoef(seed, a)[0, 1] for a in targ]) npt.assert_array_almost_equal(our_coef_array, np_coef_array) nitime-rel-0.8.1/nitime/algorithms/tests/test_entropy.py000066400000000000000000000026271350450615100235050ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime.algorithms as tsa np.random.seed(1945) def test_entropy(): x = np.random.randint(0, 2, size=1000) e1 = tsa.entropy(x) npt.assert_almost_equal(e1, 1, decimal=2) # The joint entropy of the variable with itself is the same: e2 = tsa.entropy(x, x) npt.assert_almost_equal(e1, e2) y = np.random.randint(0, 2, size=1000) # Joint entropy with another random variable is 2: e3 = tsa.entropy(x, y) npt.assert_almost_equal(e3, 2, decimal=2) def test_conditional_entropy(): x = np.random.randint(0, 2, size=1000) y = np.random.randint(0, 2, size=1000) e1 = tsa.conditional_entropy(x, x) npt.assert_almost_equal(e1, 0) e2 = tsa.conditional_entropy(x, y) npt.assert_almost_equal(e2, 1, decimal=2) def test_mutual_information(): x = np.random.randint(0, 2, size=1000) y = np.random.randint(0, 2, size=1000) e1 = tsa.mutual_information(x, x) npt.assert_almost_equal(e1, 1, decimal=2) e2 = tsa.mutual_information(x, y) npt.assert_almost_equal(e2, 0, decimal=2) def test_entropy_cc(): x = np.random.randint(0, 2, size=1000) e1 = tsa.entropy_cc(x, x) npt.assert_almost_equal(e1, 1, decimal=2) def test_transfer_entropy(): x = np.random.randint(0, 4, size=1000) y = np.roll(x, -1) e1 = tsa.transfer_entropy(x, y, lag=1) npt.assert_almost_equal(e1, 2, decimal=1) nitime-rel-0.8.1/nitime/algorithms/tests/test_event_related.py000066400000000000000000000013041350450615100246150ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime import nitime.algorithms as tsa def test_xcorr_zscored(): """ Test this function, which is not otherwise tested in the testing of the EventRelatedAnalyzer """ cycles = 10 l = 1024 unit = 2 * np.pi / l t = np.arange(0, 2 * np.pi + unit, unit) signal = np.sin(cycles * t) events = np.zeros(t.shape) #Zero crossings: idx = np.where(np.abs(signal) < 0.03)[0] #An event occurs at the beginning of every cycle: events[idx[:-2:2]] = 1 a = tsa.freq_domain_xcorr_zscored(signal, events, 1000, 1000) npt.assert_almost_equal(np.mean(a), 0, 1) npt.assert_almost_equal(np.std(a), 1, 1) nitime-rel-0.8.1/nitime/algorithms/tests/test_spectral.py000066400000000000000000000356401350450615100236230ustar00rootroot00000000000000""" Tests for the algorithms.spectral submodule """ import numpy as np import scipy from scipy import fftpack import numpy.testing as npt import pytest import nitime.algorithms as tsa import nitime.utils as utils def test_get_spectra(): """ Testing spectral estimation """ methods = (None, {"this_method": 'welch', "NFFT": 256, "Fs": 2 * np.pi}, {"this_method": 'welch', "NFFT": 1024, "Fs": 2 * np.pi}) for method in methods: avg_pwr1 = [] avg_pwr2 = [] est_pwr1 = [] est_pwr2 = [] arsig1, _, _ = utils.ar_generator(N=2 ** 16) # needs to be that long # for the answers to converge arsig2, _, _ = utils.ar_generator(N=2 ** 16) avg_pwr1.append((arsig1 ** 2).mean()) avg_pwr2.append((arsig2 ** 2).mean()) tseries = np.vstack([arsig1, arsig2]) f, c = tsa.get_spectra(tseries, method=method) # \sum_{\omega} psd d\omega: est_pwr1.append(np.sum(c[0, 0]) * (f[1] - f[0])) est_pwr2.append(np.sum(c[1, 1]) * (f[1] - f[0])) # Get it right within the order of magnitude: npt.assert_array_almost_equal(est_pwr1, avg_pwr1, decimal=-1) npt.assert_array_almost_equal(est_pwr2, avg_pwr2, decimal=-1) def test_get_spectra_complex(): """ Testing spectral estimation """ methods = (None, {"this_method": 'welch', "NFFT": 256, "Fs": 2 * np.pi}, {"this_method": 'welch', "NFFT": 1024, "Fs": 2 * np.pi}) for method in methods: avg_pwr1 = [] avg_pwr2 = [] est_pwr1 = [] est_pwr2 = [] # Make complex signals: r, _, _ = utils.ar_generator(N=2 ** 16) # It needs to be that long for # the answers to converge c, _, _ = utils.ar_generator(N=2 ** 16) arsig1 = r + c * scipy.sqrt(-1) r, _, _ = utils.ar_generator(N=2 ** 16) c, _, _ = utils.ar_generator(N=2 ** 16) arsig2 = r + c * scipy.sqrt(-1) avg_pwr1.append((arsig1 * arsig1.conjugate()).mean()) avg_pwr2.append((arsig2 * arsig2.conjugate()).mean()) tseries = np.vstack([arsig1, arsig2]) f, c = tsa.get_spectra(tseries, method=method) # \sum_{\omega} psd d\omega: est_pwr1.append(np.sum(c[0, 0]) * (f[1] - f[0])) est_pwr2.append(np.sum(c[1, 1]) * (f[1] - f[0])) # Get it right within the order of magnitude: npt.assert_array_almost_equal(est_pwr1, avg_pwr1, decimal=-1) npt.assert_array_almost_equal(est_pwr2, avg_pwr2, decimal=-1) def test_get_spectra_unknown_method(): """ Test that providing an unknown method to get_spectra rasies a ValueError """ tseries = np.array([[1, 2, 3], [4, 5, 6]]) with pytest.raises(ValueError) as e_info: tsa.get_spectra(tseries, method=dict(this_method='foo')) def test_periodogram(): """Test some of the inputs to periodogram """ arsig, _, _ = utils.ar_generator(N=1024) Sk = fftpack.fft(arsig) f1, c1 = tsa.periodogram(arsig) f2, c2 = tsa.periodogram(arsig, Sk=Sk) npt.assert_equal(c1, c2) # Check that providing a complex signal does the right thing # (i.e. two-sided spectrum): N = 1024 r, _, _ = utils.ar_generator(N=N) c, _, _ = utils.ar_generator(N=N) arsig = r + c * scipy.sqrt(-1) f, c = tsa.periodogram(arsig) npt.assert_equal(f.shape[0], N) # Should be N, not the one-sided N/2 + 1 def test_periodogram_csd(): """Test corner cases of periodogram_csd""" arsig1, _, _ = utils.ar_generator(N=1024) arsig2, _, _ = utils.ar_generator(N=1024) tseries = np.vstack([arsig1, arsig2]) Sk = fftpack.fft(tseries) f1, c1 = tsa.periodogram_csd(tseries) f2, c2 = tsa.periodogram_csd(tseries, Sk=Sk) npt.assert_equal(c1, c2) # Check that providing a complex signal does the right thing # (i.e. two-sided spectrum): N = 1024 r, _, _ = utils.ar_generator(N=N) c, _, _ = utils.ar_generator(N=N) arsig1 = r + c * scipy.sqrt(-1) r, _, _ = utils.ar_generator(N=N) c, _, _ = utils.ar_generator(N=N) arsig2 = r + c * scipy.sqrt(-1) tseries = np.vstack([arsig1, arsig2]) f, c = tsa.periodogram_csd(tseries) npt.assert_equal(f.shape[0], N) # Should be N, not the one-sided N/2 + 1 def test_dpss_windows(): """ Test a couple of funky corner cases of DPSS_windows """ N = 1024 NW = 0 # Setting NW to 0 triggers the weird corner case in which some of # the symmetric tapers have a negative average Kmax = 7 # But that's corrected by the algorithm: d, w = tsa.dpss_windows(1024, 0, 7) for this_d in d[0::2]: npt.assert_equal(this_d.sum(axis=-1) < 0, False) # Make sure we interpolate to the proper number of points d, w = tsa.dpss_windows(245411, 4, 8, 1000) npt.assert_equal(d.shape[-1], 245411) def test_dpss_properties(): """ Test conventions of Slepian eigenvectors """ N = 2000 NW = 200 d, lam = tsa.dpss_windows(N, NW, 2*NW-2) # 2NW-2 lamdas should be all > 0.9 npt.assert_( (lam > 0.9).all(), 'Eigenvectors show poor spectral concentration' ) # test orthonomality err = np.linalg.norm(d.dot(d.T) - np.eye(2*NW-2), ord='fro') npt.assert_(err**2 < 1e-16, 'Eigenvectors not numerically orthonormal') # test positivity of even functions npt.assert_( (d[::2].sum(axis=1) > 0).all(), 'Even Slepian sequences should have positive DC' ) # test positive initial slope of odd functions # (this tests the sign of a linear slope) pk = np.argmax(np.abs(d[1::2, :N//2]), axis=1) t = True for p, f in zip(pk, d[1::2]): t = t and np.sum( np.arange(1,p+1) * f[:p] ) >= 0 npt.assert_(t, 'Odd Slepians should begin positive-going') def test_get_spectra_bi(): """ Test the bi-variate get_spectra function """ methods = (None, {"this_method": 'welch', "NFFT": 256, "Fs": 2 * np.pi}, {"this_method": 'welch', "NFFT": 1024, "Fs": 2 * np.pi}) for method in methods: arsig1, _, _ = utils.ar_generator(N=2 ** 16) arsig2, _, _ = utils.ar_generator(N=2 ** 16) avg_pwr1 = (arsig1 ** 2).mean() avg_pwr2 = (arsig2 ** 2).mean() avg_xpwr = (arsig1 * arsig2.conjugate()).mean() tseries = np.vstack([arsig1, arsig2]) f, fxx, fyy, fxy = tsa.get_spectra_bi(arsig1, arsig2, method=method) # \sum_{\omega} PSD(\omega) d\omega: est_pwr1 = np.sum(fxx * (f[1] - f[0])) est_pwr2 = np.sum(fyy * (f[1] - f[0])) est_xpwr = np.sum(fxy * (f[1] - f[0])).real # Test that we have the right order of magnitude: npt.assert_array_almost_equal(est_pwr1, avg_pwr1, decimal=-1) npt.assert_array_almost_equal(est_pwr2, avg_pwr2, decimal=-1) npt.assert_array_almost_equal(np.mean(est_xpwr), np.mean(avg_xpwr), decimal=-1) def test_mtm_lin_combo(): "Test the functionality of cross and autospectrum MTM combinations" spec1 = np.random.randn(5, 100) + 1j * np.random.randn(5, 100) spec2 = np.random.randn(5, 100) + 1j * np.random.randn(5, 100) # test on both broadcasted weights and per-point weights for wshape in ((2, 5, 1), (2, 5, 100)): weights = np.random.randn(*wshape) sides = 'onesided' mtm_cross = tsa.mtm_cross_spectrum( spec1, spec2, (weights[0], weights[1]), sides=sides ) npt.assert_(mtm_cross.dtype in np.sctypes['complex'], 'Wrong dtype for crossspectrum') npt.assert_(len(mtm_cross) == 51, 'Wrong length for halfband spectrum') sides = 'twosided' mtm_cross = tsa.mtm_cross_spectrum( spec1, spec2, (weights[0], weights[1]), sides=sides ) npt.assert_(len(mtm_cross) == 100, 'Wrong length for fullband spectrum') sides = 'onesided' mtm_auto = tsa.mtm_cross_spectrum( spec1, spec1, weights[0], sides=sides ) npt.assert_(mtm_auto.dtype in np.sctypes['float'], 'Wrong dtype for autospectrum') npt.assert_(len(mtm_auto) == 51, 'Wrong length for halfband spectrum') sides = 'twosided' mtm_auto = tsa.mtm_cross_spectrum( spec1, spec2, weights[0], sides=sides ) npt.assert_(len(mtm_auto) == 100, 'Wrong length for fullband spectrum') def test_mtm_cross_spectrum(): """ Test the multi-taper cross-spectral estimation. Based on the example in doc/examples/multi_taper_coh.py """ NW = 4 K = 2 * NW - 1 N = 2 ** 10 n_reps = 10 n_freqs = N tapers, eigs = tsa.dpss_windows(N, NW, 2 * NW - 1) est_psd = [] for k in range(n_reps): data, nz, alpha = utils.ar_generator(N=N) fgrid, hz = tsa.freq_response(1.0, a=np.r_[1, -alpha], n_freqs=n_freqs) # 'one-sided', so multiply by 2: psd = 2 * (hz * hz.conj()).real tdata = tapers * data tspectra = fftpack.fft(tdata) L = N / 2 + 1 sides = 'onesided' w, _ = utils.adaptive_weights(tspectra, eigs, sides=sides) sxx = tsa.mtm_cross_spectrum(tspectra, tspectra, w, sides=sides) est_psd.append(sxx) fxx = np.mean(est_psd, 0) psd_ratio = np.mean(fxx / psd) # This is a rather lenient test, making sure that the average ratio is 1 to # within an order of magnitude. That is, that they are equal on average: npt.assert_array_almost_equal(psd_ratio, 1, decimal=1) # Test raising of error in case the inputs don't make sense: with pytest.raises(ValueError) as e_info: tsa.mtm_cross_spectrum(tspectra, np.r_[tspectra, tspectra], (w, w)) def test_multi_taper_psd_csd(): """ Test the multi taper psd and csd estimation functions. Based on the example in doc/examples/multi_taper_spectral_estimation.py """ N = 2 ** 10 n_reps = 10 psd = [] est_psd = [] est_csd = [] for jk in [True, False]: for k in range(n_reps): for adaptive in [True, False]: ar_seq, nz, alpha = utils.ar_generator(N=N, drop_transients=10) ar_seq -= ar_seq.mean() fgrid, hz = tsa.freq_response(1.0, a=np.r_[1, -alpha], n_freqs=N) psd.append(2 * (hz * hz.conj()).real) f, psd_mt, nu = tsa.multi_taper_psd(ar_seq, adaptive=adaptive, jackknife=jk) est_psd.append(psd_mt) f, csd_mt = tsa.multi_taper_csd(np.vstack([ar_seq, ar_seq]), adaptive=adaptive) # Symmetrical in this case, so take one element out: est_csd.append(csd_mt[0][1]) fxx = np.mean(psd, axis=0) fxx_est1 = np.mean(est_psd, axis=0) fxx_est2 = np.mean(est_csd, axis=0) # Tests the psd: psd_ratio1 = np.mean(fxx_est1 / fxx) npt.assert_array_almost_equal(psd_ratio1, 1, decimal=-1) # Tests the csd: psd_ratio2 = np.mean(fxx_est2 / fxx) npt.assert_array_almost_equal(psd_ratio2, 1, decimal=-1) def test_gh57(): """ https://github.com/nipy/nitime/issues/57 """ data = np.random.randn(10, 1000) for jk in [True, False]: for adaptive in [True, False]: f, psd, sigma = tsa.multi_taper_psd(data, adaptive=adaptive, jackknife=jk) def test_hermitian_periodogram_csd(): """ Make sure CSD matrices returned by various methods have Hermitian symmetry. """ sig = np.random.randn(4,256) _, csd1 = tsa.periodogram_csd(sig) for i in range(4): for j in range(i+1): xc1 = csd1[i,j] xc2 = csd1[j,i] npt.assert_equal( xc1, xc2.conj(), err_msg='Periodogram CSD not Hermitian' ) _, psd = tsa.periodogram(sig) for i in range(4): npt.assert_almost_equal( psd[i], csd1[i,i].real, err_msg='Periodgram CSD diagonal inconsistent with real PSD' ) def test_hermitian_multitaper_csd(): """ Make sure CSD matrices returned by various methods have Hermitian symmetry. """ sig = np.random.randn(4,256) _, csd1 = tsa.multi_taper_csd(sig, adaptive=False) for i in range(4): for j in range(i+1): xc1 = csd1[i,j] xc2 = csd1[j,i] npt.assert_equal( xc1, xc2.conj(), err_msg='MTM CSD not Hermitian' ) _, psd, _ = tsa.multi_taper_psd(sig, adaptive=False) for i in range(4): npt.assert_almost_equal( psd[i], csd1[i,i].real, err_msg='MTM CSD diagonal inconsistent with real PSD' ) def test_periodogram_spectral_normalization(): """ Check that the spectral estimators are normalized in the correct Watts/Hz fashion """ x = np.random.randn(1024) f1, Xp1 = tsa.periodogram(x) f2, Xp2 = tsa.periodogram(x, Fs=100) f3, Xp3 = tsa.periodogram(x, N=2**12) p1 = np.sum(Xp1) * 2 * np.pi / 2**10 p2 = np.sum(Xp2) * 100 / 2**10 p3 = np.sum(Xp3) * 2 * np.pi / 2**12 npt.assert_( np.abs(p1 - p2) < 1e-14, 'Inconsistent frequency normalization in periodogram (1)' ) npt.assert_( np.abs(p3 - p2) < 1e-8, 'Inconsistent frequency normalization in periodogram (2)' ) td_var = np.var(x) # assure that the estimators are at least in the same # order of magnitude as the time-domain variance npt.assert_( np.abs(np.log10(p1/td_var)) < 1, 'Incorrect frequency normalization in periodogram' ) # check the freq vector while we're here npt.assert_( f2.max() == 50, 'Periodogram returns wrong frequency bins' ) def test_multitaper_spectral_normalization(): """ Check that the spectral estimators are normalized in the correct Watts/Hz fashion """ x = np.random.randn(1024) f1, Xp1, _ = tsa.multi_taper_psd(x) f2, Xp2, _ = tsa.multi_taper_psd(x, Fs=100) f3, Xp3, _ = tsa.multi_taper_psd(x, NFFT=2**12) p1 = np.sum(Xp1) * 2 * np.pi / 2**10 p2 = np.sum(Xp2) * 100 / 2**10 p3 = np.sum(Xp3) * 2 * np.pi / 2**12 npt.assert_( np.abs(p1 - p2) < 1e-14, 'Inconsistent frequency normalization in MTM PSD (1)' ) npt.assert_( np.abs(p3 - p2) < 1e-8, 'Inconsistent frequency normalization in MTM PSD (2)' ) td_var = np.var(x) # assure that the estimators are at least in the same # order of magnitude as the time-domain variance npt.assert_( np.abs(np.log10(p1/td_var)) < 1, 'Incorrect frequency normalization in MTM PSD' ) # check the freq vector while we're here npt.assert_( f2.max() == 50, 'MTM PSD returns wrong frequency bins' ) nitime-rel-0.8.1/nitime/algorithms/wavelet.py000066400000000000000000000063271350450615100212540ustar00rootroot00000000000000""" Wavelets """ import numpy as np from nitime.lazy import scipy_fftpack as fftpack def wfmorlet_fft(f0, sd, sampling_rate, ns=5, nt=None): """ returns a complex morlet wavelet in the frequency domain Parameters ---------- f0 : center frequency sd : standard deviation of center frequency sampling_rate : samplingrate ns : window length in number of standard deviations nt : window length in number of sample points """ if nt == None: st = 1. / (2. * np.pi * sd) nt = 2 * int(ns * st * sampling_rate) + 1 f = fftpack.fftfreq(nt, 1. / sampling_rate) wf = 2 * np.exp(-(f - f0) ** 2 / (2 * sd ** 2)) * np.sqrt(sampling_rate / (np.sqrt(np.pi) * sd)) wf[f < 0] = 0 wf[f == 0] /= 2 return wf def wmorlet(f0, sd, sampling_rate, ns=5, normed='area'): """ returns a complex morlet wavelet in the time domain Parameters ---------- f0 : center frequency sd : standard deviation of frequency sampling_rate : samplingrate ns : window length in number of standard deviations """ st = 1. / (2. * np.pi * sd) w_sz = float(int(ns * st * sampling_rate)) # half time window size t = np.arange(-w_sz, w_sz + 1, dtype=float) / sampling_rate if normed == 'area': w = np.exp(-t ** 2 / (2. * st ** 2)) * np.exp( 2j * np.pi * f0 * t) / np.sqrt(np.sqrt(np.pi) * st * sampling_rate) elif normed == 'max': w = np.exp(-t ** 2 / (2. * st ** 2)) * np.exp( 2j * np.pi * f0 * t) * 2 * sd * np.sqrt(2 * np.pi) / sampling_rate else: assert 0, 'unknown norm %s' % normed return w def wlogmorlet_fft(f0, sd, sampling_rate, ns=5, nt=None): """ returns a complex log morlet wavelet in the frequency domain Parameters ---------- f0 : center frequency sd : standard deviation sampling_rate : samplingrate ns : window length in number of standard deviations nt : window length in number of sample points """ if nt == None: st = 1. / (2. * np.pi * sd) nt = 2 * int(ns * st * sampling_rate) + 1 f = fftpack.fftfreq(nt, 1. / sampling_rate) sfl = np.log(1 + 1. * sd / f0) wf = (2 * np.exp(-(np.log(f) - np.log(f0)) ** 2 / (2 * sfl ** 2)) * np.sqrt(sampling_rate / (np.sqrt(np.pi) * sd))) wf[f < 0] = 0 wf[f == 0] /= 2 return wf def wlogmorlet(f0, sd, sampling_rate, ns=5, normed='area'): """ returns a complex log morlet wavelet in the time domain Parameters ---------- f0 : center frequency sd : standard deviation of frequency sampling_rate : samplingrate ns : window length in number of standard deviations """ st = 1. / (2. * np.pi * sd) w_sz = int(ns * st * sampling_rate) # half time window size wf = wlogmorlet_fft(f0, sd, sampling_rate=sampling_rate, nt=2 * w_sz + 1) w = fftpack.fftshift(fftpack.ifft(wf)) if normed == 'area': w /= w.real.sum() elif normed == 'max': w /= w.real.max() elif normed == 'energy': w /= np.sqrt((w ** 2).sum()) else: assert 0, 'unknown norm %s' % normed return w nitime-rel-0.8.1/nitime/analysis/000077500000000000000000000000001350450615100166755ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/analysis/__init__.py000066400000000000000000000025201350450615100210050ustar00rootroot00000000000000""" Nitime analysis --------------- This module implements an analysis interface between between time-series objects implemented in the :mod:`timeseries` module and the algorithms provided in the :mod:`algorithms` library and other algorithms. The general pattern of use of Analyzer objects is that they an object is initialized with a TimeSeries object as input. Depending on the analysis methods implemented in the particular analysis object, additional inputs may also be required. The methods of the object are then implemented as instances of :obj:`OneTimeProperty`, which means that they are only calculated when they are needed and then cached for further use. Analyzer objects are generally implemented inheriting the :func:`desc.ResetMixin`, which means that they have a :meth:`reset` method. This method resets the object to its initialized state, in which none of the :obj:`OneTimeProperty` methods have been calculated. This allows to change parameter settings of the object and recalculating the quantities in these methods with the new parameter setting. """ from nitime.analysis.coherence import * from nitime.analysis.correlation import * from nitime.analysis.event_related import * from nitime.analysis.normalization import * from nitime.analysis.snr import * from nitime.analysis.spectral import * from nitime.analysis.granger import * nitime-rel-0.8.1/nitime/analysis/base.py000066400000000000000000000023341350450615100201630ustar00rootroot00000000000000 try: from inspect import getfullargspec except ImportError: # PY2 from inspect import getargspec as getfullargspec from nitime import descriptors as desc class BaseAnalyzer(desc.ResetMixin): """ Analyzer that implements the default data flow. All analyzers inherit from this class at least have to * implement a __init__ function to set parameters * define the 'output' property """ @desc.setattr_on_read def parameterlist(self): plist = getfullargspec(self.__init__).args plist.remove('self') plist.remove('input') return plist @property def parameters(self): return dict([(p, getattr(self, p, 'MISSING')) for p in self.parameterlist]) def __init__(self, input=None): self.input = input def set_input(self, input): """Set the input of the analyzer, if you want to reuse the analyzer with a different input than the original """ self.reset() self.input = input def __repr__(self): params = ', '.join(['%s=%r' % (p, getattr(self, p, 'MISSING')) for p in self.parameterlist]) return '%s(%s)' % (self.__class__.__name__, params) nitime-rel-0.8.1/nitime/analysis/coherence.py000066400000000000000000000641601350450615100212110ustar00rootroot00000000000000import warnings import numpy as np from nitime.lazy import scipy_stats_distributions as dist from nitime.lazy import scipy_fftpack as fftpack from nitime import descriptors as desc from nitime import utils as tsu from nitime import algorithms as tsa # To support older versions of numpy that don't have tril_indices: from nitime.index_utils import tril_indices, triu_indices from .base import BaseAnalyzer class CoherenceAnalyzer(BaseAnalyzer): """Analyzer object for coherence/coherency analysis """ def __init__(self, input=None, method=None, unwrap_phases=False): """ Parameters ---------- input : TimeSeries object Containing the data to analyze. method : dict, optional, This is the method used for spectral analysis of the signal for the coherence caclulation. See :func:`algorithms.get_spectra` documentation for details. unwrap_phases : bool, optional Whether to unwrap the phases. This should be True if you assume that the time-delay is the same for all the frequency bands. See _[Sun2005] for details. Default : False Examples -------- >>> import nitime.timeseries as ts >>> np.set_printoptions(precision=4) # for doctesting >>> t1 = ts.TimeSeries(data = np.arange(0,1024,1).reshape(2,512), ... sampling_rate=np.pi) >>> c1 = CoherenceAnalyzer(t1) >>> c1.method['Fs'] # doctest: +ELLIPSIS 3.1415926535... Hz >>> c1.method['this_method'] 'welch' >>> c1.coherence[0,1] array([ 0.9024, 0.9027, 0.9652, 0.9433, 0.9297, 0.9213, 0.9161, 0.9126, 0.9102, 0.9085, 0.9072, 0.9063, 0.9055, 0.905 , 0.9045, 0.9041, 0.9038, 0.9036, 0.9034, 0.9032, 0.9031, 0.9029, 0.9028, 0.9027, 0.9027, 0.9026, 0.9026, 0.9025, 0.9025, 0.9025, 0.9025, 0.9026, 1. ]) >>> c1.phase[0,1] array([ 0. , -0.035 , -0.4839, -0.4073, -0.3373, -0.2828, -0.241 , -0.2085, -0.1826, -0.1615, -0.144 , -0.1292, -0.1164, -0.1054, -0.0956, -0.0869, -0.0791, -0.072 , -0.0656, -0.0596, -0.0541, -0.0489, -0.0441, -0.0396, -0.0353, -0.0314, -0.0277, -0.0244, -0.0216, -0.0197, -0.0198, -0.028 , 0. ]) """ BaseAnalyzer.__init__(self, input) # Set the variables for spectral estimation (can also be entered by # user): if method is None: self.method = {'this_method': 'welch', 'Fs': self.input.sampling_rate} else: self.method = method # If an input is provided, get the sampling rate from there, if you # want to over-ride that, input a method with a 'Fs' field specified: self.method['Fs'] = self.method.get('Fs', self.input.sampling_rate) self._unwrap_phases = unwrap_phases # The following only applies to the welch method: if (self.method.get('this_method') == 'welch' or self.method.get('this_method') is None): # If the input is shorter than NFFT, all the coherences will be # 1 per definition. Throw a warning about that: self.method['NFFT'] = self.method.get('NFFT', tsa.default_nfft) self.method['n_overlap'] = self.method.get('n_overlap', tsa.default_n_overlap) if (self.input.shape[-1] < (self.method['NFFT'] + self.method['n_overlap'])): e_s = "In nitime.analysis, the provided input time-series is" e_s += " shorter than the requested NFFT + n_overlap. All " e_s += "coherence values will be set to 1." warnings.warn(e_s, RuntimeWarning) @desc.setattr_on_read def coherency(self): """The standard output for this kind of analyzer is the coherency """ data = self.input.data tseries_length = data.shape[0] spectrum_length = self.spectrum.shape[-1] coherency = np.zeros((tseries_length, tseries_length, spectrum_length), dtype=complex) for i in range(tseries_length): for j in range(i, tseries_length): coherency[i][j] = tsa.coherency_spec(self.spectrum[i][j], self.spectrum[i][i], self.spectrum[j][j]) idx = tril_indices(tseries_length, -1) coherency[idx[0], idx[1], ...] = coherency[idx[1], idx[0], ...].conj() return coherency @desc.setattr_on_read def spectrum(self): """ The spectra of each of the channels and cross-spectra between different channels in the input TimeSeries object """ f, spectrum = tsa.get_spectra(self.input.data, method=self.method) return spectrum @desc.setattr_on_read def frequencies(self): """ The central frequencies in the bands """ #XXX Use NFFT in the method in order to calculate these, without having #to calculate the spectrum: f, spectrum = tsa.get_spectra(self.input.data, method=self.method) return f @desc.setattr_on_read def coherence(self): """ The coherence between the different channels in the input TimeSeries object """ #XXX Calculate this from the standard output, instead of recalculating #the coherence: tseries_length = self.input.data.shape[0] spectrum_length = self.spectrum.shape[-1] coherence = np.zeros((tseries_length, tseries_length, spectrum_length)) for i in range(tseries_length): for j in range(i, tseries_length): coherence[i][j] = tsa.coherence_spec(self.spectrum[i][j], self.spectrum[i][i], self.spectrum[j][j]) idx = tril_indices(tseries_length, -1) coherence[idx[0], idx[1], ...] = coherence[idx[1], idx[0], ...].conj() return coherence @desc.setattr_on_read def phase(self): """ The frequency-dependent phase relationship between all the pairwise combinations of time-series in the data""" #XXX calcluate this from the standard output, instead of recalculating: tseries_length = self.input.data.shape[0] spectrum_length = self.spectrum.shape[-1] phase = np.zeros((tseries_length, tseries_length, spectrum_length)) for i in range(tseries_length): for j in range(i, tseries_length): phase[i][j] = np.angle( self.spectrum[i][j]) phase[j][i] = np.angle( self.spectrum[i][j].conjugate()) return phase @desc.setattr_on_read def delay(self): """ The delay in seconds between the two time series """ p_shape = self.phase.shape[:-1] delay = np.zeros(self.phase.shape) for i in range(p_shape[0]): for j in range(p_shape[1]): this_phase = self.phase[i, j] #If requested, unwrap the phases: if self._unwrap_phases: this_phase = tsu.unwrap_phases(this_phase) delay[i, j] = this_phase / (2 * np.pi * self.frequencies) return delay @desc.setattr_on_read def coherence_partial(self): """The partial coherence between data[i] and data[j], given data[k], as a function of frequency band""" tseries_length = self.input.data.shape[0] spectrum_length = self.spectrum.shape[-1] p_coherence = np.zeros((tseries_length, tseries_length, tseries_length, spectrum_length)) for i in range(tseries_length): for j in range(tseries_length): for k in range(tseries_length): if j == k or i == k: pass else: p_coherence[i][j][k] = tsa.coherence_partial_spec( self.spectrum[i][j], self.spectrum[i][i], self.spectrum[j][j], self.spectrum[i][k], self.spectrum[j][k], self.spectrum[k][k]) idx = tril_indices(tseries_length, -1) p_coherence[idx[0], idx[1], ...] =\ p_coherence[idx[1], idx[0], ...].conj() return p_coherence class MTCoherenceAnalyzer(BaseAnalyzer): """ Analyzer for multi-taper coherence analysis, including jack-knife estimate of confidence interval """ def __init__(self, input=None, bandwidth=None, alpha=0.05, adaptive=True): """ Initializer function for the MTCoherenceAnalyzer Parameters ---------- input : TimeSeries object bandwidth : float, The bandwidth of the windowing function will determine the number tapers to use. This parameters represents trade-off between frequency resolution (lower main lobe bandwidth for the taper) and variance reduction (higher bandwidth and number of averaged estimates). Per default will be set to 4 times the fundamental frequency, such that NW=4 alpha : float, default =0.05 This is the alpha used to construct a confidence interval around the multi-taper csd estimate, based on a jack-knife estimate of the variance [Thompson2007]_. adaptive : bool, default to True Whether to set the weights for the tapered spectra according to the adaptive algorithm (Thompson, 2007). Notes ----- Thompson, DJ (2007) Jackknifing multitaper spectrum estimates. IEEE Signal Processing Magazing. 24: 20-30 """ BaseAnalyzer.__init__(self, input) if input is None: self.NW = 4 self.bandwidth = None else: N = input.shape[-1] Fs = self.input.sampling_rate if bandwidth is not None: self.NW = bandwidth / (2 * Fs) * N else: self.NW = 4 self.bandwidth = self.NW * (2 * Fs) / N self.alpha = alpha self._L = self.input.data.shape[-1] // 2 + 1 self._adaptive = adaptive @desc.setattr_on_read def tapers(self): return tsa.dpss_windows(self.input.shape[-1], self.NW, 2 * self.NW - 1)[0] @desc.setattr_on_read def eigs(self): return tsa.dpss_windows(self.input.shape[-1], self.NW, 2 * self.NW - 1)[1] @desc.setattr_on_read def df(self): # The degrees of freedom: return 2 * self.NW - 1 @desc.setattr_on_read def spectra(self): tdata = self.tapers[None, :, :] * self.input.data[:, None, :] tspectra = fftpack.fft(tdata) return tspectra @desc.setattr_on_read def weights(self): channel_n = self.input.data.shape[0] w = np.empty((channel_n, self.df, self._L)) if self._adaptive: for i in range(channel_n): # this is always a one-sided spectrum? w[i] = tsu.adaptive_weights(self.spectra[i], self.eigs, sides='onesided')[0] # Set the weights to be the square root of the eigen-values: else: wshape = [1] * len(self.spectra.shape) wshape[0] = channel_n wshape[-2] = int(self.df) pre_w = np.sqrt(self.eigs) + np.zeros((wshape[0], self.eigs.shape[0])) w = pre_w.reshape(*wshape) return w @desc.setattr_on_read def coherence(self): nrows = self.input.data.shape[0] psd_mat = np.zeros((2, nrows, nrows, self._L), 'd') coh_mat = np.zeros((nrows, nrows, self._L), 'd') for i in range(self.input.data.shape[0]): for j in range(i): sxy = tsa.mtm_cross_spectrum(self.spectra[i], self.spectra[j], (self.weights[i], self.weights[j]), sides='onesided') sxx = tsa.mtm_cross_spectrum(self.spectra[i], self.spectra[i], self.weights[i], sides='onesided') syy = tsa.mtm_cross_spectrum(self.spectra[j], self.spectra[j], self.weights[i], sides='onesided') psd_mat[0, i, j] = sxx psd_mat[1, i, j] = syy coh_mat[i, j] = np.abs(sxy) ** 2 coh_mat[i, j] /= (sxx * syy) idx = triu_indices(self.input.data.shape[0], 1) coh_mat[idx[0], idx[1], ...] = coh_mat[idx[1], idx[0], ...].conj() return coh_mat @desc.setattr_on_read def confidence_interval(self): """The size of the 1-alpha confidence interval""" coh_var = np.zeros((self.input.data.shape[0], self.input.data.shape[0], self._L), 'd') for i in range(self.input.data.shape[0]): for j in range(i): if i != j: coh_var[i, j] = tsu.jackknifed_coh_variance( self.spectra[i], self.spectra[j], self.eigs, adaptive=self._adaptive ) idx = triu_indices(self.input.data.shape[0], 1) coh_var[idx[0], idx[1], ...] = coh_var[idx[1], idx[0], ...].conj() coh_mat_xform = tsu.normalize_coherence(self.coherence, 2 * self.df - 2) lb = coh_mat_xform + dist.t.ppf(self.alpha / 2, self.df - 1) * np.sqrt(coh_var) ub = coh_mat_xform + dist.t.ppf(1 - self.alpha / 2, self.df - 1) * np.sqrt(coh_var) # convert this measure with the normalizing function tsu.normal_coherence_to_unit(lb, 2 * self.df - 2, lb) tsu.normal_coherence_to_unit(ub, 2 * self.df - 2, ub) return ub - lb @desc.setattr_on_read def frequencies(self): return np.linspace(0, self.input.sampling_rate / 2, self._L) class SparseCoherenceAnalyzer(BaseAnalyzer): """ This analyzer is intended for analysis of large sets of data, in which possibly only a subset of combinations of time-series needs to be compared. The constructor for this class receives as input not only a time-series object, but also a list of tuples with index combinations (i,j) for the combinations. Importantly, this class implements only the mlab csd function and cannot use other methods of spectral estimation """ def __init__(self, time_series=None, ij=(0, 0), method=None, lb=0, ub=None, prefer_speed_over_memory=True, scale_by_freq=True): """The constructor for the SparseCoherenceAnalyzer Parameters ---------- time_series : a time-series object ij : a list of tuples, each containing a pair of indices. The resulting cache will contain the fft of time-series in the rows indexed by the unique elements of the union of i and j lb,ub : float,optional, default: lb=0, ub=None (max frequency) define a frequency band of interest prefer_speed_over_memory: Boolean, optional, default=True Does exactly what the name implies. If you have enough memory method : optional, dict The method for spectral estimation (see :func:`algorithms.get_spectra`) """ BaseAnalyzer.__init__(self, time_series) #Initialize variables from the time series self.ij = ij #Set the variables for spectral estimation (can also be entered by #user): if method is None: self.method = {'this_method': 'welch'} else: self.method = method if self.method['this_method'] != 'welch': e_s = "For SparseCoherenceAnalyzer, " e_s += "spectral estimation method must be welch" raise ValueError(e_s) self.method['Fs'] = self.method.get('Fs', self.input.sampling_rate) #Additional parameters for the coherency estimation: self.lb = lb self.ub = ub self.prefer_speed_over_memory = prefer_speed_over_memory self.scale_by_freq = scale_by_freq @desc.setattr_on_read def coherency(self): """ The default behavior is to calculate the cache, extract it and then output the coherency""" coherency = tsa.cache_to_coherency(self.cache, self.ij) return coherency @desc.setattr_on_read def coherence(self): """ The coherence values for the output""" coherence = np.abs(self.coherency ** 2) return coherence @desc.setattr_on_read def cache(self): """Caches the fft windows required by the other methods of the SparseCoherenceAnalyzer. Calculate only once and reuse """ data = self.input.data f, cache = tsa.cache_fft(data, self.ij, lb=self.lb, ub=self.ub, method=self.method, prefer_speed_over_memory=self.prefer_speed_over_memory, scale_by_freq=self.scale_by_freq) return cache @desc.setattr_on_read def spectrum(self): """get the spectrum for the collection of time-series in this analyzer """ spectrum = tsa.cache_to_psd(self.cache, self.ij) return spectrum @desc.setattr_on_read def phases(self): """The frequency-band dependent phases of the spectra of each of the time -series i,j in the analyzer""" phase = tsa.cache_to_phase(self.cache, self.ij) return phase @desc.setattr_on_read def relative_phases(self): """The frequency-band dependent relative phase between the two time-series """ return np.angle(self.coherency) @desc.setattr_on_read def delay(self): """ The delay in seconds between the two time series """ return self.relative_phases / (2 * np.pi * self.frequencies) @desc.setattr_on_read def frequencies(self): """Get the central frequencies for the frequency bands, given the method of estimating the spectrum """ self.method['Fs'] = self.method.get('Fs', self.input.sampling_rate) NFFT = self.method.get('NFFT', 64) Fs = self.method.get('Fs') freqs = tsu.get_freqs(Fs, NFFT) lb_idx, ub_idx = tsu.get_bounds(freqs, self.lb, self.ub) return freqs[lb_idx:ub_idx] class SeedCoherenceAnalyzer(object): """ This analyzer takes two time-series. The first is designated as a time-series of seeds. The other is designated as a time-series of targets. The analyzer performs a coherence analysis between each of the channels in the seed time-series and *all* of the channels in the target time-series. Note ---- This is a convenience class, which provides a convenient-to-use interface to the SparseCoherenceAnalyzer """ def __init__(self, seed_time_series=None, target_time_series=None, method=None, lb=0, ub=None, prefer_speed_over_memory=True, scale_by_freq=True): """ The constructor for the SeedCoherenceAnalyzer Parameters ---------- seed_time_series: a time-series object target_time_series: a time-series object lb,ub: float,optional, default: lb=0, ub=None (max frequency) define a frequency band of interest prefer_speed_over_memory: Boolean, optional, default=True Makes things go a bit faster, if you have enough memory """ self.seed = seed_time_series self.target = target_time_series # Check that the seed and the target have the same sampling rate: if self.seed.sampling_rate != self.target.sampling_rate: e_s = "The sampling rate for the seed time-series and the target" e_s += " time-series need to be identical." raise ValueError(e_s) #Set the variables for spectral estimation (can also be entered by #user): if method is None: self.method = {'this_method': 'welch'} else: self.method = method if ('this_method' in self.method.keys() and self.method['this_method'] != 'welch'): e_s = "For SeedCoherenceAnalyzer, " e_s += "spectral estimation method must be welch" raise ValueError(e_s) #Additional parameters for the coherency estimation: self.lb = lb self.ub = ub self.prefer_speed_over_memory = prefer_speed_over_memory self.scale_by_freq = scale_by_freq @desc.setattr_on_read def coherence(self): """ The coherence between each of the channels of the seed time series and all the channels of the target time-series. """ return np.abs(self.coherency) ** 2 @desc.setattr_on_read def frequencies(self): """Get the central frequencies for the frequency bands, given the method of estimating the spectrum """ # Get the sampling rate from the seed time-series: self.method['Fs'] = self.method.get('Fs', self.seed.sampling_rate) NFFT = self.method.get('NFFT', 64) Fs = self.method.get('Fs') freqs = tsu.get_freqs(Fs, NFFT) lb_idx, ub_idx = tsu.get_bounds(freqs, self.lb, self.ub) return freqs[lb_idx:ub_idx] @desc.setattr_on_read def target_cache(self): data = self.target.data #Make a cache with all the fft windows for each of the channels in the #target. #This is the kind of input that cache_fft expects: ij = list(zip(np.arange(data.shape[0]), np.arange(data.shape[0]))) f, cache = tsa.cache_fft(data, ij, lb=self.lb, ub=self.ub, method=self.method, prefer_speed_over_memory=self.prefer_speed_over_memory, scale_by_freq=self.scale_by_freq) return cache @desc.setattr_on_read def coherency(self): #Pre-allocate the final result: if len(self.seed.shape) > 1: Cxy = np.empty((self.seed.data.shape[0], self.target.data.shape[0], self.frequencies.shape[0]), dtype=np.complex) else: Cxy = np.empty((self.target.data.shape[0], self.frequencies.shape[0]), dtype=np.complex) #Get the fft window cache for the target time-series: cache = self.target_cache #A list of indices for the target: target_chan_idx = np.arange(self.target.data.shape[0]) #This is a list of indices into the cached fft window libraries, #setting the index of the seed to be -1, so that it is easily #distinguished from the target indices: ij = list(zip(np.ones_like(target_chan_idx) * -1, target_chan_idx)) #If there is more than one channel in the seed time-series: if len(self.seed.shape) > 1: for seed_idx, this_seed in enumerate(self.seed.data): #Here ij is 0, because it is just one channel and we stack the #channel onto itself in order for the input to the function to #make sense: f, seed_cache = tsa.cache_fft( np.vstack([this_seed, this_seed]), [(0, 0)], lb=self.lb, ub=self.ub, method=self.method, prefer_speed_over_memory=self.prefer_speed_over_memory, scale_by_freq=self.scale_by_freq) #Insert the seed_cache into the target_cache: cache['FFT_slices'][-1] = seed_cache['FFT_slices'][0] #If this is true, the cache contains both FFT_slices and #FFT_conj_slices: if self.prefer_speed_over_memory: cache['FFT_conj_slices'][-1] = \ seed_cache['FFT_conj_slices'][0] #This performs the caclulation for this seed: Cxy[seed_idx] = tsa.cache_to_coherency(cache, ij) #In the case where there is only one channel in the seed time-series: else: f, seed_cache = tsa.cache_fft( np.vstack([self.seed.data, self.seed.data]), [(0, 0)], lb=self.lb, ub=self.ub, method=self.method, prefer_speed_over_memory=self.prefer_speed_over_memory, scale_by_freq=self.scale_by_freq) cache['FFT_slices'][-1] = seed_cache['FFT_slices'][0] if self.prefer_speed_over_memory: cache['FFT_conj_slices'][-1] = \ seed_cache['FFT_conj_slices'][0] Cxy = tsa.cache_to_coherency(cache, ij) return Cxy.squeeze() @desc.setattr_on_read def relative_phases(self): """The frequency-band dependent relative phase between the two time-series """ return np.angle(self.coherency) @desc.setattr_on_read def delay(self): """ The delay in seconds between the two time series """ return self.relative_phases / (2 * np.pi * self.frequencies) nitime-rel-0.8.1/nitime/analysis/correlation.py000066400000000000000000000123221350450615100215700ustar00rootroot00000000000000import numpy as np from nitime import descriptors as desc from nitime import timeseries as ts from nitime import algorithms as tsa # To support older versions of numpy that don't have tril_indices: from nitime.index_utils import tril_indices from .base import BaseAnalyzer class CorrelationAnalyzer(BaseAnalyzer): """Analyzer object for correlation analysis. Has the same API as the CoherenceAnalyzer""" def __init__(self, input=None): """ Parameters ---------- input : TimeSeries object Containing the data to analyze. Examples -------- >>> np.set_printoptions(precision=4) # for doctesting >>> t1 = ts.TimeSeries(data = np.sin(np.arange(0, ... 10*np.pi,10*np.pi/100)).reshape(2,50), ... sampling_rate=np.pi) >>> c1 = CorrelationAnalyzer(t1) >>> c1 = CorrelationAnalyzer(t1) >>> c1.corrcoef array([[ 1., -1.], [-1., 1.]]) >>> c1.xcorr.sampling_rate # doctest: +ELLIPSIS 3.141592653... Hz >>> c1.xcorr.t0 # doctest: +ELLIPSIS -15.91549430915... s """ BaseAnalyzer.__init__(self, input) @desc.setattr_on_read def corrcoef(self): """The correlation coefficient between every pairwise combination of time-series contained in the object""" return np.corrcoef(self.input.data) @desc.setattr_on_read def xcorr(self): """The cross-correlation between every pairwise combination time-series in the object. Uses np.correlation('full'). Returns ------- TimeSeries : the time-dependent cross-correlation, with zero-lag at time=0 """ tseries_length = self.input.data.shape[0] t_points = self.input.data.shape[-1] xcorr = np.zeros((tseries_length, tseries_length, t_points * 2 - 1)) data = self.input.data for i in range(tseries_length): data_i = data[i] for j in range(i, tseries_length): xcorr[i, j] = np.correlate(data_i, data[j], mode='full') idx = tril_indices(tseries_length, -1) xcorr[idx[0], idx[1], ...] = xcorr[idx[1], idx[0], ...] return ts.TimeSeries(xcorr, sampling_interval=self.input.sampling_interval, t0=-self.input.sampling_interval * t_points) @desc.setattr_on_read def xcorr_norm(self): """The cross-correlation between every pairwise combination time-series in the object, where the zero lag correlation is normalized to be equal to the correlation coefficient between the time-series Returns ------- TimeSeries : A TimeSeries object the time-dependent cross-correlation, with zero-lag at time=0 """ tseries_length = self.input.data.shape[0] t_points = self.input.data.shape[-1] xcorr = np.zeros((tseries_length, tseries_length, t_points * 2 - 1)) data = self.input.data for i in range(tseries_length): data_i = data[i] for j in range(i, tseries_length): xcorr[i, j] = np.correlate(data_i, data[j], mode='full') xcorr[i, j] /= (xcorr[i, j, t_points]) xcorr[i, j] *= self.corrcoef[i, j] idx = tril_indices(tseries_length, -1) xcorr[idx[0], idx[1], ...] = xcorr[idx[1], idx[0], ...] return ts.TimeSeries(xcorr, sampling_interval=self.input.sampling_interval, t0=-self.input.sampling_interval * t_points) class SeedCorrelationAnalyzer(object): """ This analyzer takes two time-series. The first is designated as a time-series of seeds. The other is designated as a time-series of targets. The analyzer performs a correlation analysis between each of the channels in the seed time-series and *all* of the channels in the target time-series. """ def __init__(self, seed_time_series=None, target_time_series=None): """ Parameters ---------- seed_time_series : a TimeSeries object target_time_series : a TimeSeries object """ self.seed = seed_time_series self.target = target_time_series @desc.setattr_on_read def corrcoef(self): #If there is more than one channel in the seed time-series: if len(self.seed.shape) > 1: # Preallocate results Cxy = np.empty((self.seed.data.shape[0], self.target.data.shape[0]), dtype=np.float) for seed_idx, this_seed in enumerate(self.seed.data): Cxy[seed_idx] = tsa.seed_corrcoef(this_seed, self.target.data) #In the case where there is only one channel in the seed time-series: else: Cxy = tsa.seed_corrcoef(self.seed.data, self.target.data) return Cxy.squeeze() nitime-rel-0.8.1/nitime/analysis/event_related.py000066400000000000000000000401761350450615100221000ustar00rootroot00000000000000import numpy as np from nitime.lazy import scipy_stats as stats from nitime import descriptors as desc from nitime import utils as tsu from nitime import algorithms as tsa from nitime import timeseries as ts class EventRelatedAnalyzer(desc.ResetMixin): """Analyzer object for reverse-correlation/event-related analysis. Note: right now, this class assumes the input time series is only two-dimensional. If your input data is something like (nchannels,nsubjects, ...) with more dimensions, things are likely to break in hard to understand ways. """ def __init__(self, time_series, events, len_et, zscore=False, correct_baseline=False, offset=0): """ Parameters ---------- time_series : a time-series object A time-series with data on which the event-related analysis proceeds events_time_series : a TimeSeries object or an Events object The events which occurred in tandem with the time-series in the EventRelatedAnalyzer. This object's data has to have the same dimensions as the data in the EventRelatedAnalyzer object. In each sample in the time-series, there is an integer, which denotes the kind of event which occurred at that time. In time-bins in which no event occurred, a 0 should be entered. The data in this time series object needs to have the same dimensionality as the data in the data time-series len_et : int The expected length of the event-triggered quantity (in the same time-units as the events are represented (presumably number of TRs, for fMRI data). For example, the size of the block dedicated in the fir_matrix to each type of event zscore : a flag to return the result in zscore (where relevant) correct_baseline : a flag to correct the baseline according to the first point in the event-triggered average (where possible) offset : the offset of the beginning of the event-related time-series, relative to the event occurrence """ #XXX Change so that the offset and length of the eta can be given in #units of time #Make sure that the offset and the len_et values can be used, by #padding with zeros before and after: if isinstance(events, ts.TimeSeries): #Set a flag to indicate the input is a time-series object: self._is_ts = True s = time_series.data.shape e_data = np.copy(events.data) #If the input is a one-dimensional (instead of an n-channel #dimensional) time-series, we will need to broadcast to make the #data assume the same number of dimensions as the time-series #input: if len(events.shape) == 1 and len(s) > 1: e_data = e_data + np.zeros((s[0], 1)) zeros_before = np.zeros((s[:-1] + (int(offset),))) zeros_after = np.zeros((s[:-1] + (int(len_et),))) time_series_data = np.hstack([zeros_before, time_series.data, zeros_after]) events_data = np.hstack([zeros_before, e_data, zeros_after]) #If the events and the time_series have more than 1-d, the analysis #can traverse their first dimension if time_series.data.ndim - 1 > 0: self._len_h = time_series.data.shape[0] self.events = events_data self.data = time_series_data #Otherwise, in order to extract the array from the first dimension, #we wrap it in a list else: self._len_h = 1 self.events = [events_data] self.data = [time_series_data] elif isinstance(events, ts.Events): self._is_ts = False s = time_series.data.shape zeros_before = np.zeros((s[:-1] + (abs(offset),))) zeros_after = np.zeros((s[:-1] + (abs(len_et),))) #If the time_series has more than 1-d, the analysis can traverse #the first dimension if time_series.data.ndim - 1 > 0: self._len_h = time_series.shape[0] self.data = time_series self.events = events #Otherwise, in order to extract the array from the first dimension, #we wrap it in a list else: self._len_h = 1 self.data = [time_series] #No need to do that for the Events object: self.events = events else: err = ("Input 'events' to EventRelatedAnalyzer must be of type " "Events or of type TimeSeries, %r given" % events) raise ValueError(err) self.sampling_rate = time_series.sampling_rate self.sampling_interval = time_series.sampling_interval self.len_et = int(len_et) self._zscore = zscore self._correct_baseline = correct_baseline self.offset = offset self.time_unit = time_series.time_unit @desc.setattr_on_read def FIR(self): """Calculate the FIR event-related estimated of the HRFs for different kinds of events Returns ------- A time-series object, shape[:-2] are dimensions corresponding to the to shape[:-2] of the EventRelatedAnalyzer data, shape[-2] corresponds to the different kinds of events used (ordered according to the sorted order of the unique components in the events time-series). shape[-1] corresponds to time, and has length = len_et """ # XXX code needs to be changed to use flattening (see 'eta' below) #Make a list to put the outputs in: h = [0] * self._len_h for i in range(self._len_h): #XXX Check that the offset makes sense (there can't be an event #happening within one offset duration of the beginning of the #time-series: #Get the design matrix (roll by the offset, in order to get the #right thing): roll_events = np.roll(self.events[i], self.offset) design = tsu.fir_design_matrix(roll_events, self.len_et) #Compute the fir estimate, in linear form: this_h = tsa.fir(self.data[i], design) #Reshape the linear fir estimate into a event_types*hrf_len array u = np.unique(self.events[i]) event_types = u[np.unique(self.events[i]) != 0] h[i] = np.reshape(this_h, (event_types.shape[0], self.len_et)) h = np.array(h).squeeze() return ts.TimeSeries(data=h, sampling_rate=self.sampling_rate, t0=self.offset * self.sampling_interval, time_unit=self.time_unit) @desc.setattr_on_read def FIR_estimate(self): """Calculate back the LTI estimate of the time-series, from