syfi-1.0.0.dfsg.orig/0000700000175000017500000000000011674103626014217 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/syfi/0000755000175000017500000000000011674103626015203 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/syfi/RaviartThomas.cpp0000644000175000017500000005033311672223006020470 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "RaviartThomas.h" #include #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { RaviartThomas:: RaviartThomas() : StandardFE() { description = "RaviartThomas"; } RaviartThomas:: RaviartThomas(Polygon& p, int order, bool pointwise_) : StandardFE(p, order) { pointwise = pointwise_; compute_basis_functions(); } void RaviartThomas:: compute_basis_functions() { if ( order < 1 ) { throw(std::logic_error("Raviart-Thomas elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } // see e.g. Brezzi and Fortin book page 116 for the definition GiNaC::ex nsymb = GiNaC::symbol("n"); if (pointwise) { if ( p->str().find("ReferenceLine") != string::npos ) { cout <<"Can not define the Raviart-Thomas element on a line"<str().find("Triangle") != string::npos ) { description = istr("RaviartThomas_", order) + "_2D"; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex polynom_space1 = bernstein(order-1, triangle, "a"); GiNaC::ex polynom1 = polynom_space1.op(0); GiNaC::ex polynom1_vars = polynom_space1.op(1); GiNaC::ex polynom1_basis = polynom_space1.op(2); GiNaC::lst polynom_space2 = bernsteinv(2,order-1, triangle, "b"); GiNaC::ex polynom2 = polynom_space2.op(0).op(0); GiNaC::ex polynom3 = polynom_space2.op(0).op(1); GiNaC::lst pspace = GiNaC::lst( polynom2 + polynom1*x, polynom3 + polynom1*y); GiNaC::lst v2 = collapse(GiNaC::ex_to(polynom_space2.op(1))); variables = collapse(GiNaC::lst(polynom_space1.op(1), v2)); // remove multiple dofs if ( order >= 2) { GiNaC::ex expanded_pol = GiNaC::expand(polynom1); for (unsigned int c1=0; c1<= order-2;c1++) { for (unsigned int c2=0; c2<= order-2;c2++) { for (unsigned int c3=0; c3<= order-2;c3++) { if ( c1 + c2 + c3 <= order -2 ) { GiNaC::ex eq = expanded_pol.coeff(x,c1).coeff(y,c2).coeff(z,c3); if ( eq != GiNaC::numeric(0) ) { equations.append(eq == 0); } } } } } } int removed_dofs = equations.nops(); GiNaC::ex bernstein_pol; int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(pspace, normal_vec); GiNaC::lst points = interior_coordinates(line, order-1); GiNaC::ex edge_length = line.integrate(GiNaC::numeric(1)); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vn.subs(x == point.op(0)).subs(y == point.op(1))*edge_length; GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,nsymb)); } } // dofs related to the whole triangle if ( order > 1) { counter++; GiNaC::lst points = interior_coordinates(triangle, order-2); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); // x -component dofi = pspace.op(0).subs(x == point.op(0)).subs(y == point.op(1)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,0)); // y -component dofi = pspace.op(1).subs(x == point.op(0)).subs(y == point.op(1)); eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,1)); } } // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; iistr().find("Tetrahedron") != string::npos ) { description = istr("RaviartThomas_", order) + "_3D"; Tetrahedron& tetrahedron = (Tetrahedron&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex polynom_space1 = bernstein(order-1, tetrahedron, "a"); GiNaC::ex polynom1 = polynom_space1.op(0); GiNaC::ex polynom1_vars = polynom_space1.op(1); GiNaC::ex polynom1_basis = polynom_space1.op(2); GiNaC::lst polynom_space2 = bernsteinv(3,order-1, tetrahedron, "b"); GiNaC::ex polynom2 = polynom_space2.op(0).op(0); GiNaC::ex polynom3 = polynom_space2.op(0).op(1); GiNaC::ex polynom4 = polynom_space2.op(0).op(2); GiNaC::lst pspace = GiNaC::lst( polynom2 + polynom1*x, polynom3 + polynom1*y, polynom4 + polynom1*z); GiNaC::lst v2 = collapse(GiNaC::ex_to(polynom_space2.op(1))); variables = collapse(GiNaC::lst(polynom_space1.op(1), v2)); GiNaC::ex bernstein_pol; // remove multiple dofs if ( order >= 2) { GiNaC::ex expanded_pol = GiNaC::expand(polynom1); for (unsigned int c1=0; c1<= order-2;c1++) { for (unsigned int c2=0; c2<= order-2;c2++) { for (unsigned int c3=0; c3<= order-2;c3++) { if ( c1 + c2 + c3 <= order -2 ) { GiNaC::ex eq = expanded_pol.coeff(x,c1).coeff(y,c2).coeff(z,c3); if ( eq != GiNaC::numeric(0) ) { equations.append(eq == 0); } } } } } } int removed_dofs = equations.nops(); GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 4; i++) { Triangle triangle = tetrahedron.triangle(i); GiNaC::lst normal_vec = normal(tetrahedron, i); GiNaC::ex Vn = inner(pspace, normal_vec); GiNaC::lst points = interior_coordinates(triangle, order-1); GiNaC::ex triangle_size = triangle.integrate(GiNaC::numeric(1)); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vn.subs(x == point.op(0)).subs(y == point.op(1)).subs(z == point.op(2))*triangle_size; GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,nsymb)); } } // dofs related to the whole tetrahedron if ( order > 1) { GiNaC::lst points = interior_coordinates(tetrahedron, order-2); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); // x -component dofi = pspace.op(0).subs(x == point.op(0)).subs(y == point.op(1)).subs(z == point.op(2)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,0)); // y -component dofi = pspace.op(1).subs(x == point.op(0)).subs(y == point.op(1)).subs(z == point.op(2)); eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,1)); // z -component dofi = pspace.op(2).subs(x == point.op(0)).subs(y == point.op(1)).subs(z == point.op(2)); eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,1)); } } // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; iistr().find("ReferenceLine") != string::npos ) { cout <<"Can not define the Raviart-Thomas element on a line"<str().find("Triangle") != string::npos ) { description = istr("RaviartThomas_", order) + "_2D"; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex polynom_space1 = bernstein(order-1, triangle, "a"); GiNaC::ex polynom1 = polynom_space1.op(0); GiNaC::ex polynom1_vars = polynom_space1.op(1); GiNaC::ex polynom1_basis = polynom_space1.op(2); GiNaC::lst polynom_space2 = bernsteinv(2,order-1, triangle, "b"); GiNaC::ex polynom2 = polynom_space2.op(0).op(0); GiNaC::ex polynom3 = polynom_space2.op(0).op(1); GiNaC::lst pspace = GiNaC::lst( polynom2 + polynom1*x, polynom3 + polynom1*y); GiNaC::lst v2 = collapse(GiNaC::ex_to(polynom_space2.op(1))); variables = collapse(GiNaC::lst(polynom_space1.op(1), v2)); // remove multiple dofs if ( order >= 2) { GiNaC::ex expanded_pol = GiNaC::expand(polynom1); for (unsigned int c1=0; c1<= order-2;c1++) { for (unsigned int c2=0; c2<= order-2;c2++) { for (unsigned int c3=0; c3<= order-2;c3++) { if ( c1 + c2 + c3 <= order -2 ) { GiNaC::ex eq = expanded_pol.coeff(x,c1).coeff(y,c2).coeff(z,c3); if ( eq != GiNaC::numeric(0) ) { equations.append(eq == 0); } } } } } } int removed_dofs = equations.nops(); GiNaC::ex bernstein_pol; int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); bernstein_pol = bernstein(order-1, line, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_n = inner(pspace, normal_vec); GiNaC::ex basis; for (unsigned int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_n*basis; dofi = line.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),j); dofs.insert(dofs.end(), d); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex n = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("normal_vec[0]"), GiNaC::symbol("normal_vec[1]"))); dof_repr.append(GiNaC::lst(inner(u,n)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } // dofs related to the whole triangle GiNaC::lst bernstein_polv; if ( order > 1) { counter++; bernstein_polv = bernsteinv(2,order-2, triangle, "a"); GiNaC::ex basis_space = bernstein_polv.op(2); for (unsigned int i=0; i< basis_space.nops(); i++) { GiNaC::lst basis = GiNaC::ex_to(basis_space.op(i)); GiNaC::ex integrand = inner(pspace, basis); dofi = triangle.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)), i); dofs.insert(dofs.end(), d); } } // invert the matrix: // GiNaC has a bit strange way to invert a matrix. // It solves the system AA^{-1} = Id. // It seems that this way is the only way to do // properly with the solve_algo::gauss flag. // GiNaC::matrix b; GiNaC::matrix A; matrix_from_equations(equations, variables, A, b); unsigned int ncols = A.cols(); GiNaC::matrix vars_sq(ncols, ncols); // matrix of symbols for (unsigned r=0; r(b)); GiNaC::lst subs; for (unsigned int ii=0; iistr().find("Tetrahedron") != string::npos ) { description = istr("RaviartThomas_", order) + "_3D"; Tetrahedron& tetrahedron = (Tetrahedron&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex polynom_space1 = bernstein(order-1, tetrahedron, "a"); GiNaC::ex polynom1 = polynom_space1.op(0); GiNaC::ex polynom1_vars = polynom_space1.op(1); GiNaC::ex polynom1_basis = polynom_space1.op(2); GiNaC::lst polynom_space2 = bernsteinv(3,order-1, tetrahedron, "b"); GiNaC::ex polynom2 = polynom_space2.op(0).op(0); GiNaC::ex polynom3 = polynom_space2.op(0).op(1); GiNaC::ex polynom4 = polynom_space2.op(0).op(2); GiNaC::lst pspace = GiNaC::lst( polynom2 + polynom1*x, polynom3 + polynom1*y, polynom4 + polynom1*z); GiNaC::lst v2 = collapse(GiNaC::ex_to(polynom_space2.op(1))); variables = collapse(GiNaC::lst(polynom_space1.op(1), v2)); GiNaC::ex bernstein_pol; // remove multiple dofs if ( order >= 2) { GiNaC::ex expanded_pol = GiNaC::expand(polynom1); for (unsigned int c1=0; c1<= order-2;c1++) { for (unsigned int c2=0; c2<= order-2;c2++) { for (unsigned int c3=0; c3<= order-2;c3++) { if ( c1 + c2 + c3 <= order -2 ) { GiNaC::ex eq = expanded_pol.coeff(x,c1).coeff(y,c2).coeff(z,c3); if ( eq != GiNaC::numeric(0) ) { equations.append(eq == 0); } } } } } } int removed_dofs = equations.nops(); int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 4; i++) { Triangle triangle = tetrahedron.triangle(i); GiNaC::lst normal_vec = normal(tetrahedron, i); bernstein_pol = bernstein(order-1, triangle, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_n = inner(pspace, normal_vec); GiNaC::ex basis; for (unsigned int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_n*basis; dofi = triangle.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)), j); dofs.insert(dofs.end(), d); GiNaC::ex u = GiNaC::matrix(3,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"), GiNaC::symbol("v[2]"))); GiNaC::ex n = GiNaC::matrix(3,1,GiNaC::lst(GiNaC::symbol("normal_vec[0]"), GiNaC::symbol("normal_vec[1]"), GiNaC::symbol("normal_vec[2]"))); dof_repr.append(GiNaC::lst(inner(u,n)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")) .subs( z == GiNaC::symbol("xi[2]")), d)); } } // dofs related to the whole tetrahedron GiNaC::lst bernstein_polv; if ( order > 1) { counter++; bernstein_polv = bernsteinv(3,order-2, tetrahedron, "a"); GiNaC::ex basis_space = bernstein_polv.op(2); for (unsigned int i=0; i< basis_space.nops(); i++) { GiNaC::lst basis = GiNaC::ex_to(basis_space.op(i)); GiNaC::ex integrand = inner(pspace, basis); dofi = tetrahedron.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(tetrahedron.vertex(0), tetrahedron.vertex(1), tetrahedron.vertex(2), tetrahedron.vertex(3)), i); dofs.insert(dofs.end(), d); } } // invert the matrix: // GiNaC has a bit strange way to invert a matrix. // It solves the system AA^{-1} = Id. // It seems that this way is the only way to do // properly with the solve_algo::gauss flag. // GiNaC::matrix b; GiNaC::matrix A; matrix_from_equations(equations, variables, A, b); unsigned int ncols = A.cols(); GiNaC::matrix vars_sq(ncols, ncols); // matrix of symbols for (unsigned r=0; r(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #ifndef TIMEELEMENT_IS_INCLUDED #define TIMEELEMENT_IS_INCLUDED #include "FE.h" namespace SyFi { class SpaceTimeDomain : public Polygon { Line* time_line; Polygon* polygon; public: SpaceTimeDomain(Line& time_line_, Polygon& polygon_); SpaceTimeDomain(const SpaceTimeDomain& space_time_domain_); Polygon& get_space_domain() const { return *((*polygon).copy()); } Line& get_time_domain() const { return *((*time_line).copy()); } virtual unsigned int no_space_dim() const; virtual Line line(unsigned int i) const; virtual GiNaC::ex repr(Repr_format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual SpaceTimeDomain* copy() const; }; class SpaceTimeElement : public StandardFE { int order; Line* time_line; StandardFE* fe; public: SpaceTimeElement(); SpaceTimeElement(Line* time_line_, unsigned int order_, StandardFE* fe_); virtual ~SpaceTimeElement() {} void set_time_domain(Line* line); void set_order_in_time(unsigned int order); void set_spatial_element(StandardFE* fe); virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/FE.h0000644000175000017500000000402211672223006015635 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef FE_IS_INCLUDED #define FE_IS_INCLUDED #include #include "Polygon.h" namespace SyFi { class FE { public: FE() {} virtual ~FE() {} // Set polygonal domain virtual void set_polygon(Polygon& p) = 0; // Get polygonal domain virtual Polygon& get_polygon() = 0; // precompute basis functions virtual void compute_basis_functions() = 0; // Number of basis functions/ degrees of freedom virtual unsigned int nbf() const = 0; // The i'th basis function virtual GiNaC::ex N(unsigned int i) = 0; // The i'th degree of freedom virtual GiNaC::ex dof(unsigned int i) = 0 ; virtual std::string str() = 0; }; class StandardFE : public FE { protected: GiNaC::exvector Ns; GiNaC::exvector dofs; Polygon* p; unsigned int order; std::string description; public: StandardFE(); StandardFE(Polygon& p, unsigned int order); virtual ~StandardFE(); virtual void set_order(unsigned int order); virtual unsigned int get_order(); virtual void set_polygon(Polygon& p); virtual Polygon& get_polygon(); virtual void compute_basis_functions(); virtual unsigned int nbf() const; virtual GiNaC::ex N(unsigned int i); virtual GiNaC::ex dof(unsigned int i); virtual std::string str(); }; } #endif syfi-1.0.0.dfsg.orig/syfi/Hermite.h0000644000175000017500000000202111672223006016735 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef HERMITE_FE_IS_INCLUDED #define HERMITE_FE_IS_INCLUDED #include "FE.h" namespace SyFi { class Hermite : public StandardFE { public: Hermite(); Hermite(Polygon& p, int order = 1); virtual ~Hermite() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/containers.h0000644000175000017500000000267211672223006017521 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef CONTAINERS_IS_INCLUDED #define CONTAINERS_IS_INCLUDED #include #include #include #include #include #include namespace SyFi { // container typedefs typedef std::pair symexpair; typedef std::list< std::pair > symexlist; //typedef std::vector exvector; typedef std::list exlist; typedef std::set exset; //typedef std::map exmap; typedef std::map ex_int_map; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Ptv_tools.cpp0000644000175000017500000001161611672223006017676 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Ptv_tools.h" #include #include #include #include #include using namespace std; namespace SyFi { void sort_vector(vector& a) { sort(a.begin(), a.end(), Ptv_is_less()); } void set_tolerance(double tolerance) { Ptv::tol = tolerance; } double mul(const Ptv&a, const Ptv& b) { if ( a.size() != b.size() ) { throw(std::logic_error("Exception from mul(const Ptv&, const Ptv&): The dimentions of a and b must be the same.")); } double sum = 0; for (unsigned int i=0; i< a.size(); i++) { sum += (a[i])*(b[i]); } return sum; } double norm(const Ptv& a) { double sum = 0.0; for (unsigned int i=0; i < a.size(); i++) { sum += a[i]*a[i]; } sum = sqrt(sum); return sum; } void normalize(Ptv& a) { double invn = 1.0/norm(a); for (unsigned int i=0; i< a.size(); i++) { a[i] *= invn; } } void add(const Ptv&a, const Ptv& b, Ptv& c) { if ( a.size() != b.size() ) { throw(std::logic_error("Exception from add(const Ptv&, const Ptv&, Ptv&): The dimentions of a and b must be the same.")); } c.redim(a.size()); for (unsigned int i=0; i< c.size(); i++) { c[i] = a[i] + b[i]; } } void sub(const Ptv&a, const Ptv& b, Ptv& c) { if ( a.size() != b.size() ) { throw(std::logic_error("Exception from add(const Ptv&, const Ptv&, Ptv&): The dimentions of a and b must be the same.")); } c.redim(a.size()); for (unsigned int i=0; i< c.size(); i++) { c[i] = a[i] - b[i]; } } void cross(const Ptv& a, const Ptv& b, Ptv& c) { if ( a.size() != b.size() ) { throw(std::logic_error("Exception from cross (const Ptv&, const Ptv&, Ptv&): The dimentions of a and b must be the same.")); } if ( a.size() == 2 ) { c.redim(1); c[0] = a[0]*b[1] - a[1]*b[0]; } else if ( a.size() == 3 ) { c.redim(3); c[0] = a[1]*b[2] - b[1]*a[2]; c[1] = - a[0]*b[2] + b[0]*a[2]; c[2] = a[0]*b[1] - b[0]*a[1]; } else { throw(std::logic_error("The cross product can only be computed in 2D and 3D.")); } } bool is_equal(Ptv& a, Ptv& b) { if (a.size() != b.size()) return false; for (unsigned int i=0; i < a.size(); i++ ) { if ( fabs( a[i] - b[i]) > Ptv::tol ) { return false; } } return true; } bool line_contains(Ptv& e0, Ptv& e1, Ptv& p) { if ( is_equal(e0, p) || is_equal(e1, p) ) return true; // vec0 = e1-e0 Ptv vec0; sub(e1,e0, vec0); // vec1 = e1-p Ptv vec1; sub(e1, p, vec1); // check if the vec0 and vec1 are parallel Ptv c; cross(vec0, vec1, c); if (norm(c) > Ptv::tol) { return false; } // check whether the edge (e0,e1) contains p . if ( e0.less(p) && e1.less(p) ) return false; if ( p.less(e0) && p.less(e1) ) return false; return true; } bool is_inside_triangle(Ptv& e0, Ptv& e1, Ptv& e2, Ptv& p) { Ptv n0; sub(e0, p, n0); normalize(n0); Ptv n1; sub(e1, p, n1); normalize(n1); Ptv n2; sub(e2, p, n2); normalize(n2); double c0 = acos(mul(n0,n1)); double c1 = acos(mul(n1,n2)); double c2 = acos(mul(n2,n1)); if ( fabs(c0 + c1 + c2 - 2*3.1415926535897931) < Ptv::tol) return true; return false; } // FIXME this code can be made more general and put in // a more appropriate place. For now it is only used by // the boundary function. It only works in 2D. bool contains2D(Ptv& e0, Ptv& e1, Ptv& p) { if ( e0.size() != e1.size() || e0.size() != p.size() ) { throw(std::logic_error("Exception from contains2D(Ptv&, Ptv&, Ptv&): The dimentions of a and b must be the same.")); } bool b = line_contains(e0, e1, p); return b; } bool contains3D(Ptv& e0, Ptv& e1, Ptv& e2, Ptv& p) { // check if p is either e0, e1, or e2 if ( is_equal(e0, p) ) return true; else if ( is_equal(e1, p) ) return true; else if ( is_equal(e2, p) ) return true; // check if p is on the lines connecting e0, e1, and e2 if ( line_contains(e0, e1, p) ) return true; else if ( line_contains(e1, e2, p) ) return true; else if ( line_contains(e2, e1, p) ) return true; // check if p is inside the triangle with verticies e0, e1, and e2 if ( is_inside_triangle(e0, e1, e2, p) ) return true; return false; } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/ArnoldFalkWintherWeakSym.cpp0000644000175000017500000001302011672223006022553 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "ArnoldFalkWintherWeakSym.h" #include "Nedelec2Hdiv.h" #include "DiscontinuousLagrange.h" #include "P0.h" #include "utilities.h" using std::cout; using std::endl; namespace SyFi { //------------ sigma element ArnoldFalkWintherWeakSymSigma::ArnoldFalkWintherWeakSymSigma() : StandardFE() { description = "ArnoldFalkWintherWeakSymSigma"; } ArnoldFalkWintherWeakSymSigma::ArnoldFalkWintherWeakSymSigma(Polygon& p, int order) : StandardFE(p, order) { compute_basis_functions(); } void ArnoldFalkWintherWeakSymSigma:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 1 ) { throw(std::logic_error("Arnold-Falk-Winther elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } description = istr("ArnoldFalkWintherWeakSymSigma_", order) + "_3D"; Nedelec2Hdiv fe; fe.set_order(order); fe.set_polygon(*p); fe.compute_basis_functions(); for (int d=0; d<3; d++) { for (unsigned int i=0; i 1 ) { VectorDiscontinuousLagrange fe; fe.set_order(order-1); fe.set_size(3); fe.set_polygon(*p); fe.compute_basis_functions(); for (unsigned int i=0; i 1 ) { VectorDiscontinuousLagrange fe; fe.set_order(order); fe.set_size(3); fe.set_polygon(*p); fe.compute_basis_functions(); for (unsigned int i=0; i. #ifndef UTILITIES_IS_INCLUDED #define UTILITIES_IS_INCLUDED #include #include #include "containers.h" namespace SyFi { extern const int version_major; extern const int version_minor; extern const char* version_micro; // dirac delta function int dirac(unsigned int i, unsigned int j); // string utilities std::string int2string(int i); std::string istr(const std::string & a, int b); std::string istr(const std::string & a, int b, int c); std::string lst2string(GiNaC::lst& l); //std::string lst2string(GiNaC::exvector& v); //GiNaC::lst compute_functions(GiNaC::lst& equations, GiNaC::lst& variables, GiNaC::lst& space); // print functions #ifndef SWIG void print(GiNaC::exvector& v); void print(GiNaC::lst& l); void print(GiNaC::exmap m); void print(ex_int_map m); void print(std::map, GiNaC::ex> & A); #endif } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/tools.h0000644000175000017500000000204411672223006016505 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef TOOLS_IS_INCLUDED #define TOOLS_IS_INCLUDED #include "utilities.h" // basic utilitites and definitions #include "symbol_factory.h" // constructing symbols #include "diff_tools.h" // differential operators #include "ginac_tools.h" // constructing polynomials, inspecting and manipulating ginac objects #endif syfi-1.0.0.dfsg.orig/syfi/Ptv.cpp0000644000175000017500000000735111672223006016457 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Ptv.h" #include #include using std::ostream; using std::endl; double Ptv::tol = 1.0e-9; double Ptv_match::tol = 1.0e-9; //double Ptv::tol = .0; //double Ptv_match::tol = .0; Ptv::Ptv() : dim(0) { v = new double[0]; } Ptv::Ptv(double x, double y) { dim = 2; v = new double[2]; v[0] = x; v[1] = y; } Ptv::Ptv(double x, double y, double z) { dim = 3; v = new double[3]; v[0] = x; v[1] = y; v[2] = z; } Ptv::Ptv(unsigned int size_) { dim = size_; v = new double[dim]; for (unsigned int i=0; i< dim; i++) { v[i] = 0.0; } } // FIXME: // The constructor which takes int, double* could/should work // on the double* provided instead of creating a copy. // This however affects the destructor. Since Ptv should // not delete memory. // We could introduce a bool external_storage in Ptv which // is used as a test in the destructor. Ptv::Ptv(unsigned int size_, double* v_) { dim = size_; v = new double[dim]; for (unsigned int i=0; i< dim; i++) { v[i] = v_[i]; } } Ptv::Ptv(const Ptv& p) { dim = p.size(); v = new double[dim]; for (unsigned int i=0; i< dim; i++) { v[i] = p[i]; } } Ptv::~Ptv() { delete [] v; } void Ptv::redim(unsigned int size_, double* v_) { if (dim != size_ ) { delete [] v; dim = size_; v = new double[dim]; } for (unsigned int i=0; i< dim; i++) { v[i] = v_[i]; } } void Ptv::redim(unsigned int size_) { if (dim != size_ ) { delete [] v; dim = size_; v = new double[dim]; } for (unsigned int i=0; i< dim; i++) { v[i] = 0.0; } } void Ptv::fill(double* v_) { for (unsigned int i=0; i< dim; i++) { v[i] = v_[i]; } } const unsigned int Ptv::size() const { return dim;} const double& Ptv::operator [] (unsigned int i) const { return v[i]; } double& Ptv::operator [] (unsigned int i) { return v[i]; } Ptv& Ptv::operator = (const Ptv& p) { if ( this != &p) { if ( dim != p.size()) { delete [] v; dim = p.size(); v = new double[dim]; } for (unsigned int i=0; i< dim; i++) { v[i] = p[i]; } } return *this; } bool Ptv::less(const Ptv& p) const { if ( dim < p.size() ) return true ; if ( dim > p.size() ) return false; /* for (int i=dim-1; i>= 0; i--) { if ( fabs(v[i] - p[i]) > tol ) { if (v[i] < p[i]) return true; else return false; } } */ for (int i=dim-1; i>= 0; i--) { if ( v[i] + tol >= p[i] - tol && v[i] - tol <= p[i] + tol ) { } else if (v[i] + tol < p[i] - tol ) { return true; } else if ( v[i] - tol > p[i] + tol ) { return false; } } return false; } ostream & operator<< ( ostream& os, const Ptv& p) { if (p.size() >= 1) { os <<"["; for (unsigned int i=0; i< p.size()-1; i++) { os <= p[d] && v - tol <= p[d] ) return true; else return false; } syfi-1.0.0.dfsg.orig/syfi/Robust.cpp0000644000175000017500000004773211672223006017173 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Robust.h" #include #include "tools.h" using std::cout; using std::endl; using std::string; using GiNaC::exmap; namespace SyFi { Robust:: Robust() : StandardFE() { description = "Robust"; } Robust:: Robust(Polygon& p, int unsigned order, bool pointwise_) : StandardFE(p, order) { pointwise = pointwise_; compute_basis_functions(); } void Robust:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); GiNaC::ex nsymb = GiNaC::symbol("n"); GiNaC::ex tsymb = GiNaC::symbol("t"); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( p->str().find("Line") != string::npos ) { cout <<"Can not define the Robust element on a line"<str().find("Triangle") != string::npos ) { if (pointwise) { description = "Robust_2D"; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex V_space = bernsteinv(2, order+3, triangle, "a"); GiNaC::ex V = V_space.op(0); GiNaC::ex V_vars = V_space.op(1); GiNaC::ex divV = div(V); exmap basis2coeff = pol2basisandcoeff(divV); exmap::iterator iter; // div constraints: for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 ) { } if ( coeff != 0 && ( basis.degree(x) + basis.degree(y) > int(order) ) ) { equations.append( coeff == 0 ); } } // normal constraints on edges: for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::symbol s("s"); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(V, normal_vec); Vn = Vn.subs(line.repr(s).op(0)).subs(line.repr(s).op(1)); basis2coeff = pol2basisandcoeff(Vn,s); for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > int(order+1) ) { equations.append( coeff == 0 ); } } } if ( order%2==1 ) { // tangent constraints on edges: for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::symbol s("s"); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Vt = inner(V, tangent_vec); Vt = Vt.subs(line.repr(s).op(0)).subs(line.repr(s).op(1)); basis2coeff = pol2basisandcoeff(Vt,s); for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > int(order+2) ) { equations.append( coeff == 0 ); } } } } GiNaC::ex dofi; // dofs related to the normal on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(V, normal_vec); GiNaC::lst points = interior_coordinates(line, order + 1); GiNaC::ex edge_length = line.integrate(GiNaC::numeric(1)); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vn.subs(x == point.op(0)).subs(y == point.op(1))*edge_length; dofs.insert(dofs.end(), GiNaC::lst(point,nsymb)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); } } if ( order%2==0) { // dofs related to the tangent on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Vt = inner(V, tangent_vec); GiNaC::lst points = interior_coordinates(line, order); GiNaC::ex edge_length = line.integrate(GiNaC::numeric(1)); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vt.subs(x == point.op(0)).subs(y == point.op(1))*edge_length; dofs.insert(dofs.end(), GiNaC::lst(point,tsymb)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); } } } if ( order%2==1 ) { // dofs related to the tangent on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Vt = inner(V, tangent_vec); GiNaC::lst points = interior_coordinates(line, order-1); GiNaC::ex edge_length = line.integrate(GiNaC::numeric(1)); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vt.subs(x == point.op(0)).subs(y == point.op(1))*edge_length; dofs.insert(dofs.end(), GiNaC::lst(point,tsymb)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); } } } // dofs related to the whole triangle GiNaC::lst bernstein_polv; if ( order > 0) { GiNaC::lst points = interior_coordinates(triangle, order-1); GiNaC::ex point; GiNaC::ex eq; for (unsigned int i=0; i< points.nops(); i++) { point = points.op(i); // x - components of interior dofs dofi = V.op(0).subs(x == point.op(0)).subs(y == point.op(1)); eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,0)); // y - components of interior dofs dofi = V.op(1).subs(x == point.op(0)).subs(y == point.op(1)); eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,1)); } } variables = collapse(GiNaC::lst(V_vars.op(0),V_vars.op(1))); // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; ii int(order) ) ) { equations.append( coeff == 0 ); } } // normal constraints on edges: for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::symbol s("s"); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(V, normal_vec); Vn = Vn.subs(line.repr(s).op(0)).subs(line.repr(s).op(1)); basis2coeff = pol2basisandcoeff(Vn,s); for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > int(order+1) ) { equations.append( coeff == 0 ); } } } if ( order%2==1 ) { // tangent constraints on edges: for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::symbol s("s"); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Vt = inner(V, tangent_vec); Vt = Vt.subs(line.repr(s).op(0)).subs(line.repr(s).op(1)); basis2coeff = pol2basisandcoeff(Vt,s); for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > int(order+2) ) { equations.append( coeff == 0 ); } } } } // dofs related to the normal on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Pk1_space = bernstein(order+1, line, istr("a",i)); GiNaC::ex Pk1 = Pk1_space.op(2); GiNaC::ex Vn = inner(V, normal_vec); GiNaC::ex basis; for (unsigned int j=0; j< Pk1.nops(); j++) { basis = Pk1.op(j); GiNaC::ex integrand = Vn*basis; GiNaC::ex dofi = line.integrate(integrand); // dofs.insert(dofs.end(), dofi); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),j); dofs.insert(dofs.end(), d); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex n = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("normal_vec[0]"), GiNaC::symbol("normal_vec[1]"))); dof_repr.append(GiNaC::lst(inner(u,n)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } // dofs related to the tangent on the edges if ( order%2==0 ) { for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Pk_space = bernstein(order, line, istr("a",i)); GiNaC::ex Pk = Pk_space.op(2); GiNaC::ex Vt = inner(V, tangent_vec); GiNaC::ex basis; for (unsigned int j=0; j< Pk.nops(); j++) { basis = Pk.op(j); GiNaC::ex integrand = Vt*basis; GiNaC::ex dofi = line.integrate(integrand); // dofs.insert(dofs.end(), dofi); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),2); dofs.insert(dofs.end(), d); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex t = GiNaC::matrix(2,1,GiNaC::lst(-GiNaC::symbol("normal_vec[1]"), GiNaC::symbol("normal_vec[0]"))); dof_repr.append(GiNaC::lst(inner(u,t)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } } if ( order%2==1 ) { for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Pk_space = bernstein(order-1, line, istr("a",i)); GiNaC::ex Pk = Pk_space.op(2); GiNaC::ex Vt = inner(V, tangent_vec); GiNaC::ex basis; for (unsigned int j=0; j< Pk.nops(); j++) { basis = Pk.op(j); GiNaC::ex integrand = Vt*basis; GiNaC::ex dofi = line.integrate(integrand); // dofs.insert(dofs.end(), dofi); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),2); dofs.insert(dofs.end(), d); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex t = GiNaC::matrix(2,1,GiNaC::lst(-GiNaC::symbol("normal_vec[1]"), GiNaC::symbol("normal_vec[0]"))); dof_repr.append(GiNaC::lst(inner(u,t)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } } // dofs related to the whole triangle GiNaC::lst bernstein_polv; if ( order > 0) { bernstein_polv = bernsteinv(2,order-1, triangle, "a"); GiNaC::ex basis_space = bernstein_polv.op(2); for (unsigned int i=0; i< basis_space.nops(); i++) { GiNaC::lst basis = GiNaC::ex_to(basis_space.op(i)); GiNaC::ex integrand = inner(V, basis); GiNaC::ex dofi = triangle.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)), i); dofs.insert(dofs.end(), d); } } variables = collapse(GiNaC::lst(V_vars.op(0),V_vars.op(1))); // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; iistr().find("Line") != string::npos ) { cout <<"Can not define the Robust element on a line"<str().find("Triangle") != string::npos ) { description = "Robust_2D"; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex V_space = bernsteinv(2, order, triangle, "a"); GiNaC::ex V = V_space.op(0); GiNaC::ex V_vars = V_space.op(1); GiNaC::ex divV = div(V); exmap basis2coeff = pol2basisandcoeff(divV); exmap::iterator iter; // div constraints: for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && ( basis.degree(x) > 0 || basis.degree(y) > 0 ) ) { equations.append( coeff == 0 ); } } // constraints on edges: for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::symbol s("s"); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(V, normal_vec); Vn = Vn.subs(line.repr(s).op(0)).subs(line.repr(s).op(1)); basis2coeff = pol2basisandcoeff(Vn,s); for (iter = basis2coeff.begin(); iter != basis2coeff.end(); iter++) { GiNaC::ex basis = (*iter).first; GiNaC::ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > 1 ) { equations.append( coeff == 0 ); } } } // dofs related to the normal on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Pk1_space = bernstein(1, line, istr("a",i)); GiNaC::ex Pk1 = Pk1_space.op(2); GiNaC::ex Vn = inner(V, normal_vec); GiNaC::ex basis; for (unsigned int j=0; j< Pk1.nops(); j++) { basis = Pk1.op(j); GiNaC::ex integrand = Vn*basis; GiNaC::ex dofi = line.integrate(integrand); // dofs.insert(dofs.end(), dofi); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),j); dofs.insert(dofs.end(), d); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex n = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("normal_vec[0]"), GiNaC::symbol("normal_vec[1]"))); dof_repr.append(GiNaC::lst(inner(u,n)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } // dofs related to the tangent on the edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex Pk_space = bernstein(0, line, istr("a",i)); GiNaC::ex Pk = Pk_space.op(2); GiNaC::ex Vt = inner(V, tangent_vec); GiNaC::ex basis; for (unsigned int j=0; j< Pk.nops(); j++) { basis = Pk.op(j); GiNaC::ex integrand = Vt*basis; GiNaC::ex dofi = line.integrate(integrand); // dofs.insert(dofs.end(), dofi); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),2); dofs.insert(dofs.end(), d); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::ex u = GiNaC::matrix(2,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"))); GiNaC::ex t = GiNaC::matrix(2,1,GiNaC::lst(-GiNaC::symbol("normal_vec[1]"), GiNaC::symbol("normal_vec[0]"))); dof_repr.append(GiNaC::lst(inner(u,t)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")), d)); } } variables = collapse(GiNaC::lst(V_vars.op(0),V_vars.op(1))); GiNaC::matrix b; GiNaC::matrix A; matrix_from_equations(equations, variables, A, b); unsigned int ncols = A.cols(); GiNaC::matrix vars_sq(ncols, ncols); // matrix of symbols for (unsigned r=0; r(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #include "ElementComputations.h" #include "tools.h" using std::cout; using std::endl; namespace SyFi { void usage(FE& fe) { for (unsigned int i=0; i< fe.nbf(); i++) { cout <<"fe.N("<. #include "Dof.h" using namespace std; namespace SyFi { void Dof::clear() { counter = 0; emax = 0; imax = 0; loc2glob.clear(); dof2glob.clear(); glob2dof.clear(); glob2loc_map.clear(); } unsigned int Dof:: insert_dof(unsigned int e, unsigned int i, GiNaC::ex Li) { if (e > emax) emax = e; if (i > imax) imax = i; unsigned int return_dof; // check if the dof is new, if so // update counter, dof2glob and create // a new vector in glob2loc_map std::map< GiNaC::ex, unsigned int, GiNaC::ex_is_less >::iterator index_iter = dof2glob.find(Li); if( index_iter == dof2glob.end() ) { // define a new dof return_dof = counter; // count inserted global indices counter++; // the central "D -> global index" map dof2glob[Li] = return_dof; if ( create_glob2dof ) { std::pair p(return_dof, Li); glob2dof.insert(p); } if ( create_glob2loc ) { // initialize with empty vector glob2loc_map[return_dof] = vector_ii(); glob2loc_map[return_dof].reserve(imax); } } else // dof is not new { return_dof = index_iter->second; } // loc2glob should always be updated pair_ii index(e, i); loc2glob[index] = return_dof; // insert (e,i) in glob2loc_map[Li] if ( create_glob2loc ) { glob2loc_map[return_dof].push_back(index); } return return_dof; } unsigned int Dof::glob_dof(unsigned int e, unsigned int i) { pair_ii index(e, i); std::map::iterator res = loc2glob.find(index); if ( res == loc2glob.end() ) { //throw std::runtime_error("In glob_dof(e,i): Not found"); return -1; } return res->second; } unsigned int Dof::glob_dof(GiNaC::ex Lj) { std::map::iterator res = dof2glob.find(Lj); if ( res == dof2glob.end() ) { //throw std::runtime_error("In glob_dof(Lj): Not found"); return -1; } return res->second; } GiNaC::ex Dof::glob_dof(unsigned int j) { if ( !create_glob2dof ) { throw std::runtime_error("This structure has not been created, you must turn on the create_glob2dof flag before initialization!"); } std::map::iterator iter = glob2dof.find(j); if ( iter == glob2dof.end() ) { //throw std::runtime_error("In glob_dof(j): Not found"); std::cerr << "In glob_dof(j): Not found" << std::endl; return GiNaC::ex(); } return iter->second; } vector_ii Dof::glob2loc(unsigned int j) { if ( !create_glob2loc ) { throw std::runtime_error("This structure has not been created, you must turn on the create_glob2loc flag before initialization!"); } return glob2loc_map[j]; } } syfi-1.0.0.dfsg.orig/syfi/SpaceTimeElement.cpp0000644000175000017500000000744611672223006021077 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "symbol_factory.h" #include "diff_tools.h" #include "Lagrange.h" #include "P0.h" #include "SpaceTimeElement.h" namespace SyFi { SpaceTimeDomain::SpaceTimeDomain(Line& time_line_, Polygon& polygon_) { time_line = time_line_.copy(); polygon = polygon_.copy(); } SpaceTimeDomain* SpaceTimeDomain::copy() const { return new SpaceTimeDomain(*this); } SpaceTimeDomain::SpaceTimeDomain(const SpaceTimeDomain& domain) { if (time_line) { delete time_line; } if (polygon) { delete polygon; } time_line = domain.get_time_domain().copy(); polygon = domain.get_space_domain().copy(); } const std::string SpaceTimeDomain::str() const { return "Time" + polygon->str(); } unsigned int SpaceTimeDomain:: no_space_dim() const { return polygon->no_space_dim() +1; } Line SpaceTimeDomain ::line(unsigned int i) const { //FIXME // Could use the convention that the time line is the first line, the // next lines are the lines in the polygon return Line(); } GiNaC::ex SpaceTimeDomain:: repr(Repr_format format) const { return GiNaC::lst(time_line->repr(t, format), polygon->repr(format)); } GiNaC::ex SpaceTimeDomain::integrate(GiNaC::ex f, Repr_format format) { GiNaC::ex intf; // integrate in space intf = polygon->integrate(f, format); // integrate in time ((x,y,z) are now integrated away) intf = intf.subs( t == x ); intf = time_line->integrate(intf , format); return intf; } SpaceTimeElement:: SpaceTimeElement() : StandardFE() { description = "SpaceTimeElement"; } SpaceTimeElement:: SpaceTimeElement(Line* time_line_, unsigned int order_, StandardFE* fe_) { time_line = time_line_; order = order_; fe = fe_; compute_basis_functions(); } void SpaceTimeElement:: set_time_domain(Line* line_) { time_line = line_; } void SpaceTimeElement:: set_order_in_time(unsigned int order_) { order = order_; } void SpaceTimeElement:: set_spatial_element(StandardFE* fe_) { fe = fe_; } void SpaceTimeElement:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 1 ) { throw(std::logic_error("The elements must be of order 1 or higher.")); } if ( time_line == NULL ) { throw(std::logic_error("You need to set a time domain before the basisfunctions can be computed")); } if ( fe == NULL ) { throw(std::logic_error("You need to set a spatial element before the basisfunctions can be computed")); } StandardFE* time_element; if ( order == 0) { time_element = new P0(*time_line); } else { time_element = new Lagrange(*time_line, order); } for (unsigned int j = 0; j < fe->nbf(); j++) { GiNaC::ex Nj = fe->N(j); for (unsigned int i = 0; i < (*time_element).nbf(); i++) { GiNaC::ex Ni = (*time_element).N(i); Ni = Ni.subs(x == t); GiNaC::ex N = Nj*Ni; Ns.insert(Ns.end(), N); dofs.insert(dofs.end(), GiNaC::lst((*time_element).dof(i), fe->dof(j))); } } description = time_element->str() + "_" + fe->str(); delete time_element; } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/symbol_factory.cpp0000644000175000017500000001055111672223006020736 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "symbol_factory.h" #include "utilities.h" #include #include #include using namespace std; using namespace GiNaC; namespace SyFi { // TODO: make structure for these //namespace space //{ unsigned int nsd = 2; //GiNaC::symbol p[4]; GiNaC::symbol x("(x is not initialized since initSyFi has never been called)"); GiNaC::symbol y("(y is not initialized since initSyFi has never been called)"); GiNaC::symbol z("(z is not initialized since initSyFi has never been called)"); GiNaC::symbol t("(t is not initialized since initSyFi has never been called)"); GiNaC::lst p; //} GiNaC::symbol infinity("(infinity is not initialized since initSyFi has never been called)"); GiNaC::symbol DUMMY("(DUMMY is not initialized since initSyFi has never been called)"); // Initialize global variables of SyFi void initSyFi(unsigned int nsd_) { // initSyFi uses the global coordinates x for nsd == 1 // initSyFi uses the global coordinates x,y for nsd == 2 // initSyFi uses the global coordinates x,y,z for nsd == 3 // when nsd > 3 the coordinates can be found in the p, which is of type lst // FIXME: this whole thing is just a mess, but it's a nontrivial job to fix it all over syfi... SyFi::nsd = nsd_; SyFi::t = get_symbol("t"); SyFi::infinity = get_symbol("infinity"); SyFi::DUMMY = get_symbol("DUMMY"); SyFi::x = get_symbol("(SyFi::x is not initialized)"); SyFi::y = get_symbol("(SyFi::y is not initialized)"); SyFi::z = get_symbol("(SyFi::z is not initialized)"); /* std::cout << "SyFi::p before remove_all:" << std::endl; std::cout << SyFi::p << std::endl; */ SyFi::p.remove_all(); /* std::cout << "SyFi::p after remove_all:" << std::endl; std::cout << SyFi::p << std::endl; */ if ( nsd > 3 ) { SyFi::x = get_symbol("(SyFi::x is an invalid symbol when nsd>3)"); SyFi::y = get_symbol("(SyFi::y is an invalid symbol when nsd>3)"); SyFi::z = get_symbol("(SyFi::z is an invalid symbol when nsd>3)"); ex tmp = get_symbolic_vector(nsd, "x"); for (unsigned int i=0; i 0 ) { SyFi::x = get_symbol("x"); SyFi::p.append(SyFi::x); } if ( nsd > 1 ) { SyFi::y = get_symbol("y"); SyFi::p.append(SyFi::y); } if ( nsd > 2 ) { SyFi::z = get_symbol("z"); SyFi::p.append(SyFi::z); } } /* std::cout << "SyFi::p at end of initSyFi:" << std::endl; std::cout << SyFi::p << std::endl; */ } // =========== symbol factory implementation from ginac manual page 14-15 map symbol_collection; bool symbol_exists(const string & name) { return symbol_collection.find(name) != symbol_collection.end(); } const symbol & get_symbol(const string & name) { map::iterator i = symbol_collection.find(name); if( i != symbol_collection.end() ) { return i->second; } return symbol_collection.insert(make_pair(name, symbol(name))).first->second; } const symbol & isymb(const string & a, int b) { return get_symbol(istr(a,b)); } const symbol & isymb(const string & a, int b, int c) { return get_symbol(istr(a,b,c)); } GiNaC::ex get_symbolic_vector(int m, const std::string & basename) { GiNaC::matrix A(m,1); for(int i=0; i. #ifndef ARNOLDFALKWINTHERWEAKSYM #define ARNOLDFALKWINTHERWEAKSYM #include "FE.h" namespace SyFi { class ArnoldFalkWintherWeakSymSigma : public StandardFE { public: ArnoldFalkWintherWeakSymSigma(); ArnoldFalkWintherWeakSymSigma(Polygon& p, int order = 1 ); virtual ~ArnoldFalkWintherWeakSymSigma() {} virtual void compute_basis_functions(); }; class ArnoldFalkWintherWeakSymU : public StandardFE { public: ArnoldFalkWintherWeakSymU(); ArnoldFalkWintherWeakSymU(Polygon& p, int order = 1); virtual ~ArnoldFalkWintherWeakSymU() {} virtual void compute_basis_functions(); }; class ArnoldFalkWintherWeakSymP : public StandardFE { public: ArnoldFalkWintherWeakSymP(); ArnoldFalkWintherWeakSymP(Polygon& p, int order = 1); virtual ~ArnoldFalkWintherWeakSymP() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/FE.cpp0000644000175000017500000000423411672223006016175 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "FE.h" #include using namespace std; namespace SyFi { StandardFE:: StandardFE() { p = NULL; order = -1; description = "StandardFE"; } StandardFE:: StandardFE(Polygon& p_, unsigned int order) { p = NULL; set_polygon(p_); set_order(order); description = "StandardFE"; } StandardFE:: ~StandardFE() { if (p) { delete p; } } unsigned int StandardFE:: nbf() const { return Ns.size(); } std::string StandardFE:: str() { return description; } void StandardFE:: compute_basis_functions() { cout <<"StandardFE compute_basis_functions not implemented."< nbf()-1) { throw(std::out_of_range("The index is out of range!")); } return dofs[i]; } GiNaC::ex StandardFE::N(unsigned int i) { if ( i < 0 || i > nbf()-1) { throw(std::out_of_range("The index is out of range!")); } return Ns[i]; } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/syfi_version.h.in0000644000175000017500000000050011672223006020464 0ustar johannrjohannr#ifndef __SYFI_VERSION_H__ #define __SYFI_VERSION_H__ /* Major, minor, and micro version number of the SyFi library. */ int SYFILIB_MAJOR_VERSION = @SYFILIB_MAJOR_VERSION@; int SYFILIB_MINOR_VERSION = @SYFILIB_MINOR_VERSION@; char SYFILIB_MICRO_VERSION[] = "@SYFILIB_MICRO_VERSION@"; #endif // ndef __SYFI_VERSION_H__ syfi-1.0.0.dfsg.orig/syfi/OrderedPtvSet.h0000644000175000017500000000546511672223006020111 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef SIMPLEX_IS_INCLUDED #define SIMPLEX_IS_INCLUDED #include "Ptv.h" #include #include #include /* * Note: at present the OrderedPtvSet class is more general than a OrderedPtvSet. * It is actually a point set. Still, we will only use it as a OrderedPtvSet. * It might be that we should use a different name and/or implement * a sub class or something which is strictly a OrderedPtvSet. */ using namespace std; namespace SyFi { class OrderedPtvSet { vector Ptvs; public: OrderedPtvSet(); OrderedPtvSet(const Ptv& p0, const Ptv& p1); OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2); OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2, const Ptv& p3); virtual ~OrderedPtvSet(); void append(const Ptv& p); unsigned int size() const; const Ptv& operator [] (unsigned int i) const; Ptv& operator [] (unsigned int i); OrderedPtvSet& operator = (const OrderedPtvSet& p); bool less(const OrderedPtvSet& s) const; }; struct OrderedPtvSet_is_less : public std::binary_function { bool operator() (const OrderedPtvSet &lh, const OrderedPtvSet &rh) const { return lh.less(rh); } }; std::ostream & operator<< ( std::ostream& os, const OrderedPtvSet& p); // Note that this OrderedPtvSet_i might be implemented as a subclass ? class OrderedPtvSet_i { pair > si; public: OrderedPtvSet_i(); OrderedPtvSet_i(OrderedPtvSet& s, unsigned int i); OrderedPtvSet_i(OrderedPtvSet& s, unsigned int i0, unsigned int i1); virtual ~OrderedPtvSet_i(); const OrderedPtvSet& get_OrderedPtvSet() const; unsigned int get_i(unsigned int n) const; unsigned int size() const; bool less(const OrderedPtvSet_i& si) const; }; struct OrderedPtvSet_i_is_less : public std::binary_function { bool operator() (const OrderedPtvSet_i &lh, const OrderedPtvSet_i &rh) const { return lh.less(rh); } }; std::ostream & operator<< ( std::ostream& os, const OrderedPtvSet_i& si); } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Nedelec2Hdiv.h0000644000175000017500000000211211672223006017575 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef NEDELEC2HDIV_IS_INCLUDED #define NEDELEC2HDIV_IS_INCLUDED #include "FE.h" namespace SyFi { class Nedelec2Hdiv : public StandardFE { public: GiNaC::lst dof_repr; Nedelec2Hdiv(); Nedelec2Hdiv(Polygon& p, unsigned int order = 1); virtual ~Nedelec2Hdiv() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/OrderedPtvSet.cpp0000644000175000017500000001052411672223006020434 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Ptv.h" #include "OrderedPtvSet.h" #include #include #include namespace SyFi { // --- OrderedPtvSet OrderedPtvSet:: OrderedPtvSet() { } OrderedPtvSet::~OrderedPtvSet() { Ptvs.clear(); } OrderedPtvSet:: OrderedPtvSet(const Ptv& p0, const Ptv& p1) { Ptvs.push_back(p0); Ptvs.push_back(p1); std::sort(Ptvs.begin(), Ptvs.end(), Ptv_is_less()); } OrderedPtvSet:: OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2) { Ptvs.push_back(p0); Ptvs.push_back(p1); Ptvs.push_back(p2); std::sort(Ptvs.begin(), Ptvs.end(), Ptv_is_less()); } OrderedPtvSet:: OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2, const Ptv& p3) { Ptvs.push_back(p0); Ptvs.push_back(p1); Ptvs.push_back(p2); Ptvs.push_back(p3); std::sort(Ptvs.begin(), Ptvs.end(), Ptv_is_less()); } void OrderedPtvSet:: append(const Ptv& p) { Ptvs.push_back(p); std::sort(Ptvs.begin(), Ptvs.end(), Ptv_is_less()); } unsigned int OrderedPtvSet:: size() const { return Ptvs.size(); } const Ptv& OrderedPtvSet:: operator [] (unsigned int i) const { return Ptvs[i]; } Ptv& OrderedPtvSet:: operator [] (unsigned int i) { return Ptvs[i]; } OrderedPtvSet& OrderedPtvSet::operator = (const OrderedPtvSet& p) { if ( this != &p) { Ptvs.clear(); for (unsigned int i=0; i p.size() ) return false; for (unsigned int i=Ptvs.size()-1; i>= 0; i--) { if ( Ptvs[i].less(p[i]) && p[i].less(Ptvs[i])) { } else if ( Ptvs[i].less(p[i]) ) { return true; } else if ( p[i].less(Ptvs[i]) ) { return false; } } return false; } std::ostream & operator<< ( std::ostream& os, const OrderedPtvSet& p) { if (p.size() >= 1) { os <<"["; for (unsigned int i=0; i< p.size()-1; i++) { os <= 0 && n < si.second.size() ) { return si.second[n]; } else { throw(std::out_of_range("The index is out of range!")); } } unsigned int OrderedPtvSet_i:: size() const { return si.second.size(); } bool OrderedPtvSet_i::less(const OrderedPtvSet_i& ss) const { if ( si.second.size() < ss.size() ) return true; if ( si.second.size() > ss.size() ) return false; for (unsigned int d=0; d< si.second.size(); d++) { if ( si.second[d] < ss.get_i(d) ) return true; if ( si.second[d] > ss.get_i(d) ) return false; } return si.first.less(ss.get_OrderedPtvSet()); } std::ostream & operator<< ( std::ostream& os, const OrderedPtvSet_i& p) { cout <= 1) { os <<",["; for (unsigned int i=0; i< p.size()-1; i++) { os <. #include "Nedelec.h" #include #include "tools.h" using std::cout; using std::endl; using std::string; using GiNaC::exmap; namespace SyFi { Nedelec:: Nedelec() : StandardFE() { description = "Nedelec"; } Nedelec:: Nedelec(Polygon& p, int order) : StandardFE(p, order) { compute_basis_functions(); } void Nedelec:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 0 ) { throw(std::logic_error("Nedelec elements must be of order 0 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( p->str().find("Line") != string::npos ) { cout <<"Can not define the Nedelec element on a line"<str().find("Triangle") != string::npos ) { description = istr("Nedelec_", order) + "2D"; int k = order; int removed_dofs=0; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; // create r GiNaC::ex R_k = homogenous_polv(2,k+1, 2, "a"); GiNaC::ex R_k_x = R_k.op(0).op(0); GiNaC::ex R_k_y = R_k.op(0).op(1); // Equations that make sure that r*x = 0 GiNaC::ex rx = (R_k_x*x + R_k_y*y).expand(); exmap pol_map = pol2basisandcoeff(rx); exmap::iterator iter; for (iter = pol_map.begin(); iter != pol_map.end(); iter++) { if ((*iter).second != 0 ) { equations.append((*iter).second == 0 ); removed_dofs++; } } // create p GiNaC::ex P_k = bernsteinv(2,k, triangle, "b"); GiNaC::ex P_k_x = P_k.op(0).op(0); GiNaC::ex P_k_y = P_k.op(0).op(1); // collect the variables of r and p in one list variables = collapse(GiNaC::lst(collapse(GiNaC::ex_to(R_k.op(1))), collapse(GiNaC::ex_to(P_k.op(1))))); // create the polynomial space GiNaC::lst pspace = GiNaC::lst( R_k_x + P_k_x, R_k_y + P_k_y); int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex bernstein_pol = bernstein(order, line, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_t = inner(pspace, tangent_vec); GiNaC::ex basis; for (unsigned int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_t*basis; dofi = line.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),j); dofs.insert(dofs.end(), d); } } // dofs related to the whole triangle GiNaC::lst bernstein_polv; if ( order > 0) { counter++; bernstein_polv = bernsteinv(2,order-1, triangle, "a"); GiNaC::ex basis_space = bernstein_polv.op(2); for (unsigned int i=0; i< basis_space.nops(); i++) { GiNaC::lst basis = GiNaC::ex_to(basis_space.op(i)); GiNaC::ex integrand = inner(pspace, basis); dofi = triangle.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)), i); dofs.insert(dofs.end(), d); } } // invert the matrix: // GiNaC has a bit strange way to invert a matrix. // It solves the system AA^{-1} = Id. // It seems that this way is the only way to do // properly with the solve_algo::gauss flag. GiNaC::matrix b; GiNaC::matrix A; matrix_from_equations(equations, variables, A, b); unsigned int ncols = A.cols(); GiNaC::matrix vars_sq(ncols, ncols); // matrix of symbols for (unsigned r=0; r(b)); GiNaC::lst subs; for (unsigned int ii=0; iistr().find("Tetrahedron") != string::npos ) { description = istr("Nedelec_", order) + "3D"; int k = order; int removed_dofs=0; Tetrahedron& tetrahedron= (Tetrahedron&)(*p); GiNaC::lst equations; GiNaC::lst variables; // create r GiNaC::ex R_k = homogenous_polv(3,k+1, 3, "a"); GiNaC::ex R_k_x = R_k.op(0).op(0); GiNaC::ex R_k_y = R_k.op(0).op(1); GiNaC::ex R_k_z = R_k.op(0).op(2); // Equations that make sure that r*x = 0 GiNaC::ex rx = (R_k_x*x + R_k_y*y + R_k_z*z).expand(); exmap pol_map = pol2basisandcoeff(rx); exmap::iterator iter; for (iter = pol_map.begin(); iter != pol_map.end(); iter++) { if ((*iter).second != 0 ) { equations.append((*iter).second == 0 ); removed_dofs++; } } // create p GiNaC::ex P_k = bernsteinv(3,k, tetrahedron, "b"); GiNaC::ex P_k_x = P_k.op(0).op(0); GiNaC::ex P_k_y = P_k.op(0).op(1); GiNaC::ex P_k_z = P_k.op(0).op(2); // collect the variables of r and p in one list variables = collapse(GiNaC::lst(collapse(GiNaC::ex_to(R_k.op(1))), collapse(GiNaC::ex_to(P_k.op(1))))); // create the polynomial space GiNaC::lst pspace = GiNaC::lst( R_k_x + P_k_x, R_k_y + P_k_y, R_k_z + P_k_z); int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 6; i++) { Line line = tetrahedron.line(i); GiNaC::ex line_repr = line.repr(t); GiNaC::lst tangent_vec = GiNaC::lst(line_repr.op(0).rhs().coeff(t,1), line_repr.op(1).rhs().coeff(t,1), line_repr.op(2).rhs().coeff(t,1)); GiNaC::ex bernstein_pol = bernstein(order, line, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_t = inner(pspace, tangent_vec); GiNaC::ex basis; for (unsigned int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_t*basis; dofi = line.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); GiNaC::lst d = GiNaC::lst(GiNaC::lst(line.vertex(0), line.vertex(1)),j); dofs.insert(dofs.end(), d); } } // dofs related to faces if ( order > 0 ) { for (int i=0; i< 4; i++) { Triangle triangle = tetrahedron.triangle(i); GiNaC::ex bernstein_pol = bernsteinv(3,order-1, triangle, istr("b", i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex basis; GiNaC::lst normal_vec = normal(tetrahedron, i); GiNaC::ex pspace_n = cross(pspace, normal_vec); if ( normal_vec.op(0) != GiNaC::numeric(0) && normal_vec.op(1) != GiNaC::numeric(0) && normal_vec.op(2) != GiNaC::numeric(0) ) { for (unsigned int j=0; j 1 ) { GiNaC::ex bernstein_pol = bernsteinv(3,order-2, tetrahedron, istr("c", 0)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex basis; for (unsigned int j=0; j(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #include "DofT.h" #include "OrderedPtvSet.h" typedef DofT Dof_OrderedPtvSet; typedef DofT Dof_OrderedPtvSet_i; syfi-1.0.0.dfsg.orig/syfi/Hermite.cpp0000644000175000017500000002503611672223006017303 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Hermite.h" #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { Hermite:: Hermite() : StandardFE() { description = "Hermite"; } Hermite:: Hermite(Polygon& p, int order) : StandardFE(p,order) { compute_basis_functions(); } void Hermite:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } GiNaC::ex polynom_space; GiNaC::ex polynom; GiNaC::lst variables; GiNaC::lst equations; if ( p->str().find("Line") != string::npos ) { description = "Hermite_1D"; polynom_space = legendre(3, 1, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); for (int i=0; i< 2; i++) { GiNaC::ex v = p->vertex(i); GiNaC::ex dofv = polynom.subs(GiNaC::lst(x == v.op(0))); GiNaC::ex dofvdx = diff(polynom,x).subs(GiNaC::lst(x == v.op(0))); equations.append( dofv == GiNaC::numeric(0)); equations.append( dofvdx == GiNaC::numeric(0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), 0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), 1)); } } if ( p->str().find("Triangle") != string::npos ) { description = "Hermite_2D"; polynom_space = pol(3, 2, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); for (int i=0; i<= 2; i++) { GiNaC::ex v = p->vertex(i); GiNaC::ex dofv = polynom.subs(GiNaC::lst(x == v.op(0), y == v.op(1))); GiNaC::ex dofvdx = diff(polynom,x).subs(GiNaC::lst(x == v.op(0), y == v.op(1))); GiNaC::ex dofvdy = diff(polynom,y).subs(GiNaC::lst(x == v.op(0), y == v.op(1))); equations.append( dofv == GiNaC::numeric(0)); equations.append( dofvdx == GiNaC::numeric(0)); equations.append( dofvdy == GiNaC::numeric(0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 1)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 2)); } GiNaC::ex midpoint = GiNaC::lst((p->vertex(0).op(0) + p->vertex(1).op(0) + p->vertex(2).op(0))/3, (p->vertex(0).op(1) + p->vertex(1).op(1) + p->vertex(2).op(1))/3); GiNaC::ex dofm = polynom.subs(GiNaC::lst(x == midpoint.op(0), y == midpoint.op(1))); dofs.insert(dofs.end(), midpoint ); equations.append( dofm == GiNaC::numeric(0)); } else if ( p->str().find("Rectangle") != string::npos ) { description = "Hermite_2D"; polynom_space = legendre(3, 2, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); for (int i=0; i< 4; i++) { GiNaC::ex v = p->vertex(i); GiNaC::ex dofv = polynom.subs(GiNaC::lst(x == v.op(0), y == v.op(1))); GiNaC::ex dofvdx = diff(polynom,x).subs(GiNaC::lst(x == v.op(0), y == v.op(1))); GiNaC::ex dofvdy = diff(polynom,y).subs(GiNaC::lst(x == v.op(0), y == v.op(1))); GiNaC::ex dofvdyx = diff(diff(polynom,y),x).subs(GiNaC::lst(x == v.op(0), y == v.op(1))); equations.append( dofv == GiNaC::numeric(0)); equations.append( dofvdx == GiNaC::numeric(0)); equations.append( dofvdy == GiNaC::numeric(0)); equations.append( dofvdyx == GiNaC::numeric(0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 1)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 2)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 3)); } } else if ( p->str().find("Tetrahedron") != string::npos ) { description = "Hermite_3D"; polynom_space = pol(3, 3, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); for (int i=0; i<= 3; i++) { GiNaC::ex v = p->vertex(i); GiNaC::ex dofv = polynom.subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdx = diff(polynom,x).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdy = diff(polynom,y).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdz = diff(polynom,z).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); equations.append( dofv == GiNaC::numeric(0)); equations.append( dofvdx == GiNaC::numeric(0)); equations.append( dofvdy == GiNaC::numeric(0)); equations.append( dofvdz == GiNaC::numeric(0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 1)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 2)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), 3)); } GiNaC::ex midpoint1 = GiNaC::lst( (p->vertex(0).op(0)*2 + p->vertex(1).op(0) + p->vertex(2).op(0) + p->vertex(3).op(0))/5, (p->vertex(0).op(1)*2 + p->vertex(1).op(1) + p->vertex(2).op(1) + p->vertex(3).op(1))/5, (p->vertex(0).op(2)*2 + p->vertex(1).op(2) + p->vertex(2).op(2) + p->vertex(3).op(2))/5); GiNaC::ex midpoint2 = GiNaC::lst( (p->vertex(0).op(0) + p->vertex(1).op(0)*2 + p->vertex(2).op(0) + p->vertex(3).op(0))/5, (p->vertex(0).op(1) + p->vertex(1).op(1)*2 + p->vertex(2).op(1) + p->vertex(3).op(1))/5, (p->vertex(0).op(2) + p->vertex(1).op(2)*2 + p->vertex(2).op(2) + p->vertex(3).op(2))/5); GiNaC::ex midpoint3 = GiNaC::lst( (p->vertex(0).op(0) + p->vertex(1).op(0) + p->vertex(2).op(0)*2 + p->vertex(3).op(0))/5, (p->vertex(0).op(1) + p->vertex(1).op(1) + p->vertex(2).op(1)*2 + p->vertex(3).op(1))/5, (p->vertex(0).op(2) + p->vertex(1).op(2) + p->vertex(2).op(2)*2 + p->vertex(3).op(2))/5); GiNaC::ex midpoint4 = GiNaC::lst( (p->vertex(0).op(0) + p->vertex(1).op(0) + p->vertex(2).op(0) + p->vertex(3).op(0)*2)/5, (p->vertex(0).op(1) + p->vertex(1).op(1) + p->vertex(2).op(1) + p->vertex(3).op(1)*2)/5, (p->vertex(0).op(2) + p->vertex(1).op(2) + p->vertex(2).op(2) + p->vertex(3).op(2)*2)/5); GiNaC::ex dofm1 = polynom.subs(GiNaC::lst(x == midpoint1.op(0), y == midpoint1.op(1), z == midpoint1.op(2))); GiNaC::ex dofm2 = polynom.subs(GiNaC::lst(x == midpoint2.op(0), y == midpoint2.op(1), z == midpoint2.op(2))); GiNaC::ex dofm3 = polynom.subs(GiNaC::lst(x == midpoint3.op(0), y == midpoint3.op(1), z == midpoint3.op(2))); GiNaC::ex dofm4 = polynom.subs(GiNaC::lst(x == midpoint4.op(0), y == midpoint4.op(1), z == midpoint4.op(2))); dofs.insert(dofs.end(), midpoint1 ); dofs.insert(dofs.end(), midpoint2 ); dofs.insert(dofs.end(), midpoint3 ); dofs.insert(dofs.end(), midpoint4 ); equations.append( dofm1 == GiNaC::numeric(0)); equations.append( dofm2 == GiNaC::numeric(0)); equations.append( dofm3 == GiNaC::numeric(0)); equations.append( dofm4 == GiNaC::numeric(0)); } else if ( p->str().find("Box") != string::npos ) { description = "Hermite_3D"; polynom_space = legendre(3, 3, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); for (int i=0; i<= 7; i++) { GiNaC::ex v = p->vertex(i); GiNaC::ex dofv = polynom.subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdx = diff(polynom,x).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdy = diff(polynom,y).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdyx = diff(diff(polynom,y),x).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdz = diff(polynom,z).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdzy = diff(diff(polynom,z),y).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdzx = diff(diff(polynom,z),x).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); GiNaC::ex dofvdzyx = diff(diff(diff(polynom,z),y),x).subs(GiNaC::lst(x == v.op(0), y == v.op(1), z == v.op(2) )); equations.append( dofv == GiNaC::numeric(0)); equations.append( dofvdx == GiNaC::numeric(0)); equations.append( dofvdy == GiNaC::numeric(0)); equations.append( dofvdyx == GiNaC::numeric(0)); equations.append( dofvdz == GiNaC::numeric(0)); // FIXME check Andrew/Ola numbering equations.append( dofvdzy == GiNaC::numeric(0)); // FIXME check Andrew/Ola numbering equations.append( dofvdzx == GiNaC::numeric(0)); equations.append( dofvdzyx == GiNaC::numeric(0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 0)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 1)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 2)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 3)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 4)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 5)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 6)); dofs.insert(dofs.end(), GiNaC::lst(v.op(0), v.op(1), v.op(2), 7)); } } GiNaC::matrix b; GiNaC::matrix A; matrix_from_equations(equations, variables, A, b); unsigned int ncols = A.cols(); GiNaC::matrix vars_sq(ncols, ncols); // matrix of symbols for (unsigned r=0; r(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #include "ginac_tools.h" #include "symbol_factory.h" #include #include #include #include #include using namespace std; using namespace GiNaC; namespace SyFi { GiNaC::lst cross(GiNaC::lst& v1, GiNaC::lst& v2) { GiNaC::lst ret; if ( v1.nops() != v2.nops() ) { cout <<"incompatible vectors "<(a) && GiNaC::is_a(b)) { GiNaC::matrix ma = GiNaC::ex_to(a); GiNaC::matrix mb = GiNaC::ex_to(b); if ( !transposed ) { if (ma.cols() != mb.cols() || ma.rows() != mb.rows() ) { cout <<"Incompatible matrices "<(a) && GiNaC::is_a(b)) { return inner(GiNaC::ex_to(a), GiNaC::ex_to(b)); } else { return a*b; } } GiNaC::ex inner(GiNaC::lst v1, GiNaC::lst v2) { GiNaC::ex ret; if ( v1.nops() != v2.nops() ) { cout <<"incompatible vectors "<(v1.op(i)) && GiNaC::is_a(v2.op(i)) ) { ret += inner(GiNaC::ex_to(v1.op(i)), GiNaC::ex_to(v2.op(i))); } else { ret += v1.op(i)*v2.op(i); } } return ret; } GiNaC::ex inner(GiNaC::exvector& v1, GiNaC::exvector& v2) { GiNaC::ex ret; for (unsigned int i=0; i< v1.size(); i++) { ret += v1[i]*v2[i]; } return ret; } GiNaC::lst matvec(GiNaC::matrix& M, GiNaC::lst& x) { GiNaC::lst ret; int nr = M.rows(); int nc = M.cols(); for (int i = 0; i < nr; i++) { GiNaC::ex tmp; for (int j = 0; j < nc; j++) { tmp = tmp + M(i,j)*(x.op(j)); } ret.append(tmp); } return ret; } GiNaC::ex matvec(GiNaC::ex A, GiNaC::ex x) { ex sol; if (GiNaC::is_a(A) && GiNaC::is_a(x)) { GiNaC::matrix AA = GiNaC::ex_to(A); GiNaC::matrix xx = GiNaC::ex_to(x); sol = AA.mul(xx); } else { throw std::runtime_error("Invalid argument types, need matrices"); } return sol; } GiNaC::lst ex2equations(GiNaC::ex rel) { GiNaC::ex lhs = rel.lhs(); GiNaC::ex rhs = rel.rhs(); GiNaC::ex l; GiNaC::ex r; GiNaC::lst eqs; for (int i=lhs.ldegree(x); i<=lhs.degree(x); ++i) { for (int j=lhs.ldegree(y); j<=lhs.degree(y); ++j) { for (int k=lhs.ldegree(z); k<=lhs.degree(z); ++k) { l = lhs.coeff(x,i).coeff(y, j).coeff(z,k); r = rhs.coeff(x,i).coeff(y, j).coeff(z,k); // if (! (l == 0 && r == 0 ) ) eqs.append(l == r); OLD VERSION if ( (l != 0 && (r == 0 || r == 1) ) ) eqs.append(l == r); } } } eqs.sort(); return eqs; } GiNaC::lst collapse(GiNaC::lst l) { GiNaC::lst lc; GiNaC::lst::const_iterator iter1, iter2; for (iter1 = l.begin(); iter1 != l.end(); ++iter1) { if (GiNaC::is_a(*iter1)) { for (iter2 = GiNaC::ex_to(*iter1).begin(); iter2 != GiNaC::ex_to(*iter1).end(); ++iter2) { lc.append(*iter2); } } else { lc.append(*iter1); } } lc.sort(); lc.unique(); return lc; } GiNaC::matrix equations2matrix(const GiNaC::ex &eqns, const GiNaC::ex &symbols) { GiNaC::matrix sys(eqns.nops(),symbols.nops()); GiNaC::matrix rhs(eqns.nops(),1); GiNaC::matrix vars(symbols.nops(),1); for (size_t r=0; r(symbols.op(c)),1); linpart -= co*symbols.op(c); sys(r,c) = co; } linpart = linpart.expand(); rhs(r,0) = -linpart; } return sys; } void matrix_from_equations(const GiNaC::ex &eqns, const GiNaC::ex &symbols, GiNaC::matrix& A, GiNaC::matrix& b) { // build matrix from equation system GiNaC::matrix sys(eqns.nops(),symbols.nops()); GiNaC::matrix rhs(eqns.nops(),1); GiNaC::matrix vars(symbols.nops(),1); for (size_t r=0; r(symbols.op(c)),1); linpart -= co*symbols.op(c); sys(r,c) = co; } linpart = linpart.expand(); rhs(r,0) = -linpart; } A = sys; b = rhs; } GiNaC::ex lst_to_matrix2(const GiNaC::lst& l) { GiNaC::lst::const_iterator itr, itc; // Find number of rows and columns size_t rows = l.nops(), cols = 0; for (itr = l.begin(); itr != l.end(); ++itr) { if (!GiNaC::is_a(*itr)) // throw (std::invalid_argument("lst_to_matrix: argument must be a list of lists")); cols = 1; if (itr->nops() > cols) cols = itr->nops(); } // Allocate and fill matrix GiNaC::matrix &M = *new GiNaC::matrix(rows, cols); M.setflag(GiNaC::status_flags::dynallocated); unsigned i; for (itr = l.begin(), i = 0; itr != l.end(); ++itr, ++i) { unsigned j; if (cols == 1) { M(i, 0) = *itr; } else { for (itc = GiNaC::ex_to(*itr).begin(), j = 0; itc != GiNaC::ex_to(*itr).end(); ++itc, ++j) M(i, j) = *itc; } } return M; } GiNaC::lst matrix_to_lst2(const GiNaC::ex& m) { if (GiNaC::is_a(m)) { GiNaC::matrix A = GiNaC::ex_to(m); int cols = A.cols(); int rows = A.rows(); GiNaC::lst ret; if ( cols == 1 ) { for (unsigned int i=0; i<=A.rows()-1; i++) { ret.append(A(i,0)); } } else if ( rows == 1 ) { for (unsigned int i=0; i<=A.cols()-1; i++) { ret.append(A(0,i)); } } else { for (unsigned int i=0; i<=A.rows()-1; i++) { GiNaC::lst rl; for (unsigned int j=0; j<=A.cols()-1; j++) { rl.append(A(i,j)); } ret.append(rl); } } return ret; } else { return GiNaC::lst(); } } GiNaC::lst lst_equals(GiNaC::ex a, GiNaC::ex b) { GiNaC::lst ret; if ( (GiNaC::is_a(a)) && (GiNaC::is_a(b)) /*&& (a.nops() == b.nops())*/ ) { for (unsigned int i=0; i<= a.nops()-1; i++) { ret.append(b.op(i) == a.op(i)); } } else if ( !(GiNaC::is_a(a)) && !(GiNaC::is_a(b))) { ret.append(b == a); } else if ( !(GiNaC::is_a(a)) && (GiNaC::is_a(b))) { ret.append(b.op(0) == a); } else { throw(std::invalid_argument("Make sure that the lists a and b are comparable.")); } return ret; } int find(GiNaC::ex e, GiNaC::lst list) { for (unsigned int i=0; i< list.nops(); i++) { if ( e == list.op(i) ) return i; } return -1; } void visitor_subst_pow(GiNaC::ex e, GiNaC::exmap& map, ex_int_map& intmap, string a) { static int i=0; if (map.find(e) != map.end()) { intmap[e] = intmap[e]+1; return; } if (GiNaC::is_exactly_a(e)) { std::ostringstream s; s <(e)) { std::ostringstream s; s <(e)) { if (e.nops() > 4 && e.nops() < 10 ) { std::ostringstream s; s <(e)) { for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); visitor_subst_pow(e2,map,intmap,a); } } } void check_visitor(GiNaC::ex e, GiNaC::lst& exlist) { if (find(e, exlist) >= 0) return; // cout <<"ex e "<(e)) { } else if (GiNaC::is_a(e) ) { // cout <<"e "< 4 && e.nops() < 10 ) exlist.append(e); for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); // cout <<"add e "<(e)) { for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); // cout <<"mul e "<(e)) { for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); // cout <<"GiNaC::lst e "<(e)) { exlist.append(e); for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); // cout <<"power e "<(e)) { exlist.append(e); for (unsigned int i=0; i< e.nops(); i++) { GiNaC::ex e2 = e.op(i); // cout <<"function e "<(polspace.op(2)); for (GiNaC::lst::const_iterator basis_iterator = basis_tmp.begin(); basis_iterator != basis_tmp.end(); ++basis_iterator) { GiNaC::lst tmp_lst; for (unsigned int d=1; d<=no_fields; d++) tmp_lst.append(0); tmp_lst.let_op(i) = (*basis_iterator); ret3.append(tmp_lst); } } return GiNaC::lst(ret1,ret2,ret3); } GiNaC::ex pol(unsigned int order, unsigned int nsd, const string a) { using SyFi::x; using SyFi::y; using SyFi::z; GiNaC::ex ret; // ex to return int dof; // degrees of freedom GiNaC::ex A; // ex holding the coefficients a_0 .. a_dof GiNaC::lst basis; if (nsd == 1) { /* 1D: * P^n = a_0 + a_1*x + .... + a_n*x^n * dof : n+1 */ dof = order+1; A = get_symbolic_matrix(1,dof, a); int o=0; for (GiNaC::const_iterator i = A.begin(); i != A.end(); ++i) { ret += (*i)*pow(x,o); basis.append(pow(x,o)); o++; } } else if ( nsd == 2) { /* 2D: structure of coefficients (a_i) * [ a_0 a_1 x a_3 x^2 a_6 x^3 * [ a_2 y a_4 xy a_7 x^2y * [ a_5 y^2 a_8 xy^2 * [ a_9 y^3 */ dof = (order+1)*(order+2)/2; A = get_symbolic_matrix(1, dof , a); size_t i=0; for (unsigned int o = 0; o <= order; o++) { for (unsigned int d = 0; d <= o; d++) { ret += A.op(i)*pow(y,d)*pow(x,o-d); basis.append(pow(y,d)*pow(x,o-d)); i++; } } } else if (nsd == 3) { /* Similar structure as in 2D, but * structured as a tetraheder, i.e., * a_o + a_1 x + a_2 y + a_3 z * + a_4 x^2 + a_5 xy + */ dof = 0; for (unsigned int j=0; j<= order; j++) { dof += (j+1)*(j+2)/2; } A = get_symbolic_matrix(1, dof , a); size_t i=0; for (unsigned int o = 0; o <= order; o++) { for (unsigned int d = 0; d <= o; d++) { for (unsigned int f = 0; f <= o; f++) { if ( int(o)-int(d)-int(f) >= 0) { ret += A.op(i)*pow(y,f)*pow(z,d)*pow(x,o-d-f); basis.append(pow(y,f)*pow(z,d)*pow(x,o-d-f)); i++; } } } } } return GiNaC::lst(ret,matrix_to_lst2(A), basis); } GiNaC::lst polv(unsigned int no_fields, unsigned int order, unsigned int nsd, const string a) { GiNaC::lst ret1; // contains the polynom GiNaC::lst ret2; // contains the coefficients GiNaC::lst ret3; // constains the basis functions GiNaC::lst basis_tmp; for (unsigned int i=0; i< no_fields; i++) { GiNaC::lst basis; std::ostringstream s; s <(polspace.op(2)); for (GiNaC::lst::const_iterator basis_iterator = basis_tmp.begin(); basis_iterator != basis_tmp.end(); ++basis_iterator) { GiNaC::lst tmp_lst; for (unsigned int d=1; d<=no_fields; d++) tmp_lst.append(0); tmp_lst.let_op(i) = (*basis_iterator); ret3.append(tmp_lst); } } return GiNaC::lst(ret1,ret2,ret3); /* Old Code: GiNaC::lst ret; for (int i=1; i<= nsd; i++) { std::ostringstream s; s <(s)) { GiNaC::symbol ss = GiNaC::ex_to(s); e = expand(e); GiNaC::ex c; GiNaC::ex b; GiNaC::exmap map; for (int i=e.ldegree(ss); i<=e.degree(ss); ++i) { c = e.coeff(ss,i); b = pow(ss,i); map[b] = c; } return map; } else { throw(std::invalid_argument("The second argument must be a symbol.")); } } GiNaC::exmap pol2basisandcoeff(GiNaC::ex e) { using SyFi::x; using SyFi::y; using SyFi::z; e = expand(e); GiNaC::ex c; GiNaC::ex b; GiNaC::exmap map; for (int i=e.ldegree(x); i<=e.degree(x); ++i) { for (int j=e.ldegree(y); j<=e.degree(y); ++j) { for (int k=e.ldegree(z); k<=e.degree(z); ++k) { c = e.coeff(x,i).coeff(y, j).coeff(z,k); b = pow(x,i)*pow(y,j)*pow(z,k); map[b] = c; } } } return map; } GiNaC::ex legendre1D(const GiNaC::symbol x, unsigned int n) { GiNaC::ex P; // Rodrigue's formula for Legendre polynomial of 1D // The interval [-1, 1] P=1/(pow(2,n)*GiNaC::factorial(n))*GiNaC::diff(GiNaC::pow((x*x-1),n),x,n); // ----------------- // The interval [0,1] // GiNaC::ex xx = 2*x - 1; // P=1/(pow(2,2*n)*GiNaC::factorial(n))*GiNaC::diff(GiNaC::pow((xx*xx-1),n),x,n); return P; } GiNaC::ex legendre(unsigned int order, unsigned int nsd, const string s) { using SyFi::x; using SyFi::y; using SyFi::z; // The Legendre polynomials to be used in FiniteElement GiNaC::ex leg; GiNaC::ex A; GiNaC::lst basis; int dof; GiNaC::ex b; // 1D if(nsd == 1) { dof = order+1; A = get_symbolic_matrix(1,dof,s); int o=0; for(GiNaC::const_iterator i = A.begin(); i!=A.end(); ++i) { b= legendre1D(x,o); leg+= (*i)*b; basis.append(b); o++; } } // 2D /* else if(nsd == 2){ // NB: Only for tensor products on TRIANGLES (not boxes) / * 2D: structure of coefficients (a_i) * [ a_0 a_1 P_1(x) a_3 P_2(x) a_6 P_3(x) * [ a_2 P_1(y) a_4 P_1(x)*P_1(y) a_7 P_2(x)*P_1(y) * [ a_5 P_2(y) a_8 P_1(x)*P_2(y) * [ a_9 P_3(y) * / dof = (order+1)*(order+2)/2; A = get_symbolic_matrix(1,dof,s); size_t i=0; for (int o = 0; o <= order; o++) { for (int d = 0; d <= o; d++) { b = legendre1D(y,d)*legendre1D(x,o-d); leg += A.op(i)*b; basis.append(b); i++; } } } */ else if(nsd == 2) // NB: Only for tensor products on rectangles { dof = (order+1)*(order+1); A = get_symbolic_matrix(1,dof,s); size_t i=0; for (unsigned int o = 0; o <= order; o++) { for (unsigned int d = 0; d <= order; d++) { b = legendre1D(y,d)*legendre1D(x,o); leg += A.op(i)*b; basis.append(b); i++; } } } /* tetrahedron else if(nsd==3){ dof = 0; for (int j=0; j<= order; j++) { dof += (j+1)*(j+2)/2; } A = get_symbolic_matrix(1, dof , s); size_t i=0; for (int o = 0; o <= order; o++) { for (int d = 0; d <= o; d++) { for (int f = 0; f <= o; f++) { if ( o-d-f >= 0) { b = legendre1D(y,f)*legendre1D(z,d)*legendre1D(x,o-d-f); leg += A.op(i)*b; basis.append(b); i++; } } } } } */ else if(nsd==3) { dof = (order+1)*(order+1)*(order+1); A = get_symbolic_matrix(1, dof , s); size_t i=0; for (unsigned int o = 0; o <= order; o++) { for (unsigned int d = 0; d <= order; d++) { for (unsigned int f = 0; f <= order; f++) { b = legendre1D(y,f)*legendre1D(z,d)*legendre1D(x,o); leg += A.op(i)*b; basis.append(b); i++; } } } } return GiNaC::lst(leg,matrix_to_lst2(A), basis); } GiNaC::lst legendrev(unsigned int no_fields, unsigned int order, unsigned int nsd, const string a) { GiNaC::lst ret1; // contains the polynom GiNaC::lst ret2; // contains the coefficients GiNaC::lst ret3; // constains the basis functions GiNaC::lst basis_tmp; for (unsigned int i=1; i<= no_fields; i++) { GiNaC::lst basis; std::ostringstream s; s <(polspace.op(2)); for (GiNaC::lst::const_iterator basis_iterator = basis_tmp.begin(); basis_iterator != basis_tmp.end(); ++basis_iterator) { GiNaC::lst tmp_lst; for (unsigned int d=1; d<=no_fields; d++) tmp_lst.append(0); tmp_lst.let_op(i-1) = (*basis_iterator); ret3.append(tmp_lst); } } return GiNaC::lst(ret1,ret2,ret3); } bool compare(const ex & e, const string & s) { ostringstream ss; ss << e; return ss.str() == s; } void EQUAL_OR_DIE(const ex & e, const string & s) { if (!compare(e, s)) { ostringstream os; os << "ERROR: expression e: " <second++; } else { //GiNaC::exmap::value_type p(ex(s), ex(s)); //symbolmap.insert(p); symbolmap[ex(s)] = ex(s); } } }; class SymbolCounterVisitor: public visitor, public symbol::visitor, public basic::visitor { public: exhashmap symbolcount; void visit(const basic & s) { std::cout << "visiting basic " << std::endl; } void visit(const symbol & s) { ex e = s; std::cout << "visiting symbol " << e << std::endl; exhashmap::iterator it = symbolcount.find(s); if(it != symbolcount.end()) { std::cout << "found symbol " << e << std::endl; it->second++; } else { std::cout << "adding symbol " << e << std::endl; pair p; p.first = ex(s); p.second = 1; symbolcount.insert(p); } } }; exhashmap count_symbols(const ex & e) { SymbolCounterVisitor v; e.traverse(v); return v.symbolcount; } /* GiNaC::exvector get_symbols3(const GiNaC::ex & e) { // Implemented directly to avoid copying map: SymbolCounterVisitor v; e.traverse(v); exhashmap & sc = v.symbolcount; int i = 0; GiNaC::exvector l(sc.size()); for(exhashmap::iterator it=sc.begin(); it!