FIR""" raise NotImplementedError @desc.setattr_on_read def xcorr_eta(self): """Compute the normalized cross-correlation estimate of the HRFs for different kinds of events Returns ------- A time-series object, shape[:-2] are dimensions corresponding to the to shape[:-2] of the EventRelatedAnalyzer data, shape[-2] corresponds to the different kinds of events used (ordered according to the sorted order of the unique components in the events time-series). shape[-1] corresponds to time, and has length = len_et (xcorr looks both back and forward for half of this length) """ #Make a list to put the outputs in: h = [0] * self._len_h for i in range(self._len_h): data = self.data[i] u = np.unique(self.events[i]) event_types = u[np.unique(self.events[i]) != 0] h[i] = np.empty((event_types.shape[0], self.len_et // 2), dtype=complex) for e_idx in range(event_types.shape[0]): this_e = (self.events[i] == event_types[e_idx]) * 1.0 if self._zscore: this_h = tsa.freq_domain_xcorr_zscored( data, this_e, -self.offset + 1, self.len_et - self.offset - 2) else: this_h = tsa.freq_domain_xcorr( data, this_e, -self.offset + 1, self.len_et - self.offset - 2) h[i][e_idx] = this_h h = np.array(h).squeeze() ## t0 for the object returned here needs to be the central time, not ## the first time point, because the functions 'look' back and forth ## for len_et bins return ts.TimeSeries(data=h, sampling_rate=self.sampling_rate, t0=-1 * self.len_et * self.sampling_interval, time_unit=self.time_unit) @desc.setattr_on_read def et_data(self): """The event-triggered data (all occurrences). This gets the time-series corresponding to the inidividual event occurrences. Returns a list of lists of time-series. The first dimension is the different channels in the original time-series data and the second dimension is each type of event in the event time series The time-series itself has the first diemnsion of the data being the specific occurrence, with time 0 locked to the that occurrence of the event and the last dimension is time.e This complicated structure is so that it can deal with situations where each channel has different events and different events have different # of occurrences """ #Make a list for the output h = [0] * self._len_h for i in range(self._len_h): data = self.data[i] u = np.unique(self.events[i]) event_types = u[np.unique(self.events[i]) != 0] #Make a list in here as well: this_list = [0] * event_types.shape[0] for e_idx in range(event_types.shape[0]): idx = np.where(self.events[i] == event_types[e_idx]) idx_w_len = np.array([idx[0] + count + self.offset for count in range(self.len_et)]) event_trig = data[idx_w_len].T this_list[e_idx] = ts.TimeSeries(data=event_trig, sampling_interval=self.sampling_interval, t0=self.offset * self.sampling_interval, time_unit=self.time_unit) h[i] = this_list return h @desc.setattr_on_read def eta(self): """The event-triggered average activity. """ #Make a list for the output h = [0] * self._len_h if self._is_ts: # Loop over channels for i in range(self._len_h): data = self.data[i] u = np.unique(self.events[i]) event_types = u[np.unique(self.events[i]) != 0] h[i] = np.empty((event_types.shape[0], self.len_et), dtype=complex) # This offset is used to pull the event indices below, but we # have to broadcast it so the shape of the resulting idx+offset # operation below gives us the (nevents, len_et) array we want, # per channel. offset = np.arange(self.offset, self.offset + self.len_et)[:, np.newaxis] # Loop over event types for e_idx in range(event_types.shape[0]): idx = np.where(self.events[i] == event_types[e_idx])[0] event_trig = data[idx + offset] #Correct baseline by removing the first point in the series #for each channel: if self._correct_baseline: event_trig -= event_trig[0] h[i][e_idx] = np.mean(event_trig, -1) #In case the input events are an Events: else: #Get the indices necessary for extraction of the eta: add_offset = np.arange(self.offset, self.offset + self.len_et)[:, np.newaxis] idx = (self.events.time / self.sampling_interval).astype(int) #Make a list for the output h = [0] * self._len_h # Loop over channels for i in range(self._len_h): #If this is a list with one element: if self._len_h == 1: event_trig = self.data[0][idx + add_offset] #Otherwise, you need to index straight into the underlying data #array: else: event_trig = self.data.data[i][idx + add_offset] h[i] = np.mean(event_trig, -1) h = np.array(h).squeeze() return ts.TimeSeries(data=h, sampling_interval=self.sampling_interval, t0=self.offset * self.sampling_interval, time_unit=self.time_unit) @desc.setattr_on_read def ets(self): """The event-triggered standard error of the mean """ #Make a list for the output h = [0] * self._len_h if self._is_ts: # Loop over channels for i in range(self._len_h): data = self.data[i] u = np.unique(self.events[i]) event_types = u[np.unique(self.events[i]) != 0] h[i] = np.empty((event_types.shape[0], self.len_et), dtype=complex) # This offset is used to pull the event indices below, but we # have to broadcast it so the shape of the resulting idx+offset # operation below gives us the (nevents, len_et) array we want, # per channel. offset = np.arange(self.offset, self.offset + self.len_et)[:, np.newaxis] # Loop over event types for e_idx in range(event_types.shape[0]): idx = np.where(self.events[i] == event_types[e_idx])[0] event_trig = data[idx + offset] #Correct baseline by removing the first point in the series #for each channel: if self._correct_baseline: event_trig -= event_trig[0] h[i][e_idx] = stats.sem(event_trig, -1) #In case the input events are an Events: else: #Get the indices necessary for extraction of the eta: add_offset = np.arange(self.offset, self.offset + self.len_et)[:, np.newaxis] idx = (self.events.time / self.sampling_interval).astype(int) #Make a list for the output h = [0] * self._len_h # Loop over channels for i in range(self._len_h): #If this is a list with one element: if self._len_h == 1: event_trig = self.data[0][idx + add_offset] #Otherwise, you need to index straight into the underlying data #array: else: event_trig = self.data.data[i][idx + add_offset] h[i] = stats.sem(event_trig, -1) h = np.array(h).squeeze() return ts.TimeSeries(data=h, sampling_interval=self.sampling_interval, t0=self.offset * self.sampling_interval, time_unit=self.time_unit) nitime-rel-0.8.1/nitime/analysis/granger.py000066400000000000000000000164001350450615100206750ustar00rootroot00000000000000""" Analyzers for the calculation of Granger 'causality' """ import numpy as np import nitime.algorithms as alg import nitime.utils as utils from nitime import descriptors as desc from .base import BaseAnalyzer # To support older versions of numpy that don't have tril_indices: from nitime.index_utils import tril_indices_from def fit_model(x1, x2, order=None, max_order=10, criterion=utils.bayesian_information_criterion): """ Fit the auto-regressive model used in calculation of Granger 'causality'. Parameters ---------- x1,x2: float arrays (n) x1,x2 bivariate combination. order: int (optional) If known, the order of the autoregressive process max_order: int (optional) If the order is not known, this will be the maximal order to fit. criterion: callable A function which defines an information criterion, used to determine the order of the model. """ c_old = np.inf n_process = 2 Ntotal = n_process * x1.shape[-1] # If model order was provided as an input: if order is not None: lag = order + 1 Rxx = utils.autocov_vector(np.vstack([x1, x2]), nlags=lag) coef, ecov = alg.lwr_recursion(np.array(Rxx).transpose(2, 0, 1)) # If the model order is not known and provided as input: else: for lag in range(1, max_order): Rxx_new = utils.autocov_vector(np.vstack([x1, x2]), nlags=lag) coef_new, ecov_new = alg.lwr_recursion( np.array(Rxx_new).transpose(2, 0, 1)) order_new = coef_new.shape[0] c_new = criterion(ecov_new, n_process, order_new, Ntotal) if c_new > c_old: # Keep the values you got in the last round and break out: break else: # Replace the output values with the new calculated values and # move on to the next order: c_old = c_new order = order_new Rxx = Rxx_new coef = coef_new ecov = ecov_new else: e_s = ("Model estimation order did not converge at max_order = %s" % max_order) raise ValueError(e_s) return order, Rxx, coef, ecov class GrangerAnalyzer(BaseAnalyzer): """Analyzer for computing all-to-all Granger 'causality' """ def __init__(self, input=None, ij=None, order=None, max_order=10, criterion=utils.bayesian_information_criterion, n_freqs=1024): """ Initializer for the GrangerAnalyzer. Parameters ---------- input: nitime TimeSeries object ij: List of tuples of the form: [(0, 1), (0, 2)], etc. These are the indices of pairs of time-series for which the analysis will be done. Defaults to all vs. all. order: int (optional) The order of the process. If this is not known, it will be estimated from the data, using the information criterion max_order: if the order is estimated, this is the maximal order to estimate for. n_freqs: int (optional) The size of the sampling grid in the frequency domain. Defaults to 1024 criterion: XXX """ self.data = input.data self.sampling_rate = input.sampling_rate self._n_process = input.shape[0] self._n_freqs = n_freqs self._order = order self._criterion = criterion self._max_order = max_order if ij is None: # The following gets the full list of combinations of # non-same i's and j's: x, y = np.meshgrid(np.arange(self._n_process), np.arange(self._n_process)) self.ij = list(zip(x[tril_indices_from(x, -1)], y[tril_indices_from(y, -1)])) else: self.ij = ij @desc.setattr_on_read def _model(self): model = dict(order={}, autocov={}, model_coef={}, error_cov={}) for i, j in self.ij: model[i, j] = dict() order_t, Rxx_t, coef_t, ecov_t = fit_model(self.data[i], self.data[j], order=self._order, max_order=self._max_order, criterion=self._criterion) model['order'][i, j] = order_t model['autocov'][i, j] = Rxx_t model['model_coef'][i, j] = coef_t model['error_cov'][i, j] = ecov_t return model @desc.setattr_on_read def order(self): if self._order is None: return self._model['order'] else: order = {} for i, j in self.ij: order[i, j] = self._order return order @desc.setattr_on_read def autocov(self): return self._model['autocov'] @desc.setattr_on_read def model_coef(self): return self._model['model_coef'] @desc.setattr_on_read def error_cov(self): return self._model['error_cov'] @desc.setattr_on_read def _granger_causality(self): """ This returns a dict with the values computed by :func:`granger_causality_xy`, rather than arrays, so that we can delay the allocation of arrays as much as possible. """ gc = dict(frequencies={}, gc_xy={}, gc_yx={}, gc_sim={}, spectral_density={}) for i, j in self.ij: w, f_x2y, f_y2x, f_xy, Sw = \ alg.granger_causality_xy(self.model_coef[i, j], self.error_cov[i, j], n_freqs=self._n_freqs) # All other measures are dependent on i, j: gc['gc_xy'][i, j] = f_x2y gc['gc_yx'][i, j] = f_y2x gc['gc_sim'][i, j] = f_xy gc['spectral_density'][i, j] = Sw return gc @desc.setattr_on_read def frequencies(self): return utils.get_freqs(self.sampling_rate, self._n_freqs) def _dict2arr(self, key): """ A helper function that will generate an array with all nan's and insert the measure defined by 'key' into the array and return it to the calling function. This allows us to get matrices of the measures of interest, instead of a dict. """ # Prepare the matrix for the output: arr = np.empty((self._n_process, self._n_process, self.frequencies.shape[0])) arr.fill(np.nan) # 'Translate' from dict form into matrix form: for i, j in self.ij: arr[i, j, :] = self._granger_causality[key][i, j] return arr @desc.setattr_on_read def causality_xy(self): return self._dict2arr('gc_xy') @desc.setattr_on_read def causality_yx(self): return self._dict2arr('gc_yx') @desc.setattr_on_read def simultaneous_causality(self): return self._dict2arr('gc_sim') @desc.setattr_on_read def spectral_matrix(self): return self._granger_causality['spectral_density'] nitime-rel-0.8.1/nitime/analysis/normalization.py000066400000000000000000000020301350450615100221300ustar00rootroot00000000000000from nitime import descriptors as desc from nitime import utils as tsu from nitime import timeseries as ts from .base import BaseAnalyzer class NormalizationAnalyzer(BaseAnalyzer): """ A class for performing normalization operations on time-series and producing the renormalized versions of the time-series""" def __init__(self, input=None): """Constructor function for the Normalization analyzer class. Parameters ---------- input: TimeSeries object """ BaseAnalyzer.__init__(self, input) @desc.setattr_on_read def percent_change(self): return ts.TimeSeries(tsu.percent_change(self.input.data), sampling_rate=self.input.sampling_rate, time_unit=self.input.time_unit) @desc.setattr_on_read def z_score(self): return ts.TimeSeries(tsu.zscore(self.input.data), sampling_rate=self.input.sampling_rate, time_unit=self.input.time_unit) nitime-rel-0.8.1/nitime/analysis/snr.py000066400000000000000000000117421350450615100200560ustar00rootroot00000000000000import numpy as np from nitime.lazy import scipy_stats as stats from nitime import descriptors as desc from nitime import algorithms as tsa from nitime import timeseries as ts from nitime.index_utils import tril_indices_from from .base import BaseAnalyzer def signal_noise(response): """ Signal and noise as defined in Borst and Theunissen 1999, Figure 2 Parameters ---------- response: nitime TimeSeries object The data here are individual responses of a single unit to the same stimulus, with repetitions being the first dimension and time as the last dimension """ signal = np.mean(response.data, 0) # The estimate of the signal is the # average response noise = response.data - signal # Noise is the individual # repetition's deviation from the # estimate of the signal # Return TimeSeries objects with the sampling rate of the input: return (ts.TimeSeries(signal, sampling_rate=response.sampling_rate), ts.TimeSeries(noise, sampling_rate=response.sampling_rate)) class SNRAnalyzer(BaseAnalyzer): """ Calculate SNR for a response to repetitions of the same stimulus, according to (Borst, 1999) (Figure 2) and (Hsu, 2004). Hsu A, Borst A and Theunissen, FE (2004) Quantifying variability in neural responses ans its application for the validation of model predictions. Network: Comput Neural Syst 15:91-109 Borst A and Theunissen FE (1999) Information theory and neural coding. Nat Neurosci 2:947-957 """ def __init__(self, input=None, bandwidth=None, adaptive=False, low_bias=False): """ Initializer for the multi_taper_SNR object Parameters ---------- input: TimeSeries object bandwidth: float, The bandwidth of the windowing function will determine the number tapers to use. This parameters represents trade-off between frequency resolution (lower main lobe bandwidth for the taper) and variance reduction (higher bandwidth and number of averaged estimates). Per default will be set to 4 times the fundamental frequency, such that NW=4 adaptive: bool, default to False Whether to set the weights for the tapered spectra according to the adaptive algorithm (Thompson, 2007). low_bias : bool, default to False Rather than use 2NW tapers, only use the tapers that have better than 90% spectral concentration within the bandwidth (still using a maximum of 2NW tapers) Notes ----- Thompson, DJ (2007) Jackknifing multitaper spectrum estimates. IEEE Signal Processing Magazing. 24: 20-30 """ self.input = input self.signal, self.noise = signal_noise(input) self.bandwidth = bandwidth self.adaptive = adaptive self.low_bias = low_bias @desc.setattr_on_read def mt_frequencies(self): return np.linspace(0, self.input.sampling_rate / 2, self.input.data.shape[-1] // 2 + 1) @desc.setattr_on_read def mt_signal_psd(self): _, p, _ = tsa.multi_taper_psd(self.signal.data, Fs=self.input.sampling_rate, BW=self.bandwidth, adaptive=self.adaptive, low_bias=self.low_bias) return p @desc.setattr_on_read def mt_noise_psd(self): p = np.empty((self.noise.data.shape[0], self.noise.data.shape[-1] // 2 + 1)) for i in range(p.shape[0]): _, p[i], _ = tsa.multi_taper_psd(self.noise.data[i], Fs=self.input.sampling_rate, BW=self.bandwidth, adaptive=self.adaptive, low_bias=self.low_bias) return np.mean(p, 0) @desc.setattr_on_read def mt_coherence(self): """ """ return self.mt_signal_psd / (self.mt_signal_psd + self.mt_noise_psd) @desc.setattr_on_read def mt_information(self): df = self.mt_frequencies[1] - self.mt_frequencies[0] return -1 * np.log2(1 - self.mt_coherence) * df #These two formulations should be equivalent #return np.log2(1+self.mt_snr) @desc.setattr_on_read def mt_snr(self): return self.mt_signal_psd / self.mt_noise_psd @desc.setattr_on_read def correlation(self): """ The correlation between all combinations of trials Returns ------- (r,e) : tuple r is the mean correlation and e is the mean error of the correlation (with df = n_trials - 1) """ c = np.corrcoef(self.input.data) c = c[tril_indices_from(c, -1)] return np.mean(c), stats.sem(c) nitime-rel-0.8.1/nitime/analysis/spectral.py000066400000000000000000000541021350450615100210660ustar00rootroot00000000000000import numpy as np from nitime.lazy import scipy from nitime.lazy import scipy_signal as signal from nitime.lazy import scipy_fftpack as fftpack from nitime import descriptors as desc from nitime import utils as tsu from nitime import algorithms as tsa from nitime import timeseries as ts from .base import BaseAnalyzer class SpectralAnalyzer(BaseAnalyzer): """ Analyzer object for spectral analysis""" def __init__(self, input=None, method=None, BW=None, adaptive=False, low_bias=False): """ The initialization of the Parameters ---------- input: time-series objects method: dict (optional), The method spec used in calculating 'psd' see :func:`algorithms.get_spectra` for details. BW: float (optional), In 'spectrum_multi_taper' The bandwidth of the windowing function will determine the number tapers to use. This parameters represents trade-off between frequency resolution (lower main lobe BW for the taper) and variance reduction (higher BW and number of averaged estimates). adaptive : {True/False} In 'spectrum_multi_taper', use an adaptive weighting routine to combine the PSD estimates of different tapers. low_bias: {True/False} In spectrum_multi_taper, use bias correction Examples -------- >>> np.set_printoptions(precision=4) # for doctesting >>> t1 = ts.TimeSeries(data = np.arange(0,1024,1).reshape(2,512), ... sampling_rate=np.pi) >>> s1 = SpectralAnalyzer(t1) >>> s1.method['this_method'] 'welch' >>> s1.method['Fs'] # doctest: +ELLIPSIS 3.1415926535... Hz >>> f,s = s1.psd >>> f array([ 0. , 0.0491, 0.0982, 0.1473, 0.1963, 0.2454, 0.2945, 0.3436, 0.3927, 0.4418, 0.4909, 0.54 , 0.589 , 0.6381, 0.6872, 0.7363, 0.7854, 0.8345, 0.8836, 0.9327, 0.9817, 1.0308, 1.0799, 1.129 , 1.1781, 1.2272, 1.2763, 1.3254, 1.3744, 1.4235, 1.4726, 1.5217, 1.5708]) >>> s[0,0] # doctest: +ELLIPSIS 1128276.92538360... """ BaseAnalyzer.__init__(self, input) self.method = method if self.method is None: self.method = {'this_method': 'welch', 'Fs': self.input.sampling_rate} self.BW = BW self.adaptive = adaptive self.low_bias = low_bias @desc.setattr_on_read def psd(self): """ The standard output for this analyzer is a tuple f,s, where: f is the frequency bands associated with the discrete spectral components and s is the PSD calculated using :func:`mlab.psd`. """ NFFT = self.method.get('NFFT', 64) Fs = self.input.sampling_rate detrend = self.method.get('detrend', tsa.mlab.detrend_none) window = self.method.get('window', tsa.mlab.window_hanning) n_overlap = self.method.get('n_overlap', int(np.ceil(NFFT / 2.0))) if np.iscomplexobj(self.input.data): psd_len = NFFT dt = complex else: psd_len = NFFT // 2 + 1 dt = float #If multi-channel data: if len(self.input.data.shape) > 1: psd_shape = (self.input.shape[:-1] + (psd_len,)) flat_data = np.reshape(self.input.data, (-1, self.input.data.shape[-1])) flat_psd = np.empty((flat_data.shape[0], psd_len), dtype=dt) for i in range(flat_data.shape[0]): #'f' are the center frequencies of the frequency bands #represented in the psd. These are identical in each iteration #of the loop, so they get reassigned into the same variable in #each iteration: temp, f = tsa.mlab.psd(flat_data[i], NFFT=NFFT, Fs=Fs, detrend=detrend, window=window, noverlap=n_overlap) flat_psd[i] = temp.squeeze() psd = np.reshape(flat_psd, psd_shape).squeeze() else: psd, f = tsa.mlab.psd(self.input.data, NFFT=NFFT, Fs=Fs, detrend=detrend, window=window, noverlap=n_overlap) return f, psd @desc.setattr_on_read def cpsd(self): """ This outputs both the PSD and the CSD calculated using :func:`algorithms.get_spectra`. Returns ------- (f,s): tuple f: Frequency bands over which the psd/csd are calculated and s: the n by n by len(f) matrix of PSD (on the main diagonal) and CSD (off diagonal) """ self.welch_method = self.method self.welch_method['this_method'] = 'welch' self.welch_method['Fs'] = self.input.sampling_rate f, spectrum_welch = tsa.get_spectra(self.input.data, method=self.welch_method) return f, spectrum_welch @desc.setattr_on_read def periodogram(self): """ This is the spectrum estimated as the FFT of the time-series Returns ------- (f,spectrum): f is an array with the frequencies and spectrum is the complex-valued FFT. """ return tsa.periodogram(self.input.data, Fs=self.input.sampling_rate) @desc.setattr_on_read def spectrum_fourier(self): """ This is the spectrum estimated as the FFT of the time-series Returns ------- (f,spectrum): f is an array with the frequencies and spectrum is the complex-valued FFT. """ data = self.input.data sampling_rate = self.input.sampling_rate fft = fftpack.fft if np.any(np.iscomplex(data)): # Get negative frequencies, as well as positive: f = np.linspace(-sampling_rate/2., sampling_rate/2., data.shape[-1]) spectrum_fourier = np.fft.fftshift(fft(data)) else: f = tsu.get_freqs(sampling_rate, data.shape[-1]) spectrum_fourier = fft(data)[..., :f.shape[0]] return f, spectrum_fourier @desc.setattr_on_read def spectrum_multi_taper(self): """ The spectrum and cross-spectra, computed using :func:`multi_taper_csd' """ if np.iscomplexobj(self.input.data): psd_len = self.input.shape[-1] dt = complex else: psd_len = self.input.shape[-1] // 2 + 1 dt = float #Initialize the output spectrum_multi_taper = np.empty((self.input.shape[:-1] + (psd_len,)), dtype=dt) #If multi-channel data: if len(self.input.data.shape) > 1: for i in range(self.input.data.shape[0]): # 'f' are the center frequencies of the frequency bands # represented in the MT psd. These are identical in each # iteration of the loop, so they get reassigned into the same # variable in each iteration: f, spectrum_multi_taper[i], _ = tsa.multi_taper_psd( self.input.data[i], Fs=self.input.sampling_rate, BW=self.BW, adaptive=self.adaptive, low_bias=self.low_bias) else: f, spectrum_multi_taper, _ = tsa.multi_taper_psd(self.input.data, Fs=self.input.sampling_rate, BW=self.BW, adaptive=self.adaptive, low_bias=self.low_bias) return f, spectrum_multi_taper class FilterAnalyzer(desc.ResetMixin): """ A class for performing filtering operations on time-series and producing the filtered versions of the time-series Parameters ---------- time_series: A nitime TimeSeries object. lb,ub: float (optional) Lower and upper band of a pass-band into which the data will be filtered. Default: 0, Nyquist boxcar_iterations: int (optional) For box-car filtering, how many times to iterate over the data while convolving with a box-car function. Default: 2 gpass: float (optional) For iir filtering, the pass-band maximal ripple loss (default: 1) gstop: float (optional) For iir filtering, the stop-band minimal attenuation (default: 60). filt_order: int (optional) For iir/fir filtering, the order of the filter. Note for fir filtering, this needs to be an even number. Default: 64 iir_ftype: str (optional) The type of filter to be used in iir filtering (see scipy.signal.iirdesign for details). Default 'ellip' fir_win: str The window to be used in fir filtering (see scipy.signal.firwin for details). Default: 'hamming' Note ---- All filtering methods used here keep the original DC component of the signal. """ def __init__(self, time_series, lb=0, ub=None, boxcar_iterations=2, filt_order=64, gpass=1, gstop=60, iir_ftype='ellip', fir_win='hamming'): #Initialize all the local variables you will need for all the different #filtering methods: self._ts = time_series self.data = self._ts.data self.sampling_rate = self._ts.sampling_rate self.ub = ub self.lb = lb self.time_unit = self._ts.time_unit self._boxcar_iterations = boxcar_iterations self._gstop = gstop self._gpass = gpass self._filt_order = filt_order self._ftype = iir_ftype self._win = fir_win def filtfilt(self, b, a, in_ts=None): """ Zero-phase delay filtering (either iir or fir). Parameters ---------- a,b: filter coefficients in_ts: time-series object. This allows to replace the input. Instead of analyzing this analyzers input data, analyze some other time-series object Note ---- This is a wrapper around scipy.signal.filtfilt """ # Switch in the new in_ts: if in_ts is not None: data = in_ts.data Fs = in_ts.sampling_rate t0 = in_ts.t0 time_unit = in_ts.time_unit else: data = self._ts.data Fs = self._ts.sampling_rate t0 = self._ts.t0 time_unit = self._ts.time_unit # filtfilt only operates channel-by-channel, so we need to loop over # the channels, if the data is multi-channel data: if len(data.shape) > 1: out_data = np.empty(data.shape, dtype=data.dtype) for i in range(data.shape[0]): out_data[i] = signal.filtfilt(b, a, data[i]) # Make sure to preserve the DC: dc = np.mean(data[i]) out_data[i] = out_data[i] - np.mean(out_data[i]) out_data[i] = out_data[i] + dc else: out_data = signal.filtfilt(b, a, data) # Make sure to preserve the DC: dc = np.mean(data) out_data -= np.mean(out_data) out_data += dc return ts.TimeSeries(out_data, sampling_rate=Fs, time_unit=time_unit, t0=t0) @desc.setattr_on_read def fir(self): """ Filter the time-series using an FIR digital filter. Filtering is done back and forth (using scipy.signal.filtfilt) to achieve zero phase delay """ #Passband and stop-band are expressed as fraction of the Nyquist #frequency: if self.ub is not None: ub_frac = self.ub / (self.sampling_rate / 2.) else: ub_frac = 1.0 lb_frac = self.lb / (self.sampling_rate / 2.) if lb_frac < 0 or ub_frac > 1: e_s = "The lower-bound or upper bound used to filter" e_s += " are beyond the range 0-Nyquist. You asked for" e_s += " a filter between" e_s += "%s and %s percent of" % (lb_frac * 100, ub_frac * 100) e_s += "the Nyquist frequency" raise ValueError(e_s) n_taps = self._filt_order + 1 # This means the filter order you chose was too large (needs to be # shorter than a 1/3 of your time-series ) if n_taps > self.data.shape[-1] * 3: e_s = "The filter order chosen is too large for this time-series" raise ValueError(e_s) # a is always 1: a = [1] sig = ts.TimeSeries(data=self._ts.data, sampling_rate=self._ts.sampling_rate, t0=self._ts.t0) # Lowpass: if ub_frac < 1: b = signal.firwin(n_taps, ub_frac, window=self._win) sig = self.filtfilt(b, a, sig) # High-pass if lb_frac > 0: #Includes a spectral inversion: b = -1 * signal.firwin(n_taps, lb_frac, window=self._win) b[n_taps // 2] = b[n_taps // 2] + 1 sig = self.filtfilt(b, a, sig) return sig @desc.setattr_on_read def iir(self): """ Filter the time-series using an IIR filter. Filtering is done back and forth (using scipy.signal.filtfilt) to achieve zero phase delay """ #Passband and stop-band are expressed as fraction of the Nyquist #frequency: if self.ub is not None: ub_frac = self.ub / (self.sampling_rate / 2.) else: ub_frac = 1.0 lb_frac = self.lb / (self.sampling_rate / 2.) # For the band-pass: if lb_frac > 0 and ub_frac < 1: wp = [lb_frac, ub_frac] ws = [np.max([lb_frac - 0.1, 0]), np.min([ub_frac + 0.1, 1.0])] # For the lowpass: elif lb_frac == 0: wp = ub_frac ws = np.min([ub_frac + 0.1, 0.9]) # For the highpass: elif ub_frac == 1: wp = lb_frac ws = np.max([lb_frac - 0.1, 0.1]) b, a = signal.iirdesign(wp, ws, self._gpass, self._gstop, ftype=self._ftype) return self.filtfilt(b, a) @desc.setattr_on_read def filtered_fourier(self): """ Filter the time-series by passing it to the Fourier domain and null out the frequency bands outside of the range [lb,ub] """ freqs = tsu.get_freqs(self.sampling_rate, self.data.shape[-1]) if self.ub is None: self.ub = freqs[-1] power = fftpack.fft(self.data) idx_0 = np.hstack([np.where(freqs < self.lb)[0], np.where(freqs > self.ub)[0]]) #Make sure that you keep the DC component: keep_dc = np.copy(power[..., 0]) power[..., idx_0] = 0 power[..., -1 * idx_0] = 0 # Take care of the negative frequencies power[..., 0] = keep_dc # And put the DC back in when you're done: data_out = fftpack.ifft(power) data_out = np.real(data_out) # In order to make sure that you are not # left with float-precision residual # complex parts return ts.TimeSeries(data=data_out, sampling_rate=self.sampling_rate, time_unit=self.time_unit, t0=self._ts.t0) @desc.setattr_on_read def filtered_boxcar(self): """ Filter the time-series by a boxcar filter. The low pass filter is implemented by convolving with a boxcar function of the right length and amplitude and the high-pass filter is implemented by subtracting a low-pass version (as above) from the signal """ if self.ub is not None: ub = self.ub / self.sampling_rate else: ub = 1.0 lb = self.lb / self.sampling_rate data_out = tsa.boxcar_filter(np.copy(self.data), lb=lb, ub=ub, n_iterations=self._boxcar_iterations) return ts.TimeSeries(data=data_out, sampling_rate=self.sampling_rate, time_unit=self.time_unit, t0=self._ts.t0) class HilbertAnalyzer(BaseAnalyzer): """Analyzer class for extracting the Hilbert transform """ def __init__(self, input=None): """Constructor function for the Hilbert analyzer class. Parameters ---------- input: TimeSeries """ BaseAnalyzer.__init__(self, input) @desc.setattr_on_read def analytic(self): """The natural output for this analyzer is the analytic signal """ data = self.input.data sampling_rate = self.input.sampling_rate hilbert = signal.hilbert return ts.TimeSeries(data=hilbert(data), sampling_rate=sampling_rate) @desc.setattr_on_read def amplitude(self): return ts.TimeSeries(data=np.abs(self.analytic.data), sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def phase(self): return ts.TimeSeries(data=np.angle(self.analytic.data), sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def real(self): return ts.TimeSeries(data=self.analytic.data.real, sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def imag(self): return ts.TimeSeries(data=self.analytic.data.imag, sampling_rate=self.analytic.sampling_rate) class MorletWaveletAnalyzer(BaseAnalyzer): """Analyzer class for extracting the (complex) Morlet wavelet transform """ def __init__(self, input=None, freqs=None, sd_rel=.2, sd=None, f_min=None, f_max=None, nfreqs=None, log_spacing=False, log_morlet=False): """Constructor function for the Wavelet analyzer class. Parameters ---------- freqs: list or float List of center frequencies for the wavelet transform, or a scalar for a single band-passed signal. sd: list or float List of filter bandwidths, given as standard-deviation of center frequencies. Alternatively sd_rel can be specified. sd_rel: float Filter bandwidth, given as a fraction of the center frequencies. f_min: float Minimal frequency. f_max: float Maximal frequency. nfreqs: int Number of frequencies. log_spacing: bool If true, frequencies will be evenly spaced on a log-scale. Default: False log_morlet: bool If True, a log-Morlet wavelet is used, if False, a regular Morlet wavelet is used. Default: False """ BaseAnalyzer.__init__(self, input) self.freqs = freqs self.sd_rel = sd_rel self.sd = sd self.f_min = f_min self.f_max = f_max self.nfreqs = nfreqs self.log_spacing = log_spacing self.log_morlet = log_morlet if log_morlet: self.wavelet = tsa.wlogmorlet else: self.wavelet = tsa.wmorlet if freqs is not None: self.freqs = np.array(freqs) elif f_min is not None and f_max is not None and nfreqs is not None: if log_spacing: self.freqs = np.logspace(np.log10(f_min), np.log10(f_max), num=nfreqs, endpoint=True) else: self.freqs = np.linspace(f_min, f_max, num=nfreqs, endpoint=True) else: raise NotImplementedError if sd is None: self.sd = self.freqs * self.sd_rel @desc.setattr_on_read def analytic(self): """The natural output for this analyzer is the analytic signal""" data = self.input.data sampling_rate = self.input.sampling_rate a_signal =\ ts.TimeSeries(data=np.zeros(self.freqs.shape + data.shape, dtype='D'), sampling_rate=sampling_rate) if self.freqs.ndim == 0: w = self.wavelet(self.freqs, self.sd, sampling_rate=sampling_rate, ns=5, normed='area') # nd = (w.shape[0] - 1) / 2 a_signal.data[...] = (np.convolve(data, np.real(w), mode='same') + 1j * np.convolve(data, np.imag(w), mode='same')) else: for i, (f, sd) in enumerate(zip(self.freqs, self.sd)): w = self.wavelet(f, sd, sampling_rate=sampling_rate, ns=5, normed='area') # nd = (w.shape[0] - 1) / 2 a_signal.data[i, ...] = ( np.convolve(data, np.real(w), mode='same') + 1j * np.convolve(data, np.imag(w), mode='same')) return a_signal @desc.setattr_on_read def amplitude(self): return ts.TimeSeries(data=np.abs(self.analytic.data), sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def phase(self): return ts.TimeSeries(data=np.angle(self.analytic.data), sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def real(self): return ts.TimeSeries(data=self.analytic.data.real, sampling_rate=self.analytic.sampling_rate) @desc.setattr_on_read def imag(self): return ts.TimeSeries(data=self.analytic.data.imag, sampling_rate=self.analytic.sampling_rate) nitime-rel-0.8.1/nitime/analysis/tests/000077500000000000000000000000001350450615100200375ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/analysis/tests/__init__.py000066400000000000000000000000001350450615100221360ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/analysis/tests/test_base.py000066400000000000000000000006471350450615100223710ustar00rootroot00000000000000 from nitime.analysis.base import BaseAnalyzer import numpy.testing as npt def test_base(): """Testing BaseAnalyzer""" empty_dict = {} input1 = '123' A = BaseAnalyzer(input=input1) npt.assert_equal(A.input, input1) npt.assert_equal(A.parameters, empty_dict) input2 = '456' A.set_input(input2) npt.assert_equal(A.input, input2) npt.assert_equal(A.__repr__(), 'BaseAnalyzer()') nitime-rel-0.8.1/nitime/analysis/tests/test_coherence.py000066400000000000000000000177021350450615100234120ustar00rootroot00000000000000import warnings import numpy as np import numpy.testing as npt import matplotlib import matplotlib.mlab as mlab import pytest import nitime.timeseries as ts import nitime.analysis as nta import platform # Some tests might require python version 2.5 or above: if float(platform.python_version()[:3]) < 2.5: old_python = True else: old_python = False # Matplotlib older than 0.99 will have some issues with the normalization of t if float(matplotlib.__version__[:3]) < 0.99: w_s = "You have a relatively old version of Matplotlib. " w_s += " Estimation of the PSD DC component might not be as expected" w_s += " Consider updating Matplotlib: http://matplotlib.sourceforge.net/" warnings.warn(w_s, Warning) old_mpl = True else: old_mpl = False def test_CoherenceAnalyzer(): methods = (None, {"this_method": 'welch', "NFFT": 256}, {"this_method": 'multi_taper_csd'}, {"this_method": 'periodogram_csd', "NFFT": 256}) Fs = np.pi t = np.arange(1024) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) # Third time-series used for calculation of partial coherence: z = np.sin(10 * t) T = ts.TimeSeries(np.vstack([x, y, z]), sampling_rate=np.pi) n_series = T.shape[0] for unwrap in [True, False]: for method in methods: C = nta.CoherenceAnalyzer(T, method, unwrap_phases=unwrap) if method is None: # This is the default behavior (grab the NFFT from the number # of frequencies): npt.assert_equal(C.coherence.shape, (n_series, n_series, C.frequencies.shape[0])) elif (method['this_method'] == 'welch' or method['this_method'] == 'periodogram_csd'): npt.assert_equal(C.coherence.shape, (n_series, n_series, method['NFFT'] // 2 + 1)) else: npt.assert_equal(C.coherence.shape, (n_series, n_series, len(t) // 2 + 1)) # Coherence symmetry: npt.assert_equal(C.coherence[0, 1], C.coherence[1, 0]) # Phase/delay asymmetry: npt.assert_equal(C.phase[0, 1], -1 * C.phase[1, 0]) # The very first one is a nan, test from second and onwards: npt.assert_almost_equal(C.delay[0, 1][1:], -1 * C.delay[1, 0][1:]) if method is not None and method['this_method'] == 'welch': S = nta.SpectralAnalyzer(T, method) npt.assert_almost_equal(S.cpsd[0], C.frequencies) npt.assert_almost_equal(S.cpsd[1], C.spectrum) # Test that partial coherence runs through and has the right number # of dimensions: npt.assert_equal(len(C.coherence_partial.shape), 4) @pytest.mark.skipif(old_mpl, reason="Old MPL") def test_SparseCoherenceAnalyzer(): Fs = np.pi t = np.arange(256) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) C1 = nta.SparseCoherenceAnalyzer(T, ij=((0, 1), (1, 0))) C2 = nta.CoherenceAnalyzer(T) # Coherence symmetry: npt.assert_almost_equal(np.abs(C1.coherence[0, 1]), np.abs(C1.coherence[1, 0])) npt.assert_almost_equal(np.abs(C1.coherency[0, 1]), np.abs(C1.coherency[1, 0])) # Make sure you get the same answers as you would from the standard # CoherenceAnalyzer: npt.assert_almost_equal(C2.coherence[0, 1], C1.coherence[0, 1]) # This is the PSD (for the first time-series in the object): npt.assert_almost_equal(C2.spectrum[0, 0], C1.spectrum[0]) # And the second (for good measure): npt.assert_almost_equal(C2.spectrum[1, 1], C1.spectrum[1]) # The relative phases should be equal npt.assert_almost_equal(C2.phase[0, 1], C1.relative_phases[0, 1]) # But not the absolute phases (which have the same shape): npt.assert_equal(C1.phases[0].shape, C1.relative_phases[0, 1].shape) # The delay is equal: npt.assert_almost_equal(C2.delay[0, 1], C1.delay[0, 1]) # Make sure that you would get an error if you provided a method other than # 'welch': with pytest.raises(ValueError) as e_info: nta.SparseCoherenceAnalyzer(T, method=dict(this_method='foo')) def test_MTCoherenceAnalyzer(): """Test the functionality of the multi-taper spectral coherence """ Fs = np.pi t = np.arange(256) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) n_series = T.shape[0] NFFT = t.shape[0] // 2 + 1 for adaptive in [True, False]: C = nta.MTCoherenceAnalyzer(T, adaptive=adaptive) npt.assert_equal(C.frequencies.shape[0], NFFT) npt.assert_equal(C.coherence.shape, (n_series, n_series, NFFT)) npt.assert_equal(C.confidence_interval.shape, (n_series, n_series, NFFT)) @pytest.mark.skipif(old_python, reason="Old Python") def test_warn_short_tseries(): """ A warning is provided when the time-series is shorter than the NFFT + n_overlap. The implementation of this test is based on this: http://docs.python.org/library/warnings.html#testing-warnings """ with warnings.catch_warnings(record=True) as w: # Cause all warnings to always be triggered. warnings.simplefilter("always") # Trigger a warning. # The following should throw a warning, because 70 is smaller than the # default NFFT=64 + n_overlap=32: nta.CoherenceAnalyzer(ts.TimeSeries(np.random.rand(2, 70), sampling_rate=1)) # Verify some things npt.assert_equal(len(w), 1) def test_SeedCoherenceAnalyzer(): """ Test the SeedCoherenceAnalyzer """ methods = (None, {"this_method": 'welch', "NFFT": 256}, {"this_method": 'multi_taper_csd'}, {"this_method": 'periodogram_csd', "NFFT": 256}) Fs = np.pi t = np.arange(256) seed1 = np.sin(10 * t) + np.random.rand(t.shape[-1]) seed2 = np.sin(10 * t) + np.random.rand(t.shape[-1]) target = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([seed1, target]), sampling_rate=Fs) T_seed1 = ts.TimeSeries(seed1, sampling_rate=Fs) T_seed2 = ts.TimeSeries(np.vstack([seed1, seed2]), sampling_rate=Fs) T_target = ts.TimeSeries(np.vstack([seed1, target]), sampling_rate=Fs) for this_method in methods: if this_method is None or this_method['this_method'] == 'welch': C1 = nta.CoherenceAnalyzer(T, method=this_method) C2 = nta.SeedCoherenceAnalyzer(T_seed1, T_target, method=this_method) C3 = nta.SeedCoherenceAnalyzer(T_seed2, T_target, method=this_method) npt.assert_almost_equal(C1.coherence[0, 1], C2.coherence[1]) npt.assert_almost_equal(C2.coherence[1], C3.coherence[0, 1]) npt.assert_almost_equal(C1.phase[0, 1], C2.relative_phases[1]) npt.assert_almost_equal(C1.delay[0, 1], C2.delay[1]) else: with pytest.raises(ValueError) as e_info: nta.SeedCoherenceAnalyzer(T_seed1, T_target, this_method) def test_SeedCoherenceAnalyzer_same_Fs(): """ Providing two time-series with different sampling rates throws an error """ Fs1 = np.pi Fs2 = 2 * np.pi t = np.arange(256) T1 = ts.TimeSeries(np.random.rand(t.shape[-1]), sampling_rate=Fs1) T2 = ts.TimeSeries(np.random.rand(t.shape[-1]), sampling_rate=Fs2) with pytest.raises(ValueError) as e_info: nta.SeedCoherenceAnalyzer(T1, T2) nitime-rel-0.8.1/nitime/analysis/tests/test_correlation.py000066400000000000000000000016611350450615100237750ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime.timeseries as ts import nitime.analysis as nta def test_SeedCorrelationAnalyzer(): targ = ts.TimeSeries(np.random.rand(10, 10), sampling_interval=1) # Test single source case seed = ts.TimeSeries(np.random.rand(10), sampling_interval=1) corr = nta.SeedCorrelationAnalyzer(seed, targ) our_coef_array = corr.corrcoef np_coef_array = np.array([np.corrcoef(seed.data, a)[0, 1] for a in targ.data]) npt.assert_array_almost_equal(our_coef_array, np_coef_array) # Test multiple sources seed = ts.TimeSeries(np.random.rand(2, 10), sampling_interval=1) corr = nta.SeedCorrelationAnalyzer(seed, targ) our_coef_array = corr.corrcoef for source in [0, 1]: np_coef_array = np.array( [np.corrcoef(seed.data[source], a)[0, 1] for a in targ.data]) npt.assert_array_almost_equal(our_coef_array[source], np_coef_array) nitime-rel-0.8.1/nitime/analysis/tests/test_granger.py000066400000000000000000000065661350450615100231120ustar00rootroot00000000000000""" Testing the analysis.granger submodule """ import numpy as np import numpy.testing as npt import nitime.analysis.granger as gc import nitime.utils as utils import nitime.timeseries as ts def test_model_fit(): """ Testing of model fitting procedure of the nitime.analysis.granger module. """ # Start by generating some MAR processes (according to Ding and Bressler), a1 = np.array([[0.9, 0], [0.16, 0.8]]) a2 = np.array([[-0.5, 0], [-0.2, -0.5]]) am = np.array([-a1, -a2]) x_var = 1 y_var = 0.7 xy_cov = 0.4 cov = np.array([[x_var, xy_cov], [xy_cov, y_var]]) #Number of realizations of the process N = 500 #Length of each realization: L = 1024 order = am.shape[0] n_lags = order + 1 n_process = am.shape[-1] z = np.empty((N, n_process, L)) nz = np.empty((N, n_process, L)) for i in range(N): z[i], nz[i] = utils.generate_mar(am, cov, L) # First we test that the model fitting procedure recovers the coefficients, # on average: Rxx = np.empty((N, n_process, n_process, n_lags)) coef = np.empty((N, n_process, n_process, order)) ecov = np.empty((N, n_process, n_process)) for i in range(N): this_order, this_Rxx, this_coef, this_ecov = gc.fit_model(z[i][0], z[i][1], order=2) Rxx[i] = this_Rxx coef[i] = this_coef ecov[i] = this_ecov npt.assert_almost_equal(cov, np.mean(ecov, axis=0), decimal=1) npt.assert_almost_equal(am, np.mean(coef, axis=0), decimal=1) # Next we test that the automatic model order estimation procedure works: est_order = [] for i in range(N): this_order, this_Rxx, this_coef, this_ecov = gc.fit_model(z[i][0], z[i][1]) est_order.append(this_order) npt.assert_almost_equal(order, np.mean(est_order), decimal=1) def test_GrangerAnalyzer(): """ Testing the GrangerAnalyzer class, which simplifies calculations of related quantities """ # Start by generating some MAR processes (according to Ding and Bressler), a1 = np.array([[0.9, 0], [0.16, 0.8]]) a2 = np.array([[-0.5, 0], [-0.2, -0.5]]) am = np.array([-a1, -a2]) x_var = 1 y_var = 0.7 xy_cov = 0.4 cov = np.array([[x_var, xy_cov], [xy_cov, y_var]]) L = 1024 z, nz = utils.generate_mar(am, cov, L) # Move on to testing the Analyzer object itself: ts1 = ts.TimeSeries(data=z, sampling_rate=np.pi) g1 = gc.GrangerAnalyzer(ts1) # Check that things have the right shapes: npt.assert_equal(g1.frequencies.shape[-1], g1._n_freqs // 2 + 1) npt.assert_equal(g1.causality_xy[0, 1].shape, g1.causality_yx[0, 1].shape) # Test inputting ij: g2 = gc.GrangerAnalyzer(ts1, ij=[(0, 1), (1, 0)]) # g1 agrees with g2 npt.assert_almost_equal(g1.causality_xy[0, 1], g2.causality_xy[0, 1]) npt.assert_almost_equal(g1.causality_yx[0, 1], g2.causality_yx[0, 1]) # x => y for one is like y => x for the other: npt.assert_almost_equal(g2.causality_yx[1, 0], g2.causality_xy[0, 1]) npt.assert_almost_equal(g2.causality_xy[1, 0], g2.causality_yx[0, 1]) nitime-rel-0.8.1/nitime/analysis/tests/test_snr.py000066400000000000000000000014151350450615100222530ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import matplotlib.mlab as mlab import nitime.timeseries as ts import nitime.analysis as nta def test_SNRAnalyzer(): Fs = np.pi t = np.arange(1024) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) MT = nta.MTCoherenceAnalyzer(T) SNR = nta.SNRAnalyzer(T) MT_signal = nta.SpectralAnalyzer(ts.TimeSeries(np.mean(T.data, 0), sampling_rate=Fs)) npt.assert_equal(SNR.mt_frequencies, MT.frequencies) npt.assert_equal(SNR.signal, np.mean(T.data, 0)) f, c = MT_signal.spectrum_multi_taper npt.assert_almost_equal(SNR.mt_signal_psd, c) nitime-rel-0.8.1/nitime/data/000077500000000000000000000000001350450615100157635ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/data/event_related_fmri.csv000066400000000000000000002460761350450615100223550ustar00rootroot00000000000000bold,events -0.20341448605092113,0.0 -0.09697810537364232,4.0 0.22632252890696219,0.0 0.55492460511189612,0.0 0.88103317926631064,4.0 1.0611220149660194,0.0 1.1931620110180625,0.0 1.1086519279080755,4.0 0.92349245810911385,0.0 0.51511291992107933,0.0 0.068634309578555167,0.0 -0.27019493824062701,0.0 -0.73824368108749638,0.0 -0.92189830895686942,0.0 -0.77605367370405787,0.0 -0.66959339550383579,0.0 -0.508658209043375,4.0 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9h8H qϨ,ܡy݋Q`̌7 aW~w ASZwVOFh?oV̮`@G[/3çǖa\`9Dڛl|:*ZP{>eצJI3^d(WGO}Ʈoy!=i xh ~ifHws7DF KC;|w[e c3-sjI3_Еs&`Kwxt_܃z)u =?HiϼF̆N»\㪡ya}C0_tѳ cR]9l1?_N-F"ӽ_϶&D}=Ų7iT< vӢX?2{mcScWݟEq5<#9C2xt88g5N|#_%U0 K7!ghB0>yN9/^Od4]KѸzվݸ٘S5eaG9>A)_h]Q^ZRn5?G$78r3 t@y-KYU.#OmH3=Gc;bi2}"^Og<6mG?%T Ɩ)45#ߖDO==2 T}7^4wDYi&^f#5|wă{Rg?ʈF(?[ 2Jk<Q@4bfIp-5)գOUo5S?_'CwGg܇3sr,M &>Pkl׬uA VZKtjt16eH x02bPQpe,xr˥7-'|Ю)Op.Jܽ|IZ@ a?sWx ZE׫\hQZ><$7/ nc|E[ [mZxFݩn8|$Vɻ16b|j&4_=˞^246`eb^7L:7X'-XX]cfvK=C 8CNs ˿wE}-Sr t)W<ɗ*-];7-T$G;羏cFˌc@@5nitime-rel-0.8.1/nitime/data/fmri_timeseries.csv000066400000000000000000002026341350450615100216750ustar00rootroot00000000000000"WM","Vent","Brain","LCau","LPut","LThal","LFpol","LAng","LSupraM","LMTG","LHip","LPostPHG","APHG","LAmy","LParaCing","LPCC","LPrec","RCau","RPut","RThal","RFpol","RAng","RSupraM","RMTG","RHip","RPostPHG","RAntPHG","RAmy","RParaCing","RPCC","RPrec" 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9998650 0.276483 9998700 0.322622 9998750 0.367286 9998800 0.406272 9998850 0.43541 9998900 0.451464 9998950 0.452887 9999000 0.440166 9999050 0.415631 9999100 0.382809 9999150 0.345612 9999200 0.307606 9999250 0.271555 9999300 0.239277 9999350 0.211722 9999400 0.189188 9999450 0.171554 9999500 0.158485 9999550 0.149575 9999600 0.144436 9999650 0.142738 9999700 0.144213 9999750 0.148636 9999800 0.155778 9999850 0.165361 9999900 0.176984 9999950 0.190082 nitime-rel-0.8.1/nitime/descriptors.py000066400000000000000000000134321350450615100177700ustar00rootroot00000000000000"""Descriptor support for NIPY. Utilities to support special Python descriptors [1,2], in particular the use of a useful pattern for properties we call 'one time properties'. These are object attributes which are declared as properties, but become regular attributes once they've been read the first time. They can thus be evaluated later in the object's life cycle, but once evaluated they become normal, static attributes with no function call overhead on access or any other constraints. A special ResetMixin class is provided to add a .reset() method to users who may want to have their objects capable of resetting these computed properties to their 'untriggered' state. References ---------- [1] How-To Guide for Descriptors, Raymond Hettinger. http://users.rcn.com/python/download/Descriptor.htm [2] Python data model, http://docs.python.org/reference/datamodel.html """ #----------------------------------------------------------------------------- # Classes and Functions #----------------------------------------------------------------------------- class ResetMixin(object): """A Mixin class to add a .reset() method to users of OneTimeProperty. By default, auto attributes once computed, become static. If they happen to depend on other parts of an object and those parts change, their values may now be invalid. This class offers a .reset() method that users can call *explicitly* when they know the state of their objects may have changed and they want to ensure that *all* their special attributes should be invalidated. Once reset() is called, all their auto attributes are reset to their OneTimeProperty descriptors, and their accessor functions will be triggered again. Warning ------- If a class has a set of attributes that are OneTimeProperty, but that can be initialized from any one of them, do NOT use this mixin! For instance, UniformTimeSeries can be initialized with only sampling_rate and t0, sampling_interval and time are auto-computed. But if you were to reset() a UniformTimeSeries, it would lose all 4, and there would be then no way to break the circular dependency chains. If this becomes a problem in practice (for our analyzer objects it isn't, as they don't have the above pattern), we can extend reset() to check for a _no_reset set of names in the instance which are meant to be kept protected. But for now this is NOT done, so caveat emptor. Example ------- >>> class A(ResetMixin): ... def __init__(self,x=1.0): ... self.x = x ... ... @auto_attr ... def y(self): ... print('*** y computation executed ***') ... return self.x / 2.0 ... >>> a = A(10) About to access y twice, the second time no computation is done: >>> a.y *** y computation executed *** 5.0 >>> a.y 5.0 Changing x >>> a.x = 20 a.y doesn't change to 10, since it is a static attribute: >>> a.y 5.0 We now reset a, and this will then force all auto attributes to recompute the next time we access them: >>> a.reset() About to access y twice again after reset(): >>> a.y *** y computation executed *** 10.0 >>> a.y 10.0 """ def reset(self): """Reset all OneTimeProperty attributes that may have fired already.""" instdict = self.__dict__ classdict = self.__class__.__dict__ # To reset them, we simply remove them from the instance dict. At that # point, it's as if they had never been computed. On the next access, # the accessor function from the parent class will be called, simply # because that's how the python descriptor protocol works. for mname, mval in classdict.items(): if mname in instdict and isinstance(mval, OneTimeProperty): delattr(self, mname) class OneTimeProperty(object): """A descriptor to make special properties that become normal attributes. This is meant to be used mostly by the auto_attr decorator in this module. """ def __init__(self, func): """Create a OneTimeProperty instance. Parameters ---------- func : method The method that will be called the first time to compute a value. Afterwards, the method's name will be a standard attribute holding the value of this computation. """ self.getter = func self.name = func.__name__ def __get__(self, obj, type=None): """This will be called on attribute access on the class or instance.""" if obj is None: # Being called on the class, return the original function. This # way, introspection works on the class. # return func return self.getter # Errors in the following line are errors in setting a # OneTimeProperty val = self.getter(obj) setattr(obj, self.name, val) return val def auto_attr(func): """Decorator to create OneTimeProperty attributes. Parameters ---------- func : method The method that will be called the first time to compute a value. Afterwards, the method's name will be a standard attribute holding the value of this computation. Examples -------- >>> class MagicProp(object): ... @auto_attr ... def a(self): ... return 99 ... >>> x = MagicProp() >>> 'a' in x.__dict__ False >>> x.a 99 >>> 'a' in x.__dict__ True """ return OneTimeProperty(func) #----------------------------------------------------------------------------- # Deprecated API #----------------------------------------------------------------------------- # For backwards compatibility setattr_on_read = auto_attr nitime-rel-0.8.1/nitime/fmri/000077500000000000000000000000001350450615100160075ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/fmri/__init__.py000066400000000000000000000006201350450615100201160ustar00rootroot00000000000000""" Support for fMRI analysis in nitime: This includes: - ``io``: input and output of fMRI files to time-series objects """ from __future__ import print_function try: from . import io except ImportError as e: # allow import of fmri, since hrf does not depend on nibabel if 'babel' in e.args[0]: print(e.args[0]) else: raise e from . import hrf from . import tests nitime-rel-0.8.1/nitime/fmri/hrf.py000066400000000000000000000056011350450615100171420ustar00rootroot00000000000000from __future__ import print_function import numpy as np from scipy.special import factorial def gamma_hrf(duration, A=1., tau=1.08, n=3, delta=2.05, Fs=1.0): r"""A gamma function hrf model, with two parameters, based on [Boynton1996]_ Parameters ---------- duration: float the length of the HRF (in the inverse units of the sampling rate) A: float a scaling factor, sets the max of the function, defaults to 1 tau: float The time constant of the gamma function, defaults to 1.08 n: int The phase delay of the gamma function, defaults to 3 delta: float A pure delay, allowing for an additional delay from the onset of the time-series to the beginning of the gamma hrf, defaults to 2.05 Fs: float The sampling rate, defaults to 1.0 Returns ------- h: the gamma function hrf, as a function of time Notes ----- This is based on equation 3 in Boynton (1996): .. math:: h(t) = \frac{(\frac{t-\delta}{\tau})^{(n-1)} e^{-(\frac{t-\delta}{\tau})}}{\tau(n-1)!} Geoffrey M. Boynton, Stephen A. Engel, Gary H. Glover and David J. Heeger (1996). Linear Systems Analysis of Functional Magnetic Resonance Imaging in Human V1. J Neurosci 16: 4207-4221 """ # XXX Maybe change to take out the time (Fs, duration, etc) from this and # instead implement this in units of sampling interval (pushing the time # aspect to the higher level)? if type(n) is not int: print(('gamma_hrf received unusual input, converting n from %s to %i' % (str(n), int(n)))) n = int(n) #Prevent negative delta values: if delta < 0: raise ValueError('in gamma_hrf, delta cannot be smaller than 0') #Prevent cases in which the delta is larger than the entire hrf: if delta > duration: e_s = 'in gamma_hrf, delta cannot be larger than the duration' raise ValueError(e_s) t_max = duration - delta t = np.hstack([np.zeros((delta * Fs)), np.linspace(0, t_max, t_max * Fs)]) t_tau = t / tau h = (t_tau ** (n - 1) * np.exp(-1 * (t_tau)) / (tau * factorial(n - 1))) return A * h / max(h) def polonsky_hrf(A, B, tau1, f1, tau2, f2, t_max, Fs=1.0): r""" HRF based on Polonsky (2000): .. math:: H(t) = exp(\frac{-t}{\tau_1}) sin(2\cdot\pi f_1 \cdot t) -a\cdot exp(-\frac{t}{\tau_2})*sin(2\pi f_2 t) Alex Polonsky, Randolph Blake, Jochen Braun and David J. Heeger (2000). Neuronal activity in human primary visual cortex correlates with perception during binocular rivalry. Nature Neuroscience 3: 1153-1159 """ sampling_interval = 1 / float(Fs) t = np.arange(0, t_max, sampling_interval) h = (np.exp(-t / tau1) * np.sin(2 * np.pi * f1 * t) - (B * np.exp(-t / tau2) * np.sin(2 * np.pi * f2 * t))) return A * h / max(h) nitime-rel-0.8.1/nitime/fmri/io.py000066400000000000000000000215671350450615100170030ustar00rootroot00000000000000""" Input and output for fmri data files""" from __future__ import print_function try: from nibabel import load except ImportError: e_s = "nibabel required for fmri I/O. See http://nipy.org/nibabel" raise ImportError(e_s) import nitime.timeseries as ts import nitime.analysis as tsa import numpy as np def time_series_from_file(nifti_files, coords=None, TR=None, normalize=None, average=False, filter=None, verbose=False): """ Make a time series from a Analyze file, provided coordinates into the file Parameters ---------- nifti_files: a string or a list/tuple of strings. The full path(s) to the file(s) from which the time-series is (are) extracted coords: ndarray or list/tuple of ndarray, optional. x,y,z (inplane,inplane,slice) coordinates of the ROI(s) from which the time-series is (are) derived. If coordinates are provided, the resulting time-series object will have 2 dimentsions. The first is the coordinate dimension, in order of the provided coordinates and the second is time. If set to None, all the coords in the volume will be used and the coordinate system will be preserved - the output will be 4 dimensional, with time as the last dimension. TR: float or TimeArray, optional The TR of the fmri measurement. The units are seconds, if provided as a float argument. Otherwise, in the units of the TimeArray object provided. Default: 1 second. normalize: bool, optional Whether to normalize the activity in each voxel, defaults to None, in which case the original fMRI signal is used. Other options are: 'percent': the activity in each voxel is converted to percent change, relative to this scan. 'zscore': the activity is converted to a zscore relative to the mean and std in this voxel in this scan. average: bool, optional whether to average the time-series across the voxels in the ROI (assumed to be the first dimension). In which case, TS.data will be 1-d filter: dict, optional If provided with a dict of the form: {'lb':float or 0, 'ub':float or None, 'method':'fourier','boxcar' 'fir' or 'iir' } each voxel's data will be filtered into the frequency range [lb,ub] with nitime.analysis.FilterAnalyzer, using the method chosen here (defaults to 'fir') verbose: Whether to report on ROI and file being read. Returns ------- time-series object Note ---- Normalization occurs before averaging on a voxel-by-voxel basis, followed by the averaging. """ # The default behavior is to assume that the TR is one second: if TR is None: TR = 1.0 if normalize is not None: if normalize not in ('percent', 'zscore'): e_s = "Normalization of fMRI time-series can only be done" e_s += " using 'percent' or 'zscore' as input" raise ValueError(e_s) #If just one string was provided: if isinstance(nifti_files, str): if verbose: print("Reading %s" % nifti_files) im = load(nifti_files) data = im.get_data() # If coordinates are provided as input, read data only from these coordinates: if coords is not None: #If the input is the coords of several ROIs if isinstance(coords, tuple) or isinstance(coords, list): n_roi = len(coords) tseries = [[]] * n_roi for i in range(n_roi): tseries[i] = _tseries_from_nifti_helper( np.array(coords[i]).astype(int), data, TR, filter, normalize, average) else: tseries = _tseries_from_nifti_helper(coords.astype(int), data, TR, filter, normalize, average) # The default behavior reads in all the coordinates in the volume: else: tseries = _tseries_from_nifti_helper(coords, data, TR, filter, normalize, average) #Otherwise loop over the files and concatenate: elif isinstance(nifti_files, tuple) or isinstance(nifti_files, list): tseries_list = [] for f in nifti_files: if verbose: print("Reading %s" % f) im = load(f) data = im.get_data() if coords is not None: #If the input is the coords of several ROIs if isinstance(coords, tuple) or isinstance(coords, list): n_roi = len(coords) tseries_list.append([[]] * n_roi) for i in range(n_roi): tseries_list[-1][i] = _tseries_from_nifti_helper( np.array(coords[i]).astype(int), data, TR, filter, normalize, average) else: tseries_list.append(_tseries_from_nifti_helper( np.array(coords).astype(int), data, TR, filter, normalize, average)) # The default behavior reads in all the coordinates in the volume: else: tseries_list.append(_tseries_from_nifti_helper(coords, data, TR, filter, normalize, average)) #Concatenate the time-series from the different scans: if isinstance(coords, tuple) or isinstance(coords, list): tseries = [[]] * n_roi #Do this per ROI for i in range(n_roi): tseries[i] = ts.concatenate_time_series( [tseries_list[k][i] for k in range(len(tseries_list))]) else: tseries = ts.concatenate_time_series(tseries_list) return tseries def _tseries_from_nifti_helper(coords, data, TR, filter, normalize, average): """ Helper function for the function time_series_from_nifti, which does the core operations of pulling out data from a data array given coords and then normalizing and averaging if needed """ if coords is not None: out_data = np.asarray(data[coords[0], coords[1], coords[2]]) else: out_data = data tseries = ts.TimeSeries(out_data, sampling_interval=TR) if filter is not None: if filter['method'] not in ('boxcar', 'fourier', 'fir', 'iir'): e_s = "Filter method %s is not recognized" % filter['method'] raise ValueError(e_s) else: #Construct the key-word arguments to FilterAnalyzer: kwargs = dict(lb=filter.get('lb', 0), ub=filter.get('ub', None), boxcar_iterations=filter.get('boxcar_iterations', 2), filt_order=filter.get('filt_order', 64), gpass=filter.get('gpass', 1), gstop=filter.get('gstop', 60), iir_ftype=filter.get('iir_ftype', 'ellip'), fir_win=filter.get('fir_win', 'hamming')) F = tsa.FilterAnalyzer(tseries, **kwargs) if filter['method'] == 'boxcar': tseries = F.filtered_boxcar elif filter['method'] == 'fourier': tseries = F.filtered_fourier elif filter['method'] == 'fir': tseries = F.fir elif filter['method'] == 'iir': tseries = F.iir if normalize == 'percent': tseries = tsa.NormalizationAnalyzer(tseries).percent_change elif normalize == 'zscore': tseries = tsa.NormalizationAnalyzer(tseries).z_score if average: if coords is None: tseries.data = np.mean(np.reshape(tseries.data, (np.array(tseries.shape[:-1]).prod(), tseries.shape[-1])),0) else: tseries.data = np.mean(tseries.data, 0) return tseries def nifti_from_time_series(volume, coords, time_series, nifti_path): """Makes a Nifti file out of a time_series object Parameters ---------- volume: list (3-d, or 4-d) The total size of the nifti image to be created coords: 3*n_coords array The coords into which the time_series will be inserted. These need to be given in the order in which the time_series is organized time_series: a time-series object The time-series to be inserted into the file nifti_path: the full path to the file name which will be created """ # XXX Implement! raise NotImplementedError nitime-rel-0.8.1/nitime/fmri/tests/000077500000000000000000000000001350450615100171515ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/fmri/tests/__init__.py000066400000000000000000000000001350450615100212500ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/fmri/tests/test_io.py000066400000000000000000000051441350450615100211750ustar00rootroot00000000000000""" Test the io submodule of the fMRI module of nitime """ import os import numpy as np import numpy.testing as npt import pytest import nitime import nitime.timeseries as ts #Skip the tests if you can't import nibabel: try: import nitime.fmri.io as io no_nibabel = False no_nibabel_msg='' except ImportError as e: no_nibabel = True no_nibabel_msg=e.args[0] data_path = os.path.join(nitime.__path__[0],'data') @pytest.mark.skipif(no_nibabel, reason=no_nibabel_msg) def test_time_series_from_file(): """Testing reading of data from nifti files, using nibabel""" TR = 1.35 ts_ff = io.time_series_from_file #File names: fmri_file1 = os.path.join(data_path,'fmri1.nii.gz') fmri_file2 = os.path.join(data_path,'fmri2.nii.gz') #Spatial coordinates into the volumes: coords1 = np.array([[5,5,5,5],[5,5,5,5],[1,2,3,4]]) coords2 = np.array([[6,6,6,6],[6,6,6,6],[3,4,5,6]]) #No averaging, no normalization: t1 = ts_ff([fmri_file1,fmri_file2],[coords1,coords2],TR) npt.assert_equal(t1[0].shape,(4,80)) # 4 coordinates, 80 time-points t2 = ts_ff([fmri_file1,fmri_file2],[coords1,coords2],TR,average=True) npt.assert_equal(t2[0].shape,(80,)) # collapse coordinates,80 time-points t3 = ts_ff(fmri_file1,coords1,TR,normalize='zscore') #The mean of each channel should be almost equal to 0: npt.assert_almost_equal(t3.data[0].mean(),0) #And the standard deviation should be almost equal to 1: npt.assert_almost_equal(t3.data[0].std(),1) t4 = ts_ff(fmri_file1,coords1,TR,normalize='percent') #In this case, the average is almost equal to 0, but no constraint on the #std: npt.assert_almost_equal(t4.data[0].mean(),0) #Make sure that we didn't mess up the sampling interval: npt.assert_equal(t4.sampling_interval,nitime.TimeArray(1.35)) # Test the default behavior: data = io.load(fmri_file1).get_data() t5 = ts_ff(fmri_file1) npt.assert_equal(t5.shape, data.shape) npt.assert_equal(t5.sampling_interval, ts.TimeArray(1, time_unit='s')) # Test initializing TR with a TimeArray: t6= ts_ff(fmri_file1, TR=ts.TimeArray(1350, time_unit='ms')) npt.assert_equal(t4.sampling_interval, t6.sampling_interval) # Check the concatenation dimensions: t7 = ts_ff([fmri_file1, fmri_file2]) npt.assert_equal([t7.shape[:3], t7.shape[-1]], [data.shape[:3], data.shape[-1]*2]) t8 = ts_ff([fmri_file1, fmri_file2], average=True) npt.assert_equal(t8.shape[0], data.shape[-1]*2) t9 = ts_ff([fmri_file1, fmri_file2], average=True, normalize='zscore') npt.assert_almost_equal(t9.data.mean(), 0) nitime-rel-0.8.1/nitime/index_utils.py000066400000000000000000000347541350450615100177700ustar00rootroot00000000000000""" Utilities for indexing into 2-d arrays, brought in from numpy 1.4, to support use of older versions of numpy """ __all__ = ['tri', 'triu', 'tril', 'mask_indices', 'tril_indices', 'tril_indices_from', 'triu_indices', 'triu_indices_from', ] from numpy.core.numeric import asanyarray, subtract, arange, \ greater_equal, multiply, ones, asarray, where # Need to import numpy for the doctests! import numpy as np def tri(N, M=None, k=0, dtype=float): """ Construct an array filled with ones at and below the given diagonal. Parameters ---------- N : int Number of rows in the array. M : int, optional Number of columns in the array. By default, `M` is taken equal to `N`. k : int, optional The sub-diagonal below which the array is filled. `k` = 0 is the main diagonal, while `k` < 0 is below it, and `k` > 0 is above. The default is 0. dtype : dtype, optional Data type of the returned array. The default is float. Returns ------- T : (N,M) ndarray Array with a lower triangle filled with ones, in other words ``T[i,j] == 1`` for ``i <= j + k``. Examples -------- >>> np.tri(3, 5, 2, dtype=int) array([[1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 1, 1, 1]]) >>> np.tri(3, 5, -1) array([[ 0., 0., 0., 0., 0.], [ 1., 0., 0., 0., 0.], [ 1., 1., 0., 0., 0.]]) """ if M is None: M = N m = greater_equal(subtract.outer(arange(N), arange(M)),-k) return m.astype(dtype) def tril(m, k=0): """ Lower triangle of an array. Return a copy of an array with elements above the `k`-th diagonal zeroed. Parameters ---------- m : array_like, shape (M, N) Input array. k : int Diagonal above which to zero elements. `k = 0` is the main diagonal, `k < 0` is below it and `k > 0` is above. Returns ------- L : ndarray, shape (M, N) Lower triangle of `m`, of same shape and data-type as `m`. See Also -------- triu Examples -------- >>> np.tril([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1) array([[ 0, 0, 0], [ 4, 0, 0], [ 7, 8, 0], [10, 11, 12]]) """ m = asanyarray(m) out = multiply(tri(m.shape[0], m.shape[1], k=k, dtype=int),m) return out def triu(m, k=0): """ Upper triangle of an array. Construct a copy of a matrix with elements below the k-th diagonal zeroed. Please refer to the documentation for `tril`. See Also -------- tril Examples -------- >>> np.triu([[1,2,3],[4,5,6],[7,8,9],[10,11,12]], -1) array([[ 1, 2, 3], [ 4, 5, 6], [ 0, 8, 9], [ 0, 0, 12]]) """ m = asanyarray(m) out = multiply((1-tri(m.shape[0], m.shape[1], k-1, int)),m) return out # borrowed from John Hunter and matplotlib def vander(x, N=None): """ Generate a Van der Monde matrix. The columns of the output matrix are decreasing powers of the input vector. Specifically, the i-th output column is the input vector to the power of ``N - i - 1``. Such a matrix with a geometric progression in each row is named Van Der Monde, or Vandermonde matrix, from Alexandre-Theophile Vandermonde. Parameters ---------- x : array_like 1-D input array. N : int, optional Order of (number of columns in) the output. If `N` is not specified, a square array is returned (``N = len(x)``). Returns ------- out : ndarray Van der Monde matrix of order `N`. The first column is ``x^(N-1)``, the second ``x^(N-2)`` and so forth. References ---------- .. [1] Wikipedia, "Vandermonde matrix", http://en.wikipedia.org/wiki/Vandermonde_matrix Examples -------- >>> x = np.array([1, 2, 3, 5]) >>> N = 3 >>> np.vander(x, N) array([[ 1, 1, 1], [ 4, 2, 1], [ 9, 3, 1], [25, 5, 1]]) >>> np.column_stack([x**(N-1-i) for i in range(N)]) array([[ 1, 1, 1], [ 4, 2, 1], [ 9, 3, 1], [25, 5, 1]]) >>> x = np.array([1, 2, 3, 5]) >>> np.vander(x) array([[ 1, 1, 1, 1], [ 8, 4, 2, 1], [ 27, 9, 3, 1], [125, 25, 5, 1]]) """ x = asarray(x) if N is None: N=len(x) X = ones( (len(x),N), x.dtype) for i in range(N-1): X[:,i] = x**(N-i-1) return X def histogram2d(x,y, bins=10, range=None, normed=False, weights=None): """ Compute the bi-dimensional histogram of two data samples. Parameters ---------- x : array_like, shape(N,) A sequence of values to be histogrammed along the first dimension. y : array_like, shape(M,) A sequence of values to be histogrammed along the second dimension. bins : int or [int, int] or array_like or [array, array], optional The bin specification: * If int, the number of bins for the two dimensions (nx=ny=bins). * If [int, int], the number of bins in each dimension (nx, ny = bins). * If array_like, the bin edges for the two dimensions (x_edges=y_edges=bins). * If [array, array], the bin edges in each dimension (x_edges, y_edges = bins). range : array_like, shape(2,2), optional The leftmost and rightmost edges of the bins along each dimension (if not specified explicitly in the `bins` parameters): ``[[xmin, xmax], [ymin, ymax]]``. All values outside of this range will be considered outliers and not tallied in the histogram. normed : bool, optional If False, returns the number of samples in each bin. If True, returns the bin density, i.e. the bin count divided by the bin area. weights : array_like, shape(N,), optional An array of values ``w_i`` weighing each sample ``(x_i, y_i)``. Weights are normalized to 1 if `normed` is True. If `normed` is False, the values of the returned histogram are equal to the sum of the weights belonging to the samples falling into each bin. Returns ------- H : ndarray, shape(nx, ny) The bi-dimensional histogram of samples `x` and `y`. Values in `x` are histogrammed along the first dimension and values in `y` are histogrammed along the second dimension. xedges : ndarray, shape(nx,) The bin edges along the first dimension. yedges : ndarray, shape(ny,) The bin edges along the second dimension. See Also -------- histogram: 1D histogram histogramdd: Multidimensional histogram Notes ----- When `normed` is True, then the returned histogram is the sample density, defined such that: .. math:: \\sum_{i=0}^{nx-1} \\sum_{j=0}^{ny-1} H_{i,j} \\Delta x_i \\Delta y_j = 1 where `H` is the histogram array and :math:`\\Delta x_i \\Delta y_i` the area of bin `{i,j}`. Please note that the histogram does not follow the Cartesian convention where `x` values are on the abcissa and `y` values on the ordinate axis. Rather, `x` is histogrammed along the first dimension of the array (vertical), and `y` along the second dimension of the array (horizontal). This ensures compatibility with `histogramdd`. Examples -------- >>> x, y = np.random.randn(2, 100) >>> H, xedges, yedges = np.histogram2d(x, y, bins=(5, 8)) >>> H.shape, xedges.shape, yedges.shape ((5, 8), (6,), (9,)) """ from numpy import histogramdd try: N = len(bins) except TypeError: N = 1 if N != 1 and N != 2: xedges = yedges = asarray(bins, float) bins = [xedges, yedges] hist, edges = histogramdd([x,y], bins, range, normed, weights) return hist, edges[0], edges[1] def mask_indices(n,mask_func,k=0): """ Return the indices to access (n, n) arrays, given a masking function. Assume `mask_func` is a function that, for a square array a of size ``(n, n)`` with a possible offset argument `k`, when called as ``mask_func(a, k)`` returns a new array with zeros in certain locations (functions like `triu` or `tril` do precisely this). Then this function returns the indices where the non-zero values would be located. Parameters ---------- n : int The returned indices will be valid to access arrays of shape (n, n). mask_func : callable A function whose call signature is similar to that of `triu`, `tril`. That is, ``mask_func(x, k)`` returns a boolean array, shaped like `x`. `k` is an optional argument to the function. k : scalar An optional argument which is passed through to `mask_func`. Functions like `triu`, `tril` take a second argument that is interpreted as an offset. Returns ------- indices : tuple of arrays. The `n` arrays of indices corresponding to the locations where ``mask_func(np.ones((n, n)), k)`` is True. See Also -------- triu, tril, triu_indices, tril_indices Notes ----- .. versionadded:: 1.4.0 Examples -------- These are the indices that would allow you to access the upper triangular part of any 3x3 array: >>> iu = np.mask_indices(3, np.triu) For example, if `a` is a 3x3 array: >>> a = np.arange(9).reshape(3, 3) >>> a array([[0, 1, 2], [3, 4, 5], [6, 7, 8]]) >>> a[iu] array([0, 1, 2, 4, 5, 8]) An offset can be passed also to the masking function. This gets us the indices starting on the first diagonal right of the main one: >>> iu1 = np.mask_indices(3, np.triu, 1) with which we now extract only three elements: >>> a[iu1] array([1, 2, 5]) """ m = ones((n,n),int) a = mask_func(m,k) return where(a != 0) def tril_indices(n,k=0): """ Return the indices for the lower-triangle of an (n, n) array. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see `tril` for details). Returns ------- inds : tuple of arrays The indices for the triangle. The returned tuple contains two arrays, each with the indices along one dimension of the array. See also -------- triu_indices : similar function, for upper-triangular. mask_indices : generic function accepting an arbitrary mask function. tril, triu Notes ----- .. versionadded:: 1.4.0 Examples -------- Compute two different sets of indices to access 4x4 arrays, one for the lower triangular part starting at the main diagonal, and one starting two diagonals further right: >>> il1 = np.tril_indices(4) >>> il2 = np.tril_indices(4, 2) Here is how they can be used with a sample array: >>> a = np.arange(16).reshape(4, 4) >>> a array([[ 0, 1, 2, 3], [ 4, 5, 6, 7], [ 8, 9, 10, 11], [12, 13, 14, 15]]) Both for indexing: >>> a[il1] array([ 0, 4, 5, 8, 9, 10, 12, 13, 14, 15]) And for assigning values: >>> a[il1] = -1 >>> a array([[-1, 1, 2, 3], [-1, -1, 6, 7], [-1, -1, -1, 11], [-1, -1, -1, -1]]) These cover almost the whole array (two diagonals right of the main one): >>> a[il2] = -10 >>> a array([[-10, -10, -10, 3], [-10, -10, -10, -10], [-10, -10, -10, -10], [-10, -10, -10, -10]]) """ return mask_indices(n,tril,k) def tril_indices_from(arr,k=0): """ Return the indices for the lower-triangle of an (n, n) array. See `tril_indices` for full details. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see `tril` for details). See Also -------- tril_indices, tril Notes ----- .. versionadded:: 1.4.0 """ if not arr.ndim==2 and arr.shape[0] == arr.shape[1]: raise ValueError("input array must be 2-d and square") return tril_indices(arr.shape[0],k) def triu_indices(n,k=0): """ Return the indices for the upper-triangle of an (n, n) array. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see `triu` for details). Returns ------- inds : tuple of arrays The indices for the triangle. The returned tuple contains two arrays, each with the indices along one dimension of the array. See also -------- tril_indices : similar function, for lower-triangular. mask_indices : generic function accepting an arbitrary mask function. triu, tril Notes ----- .. versionadded:: 1.4.0 Examples -------- Compute two different sets of indices to access 4x4 arrays, one for the upper triangular part starting at the main diagonal, and one starting two diagonals further right: >>> iu1 = np.triu_indices(4) >>> iu2 = np.triu_indices(4, 2) Here is how they can be used with a sample array: >>> a = np.arange(16).reshape(4, 4) >>> a array([[ 0, 1, 2, 3], [ 4, 5, 6, 7], [ 8, 9, 10, 11], [12, 13, 14, 15]]) Both for indexing: >>> a[iu1] array([ 0, 1, 2, 3, 5, 6, 7, 10, 11, 15]) And for assigning values: >>> a[iu1] = -1 >>> a array([[-1, -1, -1, -1], [ 4, -1, -1, -1], [ 8, 9, -1, -1], [12, 13, 14, -1]]) These cover only a small part of the whole array (two diagonals right of the main one): >>> a[iu2] = -10 >>> a array([[ -1, -1, -10, -10], [ 4, -1, -1, -10], [ 8, 9, -1, -1], [ 12, 13, 14, -1]]) """ return mask_indices(n,triu,k) def triu_indices_from(arr,k=0): """ Return the indices for the lower-triangle of an (n, n) array. See `triu_indices` for full details. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see `triu` for details). See Also -------- triu_indices, triu Notes ----- .. versionadded:: 1.4.0 """ if not arr.ndim==2 and arr.shape[0] == arr.shape[1]: raise ValueError("input array must be 2-d and square") return triu_indices(arr.shape[0],k) nitime-rel-0.8.1/nitime/lazy.py000066400000000000000000000037051350450615100164100ustar00rootroot00000000000000""" Commonly used nitime lazy imports are defined here, so they can be reused throughout nitime. For an explanation of why we use lazily-loaded modules, and how you can leverage this machinery in your code, see :mod:`nitime.lazyimports`. Lazily-loaded package have almost the same name as the corresponding package's import string, except for periods are replaced with underscores. For example, the way to lazily import ``matplotlib.mlab`` is via >>> from nitime.lazy import matplotlib_mlab as mlab At this time, all lazy-loaded packages are defined manually. I (pi) made several attempts to automate this process, such that any arbitrary package ``foo.bar.baz`` could be imported via ``from nitime.lazy import foo_bar_baz as baz`` but had limited success. Currently defined lazy imported packages are (remember to replace the ``.`` with ``_``) :: matplotlib.mlab scipy scipy.fftpack scipy.interpolate scipy.linalg scipy.signal scipy.signal.signaltools scipy.stats scipy.stats.distributions If you want to lazily load another package in nitime, please add it to this file, and then ``from nitime.lazy import your_new_package``. If there's a package that you would like to lazily load in your own code that is not listed here, use the :class:`LazyImport` class, which is in :mod:`nitime.lazyimports`. """ from .lazyimports import LazyImport # matplotlib matplotlib_mlab = LazyImport('matplotlib.mlab') # scipy scipy = LazyImport('scipy') scipy_fftpack = LazyImport('scipy.fftpack') scipy_interpolate = LazyImport('scipy.interpolate') scipy_linalg = LazyImport('scipy.linalg') scipy_signal = LazyImport('scipy.signal') scipy_signal_signaltools = LazyImport('scipy.signal.signaltools') scipy_stats = LazyImport('scipy.stats') scipy_stats_distributions = LazyImport('scipy.stats.distributions') def enabled(): "Returns ``True`` if LazyImports are globally enabled" import nitime.lazyimports as l return not l.disable_lazy_imports nitime-rel-0.8.1/nitime/lazyimports.py000066400000000000000000000104471350450615100200270ustar00rootroot00000000000000""" This module provides lazy import functionality to improve the import performance of nitime. For example, some parts of nitime leverage and import matplotlib, which is quite a big package, yet most of the nitime code does not depend on matplotlib. By lazily-loading a module, we defer the overhead of importing it until the first time it is actually used, thereby speeding up nitime imports. A generic :class:`LazyImport` class is implemented which takes the module name as a parameter, and acts as a proxy for that module, importing it only when the module is used, but effectively acting as the module in every other way (including inside IPython with respect to introspection and tab completion) with the *exception* of reload() - reloading a :class:`LazyImport` raises an :class:`ImportError`. Commonly used nitime lazy imports are also defined in :mod:`nitime.lazy`, so they can be reused throughout nitime. """ import sys import types # This flag only has affect on this module's import, and if it is set to True, # LazyImports are performed immediately. Note: this flag is currently here # only for debugging purposes and must be set directly in the source code, # since nitime.lazy imports this module, and nitime.lazy is used throughout # nitime, importing nitime will import this module. disable_lazy_imports = False if 'sphinx' in sys.modules: disable_lazy_imports = True class LazyImport(types.ModuleType): """ This class takes the module name as a parameter, and acts as a proxy for that module, importing it only when the module is used, but effectively acting as the module in every other way (including inside IPython with respect to introspection and tab completion) with the *exception* of reload()- reloading a :class:`LazyImport` raises an :class:`ImportError`. >>> mlab = LazyImport('matplotlib.mlab') No import happens on the above line, until we do something like call an ``mlab`` method or try to do tab completion or introspection on ``mlab`` in IPython. >>> mlab Now the :class:`LazyImport` will do an actual import, and call the dist function of the imported module. >>> mlab.dist(1969,2011) 42.0 """ def __getattribute__(self,x): # This method will be called only once, since we'll change # self.__class__ to LoadedLazyImport, and __getattribute__ will point # to module.__getattribute__ name = object.__getattribute__(self,'__name__') __import__(name) # if name above is 'package.foo.bar', package is returned, the docs # recommend that in order to get back the full thing, that we import # and then lookup the full name is sys.modules, see: # http://docs.python.org/library/functions.html#__import__ module = sys.modules[name] # Now that we've done the import, cutout the middleman and make self # act as the imported module class LoadedLazyImport(types.ModuleType): __getattribute__ = module.__getattribute__ __repr__ = module.__repr__ object.__setattr__(self,'__class__', LoadedLazyImport) # The next line will make "reload(l)" a silent no-op #sys.modules[name] = self return module.__getattribute__(x) def __repr__(self): return "" %\ object.__getattribute__(self,'__name__') if disable_lazy_imports: lazy_doc = """:class:`LazyImports` have been globally disabled. Please modify ``disable_lazy_imports`` boolean variable in :mod:`nitime.lazyimports` in order to leverage lazy loading of modules. """ if 'sphinx' in sys.modules: lazy_doc = """ WARNING: To get Sphinx documentation to build we disable LazyImports, which makes Sphinx incorrectly report this class as having a base class of object. In reality, :class:`LazyImport`'s base class is :class:`types.ModuleType`. """ lazy_doc += LazyImport.__doc__ class LazyImport(object): __doc__ = lazy_doc def __init__(self, x): __import__(x) self.module = sys.modules[x] def __getattr__(self, x): return self.module.__getattribute__(x) nitime-rel-0.8.1/nitime/six.py000066400000000000000000000512271350450615100162360ustar00rootroot00000000000000"""Utilities for writing code that runs on Python 2 and 3""" # Copyright (c) 2010-2013 Benjamin Peterson # # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal # in the Software without restriction, including without limitation the rights # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell # copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included in all # copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE # SOFTWARE. import operator import sys import types __author__ = "Benjamin Peterson " __version__ = "1.4.1" # Useful for very coarse version differentiation. PY2 = sys.version_info[0] == 2 PY3 = sys.version_info[0] == 3 if PY3: string_types = str, integer_types = int, class_types = type, text_type = str binary_type = bytes MAXSIZE = sys.maxsize else: string_types = basestring, integer_types = (int, long) class_types = (type, types.ClassType) text_type = unicode binary_type = str if sys.platform.startswith("java"): # Jython always uses 32 bits. MAXSIZE = int((1 << 31) - 1) else: # It's possible to have sizeof(long) != sizeof(Py_ssize_t). class X(object): def __len__(self): return 1 << 31 try: len(X()) except OverflowError: # 32-bit MAXSIZE = int((1 << 31) - 1) else: # 64-bit MAXSIZE = int((1 << 63) - 1) del X def _add_doc(func, doc): """Add documentation to a function.""" func.__doc__ = doc def _import_module(name): """Import module, returning the module after the last dot.""" __import__(name) return sys.modules[name] class _LazyDescr(object): def __init__(self, name): self.name = name def __get__(self, obj, tp): result = self._resolve() setattr(obj, self.name, result) # This is a bit ugly, but it avoids running this again. delattr(tp, self.name) return result class MovedModule(_LazyDescr): def __init__(self, name, old, new=None): super(MovedModule, self).__init__(name) if PY3: if new is None: new = name self.mod = new else: self.mod = old def _resolve(self): return _import_module(self.mod) class MovedAttribute(_LazyDescr): def __init__(self, name, old_mod, new_mod, old_attr=None, new_attr=None): super(MovedAttribute, self).__init__(name) if PY3: if new_mod is None: new_mod = name self.mod = new_mod if new_attr is None: if old_attr is None: new_attr = name else: new_attr = old_attr self.attr = new_attr else: self.mod = old_mod if old_attr is None: old_attr = name self.attr = old_attr def _resolve(self): module = _import_module(self.mod) return getattr(module, self.attr) class _MovedItems(types.ModuleType): """Lazy loading of moved objects""" _moved_attributes = [ MovedAttribute("cStringIO", "cStringIO", "io", "StringIO"), MovedAttribute("filter", "itertools", "builtins", "ifilter", "filter"), MovedAttribute("filterfalse", "itertools", "itertools", "ifilterfalse", "filterfalse"), MovedAttribute("input", "__builtin__", "builtins", "raw_input", "input"), MovedAttribute("map", "itertools", "builtins", "imap", "map"), MovedAttribute("range", "__builtin__", "builtins", "xrange", "range"), MovedAttribute("reload_module", "__builtin__", "imp", "reload"), MovedAttribute("reduce", "__builtin__", "functools"), MovedAttribute("StringIO", "StringIO", "io"), MovedAttribute("UserString", "UserString", "collections"), MovedAttribute("xrange", "__builtin__", "builtins", "xrange", "range"), MovedAttribute("zip", "itertools", "builtins", "izip", "zip"), MovedAttribute("zip_longest", "itertools", "itertools", "izip_longest", "zip_longest"), MovedModule("builtins", "__builtin__"), MovedModule("configparser", "ConfigParser"), MovedModule("copyreg", "copy_reg"), MovedModule("dbm_gnu", "gdbm", "dbm.gnu"), MovedModule("http_cookiejar", "cookielib", "http.cookiejar"), MovedModule("http_cookies", "Cookie", "http.cookies"), MovedModule("html_entities", "htmlentitydefs", "html.entities"), MovedModule("html_parser", "HTMLParser", "html.parser"), MovedModule("http_client", "httplib", "http.client"), MovedModule("email_mime_multipart", "email.MIMEMultipart", "email.mime.multipart"), MovedModule("email_mime_text", "email.MIMEText", "email.mime.text"), MovedModule("email_mime_base", "email.MIMEBase", "email.mime.base"), MovedModule("BaseHTTPServer", "BaseHTTPServer", "http.server"), MovedModule("CGIHTTPServer", "CGIHTTPServer", "http.server"), MovedModule("SimpleHTTPServer", "SimpleHTTPServer", "http.server"), MovedModule("cPickle", "cPickle", "pickle"), MovedModule("queue", "Queue"), MovedModule("reprlib", "repr"), MovedModule("socketserver", "SocketServer"), MovedModule("_thread", "thread", "_thread"), MovedModule("tkinter", "Tkinter"), MovedModule("tkinter_dialog", "Dialog", "tkinter.dialog"), MovedModule("tkinter_filedialog", "FileDialog", "tkinter.filedialog"), MovedModule("tkinter_scrolledtext", "ScrolledText", "tkinter.scrolledtext"), MovedModule("tkinter_simpledialog", "SimpleDialog", "tkinter.simpledialog"), MovedModule("tkinter_tix", "Tix", "tkinter.tix"), MovedModule("tkinter_constants", "Tkconstants", "tkinter.constants"), MovedModule("tkinter_dnd", "Tkdnd", "tkinter.dnd"), MovedModule("tkinter_colorchooser", "tkColorChooser", "tkinter.colorchooser"), MovedModule("tkinter_commondialog", "tkCommonDialog", "tkinter.commondialog"), MovedModule("tkinter_tkfiledialog", "tkFileDialog", "tkinter.filedialog"), MovedModule("tkinter_font", "tkFont", "tkinter.font"), MovedModule("tkinter_messagebox", "tkMessageBox", "tkinter.messagebox"), MovedModule("tkinter_tksimpledialog", "tkSimpleDialog", "tkinter.simpledialog"), MovedModule("urllib_parse", __name__ + ".moves.urllib_parse", "urllib.parse"), MovedModule("urllib_error", __name__ + ".moves.urllib_error", "urllib.error"), MovedModule("urllib", __name__ + ".moves.urllib", __name__ + ".moves.urllib"), MovedModule("urllib_robotparser", "robotparser", "urllib.robotparser"), MovedModule("xmlrpc_client", "xmlrpclib", "xmlrpc.client"), MovedModule("winreg", "_winreg"), ] for attr in _moved_attributes: setattr(_MovedItems, attr.name, attr) del attr moves = sys.modules[__name__ + ".moves"] = _MovedItems(__name__ + ".moves") class Module_six_moves_urllib_parse(types.ModuleType): """Lazy loading of moved objects in six.moves.urllib_parse""" _urllib_parse_moved_attributes = [ MovedAttribute("ParseResult", "urlparse", "urllib.parse"), MovedAttribute("parse_qs", "urlparse", "urllib.parse"), MovedAttribute("parse_qsl", "urlparse", "urllib.parse"), MovedAttribute("urldefrag", "urlparse", "urllib.parse"), MovedAttribute("urljoin", "urlparse", "urllib.parse"), MovedAttribute("urlparse", "urlparse", "urllib.parse"), MovedAttribute("urlsplit", "urlparse", "urllib.parse"), MovedAttribute("urlunparse", "urlparse", "urllib.parse"), MovedAttribute("urlunsplit", "urlparse", "urllib.parse"), MovedAttribute("quote", "urllib", "urllib.parse"), MovedAttribute("quote_plus", "urllib", "urllib.parse"), MovedAttribute("unquote", "urllib", "urllib.parse"), MovedAttribute("unquote_plus", "urllib", "urllib.parse"), MovedAttribute("urlencode", "urllib", "urllib.parse"), ] for attr in _urllib_parse_moved_attributes: setattr(Module_six_moves_urllib_parse, attr.name, attr) del attr sys.modules[__name__ + ".moves.urllib_parse"] = Module_six_moves_urllib_parse(__name__ + ".moves.urllib_parse") sys.modules[__name__ + ".moves.urllib.parse"] = Module_six_moves_urllib_parse(__name__ + ".moves.urllib.parse") class Module_six_moves_urllib_error(types.ModuleType): """Lazy loading of moved objects in six.moves.urllib_error""" _urllib_error_moved_attributes = [ MovedAttribute("URLError", "urllib2", "urllib.error"), MovedAttribute("HTTPError", "urllib2", "urllib.error"), MovedAttribute("ContentTooShortError", "urllib", "urllib.error"), ] for attr in _urllib_error_moved_attributes: setattr(Module_six_moves_urllib_error, attr.name, attr) del attr sys.modules[__name__ + ".moves.urllib_error"] = Module_six_moves_urllib_error(__name__ + ".moves.urllib_error") sys.modules[__name__ + ".moves.urllib.error"] = Module_six_moves_urllib_error(__name__ + ".moves.urllib.error") class Module_six_moves_urllib_request(types.ModuleType): """Lazy loading of moved objects in six.moves.urllib_request""" _urllib_request_moved_attributes = [ MovedAttribute("urlopen", "urllib2", "urllib.request"), MovedAttribute("install_opener", "urllib2", "urllib.request"), MovedAttribute("build_opener", "urllib2", "urllib.request"), MovedAttribute("pathname2url", "urllib", "urllib.request"), MovedAttribute("url2pathname", "urllib", "urllib.request"), MovedAttribute("getproxies", "urllib", "urllib.request"), MovedAttribute("Request", "urllib2", "urllib.request"), MovedAttribute("OpenerDirector", "urllib2", "urllib.request"), MovedAttribute("HTTPDefaultErrorHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPRedirectHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPCookieProcessor", "urllib2", "urllib.request"), MovedAttribute("ProxyHandler", "urllib2", "urllib.request"), MovedAttribute("BaseHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPPasswordMgr", "urllib2", "urllib.request"), MovedAttribute("HTTPPasswordMgrWithDefaultRealm", "urllib2", "urllib.request"), MovedAttribute("AbstractBasicAuthHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPBasicAuthHandler", "urllib2", "urllib.request"), MovedAttribute("ProxyBasicAuthHandler", "urllib2", "urllib.request"), MovedAttribute("AbstractDigestAuthHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPDigestAuthHandler", "urllib2", "urllib.request"), MovedAttribute("ProxyDigestAuthHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPSHandler", "urllib2", "urllib.request"), MovedAttribute("FileHandler", "urllib2", "urllib.request"), MovedAttribute("FTPHandler", "urllib2", "urllib.request"), MovedAttribute("CacheFTPHandler", "urllib2", "urllib.request"), MovedAttribute("UnknownHandler", "urllib2", "urllib.request"), MovedAttribute("HTTPErrorProcessor", "urllib2", "urllib.request"), MovedAttribute("urlretrieve", "urllib", "urllib.request"), MovedAttribute("urlcleanup", "urllib", "urllib.request"), MovedAttribute("URLopener", "urllib", "urllib.request"), MovedAttribute("FancyURLopener", "urllib", "urllib.request"), ] for attr in _urllib_request_moved_attributes: setattr(Module_six_moves_urllib_request, attr.name, attr) del attr sys.modules[__name__ + ".moves.urllib_request"] = Module_six_moves_urllib_request(__name__ + ".moves.urllib_request") sys.modules[__name__ + ".moves.urllib.request"] = Module_six_moves_urllib_request(__name__ + ".moves.urllib.request") class Module_six_moves_urllib_response(types.ModuleType): """Lazy loading of moved objects in six.moves.urllib_response""" _urllib_response_moved_attributes = [ MovedAttribute("addbase", "urllib", "urllib.response"), MovedAttribute("addclosehook", "urllib", "urllib.response"), MovedAttribute("addinfo", "urllib", "urllib.response"), MovedAttribute("addinfourl", "urllib", "urllib.response"), ] for attr in _urllib_response_moved_attributes: setattr(Module_six_moves_urllib_response, attr.name, attr) del attr sys.modules[__name__ + ".moves.urllib_response"] = Module_six_moves_urllib_response(__name__ + ".moves.urllib_response") sys.modules[__name__ + ".moves.urllib.response"] = Module_six_moves_urllib_response(__name__ + ".moves.urllib.response") class Module_six_moves_urllib_robotparser(types.ModuleType): """Lazy loading of moved objects in six.moves.urllib_robotparser""" _urllib_robotparser_moved_attributes = [ MovedAttribute("RobotFileParser", "robotparser", "urllib.robotparser"), ] for attr in _urllib_robotparser_moved_attributes: setattr(Module_six_moves_urllib_robotparser, attr.name, attr) del attr sys.modules[__name__ + ".moves.urllib_robotparser"] = Module_six_moves_urllib_robotparser(__name__ + ".moves.urllib_robotparser") sys.modules[__name__ + ".moves.urllib.robotparser"] = Module_six_moves_urllib_robotparser(__name__ + ".moves.urllib.robotparser") class Module_six_moves_urllib(types.ModuleType): """Create a six.moves.urllib namespace that resembles the Python 3 namespace""" parse = sys.modules[__name__ + ".moves.urllib_parse"] error = sys.modules[__name__ + ".moves.urllib_error"] request = sys.modules[__name__ + ".moves.urllib_request"] response = sys.modules[__name__ + ".moves.urllib_response"] robotparser = sys.modules[__name__ + ".moves.urllib_robotparser"] sys.modules[__name__ + ".moves.urllib"] = Module_six_moves_urllib(__name__ + ".moves.urllib") def add_move(move): """Add an item to six.moves.""" setattr(_MovedItems, move.name, move) def remove_move(name): """Remove item from six.moves.""" try: delattr(_MovedItems, name) except AttributeError: try: del moves.__dict__[name] except KeyError: raise AttributeError("no such move, %r" % (name,)) if PY3: _meth_func = "__func__" _meth_self = "__self__" _func_closure = "__closure__" _func_code = "__code__" _func_defaults = "__defaults__" _func_globals = "__globals__" _iterkeys = "keys" _itervalues = "values" _iteritems = "items" _iterlists = "lists" else: _meth_func = "im_func" _meth_self = "im_self" _func_closure = "func_closure" _func_code = "func_code" _func_defaults = "func_defaults" _func_globals = "func_globals" _iterkeys = "iterkeys" _itervalues = "itervalues" _iteritems = "iteritems" _iterlists = "iterlists" try: advance_iterator = next except NameError: def advance_iterator(it): return it.next() next = advance_iterator try: callable = callable except NameError: def callable(obj): return any("__call__" in klass.__dict__ for klass in type(obj).__mro__) if PY3: def get_unbound_function(unbound): return unbound create_bound_method = types.MethodType Iterator = object else: def get_unbound_function(unbound): return unbound.im_func def create_bound_method(func, obj): return types.MethodType(func, obj, obj.__class__) class Iterator(object): def next(self): return type(self).__next__(self) callable = callable _add_doc(get_unbound_function, """Get the function out of a possibly unbound function""") get_method_function = operator.attrgetter(_meth_func) get_method_self = operator.attrgetter(_meth_self) get_function_closure = operator.attrgetter(_func_closure) get_function_code = operator.attrgetter(_func_code) get_function_defaults = operator.attrgetter(_func_defaults) get_function_globals = operator.attrgetter(_func_globals) def iterkeys(d, **kw): """Return an iterator over the keys of a dictionary.""" return iter(getattr(d, _iterkeys)(**kw)) def itervalues(d, **kw): """Return an iterator over the values of a dictionary.""" return iter(getattr(d, _itervalues)(**kw)) def iteritems(d, **kw): """Return an iterator over the (key, value) pairs of a dictionary.""" return iter(getattr(d, _iteritems)(**kw)) def iterlists(d, **kw): """Return an iterator over the (key, [values]) pairs of a dictionary.""" return iter(getattr(d, _iterlists)(**kw)) if PY3: def b(s): return s.encode("latin-1") def u(s): return s unichr = chr if sys.version_info[1] <= 1: def int2byte(i): return bytes((i,)) else: # This is about 2x faster than the implementation above on 3.2+ int2byte = operator.methodcaller("to_bytes", 1, "big") byte2int = operator.itemgetter(0) indexbytes = operator.getitem iterbytes = iter import io StringIO = io.StringIO BytesIO = io.BytesIO else: def b(s): return s def u(s): return unicode(s, "unicode_escape") unichr = unichr int2byte = chr def byte2int(bs): return ord(bs[0]) def indexbytes(buf, i): return ord(buf[i]) def iterbytes(buf): return (ord(byte) for byte in buf) import StringIO StringIO = BytesIO = StringIO.StringIO _add_doc(b, """Byte literal""") _add_doc(u, """Text literal""") if PY3: exec_ = getattr(moves.builtins, "exec") def reraise(tp, value, tb=None): if value.__traceback__ is not tb: raise value.with_traceback(tb) raise value else: def exec_(_code_, _globs_=None, _locs_=None): """Execute code in a namespace.""" if _globs_ is None: frame = sys._getframe(1) _globs_ = frame.f_globals if _locs_ is None: _locs_ = frame.f_locals del frame elif _locs_ is None: _locs_ = _globs_ exec("""exec _code_ in _globs_, _locs_""") exec_("""def reraise(tp, value, tb=None): raise tp, value, tb """) print_ = getattr(moves.builtins, "print", None) if print_ is None: def print_(*args, **kwargs): """The new-style print function for Python 2.4 and 2.5.""" fp = kwargs.pop("file", sys.stdout) if fp is None: return def write(data): if not isinstance(data, basestring): data = str(data) # If the file has an encoding, encode unicode with it. if (isinstance(fp, file) and isinstance(data, unicode) and fp.encoding is not None): errors = getattr(fp, "errors", None) if errors is None: errors = "strict" data = data.encode(fp.encoding, errors) fp.write(data) want_unicode = False sep = kwargs.pop("sep", None) if sep is not None: if isinstance(sep, unicode): want_unicode = True elif not isinstance(sep, str): raise TypeError("sep must be None or a string") end = kwargs.pop("end", None) if end is not None: if isinstance(end, unicode): want_unicode = True elif not isinstance(end, str): raise TypeError("end must be None or a string") if kwargs: raise TypeError("invalid keyword arguments to print()") if not want_unicode: for arg in args: if isinstance(arg, unicode): want_unicode = True break if want_unicode: newline = unicode("\n") space = unicode(" ") else: newline = "\n" space = " " if sep is None: sep = space if end is None: end = newline for i, arg in enumerate(args): if i: write(sep) write(arg) write(end) _add_doc(reraise, """Reraise an exception.""") def with_metaclass(meta, *bases): """Create a base class with a metaclass.""" return meta("NewBase", bases, {}) def add_metaclass(metaclass): """Class decorator for creating a class with a metaclass.""" def wrapper(cls): orig_vars = cls.