=sc.end(); it++) { //l.push_back(it->first); l[i] = it->first; i++; } return l; } std::list get_symbols2(const ex & e) { // Implemented directly to avoid copying map: SymbolCounterVisitor v; e.traverse(v); exhashmap & sc = v.symbolcount; list l; for(exhashmap::iterator it=sc.begin(); it!=sc.end(); it++) { l.push_back(it->first); } return l; } void get_symbols(const ex & e, GiNaC::exmap & em) { SymbolMapBuilderVisitor v(em); e.traverse(v); } */ ex extract_symbols(const ex & e) { // Implemented directly to avoid copying map: SymbolCounterVisitor v; e.traverse(v); exhashmap & sc = v.symbolcount; lst l; for(exhashmap::iterator it=sc.begin(); it!=sc.end(); it++) { l.append(it->first); std::cout << (it->first) << std::endl; } ex ret = l; return ret; } // Collect all symbols of an expression void collect_symbols(const GiNaC::ex & e, exset & v) { if (GiNaC::is_a(e)) { v.insert(e); } else { for (size_t i=0; i> a1; if2 >> a2; // compare size int n = a1.num_expressions(); int n2 = a2.num_expressions(); if(n != n2) { os << "Archives " << first << " and " << second << " has a different number of expressions, " << n << " and " << n2 << "." << endl; os << "Comparing common expressions." << endl; ret = false; } // iterate over all expressions in first archive ex e1,e2; for(int i=0; i(extract_symbols(e1)); // os << "Comparing " << exname << " with symbols " << syms << endl; // is this in the second archive? try { e2 = a2.unarchive_ex(syms, exname.c_str()); // got it, now compare bool isequal = is_zero(e1-e2); if(!isequal) { if(ret) { os << "Archives " << first << " and " << second << " are not equal, details follow:" << endl; } os << "Expression with name " << exname << " is not equal:" << endl; os << "First: " << endl << e1 << endl; os << "Second: " << endl << e2 << endl; ret = false; } } catch(...) { os << "Expression " << exname << " is missing from " << second << "." << endl; ret = false; } } return ret; } class ExStatsVisitor: public visitor, public power::visitor, public mul::visitor, public add::visitor, public function::visitor { public: ExStats es; void visit(const power & e) { //cout << "pow" << endl; ex b = e.op(1); ex c = b.evalf(); if( is_a(c) ) { numeric nu = ex_to(c); int n = (int) to_double(nu); if( is_zero(nu-n) ) { // is an integer power, interpret as a sequence of multiplications es.muls += n-1; es.flops += n-1; } } es.pows++; } void visit(const mul & e) { //cout << "mul" << endl; es.muls += e.nops()-1; es.flops += e.nops()-1; } void visit(const add & e) { //cout << "add" << endl; es.adds += e.nops()-1; es.flops += e.nops()-1; } void visit(const function & e) { //cout << "func" << endl; es.functions++; } }; ExStats count_ops(const ex & e) { //cout << "count_ops " << e << endl; //cout << "is an add: " << GiNaC::is(e) << endl; //cout << "is a mul: " << GiNaC::is(e) << endl; ExStatsVisitor v; e.traverse(v); return v.es; } // =========== expression manipulation utilities // Returns in sel a list with symbol/expression pairs for all // power replacement variables introduced. Works best on // expressions in expanded form. ex replace_powers(const ex & ein, const list & symbols, list & sel, const string & tmpsymbolprefix) { ex e = ein; // build power expressions list::const_iterator it = symbols.begin(); for(; it != symbols.end(); it++) { int deg = e.degree(*it); if(deg > 0) { symbol sym = ex_to(*it); string sname = tmpsymbolprefix + sym.get_name(); // make list of new symbols vector symbols(deg); symbols[0] = sym; for(int i=1; i=1; i--) { e = e.subs(power(sym,i+1) == symbols[i], subs_options::algebraic); } } } return e; } }; // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/Bubble.cpp0000644000175000017500000000504611672223006017100 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Bubble.h" #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { Bubble::Bubble(): StandardFE() { description = "Bubble"; } Bubble::Bubble(Polygon& p, unsigned int order): StandardFE(p, order) { compute_basis_functions(); } void Bubble:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( p->str().find("ReferenceLine") != string::npos ) { Ns.insert(Ns.end(), x*(1-x)); description = "Bubble_1D"; } else if ( p->str().find("Triangle") != string::npos ) { GiNaC::ex b = barycenter_triangle(p->vertex(0), p->vertex(1), p->vertex(2)); GiNaC::ex N = GiNaC::numeric(1); for (unsigned int d=0; d< b.nops(); d++) { N = N*b.op(d).rhs(); } Ns.insert(Ns.end(), N); description = "Bubble_2D"; } else if ( p->str().find("Tetrahedron") != string::npos ) { GiNaC::ex b = barycenter_tetrahedron(p->vertex(0), p->vertex(1), p->vertex(2), p->vertex(3)); GiNaC::ex N = GiNaC::numeric(1); for (unsigned int d=0; d< b.nops(); d++) { N = N*b.op(d).rhs(); } Ns.insert(Ns.end(), N); description = "Bubble_3D"; } // create and insert dof GiNaC::lst midpoint = GiNaC::lst(); for (unsigned int d=0; d< p->vertex(1).nops(); d++) { midpoint.append(GiNaC::numeric(0)); } for (unsigned int i=1; i<= p->no_vertices(); i++) { for (unsigned int d=0; d< p->vertex(i-1).nops(); d++) { midpoint.let_op(d) += p->vertex(i-1).op(d); } } for (unsigned int d=0; d< p->vertex(1).nops(); d++) { midpoint.let_op(d) = midpoint.op(d)/p->no_vertices(); } dofs.insert(dofs.end(), midpoint); } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/BrezziDouglasMarini.cpp0000644000175000017500000001037311672223006021630 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "BrezziDouglasMarini.h" #include #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { BrezziDouglasMarini:: BrezziDouglasMarini() : StandardFE() { description = "BrezziDouglasMarini"; } BrezziDouglasMarini:: BrezziDouglasMarini(Polygon& p, int order, bool pointwise_) : StandardFE(p, order) { pointwise = pointwise_; compute_basis_functions(); } void BrezziDouglasMarini:: compute_basis_functions() { if ( order < 1 ) { throw(std::logic_error("Brezzi-Douglas-Marini elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } GiNaC::ex nsymb = GiNaC::symbol("n"); if (pointwise) { if ( p->str().find("ReferenceLine") != string::npos ) { cout <<"Can not define the Brezzi-Douglas-Marini element on a line"<str().find("ReferenceTetrahedron") != string::npos ) { cout <<"Can not define the Brezzi-Douglas-Marini element on a tetrahedron, see Nedelec2Hdiv"<str().find("Triangle") != string::npos ) { description = istr("BrezziDouglasMarini_", order) + "_2D"; Triangle& triangle = (Triangle&)(*p); GiNaC::lst equations; GiNaC::lst variables; GiNaC::lst polynom_space = bernsteinv(2,order, triangle, "b"); GiNaC::ex pspace = polynom_space.op(0); variables = collapse(GiNaC::ex_to(polynom_space.op(1))); GiNaC::symbol t("t"); GiNaC::ex dofi; // dofs related to edges for (int i=0; i< 3; i++) { Line line = triangle.line(i); GiNaC::lst normal_vec = normal(triangle, i); GiNaC::ex Vn = inner(pspace, normal_vec); GiNaC::lst points = interior_coordinates(line, order); GiNaC::ex point; for (unsigned int j=0; j< points.nops(); j++) { point = points.op(j); dofi = Vn.subs(x == point.op(0)).subs(y == point.op(1)); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point,nsymb)); } } // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #ifndef RAVIARTTHOMAS_IS_INCLUDED #define RAVIARTTHOMAS_IS_INCLUDED #include "FE.h" namespace SyFi { class RaviartThomas : public StandardFE { public: bool pointwise; GiNaC::lst dof_repr; RaviartThomas(); RaviartThomas(Polygon& p, int order = 1, bool pointwise=true); virtual ~RaviartThomas() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Polygon.h0000644000175000017500000002167511672223006017007 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef POLYGON_IS_INCLUDED #define POLYGON_IS_INCLUDED #include #include namespace SyFi { enum Repr_format { SUBS_PERFORMED = 1, SUBS_NOT_PERFORMED = 2 }; // TODO: Can be const too: // integrate class Line; class Triangle; class Rectangle; class Polygon { protected: Polygon(const std::string & subscript_="", unsigned int no_vert=0); Polygon(const Polygon& polygon); std::string subscript; GiNaC::exvector p; public: virtual ~Polygon() {} /* Return the topological dimension of the object. */ virtual unsigned int no_space_dim() const = 0; virtual unsigned int no_vertices() const; virtual GiNaC::ex vertex(unsigned int i) const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const = 0; virtual const std::string str() const = 0; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED) = 0; virtual Polygon* copy() const = 0; // This design isn't very good, but doing it differently will require solving some memory issues: virtual Line line(unsigned int i) const; virtual Triangle triangle(unsigned int i) const; virtual Rectangle rectangle(unsigned int i) const; }; class Line : public Polygon { protected: GiNaC::ex a_; GiNaC::ex b_; public: /* Constructing an empty object. */ Line() {} /* x0_ and x1_ are points, of the type GiNaC::lst if dim>1 */ Line(GiNaC::ex x0, GiNaC::ex x1, const std::string & subscript = ""); Line(const Line& line); virtual ~Line(){} virtual unsigned int no_space_dim() const; GiNaC::ex a() const; GiNaC::ex b() const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const; virtual GiNaC::ex repr(GiNaC::ex t, Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual Line* copy() const; }; class ReferenceLine : public Line { public: ReferenceLine(const std::string & subscript = ""); ReferenceLine(const ReferenceLine& line); virtual ~ReferenceLine(){} virtual GiNaC::ex repr(GiNaC::ex t, Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual ReferenceLine* copy() const; }; class Triangle : public Polygon { protected: Triangle(const std::string & subscript = ""); public: Triangle(GiNaC::ex x0, GiNaC::ex x1, GiNaC::ex x2, const std::string & subscript = ""); Triangle(const Triangle& triangle); virtual ~Triangle(){} virtual unsigned int no_space_dim() const; virtual Line line(unsigned int i) const; virtual GiNaC::ex repr(Repr_format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual Triangle* copy() const; }; class ReferenceTriangle : public Triangle { public: ReferenceTriangle(const std::string & subscript = ""); ReferenceTriangle(const ReferenceTriangle& triangle); virtual ~ReferenceTriangle(){} virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual ReferenceTriangle* copy() const; }; class Rectangle : public Polygon { protected: Rectangle(const std::string & subscript = ""); public: Rectangle(GiNaC::ex p0, GiNaC::ex p1, const std::string & subscript = ""); Rectangle(GiNaC::ex p0, GiNaC::ex p1, GiNaC::ex p2, GiNaC::ex p3, const std::string & subscript = ""); Rectangle(const Rectangle& rectangle); virtual ~Rectangle(){} virtual unsigned int no_space_dim() const; virtual Line line(unsigned int i) const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual Rectangle* copy() const; }; class ReferenceRectangle : public Rectangle { public: ReferenceRectangle(const std::string & subscript = ""); ReferenceRectangle(const ReferenceRectangle& rectangle); virtual ~ReferenceRectangle(){} virtual const std::string str() const; virtual ReferenceRectangle* copy() const; }; class Tetrahedron : public Polygon { public: Tetrahedron(GiNaC::ex x0, GiNaC::ex x1, GiNaC::ex x2, GiNaC::ex x3, const std::string & subscript = ""); Tetrahedron(const Tetrahedron& tetrahedron); virtual ~Tetrahedron(){} virtual unsigned int no_space_dim() const; virtual Line line(unsigned int i) const; virtual Triangle triangle(unsigned int i) const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual Tetrahedron* copy() const; }; class ReferenceTetrahedron : public Tetrahedron { public: ReferenceTetrahedron(const std::string & subscript = ""); ReferenceTetrahedron(const ReferenceTetrahedron& tetrahedron); virtual ~ReferenceTetrahedron(){} virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual ReferenceTetrahedron* copy() const; }; class Box: public Polygon { public: Box(GiNaC::ex p0, GiNaC::ex p1, const std::string & subscript=""); Box(GiNaC::ex p0, GiNaC::ex p1, GiNaC::ex p2, GiNaC::ex p3, GiNaC::ex p4, GiNaC::ex p5, GiNaC::ex p6, GiNaC::ex p7, const std::string & subscript=""); Box(const Box& box); Box(){} virtual ~Box(){} virtual unsigned int no_space_dim() const; virtual Line line(unsigned int i) const; virtual Rectangle rectangle(unsigned int i) const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); virtual Box* copy() const; }; class ReferenceBox: public Box { public: ReferenceBox(const std::string & subscript = ""); ReferenceBox(const ReferenceBox& box); virtual ~ReferenceBox(){} virtual const std::string str() const; virtual ReferenceBox* copy() const; }; class Simplex : public Polygon { public: Simplex(GiNaC::lst vertices, const std::string & subscript = ""); Simplex(const Simplex& simplex); virtual ~Simplex(){} virtual unsigned int no_space_dim() const; virtual GiNaC::ex repr(Repr_format format = SUBS_PERFORMED) const; virtual const std::string str() const; virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); Simplex sub_simplex(unsigned int i); virtual Simplex* copy() const; }; /* class ReferenceSimplex : public Simplex { public: ReferenceSimplex(const std::string & subscript = ""); virtual ~ReferenceSimplex(){} virtual std::string str(); virtual GiNaC::ex integrate(GiNaC::ex f, Repr_format format = SUBS_PERFORMED); }; */ // ---- Some tools for Polygons // FIXME: change to barycenter(Triangle&) // FIXME: and barycenter(Tetrahedron&) GiNaC::ex barycenter_line(GiNaC::ex p0, GiNaC::ex p1); GiNaC::ex barycenter_triangle(GiNaC::ex p0, GiNaC::ex p1, GiNaC::ex p2); GiNaC::ex barycenter_tetrahedron(GiNaC::ex p0, GiNaC::ex p1, GiNaC::ex p2, GiNaC::ex p3); GiNaC::ex barycenter(Simplex& simplex); GiNaC::lst bezier_ordinates(Line& line, unsigned int d); GiNaC::lst bezier_ordinates(Triangle& triangle, unsigned int d); GiNaC::lst bezier_ordinates(Tetrahedron& tetrahedra, unsigned int d); GiNaC::lst interior_coordinates(Line& line, unsigned int d); GiNaC::lst interior_coordinates(Triangle& triangle, unsigned int d); GiNaC::lst interior_coordinates(Tetrahedron& tetrahedra, unsigned int d); // polynom of arbitrary order on a line, a triangle, // or a tetrahedron using the Bernstein basis GiNaC::ex bernstein(unsigned int order, Polygon& p, const std::string & a); // vector polynom of arbitrary order on a line, a triangle, // or a tetrahedron using the Bernstein basis GiNaC::lst bernsteinv(unsigned int no_fields, unsigned int order, Polygon& p, const std::string & a); GiNaC::lst normal(Triangle&, unsigned int i); GiNaC::lst normal(Tetrahedron&, unsigned int i); GiNaC::lst tangent(Triangle&, unsigned int i); } #endif syfi-1.0.0.dfsg.orig/syfi/Nedelec.h0000644000175000017500000000201411672223006016701 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef NEDELEC_IS_INCLUDED #define NEDELEC_IS_INCLUDED #include "FE.h" namespace SyFi { class Nedelec : public StandardFE { public: Nedelec(); Nedelec(Polygon& p, int order = 1 ); virtual ~Nedelec() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/P0.cpp0000644000175000017500000001113011672223006016153 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "P0.h" #include "tools.h" using std::cout; using std::endl; namespace SyFi { P0::P0() : StandardFE() { description = "P0"; } P0:: P0(Polygon& p, unsigned int order) : StandardFE (p,order) { compute_basis_functions(); } void P0:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } // insert basis function Ns.insert(Ns.end(), GiNaC::numeric(1)); GiNaC::lst midpoint = GiNaC::lst(); // create and insert dof // p is a lst if (GiNaC::is_a(p->vertex(0))) { for (unsigned int d=0; d< p->vertex(1).nops(); d++) { midpoint.append(GiNaC::numeric(0)); } for (unsigned int i=0; i< p->no_vertices(); i++) { int nops; nops = p->vertex(i).nops(); for (int d=0; d< nops; d++) { midpoint.let_op(d) += p->vertex(i).op(d); } } for (unsigned int d=0; d< p->vertex(1).nops(); d++) { midpoint.let_op(d) = midpoint.op(d)/p->no_vertices(); } } else { midpoint.append(GiNaC::numeric(0)); for (unsigned int i=0; i< p->no_vertices(); i++) { midpoint.let_op(0) += p->vertex(i); } midpoint.let_op(0) = midpoint.op(0)/p->no_vertices(); } dofs.insert(dofs.end(), midpoint); description = istr("P0_" , midpoint.nops()) + "D"; } // ------------VectorP0 --- VectorP0::VectorP0() : StandardFE() { description = "VectorP0"; } VectorP0::VectorP0(Polygon& p, unsigned int order, unsigned int size_) : StandardFE(p, order) { size = size_ < 0 ? nsd: size_; compute_basis_functions(); } void VectorP0:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( size == 0) { throw(std::logic_error("You need to set the size of the vector before the basisfunctions can be computed")); } P0 fe(*p); GiNaC::lst zero_list; for (unsigned int s=1; s<= size ; s++) { zero_list.append(0); } for (unsigned int i=0; i< fe.nbf() ; i++) { for (unsigned int s=0; s< size ; s++) { GiNaC::lst Nis = zero_list; Nis.let_op(s) = fe.N(i); GiNaC::ex Nmat = GiNaC::matrix(size,1,Nis); Ns.insert(Ns.end(), Nmat); GiNaC::lst dof = GiNaC::lst(fe.dof(i), s) ; dofs.insert(dofs.end(), dof); } } description = "Vector" + fe.str(); } void VectorP0:: set_size(unsigned int size_) { size = size_; } // ------------TensorP0 --- TensorP0::TensorP0() : StandardFE() { description = "TensorP0"; } TensorP0::TensorP0(Polygon& p, unsigned int order, unsigned int size_) : StandardFE(p, order) { size = size_ < 0 ? nsd: size_; compute_basis_functions(); } void TensorP0:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( size == 0) { throw(std::logic_error("You need to set the size of the vector before the basisfunctions can be computed")); } P0 fe(*p); GiNaC::lst zero_list; for (unsigned int s=1; s<= size*size ; s++) { zero_list.append(0); } for (unsigned int i=0; i< fe.nbf() ; i++) { for (unsigned int r=0; r< size ; r++) { for (unsigned int s=0; s< size ; s++) { GiNaC::lst Nis = zero_list; Nis.let_op((size)*r + s) = fe.N(i); GiNaC::ex Nmat = GiNaC::matrix(size,size,Nis); Ns.insert(Ns.end(), Nmat); GiNaC::lst dof = GiNaC::lst(fe.dof(i), r, s) ; dofs.insert(dofs.end(), dof); } } } description = "Tensor" + fe.str(); } void TensorP0:: set_size(unsigned int size_) { size = size_; } } syfi-1.0.0.dfsg.orig/syfi/BrezziDouglasMarini.h0000644000175000017500000000222311672223006021270 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef BREZZIDOUGLASMARINI_IS_INCLUDED #define BREZZIDOUGLASMARINI_IS_INCLUDED #include "FE.h" namespace SyFi { class BrezziDouglasMarini : public StandardFE { public: bool pointwise; GiNaC::lst dof_repr; BrezziDouglasMarini(); BrezziDouglasMarini(Polygon& p, int order = 1, bool pointwise=true); virtual ~BrezziDouglasMarini() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Dof_OrderedPtvSet.cpp0000644000175000017500000000137411672223006021227 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Dof_OrderedPtvSet.h" syfi-1.0.0.dfsg.orig/syfi/swig/0000755000175000017500000000000011674103626016154 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/syfi/swig/typemaps.1.4.i0000644000175000017500000000640411672223006020466 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %typemap(in) (int idx0, int idx1) { if(PyTuple_Check($input)) { $1 = PyInt_AsLong(PyTuple_GetItem($input,0)); if(PyTuple_Size($input) > 1) $2 = PyInt_AsLong(PyTuple_GetItem($input,1)); else $2 = 0; } else { $1 = PyInt_AsLong($input); $2 = 0; } } %typemap(in) GiNaC::lst & { $1=list2lst($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1200) GiNaC::lst & { $1 = (PyList_Check($input)) ? 1 : 0; } %{ // class to handle deleting a temporary resource in an input typemap template class TDeleter { public: T * obj; TDeleter(): obj(0) { //std::cout << "TDeleter constructor." << std::endl; } ~TDeleter() { //std::cout << "TDeleter destructor, obj = " << obj << std::endl; if(obj) { //std::cout << "TDeleter deleting obj:" << std::endl; delete obj; //std::cout << "TDeleter done deleting obj." << std::endl; } //std::cout << "TDeleter is now destroyed." << std::endl; } }; typedef TDeleter ex_deleter; typedef TDeleter const_ex_deleter; %} %typemap(in) GiNaC::ex & (ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } %typemap(in) const GiNaC::ex & (const_ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } //%typemap(in) const ex & = ex &; %typemap(in) GiNaC::ex { ex *tmp = type2ex($input); if (tmp == NULL ) { return NULL; } $1 = *(tmp); delete tmp; } %typemap(in) const GiNaC::ex = GiNaC::ex; %typemap(in) numeric & { $1 = type2numeric($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1210) GiNaC::ex & { $1 = (checktype2ex($input)) ? 1 : 0; } %typemap(typecheck, precedence=1209) GiNaC::ex { $1 = (checktype2ex($input)) ? 1 : 0; // TODO: This could be wrong, while ex& is treated as a pointer by swig, ex is not, at least in the typemap(in) above. } %typemap(out) GiNaC::ex { $result = ex2type(&($1)); } //%typemap(out) GiNaC::ex *{ // $result = ex2type($1); // delete $1; //} %typemap(out) GiNaC::exvector { $result = exvector2list(&($1)); } %typemap(out) GiNaC::lst & { $result = lst2list($1); } %typemap(out) GiNaC::lst { $result = lst2list(&($1)); } //it seems we don't need these /* %typemap(out) ex &{ $result = ex2type($1); }*/ // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/README0000644000175000017500000000026411672223006017027 0ustar johannrjohannr This directory contains SWIG wrappers for the SyFi C++ code, and the Python module sfc (the SyFi Form Compiler). Python unit tests and regression tests are located under tests/. syfi-1.0.0.dfsg.orig/syfi/swig/ex.1.3.i0000644000175000017500000001376411672223006017246 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %{ GiNaC::lst* list2lst(PyObject *input); PyObject* lst2list(GiNaC::lst *input); //GETDESC1 and GETDESC2 are equivalent - GETDESC1 is the official way how to do //it, but it's slower than the undocumented way GETDESC2. #define GETDESC1(NAME) \ static swig_type_info *NAME##descr=0;\ if (!NAME##descr){\ NAME##descr=SWIG_TypeQuery("GiNaC::"#NAME" *");\ if (!NAME##descr) {\ PyErr_SetString(PyExc_ValueError,"Cannot get a "#NAME" descriptor. Fix in ex.i");\ return NULL;\ }\ } #define GETDESC2(NAME) \ static swig_type_info *NAME##descr=SWIGTYPE_p_GiNaC__##NAME #define GETDESC(NAME) GETDESC1(NAME) //converts any type from python to ex GiNaC::ex * type2ex(PyObject * input) { GiNaC::basic *btmp; GETDESC(basic); if (not((SWIG_ConvertPtr(input, (void **) &btmp, basicdescr,0)) == -1)) return new GiNaC::ex((*btmp)); if (PyInt_Check(input)) return new GiNaC::ex(numeric(PyInt_AsLong(input))); if (PyFloat_Check(input)) return new GiNaC::ex(numeric(PyFloat_AsDouble(input))); if (PyList_Check(input)) { GiNaC::lst *l=list2lst(input); if (l==NULL) return NULL; return new GiNaC::ex(l->eval()); } return NULL; } GiNaC::numeric * type2numeric(PyObject * input) { GiNaC::numeric *btmp; GETDESC(numeric); if (not((SWIG_ConvertPtr(input, (void **) &btmp, numericdescr,0)) == -1)) return new numeric((*btmp)); if (PyInt_Check(input)) return new numeric(PyInt_AsLong(input)); if (PyFloat_Check(input)) return new numeric(PyFloat_AsDouble(input)); return NULL; } bool checktype2ex(PyObject * input) { //we assume, that everything can be converted to ex. //if you find some counterexample, write test for it first (which fail) //and then implement it here. return true; } #define EX2(NAME) \ case TINFO_##NAME: {\ NAME *p = new NAME(GiNaC::ex_to(*convert));\ GETDESC(NAME);\ return SWIG_NewPointerObj((void *)p, NAME##descr, 1);\ } //unwraps ex and return python object PyObject * ex2type(const GiNaC::ex* input) { GiNaC::ex tmp; try { tmp = input->evalm(); } catch(std::exception & e) { tmp = *input; } const GiNaC::ex* convert = &tmp; switch (GiNaC::ex_to(*convert).tinfo()) { EX2(symbol) EX2(constant) EX2(numeric) case TINFO_lst: { GiNaC::lst *l = new GiNaC::lst(GiNaC::ex_to(*convert)); return lst2list(l); } EX2(pseries) EX2(su3one) EX2(su3t) EX2(su3f) EX2(su3d) EX2(diracone) EX2(diracgamma) EX2(diracgamma5) EX2(diracgammaL) EX2(diracgammaR) EX2(tensor) EX2(tensdelta) EX2(tensmetric) EX2(minkmetric) EX2(spinmetric) EX2(tensepsilon) EX2(wildcard) EX2(indexed) EX2(color) EX2(clifford) EX2(idx) EX2(varidx) EX2(spinidx) EX2(symmetry) EX2(integral) EX2(cliffordunit) EX2(relational) EX2(function) EX2(add) EX2(mul) EX2(ncmul) EX2(matrix) EX2(power) default: throw (std::logic_error("Cannot unwrap ex. Fix in ex.i")); } } //converts ginac lst to python list (unwrapping all exs) PyObject *lst2list(GiNaC::lst *input) { GiNaC::lst::const_iterator i = input->begin(); GiNaC::lst::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } /* PyObject *lst2list(GiNaC::lst *input) { GiNaC::lst *l = input; int n = l->nops(); PyObject *pylist = PyList_New(n); PyObject *item; for (int i=0;ilet_op(i))); PyList_SetItem(pylist, i, item); Py_INCREF(item); } return (pylist); }*/ //convert any python list to ginac lst GiNaC::lst* list2lst(PyObject * input) { GiNaC::lst *out=new GiNaC::lst(); if PyList_Check(input) { int n = PyList_Size(input); PyObject *item; GiNaC::ex *tmp; for (int i = 0; iappend(*tmp); } else { PyErr_SetString(PyExc_ValueError,"Cannot convert type to ex."); return NULL; } } return out; } else { PyErr_SetString(PyExc_ValueError,"List expected."); delete out; return NULL; } } //converts ginac exvector to python list (unwrapping all exs) PyObject *exvector2list(GiNaC::exvector *input) { GiNaC::exvector::const_iterator i = input->begin(); GiNaC::exvector::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } %} // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/ex.1.4.i0000644000175000017500000001401711672223006017237 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %{ GiNaC::lst* list2lst(PyObject *input); PyObject* lst2list(GiNaC::lst *input); //GETDESC1 and GETDESC2 are equivalent - GETDESC1 is the official way how to do //it, but it's slower than the undocumented way GETDESC2. #define GETDESC1(NAME) \ static swig_type_info *NAME##descr=0;\ if (!NAME##descr){\ NAME##descr=SWIG_TypeQuery("GiNaC::"#NAME" *");\ if (!NAME##descr) {\ PyErr_SetString(PyExc_ValueError,"Cannot get a "#NAME" descriptor. Fix in ex.i");\ return NULL;\ }\ } #define GETDESC2(NAME) \ static swig_type_info *NAME##descr=SWIGTYPE_p_GiNaC__##NAME #define GETDESC(NAME) GETDESC1(NAME) //converts any type from python to ex GiNaC::ex * type2ex(PyObject * input) { basic *btmp; GETDESC(basic); if (not((SWIG_ConvertPtr(input, (void **) &btmp, basicdescr,0)) == -1)) return new GiNaC::ex((*btmp)); if (PyInt_Check(input)) return new GiNaC::ex(numeric(PyInt_AsLong(input))); if (PyFloat_Check(input)) return new GiNaC::ex(numeric(PyFloat_AsDouble(input))); if (PyList_Check(input)) { lst *l=list2lst(input); if (l==NULL) return NULL; return new GiNaC::ex(l->eval()); } return NULL; } GiNaC::numeric * type2numeric(PyObject * input) { GiNaC::numeric *btmp; GETDESC(numeric); if (not((SWIG_ConvertPtr(input, (void **) &btmp, numericdescr,0)) == -1)) return new numeric((*btmp)); if (PyInt_Check(input)) return new numeric(PyInt_AsLong(input)); if (PyFloat_Check(input)) return new numeric(PyFloat_AsDouble(input)); return NULL; } bool checktype2ex(PyObject * input) { //we assume, that everything can be converted to ex. //if you find some counterexample, write test for it first (which fail) //and then implement it here. return true; } #define EX2(NAME) \ if (tinfo_key == &NAME::tinfo_static) {\ NAME *p = new NAME(GiNaC::ex_to(*convert));\ GETDESC(NAME);\ return SWIG_NewPointerObj((void *)p, NAME##descr, 1);\ } else //unwraps ex and return python object PyObject * ex2type(const GiNaC::ex* input) { GiNaC::ex tmp; try { tmp = input->evalm(); } catch(std::exception & e) { tmp = *input; } const GiNaC::ex* convert = &tmp; //switch (GiNaC::ex_to(*convert).tinfo()) { tinfo_t tinfo_key = GiNaC::ex_to(*convert).tinfo(); EX2(symbol) EX2(constant) EX2(numeric) if (tinfo_key == &lst::tinfo_static) { GiNaC::lst *l = new GiNaC::lst(GiNaC::ex_to(*convert)); return lst2list(l); } else EX2(pseries) EX2(su3one) EX2(su3t) EX2(su3f) EX2(su3d) EX2(diracone) EX2(diracgamma) EX2(diracgamma5) EX2(diracgammaL) EX2(diracgammaR) EX2(tensor) EX2(tensdelta) EX2(tensmetric) EX2(minkmetric) EX2(spinmetric) EX2(tensepsilon) EX2(wildcard) EX2(indexed) EX2(color) EX2(clifford) EX2(idx) EX2(varidx) EX2(spinidx) EX2(symmetry) EX2(integral) EX2(cliffordunit) EX2(relational) EX2(function) EX2(add) EX2(mul) EX2(ncmul) EX2(matrix) EX2(power) { throw (std::logic_error("Cannot unwrap ex. Fix in ex.i")); } } //converts ginac lst to python list (unwrapping all exs) PyObject *lst2list(GiNaC::lst *input) { lst::const_iterator i = input->begin(); lst::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } /* PyObject *lst2list(GiNaC::lst *input) { GiNaC::lst *l = input; int n = l->nops(); PyObject *pylist = PyList_New(n); PyObject *item; for (int i=0;ilet_op(i))); PyList_SetItem(pylist, i, item); Py_INCREF(item); } return (pylist); }*/ //convert any python list to ginac lst GiNaC::lst* list2lst(PyObject * input) { GiNaC::lst *out=new lst(); if PyList_Check(input) { int n = PyList_Size(input); PyObject *item; GiNaC::ex *tmp; for (int i = 0; iappend(*tmp); } else { PyErr_SetString(PyExc_ValueError,"Cannot convert type to ex."); return NULL; } } return out; } else { PyErr_SetString(PyExc_ValueError,"List expected."); delete out; return NULL; } } //converts ginac exvector to python list (unwrapping all exs) PyObject *exvector2list(GiNaC::exvector *input) { exvector::const_iterator i = input->begin(); exvector::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } %} // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/typemaps.1.5.i0000644000175000017500000000652511672223006020473 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %typemap(in) (int idx0, int idx1) { if(PyTuple_Check($input)) { $1 = PyInt_AsLong(PyTuple_GetItem($input,0)); if(PyTuple_Size($input) > 1) $2 = PyInt_AsLong(PyTuple_GetItem($input,1)); else $2 = 0; } else { $1 = PyInt_AsLong($input); $2 = 0; } } %typemap(in) GiNaC::lst & { $1=list2lst($input); if (!$1) return NULL; } %typemap(in) const lst & { $1=list2lst($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1200) GiNaC::lst & { $1 = (PyList_Check($input)) ? 1 : 0; } %{ // class to handle deleting a temporary resource in an input typemap template class TDeleter { public: T * obj; TDeleter(): obj(0) { //std::cout << "TDeleter constructor." << std::endl; } ~TDeleter() { //std::cout << "TDeleter destructor, obj = " << obj << std::endl; if(obj) { //std::cout << "TDeleter deleting obj:" << std::endl; delete obj; //std::cout << "TDeleter done deleting obj." << std::endl; } //std::cout << "TDeleter is now destroyed." << std::endl; } }; typedef TDeleter ex_deleter; typedef TDeleter const_ex_deleter; %} %typemap(in) GiNaC::ex & (ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } %typemap(in) const GiNaC::ex & (const_ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } //%typemap(in) const ex & = ex &; %typemap(in) GiNaC::ex { ex *tmp = type2ex($input); if (tmp == NULL ) { return NULL; } $1 = *(tmp); delete tmp; } %typemap(in) const GiNaC::ex = GiNaC::ex; %typemap(in) numeric & { $1 = type2numeric($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1210) GiNaC::ex & { $1 = (checktype2ex($input)) ? 1 : 0; } %typemap(typecheck, precedence=1209) GiNaC::ex { $1 = (checktype2ex($input)) ? 1 : 0; // TODO: This could be wrong, while ex& is treated as a pointer by swig, ex is not, at least in the typemap(in) above. } %typemap(out) GiNaC::ex { $result = ex2type(&($1)); } //%typemap(out) GiNaC::ex *{ // $result = ex2type($1); // delete $1; //} %typemap(out) GiNaC::exvector { $result = exvector2list(&($1)); } %typemap(out) GiNaC::lst & { $result = lst2list($1); } %typemap(out) GiNaC::lst { $result = lst2list(&($1)); } //it seems we don't need these /* %typemap(out) ex &{ $result = ex2type($1); }*/ // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/SyFi.i.in0000644000175000017500000000607311672223006017604 0ustar johannrjohannr%module SyFi %feature("autodoc", "1"); %{ #include "../SyFi.h" #include using namespace GiNaC; using namespace SyFi; %} // utility function: %{ void setDigits (int a) { Digits = a; } %} void setDigits (int a); %include cpp2py_exceptions.i namespace GiNaC { #define GINACLIB_MAJOR_VERSION @GINACLIB_MAJOR_VERSION@ #define GINACLIB_MINOR_VERSION @GINACLIB_MINOR_VERSION@ #define GINACLIB_MICRO_VERSION @GINACLIB_MICRO_VERSION@ //#define GINACLIB_MINOR_VERSION 4 #if GINACLIB_MINOR_VERSION == 6 %include ex.1.5.i %include typemaps.1.5.i #elif GINACLIB_MINOR_VERSION == 5 %include ex.1.5.i %include typemaps.1.5.i #elif GINACLIB_MINOR_VERSION == 4 %include ex.1.4.i %include typemaps.1.4.i #else %include ex.1.3.i %include typemaps.1.3.i #endif } // typedefs and template instantiations for stl containers with ginac objects %include stl.i %include std_string.i %include std_pair.i %include std_list.i %include std_vector.i %include std_set.i %include std_map.i %typedef std::vector GiNaC::exvector; %template(exvector) std::vector; %typedef std::map GiNaC::exmap; %template(exmap) std::map; %typedef std::map ex_int_map; %template(ex_int_map) std::map; %typedef std::pair symexpair; %template(symexpair) std::pair; %typedef std::list< std::pair > symexlist; %template(symexlist) std::list< std::pair >; %typedef std::list exlist; %template(exlist) std::list; %typedef std::set exset; %template(exset) std::set; %include tools.h %include containers.h %include utilities.h %include diff_tools.h %include ginac_tools.h %include symbol_factory.h %include Polygon.h %include FE.h %include Lagrange.h %include Dof.h %include CrouzeixRaviart.h %include P0.h %include RaviartThomas.h %include DiscontinuousLagrange.h %include Hermite.h %include Nedelec.h %include Nedelec2Hdiv.h %include Bubble.h %include ElementComputations.h %include ArnoldFalkWintherWeakSym.h %include Robust.h %include MixedFE.h %include SpaceTimeElement.h /* namespace GiNaC{ class exvector{}; class lst{}; } */ /* %extend GiNaC::lst{ void append(GiNaC::ex& e) { self->append(e); } GiNaC::ex __getitem__(int i) { if ( i >= 0 && unsigned(i) <= (*self).nops()-1) { return (*self)[i]; } else { // cout << "Outside range of lst!\n"; return DUMMY; } } }; %extend GiNaC::exvector { void append(GiNaC::ex& e) { self->insert(self->end(), e); } GiNaC::ex __getitem__(int i) { if ( i >= 0 && unsigned(i) <= (*self).size()-1) { return (*self)[i]; } else { // cout << "Outside range of exvector!\n"; return DUMMY; } } }; */ //%pythoncode %{ //from pytools import * //%} syfi-1.0.0.dfsg.orig/syfi/swig/ex.1.5.i0000644000175000017500000001342111672223006017236 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %{ GiNaC::lst* list2lst(PyObject *input); PyObject* lst2list(const GiNaC::lst *input); //GETDESC1 and GETDESC2 are equivalent - GETDESC1 is the official way how to do //it, but it is slower than the undocumented way GETDESC2. #define GETDESC1(NAME) \ static swig_type_info *NAME##descr=0;\ if (!NAME##descr){\ NAME##descr=SWIG_TypeQuery("GiNaC::"#NAME" *");\ if (!NAME##descr) {\ PyErr_SetString(PyExc_ValueError,"Cannot get a "#NAME" descriptor. Fix in ex.i");\ return NULL;\ }\ } #define GETDESC2(NAME) \ static swig_type_info *NAME##descr=SWIGTYPE_p_GiNaC__##NAME #define GETDESC(NAME) GETDESC1(NAME) //converts any type from python to ex GiNaC::ex * type2ex(PyObject * input) { basic *btmp; GETDESC(basic); if (not((SWIG_ConvertPtr(input, (void **) &btmp, basicdescr,0)) == -1)) return new GiNaC::ex((*btmp)); if (PyInt_Check(input)) return new GiNaC::ex(numeric(PyInt_AsLong(input))); if (PyFloat_Check(input)) return new GiNaC::ex(numeric(PyFloat_AsDouble(input))); if (PyList_Check(input)) { lst *l=list2lst(input); if (l==NULL) return NULL; return new GiNaC::ex(l->eval()); } return NULL; } GiNaC::numeric * type2numeric(PyObject * input) { GiNaC::numeric *btmp; GETDESC(numeric); if (not((SWIG_ConvertPtr(input, (void **) &btmp, numericdescr,0)) == -1)) return new numeric((*btmp)); if (PyInt_Check(input)) return new numeric(PyInt_AsLong(input)); if (PyFloat_Check(input)) return new numeric(PyFloat_AsDouble(input)); return NULL; } bool checktype2ex(PyObject * input) { //we assume, that everything can be converted to ex. //if you find some counterexample, write test for it first (which fail) //and then implement it here. return true; } #define EX2(NAME) \ if (GiNaC::is_a(*convert)) {\ NAME *p = new NAME(GiNaC::ex_to(*convert));\ GETDESC(NAME);\ return SWIG_NewPointerObj((void *)p, NAME##descr, 1);\ } //unwraps ex and return python object PyObject * ex2type(const GiNaC::ex* input) { GiNaC::ex tmp; try { tmp = input->evalm(); } catch(std::exception & e) { tmp = *input; } const GiNaC::ex* convert = &tmp; EX2(symbol) EX2(constant) EX2(numeric) if (GiNaC::is_a(*convert)) { const GiNaC::lst *l = &GiNaC::ex_to(*convert); return lst2list(l); } EX2(pseries) EX2(su3one) EX2(su3t) EX2(su3f) EX2(su3d) EX2(diracone) EX2(diracgamma) EX2(diracgamma5) EX2(diracgammaL) EX2(diracgammaR) EX2(cliffordunit) EX2(tensor) EX2(tensdelta) EX2(tensmetric) EX2(minkmetric) EX2(spinmetric) EX2(tensepsilon) EX2(wildcard) EX2(color) EX2(clifford) EX2(indexed) EX2(varidx) EX2(spinidx) EX2(idx) EX2(symmetry) EX2(integral) EX2(relational) EX2(function) EX2(add) EX2(mul) EX2(ncmul) EX2(matrix) EX2(power) // Nothing converted, throw exception throw (std::logic_error("Cannot unwrap ex. Fix in ex.i")); } //converts ginac lst to python list (unwrapping all exs) PyObject *lst2list(const GiNaC::lst *input) { lst::const_iterator i = input->begin(); lst::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } /* PyObject *lst2list(GiNaC::lst *input) { GiNaC::lst *l = input; int n = l->nops(); PyObject *pylist = PyList_New(n); PyObject *item; for (int i=0;ilet_op(i))); PyList_SetItem(pylist, i, item); Py_INCREF(item); } return (pylist); }*/ //convert any python list to ginac lst GiNaC::lst* list2lst(PyObject * input) { GiNaC::lst *out=new lst(); if PyList_Check(input) { int n = PyList_Size(input); PyObject *item; GiNaC::ex *tmp; for (int i = 0; iappend(*tmp); } else { PyErr_SetString(PyExc_ValueError,"Cannot convert type to ex."); return NULL; } } return out; } else { PyErr_SetString(PyExc_ValueError,"List expected."); delete out; return NULL; } } //converts ginac exvector to python list (unwrapping all exs) PyObject *exvector2list(GiNaC::exvector *input) { exvector::const_iterator i = input->begin(); exvector::const_iterator i_end = input->end(); PyObject *pylist = PyList_New(0); while (i!=i_end) { PyObject *item = ex2type(&(*i)); PyList_Append(pylist, item); //is this necessary? Py_INCREF(item); i++; } return (pylist); } %} // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/CMakeLists.txt0000644000175000017500000000512411672223006020707 0ustar johannrjohannr# Set SWIG module name set(SWIG_MODULE_NAME SyFi) # Set SWIG flags set(CMAKE_SWIG_FLAGS -module ${SWIG_MODULE_NAME} -shadow -modern -modernargs -fastdispatch -fvirtual -nosafecstrings -noproxydel -fastproxy -fastinit -fastunpack -fastquery -nobuildnone ${SYFI_CXX_DEFINITIONS} ) set(CMAKE_SWIG_OUTDIR ${CMAKE_CURRENT_BINARY_DIR}) # Add needed include directories include_directories( ${PYTHON_INCLUDE_DIRS} ${NUMPY_INCLUDE_DIRS} ) # Get all SWIG interface files file(GLOB SYFI_SWIG_INTERFACE_FILES "*.i") # Set GiNaC version number in SWIG source file string(REGEX REPLACE "([^ ])..?..?" "\\1" GINACLIB_MAJOR_VERSION "${GINAC_VERSION}") string(REGEX REPLACE ".?.([^ ])..?" "\\1" GINACLIB_MINOR_VERSION "${GINAC_VERSION}") string(REGEX REPLACE ".?..?.([^ ])" "\\1" GINACLIB_MICRO_VERSION "${GINAC_VERSION}") configure_file(${CMAKE_CURRENT_SOURCE_DIR}/SyFi.i.in ${CMAKE_CURRENT_BINARY_DIR}/SyFi.i @ONLY) # Set SWIG source file set(SWIG_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/${SWIG_MODULE_NAME}.i) set_source_files_properties(${SWIG_SOURCES} PROPERTIES CPLUSPLUS ON) # Remove '-Werror' and '-Wall' flags (if present) when compiling SWIG-generated files string(REGEX REPLACE "-Wall" " " CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") string(REGEX REPLACE "-Wall" " " CMAKE_CXX_FLAGS_DEVELOPER "${CMAKE_CXX_FLAGS_DEVELOPER}") string(REGEX REPLACE "-Werror=format-security" " " CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") string(REGEX REPLACE "-Werror=format-security" " " CMAKE_CXX_FLAGS_DEVELOPER "${CMAKE_CXX_FLAGS_DEVELOPER}") string(REGEX REPLACE "-Werror" " " CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") string(REGEX REPLACE "-Werror" " " CMAKE_CXX_FLAGS_DEVELOPER "${CMAKE_CXX_FLAGS_DEVELOPER}") # The prevents swig being run unnecessarily set_source_files_properties(${SWIG_SOURCES} PROPERTIES SWIG_MODULE_NAME ${SWIG_MODULE_NAME}) # Tell CMake which SWIG interface files should be checked for changes when recompile set(SWIG_MODULE_${SWIG_MODULE_NAME}_EXTRA_DEPS ${SYFI_SWIG_INTERFACE_FILES} ${CMAKE_SOURCE_DIR}/syfi/SyFi.h ) swig_add_module(${SWIG_MODULE_NAME} python ${SWIG_SOURCES}) swig_link_libraries(${SWIG_MODULE_NAME} syfi ${SYFI_TARGET_LINK_LIBRARIES} ${PYTHON_LIBRARIES}) # Install Python .py files get_target_property(SWIG_MODULE_LOCATION ${SWIG_MODULE_${SWIG_MODULE_NAME}_REAL_NAME} LOCATION) install(FILES ${SWIG_MODULE_LOCATION} ${CMAKE_CURRENT_BINARY_DIR}/${SWIG_MODULE_NAME}.py DESTINATION ${SYFI_PYTHON_EXT_DIR}/ COMPONENT RuntimeLibraries ) # Install SWIG interface files install(FILES ${SYFI_SWIG_INTERFACE_FILES} DESTINATION ${SYFI_INCLUDE_DIR}/SyFi/swig COMPONENT Development ) syfi-1.0.0.dfsg.orig/syfi/swig/typemaps.1.3.i0000644000175000017500000000571711672223006020473 0ustar johannrjohannr/* (c) Copyright 2003, 2004, 2005 Author: Ola Skavhaug and Ondrej Certik This file is part of swiginac. swiginac is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. swiginac is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with swiginac; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ %typemap(in) (int idx0, int idx1) { $1 = PyInt_AsLong(PyTuple_GetItem($input,0)); $2 = PyInt_AsLong(PyTuple_GetItem($input,1)); } %typemap(in) GiNaC::lst & { $1=list2lst($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1200) GiNaC::lst & { $1 = (PyList_Check($input)) ? 1 : 0; } %{ // class to handle deleting a temporary resource in an input typemap template class TDeleter { public: T * obj; TDeleter(): obj(0) { //std::cout << "TDeleter constructor." << std::endl; } ~TDeleter() { //std::cout << "TDeleter destructor, obj = " << obj << std::endl; if(obj) { //std::cout << "TDeleter deleting obj:" << std::endl; delete obj; //std::cout << "TDeleter done deleting obj." << std::endl; } //std::cout << "TDeleter is now destroyed." << std::endl; } }; typedef TDeleter ex_deleter; typedef TDeleter const_ex_deleter; %} %typemap(in) GiNaC::ex & (ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } %typemap(in) const GiNaC::ex & (const_ex_deleter deleter) { $1 = type2ex($input); if ($1 == NULL ) { return NULL; } deleter.obj = $1; } //%typemap(in) const ex & = ex &; %typemap(in) GiNaC::ex { GiNaC::ex *tmp = type2ex($input); if (tmp == NULL ) { return NULL; } $1 = *(tmp); delete tmp; } %typemap(in) const GiNaC::ex = GiNaC::ex; %typemap(in) GiNaC::numeric & { $1 = type2numeric($input); if (!$1) return NULL; } %typemap(typecheck, precedence=1210) GiNaC::ex & { $1 = (checktype2ex($input)) ? 1 : 0; } %typemap(typecheck, precedence=1209) GiNaC::ex { $1 = (checktype2ex($input)) ? 1 : 0; } %typemap(out) GiNaC::ex { $result = ex2type(&($1)); } //%typemap(out) ex *{ // $result = ex2type($1); // delete $1; //} %typemap(out) GiNaC::exvector { $result = exvector2list(&($1)); } %typemap(out) GiNaC::lst & { $result = lst2list($1); } %typemap(out) GiNaC::lst { $result = lst2list(&($1)); } //it seems we don't need these /* %typemap(out) ex &{ $result = ex2type($1); }*/ // vim:ft=cpp: syfi-1.0.0.dfsg.orig/syfi/swig/cpp2py_exceptions.i0000644000175000017500000000125211672223006021775 0ustar johannrjohannr %exception { try { $action } // all out_of_range subclasses catch (std::out_of_range &e) { PyErr_SetString(PyExc_IndexError, const_cast(e.what())); return NULL; } // all logic_error subclasses catch (std::logic_error &e) { PyErr_SetString(PyExc_StandardError, const_cast(e.what())); return NULL; } // all runtime_error subclasses catch (std::runtime_error &e) { PyErr_SetString(PyExc_RuntimeError, const_cast(e.what())); return NULL; } // all the rest catch (std::exception &e) { PyErr_SetString(PyExc_Exception, const_cast(e.what())); return NULL; } } syfi-1.0.0.dfsg.orig/syfi/SyFi.h0000644000175000017500000000276411672223006016230 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef SYFI_IS_INCLUDED #define SYFI_IS_INCLUDED // misc #include "tools.h" // dof mapping #include "Dof.h" #include "DofT.h" // base classes for element hierarchy #include "Polygon.h" #include "FE.h" #include "MixedFE.h" // concrete element implementations #include "Lagrange.h" #include "CrouzeixRaviart.h" #include "P0.h" #include "RaviartThomas.h" #include "BrezziDouglasMarini.h" #include "DiscontinuousLagrange.h" #include "Hermite.h" #include "Nedelec.h" #include "Nedelec2Hdiv.h" #include "Bubble.h" #include "ArnoldFalkWintherWeakSym.h" #include "Robust.h" #include "SpaceTimeElement.h" // example code #include "ElementComputations.h" // code generation related /* #include "TempSymbolHandler.h" #include "ExpressionCollection.h" #include "ExpressionSimplifier.h" */ #endif syfi-1.0.0.dfsg.orig/syfi/Lagrange.cpp0000644000175000017500000003534711672223006017434 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include #include "Lagrange.h" #include "ElementComputations.h" #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { Lagrange::Lagrange() : StandardFE() { description = "Lagrange"; } Lagrange::Lagrange(Polygon& p, unsigned int order) : StandardFE(p, order) { compute_basis_functions(); } void Lagrange:: compute_basis_functions() { // NOTE: in the below code dof(i) is not used to // determine the basis functions // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 1 ) { throw(std::logic_error("Lagrangian elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } GiNaC::lst equations; GiNaC::lst variables; GiNaC::ex polynom; if (p->str().find("ReferenceLine") != string::npos) { description = istr("Lagrange_", order) + "_1D"; // Look at the case with the Triangle for a documented code // polynom = pol(order, 1, "a"); // variables = coeffs(polynom); GiNaC::ex polynom_space = bernstein(order, *p, "a"); // GiNaC::ex polynom_space = pol(order, 1, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::ex Nj; for (GiNaC::ex p=0; p<= 1 ; p += increment ) { GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(x == p)); dofs.insert(dofs.end(), GiNaC::lst(p)); } } else if (p->str().find("Line") != string::npos ) { description = istr("Lagrange_", order) + "_1D"; // Look at the case with the Triangle for a documented code // polynom = pol(order, 1, "a"); // variables = coeffs(polynom); GiNaC::ex polynom_space = bernstein(order, *p, "a"); // GiNaC::ex polynom_space = pol(order, 1, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); Polygon& pp = *p; Line& l = (Line&) pp; GiNaC::lst points = bezier_ordinates(l,order); GiNaC::ex Nj; for (unsigned int i=1; i<= points.nops() ; i++ ) { GiNaC::ex point = points.op(i-1); GiNaC::ex eq = polynom == GiNaC::numeric(0); if (point.nops() == 0) eq = eq.subs(x == point); if (point.nops() > 0) eq = eq.subs(x == point.op(0)); if (point.nops() > 1) eq = eq.subs(y == point.op(1)); if (point.nops() > 2) eq = eq.subs(z == point.op(2)); equations.append(eq); dofs.insert(dofs.end(), GiNaC::lst(point)); } } else if (p->str().find("ReferenceTriangle") != string::npos ) { description = istr("Lagrange_", order) + "_2D"; // Look at the case with the Triangle for a documented code // polynom = pol(order, 2, "b"); // variables = coeffs(polynom); GiNaC::ex polynom_space = bernstein(order, *p, "b"); // GiNaC::ex polynom_space = pol(order, 2, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::ex Nj; GiNaC::numeric one = 1; for (GiNaC::ex q=0; q<= one ; q += increment ) { for (GiNaC::ex p=0; p<= one-q ; p += increment ) { GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == p, y == q))); dofs.insert(dofs.end(), GiNaC::lst(p,q)); } } } else if ( p->str().find("Triangle") != string::npos) { description = istr("Lagrange_", order) + "_2D"; // Look HERE for the documented code // GiNaC::ex polynom_space = pol(order, 2, "a"); GiNaC::ex polynom_space = bernstein(order, *p, "b"); // the polynomial spaces on the form: // first item: a0 + a1*x + a2*y + a3*x^2 + a4*x*y ... the polynom // second item: a0, a1, a2, ... the coefficents // third item 1, x, y, x^2, .. the basis // Could also do: // GiNaC::ex polynom_space = bernstein(order, t, "a"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex Nj; Polygon& pp = *p; Triangle& t = (Triangle&) pp; // The bezier ordinates (in which the basis function should be either 0 or 1) GiNaC::lst points = bezier_ordinates(t,order); for (unsigned int i=1; i<= points.nops() ; i++ ) { GiNaC::ex point = points.op(i-1); GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == point.op(0) , y == point.op(1)))); dofs.insert(dofs.end(), GiNaC::lst(point.op(0),point.op(1))); } } else if ( p->str().find("ReferenceRectangle") != string::npos) { description = istr("Lagrange_", order) + "_2D"; // create 1D element, then create tensor product ReferenceLine line; Lagrange fe(line, order); for (unsigned int i=0; i< fe.nbf(); i++) { for (unsigned int j=0; j< fe.nbf(); j++) { Ns.insert(Ns.end(), fe.N(i)*fe.N(j).subs(x==y)); dofs.insert(dofs.end(), GiNaC::lst(fe.dof(i).op(0), fe.dof(j).op(0))); } } return; /* OLD CODE GiNaC::ex polynom_space = legendre(order, 2, "b"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex Nj; Polygon& pp = *p; ReferenceRectangle& b = (ReferenceRectangle&) pp; int no_points = (order+1)*(order+1); GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::numeric one=1.0; for (GiNaC::ex q=0; q <= one ; q += increment ) { for (GiNaC::ex p=0; p <= one ; p += increment ) { GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == p, y == q))); dofs.push_back(GiNaC::lst(p,q)); } } */ } else if ( p->str().find("ReferenceTetrahedron") != string::npos) { description = istr("Lagrange_", order) + "_3D"; // Look at the case with the Triangle for a documented code // polynom = pol(order, 3, "b"); // GiNaC::ex polynom_space = pol(order, 3, "a"); GiNaC::ex polynom_space = bernstein(order, *p, "b"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); int nno =0; for (unsigned int j=0; j<= order; j++) { nno += (j+1)*(j+2)/2; } GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::ex Nj; for (GiNaC::ex r=0; r<= 1 ; r += increment ) { for (GiNaC::ex q=0; q<= 1-r ; q += increment ) { for (GiNaC::ex p=0; p<= 1-r-q ; p += increment ) { GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == p, y == q, z == r ))); dofs.push_back(GiNaC::lst(p,q,r)); } } } } else if ( p->str().find("Tetrahedron") != string::npos) { description = istr("Lagrange_", order) + "_3D"; // Look at the case with the Triangle for a documented code GiNaC::ex polynom_space = pol(order, 3, "a"); // GiNaC::ex polynom_space = bernstein(order, *p, "b"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::ex Nj; Polygon& pp = *p; Tetrahedron& t = (Tetrahedron&) pp; GiNaC::lst points = bezier_ordinates(t,order); for (unsigned int i=1; i<= points.nops() ; i++ ) { GiNaC::ex point = points.op(i-1); GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == point.op(0) , y == point.op(1), z == point.op(2)))); dofs.push_back(GiNaC::lst(point.op(0),point.op(1),point.op(2))); } } else if ( p->str().find("ReferenceBox") != string::npos) { description = istr("Lagrange_", order) + "_3D"; ReferenceLine line; Lagrange fe(line, order); for (unsigned int i=0; i< fe.nbf(); i++) { for (unsigned int j=0; j< fe.nbf(); j++) { for (unsigned int k=0; k< fe.nbf(); k++) { Ns.insert(Ns.end(), fe.N(i)*fe.N(j).subs(x==y)*fe.N(k).subs(x==z)); dofs.insert(dofs.end(), GiNaC::lst(fe.dof(i).op(0), fe.dof(j).op(0), fe.dof(k).op(0))); } } } return; /* OLD CODE GiNaC::ex polynom_space = legendre(order, 3, "b"); polynom = polynom_space.op(0); variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex Nj; Polygon& pp = *p; ReferenceRectangle& b = (ReferenceRectangle&) pp; int no_points = (order+1)*(order+1)*(order+1); GiNaC::ex increment = GiNaC::numeric(1,order); GiNaC::numeric one = 1; for (GiNaC::ex p=0; p <= one ; p += increment) { for (GiNaC::ex q=0; q <= one ; q += increment) { for (GiNaC::ex r=0; r <= one ; r += increment) { GiNaC::ex eq = polynom == GiNaC::numeric(0); equations.append(eq.subs(GiNaC::lst(x == p, y == q, z==r))); dofs.push_back(GiNaC::lst(p,q,r)); } } } / * GiNaC::ex subs = lsolve(equations, variables); Nj = polynom.subs(subs); Ns.push_back(Nj); */ } // invert the matrix: // GiNaC has a bit strange way to invert a matrix. // It solves the system AA^{-1} = Id. // It seems that this way is the only way to do // properly with the solve_algo::gauss flag. // // std::cout <<"no variables "<(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #include "Dof_Ptv.h" syfi-1.0.0.dfsg.orig/syfi/Bubble.h0000644000175000017500000000202211672223006016534 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef BUBBLEFE_IS_INCLUDED #define BUBBLEFE_IS_INCLUDED #include "FE.h" namespace SyFi { class Bubble : public StandardFE { public: Bubble(); Bubble(Polygon& p, unsigned int order = 3); virtual ~Bubble() {} virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Lagrange.h0000644000175000017500000000347111672223006017072 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef LAGRANGEFE_IS_INCLUDED #define LAGRANGEFE_IS_INCLUDED #include "FE.h" namespace SyFi { class Lagrange : public StandardFE { public: Lagrange(); Lagrange(Polygon& p, unsigned int order = 1); virtual ~Lagrange() {} virtual void compute_basis_functions(); }; class VectorLagrange : public StandardFE { protected: unsigned int size; public: VectorLagrange(); VectorLagrange(Polygon& p, unsigned int order = 1, unsigned int size = 0); ~VectorLagrange() {} virtual void set_size(unsigned int size_); virtual void compute_basis_functions(); }; class TensorLagrange : public StandardFE { protected: unsigned int size; public: TensorLagrange(); TensorLagrange(Polygon& p, unsigned int order = 1, unsigned int size = 0); ~TensorLagrange() {} virtual void set_size(unsigned int size_); virtual void compute_basis_functions(); }; GiNaC::ex lagrange(unsigned int order, Polygon& p, const std::string & a); GiNaC::lst lagrangev(unsigned int no_fields, unsigned int order, Polygon& p, const std::string & a); } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Robust.h0000644000175000017500000000217511672223006016630 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef ROBUST_IS_INCLUDED #define ROBUST_IS_INCLUDED #include "FE.h" namespace SyFi { class Robust : public StandardFE { public: bool pointwise; GiNaC::lst dof_repr; Robust(); Robust(Polygon& p, unsigned int order = 0, bool pointwise=true); virtual ~Robust() {} virtual void compute_basis_functions(); virtual void compute_basis_functions_old(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Ptv_tools.h0000644000175000017500000000266711672223006017351 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef PTV_TOOLS_IS_INCLUDED #define PTV_TOOLS_IS_INCLUDED #include "Ptv.h" #include using namespace std; namespace SyFi { void sort_vector(vector& a); void set_tolerance(double tolerance); double mul(const Ptv&a, const Ptv& b); double norm(const Ptv& a); void normalize(Ptv& a); void add(const Ptv&a, const Ptv& b, Ptv& c); void sub(const Ptv&a, const Ptv& b, Ptv& c); void cross(const Ptv& a, const Ptv& b, Ptv& c); bool is_equal(Ptv& a, Ptv& b); bool line_contains(Ptv& e0, Ptv& e1, Ptv& p); bool is_inside_triangle(Ptv& e0, Ptv& e1, Ptv& e2, Ptv& p); bool contains2D(Ptv& e0, Ptv& e1, Ptv& p); bool contains3D(Ptv& e0, Ptv& e1, Ptv& e2, Ptv& p); } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/diff_tools.cpp0000644000175000017500000001644011672223006020035 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "diff_tools.h" #include "symbol_factory.h" #include namespace SyFi { /* Alternative implementation for any vector representation GiNaC::ex div(GiNaC::ex v){ using SyFi::nsd; using SyFi::p; if(nsd != v.nops()) { throw std::invalid_argument("In div(v): The number of elements must equal nsd."); } GiNaC::ex ret = 0; for(int i=0; i(v)) { GiNaC::matrix m = GiNaC::ex_to(v); if ( m.cols() == 1 && m.rows() == nsd ) { if (nsd == 1) { ret = diff(m,x); } else if (nsd == 2) { ret = diff(m.op(0),x) + diff(m.op(1),y) ; } else if (nsd == 3) { ret = diff(m.op(0),x) + diff(m.op(1),y) + diff(m.op(2),z) ; } else { throw std::runtime_error("Invalid nsd"); } } else { GiNaC::matrix retm = GiNaC::matrix(m.cols(),1); if ( nsd != m.rows() ) { throw(std::invalid_argument("The number of rows must equal nsd.")); } GiNaC::symbol xr; GiNaC::ex tmp; for (unsigned int c=0; c(v)) { GiNaC::lst l = GiNaC::ex_to(v); return div(l); } throw std::invalid_argument("v must be a matrix or lst."); } GiNaC::ex div(GiNaC::ex v, GiNaC::ex G) { using SyFi::nsd; using SyFi::x; using SyFi::y; using SyFi::z; GiNaC::ex ret; if (GiNaC::is_a(v) && GiNaC::is_a(G)) { GiNaC::matrix m = GiNaC::ex_to(v); GiNaC::matrix GG = GiNaC::ex_to(G); if ( m.cols() == 1 && m.rows() == nsd && GG.rows() == nsd && GG.cols() == nsd ) { if ( nsd == 1 || nsd == 2 || nsd == 3) { ret = GiNaC::numeric(0); GiNaC::symbol xj; for (unsigned int i=0; i< nsd; i++) { for (unsigned int j=0; j< nsd; j++) { if (j == 0) xj = x; if (j == 1) xj = y; if (j == 2) xj = z; ret += m.op(i).diff(xj)*GG(i,j); } } } else { throw std::runtime_error("Invalid nsd"); } } else { throw std::invalid_argument("This functions needs v and G on the form: v.cols()=1, v.rows()=G.rows()=G.cols()=nsd."); } } else if (GiNaC::is_a(v)) { GiNaC::lst l = GiNaC::ex_to(v); return div(l,G); } else { throw std::invalid_argument("v must be a matrix or lst."); } return ret; } GiNaC::ex div(GiNaC::lst& v) { using SyFi::x; using SyFi::y; using SyFi::z; using SyFi::nsd; nsd = v.nops(); GiNaC::ex ret; if (nsd == 1) { ret = v.op(0).diff(x); } else if (nsd == 2) { ret = v.op(0).diff(x) + v.op(1).diff(y); } else if (nsd == 3) { ret = v.op(0).diff(x) + v.op(1).diff(y) + v.op(2).diff(z); } return ret; } GiNaC::ex div(GiNaC::lst& v, GiNaC::ex G) { using SyFi::x; using SyFi::y; using SyFi::z; using SyFi::nsd; nsd = v.nops(); GiNaC::ex ret; if (GiNaC::is_a(G)) { GiNaC::matrix GG = GiNaC::ex_to(G); if ( nsd != GG.cols() || nsd != GG.rows()) { throw(std::invalid_argument("The number of rows and cols in G must equal the size of v.")); } if (nsd == 1 || nsd == 2 || nsd == 3 ) { GiNaC::symbol xj; ret = GiNaC::numeric(0); for (unsigned int i=0; i< nsd; i++) { for (unsigned int j=0; j< nsd; j++) { if (i == 0) xj = x; if (i == 1) xj = y; if (i == 2) xj = z; ret += v.op(i).diff(xj)*GG(i,j); } } } else { throw std::runtime_error("Invalid nsd"); } } else { throw std::invalid_argument("v must be a matrix."); } return ret; } GiNaC::ex div(GiNaC::exvector& v) { using SyFi::nsd; using SyFi::x; using SyFi::y; using SyFi::z; GiNaC::ex ret; if (nsd == 2) { ret = v[0].diff(x) + v[1].diff(y); } else if (nsd == 3) { ret = v[0].diff(x) + v[1].diff(y) + v[2].diff(z); } return ret; } GiNaC::ex grad(GiNaC::ex f) { using SyFi::nsd; using SyFi::x; using SyFi::y; using SyFi::z; if (GiNaC::is_a(f)) { GiNaC::matrix m = GiNaC::ex_to(f); GiNaC::matrix ret_m(nsd,m.rows()); for (unsigned int r=0; r< m.rows(); r++) { if (nsd == 1) { // ret_m(0,r) = diff(m.op(r),x); return diff(f, x); } else if ( nsd == 2) { ret_m(0,r) = diff(m.op(r),x); ret_m(1,r) = diff(m.op(r),y); } else if ( nsd == 3) { ret_m(0,r) = diff(m.op(r),x); ret_m(1,r) = diff(m.op(r),y); ret_m(2,r) = diff(m.op(r),z); } } return ret_m; } else { if (nsd == 1) { // return GiNaC::matrix(nsd,1,GiNaC::lst(diff(f,x))); return diff(f,x); } else if ( nsd == 2) { return GiNaC::matrix(nsd,1,GiNaC::lst(diff(f,x), diff(f,y))); } else if ( nsd == 3) { return GiNaC::matrix(nsd,1,GiNaC::lst(diff(f,x), diff(f,y), diff(f,z))); } else { throw(std::invalid_argument("nsd must be either 1, 2, or 3.")); return GiNaC::matrix(); } } } GiNaC::ex grad(GiNaC::ex f, GiNaC::ex G) { using SyFi::nsd; using SyFi::x; using SyFi::y; using SyFi::z; GiNaC::symbol xr; if ( GiNaC::is_a(G)) { GiNaC::matrix GG = GiNaC::ex_to(G); if (! (GG.rows() == nsd && GG.cols() == nsd )) { throw(std::invalid_argument("The number of cols/rows in G must equal nsd.")); } if (GiNaC::is_a(f) ) { GiNaC::matrix m = GiNaC::ex_to(f); GiNaC::matrix ret_m(nsd,m.rows()); for (unsigned int k=0; k< m.rows(); k++) { for (unsigned int c=0; c. #ifndef P0FE_IS_INCLUDED #define P0FE_IS_INCLUDED #include "FE.h" namespace SyFi { class P0 : public StandardFE { public: P0(); P0(Polygon& p, unsigned int order = 0); virtual ~P0() {} virtual void compute_basis_functions(); }; class VectorP0 : public StandardFE { protected: unsigned int size; public: VectorP0(); VectorP0(Polygon& p, unsigned int order = 0, unsigned int size = 0 ); ~VectorP0() {} virtual void set_size(unsigned int size_); virtual void compute_basis_functions(); }; class TensorP0 : public StandardFE { protected: unsigned int size; public: TensorP0(); TensorP0(Polygon& p, unsigned int order = 0, unsigned int size = 0 ); ~TensorP0() {} virtual void set_size(unsigned int size_); virtual void compute_basis_functions(); }; } #endif syfi-1.0.0.dfsg.orig/syfi/utilities.cpp0000644000175000017500000000614511672223006017721 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "utilities.h" #include "syfi_version.h" #include #include using namespace std; namespace SyFi { /* Version information buried into the library */ const int version_major = SYFILIB_MAJOR_VERSION; const int version_minor = SYFILIB_MINOR_VERSION; const char* version_micro = SYFILIB_MICRO_VERSION; int dirac(unsigned int i, unsigned int j) { if (i==j) return 1; else return 0; } string int2string(int i) { ostringstream os; os << i; return os.str(); } string istr(const string & a, int b) { ostringstream s; s << a << b; return s.str(); } string istr(const string & a, int b, int c) { ostringstream s; s << a << b << "_" <, GiNaC::ex>& A) { map,GiNaC::ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { cout <<"A["<<(*iter).first.first<<","<<(*iter).first.second<<"]="<<(*iter).second<. #include "CrouzeixRaviart.h" #include "tools.h" using std::cout; using std::endl; using std::string; namespace SyFi { CrouzeixRaviart:: CrouzeixRaviart() : StandardFE() { order = 1; } CrouzeixRaviart:: CrouzeixRaviart (Polygon& p, unsigned int order) : StandardFE(p, order) { compute_basis_functions(); } void CrouzeixRaviart:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if (order != 1) { throw(std::logic_error("Only Crouziex-Raviart elements of order 1 is possible")); } // see e.g. Brezzi and Fortin book page 116 for the definition if ( p->str().find("ReferenceLine") != string::npos ) { cout <<"Can not define the Raviart-Thomas element on a line"<str().find("Triangle") != string::npos ) { description = "CrouzeixRaviart_2D"; Triangle& triangle = (Triangle&)(*p); // create the polynomial space GiNaC::ex polynom_space = bernstein(1, triangle, "a"); GiNaC::ex polynom = polynom_space.op(0); GiNaC::lst variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex basis = polynom_space.op(2); // create the dofs GiNaC::symbol t("t"); for (int j=0; j< 3; j++) { // solve the linear system to compute // each of the basis functions GiNaC::lst equations; for (int i=0; i< 3; i++) { Line line = triangle.line(i); // GiNaC::ex dofi = line.integrate(polynom); GiNaC::lst midpoint = GiNaC::lst( (line.vertex(0).op(0) + line.vertex(1).op(0))/2, (line.vertex(0).op(1) + line.vertex(1).op(1))/2); dofs.insert(dofs.end(), midpoint); // GiNaC::ex dofi = polynom.subs( x == midpoint.op(0)).subs( y == midpoint.op(1)); GiNaC::ex dofi = line.integrate(polynom); equations.append( dofi == dirac(i,j)); if (j == 1) { // GiNaC::lst d = GiNaC::lst(line.vertex(0) , line.vertex(1)); dofs.insert(dofs.end(), midpoint); } } GiNaC::ex sub = lsolve(equations, variables); GiNaC::ex Ni = polynom.subs(sub); Ns.insert(Ns.end(),Ni); } } else if ( p->str().find("Tetrahedron") != string::npos ) { description = "CrouzeixRaviart_3D"; Tetrahedron& tetrahedron = (Tetrahedron&)(*p); GiNaC::ex polynom_space = bernstein(1, tetrahedron, "a"); GiNaC::ex polynom = polynom_space.op(0); GiNaC::lst variables = GiNaC::ex_to(polynom_space.op(1)); GiNaC::ex basis = polynom_space.op(2); GiNaC::ex bernstein_pol; GiNaC::symbol t("t"); // dofs related to edges for (int j=0; j< 4; j++) { GiNaC::lst equations; for (int i=0; i< 4; i++) { Triangle triangle = tetrahedron.triangle(i); GiNaC::lst midpoint = GiNaC::lst( (triangle.vertex(0).op(0) + triangle.vertex(1).op(0) + triangle.vertex(2).op(0))/3, (triangle.vertex(0).op(1) + triangle.vertex(1).op(1) + triangle.vertex(2).op(1))/3, (triangle.vertex(0).op(2) + triangle.vertex(1).op(2) + triangle.vertex(2).op(2))/3 ); GiNaC::ex dofi = polynom.subs(x == midpoint.op(0)).subs(y == midpoint.op(1)).subs(z == midpoint.op(2)); equations.append( dofi == dirac(i,j)); if ( j == 1 ) { // GiNaC::lst d = GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)); dofs.insert(dofs.end(), midpoint); } } GiNaC::ex sub = lsolve(equations, variables); GiNaC::ex Ni = polynom.subs(sub); Ns.insert(Ns.end(),Ni); } } } // ------------VectorCrouzeixRaviart --- VectorCrouzeixRaviart:: VectorCrouzeixRaviart (Polygon& p, unsigned int order, unsigned int size_) : StandardFE(p, order) { size = size_ < 0 ? nsd: size_; compute_basis_functions(); } VectorCrouzeixRaviart:: VectorCrouzeixRaviart() : StandardFE() { description = "VectorCrouzeixRaviart"; order = 1; } void VectorCrouzeixRaviart:: compute_basis_functions() { if (order != 1) { throw(std::logic_error("Only Crouziex-Raviart elements of order 1 is possible")); } CrouzeixRaviart fe; fe.set_polygon(*p); fe.compute_basis_functions(); description = "Vector" + fe.str(); GiNaC::lst zero_list; for (unsigned int s=1; s<= size ; s++) { zero_list.append(0); } for (unsigned int s=0; s< size ; s++) { for (unsigned int i=0; i< fe.nbf() ; i++) { GiNaC::lst Nis = zero_list; Nis.let_op(s) = fe.N(i); GiNaC::ex Nmat = GiNaC::matrix(size,1,Nis); Ns.insert(Ns.end(), Nmat); GiNaC::lst dof = GiNaC::lst(fe.dof(i), s) ; dofs.insert(dofs.end(), dof); } } } void VectorCrouzeixRaviart:: set_size(unsigned int size_) { size = size_; } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/ginac_tools.h0000644000175000017500000001273211672223006017653 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef GINAC_TOOLS_IS_INCLUDED #define GINAC_TOOLS_IS_INCLUDED #include #include #include #include #include "utilities.h" namespace SyFi { bool compare(const GiNaC::ex & e, const std::string & s); void EQUAL_OR_DIE(const GiNaC::ex & e, const std::string & s); // Read two archive files and compare the expressions. // If any expressions are not equal, prints them and // returns false. Returns true if all expressions are equal. bool compare_archives(const std::string & first, const std::string & second, std::ostream & os=std::cout); // using lst as a vector // inner product of vectors or lst GiNaC::ex inner(GiNaC::ex a, GiNaC::ex b, bool transposed = false); GiNaC::ex inner(GiNaC::exvector& v1, GiNaC::exvector& v2); GiNaC::ex inner(GiNaC::lst v1, GiNaC::lst v2); GiNaC::lst cross(GiNaC::lst& v1, GiNaC::lst& v2); // matrix vector product GiNaC::lst matvec(GiNaC::matrix& M, GiNaC::lst& x); GiNaC::ex matvec(GiNaC::ex A, GiNaC::ex x); GiNaC::lst ex2equations(GiNaC::ex rel); GiNaC::lst collapse(GiNaC::lst l); GiNaC::matrix equations2matrix (const GiNaC::ex &eqns, const GiNaC::ex &symbols); void matrix_from_equations(const GiNaC::ex &eqns, const GiNaC::ex &symbols, GiNaC::matrix &A, GiNaC::matrix& b); GiNaC::ex lst_to_matrix2(const GiNaC::lst & l); GiNaC::lst matrix_to_lst2(const GiNaC::ex & m ); GiNaC::lst lst_equals(GiNaC::ex a, GiNaC::ex b); // FIXME bad name int find(GiNaC::ex e, GiNaC::lst list); // TODO: remove these two: void check_visitor(GiNaC::ex e, GiNaC::lst& exlist); void visitor_subst_pow(GiNaC::ex e, GiNaC::exmap& map, ex_int_map& intmap, std::string a); // generates a polynom of arbitrary order on a line, a triangle, or a tetrahedron GiNaC::ex pol(unsigned int order, unsigned int nsd, const std::string a); // generates a vector polynom of arbitrary order on a line, a triangle or a tetrahedron GiNaC::lst polv(unsigned int no_fields, unsigned int order, unsigned int nsd, const std::string a); // generates a polynom of arbitrary order on a square or a box GiNaC::ex polb(unsigned int order, unsigned int nsd, const std::string a); // generates a vector polynom of arbitrary order on a squart or a box //lst polbv(int order, int nsd, const std::string a); // generates a homogenous polynom of arbitrary order on a line, a triangle, or a tetrahedron GiNaC::ex homogenous_pol(unsigned int order, unsigned int nsd, const std::string a); // generates a homogenous vector polynom of arbitrary order GiNaC::lst homogenous_polv(unsigned int no_fields, unsigned int order, unsigned int nsd, const std::string a); // generates a Legendre polynom of arbitrary order GiNaC::ex legendre(unsigned int order, unsigned int nsd, const std::string a); // generates a Legendre vector polynom of arbitrary order GiNaC::lst legendrev(unsigned int no_fields, unsigned int order, unsigned int nsd, const std::string a); // extracts the coefficents from a polynomial GiNaC::exvector coeff(GiNaC::ex pol); GiNaC::lst coeffs(GiNaC::ex pol); GiNaC::lst coeffs(GiNaC::lst pols); // extract the basisfunctions and corresponding coefficents from a polynomial GiNaC::exmap pol2basisandcoeff(GiNaC::ex e); GiNaC::exmap pol2basisandcoeff(GiNaC::ex e, GiNaC::ex s); // Collect all symbols of an expression void collect_symbols(const GiNaC::ex & e, exset & v); GiNaC::exvector collect_symbols(const GiNaC::ex & e); // Builds a map with the number of occurrences of each symbol. // Highly dependent on the current form of the expression. GiNaC::exhashmap count_symbols(const GiNaC::ex & e); // Extract all symbols into a lst. Useful for comparing // expressions to other ex read from an archive. GiNaC::ex extract_symbols(const GiNaC::ex & e); //std::list get_symbols(const GiNaC::ex & e); //GiNaC::exvector get_symbols(const GiNaC::ex & e); //void get_symbols(const GiNaC::ex & e, GiNaC::exmap & em); // Utility class to collect statistics about an expression. class ExStats { public: ExStats(): muls(0), adds(0), pows(0), functions(0), flops(0) {} inline const ExStats & operator+=(const ExStats & rhs) { muls += rhs.muls; adds += rhs.adds; pows += rhs.pows; functions += rhs.functions; flops += rhs.flops; return *this; } int muls; int adds; int pows; int functions; // flops = sum of multiplications and additions, with integer powers interpreted as many multiplications int flops; }; // Count the number of operations in an expression. ExStats count_ops(const GiNaC::ex & e); // ===== expression manipulation GiNaC::ex replace_powers(const GiNaC::ex & e, const std::list & symbols, std::list & sel, const std::string & tmpsymbolprefix="p_"); }; // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/Ptv.h0000644000175000017500000000347111672223006016123 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef PTV_INCLUDED #define PTV_INCLUDED #include #include class Ptv { public: unsigned int dim; double* v; static double tol; Ptv(unsigned int size_); Ptv(unsigned int size_, double* v_); Ptv(double x, double y); Ptv(double x, double y, double z); Ptv(const Ptv& p); Ptv(); void redim(unsigned int size_, double *v_); void redim(unsigned int size_); void fill(double *v_); virtual ~Ptv(); const unsigned int size() const; const double& operator [] (unsigned int i) const; double& operator [] (unsigned int i); Ptv& operator = (const Ptv& p); bool less(const Ptv& p) const; }; struct Ptv_is_less : public std::binary_function { bool operator() (const Ptv &lh, const Ptv &rh) const { return lh.less(rh); } }; class Ptv_match : public std::unary_function { protected: static double tol; unsigned int d; double v; public: Ptv_match(); Ptv_match(unsigned int d_, double v_); virtual ~Ptv_match() {} bool operator() (const Ptv &p); }; std::ostream & operator<< ( std::ostream& os, const Ptv& p); #endif syfi-1.0.0.dfsg.orig/syfi/Polygon.cpp0000644000175000017500000013530511672223006017336 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include #include "Polygon.h" #include "tools.h" #include "symbol_factory.h" //using namespace std; using std::string; using GiNaC::ex; using GiNaC::lst; using GiNaC::exvector; using GiNaC::ex_to; using GiNaC::is_a; using GiNaC::numeric; namespace SyFi { //--- Polygon ------------------------------------ // Polygon::Polygon(const string & subscript_, unsigned int no_vert): subscript(subscript_), p(no_vert) { } Polygon::Polygon(const Polygon& polygon) : subscript(polygon.str()), p(polygon.no_vertices()) { for (unsigned int i=0; i p.size()-1 ) { throw std::out_of_range("Vertex index is out of range!"); } return p[i]; } Line Polygon::line(unsigned int i) const { throw std::logic_error("line not implemented for this polygon subclass"); } Triangle Polygon::triangle(unsigned int i) const { throw std::logic_error("triangle not implemented for this polygon subclass"); } Rectangle Polygon::rectangle(unsigned int i) const { throw std::logic_error("rectangle not implemented for this polygon subclass"); } //--- Line ------------------------------------ // Line::Line(ex x0, ex x1, const string & subscript_): Polygon(subscript_, 2) { /* Lines on the form * x = x_0 + a_1 t * y = y_0 + a_2 t * z = z_0 + a_3 t */ p[0] = x0; p[1] = x1; //update internal structure if ( nsd == 1 ) { a_ = x1-x0; b_ = x0; } else if ( (GiNaC::is_a(x0) && GiNaC::is_a(x1)) && (x0.nops() == x1.nops()) ) { // TODO: support matrix in addition to lst? lst aa; lst bb; // compute aa and bb for (unsigned int i=0; i<= x0.nops()-1; i++) { bb.append(x0.op(i)); aa.append(x1.op(i) - x0.op(i)); } a_ = aa; b_ = bb; } else { throw(std::logic_error("The points x0 and x1 needs to be of type lst if nsd > 1.")); } } Line::Line(const Line& line): Polygon(line), a_(line.a_), b_(line.b_) { } unsigned int Line::no_space_dim() const { return 1; } ex Line::a() const { return a_; } ex Line::b() const { return b_; } ex Line::repr(Repr_format format) const { return repr(GiNaC::symbol("t"), format); } ex Line::repr(ex t, Repr_format format) const { /* NOTE: use the same symbols in this * description as in the actual symbols * below and in the documentation. * * Lines on the form * x = x_0 + a_1 t, * y = y_0 + a_2 t, * z = z_0 + a_3 t. * for t in [0,1] */ lst r; if ( format == SUBS_PERFORMED ) { if (!GiNaC::is_a(a_)) { r = lst( x == b_ + a_*t); } else { if ( a_.nops() == 1) { r = lst( x == b_.op(0) + a_.op(0)*t); } // 2D else if ( a_.nops() == 2) { r = lst( x == b_.op(0) + a_.op(0)*t, y == b_.op(1) + a_.op(1)*t); // 3D } else if ( a_.nops() == 3) { r = lst( x == b_.op(0) + a_.op(0)*t, y == b_.op(1) + a_.op(1)*t, z == b_.op(2) + a_.op(2)*t); } } r.append(lst(t,0,1)); } else if ( format == SUBS_NOT_PERFORMED ) { // NOTE: decide how the constant should be !! GiNaC::symbol a1("A"+subscript); GiNaC::symbol a2("C"+subscript); GiNaC::symbol a3("E"+subscript); GiNaC::symbol b1("B"+subscript); GiNaC::symbol b2("D"+subscript); GiNaC::symbol b3("F"+subscript); // 2D if ( a_.nops() == 2) { r = lst( x == b1 + a1*t, y == b2 + a2*t); r.append( a1 == a_.op(0)); r.append( b1 == b_.op(0)); r.append( a2 == a_.op(1)); r.append( b2 == b_.op(1)); // 3D } else if ( a_.nops() == 3) { r = lst( x == b1 + a1*t, y == b2 + a2*t, z == b3 + a3*t); r.append( a1 == a_.op(0)); r.append( b1 == b_.op(0)); r.append( a2 == a_.op(1)); r.append( b2 == b_.op(1)); r.append( a3 == a_.op(2)); r.append( b3 == b_.op(2)); } r.append(lst(t,0,1)); } return r; } const string Line::str() const { std::ostringstream s; // s <<"Line("<=nsd; i--) { intf = GiNaC::integral(s_repr.op(i).op(0), s_repr.op(i).op(1), s_repr.op(i).op(2), intf); intf = GiNaC::eval_integ(intf); } return intf; } Simplex Simplex::sub_simplex(unsigned int i) { if ( i < 0 || i >= p.size()) { throw std::out_of_range("Can only create subsimplices between 0 and the number of vertices-1."); } lst v; for (unsigned int k=0; k< p.size(); k++) { if ( k != i) { v.append(p[k]); } } return Simplex(v, istr(subscript, i)); } Simplex* Simplex::copy() const { return new Simplex(*this); } //-- tools for Polygons ------------------------------------------------------ lst bezier_ordinates(Tetrahedron& tetrahedra, unsigned int d) { //FIXME: ugly conversion to matrix lst ret; ex V1 = tetrahedra.vertex(0); ex V2 = tetrahedra.vertex(1); ex V3 = tetrahedra.vertex(2); ex V4 = tetrahedra.vertex(3); lst V1l = ex_to(V1); lst V2l = ex_to(V2); lst V3l = ex_to(V3); lst V4l = ex_to(V4); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); ex V3m = lst_to_matrix2(V3l); ex V4m = lst_to_matrix2(V4l); int l; for (unsigned int i=0; i<= d; i++) { for (unsigned int j=0; j<= d; j++) { for (unsigned int k=0; k<= d; k++) { if ( d - i - j -k >= 0 ) { l= d - i - j -k; ex sum = (l*V1m + k*V2m + j*V3m + i*V4m)/d; ret.append(matrix_to_lst2(sum.evalm())); } } } } // FIXME how should these be sorted ????? // ret = ret.sort(); return ret; } lst interior_coordinates(Tetrahedron& tetrahedra, unsigned int d) { //FIXME: ugly conversion to matrix d = d+4; lst ret; ex V1 = tetrahedra.vertex(0); ex V2 = tetrahedra.vertex(1); ex V3 = tetrahedra.vertex(2); ex V4 = tetrahedra.vertex(3); lst V1l = ex_to(V1); lst V2l = ex_to(V2); lst V3l = ex_to(V3); lst V4l = ex_to(V4); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); ex V3m = lst_to_matrix2(V3l); ex V4m = lst_to_matrix2(V4l); int l; for (unsigned int i=1; i< d; i++) { for (unsigned int j=1; j< d; j++) { for (unsigned int k=1; k< d; k++) { if ( int(d) - int(i) - int(j) - int(k) >= 1 ) { l= int(d) - int(i) - int(j) - int(k); ex sum = (l*V1m + k*V2m + j*V3m + i*V4m)/d; ret.append(matrix_to_lst2(sum.evalm())); } } } } // FIXME how should these be sorted ????? // ret = ret.sort(); return ret; } lst bezier_ordinates(Triangle& triangle, unsigned int d) { //FIXME: ugly conversion to matrix lst ret; ex V1 = triangle.vertex(0); ex V2 = triangle.vertex(1); ex V3 = triangle.vertex(2); lst V1l = ex_to(V1); lst V2l = ex_to(V2); lst V3l = ex_to(V3); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); ex V3m = lst_to_matrix2(V3l); int k; for (unsigned int i=0; i <= d; i++) { for (unsigned int j=0; j <= d; j++) { if ( int(d) - int(i) - int(j) >= 0 ) { k = d - i - j; ex sum = (k*V1m + j*V2m + i*V3m)/d; ret.append(matrix_to_lst2(sum.evalm())); } } } // FIXME how should these be sorted ????? // ret = ret.sort(); return ret; } lst interior_coordinates(Triangle& triangle, unsigned int d) { //FIXME: ugly conversion to matrix // d=d+3; lst ret; ex V1 = triangle.vertex(0); ex V2 = triangle.vertex(1); ex V3 = triangle.vertex(2); lst V1l = ex_to(V1); lst V2l = ex_to(V2); lst V3l = ex_to(V3); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); ex V3m = lst_to_matrix2(V3l); int k; for (unsigned int i=1; i < d; i++) { for (unsigned int j=1; j < d; j++) { if ( int(d) - int(i) - int(j) >= 1 ) { k = d - i - j; ex sum = (k*V1m + j*V2m + i*V3m)/d; ret.append(matrix_to_lst2(sum.evalm())); } } } // FIXME how should these be sorted ????? // ret = ret.sort(); return ret; } lst bezier_ordinates(Line& line, unsigned int d) { lst ret; ex V1 = line.vertex(0); ex V2 = line.vertex(1); if (!GiNaC::is_a(V1)) { int k; for (unsigned int i=0; i <= d; i++) { k = d - i; ex sum = (k*V1 + i*V2)/d; ret.append(sum); } } else { //FIXME: ugly conversion to matrix lst V1l = ex_to(V1); lst V2l = ex_to(V2); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); int k; for (unsigned int i=0; i <= d; i++) { k = d - i; ex sum = (k*V1m + i*V2m)/d; ret.append(matrix_to_lst2(sum.evalm())); } // FIXME how should these be sorted ????? // ret = ret.sort(); } return ret; } lst interior_coordinates(Line& line, unsigned int d) { //FIXME: ugly conversion to matrix d = d+2; lst ret; ex V1 = line.vertex(0); ex V2 = line.vertex(1); lst V1l = ex_to(V1); lst V2l = ex_to(V2); ex V1m = lst_to_matrix2(V1l); ex V2m = lst_to_matrix2(V2l); int k; for (unsigned int i=1; i < d; i++) { k = d - i; ex sum = (k*V1m + i*V2m)/d; ret.append(matrix_to_lst2(sum.evalm())); } // FIXME how should these be sorted ????? // ret = ret.sort(); return ret; } // FIXME barycenter_line, barycenter_triangle, barycenter_tetrahedron // all needs to determine which equations to use in a proper way ex barycenter_line(ex p0, ex p1) { ex sol; // 1D if (!GiNaC::is_a(p0)) { GiNaC::symbol b0("b0"), b1("b1"); ex eq1 = x == b0*p0 + b1*p1; ex eq2 = 1 == b0 + b1; sol = lsolve(lst(eq1, eq2), lst(b0, b1)); } else if (p0.nops() == 1 && p1.nops() == 1) { GiNaC::symbol b0("b0"), b1("b1"); ex eq1 = x == b0*p0.op(0) + b1*p1.op(0); ex eq2 = 1 == b0 + b1; sol = lsolve(lst(eq1, eq2), lst(b0, b1)); if ( sol == 0 ) { ex eq1 = y == b0*p0.op(1) + b1*p1.op(1); sol = lsolve(lst(eq1, eq2), lst(b0, b1)); } if ( sol == 0 ) { ex eq1 = z == b0*p0.op(2) + b1*p1.op(2); sol = lsolve(lst(eq1, eq2), lst(b0, b1)); } } //2D else if ( p0.nops() == 2 && p1.nops() == 2 ) { GiNaC::symbol b0("b0"), b1("b1"); ex eq1 = x == b0*p0.op(0) + b1*p1.op(0); ex eq3 = 1 == b0 + b1; sol = lsolve(lst(eq1, eq3), lst(b0, b1)); if (sol.nops() == 0) { ex eq2 = y == b0*p0.op(1) + b1*p1.op(1); sol = lsolve(lst(eq2, eq3), lst(b0, b1)); } } //3D else if ( p0.nops() == 3 && p1.nops() == 3 ) { GiNaC::symbol b0("b0"), b1("b1"); ex eq1 = x == b0*p0.op(0) + b1*p1.op(0); ex eq4 = 1 == b0 + b1; sol = lsolve(lst(eq1, eq4), lst(b0, b1)); if (sol.nops() == 0) { ex eq2 = y == b0*p0.op(1) + b1*p1.op(1); sol = lsolve(lst(eq2, eq4), lst(b0, b1)); } if (sol.nops() == 0) { ex eq3 = z == b0*p0.op(2) + b1*p1.op(2); sol = lsolve(lst(eq3, eq4), lst(b0, b1)); } } else { throw std::runtime_error("Could not compute the barycentric coordinates. Check the coordinates."); } return sol; } ex barycenter_triangle(ex p0, ex p1, ex p2) { ex sol; // 2D if ( p0.nops() == 2 && p1.nops() == 2 && p2.nops() == 2) { GiNaC::symbol b0("b0"), b1("b1"), b2("b2"); ex eq1 = x == b0*p0.op(0) + b1*p1.op(0) + b2*p2.op(0); ex eq2 = y == b0*p0.op(1) + b1*p1.op(1) + b2*p2.op(1); ex eq3 = 1 == b0 + b1 + b2; sol = lsolve(lst(eq1, eq2, eq3), lst(b0, b1, b2)); } // 3D else if ( p0.nops() == 3 && p1.nops() == 3 && p2.nops() == 3) { lst n1(p1.op(0) - p0.op(0), p1.op(1) - p0.op(1), p1.op(2) - p0.op(2)); lst n2 = lst(p2.op(0) - p0.op(0), p2.op(1) - p0.op(1), p2.op(2) - p0.op(2)); lst n = cross(n1,n2); lst midpoint = lst((p0.op(0) + p1.op(0) + p2.op(0))/3, (p0.op(1) + p1.op(1) + p2.op(1))/3, (p0.op(2) + p1.op(2) + p2.op(2))/3); ex p3 = lst(midpoint.op(0) + n.op(0), midpoint.op(1) + n.op(1), midpoint.op(2) + n.op(2)); ex s = barycenter_tetrahedron(p0, p1, p2, p3); lst solution; for (unsigned int i=0; i(d)) { // FIXME: bad test, should use the toleranse variable set by CLN or something if ( GiNaC::abs(GiNaC::ex_to(d)) < 10e-8) { solution.append(s.op(i)); } } else { if ( d.is_zero() ) { solution.append(s.op(i)); } } } sol = solution; } else { throw std::runtime_error("Could not compute the barycentric coordinates. Check the coordinates."); } return sol; } ex barycenter_tetrahedron(ex p0, ex p1, ex p2, ex p3) { GiNaC::symbol b0("b0"), b1("b1"), b2("b2"), b3("b3"); // 3D ex eq1 = x == b0*p0.op(0) + b1*p1.op(0) + b2*p2.op(0) + b3*p3.op(0); ex eq2 = y == b0*p0.op(1) + b1*p1.op(1) + b2*p2.op(1) + b3*p3.op(1); ex eq3 = z == b0*p0.op(2) + b1*p1.op(2) + b2*p2.op(2) + b3*p3.op(2); ex eq4 = 1 == b0 + b1 + b2 +b3; ex sol = lsolve(lst(eq1, eq2, eq3, eq4), lst(b0, b1, b2, b3)); return sol; } ex barycenter(Simplex& simplex) { if (nsd != simplex.no_vertices()-1) { throw std::runtime_error("Could not compute the barycentric coordinates. Not implemented yet for simplices with no_vertices != nsd +1."); } // put symbols in lst ex b = get_symbolic_vector(simplex.no_vertices(), "b"); lst symbols; for (unsigned int i=0; i(pol.op(2)); for (lst::const_iterator basis_iterator = basis_tmp.begin(); basis_iterator != basis_tmp.end(); ++basis_iterator) { lst tmp_lst; for (unsigned int d=1; d<=no_fields; d++) tmp_lst.append(0); tmp_lst.let_op(i) = (*basis_iterator); ret3.append(tmp_lst); } } return lst(ret1,ret2,ret3); } lst normal(Tetrahedron& tetrahedron, unsigned int i) { // Normal as defined by Maries note Triangle triangle = tetrahedron.triangle(i); lst vertex_i = ex_to(tetrahedron.vertex(i)); lst vertex_0 = ex_to(triangle.vertex(0)); lst vertex_1 = ex_to(triangle.vertex(1)); lst vertex_2 = ex_to(triangle.vertex(2)); lst n1(vertex_1.op(0) - vertex_0.op(0), vertex_1.op(1) - vertex_0.op(1), vertex_1.op(2) - vertex_0.op(2)); lst n2(vertex_2.op(0) - vertex_0.op(0), vertex_2.op(1) - vertex_0.op(1), vertex_2.op(2) - vertex_0.op(2)); /* lst n3(vertex_0.op(0) - vertex_i.op(0), vertex_0.op(1) - vertex_i.op(1), vertex_0.op(2) - vertex_i.op(2)); */ lst n4 = cross(n1,n2); /* ex nn = inner(n3, n4); int sign = 1; if ( is_a(nn)) { if ( nn > 0 ) { sign = 1; } else if ( nn < 0) { sign = -1; } else { sign = 0; } } */ ex norm = sqrt(pow(n4.op(0),2) + pow(n4.op(1),2) + pow(n4.op(2),2)); n4.let_op(0) = n4.op(0)/norm; n4.let_op(1) = n4.op(1)/norm; n4.let_op(2) = n4.op(2)/norm; return n4; } lst normal(Triangle& triangle, unsigned int i) { Line line = triangle.line(i); lst vertex_i = ex_to(triangle.vertex(i)); lst vertex_0 = ex_to(line.vertex(0)); lst vertex_1 = ex_to(line.vertex(1)); /* lst n1 = lst (- (vertex_1.op(1) - vertex_0.op(1)), vertex_1.op(0) - vertex_0.op(0) ); lst n2 = lst (vertex_0.op(0) - vertex_i.op(0), vertex_0.op(1) - vertex_i.op(1)); ex nn = inner(n1, n2); int sign = 1; / * if ( is_a(nn)) { if ( nn > 0 ) { sign = 1; } else if ( nn < 0) { sign = -1; } else { sign = 0; } } ex norm = sqrt(pow(n1.op(0),2) + pow(n1.op(1),2)); n1.let_op(0) = sign*n1.op(0)/norm; n1.let_op(1) = sign*n1.op(1)/norm; */ // normal vector as Marie has defined them lst n1 = lst ( (vertex_1.op(1) - vertex_0.op(1)), -(vertex_1.op(0) - vertex_0.op(0)) ); ex norm = sqrt(pow(n1.op(0),2) + pow(n1.op(1),2)); n1.let_op(0) = n1.op(0)/norm; n1.let_op(1) = n1.op(1)/norm; return n1; } lst tangent(Triangle& triangle, unsigned int i) { /* Line line = triangle.line(i); //FIXME: 5 lines to compute the tangent vector, these should // be put somewhere else. GiNaC::symbol t("t"); ex line_repr = line.repr(t); ex t1 = line_repr.op(0).rhs().coeff(t,1); ex t2 = line_repr.op(1).rhs().coeff(t,1); ex norm = sqrt(pow(t1,2) + pow(t2,2)); lst tangent = lst(t1/norm,t2/norm); return tangent; */ /* ex t1, t2; if ( i == 0 ) { t1 = triangle.vertex(2).op(0) - triangle.vertex(1).op(0); t2 = triangle.vertex(2).op(1) - triangle.vertex(1).op(1); } else if ( i == 1 ) { t1 = triangle.vertex(0).op(0) - triangle.vertex(2).op(0); t2 = triangle.vertex(0).op(1) - triangle.vertex(2).op(1); } else if ( i == 2 ) { t1 = triangle.vertex(1).op(0) - triangle.vertex(0).op(0); t2 = triangle.vertex(1).op(1) - triangle.vertex(0).op(1); } else { throw(std::out_of_range("The side index is out of range!")); } */ Line line = triangle.line(i); ex t1 = line.vertex(1).op(0) - line.vertex(0).op(0); ex t2 = line.vertex(1).op(1) - line.vertex(0).op(1); ex norm = sqrt(pow(t1,2) + pow(t2,2)); lst tangent = lst(t1/norm,t2/norm); return tangent; } } //namespace SyFi syfi-1.0.0.dfsg.orig/syfi/ElementComputations.h0000644000175000017500000000244211672223006021346 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef ELEMENTCOMPUTATIONS_IS_INCLUDED #define ELEMENTCOMPUTATIONS_IS_INCLUDED #include "FE.h" #include "Dof.h" namespace SyFi { void usage(FE& fe); void usage(FE& v_fe, FE& p_fe); void compute_Poisson_element_matrix(FE& fe, Dof& dof, std::map, GiNaC::ex>& A); void compute_Stokes_element_matrix(FE& v_fe, FE& p_fe, Dof& dof, std::map, GiNaC::ex>& A); void compute_mixed_Poisson_element_matrix(FE& v_fe, FE& p_fe, Dof& dof, std::map, GiNaC::ex>& A); } #endif syfi-1.0.0.dfsg.orig/syfi/Dof_Ptv.h0000644000175000017500000000155011672223006016707 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef DOF_PTV_IS_INCLUDED #define DOF_PTV_IS_INCLUDED #include "DofT.h" #include "Ptv.h" typedef DofT Dof_Ptv; #endif syfi-1.0.0.dfsg.orig/syfi/MixedFE.h0000644000175000017500000000421111672223006016624 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef MIXED_FE_IS_INCLUDED #define MIXED_FE_IS_INCLUDED #include "FE.h" #include #include namespace SyFi { // FIXME: what about memory management ??? // // FIXME: one assumption when using this MixedFE is that none of the dofs // in the vector of finite elements have different dofs. This assumption // is valid for all elements I know of. // If this is not appropriate, we could add an int to the dof, in a // similar way that it is done with the vector elements. // The current implementation is more efficient. // Could do a consistency check. class MixedFE : public FE { std::string description; public: std::vector mfe; public: MixedFE(); MixedFE(StandardFE* fe1, StandardFE* fe2); virtual ~MixedFE(); //FIXME: check that the domain are ok. // Set polygonal domain virtual void set_polygon(Polygon& p) { } // Get polygonal domain virtual Polygon& get_polygon() { return (*(mfe[0])).get_polygon(); } virtual void compute_basis_functions() { } StandardFE* get(unsigned int i); void append(StandardFE* fe); // The i'th basis function virtual GiNaC::ex N(unsigned int i); // The i'th degree of freedom virtual GiNaC::ex dof(unsigned int i); // Number of basis functions/degrees of freedom virtual unsigned int nbf() const; virtual std::string str(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/DiscontinuousLagrange.h0000644000175000017500000000314111672223006021653 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef DISCONTINUOUSLAGRANGEFE_IS_INCLUDED #define DISCONTINUOUSLAGRANGEFE_IS_INCLUDED #include "Lagrange.h" #include namespace SyFi { class DiscontinuousLagrange : public Lagrange { GiNaC::ex element; public: DiscontinuousLagrange(); DiscontinuousLagrange(Polygon& p, unsigned int order = 1); virtual ~DiscontinuousLagrange() {} virtual void set_element_number(unsigned int element); virtual void compute_basis_functions(); }; class VectorDiscontinuousLagrange : public VectorLagrange { GiNaC::ex element; public: VectorDiscontinuousLagrange(); VectorDiscontinuousLagrange(Polygon& p, unsigned int order = 1); virtual ~VectorDiscontinuousLagrange() {} virtual void set_element_number(unsigned int element); virtual void set_size(unsigned int size_); virtual void compute_basis_functions(); }; } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/diff_tools.h0000644000175000017500000000217011672223006017475 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef DIFF_TOOLS_IS_INCLUDED #define DIFF_TOOLS_IS_INCLUDED #include namespace SyFi { // the divergence // GiNaC::ex div(GiNaC::exvector& v); GiNaC::ex div(GiNaC::lst& v); GiNaC::ex div(GiNaC::lst& v,GiNaC::ex G); GiNaC::ex div(GiNaC::ex v); GiNaC::ex div(GiNaC::ex v, GiNaC::ex G); // the gradient GiNaC::ex grad(GiNaC::ex f); GiNaC::ex grad(GiNaC::ex f, GiNaC::ex G); } #endif syfi-1.0.0.dfsg.orig/syfi/MixedFE.cpp0000644000175000017500000000465311672223006017171 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "MixedFE.h" using namespace std; namespace SyFi { MixedFE::MixedFE() : FE() { description = "MixedFE"; } MixedFE::MixedFE(StandardFE* fe1, StandardFE* fe2) : FE() { mfe.push_back(fe1); mfe.push_back(fe2); description = "MixedFE_" + fe1->str() + "_" + fe2->str(); } MixedFE::~MixedFE() { mfe.clear(); } StandardFE* MixedFE::get(unsigned int i) { if ( i < 0 || i > mfe.size()) { throw(std::out_of_range("The index is out of range!")); } return mfe[i]; } void MixedFE::append(StandardFE* fe) { mfe.push_back(fe); description = description + "_" + fe->str(); } GiNaC::ex MixedFE::N(unsigned int i) { if ( i < 0 || i > nbf()-1) { throw(std::out_of_range("The index is out of range!")); } bool found = false; unsigned int e = 0; unsigned int tmp_nbf = (*mfe[0]).nbf() ; unsigned int tmp_i = i; while ( e < mfe.size() && !found) { tmp_nbf = (*mfe[0]).nbf() ; if ( tmp_i < tmp_nbf ) { found = true; } else { tmp_i -= (*mfe[e]).nbf(); e++; } } return (*mfe[e]).N(tmp_i); } GiNaC::ex MixedFE::dof(unsigned int i) { if ( i < 0 || i > nbf()-1) { throw(std::out_of_range("The index is out of range!")); } bool found = false; unsigned int e = 0; unsigned int tmp_nbf = (*mfe[0]).nbf() ; unsigned int tmp_i = i; while ( e < mfe.size() && !found) { if ( tmp_i < tmp_nbf) { found = true; } else { tmp_i -= (*mfe[e]).nbf(); e++; } } return (*mfe[e]).dof(tmp_i); } unsigned int MixedFE::nbf() const { int sum = 0; for (unsigned int i=0; i< mfe.size(); i++) { sum += (*mfe[i]).nbf(); } return sum; } std::string MixedFE:: str() { return description; } } syfi-1.0.0.dfsg.orig/syfi/Dof.h0000644000175000017500000000621111672223006016055 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef DOF_IS_INCLUDED #define DOF_IS_INCLUDED #include "FE.h" #include #include #include #include #include namespace SyFi { typedef std::pair pair_ii; typedef std::vector< std::pair > vector_ii; class Dof { protected: // running counter for inserted global indices unsigned int counter; // highest element number inserted unsigned int emax; // highest local index inserted unsigned int imax; // the structures loc2dof, dof2index, and doc2loc are completely dynamic // they are all initialized and updated by insert_dof(int e, int i, ex Li) // (int e, int i) -> int j std::map, unsigned int> loc2glob; // (ex j) -> vector< pair, .. pair > bool create_glob2loc; std::map< unsigned int, vector_ii > glob2loc_map; // (ex Lj) -> int j std::map dof2glob; // (int j) -> ex Lj bool create_glob2dof; std::map< unsigned int, GiNaC::ex > glob2dof; public: Dof(bool create_glob2dof = false, bool create_glob2loc = false): counter(0), emax(0), imax(0), create_glob2loc(create_glob2loc), create_glob2dof(create_glob2dof) { } ~Dof() {} void clear(); // Update the internal structures with a new dof. unsigned int insert_dof(unsigned int e, unsigned int i, GiNaC::ex Li); // --- Helper functions to be used after all the dofs have been inserted. // These do not modify the internal structure. --- // Return the number of global dofs inserted. unsigned int size() const { return counter; } // Return the number of elements inserted. unsigned int num_elements() const { return emax+1; } // Return the number of dofs per elements. unsigned int max_dofs_per_element() const { return imax+1; } // Return the global index for local dof i in element e. unsigned int glob_dof(unsigned int e, unsigned int i); // Return the global index for dof Lj represented with GiNaC::ex. unsigned int glob_dof(GiNaC::ex Lj); // Return the dof GiNaC::ex for global index j. GiNaC::ex glob_dof(unsigned int j); // Return a vector of all the (element,index) pairs this global index is equivalent with. vector_ii glob2loc(unsigned int j); }; } #endif syfi-1.0.0.dfsg.orig/syfi/symbol_factory.h0000644000175000017500000000412511672223006020403 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #ifndef SYMBOL_FACTORY_IS_INCLUDED #define SYMBOL_FACTORY_IS_INCLUDED #include #include namespace SyFi { // TODO: make a class SymbolSpace or something /* class SpaceSymbols { public: SpaceSymbols(int nsd_, const std::string & base_name); int nsd() const; GiNaC::symbol x(int i) const; GiNaC::symbol t() const; }; ex diff(e, i, ss=default_ss, ss2=default_ss2); ex div(e, ss=default_ss, ss2=default_ss2); ex grad(e, ss=default_ss, ss2=default_ss2); */ // Initialize global variables of SyFi void initSyFi(unsigned int nsd); // spacial variables, used by differential operators extern unsigned int nsd; extern GiNaC::symbol x; extern GiNaC::symbol y; extern GiNaC::symbol z; extern GiNaC::symbol t; extern GiNaC::lst p; // utility symbols extern GiNaC::symbol infinity; extern GiNaC::symbol DUMMY; // ===== symbol factory // TODO: is it useful to make a singleton for this? bool symbol_exists(const std::string & name); // TODO: we don't need the const & ? const GiNaC::symbol & get_symbol(const std::string & name); const GiNaC::symbol & isymb(const std::string & a, int b); const GiNaC::symbol & isymb(const std::string & a, int b, int c); GiNaC::ex get_symbolic_vector(int m, const std::string & basename); GiNaC::ex get_symbolic_matrix(int m, int n, const std::string & basename); } // namespace SyFi #endif syfi-1.0.0.dfsg.orig/syfi/DiscontinuousLagrange.cpp0000644000175000017500000000567311672223006022222 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "DiscontinuousLagrange.h" #include "ElementComputations.h" using std::cout; using std::endl; namespace SyFi { DiscontinuousLagrange:: DiscontinuousLagrange(Polygon& p, unsigned int order) : Lagrange(p,order) { compute_basis_functions(); element = GiNaC::symbol("e"); } DiscontinuousLagrange:: DiscontinuousLagrange() : Lagrange() { description = "DiscontinuousLagrange"; element = GiNaC::symbol("e"); } void DiscontinuousLagrange:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 1 ) { throw(std::logic_error("Discontinuous Lagrangian elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } //FIXME should have element defined somehow other than //setting it to zero // //It could be a symbol 'e' instead ? Lagrange:: compute_basis_functions(); for (unsigned int i=0; i< dofs.size(); i++) { dofs[i] = GiNaC::lst(dofs[i], element); } description = "Discontinuous" + Lagrange:: str(); } void DiscontinuousLagrange:: set_element_number(unsigned int element_) { element = element_; } // ------------VectorDiscontinuousLagrange --- VectorDiscontinuousLagrange:: VectorDiscontinuousLagrange(Polygon& p, unsigned int order) : VectorLagrange(p,order) { compute_basis_functions(); element = GiNaC::symbol("e"); } VectorDiscontinuousLagrange:: VectorDiscontinuousLagrange() : VectorLagrange() { description = "DiscontinuousLagrange"; element = GiNaC::symbol("e"); } void VectorDiscontinuousLagrange:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); VectorLagrange:: compute_basis_functions(); for (unsigned int i=0; i< dofs.size(); i++) { dofs[i] = GiNaC::lst(dofs[i].op(0), dofs[i].op(1), element); } description = "Discontinuous" + VectorLagrange:: str(); } void VectorDiscontinuousLagrange:: set_size(unsigned int size_) { VectorLagrange::set_size(size_); } void VectorDiscontinuousLagrange:: set_element_number(unsigned int element_) { element = element_; } } // namespace SyFi syfi-1.0.0.dfsg.orig/syfi/Nedelec2Hdiv.cpp0000644000175000017500000002073411672223006020142 0ustar johannrjohannr// Copyright (C) 2006-2009 Kent-Andre Mardal and Simula Research Laboratory // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . #include "Nedelec2Hdiv.h" #include #include "tools.h" using std::cout; using std::endl; using std::string; using GiNaC::exmap; using namespace GiNaC; namespace SyFi { Nedelec2Hdiv:: Nedelec2Hdiv() : StandardFE() { description = "Nedelec2Hdiv"; } Nedelec2Hdiv:: Nedelec2Hdiv(Polygon& p, unsigned int order) : StandardFE(p, order) { compute_basis_functions(); } void Nedelec2Hdiv:: compute_basis_functions() { // remove previously computed basis functions and dofs Ns.clear(); dofs.clear(); if ( order < 1 ) { throw(std::logic_error("Nedelec2Hdiv elements must be of order 1 or higher.")); } if ( p == NULL ) { throw(std::logic_error("You need to set a polygon before the basisfunctions can be computed")); } if ( p->str().find("Line") != string::npos ) { cout <<"Can not define the Nedelec2Hdiv element on a line"<str().find("Triangle") != string::npos ) { cout <<"Can not define the Nedelec2Hdiv element on a Triangle "<str().find("Tetrahedron") != string::npos ) { description = istr( "Nedelec2Hdiv_", order) + "_3D"; int k = order; Tetrahedron& tetrahedron= (Tetrahedron&)(*p); GiNaC::lst equations; GiNaC::lst variables; // create p GiNaC::ex P_k = bernsteinv(3,k, tetrahedron, "b"); GiNaC::ex P_k_x = P_k.op(0).op(0); GiNaC::ex P_k_y = P_k.op(0).op(1); GiNaC::ex P_k_z = P_k.op(0).op(2); GiNaC::lst pspace = GiNaC::lst( P_k_x, P_k_y, P_k_z); variables = collapse(GiNaC::ex_to(P_k.op(1))); int counter = 0; GiNaC::symbol t("t"); GiNaC::ex dofi; GiNaC::ex bernstein_pol; // dofs related to edges for (int i=0; i< 4; i++) { Triangle triangle = tetrahedron.triangle(i); GiNaC::lst normal_vec = normal(tetrahedron, i); bernstein_pol = bernstein(order, triangle, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_n = inner(pspace, normal_vec); GiNaC::ex basis; for (unsigned int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_n*basis; dofi = triangle.integrate(integrand); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); // GiNaC::lst d = GiNaC::lst(triangle.integrate(x*basis), // triangle.integrate(y*basis), // triangle.integrate(z*basis)); GiNaC::lst d = GiNaC::lst(GiNaC::lst(triangle.vertex(0), triangle.vertex(1), triangle.vertex(2)),j); dofs.insert(dofs.end(), d); GiNaC::ex u = GiNaC::matrix(3,1,GiNaC::lst(GiNaC::symbol("v[0]"), GiNaC::symbol("v[1]"), GiNaC::symbol("v[2]"))); GiNaC::ex n = GiNaC::matrix(3,1,GiNaC::lst(GiNaC::symbol("normal_vec[0]"), GiNaC::symbol("normal_vec[1]"), GiNaC::symbol("normal_vec[2]"))); dof_repr.append(GiNaC::lst(inner(u,n)*basis.subs( x == GiNaC::symbol("xi[0]")) .subs( y == GiNaC::symbol("xi[1]")) .subs( z == GiNaC::symbol("xi[2]")), d)); } } // dofs related to tetrahedron int tetradofs = 0; if ( order > 1 ) { GiNaC::ex bernstein_pol = bernsteinv(3,k-2, tetrahedron, istr("c", 0)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex basis; tetradofs += basis_space.nops(); for (unsigned int j=0; j= 1 ) { GiNaC::ex H_k = homogenous_polv(3,k-1, 3, "a"); GiNaC::ex H_k_x = H_k.op(0).op(0); GiNaC::ex H_k_y = H_k.op(0).op(1); GiNaC::ex H_k_z = H_k.op(0).op(2); GiNaC::lst H_variables = collapse(GiNaC::ex_to(H_k.op(1))); // Equations that make sure that r*x = 0 GiNaC::ex rx = (H_k_x*x + H_k_y*y + H_k_z*z).expand(); exmap pol_map = pol2basisandcoeff(rx); exmap::iterator iter; GiNaC::lst S_k; GiNaC::lst S_k_equations; GiNaC::lst null_eqs; for (unsigned int i=0; i 1 ) { if (coeff.nops() == 2) { S_k_equations.remove_all(); S_k_equations.append(coeff.op(0) == GiNaC::numeric(1)); S_k_equations.append(coeff.op(1) == GiNaC::numeric(-1)); basis = H_k.op(0).subs(S_k_equations).subs(null_eqs);; S_k.append(basis); } else if ( coeff.nops() == 3 ) { // 2 basis functions is added // The first: S_k_equations.remove_all(); S_k_equations.append(coeff.op(0) == GiNaC::numeric(-1,2)); S_k_equations.append(coeff.op(1) == GiNaC::numeric(1)); S_k_equations.append(coeff.op(2) == GiNaC::numeric(-1,2)); basis = H_k.op(0).subs(S_k_equations).subs(null_eqs);; S_k.append(basis); // The second: S_k_equations.remove_all(); S_k_equations.append(coeff.op(0) == GiNaC::numeric(-1,2)); S_k_equations.append(coeff.op(1) == GiNaC::numeric(-1,2)); S_k_equations.append(coeff.op(2) == GiNaC::numeric(1)); basis = H_k.op(0).subs(S_k_equations).subs(null_eqs);; S_k.append(basis); } } } std::cout <<"len (S_k) " <= 1 ) { GiNaC::ex basis; for (unsigned int j=0; j(b)); GiNaC::lst subs; for (unsigned int ii=0; ii. #ifndef DOFT_IS_INCLUDED #define DOFT_IS_INCLUDED #include #include #include #include template class DofT { protected: bool create_index2dof, create_dof2loc; int counter; int emax; int imax; // the structures loc2dof, dof2index, and doc2loc are completely dynamic // they are all initialized and updated by insert_dof(int e, int i, ex Li) // (int e, int i) -> int j std::map< std::pair, int> loc2dof; // (ex Lj) -> int j std::map dof2index; typename std::map:: iterator iter; // (int j) -> ex Lj std::map index2dof; // (ex j) -> vector< pair, .. pair > std::map > > dof2loc; public: DofT( bool create_index2dof_ = false, bool create_dof2loc_ = false ) { counter = -1; emax = -1; imax = -1; create_index2dof = create_index2dof_; create_dof2loc = create_dof2loc_; } ~DofT() {} // to update the internal structures int insert_dof(int e, int i, D Li); // helper functions when the dofs have been set // These do not modify the internal structure int glob_dof(int e, int i); int glob_dof(D Lj); D glob_dof(int j); int size() const; int num_elements() const { return emax+1; } int num_basis_functions() const { return imax+1; } std::vector > glob2loc(int j); void clear(); }; template int DofT :: size() const { return counter+1; } template int DofT:: insert_dof(int e, int i, D Li) { if (e > emax) emax = e; if (i > imax) imax = i; // first we update loc2dof, which always should be updated std::pair index; index.first = e; index.second = i; int return_dof; // check if the dof is new, if so // update counter, dof2index and create // a new vector in dof2loc iter = dof2index.find(Li); //dof is new if ( iter == dof2index.end() ) { counter++; return_dof = counter; dof2index[Li] = counter; loc2dof[index] = counter; if ( create_index2dof) { std::pair p(counter, Li); index2dof.insert(p); // index2dof[counter] = Li; // } if ( create_dof2loc ) { std::vector > v; dof2loc[counter] = v; } } // dof is not new else { loc2dof[index] = (*iter).second; return_dof = (*iter).second; } // insert (e,i) in dof2loc[Li] if (create_dof2loc) { dof2loc[return_dof].push_back(index); } return return_dof; } template int DofT:: glob_dof(int e, int i) { std::pair index; index.first = e; index.second = i; if ( loc2dof.find(index) != loc2dof.end()) { return (*(loc2dof.find(index))).second; } else { return -1; } } template int DofT:: glob_dof(D Lj) { if ( dof2index.find(Lj) != dof2index.end()) { return (*(dof2index.find(Lj))).second; } else { return -1; } } template D DofT:: glob_dof(int j) { if ( create_index2dof) { if ( index2dof.find(j) != index2dof.end() ) { return (*(index2dof.find(j))).second; } else { std::cout <<"not found "< std::vector > DofT:: glob2loc(int j) { if ( create_dof2loc ) { return dof2loc[j]; } else { std::cout <<"This structure has not been created "< >(); } } template void DofT:: clear() { counter = -1; emax = -1; imax = -1; loc2dof.clear(); dof2index.clear(); index2dof.clear(); dof2loc.clear(); } #endif syfi-1.0.0.dfsg.orig/syfi/CMakeLists.txt0000644000175000017500000000446711672223006017747 0ustar johannrjohannr#------------------------------------------------------------------------------ # Install header files file(GLOB SYFI_HEADERS *.h) file(GLOB SYFI_SOURCES *.cpp) install(FILES ${SYFI_HEADERS} DESTINATION ${SYFI_INCLUDE_DIR}/SyFi COMPONENT Development) #------------------------------------------------------------------------------ # Generate and install syfi_version.h configure_file(${CMAKE_CURRENT_SOURCE_DIR}/syfi_version.h.in ${CMAKE_CURRENT_BINARY_DIR}/syfi_version.h @ONLY) install(FILES ${CMAKE_CURRENT_BINARY_DIR}/syfi_version.h DESTINATION ${SYFI_INCLUDE_DIR}/SyFi COMPONENT Development) #------------------------------------------------------------------------------ # Build and install library # Define libraries add_library(syfi ${SYFI_HEADERS} ${SYFI_SOURCES}) # Append the library version information to the library target properties if (SYFI_WITH_LIBRARY_VERSION) string(REPLACE "+" "" SYFI_LIBRARY_VERSION ${SYFILIB_VERSION}) # This setting of SOVERSION assumes that any API change # will increment either the minor or major version number. set(SYFI_LIBRARY_PROPERTIES ${SYFI_LIBRARY_PROPERTIES} VERSION ${SYFI_LIBRARY_VERSION} SOVERSION ${SYFILIB_MAJOR_VERSION}.${SYFILIB_MINOR_VERSION} ) endif() set_target_properties(syfi PROPERTIES ${SYFI_LIBRARY_PROPERTIES}) # Add SyFi target libraries target_link_libraries(syfi ${SYFI_TARGET_LINK_LIBRARIES}) # Install library install(TARGETS syfi RUNTIME DESTINATION ${SYFI_LIB_DIR} COMPONENT RuntimeExecutables LIBRARY DESTINATION ${SYFI_LIB_DIR} COMPONENT RuntimeLibraries ARCHIVE DESTINATION ${SYFI_LIB_DIR} COMPONENT Development ) #------------------------------------------------------------------------------ # SWIG add_subdirectory(swig) #------------------------------------------------------------------------------ # Generate CMake config file (syfi-config.cmake) # Set library location get_target_property(SYFI_LIBRARY_LOCATION syfi LOCATION) get_filename_component(SYFI_LIBRARY_FILENAME ${SYFI_LIBRARY_LOCATION} NAME) set(SYFI_LIBRARY "${CMAKE_INSTALL_PREFIX}/${SYFI_LIB_DIR}/${SYFI_LIBRARY_FILENAME}") configure_file(${SYFI_SOURCE_DIR}/cmake/templates/syfi-config.cmake.in ${CMAKE_BINARY_DIR}/syfi-config.cmake @ONLY) install(FILES ${CMAKE_BINARY_DIR}/syfi-config.cmake DESTINATION ${SYFI_SHARE_DIR}/cmake COMPONENT Development ) syfi-1.0.0.dfsg.orig/README0000644000175000017500000000304011672223006015077 0ustar johannrjohannrSyFi - Symbolic Finite Elements =============================== SyFi is a package for defining finite element methods. In contrast to most other finite element packages, the finite elements, the weak forms etc are defined symbolically instead of numerically. SyFi relies on the symbolic math library GiNaC (www.ginac.de). SFC - The SyFi Form Compiler ============================ The SyFi Form Compiler is a Python module for compiling variational forms written using UFL to C++ code implementing the UFC interface. Installation ============ See the file "INSTALL". License ======= This software is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version. This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this software. If not, see . Copyright ========= SyFi is copyright (c) 2006-2011, Kent-Andre Mardal and Simula Resarch Laboratory. SFC is copyright (c) 2007-2011, Martin Sandve Alnes and Simula Resarch Laboratory. Contact information =================== Homepage: http://www.fenicsproject.org Questions, bug reports, patches etc should be sent directly to syfi@lists.launchpad.net syfi-1.0.0.dfsg.orig/doc/0000755000175000017500000000000011674103626014776 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/sfc_reference/0000755000175000017500000000000011674103625017566 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/sfc_reference/makedoc.sh0000755000175000017500000000052211672223006021521 0ustar johannrjohannr#!/bin/sh -x epydoc \ --html \ --name sfc \ --url http://www.fenics.org/syfi \ --graph all \ ../../site-packages/sfc/*.py \ ../../site-packages/sfc/*/*.py \ #epydoc \ #--pdf \ #--name sfc \ #--url http://www.fenics.org/syfi \ #--graph all \ #../../site-packages/sfc/*.py \ #--target sfc \ #--output html_reference \ #--css white \ syfi-1.0.0.dfsg.orig/doc/reference/0000755000175000017500000000000011674103625016733 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/reference/DoxyfileHTML0000644000175000017500000014275511672223006021136 0ustar johannrjohannr# Doxyfile 1.4.4 # This file describes the settings to be used by the documentation system # doxygen (www.doxygen.org) for a project # # All text after a hash (#) is considered a comment and will be ignored # The format is: # TAG = value [value, ...] # For lists items can also be appended using: # TAG += value [value, ...] # Values that contain spaces should be placed between quotes (" ") #--------------------------------------------------------------------------- # Project related configuration options #--------------------------------------------------------------------------- # The PROJECT_NAME tag is a single word (or a sequence of words surrounded # by quotes) that should identify the project. PROJECT_NAME = SyFi # The PROJECT_NUMBER tag can be used to enter a project or revision number. # This could be handy for archiving the generated documentation or # if some version control system is used. PROJECT_NUMBER = 0.3 # The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) # base path where the generated documentation will be put. # If a relative path is entered, it will be relative to the location # where doxygen was started. If left blank the current directory will be used. OUTPUT_DIRECTORY = # If the CREATE_SUBDIRS tag is set to YES, then doxygen will create # 4096 sub-directories (in 2 levels) under the output directory of each output # format and will distribute the generated files over these directories. # Enabling this option can be useful when feeding doxygen a huge amount of # source files, where putting all generated files in the same directory would # otherwise cause performance problems for the file system. CREATE_SUBDIRS = NO # The OUTPUT_LANGUAGE tag is used to specify the language in which all # documentation generated by doxygen is written. Doxygen will use this # information to generate all constant output in the proper language. # The default language is English, other supported languages are: # Brazilian, Catalan, Chinese, Chinese-Traditional, Croatian, Czech, Danish, # Dutch, Finnish, French, German, Greek, Hungarian, Italian, Japanese, # Japanese-en (Japanese with English messages), Korean, Korean-en, Norwegian, # Polish, Portuguese, Romanian, Russian, Serbian, Slovak, Slovene, Spanish, # Swedish, and Ukrainian. OUTPUT_LANGUAGE = English # This tag can be used to specify the encoding used in the generated output. # The encoding is not always determined by the language that is chosen, # but also whether or not the output is meant for Windows or non-Windows users. # In case there is a difference, setting the USE_WINDOWS_ENCODING tag to YES # forces the Windows encoding (this is the default for the Windows binary), # whereas setting the tag to NO uses a Unix-style encoding (the default for # all platforms other than Windows). USE_WINDOWS_ENCODING = NO # If the BRIEF_MEMBER_DESC tag is set to YES (the default) Doxygen will # include brief member descriptions after the members that are listed in # the file and class documentation (similar to JavaDoc). # Set to NO to disable this. BRIEF_MEMBER_DESC = YES # If the REPEAT_BRIEF tag is set to YES (the default) Doxygen will prepend # the brief description of a member or function before the detailed description. # Note: if both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the # brief descriptions will be completely suppressed. REPEAT_BRIEF = YES # This tag implements a quasi-intelligent brief description abbreviator # that is used to form the text in various listings. Each string # in this list, if found as the leading text of the brief description, will be # stripped from the text and the result after processing the whole list, is # used as the annotated text. Otherwise, the brief description is used as-is. # If left blank, the following values are used ("$name" is automatically # replaced with the name of the entity): "The $name class" "The $name widget" # "The $name file" "is" "provides" "specifies" "contains" # "represents" "a" "an" "the" ABBREVIATE_BRIEF = # If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then # Doxygen will generate a detailed section even if there is only a brief # description. ALWAYS_DETAILED_SEC = NO # If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all # inherited members of a class in the documentation of that class as if those # members were ordinary class members. Constructors, destructors and assignment # operators of the base classes will not be shown. INLINE_INHERITED_MEMB = NO # If the FULL_PATH_NAMES tag is set to YES then Doxygen will prepend the full # path before files name in the file list and in the header files. If set # to NO the shortest path that makes the file name unique will be used. FULL_PATH_NAMES = NO # If the FULL_PATH_NAMES tag is set to YES then the STRIP_FROM_PATH tag # can be used to strip a user-defined part of the path. Stripping is # only done if one of the specified strings matches the left-hand part of # the path. The tag can be used to show relative paths in the file list. # If left blank the directory from which doxygen is run is used as the # path to strip. STRIP_FROM_PATH = # The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of # the path mentioned in the documentation of a class, which tells # the reader which header file to include in order to use a class. # If left blank only the name of the header file containing the class # definition is used. Otherwise one should specify the include paths that # are normally passed to the compiler using the -I flag. STRIP_FROM_INC_PATH = # If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter # (but less readable) file names. This can be useful is your file systems # doesn't support long names like on DOS, Mac, or CD-ROM. SHORT_NAMES = NO # If the JAVADOC_AUTOBRIEF tag is set to YES then Doxygen # will interpret the first line (until the first dot) of a JavaDoc-style # comment as the brief description. If set to NO, the JavaDoc # comments will behave just like the Qt-style comments (thus requiring an # explicit @brief command for a brief description. JAVADOC_AUTOBRIEF = NO # The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make Doxygen # treat a multi-line C++ special comment block (i.e. a block of //! or /// # comments) as a brief description. This used to be the default behaviour. # The new default is to treat a multi-line C++ comment block as a detailed # description. Set this tag to YES if you prefer the old behaviour instead. MULTILINE_CPP_IS_BRIEF = NO # If the DETAILS_AT_TOP tag is set to YES then Doxygen # will output the detailed description near the top, like JavaDoc. # If set to NO, the detailed description appears after the member # documentation. DETAILS_AT_TOP = NO # If the INHERIT_DOCS tag is set to YES (the default) then an undocumented # member inherits the documentation from any documented member that it # re-implements. INHERIT_DOCS = YES # If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC # tag is set to YES, then doxygen will reuse the documentation of the first # member in the group (if any) for the other members of the group. By default # all members of a group must be documented explicitly. DISTRIBUTE_GROUP_DOC = NO # If the SEPARATE_MEMBER_PAGES tag is set to YES, then doxygen will produce # a new page for each member. If set to NO, the documentation of a member will # be part of the file/class/namespace that contains it. SEPARATE_MEMBER_PAGES = NO # The TAB_SIZE tag can be used to set the number of spaces in a tab. # Doxygen uses this value to replace tabs by spaces in code fragments. TAB_SIZE = 8 # This tag can be used to specify a number of aliases that acts # as commands in the documentation. An alias has the form "name=value". # For example adding "sideeffect=\par Side Effects:\n" will allow you to # put the command \sideeffect (or @sideeffect) in the documentation, which # will result in a user-defined paragraph with heading "Side Effects:". # You can put \n's in the value part of an alias to insert newlines. ALIASES = # Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C # sources only. Doxygen will then generate output that is more tailored for C. # For instance, some of the names that are used will be different. The list # of all members will be omitted, etc. OPTIMIZE_OUTPUT_FOR_C = NO # Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java sources # only. Doxygen will then generate output that is more tailored for Java. # For instance, namespaces will be presented as packages, qualified scopes # will look different, etc. OPTIMIZE_OUTPUT_JAVA = NO # Set the SUBGROUPING tag to YES (the default) to allow class member groups of # the same type (for instance a group of public functions) to be put as a # subgroup of that type (e.g. under the Public Functions section). Set it to # NO to prevent subgrouping. Alternatively, this can be done per class using # the \nosubgrouping command. SUBGROUPING = YES #--------------------------------------------------------------------------- # Build related configuration options #--------------------------------------------------------------------------- # If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in # documentation are documented, even if no documentation was available. # Private class members and static file members will be hidden unless # the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES EXTRACT_ALL = YES # If the EXTRACT_PRIVATE tag is set to YES all private members of a class # will be included in the documentation. EXTRACT_PRIVATE = YES # If the EXTRACT_STATIC tag is set to YES all static members of a file # will be included in the documentation. EXTRACT_STATIC = YES # If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) # defined locally in source files will be included in the documentation. # If set to NO only classes defined in header files are included. EXTRACT_LOCAL_CLASSES = YES # This flag is only useful for Objective-C code. When set to YES local # methods, which are defined in the implementation section but not in # the interface are included in the documentation. # If set to NO (the default) only methods in the interface are included. EXTRACT_LOCAL_METHODS = NO # If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all # undocumented members of documented classes, files or namespaces. # If set to NO (the default) these members will be included in the # various overviews, but no documentation section is generated. # This option has no effect if EXTRACT_ALL is enabled. HIDE_UNDOC_MEMBERS = NO # If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all # undocumented classes that are normally visible in the class hierarchy. # If set to NO (the default) these classes will be included in the various # overviews. This option has no effect if EXTRACT_ALL is enabled. HIDE_UNDOC_CLASSES = NO # If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all # friend (class|struct|union) declarations. # If set to NO (the default) these declarations will be included in the # documentation. HIDE_FRIEND_COMPOUNDS = NO # If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any # documentation blocks found inside the body of a function. # If set to NO (the default) these blocks will be appended to the # function's detailed documentation block. HIDE_IN_BODY_DOCS = NO # The INTERNAL_DOCS tag determines if documentation # that is typed after a \internal command is included. If the tag is set # to NO (the default) then the documentation will be excluded. # Set it to YES to include the internal documentation. INTERNAL_DOCS = NO # If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate # file names in lower-case letters. If set to YES upper-case letters are also # allowed. This is useful if you have classes or files whose names only differ # in case and if your file system supports case sensitive file names. Windows # and Mac users are advised to set this option to NO. CASE_SENSE_NAMES = YES # If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen # will show members with their full class and namespace scopes in the # documentation. If set to YES the scope will be hidden. HIDE_SCOPE_NAMES = NO # If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen # will put a list of the files that are included by a file in the documentation # of that file. SHOW_INCLUDE_FILES = YES # If the INLINE_INFO tag is set to YES (the default) then a tag [inline] # is inserted in the documentation for inline members. INLINE_INFO = YES # If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen # will sort the (detailed) documentation of file and class members # alphabetically by member name. If set to NO the members will appear in # declaration order. SORT_MEMBER_DOCS = YES # If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the # brief documentation of file, namespace and class members alphabetically # by member name. If set to NO (the default) the members will appear in # declaration order. SORT_BRIEF_DOCS = NO # If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be # sorted by fully-qualified names, including namespaces. If set to # NO (the default), the class list will be sorted only by class name, # not including the namespace part. # Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES. # Note: This option applies only to the class list, not to the # alphabetical list. SORT_BY_SCOPE_NAME = NO # The GENERATE_TODOLIST tag can be used to enable (YES) or # disable (NO) the todo list. This list is created by putting \todo # commands in the documentation. GENERATE_TODOLIST = YES # The GENERATE_TESTLIST tag can be used to enable (YES) or # disable (NO) the test list. This list is created by putting \test # commands in the documentation. GENERATE_TESTLIST = NO # The GENERATE_BUGLIST tag can be used to enable (YES) or # disable (NO) the bug list. This list is created by putting \bug # commands in the documentation. GENERATE_BUGLIST = NO # The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or # disable (NO) the deprecated list. This list is created by putting # \deprecated commands in the documentation. GENERATE_DEPRECATEDLIST= NO # The ENABLED_SECTIONS tag can be used to enable conditional # documentation sections, marked by \if sectionname ... \endif. ENABLED_SECTIONS = # The MAX_INITIALIZER_LINES tag determines the maximum number of lines # the initial value of a variable or define consists of for it to appear in # the documentation. If the initializer consists of more lines than specified # here it will be hidden. Use a value of 0 to hide initializers completely. # The appearance of the initializer of individual variables and defines in the # documentation can be controlled using \showinitializer or \hideinitializer # command in the documentation regardless of this setting. MAX_INITIALIZER_LINES = 30 # Set the SHOW_USED_FILES tag to NO to disable the list of files generated # at the bottom of the documentation of classes and structs. If set to YES the # list will mention the files that were used to generate the documentation. SHOW_USED_FILES = YES # If the sources in your project are distributed over multiple directories # then setting the SHOW_DIRECTORIES tag to YES will show the directory hierarchy # in the documentation. The default is YES. SHOW_DIRECTORIES = YES # The FILE_VERSION_FILTER tag can be used to specify a program or script that # doxygen should invoke to get the current version for each file (typically from the # version control system). Doxygen will invoke the program by executing (via # popen()) the command , where is the value of # the FILE_VERSION_FILTER tag, and is the name of an input file # provided by doxygen. Whatever the progam writes to standard output # is used as the file version. See the manual for examples. FILE_VERSION_FILTER = #--------------------------------------------------------------------------- # configuration options related to warning and progress messages #--------------------------------------------------------------------------- # The QUIET tag can be used to turn on/off the messages that are generated # by doxygen. Possible values are YES and NO. If left blank NO is used. QUIET = NO # The WARNINGS tag can be used to turn on/off the warning messages that are # generated by doxygen. Possible values are YES and NO. If left blank # NO is used. WARNINGS = NO # If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings # for undocumented members. If EXTRACT_ALL is set to YES then this flag will # automatically be disabled. WARN_IF_UNDOCUMENTED = YES # If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for # potential errors in the documentation, such as not documenting some # parameters in a documented function, or documenting parameters that # don't exist or using markup commands wrongly. WARN_IF_DOC_ERROR = YES # This WARN_NO_PARAMDOC option can be abled to get warnings for # functions that are documented, but have no documentation for their parameters # or return value. If set to NO (the default) doxygen will only warn about # wrong or incomplete parameter documentation, but not about the absence of # documentation. WARN_NO_PARAMDOC = YES # The WARN_FORMAT tag determines the format of the warning messages that # doxygen can produce. The string should contain the $file, $line, and $text # tags, which will be replaced by the file and line number from which the # warning originated and the warning text. Optionally the format may contain # $version, which will be replaced by the version of the file (if it could # be obtained via FILE_VERSION_FILTER) WARN_FORMAT = "$file:$line: $text" # The WARN_LOGFILE tag can be used to specify a file to which warning # and error messages should be written. If left blank the output is written # to stderr. WARN_LOGFILE = #--------------------------------------------------------------------------- # configuration options related to the input files #--------------------------------------------------------------------------- # The INPUT tag can be used to specify the files and/or directories that contain # documented source files. You may enter file names like "myfile.cpp" or # directories like "/usr/src/myproject". Separate the files or directories # with spaces. INPUT = ../../syfi ../../tests # If the value of the INPUT tag contains directories, you can use the # FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp # and *.h) to filter out the source-files in the directories. If left # blank the following patterns are tested: # *.c *.cc *.cxx *.cpp *.c++ *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh *.hxx # *.hpp *.h++ *.idl *.odl *.cs *.php *.php3 *.inc *.m *.mm FILE_PATTERNS = # The RECURSIVE tag can be used to turn specify whether or not subdirectories # should be searched for input files as well. Possible values are YES and NO. # If left blank NO is used. RECURSIVE = YES # The EXCLUDE tag can be used to specify files and/or directories that should # excluded from the INPUT source files. This way you can easily exclude a # subdirectory from a directory tree whose root is specified with the INPUT tag. EXCLUDE = # The EXCLUDE_SYMLINKS tag can be used select whether or not files or # directories that are symbolic links (a Unix filesystem feature) are excluded # from the input. EXCLUDE_SYMLINKS = NO # If the value of the INPUT tag contains directories, you can use the # EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude # certain files from those directories. Note that the wildcards are matched # against the file with absolute path, so to exclude all test directories # for example use the pattern */test/* EXCLUDE_PATTERNS = # The EXAMPLE_PATH tag can be used to specify one or more files or # directories that contain example code fragments that are included (see # the \include command). EXAMPLE_PATH = # If the value of the EXAMPLE_PATH tag contains directories, you can use the # EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp # and *.h) to filter out the source-files in the directories. If left # blank all files are included. EXAMPLE_PATTERNS = # If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be # searched for input files to be used with the \include or \dontinclude # commands irrespective of the value of the RECURSIVE tag. # Possible values are YES and NO. If left blank NO is used. EXAMPLE_RECURSIVE = NO # The IMAGE_PATH tag can be used to specify one or more files or # directories that contain image that are included in the documentation (see # the \image command). IMAGE_PATH = # The INPUT_FILTER tag can be used to specify a program that doxygen should # invoke to filter for each input file. Doxygen will invoke the filter program # by executing (via popen()) the command , where # is the value of the INPUT_FILTER tag, and is the name of an # input file. Doxygen will then use the output that the filter program writes # to standard output. If FILTER_PATTERNS is specified, this tag will be # ignored. INPUT_FILTER = # The FILTER_PATTERNS tag can be used to specify filters on a per file pattern # basis. Doxygen will compare the file name with each pattern and apply the # filter if there is a match. The filters are a list of the form: # pattern=filter (like *.cpp=my_cpp_filter). See INPUT_FILTER for further # info on how filters are used. If FILTER_PATTERNS is empty, INPUT_FILTER # is applied to all files. FILTER_PATTERNS = # If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using # INPUT_FILTER) will be used to filter the input files when producing source # files to browse (i.e. when SOURCE_BROWSER is set to YES). FILTER_SOURCE_FILES = NO #--------------------------------------------------------------------------- # configuration options related to source browsing #--------------------------------------------------------------------------- # If the SOURCE_BROWSER tag is set to YES then a list of source files will # be generated. Documented entities will be cross-referenced with these sources. # Note: To get rid of all source code in the generated output, make sure also # VERBATIM_HEADERS is set to NO. SOURCE_BROWSER = YES # Setting the INLINE_SOURCES tag to YES will include the body # of functions and classes directly in the documentation. INLINE_SOURCES = YES # Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct # doxygen to hide any special comment blocks from generated source code # fragments. Normal C and C++ comments will always remain visible. STRIP_CODE_COMMENTS = YES # If the REFERENCED_BY_RELATION tag is set to YES (the default) # then for each documented function all documented # functions referencing it will be listed. REFERENCED_BY_RELATION = YES # If the REFERENCES_RELATION tag is set to YES (the default) # then for each documented function all documented entities # called/used by that function will be listed. REFERENCES_RELATION = YES # If the USE_HTAGS tag is set to YES then the references to source code # will point to the HTML generated by the htags(1) tool instead of doxygen # built-in source browser. The htags tool is part of GNU's global source # tagging system (see http://www.gnu.org/software/global/global.html). You # will need version 4.8.6 or higher. USE_HTAGS = NO # If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen # will generate a verbatim copy of the header file for each class for # which an include is specified. Set to NO to disable this. VERBATIM_HEADERS = YES #--------------------------------------------------------------------------- # configuration options related to the alphabetical class index #--------------------------------------------------------------------------- # If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index # of all compounds will be generated. Enable this if the project # contains a lot of classes, structs, unions or interfaces. ALPHABETICAL_INDEX = NO # If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then # the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns # in which this list will be split (can be a number in the range [1..20]) COLS_IN_ALPHA_INDEX = 5 # In case all classes in a project start with a common prefix, all # classes will be put under the same header in the alphabetical index. # The IGNORE_PREFIX tag can be used to specify one or more prefixes that # should be ignored while generating the index headers. IGNORE_PREFIX = #--------------------------------------------------------------------------- # configuration options related to the HTML output #--------------------------------------------------------------------------- # If the GENERATE_HTML tag is set to YES (the default) Doxygen will # generate HTML output. GENERATE_HTML = YES # The HTML_OUTPUT tag is used to specify where the HTML docs will be put. # If a relative path is entered the value of OUTPUT_DIRECTORY will be # put in front of it. If left blank `html' will be used as the default path. HTML_OUTPUT = html # The HTML_FILE_EXTENSION tag can be used to specify the file extension for # each generated HTML page (for example: .htm,.php,.asp). If it is left blank # doxygen will generate files with .html extension. HTML_FILE_EXTENSION = .html # The HTML_HEADER tag can be used to specify a personal HTML header for # each generated HTML page. If it is left blank doxygen will generate a # standard header. HTML_HEADER = # The HTML_FOOTER tag can be used to specify a personal HTML footer for # each generated HTML page. If it is left blank doxygen will generate a # standard footer. HTML_FOOTER = # The HTML_STYLESHEET tag can be used to specify a user-defined cascading # style sheet that is used by each HTML page. It can be used to # fine-tune the look of the HTML output. If the tag is left blank doxygen # will generate a default style sheet. Note that doxygen will try to copy # the style sheet file to the HTML output directory, so don't put your own # stylesheet in the HTML output directory as well, or it will be erased! HTML_STYLESHEET = # If the HTML_ALIGN_MEMBERS tag is set to YES, the members of classes, # files or namespaces will be aligned in HTML using tables. If set to # NO a bullet list will be used. HTML_ALIGN_MEMBERS = YES # If the GENERATE_HTMLHELP tag is set to YES, additional index files # will be generated that can be used as input for tools like the # Microsoft HTML help workshop to generate a compressed HTML help file (.chm) # of the generated HTML documentation. GENERATE_HTMLHELP = NO # If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can # be used to specify the file name of the resulting .chm file. You # can add a path in front of the file if the result should not be # written to the html output directory. CHM_FILE = # If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can # be used to specify the location (absolute path including file name) of # the HTML help compiler (hhc.exe). If non-empty doxygen will try to run # the HTML help compiler on the generated index.hhp. HHC_LOCATION = # If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag # controls if a separate .chi index file is generated (YES) or that # it should be included in the master .chm file (NO). GENERATE_CHI = NO # If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag # controls whether a binary table of contents is generated (YES) or a # normal table of contents (NO) in the .chm file. BINARY_TOC = NO # The TOC_EXPAND flag can be set to YES to add extra items for group members # to the contents of the HTML help documentation and to the tree view. TOC_EXPAND = YES # The DISABLE_INDEX tag can be used to turn on/off the condensed index at # top of each HTML page. The value NO (the default) enables the index and # the value YES disables it. DISABLE_INDEX = NO # This tag can be used to set the number of enum values (range [1..20]) # that doxygen will group on one line in the generated HTML documentation. ENUM_VALUES_PER_LINE = 4 # If the GENERATE_TREEVIEW tag is set to YES, a side panel will be # generated containing a tree-like index structure (just like the one that # is generated for HTML Help). For this to work a browser that supports # JavaScript, DHTML, CSS and frames is required (for instance Mozilla 1.0+, # Netscape 6.0+, Internet explorer 5.0+, or Konqueror). Windows users are # probably better off using the HTML help feature. GENERATE_TREEVIEW = YES # If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be # used to set the initial width (in pixels) of the frame in which the tree # is shown. TREEVIEW_WIDTH = 250 #--------------------------------------------------------------------------- # configuration options related to the LaTeX output #--------------------------------------------------------------------------- # If the GENERATE_LATEX tag is set to YES (the default) Doxygen will # generate Latex output. GENERATE_LATEX = NO # The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. # If a relative path is entered the value of OUTPUT_DIRECTORY will be # put in front of it. If left blank `latex' will be used as the default path. LATEX_OUTPUT = latex # The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be # invoked. If left blank `latex' will be used as the default command name. LATEX_CMD_NAME = latex # The MAKEINDEX_CMD_NAME tag can be used to specify the command name to # generate index for LaTeX. If left blank `makeindex' will be used as the # default command name. MAKEINDEX_CMD_NAME = makeindex # If the COMPACT_LATEX tag is set to YES Doxygen generates more compact # LaTeX documents. This may be useful for small projects and may help to # save some trees in general. COMPACT_LATEX = NO # The PAPER_TYPE tag can be used to set the paper type that is used # by the printer. Possible values are: a4, a4wide, letter, legal and # executive. If left blank a4wide will be used. PAPER_TYPE = a4wide # The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX # packages that should be included in the LaTeX output. EXTRA_PACKAGES = # The LATEX_HEADER tag can be used to specify a personal LaTeX header for # the generated latex document. The header should contain everything until # the first chapter. If it is left blank doxygen will generate a # standard header. Notice: only use this tag if you know what you are doing! LATEX_HEADER = # If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated # is prepared for conversion to pdf (using ps2pdf). The pdf file will # contain links (just like the HTML output) instead of page references # This makes the output suitable for online browsing using a pdf viewer. PDF_HYPERLINKS = NO # If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of # plain latex in the generated Makefile. Set this option to YES to get a # higher quality PDF documentation. USE_PDFLATEX = NO # If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode. # command to the generated LaTeX files. This will instruct LaTeX to keep # running if errors occur, instead of asking the user for help. # This option is also used when generating formulas in HTML. LATEX_BATCHMODE = NO # If LATEX_HIDE_INDICES is set to YES then doxygen will not # include the index chapters (such as File Index, Compound Index, etc.) # in the output. LATEX_HIDE_INDICES = NO #--------------------------------------------------------------------------- # configuration options related to the RTF output #--------------------------------------------------------------------------- # If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output # The RTF output is optimized for Word 97 and may not look very pretty with # other RTF readers or editors. GENERATE_RTF = NO # The RTF_OUTPUT tag is used to specify where the RTF docs will be put. # If a relative path is entered the value of OUTPUT_DIRECTORY will be # put in front of it. If left blank `rtf' will be used as the default path. RTF_OUTPUT = rtf # If the COMPACT_RTF tag is set to YES Doxygen generates more compact # RTF documents. This may be useful for small projects and may help to # save some trees in general. COMPACT_RTF = NO # If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated # will contain hyperlink fields. The RTF file will # contain links (just like the HTML output) instead of page references. # This makes the output suitable for online browsing using WORD or other # programs which support those fields. # Note: wordpad (write) and others do not support links. RTF_HYPERLINKS = NO # Load stylesheet definitions from file. Syntax is similar to doxygen's # config file, i.e. a series of assignments. You only have to provide # replacements, missing definitions are set to their default value. RTF_STYLESHEET_FILE = # Set optional variables used in the generation of an rtf document. # Syntax is similar to doxygen's config file. RTF_EXTENSIONS_FILE = #--------------------------------------------------------------------------- # configuration options related to the man page output #--------------------------------------------------------------------------- # If the GENERATE_MAN tag is set to YES (the default) Doxygen will # generate man pages GENERATE_MAN = NO # The MAN_OUTPUT tag is used to specify where the man pages will be put. # If a relative path is entered the value of OUTPUT_DIRECTORY will be # put in front of it. If left blank `man' will be used as the default path. MAN_OUTPUT = man # The MAN_EXTENSION tag determines the extension that is added to # the generated man pages (default is the subroutine's section .3) MAN_EXTENSION = .3 # If the MAN_LINKS tag is set to YES and Doxygen generates man output, # then it will generate one additional man file for each entity # documented in the real man page(s). These additional files # only source the real man page, but without them the man command # would be unable to find the correct page. The default is NO. MAN_LINKS = NO #--------------------------------------------------------------------------- # configuration options related to the XML output #--------------------------------------------------------------------------- # If the GENERATE_XML tag is set to YES Doxygen will # generate an XML file that captures the structure of # the code including all documentation. GENERATE_XML = NO # The XML_OUTPUT tag is used to specify where the XML pages will be put. # If a relative path is entered the value of OUTPUT_DIRECTORY will be # put in front of it. If left blank `xml' will be used as the default path. XML_OUTPUT = xml # The XML_SCHEMA tag can be used to specify an XML schema, # which can be used by a validating XML parser to check the # syntax of the XML files. XML_SCHEMA = # The XML_DTD tag can be used to specify an XML DTD, # which can be used by a validating XML parser to check the # syntax of the XML files. XML_DTD = # If the XML_PROGRAMLISTING tag is set to YES Doxygen will # dump the program listings (including syntax highlighting # and cross-referencing information) to the XML output. Note that # enabling this will significantly increase the size of the XML output. XML_PROGRAMLISTING = YES #--------------------------------------------------------------------------- # configuration options for the AutoGen Definitions output #--------------------------------------------------------------------------- # If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will # generate an AutoGen Definitions (see autogen.sf.net) file # that captures the structure of the code including all # documentation. Note that this feature is still experimental # and incomplete at the moment. GENERATE_AUTOGEN_DEF = NO #--------------------------------------------------------------------------- # configuration options related to the Perl module output #--------------------------------------------------------------------------- # If the GENERATE_PERLMOD tag is set to YES Doxygen will # generate a Perl module file that captures the structure of # the code including all documentation. Note that this # feature is still experimental and incomplete at the # moment. GENERATE_PERLMOD = NO # If the PERLMOD_LATEX tag is set to YES Doxygen will generate # the necessary Makefile rules, Perl scripts and LaTeX code to be able # to generate PDF and DVI output from the Perl module output. PERLMOD_LATEX = NO # If the PERLMOD_PRETTY tag is set to YES the Perl module output will be # nicely formatted so it can be parsed by a human reader. This is useful # if you want to understand what is going on. On the other hand, if this # tag is set to NO the size of the Perl module output will be much smaller # and Perl will parse it just the same. PERLMOD_PRETTY = YES # The names of the make variables in the generated doxyrules.make file # are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. # This is useful so different doxyrules.make files included by the same # Makefile don't overwrite each other's variables. PERLMOD_MAKEVAR_PREFIX = #--------------------------------------------------------------------------- # Configuration options related to the preprocessor #--------------------------------------------------------------------------- # If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will # evaluate all C-preprocessor directives found in the sources and include # files. ENABLE_PREPROCESSING = YES # If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro # names in the source code. If set to NO (the default) only conditional # compilation will be performed. Macro expansion can be done in a controlled # way by setting EXPAND_ONLY_PREDEF to YES. MACRO_EXPANSION = NO # If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES # then the macro expansion is limited to the macros specified with the # PREDEFINED and EXPAND_AS_PREDEFINED tags. EXPAND_ONLY_PREDEF = NO # If the SEARCH_INCLUDES tag is set to YES (the default) the includes files # in the INCLUDE_PATH (see below) will be search if a #include is found. SEARCH_INCLUDES = YES # The INCLUDE_PATH tag can be used to specify one or more directories that # contain include files that are not input files but should be processed by # the preprocessor. INCLUDE_PATH = # You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard # patterns (like *.h and *.hpp) to filter out the header-files in the # directories. If left blank, the patterns specified with FILE_PATTERNS will # be used. INCLUDE_FILE_PATTERNS = # The PREDEFINED tag can be used to specify one or more macro names that # are defined before the preprocessor is started (similar to the -D option of # gcc). The argument of the tag is a list of macros of the form: name # or name=definition (no spaces). If the definition and the = are # omitted =1 is assumed. To prevent a macro definition from being # undefined via #undef or recursively expanded use the := operator # instead of the = operator. PREDEFINED = # If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then # this tag can be used to specify a list of macro names that should be expanded. # The macro definition that is found in the sources will be used. # Use the PREDEFINED tag if you want to use a different macro definition. EXPAND_AS_DEFINED = # If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then # doxygen's preprocessor will remove all function-like macros that are alone # on a line, have an all uppercase name, and do not end with a semicolon. Such # function macros are typically used for boiler-plate code, and will confuse # the parser if not removed. SKIP_FUNCTION_MACROS = YES #--------------------------------------------------------------------------- # Configuration::additions related to external references #--------------------------------------------------------------------------- # The TAGFILES option can be used to specify one or more tagfiles. # Optionally an initial location of the external documentation # can be added for each tagfile. The format of a tag file without # this location is as follows: # TAGFILES = file1 file2 ... # Adding location for the tag files is done as follows: # TAGFILES = file1=loc1 "file2 = loc2" ... # where "loc1" and "loc2" can be relative or absolute paths or # URLs. If a location is present for each tag, the installdox tool # does not have to be run to correct the links. # Note that each tag file must have a unique name # (where the name does NOT include the path) # If a tag file is not located in the directory in which doxygen # is run, you must also specify the path to the tagfile here. TAGFILES = # When a file name is specified after GENERATE_TAGFILE, doxygen will create # a tag file that is based on the input files it reads. GENERATE_TAGFILE = # If the ALLEXTERNALS tag is set to YES all external classes will be listed # in the class index. If set to NO only the inherited external classes # will be listed. ALLEXTERNALS = NO # If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed # in the modules index. If set to NO, only the current project's groups will # be listed. EXTERNAL_GROUPS = YES # The PERL_PATH should be the absolute path and name of the perl script # interpreter (i.e. the result of `which perl'). PERL_PATH = /usr/bin/perl #--------------------------------------------------------------------------- # Configuration options related to the dot tool #--------------------------------------------------------------------------- # If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will # generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base # or super classes. Setting the tag to NO turns the diagrams off. Note that # this option is superseded by the HAVE_DOT option below. This is only a # fallback. It is recommended to install and use dot, since it yields more # powerful graphs. CLASS_DIAGRAMS = YES # If set to YES, the inheritance and collaboration graphs will hide # inheritance and usage relations if the target is undocumented # or is not a class. HIDE_UNDOC_RELATIONS = YES # If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is # available from the path. This tool is part of Graphviz, a graph visualization # toolkit from AT&T and Lucent Bell Labs. The other options in this section # have no effect if this option is set to NO (the default) HAVE_DOT = NO # If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen # will generate a graph for each documented class showing the direct and # indirect inheritance relations. Setting this tag to YES will force the # the CLASS_DIAGRAMS tag to NO. CLASS_GRAPH = YES # If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen # will generate a graph for each documented class showing the direct and # indirect implementation dependencies (inheritance, containment, and # class references variables) of the class with other documented classes. COLLABORATION_GRAPH = YES # If the GROUP_GRAPHS and HAVE_DOT tags are set to YES then doxygen # will generate a graph for groups, showing the direct groups dependencies GROUP_GRAPHS = YES # If the UML_LOOK tag is set to YES doxygen will generate inheritance and # collaboration diagrams in a style similar to the OMG's Unified Modeling # Language. UML_LOOK = NO # If set to YES, the inheritance and collaboration graphs will show the # relations between templates and their instances. TEMPLATE_RELATIONS = NO # If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT # tags are set to YES then doxygen will generate a graph for each documented # file showing the direct and indirect include dependencies of the file with # other documented files. INCLUDE_GRAPH = YES # If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and # HAVE_DOT tags are set to YES then doxygen will generate a graph for each # documented header file showing the documented files that directly or # indirectly include this file. INCLUDED_BY_GRAPH = YES # If the CALL_GRAPH and HAVE_DOT tags are set to YES then doxygen will # generate a call dependency graph for every global function or class method. # Note that enabling this option will significantly increase the time of a run. # So in most cases it will be better to enable call graphs for selected # functions only using the \callgraph command. CALL_GRAPH = NO # If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen # will graphical hierarchy of all classes instead of a textual one. GRAPHICAL_HIERARCHY = YES # If the DIRECTORY_GRAPH, SHOW_DIRECTORIES and HAVE_DOT tags are set to YES # then doxygen will show the dependencies a directory has on other directories # in a graphical way. The dependency relations are determined by the #include # relations between the files in the directories. DIRECTORY_GRAPH = YES # The DOT_IMAGE_FORMAT tag can be used to set the image format of the images # generated by dot. Possible values are png, jpg, or gif # If left blank png will be used. DOT_IMAGE_FORMAT = png # The tag DOT_PATH can be used to specify the path where the dot tool can be # found. If left blank, it is assumed the dot tool can be found in the path. DOT_PATH = # The DOTFILE_DIRS tag can be used to specify one or more directories that # contain dot files that are included in the documentation (see the # \dotfile command). DOTFILE_DIRS = # The MAX_DOT_GRAPH_WIDTH tag can be used to set the maximum allowed width # (in pixels) of the graphs generated by dot. If a graph becomes larger than # this value, doxygen will try to truncate the graph, so that it fits within # the specified constraint. Beware that most browsers cannot cope with very # large images. MAX_DOT_GRAPH_WIDTH = 1024 # The MAX_DOT_GRAPH_HEIGHT tag can be used to set the maximum allows height # (in pixels) of the graphs generated by dot. If a graph becomes larger than # this value, doxygen will try to truncate the graph, so that it fits within # the specified constraint. Beware that most browsers cannot cope with very # large images. MAX_DOT_GRAPH_HEIGHT = 1024 # The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the # graphs generated by dot. A depth value of 3 means that only nodes reachable # from the root by following a path via at most 3 edges will be shown. Nodes # that lay further from the root node will be omitted. Note that setting this # option to 1 or 2 may greatly reduce the computation time needed for large # code bases. Also note that a graph may be further truncated if the graph's # image dimensions are not sufficient to fit the graph (see MAX_DOT_GRAPH_WIDTH # and MAX_DOT_GRAPH_HEIGHT). If 0 is used for the depth value (the default), # the graph is not depth-constrained. MAX_DOT_GRAPH_DEPTH = 0 # Set the DOT_TRANSPARENT tag to YES to generate images with a transparent # background. This is disabled by default, which results in a white background. # Warning: Depending on the platform used, enabling this option may lead to # badly anti-aliased labels on the edges of a graph (i.e. they become hard to # read). DOT_TRANSPARENT = NO # Set the DOT_MULTI_TARGETS tag to YES allow dot to generate multiple output # files in one run (i.e. multiple -o and -T options on the command line). This # makes dot run faster, but since only newer versions of dot (>1.8.10) # support this, this feature is disabled by default. DOT_MULTI_TARGETS = NO # If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will # generate a legend page explaining the meaning of the various boxes and # arrows in the dot generated graphs. GENERATE_LEGEND = YES # If the DOT_CLEANUP tag is set to YES (the default) Doxygen will # remove the intermediate dot files that are used to generate # the various graphs. DOT_CLEANUP = YES #--------------------------------------------------------------------------- # Configuration::additions related to the search engine #--------------------------------------------------------------------------- # The SEARCHENGINE tag specifies whether or not a search engine should be # used. If set to NO the values of all tags below this one will be ignored. 