__dict__.copy() orig_vars.pop('__dict__', None) orig_vars.pop('__weakref__', None) for slots_var in orig_vars.get('__slots__', ()): orig_vars.pop(slots_var) return metaclass(cls.__name__, cls.__bases__, orig_vars) return wrapper nitime-rel-0.8.1/nitime/tests/000077500000000000000000000000001350450615100162145ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/tests/__init__.py000066400000000000000000000000001350450615100203130ustar00rootroot00000000000000nitime-rel-0.8.1/nitime/tests/cxy_matlab.txt000066400000000000000000000015531350450615100211040ustar00rootroot00000000000000# This is the matlab code which generates the below-appended coherence values: #ts = load('tseries12.txt'); # #ts0 = ts(2,:); #ts1 = ts(1,:); # #NFFT = 64; #Fs = 1.0; #noverlap = NFFT/2; # #window = hann(NFFT); # #c = mscohere(ts0, ts1, window, noverlap, NFFT, Fs); # #save('cxy_matlab.txt','c','-ascii'); # # 3.2883128e-01 4.3616590e-01 5.8187041e-01 7.4714875e-01 7.1171255e-01 6.6626046e-01 6.3666037e-01 7.4102012e-01 5.0838545e-01 3.9119568e-01 5.7559647e-01 5.8551335e-01 6.3163960e-01 5.3390698e-01 4.4504176e-01 3.2401019e-01 1.4556267e-02 1.9436742e-01 1.0614361e-01 2.1940006e-01 2.9472664e-01 1.6353329e-01 4.1298307e-01 4.5521949e-01 3.8936038e-01 5.1478584e-01 4.1767995e-01 3.0716218e-01 3.5230732e-01 4.3978381e-01 2.0984074e-01 3.7625197e-02 5.6489134e-01 nitime-rel-0.8.1/nitime/tests/dpss_matlab.txt000066400000000000000000000145441350450615100212560ustar00rootroot00000000000000 3.0914414e-03 1.8064449e-02 6.4817553e-02 1.4985551e-01 4.1266922e-03 2.2040342e-02 7.2567801e-02 1.5512305e-01 5.3150760e-03 2.6325013e-02 8.0292992e-02 1.5931467e-01 6.6651490e-03 3.0905288e-02 8.7918235e-02 1.6236806e-01 8.1848540e-03 3.5764398e-02 9.5367076e-02 1.6423291e-01 9.8814158e-03 4.0881982e-02 1.0256232e-01 1.6487165e-01 1.1761239e-02 4.6234148e-02 1.0942687e-01 1.6426009e-01 1.3829809e-02 5.1793558e-02 1.1588460e-01 1.6238790e-01 1.6091597e-02 5.7529559e-02 1.2186124e-01 1.5925890e-01 1.8549973e-02 6.3408356e-02 1.2728523e-01 1.5489114e-01 2.1207120e-02 6.9393216e-02 1.3208858e-01 1.4931693e-01 2.4063960e-02 7.5444716e-02 1.3620771e-01 1.4258255e-01 2.7120092e-02 8.1521022e-02 1.3958427e-01 1.3474785e-01 3.0373728e-02 8.7578202e-02 1.4216587e-01 1.2588570e-01 3.3821651e-02 9.3570567e-02 1.4390678e-01 1.1608124e-01 3.7459181e-02 9.9451049e-02 1.4476863e-01 1.0543095e-01 4.1280145e-02 1.0517159e-01 1.4472090e-01 9.4041635e-02 4.5276872e-02 1.1068356e-01 1.4374148e-01 8.2029213e-02 4.9440192e-02 1.1593818e-01 1.4181704e-01 6.9517411e-02 5.3759447e-02 1.2088699e-01 1.3894336e-01 5.6636348e-02 5.8222524e-02 1.2548227e-01 1.3512554e-01 4.3521028e-02 6.2815894e-02 1.2967752e-01 1.3037812e-01 3.0309756e-02 6.7524661e-02 1.3342790e-01 1.2472510e-01 1.7142511e-02 7.2332638e-02 1.3669069e-01 1.1819984e-01 4.1592774e-03 7.7222418e-02 1.3942569e-01 1.1084487e-01 -8.5016282e-03 8.2175473e-02 1.4159570e-01 1.0271159e-01 -2.0705223e-02 8.7172252e-02 1.4316686e-01 9.3859853e-02 -3.2321494e-02 9.2192299e-02 1.4410905e-01 8.4357497e-02 -4.3226982e-02 9.7214376e-02 1.4439626e-01 7.4279719e-02 -5.3306291e-02 1.0221660e-01 1.4400686e-01 6.3708406e-02 -6.2453515e-02 1.0717657e-01 1.4292389e-01 5.2731374e-02 -7.0573544e-02 1.1207154e-01 1.4113530e-01 4.1441525e-02 -7.7583253e-02 1.1687856e-01 1.3863416e-01 2.9935953e-02 -8.3412547e-02 1.2157463e-01 1.3541876e-01 1.8314987e-02 -8.8005244e-02 1.2613686e-01 1.3149274e-01 6.6811877e-03 -9.1319802e-02 1.3054266e-01 1.2686516e-01 -4.8616765e-03 -9.3329861e-02 1.3476986e-01 1.2155045e-01 -1.6209689e-02 -9.4024602e-02 1.3879691e-01 1.1556840e-01 -2.7259848e-02 -9.3408915e-02 1.4260302e-01 1.0894403e-01 -3.7911124e-02 -9.1503383e-02 1.4616832e-01 1.0170748e-01 -4.8065512e-02 -8.8344060e-02 1.4947401e-01 9.3893752e-02 -5.7629050e-02 -8.3982070e-02 1.5250250e-01 8.5542510e-02 -6.6512804e-02 -7.8483012e-02 1.5523755e-01 7.6697768e-02 -7.4633800e-02 -7.1926192e-02 1.5766438e-01 6.7407559e-02 -8.1915903e-02 -6.4403681e-02 1.5976981e-01 5.7723559e-02 -8.8290621e-02 -5.6019215e-02 1.6154233e-01 4.7700680e-02 -9.3697830e-02 -4.6886954e-02 1.6297223e-01 3.7396627e-02 -9.8086416e-02 -3.7130106e-02 1.6405162e-01 2.6871428e-02 -1.0141482e-01 -2.6879442e-02 1.6477455e-01 1.6186944e-02 -1.0365146e-01 -1.6271713e-02 1.6513702e-01 5.4063557e-03 -1.0477512e-01 -5.4480000e-03 1.6513702e-01 -5.4063557e-03 -1.0477512e-01 5.4480000e-03 1.6477455e-01 -1.6186944e-02 -1.0365146e-01 1.6271713e-02 1.6405162e-01 -2.6871428e-02 -1.0141482e-01 2.6879442e-02 1.6297223e-01 -3.7396627e-02 -9.8086416e-02 3.7130106e-02 1.6154233e-01 -4.7700680e-02 -9.3697830e-02 4.6886954e-02 1.5976981e-01 -5.7723559e-02 -8.8290621e-02 5.6019215e-02 1.5766438e-01 -6.7407559e-02 -8.1915903e-02 6.4403681e-02 1.5523755e-01 -7.6697768e-02 -7.4633800e-02 7.1926192e-02 1.5250250e-01 -8.5542510e-02 -6.6512804e-02 7.8483012e-02 1.4947401e-01 -9.3893752e-02 -5.7629050e-02 8.3982070e-02 1.4616832e-01 -1.0170748e-01 -4.8065512e-02 8.8344060e-02 1.4260302e-01 -1.0894403e-01 -3.7911124e-02 9.1503383e-02 1.3879691e-01 -1.1556840e-01 -2.7259848e-02 9.3408915e-02 1.3476986e-01 -1.2155045e-01 -1.6209689e-02 9.4024602e-02 1.3054266e-01 -1.2686516e-01 -4.8616765e-03 9.3329861e-02 1.2613686e-01 -1.3149274e-01 6.6811877e-03 9.1319802e-02 1.2157463e-01 -1.3541876e-01 1.8314987e-02 8.8005244e-02 1.1687856e-01 -1.3863416e-01 2.9935953e-02 8.3412547e-02 1.1207154e-01 -1.4113530e-01 4.1441525e-02 7.7583253e-02 1.0717657e-01 -1.4292389e-01 5.2731374e-02 7.0573544e-02 1.0221660e-01 -1.4400686e-01 6.3708406e-02 6.2453515e-02 9.7214376e-02 -1.4439626e-01 7.4279719e-02 5.3306291e-02 9.2192299e-02 -1.4410905e-01 8.4357497e-02 4.3226982e-02 8.7172252e-02 -1.4316686e-01 9.3859853e-02 3.2321494e-02 8.2175473e-02 -1.4159570e-01 1.0271159e-01 2.0705223e-02 7.7222418e-02 -1.3942569e-01 1.1084487e-01 8.5016282e-03 7.2332638e-02 -1.3669069e-01 1.1819984e-01 -4.1592774e-03 6.7524661e-02 -1.3342790e-01 1.2472510e-01 -1.7142511e-02 6.2815894e-02 -1.2967752e-01 1.3037812e-01 -3.0309756e-02 5.8222524e-02 -1.2548227e-01 1.3512554e-01 -4.3521028e-02 5.3759447e-02 -1.2088699e-01 1.3894336e-01 -5.6636348e-02 4.9440192e-02 -1.1593818e-01 1.4181704e-01 -6.9517411e-02 4.5276872e-02 -1.1068356e-01 1.4374148e-01 -8.2029213e-02 4.1280145e-02 -1.0517159e-01 1.4472090e-01 -9.4041635e-02 3.7459181e-02 -9.9451049e-02 1.4476863e-01 -1.0543095e-01 3.3821651e-02 -9.3570567e-02 1.4390678e-01 -1.1608124e-01 3.0373728e-02 -8.7578202e-02 1.4216587e-01 -1.2588570e-01 2.7120092e-02 -8.1521022e-02 1.3958427e-01 -1.3474785e-01 2.4063960e-02 -7.5444716e-02 1.3620771e-01 -1.4258255e-01 2.1207120e-02 -6.9393216e-02 1.3208858e-01 -1.4931693e-01 1.8549973e-02 -6.3408356e-02 1.2728523e-01 -1.5489114e-01 1.6091597e-02 -5.7529559e-02 1.2186124e-01 -1.5925890e-01 1.3829809e-02 -5.1793558e-02 1.1588460e-01 -1.6238790e-01 1.1761239e-02 -4.6234148e-02 1.0942687e-01 -1.6426009e-01 9.8814158e-03 -4.0881982e-02 1.0256232e-01 -1.6487165e-01 8.1848540e-03 -3.5764398e-02 9.5367076e-02 -1.6423291e-01 6.6651490e-03 -3.0905288e-02 8.7918235e-02 -1.6236806e-01 5.3150760e-03 -2.6325013e-02 8.0292992e-02 -1.5931467e-01 4.1266922e-03 -2.2040342e-02 7.2567801e-02 -1.5512305e-01 3.0914414e-03 -1.8064449e-02 6.4817553e-02 -1.4985551e-01 nitime-rel-0.8.1/nitime/tests/fxx_matlab.txt000066400000000000000000000111361350450615100211040ustar00rootroot00000000000000#The following matlab code was used in order to generate the below-appended spectrum: # #ts = load('tseries12.txt'); # #ts0 = ts(2,:) + ts(1,:)*j; #ts1 = ts(1,:) + ts(2,:)*j; # #NFFT = 256; #Fs = 1.0; #noverlap = NFFT/2; # #window = hann(NFFT); # #[fxx2, f] = cpsd(ts0, ts0, window, noverlap, NFFT, Fs); # #save('fxx_matlab.txt','fxx2','-ascii'); # 1.7654246e-03 1.1492441e-03 5.8788719e-03 4.2103294e-01 7.4144491e-01 1.7962983e+01 6.8128282e+01 2.7711577e+02 5.1916900e+02 3.0933498e+02 1.0069482e+02 3.9385955e+01 1.2947315e+02 2.1792251e+01 2.9336587e+01 3.3755918e+02 3.2006312e+02 2.0049806e+01 2.2022508e+01 4.8539417e+01 3.5416268e+01 3.3576585e+01 1.2599510e-01 6.6601568e+01 2.3381563e+00 9.2171204e+01 7.1808318e+01 7.8451191e+01 1.4231709e+02 3.8702857e+01 4.1663679e+01 2.5615925e+01 4.4953235e+01 8.6807426e+01 1.2186208e+02 2.3688979e+01 2.8500929e+01 5.1984473e+01 2.9623833e+01 3.3401207e+01 3.3723000e+01 2.7266268e+01 5.0214385e+01 7.8990853e+01 1.2171014e+02 9.8137981e+01 6.2261634e+01 3.2089776e+01 1.6680389e+01 5.2535876e+01 9.0029674e+00 9.8189323e+00 1.1415089e+00 1.2688202e+01 3.6944522e+00 3.9703874e+00 2.4638979e+01 3.9916018e+01 2.7712482e+01 2.1035053e+01 1.3533799e+01 2.0815335e+01 3.8198637e+00 6.1118412e+00 2.9890981e+01 2.9493712e+01 3.3342526e+01 1.9781894e+01 1.4683159e+00 1.8278228e+00 2.3832255e+00 1.0902860e+01 8.4935496e+00 1.3940461e+01 2.1258691e+01 5.2836512e+00 1.9290513e-01 1.3116000e+00 2.4208421e-01 2.1472107e-04 2.8607214e-04 3.9513934e-05 9.3881246e-06 2.6760970e-05 5.5421596e-06 1.7482081e-06 3.2518374e-06 4.0744870e-07 2.2579537e-06 1.7207698e-06 9.0388675e-06 3.0656789e-06 3.1847913e-06 2.6940182e-06 2.0645832e-06 2.4857393e-06 6.7239238e-08 5.7419415e-07 7.7792638e-07 1.5322241e-06 3.2779094e-07 2.3751701e-07 2.3714489e-07 6.0051700e-07 8.4290402e-07 2.9033865e-07 2.1013033e-07 1.2565078e-07 1.0390476e-07 1.9778370e-07 1.0084400e-06 7.3816816e-07 6.4644187e-07 8.3616168e-07 1.5702788e-07 1.9178959e-07 5.3846004e-07 2.5552464e-07 1.7828864e-07 2.4964866e-07 6.4572149e-07 2.4151196e-06 1.7692354e-06 3.6388530e-07 1.0063135e-06 6.7522380e-07 6.4322286e-07 1.1248587e-06 1.1158244e-06 7.0900181e-07 3.6993239e-07 1.0256606e-06 1.1056010e-06 4.6590590e-07 1.5879864e-07 2.9491815e-07 3.7965864e-07 5.9892527e-07 9.9665194e-07 6.5050711e-07 3.7550496e-07 1.4595081e-06 1.8519679e-06 5.9725982e-07 3.2513441e-07 2.7043689e-07 1.6645980e-06 2.1919728e-06 5.2856519e-07 1.1751143e-07 2.2359990e-07 5.2988374e-07 1.6256828e-06 1.7359965e-07 8.2977886e-07 2.0599250e-06 1.9608680e-07 5.0420106e-07 1.3774834e-06 1.7156641e-07 1.9973442e-07 1.2702202e-06 2.6703938e-06 1.2892430e-06 3.9131389e-06 1.2631043e-06 5.1898612e-06 2.2315416e-06 7.0021123e-06 1.8286103e-07 1.9847163e-06 8.2320762e-06 1.6967282e-06 3.9942142e-05 3.0295721e-05 3.8751772e-05 2.6070714e-04 1.4043792e-03 1.0325225e-01 1.0590688e+00 1.0899928e+00 4.3707907e+00 7.9999389e+00 3.0784479e+00 7.1552796e-01 5.9442457e+00 7.4610440e+00 1.7480318e-01 3.7206216e+00 1.3481982e+00 3.0004556e+01 5.5009933e+01 5.6502886e+01 1.2809927e+01 1.3551770e+00 1.1648204e+01 3.1529357e+01 3.5251865e+01 3.5784678e+01 5.9787918e+01 4.0179642e+00 4.4470840e+00 2.5106790e+01 6.3689960e+01 1.3868797e+01 5.3911256e+01 7.1236237e+01 1.2307196e+02 3.5710599e+01 1.1618900e+01 5.1899417e+00 1.5430489e+01 4.9816033e+01 4.3687115e+01 1.1045961e+02 2.2464404e+01 1.2440765e+01 2.3457434e+01 1.6257755e+00 1.1418644e+01 1.3478757e+01 4.8011036e+01 8.5382189e+01 3.9829827e+01 4.6229399e+01 8.6572339e+01 1.1026585e+02 4.4502587e+01 2.2242312e+02 8.4843175e+01 2.5990945e+01 1.1034332e+02 3.4941104e+01 1.9507354e+01 2.5468196e+01 4.9971805e+01 1.0926816e+00 4.8803550e+01 1.0308630e+02 8.2420133e+00 3.2147678e+02 5.1213150e+02 1.1510788e+02 6.6354470e+00 2.2845551e+02 2.6769109e+02 1.0519696e+02 2.1181061e+02 1.9488878e+02 6.7407813e+01 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""" Tests scipy signal's resample function """ # create a freq list with max freq < 16 Hz freq_list = np.random.randint(0, high=15, size=5) # make a test signal with sampling freq = 64 Hz a = [np.sin(2 * np.pi * f * np.linspace(0, 1, 64, endpoint=False)) for f in freq_list] tst = np.array(a).sum(axis=0) # interpolate to 128 Hz sampling t_up = signaltools.resample(tst, 128) np.testing.assert_array_almost_equal(t_up[::2], tst) # downsample to 32 Hz t_dn = signaltools.resample(tst, 32) np.testing.assert_array_almost_equal(t_dn, tst[::2]) # downsample to 48 Hz, and compute the sampling analytically for comparison dn_samp_ana = np.array([np.sin(2 * np.pi * f * np.linspace(0, 1, 48, endpoint=False)) for f in freq_list]).sum(axis=0) t_dn2 = signaltools.resample(tst, 48) npt.assert_array_almost_equal(t_dn2, dn_samp_ana) def test_dpss_windows(): "Are the eigenvalues representing spectral concentration near unity" # these values from Percival and Walden 1993 _, l = tsa.dpss_windows(31, 6, 4) unos = np.ones(4) npt.assert_array_almost_equal(l, unos) _, l = tsa.dpss_windows(31, 7, 4) npt.assert_array_almost_equal(l, unos) _, l = tsa.dpss_windows(31, 8, 4) npt.assert_array_almost_equal(l, unos) _, l = tsa.dpss_windows(31, 8, 4.2) npt.assert_array_almost_equal(l, unos) def test_dpss_matlab(): """Do the dpss windows resemble the equivalent matlab result The variable b is read in from a text file generated by issuing: dpss(100,2) in matlab """ a, _ = tsa.dpss_windows(100, 2, 4) b = np.loadtxt(os.path.join(test_dir_path, 'dpss_matlab.txt')) npt.assert_almost_equal(a, b.T) def test_periodogram(): arsig, _, _ = ut.ar_generator(N=512) avg_pwr = (arsig * arsig.conjugate()).mean() f, psd = tsa.periodogram(arsig, N=2048) df = 2. * np.pi / 2048 avg_pwr_est = np.trapz(psd, dx=df) npt.assert_almost_equal(avg_pwr, avg_pwr_est, decimal=1) def permutation_system(N): p = np.zeros((N, N)) targets = list(range(N)) for i in range(N): popper = np.random.randint(0, high=len(targets)) j = targets.pop(popper) p[i, j] = 1 return p def test_boxcar_filter(): a = np.random.rand(100) b = tsa.boxcar_filter(a) npt.assert_equal(a, b) #Should also work for odd number of elements: a = np.random.rand(99) b = tsa.boxcar_filter(a) npt.assert_equal(a, b) b = tsa.boxcar_filter(a, ub=0.25) npt.assert_equal(a.shape, b.shape) b = tsa.boxcar_filter(a, lb=0.25) npt.assert_equal(a.shape, b.shape) def test_get_spectra(): """Testing get_spectra""" t = np.linspace(0, 16 * np.pi, 2 ** 10) x = (np.sin(t) + np.sin(2 * t) + np.sin(3 * t) + 0.1 * np.random.rand(t.shape[-1])) #First test for 1-d data: NFFT = 64 N = x.shape[-1] f_welch = tsa.get_spectra(x, method={'this_method': 'welch', 'NFFT': NFFT}) f_periodogram = tsa.get_spectra(x, method={'this_method': 'periodogram_csd'}) f_multi_taper = tsa.get_spectra(x, method={'this_method': 'multi_taper_csd'}) npt.assert_equal(f_welch[0].shape, (NFFT // 2 + 1,)) npt.assert_equal(f_periodogram[0].shape, (N // 2 + 1,)) npt.assert_equal(f_multi_taper[0].shape, (N // 2 + 1,)) #Test for multi-channel data x = np.reshape(x, (2, x.shape[-1] // 2)) N = x.shape[-1] #Make sure you get back the expected shape for different spectra: NFFT = 64 f_welch = tsa.get_spectra(x, method={'this_method': 'welch', 'NFFT': NFFT}) f_periodogram = tsa.get_spectra(x, method={'this_method': 'periodogram_csd'}) f_multi_taper = tsa.get_spectra(x, method={'this_method': 'multi_taper_csd'}) npt.assert_equal(f_welch[0].shape[0], NFFT / 2 + 1) npt.assert_equal(f_periodogram[0].shape[0], N / 2 + 1) npt.assert_equal(f_multi_taper[0].shape[0], N / 2 + 1) def test_psd_matlab(): """ Test the results of mlab csd/psd against saved results from Matlab""" from matplotlib import mlab test_dir_path = os.path.join(nitime.__path__[0], 'tests') ts = np.loadtxt(os.path.join(test_dir_path, 'tseries12.txt')) #Complex signal! ts0 = ts[1] + ts[0] * np.complex(0, 1) NFFT = 256 Fs = 1.0 noverlap = NFFT / 2 fxx, f = mlab.psd(ts0, NFFT=NFFT, Fs=Fs, noverlap=noverlap, scale_by_freq=True) fxx_mlab = fftpack.fftshift(fxx).squeeze() fxx_matlab = np.loadtxt(os.path.join(test_dir_path, 'fxx_matlab.txt')) npt.assert_almost_equal(fxx_mlab, fxx_matlab, decimal=5) def test_long_dpss_win(): """ Test that very long dpss windows can be generated (using interpolation)""" # This one is generated using interpolation: a1,e = tsa.dpss_windows(166800, 4, 8, interp_from=4096) # This one is calculated: a2,e = tsa.dpss_windows(166800, 4, 8) # They should be very similar: npt.assert_almost_equal(a1, a2, decimal=5) # They should both be very similar to the same one calculated in matlab # (using 'a = dpss(166800, 4, 8)'). test_dir_path = os.path.join(nitime.__path__[0], 'tests') matlab_long_dpss = np.load(os.path.join(test_dir_path, 'long_dpss_matlab.npy')) # We only have the first window to compare against: # Both for the interpolated case: npt.assert_almost_equal(a1[0], matlab_long_dpss, decimal=5) # As well as the calculated case: npt.assert_almost_equal(a1[0], matlab_long_dpss, decimal=5) nitime-rel-0.8.1/nitime/tests/test_analysis.py000066400000000000000000000275731350450615100214660ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import pytest import nitime.timeseries as ts import nitime.analysis as nta def test_SpectralAnalyzer(): Fs = np.pi t = np.arange(1024) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) C = nta.SpectralAnalyzer(T) f, c = C.psd npt.assert_equal(f.shape, (33,)) # This is the setting for this analyzer # (window-length of 64) npt.assert_equal(c.shape, (2, 33)) f, c = C.cpsd npt.assert_equal(f.shape, (33,)) # This is the setting for this analyzer # (window-length of 64) npt.assert_equal(c.shape, (2, 2, 33)) f, c = C.cpsd npt.assert_equal(f.shape, (33,)) # This is the setting for this analyzer # (window-length of 64) npt.assert_equal(c.shape, (2, 2, 33)) f, c = C.spectrum_fourier npt.assert_equal(f.shape, (t.shape[0] / 2 + 1,)) npt.assert_equal(c.shape, (2, t.shape[0] / 2 + 1)) f, c = C.spectrum_multi_taper npt.assert_equal(f.shape, (t.shape[0] / 2 + 1,)) npt.assert_equal(c.shape, (2, t.shape[0] / 2 + 1)) f, c = C.periodogram npt.assert_equal(f.shape, (t.shape[0] / 2 + 1,)) npt.assert_equal(c.shape, (2, t.shape[0] / 2 + 1)) # Test for data with only one channel T = ts.TimeSeries(x, sampling_rate=Fs) C = nta.SpectralAnalyzer(T) f, c = C.psd npt.assert_equal(f.shape, (33,)) # Same length for the frequencies npt.assert_equal(c.shape, (33,)) # 1-d spectrum for the single channels f, c = C.spectrum_multi_taper npt.assert_equal(f.shape, (t.shape[0] / 2 + 1,)) # Same length for the frequencies npt.assert_equal(c.shape, (t.shape[0] / 2 + 1,)) # 1-d spectrum for the single channels def test_CorrelationAnalyzer(): Fs = np.pi t = np.arange(1024) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) C = nta.CorrelationAnalyzer(T) # Test the symmetry: correlation(x,y)==correlation(y,x) npt.assert_almost_equal(C.corrcoef[0, 1], C.corrcoef[1, 0]) # Test the self-sameness: correlation(x,x)==1 npt.assert_almost_equal(C.corrcoef[0, 0], 1) npt.assert_almost_equal(C.corrcoef[1, 1], 1) # Test the cross-correlation: # First the symmetry: npt.assert_array_almost_equal(C.xcorr.data[0, 1], C.xcorr.data[1, 0]) # Test the normalized cross-correlation # The cross-correlation should be equal to the correlation at time-lag 0 npt.assert_equal(C.xcorr_norm.data[0, 1, C.xcorr_norm.time == 0], C.corrcoef[0, 1]) # And the auto-correlation should be equal to 1 at 0 time-lag: npt.assert_almost_equal(C.xcorr_norm.data[0, 0, C.xcorr_norm.time == 0], 1) # Does it depend on having an even number of time-points? # make another time-series with an odd number of items: t = np.arange(1023) x = np.sin(10 * t) + np.random.rand(t.shape[-1]) y = np.sin(10 * t) + np.random.rand(t.shape[-1]) T = ts.TimeSeries(np.vstack([x, y]), sampling_rate=Fs) C = nta.CorrelationAnalyzer(T) npt.assert_equal(C.xcorr_norm.data[0, 1, C.xcorr_norm.time == 0], C.corrcoef[0, 1]) def test_EventRelatedAnalyzer(): cycles = 10 l = 1024 unit = 2 * np.pi / l t = np.arange(0, 2 * np.pi + unit, unit) signal = np.sin(cycles * t) events = np.zeros(t.shape) # Zero crossings: idx = np.where(np.abs(signal) < 0.03)[0] # An event occurs at the beginning of every cycle: events[idx[:-2:2]] = 1 # and another kind of event at the end of each cycle: events[idx[1:-1:2]] = 2 T_signal = ts.TimeSeries(signal, sampling_rate=1) T_events = ts.TimeSeries(events, sampling_rate=1) for correct_baseline in [True, False]: ETA = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2), correct_baseline=correct_baseline).eta # This should hold npt.assert_almost_equal(ETA.data[0], signal[:ETA.data.shape[-1]], 3) npt.assert_almost_equal(ETA.data[1], -1 * signal[:ETA.data.shape[-1]], 3) # Same should be true for the FIR analysis: FIR = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2)).FIR npt.assert_almost_equal(FIR.data[0], signal[:FIR.data.shape[-1]], 3) npt.assert_almost_equal(FIR.data[1], -1 * signal[:FIR.data.shape[-1]], 3) # Same should be true for XCORR = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2)).xcorr_eta npt.assert_almost_equal(XCORR.data[0], signal[:XCORR.data.shape[-1]], 3) npt.assert_almost_equal(XCORR.data[1], -1 * signal[:XCORR.data.shape[-1]], 3) # More dimensions: T_signal = ts.TimeSeries(np.vstack([signal, signal]), sampling_rate=1) T_events = ts.TimeSeries(np.vstack([events, events]), sampling_rate=1) ETA = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2)).eta # The events input and the time-series input have different dimensions: T_events = ts.TimeSeries(events, sampling_rate=1) ETA = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2)).eta npt.assert_almost_equal(ETA.data[0][0], signal[:ETA.data.shape[-1]], 3) npt.assert_almost_equal(ETA.data[1][1], -1 * signal[:ETA.data.shape[-1]], 3) # Input is an Events object, instead of a time-series: ts1 = ts.TimeSeries(np.arange(100), sampling_rate=1) ev = ts.Events([10, 20, 30]) et = nta.EventRelatedAnalyzer(ts1, ev, 5) # The five points comprising the average of the three sequences: npt.assert_equal(et.eta.data, [20., 21., 22., 23., 24.]) ts2 = ts.TimeSeries(np.arange(200).reshape(2, 100), sampling_rate=1) ev = ts.Events([10, 20, 30]) et = nta.EventRelatedAnalyzer(ts2, ev, 5) npt.assert_equal(et.eta.data, [[20., 21., 22., 23., 24.], [120., 121., 122., 123., 124.]]) # The event-triggered SEM should be approximately zero: for correct_baseline in [True,False]: EA = nta.EventRelatedAnalyzer(T_signal, T_events, l / (cycles * 2), correct_baseline=correct_baseline) npt.assert_almost_equal(EA.ets.data[0], np.zeros_like(EA.ets.data[0]), decimal=2) # Test the et_data method: npt.assert_almost_equal(EA.et_data[0][0].data[0], signal[:ETA.data.shape[-1]]) # Test that providing the analyzer with an array, instead of an Events or a # TimeSeries object throws an error: with pytest.raises(ValueError) as e_info: nta.EventRelatedAnalyzer(ts2, events, 10) # This is not yet implemented, so this should simply throw an error, for # now: with pytest.raises(NotImplementedError) as e_info: nta.EventRelatedAnalyzer.FIR_estimate(EA) def test_HilbertAnalyzer(): """Testing the HilbertAnalyzer (analytic signal)""" pi = np.pi Fs = np.pi t = np.arange(0, 2 * pi, pi / 256) a0 = np.sin(t) a1 = np.cos(t) a2 = np.sin(2 * t) a3 = np.cos(2 * t) T = ts.TimeSeries(data=np.vstack([a0, a1, a2, a3]), sampling_rate=Fs) H = nta.HilbertAnalyzer(T) h_abs = H.amplitude.data h_angle = H.phase.data h_real = H.real.data #The real part should be equal to the original signals: npt.assert_almost_equal(h_real, T.data) #The absolute value should be one everywhere, for this input: npt.assert_almost_equal(h_abs, np.ones(T.data.shape)) #For the 'slow' sine - the phase should go from -pi/2 to pi/2 in the first #256 bins: npt.assert_almost_equal(h_angle[0, :256], np.arange(-pi / 2, pi / 2, pi / 256)) #For the 'slow' cosine - the phase should go from 0 to pi in the same #interval: npt.assert_almost_equal(h_angle[1, :256], np.arange(0, pi, pi / 256)) #The 'fast' sine should make this phase transition in half the time: npt.assert_almost_equal(h_angle[2, :128], np.arange(-pi / 2, pi / 2, pi / 128)) #Ditto for the 'fast' cosine: npt.assert_almost_equal(h_angle[3, :128], np.arange(0, pi, pi / 128)) def test_FilterAnalyzer(): """Testing the FilterAnalyzer """ t = np.arange(np.pi / 100, 10 * np.pi, np.pi / 100) fast = np.sin(50 * t) + 10 slow = np.sin(10 * t) - 20 fast_mean = np.mean(fast) slow_mean = np.mean(slow) fast_ts = ts.TimeSeries(data=fast, sampling_rate=np.pi) slow_ts = ts.TimeSeries(data=slow, sampling_rate=np.pi) #Make sure that the DC is preserved f_slow = nta.FilterAnalyzer(slow_ts, ub=0.6) f_fast = nta.FilterAnalyzer(fast_ts, lb=0.6) npt.assert_almost_equal(f_slow.filtered_fourier.data.mean(), slow_mean, decimal=2) npt.assert_almost_equal(f_slow.filtered_boxcar.data.mean(), slow_mean, decimal=2) npt.assert_almost_equal(f_slow.fir.data.mean(), slow_mean) npt.assert_almost_equal(f_slow.iir.data.mean(), slow_mean) npt.assert_almost_equal(f_fast.filtered_fourier.data.mean(), 10) npt.assert_almost_equal(f_fast.filtered_boxcar.data.mean(), 10, decimal=2) npt.assert_almost_equal(f_fast.fir.data.mean(), 10) npt.assert_almost_equal(f_fast.iir.data.mean(), 10) #Check that things work with a two-channel time-series: T2 = ts.TimeSeries(np.vstack([fast, slow]), sampling_rate=np.pi) f_both = nta.FilterAnalyzer(T2, ub=1.0, lb=0.1) #These are rather basic tests: npt.assert_equal(f_both.fir.shape, T2.shape) npt.assert_equal(f_both.iir.shape, T2.shape) npt.assert_equal(f_both.filtered_boxcar.shape, T2.shape) npt.assert_equal(f_both.filtered_fourier.shape, T2.shape) # Check that t0 is propagated to the filtered time-series t0 = np.pi T3 = ts.TimeSeries(np.vstack([fast, slow]), sampling_rate=np.pi, t0=t0) f_both = nta.FilterAnalyzer(T3, ub=1.0, lb=0.1) # These are rather basic tests: npt.assert_equal(f_both.fir.t0, ts.TimeArray(t0, time_unit=T3.time_unit)) npt.assert_equal(f_both.iir.t0, ts.TimeArray(t0, time_unit=T3.time_unit)) npt.assert_equal(f_both.filtered_boxcar.t0, ts.TimeArray(t0, time_unit=T3.time_unit)) npt.assert_equal(f_both.filtered_fourier.t0, ts.TimeArray(t0, time_unit=T3.time_unit)) def test_NormalizationAnalyzer(): """Testing the NormalizationAnalyzer """ t1 = ts.TimeSeries(data=[[99, 100, 101], [99, 100, 101]], sampling_interval=1.) t2 = ts.TimeSeries(data=[[-1, 0, 1], [-1, 0, 1]], sampling_interval=1.) N1 = nta.NormalizationAnalyzer(t1) npt.assert_almost_equal(N1.percent_change[0], t2[0]) t3 = ts.TimeSeries(data=[[100, 102], [1, 3]], sampling_interval=1.) t4 = ts.TimeSeries(data=[[-1, 1], [-1, 1]], sampling_interval=1.) N2 = nta.NormalizationAnalyzer(t3) npt.assert_almost_equal(N2.z_score[0], t4[0]) def test_MorletWaveletAnalyzer(): """Testing the MorletWaveletAnalyzer """ time_series = ts.TimeSeries(data=np.random.rand(100), sampling_rate=100) W = nta.MorletWaveletAnalyzer(time_series, freqs=20) WL = nta.MorletWaveletAnalyzer(time_series, freqs=20, log_morlet=True) H = nta.HilbertAnalyzer(W.real) HL = nta.HilbertAnalyzer(WL.real) npt.assert_almost_equal(np.sin(H.phase.data[10:-10]), np.sin(W.phase.data[10:-10]), decimal=0) npt.assert_almost_equal(np.sin(HL.phase.data[10:-10]), np.sin(WL.phase.data[10:-10]), decimal=0) nitime-rel-0.8.1/nitime/tests/test_descriptors.py000066400000000000000000000021611350450615100221660ustar00rootroot00000000000000"""Tests for the descriptors module. """ #----------------------------------------------------------------------------- # Imports #----------------------------------------------------------------------------- import numpy.testing as nt from nitime import descriptors as desc #----------------------------------------------------------------------------- # Support classes and functions #----------------------------------------------------------------------------- class A(desc.ResetMixin): @desc.auto_attr def y(self): return self.x / 2.0 @desc.auto_attr def z(self): return self.x / 3.0 def __init__(self, x=1.0): self.x = x #----------------------------------------------------------------------------- # Test functions #----------------------------------------------------------------------------- def test(): a = A(10) nt.assert_('y' not in a.__dict__) nt.assert_(a.y == 5) nt.assert_('y' in a.__dict__) a.x = 20 nt.assert_(a.y == 5) # Call reset and no error should be raised even though z was never accessed a.reset() nt.assert_(a.y == 10) nitime-rel-0.8.1/nitime/tests/test_lazy.py000066400000000000000000000033441350450615100206100ustar00rootroot00000000000000import sys import numpy as np import numpy.testing as npt import pytest import nitime.lazyimports as l # The next test requires nitime.lazyimports.disable_lazy_imports to have been # set to false, otherwise the lazy import machinery is disabled and all imports # happen at l.LazyImport calls which become equivalent to regular import # statements @pytest.mark.skipif(l.disable_lazy_imports, reason="Lazy imports disabled") def test_lazy(): mlab = l.LazyImport('matplotlib.mlab') # repr for mlab should be assert 'lazily loaded' in repr(mlab) # accessing mlab's attribute will cause an import of mlab npt.assert_(np.all(mlab.detrend_mean(np.array([1, 2, 3])) == np.array([-1., 0., 1.]))) # now mlab should be of class LoadedLazyImport an repr(mlab) should be # assert 'lazily loaded' not in repr(mlab) # A known limitation of our lazy loading implementation is that, when it it is # enabled, reloading the module raises an ImportError, and it also does not # actually perform a reload, as demonstrated by this test. @pytest.mark.skipif(l.disable_lazy_imports, reason="Lazy imports disabled") def test_lazy_noreload(): "Reloading of lazy modules causes ImportError" mod = l.LazyImport('sys') # accessing module dictionary will trigger an import len(mod.__dict__) # do not use named tuple feature for Python 2.6 compatibility major, minor = sys.version_info[:2] if major == 2: with pytest.raises(ImportError) as e_info: reload(mod) elif major == 3: import imp with pytest.raises(ImportError) as e_info: imp.reload(mod) nitime-rel-0.8.1/nitime/tests/test_timeseries.py000066400000000000000000001021411350450615100217750ustar00rootroot00000000000000import numpy as np import numpy.testing as npt import nitime.timeseries as ts import pytest def test_get_time_unit(): number = 4 npt.assert_equal(ts.get_time_unit(number), None) list_of_numbers = [4, 5, 6] npt.assert_equal(ts.get_time_unit(list_of_numbers), None) for tu in ['ps', 's', 'D']: time_point = ts.TimeArray([4], time_unit=tu) npt.assert_equal(ts.get_time_unit(time_point), tu) list_of_time = [ts.TimeArray(4, time_unit=tu), ts.TimeArray(5, time_unit=tu)] npt.assert_equal(ts.get_time_unit(list_of_time), tu) # Go crazy, we don't mind: list_of_lists = [[ts.TimeArray(4, time_unit=tu), ts.TimeArray(5, time_unit=tu)], [ts.TimeArray(4, time_unit=tu), ts.TimeArray(5, time_unit=tu)]] npt.assert_equal(ts.get_time_unit(list_of_lists), tu) time_arr = ts.TimeArray([4, 5], time_unit=tu) npt.assert_equal(ts.get_time_unit(time_arr), tu) def test_TimeArray(): time1 = ts.TimeArray(list(range(100)), time_unit='ms') time2 = time1 + time1 npt.assert_equal(time2.time_unit, 'ms') time1 = ts.TimeArray(10 ** 6) npt.assert_equal(time1.__repr__(), '1000000.0 s') #TimeArray can't be more than 1-d: with pytest.raises(ValueError) as e_info: ts.TimeArray(np.zeros((2, 2))) dt = ts.TimeArray(0.001, time_unit='s') tt = ts.TimeArray([dt]) npt.assert_equal(dt, tt) t1 = ts.TimeArray([0, 1, 2, 3]) t2 = ts.TimeArray([ts.TimeArray(0), ts.TimeArray(1), ts.TimeArray(2), ts.TimeArray(3)]) npt.assert_equal(t1, t2) def test_TimeArray_math(): "Addition and subtraction should convert to TimeArray units" time1 = ts.TimeArray(list(range(10)), time_unit='ms') time2 = ts.TimeArray(list(range(1,11)), time_unit='ms') # units should be converted to whatever units the array has time3 = time1 + 1 npt.assert_equal(time2,time3) time4 = time2 - 1 npt.assert_equal(time1,time4) # floats should also work time3 = time1 + 1.0 npt.assert_equal(time2,time3) time4 = time2 - 1.0 npt.assert_equal(time1,time4) # test the r* versions time3 = 1 + time1 npt.assert_equal(time2,time3) time4 = 1 - time2 npt.assert_equal(-time1,time4) # floats should also work time3 = 1.0 + time1 npt.assert_equal(time2,time3) time4 = 1.0 - time2 npt.assert_equal(-time1,time4) timeunits = ts.TimeArray(list(range(10)), time_unit='s') timeunits.convert_unit('ms') # now, math with non-TimeArrays should be based on the new time_unit # here the range() list gets converted to a TimeArray with the same units # as timeunits (which is now 'ms') tnew = timeunits + list(range(10)) npt.assert_equal(tnew, timeunits+time1) # recall that time1 was 0-10ms def test_TimeArray_comparison(): "Comparison with unitless quantities should convert to TimeArray units" time = ts.TimeArray(list(range(10)), time_unit='ms') npt.assert_equal(time < 5 , [True]*5+[False]*5) npt.assert_equal(time > 5 , [False]*6+[True]*4) npt.assert_equal(time <= 5, [True]*6+[False]*4) npt.assert_equal(time >= 5, [False]*5+[True]*5) npt.assert_equal(time == 5, [False]*5+[True] + [False]*4) time.convert_unit('s') # now all of time is < 1 in the new time_unit npt.assert_equal(time < 5 , [True]*10) npt.assert_equal(time > 5 , [False]*10) npt.assert_equal(time <= 5, [True]*10) npt.assert_equal(time >= 5, [False]*10) npt.assert_equal(time == 5, [False]*10) def test_TimeArray_init_int64(): """Make sure that we can initialize TimeArray with an array of ints""" time = ts.TimeArray(np.int64(1)) npt.assert_equal(time.__repr__(), '1.0 s') pass def test_TimeArray_init_list(): """Initializing with a list that contains TimeArray should work. """ for t in [0.001, ts.TimeArray(0.001, time_unit='s')]: tl = [t] ta = ts.TimeArray(t, time_unit='s') tla = ts.TimeArray(tl, time_unit='s') npt.assert_(ta, tla) def test_TimeArray_repr(): """ >>> a = ts.TimeArray([1.1,2,3]) >>> a TimeArray([ 1.1, 2. , 3. ], time_unit='s') >>> t = ts.TimeArray(a,time_unit='ms') >>> t TimeArray([ 1100., 2000., 3000.], time_unit='ms') >>> t[0] 1100.0 ms """ def test_TimeArray_copyflag(): """Testing the setting of the copy-flag, where that makes sense""" #These two should both generate a TimeArray, with one picosecond. #This one holds time_unit='s' t1 = ts.TimeArray(np.array([1], dtype=np.int64), copy=False) #This one holds time_unit='ps': t2 = ts.TimeArray(1, time_unit='ps') t3 = ts.TimeArray(t2, copy=False) npt.assert_equal(t1, t2) npt.assert_equal(t2.ctypes.data, t3.ctypes.data) def test_TimeArray_new(): for unit in ['ns', 'ms', 's', None]: for flag in [True, False]: #list -doesn't make sense to set copy=True time2 = ts.TimeArray(list(range(5)), time_unit=unit, copy=True) #numpy array (float) - doesn't make sense to set copy=True time2f = ts.TimeArray(np.arange(5.), time_unit=unit, copy=True) #TimeArray time3 = ts.TimeArray(time2, time_unit=unit, copy=flag) #integer time4 = ts.TimeArray(5, time_unit=unit, copy=True) #float time5 = ts.TimeArray(5.0, time_unit=unit, copy=True) npt.assert_equal(time2, time2f) npt.assert_equal(time2, time3) time3[0] += 100 if flag: npt.assert_(time2[0] != time3[0]) else: npt.assert_(time2[0] == time3[0]) npt.assert_equal(time2[1:], time3[1:]) npt.assert_equal(time4, time5) def test_TimeArray_bool(): time1 = ts.TimeArray([1, 2, 3], time_unit='s') time2 = ts.TimeArray([1000, 2000, 3000], time_unit='ms') bool_arr = np.ones(time1.shape, dtype=bool) npt.assert_equal(time1, time2) npt.assert_equal(bool_arr, time1 == time2) npt.assert_(type(time1 == time2) is not ts.TimeArray) def test_TimeArray_convert_unit(): """ >>> a = ts.TimeArray([1,2,3,4]) >>> a.convert_unit('ms') >>> a TimeArray([ 1000., 2000., 3000., 4000.], time_unit='ms') >>> a.time_unit 'ms' >>> b = ts.TimeArray([1,2,3,4],'s') >>> a==b array([ True, True, True, True], dtype=bool) """ def test_TimeArray_div(): #divide singelton by singleton: a = 2.0 b = 6.0 time1 = ts.TimeArray(a, time_unit='s') time2 = ts.TimeArray(b, time_unit='s') div1 = a / b #This should eliminate the units and return a float, not a TimeArray: div2 = time1 / time2 npt.assert_equal(div1, div2) #Divide a TimeArray by a singelton: a = np.array([1, 2, 3]) b = 6.0 time1 = ts.TimeArray(a, time_unit='s') time2 = ts.TimeArray(b, time_unit='s') div1 = a / b #This should eliminate the units and return a float array, not a TimeArray: div2 = time1 / time2 npt.assert_equal(div1, div2) #Divide a TimeArray by another TimeArray: a = np.array([1, 2, 3]) b = np.array([2, 2, 2]).astype(float) # TimeArray division is float division! time1 = ts.TimeArray(a, time_unit='s') time2 = ts.TimeArray(b, time_unit='s') div1 = a / b #This should eliminate the units and return a float array, not a TimeArray: div2 = time1 / time2 npt.assert_equal(div1, div2) def test_TimeArray_index_at(): time1 = ts.TimeArray(list(range(10)), time_unit='ms') for i in range(5): # The return value is always an array, so we keep it for multiple tests i_arr = np.array(i) # Check 'closest' indexing mode first idx = time1.index_at(i) npt.assert_equal(idx, i_arr) # If we index with seconds/1000, results shouldn't vary idx_secs = time1.index_at(ts.TimeArray(i / 1000., time_unit='s')) npt.assert_equal(idx_secs, i_arr) # If we now change the tolerance # In this case, it should still return idx = time1.index_at(i + 0.1, tol=0.1) npt.assert_equal(idx, i_arr) # But with a smaller tolerance, we should get no indices idx = time1.index_at(i + 0.1, tol=0.05) npt.assert_equal(idx, np.array([])) # Now, check before/after modes idx = time1.index_at(i + 0.1, mode='before') npt.assert_equal(idx, i_arr) idx = time1.index_at(i + 0.1, mode='after') npt.assert_equal(idx, i_arr + 1) def test_TimeArray_at(): time1 = ts.TimeArray(list(range(10)), time_unit='ms') for i in range(10): this = time1.at(i) i_ms = ts.TimeArray(i / 1000.) npt.assert_equal(this, ts.TimeArray(i, time_unit='ms')) this_secs = time1.at(i_ms) npt.assert_equal(this_secs, ts.TimeArray(i, time_unit='ms')) seconds_array = ts.TimeArray(time1, time_unit='s') this_secs = seconds_array.at(i / 1000.) npt.assert_equal(this_secs, ts.TimeArray(i, time_unit='ms')) all = time1.at(i_ms, tol=10) npt.assert_equal(all, time1) if i > 0 and i < 9: this_secs = time1.at(i_ms, tol=1) npt.assert_equal(this_secs, ts.TimeArray([i - 1, i, i + 1], time_unit='ms')) def test_TimeArray_at2(): time1 = ts.TimeArray(list(range(10)), time_unit='ms') for i in [1]: i_ms = ts.TimeArray(i / 1000.) this_secs = time1.at(i_ms, tol=1) npt.assert_equal(this_secs, ts.TimeArray([i - 1, i, i + 1], time_unit='ms')) def test_UniformTime_index_at(): time1 = ts.UniformTime(t0=1000, length=10, sampling_rate=1000, time_unit='ms') mask = [False] * 10 for i in range(10): idx = time1.index_at(ts.TimeArray(1000 + i, time_unit='ms')) npt.assert_equal(idx, np.array(i)) mask[i] = True mask_idx = time1.index_at(ts.TimeArray(1000 + i, time_unit='ms'), boolean=True) npt.assert_equal(mask_idx, mask) if i > 0 and i < 9: mask[i - 1] = True mask[i + 1] = True mask_idx = time1.index_at( ts.TimeArray([999 + i, 1000 + i, 1001 + i], time_unit='ms'), boolean=True) npt.assert_equal(mask_idx, mask) mask[i - 1] = False mask[i + 1] = False mask[i] = False #XXX Need to write these tests: #Test the unit conversion: # #def test_TimeArray_unit_conversion(): #Test the overloaded __getitem__ and __setitem: # def test_TimeArray_getset(): t1 = ts.TimeSeries(data = np.random.rand(2, 3, 4), sampling_rate=1) npt.assert_equal(t1[0],t1.data[...,0]) def test_UniformTime(): tuc = ts.time_unit_conversion for unit, duration in zip(['ns', 'ms', 's', None], [2 * 10 ** 9, 2 * 10 ** 6, 100, 20]): t1 = ts.UniformTime(duration=duration, sampling_rate=1, time_unit=unit) t2 = ts.UniformTime(duration=duration, sampling_rate=20, time_unit=unit) #The following two tests verify that first-last are equal to the #duration, but it is unclear whether that is really the behavior we #want, because the t_i held by a TimeSeries is the left #(smaller) side of the time-duration defined by the bin #The difference between the first and last item is the duration: #npt.assert_equal(t1[-1]-t1[0], # ts.TimeArray(duration,time_unit=unit)) #Duration doesn't depend on the sampling rate: #npt.assert_equal(t1[-1]-t2[0], # ts.TimeArray(duration,time_unit=unit)) a = ts.UniformTime(duration=10, sampling_rate=1) b = ts.UniformTime(a, time_unit=unit) npt.assert_equal(a.sampling_interval, b.sampling_interval) npt.assert_equal(a.sampling_rate, b.sampling_rate) b = ts.UniformTime(a, duration=2 * duration, time_unit=unit) npt.assert_equal(a.sampling_interval, b.sampling_interval) npt.assert_equal(a.sampling_rate, b.sampling_rate) b = ts.UniformTime(a, length=100, time_unit=unit) npt.assert_equal(a.sampling_interval, b.sampling_interval) npt.assert_equal(a.sampling_rate, b.sampling_rate) b = ts.UniformTime(a, length=100, time_unit=unit) npt.assert_equal(a.sampling_interval, b.sampling_interval) npt.assert_equal(a.sampling_rate, b.sampling_rate) b = ts.UniformTime(a, length=100, duration=duration, time_unit=unit) c = ts.UniformTime(length=100, duration=duration, time_unit=unit) npt.assert_equal(c, b) b = ts.UniformTime(sampling_interval=1, duration=10, time_unit=unit) c = ts.UniformTime(sampling_rate=tuc['s'] / tuc[unit], length=10, time_unit=unit) npt.assert_equal(c, b) #This should raise a value error, because the duration is shorter than #the sampling_interval: with pytest.raises(ValueError) as e_info: ts.UniformTime(dict(sampling_interval=10, duration=1)) #Time objects can be initialized with other time objects setting the #duration, sampling_interval and sampling_rate: a = ts.UniformTime(length=1, sampling_rate=1) with pytest.raises(ValueError) as e_info: ts.UniformTime(dict(data=a, sampling_rate=10, sampling_interval=.1)) b = ts.UniformTime(duration=2 * a.sampling_interval, sampling_rate=2 * a.sampling_rate) npt.assert_equal(ts.Frequency(b.sampling_rate), ts.Frequency(2 * a.sampling_rate)) npt.assert_equal(b.sampling_interval, ts.TimeArray(0.5 * a.sampling_rate)) b = ts.UniformTime(duration=10, sampling_interval=a.sampling_interval) npt.assert_equal(b.sampling_rate, a.sampling_rate) b = ts.UniformTime(duration=10, sampling_rate=a.sampling_rate) npt.assert_equal(b.sampling_interval, a.sampling_interval) # make sure the t0 ando other attribute is copied a = ts.UniformTime(length=1, sampling_rate=1) b = a.copy() npt.assert_equal(b.duration, a.duration) npt.assert_equal(b.sampling_rate, a.sampling_rate) npt.assert_equal(b.sampling_interval, a.sampling_interval) npt.assert_equal(b.t0, a.t0) def test_UniformTime_repr(): """ >>> time1 = ts.UniformTime(sampling_rate=1000,time_unit='ms',length=3) >>> time1.sampling_rate 1000.0 Hz >>> time1 UniformTime([ 0., 1., 2.], time_unit='ms') >>> time2= ts.UniformTime(sampling_rate=1000,time_unit='s',length=3) >>> time2.sampling_rate 1000.0 Hz >>> time2 UniformTime([ 0. , 0.001, 0.002], time_unit='s') >>> a = ts.UniformTime(length=5,sampling_rate=1,time_unit='ms') >>> b = ts.UniformTime(a) >>> b UniformTime([ 0., 1000., 2000., 3000., 4000.], time_unit='ms') >>> a UniformTime([ 0., 1000., 2000., 3000., 4000.], time_unit='ms') >>> b = ts.UniformTime(a,time_unit='s') >>> b UniformTime([ 0., 1., 2., 3., 4.], time_unit='s') >>> a = ts.UniformTime(length=1,sampling_rate=2) >>> b = ts.UniformTime(length=10,sampling_interval=a.sampling_interval) >>> b.sampling_rate 2.0 Hz """ def test_Frequency(): """Test frequency representation object""" tuc = ts.time_unit_conversion for unit in ['ns', 'ms', 's', None]: f = ts.Frequency(1, time_unit=unit) npt.assert_equal(f.to_period(), tuc[unit]) f = ts.Frequency(1000, time_unit=unit) npt.assert_equal(f.to_period(), tuc[unit] / 1000) f = ts.Frequency(0.001, time_unit=unit) npt.assert_equal(f.to_period(), tuc[unit] * 1000) def test_TimeSeries(): """Testing the initialization of the uniform time series object """ #Test initialization with duration: tseries1 = ts.TimeSeries([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], duration=10) tseries2 = ts.TimeSeries([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], sampling_interval=1) npt.assert_equal(tseries1.time, tseries2.time) #downsampling: t1 = ts.UniformTime(length=8, sampling_rate=2) #duration is the same, but we're downsampling to 1Hz tseries1 = ts.TimeSeries(data=[1, 2, 3, 4], time=t1, sampling_rate=1) #If you didn't explicitly provide the rate you want to downsample to, that #is an error: with pytest.raises(ValueError) as e_info: ts.TimeSeries(dict(data=[1, 2, 3, 4], time=t1)) tseries2 = ts.TimeSeries(data=[1, 2, 3, 4], sampling_rate=1) tseries3 = ts.TimeSeries(data=[1, 2, 3, 4], sampling_rate=1000, time_unit='ms') #you can specify the sampling_rate or the sampling_interval, to the same #effect, where specificying the sampling_interval is in the units of that #time-series: tseries4 = ts.TimeSeries(data=[1, 2, 3, 4], sampling_interval=1, time_unit='ms') npt.assert_equal(tseries4.time, tseries3.time) #The units you use shouldn't matter - time is time: tseries6 = ts.TimeSeries(data=[1, 2, 3, 4], sampling_interval=0.001, time_unit='s') npt.assert_equal(tseries6.time, tseries3.time) #And this too - perverse, but should be possible: tseries5 = ts.TimeSeries(data=[1, 2, 3, 4], sampling_interval=ts.TimeArray(0.001, time_unit='s'), time_unit='ms') npt.assert_equal(tseries5.time, tseries3.time) #initializing with a UniformTime object: t = ts.UniformTime(length=3, sampling_rate=3) data = [1, 2, 3] tseries7 = ts.TimeSeries(data=data, time=t) npt.assert_equal(tseries7.data, data) data = [1, 2, 3, 4] #If the data is not the right length, that should throw an error: with pytest.raises(ValueError) as e_info: ts.TimeSeries(dict(data=data, time=t)) # test basic arithmetics with TimeSeries tseries1 = ts.TimeSeries([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], sampling_rate=1) tseries2 = tseries1 + 1 npt.assert_equal(tseries1.data + 1, tseries2.data) npt.assert_equal(tseries1.time, tseries2.time) tseries2 -= 1 npt.assert_equal(tseries1.data, tseries2.data) npt.assert_equal(tseries1.time, tseries2.time) tseries2 = tseries1 * 2 npt.assert_equal(tseries1.data * 2, tseries2.data) npt.assert_equal(tseries1.time, tseries2.time) tseries2 = tseries2 / 2 npt.assert_equal(tseries1.data, tseries2.data) npt.assert_equal(tseries1.time, tseries2.time) tseries_nd1 = ts.TimeSeries(np.random.randn(3, 100), sampling_rate=1) tseries_nd2 = ts.TimeSeries(np.random.randn(3, 100), sampling_rate=1) npt.assert_equal((tseries_nd1 + tseries_nd2).data, tseries_nd1.data + tseries_nd2.data) npt.assert_equal((tseries_nd1 - tseries_nd2).data, tseries_nd1.data - tseries_nd2.data) npt.assert_equal((tseries_nd1 * tseries_nd2).data, tseries_nd1.data * tseries_nd2.data) npt.assert_equal((tseries_nd1 / tseries_nd2).data, tseries_nd1.data / tseries_nd2.data) def test_TimeSeries_repr(): """ >>> t=ts.UniformTime(length=3,sampling_rate=3) >>> tseries1 = ts.TimeSeries(data=[3,5,8],time=t) >>> t.sampling_rate 3.0 Hz >>> tseries1.sampling_rate 3.0 Hz >>> tseries1 = ts.TimeSeries(data=[3,5,8],sampling_rate=3) >>> tseries1.time UniformTime([ 0. , 0.3333, 0.6667], time_unit='s') >>> tseries1.sampling_rate 3.0 Hz >>> tseries1.sampling_interval 0.333333333333 s >>> a = ts.UniformTime(length=1,sampling_rate=2) >>> b = ts.TimeSeries(data=[1,2,3],sampling_interval=a.sampling_interval) >>> b.sampling_rate 2.0 Hz >>> a = ts.UniformTime(length=1,sampling_rate=1) >>> b = ts.TimeSeries(data=[1,2,3],sampling_interval=a.sampling_interval) >>> b.sampling_rate 1.0 Hz """ def test_Epochs(): tms = ts.TimeArray(data=list(range(100)), time_unit='ms') tmin = ts.TimeArray(data=list(range(100)), time_unit='m') tsec = ts.TimeArray(data=list(range(100)), time_unit='s') utms = ts.UniformTime(length=100, sampling_interval=1, time_unit='ms') utmin = ts.UniformTime(length=100, sampling_interval=1, time_unit='m') utsec = ts.UniformTime(length=100, sampling_interval=1, time_unit='s') tsms = ts.TimeSeries(data=list(range(100)), sampling_interval=1, time_unit='ms') tsmin = ts.TimeSeries(data=list(range(100)), sampling_interval=1, time_unit='m') tssec = ts.TimeSeries(data=list(range(100)), sampling_interval=1, time_unit='s') # one millisecond epoch e1ms = ts.Epochs(0, 1, time_unit='ms') e09ms = ts.Epochs(0.1, 1, time_unit='ms') msg = "Seems like a problem with copy=False in TimeArray constructor." npt.assert_equal(e1ms.duration, ts.TimeArray(1, time_unit='ms'), msg) # one day e1d = ts.Epochs(0, 1, time_unit='D') npt.assert_equal(e1d.duration, ts.TimeArray(1, time_unit='D'), msg) e1ms_ar = ts.Epochs([0, 0], [1, 1], time_unit='ms') for t in [tms, tmin, tsec, utms, utmin, utsec]: # the sample time arrays are all at least 1ms long, so this should # return a timearray that has exactly one time point in it npt.assert_equal(len(t.during(e1ms)), 1) # this time epoch should not contain any point npt.assert_equal(len(t.during(e09ms)), 0) # make sure, slicing doesn't change the class npt.assert_equal(type(t), type(t.during(e1ms))) for t in [tsms, tsmin, tssec]: # the sample time series are all at least 1ms long, so this should # return a timeseries that has exactly one time point in it npt.assert_equal(len(t.during(e1ms)), 1) # make sure, slicing doesn't change the class npt.assert_equal(type(t), type(t.during(e1ms))) # same thing but now there's an array of epochs e2 = ts.Epochs([0, 10], [10, 20], time_unit=t.time_unit) # make sure, slicing doesn't change the class for array of epochs npt.assert_equal(type(t), type(t.during(e2))) # Indexing with an array of epochs (all of which are the same length) npt.assert_equal(t[e2].data.shape, (2, 10)) npt.assert_equal(len(t.during(e2)), 10) npt.assert_equal(t[e2].data.ndim, 2) # check the data at some timepoints (a dimension was added) npt.assert_equal(t[e2][0], (0, 10)) npt.assert_equal(t[e2][1], (1, 11)) # check the data for each epoch npt.assert_equal(t[e2].data[0], list(range(10))) npt.assert_equal(t[e2].data[1], list(range(10, 20))) npt.assert_equal(t[e2].duration, e2[0].duration) # slice with Epochs of different length (not supported for timeseries, # raise error, though future jagged array implementation could go here) ejag = ts.Epochs([0, 10], [10, 40], time_unit=t.time_unit) # next line is the same as t[ejag] with pytest.raises(ValueError) as e_info: t.