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D. Marini", title = "Two families of mixed finite elements for second order elliptic problems", journal = j-NUM-MATH, volume = "47", number = "2", pages = "217--235", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N30", MRnumber = "87g:65133", MRreviewer = "Bruce A. Finlayson", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ. and Istituto di Anal. 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Scott }, title = { The mathematical theory of finite element methods }, publisher = { Springer Verlag }, year = { 1994 } } } syfi-1.0.0.dfsg.orig/doc/manual/code/0000755000175000017500000000000011674103625017164 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/manual/code/linear_elasticity.py0000644000175000017500000000547411672223006023246 0ustar johannrjohannr from sfc import * def define_linear_elasticity(itg): I = Id(itg.nsd) GinvT = itg.GinvT() # get coefficients lambd, mu = itg.coefficients() # for all trial functions u for j, u in enumerate(itg.v_basis(1)): Du = grad(u, GinvT) DuT = Du.transpose() E = (Du + DuT) / 2 sigma = lambd * Du * I + 2*mu*E # for all test functions v for i, v in enumerate(itg.v_basis(0)): Dv = grad(v, GinvT) integrand = inner(sigma, Dv) itg.set_A((i, j), integrand) def define_linear_elasticity_traction(itg): I = Id(itg.nsd) GinvT = itg.GinvT() # get coefficients lambd, mu, t = itg.coefficients() # for all test functions v for i, v in enumerate(itg.v_basis(0)): integrand = inner(t, v) itg.set_A(i, integrand) def define_linear_elasticity_pressure(itg): I = Id(itg.nsd) GinvT = itg.GinvT() n = itg.n() # get coefficients lambd, mu, p = itg.coefficients() # for all test functions v for i, v in enumerate(itg.v_basis(0)): integrand = inner(p*n, v) itg.set_A(i, integrand) polygon = "tetrahedron" vfe1 = VectorElement("CG", polygon, 1) v = TestFunction(vfe1) u = TrialFunction(vfe1) lambd = Constant(polygon, "lambd") mu = Constant(polygon, "mu") p = Constant(polygon, "p") t = Function(vfe1, "t") # the momentum form object a = Form(name = "elasticity", basisfunctions = [v, u], coefficients = [lambd, mu]) itg = a.add_cell_integral() define_linear_elasticity(itg) # the traction form object b = Form(name = "elasticity_traction", basisfunctions = [v], coefficients = [lambd, mu, t]) itg = b.add_exterior_facet_integral() define_linear_elasticity_traction(itg) # the pressure form object c = Form(name = "elasticity_pressure", basisfunctions = [v], coefficients = [lambd, mu, p]) itg = c.add_exterior_facet_integral() define_linear_elasticity_pressure(itg) # generate code and compile extension module a_compiled = compile_form(a) b_compiled = compile_form(b) c_compiled = compile_form(c) # assemble, solve and plot with PyDOLFIN from dolfin import * n = 10 mesh = UnitCube(n, n, n) lambd = Function(mesh, 0.3) mu = Function(mesh, 0.3) class Pressure(cpp_Function): def __init__(self, mesh): cpp_Function.__init__(self, mesh) def eval(self, v, x): v[0] = 10000.0*x[0] def rank(self): return 0 p = Pressure(mesh) #t = Function(mesh, (1.0, 1.0, 1.0)) A, dms = assemble(a_compiled, mesh, coefficients=[lambd, mu], return_dofmaps = True) b = assemble(c_compiled, mesh, coefficients=[lambd, mu, p]) #b = assemble(b_compiled, mesh, coefficients=[lambd, mu, t]) uvec = Vector() u = cpp_Function(mesh, uvec, dms.sub(1), a_compiled, 1) solve(A, u.vector(), b) plot(u) syfi-1.0.0.dfsg.orig/doc/manual/code/quickstart.py0000644000175000017500000000215411672223006021724 0ustar johannrjohannrfrom sfc import * # Define elements polygon = "tetrahedron" P2 = FiniteElement("CG", polygon, 2) T0 = TensorElement("DG", polygon, 0) # Define form arguments u = TrialFunction(P2) v = TestFunction(P2) M = Function(T0) # Define integrand for a weighted stiffness matrix def stiffness(v, u, M, itg): GinvT = itg.GinvT() Du = grad(u, GinvT) Dv = grad(v, GinvT) return inner(M*Du, Dv) # Collect the pieces as a form a = CallbackForm(basisfunctions = [v, u], coefficients = [M], cell_integrands = [stiffness]) # Generate UFC code, compile and import a_form = compile_form(a) # Assemble the global system using PyDOLFIN from dolfin import * n = 10 mesh = UnitCube(n, n, n) class Conductivity(cpp_Function): def __init__(self, mesh): cpp_Function.__init__(self, mesh) def rank(self): return 2 def dim(self, i): return 3 def eval(self, v, x): v[0], v[1], v[2] = 1.0, 0.0, 0.0 v[3], v[4], v[5] = 0.0, 2.0, 0.0 v[6], v[7], v[8] = 0.0, 0.0, 3.0 M = Conductivity(mesh) A = assemble(a_form, mesh, coefficients = [M]) syfi-1.0.0.dfsg.orig/doc/manual/code/defining_form.py0000644000175000017500000000064111672223006022337 0ustar johannrjohannrfrom sfc import * ... # define a form with two basisfunctions and one coefficient a = FormRep(name = "my_form", basisfunctions = [v, u], coefficients = [c], options = {}) # add one cell integral to the form citg = a.add_cell_integral() # add two boundary integrals to the form bitg0 = a.add_exterior_facet_integral() bitg1 = a.add_exterior_facet_integral() syfi-1.0.0.dfsg.orig/doc/manual/syfi-user-manual.tex0000644000175000017500000000377211672223006022200 0ustar johannrjohannr\documentclass{fenicsmanual} %\documentclass{article} \usepackage{moreverb,relsize,ttname} \usepackage{epsfig} \usepackage{epic} \usepackage{eepic} \usepackage{bm} \usepackage{amssymb} \usepackage{amsmath} \RequirePackage{url} \newcommand{\emp}[1]{{\smaller\texttt{#1}}} %%\newcommand{\eqref}[1]{(\ref{#1})} \newtheorem{example}{Example}[section] \newtheorem{definition}{Definition}[section] %\usepackage{hyperref} \renewcommand{\P}{{\mathbb P}} \renewcommand{\S}{{\mathbb S}} \renewcommand{\H}{{\mathbb H}} \renewcommand{\R}{{\mathbb R}} \newcommand{\xx}{\mathbf{x}} \newcommand{\ff}{\mathbf{f}} \newcommand{\kk}{\mathbf{k}} \renewcommand{\gg}{\mathbf{g}} \newcommand{\vv}{\mathbf{v}} \newcommand{\VV}{\mathbf{V}} \newcommand{\HH}{\mathbf{H}} \newcommand{\GG}{\mathbf{G}} \newcommand{\uu}{\mathbf{u}} \newcommand{\nn}{\mathbf{n}} \renewcommand{\tt}{\mathbf{t}} \newcommand{\hh}{\mathbf{h}} \newcommand{\FF}{\mathbf{F}} \newcommand{\NN}{\mathbf{N}} \newcommand{\LL}{\mathbf{L}} \newcommand{\pp}{\mathbf{p}} \newcommand{\qq}{\mathbf{q}} \newcommand{\rr}{\mathbf{r}} \newcommand{\nnull}{\mathbf{0}} \newcommand{\grad}{\operatorname{\bf grad}} \newcommand{\curl}{\operatorname{\bf curl}} \renewcommand{\div}{\operatorname{div}} \newcommand{\rot}{\operatorname{rot}} \newcommand{\Hdiv}{\HH(\div)} \newcommand{\Hcurl}{\HH(\curl)} %\title{SyFi Tutorial} %\author{Kent-Andre Mardal} \begin{document} \fenicstitle{SyFi User Manual} \fenicsauthor{Martin Aln\ae s and Kent-Andre Mardal} \fenicspackage{\textbf{\textsf{SyFi}}}{syfi} %\fenicsimage{eps/dolfin.eps} \maketitle{} \include{chapters/introduction} \include{chapters/software} \include{chapters/fem} \include{chapters/femexamples} \include{chapters/mixedfem} \include{chapters/computing_element_matrices} \include{chapters/python} \include{chapters/code_generation} \include{chapters/sfcuser} \include{chapters/sfctech} \bibliographystyle{plain} \bibliography{refs} \end{document} %% BEGIN CODE FROM simple.h %\begin{code} %\end{code} %% END CODE FROM simple.h syfi-1.0.0.dfsg.orig/doc/manual/figs/0000755000175000017500000000000011674103625017202 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/manual/figs/box.xfig.eepicemu0000644000175000017500000000146111672223006022440 0ustar 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syfi-1.0.0.dfsg.orig/doc/manual/chapters/0000755000175000017500000000000011674103625020063 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/doc/manual/chapters/computing_element_matrices.tex0000644000175000017500000004223211672223006026207 0ustar johannrjohannr\chapter{Computing Element Matrices} Our next task is to compute element matrices. As earlier, everything will be done symbolically. There are several reasons for doing the computations symbolically: \begin{itemize} \item Everything is exact (No floating point precision issues)! \item Differentiation of the weak form with respect to the variables is possible (Easy to compute the Jacobian for nonlinear PDEs). \item In case one uses integers and rational numbers as input (e.g., the vertices of the polygon) one gets rational numbers as output. This enables nice output. \item In case one uses symbols as input, one get symbols as output. Hence, one might actually compute an abstract element matrix, where each entry in the matrix is a function of the vertices of the polygon, $\xx_0, \xx_1,\ldots, \xx_n$, which are symbols. We will consider this in more detail later. \item Every step can be checked against analytic computations. We can even, as we will see, produce output in \LaTeX\ format, for easy reading. \item In Section \ref{sec:code:gen} we generate C++ code from the exactly computed element matrices. \end{itemize} \section{A Poisson Problem} The Poisson problem is on the form, \begin{eqnarray*} -\Delta u &=& f, \quad \text{ in } \Omega, \\ u &=& h, \quad \text{ on } \partial \Omega_E, \\ \frac{\partial u}{\partial n} &=& g, \quad \text{ on } \partial \Omega_N, \end{eqnarray*} where $\partial \Omega = \partial\Omega_E \cup \partial\Omega_N$. The weak form of the Poisson problem is (as we have already used): Find $u\in V_h$ such that \[ a(u,v) = b(v), \quad \forall v\in V_0 . \] where, \begin{eqnarray*} a(u,v) &=& \int_\Omega \nabla u \cdot \nabla v \, dx, \\ f(v) &=& \int_\Omega f \, v \, dx + \int_{\Gamma_N} g \, v \, ds . \end{eqnarray*} and $V_k={ v \in H^1 ; v|_{\partial\Omega_E} = k }$, for $k=0,h$. From this weak form we obtain the element matrix, see e.g., Brenner and Scott \cite{BrennerScott}, Ciarlet \cite{Ciarlet}, or Langtangen \cite{HPLBook}, \begin{equation} \label{poisson:element:matrix} A_{ij} = a(N_i, N_j) = \int_T \nabla N_j \cdot \nabla N_i \, dx . \end{equation} The computation of \eqref{poisson:element:matrix} is implemented in the function \emp{compute\_Poisson\_element\_matrix} in \emp{ElementComputations.cpp}, %% BEGIN CODE FROM ElementComputations.h \begin{code} void compute_Poisson_element_matrix( FE& fe, Dof& dof, std::map, ex>& A) { std::pair index; // Insert the local degrees of freedom into the global Dof for (int i=0; i< fe.nbf(); i++) { dof.insert_dof(1,i,fe.dof(i)); } Polygon& domain = fe.get_polygon(); // The term (grad u, grad v) for (int i=0; i< fe.nbf(); i++) { index.first = dof.glob_dof(fe.dof(i)); // fetch the i'th // global dof for (int j=0; j< fe.nbf(); j++) { index.second = dof.glob_dof(fe.dof(j));// fetch the j'th // global dof ex nabla = inner(grad(fe.N(i)), // compute the grad(fe.N(j))); // integrand ex Aij = domain.integrate(nabla); // compute integral A[index] += Aij; // add to matrix } } } \end{code} %% END CODE FROM ElementComputations.h \noindent Notice that in this example, both the degrees of freedom \emp{dof} and the matrix \emp{A} are global. This function can be used as follows (see \emp{fe\_ex4.cpp}), %% BEGIN CODE FROM fe_ex4.h \begin{code} //matrix in terms of rational numbers int order = 1; Triangle triangle(lst(0,0), lst(1,0), lst(0,1)); LagrangeFE fe; fe.set_order(order); fe.set_polygon(triangle); fe.compute_basis_functions(); Dof dof; std::map, ex> A; compute_Poisson_element_matrix(fe, dof, A); \end{code} %% END CODE FROM fe_ex4.h In the above example, the vertices were integers, therefore the entries in the matrix will be rational numbers. In the following example the vertices are symbols. %% BEGIN CODE FROM fe_ex4.h \begin{code} //matrix in terms of symbols symbol x0("x0"), x1("x1"), x2("x2"); symbol y0("y0"), y1("y1"), y2("y2"); Triangle triangle2(lst(x0,y0), lst(x1,y1), lst(x2,y2)); LagrangeFE fe2; fe2.set_order(order); fe2.set_polygon(triangle2); fe2.compute_basis_functions(); Dof dof2; std::map, ex> A2; compute_Poisson_element_matrix(fe2, dof2, A2); \end{code} %% END CODE FROM fe_ex4.h \noindent In this case \emp{A2} will contain expressions involving the vertices, $(x_0, y_0)$, $(x_1, y_1)$, $(x_2, y_2)$ (we used a triangle above). The GiNaC library supports many different ways to print out the output. In the example below, we turn on \LaTeX\ output with the command \emp{cout <, ex>& A) { std::pair index; std::pair index2; Polygon& domain = v_fe.get_polygon(); // Insert the local degrees of freedom into the global Dof for (int i=0; i< v_fe.nbf(); i++) { dof.insert_dof(1,i,v_fe.dof(i)); } for (int i=0; i< p_fe.nbf(); i++) { dof.insert_dof(1,v_fe.nbf()+i,p_fe.dof(i)); } // The term (grad u, grad v) for (int i=0; i< v_fe.nbf(); i++) { index.first = dof.glob_dof(v_fe.dof(i)); // fetch the dof for v_i for (int j=0; j< v_fe.nbf(); j++) { index.second = dof.glob_dof(v_fe.dof(j));// fetch the dof for v_j GiNaC::ex nabla = inner(grad(v_fe.N(i)), grad(v_fe.N(j)));// compute the integrand GiNaC::ex Aij = domain.integrate(nabla); // compute the integral A[index] += Aij; // add to global matrix } } // The term (-div u, q) for (int i=0; i< p_fe.nbf(); i++) { index.first = dof.glob_dof(p_fe.dof(i)); // fetch the dof for p_i for (int j=1; j< v_fe.nbf(); j++) { index.second=dof.glob_dof(v_fe.dof(j)); // fetch the dof for v_j ex divV= -p_fe.N(i)*div(v_fe.N(j)); // compute the integrand ex Aij = domain.integrate(divV); // compute the integral A[index] += Aij; // add to global matrix // Do not need to compute the term (grad(p),v), since the system is // symmetric. We simply set Aji = Aij index2.first = index.second; index2.second = index.first; A[index2] -= Aij; } } } \end{code} } %% END CODE FROM stokes_ex.cpp \section{A Nonlinear Convection Diffusion Problem} Our next example concerns a nonlinear convection diffusion equation, where we compute the element matrix for the Jacobian typically arising in a Newton iteration. Let the PDE be, \begin{eqnarray} (\uu\cdot\nabla)\uu - \Delta \uu &=& \ff, \quad \text{ in } \Omega, \\ \uu &=& \gg, \quad \text{ on } \partial \Omega. \end{eqnarray} This can be stated on weak form as: Find $\uu\in\VV_g$ such that \[ \FF(\uu,\vv) = 0, \quad \forall \vv\in \VV_\nnull, \] where \begin{eqnarray*} \FF(\uu,\vv) &=& \int_\Omega (\uu\cdot\nabla\uu)\cdot\vv \, dx + \int_\Omega \nabla\uu:\nabla \vv \, dx - \int_\Omega \ff \cdot \vv \, dx \end{eqnarray*} and \[ \VV_\kk = { \vv \in \HH^1 : \vv |_{\partial \Omega} = \kk }, \quad \kk=\nnull,\gg. \] The Jacobian is obtained by letting $\uu=\hat{\uu}=\sum_j u_j \NN_j$, $\vv=\NN_i$ and differentiating $\FF$ with respect to $u_j$, \[ J_{ij} = \frac{\partial F(\hat{\uu}, \NN_i)}{\partial u_j } . \] This is precisely the way it is done with SyFi, (see also \emp{nljacobian\_ex.cpp}), %% BEGIN CODE FROM nljacobian_ex.cpp {\footnotesize \begin{code} void compute_nlconvdiff_element_matrix( FE& fe, Dof& dof, std::map, ex>& A) { std::pair index; Polygon& domain = fe.get_polygon(); // insert the local dofs into the global Dof object for (int i=0; i< fe.nbf() ; i++) { dof.insert_dof(1,i,fe.dof(i)); } // create the local U field: U = sum_k u_k N_k ex UU = matrix(2,1,lst(0,0)); ex ujs = symbolic_matrix(1,fe.nbf(), "u"); for (int k=0; k< fe.nbf(); k++) { UU +=ujs.op(k)*fe.N(k); // U += u_k N_k } //Get U represented as a matrix matrix U = ex_to(UU.evalm()); for (int i=0; i< fe.nbf() ; i++) { index.first = dof.glob_dof(fe.dof(i)); // fetch global dof // First: the diffusion term in Fi ex gradU = grad(U); // compute the gradient ex Fi_diffusion = inner(gradU, // grad(U)*grad(Ni) grad(fe.N(i))); // Second: the convection term in Fi ex Ut = U.transpose(); // get the transposed of U ex UgradU = (Ut*gradU).evalm(); // compute U*grad(U) ex Fi_convection = inner(UgradU, fe.N(i), // compute U*grad(U)*Ni true); // add together terms for convection and diffusion ex Fi = Fi_convection + Fi_diffusion; // Loop over all uj and differentiate Fi with respect // to uj to get the Jacobian Jij for (int j=0; j< fe.nbf() ; j++) { index.second = dof.glob_dof(fe.dof(j)); // fetch global dof symbol uj = ex_to(ujs.op(j)); // cast uj to a symbol ex Jij = Fi.diff(uj,1); // differentiate Fi wrt. uj ex Aij = domain.integrate(Jij); // intergrate the Jacobian Jij A[index] += Aij; // update the global matrix } } } \end{code} } %% END CODE FROM nljacobian_ex.cpp \noindent Running the example \emp{nljacobian\_ex}, which employs second order continuous Lagrangian elements, yields the following output for $A[1,1]$, \begin{eqnarray} A[1,1]&=&\frac{1}{2}+\frac{2}{105} u_{3}+\frac{2}{105} u_{7} +\frac{1}{21} u_{2} \frac{13}{420} u_{1}-\frac{1}{280} u_{11} \\ &-&\frac{1}{21} u_{6} - \frac{1}{280} u_{5} \frac{1}{140} u_{10}+\frac{1}{210} u_{9}-\frac{1}{140} u_{4} . \end{eqnarray} We have used GiNaC to generate the \LaTeX code, as described on Page \pageref{ginac:output:format}. \section{Expression Simplification} When generating expressions for complicated forms, and specially non-linear forms, there is much room for optimization of the resulting expressions to generate more efficient code. Generating optimal code for the computation of a large symbolic expression is a very difficult problem, and the underlying symbolic engine in GiNaC has limited support for this. However, GiNaC has many of the building blocks to perform this optimization. We have implemented a basic algorithm to simplify general expressions, which generates helper variables for basic binary operations that are repeated. The algorithm is very simple, and the resulting speedup (in the tests) ranges from a factor four to slightly negative. Obviously more work is needed in this area to make this usable. The current expression simplifier can be tested by running "make simplify \&\& ./simplify v" under tests/. A basic code example is shown below. \begin{code} ExpressionSimplifier es; es.add(e_symbol, e_expression); es.add(f_symbol, f_expression); es.simplify(); list< pair< symbol, ex > > & selist = es.get_output().get_symex_list(); genCodeSymbols(cout, selist); \end{code} syfi-1.0.0.dfsg.orig/doc/manual/chapters/python.tex0000644000175000017500000000644611672223006022132 0ustar johannrjohannr\chapter{Python Support} \label{sec:python} SyFi comes with Python support. The SyFi Python module is created by using the tool SWIG (http://www.swig.org). One should also install the Python interface to GiNaC called Swiginac (http://swiginac.berlios.de/). The following code shows how Swiginac can be used (see also \emp{simple.py}), %% BEGIN CODE FROM simple.py \begin{code} from swiginac import * x = symbol("x") y = symbol("y") f = sin(x) print "f = ", f dfdx = diff(f,x) print "dfdx = ", dfdx \end{code} %% END CODE FROM simple.py \noindent SyFi classes and functions can be used in Python just as they are used in C++. The following example shows how to compute the element matrix for a Poisson problem using forth order Lagrangian elements, %% BEGIN CODE FROM poisson1.py \begin{code} from swiginac import * from SyFi import * p0 = [0,0,0]; p1 = [1,0,0]; p2 = [0,1,0] triangle = Triangle(p0, p1, p2) fe = LagrangeFE(triangle,4) print fe.nbf() for i in range(0,fe.nbf()): for j in range(0,fe.nbf()): integrand = inner(grad(fe.N(i)),grad(fe.N(j))) Aij = triangle.integrate(integrand) print "A(%d,%d)="%(i,j), Aij.eval() \end{code} %% END CODE FROM poisson1.py Finally, we show a Python implementation of the Crouizex-Raviart element (The C++ implementation can be found in the file \emp{CrouzeixRaviart.cpp}). Notice that in this code we inherit the functions \emp{ex N(int i)} and \emp{ex dof(int i)} and the \emp{exvector}s \emp{Ns} and \emp{dofs} from the C++ class \emp{StandardFE}. Hence, thanks to SWIG, cross-language inheritance works, and we therefore only need to implement the function \emp{compute\_basis\_functions}. The following example is implemented in \emp{crouzeixraviart.py}. %% BEGIN CODE FROM crouzeixraviart.py \begin{code} from swiginac import * from SyFi import * initSyFi(3) x = cvar.x; y = cvar.y; z = cvar.z # fetch some global variables class CrouzeixRaviart: """ Python implementation of the Crouzeix-Raviart element. The corresponding C++ implementation is in the file CrouzeixRaviart.cpp. """ def __init__(self, polygon): """ Constructor """ self.Ns = [] self.dofs = [] self.polygon = polygon self.compute_basis_functions() def compute_basis_functions(self): """ Compute the basis functions and degrees of freedom and put them in Ns and dofs, respectively. """ polspace = bernstein(1,triangle,"a") N = polspace[0] variables = polspace[1] for i in range(0,3): line = triangle.line(i) dofi = line.integrate(N) self.dofs.append(dofi) for i in range(0,3): equations = [] for j in range(0,3): equations.append(relational(self.dofs[j], dirac(i,j))) sub = lsolve(equations, variables) Ni = N.subs(sub) self.Ns.append(Ni); def N(self,i): return self.Ns[i] def dof(self,i): return self.dofs[i] def nbf(self): return len(self.Ns) p0 = [0,0,0]; p1 = [1,0,0]; p2 = [0,1,0]; triangle = Triangle(p0, p1, p2) fe = CrouzeixRaviart(triangle) fe.compute_basis_functions() print fe.nbf() for i in range(0,fe.nbf()): print "N(%d) = "%i, fe.N(i).eval().printc() print "grad(N(%d)) = "%i, grad(fe.N(i)).eval().printc() print "dof(%d) = "%i, fe.dof(i).eval().printc() \end{code} %% END CODE FROM crouzeixraviart.py syfi-1.0.0.dfsg.orig/doc/manual/chapters/sfctech.tex0000644000175000017500000002602511672223006022223 0ustar johannrjohannr\chapter{Behind the SyFi Form Compiler} FIXME: This chapter has not been updated for the new rewritten UFL-based SFC. This chapter gives an overview of the implementation of SFC, intended for developers and technical users during debugging. We strongly recommend reading the UFC paper (FIXME:REFERENCE) and UFC manual (FIXME:REFERENCE) before proceeding, since much mathematical notation, numerical concepts and technical details are defined there. \section{Example of generated code} Let us first look at an example of UFC code that is generated by SFC. Shown below is the function \texttt{tabulate\_tensor} which computes the element tensor for a stiffness matrix with a scalar conductivity. The form uses scalar linear elements for the test and trial functions v and u, and a scalar piecewise constant element (P0) for the coefficient $M$. FIXME: update code \begin{code} void cell_integral_stiffness_with_M_LagrangeFE_1_2D:: tabulate_tensor(double* A, const double * const * w, const ufc::cell& cell) const { // coordinates double x0 = cell.coordinates[0][0]; double y0 = cell.coordinates[0][1]; double x1 = cell.coordinates[1][0]; double y1 = cell.coordinates[1][1]; double x2 = cell.coordinates[2][0]; double y2 = cell.coordinates[2][1]; // affine map double G00 = x1 - x0; double G01 = x2 - x0; double G10 = y1 - y0; double G11 = y2 - y0; double detG_tmp = G00*G11-G01*G10; double detG = fabs(detG_tmp); double Ginv00 = G11 / detG_tmp; double Ginv01 = -G10 / detG_tmp; double Ginv10 = -G01 / detG_tmp; double Ginv11 = G00 / detG_tmp; A[3*0 + 0] = (5.e-01*(Ginv01*Ginv01)*w[0][0] +5.e-01*(Ginv00*Ginv00)*w[0][0] +Ginv11*Ginv01*w[0][0] +5.e-01*(Ginv11*Ginv11)*w[0][0] +Ginv10*Ginv00*w[0][0] +5.e-01*(Ginv10*Ginv10)*w[0][0])*detG; A[3*0 + 1] = (-5.e-01*(Ginv01*Ginv01)*w[0][0] -5.e-01*(Ginv00*Ginv00)*w[0][0] -5.e-01*Ginv11*Ginv01*w[0][0] -5.e-01*Ginv10*Ginv00*w[0][0])*detG; A[3*0 + 2] = (-5.e-01*Ginv11*Ginv01*w[0][0] -5.e-01*(Ginv11*Ginv11)*w[0][0] -5.e-01*Ginv10*Ginv00*w[0][0] -5.e-01*(Ginv10*Ginv10)*w[0][0])*detG; A[3*1 + 0] = (-5.e-01*(Ginv01*Ginv01)*w[0][0] -5.e-01*(Ginv00*Ginv00)*w[0][0] -5.e-01*Ginv11*Ginv01*w[0][0] -5.e-01*Ginv10*Ginv00*w[0][0])*detG; A[3*1 + 1] = (5.e-01*(Ginv01*Ginv01)*w[0][0] +5.e-01*(Ginv00*Ginv00)*w[0][0])*detG; A[3*1 + 2] = (5.e-01*Ginv11*Ginv01*w[0][0] +5.e-01*Ginv10*Ginv00*w[0][0])*detG; A[3*2 + 0] = (-5.e-01*Ginv11*Ginv01*w[0][0] -5.e-01*(Ginv11*Ginv11)*w[0][0] -5.e-01*Ginv10*Ginv00*w[0][0] -5.e-01*(Ginv10*Ginv10)*w[0][0])*detG; A[3*2 + 1] = (5.e-01*Ginv11*Ginv01*w[0][0] +5.e-01*Ginv10*Ginv00*w[0][0])*detG; A[3*2 + 2] = (5.e-01*(Ginv11*Ginv11)*w[0][0] +5.e-01*(Ginv10*Ginv10)*w[0][0])*detG; } \end{code} (The expressions for A had to be edited manually to fit on the page.) \section{Data Flow During Code Generation} A summary of the data flow in a user application can be written as \begin{itemize} \item The user defines FiniteElement objects representing all finite element spaces. \item The user defines one BasisFunction object for each axis of the element tensor. \item The user defines one Function object for each coefficient. \item The user defines a FormRep object with one list of BasisFunction objects and one list of Function objects. \item The user populates the FormRep object with IntegralRep objects. \item The user fills in each IntegralRep object with integrand expressions. \item The user passes the FormRep object to \texttt{compile\_form} or another code generation function. \end{itemize} If CallbackForm is used, the apparent data flow in the user code will be slightly different from the above, but a quick look at the CallbackForm code in SFC (it's quite short) should remove any confusion. \section{Code generation design} Here we describe the overall design of the code generation software, intended for developers who wish to extend SFC, and perhaps usable for advanced users during debugging. The C++ interface is fixed, defined by the header file ufc.h from UFC. UFC also contains a utility Python module with format strings for generating UFC compliant code. An example of a format string is seen below. \begin{code} cell_integral_implementation = """\ /// Constructor %(classname)s::%(classname)s() : ufc::cell_integral() { %(constructor)s } /// Destructor %(classname)s::~%(classname)s() { %(destructor)s } /// Tabulate the tensor for the contribution from a local cell void %(classname)s::tabulate_tensor(double* A, const double * const * w, const ufc::cell& c) const { %(tabulate_tensor)s } """ \end{code} Each UFC class (\texttt{form}, \texttt{dof\_map}, \texttt{finite\_element}, \texttt{cell\_integral}, \texttt{exterior\_facet\_integral}, \texttt{interior\_facet\_integral}) has separate format strings. In SFC, each UFC class is mirrored by a subclass of the class CodeGenerator (FormCG, DofMapCG, FiniteElementCG, CellIntegralCG, etc). These classes have only one function in common, called generate\_code(). This function should return a tuple (header\_code, cpp\_code) when called, and each implementation of it follows the same pattern. Each function in the UFC interface has a format string variable (like ``\%(tabulate\_tensor)s") with the same name. For each format string variable foo there is a corresponding function gen\_foo() in the CodeGenerator subclass. The result from each of these functions gen\_* are code for function bodies (without the function signature), which is inserted in a dictionary that is combined with the appropriate format string from UFC. The three ufc::*\_integral classes have the same single function tabulate\_tensor, which is reflected by a common base class IntegralCG for their code generators. \begin{code} class IntegralCG(CodeGenerator): def __init__(self, classname, header_format, implementation_format): self.classname = classname self.header_format = header_format self.implementation_format = implementation_format def generate_code(self): # generate code components for integral class vars = { 'classname' : self.classname, 'constructor' : indent(self.gen_constructor()), 'destructor' : indent(self.gen_destructor()), 'members' : indent(self.gen_members()), 'tabulate_tensor' : indent(self.gen_tabulate_tensor()) } # combine generated code components with # code templates defined in the ufc module hcode = self.header_format % vars cppcode = self.gen_members_implementation() cppcode += self.implementation_format % vars return hcode, cppcode \end{code} The actual code generation for the most complicated function, tabulate\_tensor, is ``outsourced'' to a set of functions gen\_tabulate\_tensor\_* found in gen\_tabulate\_tensor.py. Among the functions defined here are \begin{itemize} \item gen\_tabulate\_tensor\_cell\_symbolic \item gen\_tabulate\_tensor\_cell\_quadrature \item gen\_tabulate\_tensor\_exterior\_facet\_symbolic \item gen\_tabulate\_tensor\_exterior\_facet\_quadrature \item gen\_tabulate\_tensor\_interior\_facet\_symbolic \item gen\_tabulate\_tensor\_interior\_facet\_quadrature \end{itemize} Each of these functions take a single argument itgrep, which is an Integral object describing a single integral from a user form. \begin{code} class CellIntegralCG(IntegralCG): def __init__(self, itgrep): IntegralCG.__init__(self, classname = itgrep.classname, header_format = ufc.cell_integral_header, implementation_format = ufc.cell_integral_implementation) self.itgrep = itgrep def gen_tabulate_tensor(self): if self.itgrep.symbolic: code = gen_tabulate_tensor_cell_symbolic(self.itgrep) else: code = gen_tabulate_tensor_cell_quadrature(self.itgrep) return code \end{code} \section{Code Formatting Utilities} To help ensure a consistent formatting of the generated code, it has proved useful to have some simple code generation utilities. These utilities assist in making the code readable, and provide some basic consistency checks to ensure that the generated code is valid. At the most basic level, if you want to indent a multiline string, use the function \texttt{indent(text)}. This ensures a consistent indentation throughout the generated code, and removes. One of the central utilities is the CodeFormatter class, which handles newlines, braces and indentation for code with block constructs like if, while, do, switch and class. Errors in calls to the CodeFormatter will often be detected during code generation, reducing the chance of C++ compiler errors on generated code which can be cumbersome to debug. It also does consistency checks for nested block constructs if you use its functions \texttt{begin\_*} and \texttt{end\_*}. An example of its basic usage follows: \begin{code} #!/usr/bin/env python from sfc.CodeFormatter import CodeFormatter # fictional choice of integers facet_dofs = [(2, 0, 1), (5, 3, 4), (6, 7, 8)] code = CodeFormatter() code.begin_switch("facet") for i, dofs in enumerate(facet_dofs): code.begin_case(i) for j, d in enumerate(dofs): code += "dofs[%d] = %d;" % (j, d) code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Invalid facet number.");' code.outdent() code.end_switch() print str(code) \end{code} which produces the following nicely formatted C++ code \begin{code} switch(facet) { case 0: dofs[0] = 2; dofs[1] = 0; dofs[2] = 1; break; case 1: dofs[0] = 5; dofs[1] = 3; dofs[2] = 4; break; case 2: dofs[0] = 6; dofs[1] = 7; dofs[2] = 8; break; default: throw std::runtime_error("Invalid facet number."); } \end{code} During its filetime, the object \texttt{code} keeps track of intentation level and the current scope (on a stack). If you haven't closed all blocks when calling \texttt{str(code)}, an exception is raised. Another useful set of helper functions can generate code for declarations, definitions, assignments and additions for a list of symbol,expression pairs, or \emph{tokens}. A token list is a list of (symbol, expression) tuples. The functions are: \begin{itemize} \item \texttt{gen\_token\_declarations(tokens)} $\rightarrow$ \texttt{double s;} \item \texttt{gen\_token\_definitions(tokens)} $\rightarrow$ \texttt{double s = e;} \item \texttt{gen\_token\_assigments(tokens)} $\rightarrow$ \texttt{s = e;} \item \texttt{gen\_token\_additions(tokens)} $\rightarrow$ \texttt{s += e;} \end{itemize} %In the files \emp{affine\_map.py} and \emp{quadrature.py}, additional code generation %utilities are found. Quadrature rules are taken from \cite{solin-sergeth-dolezel}. syfi-1.0.0.dfsg.orig/doc/manual/chapters/mixedfem.tex0000644000175000017500000001172511672223006022403 0ustar johannrjohannr\chapter{Mixed Finite Elements} Mixed finite element methods typically refer to discretization methods for systems of PDEs where different finite elements are used for the different unknowns. For instance, in incompressible flow problems, one typically has (at least) two unknowns, the velocity $\vv$ and the pressure $p$. It is wellknown that the velocity elements should have higher order than the pressure elements. The reasons for this have been extensively studied the last 30 years, and we will not go into details on this here, see e.g., Brezzi and Fortin \cite{BrezziFortin} and Girault and Raviart\cite{GiraultRaviart}. What we will do here is to describe mixed finite elements from the programmers point of view. In this setting, we simply refer to mixed elements as a collection of finite elements of different types on the same polygon. The elements themselves and their implementation were discussed in the previous section. \section{The Taylor--Hood and the $\P^d_n-\P_{n-2}$ Elements } The Taylor--Hood and the $\P^d_n-\P_{n-2}$ elements are mixed elements that are popular for incompressible flow. The elements for both the velocity and the pressure are of Lagrangian type, but have different order. The Taylor--Hood element on a polygon $T$ is, \[ \vv(T) \in \P^d_2 \quad \text{and} \quad p(T)\in \P_1 . \] The $\P_n-\P_{n-2}$ element on a polygon $T$ is, \[ \vv(T) \in \P^d_n \quad \text{and} \quad p(T)\in \P_{n-2}, \quad n\ge 2. \] For $n>2$ the pressure element is of Lagrangian type, while for n=2 the pressure element is piecewise constant. These elements satisfy the Babuska-Brezzi condition. The Taylor--Hood elements can be created as follows, (see also \emp{taylorhood\_ex.cpp}) %% BEGIN CODE FROM taylorhood.h \begin{code} VectorLagrangeFE v_fe; v_fe.set_order(2); v_fe.set_size(2); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); LagrangeFE p_fe; p_fe.set_order(1); p_fe.set_polygon(domain); p_fe.compute_basis_functions(); \end{code} %% END CODE FROM taylorhood.h The $\P_n^d-\P_{n-2}$ element can be made by changing the order of the elements with the \emp{set} function. \section{The Mixed Crouizex-Raviart Element} The mixed Crouizex-Raviart element is a nonconforming linear element for the velocity and piecewise constant for the pressure. The Crouizex-Raviart element was described in Section \ref{CR:element}, while the $P_0$ element was described in Section \ref{P0:element}. These elements can be made as follows (see also \emp{crouzeixraviart\_ex2.cpp}) %% BEGIN CODE FROM crouzeixraviart_ex2.cpp \begin{code} ReferenceTriangle domain; VectorCrouzeixRaviart v_fe; v_fe.set_size(2); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); P0 p_fe; p_fe.set_polygon(domain); p_fe.compute_basis_functions(); \end{code} %% END CODE FROM crouzeixraviart_ex2.cpp \section{The Mixed Raviart-Thomas Element} The velocity element is the Raviart-Thomas element described in Section \ref{sec:fem:rt}. The pressure element is discontinuous polynomials of degree $n$. The $\P_0$ element is described in Section \ref{P0:element}, while the discontinuous $\P_n$ element is described in Section \ref{discont:Lagrange:element}. The can be made as such (see also \emp{raviartthomas\_ex2}): %% BEGIN CODE FROM raviartthomas_ex2.cpp \begin{code} int order = 3; ReferenceTriangle triangle("t"); RaviartThomas vfe; vfe.set_polygon(triangle); vfe.set_order(order); vfe.compute_basis_functions(); DiscontinuousLagrangeFE pfe; pfe.set_polygon(triangle); pfe.set_order(order); pfe.compute_basis_functions(); for (int i=0; i< vfe.nbf(); i++) cout <<"vfe.N("<(polynom_space.op(1)); ex Nj; // The Bezier ordinates in which the // basis function should be either 0 or 1 lst points = bezier_ordinates(t,order); // Loop over all basis functions Nj and all points. // Each basis function Nj is determined // by a set of linear equations: // Nj(xi) = dirac(i,j) // This system of equations is then solved by lsolve for (int j=1; j <= points.nops(); j++) { lst equations; int i=0; for (int i=1; i<= points.nops() ; i++ ) { // The point xi ex point = points.op(i-1); // The equation Nj(x) = dirac(i,j) ex eq = polynom == dirac(i,j); // Substitute x = xi and y = yi and // appended the equation to the list of equations // to the list of equations equations.append(eq.subs(lst(x == point.op(0) , y == point.op(1)))); } // We solve the linear system ex subs = lsolve(equations, variables); // Substitute to get the Nj Nj = polynom.subs(subs); cout <<"Nj "<= 2) { ex expanded_pol = expand(polynom1); for (int c1=0; c1<= order-2;c1++) { for (int c2=0; c2<= order-2;c2++) { for (int c3=0; c3<= order-2;c3++) { if ( c1 + c2 + c3 <= order -2 ) { ex eq = expanded_pol.coeff(x,c1) .coeff(y,c2).coeff(z,c3); if ( eq != numeric(0) ) { equations.append(eq == 0); } } } } } } \end{code} %% END CODE FROM RaviartThomas.cpp Second, we described how to implement the degrees of freedom \eqref{dof:rt:1}-\eqref{dof:rt:2}. The degrees of freedom associated with the edges, \[ \int_{e_i} \vv\cdot \nn \, p_k \, ds, \forall p_k \in \P_k(e_i), \\ \] are implemented as follows (Notice that the polynomial space on the edges of the triangle is made by creating Bernstein polynomials in standard fashion). %% BEGIN CODE FROM RaviartThomas.cpp \begin{code} ex bernstein_pol; int counter = 0; symbol t("t"); ex dofi; // loop over all edges for (int i=1; i<= 3; i++) { Line line = triangle.line(i); lst normal_vec = normal(triangle, i); bernstein_pol = bernstein(order-1, line, istr("a",i)); ex basis_space = bernstein_pol.op(2); ex pspace_n = inner(pspace, normal_vec); // loop over all basis functions on current edge ex basis; for (int i=0; i< basis_space.nops(); i++) { counter++; basis = basis_space.op(i); ex integrand = pspace_n*basis; dofi = line.integrate(integrand); dofs.insert(dofs.end(), dofi); ex eq = dofi == numeric(0); equations.append(eq); } } \end{code} %% END CODE FROM RaviartThomas.cpp The degrees of freedom associated with the whole triangle, \[ \int_{T} \vv\cdot \pp_{k-1} \, dx, \forall p_{k-1} \in \P^d_{k-1}(T), \] is implemented as %% BEGIN CODE FROM RaviartThomas.cpp \begin{code} // dofs related to the whole triangle lst bernstein_polv; if ( order > 1) { counter++; bernstein_polv = bernsteinv(order-2, triangle, "a"); ex basis_space = bernstein_polv.op(2); for (int i=0; i< basis_space.nops(); i++) { lst basis = ex_to(basis_space.op(i)); ex integrand = inner(pspace, basis); dofi = triangle.integrate(integrand); dofs.insert(dofs.end(), dofi); ex eq = dofi == numeric(0); equations.append(eq); } } \end{code} %% END CODE FROM RaviartThomas.cpp \noindent In the above code we have formed the linear system, \[ L_i(v) = 0 \] To compute the different $v_j$ we then produce different right hand sides corresponding to $\delta_{ij}$ and solve the system. How this is done can be seen in the \emp{RaviartThomas.cpp}. \subsection{The Nedelec element of second kind} \label{sec:nedelec:2nd} The Nedelec $\Hdiv$ element introduced in \cite{Nedelec:1986:NFM}, is very similar to the Raviart-Thomas element, except that the polynomial space is $\P_n^d$ instead of $\P_n^d + \xx \P_n$. Hence, it is the $\R^3$ analog of the Brezzi-Douglas-Marini element \cite{Brezzi:1985:TFM}. The degrees of freedom in the Nedelec $\Hdiv$ element are, \begin{eqnarray*} \int_f (\pp \cdot \nn) ds, \quad \forall q\in \P_k(f), \\ \int_K (\pp \cdot \qq) dx, \quad \forall \qq \in \R_{k-1}. \end{eqnarray*} Here \begin{eqnarray*} \R_k &=& (\P_{k-1}^3) \oplus \S^k, \\ \S^k &=& \{ \pp \in \H_k^3 | \ (\rr\cdot\pp) = 0 \}, \end{eqnarray*} where $\rr = (x,y,z)$. \subsubsection{Software Component: The Nedelec $\Hdiv$ Element} The Nedelec $\Hdiv$ element class definition is similar to the previous element definitions. %% BEGIN CODE FROM Nedelec2Hdiv.h \begin{code} class Nedelec2Hdiv : public StandardFE { public: Nedelec2Hdiv() {} virtual ~Nedelec2Hdiv() {} virtual void set_order(int order); virtual void set_polygon(Polygon& p); virtual void compute_basis_functions(); virtual int nbf(); virtual GiNaC::ex N(int i); virtual GiNaC::ex dof(int i); }; \end{code} %% END CODE FROM Nedelec2Hdiv.h \subsubsection{The Construction of the Nedelec $\Hdiv$ Element} The construction of this element is very similar to the construction of the Raviart--Thomas element. We will therefore not discuss this here. \section{Finite Elements in $H(div,\mathbf{M})$ } \label{sec:afw:hdiv} The Arnold, Falk and Winther element~\cite{AFWweak3D} for mixed elasticity problems in 3D with weak symmetry, has recently been added to SyFi. This element consists of basis functions which take values in $\mathbb{M}$, which is the space of $3 \times 3$ matrices. Each row is either a null row or the Nedelec $H(div)$ element of second kind as described in Section \ref{sec:nedelec:2nd}. The implementation is straightforward, since it is essentially a loop where each row is created as the basis functions a Nedelec element. We therefore do not comment the implementation details here. The finite element is defined in \emp{ArnoldFalkWintherWeakSym.h}. \section{A Finite Element in Both $\mathbf{H}(div)$ and $H^1$} In \cite{robust} an element for both Darcy and Stokes types of flow was introduced. The element is defined as: \[ \VV(T) = \{ \vv \in \P^2_3 \ : \ \div \vv \in \P_0, \ (\vv\cdot\nn_e) |_e \in \P_1 \ \forall e \in E(T) \}, \] where $T$ is a given triangle, $E(T)$ is the edges of $T$, $\nn_e$ is the normal vector on edge $e$, and $\P_k$ is the space of polynomials of degree $k$ and $\P_k^d$ the corresponding vector space. The degrees of freedom are, \begin{align*} &\int_e (\vv\cdot \nn) \tau^k \, d\tau, \quad k=0,1, &\forall e \in E(T), \\ &\int_e (\vv\cdot \tt) \, d\tau, &\forall e \in E(T). \end{align*} This element is implemented as follows (see also the PARA06 proceeding \emp{../para06/proceeding/para\_proceeding.pdf}). First we create the polynomial space, which consist of cubic vector functions, $\P^2_3$ %% BEGIN CODE FROM Robust.cpp \begin{code} Triangle triangle ex V_space = bernsteinv(2, 3, triangle, "a"); ex V_polynomial = V_space.op(0); ex V_variables = V_space.op(1); \end{code} Here \emp{V\_space} is the above mentioned list, \emp{V\_polynomial} contains the polynomial, and \emp{V\_variables} contains the variables. In the second step we first specify the constraint $\div \vv \in \P_0$: %% BEGIN CODE FROM Robust.cpp \begin{code} lst equations; ex divV = div(V); ex_ex_map b2c = pol2basisandcoeff(divV); ex_ex_it iter; // div constraints: for (iter = b2c.begin(); iter != b2c.end(); iter++) { ex basis = (*iter).first; ex coeff= (*iter).second; if ( coeff != 0 && ( basis.degree(x) > 0 || basis.degree(y) > 0 ) ) { equations.append( coeff == 0 ); } } \end{code} Here, the divergence is computed with the \emp{div} function. The divergence of a function in $\P^2_3$ is in $\P_2$. Hence, it is on the form $b_0 + b_1 x + b_2 y + b_3 x y + b_4 x^2 + b_5 y^2$. In the above code we find the coefficients $b_i$, as expressions involving the above mentioned variables $a_i$ and the corresponding polynomial basis, with the function \emp{pol2basisandcoeff}. Then we ensure that the only coefficient which is not zero is $b_0$. The next constraints $(\vv\cdot\nn_e) |_e \in \P_1$ are implemented in much of the same way as the divergence constraint. We create a loop over each edge $e$ of the triangle and multiply $\vv$ with the normal $\nn_e$. Then we substitute the expression for the edge, i.e., in mathematical notation $|_e$, into $\vv\cdot\nn$. After substituting the expression for these lines to get $(\vv\cdot\nn_e) |_e$ , we check that the remaining polynomial is in $\P_1$ in the same way as we did above. %% BEGIN CODE FROM Robust.cpp \begin{code} // constraints on edges: for (int i=1; i<= 3; i++) { Line line = triangle.line(i); symbol s("s"); lst normal_vec = normal(triangle, i); ex Vn = inner(V, normal_vec); Vn = Vn.subs(line.repr(s).op(0)) .subs(line.repr(s).op(1)); b2c = pol2basisandcoeff(Vn,s); for (iter = b2c.begin(); iter != b2c.end(); iter++){ ex basis = (*iter).first; ex coeff= (*iter).second; if ( coeff != 0 && basis.degree(s) > 1 ) { equations.append( coeff == 0 ); } } } \end{code} In the third step we specify the degrees of freedom. First, we specify the equations coming from $\int_e (\vv\cdot \nn) \tau^k, k=0,1$ on all edges. To do this we need to create a loop over all edges, and on each edge we create the space of linear Bernstein polynomials in barycentric coordinates on $e$, i.e., $\P_1(e)$. Then we create a loop over the basis functions $\tau^k$ in $\P_1(e)$ and compute the integral $\int_e (\vv\cdot \nn) \tau^k \, d\tau $. %% BEGIN CODE FROM Robust.cpp \begin{code} // dofs related to the normal on the edges for (int i=1; i<= 3; i++) { Line line = triangle.line(i); lst normal_vec = normal(triangle, i); ex P1_space = bernstein(1, line, istr("a",i)); ex P1 = P1_space.op(2); ex Vn = inner(V, normal_vec); ex basis; for (int j=0; j< P1.nops(); j++) { basis = P1.op(j); ex integrand = Vn*basis; ex dofi = line.integrate(integrand); dofs.insert(dofs.end(), lst(line.vertex(0), line.vertex(1), j)); ex eq = dofi == numeric(0); equations.append(eq); } } \end{code} Finally, the degrees of freedom $\int_e (\vv\cdot \tt) d\tau $, can be implemented in basically the same fashion as the previously described degrees of freedom To summarize, we have now specified 20 equations which is precisely the number of unknowns in $\P^2_3$. Hence, the space $\VV(T)$ is uniquely defined, what remains is simply to solve a linear system with 20 equations and 20 unknowns. The complete source code is in \emp{Robust.cpp}. \section{Finite Elements in $\mathbf{H}(curl)$ } \subsection{The Nedelec Element} In electromagnetic applications, \cite{Nedelec:1980:MFE} the family of Nedelec elements are very common. As was also the case with the Raviart-Thomas elements, $\P^n$ is not the most convenient space to define the basis functions. Instead, we will use \begin{equation} \label{nedlec:pol:space} \P_{n-1}^d + \hat{\H}^k, \end{equation} where \[ \hat{\H}^k = { \hh \in \H_k^d : \hh \cdot \xx = 0 } \] and $\H$ is the space of homogenous polynomials described in Section \ref{sec:homo:pol}. The degrees of freedom that defines the Nedelec elements are (in 2D), \begin{eqnarray} \label{nedelec:dof:1} \int_e \tt \cdot \uu p \, dx, \quad \forall p\in\P_{k-1}(e), \\ \label{nedelec:dof:2} \int_T \ \uu \cdot \pp \, dx, \quad \forall \pp\in\P^n_{k-2}(T). \end{eqnarray} \subsubsection{Software Component: The Nedelec Element} The Nedelec element class definition is similar to the previous element definitions. %% BEGIN CODE FROM Nedelec.h \begin{code} class Nedelec : public StandardFE { public: Nedelec() {} virtual ~Nedelec() {} virtual void set_order(int order); virtual void set_polygon(Polygon& p); virtual void compute_basis_functions(); virtual int nbf(); virtual GiNaC::ex N(int i); virtual GiNaC::ex dof(int i); }; \end{code} %% END CODE FROM Nedelec.h \subsubsection{The Construction of the Nedelec Element} The Nedelec element of arbitrary order in both 2D and 3D is implemented in \emp{Nedelec.cpp}. Here we will for simplicity describe how the element is implemented in 2D. We first consider the polynomial space \eqref{nedlec:pol:space}, %% BEGIN CODE FROM Nedelec.h \begin{code} // create r GiNaC::ex R_k = homogenous_polv(2,k+1, 2, "a"); GiNaC::ex R_k_x = R_k.op(0).op(0); GiNaC::ex R_k_y = R_k.op(0).op(1); // Equations that make sure that r*x = 0 GiNaC::ex rx = (R_k_x*x + R_k_y*y).expand(); ex_ex_map pol_map = pol2basisandcoeff(rx); ex_ex_it iter; for (iter = pol_map.begin(); iter != pol_map.end(); iter++) { if ((*iter).second != 0 ) { equations.append((*iter).second == 0 ); removed_dofs++; } } \end{code} %% END CODE FROM Nedelec.h The degree of freedom associated with the edges \eqref{nedelec:dof:1} are implemented as, %% BEGIN CODE FROM Nedelec.h \begin{code} GiNaC::ex dofi; // dofs related to edges for (int i=1; i<= 3; i++) { Line line = triangle.line(i); GiNaC::lst tangent_vec = tangent(triangle, i); GiNaC::ex bernstein_pol = bernstein(order, line, istr("a",i)); GiNaC::ex basis_space = bernstein_pol.op(2); GiNaC::ex pspace_t = inner(pspace, tangent_vec); GiNaC::ex basis; for (int j=0; j< basis_space.nops(); j++) { counter++; basis = basis_space.op(j); GiNaC::ex integrand = pspace_t*basis; dofi = line.integrate(integrand); dofs.insert(dofs.end(), dofi); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); } } \end{code} %% END CODE FROM Nedelec.h The degree of freedom associated with whole triangle \eqref{nedelec:dof:2} are implemented as, %% BEGIN CODE FROM Nedelec.h \begin{code} // dofs related to the whole triangle GiNaC::lst bernstein_polv; if ( order > 0) { counter++; bernstein_polv = bernsteinv(2,order-1, triangle, "a"); GiNaC::ex basis_space = bernstein_polv.op(2); for (int i=0; i< basis_space.nops(); i++) { GiNaC::lst basis = GiNaC::ex_to ( basis_space.op(i)); GiNaC::ex integrand = inner(pspace, basis); dofi = triangle.integrate(integrand); dofs.insert(dofs.end(), dofi); GiNaC::ex eq = dofi == GiNaC::numeric(0); equations.append(eq); } } \end{code} %% END CODE FROM Nedelec.h syfi-1.0.0.dfsg.orig/doc/manual/chapters/software.tex0000644000175000017500000001323611672223006022436 0ustar johannrjohannr\chapter{Software} \section{License} SyFi employs GiNaC and is therefore limited by GiNaCs license, which is the GPL-2 licence listed below. However, SyFi is usually used to generated code. The generated code is free. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. Notice, however that SyFi is usually used to generate code. This code is free, but it comes without any warranty for fitness of any purpose. In the case where the GNU licence does not fit your need. Contact the authors at \emp{syfi-dev@fenics.org}. \section{Installation} \subsubsection{Dependencies} SyFi is a C++ library and therefore a C++ compiler is needed. At present the library has only been tested with the GNU C++ compiler. The \emp{configure} script is a shell script made by the tools Automake and Autoconf. Hence, you can run this script with, e.g., the GNU Bourne-again shell. Finally, SyFi relies on the C++ library GiNaC. \subsubsection{Configuration and Installation} As mention earlier, the configuration, build and installation scripts are all made by the Autoconf and Automake tools. Hence, to configure, build and install the package, simply execute the commands, \begin{code} bash >./configure bash >make bash >make install \end{code} \noindent If this does not work, it is most likely because GiNaC is not properly installed on your system. Check if you have the script \emp{ginac-config} in your path. \subsubsection{Reporting Bugs/Submitting Patches} In case, you want to contribute code, please create a patch with \emp{diff}, \begin{code} bash >diff -u -N -r SyFi SyFi-mod > SyFi--.patch \end{code} \noindent Here \emp{} should be replaced with your name and \emp{} should be replaced with the current date. The patch should be mailed to the SyFi mailing-list at \emp{syfi-dev@fenics.org}. \section{Python Support} SyFi comes with Python support. The Python module is made by using the tool SWIG \cite{www:swig}. In addition, one should also install Swiginac \cite{www:swiginac}, which is a Python interface to GiNaC created by using SWIG. More about the usage of the Python interface can be found in Section \ref{sec:python}. \section{Examples and Tests} A series of tests are located in the subdir \emp{tests}, these test serve as unit test and document the features of SyFi as described in this tutorial. If the tests are simple we use the function \emp{EQUAL\_OR\_DIE}, an example is (see also \emp{simple\_test.cpp} \begin{code} symbol x("x"); ex f = x*x; ex intf = integral(x,0,1,f); intf = eval_integ(intf); EQUAL_OR_DIE(integral1, "1/3"); \end{code} When the tests or computed expressions are bigger we typically store the expressions in a GiNaC archive (\emp{.gar} files) and compare the archive with a previously created and verified archive. The following code demostrates how the basis functions and degrees of freedom of a first order Lagrangian element is computed, stored in an archive and then compared with the previously verified basis functions and degrees of freedom. \begin{code} int order = 1; ReferenceTriangle triangle; LagrangeFE fe(triangle, order); // regression test archive ar; for (int i=0; i< fe.nbf(); i++) { ar.archive_ex(fe.N(i) , istr("N",i).c_str()); ar.archive_ex(fe.dof(i) , istr("D",i).c_str()); } ofstream vfile("fe_ex1.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("fe_ex1.gar.v", "fe_ex1.gar.r")) { cerr << "Failure!" << endl; return -1; } \end{code} All examples described in this tutorial are also implemented as tests in the \emp{tests} subdir. \section{GiNaC Tools} \subsection{The symbol factory} In GiNaC, the identity of a symbol is not defined by its name, but by an internal number. Because of this, the code \begin{code} ex a = symbol("x"); ex b = symbol("x"); ex c = a-b; \end{code} does not yield 0 in c, since a and b refer to different symbols. To solve this we have implemented a simple symbol factory, so we can refer to variables by name without passing the symbol objects around everywhere. The user can ask if a symbol exists, or get numbered symbols and vectors or matrices of numbered symbols in a convenient way. \begin{code} ex x1 = get_symbol("x"); ex x2 = get_symbol("x"); assert( is_zero(x1-x2) ); ex u = get_symbolic_vector(3, "u"); ex A = get_symbolic_matrix(3, 3, "A"); ex c = isymb("c", 2); assert( symbol_exists("c2") ); \end{code} \subsection{Symbols for spatial variables} Certain operations like the differential operators diff and grad needs to know certain symbols to operate correctly. The spatial variables x,y,z and t are particularly important, and because of this we have a shortcut to these variables. Operations like grad also need to know the number of spatial dimensions, often abbreviated nsd in SyFi. Therefore, a call to initSyFi(nsd) must be made before one can use these operators. It is safe to call initSyFi more than once. The spatial symbols x,y,z,t can also be retrieved from the symbol factory. \begin{code} initSyFi(3); int space_dim = SyFi::nsd; ex x = SyFi::x; ex y = SyFi::y; ex z = SyFi::z; ex t = SyFi::t; // or: ex x = get_symbol("x"); \end{code} %\section{Notes on Style} syfi-1.0.0.dfsg.orig/doc/manual/chapters/code_generation.tex0000644000175000017500000002605011672223006023727 0ustar johannrjohannr\chapter{Code Generation} \label{sec:code:gen} In this section we will describe some matrix factories created for the PyCC project~\cite{www:pycc}, which have been made by using SyFi, GiNaC and Swiginac. At present, we have written ca. 1500 lines of Python code using SyFi, Swiginac etc., which have generated roughly 60 000 lines of C++ code for the computation (of various variants) of the mass matrix, the stiffness matrix, the convection matrix and the divergence matrix using Lagrangian elements of order 1-5 in 2D and 1-3 in 3D. Furthermore, the generated C++ code is efficient, since everything except the geometry mapping can be computed exactly. Notice also that although only Lagrangian elements have been used so far, most of the Python code that generated the C++ code is completely element independent. In addition to the generated C++ code we have also written about 1500 lines of code which loops over the cells of a Dolfin mesh ~\cite{www:dolfin} such that global matrices are made. We have create two matrix factories. These are implemented in \emp{MatrixFactory} and \emp{MatrixFactory\_highorder}. There are three differences between these two factories. The first difference is that \emp{MatrixFactory} employs the numbering of degrees of freedom in the Dolfin mesh. Therefore, this \emp{MatrixFactory} is limited to linear Lagrangian elements. On the other hand, \emp{MatrixFactory\_highorder} uses \emp{DofT}, described in Section \ref{sec:dof}, which works for general elements. The second difference is that in \emp{MatrixFactory} the integration is performed on a global element with global basis functions, e.g., for the stiffness matrix, \begin{equation} \label{stiffness:global} A_{ij} = \int_T \nabla N_i \nabla N_j dx. \end{equation} In \emp{MatrixFactory\_highorder}, the integration is performed on the reference element with a geometry tensor $G$ (the Jacobian of the geometry mapping) and $D = \det(G)$, \begin{equation} \label{stiffness:reference} A_{ij} = \int_{\hat{T}} (G^{-T} \nabla \hat{N}_i)\cdot (G^{-T} \nabla \hat{N}_j) D \, dx . \end{equation} which is the typical way to do it in finite element codes. At present, we favor \eqref{stiffness:reference} to \eqref{stiffness:global} simply because it produces much smaller expressions and therefore faster code. However, the large expressions in \eqref{stiffness:global} typically involve subexpressions repeated many times. Hence, it should be possible to postprocess these expressions to create smaller expressions and faster code. However, we have not done this yet. Finally, the third difference is that \emp{MatrixFactory\_highorder} works for the \emp{FastMatSparse} matrix in PyCC, the Epetra matrix in Trilinos \cite{www:trilinos} and for STL maps of type \emp{map,double>}. \section{Basic Tools} We will illustrate the code generation by considering what was done for the mass matrix in \emp{MatrixFactory\_highorder}. The entries of a mass matrix are: \[ M_{kl} = \int_T N_k N_l \, dx = \int_{\hat{T}} \hat{N}_i \hat{N}_j D \, dx, , \] where $T$ is the global polygon, $N_k$ and $N_l$ are the $k$'th and $l$'th global basis functions, respectively, $\hat{T}$ is the reference polygon, $\hat{N}_i$ and $\hat{N}_j$ are the $i$'th and $j$'th basis functions on the reference polygon corresponding to $k$ and $l$, respectively, and $D$ is the determinant of the Jacobian of the geometry mapping. The following code shows how this can be done (see also \emp{code\_gen.py}): %% BEGIN CODE FROM code_gen.py \begin{code} def create_A_string_mass(fe): A_str = " double A[%d][%d];\\n "%(fe.nbf(), fe.nbf()) domain = fe.get_polygon() # loop over all N(i) for i in range(0,fe.nbf()): # loop over all N(j) for j in range(0,fe.nbf()): # compute the integrand N(i)*N(j) integrand = fe.N(i).eval()*fe.N(j).eval() # integrate over the domain Aij = domain.integrate(toex(integrand)) # generate C string and append the string to the rest A_str += " A[%d][%d]=(%s)*D;\\n "% (i,j,Aij.eval().evalf().printc()) \end{code} %% END CODE FROM code_gen.py \noindent The following output is produced, when using linear element on a 2D triangle (see also \emp{matrix\_factory\_mass\_2D.cc}, which also contains code for higher order Lagrangian elements), %% BEGIN CODE FROM matrix_factory_mass_2D.cc \begin{code} double A[3][3]; A[0][0]=(8.3333333333333329e-02)*D; A[0][1]=(4.1666666666666664e-02)*D; A[0][2]=(4.1666666666666664e-02)*D; A[1][0]=(4.1666666666666664e-02)*D; A[1][1]=(8.3333333333333329e-02)*D; A[1][2]=(4.1666666666666664e-02)*D; A[2][0]=(4.1666666666666664e-02)*D; A[2][1]=(4.1666666666666664e-02)*D; A[2][2]=(8.3333333333333329e-02)*D; \end{code} %% END CODE FROM matrix_factory_mass_2D.cc Hence, this is the mass element matrix on the reference element multiplied with $D$. In addition to computing the element matrix we also need to computed the global degrees of freedom and generate a C function. We will not go into details on this, but recommend the reader to have a look in \emp{code\_gen.py}. The complete function for the computation of the element matrix, in the case of linear Lagrangian elements, and the insertion of the element matrix in the global matrix can be found in \emp{matrix\_factory\_mass\_2D.cc} is: %% BEGIN CODE FROM matrix_factory_mass_2D.cc {\footnotesize \begin{code} void matrix_factory_mass_2D_order1 (map,double>& matrix, DofT& dof, int element, double pp0[2], double pp1[2], double pp2[2]){ // geometry related stuff double x0 = pp0[0]; double y0 = pp0[1]; double x1 = pp1[0]; double y1 = pp1[1]; double x2 = pp2[0]; double y2 = pp2[1]; double G00 = x1 - x0; double G01 = x2 - x0; double G10 = y1 - y0; double G11 = y2 - y0; double D = fabs(G00*G11-G01*G10); // inserting local dofs in the global dof handler (dof) int iidof[3]; double dof1[2]; dof1[0]=x0; dof1[1]=y0; Ptv pdof1(2,dof1); iidof[0] = dof.insert_dof(element,1,pdof1); double dof2[2]; dof2[0]=G01+x0; dof2[1]=y0+G11; Ptv pdof2(2,dof2); iidof[1] = dof.insert_dof(element,2,pdof2); double dof3[2]; dof3[0]=G00+x0; dof3[1]=G10+y0; Ptv pdof3(2,dof3); iidof[2] = dof.insert_dof(element,3,pdof3); // compute the element matrix double A[3][3]; A[0][0]=(8.3333333333333329e-02)*D; A[0][1]=(4.1666666666666664e-02)*D; A[0][2]=(4.1666666666666664e-02)*D; A[1][0]=(4.1666666666666664e-02)*D; A[1][1]=(8.3333333333333329e-02)*D; A[1][2]=(4.1666666666666664e-02)*D; A[2][0]=(4.1666666666666664e-02)*D; A[2][1]=(4.1666666666666664e-02)*D; A[2][2]=(8.3333333333333329e-02)*D; // insert element matrix into global matrix int nbf = 3; pair index; for (int i=0; i< nbf; i++) { index.first = iidof[i]; for (int j=0; j< nbf; j++) { index.second = iidof[j]; matrix[index] += A[i][j]; } } } \end{code} } %% END CODE FROM matrix_factory_mass_2D.cc Finally, we show how the above function is used in PyCC to compute the mass matrix on a Dolfin mesh (see also \emp{MatrixFactory\_highorder.cpp}) %% BEGIN CODE FROM MatrixFactory_highorder.cpp {\footnotesize \begin{code} void MapMatrixFactory:: computeMassMatrix(){ int e = -1; if (mesh->numSpaceDim() == 2) { double p0[2]; double p1[2]; double p2[2]; for (CellIterator cell(*mesh); !cell.end(); ++cell) { e++; // Obtain vertices from Dolfin mesh Vertex& v0 = (*cell).vertex(0); Vertex& v1 = (*cell).vertex(1); Vertex& v2 = (*cell).vertex(2); // Create double arrays with the data from the vertices p0[0] = v0.coord().x; p0[1] = v0.coord().y; p1[0] = v1.coord().x; p1[1] = v1.coord().y; p2[0] = v2.coord().x; p2[1] = v2.coord().y; switch(order1) { case 1 : matrix_factory_mass_2D_order1(*matrix,*idof,e,p0,p1,p2); break; case 2 : matrix_factory_mass_2D_order2(*matrix,*idof,e,p0,p1,p2); break; case 3 : matrix_factory_mass_2D_order3(*matrix,*idof,e,p0,p1,p2); break; case 4 : matrix_factory_mass_2D_order4(*matrix,*idof,e,p0,p1,p2); break; case 5 : matrix_factory_mass_2D_order5(*matrix,*idof,e,p0,p1,p2); break; } } } } \end{code} } %% END CODE FROM MatrixFactory_highorder.cpp Notice that this code works for Lagrangian elements of order 1-5 in 2D. %\chapter{The Finite Element Method: The Poisson Problem} % \section{Mixed Problems} % \section{Stokes Problem} % \subsection{Finite Elements} % \subsection{Software Components} % % % % \section{Mixed Poisson} % \subsection{\Hdiv approximation} % \subsection{Finite Elements} % \subsection{Software Components} % \section{Debugging} Debugging finite element codes is often extremely hard, at least that is the authors' experience. This has been one of the reasons why we have chosen to employ a symbolic math engine behind the curtain in the first place. One of the advantages of SyFi is that one obtain explicit symbolic expressions for all the basis functions (and its derivatives). Another good thing is that one can create global finite elements, that is finite elements that are not defined on reference geometries, and perform integration and differentiation on their geometries. For instance, when we created the divergence matrix factory we initially had a mysterious bug which took us several hours to find. To locate the bug, we computed the divergence element matrix on a global element with the vertices $\xx_0 = (0.2,0.2)$, $\xx_1 = (0.4,0.2)$, and $\xx_2 = (0.1,0.3)$, and compared it with the divergence element matrix on the reference element with the corresponding geometry tensor. To do this, we wrote the following code (see also \emp{main\_syfi.cpp}): %% BEGIN CODE FROM main_syfi.cpp \begin{code} // create global triangle lst p0(0.2, 0.2); lst p1(0.4, 0.2); lst p2(0.1, 0.3); Triangle triangle(p0,p1,p2); // create vector element for v on the global triangle VectorLagrangeFE v_fe; v_fe.set_size(2); v_fe.set_order(vorder); v_fe.set_polygon(triangle); v_fe.compute_basis_functions(); // create scalar element for p on the global triangle LagrangeFE p_fe; p_fe.set_order(1); p_fe.set_polygon(triangle); p_fe.compute_basis_functions(); // compute global element matrix map, ex> A; pair index; for (int i=0; i< p_fe.nbf(); i++) { index.first = i; for (int j=0; j< v_fe.nbf(); j++) { index.second= j; ex divV= p_fe.N(i)*div(v_fe.N(j)); ex Aij = triangle.integrate(divV); A[index] = Aij; } } \end{code} %% END CODE FROM main_syfi.cpp The element matrix created by this code was then printed out and compared with the element matrix computed by the matrix factory on the same polygon (see \emp{dolfin\_main.cpp}). By comparing each entry of the two matrices we quickly found the (uninteresting) bug. Hence, in out experience it is extremely valuable to have the concrete basis functions etc. on global element, and being able to work with them both with a pen and a paper and the computer, to reveal what is going on. syfi-1.0.0.dfsg.orig/doc/manual/chapters/introduction.tex0000644000175000017500000001423011672223006023320 0ustar johannrjohannr\chapter{Introduction} \emph{The reader should be aware that this manual is not quite up to date. Discrepancies between this manual and the current source code is to be expected, but the general concepts should stay the same.} The finite element package SyFi is a C++ library built on top of the symbolic math library GiNaC \cite{www:ginac}. The name SyFi stands for Symbolic Finite elements. The package provides polygonal domains, polynomial spaces, and degrees of freedom as symbolic expressions that are easily manipulated. This makes it easy to define and use finite elements. The SyFi Form Compiler (SFC) allows the use of the symbolic expressions for finite elements from SyFi to compile efficient C++ code. All the test examples described in this tutorial can be found in the directory \emp{tests}. The reader is of course encouraged to run the examples along with the reading. Before we start to describe SyFi, we need to briefly review the basic concepts in GiNaC. GiNaC is an open source C++ library for symbolic mathematics, which has a strong support for polynomials. The basic structure in GiNaC is an \emp{ex}, which may contain either a number, a symbol, a function, a list of expressions, etc. (see \emp{simple.cpp}): %% BEGIN CODE FROM simple.h \begin{code} ex pi = 3.14; ex x = symbol("x"); ex f = cos(x); ex list = lst(pi,x,f); \end{code} %% END CODE FROM simple.h \noindent Hence, \emp{ex} is a quite general class, and it is the cornerstone of GiNaC. It has a lot of functionality, for instance differentiation and integration (see \emp{simple2.cpp}), %% BEGIN CODE FROM simple2.h \begin{code} // initialization (f = x^2 + y^2) ex f = x*x + y*y; // differentiation (dfdx = df/dx = 2x) ex dfdx = f.diff(x,1); // integration (intf=1/3+y^2, integral of f(x,y) on x=[0,1]) ex intf = integral(x,0,1,f); \end{code} %% END CODE FROM simple2.h GiNaC also has a structure for lists of expressions, \emp{lst}, with the function \emp{nops()} which returns the size of the list, and \emp{operator [int i]} or the function \emp{op(int i)} which returns the $i$'th element. We recommend the reader to glance through the GiNaC documentation before proceeding with this tutorial. GiNaC provides all the basic tools for manipulation of polynomials, such as differentiation and integration with respect to one variable. Our goal with the SyFi package is to employ GiNaC, but also to provide higher level constructs such as differentiation with respect to several variables (e.g., $\nabla$), integration of functions over polygonal domains, and polynomial spaces. All of which are basic ingredients in the finite element method. Our motivation behind this project is threefold. First, we wish to make advanced finite element methods more readily available. We want to do this by implementing a variety of finite elements and functions for computing element matrices. Second, in our experience developing and debugging codes for finite element methods is hard. Having the basis functions and the weak form as symbolic expressions, and being able to manipulate them may be extremely valuable. For instance, being able to differentiate the weak form to compute the Jacobian in the case of a nonlinear PDE, eliminates a lot of handwriting and coding. Third, having the symbolic expressions and employing GiNaCs tools for code generation, we are able to write efficient and directly compilable C++ code for the computation of element matrices etc. To try to motivate the reader, we also show an example where we compute the element matrix for the weak form of the Poisson equation, i.e., \[ A_{ij} = \int_T \nabla N_i \cdot \nabla N_j \, dx . \] We remark that the following example is an attempt to make an appetizer. All concepts will be carefully described during the tutorial. %% BEGIN CODE FROM check_poisson.h {\footnotesize \begin{code} void compute_element_matrix(Polygon& T, int order) { std::map, ex> A; // matrix of expression std::pair index; // index in matrix LagrangeFE fe; // Lagrange element (any order) fe.set_order(order); // set the order fe.set_polygon(domain); // set the polygon fe.compute_basis_functions(); // compute the basis functions for (int i=0; i< fe.nbf(); i++) { index.first = i; for (int j=0; j< fe.nbf(); j++) { index.second = j; ex nabla = inner(grad(fe.N(i)), // compute integrands grad(fe.N(j))); ex Aij = T.integrate(nabla); // compute weak form A[index] = Aij; // update element matrix } } } \end{code} } %% END CODE FROM check_poisson.h \noindent In the above example, everything is computed symbolically. Even the polygon may be an abstract polygon, e.g., specified as a triangle with vertices $\xx_0$, $\xx_1$, and $\xx_2$, where the vertices are symbols and not concrete points. Notice also, that we usually use STL containers to store our datastructure. This leads to the somewhat unfamiliar notation \emp{A[index]} instead of \emp{A[i,j]}. There are quite a few other projects that are similar in various respects to SyFi. We will not give a comprehensive description of these projects, only mention the projects such that the readers can look them up by themselves. Within the FEniCS~\cite{FEniCS} project there are two Python projects: FIAT~\cite{FIAT} and FFC~\cite{FFC}. FIAT is a Python module for defining finite elements while FFC generates C++ code based on a high--level Python description of variational forms. The DSEL project~\cite{DSEL} is a project which employs high--level C++ programming techniques such as expression templates and meta-programming for defining variational forms, performing automatic differentiation, interpolation and more. Sundance~\cite{sundance} is a C++ library with a powerful symbolic engine which supports automatic generation of discrete system for a given variational form. Analysa~\cite{analysa}, GetDP~\cite{getdp}, and FreeFem++~\cite{FreeFem} define domain-specific languages for finite element computations. Finally, we have to warn the reader: This project is still within its initial phase. syfi-1.0.0.dfsg.orig/doc/manual/chapters/fem.tex0000644000175000017500000011767311672223006021365 0ustar johannrjohannr\chapter{A Finite Element} \section{Basic Concepts} To keep the abstractions clear we briefly review the general definition of a finite element, see e.g., Brenner and Scott \cite{BrennerScott} or Ciarlet \cite{Ciarlet}. \begin{definition}[A Finite Element] \label{def:finite:element} A finite element consists of, \begin{enumerate} \item A polygonal domain, $T$. \item A polynomial space, $V$. \item A set of degrees of freedom (linear forms), $L_i : V \rightarrow \R $, for $i=1,\ldots,n$, where $n=\dim(V)$, that determines $V$ uniquely. \end{enumerate} \end{definition} Furthermore, to determine a basis in $V$, $\{N_i\}_{i=1}^{n}$, we form the linear system of equations, \begin{equation} \label{dofdelta} L_i(N_j) = \delta_{ij}, \end{equation} and solve it. \begin{example}[Linear Lagrangian element on the reference triangle] In this example we describe how the linear Lagrangian element is defined on the reference triangle. Let $T$ be the unit triangle with vertices $(0,0)$, $(1,0)$, and $(0,1)$. Furthermore, the polynomial space $V$ consists of linear polynomials, i.e., polynomials on the form $ N(x,y) = a + b x + c y$. The degrees of freedom for a linear Lagrangian element are simply the pointvalues at the vertices, $\xx_i$, $L_i(N_j) = N_j(\xx_i)$. The degrees of freedom and \eqref{dofdelta} determined $a_j$, $b_j$, and $c_j$ for each basis function $N_j$. For instance $N_1$, which is on the form $a_1 + b_1 x + c_1 y$, is determined by, \[ L_i(N_1) = N_1(\xx_i) = \delta_{i1}, \] or written out as a system of linear equations, \[ \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 0 & 1 \\ \end{array} \right] \left[ \begin{array}{c} a_1 \\ b_1 \\ c_1 \\ \end{array} \right] = \left[ \begin{array}{c} 1 \\ 0 \\ 0 \\ \end{array} \right] \] Hence, \[ N_1 = 1 - x - y . \] The functions $N_2$ and $N_3$ can be determined similarly. \end{example} \noindent In the next sections we will go detailed through polygons, polynomial spaces and degrees of freedom, and the corresponding software components. \section{Polygons} In the finite element method we need the concept of simple polygons to define integration, polynomial spaces etc. The basic polygons are lines, triangles, tetrahedra, and orthogonal rectangles and boxes. These basic components will be briefly described in this section. \subsection{Line} A line segment, L, between two points $\xx_0 = [x_0, y_0, z_0]$ and $\xx_1 = [x_1, y_1, z_1]$ in 3D is defined as, see also Figure \ref{fig:line}, \begin{eqnarray} \label{line:repr:x} x &=& x_0 + a\, t, \\ \label{line:repr:y} y &=& y_0 + b\, t, \\ \label{line:repr:z} z &=& z_0 + c\, t, \\ \label{line:repr:t} t &\in& [0,1], \end{eqnarray} where $a = x_1 - x_0$, $b = y_1 - y_0$, and $c = z_1 - z_0 $. Integration of a function $f(x,y,z)$ along the line segment $L$ is performed by substitution, \begin{equation} \int_L f(x,y,z) \, dx \, dy \, dz = \int_0^1 f(x(t), y(t), z(t)) \, D \,dt, \end{equation} where $D = \sqrt{a^2 + b^2 + c^2}$. \begin{figure} \begin{center} \label{fig:line} \caption{A line.