__getitem__(ejag) # if an epoch lies entirely between samples in the timeseries, # return an empty array eshort = ts.Epochs(2.5, 2.7, time_unit=t.time_unit) npt.assert_equal(len(t[eshort].data), 0) e1ms_outofrange = ts.Epochs(200, 300, time_unit=t.time_unit) # assert that with the epoch moved outside of the time range of our # data, slicing with the epoch now yields an empty array with pytest.raises(ValueError) as e_info: t.during(dict(e=e1ms_outofrange)) # the sample timeseries are all shorter than a day, so this should # raise an error (instead of padding, or returning a shorter than # expected array. with pytest.raises(ValueError) as e_info: t.during(dict(e=e1d)) def test_basic_slicing(): t = ts.TimeArray(list(range(4))) for x in range(3): ep = ts.Epochs(.5,x+.5) npt.assert_equal(len(t[ep]), x) # epoch starts before timeseries npt.assert_equal(len(t[ts.Epochs(-1,3)]), len(t)-1) # epoch ends after timeseries npt.assert_equal(len(t[ts.Epochs(.5,5)]), len(t)-1) # epoch starts before and ends after timeseries npt.assert_equal(len(t[ts.Epochs(-1,100)]), len(t)) ep = ts.Epochs(20,100) npt.assert_equal(len(t[ep]), 0) def test_Events(): # time has to be one-dimensional with pytest.raises(ValueError) as e_info: ts.Events(np.zeros((2, 2))) t = ts.TimeArray([1, 2, 3], time_unit='ms') x = [1, 2, 3] y = [2, 4, 6] z = [10., 20., 30.] i0 = [0, 0, 1] i1 = [0, 1, 2] for unit in [None, 's', 'ns', 'D']: # events with data ev1 = ts.Events(t, time_unit=unit, i=x, j=y, k=z) # events with indices ev2 = ts.Events(t, time_unit=unit, indices=[i0, i1]) # events with indices and labels ev3 = ts.Events(t, time_unit=unit, labels=['trial', 'other'], indices=[i0, i1]) # Note that the length of indices and labels has to be identical: with pytest.raises(ValueError) as e_info: ts.Events(t, time_unit=unit, labels=['trial', 'other'], indices=[i0]) # Only # one of # the # indices! # make sure the time is retained npt.assert_equal(ev1.time, t) npt.assert_equal(ev2.time, t) # make sure time unit is correct if unit is not None: npt.assert_equal(ev1.time_unit, unit) npt.assert_equal(ev2.time_unit, unit) else: npt.assert_equal(ev1.time_unit, t.time_unit) npt.assert_equal(ev2.time_unit, t.time_unit) # make sure we can extract data npt.assert_equal(ev1.data['i'], x) npt.assert_equal(ev1.data['j'], y) npt.assert_equal(ev1.data['k'], z) # make sure we can get the indices by label npt.assert_equal(ev3.index.trial, i0) npt.assert_equal(ev3.index.other, i1) # make sure we can get the indices by position npt.assert_equal(ev2.index.i0, i0) npt.assert_equal(ev2.index.i1, i1) #make sure slicing works #one_event = ts.Events(t[[0]],time_unit=unit,i=[x[0]],j=[y[0]],k=[z[0]]) #regular indexing npt.assert_equal(ev1[0].data['i'], x[0]) npt.assert_equal(ev1[0:2].data['i'], x[0:2]) # indexing w/ time npt.assert_equal(ev1[0.].data['i'], x[0]) # indexing w/ epoch ep = ts.Epochs(start=0, stop=1.5, time_unit='ms') npt.assert_equal(ev1[ep].data['i'], x[0]) # fancy indexing (w/ boolean mask) npt.assert_equal(ev1[ev3.index.trial == 0].data['j'], y[0:2]) # len() function is implemented and working assert len(t) == len(ev1) == len(ev2) == len(ev3) def test_Events_scalar(): t = ts.TimeArray(1, time_unit='ms') i, j = 4, 5 ev = ts.Events(t, i=i, j=j) # The semantics of scalar indexing into events are such that the returned # value is always a new Events object (the mental model is that of python # strings, where slicing OR scalar indexing still return the same thing, a # string again -- there are no 'string scalars', and there are no 'Event # scalars' either). npt.assert_equal(ev.data['i'][0], i) npt.assert_equal(ev.data['j'][0], j) def test_index_at_20101206(): """Test for incorrect handling of negative t0 for time.index_at https://github.com/nipy/nitime/issues#issue/35 bug reported by Jonathan Taylor on 2010-12-06 """ A = np.random.standard_normal(40) #negative t0 TS_A = ts.TimeSeries(A, t0=-20, sampling_interval=2) npt.assert_equal(TS_A.time.index_at(TS_A.time), np.arange(40)) #positive t0 TS_A = ts.TimeSeries(A, t0=15, sampling_interval=2) npt.assert_equal(TS_A.time.index_at(TS_A.time), np.arange(40)) #no t0 TS_A = ts.TimeSeries(A, sampling_interval=2) npt.assert_equal(TS_A.time.index_at(TS_A.time), np.arange(40)) def test_masked_array_timeseries(): # make sure masked arrays passed in stay as masked arrays masked = np.ma.masked_invalid([0,np.nan,2]) t = ts.TimeSeries(masked, sampling_interval=1) npt.assert_equal(t.data.mask, [False, True, False]) # make sure regular arrays passed don't become masked notmasked = np.array([0,np.nan,2]) t2 = ts.TimeSeries(notmasked, sampling_interval=1) with pytest.raises(AttributeError) as e_info: t2.data.__getattribute__('mask') def test_masked_array_events(): # make sure masked arrays passed in stay as masked arrays masked = np.ma.masked_invalid([0,np.nan,2]) e = ts.Events([1,2,3], d=masked) npt.assert_equal(e.data['d'].mask, [False, True, False]) # make sure regular arrays passed don't become masked notmasked = np.array([0,np.nan,2]) e2 = ts.Events([1,2,3], d=notmasked) with pytest.raises(AttributeError) as e_info: e2.data['d'].__getattribute__('mask') def test_event_subclass_slicing(): "Subclassing Events should preserve the subclass after slicing" class Events_with_X(ts.Events): "A class which shows as attributes all of the event data" def __getattr__(self,k): return self.data[k] pass time = np.linspace(0,10,11) x,y = np.sin(time),np.cos(time) e = Events_with_X(time, **dict(x=x,y=y)) npt.assert_equal(e.x, e.data['x']) npt.assert_equal(e.y, e.data['y']) slice_of_e = e[:4] slice_of_e.x # should not raise attribute error slice_of_e.y # should not raise attribute error npt.assert_equal(slice_of_e.x, x[:4]) npt.assert_equal(slice_of_e.y, y[:4]) assert(slice_of_e.__class__ == Events_with_X) def test_epochs_subclass_slicing(): "Subclassing Epochs should preserve the subclass after slicing" class Epochs_with_X(ts.Epochs): "An epoch class with extra 'stuff'" def total_duration(self): """Duration array for the epoch""" # XXX: bug in duration after slicing - attr_onread should be reset # after slicing #return self.duration.sum() return (self.stop - self.start).sum() time_0 = list(range(10)) e = Epochs_with_X(time_0, duration=.2) npt.assert_equal(e.total_duration(), ts.TimeArray(2.0)) slice_of_e = e[:5] npt.assert_equal(slice_of_e.total_duration(), ts.TimeArray(1.0)) assert(slice_of_e.__class__ == Epochs_with_X) def test_Epochs_duration_after_slicing(): "some attributes which get set on read should be reset after slicing" e = ts.Epochs(list(range(10)),duration=.1) npt.assert_equal(len(e.duration), len(e)) slice_of_e = e[:3] npt.assert_equal(len(slice_of_e.duration), len(slice_of_e)) def test_UniformTime_preserves_uniformity(): "Uniformity: allow ops which keep it, and deny those which break it" utime = ts.UniformTime(t0=0, length=10, sampling_rate=1) def assign_to_one_element_of(t): t[0]=42 with pytest.raises(ValueError) as e_info: assign_to_one_element_of(utime) # same as utime, but starting 10s later utime10 = ts.UniformTime(t0=10, length=10, sampling_rate=1) utime += 10 # constants treated as having same units as utime npt.assert_equal(utime,utime10) # same as utime, but with a lower sampling rate utime_2 = ts.UniformTime(t0=10, length=10, sampling_interval=2) utime += np.arange(10) # make utime match utime_2 npt.assert_equal(utime,utime_2) npt.assert_equal(utime.sampling_interval,utime_2.sampling_interval) utime = ts.UniformTime(t0=5, length=10, sampling_rate=1) utime *= 2 # alternative way to make utime match utime_2 npt.assert_equal(utime.sampling_interval,utime_2.sampling_interval) npt.assert_equal(utime.sampling_rate,utime_2.sampling_rate) nonuniform = np.concatenate((list(range(2)),list(range(3)), list(range(5)))) def iadd_nonuniform(t): t+=nonuniform with pytest.raises(ValueError) as e_info: iadd_nonuniform(utime) def test_index_int64(): "indexing with int64 should still return a valid TimeArray" a = list(range(10)) b = ts.TimeArray(a) assert b[0] == b[np.int64(0)] assert repr(b[0]) == repr(b[np.int64(0)]) assert b[0] == b[np.int32(0)] assert repr(b[0]) == repr(b[np.int32(0)]) def test_timearray_math_functions(): "Calling TimeArray.min() .max(), mean() should return TimeArrays" a = np.arange(2, 11) for f in ['min', 'max', 'mean', 'ptp', 'sum']: for tu in ['s', 'ms', 'ps', 'D']: b = ts.TimeArray(a, time_unit=tu) npt.assert_(getattr(b, f)().__class__ == ts.TimeArray) npt.assert_(getattr(b, f)().time_unit == b.time_unit) # comparison with unitless should convert to the TimeArray's units npt.assert_(getattr(b, f)() == getattr(a, f)()) def test_timearray_var_prod(): """ Variance and product change the TimeArray units, so they are not implemented and raise an error """ a = ts.TimeArray(list(range(10))) with pytest.raises(NotImplementedError) as e_info: a.var() with pytest.raises(NotImplementedError) as e_info: a.prod() nitime-rel-0.8.1/nitime/tests/test_utils.py000066400000000000000000000221741350450615100207730ustar00rootroot00000000000000import numpy as np import numpy.testing as npt from nitime import utils import nitime.algorithms as alg def test_zscore(): x = np.array([[1, 1, 3, 3], [4, 4, 6, 6]]) z = utils.zscore(x) npt.assert_equal(x.shape, z.shape) # Default axis is -1 npt.assert_equal(utils.zscore(x), np.array([[-1., -1., 1., 1.], [-1., -1., 1., 1.]])) # Test other axis: npt.assert_equal(utils.zscore(x, 0), np.array([[-1., -1., -1., -1.], [1., 1., 1., 1.]])) def test_percent_change(): x = np.array([[99, 100, 101], [4, 5, 6]]) p = utils.percent_change(x) npt.assert_equal(x.shape, p.shape) npt.assert_almost_equal(p[0, 2], 1.0) ts = np.arange(4 * 5).reshape(4, 5) ax = 0 npt.assert_almost_equal(utils.percent_change(ts, ax), np.array( [[-100., -88.23529412, -78.94736842, -71.42857143, -65.2173913], [-33.33333333, -29.41176471, -26.31578947, -23.80952381, -21.73913043], [33.33333333, 29.41176471, 26.31578947, 23.80952381, 21.73913043], [100., 88.23529412, 78.94736842, 71.42857143, 65.2173913]])) ax = 1 npt.assert_almost_equal(utils.percent_change(ts, ax), np.array( [[-100., -50., 0., 50., 100.], [-28.57142857, -14.28571429, 0., 14.28571429, 28.57142857], [-16.66666667, -8.33333333, 0., 8.33333333, 16.66666667], [-11.76470588, -5.88235294, 0., 5.88235294, 11.76470588]])) def test_tridi_inverse_iteration(): import scipy.linalg as la from scipy.sparse import spdiags # set up a spectral concentration eigenvalue problem for testing N = 2000 NW = 4 K = 8 W = float(NW) / N nidx = np.arange(N, dtype='d') ab = np.zeros((2, N), 'd') # store this separately for tridisolve later sup_diag = np.zeros((N,), 'd') sup_diag[:-1] = nidx[1:] * (N - nidx[1:]) / 2. ab[0, 1:] = sup_diag[:-1] ab[1] = ((N - 1 - 2 * nidx) / 2.) ** 2 * np.cos(2 * np.pi * W) # only calculate the highest Kmax-1 eigenvalues w = la.eigvals_banded(ab, select='i', select_range=(N - K, N - 1)) w = w[::-1] E = np.zeros((K, N), 'd') t = np.linspace(0, np.pi, N) # make sparse tridiagonal matrix for eigenvector check sp_data = np.zeros((3,N), 'd') sp_data[0, :-1] = sup_diag[:-1] sp_data[1] = ab[1] sp_data[2, 1:] = sup_diag[:-1] A = spdiags(sp_data, [-1, 0, 1], N, N) E = np.zeros((K,N), 'd') for j in range(K): e = utils.tridi_inverse_iteration( ab[1], sup_diag, w[j], x0=np.sin((j+1)*t) ) b = A*e npt.assert_( np.linalg.norm(np.abs(b) - np.abs(w[j]*e)) < 1e-8, 'Inverse iteration eigenvector solution is inconsistent with '\ 'given eigenvalue' ) E[j] = e # also test orthonormality of the eigenvectors ident = np.dot(E, E.T) npt.assert_almost_equal(ident, np.eye(K)) def test_debias(): x = np.arange(64).reshape(4, 4, 4) x0 = utils.remove_bias(x, axis=1) npt.assert_equal((x0.mean(axis=1) == 0).all(), True) def ref_crosscov(x, y, all_lags=True): "Computes sxy[k] = E{x[n]*y[n+k]}" x = utils.remove_bias(x, 0) y = utils.remove_bias(y, 0) lx, ly = len(x), len(y) pad_len = lx + ly - 1 sxy = np.correlate(x, y, mode='full') / lx if all_lags: return sxy c_idx = pad_len // 2 return sxy[c_idx:] def test_crosscov(): N = 128 ar_seq1, _, _ = utils.ar_generator(N=N) ar_seq2, _, _ = utils.ar_generator(N=N) for all_lags in (True, False): sxy = utils.crosscov(ar_seq1, ar_seq2, all_lags=all_lags) sxy_ref = ref_crosscov(ar_seq1, ar_seq2, all_lags=all_lags) err = sxy_ref - sxy mse = np.dot(err, err) / N npt.assert_(mse < 1e-12, \ 'Large mean square error w.r.t. reference cross covariance') def test_autocorr(): N = 128 ar_seq, _, _ = utils.ar_generator(N=N) rxx = utils.autocorr(ar_seq) npt.assert_(rxx[0] == rxx.max(), \ 'Zero lag autocorrelation is not maximum autocorrelation') rxx = utils.autocorr(ar_seq, all_lags=True) npt.assert_(rxx[127] == rxx.max(), \ 'Zero lag autocorrelation is not maximum autocorrelation') def test_information_criteria(): """ Test the implementation of information criteria: """ a1 = np.array([[0.9, 0], [0.16, 0.8]]) a2 = np.array([[-0.5, 0], [-0.2, -0.5]]) am = np.array([-a1, -a2]) x_var = 1 y_var = 0.7 xy_cov = 0.4 cov = np.array([[x_var, xy_cov], [xy_cov, y_var]]) #Number of realizations of the process N = 500 #Length of each realization: L = 1024 order = am.shape[0] n_process = am.shape[-1] z = np.empty((N, n_process, L)) nz = np.empty((N, n_process, L)) for i in range(N): z[i], nz[i] = utils.generate_mar(am, cov, L) AIC = [] BIC = [] AICc = [] # The total number data points available for estimation: Ntotal = L * n_process for n_lags in range(1, 10): Rxx = np.empty((N, n_process, n_process, n_lags)) for i in range(N): Rxx[i] = utils.autocov_vector(z[i], nlags=n_lags) Rxx = Rxx.mean(axis=0) Rxx = Rxx.transpose(2, 0, 1) a, ecov = alg.lwr_recursion(Rxx) IC = utils.akaike_information_criterion(ecov, n_process, n_lags, Ntotal) AIC.append(IC) IC = utils.akaike_information_criterion(ecov, n_process, n_lags, Ntotal, corrected=True) AICc.append(IC) IC = utils.bayesian_information_criterion(ecov, n_process, n_lags, Ntotal) BIC.append(IC) # The model has order 2, so this should minimize on 2: # We do not test this for AIC/AICc, because these sometimes do not minimize # (see Ding and Bressler) npt.assert_equal(np.argmin(BIC), 2) def test_multi_intersect(): """ Testing the multi-intersect utility function """ arr1 = np.array(np.arange(1000).reshape(2,500)) arr2 = np.array([[1,0.1,0.2],[0.3,0.4, 0.5]]) arr3 = np.array(1) npt.assert_equal(1, utils.multi_intersect([arr1, arr2, arr3])) def test_zero_pad(): """ Test the zero_pad function """ # Freely assume that time is the last dimension: ts1 = np.empty((64, 64, 35, 32)) NFFT = 64 zp1 = utils.zero_pad(ts1, NFFT) npt.assert_equal(zp1.shape[-1], NFFT) # Try this with something with only 1 dimension: ts2 = np.empty(64) zp2 = utils.zero_pad(ts2, NFFT) npt.assert_equal(zp2.shape[-1], NFFT) def test_detect_lines(): """ Tests detect_lines utility in the reliable low-SNR scenario. """ N = 1000 fft_pow = int( np.ceil(np.log2(N) + 2) ) NW = 4 lines = np.sort(np.random.randint(100, 2**(fft_pow-4), size=(3,))) while np.any( np.diff(lines) < 2*NW ): lines = np.sort(np.random.randint(2**(fft_pow-4), size=(3,))) lines = lines.astype('d') #lines += np.random.randn(3) # displace from grid locations lines /= 2.0**(fft_pow-2) # ensure they are well separated phs = np.random.rand(3) * 2 * np.pi # amps approximately such that RMS power = 1 +/- N(0,1) amps = np.sqrt(2)/2 + np.abs( np.random.randn(3) ) nz_sig = 0.05 tx = np.arange(N) harmonics = amps[:,None]*np.cos( 2*np.pi*tx*lines[:,None] + phs[:,None] ) harmonic = np.sum(harmonics, axis=0) nz = np.random.randn(N) * nz_sig sig = harmonic + nz f, b = utils.detect_lines(sig, (NW, 2*NW), low_bias=True, NFFT=2**fft_pow) h_est = 2*(b[:,None]*np.exp(2j*np.pi*tx*f[:,None])).real npt.assert_( len(f) == 3, 'The wrong number of harmonic components were detected' ) err = harmonic - np.sum(h_est, axis=0) phs_est = np.angle(b) phs_est[phs_est < 0] += 2*np.pi phs_err = np.linalg.norm(phs_est - phs)**2 amp_err = np.linalg.norm(amps - 2*np.abs(b))**2 / np.linalg.norm(amps)**2 freq_err = np.linalg.norm(lines - f)**2 # FFT bin detections should be exact npt.assert_equal(lines, f) # amplitude estimation should be pretty good npt.assert_(amp_err < 1e-4, 'Harmonic amplitude was poorly estimated') # phase estimation should be decent npt.assert_(phs_err < 1e-3, 'Harmonic phase was poorly estimated') # the error relative to the noise power should be below 1 rel_mse = np.mean(err**2)/nz_sig**2 npt.assert_( rel_mse < 1, 'The error in detected harmonic components is too high relative to '\ 'the noise level: %1.2e'%rel_mse ) def test_detect_lines_2dmode(): """ Test multi-sequence operation """ N = 1000 sig = np.cos( 2*np.pi*np.arange(N) * 20./N ) + np.random.randn(N) * .01 sig2d = np.row_stack( (sig, sig, sig) ) lines = utils.detect_lines(sig2d, (4, 8), low_bias=True, NFFT=2**12) npt.assert_(len(lines)==3, 'Detect lines failed multi-sequence mode') consistent1 = (lines[0][0] == lines[1][0]).all() and \ (lines[1][0] == lines[2][0]).all() consistent2 = (lines[0][1] == lines[1][1]).all() and \ (lines[1][1] == lines[2][1]).all() npt.assert_(consistent1 and consistent2, 'Inconsistent results') nitime-rel-0.8.1/nitime/tests/test_viz.py000066400000000000000000000024521350450615100204400ustar00rootroot00000000000000""" Smoke testing of the viz module. """ import numpy as np import numpy.testing as npt import pytest from nitime.timeseries import TimeSeries from nitime.analysis import CorrelationAnalyzer from nitime.viz import drawmatrix_channels, drawgraph_channels, plot_xcorr try: import networkx no_networkx = False no_networkx_msg = '' except ImportError as e: no_networkx = True no_networkx_msg = e.args[0] import os is_ci = "CI" in os.environ roi_names = ['a','b','c','d','e','f','g','h','i','j'] data = np.random.rand(10,1024) T = TimeSeries(data, sampling_interval=np.pi) T.metadata['roi'] = roi_names #Initialize the correlation analyzer C = CorrelationAnalyzer(T) @pytest.mark.skipif(is_ci, reason="Running on a CI server") def test_drawmatrix_channels(): fig01 = drawmatrix_channels(C.corrcoef, roi_names, size=[10., 10.], color_anchor=0) @pytest.mark.skipif(is_ci, reason="Running on a CI server") def test_plot_xcorr(): xc = C.xcorr_norm fig02 = plot_xcorr(xc, ((0, 1), (2, 3)), line_labels=['a', 'b']) @pytest.mark.skipif(is_ci, reason="Running on a CI server") @pytest.mark.skipif(no_networkx, reason=no_networkx_msg) def test_drawgraph_channels(): fig04 = drawgraph_channels(C.corrcoef, roi_names) nitime-rel-0.8.1/nitime/tests/tseries12.txt000066400000000000000000000226021350450615100206000ustar00rootroot00000000000000 8.9429666e+00 5.0100717e+00 -2.6816087e+00 -7.1501559e+00 -8.0216237e+00 -8.4308386e+00 -8.7813313e+00 -7.1541340e+00 -3.1692794e+00 -3.1233587e-02 -8.6932796e-01 -3.2208590e+00 -2.7708292e+00 -1.1180497e+00 -1.1642218e+00 8.2827157e-01 7.7567196e+00 1.3427191e+01 1.2297869e+01 7.9463857e+00 4.3650450e+00 7.4513721e-01 -1.8071566e+00 -1.0494220e+00 2.7099914e-01 -6.0612992e-03 1.0650746e+00 2.7359840e+00 -2.3103312e-01 -5.4394070e+00 -5.6020012e+00 -2.8549610e+00 -3.9441985e+00 -6.5248611e+00 -5.5182498e+00 -3.5707725e+00 -3.3029199e+00 -1.4821612e+00 1.9829637e+00 2.9371484e+00 2.4922181e+00 4.6520641e+00 7.6516172e+00 7.9849900e+00 6.2872303e+00 3.0524810e+00 -2.6249618e+00 -8.4729269e+00 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7.1039609e+00 5.4811765e+00 nitime-rel-0.8.1/nitime/timeseries.py000066400000000000000000001650361350450615100176100ustar00rootroot00000000000000"""Base classes for generic time series analysis. The classes implemented here are meant to provide fairly basic objects for managing time series data. They should serve mainly as data containers, with only minimal algorithmic functionality. In the timeseries subpackage, there is a separate library of algorithms, and the classes defined here mostly delegate any computational facilities they may have to that library. Over time, it is OK to add increasingly functionally rich classes, but only after their design is well proven in real-world use. """ #----------------------------------------------------------------------------- # Public interface #----------------------------------------------------------------------------- __all__ = ['time_unit_conversion', 'TimeSeriesInterface', 'TimeSeries', 'TimeInterface', 'UniformTime', 'TimeArray', 'Epochs', 'Events' ] #----------------------------------------------------------------------------- # Imports #----------------------------------------------------------------------------- import numpy as np # Our own from nitime import descriptors as desc import nitime.six as six #----------------------------------------------------------------------------- # Module globals #----------------------------------------------------------------------------- # These are the valid names for time units, taken from the Numpy date/time # types specification document. They conform to SI nomenclature where # applicable. # Most uses of this are membership checks, so we make a set for fast # validation. But we create them first as a list so we can print an ordered # and easy to read error message. time_unit_conversion = { 'ps': 1, # picosecond 'ns': 10 ** 3, # nanosecond 'us': 10 ** 6, # microsecond 'ms': 10 ** 9, # millisecond 's': 10 ** 12, # second None: 10 ** 12, # The default is seconds (when # constructor doesn't get any # input, it defaults to None) 'm': 60 * 10 ** 12, # minute 'h': 3600 * 10 ** 12, # hour 'D': 24 * 3600 * 10 ** 12, # day 'W': 7 * 24 * 3600 * 10 ** 12, # week # (not an SI unit) } # The basic resolution: base_unit = 'ps' #----------------------------------------------------------------------------- # Class declarations #----------------------------------------------------------------------------- # Time: class TimeInterface(object): """ The minimal object interface for time representations This should be thought of as an abstract base class. """ time_unit = None def get_time_unit(obj): """ Extract the time unit of the object. If it is an iterable, get the time unit of the first element. """ # If this is a Time object, no problem: if isinstance(obj, TimeInterface): return obj.time_unit # Otherwise, if it is iterable, we recurse on it: try: it = iter(obj) except TypeError: return None else: return get_time_unit(six.advance_iterator(it)) class TimeArray(np.ndarray, TimeInterface): """Base-class for time representations, implementing the TimeInterface""" def __new__(cls, data, time_unit=None, copy=True): """ Parameters ---------- data : 1-d array or `TimeArray` class instance Time points time_unit : str, optional The time-unit to use. This should be one of the keys of the `time_unit_conversion` dict from the :mod:`timeseries` module, which are SI units of time. Default: 's' copy : bool, optional Whether to create this instance by copy of a Note ---- If the 'copy' input is set to False, input must be either a `TimeArray` class instance, or an int64 array in the base unit of the module (which, unless you change it, is picoseconds) """ # Check that the time units provided are sensible: if time_unit not in time_unit_conversion: raise ValueError('Invalid time unit %s, must be one of %s' % (time_unit, time_unit_conversion.keys())) # Get the conversion factor from the input: conv_fac = time_unit_conversion[time_unit] # Call get_time_unit to pull the time_unit out from inside: data_time_unit = get_time_unit(data) # If it has a time unit, you should not convert the values to # base_unit, because they are already in that: if data_time_unit is not None: conv_fac = 1 # We check whether the data has a time-unit somewhere inside (for # example, if it is a list of TimeArray objects): if time_unit is None: time_unit = data_time_unit # We can only honor the copy flag in a very narrow set of cases # if data is already a TimeArray or if data is an ndarray with # dtype=int64 if copy == False: if not getattr(data, 'dtype', None) == np.int64: e_s = 'When copy flag is set to False, must provide a' e_s += 'TimeArray in object, or int64 times, in %s' % base_unit raise ValueError(e_s) time = np.array(data, copy=False) else: if isinstance(data, TimeInterface): time = data.copy() else: data_arr = np.asarray(data) if issubclass(data_arr.dtype.type, np.integer): # If this is an array of integers, cast to 64 bit integer # and convert to the base_unit. #XXX This will fail when even 64 bit is not large enough to # avoid wrap-around (When you try to make more than 10**6 # seconds). XXX this should be mentioned in the docstring time = data_arr.astype(np.int64) * conv_fac else: # Otherwise: first convert, round and then cast to 64 time = (data_arr * conv_fac).round().astype(np.int64) # Make sure you have an array on your hands (for example, if you input # an integer, you might have reverted to an integer when multiplying # with the conversion factor: time = np.asarray(time).view(cls) # Make sure time is one-dimensional or 0-d if time.ndim > 1: raise ValueError('TimeArray can only be one-dimensional or 0-d') if time_unit is None: time_unit = 's' time.time_unit = time_unit time._conversion_factor = time_unit_conversion[time_unit] return time def __array_wrap__(self, out_arr, context=None): # When doing comparisons between TimeArrays, make sure that you return # a boolean array, not a time array: if out_arr.dtype == bool: return np.asarray(out_arr) else: return np.ndarray.__array_wrap__(self, out_arr, context) def __array_finalize__(self, obj): """XXX """ # Make sure that the TimeArray has the time units set (and not equal to # None): if not hasattr(self, 'time_unit') or self.time_unit is None: if hasattr(obj, 'time_unit'): # looks like view cast self.time_unit = obj.time_unit else: self.time_unit = 's' # Make sure that the conversion factor is set properly: if not hasattr(self, '_conversion_factor'): if hasattr(obj, '_conversion_factor'): self._conversion_factor = obj._conversion_factor else: self._conversion_factor = time_unit_conversion[self.time_unit] def __repr__(self): """Pass it through the conversion factor""" # If the input is a single int/float (with no shape) return a 'scalar' # time-point: if self.shape == (): return "%r %s" % (int(self) / float(self._conversion_factor), self.time_unit) # Otherwise, return the TimeArray representation: else: return np.ndarray.__repr__(self / float(self._conversion_factor) )[:-1] + ", time_unit='%s')" % self.time_unit def __str__(self): """Return a nice string representation of this TimeArray""" return self.__repr__() def __getitem__(self, key): # return scalar TimeArray in case key is integer if isinstance(key, (int, np.int64, np.int32)): return self[[key]].reshape(()) elif isinstance(key, float): return self.at(key) elif isinstance(key, Epochs): return self.during(key) else: return np.ndarray.__getitem__(self, key) def __setitem__(self, key, val): # look at the units - convert the values to what they need to be (in # the base_unit) and then delegate to the ndarray.__setitem__ if not hasattr(val, '_conversion_factor'): val *= self._conversion_factor return np.ndarray.__setitem__(self, key, val) def _convert_if_needed(self,val): if not hasattr(val, '_conversion_factor'): val = np.asarray(val) if getattr(val, 'dtype', None) == np.int32: # we'll overflow if val's dtype is np.int32 val = np.array(val, dtype=np.int64) val *= self._conversion_factor return val def __add__(self, val): val = self._convert_if_needed(val) return np.ndarray.__add__(self, val) def __sub__(self, val): val = self._convert_if_needed(val) return np.ndarray.__sub__(self, val) def __radd__(self, val): val = self._convert_if_needed(val) return np.ndarray.__radd__(self, val) def __rsub__(self, val): val = self._convert_if_needed(val) return np.ndarray.__rsub__(self, val) def __lt__(self, val): val = self._convert_if_needed(val) return np.ndarray.__lt__(self, val) def __gt__(self, val): val = self._convert_if_needed(val) return np.ndarray.__gt__(self, val) def __le__(self, val): val = self._convert_if_needed(val) return np.ndarray.__le__(self, val) def __ge__(self, val): val = self._convert_if_needed(val) return np.ndarray.__ge__(self,val) def __eq__(self, val): val = self._convert_if_needed(val) return np.ndarray.__eq__(self,val) def min(self, *args, **kwargs): ret = TimeArray(np.ndarray.min(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def max(self, *args,**kwargs): ret = TimeArray(np.ndarray.max(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def mean(self, *args, **kwargs): ret = TimeArray(np.ndarray.mean(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def ptp(self, *args, **kwargs): ret = TimeArray(np.ndarray.ptp(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def sum(self, *args,**kwargs): ret = TimeArray(np.ndarray.sum(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def prod(self, *args, **kwargs): e_s = "Product computation changes TimeArray units" raise NotImplementedError(e_s) def var(self, *args, **kwargs): e_s = "Variance computation changes TimeArray units" raise NotImplementedError(e_s) def std(self, *args, **kwargs): """Returns the standard deviation of this TimeArray (with time units) for detailed information, see numpy.std() """ ret = TimeArray(np.ndarray.std(self, *args, **kwargs), time_unit=base_unit) ret.convert_unit(self.time_unit) return ret def index_at(self, t, tol=None, mode='closest'): """ Returns the integer indices that corresponds to the time t The returned indices depend on both `tol` and `mode`. The `tol` parameter specifies how close the given time must be to those present in the array to give a match, when `mode` is `closest`. The default tolerance is 1 `base_unit` (by default, picoseconds). If you specify the tolerance as 0, then only *exact* matches are allowed, be careful in this case of possible problems due to floating point roundoff error in your time specification. When mode is `before` or `after`, the tolerance is completely ignored. In this case, either the largest time equal or *before* the given `t` or the earliest time equal or *after* the given `t` is returned. Parameters ---------- t : time-like Anything that is valid input for a TimeArray constructor. tol : time-like, optional Tolerance, specified in the time units of this TimeArray. mode : string One of ['closest', 'before', 'after']. Returns ------- idx : The array with all the indices where the condition is met. """ if not np.iterable(t): t = [t] t_e = TimeArray(t, time_unit=self.time_unit) if mode == 'closest': return self._index_closest(t_e, tol) elif mode == 'before': return self._index_before(t_e) elif mode == 'after': return self._index_after(t_e) else: raise ValueError('Invalid mode specification') def _index_closest(self, t, tol=None): d = np.abs(self - t) if tol is None: # If no tolerance is specified, use one clock tick of the # base_unit: tol = clock_tick # tolerance is converted into a time-array, so that it does the # right thing: ttol = TimeArray(tol, time_unit=self.time_unit) return np.where(d <= ttol)[0] def _index_before(self, t): # Use the standard Decorate-Sort-Undecorate (Schwartzian transform) # pattern to find the right index. cond = np.where(self <= t)[0] if len(cond) == 0: return cond idx_max = self[cond].argmax() return cond[idx_max] def _index_after(self, t): cond = np.where(t <= self)[0] if len(cond) == 0: return cond idx_min = self[cond].argmin() return cond[idx_min] def slice_during(self, e): """ Returns the slice that corresponds to Epoch e""" if not isinstance(e, Epochs): raise ValueError('e has to be of Epochs type') if e.data.ndim > 0: raise NotImplementedError('e has to be a scalar Epoch') if self.ndim != 1: e_s = 'slicing only implemented for 1-d TimeArrays' return NotImplementedError(e_s) # These two should be called with modes, such that they catch the right # slice start = self.index_at(e.start, mode='after') stop = self.index_at(e.stop, mode='before') # If *either* the start or stop index object comes back as the empty # array, then it means the condition is not satisfied, we return the # slice that does [:0], i.e., always slices to nothing. if start.shape == (0,) or stop.shape == (0,): return slice(0) # Now, we know the start/stop are not empty arrays, but they can be # either scalars or arrays. i_start = start if np.isscalar(start) else start.max() i_stop = stop if np.isscalar(stop) else stop.min() if e.start > self[i_start]: # make sure self[i_start] is in epoch e i_start += 1 if e.stop > self[i_stop]: # make sure to include self[i_stop] i_stop += 1 return slice(i_start, i_stop) def at(self, t, tol=None): """ Returns the values of the TimeArray object at time t""" return self[self.index_at(t, tol=tol)] def during(self, e): """ Returns the values of the TimeArray object during Epoch e""" if not isinstance(e, Epochs): raise ValueError('e has to be of Epochs type') if e.data.ndim > 0: ## TODO: Implement slicing with 1-d Epochs array, ## resulting in (ragged/jagged) 2-d TimeArray raise NotImplementedError('e has to be a scalar Epoch') return self[self.slice_during(e)] ## def min(self,axis=None,out=None): ## """Returns the minimal time""" ## # this is a quick fix to return a time and will ## # be obsolete once we use proper time dtypes ## if axis is not None: ## raise NotImplementedError, 'axis argument not implemented' ## if out is not None: ## raise NotImplementedError, 'out argument not implemented' ## if self.ndim: ## return self[self.argmin()] ## else: ## return self def max(self, axis=None, out=None): """Returns the maximal time""" # this is a quick fix to return a time and will # be obsolete once we use proper time dtypes if axis is not None: raise NotImplementedError('axis argument not implemented') if out is not None: raise NotImplementedError('out argument not implemented') if self.ndim: return self[self.argmax()] else: return self def convert_unit(self, time_unit): """Convert from one time unit to another in place""" self.time_unit = time_unit self._conversion_factor = time_unit_conversion[time_unit] def __div__(self, d): """Division by another time object eliminates units """ if isinstance(d, TimeInterface): return np.divide(np.array(self), np.array(d).astype(float)) else: return np.divide(self, d) __truediv__ = __div__ # called by python3 # Globally define a single tick of the base unit: clock_tick = TimeArray(1, time_unit=base_unit) class UniformTime(np.ndarray, TimeInterface): """ A representation of time sampled uniformly """ def __new__(cls, data=None, length=None, duration=None, sampling_rate=None, sampling_interval=None, t0=0, time_unit=None): """ Parameters ---------- length : int The number of items in the time-array duration : float, the duration to be represented (given in the time-unit) of the array. If this item is an TimeArray, the units of the UniformTime array resulting will 'inherit' the units of the duration. Otherwise, the unit of the UniformTime will be set by that kwarg sampling_rate : float The sampling rate (in Hz) sampling_interval : float The inverse of the sampling_interval t0 : float, int or singleton `TimeArray` The value of the first time-point in the array (unless given as a `TimeArray`, should be in the time-unit) time_unit : str, optional The time unit to be used in the representation of time """ # Sanity checks. There are different valid combinations of inputs tspec = tuple(x is not None for x in [sampling_interval, sampling_rate, length, duration]) # Used in converting tspecs to human readable form tspec_arg_names = ['sampling_interval', 'sampling_rate', 'length', 'duration'] # The valid configurations valid_tspecs = [ # interval, length: (True, False, True, False), # interval, duration: (True, False, False, True), # rate, length: (False, True, True, False), # rate, duration: (False, True, False, True), # length, duration: (False, False, True, True) ] if isinstance(data, UniformTime): # Assuming data was given, some other tspecs become valid: tspecs_w_data = dict( nothing=(False, False, False, False), sampling_interval=(True, False, False, False), sampling_rate=(False, True, False, False), length=(False, False, True, False), duration=(False, False, False, True)) # preserve the order of the keys valid_tspecs.append(tspecs_w_data['nothing']) for name in tspec_arg_names: valid_tspecs.append(tspecs_w_data[name]) if (tspec not in valid_tspecs): # l = ['sampling_interval', 'sampling_rate', 'length', 'duration'] # args = [arg for t,arg in zip(tspec,l) if t] raise ValueError("Invalid time specification.\n" + "You provided: %s \n" "%s \nsee docstring for more info." % (str_tspec(tspec, tspec_arg_names), str_valid_tspecs(valid_tspecs, tspec_arg_names))) if isinstance(data, UniformTime): # Get attributes from the UniformTime object and transfer those # over: if tspec == tspecs_w_data['nothing']: sampling_rate = data.sampling_rate duration = data.duration elif tspec == tspecs_w_data['sampling_interval']: duration == data.duration elif tspec == tspecs_w_data['sampling_rate']: if isinstance(sampling_rate, Frequency): sampling_interval = sampling_rate.to_period() else: sampling_interval = 1.0 / sampling_rate duration = data.duration elif tspec == tspecs_w_data['length']: duration = length * data.sampling_interval sampling_rate = data.sampling_rate elif tspec == tspecs_w_data['duration']: sampling_rate = data.sampling_rate if time_unit is None: # If the user didn't ask to change the time-unit, use the # time-unit from the object you got: time_unit = data.time_unit # Check that the time units provided are sensible: if time_unit not in time_unit_conversion: raise ValueError('Invalid time unit %s, must be one of %s' % (time_unit, time_unit_conversion.keys())) # Make sure you have a time unit: if time_unit is None: #If you gave us a duration with time_unit attached if isinstance(duration, TimeInterface): time_unit = duration.time_unit #Otherwise, you might have given us a sampling_interval with a #time_unit attached: elif isinstance(sampling_interval, TimeInterface): time_unit = sampling_interval.time_unit else: time_unit = 's' # Calculate the sampling_interval or sampling_rate: if sampling_interval is None: if isinstance(sampling_rate, Frequency): c_f = time_unit_conversion[time_unit] sampling_interval = sampling_rate.to_period() / float(c_f) elif sampling_rate is None: sampling_interval = float(duration) / length sampling_rate = Frequency(1.0 / sampling_interval, time_unit=time_unit) else: c_f = time_unit_conversion[time_unit] sampling_rate = Frequency(sampling_rate, time_unit='s') sampling_interval = sampling_rate.to_period() / float(c_f) else: if isinstance(sampling_interval, TimeInterface): c_f = time_unit_conversion[sampling_interval.time_unit] sampling_rate = Frequency(1.0 / (float(sampling_interval) / c_f), time_unit=sampling_interval.time_unit) else: sampling_rate = Frequency(1.0 / sampling_interval, time_unit=time_unit) # Calculate the duration, if that is not defined: if duration is None: duration = length * sampling_interval # 'cast' the time inputs as TimeArray duration = TimeArray(duration, time_unit=time_unit) #XXX If data is given - the t0 should be taken from there: t0 = TimeArray(t0, time_unit=time_unit) sampling_interval = TimeArray(sampling_interval, time_unit=time_unit) # in order for time[-1]-time[0]==duration to be true (which it should) # add the sampling_interval to the stop value: # time = np.arange(np.int64(t0), # np.int64(t0+duration+sampling_interval), # np.int64(sampling_interval),dtype=np.int64) # But it's unclear whether that's really the behavior we want? time = np.arange(np.int64(t0), np.int64(t0 + duration), np.int64(sampling_interval), dtype=np.int64) time = np.asarray(time).view(cls) time.time_unit = time_unit time._conversion_factor = time_unit_conversion[time_unit] time.duration = duration time.sampling_rate = Frequency(sampling_rate) time.sampling_interval = sampling_interval time.t0 = t0 return time def __array_wrap__(self, out_arr, context=None): # When doing comparisons between UniformTime, make sure that you return # a boolean array, not a time array: if out_arr.dtype == bool: return np.asarray(out_arr) else: return np.ndarray.__array_wrap__(self, out_arr, context) def __array_finalize__(self, obj): """XXX """ # Make sure that the UniformTime has the time units set (and not equal # to None): if not hasattr(self, 'time_unit') or self.time_unit is None: if hasattr(obj, 'time_unit'): # looks like view cast self.time_unit = obj.time_unit else: self.time_unit = 's' # Make sure that the conversion factor is set properly: if not hasattr(self, '_conversion_factor'): if hasattr(obj, '_conversion_factor'): self._conversion_factor = obj._conversion_factor else: self._conversion_factor = time_unit_conversion[self.time_unit] # Make sure that t0 attribute is set properly: for attr in ['t0', 'sampling_rate', 'sampling_interval', 'duration']: if not hasattr(self, attr) and hasattr(obj, attr): setattr(self, attr, getattr(obj, attr)) def __repr__(self): """Pass it through the conversion factor""" #If the input is a single int/float (with no shape) return a 'scalar' #time-point: if self.shape == (): return "%r %s" % (int(self) / float(self._conversion_factor), self.time_unit) #Otherwise, return the UniformTime representation: else: return np.ndarray.__repr__(self / float(self._conversion_factor) )[:-1] + ", time_unit='%s')" % self.time_unit def __getitem__(self, key): # return scalar TimeArray in case key is integer if isinstance(key, (int, np.int64, np.int32)): return self[[key]].reshape(()).view(TimeArray) elif isinstance(key, float) or isinstance(key, TimeInterface): return self.at(key) elif isinstance(key, Epochs): return self.during(key) else: return np.ndarray.__getitem__(self, key) def __setitem__(self, key, val): raise ValueError("""Setting of individual indices would break uniformity: You can either use += on the full array, OR create a new TimeArray from this UniformTime""") def _convert_and_check_uniformity(self, val): # look at the units - convert the values to what they need to be (in # the base_unit) and then delegate to the ndarray.__iadd__ if not hasattr(val, '_conversion_factor'): val = np.asarray(val) if getattr(val, 'dtype', None) == np.int32: # we'll overflow if val's dtype is np.int32 val = np.array(val, dtype=np.int64) val *= self._conversion_factor if hasattr(val, 'ndim') and val.ndim == 1: # we have to check that adding this will preserve uniformity dv = np.diff(val) uniformity_breaks, = np.where(dv!=dv[0]) if len(uniformity_breaks) != 0: raise ValueError( """All elements in the operand array must have a constant interval between them in order to preserve uniformity. Uniformity is broken at these indices: %s """ %str(uniformity_breaks)) self.sampling_interval += dv[0] self.sampling_rate = Frequency(1.0 / (float(self.sampling_interval) / time_unit_conversion[self.time_unit]), time_unit=self.time_unit) return val def __iadd__(self, val): val = self._convert_and_check_uniformity(val) return np.ndarray.__iadd__(self, val) def __isub__(self, val): val = self._convert_and_check_uniformity(val) return np.ndarray.__isub__(self, val) def __imul__(self, val): np.ndarray.__imul__(self, val) self.sampling_interval *= val self.sampling_rate = Frequency(self.sampling_rate / val) return self def __idiv__(self, val): np.ndarray.__idiv__(self, val) self.sampling_interval /= val self.sampling_rate = Frequency(self.sampling_rate * val) return self __itruediv__ = __idiv__ # for py3k def index_at(self, t, boolean=False): """Find the index that corresponds to the time bin containing t Returns boolean mask if boolean=True and integer indices otherwise. """ # cast t into time ta = TimeArray(t, time_unit=self.time_unit) # check that index is within range if ta.min() < self.t0 or ta.max() >= self.t0 + self.duration: raise ValueError('index out of range') idx = (ta - self.t0) // self.sampling_interval if boolean: bool_idx = np.zeros(len(self), dtype=bool) bool_idx[idx] = True return bool_idx elif ta.ndim == 0: return idx[()] else: return idx.view(np.ndarray) def slice_during(self, e): """ Returns the slice that corresponds to Epoch e""" if not isinstance(e, Epochs): raise ValueError('e has to be of Epochs type') if e.data.ndim > 0: raise NotImplementedError('e has to be a scalar Epoch') if self.ndim != 1: e_s = 'slicing only implemented for 1-d TimeArrays' return NotImplementedError(e_s) i_start = self.index_at(e.start) i_stop = self.index_at(e.stop) if e.start > self[i_start]: # make sure self[i_start] is in epoch e i_start += 1 if e.stop > self[i_stop]: # make sure to include self[i_stop] i_stop += 1 return slice(i_start, i_stop) def at(self, t): """ Returns the values of the UniformTime object at time t""" return TimeArray(self[self.index_at(t)], time_unit=self.time_unit) def during(self, e): """ Returns the values of the UniformTime object during Epoch e""" if not isinstance(e, Epochs): raise ValueError('e has to be of Epochs type') if e.data.ndim > 0: raise NotImplementedError('e has to be a scalar Epoch') return self[self.slice_during(e)] def min(self, axis=None, out=None): """Returns the minimal time""" # this is a quick fix to return a time and will # be obsolete once we use proper time dtypes if axis is not None: raise NotImplementedError('axis argument not implemented') if out is not None: raise NotImplementedError('out argument not implemented') if self.ndim: return self[self.argmin()] else: return self def max(self, axis=None, out=None): """Returns the maximal time""" # this is a quick fix to return a time and will # be obsolete once we use proper time dtypes if axis is not None: raise NotImplementedError('axis argument not implemented') if out is not None: raise NotImplementedError('out argument not implemented') if self.ndim: return self[self.argmax()] else: return self def __div__(self, d): """Division by another time object eliminates units """ if isinstance(d, TimeInterface): return np.divide(np.array(self), np.array(d).astype(float)) else: return np.divide(self, d) __truediv__ = __div__ # for py3k ##Frequency: class Frequency(float): """A class for representation of the frequency (in Hz) """ def __new__(cls, f, time_unit='s'): """Initialize a frequency object """ tuc = time_unit_conversion scale_factor = (float(tuc['s']) / tuc[time_unit]) #If the input is a Frequency object, it is already in Hz: if isinstance(f, Frequency) == False: #But otherwise convert to Hz: f = f * scale_factor freq = super(Frequency, cls).__new__(cls, f) freq._time_unit = time_unit return freq def __repr__(self): return str(self) + ' Hz' def to_period(self, time_unit=base_unit): """Convert the value of a frequency to the corresponding period (defaulting to a representation in the base_unit) """ tuc = time_unit_conversion scale_factor = (float(tuc['s']) / tuc[time_unit]) return np.int64((1 / self) * scale_factor) ##Time-series: class TimeSeriesInterface(TimeInterface): """The minimally agreed upon interface for all time series. This should be thought of as an abstract base class. """ time = None data = None metadata = None class TimeSeriesBase(object): """Base class for time series, implementing the TimeSeriesInterface.""" def __init__(self, data, time_unit, metadata=None): """Common constructor shared by all TimeSeries classes.""" # Check that sensible time units were given if time_unit not in time_unit_conversion: raise ValueError('Invalid time unit %s, must be one of %s' % (time_unit, time_unit_conversion.keys())) #: the data is an arbitrary numpy array self.data = np.asanyarray(data) self.time_unit = time_unit # Every instance carries an empty metadata dict, which we promise never # to touch. This reserves this name as a user area for extra # information without the danger of name clashes in the future. if metadata is None: self.metadata = {} else: self.metadata = metadata def __len__(self): """Return the length of the time series.""" return self.data.shape[-1] def _validate_dimensionality(self): """Check that the data and time have the proper dimensions. """ if self.time.ndim != 1: raise ValueError("time array must be one-dimensional") npoints = self.data.shape[-1] if npoints != len(self.time): raise ValueError("mismatch of time and data dimensions") def __getitem__(self, key): """use fancy time-indexing (at() method).""" if isinstance(key, TimeInterface): return self.at(key) elif isinstance(key, Epochs): return self.during(key) elif self.data.ndim == 1: return self.data[key] # time is the last dimension else: return self.data[..., key] # time is the last dimension def __repr__(self): rep = self.__class__.__name__ + ":" return rep + self.time.__repr__() + self.data.T.__repr__() # add some methods that implement arithmetic on the timeseries data def __add__(self, other): out = self.copy() out.data = out.data.__add__(np.asanyarray(other).T) return out def __sub__(self, other): out = self.copy() out.data = out.data.__sub__(np.asanyarray(other).T) return out def __mul__(self, other): out = self.copy() out.data = out.data.__mul__(np.asanyarray(other).T) return out def __div__(self, other): out = self.copy() out.data = out.data.__truediv__(np.asanyarray(other).T) return out __truediv__ = __div__ # for py3k def __iadd__(self, other): self.data.__iadd__(np.asanyarray(other).T) return self def __isub__(self, other): self.data.__isub__(np.asanyarray(other).T) return self def __imul__(self, other): self.data.__imul__(np.asanyarray(other).T) return self def __idiv__(self, other): self.data.__itruediv__(np.asanyarray(other).T) return self __itruediv__ = __idiv__ # for py3k class TimeSeries(TimeSeriesBase): """Represent data collected at uniform intervals. """ @desc.setattr_on_read def time(self): """Construct time array for the time-series object. This holds a UniformTime object, with properties derived from the TimeSeries object""" return UniformTime(length=self.__len__(), t0=self.t0, sampling_interval=self.sampling_interval, time_unit=self.time_unit) #XXX This should call the constructor in an appropriate way, when provided #with a UniformTime object and data, so that you don't need to deal with #the constructor itself: @staticmethod def from_time_and_data(time, data): return TimeSeries.