} \input{figs/line.xfig.eepicemu} \end{center} \end{figure} \subsubsection{Software Component: Line} The class \emp{Line} implements a general line. It is defined as follows (see \emp{Polygon.h}): %% BEGIN CODE FROM Polygon.h \begin{code} class Line : public Polygon { ex a_; ex b_; public: Line() {} Line(ex x0, ex x1, // x0_ and x1_ are points string subscript = ""); ~Line(){} virtual int no_vertices(); virtual ex vertex(int i); virtual ex repr(ex t); virtual string str(); virtual ex integrate(ex f); }; \end{code} %% END CODE FROM Polygon.h \noindent Most of the functions in this class are self-explanatory. However, the function \emp{repr} deserves special attention. The function \emp{repr} returns the mathematical definition of a line. To be precise, this function returns a list of expressions (\emp{lst}), where the items are the items in \eqref{line:repr:x}-\eqref{line:repr:t} (see also the example below). \noindent The basic usage of a line is as follows (see \emp{line\_ex1.cpp}), %% BEGIN CODE FROM line_ex1.cpp \begin{code} ex p0 = lst(0.0,0.0,0.0); ex p1 = lst(1.0,1.0,1.0); Line line(p0,p1); // show usage of repr symbol t("t"); ex l_repr = line.repr(t); cout <<"l.repr "<, ex> A; std::pair index; LagrangeFE fe; fe.set_order(order); fe.set_polygon(T); fe.compute_basis_functions(); for (int i=0; i< fe.nbf(); i++) { index.first = i; for (int j=0; j< fe.nbf(); j++) { index.second = j; ex nabla = inner(grad(fe.N(i)), grad(fe.N(j))); ex Aij = T.integrate(nabla); A[index] = Aij; } } \end{code} %% END CODE FROM fe_ex2.cp \noindent Here, we have used the class \emp{LagrangeFE}, which is a subclass of \emp{FE}, that implements Lagrangian elements of arbitrary order. The construction of this element is described later in Section \ref{Lagrangian:element}. \section{Degrees of Freedom} \label{sec:dof} As we have seen earlier, for each element $e$, we have a local set of degrees of freedom ${L_i^e}$, which in general are linear forms on the polynomial space. Degrees of freedom and linear forms are quite general concepts, but the reader not familiar with this general definition can think of them for instance as nodal values at vertices, i.e., \[ L_i(v) = v(\xx_i) . \] Another example is the integral of $v$ over an edge (or a face), $e_i$, of the polygon, \[ L_i(v) = \int_{e_i} v \, ds. \] The most important thing with the degrees of freedom, besides defining a basis for the polynomial space, is that they provide a mapping from the local degree of freedom, $L_i^e$, on a given element, $e$, to the global degree of freedom, $L_j$. This mapping does in turn provide the mapping between the element matrices/vectors and the global matrix/vector. Hence, we have the following mapping, \begin{equation} \label{dof:loc2glob} (e,i) \rightarrow L^e_i \rightarrow L_j \rightarrow j . \end{equation} Here $e$, $i$, and $j$ are integers, while $L^e_i$ and $L_j$ are degrees of freedom (or linear forms). Additionally, given a global degree of freedom we have a mapping to the local degrees of freedom, \begin{equation} \label{dof:glob2loc} j \rightarrow L_j \rightarrow {L^e_{i(e)}}_{e\in E(j)} \rightarrow { (e,i(e)) }_{e \in E(j)} . \end{equation} Here $E(j)$ is the set of elements sharing the degree of freedom $L_j$. \subsubsection{Software Component: Degrees of Freedom Handler} A degree of freedom, local or global, is well represented as an \emp{ex} (in fact \emp{ex} is more general than a linear form). Hence, to implement proper tools for handling the degrees of freedom, we only need to provide the mappings \eqref{dof:loc2glob} and \eqref{dof:glob2loc}. We have implemented a class \emp{Dof} which provides these mappings, %% BEGIN CODE FROM Dof.h \begin{code} class Dof { protected: int counter; // the structures loc2dof, dof2index, and doc2loc // are completely dynamic. They are all initialized // and updated by insert_dof(int e, int d, ex dof) // (int e, int i) -> ex Li map, ex> loc2dof; // (ex Lj) -> int j map dof2index; // (int j) -> ex Lj map index2dof; // (ex Lj) -> vector< pair, .. pair > map >,ex_is_less > dof2loc; public: Dof() { counter = 0; } ~Dof() {} int insert_dof(int e, int j, ex Lj); // update internal // structures // Helper functions to be used when the dofs have been set. // These do not modify the internal structure int glob_dof(int e, int j); int glob_dof(ex Lj); ex glob_dof(int j); int size(); vector > glob2loc(int j); void clear(); }; \end{code} %% END CODE FROM Dof.h \noindent Here, the function \emp{int insert\_dof(int e, int i, ex Li)} creates the various mappings between the local dof $L^e_i$, in element $e$, and the global dof $L_j$. This is the only function for initializing the mappings. After the mappings have been initialized, they can be used as follows, \begin{itemize} \item \emp{int glob\_dof(int e, int i)} is the mapping $(e,i) \rightarrow j$, \item \emp{int glob\_dof(ex Lj)} is the mapping $L_j \rightarrow j$, \item \emp{ex glob\_dof(int j)} is the mapping $j \rightarrow L_j$, \item \emp{vector > glob2loc(int j)} is the mapping $j\rightarrow { (e,i(e)) }$. \end{itemize} \noindent The following code shows how to make two Lagrangian elements, implemented by the class \emp{LagrangeFE} (The description of \emp{LagrangeFE} is postponed until Section \emp{sec:fem:examples}), assign their local degrees of freedom to the global set of degrees of freedom in \emp{Dof}, and print out the local degrees of freedom associated with each global degree of freedom (see also \emp{dof\_ex.cpp}): %% BEGIN CODE FROM dof_ex.h \begin{code} Dof dof; Triangle t1(lst(0,0), lst(1,0), lst(0,1)); Triangle t2(lst(1,1), lst(1,0), lst(0,1)); // Create a finite element and corresponding // degrees of freedom on the first triangle int order = 2; LagrangeFE fe; fe.set_order(order); fe.set_polygon(t1); fe.compute_basis_functions(); for (int i=0; i< fe.nbf(); i++) { cout <<"fe.dof("< class DofT { protected: bool create_index2dof, create_dof2loc; int counter; // the structures loc2dof, dof2index, and doc2loc are // completely dynamic. They are all initialized and // updated by insert_dof(int e, int i, ex Li). // (int e, int i) -> int j map, int> loc2dof; // (ex Lj) -> int j map dof2index; typename map:: iterator iter; // (int j) -> ex Lj map index2dof; // (ex j) -> vector< pair, .. pair > map > > dof2loc; public: DofT(bool create_index2dof_ = false, bool create_dof2loc_ = false) { counter = -1; create_index2dof = create_index2dof_; create_dof2loc = create_dof2loc; } ~DofT() {} int insert_dof(int e, int i, D Li); // update internal // structures // Helper functions to be used when the dofs have been set. // These do not modify the internal structure. int glob_dof(int e, int i); int glob_dof(D Lj); D glob_dof(int j); int size(); vector > glob2loc(int j); void clear(); }; \end{code} %% END CODE FROM DofT.h The typical way to represent most common degrees of freedom is as points. Hence, we have implemented a simple point class \emp{Ptv} and its comparison function. The header file (see also \emp{Ptv.h}) is as follows: %% BEGIN CODE FROM Ptv.h \begin{code} class Ptv { private: int dim; double* v; static double tol; public: Ptv(int size_); Ptv(int size_, double* v_); Ptv(const Ptv& p); Ptv(); virtual ~Ptv(); const int size() const; const double& operator [] (int i) const; double& operator [] (int i); Ptv& operator = (const Ptv& p); bool is_less(const Ptv& p) const; }; struct Ptv_is_less : public std::binary_function { bool operator() (const Ptv &lh, const Ptv &rh) const { return lh.is_less(rh); } }; std::ostream & operator<< ( std::ostream& os, const Ptv& p); \end{code} %% END CODE FROM Ptv.h The \emp{Ptv} class simply contain an array of doubles with variable size. The comparison function should check whether a point $x\in \R^n$ is less than $y \in \R^m$, which is not necessarily obvious how to do. For instance, which is the smallest of $x_1 = (1,0) \ \in \ \R^2$, $x_2 = (0,1) \ \in \R^2$ and $x_3 = (0,0,1) \ \in \R^3$ ? There are many possible ways to compare points. The convention we have chosen so far is to first check the size of the points. Hence, $x Ptvs; public: OrderedPtvSet(); OrderedPtvSet(const Ptv& p0, const Ptv& p1); OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2); OrderedPtvSet(const Ptv& p0, const Ptv& p1, const Ptv& p2, const Ptv& p3); virtual ~OrderedPtvSet(); void append(const Ptv& p); int size() const; const Ptv& operator [] (int i) const; Ptv& operator [] (int i); OrderedPtvSet& operator = (const OrderedPtvSet& p); bool less(const OrderedPtvSet& s) const; }; \end{code} %% END CODE FROM OrderedPtvSet.h syfi-1.0.0.dfsg.orig/doc/manual/fenicsmanual.cls0000644000175000017500000000634511672223006021424 0ustar johannrjohannr% Copyright (C) 2005 Anders Logg. % Licensed under the GNU GPL Version 2. % % First added: 2004-09-03 % Last changed: 2005-09-30 % % LaTeX document class for FEniCS manuals. %--- Set up class ---- \ProvidesClass{fenicsmanual}[2005/09/03 FEniCS manual] \NeedsTeXFormat{LaTeX2e} \LoadClass[12pt,twoside]{book} %--- Load packages --- \RequirePackage{graphicx} \RequirePackage{psfrag} \RequirePackage{fancyhdr} \RequirePackage{fancybox} \RequirePackage{fancyvrb} \RequirePackage{sectsty} \RequirePackage{amsmath} \RequirePackage{amssymb} \RequirePackage{makeidx} \RequirePackage{url} \RequirePackage[latin1]{inputenc} \RequirePackage[colorlinks]{hyperref} %--- Misc options --- \setlength{\parindent}{0pt} \setlength{\parskip}{12pt} \allsectionsfont{\sffamily} \makeindex %--- Remove header and footer from blank pages --- \let\origdoublepage\cleardoublepage \newcommand{\clearemptydoublepage}{% \clearpage {\pagestyle{empty}\origdoublepage}% } \let\cleardoublepage\clearemptydoublepage %--- Print index at end of document --- \AtEndDocument{\cleardoublepage\printindex} %--- Variables --- \newcommand{\@fenicstitle}{} \newcommand{\fenicstitle}[1]{\renewcommand{\@fenicstitle}{#1}} \newcommand{\@fenicsauthor}{} \newcommand{\fenicsauthor}[1]{\renewcommand{\@fenicsauthor}{#1}} \newcommand{\@fenicsimage}{\vspace{8cm}} \newcommand{\fenicsimage}[1]{\renewcommand{\@fenicsimage}{ \begin{center} \includegraphics[height=8cm]{#1} \end{center}}} \newcommand{\@fenicspackage}{} \newcommand{\@fenicspackagett}{} \newcommand{\fenicspackage}[2]{\renewcommand{\@fenicspackage}{#1}\renewcommand{\@fenicspackagett}{#2}} \newcommand{\package}{\@fenicspackage} \newcommand{\packagett}{\@fenicspackagett} %--- Commands --- \renewcommand{\maketitle}{ \lhead{\textsf{\textbf{\@fenicstitle}}} \rhead{\textsf{\@fenicsauthor}} \pagestyle{fancy} \renewcommand{\footrulewidth}{2pt} \renewcommand{\headrulewidth}{2pt} \thispagestyle{empty} \Large\textsf{\textbf{\@fenicstitle}} \\ \vspace{-0.5cm} \hrule height 2pt \hfill\large\textsf{\today} \vspace{3cm} \@fenicsimage \vfill\large\textsf{\textbf{\@fenicsauthor}} \\ \hrule height 2pt \hfill\large\texttt{www.fenics.org} \newpage \null\vfill \normalsize Visit \texttt{http://www.fenics.org/} for the latest version of this manual. \\ Send comments and suggestions to \texttt{\@fenicspackagett{}-dev@fenics.org}. \thispagestyle{empty} \cleardoublepage \tableofcontents} \newcommand{\fenics}{\textbf{\textsf{\normalsize{FE}\Large{ni}\normalsize{CS}}}} \newcommand{\dolfin}{\textbf{\textsf{DOLFIN}}} \newcommand{\ffc}{\textbf{\textsf{FFC}}} \newcommand{\fiat}{\textbf{\textsf{FIAT}}} \newcommand{\fixme}[1]{\ \\ \begin{tabular}{||p{\textwidth}||}\hline\rm\textbf{FIXME:}\rm #1 \\ \hline\end{tabular} \\} \newcommand{\devnote}[1]{$\blacktriangleright$ \emph{Developer's note:} #1} %--- Environments --- \DefineVerbatimEnvironment{code}{Verbatim}{frame=single,rulecolor=\color{blue}} \DefineVerbatimEnvironment{macrocode}{Verbatim}{commandchars=\\\{\},frame=single,rulecolor=\color{blue}} %--- Macros --- \newcommand{\dx}{\, \mathrm{d}x} \newcommand{\dX}{\, \mathrm{d}X} \newcommand{\ds}{\, \mathrm{d}s} \newcommand{\dS}{\, \mathrm{d}S} \newcommand{\R}{\mathbb{R}} syfi-1.0.0.dfsg.orig/doc/manual/ttname.sty0000644000175000017500000000276111672223006020303 0ustar johannrjohannr% A package for typesetting long names (of files, e-mail addresses, % lisp-functions, etc) while allowing breaking (at `/', `.', `-', % etc). % % Based on a similar package by Donald Arsenau (asnd@erich.triumf.ca) % and Eric Eide (eeide@jaguar.cs.utah.edu). % Load style only once. \@ifundefined{ttemail}{}{\endinput} % Introduce another language, one without any hyphenation patterns: \newlanguage \ttname@lang % First, define the simple \ttname: \DeclareRobustCommand{\ttname}[1]{{\ttfamily \language\ttname@lang \def \-{\discretionary{\textrm{-}}{}{}}% #1}} % Then define \ttfilename which allows breaking after `/': \DeclareRobustCommand{\ttfilename}[1]{{\ttfamily \language\ttname@lang \@tempcnta = \hyphenchar\font \hyphenchar\font = `/ {\def \-{\discretionary{\textrm{-}}{}{}}% \def \nb/{\mbox{/}}% \@ifnextchar/{\nb}{}#1}% \hyphenchar\font = \@tempcnta}} % Then define \ttemail which allows breaking after `.': \DeclareRobustCommand{\ttemail}[1]{{\ttfamily \language\ttname@lang \@tempcnta = \hyphenchar\font \hyphenchar\font = `. {\def \-{\discretionary{\textrm{-}}{}{}}% \def \nb.{\mbox{.}}% \@ifnextchar.{\nb}{}#1}% \hyphenchar\font = \@tempcnta}} % Then define \ttlispname which allows breaking after `-': \DeclareRobustCommand{\ttlispname}[1]{{\ttfamily \language\ttname@lang \@tempcnta = \hyphenchar\font \hyphenchar\font = `- {\def \-{\discretionary{\textrm{-}}{}{}}% \def \nb-{\mbox{-}}% \@ifnextchar-{\nb}{}#1}% \hyphenchar\font = \@tempcnta}} syfi-1.0.0.dfsg.orig/etc/0000755000175000017500000000000011674103626015004 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/etc/maketarball.sh0000755000175000017500000000061111672223006017611 0ustar johannrjohannr#!/bin/sh SYFI_VERSION=0.6.2 rm -f syfi-$SYFI_VERSION.tar.gz PPWD=$PWD cd .. rm dorsal_build scons -c cd demo python cleanall.py cd .. cd .. cp -r fenics-syfi syfi-$SYFI_VERSION files=`find syfi-$SYFI_VERSION -type f| grep -v bzr` #echo $files tar -cf syfi-$SYFI_VERSION.tar $files gzip syfi-$SYFI_VERSION.tar ls -s syfi-$SYFI_VERSION.tar.gz cp syfi-$SYFI_VERSION.tar.gz $PPWD syfi-1.0.0.dfsg.orig/etc/syfi-install0000644000175000017500000000437211672223006017344 0ustar johannrjohannr#!/bin/bash echo "Example script for installing syfi." echo "Notice that the versions of SWIG, CLN, GiNaC, swiginac, mercurial are" echo "not necessarily the newest" # default installation path, modify PREFIX # if it is not appropriate PREFIX=$HOME/local # set some enviroment variables. # .bashrc must be modified accordingly afterwards export PATH=$PREFIX/bin:$PATH export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:$PREFIX/lib VERSION=`python -c 'import sys; print sys.version[:3]'` export PYTHONPATH=$PYTHONPATH:$PREFIX/lib:$PREFIX/lib/python$VERSION/site-packages mkdir -p $PREFIX/src cd $PREFIX/src #SWIG lwp-download http://prdownloads.sourceforge.net/swig/swig-1.3.31.tar.gz tar xzvf swig-1.3.31.tar.gz cd swig-1.3.31 ./configure --prefix=$PREFIX make make install cd .. # CLN lwp-download ftp://ftpthep.physik.uni-mainz.de/pub/gnu/cln-1.1.13.tar.bz2 bunzip2 cln-1.1.13.tar.bz2 tar xvf cln-1.1.13.tar cd cln-1.1.13 ./configure --prefix=$PREFIX make make install cd .. # GiNaC lwp-download http://www.ginac.de/ginac-1.3.7.tar.bz2 bunzip2 ginac-1.3.7.tar.bz2 tar xvf ginac-1.3.7.tar cd ginac-1.3.7 ./configure --prefix=$PREFIX make make install cd .. # swiginac lwp-download http://download.berlios.de/swiginac/swiginac-0.9.5.tgz gunzip swiginac-0.9.5.tgz tar xvf swiginac-0.9.5.tar cd swiginac-0.9.5 python setup.py build python setup.py install --prefix=$PREFIX cd .. # mercurial lwp-download http://www.selenic.com/mercurial/release/mercurial-0.9.3.tar.gz tar -xzf mercurial-0.9.3.tar.gz cd mercurial-0.9.3 python setup.py install --prefix=$PREFIX cd .. # SyFi hg clone http://www.fenics.org/hg/syfi cd syfi ./configure --prefix=$PREFIX make make install cd .. echo "" echo "" echo 'Put the following lines in your .bashrc file (if you do not have them already).' echo "" echo "" echo "PREFIX=$PREFIX" echo 'export PATH=\$PATH:$PREFIX/bin' echo 'export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:$PREFIX/lib' echo "VERSION=`python -c 'import sys; print sys.version[:3]'`" echo 'export PYTHONPATH=$PYTHONPATH:$PREFIX/lib:$PREFIX/lib/python$VERSION/site-packages' echo "" echo "" echo "" echo "" echo "Example script for installing syfi." echo "Notice that the versions of SWIG, CLN, GiNaC, swiginac, mercurial are" echo "not necessarily the newest" syfi-1.0.0.dfsg.orig/INSTALL0000644000175000017500000000205211672223006015252 0ustar johannrjohannr(The installation notes are currently very brief. In case of problems contact the authors through syfi@lists.launchpad.net.) SyFi depends on: - GiNaC (http://www.ginac.de) - swiginac (http://swiginac.berlios.de) - UFC (http://www.launchpad.net/ufc) - UFL (http://www.launchpad.net/ufl) Building and installing SyFi is done with CMake. Installation is typically done as cmake . make install or cmake . -DCMAKE_INSTALL_PREFIX:PATH= make install You might need to source the syfi.conf file eg. put the following in your .bashrc file . /syfi.conf If you wish to install locally in the current source tree, run ./cmake.local If this does not work, GiNaC is probably not properly installed on you system. Check if you have the pkg-config file 'ginac.pc' somewhere in your pkg-config path (PKG_CONFIG_PATH). Check also that the libraries listed by 'pkg-config --libs ginac' really exist. On Debian systems we have experienced that these libraries do not exist, or are in packages that the ginac packages do not depend on. syfi-1.0.0.dfsg.orig/ChangeLog0000644000175000017500000000207411672223006015777 0ustar johannrjohannr0.1 The initial release of SyFi. Only Lagrangian elements and element matrices for the Poisson problem has been implemented (in a nice way) so far. 0.2 Added Bernstein polynomials, the Crouzeix-Raviart element, the Raviart-Thomas element, Python support and the computation of the Jacobian of a nonlinear convection diffusion problem based on symbolic differentiation. 0.3 Added Legendre polynomials, the Hermite and the Nedelec elements. In addition some code generation examples for DOLFIN and Diffpack are made. 0.4 Added Nedelec element of second kind and Arnold-Falk-Winther element with weakly imposed symmetry in 3D. The code generation tools have been made UFC compliant. 0.5 First release of SFC, the SyFi Form Compiler. 0.5.1 Updated with many examples demostrating the use of SFC and DOLFIN. 0.6.0 Rewritten SFC based on UFL. 0.6.1 Updated SFC for UFL 0.3. Updated SyFi for GiNaC 1.5. Some cleanup in demo directory. 1.0-beta Change build system to CMake. Updated SyFi for GiNaC 1.6. Updated SFC for UFL 1.0-beta2 Updated for DOLFIN 1.0-beta. 1.0 Some bug fixes. syfi-1.0.0.dfsg.orig/cmake/0000755000175000017500000000000011674103625015310 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/cmake/modules/0000755000175000017500000000000011674103625016760 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/cmake/modules/FindNumPy.cmake0000644000175000017500000000123611672223006021627 0ustar johannrjohannr# - Try to find NumPy # Once done this will define # # NUMPY_FOUND - system has NumPy # NUMPY_INCLUDE_DIRS - include directories for NumPy if (NOT NUMPY_INCLUDE_DIRS) execute_process( COMMAND ${PYTHON_EXECUTABLE} -c "import numpy; print numpy.get_include()" OUTPUT_VARIABLE NUMPY_INCLUDE_DIR OUTPUT_STRIP_TRAILING_WHITESPACE) if (EXISTS ${NUMPY_INCLUDE_DIR}) set(NUMPY_INCLUDE_DIRS ${NUMPY_INCLUDE_DIR} CACHE STRING "NumPy include path") mark_as_advanced(NUMPY_INCLUDE_DIRS) endif() endif() # Standard package handling include(FindPackageHandleStandardArgs) find_package_handle_standard_args(NumPy DEFAULT_MSG NUMPY_INCLUDE_DIRS) syfi-1.0.0.dfsg.orig/cmake/modules/FindCLN.cmake0000644000175000017500000000142411672223006021172 0ustar johannrjohannr# - Try to find CLN # Once done this will define # # CLN_FOUND - System has CLN # CLN_INCLUDE_DIRS - The CLN include directories # CLN_LIBRARIES - The libraries needed to use CLN # CLN_VERSION - CLN version string (MAJOR.MINOR.MICRO) include(FindPkgConfig) pkg_check_modules(PC_CLN cln) set(CLN_VERSION ${PC_CLN_VERSION}) find_path(CLN_INCLUDE_DIR cln/cln.h HINTS ${PC_CLN_INCLUDEDIR} ${CLN_DIR}/include $ENV{CLN_DIR}/include) find_library(CLN_LIBRARY cln HINTS ${PC_CLN_LIBDIR} ${CLN_DIR}/lib $ENV{CLN_DIR}/lib) set(CLN_LIBRARIES ${CLN_LIBRARY}) set(CLN_INCLUDE_DIRS ${CLN_INCLUDE_DIR}) include(FindPackageHandleStandardArgs) find_package_handle_standard_args(CLN DEFAULT_MSG CLN_LIBRARY CLN_INCLUDE_DIR) mark_as_advanced(CLN_INCLUDE_DIR CLN_LIBRARY) syfi-1.0.0.dfsg.orig/cmake/modules/FindGiNaC.cmake0000644000175000017500000000172011672223006021476 0ustar johannrjohannr# - Try to find GiNaC # Once done this will define # # GINAC_FOUND - System has GiNaC # GINAC_INCLUDE_DIRS - The GiNaC include directories # GINAC_LIBRARIES - The libraries needed to use GiNaC # GINAC_VERSION - GiNaC version string (MAJOR.MINOR.MICRO) include(FindPkgConfig) pkg_check_modules(PC_GINAC ginac>=1.4.1) set(GINAC_VERSION ${PC_GINAC_VERSION}) find_path(GINAC_INCLUDE_DIR ginac/ginac.h HINTS ${PC_GINAC_INCLUDEDIR} ${GINAC_DIR}/include $ENV{GINAC_DIR}/include) find_library(GINAC_LIBRARY ginac HINTS ${PC_GINAC_LIBDIR} ${GINAC_DIR}/lib $ENV{GINAC_DIR}/lib) # GiNaC requires CLN if (NOT CLN_FOUND) find_package(CLN REQUIRED) endif() set(GINAC_LIBRARIES ${GINAC_LIBRARY} ${CLN_LIBRARIES}) set(GINAC_INCLUDE_DIRS ${GINAC_INCLUDE_DIR} ${CLN_INCLUDE_DIRS}) include(FindPackageHandleStandardArgs) find_package_handle_standard_args(GiNaC DEFAULT_MSG GINAC_LIBRARY GINAC_INCLUDE_DIR) mark_as_advanced(GINAC_INCLUDE_DIR GINAC_LIBRARY) syfi-1.0.0.dfsg.orig/cmake/templates/0000755000175000017500000000000011674103625017306 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/cmake/templates/syfi-config.cmake.in0000644000175000017500000000165211672223006023130 0ustar johannrjohannr# - Build details for SyFi # # This file has been automatically generated. # Package found set(SYFI_FOUND TRUE) # Compilers set(SYFI_CXX_COMPILER "@CMAKE_CXX_COMPILER@") # Compiler defintions set(SYFI_CXX_DEFINITIONS "@SYFI_CXX_DEFINITIONS@") # Compiler flags set(SYFI_CXX_FLAGS "@CMAKE_CXX_FLAGS@") # Include directories set(SYFI_INCLUDE_DIRS "@CMAKE_INSTALL_PREFIX@/@SYFI_INCLUDE_DIR@") # Third party include directories set(SYFI_3RD_PARTY_INCLUDE_DIRS "@SYFI_INCLUDE_DIRECTORIES@") # SyFi library set(SYFI_LIBRARIES "@SYFI_LIBRARY@") # Third-party library directories set(SYIF_3RD_PARTY_LIBRARY_DIR "@SYFI_TARGET_LINK_LIBRARIES_DIRS@") # Third-party libraries set(SYFI_3RD_PARTY_LIBRARIES "@SYFI_TARGET_LINK_LIBRARIES@") # Version set(SYFI_VERSION_MAJOR "@SYFILIB_MAJOR_VERSION@") set(SYFI_VERSION_MINOR "@SYFILIB_MINOR_VERSION@") set(SYFI_VERSION_MICRO "@SYFILIB_MICRO_VERSION@") set(SYFI_VERSION_STR "@SYFILIB_VERSION@") syfi-1.0.0.dfsg.orig/cmake/templates/cmake_uninstall.cmake.in0000644000175000017500000000143111672223006024057 0ustar johannrjohannrif (NOT EXISTS "@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt") message(FATAL_ERROR "Cannot find install manifest: \"@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt\"") endif() file(READ "@CMAKE_CURRENT_BINARY_DIR@/install_manifest.txt" files) string(REGEX REPLACE "\n" ";" files "${files}") foreach (file ${files}) message(STATUS "Uninstalling \"$ENV{DESTDIR}${file}\"") if (EXISTS "$ENV{DESTDIR}${file}") exec_program( "@CMAKE_COMMAND@" ARGS "-E remove \"$ENV{DESTDIR}${file}\"" OUTPUT_VARIABLE rm_out RETURN_VALUE rm_retval ) if (NOT "${rm_retval}" STREQUAL 0) message(FATAL_ERROR "Problem when removing \"$ENV{DESTDIR}${file}\"") endif() else() message(STATUS "File \"$ENV{DESTDIR}${file}\" does not exist.") endif() endforeach() syfi-1.0.0.dfsg.orig/cmake/templates/syfi.pc.in0000644000175000017500000000102511672223006021201 0ustar johannrjohannr# pkg-config configuration for SyFi prefix=@CMAKE_INSTALL_PREFIX@ exec_prefix=@CMAKE_INSTALL_PREFIX@ libdir=${exec_prefix}/@SYFI_LIB_DIR@ includedir=${prefix}/@SYFI_INCLIDE_DIR@ compiler=@CMAKE_CXX_COMPILER@ definitions=@SYFI_DEFINITIONS@ swigcflags=@PYTHON_CPPFLAGS@ extlibs=@SYFI_EXT_LIBS@ Name: SyFi Description: C++ library for symbolic calculations Version: @SYFILIB_VERSION@ Requires: @PKG_REQUIRES@ Conflicts: Libs: @PKG_LINKFLAGS@ -L${libdir} -lsyfi Cflags: @PKG_CXXFLAGS@ @PKG_DEFINITIONS@ -I${includedir} @PKG_INCLUDES@ syfi-1.0.0.dfsg.orig/cmake/templates/syfi.conf.in0000644000175000017500000000075511672223006021535 0ustar johannrjohannr# Helper file for setting non-default SyFi environment variables # Common Unix variables export LD_LIBRARY_PATH=@CMAKE_INSTALL_PREFIX@/@SYFI_LIB_DIR@:$LD_LIBRARY_PATH export PATH=@CMAKE_INSTALL_PREFIX@/@SYFI_BIN_DIR@:$PATH export PKG_CONFIG_PATH=@CMAKE_INSTALL_PREFIX@/@SYFI_PKGCONFIG_DIR@:$PKG_CONFIG_PATH export PYTHONPATH=@CMAKE_INSTALL_PREFIX@/@SYFI_PYTHON_MODULE_DIR@:@CMAKE_INSTALL_PREFIX@/@SYFI_PYTHON_EXT_DIR@:$PYTHONPATH export MANPATH=@CMAKE_INSTALL_PREFIX@/@SYFI_MAN_DIR@:$MANPATH syfi-1.0.0.dfsg.orig/demo/0000755000175000017500000000000011674103625015154 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/NonLinearPoisson/0000755000175000017500000000000011674103625020414 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/NonLinearPoisson/python/0000755000175000017500000000000011672223006021727 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/NonLinearPoisson/python/Makefile0000644000175000017500000000011111672223006023360 0ustar johannrjohannr default: echo "do nothing" clean: rm -rf *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/NonLinearPoisson/python/manufactored_solution.py0000644000175000017500000000023311672223006026703 0ustar johannrjohannr from swiginac import * x,y = symbol('x'), symbol('y') P = 4 u = (0.5*(x + y))**2 F = u**(P-1) - diff(diff(u,x),x) - diff(diff(u,x),x) print F syfi-1.0.0.dfsg.orig/demo/NonLinearPoisson/python/demo.py0000644000175000017500000000215711672223006023232 0ustar johannrjohannr from dolfin import * parameters["form_compiler"]["name"]= "sfc" class Source(Expression): def eval(self, values, x): values[0] = -1.0+((0.5)*x[0]+(0.5)*x[1])**6 class Solution(Expression): def eval(self, values, x): values[0] = (0.5*(x[0] + x[1]))**2 class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 80 P = 4 mesh = UnitSquare(N, N) # Function spaces X = FunctionSpace(mesh, 'CG', 1) # Unknown function U = Function(X) # Basis functions v = TestFunction(X) u = TrialFunction(X) # Source term source = Source(element=X.ufl_element()) # Forms L = inner(grad(U),grad(U))*dx + U**P*dx + source*U*dx F = derivative(L, U, v) # Analytical solution solution = Solution(element=X.ufl_element()) sol = project(solution, X) # Solve nonlinear variational problem dirichlet_boundary = DirichletBoundary() bc = DirichletBC(X, solution, dirichlet_boundary) solve(F==0, U, bc) # Write solution to file file = File("u.pvd") file << U file = File("u0.pvd") file << sol # Plot and wait plot(sol) plot(U) interactive() syfi-1.0.0.dfsg.orig/demo/BratuProblem/0000755000175000017500000000000011674103625017552 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/BratuProblem/python/0000755000175000017500000000000011672223006021065 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/BratuProblem/python/Makefile0000644000175000017500000000010711672223006022523 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/BratuProblem/python/demo.py0000644000175000017500000000221111672223006022357 0ustar johannrjohannr import math import ufl from dolfin import * parameters["form_compiler"]["name"]= "sfc" class Source(Expression): def eval(self, values, x): values[0] = -2 + math.exp(x[0]*x[0]) class Solution(Expression): def eval(self, values, x): values[0] = x[0]*x[0] class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 80 mesh = UnitSquare(N,N) # Function spaces X = FunctionSpace(mesh, 'CG', 1) # Unknown function U = Function(X) # Basis functions v = TestFunction(X) u = TrialFunction(X) # Source term source = Source(element=X.ufl_element()) s = Function(X) s.interpolate(source) # Forms F = inner(grad(U),grad(v))*dx + exp(U)*v*dx J = derivative(F, U, u) # Analytical solution solution = Solution(element=X.ufl_element()) sol = project(solution, X) # Solve nonlinear variational problem dirichlet_boundary = DirichletBoundary() bc = DirichletBC(X, sol, dirichlet_boundary) solve(F == 0, U, bc, J=J) # Write solution to file file = File("u.pvd") file << U file = File("sol.pvd") file << sol # Plot and wait plot(sol) plot(U) interactive() syfi-1.0.0.dfsg.orig/demo/ProjectionVector/0000755000175000017500000000000011674103625020453 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionVector/cpp/0000755000175000017500000000000011672223006021227 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionVector/cpp/Makefile0000644000175000017500000000076611672223006022700 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 FORM=ProjectionVector demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/ProjectionVector/cpp/main.cpp0000644000175000017500000000370211672223006022661 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes a projection of a function // between two vector finite element spaces. #include #include "generated_code/ProjectionVector.h" using namespace dolfin; using namespace ProjectionVector; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: Source() : Expression(2) {} void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; //values[0] = cos(2*DOLFIN_PI*dx*dx); //values[1] = cos(2*DOLFIN_PI*dy*dy); values[0] = x[0] + x[1]; values[1] = x[0] + x[1]; } }; int main(int argc, char ** argv) { UnitSquare mesh(10, 10); BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); Weight c; Source f; Function u(V); BilinearForm a(V, V); LinearForm L(V); a.c = c; L.f = f; solve(a == L, u); // Interpolate f onto the discrete space V Source f2; Function fi(V); fi.interpolate(f2); File u_file("u.pvd"); u_file << u; File f_file("f.pvd"); f_file << fi; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/ProjectionVector/cpp/ProjectionVector.ufl0000644000175000017500000000044711672223006025243 0ustar johannrjohannr polygon = "triangle" element0 = FiniteElement("DG", polygon, 0) element1 = VectorElement("CG", polygon, 1) element2 = VectorElement("CG", polygon, 2) u = TrialFunction(element1) v = TestFunction(element1) c = Coefficient(element0) f = Coefficient(element2) a = c*dot(u,v)*dx L = dot(f,v)*dx syfi-1.0.0.dfsg.orig/demo/ProjectionVector/cpp/CMakeLists.txt0000644000175000017500000000205111672223006023765 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(ProjectionVector) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/README0000644000175000017500000000070311672223006016026 0ustar johannrjohannr This directory contains a host of demo applications using SFC together with DOLFIN to solve partial differential equations. Feel free to send additional demos to syfi-dev@fenics.org. Note that this version of SFC depends on UFL 0.3, which does not work with PyDOLFIN from FEniCS 2009-04. Use DOLFIN in C++ or try the development version of PyDOLFIN. Some of the demos are only available in Python and require the development version of PyDOLFIN. syfi-1.0.0.dfsg.orig/demo/cleanall.py0000755000175000017500000000075311672223006017303 0ustar johannrjohannr#!/usr/bin/env python import os from glob import glob for f in glob("*"): if os.path.isdir(f): os.chdir(f) if os.path.isdir("cpp"): os.chdir("cpp") if os.path.exists("Makefile"): os.system("make clean") os.chdir("..") if os.path.isdir("python"): os.chdir("python") if os.path.exists("Makefile"): os.system("make clean") os.chdir("..") os.chdir("..") syfi-1.0.0.dfsg.orig/demo/Projection/0000755000175000017500000000000011674103625017270 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Projection/cpp/0000755000175000017500000000000011672223006020044 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Projection/cpp/Makefile0000644000175000017500000000104511672223006021504 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 FORM=Projection demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & paraview --data=build/f.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Projection/cpp/main.cpp0000644000175000017500000000370511672223006021501 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes a projection of a function // between two scalar finite element spaces. #include #include "generated_code/Projection.h" using namespace dolfin; using namespace Projection; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; //values[0] = 500.0*exp(-(dx*dx + dy*dy)/0.02); values[0] = x[0] + x[1]; } }; int main(int argc, char ** argv) { // Geometry UnitSquare mesh(10, 10); // Function spaces BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); // Functions Weight c; Source f; Function u(V); // Forms BilinearForm a(V, V); LinearForm L(V); // Form coefficients a.c = c; L.f = f; solve(a == L, u); // Interpolate f onto the discrete space V Source f2; Function fi(V); fi.interpolate(f2); // Write u and f to file File u_file("u.pvd"); u_file << u; File f_file("f.pvd"); f_file << fi; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/Projection/cpp/Projection.ufl0000644000175000017500000000041711672223006022672 0ustar johannrjohannr cell = triangle element0 = FiniteElement("DG", cell, 0) element1 = FiniteElement("CG", cell, 1) element2 = FiniteElement("CG", cell, 2) u = TrialFunction(element1) v = TestFunction(element1) c = Coefficient(element0) f = Coefficient(element2) a = c*u*v*dx L = f*v*dx syfi-1.0.0.dfsg.orig/demo/Projection/cpp/CMakeLists.txt0000644000175000017500000000204311672223006022603 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Projection) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/0000755000175000017500000000000011674103625020662 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/cpp/0000755000175000017500000000000011672223006021436 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/cpp/Makefile0000644000175000017500000000103311672223006023073 0ustar johannrjohannr #FLAGS=--integration-method=symbolic FLAGS=--integration-method=quadrature --integration-order=5 --safemode=0 FORM=HyperElasticitySVK demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/cpp/main.cpp0000644000175000017500000001230511672223006023067 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves a hyperelasticity problem // in 3D using the Saint-Vernant-Kirchoff model. #include #include #include #include "generated_code/HyperElasticitySVK.h" using namespace dolfin; using namespace HyperElasticitySVK; // ---------------------------------------- Functions class BodyForce: public Expression { public: BodyForce() : Expression(3) {} void eval(Array& values, const Array& x) const { const double dx = x[0] - 0.5; const double dy = x[1] - 0.5; const double dz = x[2] - 0.5; values[0] = 0.0; values[1] = 0.0; values[2] = 0.0; } }; class BoundaryPressure: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 0.0; } }; // Dirichlet boundary condition for rotation at right end class Rotation : public Expression { public: Rotation() : Expression(3) {} void eval(Array& values, const Array& x) const { // Center of rotation double y0 = 0.5; double z0 = 0.5; // Angle of rotation (60 degrees) double theta = 0.5236*2; // New coordinates double y = y0 + (x[1] - y0)*cos(theta) - (x[2] - z0)*sin(theta); double z = z0 + (x[1] - y0)*sin(theta) + (x[2] - z0)*cos(theta); // Clamp at right end values[0] = 0.0; values[1] = y - x[1]; values[2] = z - x[2]; } }; // ---------------------------------------- Subdomains // Sub domain for clamp at left end class Left : public SubDomain { bool inside(const Array& x, bool on_boundary) const { return on_boundary && x[0] < 0.0 + DOLFIN_EPS; } }; // Sub domain for rotation at right end class Right : public SubDomain { bool inside(const Array& x, bool on_boundary) const { return on_boundary && x[0] > 1.0 - DOLFIN_EPS; } }; class EntireBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return on_boundary; } }; // ---------------------------------------- Main program int main(int argc, char**argv) { // Geometry info("Mesh"); unsigned n = 12; UnitCube mesh(n, n, n); // Function spaces info("Function spaces"); Form_a_F::TestSpace V(mesh); CoefficientSpace_sigma_0 P(mesh); CoefficientSpace_mu C(mesh); // Coefficient functions info("Functions"); // Displacement at current and two previous timesteps Function u(V); u.vector().zero(); // External forces BodyForce g; BoundaryPressure sigma_0; // BCs Constant uleft(3, 0.0, 0.0); Rotation uright; // Material parameters Constant mu(4.0); Constant lamda(6.0); // Forms info("Forms"); Form_a_f f(mesh); f.u = u; f.mu = mu; f.lamda = lamda; Form_a_F L(V); L.u = u; L.g = g; L.sigma_0 = sigma_0; L.mu = mu; L.lamda = lamda; Form_a_J a(V, V); a.u = u; a.sigma_0 = sigma_0; a.mu = mu; a.lamda = lamda; // Setup boundary conditions info("Boundary conditions"); // Dirichlet boundary conditions Left left_boundary; DirichletBC leftbc(V, uleft, left_boundary); Right right_boundary; DirichletBC rightbc(V, uright, right_boundary); std::vector bcs; bcs.push_back(&leftbc); bcs.push_back(&rightbc); // Create variational problem (a, L, bcs, cell_domains, exterior_facet_domains, interior_facet_domains, nonlinear) // Solve! info("Solving"); solve(a==L, u, bcs); // Postprocessing info("Postprocessing"); // Compute internal energy for u and exact solution double f_value = assemble(f); // Compute F at u for verification Vector F; assemble(F, L); // Print limits of u cout << endl; cout << "==========================" << endl; cout << "Norm of u_h = " << u.vector().norm("l2") << endl; cout << "Min of u_h = " << u.vector().min() << endl; cout << "Max of u_h = " << u.vector().max() << endl; cout << "==========================" << endl; cout << endl; cout << "==========================" << endl; cout << "f(u) = " << f_value << endl; cout << "Norm of F = " << F.norm("l2") << endl; cout << "Min of F = " << F.min() << endl; cout << "Max of F = " << F.max() << endl; cout << "==========================" << endl; // Write displacement to file info("Writing to file"); File ufile("u.pvd"); ufile << u; //plot(w); info("Done!"); } syfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/cpp/HyperElasticitySVK.ufl0000644000175000017500000000213411672223006025654 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-16 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement u = Coefficient(u_element) # External forces g = Coefficient(u_element) sigma_0 = Coefficient(p_element) # Material parameters lamda = Constant(cell) mu = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T Finv = inv(F) J = det(F) # Right Cauchy-Green deformation tensor C = F.T*F # Green strain tensor E = (C-I)/2 E = variable(E) # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff constitutive law psi = lamda/2 * tr(E)**2 + mu * tr(E*E) # First Piola-Kirchoff stress tensor P = F*diff(psi, E) # Energy functional a_f = psi*dx # Residual equation a_F = inner(P, grad(v).T)*dx \ - dot(g, v)*dx \ - dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) forms = [a_f, a_F, a_J] syfi-1.0.0.dfsg.orig/demo/HyperElasticitySVK/cpp/CMakeLists.txt0000644000175000017500000000216411672223006024201 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(HyperElasticitySVK) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Code generation is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Enable no optimization set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -g -O0") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/0000755000175000017500000000000011674103625022651 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/cpp/0000755000175000017500000000000011672223006023425 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/cpp/Makefile0000644000175000017500000000104411672223006025064 0ustar johannrjohannr #FLAGS=--integration-method=symbolic FLAGS=--integration-method=quadrature --integration-order=5 --safemode=0 FORM=HyperElasticityMooneyRivlin demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/cpp/main.cpp0000644000175000017500000000615111672223006025060 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves a hyperelasticity problem // in 3D using the Mooney-Rivlin model. #include #include #include #include "generated_code/HyperElasticityMooneyRivlin.h" using namespace dolfin; using namespace HyperElasticityMooneyRivlin; // ---------------------------------------- Functions class Displacement: public Expression { public: Displacement() : Expression(3) {} void eval(Array& values, const Array& x) const { const double a = -0.1; const double b = 0.05; double dy = x[1]-0.5; double dz = x[2]-0.5; values[0] = x[0]*a; values[1] = dy*b; values[2] = dz*b; } }; // ---------------------------------------- Subdomains class DirichletBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return on_boundary && (x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS); //return on_boundary; } }; // ---------------------------------------- Main program int main(int argc, char**argv) { // Geometry info("Mesh"); unsigned n = 5; UnitCube mesh(n, n, n); // Function spaces info("Function spaces"); Form_a::TestSpace V(mesh); CoefficientSpace_c1 C(mesh); // Coefficient functions info("Functions"); // Displacement Function u(V); u.vector().zero(); // Material parameters Constant c1(3.0); Constant c2(3.0); Constant c3(100.0); // Dirichlet BC function Displacement ubc; // Forms info("Forms"); Form_M M(mesh); M.u = u; M.c1 = c1; M.c2 = c2; M.c3 = c3; Form_L L(V); L.u = u; L.c1 = c1; L.c2 = c2; L.c3 = c3; Form_a a(V, V); a.u = u; a.c1 = c1; a.c2 = c2; a.c3 = c3; // Setup boundary conditions info("Boundary conditions"); DirichletBoundary boundary; DirichletBC bc(V, ubc, boundary); // Compute integral of strain energy over domain, should be zero double energy = 0.0; energy = assemble(M); cout << "Energy before solve: " << energy << endl; // Solve! info("Solving"); solve(a==L, u, bc); // Compute integral of strain energy over domain energy = assemble(M); cout << "Energy after solve: " << energy << endl; // Write functions to file info("Writing to file"); File ufile("u.pvd"); ufile << u; //plot(u); info("Done!"); return 0; } syfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/cpp/HyperElasticityMooneyRivlin.ufl0000644000175000017500000000137311672223006031636 0ustar johannrjohannr# Form arguments cell = tetrahedron element = VectorElement("CG", cell, 2) V = TestFunction(element) U = TrialFunction(element) u = Coefficient(element) c1 = Constant(cell) c2 = Constant(cell) c3 = Constant(cell) # Right Cauchy-Green strain tensor C I = Identity(cell.d) F = I + grad(u).T C = variable(F.T*F) I_C = tr(C) II_C = (I_C**2 - tr(C*C))/2 III_C = det(C) # Modified invariants J = sqrt(III_C) J23 = III_C**(-1./3.) # J**(-2./3.) Im_C = J23 * I_C IIm_C = J23 * II_C # Mooney-Rivlin constitutive law psi = c1*(Im_C-3) + c2*(IIm_C-3) + c3*(J-1)**2 # Second Piola-Kirchoff stress tensor S = 2*diff(psi, C) # First Piola-Kirchoff stress tensor P = F*S # Weak forms M = psi*dx #L = inner(P, grad(V).T)*dx L = derivative(M, u, V) a = derivative(L, u, U) syfi-1.0.0.dfsg.orig/demo/HyperElasticityMooneyRivlin/cpp/CMakeLists.txt0000644000175000017500000000217511672223006026172 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(HyperElasticityMooneyRivlin) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Code generation is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Enable no optimization set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -g -O0") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/makeall.py0000755000175000017500000000113711672223006017133 0ustar johannrjohannr#!/usr/bin/env python import os, time from glob import glob skiplist = ("Elements",) times = [] for f in glob("*"): if f in skiplist: continue if os.path.isdir(f): os.chdir(f) if os.path.isdir("cpp"): os.chdir("cpp") if os.path.exists("Makefile"): t = -time.time() os.system("make") t += time.time() msg = "%8.1f seconds to make %s" % (t, f) times.append(msg) os.chdir("..") os.chdir("..") print print "="*80 print "Timing:" print "\n".join(times) syfi-1.0.0.dfsg.orig/demo/NonLinearVectorPoisson/0000755000175000017500000000000011674103625021577 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/NonLinearVectorPoisson/python/0000755000175000017500000000000011672223006023112 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/NonLinearVectorPoisson/python/Makefile0000644000175000017500000000010711672223006024550 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/NonLinearVectorPoisson/python/demo.py0000644000175000017500000000204211672223006024406 0ustar johannrjohannr from dolfin import * parameters["form_compiler"]["name"]= "sfc" class BoundaryFunction(Expression): def eval(self, values, x): values[0] = (0.5*(x[0] + x[1]))**2 values[1] = (1-0.5*(x[0] + x[1]))**2 def value_shape(self): return (2,) class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 80 P = 5 mesh = UnitSquare(N,N) # Function spaces V = VectorFunctionSpace(mesh, "CG", 1) # BoundaryFunction function U = Function(V) # Basis functions v = TestFunction(V) u = TrialFunction(V) # Forms L = inner(grad(U),grad(U))*dx + dot(U,U)**P*dx F = derivative(L, U, v) # Start vector boundary_function = BoundaryFunction(element=V.ufl_element()) x0 = project(boundary_function, V) # Solve nonlinear variational problem dirichlet_boundary = DirichletBoundary() bc = DirichletBC(V, boundary_function, dirichlet_boundary) solve(F==0, U, bc) # Write solution to file file = File("u.pvd") file << U # Plot and wait plot(U) interactive() syfi-1.0.0.dfsg.orig/demo/Poisson1D/0000755000175000017500000000000011674103625016773 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson1D/python/0000755000175000017500000000000011674103625020314 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson1D/python/Makefile0000644000175000017500000000010711672223006021744 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/Poisson1D/python/demo.py0000644000175000017500000000335711672223006021614 0ustar johannrjohannr"""This demo program solves Poisson's equation - div grad u(x) = f(x) on the unit interval with source f given by f(x) = 9*pi^2*sin(3*pi*x[0]) and boundary conditions given by u(x) = 0 for x = 0 du/dx = 0 for x = 1 """ # Copyright (C) 2007 Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-11-28 # Last changed: 2008-12-19 from dolfin import * parameters["form_compiler"]["name"] = "sfc" # Create mesh and function space mesh = UnitInterval(50) V = FunctionSpace(mesh, "CG", 1) # Sub domain for Dirichlet boundary condition class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return on_boundary and x[0] < DOLFIN_EPS # Define variational problem v = TestFunction(V) u = TrialFunction(V) f = Expression("9.0*pi*pi*sin(3.0*pi*x[0])") g = Expression("3.0*pi*cos(3.0*pi*x[0])") a = dot(grad(v), grad(u))*dx L = v*f*dx + v*g*ds # Define boundary condition u0 = Constant(0.0) bc = DirichletBC(V, u0, DirichletBoundary()) # Solve PDE and plot solution u = Function(V) solve(a==L, u, bc) # Save solution to file file = File("poisson.pvd") file << u # Plot solution plot(u) interactive() syfi-1.0.0.dfsg.orig/demo/Poisson1D/cpp/0000755000175000017500000000000011674103625017555 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson1D/cpp/Makefile0000644000175000017500000000077711672223006021222 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 FORM=Poisson1D demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Poisson1D/cpp/Poisson1D.ufl0000644000175000017500000000035611672223006022102 0ustar johannrjohannr cell = interval element = FiniteElement("CG", cell, 1) u = TrialFunction(element) v = TestFunction(element) c = Coefficient(element) f = Coefficient(element) g = Coefficient(element) a = c*dot(grad(u),grad(v))*dx L = -f*v*dx + g*v*ds syfi-1.0.0.dfsg.orig/demo/Poisson1D/cpp/main.cpp0000644000175000017500000000433411672223006021203 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves Poissons equation in 1D. #include #include "generated_code/Poisson1D.h" using namespace dolfin; using namespace Poisson1D; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; values[0] = 10.0; } }; class BoundarySource: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 10.0; } }; class BoundaryValue: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = x[0]; } }; class EntireBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS; } }; int main(int argc, char ** argv) { UnitInterval mesh(10); BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); CoefficientSpace_g G(mesh); BilinearForm a(V, V); LinearForm L(V); Weight c; Source f; BoundarySource g; BoundaryValue ubc; a.c = c; L.f = f; L.g = g; EntireBoundary boundary; DirichletBC bc(V, ubc, boundary); Function u(V); solve(a == L, u, bc); File ufile("u.pvd"); ufile << u; //plot(u); } syfi-1.0.0.dfsg.orig/demo/Poisson1D/cpp/CMakeLists.txt0000644000175000017500000000203711672223006022311 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Poisson1D) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Poisson2D/0000755000175000017500000000000011674103625016774 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson2D/python/0000755000175000017500000000000011674103625020315 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson2D/python/Makefile0000644000175000017500000000010711672223006021745 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/Poisson2D/python/demo.py0000644000175000017500000000353111672223006021607 0ustar johannrjohannr"""This demo program solves Poisson's equation - div grad u(x, y) = f(x, y) on the unit square with source f given by f(x, y) = 500*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02) and boundary conditions given by u(x, y) = 0 for x = 0 or x = 1 """ # Copyright (C) 2007-2008 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified to work with SFC by Kent-Andre Mardal. # # First added: 2007-08-16 # Last changed: 2008-12-13 from dolfin import * parameters["form_compiler"]["name"] = "sfc" # Create mesh and define function space mesh = UnitSquare(32, 32) V = FunctionSpace(mesh, "CG", 1) # Define Dirichlet boundary (x = 0 or x = 1) class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return x[0] < DOLFIN_EPS or x[0] > 1.0 - DOLFIN_EPS # Define boundary condition u0 = Constant(0.0, cell=V.cell()) bc = DirichletBC(V, u0, DirichletBoundary()) # Define variational problem v = TestFunction(V) u = TrialFunction(V) f = Function(V) f.interpolate(Expression("500.0 * exp(-(pow(x[0] - 0.5, 2) + pow(x[1] - 0.5, 2)) / 0.02)")) a = dot(grad(v), grad(u))*dx L = f*v*dx # Compute solution u = Function(V) solve(a==L, u, bc) # Save solution in VTK format file = File("poisson.pvd") file << u # Plot and wait plot(u) interactive() syfi-1.0.0.dfsg.orig/demo/Poisson2D/cpp/0000755000175000017500000000000011674103625017556 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson2D/cpp/Makefile0000644000175000017500000000100411672223006021203 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=15 FORM=Poisson demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Poisson2D/cpp/main.cpp0000644000175000017500000000441011672223006021177 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves Poissons equation in 2D. #include #include "generated_code/Poisson.h" using namespace dolfin; using namespace Poisson; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 25.0*exp(-(dx*dx + dy*dy)/0.02); } }; class BoundarySource: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 10.0; } }; class BoundaryValue: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = x[0] + x[1]; } }; class DirichletBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[1] < DOLFIN_EPS || x[1] > 1.0-DOLFIN_EPS; } }; int main() { UnitSquare mesh(30,30); BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); CoefficientSpace_g G(mesh); BilinearForm a(V, V); LinearForm L(V); Weight c; Source f; BoundarySource g; BoundaryValue ubc; a.c = c; L.f = f; L.g = g; DirichletBoundary boundary; DirichletBC bc(V, ubc, boundary); Function u(V); solve(a==L, u, bc); File ufile("u.pvd"); ufile << u; //plot(u); } syfi-1.0.0.dfsg.orig/demo/Poisson2D/cpp/Poisson.ufl0000644000175000017500000000035611672223006021716 0ustar johannrjohannr cell = triangle element = FiniteElement("CG", cell, 1) u = TrialFunction(element) v = TestFunction(element) c = Coefficient(element) f = Coefficient(element) g = Coefficient(element) a = c*dot(grad(u),grad(v))*dx L = -f*v*dx + g*v*ds syfi-1.0.0.dfsg.orig/demo/Poisson2D/cpp/CMakeLists.txt0000644000175000017500000000203711672223006022312 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Poisson2D) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Projection1D/0000755000175000017500000000000011674103625017455 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Projection1D/cpp/0000755000175000017500000000000011672223006020231 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Projection1D/cpp/Projection1D.ufl0000644000175000017500000000041711672223006023244 0ustar johannrjohannr cell = interval element0 = FiniteElement("DG", cell, 0) element1 = FiniteElement("CG", cell, 1) element2 = FiniteElement("CG", cell, 2) u = TrialFunction(element1) v = TestFunction(element1) c = Coefficient(element0) f = Coefficient(element2) a = c*u*v*dx L = f*v*dx syfi-1.0.0.dfsg.orig/demo/Projection1D/cpp/Makefile0000644000175000017500000000104711672223006021673 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=9 FORM=Projection1D demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & paraview --data=build/f.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Projection1D/cpp/main.cpp0000644000175000017500000000361611672223006021667 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes a projection in 1D. #include #include "generated_code/Projection1D.h" using namespace dolfin; using namespace Projection1D; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; values[0] = dx*dx; } }; int main() { // Geometry UnitInterval mesh(20); // Function spaces BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); // Functions Weight c; Source f; Function u(V); // Forms BilinearForm a(V, V); LinearForm L(V); // Form coefficients a.c = c; L.f = f; u = Function(V); solve(a == L, u); // Write solution to file File u_file("u.pvd"); u_file << u; // Interpolate f onto the discrete space V Source source; Function finterpolated(V); finterpolated.interpolate(source); // Write interpolated solution to file File f_file("f.pvd"); f_file << finterpolated; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/Projection1D/cpp/CMakeLists.txt0000644000175000017500000000204511672223006022772 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Projection1D) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/data/0000755000175000017500000000000011674103625016065 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/data/cylinder.xml0000644000175000017500000151170511672223006020424 0ustar johannrjohannr 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0, 0, 2; 0, 2.5, 0) and plane (-10, 0, 0; -10, 0, 0) and plane (10, 0, 0; 10, 0, 0); solid cyl2 = cylinder ( 1, 0, 0; -1, 0, 0; 1.0 ) and plane (-10, 0, 0; -10, 0, 0) and plane (10, 0, 0; 10, 0, 0); solid main = cyl1 and not cyl2; tlo main; syfi-1.0.0.dfsg.orig/demo/SubDomains/0000755000175000017500000000000011674103625017220 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/0000755000175000017500000000000011672223006017774 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/README0000644000175000017500000000013211672223006020650 0ustar johannrjohannr The demo produces a singular matrix after the transition to dolfin 0.9.7 and ufl 0.5.2 syfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/Makefile0000644000175000017500000000100211672223006021425 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=15 FORM=Forms demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/Forms.ufl0000644000175000017500000000053311672223006021573 0ustar johannrjohannr cell = triangle V1 = FiniteElement("CG", cell, 1) V2 = FiniteElement("CG", cell, 2) V3 = FiniteElement("CG", cell, 3) V4 = FiniteElement("CG", cell, 4) V = V1 W = V1 u = TrialFunction(V) v = TestFunction(V) f = Coefficient(V) g = Coefficient(W) pde = (dot(grad(u), grad(v)) - f*v)*dx(0) \ + (u*v - g*v)*dx(1) a, L = lhs(pde), rhs(pde) syfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/main.cpp0000644000175000017500000000543411672223006021432 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves Poissons equation in 2D with // the solution projected to a fixed value in the middle. #include #include #include "generated_code/Forms.h" using std::vector; using namespace dolfin; using namespace Forms; class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 0.0*dx*dy; } }; class Value: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 2.0*exp(-10.0*(dx*dx+dy*dy))-1; } }; class BoundaryValue: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = dx + dy; } }; class ValueDomain: public SubDomain { bool inside(const Array& x, bool on_boundary) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; double r = 0.2; return (dx*dx + dy*dy) < r*r; } }; class DirichletBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[1] < DOLFIN_EPS || x[1] > 1.0-DOLFIN_EPS; } }; int main() { unsigned n = 100; UnitSquare mesh(n, n); //MeshFunction domains(mesh, 2); boost::shared_ptr< MeshFunction > domains(new MeshFunction(mesh, 2)); ValueDomain vdomain; vdomain.mark(*domains, 1); BilinearForm::TrialSpace V(mesh); CoefficientSpace_f F(mesh); CoefficientSpace_g G(mesh); BilinearForm a(V, V); LinearForm L(V); L.set_cell_domains(domains); a.set_cell_domains(domains); Source f; Value g; BoundaryValue ubc; L.f = f; L.g = g; DirichletBoundary boundary; DirichletBC bc(V, ubc, boundary); VariationalProblem problem(a, L, bc); Function u(V); problem.solve(u); File ufile("u.pvd"); ufile << u; //plot(u); } syfi-1.0.0.dfsg.orig/demo/SubDomains/cpp/CMakeLists.txt0000644000175000017500000000204011672223006022530 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(SubDomains) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Advection-Diffusion/0000755000175000017500000000000011674103625021014 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Advection-Diffusion/python/0000755000175000017500000000000011672223006022327 5ustar 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Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Anders Logg, 2008 # Modified by Johan Hake, 2008 # Modified by Garth N. Wells, 2009 # Modified by Kent-Andre Mardal, 2009 to work with SFC # # First added: 2007-11-14 # Last changed: 2008-01-04 # # This demo solves the time-dependent convection-diffusion equation by # a least-squares stabilized cG(1)cG(1) method. The velocity field used # in the simulation is the output from the Stokes (Taylor-Hood) demo. # The sub domains for the different boundary conditions are computed # by the demo program in src/demo/subdomains. from dolfin import * parameters["form_compiler"]["name"]= "sfc" # Load mesh and subdomains mesh = Mesh("mesh.xml.gz") sub_domains = MeshFunction("uint", mesh, "subdomains.xml.gz"); # Create FunctionSpaces Q = FunctionSpace(mesh, "CG", 1) V = VectorFunctionSpace(mesh, "CG", 2) # Create velocity Function velocity = Constant((-1,0,0.0)) # Initialise source function and previous solution function f = Constant(0.0) u0 = Function(Q) # Parameters T = 5.0 k = 0.1 t = k c = 0.005 c = variable(c) # Test and trial functions v = TestFunction(Q) u = TrialFunction(Q) # Functions u1 = Function(Q) su1 = Function(Q) # Variational problem a = v*u*dx + 0.5*k*(dot(velocity, grad(u))*v*dx + c*dot(grad(v), grad(u))*dx) L = v*u0*dx - 0.5*k*(dot(velocity, grad(u0))*v*dx + c*dot(grad(v), grad(u0))*dx) + k*v*f*dx sL = sensitivity_rhs(a, u0, L, c) # Set up boundary condition g = Constant(1.0) bc = DirichletBC(Q, g, sub_domains, 1) # Assemble matrix A = assemble(a) # Output file out_file = File("temperature.pvd") sout_file = File("stemperature.pvd") # Time-stepping while t < T: # Copy solution from previous interval u0.assign(u1) # Assemble vector and apply boundary conditions b = assemble(L) bc.apply(A, b) # Solve the linear system solve(A, u1.vector(), b) # Plot solution figure(0) plot(u1, title="u") # Save the solution to file out_file << u1 # Compute sensitivity to c u0.assign(u1) sb = assemble(sL) solve(A, su1.vector(), sb) sout_file << su1 figure(1) plot(su1, title="du/dc") # Move to next interval t += k # Hold plot interactive() syfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/0000755000175000017500000000000011674103625020463 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/0000755000175000017500000000000011672223006021237 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/HyperElasticity1D.ufl0000644000175000017500000000114211672223006025254 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 -- 2009-03-09 # cell = interval element = FiniteElement("CG", cell, 1) v = TestFunction(element) w = TrialFunction(element) u = Coefficient(element) b = Constant(cell) K = Constant(cell) g = Coefficient(element) F = 1 + u.dx(0) F = variable(F) C = F**2 E = (C-1)/2 Q = b*E**2 psi = K*(exp(Q)-1) P = diff(psi, F) # Alternative implementaiton of f, F: #f = psi*dx #F = (inner(P, v.dx(0)) + g*v)*dx # Strain energy + work against body force f = (psi + g*u)*dx # Residual equation F = derivative(f, u, v) # Jacobi J = derivative(F, u, w) forms = [f, F, J] syfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/Makefile0000644000175000017500000000106711672223006022703 0ustar johannrjohannr FLAGS=--integration-method=quadrature --integration-order=9 --safemode=0 FORM=HyperElasticity1D demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & #paraview --data=build/usol.pvd & paraview --data=build/e.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/main.cpp0000644000175000017500000000720111672223006022667 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves a 1D nonlinear hyperelasticity model. #include #include #include #include "generated_code/HyperElasticity1D.h" using namespace dolfin; using namespace HyperElasticity1D; const double eps = DOLFIN_EPS; const double K_VALUE = 1.0; const double B_VALUE = 0.1; class Weight: public Expression { public: double value; void eval(Array& values, const Array& x) const { values[0] = value; } }; class Source: public Expression { public: void eval(Array& values, const Array& x) const { const double dx = x[0] - 0.5; const double b = B_VALUE; const double K = K_VALUE; // Matching solution u = sin(x) - x: values[0] = -K*exp((1.0/4.0)*std::pow( std::pow(cos(x[0]),2.0)-1.0,2.0)*b)*( std::pow(cos(x[0]),2.0)-1.0)*sin(x[0])*b+-2.0*K*exp((1.0/4.0)*std::pow( std::pow(cos(x[0]),2.0)-1.0,2.0)*b)*std::pow(cos(x[0]),2.0)*sin(x[0])*b-K*exp((1.0/4.0)*std::pow( std::pow(cos(x[0]),2.0)-1.0,2.0)*b)*std::pow(cos(x[0]),2.0)*std::pow( std::pow(cos(x[0]),2.0)-1.0,2.0)*sin(x[0])*(b*b); } }; class Solution: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = sin(x[0]) - x[0]; } }; class DirichletBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS; } }; int main() { // Geometry unsigned n = 20; UnitInterval mesh(n); // Function spaces Form_J::TrialSpace V(mesh); CoefficientSpace_K C(mesh); // Coefficient functions Weight K; K.value = K_VALUE; Weight b; b.value = B_VALUE; Source g; Solution usol; // Solution function Function u(V); // Forms Form_J a(V, V); Form_F L(V); // Attach coefficients to forms a.u = u; a.K = K; a.b = b; L.u = u; L.K = K; L.b = b; L.g = g; // Boundary conditions DirichletBoundary boundary; DirichletBC bc(V, usol, boundary); // Solve variational problem solve(a==L, u, bc); // Compute F at u Vector F; assemble(F, L); //problem.F(F, u.vector()); cout << "Norm of F = " << F.norm("l2") << endl; cout << "Min of F = " << F.min() << endl; cout << "Max of F = " << F.max() << endl; // Compute e_h = usol_h - e Function usol_h(V); usol_h = usol; Function e_h(V); e_h.vector() = usol_h.vector(); e_h.vector() -= u.vector(); cout << "Norm of e_h = " << e_h.vector().norm("l2") << endl; cout << "Min of e_h = " << e_h.vector().min() << endl; cout << "Max of e_h = " << e_h.vector().max() << endl; // Write solutions to file File ufile("u.pvd"); ufile << u; File usolfile("usol.pvd"); usolfile << usol_h; File efile("e.pvd"); efile << e_h; //plot(u); //plot(usol_h); } syfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/CMakeLists.txt0000644000175000017500000000216311672223006024001 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(HyperElasticity1D) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Code generation is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Enable no optimization set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -g -O0") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/HyperElasticity1D/cpp/manufactured_solution.py0000644000175000017500000000124611672223006026226 0ustar johannrjohannr from swiginac import * # --- Derivation of manufactured analytical solution: # Some useful symbols x = symbol("x[0]") b = symbol("b") K = symbol("K") # Picking an arbitrary solution u = sin(x) - x # Want to compute g! # Compute P(F) F = symbol("F") E = (F**2-1)/2 Q = b*E**2 psi = K*(exp(Q)-1) P = diff(psi, F) # Compute value of F #Fvalue = 1 + u.dx(0) = 1 + cos(x) - 1 Fvalue = 1 + diff(u, x) # Substitute value of F into P repmap = exmap() repmap[F] = Fvalue P = P.subs(repmap) # Compute g using strong form of equation g = diff(P, x) # Print solutions print print "u:" print " value[0] =", u.printc() print print "g:" print " value[0] =", g.printc() print syfi-1.0.0.dfsg.orig/demo/ProjectionMixed/0000755000175000017500000000000011674103625020257 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionMixed/cpp/0000755000175000017500000000000011672223006021033 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionMixed/cpp/Makefile0000644000175000017500000000111411672223006022470 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=5 FORM=ProjectionMixed demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl generate: clean demo view: run paraview --data=build/ut.pvd & paraview --data=build/uv.pvd & paraview --data=build/us.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/ProjectionMixed/cpp/main.cpp0000644000175000017500000000454411672223006022472 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes a projection of a function // between two mixed finite element spaces. #include #include "generated_code/ProjectionMixed.h" using namespace dolfin; using namespace ProjectionMixed; class FScalar: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 3.14159*x[0]*x[1]; } }; class FVector: public Expression { public: FVector() : Expression(2) {} void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 2.0 * x[0]; values[1] = 3.0 * x[1]; } }; class FTensor: public Expression { public: FTensor() : Expression(2,2) {} void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 0.1 * x[0] * x[1]; values[1] = 0.2 * x[0] * x[1]; values[2] = 0.3 * x[0] * x[1]; values[3] = 0.4 * x[0] * x[1]; } }; int main(int argc, char ** argv) { UnitSquare mesh(10, 10); BilinearForm::TrialSpace V(mesh); CoefficientSpace_ft FT(mesh); CoefficientSpace_fv FV(mesh); CoefficientSpace_fs FS(mesh); FTensor ft; FVector fv; FScalar fs; Function u(V); BilinearForm a(V, V); LinearForm L(V); L.ft = ft; L.fv = fv; L.fs = fs; u = Function(V); solve(a==L, u); // Get subfunctions Function ut = u[0]; Function uv = u[1]; Function us = u[2]; // Write subfunctions to file File ut_file("ut.pvd"); ut_file << ut; File uv_file("uv.pvd"); uv_file << uv; File us_file("us.pvd"); us_file << us; return 0; } syfi-1.0.0.dfsg.orig/demo/ProjectionMixed/cpp/ProjectionMixed.ufl0000644000175000017500000000110011672223006024636 0ustar johannrjohannr cell = triangle telement = TensorElement("DG", cell, 0) velement = VectorElement("CG", cell, 1) selement = FiniteElement("CG", cell, 2) telement2 = TensorElement("DG", cell, 1) velement2 = VectorElement("CG", cell, 2) selement2 = FiniteElement("CG", cell, 3) mixed_element = MixedElement(telement, velement, selement) vt, vv, vs = TestFunctions(mixed_element) ut, uv, us = TrialFunctions(mixed_element) ft = Coefficient(telement2) fv = Coefficient(velement2) fs = Coefficient(selement2) a = (inner(ut,vt) + dot(uv,vv) + us*vs)*dx L = (inner(ft,vt) + dot(fv,vv) + fs*vs)*dx syfi-1.0.0.dfsg.orig/demo/ProjectionMixed/cpp/CMakeLists.txt0000644000175000017500000000205011672223006023570 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(ProjectionMixed) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Poisson3D/0000755000175000017500000000000011674103625016775 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/0000755000175000017500000000000011672223006017551 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/Poisson3D.ufl0000644000175000017500000000077711672223006022115 0ustar johannrjohannr# # -lap u = f # Strong form of equation # (-lap u, v) = (f, v) # Weak form # (Du, Dv) - (n.Du, v)_ = (f, v) # Partial integration # g = dot(n, grad(u)) # Boundary term # (Du, Dv) - (g, v)_ - (f, v) = 0 # Final weak form # cell = tetrahedron element = FiniteElement("CG", cell, 1) u = TrialFunction(element) v = TestFunction(element) f = Coefficient(element) g = Coefficient(element) a = dot(grad(u),grad(v))*dx - f*v*dx - g*v*ds a, L = lhs(a), rhs(a) syfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/Makefile0000644000175000017500000000115111672223006021207 0ustar johannrjohannr FLAGS=--integration-method=symbolic --debug=0 #FLAGS=--integration-method=quadrature --integration-order=3 --debug=0 --safemode=0 FORM=Poisson3D demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & #paraview --data=build/usol.pvd & #paraview --data=build/e.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/main.cpp0000644000175000017500000001050011672223006021175 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves Poissons equation in 3D. #include #include #include "generated_code/Poisson3D.h" using std::sqrt; using std::sin; using std::cos; using std::acos; using namespace dolfin; using namespace Poisson3D; const double a = 1.0; const double b = 1.0; const double k = 1.0; const double Pi = acos(-1); class Source: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; double dz = x[2] - 0.5; values[0] = b * 3.0 * (Pi*Pi)*(k*k) * cos(Pi*k*x[0])*cos(x[1]*Pi*k)*cos(Pi*k*x[2]) + a * 3.0 * (Pi*Pi)*(k*k) * sin(x[1]*Pi*k)*sin(Pi*k*x[2])*sin(Pi*k*x[0]); } }; class BoundarySource: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; double dz = x[2] - 0.5; values[0] = 0.0; bool gx0 = x[0] < DOLFIN_EPS; bool gx1 = x[0] > 1.0-DOLFIN_EPS; bool gy0 = x[1] < DOLFIN_EPS; bool gy1 = x[1] > 1.0-DOLFIN_EPS; bool gz0 = x[2] < DOLFIN_EPS; bool gz1 = x[2] > 1.0-DOLFIN_EPS; if (gx0) values[0] = -sin(x[1]*Pi*k)*sin(Pi*k*x[2])*Pi*k*a; else if(gx1) values[0] = sin(x[1]*Pi*k)*sin(Pi*k*x[2])*Pi*k*cos(Pi*k)*a-sin(Pi*k)*b*Pi*k*cos(x[1]*Pi*k)*cos(Pi*k*x[2]); else if(gy0) values[0] = -sin(Pi*k*x[2])*Pi*k*sin(Pi*k*x[0])*a; else if(gy1) values[0] = sin(Pi*k*x[2])*Pi*k*cos(Pi*k)*sin(Pi*k*x[0])*a-cos(Pi*k*x[0])*sin(Pi*k)*b*Pi*k*cos(Pi*k*x[2]); else if(gz0) values[0] = -sin(x[1]*Pi*k)*Pi*k*sin(Pi*k*x[0])*a; else if(gz1) values[0] = sin(x[1]*Pi*k)*Pi*k*cos(Pi*k)*sin(Pi*k*x[0])*a-cos(Pi*k*x[0])*sin(Pi*k)*b*Pi*k*cos(x[1]*Pi*k); } }; class Solution: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = b * cos(Pi*k*x[0])*cos(x[1]*Pi*k)*cos(Pi*k*x[2]) + a * sin(x[1]*Pi*k)*sin(Pi*k*x[2])*sin(Pi*k*x[0]); } }; class DirichletBoundary: public SubDomain { bool inside(const Array& x, bool on_boundary) const { return on_boundary and (x[0] < DOLFIN_EPS); } }; int main() { // Geometry info("Mesh"); unsigned n = 30; UnitCube mesh(n, n, n); // Function spaces info("Function spaces"); BilinearForm::TrialSpace V(mesh); // Forms info("Forms"); BilinearForm a(V, V); LinearForm L(V); // Coefficient functions info("Functions"); Source f; BoundarySource g; Solution usol; // Solution function Function u(V); // Attach functions to forms L.f = f; L.g = g; // Setup boundary conditions info("Boundary conditions"); DirichletBoundary boundary; DirichletBC bc(V, usol, boundary); std::vector bcs; bcs.push_back(&bc); u = Function(V); info("Solving"); solve(a == L, u, bcs); // Interpolate exact solution Function usol_h(V); usol_h = usol; Function e(V); e.vector() = u.vector(); e.vector() -= usol_h.vector(); int N = u.vector().size(); cout << endl; cout << "==========================" << endl; cout << "Norm of e = " << e.vector().norm("l2") / sqrt(N) << endl; cout << "Min of e = " << e.vector().min() << endl; cout << "Max of e = " << e.vector().max() << endl; cout << "==========================" << endl; // Write results to file info("Writing to file"); File ufile("u.pvd"); ufile << u; File usolfile("usol.pvd"); usolfile << usol_h; File efile("e.pvd"); efile << e; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/CMakeLists.txt0000644000175000017500000000203711672223006022313 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Poisson3D) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Poisson3D/cpp/manufactured_solution.py0000644000175000017500000000254111672223006024537 0ustar johannrjohannr import swiginac from swiginac import * pi = acos(-1) def laplace(f): return sum(diff(diff(u, x[i]), x[i]) for i in range(3)) def subs(f, s, v): repmap = exmap() repmap[s] = v return f.subs(repmap) # --- Derivation of manufactured analytical solution: # Some useful symbols x = matrix(3,1, [symbol("x[%d]" % i) for i in range(3)]) a = symbol("a") b = symbol("b") k = symbol("k") # Testing now: kpix = k*pi*x[0] kpiy = k*pi*x[1] kpiz = k*pi*x[2] u = a * sin(kpix)*sin(kpiy)*sin(kpiz) + b * cos(kpix)*cos(kpiy)*cos(kpiz) # Compute volume source term f = -laplace(u) # Compute boundary source terms gx0 = subs( -diff(u, x[0]), x[0], 0 ) gx1 = subs( +diff(u, x[0]), x[0], 1 ) gy0 = subs( -diff(u, x[1]), x[1], 0 ) gy1 = subs( +diff(u, x[1]), x[1], 1 ) gz0 = subs( -diff(u, x[2]), x[2], 0 ) gz1 = subs( +diff(u, x[2]), x[2], 1 ) # Print solutions def p(x): #x = swiginac.normal(x) #x = x.evalf() return x.printc() print print "u:" print " values[0] = %s;" % p(u) print print "f:" print " values[0] = %s;" % p(f) print print "g:" print " if(gx0) values[0] = %s;" % p(gx0) print " if(gx1) values[0] = %s;" % p(gx1) print " if(gy0) values[0] = %s;" % p(gy0) print " if(gy1) values[0] = %s;" % p(gy1) print " if(gz0) values[0] = %s;" % p(gz0) print " if(gz1) values[0] = %s;" % p(gz1) print syfi-1.0.0.dfsg.orig/demo/LinearElasticity/0000755000175000017500000000000011674103625020421 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/LinearElasticity/python/0000755000175000017500000000000011674103625021742 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/LinearElasticity/python/Makefile0000644000175000017500000000010711672223006023372 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/LinearElasticity/python/demo.py0000644000175000017500000000554111672223006023237 0ustar johannrjohannr """This demo program solves the equations of static linear elasticity for a gear clamped at two of its ends and twisted 30 degrees.""" # Copyright (C) 2007 Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Anders Logg, 2008. # Modified by Kent-Andre Mardal, 2010. # # First added: 2007-11-14 # Last changed: 2009-02-25 from dolfin import * parameters["form_compiler"]["name"]= "sfc" # Load mesh and define function space mesh = Mesh("../../data/gear.xml.gz") V = VectorFunctionSpace(mesh, "CG", 1) # Sub domain for clamp at left end class Left(SubDomain): def inside(self, x, on_boundary): return x[0] < 0.5 and on_boundary # Dirichlet boundary condition for rotation at right end class Rotation(Expression): def value_shape(self): return (3,) def eval(self, values, x): # Center of rotation y0 = 0.5 z0 = 0.219 # Angle of rotation (30 degrees) theta = 0.5236 # New coordinates y = y0 + (x[1] - y0)*cos(theta) - (x[2] - z0)*sin(theta) z = z0 + (x[1] - y0)*sin(theta) + (x[2] - z0)*cos(theta) # Clamp at right end values[0] = 0.0 values[1] = y - x[1] values[2] = z - x[2] # Sub domain for rotation at right end class Right(SubDomain): def inside(self, x, on_boundary): return x[0] > 0.9 and on_boundary # Define variational problem v = TestFunction(V) u = TrialFunction(V) f = Constant((0, 0, 0)) E = 10.0 nu = 0.3 mu = E / (2*(1 + nu)) lmbda = E*nu / ((1 + nu)*(1 - 2*nu)) I = Identity(3) # mu = Constant(cell) # lmbda = Constant(cell) def epsilon(v): return 0.5*(grad(v) + grad(v).T) def sigma(v): return 2*mu*epsilon(v) + lmbda*tr(epsilon(v))*I a = inner(epsilon(v), sigma(u))*dx L = dot(v, f)*dx # Set up boundary condition at left end c = Constant((0, 0, 0)) bcl = DirichletBC(V, c, Left()) # Set up boundary condition at right end r = Rotation() bcr = DirichletBC(V, r, Right()) # Set up boundary conditions bcs = [bcl, bcr] # Set up PDE and solve u = Function(V) solve(a==L, u, bcs) # Save solution to VTK format vtk_file = File("elasticity.pvd") vtk_file << u # Plot solution plot(u, mode="displacement") # Displace mesh and plot displaced mesh mesh.move(u) plot(mesh) # Hold plots interactive() syfi-1.0.0.dfsg.orig/demo/LinearElasticity/cpp/0000755000175000017500000000000011674103625021203 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/LinearElasticity/cpp/LinearElasticity.ufl0000644000175000017500000000240111672223006025147 0ustar johannrjohannr# Copyright (c) 2005 Johan Jansson # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Anders Logg 2006-2007 # Modified by Garth N. Wells 2008 # Modified by Martin Alnæs 2009 # # First added: 2005 # Last changed: 2009-06-03 # # The bilinear form for classical linear elasticity (Navier). cell = tetrahedron element = VectorElement("Lagrange", cell, 1) v = TestFunction(element) u = TrialFunction(element) f = Coefficient(element) I = Identity(cell.d) mu = Constant(cell) lmbda = Constant(cell) def epsilon(v): return 0.5*(grad(v) + grad(v).T) def sigma(v): return 2*mu*epsilon(v) + lmbda*tr(epsilon(v))*I a = inner(epsilon(v), sigma(u))*dx L = dot(v, f)*dx syfi-1.0.0.dfsg.orig/demo/LinearElasticity/cpp/Makefile0000644000175000017500000000101411672223006022631 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 FORM=LinearElasticity demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/u.