__init__(data, time=time) def copy(self): return TimeSeries(data=self.data.copy(), time=self.time.copy(), time_unit=self.time_unit, metadata=self.metadata.copy()) def __init__(self, data, t0=None, sampling_interval=None, sampling_rate=None, duration=None, time=None, time_unit='s', metadata=None): """Create a new TimeSeries. This class assumes that data is uniformly sampled, but you can specify the sampling in one of three (mutually exclusive) ways: - sampling_interval [, t0]: data sampled starting at t0, equal intervals of sampling_interval. - sampling_rate [, t0]: data sampled starting at t0, equal intervals of width 1/sampling_rate. - time: a UniformTime object, in which case the TimeSeries can 'inherit' the properties of this object. Parameters ---------- data : array_like Data array, interpreted as having its last dimension being time. sampling_interval : float Interval between successive time points. sampling_rate : float Inverse of the interval between successive time points. t0 : float If you provide a sampling rate, you can optionally also provide a starting time. time Instead of sampling rate, you can explicitly provide an object of class UniformTime. Note that you can still also provide a different sampling_rate/sampling_interval/duration to take the place of the one in this object, but only as long as the changes are consistent with the length of the data. time_unit : string The unit of time. Examples -------- The minimal specification of data and sampling interval: >>> ts = TimeSeries([1,2,3],sampling_interval=0.25) >>> ts.time UniformTime([ 0. , 0.25, 0.5 ], time_unit='s') >>> ts.t0 0.0 s >>> ts.sampling_rate 4.0 Hz Or data and sampling rate: >>> ts = TimeSeries([1,2,3],sampling_rate=2) >>> ts.time UniformTime([ 0. , 0.5, 1. ], time_unit='s') >>> ts.t0 0.0 s >>> ts.sampling_interval 0.5 s A time series where we specify the start time and sampling interval: >>> ts = TimeSeries([1,2,3],t0=4.25,sampling_interval=0.5) >>> ts.data array([1, 2, 3]) >>> ts.time UniformTime([ 4.25, 4.75, 5.25], time_unit='s') >>> ts.t0 4.25 s >>> ts.sampling_interval 0.5 s >>> ts.sampling_rate 2.0 Hz >>> ts = TimeSeries([1,2,3],t0=4.25,sampling_rate=2.0) >>> ts.data array([1, 2, 3]) >>> ts.time UniformTime([ 4.25, 4.75, 5.25], time_unit='s') >>> ts.t0 4.25 s >>> ts.sampling_interval 0.5 s >>> ts.sampling_rate 2.0 Hz """ #If a UniformTime object was provided as input: if isinstance(time, UniformTime): c_fac = time._conversion_factor #If the user did not provide an alternative t0, get that from the #input: if t0 is None: t0 = time.t0 #If the user did not provide an alternative sampling interval/rate: if sampling_interval is None and sampling_rate is None: sampling_interval = time.sampling_interval sampling_rate = time.sampling_rate #The duration can be read either from the length of the data, or #from the duration specified by the time-series: if duration is None: duration = time.duration length = time.shape[-1] #If changing the duration requires a change to the #sampling_rate, make sure that this was explicitly required by #the user - if the user did not explicitly set the #sampling_rate, or it is inconsistent, throw an error: data_len = np.array(data).shape[-1] if (length != data_len and sampling_rate != float(data_len * c_fac) / time.duration): e_s = "Length of the data (%s) " % str(len(data)) e_s += "specified sampling_rate (%s) " % str(sampling_rate) e_s += "do not match." raise ValueError(e_s) #If user does not provide a if time_unit is None: time_unit = time.time_unit else: ##If the input was not a UniformTime, we need to check that there ##is enough information in the input to generate the UniformTime ##array. #There are different valid combinations of inputs tspec = tuple(x is not None for x in [sampling_interval, sampling_rate, duration]) tspec_arg_names = ["sampling_interval", "sampling_rate", "duration"] #The valid configurations valid_tspecs = [ #interval, length: (True, False, False), #interval, duration: (True, False, True), #rate, length: (False, True, False), #rate, duration: (False, True, True), #length, duration: (False, False, True) ] if tspec not in valid_tspecs: raise ValueError("Invalid time specification. \n" "You provided: %s\n %s see docstring for more info." % ( str_tspec(tspec, tspec_arg_names), str_valid_tspecs(valid_tspecs, tspec_arg_names))) # Make sure to grab the time unit from the inputs, if it is provided: if time_unit is None: # If you gave us a duration with time_unit attached if isinstance(duration, TimeInterface): time_unit = duration.time_unit # Otherwise, you might have given us a sampling_interval with a # time_unit attached: elif isinstance(sampling_interval, TimeInterface): time_unit = sampling_interval.time_unit # Calculate the sampling_interval or sampling_rate from each other and # assign t0, if it is not already assigned: if sampling_interval is None: if isinstance(sampling_rate, Frequency): c_f = time_unit_conversion[time_unit] sampling_interval = sampling_rate.to_period() / float(c_f) elif sampling_rate is None: data_len = np.asarray(data).shape[-1] sampling_interval = float(duration) / data_len sampling_rate = Frequency(1.0 / sampling_interval, time_unit=time_unit) else: c_f = time_unit_conversion[time_unit] sampling_rate = Frequency(sampling_rate, time_unit='s') sampling_interval = sampling_rate.to_period() / float(c_f) else: if sampling_rate is None: # Only if you didn't already 'inherit' # this property from another time object # above: if isinstance(sampling_interval, TimeInterface): c_f = time_unit_conversion[sampling_interval.time_unit] sampling_rate = Frequency(1.0 / (float(sampling_interval) / c_f), time_unit=sampling_interval.time_unit) else: sampling_rate = Frequency(1.0 / sampling_interval, time_unit=time_unit) #Calculate the duration, if that is not defined: if duration is None: duration = np.asarray(data).shape[-1] * sampling_interval if t0 is None: t0 = 0 # Make sure to grab the time unit from the inputs, if it is provided: if time_unit is None: #If you gave us a duration with time_unit attached if isinstance(duration, TimeInterface): time_unit = duration.time_unit #Otherwise, you might have given us a sampling_interval with a #time_unit attached: elif isinstance(sampling_interval, TimeInterface): time_unit = sampling_interval.time_unit #Otherwise, you can still call the common constructor to get the real #object initialized, with time_unit set to None and that will generate #the object with time_unit set to 's': TimeSeriesBase.__init__(self, data, time_unit, metadata=metadata) self.time_unit = time_unit self.sampling_interval = TimeArray(sampling_interval, time_unit=self.time_unit) self.t0 = TimeArray(t0, time_unit=self.time_unit) self.sampling_rate = sampling_rate self.duration = TimeArray(duration, time_unit=self.time_unit) def at(self, t, tol=None): """ Returns the values of the TimeArray object at time t""" return self.data[..., self.time.index_at(t)] def during(self, e): """ Returns the TimeSeries slice corresponding to epoch e """ if not isinstance(e, Epochs): raise ValueError('e has to be of Epochs type') if e.data.ndim == 0: return TimeSeries(data=self.data[..., self.time.slice_during(e)], time_unit=self.time_unit, t0=e.offset, sampling_rate=self.sampling_rate) else: # TODO: make this a more efficient implementation, naive first pass if (e.duration != e.duration[0]).any(): raise ValueError("All epochs must have the same duration") data = np.array([self.data[..., self.time.slice_during(ep)] for ep in e]) return TimeSeries(data=data, time_unit=self.time_unit, t0=e.offset, sampling_rate=self.sampling_rate) @property def shape(self): return self.data.shape _epochtype = np.dtype({'names': ['start', 'stop'], 'formats': [np.int64] * 2}) class Epochs(desc.ResetMixin): """Represents a time interval""" def __init__(self, t0=None, stop=None, offset=None, start=None, duration=None, time_unit=None, static=None, **kwargs): """ Parameters ---------- t0 : 1-d array or `TimeArray` A time relative to which the epochs started. Per default `t0` and `start` are the same, but setting the `offset` parameter can adjust that, so that the start-times are at a fixed time, relative to t0. stop : 1-d array or `TimeArray` The times of ends of epochs offset : float, int or singleton `TimeArray` A constant offset applied to t0 to set the starts of Epochs start : 1-d array or `TimeArray` The times of beginnings of epochs duration : 1-d array or `TimeArray` The durations of intervals. time_unit : str, optional The time unit of the object and all time-related things in it. Default: 's' static : dict, optional For fast initialization of an `Epochs` object from another `Epochs` object, this dict should contain all necessary items to have an `Epoch` defined. """ # Short-circuit path for a fast initialization. This relies on `static` # to be a dict that contains everything that defines an Epochs class # XXX: add this sort of fast __init__ to all other classes if static is not None: self.__dict__.update(static) # we have to reset the duration OneTimeProperty, since it refers # to computations performed on the former object self.reset() return if t0 is None and start is None: raise ValueError('Either start or t0 need to be specified') # Normal, error checking and type converting initialization logic if stop is None and duration is None: raise ValueError('Either stop or duration have to be specified') if stop is not None and duration is not None: ### TODO: check if stop and duration are consistent e_s = 'Only either stop or duration have to be specified' raise ValueError(e_s) if offset is None: offset = 0 t_offset = TimeArray(offset, time_unit=time_unit) if t_offset.ndim > 0: raise ValueError('Only scalar offset allowed') if t0 is None: t_0 = 0 else: t_0 = TimeArray(t0, time_unit=time_unit) if start is None: t_start = t_0 - t_offset else: t_start = TimeArray(start, time_unit=time_unit) # inherit time_unit of t_start self.time_unit = t_start.time_unit if stop is None: t_duration = TimeArray(duration, time_unit=time_unit) t_stop = t_start + t_duration else: t_stop = TimeArray(stop, time_unit=time_unit) if t_start.shape != t_stop.shape: raise ValueError('start and stop have to have same shape') if t_start.ndim == 0: # return a 'scalar' epoch self.data = np.empty(1, dtype=_epochtype).reshape(()) elif t_start.ndim == 1: # return a 1-d epoch array self.data = np.empty(t_start.shape[0], dtype=_epochtype) else: e_s = 'Only 0-dim and 1-dim start and stop times allowed' raise ValueError(e_s) self.data['start'] = t_start self.data['stop'] = t_stop self.offset = t_offset # TODO: define setters for start, stop, offset attributes @property def start(self): return TimeArray(self.data['start'], time_unit=self.time_unit, copy=False) @property def stop(self): return TimeArray(self.data['stop'], time_unit=self.time_unit, copy=False) @desc.setattr_on_read def duration(self): """Duration array for the epoch""" return self.stop - self.start def __getitem__(self, key): # create the static dict needed for fast version of __init__ static = self.__dict__.copy() static['data'] = self.data[key] # self.__class__ here is Epochs or a subclass of Epochs # and `start` is a required argument return self.__class__(start=None, static=static) def __repr__(self): if self.data.ndim == 0: z = (self.start, self.stop) else: z = list(zip(self.start, self.stop)) rep = self.__class__.__name__ + "(" + z.__repr__() return rep + ", as (start,stop) tuples)" def __len__(self): return len(self.data) def str_tspec(tspec, arg_names): """ Turn a single tspec into human readable form""" # an all "False" will convert to an empty string unless we do the following # where we create an all False tuple of the appropriate length if tspec == tuple([False] * len(arg_names)): return "(nothing)" return ", ".join([arg for t, arg in zip(tspec, arg_names) if t]) def str_valid_tspecs(valid_tspecs, arg_names): """Given a set of valid_tspecs, return a string that turns them into human-readable form""" vargs = [] for tsp in valid_tspecs: vargs.append(str_tspec(tsp, arg_names)) return "\n Valid time specifications are:\n\t%s" % ("\n\t".join(vargs)) def concatenate_time_series(time_series_seq): """Concatenates a sequence of time-series objects in time. The input can be any iterable of time-series objects; metadata, sampling rates and other attributes are kept from the last one in the sequence. This one requires that all the time-series in the list have the same sampling rate and that all the data have the same number of items in all dimensions, except the time dimension""" # Extract the data pointer for each and build a common data block data = [] metadata = {} for ts in time_series_seq: data.append(ts.data) metadata.update(ts.metadata) # Sampling interval is read from the last one tseries = TimeSeries(np.concatenate(data,-1), sampling_interval=ts.sampling_interval, metadata=metadata) return tseries class Events(TimeInterface): """Represents timestamps and associated data """ def __init__(self, time, labels=None, indices=None, time_unit=None, **data): """ Parameters ---------- time : array or TimeArray The times at which events occurred labels : array, optional indices : int array, optional Notes ----- """ # The time data must be at least a 1-d array, NOT a time scalar if not np.iterable(time): time = [time] # First initilaize the TimeArray from the time-stamps self.time = TimeArray(time, time_unit=time_unit) self.time_unit = self.time.time_unit # Make sure time is one-dimensional if self.time.ndim != 1: e_s = 'The TimeArray provided can only be one-dimensional' raise ValueError(e_s) # Ensure that the dict of data values has a known, uniform structure: # all values must be arrays, with at least one dimension. new_data = {} for k, v in six.iteritems(data): if np.iterable(v): v = np.asanyarray(v) else: # For scalars, we do NOT want to create 0-d arrays, which are # rather tricky to work with. So if the input value is not an # iterable object, we turn it into a one-element 1-d array. v = np.array([v]) new_data[k] = v # Make sure all data has same length ntimepts = len(self.time) for check_v in new_data.values(): if len(check_v) != ntimepts: e_s = 'All data in the Events must be of the same' e_s += 'length as the associated time' raise ValueError(e_s) # Make sure indices have same length and are integers if labels is not None: if len(labels) != len(indices): e_s = 'Labels and indices must have the same length' raise ValueError(e_s) dt = [(l, np.int64) for l in labels] else: dt = np.int64 dt = [('i%d' % i, np.int64) for i in range(len(indices or ()))] or np.int64 self.index = np.array(list(zip(*(indices or ()))), dtype=dt).view(np.recarray) #Should data be a recarray? ## dt = [(st,np.array(data[st]).dtype) for st in data] or None ## self.data = np.array(zip(*data.values()), ## dtype=dt).view(np.recarray) #Or a dict? self.data = new_data def __repr__(self): rep = self.__class__.__name__ + ":\n\t" rep += repr(self.time) + "\n\t" rep += repr(self.data) return rep def __getitem__(self, key): # return scalar TimeArray in case key is integer newdata = dict() newtime = self.time[key].reshape(-1) sl = key if isinstance(key, float): sl = self.time.index_at(key) elif isinstance(key, Epochs): sl = self.time.slice_during(key) for k, v in self.data.items(): newdata[k] = v[sl] # XXX: I don't really understand how labels and index are supposed to # be used, so I'm not implementing them when slicing events - pi # 2010-12-04 # self.__class__ here is Events or a subclass of Events return self.__class__(newtime, **newdata) def __len__(self): return len(self.time) nitime-rel-0.8.1/nitime/utils.py000066400000000000000000002143111350450615100165660ustar00rootroot00000000000000"""Miscellaneous utilities for time series analysis. """ from __future__ import print_function import warnings import numpy as np import scipy.ndimage as ndimage from nitime.lazy import scipy_linalg as linalg from nitime.lazy import scipy_signal as sig from nitime.lazy import scipy_fftpack as fftpack from nitime.lazy import scipy_signal_signaltools as signaltools from nitime.lazy import scipy_stats_distributions as dists from nitime.lazy import scipy_interpolate as interpolate #----------------------------------------------------------------------------- # Spectral estimation testing utilities #----------------------------------------------------------------------------- def square_window_spectrum(N, Fs): r""" Calculate the analytical spectrum of a square window Parameters ---------- N : int the size of the window Fs : float The sampling rate Returns ------- float array - the frequency bands, given N and FS complex array: the power in the spectrum of the square window in the frequency bands Notes ----- This is equation 21c in Harris (1978): .. math:: W(\theta) = exp(-j \frac{N-1}{2} \theta) \frac{sin \frac{N\theta}{2}} {sin\frac{\theta}{2}} F.J. Harris (1978). On the use of windows for harmonic analysis with the discrete Fourier transform. Proceedings of the IEEE, 66:51-83 """ f = get_freqs(Fs, N - 1) j = 0 + 1j a = -j * (N - 1) * f / 2 b = np.sin(N * f / 2.0) c = np.sin(f / 2.0) make = np.exp(a) * b / c return f, make[1:] / make[1] def hanning_window_spectrum(N, Fs): r""" Calculate the analytical spectrum of a Hanning window Parameters ---------- N : int The size of the window Fs : float The sampling rate Returns ------- float array - the frequency bands, given N and FS complex array: the power in the spectrum of the square window in the frequency bands Notes ----- This is equation 28b in Harris (1978): .. math:: W(\theta) = 0.5 D(\theta) + 0.25 (D(\theta - \frac{2\pi}{N}) + D(\theta + \frac{2\pi}{N}) ), where: .. math:: D(\theta) = exp(j\frac{\theta}{2}) \frac{sin\frac{N\theta}{2}}{sin\frac{\theta}{2}} F.J. Harris (1978). On the use of windows for harmonic analysis with the discrete Fourier transform. Proceedings of the IEEE, 66:51-83 """ #A helper function D = lambda theta, n: ( np.exp((0 + 1j) * theta / 2) * ((np.sin(n * theta / 2)) / (theta / 2))) f = get_freqs(Fs, N) make = 0.5 * D(f, N) + 0.25 * (D((f - (2 * np.pi / N)), N) + D((f + (2 * np.pi / N)), N)) return f, make[1:] / make[1] def ar_generator(N=512, sigma=1., coefs=None, drop_transients=0, v=None): """ This generates a signal u(n) = a1*u(n-1) + a2*u(n-2) + ... + v(n) where v(n) is a stationary stochastic process with zero mean and variance = sigma. XXX: confusing variance notation Parameters ---------- N : float The number of points in the AR process generated. Default: 512 sigma : float The variance of the noise in the AR process. Default: 1 coefs : list or array of floats The AR model coefficients. Default: [2.7607, -3.8106, 2.6535, -0.9238], which is a sequence shown to be well-estimated by an order 8 AR system. drop_transients : float How many samples to drop from the beginning of the sequence (the transient phases of the process), so that the process can be considered stationary. v : float array Optionally, input a specific sequence of noise samples (this over-rides the sigma parameter). Default: None Returns ------- u : ndarray the AR sequence v : ndarray the unit-variance innovations sequence coefs : ndarray feedback coefficients from k=1,len(coefs) The form of the feedback coefficients is a little different than the normal linear constant-coefficient difference equation. Therefore the transfer function implemented in this method is H(z) = sigma**0.5 / ( 1 - sum_k coefs(k)z**(-k) ) 1 <= k <= P Examples -------- >>> import nitime.algorithms as alg >>> ar_seq, nz, alpha = ar_generator() >>> fgrid, hz = alg.freq_response(1.0, a=np.r_[1, -alpha]) >>> sdf_ar = (hz * hz.conj()).real """ if coefs is None: # this sequence is shown to be estimated well by an order 8 AR system coefs = np.array([2.7607, -3.8106, 2.6535, -0.9238]) else: coefs = np.asarray(coefs) # The number of terms we generate must include the dropped transients, and # then at the end we cut those out of the returned array. N += drop_transients # Typically uses just pass sigma in, but optionally they can provide their # own noise vector, case in which we use it if v is None: v = np.random.normal(size=N) v -= v[drop_transients:].mean() b = [sigma ** 0.5] a = np.r_[1, -coefs] u = sig.lfilter(b, a, v) # Only return the data after the drop_transients terms return u[drop_transients:], v[drop_transients:], coefs def circularize(x, bottom=0, top=2 * np.pi, deg=False): """Maps the input into the continuous interval (bottom, top) where bottom defaults to 0 and top defaults to 2*pi Parameters ---------- x : ndarray - the input array bottom : float, optional (defaults to 0). If you want to set the bottom of the interval into which you modulu to something else than 0. top : float, optional (defaults to 2*pi). If you want to set the top of the interval into which you modulu to something else than 2*pi Returns ------- The input array, mapped into the interval (bottom,top) """ x = np.asarray([x]) if (np.all(x[np.isfinite(x)] >= bottom) and np.all(x[np.isfinite(x)] <= top)): return np.squeeze(x) else: x[np.where(x < 0)] += top x[np.where(x > top)] -= top return np.squeeze(circularize(x, bottom=bottom, top=top)) def dB(x, power=True): """Convert the values in x to decibels. If the values in x are in 'power'-like units, then set the power flag accordingly 1) dB(x) = 10log10(x) (if power==True) 2) dB(x) = 10log10(|x|^2) = 20log10(|x|) (if power==False) """ if not power: return 20 * np.log10(np.abs(x)) return 10 * np.log10(np.abs(x)) #----------------------------------------------------------------------------- # Stats utils #----------------------------------------------------------------------------- def normalize_coherence(x, dof, copy=True): """ The generally accepted choice to transform coherence measures into a more normal distribution Parameters ---------- x : ndarray, real square-root of magnitude-square coherence measures dof : int number of degrees of freedom in the multitaper model copy : bool Copy or return inplace modified x. Returns ------- y : ndarray, real The transformed array. """ if copy: x = x.copy() np.arctanh(x, x) x *= np.sqrt(dof) return x def normal_coherence_to_unit(y, dof, out=None): """ The inverse transform of the above normalization """ if out is None: x = y / np.sqrt(dof) else: y /= np.sqrt(dof) x = y np.tanh(x, x) return x def expected_jk_variance(K): """Compute the expected value of the jackknife variance estimate over K windows below. This expected value formula is based on the asymptotic expansion of the trigamma function derived in [Thompson_1994] Parameters --------- K : int Number of tapers used in the multitaper method Returns ------- evar : float Expected value of the jackknife variance estimator """ kf = float(K) return ((1 / kf) * (kf - 1) / (kf - 0.5) * ((kf - 1) / (kf - 2)) ** 2 * (kf - 3) / (kf - 2)) def jackknifed_sdf_variance(yk, eigvals, sides='onesided', adaptive=True): r""" Returns the variance of the log-sdf estimated through jack-knifing a group of independent sdf estimates. Parameters ---------- yk : ndarray (K, L) The K DFTs of the tapered sequences eigvals : ndarray (K,) The eigenvalues corresponding to the K DPSS tapers sides : str, optional Compute the jackknife pseudovalues over as one-sided or two-sided spectra adpative : bool, optional Compute the adaptive weighting for each jackknife pseudovalue Returns ------- var : The estimate for log-sdf variance Notes ----- The jackknifed mean estimate is distributed about the true mean as a Student's t-distribution with (K-1) degrees of freedom, and standard error equal to sqrt(var). However, Thompson and Chave [1] point out that this variance better describes the sample mean. [1] Thomson D J, Chave A D (1991) Advances in Spectrum Analysis and Array Processing (Prentice-Hall, Englewood Cliffs, NJ), 1, pp 58-113. """ K = yk.shape[0] from nitime.algorithms import mtm_cross_spectrum # the samples {S_k} are defined, with or without weights, as # S_k = | x_k |**2 # | x_k |**2 = | y_k * d_k |**2 (with adaptive weights) # | x_k |**2 = | y_k * sqrt(eig_k) |**2 (without adaptive weights) all_orders = set(range(K)) jk_sdf = [] # get the leave-one-out estimates -- ideally, weights are recomputed # for each leave-one-out. This is now the case. for i in range(K): items = list(all_orders.difference([i])) spectra_i = np.take(yk, items, axis=0) eigs_i = np.take(eigvals, items) if adaptive: # compute the weights weights, _ = adaptive_weights(spectra_i, eigs_i, sides=sides) else: weights = eigs_i[:, None] # this is the leave-one-out estimate of the sdf jk_sdf.append( mtm_cross_spectrum( spectra_i, spectra_i, weights, sides=sides ) ) # log-transform the leave-one-out estimates and the mean of estimates jk_sdf = np.log(jk_sdf) # jk_avg should be the mean of the log(jk_sdf(i)) jk_avg = jk_sdf.mean(axis=0) K = float(K) jk_var = (jk_sdf - jk_avg) np.power(jk_var, 2, jk_var) jk_var = jk_var.sum(axis=0) # Thompson's recommended factor, eq 18 # Jackknifing Multitaper Spectrum Estimates # IEEE SIGNAL PROCESSING MAGAZINE [20] JULY 2007 f = (K - 1) ** 2 / K / (K - 0.5) jk_var *= f return jk_var def jackknifed_coh_variance(tx, ty, eigvals, adaptive=True): """ Returns the variance of the coherency between x and y, estimated through jack-knifing the tapered samples in {tx, ty}. Parameters ---------- tx : ndarray, (K, L) The K complex spectra of tapered timeseries x ty : ndarray, (K, L) The K complex spectra of tapered timeseries y eigvals : ndarray (K,) The eigenvalues associated with the K DPSS tapers Returns ------- jk_var : ndarray The variance computed in the transformed domain (see normalize_coherence) """ K = tx.shape[0] # calculate leave-one-out estimates of MSC (magnitude squared coherence) jk_coh = [] # coherence is symmetric (right??) sides = 'onesided' all_orders = set(range(K)) import nitime.algorithms as alg # get the leave-one-out estimates for i in range(K): items = list(all_orders.difference([i])) tx_i = np.take(tx, items, axis=0) ty_i = np.take(ty, items, axis=0) eigs_i = np.take(eigvals, items) if adaptive: wx, _ = adaptive_weights(tx_i, eigs_i, sides=sides) wy, _ = adaptive_weights(ty_i, eigs_i, sides=sides) else: wx = wy = eigs_i[:, None] # The CSD sxy_i = alg.mtm_cross_spectrum(tx_i, ty_i, (wx, wy), sides=sides) # The PSDs sxx_i = alg.mtm_cross_spectrum(tx_i, tx_i, wx, sides=sides) syy_i = alg.mtm_cross_spectrum(ty_i, ty_i, wy, sides=sides) # these are the | c_i | samples msc = np.abs(sxy_i) msc /= np.sqrt(sxx_i * syy_i) jk_coh.append(msc) jk_coh = np.array(jk_coh) # now normalize the coherence estimates and take the mean normalize_coherence(jk_coh, 2 * K - 2, copy=False) # inplace jk_avg = np.mean(jk_coh, axis=0) jk_var = (jk_coh - jk_avg) np.power(jk_var, 2, jk_var) jk_var = jk_var.sum(axis=0) # Do/Don't use the alternative scaling here?? f = float(K - 1) / K jk_var *= f return jk_var #----------------------------------------------------------------------------- # Multitaper utils #----------------------------------------------------------------------------- def adaptive_weights(yk, eigvals, sides='onesided', max_iter=150): r""" Perform an iterative procedure to find the optimal weights for K direct spectral estimators of DPSS tapered signals. Parameters ---------- yk : ndarray (K, N) The K DFTs of the tapered sequences eigvals : ndarray, length-K The eigenvalues of the DPSS tapers sides : str Whether to compute weights on a one-sided or two-sided spectrum max_iter : int Maximum number of iterations for weight computation Returns ------- weights, nu The weights (array like sdfs), and the "equivalent degrees of freedom" (array length-L) Notes ----- The weights to use for making the multitaper estimate, such that :math:`S_{mt} = \sum_{k} |w_k|^2S_k^{mt} / \sum_{k} |w_k|^2` If there are less than 3 tapers, then the adaptive weights are not found. The square root of the eigenvalues are returned as weights, and the degrees of freedom are 2*K """ from nitime.algorithms import mtm_cross_spectrum K = len(eigvals) if len(eigvals) < 3: print(""" Warning--not adaptively combining the spectral estimators due to a low number of tapers. """) # we'll hope this is a correct length for L N = yk.shape[-1] L = N // 2 + 1 if sides == 'onesided' else N return (np.multiply.outer(np.sqrt(eigvals), np.ones(L)), 2 * K) rt_eig = np.sqrt(eigvals) # combine the SDFs in the traditional way in order to estimate # the variance of the timeseries N = yk.shape[1] sdf = mtm_cross_spectrum(yk, yk, eigvals[:, None], sides=sides) L = sdf.shape[-1] var_est = np.sum(sdf, axis=-1) / N bband_sup = (1-eigvals)*var_est # The process is to iteratively switch solving for the following # two expressions: # (1) Adaptive Multitaper SDF: # S^{mt}(f) = [ sum |d_k(f)|^2 S_k(f) ]/ sum |d_k(f)|^2 # # (2) Weights # d_k(f) = [sqrt(lam_k) S^{mt}(f)] / [lam_k S^{mt}(f) + E{B_k(f)}] # # Where lam_k are the eigenvalues corresponding to the DPSS tapers, # and the expected value of the broadband bias function # E{B_k(f)} is replaced by its full-band integration # (1/2pi) int_{-pi}^{pi} E{B_k(f)} = sig^2(1-lam_k) # start with an estimate from incomplete data--the first 2 tapers sdf_iter = mtm_cross_spectrum(yk[:2], yk[:2], eigvals[:2, None], sides=sides) err = np.zeros((K, L)) # for numerical considerations, don't bother doing adaptive # weighting after 150 dB down min_pwr = sdf_iter.max() * 10 ** (-150/20.) default_weights = np.where(sdf_iter < min_pwr)[0] adaptiv_weights = np.where(sdf_iter >= min_pwr)[0] w_def = rt_eig[:,None] * sdf_iter[default_weights] w_def /= eigvals[:, None] * sdf_iter[default_weights] + bband_sup[:,None] d_sdfs = np.abs(yk[:,adaptiv_weights])**2 if L < N: d_sdfs *= 2 sdf_iter = sdf_iter[adaptiv_weights] yk = yk[:,adaptiv_weights] for n in range(max_iter): d_k = rt_eig[:,None] * sdf_iter[None, :] d_k /= eigvals[:, None]*sdf_iter[None, :] + bband_sup[:,None] # Test for convergence -- this is overly conservative, since # iteration only stops when all frequencies have converged. # A better approach is to iterate separately for each freq, but # that is a nonvectorized algorithm. #sdf_iter = mtm_cross_spectrum(yk, yk, d_k, sides=sides) sdf_iter = np.sum( d_k**2 * d_sdfs, axis=0 ) sdf_iter /= np.sum( d_k**2, axis=0 ) # Compute the cost function from eq 5.4 in Thomson 1982 cfn = eigvals[:,None] * (sdf_iter[None,:] - d_sdfs) cfn /= (eigvals[:,None] * sdf_iter[None,:] + bband_sup[:,None])**2 cfn = np.sum(cfn, axis=0) # there seem to be some pathological freqs sometimes .. # this should be a good heuristic if np.percentile(cfn**2, 95) < 1e-12: break else: # If you have reached maximum number of iterations # Issue a warning and return non-converged weights: e_s = 'Breaking due to iterative meltdown in ' e_s += 'nitime.utils.adaptive_weights.' warnings.warn(e_s, RuntimeWarning) weights = np.zeros( (K,L) ) weights[:,adaptiv_weights] = d_k weights[:,default_weights] = w_def nu = 2 * (weights ** 2).sum(axis=-2) return weights, nu def dpss_windows(N, NW, Kmax, interp_from=None, interp_kind='linear'): """ Returns the Discrete Prolate Spheroidal Sequences of orders [0,Kmax-1] for a given frequency-spacing multiple NW and sequence length N. Parameters ---------- N : int sequence length NW : float, unitless standardized half bandwidth corresponding to 2NW = BW/f0 = BW*N*dt but with dt taken as 1 Kmax : int number of DPSS windows to return is Kmax (orders 0 through Kmax-1) interp_from : int (optional) The dpss can be calculated using interpolation from a set of dpss with the same NW and Kmax, but shorter N. This is the length of this shorter set of dpss windows. interp_kind : str (optional) This input variable is passed to scipy.interpolate.interp1d and specifies the kind of interpolation as a string ('linear', 'nearest', 'zero', 'slinear', 'quadratic, 'cubic') or as an integer specifying the order of the spline interpolator to use. Returns ------- v, e : tuple, v is an array of DPSS windows shaped (Kmax, N) e are the eigenvalues Notes ----- Tridiagonal form of DPSS calculation from: Slepian, D. Prolate spheroidal wave functions, Fourier analysis, and uncertainty V: The discrete case. Bell System Technical Journal, Volume 57 (1978), 1371430 """ Kmax = int(Kmax) W = float(NW) / N nidx = np.arange(N, dtype='d') # In this case, we create the dpss windows of the smaller size # (interp_from) and then interpolate to the larger size (N) if interp_from is not None: if interp_from > N: e_s = 'In dpss_windows, interp_from is: %s ' % interp_from e_s += 'and N is: %s. ' % N e_s += 'Please enter interp_from smaller than N.' raise ValueError(e_s) dpss = [] d, e = dpss_windows(interp_from, NW, Kmax) for this_d in d: x = np.arange(this_d.shape[-1]) I = interpolate.interp1d(x, this_d, kind=interp_kind) d_temp = I(np.linspace(0, this_d.shape[-1] - 1, N, endpoint=False)) # Rescale: d_temp = d_temp / np.sqrt(np.sum(d_temp ** 2)) dpss.append(d_temp) dpss = np.array(dpss) else: # here we want to set up an optimization problem to find a sequence # whose energy is maximally concentrated within band [-W,W]. # Thus, the measure lambda(T,W) is the ratio between the energy within # that band, and the total energy. This leads to the eigen-system # (A - (l1)I)v = 0, where the eigenvector corresponding to the largest # eigenvalue is the sequence with maximally concentrated energy. The # collection of eigenvectors of this system are called Slepian # sequences, or discrete prolate spheroidal sequences (DPSS). Only the # first K, K = 2NW/dt orders of DPSS will exhibit good spectral # concentration # [see http://en.wikipedia.org/wiki/Spectral_concentration_problem] # Here I set up an alternative symmetric tri-diagonal eigenvalue # problem such that # (B - (l2)I)v = 0, and v are our DPSS (but eigenvalues l2 != l1) # the main diagonal = ([N-1-2*t]/2)**2 cos(2PIW), t=[0,1,2,...,N-1] # and the first off-diagonal = t(N-t)/2, t=[1,2,...,N-1] # [see Percival and Walden, 1993] diagonal = ((N - 1 - 2 * nidx) / 2.) ** 2 * np.cos(2 * np.pi * W) off_diag = np.zeros_like(nidx) off_diag[:-1] = nidx[1:] * (N - nidx[1:]) / 2. # put the diagonals in LAPACK "packed" storage ab = np.zeros((2, N), 'd') ab[1] = diagonal ab[0, 1:] = off_diag[:-1] # only calculate the highest Kmax eigenvalues w = linalg.eigvals_banded(ab, select='i', select_range=(N - Kmax, N - 1)) w = w[::-1] # find the corresponding eigenvectors via inverse iteration t = np.linspace(0, np.pi, N) dpss = np.zeros((Kmax, N), 'd') for k in range(Kmax): dpss[k] = tridi_inverse_iteration( diagonal, off_diag, w[k], x0=np.sin((k + 1) * t) ) # By convention (Percival and Walden, 1993 pg 379) # * symmetric tapers (k=0,2,4,...) should have a positive average. # * antisymmetric tapers should begin with a positive lobe fix_symmetric = (dpss[0::2].sum(axis=1) < 0) for i, f in enumerate(fix_symmetric): if f: dpss[2 * i] *= -1 # rather than test the sign of one point, test the sign of the # linear slope up to the first (largest) peak pk = np.argmax(np.abs(dpss[1::2, :N//2]), axis=1) for i, p in enumerate(pk): if np.sum(dpss[2 * i + 1, :p]) < 0: dpss[2 * i + 1] *= -1 # Now find the eigenvalues of the original spectral concentration problem # Use the autocorr sequence technique from Percival and Walden, 1993 pg 390 dpss_rxx = autocorr(dpss) * N r = 4 * W * np.sinc(2 * W * nidx) r[0] = 2 * W eigvals = np.dot(dpss_rxx, r) return dpss, eigvals def tapered_spectra(s, tapers, NFFT=None, low_bias=True): """ Compute the tapered spectra of the rows of s. Parameters ---------- s : ndarray, (n_arr, n_pts) An array whose rows are timeseries. tapers : ndarray or container Either the precomputed DPSS tapers, or the pair of parameters (NW, K) needed to compute K tapers of length n_pts. NFFT : int Number of FFT bins to compute low_bias : Boolean If compute DPSS, automatically select tapers corresponding to > 90% energy concentration. Returns ------- t_spectra : ndarray, shaped (n_arr, K, NFFT) The FFT of the tapered sequences in s. First dimension is squeezed out if n_arr is 1. eigvals : ndarray The eigenvalues are also returned if DPSS are calculated here. """ N = s.shape[-1] # XXX: don't allow NFFT < N -- not every implementation is so restrictive! if NFFT is None or NFFT < N: NFFT = N rest_of_dims = s.shape[:-1] M = int(np.product(rest_of_dims)) s = s.reshape(int(np.product(rest_of_dims)), N) # de-mean this sucker s = remove_bias(s, axis=-1) if not isinstance(tapers, np.ndarray): # then tapers is (NW, K) args = (N,) + tuple(tapers) dpss, eigvals = dpss_windows(*args) if low_bias: keepers = (eigvals > 0.9) dpss = dpss[keepers] eigvals = eigvals[keepers] tapers = dpss else: eigvals = None K = tapers.shape[0] sig_sl = [slice(None)] * len(s.shape) sig_sl.insert(len(s.shape) - 1, np.newaxis) # tapered.shape is (M, Kmax, N) tapered = s[tuple(sig_sl)] * tapers # compute the y_{i,k}(f) -- full FFT takes ~1.5x longer, but unpacking # results of real-valued FFT eats up memory t_spectra = fftpack.fft(tapered, n=NFFT, axis=-1) t_spectra.shape = rest_of_dims + (K, NFFT) if eigvals is None: return t_spectra return t_spectra, eigvals def detect_lines(s, tapers, p=None, **taper_kws): """ Detect the presence of line spectra in s using the F-test described in "Spectrum estimation and harmonic analysis" (Thompson 81). Strategies for detecting harmonics in low SNR include increasing the number of FFT points (NFFT keyword arg) and/or increasing the stability of the spectral estimate by using more tapers (higher NW parameter). s : ndarray The sequence(s) to test. If s.ndim > 1, then test sequences in the last axis in parallel tapers : ndarray or container Either the precomputed DPSS tapers, or the pair of parameters (NW, K) needed to compute K tapers of length n_pts. p : float The confidence threshold: under the null hypothesis of a locally white spectrum, there is a threshold such that there is a (1-p)% chance of a line amplitude being larger than that threshold. Only detect lines with amplitude greater than this threshold. The default is 1/NFFT, to control for false positives. taper_kws Options for the tapered_spectra method, if no DPSS are provided. Returns ------- (freq, beta) : sequence The frequencies (normalized in [0, .5]) and coefficients of the complex exponentials detected in the spectrum. A pair is returned for each sequence tested. One can reconstruct the line components as such: sn = 2*(beta[:,None]*np.exp(i*2*np.pi*np.arange(N)*freq[:,None])).real sn = sn.sum(axis=0) """ N = s.shape[-1] # Some boiler-plate -- # 1) set up tapers # 2) perform FFT on all windowed series if not isinstance(tapers, np.ndarray): # then tapers is (NW, K) args = (N,) + tuple(tapers) dpss, eigvals = dpss_windows(*args) if taper_kws.pop('low_bias', False): keepers = (eigvals > 0.9) dpss = dpss[keepers] tapers = dpss # spectra is (n_arr, K, nfft) spectra = tapered_spectra(s, tapers, **taper_kws) nfft = spectra.shape[-1] spectra = spectra[..., :nfft//2 + 1] # Set up some data for the following calculations -- # get the DC component of the taper spectra K = tapers.shape[0] U0 = tapers.sum(axis=1) U_sq = np.sum(U0**2) # first order linear regression for mu to explain spectra mu = np.sum( U0[:,None] * spectra, axis=-2 ) / U_sq # numerator of F-stat -- strength of regression numr = 0.5 * np.abs(mu)**2 * U_sq numr[...,0] = 1; # don't care about DC # denominator -- strength of residual spectra = np.rollaxis(spectra, -2, 0) U0.shape = (K,) + (1,) * (spectra.ndim-1) denomr = spectra - U0*mu denomr = np.sum(np.abs(denomr)**2, axis=0) / (2*K-2) denomr[...,0] = 1; f_stat = numr / denomr # look for lines in each F-spectrum if not p: # the number of simultaneous tests are nfft/2, so this puts # the expected value for false detection somewhere less than 1 p = 1.0/nfft #thresh = dists.f.isf(p, 2, 2*K-2) thresh = dists.f.isf(p, 2, K-1) f_stat = np.atleast_2d(f_stat) mu = np.atleast_2d(mu) lines = () for fs, m in zip(f_stat, mu): detected = np.where(fs > thresh)[0] # do a quick pass through the detected lines to reject multiple # hits within the 2NW resolution of the MT analysis -- approximate # 2NW by K ddiff = np.diff(detected) flagged_groups, last_group = ndimage.label( (ddiff < K) ) for g in range(1,last_group+1): idx = np.where(flagged_groups==g)[0] idx = np.r_[idx, idx[-1]+1] # keep the super-threshold point with largest amplitude mx = np.argmax(np.abs(m[ detected[idx] ])) i_sv = detected[idx[mx]] detected[idx] = -1 detected[idx[mx]] = i_sv detected = detected[detected>0] if len(detected): lines = lines + ( (detected/float(nfft), m[detected]), ) else: lines = lines + ( (), ) if len(lines) == 1: lines = lines[0] return lines #----------------------------------------------------------------------------- # Eigensystem utils #----------------------------------------------------------------------------- # If we can get it, we want the cythonized version try: from _utils import tridisolve # If that doesn't work, we define it here: except ImportError: def tridisolve(d, e, b, overwrite_b=True): """ Symmetric tridiagonal system solver, from Golub and Van Loan, Matrix Computations pg 157 Parameters ---------- d : ndarray main diagonal stored in d[:] e : ndarray superdiagonal stored in e[:-1] b : ndarray RHS vector Returns ------- x : ndarray Solution to Ax = b (if overwrite_b is False). Otherwise solution is stored in previous RHS vector b """ N = len(b) # work vectors dw = d.copy() ew = e.copy() if overwrite_b: x = b else: x = b.copy() for k in range(1, N): # e^(k-1) = e(k-1) / d(k-1) # d(k) = d(k) - e^(k-1)e(k-1) / d(k-1) t = ew[k - 1] ew[k - 1] = t / dw[k - 1] dw[k] = dw[k] - t * ew[k - 1] for k in range(1, N): x[k] = x[k] - ew[k - 1] * x[k - 1] x[N - 1] = x[N - 1] / dw[N - 1] for k in range(N - 2, -1, -1): x[k] = x[k] / dw[k] - ew[k] * x[k + 1] if not overwrite_b: return x def tridi_inverse_iteration(d, e, w, x0=None, rtol=1e-8): """Perform an inverse iteration to find the eigenvector corresponding to the given eigenvalue in a symmetric tridiagonal system. Parameters ---------- d : ndarray main diagonal of the tridiagonal system e : ndarray offdiagonal stored in e[:-1] w : float eigenvalue of the eigenvector x0 : ndarray initial point to start the iteration rtol : float tolerance for the norm of the difference of iterates Returns ------- e : ndarray The converged eigenvector """ eig_diag = d - w if x0 is None: x0 = np.random.randn(len(d)) x_prev = np.zeros_like(x0) norm_x = np.linalg.norm(x0) # the eigenvector is unique up to sign change, so iterate # until || |x^(n)| - |x^(n-1)| ||^2 < rtol x0 /= norm_x while np.linalg.norm(np.abs(x0) - np.abs(x_prev)) > rtol: x_prev = x0.copy() tridisolve(eig_diag, e, x0) norm_x = np.linalg.norm(x0) x0 /= norm_x return x0 #----------------------------------------------------------------------------- # Correlation/Covariance utils #----------------------------------------------------------------------------- def remove_bias(x, axis): "Subtracts an estimate of the mean from signal x at axis" padded_slice = [slice(d) for d in x.shape] padded_slice[axis] = np.newaxis mn = np.mean(x, axis=axis) return x - mn[tuple(padded_slice)] def crosscov(x, y, axis=-1, all_lags=False, debias=True, normalize=True): r"""Returns the crosscovariance sequence between two ndarrays. This is performed by calling fftconvolve on x, y[::-1] Parameters ---------- x : ndarray y : ndarray axis : time axis all_lags : {True/False} whether to return all nonzero lags, or to clip the length of s_xy to be the length of x and y. If False, then the zero lag covariance is at index 0. Otherwise, it is found at (len(x) + len(y) - 1)/2 debias : {True/False} Always removes an estimate of the mean along the axis, unless told not to (eg X and Y are known zero-mean) Returns ------- cxy : ndarray The crosscovariance function Notes ----- cross covariance of processes x and y is defined as .. math:: C_{xy}[k]=E\{(X(n+k)-E\{X\})(Y(n)-E\{Y\})^{*}\} where X and Y are discrete, stationary (or ergodic) random processes Also note that this routine is the workhorse for all auto/cross/cov/corr functions. """ if x.shape[axis] != y.shape[axis]: raise ValueError( 'crosscov() only works on same-length sequences for now' ) if debias: x = remove_bias(x, axis) y = remove_bias(y, axis) slicing = [slice(d) for d in x.shape] slicing[axis] = slice(None, None, -1) cxy = fftconvolve(x, y[tuple(slicing)].conj(), axis=axis, mode='full') N = x.shape[axis] if normalize: cxy /= N if all_lags: return cxy slicing[axis] = slice(N - 1, 2 * N - 1) return cxy[tuple(slicing)] def crosscorr(x, y, **kwargs): r""" Returns the crosscorrelation sequence between two ndarrays. This is performed by calling fftconvolve on x, y[::-1] Parameters ---------- x : ndarray y : ndarray axis : time axis all_lags : {True/False} whether to return all nonzero lags, or to clip the length of r_xy to be the length of x and y. If False, then the zero lag correlation is at index 0. Otherwise, it is found at (len(x) + len(y) - 1)/2 Returns ------- rxy : ndarray The crosscorrelation function Notes ----- cross correlation is defined as .. math:: R_{xy}[k]=E\{X[n+k]Y^{*}[n]\} where X and Y are discrete, stationary (ergodic) random processes """ # just make the same computation as the crosscovariance, # but without subtracting the mean kwargs['debias'] = False rxy = crosscov(x, y, **kwargs) return rxy def autocov(x, **kwargs): r"""Returns the autocovariance of signal s at all lags. Parameters ---------- x : ndarray axis : time axis all_lags : {True/False} whether to return all nonzero lags, or to clip the length of r_xy to be the length of x and y. If False, then the zero lag correlation is at index 0. Otherwise, it is found at (len(x) + len(y) - 1)/2 Returns ------- cxx : ndarray The autocovariance function Notes ----- Adheres to the definition .. math:: C_{xx}[k]=E\{(X[n+k]-E\{X\})(X[n]-E\{X\})^{*}\} where X is a discrete, stationary (ergodic) random process """ # only remove the mean once, if needed debias = kwargs.pop('debias', True) axis = kwargs.get('axis', -1) if debias: x = remove_bias(x, axis) kwargs['debias'] = False return crosscov(x, x, **kwargs) def autocorr(x, **kwargs): r"""Returns the autocorrelation of signal s at all lags. Parameters ---------- x : ndarray axis : time axis all_lags : {True/False} whether to return all nonzero lags, or to clip the length of r_xy to be the length of x and y. If False, then the zero lag correlation is at index 0. Otherwise, it is found at (len(x) + len(y) - 1)/2 Notes ----- Adheres to the definition .. math:: R_{xx}[k]=E\{X[n+k]X^{*}[n]\} where X is a discrete, stationary (ergodic) random process """ # do same computation as autocovariance, # but without subtracting the mean kwargs['debias'] = False return autocov(x, **kwargs) def fftconvolve(in1, in2, mode="full", axis=None): """ Convolve two N-dimensional arrays using FFT. See convolve. This is a fix of scipy.signal.fftconvolve, adding an axis argument. """ s1 = np.array(in1.shape) s2 = np.array(in2.shape) complex_result = (np.issubdtype(in1.dtype, np.complex128) or np.issubdtype(in2.dtype, np.complex128)) if axis is None: size = s1 + s2 - 1 fslice = tuple([slice(0, int(sz)) for sz in size]) else: equal_shapes = s1 == s2 # allow equal_shapes[axis] to be False equal_shapes[axis] = True assert equal_shapes.all(), 'Shape mismatch on non-convolving axes' size = s1[axis] + s2[axis] - 1 fslice = [slice(l) for l in s1] fslice[axis] = slice(0, int(size)) fslice = tuple(fslice) # Always use 2**n-sized FFT fsize = 2 ** int(np.ceil(np.log2(size))) if axis is None: IN1 = fftpack.fftn(in1, fsize) IN1 *= fftpack.fftn(in2, fsize) ret = fftpack.ifftn(IN1)[fslice].copy() else: IN1 = fftpack.fft(in1, fsize, axis=axis) IN1 *= fftpack.fft(in2, fsize, axis=axis) ret = fftpack.ifft(IN1, axis=axis)[fslice].copy() del IN1 if not complex_result: ret = ret.real if mode == "full": return ret elif mode == "same": if np.product(s1, axis=0) > np.product(s2, axis=0): osize = s1 else: osize = s2 return signaltools._centered(ret, osize) elif mode == "valid": return signaltools._centered(ret, abs(s2 - s1) + 1) #----------------------------------------------------------------------------- # 'get' utils #----------------------------------------------------------------------------- def get_freqs(Fs, n): """Returns the center frequencies of the frequency decomposition of a time series of length n, sampled at Fs Hz""" return np.linspace(0, Fs / 2, int(n / 2 + 1)) def circle_to_hz(omega, Fsamp): """For a frequency grid spaced on the unit circle of an imaginary plane, return the corresponding frequency grid in Hz. """ return Fsamp * omega / (2 * np.pi) def get_bounds(f, lb=0, ub=None): """ Find the indices of the lower and upper bounds within an array f Parameters ---------- f, array lb,ub, float Returns ------- lb_idx, ub_idx: the indices into 'f' which correspond to values bounded between ub and lb in that array """ lb_idx = np.searchsorted(f, lb, 'left') if ub == None: ub_idx = len(f) else: ub_idx = np.searchsorted(f, ub, 'right') return lb_idx, ub_idx def unwrap_phases(a): """ Changes consecutive jumps larger than pi to their 2*pi complement. """ pi = np.pi diffs = np.diff(a) mod_diffs = np.mod(diffs + pi, 2 * pi) - pi neg_pi_idx = np.where(mod_diffs == -1 * np.pi) pos_idx = np.where(diffs > 0) this_idx = np.intersect1d(neg_pi_idx[0], pos_idx[0]) mod_diffs[this_idx] = pi correction = mod_diffs - diffs correction[np.where(np.abs(diffs) < pi)] = 0 a[1:] += np.cumsum(correction) return a def multi_intersect(input): """ A function for finding the intersection of several different arrays Parameters ---------- input is a tuple of arrays, with all the different arrays Returns ------- array - the intersection of the inputs Notes ----- Simply runs intersect1d iteratively on the inputs """ arr = input[0].ravel() for this in input[1:]: arr = np.intersect1d(arr, this.ravel()) return arr def zero_pad(time_series, NFFT): """ Pad a time-series with zeros on either side, depending on its length Parameters ---------- time_series : n-d array Time-series data with time as the last dimension NFFT : int The length to pad the data up to. """ n_dims = len(time_series.shape) n_time_points = time_series.shape[-1] if n_dims>1: n_channels = time_series.shape[:-1] shape_out = n_channels + (NFFT,) else: shape_out = NFFT # zero pad if time_series is too short if n_time_points < NFFT: tmp = time_series time_series = np.zeros(shape_out, time_series.dtype) time_series[..., :n_time_points] = tmp del tmp return time_series #----------------------------------------------------------------------------- # Numpy utilities - Note: these have been sent into numpy itself, so eventually # we'll be able to get rid of them here. #----------------------------------------------------------------------------- def fill_diagonal(a, val): """Fill the main diagonal of the given array of any dimensionality. For an array with ndim > 2, the diagonal is the list of locations with indices a[i,i,...,i], all identical. This function modifies the input array in-place, it does not return a value. This functionality can be obtained via diag_indices(), but internally this version uses a much faster implementation that never constructs the indices and uses simple slicing. Parameters ---------- a : array, at least 2-dimensional. Array whose diagonal is to be filled, it gets modified in-place. val : scalar Value to be written on the diagonal, its type must be compatible with that of the array a. Examples -------- >>> a = np.zeros((3,3),int) >>> fill_diagonal(a,5) >>> a array([[5, 0, 0], [0, 5, 0], [0, 0, 5]]) The same function can operate on a 4-d array: >>> a = np.zeros((3,3,3,3),int) >>> fill_diagonal(a,4) We only show a few blocks for clarity: >>> a[0,0] array([[4, 0, 0], [0, 0, 0], [0, 0, 0]]) >>> a[1,1] array([[0, 0, 0], [0, 4, 0], [0, 0, 0]]) >>> a[2,2] array([[0, 0, 0], [0, 0, 0], [0, 0, 4]]) See also -------- - diag_indices: indices to access diagonals given shape information. - diag_indices_from: indices to access diagonals given an array. """ if a.ndim < 2: raise ValueError("array must be at least 2-d") if a.ndim == 2: # Explicit, fast formula for the common case. For 2-d arrays, we # accept rectangular ones. step = a.shape[1] + 1 else: # For more than d=2, the strided formula is only valid for arrays with # all dimensions equal, so we check first. if not np.alltrue(np.diff(a.shape) == 0): raise ValueError("All dimensions of input must be of equal length") step = np.cumprod((1,) + a.shape[:-1]).sum() # Write the value out into the diagonal. a.flat[::step] = val def diag_indices(n, ndim=2): """Return the indices to access the main diagonal of an array. This returns a tuple of indices that can be used to access the main diagonal of an array with ndim (>=2) dimensions and shape (n,n,...,n). For ndim=2 this is the usual diagonal, for ndim>2 this is the set of indices to access A[i,i,...,i] for i=[0..n-1]. Parameters ---------- n : int The size, along each dimension, of the arrays for which the returned indices can be used. ndim : int, optional The number of dimensions Examples -------- Create a set of indices to access the diagonal of a (4,4) array: >>> di = diag_indices(4) >>> a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]) >>> a array([[ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16]]) >>> a[di] = 100 >>> a array([[100, 2, 3, 4], [ 5, 100, 7, 8], [ 9, 10, 100, 12], [ 13, 14, 15, 100]]) Now, we create indices to manipulate a 3-d array: >>> d3 = diag_indices(2,3) And use it to set the diagonal of a zeros array to 1: >>> a = np.zeros((2,2,2),int) >>> a[d3] = 1 >>> a array([[[1, 0], [0, 0]], [[0, 0], [0, 1]]]) See also -------- - diag_indices_from: create the indices based on the shape of an existing array. """ idx = np.arange(n) return (idx,) * ndim def diag_indices_from(arr): """Return the indices to access the main diagonal of an n-dimensional array. See diag_indices() for full details. Parameters ---------- arr : array, at least 2-d """ if not arr.ndim >= 2: raise ValueError("input array must be at least 2-d") # For more than d=2, the strided formula is only valid for arrays with # all dimensions equal, so we check first. if not np.alltrue(np.diff(arr.shape) == 0): raise ValueError("All dimensions of input must be of equal length") return diag_indices(arr.shape[0], arr.ndim) def mask_indices(n, mask_func, k=0): """Return the indices to access (n,n) arrays, given a masking function. Assume mask_func() is a function that, for a square array a of size (n,n) with a possible offset argument k, when called as mask_func(a,k) returns a new array with zeros in certain locations (functions like triu() or tril() do precisely this). Then this function returns the indices where the non-zero values would be located. Parameters ---------- n : int The returned indices will be valid to access arrays of shape (n,n). mask_func : callable A function whose api is similar to that of numpy.tri{u,l}. That is, mask_func(x,k) returns a boolean array, shaped like x. k is an optional argument to the function. k : scalar An optional argument which is passed through to mask_func(). Functions like tri{u,l} take a second argument that is interpreted as an offset. Returns ------- indices : an n-tuple of index arrays. The indices corresponding to the locations where mask_func(ones((n,n)),k) is True. Examples -------- These are the indices that would allow you to access the upper triangular part of any 3x3 array: >>> iu = mask_indices(3,np.triu) For example, if `a` is a 3x3 array: >>> a = np.arange(9).reshape(3,3) >>> a array([[0, 1, 2], [3, 4, 5], [6, 7, 8]]) Then: >>> a[iu] array([0, 1, 2, 4, 5, 8]) An offset can be passed also to the masking function. This gets us the indices starting on the first diagonal right of the main one: >>> iu1 = mask_indices(3,np.triu,1) with which we now extract only three elements: >>> a[iu1] array([1, 2, 5]) """ m = np.ones((n, n), int) a = mask_func(m, k) return np.where(a != 0) def tril_indices(n, k=0): """Return the indices for the lower-triangle of an (n,n) array. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see tril() for details). Examples -------- Commpute two different sets of indices to access 4x4 arrays, one for the lower triangular part starting at the main diagonal, and one starting two diagonals further right: >>> il1 = tril_indices(4) >>> il2 = tril_indices(4,2) Here is how they can be used with a sample array: >>> a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]) >>> a array([[ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16]]) Both for indexing: >>> a[il1] array([ 1, 5, 6, 9, 10, 11, 13, 14, 15, 16]) And for assigning values: >>> a[il1] = -1 >>> a array([[-1, 2, 3, 4], [-1, -1, 7, 8], [-1, -1, -1, 12], [-1, -1, -1, -1]]) These cover almost the whole array (two diagonals right of the main one): >>> a[il2] = -10 >>> a array([[-10, -10, -10, 4], [-10, -10, -10, -10], [-10, -10, -10, -10], [-10, -10, -10, -10]]) See also -------- - triu_indices : similar function, for upper-triangular. - mask_indices : generic function accepting an arbitrary mask function. """ return mask_indices(n, np.tril, k) def tril_indices_from(arr, k=0): """Return the indices for the lower-triangle of an (n,n) array. See tril_indices() for full details. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see tril() for details). """ if not arr.ndim == 2 and arr.shape[0] == arr.shape[1]: raise ValueError("input array must be 2-d and square") return tril_indices(arr.shape[0], k) def triu_indices(n, k=0): """Return the indices for the upper-triangle of an (n,n) array. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see triu() for details). Examples -------- Commpute two different sets of indices to access 4x4 arrays, one for the upper triangular part starting at the main diagonal, and one starting two diagonals further right: >>> iu1 = triu_indices(4) >>> iu2 = triu_indices(4,2) Here is how they can be used with a sample array: >>> a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]) >>> a array([[ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16]]) Both for indexing: >>> a[iu1] array([ 1, 2, 3, 4, 6, 7, 8, 11, 12, 16]) And for assigning values: >>> a[iu1] = -1 >>> a array([[-1, -1, -1, -1], [ 5, -1, -1, -1], [ 9, 10, -1, -1], [13, 14, 15, -1]]) These cover almost the whole array (two diagonals right of the main one): >>> a[iu2] = -10 >>> a array([[ -1, -1, -10, -10], [ 5, -1, -1, -10], [ 9, 10, -1, -1], [ 13, 14, 15, -1]]) See also -------- - tril_indices : similar function, for lower-triangular. - mask_indices : generic function accepting an arbitrary mask function. """ return mask_indices(n, np.triu, k) def triu_indices_from(arr, k=0): """Return the indices for the lower-triangle of an (n,n) array. See triu_indices() for full details. Parameters ---------- n : int Sets the size of the arrays for which the returned indices will be valid. k : int, optional Diagonal offset (see triu() for details). """ if not arr.ndim == 2 and arr.shape[0] == arr.shape[1]: raise ValueError("input array must be 2-d and square") return triu_indices(arr.shape[0], k) def structured_rand_arr(size, sample_func=np.random.random, ltfac=None, utfac=None, fill_diag=None): """Make a structured random 2-d array of shape (size,size). If no optional arguments are given, a symmetric array is returned. Parameters ---------- size : int Determines the shape of the output array: (size,size). sample_func : function, optional. Must be a function which when called with a 2-tuple of ints, returns a 2-d array of that shape. By default, np.random.random is used, but any other sampling function can be used as long as matches this API. utfac : float, optional Multiplicative factor for the upper triangular part of the matrix. ltfac : float, optional Multiplicative factor for the lower triangular part of the matrix. fill_diag : float, optional If given, use this value to fill in the diagonal. Otherwise the diagonal will contain random elements. Examples -------- >>> np.random.seed(0) # for doctesting >>> np.set_printoptions(precision=4) # for doctesting >>> structured_rand_arr(4) array([[ 0.5488, 0.7152, 0.6028, 0.5449], [ 0.7152, 0.6459, 0.4376, 0.8918], [ 0.6028, 0.4376, 0.7917, 0.5289], [ 0.5449, 0.8918, 0.5289, 0.0871]]) >>> structured_rand_arr(4,ltfac=-10,utfac=10,fill_diag=0.5) array([[ 0.5 , 8.3262, 7.7816, 8.7001], [-8.3262, 0.5 , 4.6148, 7.8053], [-7.7816, -4.6148, 0.5 , 9.4467], [-8.7001, -7.8053, -9.4467, 0.5 ]]) """ # Make a random array from the given sampling function rmat = sample_func((size, size)) # And the empty one we'll then fill in to return out = np.empty_like(rmat) # Extract indices for upper-triangle, lower-triangle and diagonal uidx = triu_indices(size, 1) lidx = tril_indices(size, -1) didx = diag_indices(size) # Extract each part from the original and copy it to the output, possibly # applying multiplicative factors. We check the factors instead of # defaulting to 1.0 to avoid unnecessary floating point multiplications # which could be noticeable for very large sizes. if utfac: out[uidx] = utfac * rmat[uidx] else: out[uidx] = rmat[uidx] if ltfac: out[lidx] = ltfac * rmat.T[lidx] else: out[lidx] = rmat.T[lidx] # If fill_diag was provided, use it; otherwise take the values in the # diagonal from the original random array. if fill_diag is not None: out[didx] = fill_diag else: out[didx] = rmat[didx] return out def symm_rand_arr(size, sample_func=np.random.random, fill_diag=None): """Make a symmetric random 2-d array of shape (size,size). Parameters ---------- n : int Size of the output array. sample_func : function, optional. Must be a function which when called with a 2-tuple of ints, returns a 2-d array of that shape. By default, np.random.random is used, but any other sampling function can be used as long as matches this API. fill_diag : float, optional If given, use this value to fill in the diagonal. Useful for Examples -------- >>> np.random.seed(0) # for doctesting >>> np.set_printoptions(precision=4) # for doctesting >>> symm_rand_arr(4) array([[ 0.5488, 0.7152, 0.6028, 0.5449], [ 0.7152, 0.6459, 0.4376, 0.8918], [ 0.6028, 0.4376, 0.7917, 0.5289], [ 0.5449, 0.8918, 0.5289, 0.0871]]) >>> symm_rand_arr(4,fill_diag=4) array([[ 4. , 0.8326, 0.7782, 0.87 ], [ 0.8326, 4. , 0.4615, 0.7805], [ 0.7782, 0.4615, 4. , 0.9447], [ 0.87 , 0.7805, 0.9447, 4. ]]) """ return structured_rand_arr(size, sample_func, fill_diag=fill_diag) def antisymm_rand_arr(size, sample_func=np.random.random): """Make an anti-symmetric random 2-d array of shape (size,size). Parameters ---------- n : int Size of the output array. sample_func : function, optional. Must be a function which when called with a 2-tuple of ints, returns a 2-d array of that shape. By default, np.random.random is used, but any other sampling function can be used as long as matches this API. Examples -------- >>> np.random.seed(0) # for doctesting >>> np.set_printoptions(precision=4) # for doctesting >>> antisymm_rand_arr(4) array([[ 0. , 0.7152, 0.6028, 0.5449], [-0.7152, 0. , 0.4376, 0.8918], [-0.6028, -0.4376, 0. , 0.5289], [-0.5449, -0.8918, -0.5289, 0. ]]) """ return structured_rand_arr(size, sample_func, ltfac=-1.0, fill_diag=0) # --------brainx utils------------------------------------------------------ # These utils were copied over from brainx - needed for viz def threshold_arr(cmat, threshold=0.0, threshold2=None): """Threshold values from the input array. Parameters ---------- cmat : array threshold : float, optional. First threshold. threshold2 : float, optional. Second threshold. Returns ------- indices, values: a tuple with ndim+1 Examples -------- >>> np.set_printoptions(precision=4) # For doctesting >>> a = np.linspace(0,0.2,5) >>> a array([ 0. , 0.05, 0.1 , 0.15, 0.2 ]) >>> threshold_arr(a,0.1) (array([3, 4]), array([ 0.15, 0.2 ])) With two thresholds: >>> threshold_arr(a,0.1,0.2) (array([0, 1]), array([ 0. , 0.05])) """ # Select thresholds if threshold2 is None: th_low = -np.inf th_hi = threshold else: th_low = threshold th_hi = threshold2 # Mask out the values we are actually going to use idx = np.where((cmat < th_low) | (cmat > th_hi)) vals = cmat[idx] return idx + (vals,) def thresholded_arr(arr, threshold=0.0, threshold2=None, fill_val=np.nan): """Threshold values from the input matrix and return a new matrix. Parameters ---------- arr : array threshold : float First threshold. threshold2 : float, optional. Second threshold. Returns ------- An array shaped like the input, with the values outside the threshold replaced with fill_val. Examples -------- """ a2 = np.empty_like(arr) a2.fill(fill_val) mth = threshold_arr(arr, threshold, threshold2) idx, vals = mth[:-1], mth[-1] a2[idx] = vals return a2 def rescale_arr(arr, amin, amax): """Rescale an array to a new range. Return a new array whose range of values is (amin,amax). Parameters ---------- arr : array-like amin : float new minimum value amax : float new maximum value Examples -------- >>> a = np.arange(5) >>> rescale_arr(a,3,6) array([ 3. , 3.75, 4.5 , 5.25, 6. ]) """ # old bounds m = arr.min() M = arr.max() # scale/offset s = float(amax - amin) / (M - m) d = amin - s * m # Apply clip before returning to cut off possible overflows outside the # intended range due to roundoff error, so that we can absolutely guarantee # that on output, there are no values > amax or < amin. return np.clip(s * arr + d, amin, amax) def minmax_norm(arr, mode='direct', folding_edges=None): """Minmax_norm an array to [0,1] range. By default, this simply rescales the input array to [0,1]. But it has a special 'folding' mode that allows for the normalization of an array with negative and positive values by mapping the negative values to their flipped sign Parameters ---------- arr : 1d array mode : string, one of ['direct','folding'] folding_edges : (float,float) Only needed for folding mode, ignored in 'direct' mode. Examples -------- >>> np.set_printoptions(precision=4) # for doctesting >>> a = np.linspace(0.3,0.8,4) >>> minmax_norm(a) array([ 0. , 0.3333, 0.6667, 1. ]) >>> b = np.concatenate([np.linspace(-0.7,-0.3,3), ... np.linspace(0.3,0.8,3)]) >>> b array([-0.7 , -0.5 , -0.3 , 0.3 , 0.55, 0.8 ]) >>> minmax_norm(b,'folding',[-0.3,0.3]) array([ 0.8, 0.4, 0. , 0. , 0.5, 1. ]) """ if mode == 'direct': return rescale_arr(arr, 0, 1) else: fa, fb = folding_edges amin, amax = arr.min(), arr.max() ra, rb = float(fa - amin), float(amax - fb) # in case inputs are ints if ra < 0 or rb < 0: raise ValueError("folding edges must be within array range") greater = arr >= fb upper_idx = greater.nonzero() lower_idx = (~greater).nonzero() # Two folding scenarios, we map the thresholds to zero but the upper # ranges must retain comparability. if ra > rb: lower = 1.0 - rescale_arr(arr[lower_idx], 0, 1.0) upper = rescale_arr(arr[upper_idx], 0, float(rb) / ra) else: upper = rescale_arr(arr[upper_idx], 0, 1) # The lower range is trickier: we need to rescale it and then flip # it, so the edge goes to 0. resc_a = float(ra) / rb lower = rescale_arr(arr[lower_idx], 0, resc_a) lower = resc_a - lower # Now, make output array out = np.empty_like(arr) out[lower_idx] = lower out[upper_idx] = upper return out #---------- intersect coords ---------------------------------------------- def intersect_coords(coords1, coords2): """For two sets of coordinates, find the coordinates that are common to both, where the dimensionality is the coords1.shape[0]""" # Find the longer one if coords1.shape[-1] > coords2.shape[-1]: coords_long = coords1 coords_short = coords2 else: coords_long = coords2 coords_short = coords1 ans = np.array([[], [], []], dtype='int') # Initialize as a 3 row variable # Loop over the longer of the coordinate sets for i in range(coords_long.shape[-1]): # For each coordinate: this_coords = coords_long[:, i] # Find the matches in the other set of coordinates: x = np.where(coords_short[0, :] == this_coords[0])[0] y = np.where(coords_short[1, :] == this_coords[1])[0] z = np.where(coords_short[2, :] == this_coords[2])[0] # Use intersect1d, such that there can be more than one match (and the # size of idx will reflect how many such matches exist): idx = np.intersect1d(np.intersect1d(x, y), z) # Append the places where there are matches in all three dimensions: if len(idx): ans = np.hstack([ans, coords_short[:, idx]]) return ans #---------- Time Series Stats ---------------------------------------- def zscore(time_series, axis=-1): """Returns the z-score of each point of the time series along a given axis of the array time_series. Parameters ---------- time_series : ndarray an array of time series axis : int, optional the axis of time_series along which to compute means and stdevs Returns _______ zt : ndarray the renormalized time series array """ time_series = np.asarray(time_series) et = time_series.mean(axis=axis) st = time_series.std(axis=axis) sl = [slice(None)] * len(time_series.shape) sl[axis] = np.newaxis zt = time_series - et[tuple(sl)] zt /= st[tuple(sl)] return zt def percent_change(ts, ax=-1): """Returns the % signal change of each point of the times series along a given axis of the array time_series Parameters ---------- ts : ndarray an array of time series ax : int, optional (default to -1) the axis of time_series along which to compute means and stdevs Returns ------- ndarray the renormalized time series array (in units of %) Examples -------- >>> ts = np.arange(4*5).reshape(4,5) >>> ax = 0 >>> percent_change(ts,ax) array([[-100. , -88.2353, -78.9474, -71.4286, -65.2174], [ -33.3333, -29.4118, -26.3158, -23.8095, -21.7391], [ 33.3333, 29.4118, 26.3158, 23.8095, 21.7391], [ 100. , 88.2353, 78.9474, 71.4286, 65.2174]]) >>> ax = 1 >>> percent_change(ts,ax) array([[-100. , -50. , 0. , 50. , 100. ], [ -28.5714, -14.2857, 0. , 14.2857, 28.5714], [ -16.6667, -8.3333, 0. , 8.3333, 16.6667], [ -11.7647, -5.8824, 0. , 5.8824, 11.7647]]) """ ts = np.asarray(ts) return (ts / np.expand_dims(np.mean(ts, ax), ax) - 1) * 100 #----------Event-related analysis utils ---------------------------------- def fir_design_matrix(events, len_hrf): """Create a FIR event matrix from a time-series of events. Parameters ---------- events : 1-d int array Integers denoting different kinds of events, occurring at the time corresponding to the bin represented by each slot in the array. In time-bins in which no event occurred, a 0 should be entered. If negative event values are entered, they will be used as "negative" events, as in events that should be contrasted with the postitive events (typically -1 and 1 can be used for a simple contrast of two conditions) len_hrf : int The expected length of the HRF (in the same time-units as the events are represented (presumably TR). The size of the block dedicated in the fir_matrix to each type of event Returns ------- fir_matrix : matrix The design matrix for FIR estimation """ event_types = np.unique(events)[np.unique(events) != 0] fir_matrix = np.zeros((events.shape[0], len_hrf * event_types.shape[0])) for t in event_types: idx_h_a = (np.array(np.where(event_types == t)[0]) * len_hrf)[0] idx_h_b = idx_h_a + len_hrf idx_v = np.where(events == t)[0] for idx_v_a in idx_v: idx_v_b = idx_v_a + len_hrf fir_matrix[idx_v_a:idx_v_b, idx_h_a:idx_h_b] += (np.eye(len_hrf) * np.sign(t)) return fir_matrix #---------- MAR utilities ---------------------------------------- # These utilities are used in the computation of multivariate autoregressive # models (used in computing Granger causality): def crosscov_vector(x, y, nlags=None): r""" This method computes the following function .. math:: R_{xy}(k) = E{ x(t)y^{*}(t-k) } = E{ x(t+k)y^{*}(t) } k \in {0, 1, ..., nlags-1} (* := conjugate transpose) Note: This is related to the other commonly used definition for vector crosscovariance .. math:: R_{xy}^{(2)}(k) = E{ x(t-k)y^{*}(t) } = R_{xy}^(-k) = R_{yx}^{*}(k) Parameters ---------- x, y : ndarray (nc, N) nlags : int, optional compute lags for k in {0, ..., nlags-1} Returns ------- rxy : ndarray (nc, nc, nlags) """ N = x.shape[1] if nlags is None: nlags = N nc = x.shape[0] rxy = np.empty((nc, nc, nlags)) # rxy(k) = E{ x(t)y*(t-k) } ( * = conj transpose ) # Take the expectation over an outer-product # between x(t) and conj{y(t-k)} for each t for k in range(nlags): # rxy(k) = E{ x(t)y*(t-k) } prod = x[:, None, k:] * y[None, :, :N - k].conj() ## # rxy(k) = E{ x(t)y*(t+k) } ## prod = x[:,None,:N-k] * y[None,:,k:].conj() # Do a sample mean of N-k pts? or sum and divide by N? rxy[..., k] = prod.mean(axis=-1) return rxy def autocov_vector(x, nlags=None): r""" This method computes the following function .. math:: R_{xx}(k) = E{ x(t)x^{*}(t-k) } = E{ x(t+k)x^{*}(t) } k \in {0, 1, ..., nlags-1} (* := conjugate transpose) Note: this is related to the other commonly used definition for vector autocovariance .. math:: R_{xx}^{(2)}(k) = E{ x(t-k)x^{*}(t) } = R_{xx}(-k) = R_{xx}^{*}(k) Parameters ---------- x : ndarray (nc, N) nlags : int, optional compute lags for k in {0, ..., nlags-1} Returns ------- rxx : ndarray (nc, nc, nlags) """ return crosscov_vector(x, x, nlags=nlags) def generate_mar(a, cov, N): """ Generates a multivariate autoregressive dataset given the formula: X(t) + sum_{i=1}^{P} a(i)X(t-i) = E(t) Where E(t) is a vector of samples from possibly covarying noise processes. Parameters ---------- a : ndarray (n_order, n_c, n_c) An order n_order set of coefficient matrices, each shaped (n_c, n_c) for n_channel data cov : ndarray (n_c, n_c) The innovations process covariance N : int how many samples to generate Returns ------- mar, nz mar and noise process shaped (n_c, N) """ n_c = cov.shape[0] n_order = a.shape[0] nz = np.random.multivariate_normal( np.zeros(n_c), cov, size=(N,) ) # nz is a (N x n_seq) array mar = nz.copy() # np.zeros((N, n_seq), 'd') # this looks like a redundant loop that can be rolled into a matrix-matrix # multiplication at each coef matrix a(i) # this rearranges the equation to read: # X(i) = E(i) - sum_{j=1}^{P} a(j)X(i-j) # where X(n) n < 0 is taken to be 0 # In terms of the code: X is mar and E is nz, P is n_order for i in range(N): for j in range(min(i, n_order)): # j logically in set {1, 2, ..., P} mar[i, :] -= np.dot(a[j], mar[i - j - 1, :]) return mar.transpose(), nz.transpose() #----------goodness of fit utilities ---------------------------------------- def akaike_information_criterion(ecov, p, m, Ntotal, corrected=False): """ A measure of the goodness of fit of an auto-regressive model based on the model order and the error covariance. Parameters ---------- ecov : float array The error covariance of the system p the number of channels m : int the model order Ntotal the number of total time-points (across channels) corrected : boolean (optional) Whether to correct for small sample size Returns ------- AIC : float The value of the AIC Notes ----- This is an implementation of equation (50) in Ding et al. (2006): M Ding and Y Chen and S Bressler (2006) Granger Causality: Basic Theory and Application to Neuroscience. http://arxiv.org/abs/q-bio/0608035v1 Correction for small sample size is taken from: http://en.wikipedia.org/wiki/Akaike_information_criterion. """ AIC = (2 * (np.log(linalg.det(ecov))) + ((2 * (p ** 2) * m) / (Ntotal))) if corrected: return AIC + (2 * m * (m + 1)) / (Ntotal - m - 1) else: return AIC def bayesian_information_criterion(ecov, p, m, Ntotal): r"""The Bayesian Information Criterion, also known as the Schwarz criterion is a measure of goodness of fit of a statistical model, based on the number of model parameters and the likelihood of the model Parameters ---------- ecov : float array The error covariance of the system p : int the system size (how many variables). m : int the model order. corrected : boolean (optional) Whether to correct for small sample size Returns ------- BIC : float The value of the BIC a the resulting autocovariance vector Notes ----- This is an implementation of equation (51) in Ding et al. (2006): .. math :: BIC(m) = 2 log(|\Sigma|) + \frac{2p^2 m log(N_{total})}{N_{total}}, where $\Sigma$ is the noise covariance matrix. In auto-regressive model estimation, this matrix will contain in $\Sigma_{i,j}$ the residual variance in estimating time-series $i$ from $j$, $p$ is the dimensionality of the data, $m$ is the number of parameters in the model and $N_{total}$ is the number of time-points. M Ding and Y Chen and S Bressler (2006) Granger Causality: Basic Theory and Application to Neuroscience. http://arxiv.org/abs/q-bio/0608035v1 See http://en.wikipedia.org/wiki/Schwarz_criterion """ BIC = (2 * (np.log(linalg.det(ecov))) + ((2 * (p ** 2) * m * np.log(Ntotal)) / (Ntotal))) return BIC nitime-rel-0.8.1/nitime/version.py000066400000000000000000000067411350450615100171210ustar00rootroot00000000000000"""nitime version/release information""" # Format expected by setup.py and doc/source/conf.py: string of form "X.Y.Z" _version_major = 0 _version_minor = 8 _version_micro = 1 # use '' for first of series, number for 1 and above # _version_extra = 'dev' _version_extra = '' # Uncomment this for full releases # Construct full version string from these. _ver = [_version_major, _version_minor] if _version_micro: _ver.append(_version_micro) if _version_extra: _ver.append(_version_extra) __version__ = '.'.join(map(str, _ver)) CLASSIFIERS = ["Development Status :: 3 - Alpha", "Environment :: Console", "Intended Audience :: Science/Research", "License :: OSI Approved :: BSD License", "Operating System :: OS Independent", "Programming Language :: Python", "Topic :: Scientific/Engineering"] description = "Nitime: timeseries analysis for neuroscience data" # Note: this long_description is actually a copy/paste from the top-level # README.txt, so that it shows up nicely on PyPI. So please remember to edit # it only in one place and sync it correctly. long_description = """ =================================================== Nitime: timeseries analysis for neuroscience data =================================================== Nitime is library of tools and algorithms for the analysis of time-series data from neuroscience experiments. It contains a implementation of numerical algorithms for time-series analysis both in the time and spectral domains, a set of container objects to represent time-series, and auxiliary objects that expose a high level interface to the numerical machinery and make common analysis tasks easy to express with compact and semantically clear code. Website and mailing list ======================== Current information can always be found at the nitime `website`_. Questions and comments can be directed to the mailing `list`_. .. _website: http://nipy.org/nitime .. _list: http://mail.scipy.org/mailman/listinfo/nipy-devel Code ==== You can find our sources and single-click downloads: * `Main repository`_ on Github. * Documentation_ for all releases and current development tree. * Download as a tar/zip file the `current trunk`_. * Downloads of all `available releases`_. .. _main repository: http://github.com/nipy/nitime .. _Documentation: http://nipy.org/nitime .. _current trunk: http://github.com/nipy/nitime/archives/master .. _available releases: http://github.com/nipy/nitime/downloads License information =================== Nitime is licensed under the terms of the new BSD license. See the file "LICENSE" for information on the history of this software, terms & conditions for usage, and a DISCLAIMER OF ALL WARRANTIES. All trademarks referenced herein are property of their respective holders. Copyright (c) 2006-2016, NIPY Developers All rights reserved. """ NAME = "nitime" MAINTAINER = "Nipy Developers" MAINTAINER_EMAIL = "nipy-devel@neuroimaging.scipy.org" DESCRIPTION = description LONG_DESCRIPTION = long_description URL = "http://nipy.org/nitime" DOWNLOAD_URL = "http://github.com/nipy/nitime/downloads" LICENSE = "Simplified BSD" AUTHOR = "Nitime developers" AUTHOR_EMAIL = "nipy-devel@neuroimaging.scipy.org" PLATFORMS = "OS Independent" MAJOR = _version_major MINOR = _version_minor MICRO = _version_micro VERSION = __version__ PACKAGE_DATA = {"nitime": ["LICENSE", "tests/*.txt", "tests/*.npy", "data/*.nii.gz", "data/*.txt", "data/*.csv"]} nitime-rel-0.8.1/nitime/viz.py000066400000000000000000001270431350450615100162430ustar00rootroot00000000000000"""Tools for visualization of time-series data. Depends on matplotlib. Some functions depend also on networkx """ from __future__ import print_function # If you are running nosetests right now, you might want to use 'agg' as a backend: import sys from nitime.six.moves import map from nitime.six.moves import zip # Then do all the rest of it: import numpy as np from scipy import fftpack import matplotlib as mpl from matplotlib import pyplot as plt import matplotlib.ticker as ticker import matplotlib.colors as colors from mpl_toolkits.axes_grid1 import make_axes_locatable from nitime import timeseries as ts import nitime.utils as tsu from nitime.utils import threshold_arr, minmax_norm, rescale_arr import nitime.analysis as nta # Matplotlib 1.3 has a bug in it, so if that's what you have, we'll replace it # for you with a fixed version of that module: import matplotlib if matplotlib.__version__[:3] == '1.3' or matplotlib.__version__[:3] == '1.4': import nitime._mpl_units as mpl_units import matplotlib.axis as ax ax.munits = mpl_units from nitime.utils import triu_indices #Some visualization functions require networkx. Import that if possible: try: import networkx as nx #If not, throw an error and get on with business: except ImportError: e_s = "Networkx is not available. Some visualization tools might not work" e_s += "\n To download networkx: http://networkx.lanl.gov/" print(e_s) class NetworkxNotInstalled(object): def __getattribute__(self, x): raise ImportError(e_s) nx = NetworkxNotInstalled() def plot_tseries(time_series, fig=None, axis=0, xticks=None, xunits=None, yticks=None, yunits=None, xlabel=None, ylabel=None, yerror=None, error_alpha=0.1, time_unit=None, **kwargs): """plot a timeseries object Arguments --------- time_series: a nitime time-series object fig: a figure handle, opens a new figure if None subplot: an axis number (if there are several in the figure to be opened), defaults to 0. xticks: optional, list, specificies what values to put xticks on. Defaults to the matlplotlib-generated. yticks: optional, list, specificies what values to put xticks on. Defaults to the matlplotlib-generated. xlabel: optional, list, specificies what labels to put on xticks ylabel: optional, list, specificies what labels to put on yticks yerror: optional, UniformTimeSeries with the same sampling_rate and number of samples and channels as time_series, the error will be displayed as a shading above and below the plotted time-series """ if fig is None: fig = plt.figure() if not fig.get_axes(): ax = fig.add_subplot(1, 1, 1) else: ax = fig.get_axes()[axis] #Make sure that time displays on the x axis with the units you want: #If you want to change the time-unit on the visualization from that used to #represent the time-series: if time_unit is not None: tu = time_unit conv_fac = ts.time_unit_conversion[time_unit] #Otherwise, get the information from your input: else: tu = time_series.time_unit conv_fac = time_series.time._conversion_factor this_time = time_series.time / float(conv_fac) ax.plot(this_time, time_series.data.T, **kwargs) if xlabel is None: ax.set_xlabel('Time (%s)' % tu) else: ax.set_xlabel(xlabel) if ylabel is not None: ax.set_ylabel(ylabel) if yerror is not None: if len(yerror.data.shape) == 1: this_e = yerror.data[np.newaxis, :] else: this_e = yerror.data delta = this_e e_u = time_series.data + delta e_d = time_series.data - delta for i in range(e_u.shape[0]): ax.fill_between(this_time, e_d[i], e_u[i], alpha=error_alpha) return fig def matshow_tseries(time_series, fig=None, axis=0, xtick_n=5, time_unit=None, xlabel=None, ylabel=None): """Creates an image of the time-series, ordered according to the first dimension of the time-series object Parameters ---------- time_series: a nitime time-series object fig: a figure handle, opens a new figure if None axis: an axis number (if there are several in the figure to be opened), defaults to 0. xtick_n: int, optional, sets the number of ticks to be placed on the x axis """ if fig is None: fig = plt.figure() if not fig.get_axes(): ax = fig.add_subplot(1, 1, 1) else: ax = fig.get_axes()[axis] #Make sure that time displays on the x axis with the units you want: #If you want to change the time-unit on the visualization from that used to #represent the time-series: if time_unit is not None: tu = time_unit conv_fac = ts.time_unit_conversion[time_unit] #Otherwise, get the information from your input: else: tu = time_series.time_unit conv_fac = time_series.time._conversion_factor this_time = time_series.time / float(conv_fac) ax.matshow(time_series.data) ax.set_xticks(list(range(len(this_time)))[::len(this_time) / xtick_n]) ax.set_xticklabels(this_time[::len(this_time) / xtick_n]) if xlabel is None: ax.set_xlabel('Time (%s)' % tu) else: ax.set_xlabel(xlabel) if ylabel is not None: ax.set_ylabel(ylabel) return fig ## Helper functions for matshow_roi and for drawgraph_roi, in order to get the ## right cmap for the colorbar: ##Currently not used at all - should they be removed? def rgb_to_dict(value, cmap): return dict(zip(('red', 'green', 'blue', 'alpha'), cmap(value))) def subcolormap(xmin, xmax, cmap): '''Returns the part of cmap between xmin, xmax, scaled to 0,1.''' assert xmin < xmax assert xmax <= 1 cd = cmap._segmentdata.copy() colornames = ('red', 'green', 'blue') rgbmin, rgbmax = rgb_to_dict(xmin, cmap), rgb_to_dict(xmax, cmap) for k in cd: tmp = [x for x in cd[k] if x[0] >= xmin and x[0] <= xmax] if tmp == [] or tmp[0][0] > xmin: tmp = [(xmin, rgbmin[k], rgbmin[k])] + tmp if tmp == [] or tmp[-1][0] < xmax: tmp = tmp + [(xmax, rgbmax[k], rgbmax[k])] #now scale all this to (0,1) square = list(zip(*tmp)) xbreaks = [(x - xmin) / (xmax - xmin) for x in square[0]] square[0] = xbreaks tmp = list(zip(*square)) cd[k] = tmp return colors.LinearSegmentedColormap('local', cd, N=256) def drawmatrix_channels(in_m, channel_names=None, fig=None, x_tick_rot=0, size=None, cmap=plt.cm.RdBu_r, colorbar=True, color_anchor=None, title=None): r"""Creates a lower-triangle of the matrix of an nxn set of values. This is the typical format to show a symmetrical bivariate quantity (such as correlation or coherence between two different ROIs). Parameters ---------- in_m: nxn array with values of relationships between two sets of rois or channels channel_names (optional): list of strings with the labels to be applied to the channels in the input. Defaults to '0','1','2', etc. fig (optional): a matplotlib figure cmap (optional): a matplotlib colormap to be used for displaying the values of the connections on the graph title (optional): string to title the figure (can be like '$\alpha$') color_anchor (optional): determine the mapping from values to colormap if None, min and max of colormap correspond to min and max of in_m if 0, min and max of colormap correspond to max of abs(in_m) if (a,b), min and max of colormap correspond to (a,b) Returns ------- fig: a figure object """ N = in_m.shape[0] ind = np.arange(N) # the evenly spaced plot indices def channel_formatter(x, pos=None): thisind = np.clip(int(x), 0, N - 1) return channel_names[thisind] if fig is None: fig = plt.figure() if size is not None: fig.set_figwidth(size[0]) fig.set_figheight(size[1]) w = fig.get_figwidth() h = fig.get_figheight() ax_im = fig.add_subplot(1, 1, 1) # If you want to draw the colorbar: if colorbar: divider = make_axes_locatable(ax_im) ax_cb = divider.new_vertical(size="10%", pad=0.1, pack_start=True) fig.add_axes(ax_cb) # Make a copy of the input, so that you don't make changes to the original # data provided m = in_m.copy() # Null the upper triangle, so that you don't get the redundant and the # diagonal values: idx_null = triu_indices(m.shape[0]) m[idx_null] = np.nan # Extract the minimum and maximum values for scaling of the # colormap/colorbar: max_val = np.nanmax(m) min_val = np.nanmin(m) if color_anchor is None: color_min = min_val color_max = max_val elif color_anchor == 0: bound = max(abs(max_val), abs(min_val)) color_min = -bound color_max = bound else: color_min = color_anchor[0] color_max = color_anchor[1] # The call to imshow produces the matrix plot: im = ax_im.imshow(m, origin='upper', interpolation='nearest', vmin=color_min, vmax=color_max, cmap=cmap) # Formatting: ax = ax_im ax.grid(True) # Label each of the cells with the row and the column: if channel_names is not None: for i in range(0, m.shape[0]): if i < (m.shape[0] - 1): ax.text(i - 0.3, i, channel_names[i], rotation=x_tick_rot) if i > 0: ax.text(-1, i + 0.3, channel_names[i], horizontalalignment='right') ax.set_axis_off() ax.set_xticks(np.arange(N)) ax.xaxis.set_major_formatter(ticker.FuncFormatter(channel_formatter)) fig.autofmt_xdate(rotation=x_tick_rot) ax.set_yticks(np.arange(N)) ax.set_yticklabels(channel_names) ax.set_ybound([-0.5, N - 0.5]) ax.set_xbound([-0.5, N - 1.5]) # Make the tick-marks invisible: for line in ax.xaxis.get_ticklines(): line.set_markeredgewidth(0) for line in ax.yaxis.get_ticklines(): line.set_markeredgewidth(0) ax.set_axis_off() if title is not None: ax.set_title(title) # The following produces the colorbar and sets the ticks if colorbar: # Set the ticks - if 0 is in the interval of values, set that, as well # as the maximal and minimal values: if min_val < 0: ticks = [color_min, min_val, 0, max_val, color_max] # Otherwise - only set the minimal and maximal value: else: ticks = [color_min, min_val, max_val, color_max] # This makes the colorbar: cb = fig.colorbar(im, cax=ax_cb, orientation='horizontal', cmap=cmap, norm=im.norm, boundaries=np.linspace(color_min, color_max, 256), ticks=ticks, format='%.2f') # Set the current figure active axis to be the top-one, which is the one # most likely to be operated on by users later on fig.sca(ax) return fig def drawgraph_channels(in_m, channel_names=None, cmap=plt.cm.RdBu_r, node_shapes=None, node_colors=None, title=None, layout=None, threshold=None): """Draw a graph based on the matrix specified in in_m. Wrapper to draw_graph. Parameters ---------- in_m: nxn array with values of relationships between two sets of channels or channels channel_names (optional): list of strings with the labels to be applied to the channels in the input. Defaults to '0','1','2', etc. cmap (optional): a matplotlib colormap to be used for displaying the values of the connections on the graph node_shapes: defaults to circle node_colors: defaults to white, title: str Sets a title for the figure. layout, defaults to nx.circular_layout Returns ------- fig: a figure object Notes ----- The layout of the graph is done using functions from networkx (http://networkx.lanl.gov), which is a dependency of this function """ nnodes = in_m.shape[0] if channel_names is None: node_labels = None # [None]*nnodes else: node_labels = list(channel_names) if node_shapes is None: node_shapes = ['o'] * nnodes if node_colors is None: node_colors = ['w'] * nnodes # Make a copy, avoiding making changes to the original data: m = in_m.copy() # Set the diagonal values to the minimal value of the matrix, so that the # vrange doesn't always get stretched to 1: m[np.arange(nnodes), np.arange(nnodes)] = min(np.nanmin(m), -np.nanmax(m)) range_setter = max(abs(np.nanmin(m)), abs(np.nanmax(m))) vrange = [-range_setter, range_setter] if threshold is None: #If there happens to be an off-diagnoal edge in the adjacency matrix #which is just as small as the minimum, we don't want to drop that one: eps = 10 ** -10 G = mkgraph(m, threshold=vrange[0] - eps, threshold2=None) else: G = mkgraph(m, threshold=threshold[0], threshold2=threshold[1]) fig = draw_graph(G, node_colors=node_colors, node_shapes=node_shapes, node_scale=2, labels=node_labels, edge_cmap=cmap, colorbar=True, vrange=vrange, title=title, stretch_factor=1, edge_alpha=False, layout=layout ) return fig def plot_xcorr(xc, ij, fig=None, line_labels=None, xticks=None, yticks=None, xlabel=None, ylabel=None): """ Visualize the cross-correlation function""" if fig is None: fig = plt.figure() if not fig.get_axes(): ax = fig.add_subplot(1, 1, 1) else: ax = fig.get_axes()[0] if line_labels is not None: #Reverse the order, so that pop() works: line_labels.reverse() this_labels = line_labels #Use the ij input as the labels: else: this_labels = [str(this) for this in ij].reverse() #Make sure that time displays on the x axis with the units you want: conv_fac = xc.time._conversion_factor this_time = xc.time / float(conv_fac) for (i, j) in ij: if this_labels is not None: #Use pop() to get the first one and remove it: ax.plot(this_time, xc.data[i, j].squeeze(), label=this_labels.pop()) else: ax.plot(this_time, xc.data[i, j].squeeze()) ax.set_xlabel('Time(sec)') ax.set_ylabel('Correlation(normalized)') if xlabel is None: #Make sure that time displays on the x axis with the units you want: conv_fac = xc.time._conversion_factor time_label = xc.time / float(conv_fac) ax.set_xlabel('Time (%s)' % xc.time_unit) else: time_label = xlabel ax.set_xlabel(xlabel) if line_labels is not None: plt.legend() if ylabel is None: ax.set_ylabel('Correlation') else: ax.set_ylabel(ylabel) return fig #----------------------------------------------------------------------------- # Functions from brainx: #----------------------------------------------------------------------------- def draw_matrix(mat, th1=None, th2=None, clim=None, cmap=None): """Draw a matrix, optionally thresholding it. """ if th1 is not None: m2 = tsu.thresholded_arr(mat, th1, th2) else: m2 = mat ax = plt.matshow(m2, cmap=cmap) if clim is not None: ax.set_clim(*clim) plt.colorbar() return ax def draw_arrows(G, pos, edgelist=None, ax=None, edge_color='k', alpha=1.0, width=1): """Draw arrows on a set of edges""" if ax is None: ax = plt.gca() if edgelist is None: edgelist = G.edges() if not edgelist or len(edgelist) == 0: # no edges! return # set edge positions edge_pos = np.asarray([(pos[e[0]], pos[e[1]]) for e in edgelist]) arrow_colors = (colors.colorConverter.to_rgba('k', alpha), ) a_pos = [] # Radius of the nodes in world coordinates radius = 0.5 head_length = 0.31 overhang = 0.1 #ipvars('edge_pos') # dbg for src, dst in edge_pos: dd = dst - src nd = np.linalg.norm(dd) if nd == 0: # source and target at same position continue s = 1.0 - radius / nd dd *= s x1, y1 = src dx, dy = dd ax.arrow(x1, y1, dx, dy, lw=width, width=width, head_length=head_length, fc=edge_color, ec='none', alpha=alpha, overhang=overhang) def draw_graph(G, labels=None, node_colors=None, node_shapes=None, node_scale=1.0, edge_style='solid', edge_cmap=None, colorbar=False, vrange=None, layout=None, title=None, font_family='sans-serif', font_size=9, stretch_factor=1.0, edge_alpha=True, fig_size=None): """Draw a weighted graph with options to visualize link weights. The resulting diagram uses the rank of each node as its size, and the weight of each link (after discarding thresholded values, see below) as the link opacity. It maps edge weight to color as well as line opacity and thickness, allowing the color part to be hardcoded over a value range (to permit valid cross-figure comparisons for different graphs, so the same color corresponds to the same link weight even if each graph has a different range of weights). The nodes sizes are proportional to their degree, computed as the sum of the weights of all their links. The layout defaults to circular, but any nx layout function can be passed in, as well as a statically precomputed layout. Parameters ---------- G : weighted graph The values must be of the form (v1,v2), with all v2 in [0,1]. v1 are used for colors, v2 for thickness/opacity. labels : list or dict, optional. An indexable object that maps nodes to strings. If not given, the string form of each node is used as a label. If False, no labels are drawn. node_colors : list or dict, optional. An indexable object that maps nodes to valid matplotlib color specs. See matplotlib's plot() function for details. node_shapes : list or dict, optional. An indexable object that maps nodes to valid matplotlib shape specs. See matplotlib's scatter() function for details. If not given, circles are used. node_scale : float, optional A scale factor to globally stretch or shrink all nodes symbols by. edge_style : string, optional Line style for the edges, defaults to 'solid'. edge_cmap : matplotlib colormap, optional. A callable that returns valid color specs, like matplotlib colormaps. If not given, edges are colored black. colorbar : bool If true, automatically add a colorbar showing the mapping of graph weight values to colors. vrange : pair of floats If given, this indicates the total range of values that the weights can in principle occupy, and is used to set the lower/upper range of the colormap. This allows you to set the range of multiple different figures to the same values, even if each individual graph has range variations, so that visual color comparisons across figures are valid. layout : function or layout dict, optional A NetworkX-like layout function or the result of a precomputed layout for the given graph. NetworkX produces layouts as dicts keyed by nodes and with (x,y) pairs of coordinates as values, any function that produces this kind of output is acceptable. Defaults to nx.circular_layout. title : string, optional. If given, title to put on the main plot. font_family : string, optional. Font family used for the node labels and title. font_size : int, optional. Font size used for the node labels and title. stretch_factor : float, optional A global scaling factor to make the graph larger (or smaller if <1). This can be used to separate the nodes if they start overlapping. edge_alpha: bool, optional Whether to weight the transparency of each edge by a factor equivalent to its relative weight fig_size: list of height by width, the size of the figure (in inches). Defaults to [6,6] Returns ------- fig The matplotlib figure object with the plot. """ if fig_size is None: figsize = [6, 6] scaler = figsize[0] / 6. # For the size of the node symbols node_size_base = 1000 * scaler node_min_size = 200 * scaler default_node_shape = 'o' # Default colors if none given default_node_color = 'r' default_edge_color = 'k' # Max edge width max_width = 13 * scaler min_width = 2 * scaler font_family = 'sans-serif' # We'll use the nodes a lot, let's make a numpy array of them nodes = np.array(sorted(G.nodes())) nnod = len(nodes) # Build a 'weighted degree' array obtained by adding the (absolute value) # of the weights for all edges pointing to each node: amat = nx.adj_matrix(G).A # get a normal array out of it degarr = abs(amat).sum(0) # weights are sums across rows # Map the degree to the 0-1 range so we can use it for sizing the nodes. try: odegree = rescale_arr(degarr, 0, 1) # Make an array of node sizes based on node degree node_sizes = odegree * node_size_base + node_min_size except ZeroDivisionError: # All nodes same size node_sizes = np.empty(nnod, float) node_sizes.fill(0.5 * node_size_base + node_min_size) # Adjust node size list. We square the scale factor because in mpl, node # sizes represent area, not linear size, but it's more intuitive for the # user to think of linear factors (the overall figure scale factor is also # linear). node_sizes *= node_scale ** 2 # Set default node properties if node_colors is None: node_colors = [default_node_color] * nnod if node_shapes is None: node_shapes = [default_node_shape] * nnod # Set default edge colormap if edge_cmap is None: # Make an object with the colormap API, that maps all input values to # the default color (with proper alhpa) edge_cmap = (lambda val, alpha: colors.colorConverter.to_rgba(default_edge_color, alpha)) # if vrange is None, we set the color range from the values, else the user # can specify it # e[2] is edge value: edges_iter returns (i,j,data) gvals = np.array([e[2]['weight'] for e in G.edges(data=True)]) gvmin, gvmax = gvals.min(), gvals.max() gvrange = gvmax - gvmin if vrange is None: vrange = gvmin, gvmax # Now, construct the normalization for the colormap cnorm = mpl.colors.Normalize(vmin=vrange[0], vmax=vrange[1]) # Create the actual plot where the graph will be displayed figsize = np.array(figsize, float) figsize *= stretch_factor fig = plt.figure(figsize=figsize) ax_graph = fig.add_subplot(1, 1, 1) fig.sca(ax_graph) if layout is None: layout = nx.circular_layout # Compute positions for all nodes - nx has several algorithms if callable(layout): pos = layout(G) else: # The user can also provide a precomputed layout pos = layout # Draw nodes for nod in nodes: nx.draw_networkx_nodes(G, pos, nodelist=[nod], node_color=node_colors[nod], node_shape=node_shapes[nod], node_size=node_sizes[nod], edgecolors='k') # Draw edges if not isinstance(G, nx.DiGraph): # Undirected graph, simple lines for edges # We need the size of the value range to properly scale colors vsize = vrange[1] - vrange[0] gvals_normalized = G.metadata['vals_norm'] for (u, v, y) in G.edges(data=True): # The graph value is the weight, and the normalized values are in # [0,1], used for thickness/transparency alpha = gvals_normalized[u, v] # Scale the color choice to the specified vrange, so that ecol = (y['weight'] - vrange[0]) / vsize #print 'u,v:',u,v,'y:',y,'ecol:',ecol # dbg if edge_alpha: fade = alpha else: fade = 1.0 edge_color = [tuple(edge_cmap(ecol, fade))] #dbg: #print u,v,y nx.draw_networkx_edges(G, pos, edgelist=[(u, v)], width=min_width + alpha * max_width, edge_color=edge_color, style=edge_style) else: # Directed graph, use