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/LinearElasticity/cpp/main.cpp0000644000175000017500000000700211672223006022624 0ustar johannrjohannr// Copyright (C) 2006-2009 Johan Jansson and Anders Logg // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // Modified by Garth N. Wells 2008 // // First added: 2006-02-07 // Last changed: 2009-02-25 // // This demo program solves the equations of static // linear elasticity for a gear clamped at two of its // ends and twisted 30 degrees. #include #include "generated_code/LinearElasticity.h" using namespace dolfin; int main() { // Dirichlet boundary condition for clamp at left end class Clamp : public Expression { public: Clamp() : Expression(3) {} void eval(Array& values, const Array& x) const { values[0] = 0.0; values[1] = 0.0; values[2] = 0.0; } }; // Sub domain for clamp at left end class Left : public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[0] < 0.5 && on_boundary; } }; // Dirichlet boundary condition for rotation at right end class Rotation : public Expression { public: Rotation() : Expression(3) {} void eval(Array& values, const Array& x) const { // Center of rotation double y0 = 0.5; double z0 = 0.219; // Angle of rotation (30 degrees) double theta = 0.5236; // New coordinates double y = y0 + (x[1] - y0)*cos(theta) - (x[2] - z0)*sin(theta); double z = z0 + (x[1] - y0)*sin(theta) + (x[2] - z0)*cos(theta); // Clamp at right end values[0] = 0.0; values[1] = y - x[1]; values[2] = z - x[2]; } }; // Sub domain for rotation at right end class Right : public SubDomain { bool inside(const Array& x, bool on_boundary) const { return x[0] > 0.9 && on_boundary; } }; // Read mesh and create function space Mesh mesh("../../../data/gear.xml.gz"); LinearElasticity::BilinearForm::TrialSpace V(mesh); // Create right-hand side Constant f(3, 0.0, 0.0); // Set up boundary condition at left end Clamp c; Left left; DirichletBC bcl(V, c, left); // Set up boundary condition at right end Rotation r; Right right; DirichletBC bcr(V, r, right); // Collect boundary conditions std::vector bcs; bcs.push_back(&bcl); bcs.push_back(&bcr); // Set elasticity parameters double E = 10.0; double nu = 0.3; Constant mu(E / (2*(1 + nu))); Constant lambda(E*nu / ((1 + nu)*(1 - 2*nu))); // Set up PDE (symmetric) LinearElasticity::BilinearForm a(V, V); a.mu = mu; a.lmbda = lambda; LinearElasticity::LinearForm L(V); L.f = f; // Solve PDE (using direct solver) Function u(V); solve(a==L, u, bcs); // Plot solution //plot(u, "displacement"); // Displace mesh and plot displaced mesh //mesh.move(u); //plot(mesh); // Save solution in VTK format File vtk_file("u.pvd"); vtk_file << u; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/LinearElasticity/cpp/CMakeLists.txt0000644000175000017500000000216211672223006023736 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(LinearElasticity) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Code generation is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable") # Enable no optimization set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -g -O0") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/0000755000175000017500000000000011674103625020463 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionTensor/python/0000755000175000017500000000000011674103625022004 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionTensor/python/Makefile0000644000175000017500000000010711672223006023434 0ustar johannrjohannr default: echo "do nothing" clean: rm -r *.pvd *.vtu sfc_jit* syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/python/demo.py0000644000175000017500000000150011672223006023270 0ustar johannrjohannr from dolfin import * parameters["form_compiler"]["name"] = "sfc" class Source(Expression): def value_shape(self): return (2,2) def eval(self, values, x): values[0] = x[0] values[1] = x[1] values[2] = 2 values[3] = 100 mesh = UnitSquare(12,12) V0 = FunctionSpace(mesh, "DG", 0) V1 = FunctionSpace(mesh, "CG", 1) T1 = TensorFunctionSpace(mesh, "CG", 1) T2 = TensorFunctionSpace(mesh, "CG", 2) u = TrialFunction(T1) v = TestFunction(T1) U = Function(T1) c = Function(V0) c.vector()[:] = 1 f = Source() a = c*inner(u,v)*dx L = inner(f,v)*dx solve(a==L, U) # Store tensor valued function to file file = File('u.pvd') file << U # Plot components of tensor plot(project(U[0,0], V1)) plot(project(U[0,1], V1)) plot(project(U[1,0], V1)) plot(project(U[1,1], V1)) interactive() syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/cpp/0000755000175000017500000000000011674103625021245 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/ProjectionTensor/cpp/Makefile0000644000175000017500000000106211672223006022676 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=5 FORM=ProjectionTensor demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run cd build && paraview --data=u.pvd & generate: clean generated_code/$(FORM).h echo Done. run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/cpp/ProjectionTensor.ufl0000644000175000017500000000045311672223006025260 0ustar johannrjohannr polygon = "triangle" element0 = FiniteElement("DG", polygon, 0) element1 = TensorElement("CG", polygon, 1) element2 = TensorElement("CG", polygon, 2) u = TrialFunction(element1) v = TestFunction(element1) c = Coefficient(element0) f = Coefficient(element2) a = c*inner(u,v)*dx L = inner(f,v)*dx syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/cpp/main.cpp0000644000175000017500000000407711672223006022677 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes a projection of a tensor finite element space. #include #include "generated_code/ProjectionTensor.h" using namespace dolfin; using namespace ProjectionTensor; class Weight: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 1.0; } }; class Source: public Expression { public: Source (): Expression(2,2) {} void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; //values[0] = cos(2*DOLFIN_PI*dx*dx); //values[1] = cos(2*DOLFIN_PI*dx*dy); //values[2] = cos(2*DOLFIN_PI*dy*dx); //values[3] = cos(2*DOLFIN_PI*dy*dy); values[0] = x[0] + x[1]; values[1] = x[0] + x[1]; values[2] = x[0] + x[1]; values[3] = x[0] + x[1]; } }; int main(int argc, char ** argv) { UnitSquare mesh(10, 10); BilinearForm::TrialSpace V(mesh); CoefficientSpace_c C(mesh); CoefficientSpace_f F(mesh); Weight c; Source f; Function u(V); BilinearForm a(V, V); LinearForm L(V); a.c = c; L.f = f; u = Function(V); solve(a==L, u); // Interpolate f onto the discrete space V Source f2; Function fi(V); fi.interpolate(f2); File u_file("u.pvd"); u_file << u; File f_file("f.pvd"); f_file << fi; //plot(u); return 0; } syfi-1.0.0.dfsg.orig/demo/ProjectionTensor/cpp/CMakeLists.txt0000644000175000017500000000205111672223006023775 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(ProjectionTensor) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/demo/Elements/0000755000175000017500000000000011674103625016730 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Elements/cpp/0000755000175000017500000000000011672223006017504 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/demo/Elements/cpp/Makefile0000644000175000017500000000074611672223006021153 0ustar johannrjohannr FLAGS=--integration-method=symbolic --debug=0 #FLAGS=--integration-method=quadrature FORM=Elements demo: main.cpp build/generated_code/$(FORM).h cd build && cmake .. && $(MAKE) build/generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -obuild/generated_code $(FORM).ufl bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=build/s2_2D.pvd & run: demo cd build && rm -f *.pvd *.vtu && ./demo debug: demo cd build && gdb ./demo clean: rm -rf build syfi-1.0.0.dfsg.orig/demo/Elements/cpp/main.cpp0000644000175000017500000001516011672223006021137 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-03-01 // // This demo program interpolates functions in lots of different function spaces. #include #include "generated_code/Elements.h" using namespace dolfin; class Scalar2D: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = x[0] + x[1]; } }; class Scalar3D: public Expression { public: void eval(Array& values, const Array& x) const { double dz = x[2] - 0.5; values[0] = (x[0] + x[1]) * dz; } }; class Vector2D: public Expression { public: void eval(Array& values, const Array& x) const { values[0] = 3.0 + 0.1*x[0] + 0.01*x[1]; values[1] = 5.0 + 0.1*x[0] + 0.01*x[1]; } }; class Vector3D: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; double dz = x[2] - 0.5; values[0] = 1.0*dx; values[1] = 2.0*dy; values[2] = 3.0*dz; } }; class Tensor2D: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; values[0] = 1.0*dx; values[1] = 2.0*dx; values[2] = 3.0*dy; values[3] = 4.0*dy; } }; class Tensor3D: public Expression { public: void eval(Array& values, const Array& x) const { double dx = x[0] - 0.5; double dy = x[1] - 0.5; double dz = x[2] - 0.5; values[0] = 1.0*dx; values[1] = 2.0*dx; values[2] = 3.0*dx; values[3] = 4.0*dy; values[4] = 5.0*dy; values[5] = 6.0*dy; values[6] = 7.0*dz; values[7] = 8.0*dz; values[8] = 9.0*dz; } }; int main(int argc, char ** argv) { // TODO: The interface between DOLFIN and generated code needs to be more dynamic! // --- Meshes UnitSquare mesh2D(10, 10); UnitCube mesh3D(5, 5, 5); // --- FunctionSpaces Elements::CoefficientSpace_s0_2D VS0_2D(mesh2D); Elements::CoefficientSpace_s1_2D VS1_2D(mesh2D); Elements::CoefficientSpace_s2_2D VS2_2D(mesh2D); Elements::CoefficientSpace_s3_2D VS3_2D(mesh2D); //Elements::CoefficientSpace_s0_3D VS0_3D(mesh3D); //Elements::CoefficientSpace_s1_3D VS1_3D(mesh3D); //Elements::CoefficientSpace_s2_3D VS2_3D(mesh3D); //Elements::CoefficientSpace_s3_3D VS3_3D(mesh3D); //Elements::CoefficientSpace_v0_2D VV0_2D(mesh2D); //Elements::CoefficientSpace_v1_2D VV1_2D(mesh2D); //Elements::CoefficientSpace_v2_2D VV2_2D(mesh2D); //Elements::CoefficientSpace_v3_2D VV3_2D(mesh2D); //Elements::CoefficientSpace_v0_3D VV0_3D(mesh3D); //Elements::CoefficientSpace_v1_3D VV1_3D(mesh3D); //Elements::CoefficientSpace_v2_3D VV2_3D(mesh3D); //Elements::CoefficientSpace_v3_3D VV3_3D(mesh3D); //Elements::CoefficientSpace_t0_2D VT0_2D(mesh2D); //Elements::CoefficientSpace_t1_2D VT1_2D(mesh2D); //Elements::CoefficientSpace_t2_2D VT2_2D(mesh2D); //Elements::CoefficientSpace_t3_2D VT3_2D(mesh2D); //Elements::CoefficientSpace_t0_3D VT0_3D(mesh3D); //Elements::CoefficientSpace_t1_3D VT1_3D(mesh3D); //Elements::CoefficientSpace_t2_3D VT2_3D(mesh3D); //Elements::CoefficientSpace_t3_3D VT3_3D(mesh3D); // --- Source functions Scalar2D ss0_2D; Scalar2D ss1_2D; Scalar2D ss2_2D; Scalar2D ss3_2D; //Scalar3D ss0_3D; //Scalar3D ss1_3D; //Scalar3D ss2_3D; //Scalar3D ss3_3D; //Vector2D sv0_2D; //Vector2D sv1_2D; //Vector2D sv2_2D; //Vector2D sv3_2D; //Vector3D sv0_3D; //Vector3D sv1_3D; //Vector3D sv2_3D; //Vector3D sv3_3D; //Tensor2D st0_2D; //Tensor2D st1_2D; //Tensor2D st2_2D; //Tensor2D st3_2D; //Tensor3D st0_3D; //Tensor3D st1_3D; //Tensor3D st2_3D; //Tensor3D st3_3D; // --- Functions to interpolate into Function fs0_2D(VS0_2D); Function fs1_2D(VS1_2D); Function fs2_2D(VS2_2D); Function fs3_2D(VS3_2D); //Function fs0_3D(VS0_3D); //Function fs1_3D(VS1_3D); //Function fs2_3D(VS2_3D); //Function fs3_3D(VS3_3D); //Function fv0_2D(VV0_2D); //Function fv1_2D(VV1_2D); //Function fv2_2D(VV2_2D); //Function fv3_2D(VV3_2D); //Function fv0_3D(VV0_3D); //Function fv1_3D(VV1_3D); //Function fv2_3D(VV2_3D); //Function fv3_3D(VV3_3D); //Function ft0_2D(VT0_2D); //Function ft1_2D(VT1_2D); //Function ft2_2D(VT2_2D); //Function ft3_2D(VT3_2D); //Function ft0_3D(VT0_3D); //Function ft1_3D(VT1_3D); //Function ft2_3D(VT2_3D); //Function ft3_3D(VT3_3D); // --- Interpolate all functions fs0_2D = ss0_2D; fs1_2D = ss1_2D; fs2_2D = ss2_2D; fs3_2D = ss3_2D; /* fs0_3D = ss0_3D; fs1_3D = ss1_3D; fs2_3D = ss2_3D; fs3_3D = ss3_3D; ...... */ // --- Debugging prints /* mesh2D.disp(); VV2_2D.dofmap().disp(); fv2_2D.vector().disp(); */ // --- Write all functions to file File file_s0_2D("s0_2D.pvd"); file_s0_2D << fs0_2D; File file_s1_2D("s1_2D.pvd"); file_s1_2D << fs1_2D; File file_s2_2D("s2_2D.pvd"); file_s2_2D << fs2_2D; File file_s3_2D("s3_2D.pvd"); file_s3_2D << fs3_2D; //File file_s0_3D("s0_3D.pvd"); file_s0_3D << fs0_3D; //File file_s1_3D("s1_3D.pvd"); file_s1_3D << fs1_3D; //File file_s2_3D("s2_3D.pvd"); file_s2_3D << fs2_3D; //File file_s3_3D("s3_3D.pvd"); file_s3_3D << fs3_3D; //File file_v0_2D("v0_2D.pvd"); file_v0_2D << fv0_2D; //File file_v1_2D("v1_2D.pvd"); file_v1_2D << fv1_2D; //File file_v2_2D("v2_2D.pvd"); file_v2_2D << fv2_2D; //File file_v3_2D("v3_2D.pvd"); file_v3_2D << fv3_2D; //File file_v0_3D("v0_3D.pvd"); file_v0_3D << fv0_3D; //File file_v1_3D("v1_3D.pvd"); file_v1_3D << fv1_3D; //File file_v2_3D("v2_3D.pvd"); file_v2_3D << fv2_3D; //File file_v3_3D("v3_3D.pvd"); file_v3_3D << fv3_3D; //File file_t0_2D("t0_2D.pvd"); file_t0_2D << ft0_2D; //File file_t1_2D("t1_2D.pvd"); file_t1_2D << ft1_2D; //File file_t2_2D("t2_2D.pvd"); file_t2_2D << ft2_2D; //File file_t3_2D("t3_2D.pvd"); file_t3_2D << ft3_2D; //File file_t0_3D("t0_3D.pvd"); file_t0_3D << ft0_3D; //File file_t1_3D("t1_3D.pvd"); file_t1_3D << ft1_3D; //File file_t2_3D("t2_3D.pvd"); file_t2_3D << ft2_3D; //File file_t3_3D("t3_3D.pvd"); file_t3_3D << ft3_3D; return 0; } syfi-1.0.0.dfsg.orig/demo/Elements/cpp/Elements.ufl0000644000175000017500000000502311672223006021770 0ustar johannrjohannr # Scalar elements: polygon = "triangle" element0 = FiniteElement("DG", polygon, 0) element1 = FiniteElement("CG", polygon, 1) element2 = FiniteElement("CG", polygon, 2) element3 = FiniteElement("CG", polygon, 3) s0_2D = Coefficient(element0) s1_2D = Coefficient(element1) s2_2D = Coefficient(element2) s3_2D = Coefficient(element3) as2D = s0_2D*s1_2D*s2_2D*s3_2D*dx polygon = "tetrahedron" element0 = FiniteElement("DG", polygon, 0) element1 = FiniteElement("CG", polygon, 1) element2 = FiniteElement("CG", polygon, 2) element3 = FiniteElement("CG", polygon, 3) s0_3D = Coefficient(element0) s1_3D = Coefficient(element1) s2_3D = Coefficient(element2) s3_3D = Coefficient(element3) as3D = s0_3D*s1_3D*s2_3D*s3_3D*dx # Vector elements: polygon = "triangle" element0 = VectorElement("DG", polygon, 0) element1 = VectorElement("CG", polygon, 1) element2 = VectorElement("CG", polygon, 2) element3 = VectorElement("CG", polygon, 3) v0_2D = Coefficient(element0) v1_2D = Coefficient(element1) v2_2D = Coefficient(element2) v3_2D = Coefficient(element3) av2D = inner(v0_2D,v1_2D)*inner(v2_2D,v3_2D)*dx polygon = "tetrahedron" element0 = VectorElement("DG", polygon, 0) element1 = VectorElement("CG", polygon, 1) element2 = VectorElement("CG", polygon, 2) element3 = VectorElement("CG", polygon, 3) v0_3D = Coefficient(element0) v1_3D = Coefficient(element1) v2_3D = Coefficient(element2) v3_3D = Coefficient(element3) av3D = inner(v0_3D,v1_3D)*inner(v2_3D,v3_3D)*dx # Tensor elements: polygon = "triangle" element0 = TensorElement("DG", polygon, 0) element1 = TensorElement("CG", polygon, 1) element2 = TensorElement("CG", polygon, 2) element3 = TensorElement("CG", polygon, 3) t0_2D = Coefficient(element0) t1_2D = Coefficient(element1) t2_2D = Coefficient(element2) t3_2D = Coefficient(element3) at2D = inner(t0_2D,t1_2D)*inner(t2_2D,t3_2D)*dx polygon = "tetrahedron" element0 = TensorElement("DG", polygon, 0) element1 = TensorElement("CG", polygon, 1) element2 = TensorElement("CG", polygon, 2) element3 = TensorElement("CG", polygon, 3) t0_3D = Coefficient(element0) t1_3D = Coefficient(element1) t2_3D = Coefficient(element2) t3_3D = Coefficient(element3) at3D = inner(t0_3D,t1_3D)*inner(t2_3D,t3_3D)*dx # TODO: Enable compilation of elements without forms, need load_ufl_file instead of load_forms! #elements = [element0, element1, element2, element3] # Export forms # Compiling this form file takes too long, disabling some of these for convenience: forms = [as2D, # as3D, # av2D, # av3D, # at2D, # at3D, ] syfi-1.0.0.dfsg.orig/demo/Elements/cpp/CMakeLists.txt0000644000175000017500000000221111672223006022240 0ustar johannrjohannr# Require CMake 2.8 cmake_minimum_required(VERSION 2.8) project(Elements) # Get DOLFIN configuration data find_package(dolfin) # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug MinSizeRel Release RelWithDebInfo." FORCE) endif() # Compiler definitions add_definitions(${DOLFIN_CXX_DEFINITIONS}) # Add special DOLFIN compiler flags set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${DOLFIN_CXX_FLAGS}") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-unused-variable -g") # Generated code is not this robust (yet) set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-conversion -w") # Include directories include_directories( ${DOLFIN_INCLUDE_DIRS} ${DOLFIN_3RD_PARTY_INCLUDE_DIRS} ${CMAKE_CURRENT_BINARY_DIR}) # Executable file(GLOB SOURCES ${CMAKE_SOURCE_DIR}/*.cpp) file(GLOB GENERATED_SOURCES ${CMAKE_CURRENT_BINARY_DIR}/generated_code/*.cpp) add_executable(demo ${SOURCES} ${GENERATED_SOURCES}) # Target libraries target_link_libraries(demo ${DOLFIN_LIBRARIES} ${DOLFIN_3RD_PARTY_LIBRARIES}) syfi-1.0.0.dfsg.orig/scripts/0000755000175000017500000000000011674103625015717 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/scripts/sfc0000755000175000017500000001211711672223006016414 0ustar johannrjohannr#!/usr/bin/env python import sys, os, shutil, glob from optparse import OptionParser, make_option import ufl import ufl.algorithms import sfc as sfc from sfc.common.options import default_parameters ### Define available commandline options parser = OptionParser() parser.add_option('--outputdir', '-o', action="store", default=".", type="str", help="Output directory.") parser.add_option('--prefix', '-p', action="store", default="", type="str", help="Prefix string.") parser.add_option('-O', action="store", default=0, type="int", help="Compiler optimization level.") parser.add_option('--cache', '-c', action="store", default=0, type="int", help="Use JIT compiler cache.") parser.add_option('--integration-method', '-i', action="store", default="quadrature", type="str", help="Integration method: [quadrature | symbolic].") # TODO: more? parser.add_option('--integration-order', '-d', action="store", default=None, type=int, help="Integration order.") parser.add_option('--dolfin-wrappers', '-w', action="store", default=0, type="int", help="Generate DOLFIN C++ wrapper code.") parser.add_option('--benchmark', '-b', action="store", default=0, type="int", help="Run benchmark of element tensor computation.") parser.add_option('--safemode', '-s', action="store", default=0, type="int", help="Use safe mode when generating (quadrature) code, writing complete integrand expressions unmodified.") parser.add_option('--debug', '-g', action="store", default=0, type="int", help="Enable generation of debugging code.") parser.add_option('--timing', '-t', action="store", default=0, type="int", help="Enable timing of code generation process.") parser.add_option('--use_expand_indices2', '-e', action="store", default=0, type="int", help="Use new experimental version of expand_indices.") # TODO: Add more options here! Synchronize with default_parameters() ... ### Parse argv argv = sys.argv[1:] (options, args) = parser.parse_args(args=argv) # Get form filenames from remaining arguments if len(args) == 0: print "Expecting form filename(s)." print parser.print_usage() sys.exit(-1) filenames = args for f in filenames: if not os.path.exists(f): print "No such file as '%s'" % f print parser.print_usage() sys.exit(-1) ### Update sfc options from commandline arguments sfc_options = default_parameters() # Options for this script only: outputdir = options.outputdir cache = options.cache # Options for SFC module behaviour sfc_options.output.enable_timing = options.timing sfc_options.code.integral.enable_debug_code = options.debug sfc_options.compilation.enable_debug_code = options.debug # Options for code generation sfc_options.code.integral.integration_method = options.integration_method sfc_options.code.integral.integration_order = options.integration_order sfc_options.code.integral.use_expand_indices2 = options.use_expand_indices2 sfc_options.code.integral.safemode = options.safemode sfc_options.code.dolfin_wrappers = options.dolfin_wrappers # Options for compilation O = options.O # Options for postprocessing benchmark = options.benchmark if benchmark: import ufc_benchmark # TODO: Add more options here! Synchronize with default_parameters() ... ### Load form file all_files= [] num_forms = 0 for filename in filenames: print "Loading form file '%s'" % filename ufd = ufl.algorithms.load_ufl_file(filename) # FIXME: Loading elements from a .ufl file is not supported here. all_files.append((filename, ufd.forms, ufd.object_names)) num_forms += len(ufd.forms) ### Compile forms try: os.makedirs(outputdir) except: print "Failed to create output directory", outputdir os.chdir(outputdir) print "Compiling %d form files with total %d forms..." % (len(all_files), num_forms) for (filename, forms, objects) in all_files: print "Compiling %d forms from file '%s'" % (len(forms), filename) if options.prefix: sfc_options.code.prefix = options.prefix else: sfc_options.code.prefix = os.path.basename(filename.strip()).replace(".ufl", "") if cache or benchmark: compiled_forms, module, formdatas = sfc.jitf(forms, objects, sfc_options) for compiled_form in compiled_forms: print " Compiled form info:" print " signature: %s" % compiled_form.signature() print " rank %d" % compiled_form.rank() print " %d coefficients." % compiled_form.num_coefficients() print " %d cell integrals" % compiled_form.num_cell_integrals() print " %d exterior facet integrals" % compiled_form.num_exterior_facet_integrals() print " %d interior facet integrals" % compiled_form.num_interior_facet_integrals() if benchmark: ufc_benchmark.bench(compiled_form) # TODO: Probably need more args here else: sfc.generate_code(forms, objects, sfc_options) syfi-1.0.0.dfsg.orig/cmake.local0000755000175000017500000000111711672223006016321 0ustar johannrjohannr#!/bin/sh # Configure for a local install. Build files will be generated in the # directory $toplevel/build and installation will go in the directory # $toplevel/installation. # # This is useful to be able to run demos from within the source tree # without needing to specify an installation directory. CMAKE_EXTRA_ARGS=$@ BUILDDIR=$PWD/build INSTALLDIR=$PWD/local mkdir -p $BUILDDIR cd $BUILDDIR cmake \ -D CMAKE_INSTALL_PREFIX:PATH=$INSTALLDIR \ -D SYFI_ENABLE_TESTING:BOOL=ON \ -D CMAKE_BUILD_TYPE:STRING=Developer \ $CMAKE_EXTRA_ARGS \ .. make -j3 make install syfi-1.0.0.dfsg.orig/COPYING0000644000175000017500000004310311672223006015256 0ustar johannrjohannr GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Lesser General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. 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If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. 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It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Lesser General Public License instead of this License. syfi-1.0.0.dfsg.orig/AUTHORS0000644000175000017500000000106711672223006015276 0ustar johannrjohannr The main authors of SyFi are: Kent-Andre Mardal Simula Research Laboratory Martin Sandve Alnæs Simula Research Laboratory Additional contributions have come from: Vera Louise Hauge has added support for Legendre polynomials. Ola Skavhaug has helped with cleaner Python interface. Arve Knutsen, Ola Skavhaug and Ã…smund ØdegÃ¥rd have submitted various bugfixes. Johannes Ring has improved the build system. Missing credits? Tell us and we will fix it. Send an email to syfi@lists.launchpad.net. syfi-1.0.0.dfsg.orig/tests/0000755000175000017500000000000011674103626015373 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/pylintlog/0000755000175000017500000000000011674103626017414 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/pylintlog/cleanlogs.py0000755000175000017500000000053411672223006021733 0ustar johannrjohannr#!/usr/bin/env python import os, sys files = sys.argv[1:] def delete(f): print "rm", f os.remove(f) for f in files: lines = [l.strip() for l in open(f).readlines()] if not lines: delete(f) else: for l in lines[1:]: # Skip first line if l: break else: delete(f) syfi-1.0.0.dfsg.orig/tests/pylintlog/runpylint.sh0000755000175000017500000000060211672223006022006 0ustar johannrjohannr#!/bin/bash # Change pylint behaviour # Defaults: FLAGS= # Errors only: FLAGS=-e # Delete old dirs rm -rf output mkdirhier output cd output # Check base system pylint $FLAGS --files-output=y newsfc # Remove incorrect sfc.log errors sed -i s/E.\*No.\*sfc.log.\*// *.txt # Remove empty log files python ../cleanlogs.py *.txt # Print sizes echo output/ lines: cat *.txt | uniq | wc -l syfi-1.0.0.dfsg.orig/tests/pylintlog/import_pychecker.py0000755000175000017500000000064011672223006023331 0ustar johannrjohannr#!/usr/bin/env python "Find potential bugs in SFC by static code analysis." # PyChecker skips previously loaded modules import os, sys, glob, shutil, re, logging, itertools try: import numpy except: pass try: import swiginac except: pass try: import sympy except: pass try: import sympycore except: pass try: import SyFi except: pass import pychecker.checker import newsfc syfi-1.0.0.dfsg.orig/tests/python/0000755000175000017500000000000011674103626016714 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/pydolfin/0000755000175000017500000000000011674103626020540 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/pydolfin/demo.py0000644000175000017500000000364111672223006022033 0ustar johannrjohannr"""This demo program solves Poisson's equation - div grad u(x, y) = f(x, y) on the unit square with source f given by f(x, y) = 500*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02) and boundary conditions given by u(x, y) = 0 for x = 0 or x = 1 """ # Copyright (C) 2007-2008 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified to work with SFC by Kent-Andre Mardal # # First added: 2007-08-16 # Last changed: 2008-12-13 import sys try: from dolfin import * parameters["form_compiler"]["name"] = "sfc" except: print "Dolfin is not found. Demo can not run" sys.exit(2) # Create mesh and define function space mesh = UnitSquare(32, 32) V = FunctionSpace(mesh, "CG", 1) # Define Dirichlet boundary (x = 0 or x = 1) class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return x[0] < DOLFIN_EPS or x[0] > 1.0 - DOLFIN_EPS # Define boundary condition u0 = Constant(0.0) bc = DirichletBC(V, u0, DirichletBoundary()) # Define variational problem v = TestFunction(V) u = TrialFunction(V) f = Expression("500.0 * exp(-(pow(x[0] - 0.5, 2) + pow(x[1] - 0.5, 2)) / 0.02)") ff = Function(V) ff.interpolate(f) a = dot(grad(v), grad(u))*dx L = v*ff*dx # Compute solution u = Function(V) solve(a == L, u, bc) ok = (u.vector().norm("l2") - 142.420764968) < 10**-4 sys.exit(0 if ok else 1) syfi-1.0.0.dfsg.orig/tests/python/cachetest/0000755000175000017500000000000011674103626020657 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/cachetest/test.py0000644000175000017500000000232311672223006022201 0ustar johannrjohannr from ufl import * from sfc import jit from time import time _t = None def tic(): global _t _t = time() def toc(): global _t t = time() - _t _t = None return t def timeit(input): tic() jit(input) t = toc() return t for take in range(3): print "="*80 print "Take", take avg = 0.0 n = 0 for cell in (interval, triangle, tetrahedron):#, quadrilateral, hexahedron): for degree in range(1, 3): e = FiniteElement("CG", cell, degree) for input in (e, [e]): t = timeit(input) print "Time for %s: %.4f s" % (repr(input), t) avg += t n += 1 input = FiniteElement("CG", cell, degree) + FiniteElement("CG", cell, degree+1) t = timeit(input) print "Time for %s: %.4f s" % (repr(input), t) avg += t n += 1 input = TensorElement("CG", cell, degree) + VectorElement("CG", cell, degree+1) + FiniteElement("CG", cell, degree+2) t = timeit(input) print "Time for %s: %.4f s" % (repr(input), t) avg += t n += 1 avg /= n print "Average for take", take, "is", avg syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/0000755000175000017500000000000011674103626021775 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/runtests.py0000644000175000017500000000056511672223006024235 0ustar johannrjohannr from dolfin_utils.pjobs import submit jobs = [] names = [] for q in (3, 5, 7): name = "sfc_quad%d" % q cmd = "python test.py " cmd += " -u ufl/functionals/" cmd += " -r reference/" cmd += " -j options/quad%d.py" % q cmd += " -w1 -d0 -e1 -n1 -b1" jobs.append(cmd) names.append(name) submit(jobs, name=names, nodes=3, ppn=8, walltime=5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/README0000644000175000017500000000027711672223006022654 0ustar johannrjohannr Example usage: ./clean.sh && ./test.py -e1 -n1 -r reference/ -u ufl/ -j options/quad3.py ./clean.sh && ./test.py -e0 -n0 -w1 -r functionals/reference/ -u functionals/ -j options/quad9.py syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/print_references.py0000755000175000017500000000224011672223006025676 0ustar johannrjohannr#!/usr/bin/env python import numpy import os import sys import glob import pickle def read_data(fn): try: f = open(fn) data = pickle.load(f) #data = f.read() f.close() except Exception, what: print "*** An error occured while trying to load reference file: %s" % fn print "*** Maybe you need to generate the reference? Returning None." data = None return data def main(argv): folder, = argv # Data: files = sorted(glob.glob(os.path.join(folder, "*.ref"))) datas = [] print for fn in files: print "Reading ===", fn, "...", data = read_data(fn) datas.append((fn,data)) print "Ok!" print for fn, data in datas: print "===", fn print data print # Timing: files = sorted(glob.glob(os.path.join(folder, "*.timing"))) datas = [] print for fn in files: print "Reading ===", fn, "...", data = read_data(fn) datas.append((fn,data)) print "Ok!" print for fn, data in datas: print "===", fn print data print if __name__ == "__main__": main(sys.argv[1:]) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/FIXME0000644000175000017500000000003511672223006022557 0ustar johannrjohannrufl_demo and ffc_demo failed syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/output/0000755000175000017500000000000011674103626023335 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/output/README0000644000175000017500000000000011672223006024174 0ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypeltiming.txt0000644000175000017500000000476311672223006025072 0ustar johannrjohannr # 5th order quadrature! #=== hypref/HyperElasticity1D_F.timing F = 3.8200000000000001e-07 #=== hypref/HyperElasticity1D_J.timing J = 4.5699999999999998e-07 #=== hypref/HyperElasticity1D_f.timing f = 3.27e-07 #=== hypref/HyperElasticityFung_a_F.timing F1 = 8.6799999999999996e-05 F2 = 3.0899999999999999e-05 #=== hypref/HyperElasticityFung_a_J.timing J1 = 0.000678 J2 = 0.00035799999999999997 #=== hypref/HyperElasticityFung_a_f.timing f = 5.5600000000000001e-06 #=== hypref/HyperElasticitySVK_a_F.timing F1 = 8.2799999999999993e-05 F2 = 3.0599999999999998e-05 #=== hypref/HyperElasticitySVK_a_J.timing J1 = 0.00062500000000000001 J2 = 0.00035500000000000001 #=== hypref/HyperElasticitySVK_a_f.timing f = 2.729e-06 #=== hypref/Elasticity_a.timing a = 7.3599999999999998e-06 # From paper: #Stiffness matrix: # Tetrahedron #Order 1 2 3 4 #Timescale (in μs) 0.14 0.7 2.6 11.3 #SFC (quadrature) 2.10 8.6 20.4 36.5 #Diffpack 8.20 – – – Seconds: # order 1 SFC = 0.294e-6 Diffpack = 1.148e-6 # order 2 SFC = 6.02e-6 # order 3 SFC = 53.04e-6 hypufl/Elasticity_a.timing 2.5270000000000001e-06 hypufl/HyperElasticity1D_F.timing 2.6679999999999998e-07 hypufl/HyperElasticity1D_J.timing 3.0800000000000001e-07 hypufl/HyperElasticity1D_f.timing 1.097e-07 hypufl/HyperElasticityFung_a_F.timing 2.9580000000000001e-05, 1.3179999999999999e-05 hypufl/HyperElasticityFung_a_J.timing 0.00025040000000000001, 0.00013530000000000001 hypufl/HyperElasticityFung_a_f.timing 4.4299999999999998e-07 hypufl/HyperElasticitySVK_a_F.timing 2.5829999999999998e-05, 1.3030000000000001e-05 hypufl/HyperElasticitySVK_a_J.timing 0.0002287, 0.00013520000000000001 hypufl/HyperElasticitySVK_a_f.timing 2.5320000000000002e-07 hypufl/HyperElasticitySVK_projection_L_J.timing 7.1900000000000002e-07 hypufl/HyperElasticitySVK_projection_L_div_u.timing 3.8500000000000002e-07 hypufl/HyperElasticitySVK_projection_L_psi.timing 8.2799999999999995e-07 hypufl/HyperElasticitySVK_projection_a_J.timing 2.082e-07 hypufl/HyperElasticitySVK_projection_a_div_u.timing 2.0830000000000001e-07 hypufl/HyperElasticitySVK_projection_a_psi.timing 2.0830000000000001e-07 Quadratic elements: === hypufl/HyperElasticityFung_a_F.timing [((0.0001975,), (6.6500000000000004e-05,), ())] === hypufl/HyperElasticityFung_a_J.timing [((0.0040699999999999998,), (0.0016969999999999999,), ())] === hypufl/HyperElasticityFung_a_f.timing [((1.6569999999999999e-05,), (), ())] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/clean.sh0000755000175000017500000000006611672223006023411 0ustar johannrjohannr#!/bin/bash rm -rf SFCJit_* instant-clean rm -f *.pyc syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/0000755000175000017500000000000011674103626023733 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/Heat_L.ref0000644000175000017500000000040011672223006025550 0ustar johannrjohannrcnumpy.core.multiarray _reconstruct p0 (cnumpy ndarray p1 (I0 tp2 S'b' p3 tp4 Rp5 (I1 (I3 I1 tp6 cnumpy dtype p7 (S'f8' p8 I0 I1 tp9 Rp10 (I3 S'<' p11 NNNI-1 I-1 I0 tp12 bI00 S'\xec\xcb\xf3\x02\xc6t+@\xde\x12\x16\x06\xc1\xf8-@x\xfb\x9b\x04^>0@' p13 tp14 b.syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/README0000644000175000017500000000000011672223006024572 0ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/Mass_a.ref0000644000175000017500000000066411672223006025633 0ustar johannrjohannrcnumpy.core.multiarray _reconstruct p0 (cnumpy ndarray p1 (I0 tp2 S'b' p3 tp4 Rp5 (I1 (I3 I3 tp6 cnumpy dtype p7 (S'f8' p8 I0 I1 tp9 Rp10 (I3 S'<' p11 NNNI-1 I-1 I0 tp12 bI00 S'\xfe"\x01\x05\xae\xdd\xe6?\x83D\x01\x05\xae\xdd\xd6?\x83D\x01\x05\xae\xdd\xd6?\x83D\x01\x05\xae\xdd\xd6?\x90\x87\x01\x05\xae\xdd\xe6?\x15\xa9\x01\x05\xae\xdd\xd6?\x83D\x01\x05\xae\xdd\xd6?\x15\xa9\x01\x05\xae\xdd\xd6?\x8f\x87\x01\x05\xae\xdd\xe6?' p13 tp14 b.syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/Heat_a.ref0000644000175000017500000000060711672223006025606 0ustar johannrjohannrcnumpy.core.multiarray _reconstruct p0 (cnumpy ndarray p1 (I0 tp2 S'b' p3 tp4 Rp5 (I1 (I3 I3 tp6 cnumpy dtype p7 (S'f8' p8 I0 I1 tp9 Rp10 (I3 S'<' p11 NNNI-1 I-1 I0 tp12 bI00 S'\x976)\x86\x9bG\x03@\xc6\xb6\n)\x8c\x95\xd7\xbf{\x17\x1d\xfaK\x98\xe3\xbf\xc4\xb6\n)\x8c\x95\xd7\xbf4=\x0c=\xaf\x7f\x0b@\x8aM\xd4jM<\xfa\xbf{\x17\x1d\xfaK\x98\xe3\xbf\x8aM\xd4jM<\xfa\xbf:,r\xb6\x10s\r@' p13 tp14 b.syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/reference/Stiffness_a.ref0000644000175000017500000000063111672223006026666 0ustar johannrjohannrcnumpy.core.multiarray _reconstruct p0 (cnumpy ndarray p1 (I0 tp2 S'b' p3 tp4 Rp5 (I1 (I3 I3 tp6 cnumpy dtype p7 (S'f8' p8 I0 I1 tp9 Rp10 (I3 S'<' p11 NNNI-1 I-1 I0 tp12 bI00 S'\xe9\xd27q\xff\xd3\xda?pa\xd3\x9b8\xf8\xc6\xbfaD\x9cF\xc6\xaf\xce\xbfpa\xd3\x9b8\xf8\xc6\xbf_,61\xef\x8a\xe5?\x07\xa8\x82\x14\xc2\x99\xdf\xbfaD\x9cF\xc6\xaf\xce\xbf\x07\xa8\x82\x14\xc2\x99\xdf\xbf\x1ce\xe8\x9b\xd2x\xe7?' p13 tp14 b.syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/0000755000175000017500000000000011674103626022563 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/0000755000175000017500000000000011674103626024355 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/HyperElasticity1D.ufl0000644000175000017500000000045511672223006030371 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # cell = interval element = FiniteElement("CG", cell, 2) u = Function(element) b = Constant(cell) K = Constant(cell) E = u.dx(0) + u.dx(0)**2 / 2 E = variable(E) Q = b*E**2 psi = K*(exp(Q)-1) f = psi*dx F = derivative(f, u) J = derivative(-F, u) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SimpleDiff3.ufl0000644000175000017500000000074211672223006027166 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # cell = triangle velement = VectorElement("Lagrange", cell, 1) selement = VectorElement("Lagrange", cell, 1) u = Function(velement) du = u[i].dx(i) du = variable(du) p = du**4/2 s = diff(p, du) f = s*dx F = derivative(f, u) J = derivative(F, u) forms = [f, F, J] #from ufl.algorithms import expand_derivatives #a = f #print "------" #print a #print str(expand_derivatives(a)) #print repr(expand_derivatives(a)) #print "------" syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/ConvectionJacobi.ufl0000644000175000017500000000035011672223006030273 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = VectorElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = dot(dot(u, grad(w)) + dot(w, grad(u)), v) * dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/P5tri.ufl0000644000175000017500000000142411672223006026062 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A fifth degree Lagrange finite element on a triangle element = FiniteElement("Lagrange", "triangle", 5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Elasticity.ufl0000644000175000017500000000044211672223006027170 0ustar johannrjohannr# # Author: Anders Logg # Modified by: Martin Sandve Alnes # Date: 2009-01-12 # element = VectorElement("Lagrange", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) def epsilon(v): Dv = grad(v) return 0.5*(Dv + Dv.T) a = inner(epsilon(v), epsilon(u))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/StiffnessAD.ufl0000644000175000017500000000061011672223006027224 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-30 # element = FiniteElement("Lagrange", triangle, 1) w = Function(element) # H1 semi-norm f = inner(grad(w), grad(w))/2*dx # grad(w) : grad(v) b = derivative(f, w) # stiffness matrix, grad(u) : grad(v) a = derivative(b, w) # adjoint, grad(v) : grad(u) astar = adjoint(a) # action of adjoint, grad(v) : grad(w) astaraction = action(astar) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/HyperElasticity.ufl0000644000175000017500000000334511672223006030205 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 2) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # Fiber field A = Function(A_element) # External forces T = Function(u_element) p0 = Function(p_element) N = cell.n # Material parameters FIXME rho = Constant(cell) K = Constant(cell) c00 = Constant(cell) c11 = Constant(cell) c22 = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # Left Cauchy-Green deformation tensor B = F*F.T I1_B = tr(B) I2_B = (I1_B**2 - tr(B*B))/2 I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F I1_C = tr(C) I2_C = (I1_C**2 - tr(C*C))/2 I3_C = J**2 # Green strain tensor E = (C-I)/2 # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function W(Q(Ef)) Q = c00*Ef[0,0]**2 + c11*Ef[1,1]**2 + c22*Ef[2,2]**2 # FIXME: insert some simple law here W = (K/2)*(exp(Q) - 1) # + p stuff # First Piola-Kirchoff stress tensor P = diff(W, F) # Acceleration term discretized with finite differences k = dt/rho acc = (u - 2*up + upp) # Residual equation # FIXME: Can contain errors, not tested! a_F = (acc, v)*dx \ + k*inner(P, grad(v))*dx \ - k*dot(J*Finv*T, v)*ds(0) \ - k*dot(J*Finv*p0*N, v)*ds(1) # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Export forms forms = [a_F, a_J] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/P5tet.ufl0000644000175000017500000000143211672223006026057 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A fifth degree Lagrange finite element on a tetrahedron element = FiniteElement("Lagrange", "tetrahedron", 5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/MixedMixedElement.ufl0000644000175000017500000000143011672223006030423 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A mixed element of mixed elements P3 = FiniteElement("Lagrange", "triangle", 3) element = (P3 + P3) + (P3 + P3) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/README0000644000175000017500000000030111672223006025220 0ustar johannrjohannrTo run these demos from within the source tree without needing to install UFL system-wide, update your paths according to export PATH="../scripts:$PATH" export PYTHONPATH="..:$PYTHONPATH" syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Source.ufl0000644000175000017500000000024511672223006026317 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) f = Function(element) a = f*v*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/NeumannProblem.ufl0000644000175000017500000000176011672223006030004 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation with Neumann boundary conditions. element = VectorElement("Lagrange", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) g = Function(element) a = inner(grad(v), grad(u))*dx L = inner(v, f)*dx + inner(v, g)*ds syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/MixedElasticity.ufl0000644000175000017500000000112711672223006030160 0ustar johannrjohannr# # Author: Marie Rognes # Date: 2008-10-03 # cell = triangle k = 1 S = VectorElement("BDM", cell, k) V = VectorElement("Discontinuous Lagrange", cell, k-1) Q = TensorElement("Discontinuous Lagrange", cell, k-1) #, \ # symmetry = "skew") # FIXME: Implement something like this MX = MixedElement(S, V, Q) (tau, v, eta) = TestFunctions(MX) (sigma, u, gamma) = TrialFunctions(MX) #print sigma.shape() #print u.shape() #print gamma.shape() a2 = (inner(sigma, tau) - tr(sigma)*tr(tau) \ + dot(div(tau), u) - dot(div(sigma), v) \ + inner(tau,gamma) + inner(eta,sigma))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/ConvectionVector.ufl0000644000175000017500000000027511672223006030354 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = VectorElement("Lagrange", triangle, 1) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(w)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Equation.ufl0000644000175000017500000000302311672223006026641 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Specification of a system F(v, u) = 0 and extraction of # the bilinear and linear forms a and L for the left- and # right-hand sides: # # F(v, u) = a(v, u) - L(v) = 0 # # The example below demonstrates the specification of the # linear system for a cG(1)/Crank-Nicholson time step for # the heat equation. # # The below formulation is equivalent to writing # # a = v*u*dx + 0.5*k*dot(grad(v), grad(u))*dx # L = v*u0*dx - 0.5*k*dot(grad(v), grad(u0))*dx # # but instead of manually shuffling terms not including # the unknown u to the right-hand side, all terms may # be listed on one line and left- and right-hand sides # extracted by lhs() and rhs(). element = FiniteElement("Lagrange", "triangle", 1) k = 0.1 v = TestFunction(element) u = TrialFunction(element) u0 = Function(element) F = v*(u - u0)*dx + k*dot(grad(v), grad(0.5*(u0 + u)))*dx a = lhs(F) L = rhs(F) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/NavierStokes.ufl0000644000175000017500000000201611672223006027472 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes # # Last changed: 2009-03-02 # # The bilinear form for the nonlinear term in the # Navier-Stokes equations with fixed convective velocity. cell = tetrahedron element = VectorElement("Lagrange", cell, 1) v = TestFunction(element) u = TrialFunction(element) w = Function(element) Du = grad(u) a = dot( dot(w, Du), v )*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/QuadratureElement.ufl0000644000175000017500000000234211672223006030506 0ustar johannrjohannr# Copyright (C) 2008 Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-03-31 # Last changed: 2008-03-31 # # The linearised bilinear form a(u,v) and linear form L(v) for # the nonlinear equation - div (1+u) grad u = f (non-linear Poisson) element = FiniteElement("Lagrange", "triangle", 2) QE = FiniteElement("Quadrature", "triangle", 3) sig = VectorElement("Quadrature", "triangle", 3) v = TestFunction(element) u = TrialFunction(element) u0= Function(element) C = Function(QE) sig0 = Function(sig) f = Function(element) a = v.dx(i)*C*u.dx(i)*dx + v.dx(i)*2*u0*u*u0.dx(i)*dx L = v*f*dx - dot(grad(v), sig0)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SubDomain.ufl0000644000175000017500000000165011672223006026741 0ustar johannrjohannr# Copyright (C) 2008 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This example illustrates how to define a form over a # given subdomain of a mesh, in this case a functional. element = FiniteElement("CG", "tetrahedron", 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) M = f*dx(2) + f*ds(5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/ExplicitConvection.ufl0000644000175000017500000000033011672223006030663 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = VectorElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(u)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/NonlinearPoisson.ufl0000644000175000017500000000045411672223006030361 0ustar johannrjohannr# nonlinear_poisson.ufl element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) u0 = Function(element) f = Function(element) a = (1+u0**2)*dot(grad(v), grad(u))*dx \ + 2*u0*u*dot(grad(v), grad(u0))*dx L = v*f*dx - (1+u0**2)*dot(grad(v), grad(u0))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/L2norm.ufl0000644000175000017500000000021411672223006026224 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) f = Function(element) a = f**2*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SimpleDiff.ufl0000644000175000017500000000021711672223006027100 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) f = Function(element) a = f.dx(0)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SimpleDiff5.ufl0000644000175000017500000000076711672223006027177 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # cell = triangle velement = VectorElement("Lagrange", cell, 1) selement = VectorElement("Lagrange", cell, 1) u = Function(velement) v = TestFunction(velement) Du = grad(u) Du = variable(Du) p = exp(Du[0,0]**2) S = diff(p, Du) F2 = inner(S, grad(v))*dx J2 = derivative(F2, u) a = J2 L = F2 #from ufl.algorithms import expand_derivatives #print "------" #print a #print str(expand_derivatives(a)) #print repr(expand_derivatives(a)) #print "------" syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/ConvectionJacobi2.ufl0000644000175000017500000000035111672223006030356 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = VectorElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = (u[j]*w[i].dx(j) + w[j]*u[i].dx(j)) * v[i] * dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Heat.ufl0000644000175000017500000000230611672223006025740 0ustar johannrjohannr# Copyright (C) 2005-2009 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # The bilinear form a(v, u1) and linear form L(v) for # one backward Euler step with the heat equation. cell = triangle element = FiniteElement("Lagrange", cell, 1) v = TestFunction(element) # Test function u1 = TrialFunction(element) # Value at t_n u0 = Function(element) # Value at t_n-1 c = Function(element) # Heat conductivity f = Function(element) # Heat source k = Constant(cell) # Time step a = v*u1*dx + k*c*dot(grad(v), grad(u1))*dx L = v*u0*dx + k*v*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/ProjectionSystem.ufl0000644000175000017500000000023711672223006030401 0ustar johannrjohannr element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) a = u*v*dx L = f*v*dx b = a + L syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/PoissonDG.ufl0000644000175000017500000000255311672223006026730 0ustar johannrjohannr# Copyright (C) 2006-2007 Kristiand Oelgaard and Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2006-12-05 # Last changed: 2007-07-15 # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation in a discontinuous Galerkin (DG) # formulation. element = FiniteElement("Discontinuous Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) n = triangle.n h = Constant(triangle) gN = Function(element) alpha = 4.0 gamma = 8.0 a = inner(grad(v), grad(u))*dx \ - inner(avg(grad(v)), jump(u, n))*dS \ - inner(jump(v, n), avg(grad(u)))*dS \ + alpha/h('+')*dot(jump(v, n), jump(u, n))*dS \ - inner(grad(v), u*n)*ds \ - inner(v*n, grad(u))*ds \ + gamma/h*v*u*ds L = v*f*dx + v*gN*ds syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Stiffness.ufl0000644000175000017500000000027311672223006027024 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) a = dot(grad(u), grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SimpleDiff2.ufl0000644000175000017500000000032311672223006027160 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # cell = triangle element = VectorElement("Lagrange", cell, 1) f = Function(element) I = Identity(cell.d) a = f[i].dx(i)*I[j,j]*dx a = f[i].dx(i) *dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/PoissonSystem.ufl0000644000175000017500000000203211672223006027712 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Last changed: 2009-03-02 # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation in system form (vector-valued). cell = triangle element = VectorElement("Lagrange", cell, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) a = inner(grad(v), grad(u))*dx L = dot(v, f)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/TensorWeightedPoisson.ufl0000644000175000017500000000173511672223006031372 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # tensor-weighted Poisson's equation. P1 = FiniteElement("Lagrange", "triangle", 1) P0 = TensorElement("Discontinuous Lagrange", "triangle", 0, shape=(2, 2)) v = TestFunction(P1) u = TrialFunction(P1) C = Function(P0) a = inner(grad(v), C*grad(u))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SubDomains.ufl0000644000175000017500000000202611672223006027122 0ustar johannrjohannr# Copyright (C) 2008 Anders Logg and Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This simple example illustrates how forms can be defined on different sub domains. # It is supported for all three integral types. element = FiniteElement("CG", "tetrahedron", 1) v = TestFunction(element) u = TrialFunction(element) a = v*u*dx(0) + 10.0*v*u*dx(1) + v*u*ds(0) + 2.0*v*u*ds(1) + v('+')*u('+')*dS(0) + 4.3*v('+')*u('+')*dS(1) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Mass.ufl0000644000175000017500000000161411672223006025763 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Last changed: 2009-03-02 # # The bilinear form for a mass matrix. element = FiniteElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) a = v*u*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/SimpleDiff4.ufl0000644000175000017500000000076611672223006027175 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # cell = triangle velement = VectorElement("Lagrange", cell, 1) selement = VectorElement("Lagrange", cell, 1) u = Function(velement) v = TestFunction(velement) Du = grad(u) Du = variable(Du) p = exp(Du[0,0]**2) f = p*dx F = derivative(f, u, v) J = derivative(F, u) forms = [f, F, J] #from ufl.algorithms import expand_derivatives #a = J #print "------" #print a #print str(expand_derivatives(a)) #print repr(expand_derivatives(a)) #print "------" syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/VectorLaplaceGradCurl.ufl0000644000175000017500000000254611672223006031235 0ustar johannrjohannr# Copyright (C) 2007 Marie Rognes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for the Hodge Laplace # problem using 0- and 1-forms. Intended to demonstrate use of Nedelec # elements. def HodgeLaplaceGradCurl(element, felement): tau, v = TestFunctions(element) sigma, u = TrialFunctions(element) f = Function(felement) a = ( inner(tau, sigma) - inner(grad(tau), u) +\ inner(v, grad(sigma)) + inner(curl(v), curl(u)) )*dx L = inner(v, f)*dx return a, L cell = tetrahedron order = 1 GRAD = FiniteElement("Lagrange", cell, order) CURL = FiniteElement("N1curl", cell, order-1) VectorLagrange = VectorElement("Lagrange", cell, order+1) a, L = HodgeLaplaceGradCurl(GRAD + CURL, VectorLagrange) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/EnergyNorm.ufl0000644000175000017500000000163011672223006027143 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This example demonstrates how to define a functional, here # the energy norm (squared) for a reaction-diffusion problem. element = FiniteElement("Lagrange", "tetrahedron", 1) v = Function(element) a = (v*v + dot(grad(v), grad(v)))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/PowAD.ufl0000644000175000017500000000032711672223006026032 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) w = Function(element) a = w**5*v*dx b = derivative(a, w) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/MixedPoisson2.ufl0000644000175000017500000000055511672223006027566 0ustar johannrjohannr# # Author: Marie Rognes # Modified by: Martin Sandve Alnes # Date: 2009-02-12 # cell = tetrahedron RT = FiniteElement("Raviart-Thomas", cell, 1) DG = FiniteElement("DG", cell, 0) MX = RT + DG (u, p) = TrialFunctions(MX) (v, q) = TestFunctions(MX) n = cell.n a0 = (dot(u, v) + div(u)*q + div(v)*p)*dx a1 = (dot(u, v) + div(u)*q + div(v)*p)*dx - p*dot(v, n)*ds syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Constant.ufl0000644000175000017500000000175511672223006026657 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Test form for scalar and vector constants. cell = triangle element = FiniteElement("Lagrange", cell, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) c = Constant(cell) d = VectorConstant(cell) a = c*dot(grad(v), grad(u))*dx L = inner(d, grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Stokes.ufl0000644000175000017500000000216111672223006026326 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Last changed: 2009-03-02 # # The bilinear form a(v, u) and Linear form L(v) for the Stokes # equations using a mixed formulation (Taylor-Hood elements). cell = triangle P2 = VectorElement("Lagrange", cell, 2) P1 = FiniteElement("Lagrange", cell, 1) TH = P2 + P1 (v, q) = TestFunctions(TH) (u, p) = TrialFunctions(TH) f = Function(P2) a = (inner(grad(v), grad(u)) - div(v)*p + q*div(u))*dx L = dot(v, f)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/FunctionOperators.ufl0000644000175000017500000000165711672223006030553 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Test form for operators on Functions. element = FiniteElement("Lagrange", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) g = Function(element) a = sqrt(1/abs(1/f))*sqrt(g)*dot(grad(v), grad(u))*dx + v*u*sqrt(f*g)*g*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/HornSchunck.ufl0000644000175000017500000000121511672223006027302 0ustar johannrjohannr# # Implemented by imitation of # http://code.google.com/p/debiosee/wiki/DemosOptiocFlowHornSchunck # but not tested so this could contain errors! # # Finite element spaces for scalar and vector fields cell = triangle S = FiniteElement("CG", cell, 1) V = VectorElement("CG", cell, 1) # Optical flow function u = Function(V) # Previous image brightness I0 = Function(S) # Current image brightness I1 = Function(S) # Regularization parameter lamda = Constant(cell) # Functional to minimize M = (dot(u, grad(I1)) + (I1-I0))**2 * dx\ + lamda*inner(grad(u), grad(u)) * dx # Derived linear system L = derivative(M, u) a = derivative(L, u) L = -L syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/H1norm.ufl0000644000175000017500000000025111672223006026220 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) f = Function(element) a = ( f*f + dot(grad(f), grad(f)) ) * dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/TupleNotation.ufl0000644000175000017500000000024311672223006027662 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 # element = FiniteElement("Lagrange", triangle, 1) f = Function(element) a = f**2*dx + (grad(f), grad(f))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/Poisson.ufl0000644000175000017500000000206611672223006026514 0ustar johannrjohannr# Copyright (C) 2004-2008 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Last changed: 2009-03-02 # # The bilinear form a(v, u) and linear form L(v) for Poisson's equation. element = FiniteElement("Lagrange", triangle, 1) u = TrialFunction(element) v = TestFunction(element) f = Function(element) dx0_1 = dx(0, {"quadrature_order": 1}) dx0_2 = dx(0, {"quadrature_order": 2}) a = dot(grad(v), grad(u))*dx0_1 L = v*f*dx0_2 syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/MassAD.ufl0000644000175000017500000000034011672223006026163 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-28 # element = FiniteElement("Lagrange", triangle, 1) u = Function(element) # L2 norm f = u**2/2*dx # source vector b = derivative(f, u) # mass matrix a = derivative(b, u) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ufl_demo/MixedPoisson.ufl0000644000175000017500000000230311672223006027475 0ustar johannrjohannr# Copyright (C) 2006-2009 Anders Logg and Marie Rognes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Martin Sandve Alnes, 2009. # # Last changed: 2009-01-12 # # The bilinear form a(v, u) and linear form L(v) for # a mixed formulation of Poisson's equation with BDM # (Brezzi-Douglas-Marini) elements. cell = triangle BDM1 = FiniteElement("Brezzi-Douglas-Marini", cell, 1) DG0 = FiniteElement("Discontinuous Lagrange", cell, 0) element = BDM1 + DG0 (tau, w) = TestFunctions(element) (sigma, u) = TrialFunctions(element) f = Function(DG0) a = (dot(tau, sigma) - div(tau)*u + w*div(sigma))*dx L = w*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/hyperelasticity/0000755000175000017500000000000011674103626026005 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/hyperelasticity/HyperElasticity1D.ufl0000644000175000017500000000116511672223006032020 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 -- 2009-03-09 # cell = interval element = FiniteElement("CG", cell, 1) v = TestFunction(element) w = TrialFunction(element) u = Function(element) b = Constant(cell) K = Constant(cell) g = Function(element) F = 1 + u.dx(0) F = variable(F) C = F**2 #J = sqrt(F**2) E = (C-1)/2 Q = b*E**2 psi = K*(exp(Q)-1) # + ln(J)*(J-1) # TODO: Use some simpler law for this demo P = diff(psi, F) f = psi*dx #f = (psi - g*u)*dx F = (inner(P, v.dx(0)) + g*v)*dx #F = derivative(f, u, v) J = derivative(F, u, w) #F = -F # Newton steps require negated rhs (not in dolfin!) forms = [f, F, J] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/hyperelasticity/HyperElasticityFung.ufl0000644000175000017500000000433111672223006032451 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-12 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("DG", cell, 0) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # Fiber field A = Function(A_element) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) K = Constant(cell) C_compr = Constant(cell) bff = Constant(cell) bfx = Constant(cell) bxx = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # Left Cauchy-Green deformation tensor #B = F*F.T #I1_B = tr(B) #I2_B = (I1_B**2 - tr(B*B))/2 #I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F #I1_C = tr(C) #I2_C = (I1_C**2 - tr(C*C))/2 #I3_C = J**2 # Green strain tensor E = (C-I)/2 # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function psi(Q(Ef)) Q = bff * Ef[0,0]**2 + \ bxx * (Ef[1,1]**2 + Ef[2,2]**2 + Ef[1,2]**2 + Ef[2,1]**2) + \ bfx * (Ef[0,1]**2 + Ef[0,2]**2 + Ef[1,0]**2 + Ef[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*ln(J) - J + 1) # First Piola-Kirchoff stress tensor P = diff(psi, F) # Alternative: #S = 2*diff(psi, C) #P = F*S # Active forces TODO: Define nonzero active forces S_a = 0*I P_a = F*S_a # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? a_F = (dot(a, v) + k*inner(P + P_a, grad(v)) - dot(g, v))*dx - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Newton solver solves J du = -F, so we'll flip the sign here FIXME: What is right? #a_F = -a_F # TODO: Add some forms for computing stress and strain from a solution forms = [a_f, a_F, a_J] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/hyperelasticity/HyperElasticitySVK.ufl0000644000175000017500000000504411672223006032217 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-16 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) lamda = Constant(cell) mu = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T Finv = inv(F) J = det(F) # Right Cauchy-Green deformation tensor C = F.T*F # Green strain tensor E = (C-I)/2 E = variable(E) # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff law psi = lamda/2 * tr(E)**2 + mu * inner(E, E) # First Piola-Kirchoff stress tensor P = F*diff(psi, E) # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? a_F = (dot(a, v) + k*inner(P, grad(v)) - dot(g, v))*dx - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Newton solver in DOLFIN solves J (-du) = F, so we don't need to flip the sign of F. However, this isn't a good thing because passing a linear system to the Newton solver will lead to incorrect answer. #a_F = -a_F # Some forms for computing stress and strain from a solution def projection_system(value, degree=1): if value.rank() == 0: element = FiniteElement("CG", cell, degree) elif value.rank() == 1: element = VectorElement("CG", cell, degree) elif value.rank() == 2: element = TensorElement("CG", cell, degree) test = TestFunction(element) trial = TrialFunction(element) assert value.shape() == test.shape() assert value.shape() == trial.shape() a = inner(trial - value, test) * dx a, L = lhs(a), rhs(a) return a, L projection_a_div_u, projection_L_div_u = projection_system(div(u)) projection_a_J, projection_L_J = projection_system(J) projection_a_psi, projection_L_psi = projection_system(psi) # Export forms forms = [a_f, a_F, a_J, projection_a_div_u, projection_L_div_u, projection_a_J, projection_L_J, projection_a_psi, projection_L_psi] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/README0000644000175000017500000000000011672223006023422 0ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/0000755000175000017500000000000011674103626024325 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/P5tri.ufl0000644000175000017500000000150011672223006026025 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A fifth degree Lagrange finite element on a triangle # # Compile this form with FFC: ffc P5tri.ufl element = FiniteElement("Lagrange", triangle, 5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Elasticity.ufl0000644000175000017500000000203311672223006027136 0ustar johannrjohannr# Copyright (C) 2005 Johan Jansson # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Anders Logg, 2005-2007. # # The bilinear form e(v) : e(u) for linear # elasticity with e(v) = 1/2 (grad(v) + grad(v)^T) # # Compile this form with FFC: ffc Elasticity.ufl element = VectorElement("Lagrange", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) def eps(v): return grad(v) + (grad(v)).T a = 0.25*inner(eps(v), eps(u))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/P5tet.ufl0000644000175000017500000000150611672223006026031 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A fifth degree Lagrange finite element on a tetrahedron # # Compile this form with FFC: ffc P5tet.ufl element = FiniteElement("Lagrange", tetrahedron, 5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/MixedMixedElement.ufl0000644000175000017500000000152011672223006030373 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # A mixed element of mixed elements # # Compile this form with FFC: ffc MixedMixedElement.ufl P3 = FiniteElement("Lagrange", triangle, 3) element = (P3 + P3) + (P3 + P3) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/NeumannProblem.ufl0000644000175000017500000000204411672223006027750 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation with Neumann boundary conditions. # # Compile this form with FFC: ffc NeumannProblem.ufl element = VectorElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) g = Function(element) a = inner(grad(v), grad(u))*dx L = inner(v, f)*dx + inner(v, g)*ds syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Equation.ufl0000644000175000017500000000325011672223006026613 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Specification of a system F(v, u) = 0 and extraction of # the bilinear and linear forms a and L for the left- and # right-hand sides: # # F(v, u) = a(v, u) - L(v) = 0 # # The example below demonstrates the specification of the # linear system for a cG(1)/Crank-Nicholson time step for # the heat equation. # # The below formulation is equivalent to writing # # a = v*u*dx + 0.5*k*inner(grad(v), grad(u))*dx # L = v*u0*dx - 0.5*k*inner(grad(v), grad(u0))*dx # # but instead of manually shuffling terms not including # the unknown u to the right-hand side, all terms may # be listed on one line and left- and right-hand sides # extracted by lhs() and rhs(). # # Compile this form with FFC: ffc Equation.ufl element = FiniteElement("Lagrange", triangle, 1) k = 0.1 v = TestFunction(element) u = TrialFunction(element) u0 = Function(element) F = v*(u - u0)*dx + k*inner(grad(v), grad(0.5*(u0 + u)))*dx a = lhs(F) L = rhs(F) #a = v*u*dx + 0.5*k*inner(grad(v), grad(u))*dx #L = v*u0*dx - 0.5*k*inner(grad(v), grad(u0))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/NavierStokes.ufl0000644000175000017500000000175211672223006027450 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form for the nonlinear term in the # Navier-Stokes equations with fixed convective velocity. # # Compile this form with FFC: ffc NavierStokes.ufl element = VectorElement("Lagrange", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) w = Function(element) a = v[i]*w[j]*Dx(u[i], j)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/QuadratureElement.ufl0000644000175000017500000000242711672223006030462 0ustar johannrjohannr# Copyright (C) 2008 Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-03-31 # Last changed: 2008-03-31 # # The linearised bilinear form a(u,v) and linear form L(v) for # the nonlinear equation - div (1+u) grad u = f (non-linear Poisson) # # Compile this form with FFC: ffc QuadratureElement.ufl element = FiniteElement("Lagrange", triangle, 2) QE = FiniteElement("Quadrature", triangle, 3) sig = VectorElement("Quadrature", triangle, 3) v = TestFunction(element) u = TrialFunction(element) u0= Function(element) C = Function(QE) sig0 = Function(sig) f = Function(element) a = v.dx(i)*C*u.dx(i)*dx + v.dx(i)*2*u0*u*u0.dx(i)*dx L = v*f*dx - inner(grad(v), sig0)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/SubDomain.ufl0000644000175000017500000000172711672223006026716 0ustar johannrjohannr# Copyright (C) 2008 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This example illustrates how to define a form over a # given subdomain of a mesh, in this case a functional. # # Compile this form with FFC: ffc SubDomain.ufl element = FiniteElement("CG", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) M = f*dx(2) + f*ds(5) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Heat.ufl0000644000175000017500000000227311672223006025713 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u1) and linear form L(v) for # one backward Euler step with the heat equation. # # Compile this form with FFC: ffc Heat.ufl element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) # Test function u1 = TrialFunction(element) # Value at t_n u0 = Function(element) # Value at t_n-1 c = Function(element) # Heat conductivity f = Function(element) # Heat source k = Constant(triangle) # Time step a = v*u1*dx + k*c*inner(grad(v), grad(u1))*dx L = v*u0*dx + k*v*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/PoissonDG.ufl0000644000175000017500000000311011672223006026666 0ustar johannrjohannr# Copyright (C) 2006-2007 Kristiand Oelgaard and Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2006-12-05 # Last changed: 2007-07-15 # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation in a discontinuous Galerkin (DG) # formulation. # # Compile this form with FFC: ffc PoissonDG.ufl # Elements element = FiniteElement("Discontinuous Lagrange", triangle, 1) # Test and trial functions v = TestFunction(element) u = TrialFunction(element) f = Function(element) # Normal component, mesh size and right-hand side n = VectorConstant(triangle) h = Constant(triangle) # Neumann boundary conditions gN = Function(element) # Parameters alpha = 4.0 gamma = 8.0 # Bilinear form a = inner(grad(v), grad(u))*dx \ - inner(avg(grad(v)), jump(u, n))*dS \ - inner(jump(v, n), avg(grad(u)))*dS \ + alpha/h('+')*inner(jump(v, n), jump(u, n))*dS \ - inner(grad(v), u*n)*ds \ - inner(v*n, grad(u))*ds \ + gamma/h*v*u*ds # Linear form L = v*f*dx + v*gN*ds syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/PoissonSystem.ufl0000644000175000017500000000177211672223006027674 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation in system form (vector-valued). # # Compile this form with FFC: ffc PoissonSystem.ufl element = VectorElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) a = inner(grad(v), grad(u))*dx L = inner(v, f)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Optimization.ufl0000644000175000017500000000172511672223006027521 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation. # # Compile this form with FFC: ffc -O Optimization.ufl element = FiniteElement("Lagrange", triangle, 3) v = TestFunction(element) u = TrialFunction(element) f = Function(element) a = inner(grad(v), grad(u))*dx L = v*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/TensorWeightedPoisson.ufl0000644000175000017500000000205611672223006031337 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # tensor-weighted Poisson's equation. # # Compile this form with FFC: ffc TensorWeightedPoisson.ufl P1 = FiniteElement("Lagrange", triangle, 1) P0 = TensorElement("Discontinuous Lagrange", triangle, 0, (2, 2)) v = TestFunction(P1) u = TrialFunction(P1) f = Function(P1) C = Function(P0) a = inner(grad(v), C*grad(u))*dx #L = v*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/SubDomains.ufl0000644000175000017500000000210611672223006027071 0ustar johannrjohannr# Copyright (C) 2008 Anders Logg and Kristian B. Oelgaard # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This simple example illustrates how forms can be defined on different sub domains. # It is supported for all three integral types. # # Compile this form with FFC: ffc SubDomains.ufl element = FiniteElement("CG", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) a = v*u*dx(0) + 10.0*v*u*dx(1) + v*u*ds(0) + 2.0*v*u*ds(1) + v('+')*u('+')*dS(0) + 4.3*v('+')*u('+')*dS(1) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Mass.ufl0000644000175000017500000000157011672223006025734 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form for a mass matrix. # # Compile this form with FFC: ffc Mass.ufl element = FiniteElement("Lagrange", tetrahedron, 3) v = TestFunction(element) u = TrialFunction(element) a = v*u*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/VectorLaplaceGradCurl.ufl0000644000175000017500000000335011672223006031177 0ustar johannrjohannr# Copyright (C) 2007 Marie Rognes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for the Hodge Laplace # problem using 0- and 1-forms. Intended to demonstrate use of N1curl # elements. # Compile this form with FFC: ffc VectorLaplaceGradCurl.ufl def HodgeLaplaceGradCurl(element, felement): """This is a formulation of the Hodge Laplacian using k=1 and n=3, i.e 0-forms and 1-forms in 3D. Appropriate elements are GRAD \times CURL = Lagrange_r \ times Ned^1_{r-1} Lagrange_{r+1} \ times Ned^2_{r} Only the 1st kind of N1curl elements are implemented in FIAT. """ (tau, v) = TestFunctions(element) (sigma, u) = TrialFunctions(element) f = Function(felement) a = (inner(tau, sigma) - inner(grad(tau), u) + inner(v, grad(sigma)) + inner(curl(v), curl(u)))*dx L = inner(v, f)*dx return [a, L] shape = tetrahedron order = 1 GRAD = FiniteElement("Lagrange", shape, order) CURL = FiniteElement("N1curl", shape, order-1) VectorLagrange = VectorElement("Lagrange", shape, order+1) [a, L] = HodgeLaplaceGradCurl(GRAD + CURL, VectorLagrange) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/EnergyNorm.ufl0000644000175000017500000000171211672223006027114 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # This example demonstrates how to define a functional, here # the energy norm (squared) for a reaction-diffusion problem. # # Compile this form with FFC: ffc EnergyNorm.ufl element = FiniteElement("Lagrange", tetrahedron, 1) v = Function(element) a = (v*v + inner(grad(v), grad(v)))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Constant.ufl0000644000175000017500000000176011672223006026623 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Test form for scalar and vector constants. # # Compile this form with FFC: ffc Constant.ufl element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) c = Constant(triangle) d = VectorConstant(triangle) a = c*inner(grad(v), grad(u))*dx L = inner(d, grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Stokes.ufl0000644000175000017500000000212111672223006026272 0ustar johannrjohannr# Copyright (C) 2005-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and Linear form L(v) for the Stokes # equations using a mixed formulation (Taylor-Hood elements). # # Compile this form with FFC: ffc Stokes.ufl P2 = VectorElement("Lagrange", triangle, 2) P1 = FiniteElement("Lagrange", triangle, 1) TH = P2 + P1 (v, q) = TestFunctions(TH) (u, p) = TrialFunctions(TH) f = Function(P2) a = (inner(grad(v), grad(u)) - div(v)*p + q*div(u))*dx L = inner(v, f)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/FunctionOperators.ufl0000644000175000017500000000175011672223006030515 0ustar johannrjohannr# Copyright (C) 2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Test form for operators on Functions. # # Compile this form with FFC: ffc FunctionOperators.ufl element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) g = Function(element) a = sqrt(1/abs(1/f))*sqrt(g)*inner(grad(v), grad(u))*dx + v*u*sqrt(f*g)*g*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/Poisson.ufl0000644000175000017500000000171511672223006026464 0ustar johannrjohannr# Copyright (C) 2004-2007 Anders Logg # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # Poisson's equation. # # Compile this form with FFC: ffc Poisson.ufl element = FiniteElement("Lagrange", triangle, 1) v = TestFunction(element) u = TrialFunction(element) f = Function(element) a = inner(grad(v), grad(u))*dx L = v*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/ffc_demo/MixedPoisson.ufl0000644000175000017500000000230111672223006027443 0ustar johannrjohannr# Copyright (C) 2006-2007 Anders Logg and Marie Rognes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # The bilinear form a(v, u) and linear form L(v) for # a mixed formulation of Poisson's equation with BDM # (Brezzi-Douglas-Marini) elements. # # Compile this form with FFC: ffc MixedPoisson.ufl q = 1 BDM = FiniteElement("Brezzi-Douglas-Marini", triangle, q) DG = FiniteElement("Discontinuous Lagrange", triangle, q - 1) mixed_element = BDM + DG (tau, w) = TestFunctions(mixed_element) (sigma, u) = TrialFunctions(mixed_element) f = Function(DG) a = (inner(tau, sigma) - div(tau)*u + w*div(sigma))*dx L = w*f*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/element_tests/0000755000175000017500000000000011674103626025436 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/element_tests/mixed.ufl0000644000175000017500000000020511672223006027242 0ustar johannrjohannr F = FiniteElement("CG", triangle, 2) #V = VectorElement("CG", triangle, 2) V = MixedElement(F, F) f = Function(V) a = dot(f,f)*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/functionals/0000755000175000017500000000000011674103626025110 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/functionals/Tetrahedron.ufl0000644000175000017500000000165111672223006030073 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = tetrahedron element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx forms = [a0, a1, a2, a3, a4, a5, a6, a7, a8] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/functionals/Triangle.ufl0000644000175000017500000000164611672223006027365 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = triangle element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx forms = [a0, a1, a2, a3, a4, a5, a6, a7, a8] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/ufl/functionals/Interval.ufl0000644000175000017500000000164711672223006027405 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = interval element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx forms = [a0, a1, a2, a3, a4, a5, a6, a7, a8] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/0000755000175000017500000000000011674103626023470 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/__init__.py0000644000175000017500000000013511672223006025571 0ustar johannrjohannr import default import quad3 import quad5 import quad7 import quad9 import quad import symb syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/quad5.py0000644000175000017500000000032711672223006025054 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "quadrature" opt.code.integral.integration_order = 5 yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/quad.py0000644000175000017500000000025311672223006024765 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "quadrature" yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/quad9.py0000644000175000017500000000032711672223006025060 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "quadrature" opt.code.integral.integration_order = 9 yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/quad7.py0000644000175000017500000000032711672223006025056 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "quadrature" opt.code.integral.integration_order = 7 yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/default.py0000644000175000017500000000016311672223006025457 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/symb.py0000644000175000017500000000025111672223006025003 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "symbolic" yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/options/quad3.py0000644000175000017500000000032711672223006025052 0ustar johannrjohannr import sfc def options(): jit = sfc.jit opt = sfc.common.options.default_options() opt.code.integral.integration_method = "quadrature" opt.code.integral.integration_order = 3 yield (jit, opt) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/test.py0000755000175000017500000005131611672223006023330 0ustar johannrjohannr#!/usr/bin/env python import sys import os import pickle import math import numpy from os.path import join as pjoin import optparse from glob import glob from ufl.algorithms import load_forms import ufc import ufc_benchmark #import sfc #import logging #sfc.set_logging_level(logging.DEBUG) # --- Basic Utilities --- inf = 1e9999 nan = inf*0 # Taken from http://ivory.idyll.org/blog/mar-07/replacing-commands-with-subprocess from subprocess import Popen, PIPE, STDOUT def get_status_output(cmd, input=None, cwd=None, env=None): pipe = Popen(cmd, shell=True, cwd=cwd, env=env, stdout=PIPE, stderr=STDOUT) (output, errout) = pipe.communicate(input=input) assert not errout status = pipe.returncode return (status, output) def runcmd(cmd): get_status_output(cmd) def write_file(filename, text): "Write text to a file and close it." f = open(filename, "w") f.write(text) f.close() print "Wrote file '%s'" % filename # --- Option Parsing Data --- usage = """Compile UFL forms, compute element tensors, and compare with reference values. Examples: FIXME: Write usage examples. """ def opt(long, short, t, default, help): return optparse.make_option("--%s" % long, "-%s" % short, action="store", type=t, dest=long, default=default, help=help) option_list = [ \ # Directories: opt("ufldir", "u", "str", "ufl", "Input directory with .ufl files."), opt("outputdir", "o", "str", "output", "Output directory to write .ref files to."), opt("referencedir", "r", "str", "reference", "Reference directory to read .ref files from."), opt("cachedir", "c", "str", "cache", "Reference directory to read .ref files from."), # Main behaviour options: opt("skip", "s", "str", "", "Comma-separated list of ufl files to skip."), opt("write", "w", "int", 0, "Write new reference files."), opt("debug", "d", "int", 0, "Print debugging info for this script."), # Form compiler options: opt("jit_options", "j", "str", "options/default.py", "Python file containing jit options."), # Comparison options: opt("tolerance", "t", "float", 1e-10, "Compare norm of data difference to this tolerance."), opt("norm", "n", "int", 1, "Compare data with references using the L2 norm of tensor difference."), opt("eig", "e", "int", 1, "Compare data with references using the eigenvalues."), opt("random_cell", "a", "int", 1, "Use a (predefined) random cell instead of reference cell."), opt("benchmark", "b", "int", 1, "Measure the time to call tabulate_tensor."), ] # --- Main routine --- def main(args): "Handle commandline arguments and orchestrate the tests." # Parse commandline arguments parser = optparse.OptionParser(usage=usage, option_list=option_list) (options, args) = parser.parse_args(args=args) if args: print "ERROR: Got additional unknown arguments: ", args parser.print_usage() return -1 # Read input directory and filter filenames skip = set(s.strip() for s in options.skip.split(",")) def skipmatch(fn): if fn in skip: return True path, name = os.path.split(fn) if name in skip: return True basename, ext = os.path.splitext(name) if basename in skip: return True return False uflfiles = glob(pjoin(options.ufldir, "*.ufl")) uflfiles = [f for f in uflfiles if not skipmatch(f)] uflfiles = sorted(uflfiles) if options.debug: print "."*40 print "Got uflfiles =" print "\n".join(" " + f for f in uflfiles) # Handle each .ufl file separately fails = [] passes = [] summaries = [] for filename in uflfiles: summary, ok = handle_file(filename, options) summaries.append(summary) if ok: passes.append(filename) else: fails.append(filename) # Print summaries print print "="*80 print "Summaries:", sep = "\n\n" + "-"*60 + "\n" print sep + sep.join(summaries) # Print files that passed and failed if passes: print "="*80 print "The following files passed:" print "\n".join(" " + f for f in sorted(passes)) if fails: print "="*80 print "The following files failed:" print "\n".join(" " + f for f in sorted(fails)) def import_options_iterator(name): "Import options iterator from a python file." assert os.path.exists(name) path, name = os.path.split(name) basename, dotpy = os.path.splitext(name) assert dotpy in (".py", "") sys.path.insert(0, path) #cwd = os.getcwd() #os.chdir(path) try: options_module = __import__(basename) iter_jit_options = options_module.options finally: sys.path.pop(0) #os.chdir(cwd) return iter_jit_options def handle_file(filename, options): "Handle all aspects of testing a single .ufl file." # Split filename uflfilename = filename path, name = os.path.split(uflfilename) basename, ext = os.path.splitext(name) if ext != ".ufl": msg = "Expecting a .ufl file, not %s" % uflfilename return (msg, False) if options.debug: print "."*40 print "In handle_file, filename parsed as:" print "filename =", filename print "uflfilename =", uflfilename print "path =", path print "name =", name print "basename =", basename print "ext =", ext # Load forms from this file try: forms = load_forms(uflfilename) except: msg = "Failed to load file, try running\n\n"\ " ufl-analyse %s\n\n"\ "to find the bug in the form file or in UFL." % uflfilename return (msg, False) formnames = [form.form_data().name for form in forms] if options.debug: print "."*40 print "In handle_file, forms loaded: ", ", ".join(formnames) # Iterate over a given set of jit compilers and options: iter_jit_options = import_options_iterator(options.jit_options) if iter_jit_options is None: msg = "Failed to import options module '%s'." % options.jit_options return (msg, False) total_ok = True summary = "" for jit, jit_options in iter_jit_options(): #jit_options.cache_dir = options.cache_dir # FIXME # Compile forms with given compiler and options try: jit_result = jit(forms, jit_options) except: msg = "Failed to jit-compile forms in file '%s'." % uflfilename raise #return (msg, False) if options.debug: print ":"*60 print "Jit result:" print jit_result # Compute some data for each form from result of jit compilation data = {} #compiled_forms = jit_result # Ideally #compiled_forms, form_datas = jit_result # Previous compiled_forms, module, form_datas = jit_result # Current for i in range(len(forms)): form_data = forms[i].form_data() assert form_data is form_datas[i] data[form_data.name] = compute_data(compiled_forms[i], form_data, options.random_cell) # Benchmark the generated tabulate_tensor implementations benchmark_data = {} if options.benchmark: for i in range(len(forms)): form_data = forms[i].form_data() assert form_data is form_datas[i] compiled_form = compiled_forms[i] result = ufc_benchmark.benchmark_forms([compiled_form], False) benchmark_data[form_data.name] = result # Store results for future referencing if options.write: outputdir = options.referencedir else: outputdir = options.outputdir if options.debug: print "."*60 print "outputdir =", outputdir for formname in formnames: outputfilename = pjoin(outputdir, "%s_%s.ref" % (basename, formname)) if options.debug: print "Writing to output filename: ", outputfilename if not data[formname].any(): print "*** Warning: reference tensor only contains zeros!" write_data(outputfilename, data[formname]) if options.benchmark: for formname in formnames: outputfilename = pjoin(outputdir, "%s_%s.timing" % (basename, formname)) if options.debug: print "Writing to output filename: ", outputfilename write_data(outputfilename, benchmark_data[formname]) # Compare to references unless we're writing the references if not options.write: # Read reference files reference = {} for formname in formnames: referencefilename = pjoin(options.referencedir, "%s_%s.ref" % (basename, formname)) if options.debug: print "Read reference filename: ", referencefilename reference[formname] = read_data(referencefilename) if options.benchmark: benchmark_reference = {} for formname in formnames: referencefilename = pjoin(options.referencedir, "%s_%s.timing" % (basename, formname)) if options.debug: print "Read reference filename: ", referencefilename benchmark_reference[formname] = read_data(referencefilename) # Compare fresh data and reference data results = [] for formname in formnames: msg, ok = compare_data(data[formname], reference[formname], options) if options.debug: print "msg =", msg print "ok = ", ok if not ok: total_ok = False results.append("--- Errors in form %s:\n" % formname) results.append(msg) else: results.append("--- Form %s is ok.\n" % formname) if options.benchmark: msg = compare_benchmark(benchmark_data[formname], benchmark_reference[formname], options) results.extend(msg) summary += "\n".join(results) # Return final report if total_ok: summary = "%s passed everything." % uflfilename else: summary = ("%s has problems:\n" % uflfilename) + summary if options.write: summary += "\n\nWrote reference files for %s." % uflfilename return (summary, total_ok) def compute_diff_norm(data, reference, options): if options.debug: print ":"*40 print "In compute_diff_norm, comparing:" print "data =" print data print "reference =" print reference # Compute difference diff = data - reference # Compute sums of squares d2 = numpy.sum(diff**2) r2 = numpy.sum(reference**2) n2 = numpy.sum(data**2) # Compute normalized norm norm = math.sqrt(d2 / r2) if options.debug: print "diff =" print diff print "d2, r2, n2=" print d2, r2, n2 # Norm from FFC, don't understand the motivation? #norm = math.sqrt(numpy.sum(diff / (1 + reference))) return norm def compute_eigenvalues(data): sh = data.shape assert sh[0] == sh[1] from scipy.linalg import eig l, v = eig(data) return numpy.array(sorted(l)) def compare_data(data, reference, options): norm = nan eig = nan msg = "" if reference is None: total_ok = False msg += "No reference to compare to." else: total_ok = True if data.shape != reference.shape: total_ok = False msg += "\n ERROR: Data shape is %s, reference shape is %s." % (data.shape, reference.shape) else: if options.norm: norm = compute_diff_norm(data, reference, options) ok = norm < options.tolerance if not ok: total_ok = False msg += "\n norm = %e >= %e = tol" % (norm, options.tolerance) if options.eig: sh = data.shape #assert len(sh) == 2 # code elsewhere ensures data is represented as a matrix if len(sh) == 1: #sh[0] == 1 or sh[1] == 1: # Got a vector, compare sorted vectors eig1 = numpy.array(sorted(data)) eig2 = numpy.array(sorted(reference)) eig = sum((eig1-eig2)**2) ok = eig < options.tolerance if not ok: total_ok = False msg += "\n eig = %e >= %e = tol" % (eig, options.tolerance) elif sh[0] == sh[1]: # Got a matrix, compare matrix eig1 = compute_eigenvalues(data) eig2 = compute_eigenvalues(reference) eig = sum((eig1-eig2)**2) ok = eig < options.tolerance if not ok: total_ok = False msg += "\n eig = %e >= %e = tol" % (eig, options.tolerance) else: if not options.norm: # if it has passed the norm test, don't mark it as failed total_ok = False msg += "\n WARNING: Not computing eigenvalues of data with shape %s" % repr(sh) # Make and return summary if total_ok: msg = "Data compared ok." else: msg = "Failed because:%s\n\ndata is\n%r\n\nreference is\n%r" % (msg, data, reference) return (msg, total_ok) def compare_benchmark(data, reference, options): msg = [] # For each form for (b1, b2) in zip(data, reference): # For each integral type for (x, y) in zip(b1, b2): # For each integral for (r,s) in zip(x,y): f = r/s if f > 1: msg.append("The reference is faster than the new, f = %.2f" % f) else: msg.append("The new is faster than the reference, f = %.2f" % f) return msg def write_data(fn, data): try: f = open(fn, "w") pickle.dump(data, f) #f.write(data) f.close() except Exception, what: print "*** An error occured while trying to write reference file: %s" % fn raise def read_data(fn): try: f = open(fn) data = pickle.load(f) #data = f.read() f.close() except Exception, what: print "*** An error occured while trying to load reference file: %s" % fn print "*** Maybe you need to generate the reference? Returning None." data = None return data def make_mesh(cell_shape, random_cell): # Random cells were generated by: # >>> random.uniform(-2.5,2.5) if cell_shape == "interval": mesh = ufc_benchmark.Mesh(1, 1, [2, 1, 0]) if random_cell: cell = ufc_benchmark.Cell(1, 1, [[-1.445], [0.4713]], [2, 1, 0, 0]) else: cell = ufc_benchmark.Cell(1, 1, [[0], [1]], [2, 1, 0, 0]) elif cell_shape == "triangle": mesh = ufc_benchmark.Mesh(2, 2, [3, 3, 1]) if random_cell: cell = ufc_benchmark.Cell(2, 2, [[-2.2304, -0.88317], [1.3138, -1.0164],\ [0.24622, 1.4431]], [3, 3, 1, 0]) else: cell = ufc_benchmark.Cell(2, 2, [[0, 0], [1, 0], [1, 1]], [3, 3, 1, 0]) elif cell_shape == "tetrahedron": mesh = ufc_benchmark.Mesh(3, 3, [4, 6, 4, 1]) if random_cell: cell = ufc_benchmark.Cell(3, 3, [[-2.2561, -1.6144, -1.7349], [-1.5612, -1.5121, -0.17675],\ [1.6861, -1.1494, 2.4070], [0.52083, 1.1940, 1.8220]], [4, 6, 4, 1]) else: cell = ufc_benchmark.Cell(3, 3, [[0, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 1]], [4, 6, 4, 1]) else: raise RuntimeError, "Unknown shape " + cell_shape # FIXME: Define quadrilateral and hexahedral cells return mesh, cell def compute_data(compiled_form, form_data, random_cell): # --- Initialize some variables rank = form_data.rank num_coefficients = form_data.num_functions num_arguments = num_coefficients + rank num_cell_integrals = compiled_form.num_cell_integrals() num_exterior_facet_integrals = compiled_form.num_exterior_facet_integrals() num_interior_facet_integrals = compiled_form.num_interior_facet_integrals() # --- Initialize geometry variables mesh, cell = make_mesh(form_data.cell.domain(), random_cell) dim = form_data.geometric_dimension num_facets = cell.num_entities[dim - 1] # --- Initialize dofmaps dof_maps = [0]*num_arguments for i in range(num_arguments): dof_maps[i] = compiled_form.create_dof_map(i) dof_maps[i].init_mesh(mesh) # --- Generate arbitrary coefficient dofsdofs w = [0]*num_coefficients for i in range(num_coefficients): w[i] = [0]*(dof_maps[rank+i].local_dimension()) for j in range(dof_maps[rank+i].local_dimension()): w[i][j] = 1.111 + (i + j)/1.111 macro_w = [0]*num_coefficients for i in range(num_coefficients): macro_w[i] = [0]*(2*dof_maps[rank+i].local_dimension()) for j in range(2*dof_maps[rank+i].local_dimension()): macro_w[i][j] = 1.111 + (i + j)/1.111 # --- Target variables A = numpy.zeros((1,1)) # --- Add contributions from ALL domains from cell integrals if num_cell_integrals: domain = 0 # Get shape of A and reset values try: A = ufc_benchmark.tabulate_cell_integral(compiled_form, w, cell, domain) A = numpy.array(A) A = numpy.zeros(numpy.shape(A)) for domain in range(num_cell_integrals): A += ufc_benchmark.tabulate_cell_integral(compiled_form, w, cell, domain) except Exception, what: print "*** An error occured while calling tabulate_cell_integral() for domain %d." % domain raise # --- Add contributions from ALL domains and facets from exterior integrals if num_exterior_facet_integrals: domain, facet = (0, 0) try: if not numpy.any(A): A = ufc_benchmark.tabulate_exterior_facet_integral(compiled_form, w, cell, facet, domain) A = numpy.array(A) A = numpy.zeros(numpy.shape(A)) for domain in range(num_exterior_facet_integrals): for facet in range(num_facets): A += ufc_benchmark.tabulate_exterior_facet_integral(compiled_form, w, cell, facet, domain) except Exception, what: print "*** An error occured while calling tabulate_exterior_facet_integral() for domain %d, facet %d." % (domain, facet) raise # --- Add contributions from ALL domains and facets from interior integrals # FIXME: this currently makes no sense (integrating interior facets on 1 cell) # but it should be OK since we just compare numbers. macro_A = numpy.array([0.0]) if num_interior_facet_integrals: domain, facet0, facet1 = (0,0,0) try: macro_A = ufc_benchmark.tabulate_interior_facet_integral(compiled_form, macro_w, cell, cell, facet0, facet1, domain) macro_A = numpy.array(macro_A) macro_A = numpy.zeros(numpy.shape(macro_A)) for domain in range(num_interior_facet_integrals): for facet0 in range(num_facets): for facet1 in range(num_facets): macro_A += ufc_benchmark.tabulate_interior_facet_integral(compiled_form, macro_w, cell, cell, facet0, facet1, domain) except Exception, what: print "*** An error occured while calling tabulate_interior_facet_integral() for domain %d, facet0 %d, facet1 %d." % (domain, facet0, facet1) raise # Add A to the upper left quadrant of macro_A, it makes no sense, # but the numbers should be OK if not macro_A.any(): data = A elif A.any(): data = macro_A dims = A.shape data[:dims[0], :dims[1]] += A return data # --- Execute! --- if __name__ == "__main__": result = main(sys.argv[1:]) sys.exit(result) syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypufl/0000755000175000017500000000000011674103626023304 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypufl/HyperElasticity1D.ufl0000644000175000017500000000116511672223006027317 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-10-03 -- 2009-03-09 # cell = interval element = FiniteElement("CG", cell, 1) v = TestFunction(element) w = TrialFunction(element) u = Function(element) b = Constant(cell) K = Constant(cell) g = Function(element) F = 1 + u.dx(0) F = variable(F) C = F**2 #J = sqrt(F**2) E = (C-1)/2 Q = b*E**2 psi = K*(exp(Q)-1) # + ln(J)*(J-1) # TODO: Use some simpler law for this demo P = diff(psi, F) f = psi*dx #f = (psi - g*u)*dx F = (inner(P, v.dx(0)) + g*v)*dx #F = derivative(f, u, v) J = derivative(F, u, w) #F = -F # Newton steps require negated rhs (not in dolfin!) forms = [f, F, J] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypufl/Elasticity.ufl0000644000175000017500000000044211672223006026117 0ustar johannrjohannr# # Author: Anders Logg # Modified by: Martin Sandve Alnes # Date: 2009-01-12 # element = VectorElement("Lagrange", tetrahedron, 1) v = TestFunction(element) u = TrialFunction(element) def epsilon(v): Dv = grad(v) return 0.5*(Dv + Dv.T) a = inner(epsilon(v), epsilon(u))*dx syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypufl/HyperElasticityFung.ufl0000644000175000017500000000433111672223006027750 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-12 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 2) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("DG", cell, 0) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # Fiber field A = Function(A_element) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) K = Constant(cell) C_compr = Constant(cell) bff = Constant(cell) bfx = Constant(cell) bxx = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # Left Cauchy-Green deformation tensor #B = F*F.T #I1_B = tr(B) #I2_B = (I1_B**2 - tr(B*B))/2 #I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F #I1_C = tr(C) #I2_C = (I1_C**2 - tr(C*C))/2 #I3_C = J**2 # Green strain tensor E = (C-I)/2 # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function psi(Q(Ef)) Q = bff * Ef[0,0]**2 + \ bxx * (Ef[1,1]**2 + Ef[2,2]**2 + Ef[1,2]**2 + Ef[2,1]**2) + \ bfx * (Ef[0,1]**2 + Ef[0,2]**2 + Ef[1,0]**2 + Ef[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*ln(J) - J + 1) # First Piola-Kirchoff stress tensor P = diff(psi, F) # Alternative: #S = 2*diff(psi, C) #P = F*S # Active forces TODO: Define nonzero active forces S_a = 0*I P_a = F*S_a # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? a_F = (dot(a, v) + k*inner(P + P_a, grad(v)) - dot(g, v))*dx - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Newton solver solves J du = -F, so we'll flip the sign here FIXME: What is right? #a_F = -a_F # TODO: Add some forms for computing stress and strain from a solution forms = [a_f, a_F, a_J] syfi-1.0.0.dfsg.orig/tests/python/verify_tensors/hypufl/HyperElasticitySVK.ufl0000644000175000017500000000504411672223006027516 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-16 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) lamda = Constant(cell) mu = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T Finv = inv(F) J = det(F) # Right Cauchy-Green deformation tensor C = F.T*F # Green strain tensor E = (C-I)/2 E = variable(E) # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff law psi = lamda/2 * tr(E)**2 + mu * inner(E, E) # First Piola-Kirchoff stress tensor P = F*diff(psi, E) # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? a_F = (dot(a, v) + k*inner(P, grad(v)) - dot(g, v))*dx - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Newton solver in DOLFIN solves J (-du) = F, so we don't need to flip the sign of F. However, this isn't a good thing because passing a linear system to the Newton solver will lead to incorrect answer. #a_F = -a_F # Some forms for computing stress and strain from a solution def projection_system(value, degree=1): if value.rank() == 0: element = FiniteElement("CG", cell, degree) elif value.rank() == 1: element = VectorElement("CG", cell, degree) elif value.rank() == 2: element = TensorElement("CG", cell, degree) test = TestFunction(element) trial = TrialFunction(element) assert value.shape() == test.shape() assert value.shape() == trial.shape() a = inner(trial - value, test) * dx a, L = lhs(a), rhs(a) return a, L projection_a_div_u, projection_L_div_u = projection_system(div(u)) projection_a_J, projection_L_J = projection_system(J) projection_a_psi, projection_L_psi = projection_system(psi) # Export forms forms = [a_f, a_F, a_J, projection_a_div_u, projection_L_div_u, projection_a_J, projection_L_J, projection_a_psi, projection_L_psi] syfi-1.0.0.dfsg.orig/tests/python/newtests/0000755000175000017500000000000011674103626020570 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/newtests/volumes.py0000755000175000017500000001037111672223006022632 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-09-04" import unittest import os, sys, glob, shutil, commands import ufl from ufl import FiniteElement from ufl import VectorElement from ufl import TensorElement from ufl import MixedElement from ufl import Argument from ufl import TestFunction from ufl import TrialFunction from ufl import Coefficient from ufl import Constant from ufl import dx, ds import SyFi import sfc as sfc from cell_assembly import assemble_on_cell, cell2volume def num_integrals(form): return (form.num_cell_integrals(), form.num_exterior_facet_integrals(), form.num_interior_facet_integrals()) _test_temp_dir = "volume_temp_dir" _done_test_temp_dir = "done_volume_temp_dir" class VolumeTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) shutil.rmtree(_done_test_temp_dir, ignore_errors=True) os.mkdir(_done_test_temp_dir) def setUp(self): #print "Running sfc jit test in testdir" #print "Imported SyFi from location", SyFi.__file__ #print "Imported sfc from location", sfc.__file__ self.options = sfc.default_parameters() self.options.compilation.cache_dir = os.path.abspath("test_cache") # Generate code in a clean directory: shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): dirs = glob.glob("*") os.chdir("..") for d in dirs: os.rename(os.path.join(_test_temp_dir, d), os.path.join(_done_test_temp_dir, d)) def testSetup(self): pass def _testJitVolume(self, polygon): "Test that the integral of 1.0 over a unit cell equals the length/area/volume of the unit cell." c = Constant(polygon) a = c*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, polygon, coeffs=[1.0]) self.assertAlmostEqual(A, cell2volume[polygon]) def testJitVolumeInterval(self): self._testJitVolume("interval") def testJitVolumeTriangle(self): self._testJitVolume("triangle") def testJitVolumeTetrahedron(self): self._testJitVolume("tetrahedron") def _testJitVolumeQuadrilateral(self): # Not supported by dolfin yet self._testJitVolume("quadrilateral") def _testJitVolumeHexahedron(self): # Not supported by dolfin yet self._testJitVolume("hexahedron") def _testJitConstant(self, polygon, degree): """Test that the integral of a constant coefficient over a unit cell mesh equals the constant times the volume of the unit cell.""" element = FiniteElement("CG", polygon, degree) f = Coefficient(element) a = f*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) const = 1.23 A = assemble_on_cell(form, polygon, coeffs=[const]) self.assertAlmostEqual(A, const*cell2volume[polygon]) def testJitConstantInterval(self): polygon = "interval" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def testJitConstantTriangle(self): polygon = "triangle" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def testJitConstantTetrahedron(self): polygon = "tetrahedron" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def _testJitConstantQuadrilateral(self): # Not supported by dolfin yet polygon = "quadrilateral" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def _testJitConstantHexahedron(self): # Not supported by dolfin yet polygon = "hexahedron" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) tests = [VolumeTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/template.py0000755000175000017500000000063311672223006022753 0ustar johannrjohannr#!/usr/bin/env python "Template test." __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-09-04" import unittest import ufl from ufl import * import sfc from sfc import * class TemplateTestCase(unittest.TestCase): def setUp(self): pass def test_something(self): self.assertTrue(True) tests = [TemplateTestCase] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/element_indexing.py0000755000175000017500000001047211672223006024460 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-09-04" import unittest import os, sys, glob, shutil, commands import ufl from ufl import FiniteElement from ufl import VectorElement from ufl import TensorElement from ufl import MixedElement from ufl import Argument from ufl import TestFunction from ufl import TrialFunction from ufl import Coefficient from ufl import Constant from ufl import dx, ds import SyFi import sfc as sfc from cell_assembly import assemble_on_cell, cell2volume import instant instant.set_logging_level("warning") def num_integrals(form): return (form.num_cell_integrals(), form.num_exterior_facet_integrals(), form.num_interior_facet_integrals()) _test_temp_dir = "volume_temp_dir" _done_test_temp_dir = "done_volume_temp_dir" class ElementIndexingTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) shutil.rmtree(_done_test_temp_dir, ignore_errors=True) os.mkdir(_done_test_temp_dir) def setUp(self): #print "Running sfc jit test in testdir" #print "Imported SyFi from location", SyFi.__file__ #print "Imported sfc from location", sfc.__file__ self.options = sfc.default_parameters() self.options.compilation.cache_dir = os.path.abspath("test_cache") # Generate code in a clean directory: shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): dirs = glob.glob("*") os.chdir("..") for d in dirs: os.rename(os.path.join(_test_temp_dir, d), os.path.join(_done_test_temp_dir, d)) def testSetup(self): pass def testScalarArgument(self): polygon = "triangle" degree = 1 element = FiniteElement("CG", polygon, degree) v = Argument(element) a = v*dx form, module, formdata = sfc.jit(a, parameters = self.options) # Test form properties self.assertTrue(form.rank() == 1) self.assertTrue(form.num_coefficients() == 0) self.assertTrue(num_integrals(form) == (1,0,0)) # TODO: Test values #const = 1.23 #A = assemble_on_cell(form, polygon, coeffs=[const]) #self.assertAlmostEqual(A, const*cell2volume[polygon]) def testScalarCoefficient(self): polygon = "triangle" degree = 1 element = FiniteElement("CG", polygon, degree) f = Coefficient(element) a = f*dx form, module, formdata = sfc.jit(a, parameters = self.options) # Test form properties self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) # Test values const = 1.23 A = assemble_on_cell(form, polygon, coeffs=[const]) self.assertAlmostEqual(A, const*cell2volume[polygon]) def testVectorArgument(self): polygon = "triangle" degree = 1 element = VectorElement("CG", polygon, degree) v = Argument(element) a = v[0]*dx form, module, formdata = sfc.jit(a, parameters = self.options) # Test form properties self.assertTrue(form.rank() == 1) self.assertTrue(form.num_coefficients() == 0) self.assertTrue(num_integrals(form) == (1,0,0)) # TODO: Test values #const = ("1.23", "4.56") #A = assemble_on_cell(form, polygon, coeffs=[const]) #self.assertAlmostEqual(A, (float(const[0]) + float(const[1]))*cell2volume[polygon]) def testVectorCoefficient(self): polygon = "triangle" degree = 1 element = VectorElement("CG", polygon, degree) f = Coefficient(element) a = (f[0] + f[1])*dx form, module, formdata = sfc.jit(a, parameters = self.options) # Test form properties self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) # Test values const = ("1.23", "4.56") A = assemble_on_cell(form, polygon, coeffs=[const]) self.assertAlmostEqual(A, (float(const[0]) + float(const[1]))*cell2volume[polygon]) tests = [ElementIndexingTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/sfc_commandline.py0000755000175000017500000000207311672223006024261 0ustar johannrjohannr#!/usr/bin/env python import unittest import os, sys, glob, shutil, commands import SyFi import sfc _test_temp_dir = "temp_dir" class SFCCommandlineTest(unittest.TestCase): def setUp(self): print "Running templatetest in testdir" print "Imported SyFi from location", SyFi.__file__ print "Imported sfc from location", sfc.__file__ shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): os.chdir("..") #shutil.rmtree(_test_temp_dir, ignore_errors=True) def testForms(self): forms = glob.glob("../forms/*.form") for f in forms: #cmd = "sfc -o %s %s" % (_test_temp_dir, f) cmd = "sfc %s" % f status, output = commands.getstatusoutput(cmd) self.assertTrue(status == 0) #def testFailureExample(self): # assert 1 # #assert 0 # uncomment to see how a failure looks like tests = [SFCCommandlineTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/cell_assembly.py0000755000175000017500000000343511672223006023761 0ustar johannrjohannr#!/usr/bin/env python from dolfin import Mesh, MeshEditor, assemble cell2dim = { "interval": 1, "triangle": 2, "tetrahedron": 3, "quadrilateral": 2, "hexahedron": 3 } cell2volume = { "interval": 1.0, "triangle": 0.5, "tetrahedron": 1.0/6.0, "quadrilateral": 1.0, "hexahedron": 1.0 } def UnitCell(celltype): tdim = cell2dim[celltype] gdim = tdim mesh = Mesh() editor = MeshEditor() editor.open(mesh, celltype, tdim, gdim) if celltype == "interval": vertices = [(0.0,), (1.0,)] if celltype == "triangle": vertices = [(0.0, 0.0), (1.0, 0.0), (0.0, 1.0)] if celltype == "tetrahedron": vertices = [(0.0, 0.0, 0.0), (1.0, 0.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0)] if celltype == "quadrilateral": vertices = [(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0)] if celltype == "hexahedron": vertices = [(0.0, 0.0, 0.0), (1.0, 0.0, 0.0), (1.0, 1.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0), (1.0, 0.0, 1.0), (1.0, 1.0, 1.0), (0.0, 1.0, 1.0)] editor.initVertices(len(vertices)) editor.initCells(1) for i, p in enumerate(vertices): editor.addVertex(i, *p) editor.addCell(0, *range(len(vertices))) editor.close() return mesh def assemble_on_cell(form, celltype, coeffs): "Assemble UFC form on a unit cell mesh and return the result as a float or numpy array." mesh = UnitCell(celltype) A = assemble(form, mesh, coeffs) if isinstance(A, float): return A return A.array() syfi-1.0.0.dfsg.orig/tests/python/newtests/_run_pychecker.py0000755000175000017500000000040411672223006024134 0ustar johannrjohannr#!/usr/bin/env python "Find potential bugs in sfc by static code analysis." # PyChecker skips previously loaded modules import os, sys, glob, shutil, re, logging, subprocess, hashlib import instant import SyFi import ufl import pychecker.checker import sfc syfi-1.0.0.dfsg.orig/tests/python/newtests/jit.py0000755000175000017500000001001411672223006021720 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-10-17" import unittest import os, sys, glob, shutil, commands import ufl from ufl import FiniteElement from ufl import VectorElement from ufl import TensorElement from ufl import MixedElement from ufl import Argument from ufl import TestFunction from ufl import TrialFunction from ufl import Coefficient from ufl import Constant from ufl import dx, ds import SyFi import sfc as sfc from cell_assembly import assemble_on_cell def num_integrals(form): return (form.num_cell_integrals(), form.num_exterior_facet_integrals(), form.num_interior_facet_integrals()) _test_temp_dir = "temp_dir" _done_test_temp_dir = "done_temp_dir" class JitTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) shutil.rmtree(_done_test_temp_dir, ignore_errors=True) os.mkdir(_done_test_temp_dir) def setUp(self): #print "Running sfc jit test in testdir" #print "Imported SyFi from location", SyFi.__file__ #print "Imported sfc from location", sfc.__file__ self.options = sfc.default_parameters() self.options.compilation.cache_dir = os.path.abspath("test_cache") self.options.code.integral.integration_method = "quadrature" # Generate code in a clean directory: shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): dirs = glob.glob("*") os.chdir("..") for d in dirs: os.rename(os.path.join(_test_temp_dir, d), os.path.join(_done_test_temp_dir, d)) def testSetup(self): pass def testJitMass(self): "Test the mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) a = u*v*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 0) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[5.43]) # TODO: Assert correct result def testJitWeightedMass(self): "Test the weighted mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Coefficient(element) a = f*u*v*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[5.43]) # TODO: Assert correct result def testJitSource(self): "Test the source vector." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) f = Coefficient(element) a = f*v*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 1) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[3.14]) # TODO: Assert correct result def testJitSplitTerms(self): "Test a form split over two foo*dx terms, using the mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Coefficient(element) a = u*v*dx + f*u*v*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[4.43]) # TODO: Assert correct result tests = [JitTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/clean.sh0000755000175000017500000000007511672223006022204 0ustar johannrjohannr#!/bin/bash rm -rf *temp_dir* rm -f *.pyc rm -rf test_cache/ syfi-1.0.0.dfsg.orig/tests/python/newtests/element_representations.py0000755000175000017500000001705611672223006026105 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-09 2008-09-10" import unittest import os, sys, glob, shutil, commands import swiginac import ufl from ufl import FiniteElement from ufl import VectorElement from ufl import TensorElement from ufl import MixedElement from ufl import Argument from ufl import TestFunction from ufl import TrialFunction from ufl import Coefficient from ufl import Constant from ufl import dx, ds import SyFi import sfc as sfc from sfc.representation import ElementRepresentation from sfc.quadrature import find_quadrature_rule import instant instant.set_logging_level("warning") class ElementRepresentationTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) def setUp(self): SyFi.initSyFi(2) polygon = "triangle" self.P1 = FiniteElement("CG", polygon, 1) self.P2 = FiniteElement("CG", polygon, 2) self.Q = FiniteElement("Q", polygon, 1) self.VQ = VectorElement("Q", polygon, 1) self.V1 = VectorElement("CG", polygon, 1) self.V2 = VectorElement("CG", polygon, 2) self.T1 = TensorElement("CG", polygon, 1, symmetry=True) self.T2 = TensorElement("CG", polygon, 2, symmetry=True) self.TH = self.V2 * self.P1 self.M = MixedElement(self.T1, self.V1, self.P1) self.P1rep = ElementRepresentation(self.P1) self.P2rep = ElementRepresentation(self.P2) self.Qrep = ElementRepresentation(self.Q, quad_rule = find_quadrature_rule(polygon, 2)) self.VQrep = ElementRepresentation(self.VQ, quad_rule = find_quadrature_rule(polygon, 2)) self.V1rep = ElementRepresentation(self.V1) self.V2rep = ElementRepresentation(self.V2) self.T1rep = ElementRepresentation(self.T1) self.T2rep = ElementRepresentation(self.T2) self.THrep = ElementRepresentation(self.TH) self.Mrep = ElementRepresentation(self.M) self.reps = [getattr(self, d) for d in dir(self) if isinstance(getattr(self, d), ElementRepresentation)] def tearDown(self): pass def testSetup(self): pass def testValueShapes(self): self.assertTrue( self.P1rep.value_shape == () ) self.assertTrue( self.P2rep.value_shape == () ) self.assertTrue( self.Qrep.value_shape == () ) self.assertTrue( self.VQrep.value_shape == (2,) ) self.assertTrue( self.V1rep.value_shape == (2,) ) self.assertTrue( self.V2rep.value_shape == (2,) ) self.assertTrue( self.T1rep.value_shape == (2,2) ) self.assertTrue( self.T2rep.value_shape == (2,2) ) self.assertTrue( self.THrep.value_shape == (2+1,) ) self.assertTrue( self.Mrep.value_shape == (4+2+1,) ) def testGeometryDimensions(self): self.assertTrue( self.P1rep.geometric_dimension == 2 ) self.assertTrue( self.P2rep.geometric_dimension == 2 ) self.assertTrue( self.Qrep.geometric_dimension == 2 ) self.assertTrue( self.VQrep.geometric_dimension == 2 ) self.assertTrue( self.V1rep.geometric_dimension == 2 ) self.assertTrue( self.V2rep.geometric_dimension == 2 ) self.assertTrue( self.T1rep.geometric_dimension == 2 ) self.assertTrue( self.T2rep.geometric_dimension == 2 ) self.assertTrue( self.THrep.geometric_dimension == 2 ) self.assertTrue( self.Mrep.geometric_dimension == 2 ) def testTopologyDimensions(self): self.assertTrue( self.P1rep.topological_dimension == 2 ) self.assertTrue( self.P2rep.topological_dimension == 2 ) self.assertTrue( self.Qrep.topological_dimension == 2 ) self.assertTrue( self.VQrep.topological_dimension == 2 ) self.assertTrue( self.V1rep.topological_dimension == 2 ) self.assertTrue( self.V2rep.topological_dimension == 2 ) self.assertTrue( self.T1rep.topological_dimension == 2 ) self.assertTrue( self.T2rep.topological_dimension == 2 ) self.assertTrue( self.THrep.topological_dimension == 2 ) self.assertTrue( self.Mrep.topological_dimension == 2 ) def testArguments(self): # Tests that for each basisfunction there is at least one nonzero value component #for rep in (self.P1rep, self.V1rep, self.T1rep): #for rep in (self.V1rep, ): for rep in self.reps: if rep.ufl_element.family() == "Quadrature"\ or rep.ufl_element.family() == "Boundary Quadrature": continue #print #print rep for i in range(rep.local_dimension): zeros = 0 for c in ufl.permutation.compute_indices(rep.value_shape): #print "Calling basis_function(", i, c, ") for element ", repr(rep.ufl_element) N = rep.basis_function(i, c) #print i, c, N if N == 0.0: zeros += 1 self.assertTrue(zeros < rep.value_size) if rep.local_dimension > 1 and rep.value_size > 1: self.assertTrue(zeros > 0) # This should hold for compositions of scalar elements # FIXME: Test something more def testDofTopology(self): def triangle_entities(): for d in range(2): for i in range((3,3,1)[d]): yield (d,i) for rep in self.reps: for (d,i) in triangle_entities(): dofs = rep.entity_dofs[d][i] self.assertTrue(len(dofs) == rep.num_entity_dofs[d]) # FIXME: Test something more def testPointEvaluation(self): # Tests that the property { N_k(\xi_j) == \delta_{kj} } holds for scalar elements. for rep in (self.P1rep, self.P2rep): for i in range(rep.local_dimension): x = rep.dof_x[i] xi = rep.dof_xi[i] repmap = swiginac.exmap() for j in range(2): repmap[rep.p[j]] = xi[j] for k in range(rep.local_dimension): c = () # Assuming scalar element here: N = rep.basis_function(k, c) Nxi = N.subs(repmap) if i == k: self.assertTrue(Nxi == 1.0) else: self.assertTrue(Nxi == 0.0) def testCoordinates(self): for rep in self.reps: #print #print rep.ufl_element for i in range(rep.local_dimension): x = rep.dof_x[i] xi = rep.dof_xi[i] #print i, xi #x2 = rep.xi_to_x(xi) #xi2 = rep.x_to_xi(x) #self.assertTrue(x2 == x) #self.assertTrue(xi2 == xi) # FIXME: Test something more def testSubHierarchy(self): self.assertTrue(len(self.P1rep.sub_elements) == 0 ) self.assertTrue(len(self.P2rep.sub_elements) == 0 ) self.assertTrue(len(self.Qrep.sub_elements) == 0 ) self.assertTrue(len(self.VQrep.sub_elements) == 2 ) self.assertTrue(len(self.V1rep.sub_elements) == 2 ) self.assertTrue(len(self.V2rep.sub_elements) == 2 ) self.assertTrue(len(self.T1rep.sub_elements) == 3 ) self.assertTrue(len(self.T2rep.sub_elements) == 3 ) self.assertTrue(len(self.THrep.sub_elements) == 2 ) self.assertTrue(len(self.Mrep.sub_elements) == 3 ) tests = [ElementRepresentationTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/test.py0000755000175000017500000000164611672223006022124 0ustar johannrjohannr#!/usr/bin/env python """Run all tests""" __author__ = "Martin Alnes " __date__ = "2008-09-04 -- 2008-09-04" import os, glob # disable most log output import sfc sfc.set_logging_level("error") # define test set tests = glob.glob("*.py") skip = set(["test.py", "template.py", "cell_assembly.py"]) tests = (t for t in tests if not (t in skip or t.startswith("_"))) # two ways of running tests separate = True if separate: # run all test from commandline (separate python processes) for test in tests: cmd = "python %s" % test print "Running '%s'" % cmd os.system(cmd) else: # collect test classes classes = [] for test in tests: classes.extend(test.tests) # run all tests verbosity = 0 suites = [unittest.makeSuite(c) for c in classes] testsuites = unittest.TestSuite(suites) unittest.TextTestRunner(verbosity=verbosity).run(testsuites) syfi-1.0.0.dfsg.orig/tests/python/newtests/codeformatter.py0000755000175000017500000000646111672223006024003 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-09-04" import unittest from sfc.codegeneration.codeformatting import CodeFormatter, gen_token_declarations, gen_token_definitions test_switch_result = """switch(facet) { case 0: dofs[0] = 2; dofs[1] = 0; dofs[2] = 1; break; case 1: dofs[0] = 5; dofs[1] = 3; dofs[2] = 4; break; case 2: dofs[0] = 6; dofs[1] = 7; dofs[2] = 8; break; default: throw std::runtime_error("Invalid facet number."); }""" gen_tokens_result = """{ double s1; double s2; } double s1 = e1; double s2 = e2; double s1 = e1; double s2 = e2;""" functions_result = """inline void c(double a[3], double b[3], double c[3]) const; inline void c(double a[3], double b[3], double c[3]) const { // Empty body! } c(a, b, c); """ class CodeFormattingTest(unittest.TestCase): def setUp(self): pass def _compare_codes(self, code, correct): "Compare codes and print codes if this fails." if code != correct: print "Failure, got code:" print '"""%s"""' % code print "but expecting:" print '"""%s"""' % correct self.assertTrue(code == correct) def test_switch(self): code = CodeFormatter() code.begin_switch("facet") facet_dofs = [(2, 0, 1), (5, 3, 4), (6, 7, 8)] for i, dofs in enumerate(facet_dofs): code.begin_case(i) for j, d in enumerate(dofs): code += "dofs[%d] = %d;" % (j, d) code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Invalid facet number.");' code.dedent() code.end_switch() code = str(code) self._compare_codes(code, test_switch_result) def test_gen_tokens(self): code = CodeFormatter() class MockObject: def __init__(self, text): self._text = text def printc(self): return self._text def __str__(self): return self._text s1 = MockObject("s1") e1 = MockObject("e1") s2 = MockObject("s2") e2 = MockObject("e2") tokens = [(s1, e1), (s2, e2)] code.begin_block() code += gen_token_declarations(tokens) code.end_block() code.indent() code.indent() code += gen_token_definitions(tokens) code.dedent() code += gen_token_definitions(tokens) code.dedent() code = str(code) self._compare_codes(code, gen_tokens_result) def test_functions(self): code = CodeFormatter() name = "myfunction" argnames = ["a", "b", "c"] args = [("double", name, "[3]") for name in argnames] code.declare_function(name, args=args, const=True, inline=True) code.new_line("") body = "// Empty body!" code.define_function(name, args=args, const=True, inline=True, body=body) code.new_line("") code.call_function(name, args=argnames) code.new_line("") code = str(code) self._compare_codes(code, functions_result) tests = [CodeFormattingTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/quadjit.py0000755000175000017500000000406511672223006022604 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-09-04 -- 2008-10-17" import unittest import os, sys, glob, shutil, commands import ufl from ufl import * import SyFi import sfc as sfc from cell_assembly import assemble_on_cell def num_integrals(form): return (form.num_cell_integrals(), form.num_exterior_facet_integrals(), form.num_interior_facet_integrals()) _test_temp_dir = "temp_dir" _done_test_temp_dir = "done_temp_dir" class QuadJitTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) shutil.rmtree(_done_test_temp_dir, ignore_errors=True) os.mkdir(_done_test_temp_dir) def setUp(self): #print "Running sfc jit test in testdir" #print "Imported SyFi from location", SyFi.__file__ #print "Imported sfc from location", sfc.__file__ self.options = sfc.default_parameters() self.options.compilation.cache_dir = os.path.abspath("test_cache") self.options.code.integral.integration_method = "quadrature" # Generate code in a clean directory: shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): dirs = glob.glob("*") os.chdir("..") for d in dirs: os.rename(os.path.join(_test_temp_dir, d), os.path.join(_done_test_temp_dir, d)) def testSetup(self): pass def testJitMass(self): "Test the mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) a = u*v*dx form, module, formdata = sfc.jit(a, parameters = self.options) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 0) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[5.43]) # TODO: Assert correct result tests = [QuadJitTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl2swiginac.py0000755000175000017500000000647411672223006023546 0ustar johannrjohannr#!/usr/bin/env python __authors__ = "Martin Sandve Alnes" __date__ = "2008-10-15 -- 2008-10-15" import unittest import ufl from ufl import * from ufl.algorithms import expand_compounds import sfc as sfc from sfc.representation.swiginac_eval import SwiginacEvaluator from sfc.symbolic_utils import symbolic_matrix, symbolic_vector class MockCell: def __init__(self, nsd): self.nsd = nsd class MockFormRep: def __init__(self, nsd): self.rank = 0 self.nsd = nsd self.cell = MockCell(nsd) class MockVariables: def __init__(self, nsd): self.x = symbolic_vector(nsd, "x") self.Ginv_sym = symbolic_matrix(nsd, nsd, "Ginv") def ufl2swiginac(expression, nsd): formrep = MockFormRep(nsd) variables = MockVariables(nsd) use_symbols = False s = SwiginacEvaluator(formrep, variables, use_symbols) return s.visit(expression) class Ufl2SwiginacTest(unittest.TestCase): def __init__(self, *args, **kwargs): unittest.TestCase.__init__(self, *args, **kwargs) def setUp(self): pass def tearDown(self): pass def testSetup(self): pass def testIndexed1(self): A = as_vector((1,2,3)) a = A[0] + A[1] +A[2] b = ufl2swiginac(a, 3) c = 1 + 2 + 3 self.assertEqual(c, b) def testIndexed2(self): A = as_matrix(((1,2),(3,4))) a = sum(A[i,j] for i in (0,1) for j in (0,1)) b = ufl2swiginac(a, 2) c = 1 + 2 + 3 + 4 self.assertEqual(c, b) def testIndexed3(self): A = as_tensor(((1,2,3), (4,5,6), (7,8,9))) a = A[i,i] b = ufl2swiginac(a, 3) c = 1+5+9 self.assertEqual(c, b) def testProduct1(self): A = as_vector((1,2,3)) a = A[0]*A[1]*A[2] b = ufl2swiginac(a, 3) c = 1 * 2 * 3 self.assertEqual(c, b) def testProduct2(self): u = as_vector((2,3,5)) v = as_vector((7,11,13)) a = u[i]*v[i] b = ufl2swiginac(a, 3) c = 2*7 + 3*11 + 5*13 self.assertEqual(c, b) def testProduct3(self): u = as_tensor(((1,2,3), (4,5,6), (7,8,9))) v = as_tensor(((4,5,6), (1,2,3), (4,5,6))) a = u[i,j]*v[i,j] b = ufl2swiginac(a, 3) c = (4+10+18)*2 + 7*4+8*5+9*6 self.assertEqual(c, b) def testProduct4(self): u = as_tensor(((1,2,3), (4,5,6), (7,8,9))) v = as_tensor(u[i,j], (j,i)) a = inner(u, v.T) a = expand_compounds(a, 3) b = ufl2swiginac(a, 3) c = sum(ii**2 for ii in range(10)) self.assertEqual(c, b) def testSpatialDiff1(self): "Test a single constant dx" A = as_vector((2,3)) a = A[0].dx(0) b = ufl2swiginac(a, 2) c = 0 self.assertEqual(c, b) def testSpatialDiff2(self): "Test a single div-type df_i/dx_i" A = as_vector((2,3)) a = A[i].dx(i) b = ufl2swiginac(a, 2) c = 0 self.assertEqual(c, b) def testSpatialDiff3(self): "Test a double div-type df_ij/dx_ij" A = as_vector(((2,3),(4,5))) a = A[i,j].dx(j,i) b = ufl2swiginac(a, 2) c = 0 self.assertEqual(c, b) tests = [Ufl2SwiginacTest] if __name__ == "__main__": unittest.main() syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/0000755000175000017500000000000011674103626022564 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/mass.ufl0000644000175000017500000000016711672223006024234 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) a = u*v*dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/convection_vector.ufl0000644000175000017500000000021211672223006027011 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(w)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/source.ufl0000644000175000017500000000016211672223006024564 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) v = TestFunction(element) f = Function(element) a = f*v*dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/convection_jacobi.ufl0000644000175000017500000000026511672223006026746 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = dot(dot(u, grad(w)) + dot(w, grad(u)), v) * dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/explicit_convection.ufl0000644000175000017500000000024511672223006027336 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(u)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/L2norm.ufl0000644000175000017500000000013111672223006024431 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) f = Function(element) a = f**2*dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/stiffness.ufl0000644000175000017500000000021111672223006025263 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) a = dot(grad(u), grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/H1norm.ufl0000644000175000017500000000016611672223006024434 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) f = Function(element) a = ( f*f + dot(grad(f), grad(f)) ) * dx syfi-1.0.0.dfsg.orig/tests/python/newtests/ufl_forms/convection_jacobi2.ufl0000644000175000017500000000026611672223006027031 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = (u[j]*w[i].dx(j) + w[j]*u[i].dx(j)) * v[i] * dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/0000755000175000017500000000000011674103626022657 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/README0000644000175000017500000000104311672223006023526 0ustar johannrjohannrThis directory is intended for generating code with easy access to the tabulate_tensor code for manual inspection. Usage: ./regenerate.py ['print' | .ufl filename | name of directory with .ufl files in | sfc option]* All .ufl files and all .ufl files in the directory arguments are compiled using commandline sfc. The word "print" among the arguments causes regenerate.py to print the tabulate_tensor code for each generated form. Any other arguments are interpreted as sfc commandline options, see 'sfc --help' for more details on those. syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/regenerate.py0000755000175000017500000000340311672223006025346 0ustar johannrjohannr#!/usr/bin/env python import os, sys, re, shutil, time from glob import glob do_print = False filenames = [] flags = [] args = sys.argv[1:] for arg in args: if arg == "print": do_print = True elif arg.endswith(".ufl"): assert os.path.exists(arg) filenames.append(arg) elif os.path.isdir(arg): filenames.extend(glob(os.path.join(arg, "*.ufl"))) else: flags.append(arg) if not filenames: filenames = glob(os.path.join("ufl", "*.ufl")) filenames = sorted(filenames) flags = " ".join(flags) def basename(fn): n = os.path.basename(fn) b, e = os.path.splitext(n) return b # In case the directory is missing: try: os.mkdir("generated_code") except: pass timing = [] codepaths = [] fails = [] for fn in filenames: print print "--- Handling file", fn output = "generated_code/%s" % basename(fn) # NB! Deleting old contents! shutil.rmtree(output, ignore_errors=True) # Run compilation command cmd = "sfc %s -o%s %s" % (flags, output, fn) t = -time.time() ok = os.system(cmd) t += time.time() if ok != 0: fails.append(fn) else: codepaths.append(output) timing.append("%8.1f seconds to compile %s." % (t, fn)) # Print tabulate_tensor implementations if do_print: for p in codepaths: files = glob(os.path.join(p, "*integral*.cpp")) cmd = "print_tabulate_tensors %s" % " ".join(files) ok = os.system(cmd) if ok != 0: print "Failed to print tabulate_tensor for ", p print "cmd =", cmd if timing: print print "--- Timing of each sfc run:" print "\n".join(timing) if fails: print print "--- The following files failed:" print "\n".join(fails) print syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/0000755000175000017500000000000011672223006023436 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/HyperElasticity.ufl0000644000175000017500000000325111672223006027271 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 2) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Coefficient(u_element) up = Coefficient(u_element) upp = Coefficient(u_element) # Time parameters dt = Constant(cell) # Fiber field A = Coefficient(A_element) # External forces T = Coefficient(u_element) p0 = Coefficient(p_element) N = cell.n # Material parameters FIXME rho = Constant(cell) K = Constant(cell) c00 = Constant(cell) c11 = Constant(cell) c22 = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # Left Cauchy-Green deformation tensor B = F*F.T I1_B = tr(B) I2_B = (I1_B**2 - tr(B*B))/2 I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F I1_C = tr(C) I2_C = (I1_C**2 - tr(C*C))/2 I3_C = J**2 # Green strain tensor E = (C-I)/2 # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function W(Q(Ef)) Q = c00*Ef[0,0]**2 + c11*Ef[1,1]**2 + c22*Ef[2,2]**2 # FIXME: insert some simple law here W = (K/2)*(exp(Q) - 1) # + p stuff # First Piola-Kirchoff stress tensor P = diff(W, F) # Acceleration term discretized with finite differences a = (u - 2*up + upp) / dt # Residual equation a_F = dot(rho*a, v)*dx + inner(P, grad(v))*dx - dot(J*Finv*T, v)*ds(0) - dot(J*Finv*p0*N, v)*ds(0) # FIXME: Correct these mappings # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/L2.ufl0000644000175000017500000000025211672223006024422 0ustar johannrjohannr # # Collection of most common elements for testing. # # Author: Martin Sandve Alnes # cell = triangle e = FiniteElement("CG", cell, 1) f = Coefficient(e) a = f**2*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/Stiffness.ufl0000644000175000017500000000034611672223006026115 0ustar johannrjohannr # # Collection of most common elements for testing. # # Author: Martin Sandve Alnes # cell = triangle e = FiniteElement("CG", cell, 1) v = TestFunction(e) u = TrialFunction(e) f = Coefficient(e) a = f*dot(grad(u),grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/Mass.ufl0000644000175000017500000000032511672223006025051 0ustar johannrjohannr # # Collection of most common elements for testing. # # Author: Martin Sandve Alnes # cell = triangle e = FiniteElement("CG", cell, 1) v = TestFunction(e) u = TrialFunction(e) f = Coefficient(e) a = f*u*v*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/functionals/0000755000175000017500000000000011674103626025772 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/functionals/Tetrahedron.ufl0000644000175000017500000000157411672223006030761 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = tetrahedron element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/functionals/Triangle.ufl0000644000175000017500000000157111672223006030244 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = triangle element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/functionals/Interval.ufl0000644000175000017500000000157111672223006030263 0ustar johannrjohannr# Copyright (C) 2009 Martin Sandve Alnes # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . cell = interval element = FiniteElement("Lagrange", cell, 1) u = Function(element) a0 = u*dx a1 = (u+1)*dx a2 = 2*u*dx a3 = u/2*dx a4 = u**2*dx a5 = exp(u)*dx a6 = ln(u)*dx a7 = sin(u)*dx a8 = cos(u)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/0000755000175000017500000000000011674103626024711 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/ninterval.ufl0000644000175000017500000000002211672223006027406 0ustar johannrjohannra = interval.n*ds syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/uv.ufl0000644000175000017500000000013111672223006026037 0ustar johannrjohannre = FiniteElement("CG", interval, 1) v = TestFunction(e) u = TrialFunction(e) a = u*v*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/fsum.ufl0000644000175000017500000000010211672223006026355 0ustar johannrjohannre = FiniteElement("CG", interval, 1) f = Function(e) a = (f+7)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/f.ufl0000644000175000017500000000007611672223006025642 0ustar johannrjohannre = FiniteElement("CG", interval, 1) f = Function(e) a = f*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/uvfsum.ufl0000644000175000017500000000017211672223006026737 0ustar johannrjohannre = FiniteElement("CG", interval, 1) v = TestFunction(e) u = TrialFunction(e) f = Function(e) a = f*(u*v)*dx + (f*u)*v*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/fexp.ufl0000644000175000017500000000010311672223006026346 0ustar johannrjohannre = FiniteElement("CG", interval, 1) f = Function(e) a = exp(f)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/v.ufl0000644000175000017500000000010211672223006025650 0ustar johannrjohannre = FiniteElement("CG", interval, 1) v = TestFunction(e) a = v*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/vindexed.ufl0000644000175000017500000000010511672223006027214 0ustar johannrjohannre = VectorElement("CG", triangle, 1) v = TestFunction(e) a = v[0]*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/uvindexed.ufl0000644000175000017500000000013611672223006027405 0ustar johannrjohannre = VectorElement("CG", triangle, 1) v = TestFunction(e) u = TrialFunction(e) a = dot(u,v)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/fpow.ufl0000644000175000017500000000010111672223006026355 0ustar johannrjohannre = FiniteElement("CG", interval, 1) f = Function(e) a = f**3*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/findexed.ufl0000644000175000017500000000010111672223006027170 0ustar johannrjohannre = VectorElement("CG", triangle, 1) f = Function(e) a = f[0]*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/nindexed.ufl0000644000175000017500000000002511672223006027205 0ustar johannrjohannra = triangle.n[0]*ds syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/c.ufl0000644000175000017500000000004011672223006025626 0ustar johannrjohannrc = Constant(interval) a = c*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/fln.ufl0000644000175000017500000000010211672223006026162 0ustar johannrjohannre = FiniteElement("CG", interval, 1) f = Function(e) a = ln(f)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/basics/vsum.ufl0000644000175000017500000000010611672223006026401 0ustar johannrjohannre = FiniteElement("CG", interval, 1) v = TestFunction(e) a = (v+7)*dx syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/Elements.ufl0000644000175000017500000000445111672223006025726 0ustar johannrjohannr # # Collection of most common elements for testing. # # Author: Martin Sandve Alnes # cell = interval e10 = FiniteElement("DG", cell, 0) e11 = FiniteElement("CG", cell, 1) e12 = FiniteElement("CG", cell, 2) e13 = FiniteElement("CG", cell, 3) e14 = FiniteElement("CG", cell, 4) cell = triangle e20 = FiniteElement("DG", cell, 0) e21 = FiniteElement("CG", cell, 1) e22 = FiniteElement("CG", cell, 2) e23 = FiniteElement("CG", cell, 3) e24 = FiniteElement("CG", cell, 4) cell = tetrahedron e30 = FiniteElement("DG", cell, 0) e31 = FiniteElement("CG", cell, 1) e32 = FiniteElement("CG", cell, 2) e33 = FiniteElement("CG", cell, 3) e34 = FiniteElement("CG", cell, 4) cell = interval v10 = VectorElement("DG", cell, 0) v11 = VectorElement("CG", cell, 1) v12 = VectorElement("CG", cell, 2) v13 = VectorElement("CG", cell, 3) v14 = VectorElement("CG", cell, 4) cell = triangle v20 = VectorElement("DG", cell, 0) v21 = VectorElement("CG", cell, 1) v22 = VectorElement("CG", cell, 2) v23 = VectorElement("CG", cell, 3) v24 = VectorElement("CG", cell, 4) cell = tetrahedron v30 = VectorElement("DG", cell, 0) v31 = VectorElement("CG", cell, 1) v32 = VectorElement("CG", cell, 2) v33 = VectorElement("CG", cell, 3) v34 = VectorElement("CG", cell, 4) cell = interval t10 = TensorElement("DG", cell, 0) t11 = TensorElement("CG", cell, 1) t12 = TensorElement("CG", cell, 2) t13 = TensorElement("CG", cell, 3) t14 = TensorElement("CG", cell, 4) cell = triangle t20 = TensorElement("DG", cell, 0) t21 = TensorElement("CG", cell, 1) t22 = TensorElement("CG", cell, 2) t23 = TensorElement("CG", cell, 3) t24 = TensorElement("CG", cell, 4) cell = tetrahedron t30 = TensorElement("DG", cell, 0) t31 = TensorElement("CG", cell, 1) t32 = TensorElement("CG", cell, 2) t33 = TensorElement("CG", cell, 3) t34 = TensorElement("CG", cell, 4) # Dynamically generate combinations of mixed elements feeling_crazy = False if feeling_crazy: # 675 mixed element combinations! for d in (1,2,3): for t0 in ("e", "v", "t"): for t1 in ("e", "v", "t"): for d0 in range(5): for d1 in range(5): n0 = "%s%d%s" % (t0, d, d0) n1 = "%s%d%s" % (t1, d, d1) name = "m%s%s" % (n0, n1) exec "%s = %s + %s" % (name, n0, n1) syfi-1.0.0.dfsg.orig/tests/python/code_generation_lab/ufl/CG1.ufl0000644000175000017500000000036711672223006024526 0ustar johannrjohannr # # Collection of most common elements for testing. # # Author: Martin Sandve Alnes # cell = interval e11 = FiniteElement("CG", cell, 1) cell = triangle e21 = FiniteElement("CG", cell, 1) cell = tetrahedron e31 = FiniteElement("CG", cell, 1) syfi-1.0.0.dfsg.orig/tests/python/run_tests.py0000755000175000017500000000025111672223006021306 0ustar johannrjohannr#!/usr/bin/env python # run only simple test to check that sfc <-> pydolfin works import glob import os import sys sys.exit(os.system("python pydolfin/demo.py")) syfi-1.0.0.dfsg.orig/tests/python/tests/0000755000175000017500000000000011674103626020056 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sfc_jit/0000755000175000017500000000000011674103626021477 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sfc_jit/__init__.py0000644000175000017500000000003011672223006023572 0ustar johannrjohannr from test import test syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_jit/test.py0000755000175000017500000001667011672223006023036 0ustar johannrjohannr#!/usr/bin/env python import unittest import os, sys, glob, shutil, commands import ufl from ufl import FiniteElement from ufl import VectorElement from ufl import TensorElement from ufl import MixedElement from ufl import Argument from ufl import TestFunction from ufl import TrialFunction from ufl import Coefficient from ufl import Constant from ufl import dx, ds import SyFi import newsfc as sfc from dolfin import Mesh, MeshEditor, assemble #import instant #instant.set_logging_level("error") #instant.set_logging_level("warning") #instant.set_logging_level("info") #instant.set_logging_level("debug") def num_integrals(form): return (form.num_cell_integrals(), form.num_exterior_facet_integrals(), form.num_interior_facet_integrals()) cell2dim = { "interval": 1, "triangle": 2, "tetrahedron": 3, "quadrilateral": 2, "hexahedron": 3 } cell2volume = { "interval": 1.0, "triangle": 0.5, "tetrahedron": 1.0/6.0, "quadrilateral": 1.0, "hexahedron": 1.0 } def UnitCell(celltype): tdim = cell2dim[celltype] gdim = tdim mesh = Mesh() editor = MeshEditor() editor.open(mesh, celltype, tdim, gdim) if celltype == "interval": vertices = [(0.0,), (1.0,)] if celltype == "triangle": vertices = [(0.0, 0.0), (1.0, 0.0), (0.0, 1.0)] if celltype == "tetrahedron": vertices = [(0.0, 0.0, 0.0), (1.0, 0.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0)] if celltype == "quadrilateral": vertices = [(0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0)] if celltype == "hexahedron": vertices = [(0.0, 0.0, 0.0), (1.0, 0.0, 0.0), (1.0, 1.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0), (1.0, 0.0, 1.0), (1.0, 1.0, 1.0), (0.0, 1.0, 1.0)] editor.initVertices(len(vertices)) editor.initCells(1) for i, p in enumerate(vertices): editor.addVertex(i, *p) editor.addCell(0, *range(len(vertices))) editor.close() return mesh def assemble_on_cell(form, celltype, coeffs): "Assemble UFC form on a unit cell mesh and return the result as a float or numpy array." mesh = UnitCell(celltype) A = assemble(form, mesh, coeffs) if isinstance(A, float): return A return A.array() _test_temp_dir = "temp_dir" _done_test_temp_dir = "done_temp_dir" class SFCJitTest(unittest.TestCase): def setUp(self): #print "Running sfc jit test in testdir" #print "Imported SyFi from location", SyFi.__file__ #print "Imported sfc from location", sfc.__file__ # Generate code in a clean directory: shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): dirs = glob.glob("*") os.chdir("..") for d in dirs: os.rename(os.path.join(_test_temp_dir, d), os.path.join(_done_test_temp_dir, d)) def testSetup(self): pass def _testJitVolume(self, polygon): "Test that the integral of 1.0 over a unit cell equals the length/area/volume of the unit cell." c = Constant(polygon) a = c*dx form = sfc.jit(a) self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, polygon, coeffs=[1.0]) self.assertAlmostEqual(A, cell2volume[polygon]) def testJitVolumeInterval(self): self._testJitVolume("interval") def testJitVolumeTriangle(self): self._testJitVolume("triangle") def testJitVolumeTetrahedron(self): self._testJitVolume("tetrahedron") def _testJitVolumeQuadrilateral(self): # Not supported by dolfin yet self._testJitVolume("quadrilateral") def _testJitVolumeHexahedron(self): # Not supported by dolfin yet self._testJitVolume("hexahedron") def _testJitConstant(self, polygon, degree): """Test that the integral of a constant coefficient over a unit cell mesh equals the constant times the volume of the unit cell.""" element = FiniteElement("CG", polygon, degree) f = Coefficient(element) a = f*dx form = sfc.jit(a) self.assertTrue(form.rank() == 0) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) const = 1.23 A = assemble_on_cell(form, polygon, coeffs=[const]) self.assertAlmostEqual(A, const*cell2volume[polygon]) def testJitConstantInterval(self): polygon = "interval" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def testJitConstantTriangle(self): polygon = "triangle" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def testJitConstantTetrahedron(self): polygon = "tetrahedron" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def _testJitConstantQuadrilateral(self): # Not supported by dolfin yet polygon = "quadrilateral" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def _testJitConstantHexahedron(self): # Not supported by dolfin yet polygon = "hexahedron" self._testJitConstant(polygon, 1) self._testJitConstant(polygon, 2) def testJitSource(self): "Test the source vector." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) f = Coefficient(element) a = f*v*dx form = sfc.jit(a) self.assertTrue(form.rank() == 1) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[3.14]) # TODO: Assert correct result def testJitMass(self): "Test the mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Coefficient(element) a = f*u*v*dx form = sfc.jit(a) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[5.43]) # TODO: Assert correct result def testJitSplitTerms(self): "Test a form split over two foo*dx terms, using the mass matrix." element = FiniteElement("CG", "triangle", 1) v = TestFunction(element) u = TrialFunction(element) f = Coefficient(element) a = u*v*dx + f*u*v*dx form = sfc.jit(a) self.assertTrue(form.rank() == 2) self.assertTrue(form.num_coefficients() == 1) self.assertTrue(num_integrals(form) == (1,0,0)) A = assemble_on_cell(form, "triangle", coeffs=[4.43]) # TODO: Assert correct result def test(verbosity=0): shutil.rmtree(_done_test_temp_dir, ignore_errors=True) os.mkdir(_done_test_temp_dir) classes = [SFCJitTest] suites = [unittest.makeSuite(c) for c in classes] testsuites = unittest.TestSuite(suites) unittest.TextTestRunner(verbosity=verbosity).run(testsuites) if __name__ == "__main__": test() syfi-1.0.0.dfsg.orig/tests/python/tests/templatetestdir/0000755000175000017500000000000011674103626023270 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/templatetestdir/__init__.py0000644000175000017500000000003011672223006025363 0ustar johannrjohannr from test import test syfi-1.0.0.dfsg.orig/tests/python/tests/templatetestdir/test.py0000755000175000017500000000206411672223006024617 0ustar johannrjohannr#!/usr/bin/env python import unittest import SyFi import sfc class MyTest(unittest.TestCase): def setUp(self): # initialize stuff #debug("setUp") print "Running templatetest in testdir" print "Imported SyFi from location", SyFi.__file__ print "Imported sfc from location", sfc.__file__ self.foo = 1 def tearDown(self): # delete initialized stuff #debug("tearDown") del self.foo def testSetup(self): # test initialized stuff #debug("testSetup") assert self.foo def testMyStuff(self): # test whatever meant by "MyStuff" #debug("testMyStuff") assert 1 def testFailureExample(self): assert 1 #assert 0 # uncomment to see how a failure looks like def test(verbosity=0): classes = [MyTest] suites = [unittest.makeSuite(c) for c in classes] testsuites = unittest.TestSuite(suites) unittest.TextTestRunner(verbosity=verbosity).run(testsuites) if __name__ == "__main__": test() syfi-1.0.0.dfsg.orig/tests/python/tests/README0000644000175000017500000000362711672223006020737 0ustar johannrjohannr QUICKSTART: Adding new tests: - The recommended way to add a new test is to copy templatetestdir/ to 'yourtestname' and modify the test.py file in the new directory. Then add 'yourtestname' alongside the other tests in runall.py and runall.sh. If you don't, your new test can still be run separately, but it won't be part of the complete testsuite and is more likely to be ignored by other developers. A further explanation of these scripts is as follows: - run.py is a script used to run other Python scripts with tests with some commandline options. It takes the following command line arguments: ./run.py --name=testname --verbosity=0 --local=0 The testname is the name of the python module to run as a test. F.ex. 'mytest' to import mytest.py, or 'othertest' to import othertest/__init__.py. This module must have defined a function 'test' with one argument, the verbosity. Increasing the verbosity parameter results in more textual output during the tests. The final parameter 'local' can be set to 0 or 1, and if 1 it will add the locally built (uninstalled) SyFi and sfc modules to the import path. Thus run.py can be used to run the other tests with the installed version of SyFi and the newest local build by simply switching one parameter. The default verbosity is 0, default name is 'runall', and default 'local' value is 0. - runall.py is a script that defines a function test, where other tests defined in python can be added to run all tests in sequence. When adding new tests, they must be added here manually. - runall.sh is a bash script that calls ./run.py with each test in sequence, giving each test module its own fresh python environment. The reason for this is that there are some global state variables in both GiNaC, SyFi, and sfc, the effect of which should be isolated from the test runs. When adding new tests, they must be added here manually. syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_callbacks/0000755000175000017500000000000011674103626022630 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sfc_callbacks/callback_forms.py0000755000175000017500000002571411672223006026151 0ustar johannrjohannr#!/usr/bin/env python from swiginac import * import sfc from sfc import * from sfc.symbolic_utils import * import sfc.common.options from sfc.common.utilities import get_callable_name # ----------------------------------------------- Scalar forms: def constant_scalar(itg): """a(;) = \int 1 dx""" return numeric(1) def L2_scalar(w, itg): """a(;w) = \int w^2 dx""" return inner(w, w) def H1_semi_scalar(w, itg): """a(;w) = \int grad(w)^2 dx""" GinvT = itg.GinvT() Dw = grad(w, GinvT) return inner(Dw, Dw) def H1_scalar(w, itg): """a(;w) = \int w^2 + grad(w)^2 dx""" GinvT = itg.GinvT() Dw = grad(w, GinvT) return inner(w, w) + inner(Dw, Dw) scalar_forms = [constant_scalar, L2_scalar, H1_semi_scalar, H1_scalar] # ----------------------------------------------- Vector forms: def constant_vector(v, itg): """a(v;) = \int 1 dx""" return numeric(1) def constant_source_vector(v, itg): """a(v;) = \int v dx""" return v def source_vector(v, f, itg): """a(v; f) = \int f . v dx""" return inner(f, v) vector_forms = [constant_vector, constant_source_vector, source_vector] # ----------------------------------------------- Vector boundary forms: def load_vector(v, t, itg): """a(v; t) = \int t . v dx""" return inner(t, v) # ----------------------------------------------- Matrix forms: def constant_matrix(v, u, itg): """a(v, u; ) = \int 1 dx""" return numeric(1) def mass_matrix(v, u, itg): """a(v, u; ) = \int u . v dx""" return inner(v, u) def mass_with_c_matrix(v, u, c, itg): """a(v, u; c) = \int c (u . v) dx""" return c * inner(v, u) def stiffness_matrix(v, u, itg): GinvT = itg.GinvT() Du = grad(u, GinvT) Dv = grad(v, GinvT) return inner(Du, Dv) def stiffness_with_M_matrix(v, u, M, itg): GinvT = itg.GinvT() Du = grad(u, GinvT) Dv = grad(v, GinvT) return inner(M * Du, Dv) matrix_forms = [constant_matrix, mass_matrix, mass_with_c_matrix, stiffness_matrix, stiffness_with_M_matrix] # ----------------------------------------------- Boundary matrix forms: def mass_boundary_matrix(v, u, itg): """a(v, u; ) = \int u . v ds""" return inner(v, u) # ----------------------------------------------- Testing: if __name__ == "__main__": import sys sfc.common.options.add_debug_code = False sfc.common.options.print_options() args = set(sys.argv[1:]) print_forms = True if "p" in args else False generate = True if "g" in args else False compile = True if "c" in args else False def check(form): form.sanity_check() if print_forms: print form if generate or compile: if compile: compiled_form = compile_form(form) print "Successfully compiled form:" print compiled_form print dir(compiled_form) else: res = write_ufc_code(form) print "Successfully generated form code:" print res quad_order = 3 formcount = 0 def form_name(callback): global formcount name = "form_%s_%d" % (get_callable_name(callback), formcount) formcount += 1 return name for nsd in [2, 3]: polygon = { 2: "triangle", 3: "tetrahedron" }[nsd] print "Using polygon = ", polygon fe0 = FiniteElement("P0", polygon, 0) fe1 = FiniteElement("Lagrange", polygon, 1) fe2 = FiniteElement("Lagrange", polygon, 2) scalar_elements = [fe0, fe1, fe2] vfe0 = VectorElement("P0", polygon, 0) vfe1 = VectorElement("Lagrange", polygon, 1) vfe2 = VectorElement("Lagrange", polygon, 2) vector_elements = [vfe0, vfe1, vfe2] tfe0 = TensorElement("P0", polygon, 0) tfe1 = TensorElement("Lagrange", polygon, 1) tfe2 = TensorElement("Lagrange", polygon, 2) tensor_elements = [tfe0, tfe1, tfe2] # quicker, for debugging: scalar_elements = [fe1] vector_elements = [vfe1] tensor_elements = [tfe1] all_elements = scalar_elements + vector_elements + tensor_elements for symbolic in [False, True]: print "Using symbolic = ", symbolic options = { "symbolic": symbolic, "quad_order": quad_order } # creating scalar callback forms: print "Testing scalar forms" for fe in all_elements: callback = L2_scalar basisfunctions = [] coefficients = [Function(fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) for fe in scalar_elements + vector_elements: callback = H1_semi_scalar basisfunctions = [] coefficients = [Function(fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = H1_scalar basisfunctions = [] coefficients = [Function(fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) # creating vector callback forms: print "Testing vector forms" for fe in all_elements: callback = constant_vector basisfunctions = [TestFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) for fe in scalar_elements: callback = constant_source_vector basisfunctions = [TestFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) for fe in scalar_elements: for f_fe in scalar_elements: callback = source_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = load_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, exterior_facet_integrands=[callback], options=options) check(form) for fe in vector_elements: for f_fe in vector_elements: callback = source_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = load_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, exterior_facet_integrands=[callback], options=options) check(form) for fe in tensor_elements: for f_fe in tensor_elements: callback = source_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = load_vector basisfunctions = [TestFunction(fe)] coefficients = [Function(f_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, exterior_facet_integrands=[callback], options=options) check(form) # creating matrix callback forms: print "Testing matrix forms" for fe in all_elements: callback = constant_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = mass_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) callback = mass_boundary_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, exterior_facet_integrands=[callback], options=options) check(form) for c_fe in scalar_elements: callback = mass_with_c_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [Function(c_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) for fe in scalar_elements + vector_elements: callback = stiffness_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) for M_fe in scalar_elements + tensor_elements: callback = stiffness_with_M_matrix basisfunctions = [TestFunction(fe), TrialFunction(fe)] coefficients = [Function(M_fe)] form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options) check(form) syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_callbacks/__init__.py0000644000175000017500000000010011672223006024721 0ustar johannrjohannr def test(verbosity=0): print "No test here, in", __file__ syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_callbacks/clean.sh0000755000175000017500000000015111672223006024237 0ustar johannrjohannr#!