arrows. # XXX - this is currently broken. raise NotImplementedError("arrow drawing currently broken") ## for (u,v,x) in G.edges(data=True): ## y,w = x ## draw_arrows(G,pos,edgelist=[(u,v)], ## edge_color=[w], ## alpha=w, ## edge_cmap=edge_cmap, ## width=w*max_width) # Draw labels. If not given, we use the string form of the nodes. If # labels is False, no labels are drawn. if labels is None: labels = map(str, nodes) if labels: lab_idx = list(range(len(labels))) labels_dict = dict(zip(lab_idx, labels)) nx.draw_networkx_labels(G, pos, labels_dict, font_size=font_size, font_family=font_family) if title: plt.title(title, fontsize=font_size) # Turn off x and y axes labels in pylab plt.xticks([]) plt.yticks([]) # Add a colorbar if requested if colorbar: divider = make_axes_locatable(ax_graph) ax_cb = divider.new_vertical(size="20%", pad=0.2, pack_start=True) fig.add_axes(ax_cb) cb = mpl.colorbar.ColorbarBase(ax_cb, cmap=edge_cmap, norm=cnorm, #boundaries = np.linspace(min((gvmin,0)), # max((gvmax,0)), # 256), orientation='horizontal', format='%.2f') # Always return the MPL figure object so the user can further manipulate it return fig def lab2node(labels, labels_dict): return [labels_dict[ll] for ll in labels] def mkgraph(cmat, threshold=0.0, threshold2=None): """Make a weighted graph object out of an adjacency matrix. The values in the original matrix cmat can be thresholded out. If only one threshold is given, all values below that are omitted when creating edges. If two thresholds are given, then values in the th2-th1 range are omitted. This allows for the easy creation of weighted graphs with positive and negative values where a range of weights around 0 is omitted. Parameters ---------- cmat : 2-d square array Adjacency matrix. threshold : float First threshold. threshold2 : float Second threshold. Returns ------- G : a NetworkX weighted graph object, to which a dictionary called G.metadata is appended. This dict contains the original adjacency matrix cmat, the two thresholds, and the weights """ # Input sanity check nrow, ncol = cmat.shape if nrow != ncol: raise ValueError("Adjacency matrix must be square") row_idx, col_idx, vals = threshold_arr(cmat, threshold, threshold2) # Also make the full thresholded array available in the metadata cmat_th = np.empty_like(cmat) if threshold2 is None: cmat_th.fill(threshold) else: cmat_th.fill(-np.inf) cmat_th[row_idx, col_idx] = vals # Next, make a normalized copy of the values. For the 2-threshold case, we # use 'folding' normalization if threshold2 is None: vals_norm = minmax_norm(vals) else: vals_norm = minmax_norm(vals, 'folding', [threshold, threshold2]) # Now make the actual graph G = nx.Graph(weighted=True) G.add_nodes_from(list(range(nrow))) # To keep the weights of the graph to simple values, we store the # normalize ones in a separate dict that we'll stuff into the graph # metadata. normed_values = {} for i, j, val, nval in zip(row_idx, col_idx, vals, vals_norm): if i == j: # no self-loops continue G.add_edge(i, j, weight=val) normed_values[i, j] = nval # Write a metadata dict into the graph and save the threshold info there G.metadata = dict(threshold1=threshold, threshold2=threshold2, cmat_raw=cmat, cmat_th=cmat_th, vals_norm=normed_values, ) return G def plot_snr(tseries, lb=0, ub=None, fig=None): """ Show the coherence, snr and information of an SNRAnalyzer Parameters ---------- tseries: nitime TimeSeries object Multi-trial data in response to one stimulus/protocol with the dims: (n_channels,n_repetitions,time) lb,ub: float Lower and upper bounds on the frequency range over which to calculate (default to [0,Nyquist]). Returns ------- A tuple containing: fig: a matplotlib figure object This figure displays: 1. Coherence 2. SNR 3. Information """ if fig is None: fig = plt.figure() ax_spectra = fig.add_subplot(1, 2, 1) ax_snr_info = fig.add_subplot(1, 2, 2) A = [] info = [] s_n_r = [] coh = [] noise_spectra = [] signal_spectra = [] #If you only have one channel, make sure that everything still works by #adding an axis if len(tseries.data.shape) < 3: this = tseries.data[np.newaxis, :, :] else: this = tseries.data for i in range(this.shape[0]): A.append(nta.SNRAnalyzer(ts.TimeSeries(this[i], sampling_rate=tseries.sampling_rate))) info.append(A[-1].mt_information) s_n_r.append(A[-1].mt_snr) coh.append(A[-1].mt_coherence) noise_spectra.append(A[-1].mt_noise_psd) signal_spectra.append(A[-1].mt_signal_psd) freqs = A[-1].mt_frequencies lb_idx, ub_idx = tsu.get_bounds(freqs, lb, ub) freqs = freqs[lb_idx:ub_idx] coh_mean = np.mean(coh, 0) snr_mean = np.mean(s_n_r, 0) info_mean = np.mean(info, 0) n_spec_mean = np.mean(noise_spectra, 0) s_spec_mean = np.mean(signal_spectra, 0) ax_spectra.plot(freqs, np.log(s_spec_mean[lb_idx:ub_idx]), label='Signal') ax_spectra.plot(freqs, np.log(n_spec_mean[lb_idx:ub_idx]), label='Noise') ax_spectra.set_xlabel('Frequency (Hz)') ax_spectra.set_ylabel('Spectral power (dB)') ax_snr_info.plot(freqs, snr_mean[lb_idx:ub_idx], label='SNR') ax_snr_info.plot(np.nan, np.nan, 'r', label='Info') ax_snr_info.set_ylabel('SNR') ax_snr_info.set_xlabel('Frequency (Hz)') ax_info = ax_snr_info.twinx() ax_info.plot(freqs, np.cumsum(info_mean[lb_idx:ub_idx]), 'r') ax_info.set_ylabel('Cumulative information rate (bits/sec)') return fig def plot_snr_diff(tseries1, tseries2, lb=0, ub=None, fig=None, ts_names=['1', '2'], bandwidth=None, adaptive=False, low_bias=True): """ Show distributions of differences between two time-series in the amount of snr (freq band by freq band) and information. For example, for comparing two stimulus conditions Parameters ---------- tseries1, tseries2 : nitime TimeSeries objects These are the time-series to compare, with each of them having the dims: (n_channels, n_reps, time), where n_channels1 = n_channels2 lb,ub: float Lower and upper bounds on the frequency range over which to calculate the information rate (default to [0,Nyquist]). fig: matplotlib figure object If you want to do this on already existing figure. Otherwise, a new figure object will be generated. ts_names: list of str Labels for the two inputs, to be used in plotting (defaults to ['1','2']) bandwidth, adaptive, low_bias: See :func:`nta.SNRAnalyzer` for details Returns ------- A tuple containing: fig: a matplotlib figure object This figure displays: 1. The histogram of the information differences between the two time-series 2. The frequency-dependent SNR for the two time-series info1, info2: float arrays The frequency-dependent information rates (in bits/sec) s_n_r1, s_n_r2: float arrays The frequncy-dependent signal-to-noise ratios """ if fig is None: fig = plt.figure() ax_scatter = fig.add_subplot(1, 2, 1) ax_snr = fig.add_subplot(1, 2, 2) SNR1 = [] s_n_r1 = [] info1 = [] SNR2 = [] info2 = [] s_n_r2 = [] #If you only have one channel, make sure that everything still works by #adding an axis if len(tseries1.data.shape) < 3: this1 = tseries1.data[np.newaxis, :, :] this2 = tseries2.data[np.newaxis, :, :] else: this1 = tseries1.data this2 = tseries2.data for i in range(this1.shape[0]): SNR1.append(nta.SNRAnalyzer(ts.TimeSeries(this1[i], sampling_rate=tseries1.sampling_rate), bandwidth=bandwidth, adaptive=adaptive, low_bias=low_bias)) info1.append(SNR1[-1].mt_information) s_n_r1.append(SNR1[-1].mt_snr) SNR2.append(nta.SNRAnalyzer(ts.TimeSeries(this2[i], sampling_rate=tseries2.sampling_rate), bandwidth=bandwidth, adaptive=adaptive, low_bias=low_bias)) info2.append(SNR2[-1].mt_information) s_n_r2.append(SNR2[-1].mt_snr) freqs = SNR1[-1].mt_frequencies lb_idx, ub_idx = tsu.get_bounds(freqs, lb, ub) freqs = freqs[lb_idx:ub_idx] info1 = np.array(info1) info_sum1 = np.sum(info1[:, lb_idx:ub_idx], -1) info2 = np.array(info2) info_sum2 = np.sum(info2[:, lb_idx:ub_idx], -1) ax_scatter.scatter(info_sum1, info_sum2) ax_scatter.errorbar(np.mean(info_sum1), np.mean(info_sum2), yerr=np.std(info_sum2), xerr=np.std(info_sum1)) plot_min = min(min(info_sum1), min(info_sum2)) plot_max = max(max(info_sum1), max(info_sum2)) ax_scatter.plot([plot_min, plot_max], [plot_min, plot_max], 'k--') ax_scatter.set_xlabel('Information %s (bits/sec)' % ts_names[0]) ax_scatter.set_ylabel('Information %s (bits/sec)' % ts_names[1]) snr_mean1 = np.mean(s_n_r1, 0) snr_mean2 = np.mean(s_n_r2, 0) ax_snr.plot(freqs, snr_mean1[lb_idx:ub_idx], label=ts_names[0]) ax_snr.plot(freqs, snr_mean2[lb_idx:ub_idx], label=ts_names[1]) ax_snr.legend() ax_snr.set_xlabel('Frequency (Hz)') ax_snr.set_ylabel('SNR') return fig, info1, info2, s_n_r1, s_n_r2 def plot_corr_diff(tseries1, tseries2, fig=None, ts_names=['1', '2']): """ Show the differences in *Fischer-transformed* snr correlations for two time-series Parameters ---------- tseries1, tseries2 : nitime TimeSeries objects These are the time-series to compare, with each of them having the dims: (n_channels, n_reps, time), where n_channels1 = n_channels2 lb,ub: float Lower and upper bounds on the frequency range over which to calculate the information rate (default to [0,Nyquist]). fig: matplotlib figure object If you want to do this on already existing figure. Otherwise, a new figure object will be generated. ts_names: list of str Labels for the two inputs, to be used in plotting (defaults to ['1','2']) bandwidth, adaptive, low_bias: See :func:`SNRAnalyzer` for details Returns ------- fig: a matplotlib figure object """ if fig is None: fig = plt.figure() ax = fig.add_subplot(1, 1, 1) SNR1 = [] SNR2 = [] corr1 = [] corr2 = [] corr_e1 = [] corr_e2 = [] for i in range(tseries1.shape[0]): SNR1.append(nta.SNRAnalyzer(ts.TimeSeries(tseries1.data[i], sampling_rate=tseries1.sampling_rate))) corr1.append(np.arctanh(np.abs(SNR1[-1].correlation[0]))) corr_e1.append(SNR1[-1].correlation[1]) SNR2.append(nta.SNRAnalyzer(ts.TimeSeries(tseries2.data[i], sampling_rate=tseries2.sampling_rate))) corr2.append(np.arctanh(np.abs(SNR2[-1].correlation[0]))) corr_e2.append(SNR1[-1].correlation[1]) ax.scatter(np.array(corr1), np.array(corr2)) ax.errorbar(np.mean(corr1), np.mean(corr2), yerr=np.std(corr2), xerr=np.std(corr1)) plot_min = min(min(corr1), min(corr2)) plot_max = max(max(corr1), max(corr2)) ax.plot([plot_min, plot_max], [plot_min, plot_max], 'k--') ax.set_xlabel('Correlation (Fischer Z) %s' % ts_names[0]) ax.set_ylabel('Correlation (Fischer Z) %s' % ts_names[1]) return fig, corr1, corr2 def winspect(win, f, name=None): """ Inspect a window by showing it and its spectrum Utility file used in building the documentation """ npts = len(win) ax1, ax2 = f.add_subplot(1, 2, 1), f.add_subplot(1, 2, 2) ax1.plot(win) ax1.set_xlabel('Time') ax1.set_ylabel('Window amplitude') ax1.set_ylim(-0.1, 1.1) ax1.set_xlim(0, npts) wf = fftpack.fft(win) ax1.set_xticks(np.arange(npts / 8., npts, npts / 8.)) toplot = np.abs(fftpack.fftshift(wf).real) toplot /= np.max(toplot) toplot = np.log(toplot) ax2.plot(toplot, label=name) ax2.set_xlim(0, npts) ax2.set_xticks(np.arange(npts / 8., npts, npts / 8.)) ax2.set_xticklabels(np.arange((-1 / 2. + 1 / 8.), 1 / 2., 1 / 8.)) ax2.set_xlabel('Relative frequency') ax2.set_ylabel('Relative attenuation (log scale)') ax2.grid() ax2.legend(loc=4) f.set_size_inches([10, 6]) def plot_spectral_estimate(f, sdf, sdf_ests, limits=None, elabels=()): """ Plot an estimate of a spectral transform against the ground truth. Utility file used in building the documentation """ fig = plt.figure() ax = fig.add_subplot(1, 1, 1) ax_limits = (sdf.min() - 2*np.abs(sdf.min()), sdf.max() + 1.25*np.abs(sdf.max())) ax.plot(f, sdf, 'c', label='True S(f)') if not elabels: elabels = ('',) * len(sdf_ests) colors = 'bgkmy' for e, l, c in zip(sdf_ests, elabels, colors): ax.plot(f, e, color=c, linewidth=2, label=l) if limits is not None: ax.fill_between(f, limits[0], y2=limits[1], color=(1, 0, 0, .3), alpha=0.5) ax.set_ylim(ax_limits) ax.legend() return fig # Patch in a fix to networkx's draw_networkx_nodes # This function is broken in version 1.11, and the fix is a one-line change: # and is the addition of the `**kwds` into the call to `ax.scatter` below. # Without this addition, `scatter` defaults to plot the points with the edge # color set to be the same as the face color, which caused our issue #153 def draw_networkx_nodes(G, pos, nodelist=None, node_size=300, node_color='r', node_shape='o', alpha=1.0, cmap=None, vmin=None, vmax=None, ax=None, linewidths=None, label=None, **kwds): """Draw the nodes of the graph G. This draws only the nodes of the graph G. Parameters ---------- G : graph A networkx graph pos : dictionary A dictionary with nodes as keys and positions as values. Positions should be sequences of length 2. ax : Matplotlib Axes object, optional Draw the graph in the specified Matplotlib axes. nodelist : list, optional Draw only specified nodes (default G.nodes()) node_size : scalar or array Size of nodes (default=300). If an array is specified it must be the same length as nodelist. node_color : color string, or array of floats Node color. Can be a single color format string (default='r'), or a sequence of colors with the same length as nodelist. If numeric values are specified they will be mapped to colors using the cmap and vmin,vmax parameters. See matplotlib.scatter for more details. node_shape : string The shape of the node. Specification is as matplotlib.scatter marker, one of 'so^>v>> G=nx.dodecahedral_graph() >>> nodes=nx.draw_networkx_nodes(G,pos=nx.spring_layout(G)) Also see the NetworkX drawing examples at http://networkx.github.io/documentation/latest/gallery.html See Also -------- draw() draw_networkx() draw_networkx_edges() draw_networkx_labels() draw_networkx_edge_labels() """ try: import matplotlib.pyplot as plt import numpy except ImportError: raise ImportError("Matplotlib required for draw()") except RuntimeError: print("Matplotlib unable to open display") raise if ax is None: ax = plt.gca() if nodelist is None: nodelist = G.nodes() if not nodelist or len(nodelist) == 0: # empty nodelist, no drawing return None try: xy = numpy.asarray([pos[v] for v in nodelist]) except KeyError as e: raise nx.NetworkXError('Node %s has no position.'%e) except ValueError: raise nx.NetworkXError('Bad value in node positions.') node_collection = ax.scatter(xy[:, 0], xy[:, 1], s=node_size, c=node_color, marker=node_shape, cmap=cmap, vmin=vmin, vmax=vmax, alpha=alpha, linewidths=linewidths, label=label, **kwds) node_collection.set_zorder(2) return node_collection nitime-rel-0.8.1/requirements-dev.txt000066400000000000000000000000601350450615100176210ustar00rootroot00000000000000sphinx pytest==3.6.1 pytest-cov nibabel networkxnitime-rel-0.8.1/requirements.txt000066400000000000000000000000571350450615100170530ustar00rootroot00000000000000numpy cython scipy matplotlib networkx nibabel nitime-rel-0.8.1/setup.py000077500000000000000000000034371350450615100153110ustar00rootroot00000000000000#!/usr/bin/env python """Setup file for the Python nitime package.""" import os import sys # 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') from setuptools import find_packages from distutils.core import setup # Get version and release info, which is all stored in nitime/version.py ver_file = os.path.join('nitime', 'version.py') with open(ver_file) as f: exec(f.read()) REQUIRES = [] with open('requirements.txt') as f: ll = f.readline()[:-1] while ll: REQUIRES.append(ll) ll = f.readline()[:-1] PACKAGES = find_packages() opts = dict(name=NAME, maintainer=MAINTAINER, maintainer_email=MAINTAINER_EMAIL, description=DESCRIPTION, long_description=LONG_DESCRIPTION, url=URL, download_url=DOWNLOAD_URL, license=LICENSE, classifiers=CLASSIFIERS, author=AUTHOR, author_email=AUTHOR_EMAIL, platforms=PLATFORMS, version=VERSION, packages=PACKAGES, package_data=PACKAGE_DATA, install_requires=REQUIRES, requires=REQUIRES, ) try: from distutils.extension import Extension from Cython.Distutils import build_ext as build_pyx_ext from numpy import get_include # add Cython extensions to the setup options exts = [Extension('nitime._utils', ['nitime/_utils.pyx'], include_dirs=[get_include()])] opts['cmdclass'] = dict(build_ext=build_pyx_ext) opts['ext_modules'] = exts except ImportError: # no loop for you! pass # Now call the actual setup function if __name__ == '__main__': setup(**opts) nitime-rel-0.8.1/setup_egg.py000066400000000000000000000000621350450615100161170ustar00rootroot00000000000000from setuptools import setup execfile('setup.py') nitime-rel-0.8.1/tools/000077500000000000000000000000001350450615100147255ustar00rootroot00000000000000nitime-rel-0.8.1/tools/apigen.py000066400000000000000000000363251350450615100165530ustar00rootroot00000000000000"""Attempt to generate templates for module reference with Sphinx XXX - we exclude extension modules To include extension modules, first identify them as valid in the ``_uri2path`` method, then handle them in the ``_parse_module`` script. We get functions and classes by parsing the text of .py files. Alternatively we could import the modules for discovery, and we'd have to do that for extension modules. This would involve changing the ``_parse_module`` method to work via import and introspection, and might involve changing ``discover_modules`` (which determines which files are modules, and therefore which module URIs will be passed to ``_parse_module``). NOTE: this is a modified version of a script originally shipped with the PyMVPA project, which we've adapted for NIPY use. PyMVPA is an MIT-licensed project.""" # Stdlib imports import os import re # Functions and classes class ApiDocWriter(object): ''' Class for automatic detection and parsing of API docs to Sphinx-parsable reST format''' # only separating first two levels rst_section_levels = ['*', '=', '-', '~', '^'] def __init__(self, package_name, rst_extension='.rst', package_skip_patterns=None, module_skip_patterns=None, ): ''' Initialize package for parsing Parameters ---------- package_name : string Name of the top-level package. *package_name* must be the name of an importable package rst_extension : string, optional Extension for reST files, default '.rst' package_skip_patterns : None or sequence of {strings, regexps} Sequence of strings giving URIs of packages to be excluded Operates on the package path, starting at (including) the first dot in the package path, after *package_name* - so, if *package_name* is ``sphinx``, then ``sphinx.util`` will result in ``.util`` being passed for earching by these regexps. If is None, gives default. Default is: ['\.tests$'] module_skip_patterns : None or sequence Sequence of strings giving URIs of modules to be excluded Operates on the module name including preceding URI path, back to the first dot after *package_name*. For example ``sphinx.util.console`` results in the string to search of ``.util.console`` If is None, gives default. Default is: ['\.setup$', '\._'] ''' if package_skip_patterns is None: package_skip_patterns = ['\\.tests$'] if module_skip_patterns is None: module_skip_patterns = ['\\.setup$', '\\._'] self.package_name = package_name self.rst_extension = rst_extension self.package_skip_patterns = package_skip_patterns self.module_skip_patterns = module_skip_patterns def get_package_name(self): return self._package_name def set_package_name(self, package_name): ''' Set package_name >>> docwriter = ApiDocWriter('sphinx') >>> import sphinx >>> docwriter.root_path == sphinx.__path__[0] True >>> docwriter.package_name = 'docutils' >>> import docutils >>> docwriter.root_path == docutils.__path__[0] True ''' # It's also possible to imagine caching the module parsing here self._package_name = package_name self.root_module = __import__(package_name) self.root_path = self.root_module.__path__[0] self.written_modules = None package_name = property(get_package_name, set_package_name, None, 'get/set package_name') def _get_object_name(self, line): ''' Get second token in line >>> docwriter = ApiDocWriter('sphinx') >>> docwriter._get_object_name(" def func(): ") 'func' >>> docwriter._get_object_name(" class Klass(object): ") 'Klass' >>> docwriter._get_object_name(" class Klass: ") 'Klass' ''' name = line.split()[1].split('(')[0].strip() # in case we have classes which are not derived from object # ie. old style classes return name.rstrip(':') def _uri2path(self, uri): ''' Convert uri to absolute filepath Parameters ---------- uri : string URI of python module to return path for Returns ------- path : None or string Returns None if there is no valid path for this URI Otherwise returns absolute file system path for URI Examples -------- >>> docwriter = ApiDocWriter('sphinx') >>> import sphinx >>> modpath = sphinx.__path__[0] >>> res = docwriter._uri2path('sphinx.builder') >>> res == os.path.join(modpath, 'builder.py') True >>> res = docwriter._uri2path('sphinx') >>> res == os.path.join(modpath, '__init__.py') True >>> docwriter._uri2path('sphinx.does_not_exist') ''' if uri == self.package_name: return os.path.join(self.root_path, '__init__.py') path = uri.replace('.', os.path.sep) path = path.replace(self.package_name + os.path.sep, '') path = os.path.join(self.root_path, path) # XXX maybe check for extensions as well? if os.path.exists(path + '.py'): # file path += '.py' elif os.path.exists(os.path.join(path, '__init__.py')): path = os.path.join(path, '__init__.py') else: return None return path def _path2uri(self, dirpath): ''' Convert directory path to uri ''' relpath = dirpath.replace(self.root_path, self.package_name) if relpath.startswith(os.path.sep): relpath = relpath[1:] return relpath.replace(os.path.sep, '.') def _parse_module(self, uri): ''' Parse module defined in *uri* ''' filename = self._uri2path(uri) if filename is None: # nothing that we could handle here. return ([],[]) f = open(filename, 'rt') functions, classes = self._parse_lines(f) f.close() return functions, classes def _parse_lines(self, linesource): ''' Parse lines of text for functions and classes ''' functions = [] classes = [] for line in linesource: if line.startswith('def ') and line.count('('): # exclude private stuff name = self._get_object_name(line) if not name.startswith('_'): functions.append(name) elif line.startswith('class '): # exclude private stuff name = self._get_object_name(line) if not name.startswith('_'): classes.append(name) else: pass functions.sort() classes.sort() return functions, classes def generate_api_doc(self, uri): '''Make autodoc documentation template string for a module Parameters ---------- uri : string python location of module - e.g 'sphinx.builder' Returns ------- S : string Contents of API doc ''' # get the names of all classes and functions functions, classes = self._parse_module(uri) if not len(functions) and not len(classes): print('WARNING: Empty -',uri) # dbg return '' # Make a shorter version of the uri that omits the package name for # titles uri_short = re.sub(r'^%s\.' % self.package_name,'',uri) ad = '.. AUTO-GENERATED FILE -- DO NOT EDIT!\n\n' chap_title = uri_short ad += (chap_title+'\n'+ self.rst_section_levels[1] * len(chap_title) + '\n\n') # Set the chapter title to read 'module' for all modules except for the # main packages if '.' in uri: title = 'Module: :mod:`' + uri_short + '`' else: title = ':mod:`' + uri_short + '`' ad += title + '\n' + self.rst_section_levels[2] * len(title) if len(classes): ad += '\nInheritance diagram for ``%s``:\n\n' % uri ad += '.. inheritance-diagram:: %s \n' % uri ad += ' :parts: 3\n' ad += '\n.. automodule:: ' + uri + '\n' ad += '\n.. currentmodule:: ' + uri + '\n' multi_class = len(classes) > 1 multi_fx = len(functions) > 1 if multi_class: ad += '\n' + 'Classes' + '\n' + \ self.rst_section_levels[2] * 7 + '\n' elif len(classes) and multi_fx: ad += '\n' + 'Class' + '\n' + \ self.rst_section_levels[2] * 5 + '\n' for c in classes: ad += '\n:class:`' + c + '`\n' \ + self.rst_section_levels[multi_class + 2 ] * \ (len(c)+9) + '\n\n' ad += '\n.. autoclass:: ' + c + '\n' # must NOT exclude from index to keep cross-refs working ad += ' :members:\n' \ ' :undoc-members:\n' \ ' :show-inheritance:\n' \ '\n' \ ' .. automethod:: __init__\n' if multi_fx: ad += '\n' + 'Functions' + '\n' + \ self.rst_section_levels[2] * 9 + '\n\n' elif len(functions) and multi_class: ad += '\n' + 'Function' + '\n' + \ self.rst_section_levels[2] * 8 + '\n\n' for f in functions: # must NOT exclude from index to keep cross-refs working ad += '\n.. autofunction:: ' + uri + '.' + f + '\n\n' return ad def _survives_exclude(self, matchstr, match_type): ''' Returns True if *matchstr* does not match patterns ``self.package_name`` removed from front of string if present Examples -------- >>> dw = ApiDocWriter('sphinx') >>> dw._survives_exclude('sphinx.okpkg', 'package') True >>> dw.package_skip_patterns.append('^\\.badpkg$') >>> dw._survives_exclude('sphinx.badpkg', 'package') False >>> dw._survives_exclude('sphinx.badpkg', 'module') True >>> dw._survives_exclude('sphinx.badmod', 'module') True >>> dw.module_skip_patterns.append('^\\.badmod$') >>> dw._survives_exclude('sphinx.badmod', 'module') False ''' if match_type == 'module': patterns = self.module_skip_patterns elif match_type == 'package': patterns = self.package_skip_patterns else: raise ValueError('Cannot interpret match type "%s"' % match_type) # Match to URI without package name L = len(self.package_name) if matchstr[:L] == self.package_name: matchstr = matchstr[L:] for pat in patterns: try: pat.search except AttributeError: pat = re.compile(pat) if pat.search(matchstr): return False return True def discover_modules(self): ''' Return module sequence discovered from ``self.package_name`` Parameters ---------- None Returns ------- mods : sequence Sequence of module names within ``self.package_name`` Examples -------- >>> dw = ApiDocWriter('sphinx') >>> mods = dw.discover_modules() >>> 'sphinx.util' in mods True >>> dw.package_skip_patterns.append('\.util$') >>> 'sphinx.util' in dw.discover_modules() False >>> ''' modules = [self.package_name] # raw directory parsing for dirpath, dirnames, filenames in os.walk(self.root_path): # Check directory names for packages root_uri = self._path2uri(os.path.join(self.root_path, dirpath)) for dirname in dirnames[:]: # copy list - we modify inplace package_uri = '.'.join((root_uri, dirname)) if (self._uri2path(package_uri) and self._survives_exclude(package_uri, 'package')): modules.append(package_uri) else: dirnames.remove(dirname) # Check filenames for modules for filename in filenames: module_name = filename[:-3] module_uri = '.'.join((root_uri, module_name)) if (self._uri2path(module_uri) and self._survives_exclude(module_uri, 'module')): modules.append(module_uri) return sorted(modules) def write_modules_api(self, modules,outdir): # write the list written_modules = [] for m in modules: api_str = self.generate_api_doc(m) if not api_str: continue # write out to file outfile = os.path.join(outdir, m + self.rst_extension) fileobj = open(outfile, 'wt') fileobj.write(api_str) fileobj.close() written_modules.append(m) self.written_modules = written_modules def write_api_docs(self, outdir): """Generate API reST files. Parameters ---------- outdir : string Directory name in which to store files We create automatic filenames for each module Returns ------- None Notes ----- Sets self.written_modules to list of written modules """ if not os.path.exists(outdir): os.mkdir(outdir) # compose list of modules modules = self.discover_modules() self.write_modules_api(modules,outdir) def write_index(self, outdir, froot='gen', relative_to=None): """Make a reST API index file from written files Parameters ---------- path : string Filename to write index to outdir : string Directory to which to write generated index file froot : string, optional root (filename without extension) of filename to write to Defaults to 'gen'. We add ``self.rst_extension``. relative_to : string path to which written filenames are relative. This component of the written file path will be removed from outdir, in the generated index. Default is None, meaning, leave path as it is. """ if self.written_modules is None: raise ValueError('No modules written') # Get full filename path path = os.path.join(outdir, froot+self.rst_extension) # Path written into index is relative to rootpath if relative_to is not None: relpath = outdir.replace(relative_to + os.path.sep, '') else: relpath = outdir idx = open(path,'wt') w = idx.write w('.. AUTO-GENERATED FILE -- DO NOT EDIT!\n\n') w('.. toctree::\n\n') for f in self.written_modules: w(' %s\n' % os.path.join(relpath,f)) idx.close() nitime-rel-0.8.1/tools/build_modref_templates.py000077500000000000000000000011431350450615100220120ustar00rootroot00000000000000#!/usr/bin/env python """Script to auto-generate our API docs. """ # stdlib imports import os # local imports from apigen import ApiDocWriter #***************************************************************************** if __name__ == '__main__': package = 'nitime' outdir = os.path.join('api','generated') docwriter = ApiDocWriter(package) docwriter.package_skip_patterns += [r'\.fixes$', ] docwriter.write_api_docs(outdir) docwriter.write_index(outdir, 'gen', relative_to='api') print('%d files written' % len(docwriter.written_modules)) nitime-rel-0.8.1/tools/build_release000077500000000000000000000014321350450615100174520ustar00rootroot00000000000000#!/usr/bin/env python """Nitime release build script. """ from toollib import * # Find our directory and go one above, regardless of where we were called from my_dir = os.path.split(os.path.abspath(__file__))[0] cd(pjoin(my_dir, '..')) # Load release info execfile(pjoin('nitime','version.py')) # Check that everything compiles compile_tree() # Cleanup for d in ['build','dist', pjoin('doc','_build'), pjoin('docs','dist')]: if os.path.isdir(d): remove_tree(d) # Build source and binary distros sh('./setup.py sdist --formats=gztar,zip') # Build eggs sh('python ./setup_egg.py bdist_egg') # Create a windows distribution # sh("python setup.py bdist_wininst") # Change name so retarded Vista runs the installer correctly # sh("rename 's/linux-i686/win32-setup/' dist/*.exe") nitime-rel-0.8.1/tools/ex2rst000077500000000000000000000221341350450615100161040ustar00rootroot00000000000000#!/usr/bin/env python # # Note: this file is copied (possibly with minor modifications) from the # sources of the PyMVPA project - http://pymvpa.org. It remains licensed as # the rest of PyMVPA (MIT license as of October 2010). # ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ## # # See COPYING file distributed along with the PyMVPA package for the # copyright and license terms. # ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ### ## """Helper to automagically generate ReST versions of examples""" __docformat__ = 'restructuredtext' import os import sys import re import glob from optparse import OptionParser def auto_image(line): """Automatically replace generic image markers with ones that have full size (width/height) info, plus a :target: link to the original png, to be used in the html docs. """ img_re = re.compile(r'(\s*)\.\. image::\s*(.*)$') m = img_re.match(line) if m is None: # Not an image declaration, leave the line alone and return unmodified return line # Match means it's an image spec, we rewrite it with extra tags ini_space = m.group(1) lines = [line, ini_space + ' :width: 500\n', #ini_space + ' :height: 350\n' ] fspec = m.group(2) if fspec.endswith('.*'): fspec = fspec.replace('.*', '.png') fspec = fspec.replace('fig/', '../_images/') lines.append(ini_space + (' :target: %s\n' % fspec) ) lines.append('\n') return ''.join(lines) def exfile2rst(filename): """Open a Python script and convert it into an ReST string. """ # output string s = '' # open source file xfile = open(filename) # parser status vars inheader = True indocs = False doc2code = False code2doc = False # an empty line found in the example enables the check for a potentially # indented docstring starting on the next line (as an attempt to exclude # function or class docstrings) last_line_empty = False # indentation of indented docstring, which is removed from the RsT output # since we typically do not want an indentation there. indent_level = 0 for line in xfile: # skip header if inheader and \ not (line.startswith('"""') or line.startswith("'''")): continue # determine end of header if inheader and (line.startswith('"""') or line.startswith("'''")): inheader = False # strip comments and remove trailing whitespace if not indocs and last_line_empty: # first remove leading whitespace and store indent level cleanline = line[:line.find('#')].lstrip() indent_level = len(line) - len(cleanline) - 1 cleanline = cleanline.rstrip() else: cleanline = line[:line.find('#')].rstrip() if not indocs and line == '\n': last_line_empty = True else: last_line_empty = False # if we have something that should go into the text if indocs \ or (cleanline.startswith('"""') or cleanline.startswith("'''")): proc_line = None # handle doc start if not indocs: # guaranteed to start with """ if len(cleanline) > 3 \ and (cleanline.endswith('"""') \ or cleanline.endswith("'''")): # single line doc code2doc = True doc2code = True proc_line = cleanline[3:-3] else: # must be start of multiline block indocs = True code2doc = True # rescue what is left on the line proc_line = cleanline[3:] # strip """ else: # we are already in the docs # handle doc end if cleanline.endswith('"""') or cleanline.endswith("'''"): indocs = False doc2code = True # rescue what is left on the line proc_line = cleanline[:-3] # reset the indentation indent_level = 0 else: # has to be documentation # if the indentation is whitespace remove it, other wise # keep it (accounts for some variation in docstring # styles real_indent = \ indent_level - len(line[:indent_level].lstrip()) proc_line = line[real_indent:] if code2doc: code2doc = False s += '\n' proc_line = auto_image(proc_line) if proc_line: s += proc_line.rstrip() + '\n' else: if doc2code: doc2code = False s += '\n::\n' # has to be code s += ' %s' % line xfile.close() return s def exfile2rstfile(filename, opts): """ """ # doc filename dfilename = os.path.basename(filename[:-3]) + '.rst' # open dest file dfile = open(os.path.join(opts.outdir, os.path.basename(dfilename)), 'w') # place header dfile.write('.. AUTO-GENERATED FILE -- DO NOT EDIT!\n\n') # place cross-ref target dfile.write('.. _example_' + dfilename[:-4] + ':\n\n') # write converted ReST dfile.write(exfile2rst(filename)) if opts.sourceref: # write post example see also box msg = """ .. admonition:: Example source code You can download :download:`the full source code of this example <%s>`. This same script is also included in the %s source distribution under the :file:`doc/examples/` directory. """ % (filename, opts.project) dfile.write(msg) dfile.close() def main(): parser = OptionParser( \ usage="%prog [options] [...]", \ version="%prog 0.1", description="""\ %prog converts Python scripts into restructered text (ReST) format suitable for integration into the Sphinx documentation framework. Its key feature is that it extracts stand-alone (unassigned) single, or multiline triple-quote docstrings and moves them out of the code listing so that they are rendered as regular ReST, while at the same time maintaining their position relative to the listing. The detection of such docstrings is exclusively done by parsing the raw code so it is never actually imported into a running Python session. Docstrings have to be written using triple quotes (both forms " and ' are possible). It is recommend that such docstrings are preceded and followed by an empty line. Intended docstring can make use of the full linewidth from the second docstring line on. If the indentation of multiline docstring is maintained for all lines, the respective indentation is removed in the ReST output. The parser algorithm automatically excludes file headers and starts with the first (module-level) docstring instead. """ ) #' # define options parser.add_option('--verbose', action='store_true', dest='verbose', default=False, help='print status messages') parser.add_option('-x', '--exclude', action='append', dest='excluded', help="""\ Use this option to exclude single files from the to be parsed files. This is especially useful to exclude files when parsing complete directories. This option can be specified multiple times. """) parser.add_option('-o', '--outdir', action='store', dest='outdir', type='string', default=None, help="""\ Target directory to write the ReST output to. This is a required option. """) parser.add_option('--no-sourceref', action='store_false', default=True, dest='sourceref', help="""\ If specified, the source reference section will be suppressed. """) parser.add_option('--project', type='string', action='store', default='', dest='project', help="""\ Name of the project that contains the examples. This name is used in the 'seealso' source references. Default: '' """) # parse options (opts, args) = parser.parse_args() # read sys.argv[1:] by default # check for required options if opts.outdir is None: print('Required option -o, --outdir not specified.') sys.exit(1) # build up list of things to parse toparse = [] for t in args: # expand dirs if os.path.isdir(t): # add all python files in that dir toparse += glob.glob(os.path.join(t, '*.py')) else: toparse.append(t) # filter parse list if not opts.excluded is None: toparse = [t for t in toparse if not t in opts.excluded] toparse_list = toparse toparse = set(toparse) if len(toparse) != len(toparse_list): print('Ignoring duplicate parse targets.') if not os.path.exists(opts.outdir): os.mkdir(outdir) # finally process all examples for t in toparse: exfile2rstfile(t, opts) if __name__ == '__main__': main() nitime-rel-0.8.1/tools/github_stats.py000077500000000000000000000121601350450615100200020ustar00rootroot00000000000000#!/usr/bin/env python """Simple tools to query github.com and gather stats about issues. """ #----------------------------------------------------------------------------- # Imports #----------------------------------------------------------------------------- from __future__ import print_function import json import re import sys import codecs from datetime import datetime, timedelta from urllib.request import urlopen #----------------------------------------------------------------------------- # Globals #----------------------------------------------------------------------------- ISO8601 = "%Y-%m-%dT%H:%M:%SZ" PER_PAGE = 100 element_pat = re.compile(r'<(.+?)>') rel_pat = re.compile(r'rel=[\'"](\w+)[\'"]') #----------------------------------------------------------------------------- # Functions #----------------------------------------------------------------------------- def parse_link_header(headers): link_s = headers.get('link', '') urls = element_pat.findall(link_s) rels = rel_pat.findall(link_s) d = {} for rel,url in zip(rels, urls): d[rel] = url return d def get_paged_request(url): """get a full list, handling APIv3's paging""" results = [] while url: print("fetching %s" % url, file=sys.stderr) reader = codecs.getreader("utf-8") f = reader(urlopen(url)) results.extend(json.load(f)) links = parse_link_header(f.headers) url = links.get('next') return results def get_issues(project="nipy/nitime", state="closed", pulls=False): """Get a list of the issues from the Github API.""" which = 'pulls' if pulls else 'issues' url = "https://api.github.com/repos/%s/%s?state=%s&per_page=%i" % (project, which, state, PER_PAGE) return get_paged_request(url) def _parse_datetime(s): """Parse dates in the format returned by the Github API.""" if s: return datetime.strptime(s, ISO8601) else: return datetime.fromtimestamp(0) def issues2dict(issues): """Convert a list of issues to a dict, keyed by issue number.""" idict = {} for i in issues: idict[i['number']] = i return idict def is_pull_request(issue): """Return True if the given issue is a pull request.""" return 'pull_request_url' in issue def issues_closed_since(period=timedelta(days=365), project="nipy/nitime", pulls=False): """Get all issues closed since a particular point in time. period can either be a datetime object, or a timedelta object. In the latter case, it is used as a time before the present.""" which = 'pulls' if pulls else 'issues' if isinstance(period, timedelta): period = datetime.now() - period url = "https://api.github.com/repos/%s/%s?state=closed&sort=updated&since=%s&per_page=%i" % (project, which, period.strftime(ISO8601), PER_PAGE) allclosed = get_paged_request(url) # allclosed = get_issues(project=project, state='closed', pulls=pulls, since=period) filtered = [i for i in allclosed if _parse_datetime(i['closed_at']) > period] return filtered def sorted_by_field(issues, field='closed_at', reverse=False): """Return a list of issues sorted by closing date date.""" return sorted(issues, key = lambda i:i[field], reverse=reverse) def report(issues, show_urls=False): """Summary report about a list of issues, printing number and title. """ # titles may have unicode in them, so we must encode everything below if show_urls: for i in issues: role = 'ghpull' if 'merged' in i else 'ghissue' print('* :%s:`%d`: %s' % (role, i['number'], i['title'].encode('utf-8'))) else: for i in issues: print('* %d: %s' % (i['number'], i['title'].encode('utf-8'))) #----------------------------------------------------------------------------- # Main script #----------------------------------------------------------------------------- if __name__ == "__main__": # Whether to add reST urls for all issues in printout. show_urls = True # By default, search one month back if len(sys.argv) > 1: days = int(sys.argv[1]) else: days = 310 # turn off to play interactively without redownloading, use %run -i if 1: issues = issues_closed_since(timedelta(days=days), pulls=False) pulls = issues_closed_since(timedelta(days=days), pulls=True) # For regular reports, it's nice to show them in reverse chronological order issues = sorted_by_field(issues, reverse=True) pulls = sorted_by_field(pulls, reverse=True) n_issues, n_pulls = map(len, (issues, pulls)) n_total = n_issues + n_pulls # Print summary report we can directly include into release notes. print("GitHub stats for the last %d days." % days) print("We closed a total of %d issues, %d pull requests and %d regular \n" "issues; this is the full list (generated with the script \n" "`tools/github_stats.py`):" % (n_total, n_pulls, n_issues)) print() print('Pull Requests (%d):\n' % n_pulls) report(pulls, show_urls) print() print('Issues (%d):\n' % n_issues) report(issues, show_urls) nitime-rel-0.8.1/tools/gitwash_dumper.py000077500000000000000000000113651350450615100203320ustar00rootroot00000000000000#!/usr/bin/env python ''' Checkout gitwash repo into directory and do search replace on name ''' import os from os.path import join as pjoin import shutil import sys import re import glob import fnmatch import tempfile from subprocess import call verbose = False def clone_repo(url, branch): cwd = os.getcwd() tmpdir = tempfile.mkdtemp() try: cmd = 'git clone %s %s' % (url, tmpdir) call(cmd, shell=True) os.chdir(tmpdir) cmd = 'git checkout %s' % branch call(cmd, shell=True) except: shutil.rmtree(tmpdir) raise finally: os.chdir(cwd) return tmpdir def cp_files(in_path, globs, out_path): try: os.makedirs(out_path) except OSError: pass out_fnames = [] for in_glob in globs: in_glob_path = pjoin(in_path, in_glob) for in_fname in glob.glob(in_glob_path): out_fname = in_fname.replace(in_path, out_path) pth, _ = os.path.split(out_fname) if not os.path.isdir(pth): os.makedirs(pth) shutil.copyfile(in_fname, out_fname) out_fnames.append(out_fname) return out_fnames def filename_search_replace(sr_pairs, filename, backup=False): ''' Search and replace for expressions in files ''' in_txt = open(filename, 'rt').read(-1) out_txt = in_txt[:] for in_exp, out_exp in sr_pairs: in_exp = re.compile(in_exp) out_txt = in_exp.sub(out_exp, out_txt) if in_txt == out_txt: return False open(filename, 'wt').write(out_txt) if backup: open(filename + '.bak', 'wt').write(in_txt) return True def copy_replace(replace_pairs, out_path, repo_url, repo_branch = 'master', cp_globs=('*',), rep_globs=('*',), renames = ()): repo_path = clone_repo(repo_url, repo_branch) try: out_fnames = cp_files(repo_path, cp_globs, out_path) finally: shutil.rmtree(repo_path) renames = [(re.compile(in_exp), out_exp) for in_exp, out_exp in renames] fnames = [] for rep_glob in rep_globs: fnames += fnmatch.filter(out_fnames, rep_glob) if verbose: print '\n'.join(fnames) for fname in fnames: filename_search_replace(replace_pairs, fname, False) for in_exp, out_exp in renames: new_fname, n = in_exp.subn(out_exp, fname) if n: os.rename(fname, new_fname) break USAGE = ''' If not set with options, the repository name is the same as the If not set with options, the main github user is the same as the repository name.''' GITWASH_CENTRAL = 'git://github.com/matthew-brett/gitwash.git' GITWASH_BRANCH = 'master' if __name__ == '__main__': from optparse import OptionParser parser = OptionParser() parser.set_usage(parser.get_usage().strip() + USAGE) parser.add_option("--repo-name", dest="repo_name", help="repository name - e.g. nitime", metavar="REPO_NAME") parser.add_option("--github-user", dest="main_gh_user", help="github username for main repo - e.g fperez", metavar="MAIN_GH_USER") parser.add_option("--gitwash-url", dest="gitwash_url", help="URL to gitwash repository - default %s" % GITWASH_CENTRAL, default=GITWASH_CENTRAL, metavar="GITWASH_URL") parser.add_option("--gitwash-branch", dest="gitwash_branch", help="branch in gitwash repository - default %s" % GITWASH_BRANCH, default=GITWASH_BRANCH, metavar="GITWASH_BRANCH") parser.add_option("--source-suffix", dest="source_suffix", help="suffix of ReST source files - default '.rst'", default='.rst', metavar="SOURCE_SUFFIX") (options, args) = parser.parse_args() if len(args) < 2: parser.print_help() sys.exit() out_path, project_name = args if options.repo_name is None: options.repo_name = project_name if options.main_gh_user is None: options.main_gh_user = options.repo_name copy_replace((('PROJECTNAME', project_name), ('REPONAME', options.repo_name), ('MAIN_GH_USER', options.main_gh_user)), out_path, options.gitwash_url, options.gitwash_branch, cp_globs=(pjoin('gitwash', '*'),), rep_globs=('*.rst',), renames=(('\.rst$', options.source_suffix),)) nitime-rel-0.8.1/tools/make_examples.py000077500000000000000000000044621350450615100201230ustar00rootroot00000000000000#!/usr/bin/env python """Run the py->rst conversion and run all examples. This also creates the index.rst file appropriately, makes figures, etc. """ # Library imports # Stdlib imports import os import sys from glob import glob # Third-party imports # We must configure the mpl backend before making any further mpl imports import matplotlib import matplotlib.pyplot as plt from matplotlib._pylab_helpers import Gcf # Local tools from toollib import * # Set MPL backend: matplotlib.use('Agg') # Globals: examples_header = """ .. _examples: ======== Examples ======== .. include:: note_about_examples.txt .. toctree:: :maxdepth: 2 """ # Function definitions:: # These global variables let show() be called by the scripts in the usual # manner, but when generating examples, we override it to write the figures to # files with a known name (derived from the script name) plus a counter figure_basename = None # We must change the show command to save instead def show(): """ This over-rides matplotlibs `show` function to save instead of rendering to the screen. """ allfm = Gcf.get_all_fig_managers() for fcount, fm in enumerate(allfm): fm.canvas.figure.savefig('%s_%02i.png' % (figure_basename, fcount+1)) _mpl_show = plt.show plt.show = show # Main script:: # Work in examples directory cd('examples') if not os.getcwd().endswith('doc/examples'): raise OSError('This must be run from doc/examples directory') # Run the conversion from .py to rst file sh('../../tools/ex2rst --project Nitime --outdir . .') # Make the index.rst file index = open('index.rst', 'w') index.write(examples_header) for name in [os.path.splitext(f)[0] for f in glob('*.rst')]: # Don't add the index in there to avoid sphinx errors and don't add the # note_about examples again (because it was added at the top): if name not in(['index', 'note_about_examples']): index.write(' %s\n' % name) index.close() # Execute each python script in the directory. if '--no-exec' in sys.argv: pass else: if not os.path.isdir('fig'): os.mkdir('fig') for script in glob('*.py'): print(script) figure_basename = pjoin('fig', os.path.splitext(script)[0]) with open(script) as f: exec(f.read()) plt.close('all') nitime-rel-0.8.1/tools/release000077500000000000000000000012301350450615100162670ustar00rootroot00000000000000#!/usr/bin/env python """Nitime release script. This should only be run at real release time. """ from toollib import * # Find our directory and go one above, regardless of where we were called from my_dir = os.path.split(os.path.abspath(__file__))[0] cd(pjoin(my_dir, '..')) # Load release info execfile(pjoin('nitime','version.py')) print print "Releasing Nitime version %s" % __version__ print # Build release files sh('tools/build_release') # Register with the Python Package Index (PyPI) print "Registering with PyPI..." sh('./setup.py register') # Upload all files print "Uploading distribution files..." sh('./setup.py sdist upload') print "Done!" nitime-rel-0.8.1/tools/toollib.py000066400000000000000000000017521350450615100167500ustar00rootroot00000000000000"""Various utilities common to IPython release and maintenance tools. """ # Library imports import os import sys import compileall from subprocess import Popen, PIPE, CalledProcessError, check_call from distutils.dir_util import remove_tree # Useful shorthands pjoin = os.path.join cd = os.chdir # Utility functions #----------------------------------------------------------------------------- # Functions #----------------------------------------------------------------------------- def sh(cmd): """Execute command in a subshell, return status code.""" return check_call(cmd, shell=True) def compile_tree(): """Compile all Python files below current directory.""" vstr = '.'.join(map(str, sys.version_info[:2])) ca = compileall.__file__ stat = os.system('python %s .' % ca) if stat: msg = '*** ERROR: Some Python files in tree do NOT compile! ***\n' msg += 'See messages above for the actual file that produced it.\n' raise SystemExit(msg)

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