/bin/bash echo rm -rf sfc_form_* rm -rf sfc_form_* echo rm -f generated_code/* rm -f generated_code/* syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_callbacks/scratch.py0000644000175000017500000001442211672223006024625 0ustar johannrjohannr def boundary_callback(u, v, data): GinvT = data.GinvT() n = data.n() Du = grad(u, GinvT) return inner(inner(n, Du), v) # example low level forms: def mass_v0(itg): """Compact version""" for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): itg.A[(i,j)] = inner( itg.v_basis(0, i), itg.v_basis(1, j) ) def mass_v1(itg): """More elaborate version""" for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): u = itg.v_basis(0, i) v = itg.v_basis(1, j) itg.A[(i,j)] = inner(u, v) def mass_v2(itg): """'Jacobi' version""" dofs = itg.w_dofs(0) usum = itg.w_sum(0) for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): u = diff(usum, dofs[i]) v = itg.v_basis(1, j) itg.A[(i,j)] = inner(u, v) def stiffness_v1(itg): """symbolic-grad-version""" GinvT = itg.GinvT() for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): u = itg.v_basis(0, i) v = itg.v_basis(1, j) Du = grad(u, GinvT) Dv = grad(v, GinvT) #Du = itg.add_token(Du) # TODO: do it like this? #Dv = itg.add_token(Dv) itg.A[(i,j)] = inner(Du, Dv) def stiffness_v2(itg): """'Manual Jacobi' version""" GinvT = itg.GinvT() dofs = itg.w_dofs(0) usum = itg.w_sum(0) Du = grad(usum, GinvT) for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): v = itg.v_basis(1, j) Dv = grad(v, GinvT) integrand = inner(Du, Dv) itg.A[(i,j)] = diff(integrand, dofs[i]) # example prototype forms for alternate syntax: def stiffness_short(itg): """alternative short version""" print "Non-working prototype!" #f, g = itg.w_sums(0, 1) # TODO: do it like this? for (i, j) in itg.indices: u, v = itg.v_basis_functions(i, j) # TODO: do it like this? Du, Dv = itg.v_basis_function_gradients(i, j) # TODO: do it like this? itg.A[(i,j)] = inner(Du, Dv) def stiffness_v0(itg): """grad-from-itg-version""" print "Non-working prototype!" for i in range(itg.num_v_dofs(0)): for j in range(itg.num_v_dofs(1)): u = itg.v_basis(0, i) v = itg.v_basis(1, j) Du = itg.grad_v(0, i) # TODO: do it like this? Dv = itg.grad_v(1, j) itg.A[(i,j)] = inner(Du, Dv) # example nonlinear forms for automatic Jacobi creation: def nonlinear_boundary_F(itg): """F_i(w,f) = \int_\dOmega f(x) e^{t \cdot u(x)} (n \cdot grad u) v_i(x) ds Coefficients: w (u from last iteration) f """ GinvT = itg.GinvT() n = itg.n() t = itg.t() w = itg.w_sum(0) f = itg.w_sum(1) Dw = grad(w, GinvT) nDw = inner(n, Dw) wn = inner(n, w) wt = inner(t, w) exp_wt = exp( wt ) assert isinstance(n, matrix) assert isinstance(w, matrix) assert n.nops() == w.nops() assert not isinstance(wn.evalm(), matrix) assert not isinstance(wt.evalm(), matrix) tmp = f * exp_wt * nDw for i in range(itg.num_v_dofs(0)): v = itg.v_basis(0, i) itg.A[(i,)] = inner(tmp, v) def nonlinear_F(itg): """Nonlinear test form F_i(w) = \int_\Omega w^2(x) w(x) v_i(x) dx]""" w = itg.w_sum(0) w2 = inner(w, w) for i in range(itg.num_v_dofs(0)): v = itg.v_basis(0, i) itg.A[(i,)] = w2 * inner(w, v) def stiffness_with_tokens_matrix(u, v, M, data): GinvT = data.GinvT() Du = grad(u, GinvT) Dv = grad(v, GinvT) # create manual temporary variables: Du = data.add_token("Du", Du) Dv = data.add_token("Dv", Dv) return inner(M * Du, Dv) if __name__ == "__main__": print_forms = False print_forms = True nsd = 2 SyFi.initSyFi(nsd) polygon = SyFi.ReferenceTriangle() fe0 = SyFi.P0(polygon) fe1 = SyFi.Lagrange(polygon, 1) fe2 = SyFi.Lagrange(polygon, 2) vfe0 = SyFi.VectorP0(polygon) vfe1 = SyFi.VectorLagrange(polygon, 1) vfe2 = SyFi.VectorLagrange(polygon, 2) tfe0 = SyFi.TensorP0(polygon) tfe1 = SyFi.TensorLagrange(polygon, 1) tfe2 = SyFi.TensorLagrange(polygon, 2) fe_list = [fe1, fe1] #form = UserForm(rank=2, num_coefficients=0, name="mass", fe_list=fe_list, symbolic=False, quad_order=3) form = UserForm(rank=2, num_coefficients=0, name="mass", fe_list=fe_list, symbolic=True, quad_order=-1) if print_forms: print form form.sanity_check() citg = form.cell_integral() mass_v0(citg) if print_forms: print form form.sanity_check() # testing callback version of user interface: fe_list = [fe1, fe1] form = CallbackForm(name="mass", rank=2, num_coefficients=0, fe_list=fe_list, symbolic=True, quad_order=-1, cell_integrands=[mass_callback]) if print_forms: print form form.sanity_check() fe_list = [vfe1, vfe1, fe0] mf = CallbackForm(name="mass_with_c", rank=2, num_coefficients=1, fe_list=fe_list, symbolic=True, quad_order=-1, cell_integrands=[mass_with_c_callback]) if print_forms: print mf fe_list = [vfe1, vfe1, tfe0] form = CallbackForm(rank=2, fe_list=fe_list, symbolic=True, quad_order=-1, cell_integrands=[stiffness_with_M_callback]) if print_forms: print form form.sanity_check() fe_list = [fe2, fe2] form = CallbackForm(rank=2, fe_list=fe_list, symbolic=True, quad_order=-1, exterior_facet_integrands=[boundary_callback]) if print_forms: print form form.sanity_check() # testing coefficient counting fe_list = [fe1, fe0, fe2] form = UserForm(rank=0, num_coefficients=3, fe_list=fe_list) itg = form.cell_integral() if print_forms: print form form.sanity_check() # testing Jacobi version of user interface: fe_list = [vfe1, vfe1, fe0] F = UserForm(rank=1, num_coefficients=2, name="F", fe_list=fe_list, symbolic=True, quad_order=-1) itg = F.cell_integral() nonlinear_F(itg) itg.sanity_check() itg = F.exterior_facet_integral() nonlinear_boundary_F(itg) if print_forms: print F itg.sanity_check() J = Jacobi(F) if print_forms: print J J.sanity_check() syfi-1.0.0.dfsg.orig/tests/python/tests/SyFi_polygons/0000755000175000017500000000000011674103626022662 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/SyFi_polygons/__init__.py0000644000175000017500000000003011672223006024755 0ustar johannrjohannr from test import test syfi-1.0.0.dfsg.orig/tests/python/tests/SyFi_polygons/spacetimedomain.py0000644000175000017500000000020311672223006026362 0ustar johannrjohannr from swiginac import * from SyFi import * initSyFi(2) l = ReferenceLine() t = ReferenceTriangle() sd = SpaceTimeDomain(l, t) syfi-1.0.0.dfsg.orig/tests/python/tests/SyFi_polygons/test.py0000755000175000017500000000160211672223006024206 0ustar johannrjohannr#!/usr/bin/env python import unittest import SyFi class MyTest(unittest.TestCase): def setUp(self): # initialize stuff #debug("setUp") self.foo = 1 def tearDown(self): # delete initialized stuff #debug("tearDown") del self.foo def testSetup(self): # test initialized stuff #debug("testSetup") assert self.foo def testMyStuff(self): # test whatever meant by "MyStuff" #debug("testMyStuff") assert 1 def testFailureExample(self): assert 1 #assert 0 # uncomment to see how a failure looks like def test(verbosity=0): classes = [MyTest] suites = [unittest.makeSuite(c) for c in classes] testsuites = unittest.TestSuite(suites) unittest.TextTestRunner(verbosity=verbosity).run(testsuites) if __name__ == "__main__": test() syfi-1.0.0.dfsg.orig/tests/python/tests/demos/0000755000175000017500000000000011674103626021165 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/demos/crouzeixraviart.py0000644000175000017500000000302111672223006024765 0ustar johannrjohannr#!/usr/bin/python from swiginac import * from SyFi import * initSyFi(3) x = cvar.x; y = cvar.y; z = cvar.z # fetch some global variables class CrouzeixRaviart: """ Python implementation of the Crouzeix-Raviart element. The corresponding C++ implementation is in the file CrouzeixRaviart.cpp. """ def __init__(self, polygon): """ Constructor """ self.Ns = [] self.dofs = [] self.polygon = polygon self.compute_basis_functions() def compute_basis_functions(self): """ Compute the basis functions and degrees of freedom and put them in Ns and dofs, respectively. """ polspace = bernstein(1,triangle,"a") N = polspace[0] variables = polspace[1] for i in range(0,3): line = triangle.line(i) dofi = line.integrate(N) self.dofs.append(dofi) for i in range(0,3): equations = [] for j in range(0,3): equations.append(relational(self.dofs[j], dirac(i,j))) sub = lsolve(equations, variables) Ni = N.subs(sub) self.Ns.append(Ni); def N(self,i): return self.Ns[i] def dof(self,i): return self.dofs[i] def nbf(self): return len(self.Ns) p0 = [0,0,0]; p1 = [1,0,0]; p2 = [0,1,0]; triangle = Triangle(p0, p1, p2) fe = CrouzeixRaviart(triangle) fe.compute_basis_functions() print fe.nbf() for i in range(0,fe.nbf()): print "N(%d) = "%i, fe.N(i).eval().printc() print "grad(N(%d)) = "%i, grad(fe.N(i)).eval().printc() print "dof(%d) = "%i, fe.dof(i).eval().printc() syfi-1.0.0.dfsg.orig/tests/python/tests/demos/__init__.py0000644000175000017500000000010011672223006023256 0ustar johannrjohannr def test(verbosity=0): print "No test here, in", __file__ syfi-1.0.0.dfsg.orig/tests/python/tests/demos/geom_test.py0000644000175000017500000000364611672223006023527 0ustar johannrjohannr from swiginac import * from SyFi import * from sfc.integral_tools import geometry_mapping from sfc.symbolic_utils import symbol, symbols initSyFi(2) x =cvar.x; y =cvar.y triangle = Triangle([1.3, 1.3], [2.4,2.1], [1.4, 2.8]) G, x0 = geometry_mapping(triangle) print G*matrix(2,1, [0,0]) + x0 print G*matrix(2,1, [1,0]) + x0 print G*matrix(2,1, [0,1]) + x0 Ginv = G.inverse() print Ginv*(matrix(2,1, [1.3,1.3]) - x0) print Ginv*(matrix(2,1, [2.4,2.1]) - x0) print Ginv*(matrix(2,1, [1.4,2.8]) - x0) fe = Lagrange(triangle) print "global fe.N(0) ", fe.N(0) reference_triangle = ReferenceTriangle() reference_fe = Lagrange(reference_triangle) xi0, xi1 = symbol("xi0"), symbol("xi1") N0 = reference_fe.N(0).subs( [x == xi0, y == xi1] ) #xi = matrix(2,1,[xi0, xi1]) p = matrix(2,1,[x, y]) xi = Ginv*(p - x0) N0 = reference_fe.N(0).subs( [xi == xi[0,0], xi1 == xi[1,0]] ) print "fe.N(0) ", fe.N(0) print "3D" initSyFi(3) x =cvar.x; y =cvar.y; z = cvar.z tetrahedron = Tetrahedron([1.3, 1.3, 1.3], [2.4, 2.1, 2.2 ], [1.4, 2.8, 1.3], [1.5, 1.3, 3.0]) G, x0 = geometry_mapping(tetrahedron) print "G ", G print "x0 ", x0 print G*matrix(3,1, [0,0,0]) + x0 print G*matrix(3,1, [1,0,0]) + x0 print G*matrix(3,1, [0,1,0]) + x0 print G*matrix(3,1, [0,0,1]) + x0 Ginv = G.inverse() print Ginv*(matrix(3,1, [1.3,1.3,1.3]) - x0) print Ginv*(matrix(3,1, [2.4,2.1,2.2]) - x0) print Ginv*(matrix(3,1, [1.4,2.8,1.3]) - x0) print Ginv*(matrix(3,1, [1.5,1.3,3.0]) - x0) fe = Lagrange(tetrahedron) print "global fe.N(0) ", fe.N(0) reference_tetrahedron= ReferenceTetrahedron() reference_fe = Lagrange(reference_tetrahedron) xi0, xi1, xi2 = symbol("xi0"), symbol("xi1"), symbol("xi2") N0 = reference_fe.N(0).subs( [x == xi0, y == xi1, z == xi2] ) #xi = matrix(2,1,[xi0, xi1]) p = matrix(3,1,[x,y,z]) xi = Ginv*(p - x0) N0 = reference_fe.N(0).subs( [xi == xi[0,0], xi1 == xi[1,0], xi2 == xi[2,0]] ) print "fe.N(0) ", fe.N(0) syfi-1.0.0.dfsg.orig/tests/python/tests/demos/poisson1.py0000644000175000017500000000060711672223006023306 0ustar johannrjohannr#!/usr/bin/python from swiginac import * from SyFi import * p0 = [0,0,0]; p1 = [1,0,0]; p2 = [0,1,0] triangle = Triangle(p0, p1, p2) fe = Lagrange(triangle,4) print fe.nbf() for i in range(0,fe.nbf()): for j in range(0,fe.nbf()): integrand = inner(grad(fe.N(i)),grad(fe.N(j))) Aij = triangle.integrate(integrand) print "A(%d,%d)="%(i,j), Aij.eval() syfi-1.0.0.dfsg.orig/tests/python/tests/demos/time_element_test.py0000644000175000017500000000116011672223006025234 0ustar johannrjohannr from swiginac import * from SyFi import * t = ReferenceLine() triangle = ReferenceTriangle() fe = Lagrange(triangle, 2) space_time_domain = SpaceTimeDomain(t, triangle) space_time_fe = SpaceTimeElement(t, 3, fe) for i in range(0, space_time_fe.nbf()): print "fe.N(%d)= %s " % (i, space_time_fe.N(i)) print "fe.dof(%d)= %s " % (i, space_time_fe.dof(i)) for i in range(0, space_time_fe.nbf()): for j in range(0, space_time_fe.nbf()): integrand = space_time_fe.N(i)*space_time_fe.N(j) Aij = space_time_domain.integrate(integrand) print "A[%d, %d] = %s " % (i,j, Aij) syfi-1.0.0.dfsg.orig/tests/python/tests/demos/simple2.py0000644000175000017500000000060711672223006023106 0ustar johannrjohannr#!/usr/bin/python from swiginac import * from SyFi import * initSyFi(2) p0 = [0,0]; p1 = [1,0]; p2 = [0,1] triangle = Triangle(p0, p1, p2) fe = Lagrange() fe.set_order(4) fe.set_polygon(triangle) fe.compute_basis_functions() print fe.nbf() for i in range(0,fe.nbf()): print "N(%d)="%i, fe.N(i).eval() print "grad(N(%d))="%i, grad(fe.N(i)) print "dof(%d)="%i, fe.dof(i) syfi-1.0.0.dfsg.orig/tests/python/tests/demos/test_integration.py0000644000175000017500000000465511672223006025124 0ustar johannrjohannr from swiginac import * from SyFi import * from sfc.integral_tools import integral, geometry_mapping from sfc.symbolic_utils import symbol, symbols setDigits(5) print "" print "--------- 1D -----------------" print "" initSyFi(1) x = symbol("x") t = ReferenceLine() f = x*x*x print "symbolic integral of ",f," on reference line ", integral(t,f, True) print "numerical integral of ",f," on reference line ", integral(t,f, False,3) print "" print "--------- 2D -----------------" print "" initSyFi(2) x, y = symbols("xy") t = ReferenceTriangle() print "symbolic integral of ",f," on reference triangle ", integral(t,f, True) print "numerical integral of ",f," on reference triangle ", integral(t,f, False,3) print "" print "--------- 3D -----------------" print "" initSyFi(3) x, y, z = symbols("xyz") f = 3.7*x - 2.8*y + 7.4*z + 3.14 t = ReferenceTetrahedron() print "symbolic integral of ",f," on reference tetrahedron ", integral(t,f, True) print "numerical integral of ",f," on reference tetrahedron ", integral(t,f, False,3) print "" print "--------- 2D -----------------" print "" f = 3.7*x - 2.8*y + 3.14 initSyFi(2) x, y = symbols("xy") t = Triangle([1.3, 1.3], [2.4,2.1], [1.4, 2.8]) G, x0 = geometry_mapping(t) detG = G.determinant() fe = Lagrange(t) integrand = fe.N(0)*f print "" print "integral of ",f," on global triangle ", integral(t, integrand, True, 3) print "" xi0 = symbol("xi0"); xi1 = symbol("xi1") tr = ReferenceTriangle() fe = Lagrange(tr) N0 = fe.N(0).subs( [x == xi0, y == xi1] ) integrand = N0*f print "symbolic integral of ",f," on global triangle", integral(t, integrand, True, 1) print "numeric integral of ",f," on global triangle", integral(t, integrand, False, 2) print "" print "--------- 3D -----------------" print "" f = 3.7*x - 2.8*y + 7.4*z + 3.14 initSyFi(3) x, y, z = symbols("xyz") t = Tetrahedron([1.3, 1.3, 1.3], [2.4, 1.1, 1.2 ], [1.4, 2.8, 1.3], [1.5, 1.3, 3.0]) G, x0 = geometry_mapping(t) detG = G.determinant() fe = Lagrange(t) integrand = fe.N(0)*f print "integral of ",f," on global tetrahedron ", integral(t, integrand, True, 3) xi0 = symbol("xi0"); xi1 = symbol("xi1"); xi2 = symbol("xi2") tr = ReferenceTetrahedron() fe = Lagrange(tr) N0 = fe.N(0).subs( [x == xi0, y == xi1, z == xi2] ) print "symbolic integral of ",f," on global tetrahedron", integral(t, integrand, True, 1) print "numeric integral of ",f," on global tetrahedron", integral(t, integrand, False, 3) syfi-1.0.0.dfsg.orig/tests/python/tests/demos/simple.py0000644000175000017500000000017411672223006023023 0ustar johannrjohannrfrom swiginac import * x = symbol("x") y = symbol("y") f = sin(x) print "f = ", f dfdx = diff(f,x) print "dfdx = ", dfdx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/0000755000175000017500000000000011674103626023177 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/__init__.py0000644000175000017500000000003011672223006025272 0ustar johannrjohannr from test import test syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/test.py0000755000175000017500000000236311672223006024530 0ustar johannrjohannr#!/usr/bin/env python import unittest import os, sys, glob, shutil, commands import SyFi import sfc _test_temp_dir = "temp_dir" class SFCCommandlineTest(unittest.TestCase): def setUp(self): print "Running templatetest in testdir" print "Imported SyFi from location", SyFi.__file__ print "Imported sfc from location", sfc.__file__ shutil.rmtree(_test_temp_dir, ignore_errors=True) os.mkdir(_test_temp_dir) os.chdir(_test_temp_dir) def tearDown(self): os.chdir("..") #shutil.rmtree(_test_temp_dir, ignore_errors=True) def testForms(self): forms = glob.glob("../forms/*.form") for f in forms: #cmd = "sfc -o %s %s" % (_test_temp_dir, f) cmd = "sfc %s" % f status, output = commands.getstatusoutput(cmd) self.assertTrue(status == 0) #def testFailureExample(self): # assert 1 # #assert 0 # uncomment to see how a failure looks like def test(verbosity=0): classes = [SFCCommandlineTest] suites = [unittest.makeSuite(c) for c in classes] testsuites = unittest.TestSuite(suites) unittest.TextTestRunner(verbosity=verbosity).run(testsuites) if __name__ == "__main__": test() syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/0000755000175000017500000000000011674103626024325 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/convection_jacobi2.form0000644000175000017500000000026611672223006030747 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = (u[j]*w[i].dx(j) + w[j]*u[i].dx(j)) * v[i] * dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/convection_jacobi.form0000644000175000017500000000026511672223006030664 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) b = dot(dot(u, grad(w)) + dot(w, grad(u)), v) * dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/L2norm.form0000644000175000017500000000013111672223006026347 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) f = Function(element) a = f**2*dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/stiffness.form0000644000175000017500000000021111672223006027201 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) a = dot(grad(u), grad(v))*dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/H1norm.form0000644000175000017500000000016611672223006026352 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) f = Function(element) a = ( f*f + dot(grad(f), grad(f)) ) * dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/source.form0000644000175000017500000000016211672223006026502 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) v = TestFunction(element) f = Function(element) a = f*v*dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/mass.form0000644000175000017500000000016711672223006026152 0ustar johannrjohannr element = FiniteElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) a = u*v*dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/explicit_convection.form0000644000175000017500000000024511672223006031254 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) u = TrialFunction(element) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(u)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/tests/sfc_commandline/forms/convection_vector.form0000644000175000017500000000021211672223006030727 0ustar johannrjohannr element = VectorElement("Lagrange", "triangle", 1) v = TestFunction(element) w = Function(element) a = dot( dot(w, grad(w)), v ) * dx syfi-1.0.0.dfsg.orig/tests/python/tests/run.py0000755000175000017500000000136311672223006021233 0ustar johannrjohannr#!/usr/bin/env python """ Usage: ./localrun.py --name=mytestmodulename --verbosity=[0|1|...|N] --local=[0|1] """ import sys # get commandline options import getopt longoptions = ["name=", "verbosity=", "local="] opt, args = getopt.getopt(sys.argv[1:], "", longoptions) # set default options name = "runall" verbosity = 0 local = 0 # override defaults if provided for o in opt: oname = o[0].strip("-") s = "%s = %s.__class__(%s)" % (oname, oname, repr(o[1])) exec(s) # optionally use the local uninstalled SyFi and sfc modules if local: import os.path as p syfipath = p.abspath( p.join(p.curdir, p.pardir) ) sys.path.insert(0, syfipath) # import module and run test m = __import__(name) m.test(verbosity) syfi-1.0.0.dfsg.orig/tests/python/tests/runall.py0000755000175000017500000000121211672223006021715 0ustar johannrjohannr#!/usr/bin/env python """ Intention: Import and run a comprehensive default set of tests. Problem: Tests may depend on the global state of the python modules SyFi and sfc, in which case they should be called from the runall.sh script instead. """ # TODO: to include more tests, add them to # 1) the import list below # 2) the call list in test() below import templatetestdir import codeformatting #import misc import sfc_callbacks def test(verbosity=0): templatetestdir.test(verbosity) codeformatting.test(verbosity) #misc.test(verbosity) sfc_callbacks.test(verbosity) if __name__ == "__main__": test() syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/0000755000175000017500000000000011674103626022276 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/sympy_test.py0000644000175000017500000000066211672223006025065 0ustar johannrjohannr from fem_sympy import * t = ReferenceSimplex(2) fe = Lagrange(2,5) u = 0 #compute u = sum_i u_i N_i us = [] for i in range(0, fe.nbf()): ui = Symbol("u_%d" % i) us.append(ui) u += ui*fe.N[i] J = zeronm(fe.nbf(), fe.nbf()) for i in range(0, fe.nbf()): Fi = u*fe.N[i] for j in range(0, fe.nbf()): uj = us[j] integrands = diff(Fi, uj) J[j,i] = t.integrate(integrands) #print J syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/run.v0000644000175000017500000000116611672223006023266 0ustar johannrjohannrsyfi timing [[1/60,0,-1/360,0,-1/90,-1/360],[0,4/45,0,2/45,2/45,-1/90],[-1/360,0,1/60,-1/90,0,-1/360],[0,2/45,-1/90,4/45,2/45,0],[-1/90,2/45,0,2/45,4/45,0],[-1/360,-1/90,-1/360,0,0,1/60]] 0.10user 0.00system 0:00.14elapsed 76%CPU (0avgtext+0avgdata 0maxresident)k 0inputs+0outputs (0major+2019minor)pagefaults 0swaps sympy timing 1/60 0 -1/360 0 -1/90 -1/360 0 4/45 0 2/45 2/45 -1/90 -1/360 0 1/60 -1/90 0 -1/360 0 2/45 -1/90 4/45 2/45 0 -1/90 2/45 0 2/45 4/45 0 -1/360 -1/90 -1/360 0 0 1/60 23.07user 0.22system 0:23.34elapsed 99%CPU (0avgtext+0avgdata 0maxresident)k 0inputs+0outputs (0major+6653minor)pagefaults 0swaps syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/run.sh0000644000175000017500000000024411672223006023427 0ustar johannrjohannr#!/bin/sh echo "syfi timing " > run.v 2>&1 time python syfi_test.py >> run.v 2>&1 echo "sympy timing " >> run.v 2>&1 time python sympy_test.py >> run.v 2>&1 syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/fem_sympy.py0000644000175000017500000001273611672223006024662 0ustar johannrjohannr from sympy import * x,y,z = symbols('xyz') class ReferenceSimplex: def __init__(self, nsd): self.nsd = nsd coords = [] if nsd <= 3: coords = symbols('xyz')[:nsd] else: coords = [] for d in range(0,nsd): coords.append(Symbol("x_%d" % d)) self.coords = coords def integrate(self,f): coords = self.coords nsd = self.nsd limit = 1 for p in coords: limit -= p intf = f for d in range(0,nsd): p = coords[d] limit += p intf = integrate(intf, (p, 0, limit)) return intf def bernstein_space(order, nsd): if nsd > 3: raise RuntimeError("Bernstein only implemented in 1D, 2D, and 3D") sum = 0 basis = [] coeff = [] if nsd == 1: b1, b2 = x, 1-x for o1 in range(0,order+1): for o2 in range(0,order+1): if o1 + o2 == order: aij = Symbol("a_%d_%d" % (o1,o2)) sum += aij*binomial(order,o1)*pow(b1, o1)*pow(b2, o2) basis.append(binomial(order,o1)*pow(b1, o1)*pow(b2, o2)) coeff.append(aij) if nsd == 2: b1, b2, b3 = x, y, 1-x-y for o1 in range(0,order+1): for o2 in range(0,order+1): for o3 in range(0,order+1): if o1 + o2 + o3 == order: aij = Symbol("a_%d_%d_%d" % (o1,o2,o3)) fac = factorial(order)/(factorial(o1)*factorial(o2)*factorial(o3)) sum += aij*fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3) basis.append(fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)) coeff.append(aij) if nsd == 3: b1, b2, b3, b4 = x, y, z, 1-x-y-z for o1 in range(0,order+1): for o2 in range(0,order+1): for o3 in range(0,order+1): for o4 in range(0,order+1): if o1 + o2 + o3 + o4 == order: aij = Symbol("a_%d_%d_%d_%d" % (o1,o2,o3,o4)) fac = factorial(order)/(factorial(o1)*factorial(o2)*factorial(o3)*factorial(o4)) sum += aij*fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)*pow(b4, o4) basis.append(fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)*pow(b4, o4)) coeff.append(aij) return sum, coeff, basis def create_point_set(order, nsd): h = Rational(1,order) set = [] if nsd == 1: for i in range(0, order+1): x = i*h if x <= 1: set.append((x,y)) if nsd == 2: for i in range(0, order+1): x = i*h for j in range(0, order+1): y = j*h if x + y <= 1: set.append((x,y)) if nsd == 3: for i in range(0, order+1): x = i*h for j in range(0, order+1): y = j*h for k in range(0, order+1): z = j*h if x + y + z <= 1: set.append((x,y,z)) return set def create_matrix(equations, coeffs): A = zeronm(len(equations), len(equations)) i = 0; j = 0 for j in range(0, len(coeffs)): c = coeffs[j] for i in range(0, len(equations)): e = equations[i] d, r = div(e, c) A[i,j] = d return A class Lagrange: def __init__(self,nsd, order): self.nsd = nsd self.order = order self.compute_basis() def nbf(self): return len(self.N) def compute_basis(self): order = self.order nsd = self.nsd N = [] pol, coeffs, basis = bernstein_space(order, nsd) points = create_point_set(order, nsd) equations = [] for p in points: ex = pol.subs(x, p[0]) if nsd > 1: ex = ex.subs(y, p[1]) if nsd > 2: ex = ex.subs(z, p[2]) equations.append(ex ) A = create_matrix(equations, coeffs) Ainv = A.inv() b = eye(len(equations)) xx = Ainv*b for i in range(0,len(equations)): Ni = pol for j in range(0,len(coeffs)): Ni = Ni.subs(coeffs[j], xx[j,i]) N.append(Ni) self.N = N if __name__ == '__main__': t = ReferenceSimplex(2) x,y,z = symbols('xyz') f = x+y print "integral of f = x+y ", t.integrate(f) print "" print "linear bernstein in 1D ", bernstein_space(1,1) print "linear bernstein in 2D ", bernstein_space(1,2) print "linear bernstein in 3D ", bernstein_space(1,3) print "" print "basis functions of a second order Lagrange element" fe = Lagrange(2,2) for i in range(0, fe.nbf()): print "N[%d]= %s " % (i,fe.N[i]) print "The Jacobian matrix of Fi = u * Ni " u = 0 #compute u = sum_i u_i N_i us = [] for i in range(0, fe.nbf()): ui = Symbol("u_%d" % i) us.append(ui) u += ui*fe.N[i] J = zeronm(fe.nbf(), fe.nbf()) for i in range(0, fe.nbf()): Fi = u*fe.N[i] for j in range(0, fe.nbf()): uj = us[j] integrands = diff(Fi, uj) J[j,i] = t.integrate(integrands) print J syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/sympy_core_test.py0000644000175000017500000000066611672223006026101 0ustar johannrjohannr from fem_sympy_core import * t = ReferenceSimplex(2) fe = Lagrange(2,5) u = 0 #compute u = sum_i u_i N_i us = [] for i in range(0, fe.nbf()): ui = Symbol("u_%d" % i) us.append(ui) u += ui*fe.N[i] J = Matrix(fe.nbf(), fe.nbf()) for i in range(0, fe.nbf()): Fi = u*fe.N[i] for j in range(0, fe.nbf()): uj = us[j] integrands = diff(Fi, uj) J[j,i] = t.integrate(integrands) #print J syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/fem_sympy_core.py0000644000175000017500000001301011672223006025654 0ustar johannrjohannr import sys sys.path.append("/home/kent-and/local/src/sympycore") from sympycore import * x = Symbol('x') y = Symbol('y') z = Symbol('z') class ReferenceSimplex: def __init__(self, nsd): self.nsd = nsd coords = [] if nsd <= 3: coords = [x,y,z][:nsd] else: coords = [] for d in range(0,nsd): coords.append(Symbol("x_%d" % d)) self.coords = coords def integrate(self,f): coords = self.coords nsd = self.nsd limit = 1 for p in coords: limit -= p intf = f for d in range(0,nsd): p = coords[d] limit += p intf = integrate(intf.expand(), (p, 0, limit)) return intf def bernstein_space(order, nsd): if nsd > 3: raise RuntimeError("Bernstein only implemented in 1D, 2D, and 3D") sum = 0 basis = [] coeff = [] if nsd == 1: b1, b2 = x, 1-x for o1 in range(0,order+1): for o2 in range(0,order+1): if o1 + o2 == order: aij = Symbol("a_%d_%d" % (o1,o2)) sum += aij*binomial(order,o1)*pow(b1, o1)*pow(b2, o2) basis.append(binomial(order,o1)*pow(b1, o1)*pow(b2, o2)) coeff.append(aij) if nsd == 2: b1, b2, b3 = x, y, 1-x-y for o1 in range(0,order+1): for o2 in range(0,order+1): for o3 in range(0,order+1): if o1 + o2 + o3 == order: aij = Symbol("a_%d_%d_%d" % (o1,o2,o3)) fac = factorial(order)/(factorial(o1)*factorial(o2)*factorial(o3)) sum += aij*fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3) basis.append(fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)) coeff.append(aij) if nsd == 3: b1, b2, b3, b4 = x, y, z, 1-x-y-z for o1 in range(0,order+1): for o2 in range(0,order+1): for o3 in range(0,order+1): for o4 in range(0,order+1): if o1 + o2 + o3 + o4 == order: aij = Symbol("a_%d_%d_%d_%d" % (o1,o2,o3,o4)) fac = factorial(order)/(factorial(o1)*factorial(o2)*factorial(o3)*factorial(o4)) sum += aij*fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)*pow(b4, o4) basis.append(fac*pow(b1, o1)*pow(b2, o2)*pow(b3, o3)*pow(b4, o4)) coeff.append(aij) return sum, coeff, basis def create_point_set(order, nsd): h = Rational(1,order) set = [] if nsd == 1: for i in range(0, order+1): x = i*h if x <= 1: set.append((x,y)) if nsd == 2: for i in range(0, order+1): x = i*h for j in range(0, order+1): y = j*h if x + y <= 1: set.append((x,y)) if nsd == 3: for i in range(0, order+1): x = i*h for j in range(0, order+1): y = j*h for k in range(0, order+1): z = j*h if x + y + z <= 1: set.append((x,y,z)) return set def create_matrix(equations, coeffs): A = Matrix(len(equations), len(equations)) i = 0; j = 0 for j in range(0, len(coeffs)): c = coeffs[j] for i in range(0, len(equations)): e = equations[i] d = diff(e, c) A[i,j] = d return A class Lagrange: def __init__(self,nsd, order): self.nsd = nsd self.order = order self.compute_basis() def nbf(self): return len(self.N) def compute_basis(self): order = self.order nsd = self.nsd N = [] pol, coeffs, basis = bernstein_space(order, nsd) points = create_point_set(order, nsd) equations = [] for p in points: ex = pol.subs(x, p[0]) if nsd > 1: ex = ex.subs(y, p[1]) if nsd > 2: ex = ex.subs(z, p[2]) equations.append(ex ) A = create_matrix(equations, coeffs) b = eye(len(equations)) xx = A//b for i in range(0,len(equations)): Ni = pol for j in range(0,len(coeffs)): Ni = Ni.subs(coeffs[j], xx[j,i]) N.append(Ni) self.N = N if __name__ == '__main__': t = ReferenceSimplex(2) f = x+y print "integral of f = x+y ", t.integrate(f) print "" print "linear bernstein in 1D ", bernstein_space(1,1) print "linear bernstein in 2D ", bernstein_space(1,2) print "linear bernstein in 3D ", bernstein_space(1,3) print "" print "basis functions of a second order Lagrange element" fe = Lagrange(2,2) for i in range(0, fe.nbf()): print "N[%d]= %s " % (i,fe.N[i]) print "The Jacobian matrix of Fi = u * Ni " u = 0 #compute u = sum_i u_i N_i us = [] for i in range(0, fe.nbf()): ui = Symbol("u_%d" % i) us.append(ui) u += ui*fe.N[i] J = zeronm(fe.nbf(), fe.nbf()) for i in range(0, fe.nbf()): Fi = u*fe.N[i] for j in range(0, fe.nbf()): uj = us[j] integrands = diff(Fi, uj) J[j,i] = t.integrate(integrands) print J syfi-1.0.0.dfsg.orig/tests/python/tests/sympy_test/syfi_test.py0000644000175000017500000000065111672223006024654 0ustar johannrjohannr from swiginac import * from SyFi import * t = ReferenceTriangle() fe = Lagrange(t,5) u = 0 us = [] for i in range(0, fe.nbf()): ui = symbol("u_%d" % i) us.append(ui) u += ui*fe.N(i) J = matrix(fe.nbf(), fe.nbf()) for i in range(0, fe.nbf()): Fi = u*fe.N(i) for j in range(0, fe.nbf()): uj = us[j] integrands = diff(Fi, uj) J[j,i] = t.integrate(integrands) #print J syfi-1.0.0.dfsg.orig/tests/python/tests/codeformatting/0000755000175000017500000000000011674103626023063 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/python/tests/codeformatting/__init__.py0000644000175000017500000000010011672223006025154 0ustar johannrjohannr def test(verbosity=0): print "No test here, in", __file__ syfi-1.0.0.dfsg.orig/tests/python/tests/codeformatting/codeformatter.py0000644000175000017500000000147511672223006026273 0ustar johannrjohannr#!/usr/bin/env python #from sfc.CodeFormatter import CodeFormatter from newsfc.codegeneration import CodeFormatter facet_dofs = [(2, 0, 1), (5, 3, 4), (6, 7, 8)] code = CodeFormatter() code.begin_switch("facet") for i, dofs in enumerate(facet_dofs): code.begin_case(i) for j, d in enumerate(dofs): code += "dofs[%d] = %d;" % (j, d) code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Invalid facet number.");' code.outdent() code.end_switch() code = str(code) assert code == """switch(facet) { case 0: dofs[0] = 2; dofs[1] = 0; dofs[2] = 1; break; case 1: dofs[0] = 5; dofs[1] = 3; dofs[2] = 4; break; case 2: dofs[0] = 6; dofs[1] = 7; dofs[2] = 8; break; default: throw std::runtime_error("Invalid facet number."); }""" syfi-1.0.0.dfsg.orig/tests/python/tests/runall.sh0000755000175000017500000000120711672223006021703 0ustar johannrjohannr#!/bin/bash # # Intention: Run a comprehensive default set of tests, each in a separate clean python environment. # # TODO: optionally get LOCAL and VERBOSITY as command line arguments # set this to 1 to run from the local syfi build instead of the installed syfi LOCAL=0 # increase this to get more text output VERBOSITY=0 # to add more tests, add them to this command list ./run.py --local=$LOCAL --verbosity=$VERBOSITY --name=templatetestdir ./run.py --local=$LOCAL --verbosity=$VERBOSITY --name=codeformatting #./run.py --local=$LOCAL --verbosity=$VERBOSITY --name=misc ./run.py --local=$LOCAL --verbosity=$VERBOSITY --name=sfc_callbacks syfi-1.0.0.dfsg.orig/tests/python/tests/run_pychecker.py0000755000175000017500000000055211672223006023267 0ustar johannrjohannr#!/usr/bin/env python "Find potential bugs in sfc by static code analysis." # PyChecker skips previously loaded modules import os, sys, glob, shutil, re, logging, subprocess, hashlib import instant try: import numpy except: pass try: import numarray except: pass try: import Numeric except: pass import pychecker.checker import newsfc syfi-1.0.0.dfsg.orig/tests/python/CMakeLists.txt0000644000175000017500000000010711672223006021443 0ustar johannrjohannr add_test(NAME python_tests COMMAND ${PYTHON_EXECUTABLE} run_tests.py) syfi-1.0.0.dfsg.orig/tests/cpp/0000755000175000017500000000000011674103626016155 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/tests/cpp/box_ex1.gar.r0000644000175000017500000000070411672223006020447 0ustar johannrjohannrGARClstclassrelationalsymbolxnamelhrrhopseqysztnumeric0number1repr1/8intfaddrestR1 9223372036854775808 -62coeffR-1 9223372036854775808 -63overall_coeffrepr2intf2  * * 3CI *  *  3CI *  * 3CI Š Š SS S  SS S  SS S  SSSS S S  Š * Š Š »ËÛ 3CI *  »ËÛ 3CI * »ËÛ 3CI SS S  SS S  SS S  SSSSSSsyfi-1.0.0.dfsg.orig/tests/cpp/fe_ex1.gar.r0000644000175000017500000000027011672223006020247 0ustar johannrjohannrGARCaddclasssymbolynamerestnumeric-1numbercoeffx1overall_coeffN0lst0seqD0N1D1N2D2   " B "  B  +K+Kc B ƒƒ ƒƒ ƒƒsyfi-1.0.0.dfsg.orig/tests/cpp/simple_test.cpp0000644000175000017500000000037311672223006021205 0ustar johannrjohannr#include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { symbol x("x"); ex f = x*x; ex intf = integral(x,0,1,f); intf = eval_integ(intf); EQUAL_OR_DIE(intf, "1/3"); return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/compare_archives.cpp0000644000175000017500000000311511672223006022164 0ustar johannrjohannr#include #include using namespace std; #include #include using namespace GiNaC; using SyFi::initSyFi; using SyFi::compare_archives; int main(int argc, char **argv) { // symbols from symbol factory initSyFi(3); using SyFi::x; using SyFi::y; using SyFi::z; // some different symbols with same names ex xl = symbol("x"); ex yl = symbol("y"); ex zl = symbol("z"); ex e1 = xl*xl + yl*yl*yl + sin(zl); ex e2 = x *x + y *y *y + sin(z ); string exname1 = "testexpression1"; string exname2 = "testexpression2"; string exname3 = "testexpression3"; archive a1; a1.archive_ex(e1, exname1.c_str()); a1.archive_ex(e1*e1, exname2.c_str()); archive a2; a2.archive_ex(e2, exname1.c_str()); a2.archive_ex(e2*e2, exname2.c_str()); string filename1 = "compare_archives1.gar"; string filename2 = "compare_archives2.gar"; ofstream ofile1(filename1.c_str()); ofile1 << a1; ofile1.close(); ofstream ofile2(filename2.c_str()); ofile2 << a2; ofile2.close(); bool success; success = compare_archives(filename1, filename2); if(!success) { cout << "Failure!" << endl; return -1; } // now test that we get failure when we should a1.archive_ex(e1, exname3.c_str()); a2.archive_ex(e2+1, exname3.c_str()); ofstream fofile1(filename1.c_str()); fofile1 << a1; fofile1.close(); ofstream fofile2(filename2.c_str()); fofile2 << a2; fofile2.close(); success = compare_archives(filename1, filename2); if(success) { cout << "Failure! Different expressions compare as equal." << endl; return -1; } return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/mxpoisson_ex.cpp0000644000175000017500000000344611672223006021414 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle domain; // First the lowest order. // The lowest order is special, because we must use P0 RaviartThomas v_fe; v_fe.set_order(1); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); P0 p_fe; p_fe.set_polygon(domain); p_fe.compute_basis_functions(); usage(v_fe, p_fe); Dof dof; std::map, ex> A; compute_mixed_Poisson_element_matrix(v_fe, p_fe, dof, A); print(A); // Then for instance order 3 int order = 3; RaviartThomas v_fe2; v_fe2.set_order(order); v_fe2.set_polygon(domain); v_fe2.compute_basis_functions(); DiscontinuousLagrange p_fe2; p_fe2.set_order(order); p_fe2.set_polygon(domain); p_fe2.compute_basis_functions(); usage(v_fe2, p_fe2); Dof dof2; std::map, ex> A2; compute_mixed_Poisson_element_matrix(v_fe2, p_fe2, dof2, A2); print(A2); /* comment out test for now // regression test archive ar; map,ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A_", (*iter).first.first, (*iter).first.second).c_str()); } for (iter = A2.begin(); iter != A2.end() ; iter++) { ar.archive_ex((*iter).second, istr("A2_", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("mxpoisson_ex.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("mxpoisson_ex.gar.v", "mxpoisson_ex.gar.r")) { cerr << "Failure!" << endl; return -1; } */ return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/fe_ex3.gar.r0000644000175000017500000000050311672223006020250 0ustar johannrjohannrGARCaddclasspowersymbolynamebasisnumeric2numberexponentrestcoeffx-3mul1overall_coeff4N0-40N1-1N2N3N4N5   * J 3S *  3S J J [c[c‹ J [c[c[c[c[c‹ J J [c [c[c ‹  J [c[c ‹  [c [c[c ‹  [c[c‹ [c[c ‹ syfi-1.0.0.dfsg.orig/tests/cpp/box_ex1.cpp0000644000175000017500000000177311672223006020227 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); ex f = x*y*z; // integration over the reference box ReferenceBox box; ex repr = box.repr(); cout <<"b.repr "< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); ex p0 = lst(0.0,0.0,1.0); ex p1 = lst(1.0,0.0,1.0); ex p2 = lst(0.0,1.0,1.0); Triangle triangle(p0,p1,p2); ex repr = triangle.repr(); cout <<"t.repr "< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); Dof dof(true, true); // create two triangles Triangle t1(lst(0,0), lst(1,0), lst(0,1)); Triangle t2(lst(1,1), lst(1,0), lst(0,1)); // create the polynomial space ex Nj = pol(1,2,"a"); cout <<"Nj " < > vec; pair index; ex exdof; for (unsigned int i=0; i< dof.size(); i++) { exdof = dof.glob_dof(i); vec = dof.glob2loc(i); cout <<"global dof " <@A CEFGHIKMOQSUWY[]_aceg i!jl"n#p$q r s t u v w x y z { | } ~  €  ‚ ƒ „ … ‡%‰&‹'()‘*“+•,—-˜ ™šœ.ž/ 0¢1£¥2§3©4«5­6¯7±8³9µ:·;¹<»=½>¿?À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Ö@ØAÚBÜCÞDàEâFã ä å æçè/êGìHîIï ñJóKõL÷Mø:úNüOýNÿPQƒR…S‡Tˆ?‰ Š ‹ Œ  Ž   ‘ ’ “ ” • – — ˜ ™ š › œ  ŸU¡V£W¥X§Y©Zª)« ¬ ­ ®¯°0±H³[µ\¶"¸]º^¼_¾`¿=ÁaÃbÅcÆSÈdÊeË ÍfÎ$Ï Ð Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ågçhéiëjíkïlðDñ,ò-ó ôõö1÷Iø\úmû$ýnÿopƒq„?…n†oˆr‰?ŠnŒs$t ‘ ’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ ¢ £ ¤ ¥ §u©v«w­x¯y±z²w³y´vµu¶·¸¹ º"»$¼½¾¿!À#ÁÂÃÄÅÆÇÈÉÊË Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß á{ã|å}ç~éë€íîYð‚òƒóôõ2öJ÷]ønùû„ý…ÿ†‡‚2ƒ……ˆ‡‰ˆJ‰†Š‰‹]Œ‡nŽ   ‘ ’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ ¢ ¤Š¦‹§-©Œ«­Ž¯°-±,² ³´µ3¶K·^¸o¹º…¼¾‘À’Á7ÓŔǕÈNÊ–Ì—ÍaϘÐnÑ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä å ç™éšë›íœî ï ð òôžõ ö÷ø4ùLú_ûpü!ý†þ‘€Ÿ‚ ƒ;„–†¡ˆ¢‰Q‹£¤Žd¥‘n’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ ¢ £ ¤ ¥ ¦ ¨¦©,«§­¨¯©±ª³«´-µ,¶ · ¸¹5ºM»`¼q½#¾‡¿’À Á[Â>ØŬǭÈTɥˮÌfίÏtÐ Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä æ°è±ê²ì³î´ðµò¶ô·õF÷¸øùú6û:ü=ý?þÿ2€7;‚>ƒ.„3…8†<‡/ˆ4‰9Š0‹5Œ1 Ž   ‘ ’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ £¹¥º¦-¨»ª¼¬½®¾°¿²À´Áµ¶·7¸N¹aºn»¼…½“¾–¿˜À3Á”×ÄKÅ‘Æ•Ç^È’ÉoÊ Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß™àžá}ãÂåÃçÄéÅêëžì íîï8ðOñbòoóôˆõ”ö¡÷¬ø8ù”ûÆýÇþOÿ¡€Çb‚¬ƒo„ … † ‡ ˆ ‰ Š ‹ Œ  Ž   ‘ ’ “ ” • – — ˜ šÈ›±œœŸÉ¡Ê£Ë¤¥ž¦ § ¨©9ªN«c¬r­®‰¯•°¢±­²<³—´Ç¶Ì·R¸¤ºÍ»e¼®½s¾ ¿ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò ÔÎÕ,×ÏÙÐÛÑÝÒßÓáÔãÕåÖæç è:éPêSë?ìíJîNïQðTñ/òKóOôRõGöL÷NøHùMúIû ü ý þ ÿ €  ‚ ƒ „ … † ‡ ˆ ‰ Š ‹ Œ  Ž  ‘×’Ï“¾”»•-—ؘ-šÙœÚžÛŸ !¡;¢Q£d¤n¥¦†§–¨£©¥ª4«‘¬¡­¤®L¯Ÿ°¢±_² ³p´ µ ¶ · ¸ ¹ º » ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É¦ËÜÍÝÎŒÏ Ð Ñ ÓÞÕßÖ × ØÙ<ÚRÛeÜsÝމߗà¤á®â9ã•äÇåÍæNç¢èÌécê­ërì í î ï ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ € ΂ у º… à† ,ˆ በ,‹ â ã ä ‘ "’ =“ S” • $– — ]˜ a™ dš f› 0œ ^ bž eŸ H  _¡ c¢ [£ `¤ \¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ µ ¶ · ¸ ¹ º ~» -¼ -½ ~¿ åÁ æ åÄ çÅ çÇ èÈ É #Ê >Ë TÌ fÍ tÎ Ï ‡Ð ˜Ñ ¥Ò ¯Ó 5Ô ’Õ ¬Ö ®× MØ  Ù ­Ú `Û [Ü qÝ Þ ß à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò °ó ,ô ,õ °÷ éù êú éü ëý ëÿ ì€  $‚ ?ƒ ?„ $… † ‡ nˆ n‰ nŠ t‹ 1Œ o oŽ s I p‘ r’ \“ q” m• – — ˜ ™ š › œ ž Ÿ   ¡ ¢ £ ¤ ¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ µ ¶ · ¸ ¹ º » ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ €  ‚ ƒ „ … † ‡ ˆ ‰ Š ‹ Œ !Ž  " #‘ $’ {“ ” Y• ƒ– |— €˜ ‚™ }š › ~œ ž Ÿ   ¡ ¢ £ ¤ ¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ .´ /µ 0¶ 1· ¸ 2¹ 3º 4» 5¼ 6½ 7¾ 8¿ 9À :Á ; <à =Ä >Å ?Æ ¹Ç ¼È ¿É ÁÊ ºË ½Ì ÀÍ -Î ¾Ï »Ð Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä å æ ç /è Gé Hê Ië ì Jí Kî Lï Mð :ñ Nò Oó Nô Põ Qö R÷ Sø Tù ?ú ×û -ü Ùý Ûþ Ïÿ Ø€ Ú ¾‚ -ƒ »„ … † ‡ ˆ ‰ Š ‹ Œ Ž ‘ ’ “ ” • – — ˜ ™ š › 0œ H [ž \Ÿ "  ]¡ ^¢ _£ `¤ =¥ a¦ b§ c¨ S© dª e« ¬ f­ $® ~¯ å° ç± è² -³ æ´ çµ -¶ å· ~¸ ¹ º » ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï 1Ð IÑ \Ò mÓ $Ô nÕ oÖ p× qØ ?Ù nÚ oÛ rÜ ?Ý nÞ sß $à tá â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ € ‚ ƒ „ … "† $‡ ˆ ‰ Š !‹ #Œ  Ž   ‘ ’ “ ” • – %— )˜ ,™ š &› *œ - 'ž +Ÿ (  ¡ ¢ £ ¤ ¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ µ ¶ · 2¸ J¹ ]º n» ¼ „½ …¾ †¿ ‡À 2Á … ˆà ‰Ä JÅ †Æ ‰Ç ]È ‡É nÊ ŠË Ì -Í Î ‹Ï ŽÐ ,Ñ -Ò Ó ŒÔ Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä å æ ç è é ê ë 3ì Kí ^î oï ð …ñ ò ‘ó ’ô 7õ “ö ”÷ •ø Nù –ú —û aü ˜ý nþ ™ÿ À ‚žƒÄ„ž…}†Å‡Âˆ ‰ Š ‹ Œ  Ž   ‘ ’ “ ” • – — ˜ ™ š › œ žŸ4 L¡_¢p£!¤†¥‘¦Ÿ§ ¨;©–ª¡«¢¬Q­£®¤¯d°¥±n²¦³ ´Þµ ¶Ü· ¸ß¹Ýº »Œ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ ÒÓ5ÔMÕ`Öq×#؇ْڠÛ[Ü>ݘެ߭àTá¥â®ãfä¯åtæ°çéèëéìê,ëêìëí,îéï°ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ €  ‚ ƒ „ …†‡6ˆ:‰=Š?‹Œ27Ž;>.‘3’8“<”/•4–9—0˜5™1š@›Dœ  žAŸE  ¡B¢F£C¤ ¥ ¦ § ¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ µ ¶ · ¸ ¹º»7¼N½a¾n¿À…Á“–ØÄ3ÅƔǗÈKÉ‘Ê•Ë^Ì’ÍoÎ™Ï ÐÑ ÒšÓ ÔžÕ›Ö ×œØ Ù Ú Û Ü Ý Þ ß à á â ã ä å æ ç è é ê ë ì íîï8ðOñbòoóôˆõ”ö¡÷¬ø8ù”úÆûÇüOý¡þÇÿb€¬o‚ȃɄ… †±‡Êˆž‰ŠË‹œŒ  Ž   ‘ ’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ ¢£9¤N¥c¦r§¨‰©•ª¢«­¬<­—®Ç¯Ì°R±¤²Í³e´®µs¶Î·,¸â¹äºÑ»á¼ã½º¾,¿àÀ Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô ÕÖ ×:ØPÙSÚ?ÛÜJÝNÞQßTà/áKâOãRäGåLæNçHèMéIêUëYì í îVïZð ñWò)óXô õ ö ÷ ø ù ú û ü ý þ ÿ €  ‚ ƒ „ … † ‡ ˆ ‰Š!‹;ŒQdŽn†‘–’£“¥”4•‘–¡—¤˜L™Ÿš¢›_œ pž¦Ÿ© -¡ ¢,£ª¤,¥§¦«§¨¨ © ª « ¬ ­ ® ¯ ° ± ² ³ ´ µ ¶ · ¸ ¹ º » ¼ ½ ¾¿<ÀRÁeÂsÃĉŗƤǮÈ9É•ÊÇËÍÌNÍ¢ÎÌÏcЭÑrÒÎÓÑÔÔÕÖÖ,×ÒØÕÙÏÚÓÛÐÜ Ý Þ ß à á â ã ä å æ ç è é ê ë ì í î ï ð ñò"ó=ôSõ ö$÷ø]ùaúdûfü0ý^þbÿe€H_‚cƒ[„`…\†g‡kˆ,‰ Šh‹lŒ-iŽDj ‘ ’ “ ” • – — ˜ ™ š › œ  ž Ÿ   ¡ ¢ £ ¤ ¥ ¦#§>¨T©fªt«¬‡­˜®¥¯¯°5±’²¬³®´Mµ ¶­·`¸[¹qº°»´¼·½¸¾±¿µÀFÁ²Â¶Ã³Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö × Ø ÙÚ$Û?Ü?Ý$Þ ßànánânãtä1åoæoçsèIépêrë\ìqímîuïyðyñuòvózôvõwöw÷xø ù%ú@ûUügýuþ{ÿŠ€™¦‚°ƒ¹„™…Ȇ·׈¦‰ÎŠ~‹°Œ  Ž{¹×‘~’ “%”Š•™–¦—°˜@™™šÈ›ÎœU¦žÎŸg °¡u¢ £&¤A¥V¦h§v¨|©‹ªš«,¬±­º®ž¯±°,±Ï²Ü³Ñ´-µ,¶ · ¸¹¼º-»å¼ ½)¾¿ÃÀ ÁéÂDà ÄÉÅ,ÆYÇ©ÈÑÉkÊ´ËyÌÍ'ÎBÏWÐiÑwÒ}Ó-Ô›Õ§Ö²×-Ø}ÙÚÏÛ¾ÜÝݺÞ-ß,à áâYã¿äÙåçæ ç,è-éêÞëëì íîïâð ñ-òÔó,ô·õyö÷(øCùXújûxü~ýŒþœÿ¨€³»‚ƒœ„Ð…»†Œ‡àˆ~‰°Š ‹ŒƒÁŽÛè ‘ ’ “ ” •ì– — ˜ ™äš › œÖ ž¸Ÿu  ¡)¢D£Y¤k¥y¦§¨ ©©ª´«¼¬Ã­É®Ñ¯-° ±,²å³é´ µ ¶|·º¸Ï¹-º »&¼‹½ž¾Ü¿,ÀAÁšÂ±ÃÑÄVÅ,Æ,ÇhȱÉvÊË*ÌEÍZÎlÏzÐ€ÑŽÒ ÓªÔµÕ½ÖÄ×ÊØÒÙØÚ ÛáÜæÝêÞ ßà€á½âØãæä å*æŽçÄè éêêEë ìÊíáîZïªðÒñlòµózôõ+öF÷)øDùwúûü ý«þ¶ÿ¾€ÅË‚Óƒ-„ …,†å‡éˆ ‰Š‚‹ÀŒÚçŽ -,‘ž’ß“ë” •ž–ž—㘠™,šÕ›-œFvžŸ,  ¡ ¢,£y¤Y¥-¦§-¨·©¿ª«¬Ô­Ù®Þ¯â°ç±ë² ³´}µ-¶¾·-¸ ¹'º-»}¼Ý½,¾B¿›ÀÁºÂWçÄÏÅiƲÇwÈÉ-Ê Ë Ì-Ív΂Ï,ОÑ,ÒFÓÀÔžÕžÖÕ×ÚØßÙãÚçÛëÜ ÝÞß¾à-áåâ ã+äåÅæ çéèFé êËë,ì)í«îÓïDð¶ñwòó ô õ ö ÷uøƒù ú û ü¸ýÁþ ÿ €ÖÛ‚ ƒä„è…ì† ‡ˆ~‰»Š»‹~Œ (ŽŒÂŒ‘°’C“œ”œ•à–X—¨˜Ð™jš³›xí               # 9 ; = ? B D J L N P R T V X Z \ ^ ` b d f h k m o † ˆ Š Œ Ž  ’ ” – ›  Ÿ ¡ ¤ ¦ ¨ ª ¬ ® ° ² ´ ¶ ¸ º ¼ ¾ Õ × Ù Û Ý ß á é ë í ð ò ô ö ù û þ € ‚ „ † ž   ¢ ¤ ¦ ¨ ² ´ · ¹ » ½ À Â Ä Ç É Ì ä æ è ê ì î ù ü þ € ‚ ‡ ‹ Ž ¦ ¨ ª ¬ ® ° à â ä æ è ê ì ï ñ ú ü þ € „ † £ ¥ ¨ ª ¬ ® » ½ ¿ Â Ä Æ É Ë Î æ è ê ì ñ ó ÿ  … ‡ Š Œ  § ª ¬ ® ° ² Ä Æ Ê Í å ç é ë í ï ñ ó ö ¢ ¤ § © « ­ ¯ ± ³ â ä æ è ú ü ™ ž   ¢ µ ¹ Ó Ö Ø Ú Ü Þ à â ä  – ™ ›  Ê Ì Ò Ô „  ‡  Š  Œ  Ž  ¾  À  à  Æ  ö  ø  û  þ syfi-1.0.0.dfsg.orig/tests/cpp/integral_ex1.cpp0000644000175000017500000000077611672223006021246 0ustar johannrjohannr#include #include using namespace std; using namespace GiNaC; using namespace SyFi; void check_integral(ex& f){ } int main() { initSyFi(1); ReferenceLine line; Lagrange fe; fe.set_polygon(line); fe.set_order(3); fe.compute_basis_functions(); ex integrand = fe.N(0)*fe.N(1); cout <B?C B b  B b KkKkƒ b b KkKkƒ KkKkKkƒ b b «»  KkKkƒ b KkKkƒ KkKkƒ b b KkKk K kK k Kk Kkƒ b KkKkƒ b «»  KkKkƒ b Kk KkKkKkKkƒ ÛÛ KkK kK kKk Kkƒ Kk Kk KkKkKkKk ƒ ÛÛ b# b$ «»  b% b& b' KkKkKkK k!K k"KkKk Kk#ƒ b( Kk#Kk%KkKkKk Kkƒ Û$Û& b+ b, Kk#KkKkKkK kK k(Kk(Kk)ƒ b- KkKk+KkKk!KkKk"ƒ Û*Û, b0 KkKk.K kK kKkKk!ƒ b1 b2 Kk Kk0KkK kK kK kKk#Kk1ƒ Û/Û2 b5 Kk(Kk4K kK k1Kk#Kk!ƒ b6 KkKk0Kk6K k!K kKkKkKk ƒ Û5Û7 Kk!Kk(K k!Kk!Kk!ƒ KkKkKkKkKkƒ Û9Û: Kk"K k1Kk1Kk1ƒ b; Kk1Kk=Kk1Kk"Kk"ƒ Û<Û> Kk"Kk=K k"Kk1Kk1ƒ Kk1Kk1Kk"Kk1ƒ Û@ÛAsyfi-1.0.0.dfsg.orig/tests/cpp/raviartthomas_ex2.cpp0000644000175000017500000000122111672223006022310 0ustar johannrjohannr#include using namespace GiNaC; using namespace SyFi; using namespace std; int main () { initSyFi(2); int order = 3; ReferenceTriangle triangle("t"); RaviartThomas vfe; vfe.set_polygon(triangle); vfe.set_order(order); vfe.compute_basis_functions(); DiscontinuousLagrange pfe; pfe.set_polygon(triangle); pfe.set_order(order); pfe.compute_basis_functions(); for (unsigned int i=0; i< vfe.nbf(); i++) cout <<"vfe.N("< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); ex p0 = lst(0.0,0.0,0.0); ex p1 = lst(1.0,0.0,0.0); ex p2 = lst(0.0,1.0,0.0); cout <<"\n\nThe reference triangle in 3D"<(@)B*C(E+F!GH%I)J(K*L&M(N'O+P"Q&R)T,V-X.Z/\0^1`2a#b'c(d-f3h4i1j4l5n6o$p(q*r.s4t3u0v%w4y7z"{)|&}/~10€,.‚-ƒ2„$…*†(‡0ˆ4‰%Š.‹3Œ47Ž#('‘1’5“4”-•4–3—6˜ ™+š+›2œ67ž2Ÿ7 6¢8§F®M¯N°O¶U»ZÁ`ÂaÃbÄcÅdÆeÇfÈgÉhÊiÎmÒqÓrÔsÖtØuÙuÛvÝwßxáyãzäwåyæxçzé{ë|ì|î}ïuñ~óõ€÷ù‚ûƒý„ÿ…†ƒ‡…ˆ‡‰‰Š‹‹ŒŽu~‘€’…“‡”†•ˆ–—ƒ˜‚™„š‰›‹œŠŒžvŸ€ €¢¤Ž¦¨ª‘«Ž¬­®‘°’²“³“µ”¶w·¸…¹Ž»•½–¿—À—˜ęƚțʜÌΞϞÐxÑ‚Ò‡ÓԖ֟ؠ٠ښܡޢà£â¤ä¥æ¦ç¦èyéƒê†ëì—í ï§ñ¨ò™ô©õ¡÷ªù«û¬ý­ÿ®€z„‚ˆƒ‘„—… †¨‡§ˆ›‰ªŠ£Œ¯«Ž¬®­‘w’…“”Ž•˜–š—™˜›™•š—›–œ—œžžŸ ž¡y¢†£ƒ¤¥™¦¡§©¨ª©—ª§« ¬¨­«®­¯¬°®±x²‡³‚´µš¶¢·¡¸£¹–º »Ÿ¼ ½¤¾¦¿¥À¦ÁzˆÄđśƣǪȯɗʨˠ̧ͫήϬЭÑ{҉ӉԒ՜֤׫ثٜګۤܫްà±á±â±ã|äŠå‹æ“çè¥é¬ê¬ëžì­í¦î®ï±ñ²ó³ô³õ|ö‹÷Šø“ùžú¦û­ü®ýþ¬ÿ¥€¬±‚³ƒ²„³…}†Œ‡Œˆ”‰žŠ¦‹®Œ­žŽ®¦­‘±’³“³”²´ * J *  J  3S3Sk J 3S3Sk J J ‹› ‹› J 3S3Sk ‹› ‹› 3S3S3 S3 S 3 S3 S 3Sk J J 3S3S 3 S3 S3S3Sk 3S3S3S 3 S3 S3 Sk J J 3S3S3 S3 S3Sk J 3S3S3 S3 S3Sk 3S3S3 Sk 3S3S3 S3 S3 Sk 3S3S3 Sk 3S3S3 S3 S3 Sk J# J$ 3S3S3 Sk J& J( J+ J- J/ J6 J9 J; J= J? JA JD JS JU JW JY J[ J] J_ Je Jg Jk Jm Jx J¡ *£ 39S3Sk J¤ 3S39Sk J¥ 3S39S3Sk J¦ ‹9› 39S3Sk ‹9› 39S3Sk 3S39Sk 3S39Sk" 3:S;3S?3@S3 S 3AS=3BS 3CS;3DS;3 S;3 S 3S3ES=k J¨ J© Jª J« J¬ J­ 3:SG3SJ3ASI3CSK3DSH3 SK3 S3S3S3ESLk 3:SH3SJ3 S3ASL3CSH3DSK3 SG3ESIk 3:SK3SJ3@S3ASI3BS3CSG3DSG39S3 SH3ESIk J± J² J³ J´ Jµ 3:SP3SS3ASR3CSP3DSQ3 SP3 S3S3ESTk J· J¸ J¹ Jº 3:SV3SK3ASX3CSV3DSW3 SV3 S3S3ESYk J¼ J½ J¾ J¿ JÀ 3:SH3S]3ASL3CSH3DS[3 S^3ES_k 3:SK3S]3AS\3CS^3DS[3 SH3ES_k 3:SQ3SS3 S3AST3CSQ3DSP3 SP3ESRk 3:S[3S]3AS_3CS[3DSH3 SK3ESLk 3:SW3SK3 S3ASY3CSW3DSV3 SV3ESXk 3:S[3S]3AS_3CS[3DS^3 SH3ES\k 3:SP3SS3@S3ASR3BS3CSP3DSP3 SQ3ESRk 3:S^3S]3AS\3CSK3DSH3 S[3ESLk 3:SH3S]3ASL3CSH3DSK3 S[3ES\k 3:SV3SK3@S3ASX3BS3CSV3DSV3 SW3ESXk JË JÌ JÍ 3:Sj3Sl3ASk3CSj3DSj3 Sj3ESkk JÏ JÐ JÑ 3:Sj3So3ASk3CSj3DSn3 Sj3ESpk 3:Sn3So3ASp3CSn3DSj3 Sj3ESkk 3:Sj3So3ASk3CSj3DSj3 Sn3ESkk JÕ J× JÚ JÜ JÞ Jà Jâ Jè Jê Jí Jð Jò Jô Jö Jø Jú Jü Jþ J€ J‚ J„ J† Jˆ JŠ JŒ J¡ J£ J¥ J§ J© J¯ J± J´ Jº J¼ J¾ JÁ Jà JÅ JÇ JÉ JË JÍ JÕ J× JÛ JÝ Jß Já Jã Jå Jî Jð Jó Jö Jø Jú Jü Jþ J‹ JÝ Jß Jð Jòsyfi-1.0.0.dfsg.orig/tests/cpp/arnoldfalkwinther.cpp0000644000175000017500000000463711672223006022402 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { archive ar; initSyFi(3); ReferenceTetrahedron tetrahedron; int order = 2; ArnoldFalkWintherWeakSymSigma sigma_fe; sigma_fe.set_order(order); sigma_fe.set_polygon(tetrahedron); sigma_fe.compute_basis_functions(); for (unsigned int i=0; i,ex> A; pair index; for (unsigned int i=0; i,ex> B; for (unsigned int i=0; i #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle triange; Robust fe(triange); fe.compute_basis_functions(); for (unsigned int i=0; i< fe.nbf(); i++) { cout <<"fe.N("< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); Dof dof(true, true); Triangle t1(lst(0,0), lst(1,0), lst(0,1)); Triangle t2(lst(1,1), lst(1,0), lst(0,1)); // Create a finite element and corresponding // degrees of freedom on the first triangle int order = 2; Lagrange fe; fe.set_order(order); fe.set_polygon(t1); fe.compute_basis_functions(); for (unsigned int i=0; i< fe.nbf() ; i++) { cout <<"fe.dof("< using namespace SyFi; using namespace std; void print_out(FE& fe) { for (unsigned int i=0; i< fe.nbf(); i++) { cout <<"fe.N("< using namespace GiNaC; using namespace SyFi; using namespace std; void check_RaviartThomas() { initSyFi(2); ReferenceTriangle triangle("t"); RaviartThomas fe; fe.set_polygon(triangle); cout <<"2D --------------------- 1 order "< #include #include "SyFi.h" #include "ginac_tools.h" using namespace std; using namespace GiNaC; using namespace SyFi; // ................. // pick an expression to test ex pickExpression(int i) { ex x = get_symbol("x"); ex y = get_symbol("y"); ex z = get_symbol("z"); ex e; switch(i) { case 0: e = 1; break; case 1: e = x; break; case 2: e = x+y; break; case 3: e = x+y+z; break; case 4: e = x*y; break; case 5: e = x*y*z; break; case 6: e = x*x*y*y*z*z; break; case 7: e = x*x*x*y*y*y*z*z*z; break; case 8: e = power(x,3)*power(y,2) + power(x,2) + x*y*y; break; case 9: e = power(x,3)*power(y,2) + power(x,2) + x*y*y; e = power(e, e) + e; break; // add more tests with a new case here, and update the iteration limit in main default: e = 0; } return e; } int main(int argc, char **argv) { bool verbose = false; // turn this off for the unit tests if(argc>1 && argv[1][0] == 'v') verbose = true; int from = 0; int to = 10; for(int i=from; i #include using namespace std; #include using namespace GiNaC; using namespace SyFi; int main() { initSyFi(3); assert( symbol_exists("x") ); assert( symbol_exists("y") ); assert( symbol_exists("z") ); ex x1 = get_symbol("x"); ex x2 = get_symbol("x"); ex x3 = get_symbol("x"); assert( is_zero(x2-x1) ); assert( is_zero(x3-x1) ); assert( is_zero( SyFi::x - get_symbol("x") ) ); assert( is_zero( SyFi::y - get_symbol("y") ) ); assert( is_zero( SyFi::z - get_symbol("z") ) ); assert( !symbol_exists("foo") ); cout << get_symbolic_vector(1, "v") << endl; cout << get_symbolic_vector(3, "u") << endl; cout << get_symbolic_vector(11, "w") << endl; cout << get_symbolic_matrix(2, 3, "B") << endl; cout << get_symbolic_matrix(3, 3, "A") << endl; return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/fe_ex4.cpp0000644000175000017500000000346611672223006020035 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main(){ initSyFi(2); //matrix in terms of rational numbers int order = 1; Triangle triangle(lst(0,0), lst(1,0), lst(0,1)); Lagrange fe; fe.set_order(order); fe.set_polygon(triangle); fe.compute_basis_functions(); Dof dof; std::map, ex> A; compute_Poisson_element_matrix(fe, dof, A); print(A); //matrix in terms of symbols symbol x0("x0", "x_0"), x1("x1", "x_1"), x2("x2", "x_2"); symbol y0("y0", "y_0"), y1("y1", "y_1"), y2("y2", "y_2"); Triangle triangle2(lst(x0,y0), lst(x1,y1), lst(x2,y2)); Lagrange fe2; fe2.set_order(order); fe2.set_polygon(triangle2); fe2.compute_basis_functions(); Dof dof2; std::map, ex> A2; compute_Poisson_element_matrix(fe2, dof2, A2); cout <<"standard format on output"<,ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A", (*iter).first.first, (*iter).first.second).c_str()); } for (iter = A2.begin(); iter != A2.end() ; iter++) { ar.archive_ex((*iter).second, istr("A2_", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("fe_ex4.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("fe_ex4.gar.v", "fe_ex4.gar.r")) { cerr << "Failure!" << endl; return -1; } */ return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/tetrahedron_ex1.gar.r0000644000175000017500000000044211672223006022175 0ustar johannrjohannrGARClstclassrelationalsymbolxnamelhrrhopseqysztnumeric0number1addrest-1coeffoverall_coeffrepr1/720intf * * 3CI *  *  3CI *  * 3CI Š Š SS S  Š £³ »  SS S  £³ £³ »  SS S SSSS SS Šsyfi-1.0.0.dfsg.orig/tests/cpp/tetrahedron_ex2.cpp0000644000175000017500000000153611672223006021754 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); archive ar; symbol x0("x0"), x1("x1"), y0("y0"), y1("y1"), z0("z0"), z1("z1"); ex p0 = lst(x0,y0,z0); ex p1 = lst(x1,y0,z0); ex p2 = lst(x0,y1,z0); ex p3 = lst(x0,y0,z1); Tetrahedron tetrahedron(p0,p1,p2,p3); ex repr = tetrahedron.repr(); cout <<"t.repr "< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(1); // initialization (f = x^2 + y^2) ex f = x*x + y*y; cout <<"f "<? : Z  Cc Z Z k{‹ Z : : Cc k {‹ k{k{k {‹ Z : k{k {‹ : k {k{k{‹ Z : k {k{‹ : k{k{‹ : k{k{k{‹ : k{k{‹ : : k{k{k{‹ Z k { k{k{k{k{k{k{k{k{‹ ƒƒƒƒ ƒƒƒƒƒ Z! Z" k{ ‹! k{k{‹ k{k{‹ k { ‹! k {k{‹ k{k {‹ ƒƒƒ"ƒƒ#ƒ$ƒ%ƒ&ƒ' ƒƒƒ( k{k{k{‹ k{k{‹ k{k{‹ k{k{k{‹ k{k{‹ k*{ k+{k,{k {k-{k.{‹ Z& k{‹0 Z( k{‹2 Z* k{‹4 k {‹2 Z- k{‹7 Z/ k{‹9 k{‹4 k{‹9 Z3 k{‹=syfi-1.0.0.dfsg.orig/tests/cpp/barycenter_simplex.cpp0000644000175000017500000000130011672223006022543 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { /* initSyFi(3); ex p0 = lst(0.0,0.0,0.0); ex p1 = lst(1.0,0.0,0.0); ex p2 = lst(0.0,1.0,0.0); ex p3 = lst(0.0,0.0,1.0); Simplex simplex(lst(p0,p1,p2,p3)); ex coord = barycenter(simplex); cout <<"coord "< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { ex pi = 3.14; cout <<"pi="< #include using namespace GiNaC; using namespace SyFi; using namespace std; int check_CrouzeixRaviart() { initSyFi(2); cout <<"2D ----------------------------"<, ex> A; compute_Poisson_element_matrix(fe, dof, A); print(A); initSyFi(3); cout <<"3D ----------------------------"<, ex> A2; compute_Poisson_element_matrix(fe2, dof2, A2); print(A); // regression test archive ar; for (unsigned int i=0; i, ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A", (*iter).first.first, (*iter).first.second).c_str()); } for (unsigned int i=0; i using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); // example that check scaling numeric h(1,100); // 1.0/100 numeric a(1,2); // 1.0/2 ex p0 = lst(a,a,a); ex p1 = lst(a+h,a,a); ex p2 = lst(a,a+h,a); Triangle triangle(p0,p1,p2); ex f = 1; ex intf = triangle.integrate(f); cout <<"intf "< #include using namespace GiNaC; using namespace std; using namespace SyFi; void compute_Poisson_element_matrix( FE& fe, Dof& dof, std::map, GiNaC::ex>& A) { std::pair index; // Insert the local degrees of freedom into the global Dof for (unsigned int i=0; i< fe.nbf(); i++) { dof.insert_dof(1,i,fe.dof(i)); } Polygon& domain = fe.get_polygon(); // The term (grad u, grad v) for (unsigned int i=0; i< fe.nbf(); i++) { index.first = dof.glob_dof(fe.dof(i)); // fetch the global dof for Ni for (unsigned int j=0; j< fe.nbf(); j++) { index.second = dof.glob_dof(fe.dof(j)); // fetch the global dof for Nj GiNaC::ex nabla = inner(grad(fe.N(i)),grad(fe.N(j))); GiNaC::ex Aij = domain.integrate(nabla); // compute the integral A[index] += Aij; // add to global matrix } } } void code_gen2D(FE& fe){ cout <, ex> A; ::compute_Poisson_element_matrix(fe, dof, A); cout <<"C code format on output "< index; for (unsigned int i=0; i #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); archive ar; int order = 2; ex polynom_space = legendre(order,nsd, "a"); cout <<"polynom_space "<?@ABCEFHJLNPRTUW Y!Z![ \^"`#b$c"e%g&h#i&j$klmo'q(s)u*w+y,z{ |}~€‚ƒ„…†‡ˆ‰Š‹Œ'Ž-.’/”0–1˜2š3œ4ž5 6¢7¤8¦9¨:ª;¬<­:¯=±>²;³>´<µ ¶·(¸.º?¼@½1¿AÁBÃCÅDÇEÈ5ÉÊ9ÌFÎGÐHÑ5ÓIÔ3ÕHÖI×GØFÙ ÚÛ)Ü/Ý@ßJà2áBãKåLçMè!êNìOîPï<ð>ñ>ò<ó;ô=õ;ö:÷:ø9ù úû*ü0ý1þ2ÿ-€./ƒQ„%†RˆS‰Š‹ŒŽ‘’“”• –—+˜1™AšB›.œ?@ŸT¡U¢£¤¦V§$¨&©&ª$«#¬%­#®"¯"°±²³,´2µB¶K·/¸@¹J»W½X¿YÁZÃ[Å\ÆÇÈÉÊËÌÍÎÏÐ ÑÒÓ3ÔCÕLÖQ×TØWÚ]Û ÜÞ^à_â`äaæbècêdìeîfðgòhó>õiö÷ø ù4úDûMü%ýUþXÿ €]`‚_ƒ^„…a†e‡hˆi‰bŠf‹>ŒcgŽd ‘’5“E”!•R–—Y˜™`›jkŸl¡m£n¥o§p©q«r­s¯t°²u´vµ¶!·¸6¹5ºN»S¼½Z¾^¿_ÀkÂwÄxÅlÇyÉzË{ÌÎ|ÏÑ}Ó~Õ×€ØÙ!ÚÛ7ÜÝOÞßà[á_â^ãläxåwækçyè|é~ê€ëzìíî{ï}ðñò óô8õ9öP÷øVù\ú`ûümýlþkÿj€nr‚ƒv„o…s†u‡pˆt‰qŠ‹Œ9ŽF<‘$’“a”a•n–y—y˜n™š"›œ:Gž>Ÿ &¡¢b£e¤o¥z¦|§r¨©#ª«;¬H­>®¯&°±c²h³p´{µ~¶·¸$¹º<»5¼<½¾$¿ÀdÁiÂqÃÄ€ÅvÆÇ"ÈÉ:ÊIË;ÌÍ#ÎÏeÐbÑrÒ|ÓzÔoÕÖ%×Ø=Ù3Ú=ÛÜ%ÝÞfßfàsáâãsäå&æç>èHé;êë#ìígî>ïtð}ñòuóô#õö;÷Iø:ùú"ûühýcþÿ~€{p‚ƒ&„…>†G‡:ˆ‰"Š‹>ŒguŽ}t‘’$“”<•F–9—˜™ši›dœv€žŸq            ! # % ( * - / 1 3 5 7 9 ; = D G I K M O Q S V X ] _ a d f n p r t v x   ‘ “ • — ™ ›  Ÿ ¡ £ ¥ § © « ® ° ¹ » ¾ À Â Ä Æ Ë Í Ï Ò Þ â ä æ é ë í ‚ … ‡ ž   ¥ º ¼ ¾ À Â Ä Ù Ý ß á ã å ç é ë í ï ñ ô š œ ž   ¢ ¤ ¦ ¨ ª ¬ ® ± ³ Á Ã Æ È Ê Í Ð Ò Ô Ösyfi-1.0.0.dfsg.orig/tests/cpp/AGENDA0000644000175000017500000000210411672223006017005 0ustar johannrjohannr fix all the regression tests. arnoldfalkwinther.cpp (ok) box_ex1.cpp (ok) code_gen.cpp (ok) compare_archives.cpp crouzeixraviart_ex2.cpp (ok) crouzeixraviart_ex.cpp (ok) disconlagrange_ex.cpp dof_ex2.cpp dof_ex3.cpp dof_ex.cpp ex_inspection.cpp fe_ex1.cpp (ok) fe_ex2.cpp (ok) fe_ex3.cpp (ok) fe_ex4.cpp (ok) hermite_ex1.cpp (ok) integral_ex1.cpp (ok) legendre.cpp (ok) line_ex1.cpp (ok) line_ex2.cpp (ok) line_ex3.cpp (ok) mxpoisson_ex.cpp nedelec_ex1.cpp nedelec_ex2.cpp nljacobian_ex.cpp (ok) pnpn2_ex.cpp (ok) pol.cpp (ok) polh.cpp (ok) raviartthomas_ex1.cpp raviartthomas_ex2.cpp rectangle_ex1.cpp (ok) robust.cpp (ok) simple2.cpp (ok) simple.cpp (ok) simplify.cpp symbol_factory.cpp taylorhood_ex.cpp (ok) tetrahedron_ex1.cpp (ok) tetrahedron_ex2.cpp (ok) tetrahedron_ex3.cpp (ok) triangle_ex1.cpp (ok) triangle_ex2.cpp (ok) triangle_ex3.cpp (ok) syfi-1.0.0.dfsg.orig/tests/cpp/fe_ex2.cpp0000644000175000017500000000243511672223006020026 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); Triangle T(lst(0,0), lst(1,0), lst(0,1), "t"); int order = 2; std::map, ex> A; std::pair index; Lagrange fe; fe.set_order(order); fe.set_polygon(T); fe.compute_basis_functions(); for (unsigned int i=0; i< fe.nbf() ; i++) { index.first = i; for (unsigned int j=0; j< fe.nbf() ; j++) { index.second = j; ex nabla = inner(grad(fe.N(i)), grad(fe.N(j))); ex Aij = T.integrate(nabla); A[index] = Aij; } } map,ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { cout <<"A["<<(*iter).first.first<<","<<(*iter).first.second<<"]="<<(*iter).second< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); //example that check scaling numeric h(1,100); //1.0/100 numeric a(1,2); ex p0 = lst(a,a,a); ex p1 = lst(a+h,a,a); ex p2 = lst(a,a+h,a); ex p3 = lst(a,a,a+h); Tetrahedron tetrahedron(p0,p1,p2,p3); ex f = 1; ex intf = tetrahedron.integrate(f); cout <<"intf "<k#K?k(K@k#KAkBKCk#KDk6›syfi-1.0.0.dfsg.orig/tests/cpp/run_all.py0000644000175000017500000000052711672223006020160 0ustar johannrjohannr#!/usr/bin/env python import glob import os import sys print "Running all tests." files = glob.glob("*.cpp") for file in files: basename = file[:-4] cmd = "./%s > %s" % (basename, basename + ".out") print cmd res = os.system(cmd) if not res == 0: print "Failure (%d) in '%s'" % (res, file) #sys.exit(res) syfi-1.0.0.dfsg.orig/tests/cpp/hermite_ex1.cpp0000644000175000017500000000331411672223006021065 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main(){ initSyFi(2); //--- 2D Hermite element Triangle triangle(lst(0,0), lst(1,0), lst(0,1)); Hermite fe; fe.set_polygon(triangle); fe.compute_basis_functions(); usage(fe); Dof dof; std::map, ex> A; compute_Poisson_element_matrix(fe, dof, A); print(A); //--- 3D Hermite element initSyFi(3); Tetrahedron tetrahedron(lst(0,0,0), lst(1,0,0), lst(0,1,0), lst(0,0,1)); Hermite fe2; fe2.set_polygon(tetrahedron); fe2.compute_basis_functions(); usage(fe2); Dof dof2; std::map, ex> A2; compute_Poisson_element_matrix(fe2, dof2, A2); print(A2); // regression test // archive ar; for (unsigned int i=0; i, ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A", (*iter).first.first, (*iter).first.second).c_str()); } for (unsigned int i=0; i?@ABCDEGHIJKLMNOPQRSTUW XYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§¨©ª«¬­®¯° ±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ× ØÙÚÛÜÝ Þßàáâãä         $ * F Vsyfi-1.0.0.dfsg.orig/tests/cpp/taylorhood_ex.cpp0000644000175000017500000000210111672223006021524 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle domain; VectorLagrange v_fe; v_fe.set_order(2); v_fe.set_size(2); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); Lagrange p_fe; p_fe.set_order(1); p_fe.set_polygon(domain); p_fe.compute_basis_functions(); usage(v_fe, p_fe); Dof dof; std::map, ex> A; compute_Stokes_element_matrix(v_fe, p_fe, dof, A); print(A); // regression test archive ar; map,ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A_", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("taylorhood_ex.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("taylorhood_ex.gar.v", "taylorhood_ex.gar.r")) { cerr << "Failure!" << endl; return -1; } return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/fe_ex1.cpp0000644000175000017500000000221311672223006020017 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; void example_of_use(FE& fe) { ex Ni; ex gradNi; ex dofi; for (unsigned int i=0; i< fe.nbf() ; i++) { Ni = fe.N(i); gradNi = grad(Ni); dofi = fe.dof(i); cout <<"The basis function, N("< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); ex p0 = lst(0.0,0.0,0.0); ex p1 = lst(1.0,1.0,1.0); Line line(p0,p1); // show usage of repr symbol t("t"); ex l_repr = line.repr(t); cout <<"l.repr "< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); Triangle t(lst(0,0), lst(1,0), lst(0,1)); int order = 2; ex polynom; lst variables; lst basis_functions; ex polynom_space = pol(order, 2, "a"); // the polynomial spaces on the form: // first item: a0 + a1*x + a2*y + a3*x^2 + a4*x*y ... the polynom // second item: a0, a1, a2, ... the coefficents // third item 1, x, y, x^2 the basis // Could also do: // GiNaC::ex polynom_space = bernstein(order, t, "a"); polynom = polynom_space.op(0); variables = ex_to(polynom_space.op(1)); // the variables a0,a1,a2 .. ex Nj; // The bezier ordinates (in which the basis function should be either 0 or 1) lst points = bezier_ordinates(t,order); // Loop over all basis functions Nj and all points. // Each basis function Nj is determined by a set of linear equations: // Nj(xi) = dirac(i,j) // This system of equations is then solved by lsolve for (unsigned int j=1; j <= points.nops(); j++) { lst equations; for (unsigned int i=1; i<= points.nops() ; i++ ) { // The point xi ex point = points.op(i-1); // The equation Nj(x) = dirac(i,j) ex eq = polynom == dirac(i,j); // Substitute x = xi and y = yi and appended the equation // to the list of equations equations.append(eq.subs(lst(x == point.op(0) , y == point.op(1)))); } // We solve the linear system // cout <<"equations "< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); archive ar; ex p0 = lst(0.0,0.0,0.0); ex p1 = lst(1.0,0.0,0.0); ex p2 = lst(0.0,1.0,0.0); ex p3 = lst(0.0,0.0,1.0); Tetrahedron tetrahedron(p0,p1,p2,p3); ex repr = tetrahedron.repr(); cout <<"t.repr "<? @ A B C DE FGHIJ KL M B b  B b KkKkƒ b b KkKkƒ KkKkƒ KkKkƒ b KkKkK kƒ  £ £  b Kk ƒ ££  Kk ƒ ££  £ £  £ £ £ £ Kkƒ b# Kkƒsyfi-1.0.0.dfsg.orig/tests/cpp/dof_ex3.cpp0000644000175000017500000000224011672223006020177 0ustar johannrjohannr#include #include //double Ptv::tolerance = 0.0001; using namespace SyFi; using namespace std; int main() { Dof_Ptv dof(true,true); // initialization of Ptv used as dof double x[2]; x[0] = 0.0; x[1] = 0.0; Ptv p(2,x); // first triangle p[0] = 0.0; p[1] = 0.0; dof.insert_dof(0,1,p); p[0] = 1.0; p[1] = 0.0; dof.insert_dof(0,2,p); p[0] = 0.0; p[1] = 1.0; dof.insert_dof(0,3,p); // second triangle p[0] = 1.0; p[1] = 1.0; dof.insert_dof(1,1,p); p[0] = 1.0; p[1] = 0.0; dof.insert_dof(1,2,p); p[0] = 0.0; p[1] = 1.0; dof.insert_dof(1,3,p); // print out the global dofs // and their corresponding local dofs vector_ii vec; pair index; Ptv exdof; for (int i=0; i< dof.size(); i++) { exdof = dof.glob_dof(i); cout <<"global dof " < ? /Š@šA /ŠBšC D /ŠEšF /ŠGšH I /ŠJšK L /ŠMšN /ŠOšP Q /ŠRšS T .£³£ ³ £ ³ £ ³£³ £³£³ £³£³£³ £³£³« W X Y Z [ \ ] ^ .£³£ ³£ ³£ ³£³ £³!£³"£³#£³£³"£³"£³$« ` a b .£ ³&£ ³'£³£³£³(£³« d e .£³£ ³"£ ³*£ ³£³+£³£³*£³£³#£³"£³#« g h i .£³ £ ³(£ ³£ ³(£³-£³.£³(£³"£³£³(£³/£³"« .£³£ ³(£ ³&£³£³'£³&£³"£³ £³£³(£³« .£ ³'£³+£³£³.£³!« .£ ³(£³*£³ £³£³« .£ ³&£³£³ £³(£³"« .£ ³£³#£³ £³(£³"« .£ ³£³£³£³ £³« .£ ³£³ £³-£³ « r s t u .£³(£ ³8£ ³9£³8£³ £³£³:£³/£³;£³£³;« w x y .£³=£ ³>£ ³#£³£³£³ £³:£³;£³?£³*« .£ ³£ ³+£³£³*£³#« | } .£ ³"£ ³B£ ³£³£³*£³(£³C£³:£³*£³:«  €  .£³E£ ³(£ ³F£ ³*£³ £³£³£³£³G£³B£³*« .£³"£ ³/£ ³£³£³(£³(£³"£³8£³"£³(« .£ ³/£³B£³9£³F£³>« .£ ³(£³(£³£³£³ « .£ ³"£³*£³;£³G£³?« .£ ³"£³(£³E£³=« .£ ³£³£³8£³ £³« Š ‹ .£³"£ ³O£ ³£ ³ £³O£³ £³P£³"£³P£³8£³8£³«  .£³ £ ³8£ ³ £ ³ £³"£³"£³R£³(£³£³"£³;£³9«   .£ ³£ ³T£³£³ £³U£³ « .£³"£ ³"£ ³(£ ³£³8£³£³+£³"£³(£³(« “ .£³£ ³(£ ³£ ³U£³(£³(£³X£³(£³8£³(£³:£³;« .£³£ ³(£ ³£³£³&£³'£³"£³O£³£³(£³8« .£ ³'£³P£³X£³R« .£ ³£³8£³(£³"« .£ ³£³"£³"£³£³ « .£ ³£³8£³O£³(£³"« .£³(£ ³£ ³;£ ³-£³£³ £³8£³?£³/£³9£³ £³(« .£³?£ ³(£ ³?£ ³(£³"£³"£³"£³G£³(£³?£³G£³G« .£ ³(£ ³.£³ £³-£³£³(« Ÿ .£³:£ ³ £ ³*£ ³ £³;£³#£³b£³?£³E£³G« .£³G£ ³£ ³G£ ³£³(£³(£³(£³E£³ £³G£³F£³G« .£³#£ ³"£ ³(£³£³£³£³ £³£³$£³£³(« .£ ³$£³9£³G£³?« .£ ³#£³:£³(£³G£³?« .£ ³£³;£³£³(£³"« .£³+£ ³"£ ³(£ ³ £³"£³£³"£³£³!£³(£³£³"« .£³>£ ³"£ ³=£ ³"£³£³£³ £³?£³"£³?£³?£³?« .£ ³£ ³+£³£³ £³G£³"« .£³C£ ³ £ ³£³:£³£³"£³>£³£³:£³=£³?« ­ .£³F£ ³£ ³E£ ³G£³£³ £³£³=£³£³G£³m£³?« .£³$£ ³"£ ³£³£³£³£³ £³"£³#£³£³"« .£ ³$£³C£³+£³F£³>« .£ ³£³:£³"£³£³« .£³"£ ³P£ ³8£³P£³ £³O£³£³P£³« .£³£ ³£³!£³ £³"£³"« .£ ³'£ ³'£³ « .£³:£ ³R£ ³£³/£³8£³/£³£³;« .£³£ ³X£ ³ £ ³ £³.£³-£³(£³(£³+« » .£³£ ³£ ³'£³w£³£³£³R£³P£³£³X« .£ ³w£³/£³P£³.£³!« .£³.£ ³+£³£³'£³!« .£³(£ ³#£³ £³£³"« .£³-£³ £³£³ « .£³£ ³*£³ £³(£³« .£³ £ ³£³£³£³« .£³(£ ³£³ £³&£³"« .£³£ ³ £ ³£ ³ £³£³£³ £³ £³£³£³£³ « .£³"£ ³£ ³*£³£³£³"£³*£³+£³#£³£³#« .£³(£ ³&£ ³"£ ³£³&£³ £³(£³'£³£³£³« .£³"£ ³"£ ³#£ ³ £³£³£³£³£³!£³$£³£³"« .£³/£ ³(£ ³"£ ³-£³(£³£³(£³£³.£³"£³ £³(« .£³(£ ³£³'£³£³&£³« .£³G£³9£³$£³?« .£³(£ ³;£³£³£³"« .£³G£ ³*£³;£³"£³?« .£³G£ ³:£³(£³#£³?« .£³(£³8£³£³"« .£³ £ ³8£ ³?£ ³£³-£³/£³£³;£³ £³(£³(£³9« .£³E£ ³b£ ³;£³ £³?£³ £³*£³#£³G£³:« .£³£ ³£ ³ £ ³£³(£³£³"£³£³(£³#£³$« .£³G£ ³"£ ³G£ ³"£³(£³(£³(£³?£³"£³G£³?£³?« .£³F£ ³(£ ³E£ ³(£³£³ £³£³G£³(£³G£³G£³G« .£³£ ³ £³.£³-£³(£³(« .£³.£ ³/£³P£³w£³!« .£³ £ ³£³8£³£³« .£³£ ³:£³"£³£³« .£³(£ ³8£³O£³£³"« .£ ³O£ ³£ ³P£³P£³P£³8£³ £³"£³« .£ ³8£ ³/£ ³/£³£³R£³£³:£³;« .£³X£ ³£ ³R£ ³w£³'£³P£³£³£³£³« .£ ³"£ ³!£³£³ £³£³"« .£³+£ ³(£ ³.£³ £³X£³ £³-£³£³(« .£³ £³'£³'« .£³F£ ³B£³9£³/£³>« .£³E£³(£³"£³=« .£³£ ³(£³£³(£³ « .£³£ ³£ ³:£ ³8£³/£³8£³9£³ £³;£³(£³;« .£ ³(£ ³C£ ³£³£³:£³"£³B£³*£³:£³*« .£³(£ ³(£ ³"£ ³£³£³8£³/£³(£³"£³"« .£³*£ ³ £ ³:£ ³£³#£³;£³>£³£³=£³?« .£³B£ ³£ ³ £³*£³£³(£³F£³£³*£³E£³G« .£³*£ ³£³+£³£³#« .£³F£ ³C£³+£³$£³>« .£³£ ³"£³"£³£³ « .£³£ ³"£ ³£ ³"£³ £³!£³"£³(£³£³"£³+£³(« .£³=£ ³"£ ³>£ ³:£³£³£³ £³£³?£³C£³:« .£³£ ³£ ³ £ ³£³£³"£³"£³£³"£³$£³#« .£³?£ ³ £ ³?£ ³£³"£³"£³"£³=£³£³?£³>£³?« .£³m£ ³£ ³=£ ³£³G£³£³£³E£³ £³?£³F£³G« .£³G£ ³£³+£³ £³£³"« .£³X£³P£³'£³R« .£³8£ ³P£ ³"£ ³O£³ £³P£³O£³£³ £³£³"£³8« .£³(£ ³+£ ³8£³£³"£³"£³(£³£³(£³"« .£³(£ ³'£ ³"£ ³£³£³O£³(£³&£³8£³£³« .£³;£ ³R£ ³(£ ³"£³ £³£³8£³ £³"£³9£³ £³"« .£³:£ ³X£ ³(£ ³(£³U£³8£³(£³£³(£³;£³£³(« .£³U£ ³£³T£³ £³£³ «syfi-1.0.0.dfsg.orig/tests/cpp/pnpn2_ex.cpp0000644000175000017500000000201211672223006020376 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle domain; int order = 5; VectorLagrange v_fe; v_fe.set_order(order); v_fe.set_size(2); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); Lagrange p_fe; p_fe.set_order(order-2); p_fe.set_polygon(domain); p_fe.compute_basis_functions(); usage(v_fe, p_fe); Dof dof; std::map, ex> A; compute_Stokes_element_matrix(v_fe, p_fe, dof, A); // regression test archive ar; map,ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A_", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("pnpn2_ex.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("pnpn2_ex.gar.v", "pnpn2_ex.gar.r")) { cerr << "Failure!" << endl; return -1; } return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/triangle_ex1.gar.r0000644000175000017500000000042411672223006021463 0ustar johannrjohannrGARCnumericclass1/24numberintflstrelationalsymbolxnamelhrrhopseqyszR1 9223372036854775808 -6301addrest-1coeffoverall_coeffrepr  J J  Sci J J Sci J  Sci  ss s  ³Ã Ë ss s  sss s ssyfi-1.0.0.dfsg.orig/tests/cpp/polh.cpp0000644000175000017500000000166511672223006017624 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace std; using namespace SyFi; int main() { archive ar; int order = 3; initSyFi(1); cout <<"third order homogenous polynomial in 1D"< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); symbol x0("x0"), x1("x1"), y0("y0"), y1("y1"), z0("z0"); ex p0 = lst(x0,y0,z0); ex p1 = lst(x1,y0,z0); ex p2 = lst(x0,y1,z0); Triangle triangle(p0,p1,p2); ex repr = triangle.repr(); cout <<"t.repr "<? @ AB C * J *  J  3S3Sk 3S3Sk 3S3Sk J {‹ J 3S3S3Sk  J 3S3Sk  3S3Sk {‹ 3S3 S3Sk  3S3Sk  J 3S3Sk {‹ 3 S3S3Sk  J J J$ J( J-syfi-1.0.0.dfsg.orig/tests/cpp/nljacobian_ex.cpp0000644000175000017500000001143211672223006021447 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; void compute_poisson_element_matrix( FE& fe, Dof& dof, std::map, ex>& A) { std::pair index; Polygon& domain = fe.get_polygon(); ex ujs = symbolic_matrix(1,fe.nbf(), "u"); ex u; for (unsigned int k=0; k< fe.nbf(); k++) { u += ujs.op(k)*fe.N(k); } for (unsigned int i=0; i< fe.nbf() ; i++) { index.first = i; ex Fi = inner(grad(u), grad(fe.N(i))); for (unsigned int j=0; j< fe.nbf() ; j++) { index.second = j; symbol uj = ex_to(ujs.op(j)); ex nabla = Fi.diff(uj,1); ex Aij = domain.integrate(nabla); A[index] += Aij; } } } void compute_nlconvdiff_element_matrix( FE& fe, Dof& dof, std::map, ex>& A) { std::pair index; Polygon& domain = fe.get_polygon(); // insert the local dofs into the global Dof object for (unsigned int i=0; i< fe.nbf() ; i++) { dof.insert_dof(1,i,fe.dof(i)); } // create the local U field: U = sum_k u_k N_k ex UU = matrix(2,1,lst(0,0)); ex ujs = symbolic_matrix(1,fe.nbf(), "u"); for (unsigned int k=0; k< fe.nbf(); k++) { UU +=ujs.op(k)*fe.N(k); // U += u_k N_k } //Get U represented as a matrix matrix U = ex_to(UU.evalm()); for (unsigned int i=0; i< fe.nbf() ; i++) { index.first = dof.glob_dof(fe.dof(i)); // fetch global dof associated with i // First: the diffusion term in Fi ex gradU = grad(U); // compute the gradient of U ex Fi_diffusion = inner(gradU, grad(fe.N(i))); // inner product of grad(U) and grad(Ni) // Second: the convection term in Fi ex Ut = U.transpose(); // get the transposed of U ex UgradU = (Ut*gradU).evalm(); // compute U*grad(U) ex Fi_convection = inner(UgradU, fe.N(i), true); // compute U*grad(U)*Ni // add together terms for convection and diffusion ex Fi = Fi_convection + Fi_diffusion; // Loop over all uj and differentiate Fi with respect // to uj to get the Jacobian Jij for (unsigned int j=0; j< fe.nbf() ; j++) { index.second = dof.glob_dof(fe.dof(j)); // fetch global dof associated with j symbol uj = ex_to(ujs.op(j)); // cast uj to a symbol ex Jij = Fi.diff(uj,1); // differentiate Fi with respect to uj ex Aij = domain.integrate(Jij); // intergrate the Jacobian Jij A[index] += Aij; // update the global matrix } } } int main() { initSyFi(2); Triangle T(lst(0,0), lst(1,0), lst(0,1), "t"); int order = 2; // First we compute a standard Poisson problem, i.e., // The differentiation of F(u_i) with respect to u_j // should give the standard Poisson problem. Lagrange fe; fe.set_order(order); fe.set_polygon(T); fe.compute_basis_functions(); Dof dof1; std::map, ex> A1; compute_poisson_element_matrix(fe,dof1,A1); print(A1); // Second we compute a nonlinear convection // diffusion problem. VectorLagrange vfe; vfe.set_order(order); vfe.set_size(2); vfe.set_polygon(T); vfe.compute_basis_functions(); usage(vfe); Dof dof2; std::map, ex> A2; compute_nlconvdiff_element_matrix(vfe,dof2,A2); cout <<"standard output"<,ex>::iterator iter; for (iter = A1.begin(); iter != A1.end() ; iter++) { ar.archive_ex((*iter).second, istr("A1_", (*iter).first.first, (*iter).first.second).c_str()); } for (iter = A2.begin(); iter != A2.end() ; iter++) { ar.archive_ex((*iter).second, istr("A2_", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("nljacobian_ex.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("nljacobian_ex.gar.v", "nljacobian_ex.gar.r")) { cerr << "Failure!" << endl; return -1; } return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/rectangle_ex1.cpp0000644000175000017500000000246511672223006021402 0ustar johannrjohannr#include #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ex f = x*y; ReferenceRectangle rectangle; ex repr = rectangle.repr(); cout <<"s.repr 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» Ë» Ëã ¢"²# » Ë» Ëã ¢$²% »Ë» Ë㠻˻ Ë㠻˻Ë㠻˻ Ë» ˻˻˻Ëã & » Ë»Ë㠻˻ Ë㠻˻Ë㠻˻ Ëã » Ë»Ë㠻˻Ë㠻˻Ëã 'â) »Ë»Ë»Ë㠻˻ ˻˻ Ë㠻˻ Ë»Ë㠻˻˻ Ë㠻˻˻˻Ë㠻˻˻Ë㠻˻˻˻˻ Ë»!Ë㠻˻˻ Ë»Ë㠻˻˻ Ë»Ë㠻˻ ˻˻Ë㠻˻˻ Ë»Ëã »#˻˻˻$Ë»%Ë» Ë»!Ë»&Ëã »#˻˻˻$Ë»%˻˻ Ë»&Ë㠻˻ Ë»Ë㠻˻˻Ëã »#˻˻%Ë»)Ë»*Ë»!Ëã »#˻˻$Ë»%Ë» Ë»)Ë»*Ë»&Ë㠻˻$˻˻)Ë»*Ë»&Ëãsyfi-1.0.0.dfsg.orig/tests/cpp/disconlagrange_ex.cpp0000644000175000017500000000245011672223006022327 0ustar johannrjohannr#include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); Dof dof(true, true); // create two triangles Triangle t1(lst(0,0), lst(1,0), lst(0,1)); Triangle t2(lst(1,1), lst(1,0), lst(0,1)); int order = 2; DiscontinuousLagrange fe; fe.set_order(order); fe.set_polygon(t1); fe.set_element_number(1); fe.compute_basis_functions(); usage(fe); for (unsigned int i=0; i< fe.nbf(); i++) { dof.insert_dof(1,i,fe.dof(i)); } fe.set_polygon(t2); fe.set_element_number(2); fe.compute_basis_functions(); usage(fe); for (unsigned int i=0; i< fe.nbf(); i++) { dof.insert_dof(2,i,fe.dof(i)); } // Print out the global degrees of freedom an their // corresponding local degrees of freedom vector > vec; pair index; ex exdof; for (unsigned int i=0; i< dof.size(); i++) { exdof = dof.glob_dof(i); vec = dof.glob2loc(i); cout <<"global dof " < #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle t; for (int i=0; i< 3; i++) { cout <<" normal 2D"< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(2); ReferenceTriangle domain; VectorCrouzeixRaviart v_fe; v_fe.set_size(2); v_fe.set_polygon(domain); v_fe.compute_basis_functions(); P0 p_fe; p_fe.set_polygon(domain); p_fe.compute_basis_functions(); usage(v_fe, p_fe); Dof dof; std::map, ex> A; compute_Stokes_element_matrix(v_fe, p_fe, dof, A); print(A); // regression test archive ar; for (unsigned int i=0; i, ex>::iterator iter; for (iter = A.begin(); iter != A.end() ; iter++) { ar.archive_ex((*iter).second, istr("A", (*iter).first.first, (*iter).first.second).c_str()); } ofstream vfile("crouzeixraviart_ex2.gar.v"); vfile << ar; vfile.close(); if(!compare_archives("crouzeixraviart_ex2.gar.v", "crouzeixraviart_ex2.gar.r")) { cerr << "Failure!" << endl; return -1; } return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/CMakeLists.txt0000644000175000017500000000106111672223006020704 0ustar johannrjohannrfile(GLOB CPP_TESTS "*.cpp") foreach (CPP_TEST_FULL_PATH ${CPP_TESTS}) get_filename_component(CPP_TEST "${CPP_TEST_FULL_PATH}" NAME_WE) add_executable(${CPP_TEST} ${CPP_TEST_FULL_PATH}) target_link_libraries(${CPP_TEST} syfi ${SYFI_TARGET_LINK_LIBRARIES}) add_test(NAME ${CPP_TEST} COMMAND ${CPP_TEST} > ${CPP_TEST}.out) endforeach() # Copy references to build directory file(GLOB CPP_TEST_REFERENCES "*.r") foreach (CPP_TEST_REFERENCE ${CPP_TEST_REFERENCES}) file(COPY ${CPP_TEST_REFERENCE} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) endforeach() syfi-1.0.0.dfsg.orig/tests/cpp/ex_inspection.cpp0000644000175000017500000000566011672223006021530 0ustar johannrjohannr#include using namespace std; #include using namespace GiNaC; using namespace SyFi; /* Simplification strategy during form creation: * - Count symbols * - Take the X % most used symbols, and create a sqrfree factorization * OR SIMPLY: * - Create a sqrfree factorization wrt (x,y,z) */ /* Simplification strategy after integration: * - Count symbols * - Count flops * - Take the P % most used symbols with degree > D, and create a sqrfree factorization * - Count flops * - Undo if flop count increases! * - Register single variable powers * - Simplify with ExpressionSimplifier */ void print(ex e) { cout << " e = " << e << endl; exhashmap sc = count_symbols(e); exhashmap::iterator it; int count = 0; int maxcount = 0; for(it = sc.begin(); it != sc.end(); it++) { if(it->second > maxcount) maxcount = it->second; count += it->second; //cout << " " << it->first << ": " << it->second << endl; } cout << " number of symbols / total symbol count = " << sc.size() << ", " << count << endl; ExStats es = count_ops(e); cout << " m,a,p,f,flops = " << es.muls << ", " << es.adds << ", " << es.pows << ", " << es.functions << ", " << es.flops << endl; } void variants(ex e) { cout << "====================" << endl; cout << "original:" << endl; print(e); cout << "expand:" << endl; print(expand(e)); cout << "normal:" << endl; print(normal(e)); cout << "sqrfree in x,y,z:" << endl; print(sqrfree(e,lst(x,y,z))); /* cout << "sqrfree in x,y,z of expanded form:" << endl; print(sqrfree(expand(e),lst(x,y,z))); */ /* cout << "collect_common_factors:" << endl; print(collect_common_factors(e)); cout << "collect_common_factors o expand:" << endl; print(collect_common_factors(expand(e))); */ cout << "----------------------------------------" << endl; list sel; list sl; sl.push_back(x); sl.push_back(y); sl.push_back(z); cout << "replace_powers:" << endl; print( replace_powers(e, sl, sel) ); cout << "replace_powers(expand):" << endl; print( replace_powers(expand(e), sl, sel) ); cout << "replace_powers(sqrfree):" << endl; print( replace_powers(sqrfree(e, lst(x,y,z)), sl, sel) ); cout << "replace_powers(sqrfree(expand)):" << endl; print( replace_powers(sqrfree(expand(e), lst(x,y,z)), sl, sel) ); cout << "====================" << endl; /* list::iterator it = sel.begin(); for(;it!=sel.end();it++) { cout << it->first << ", " << it->second << endl; } */ } int main() { initSyFi(3); ex e; e = x*y+y*z+z*x; variants(e); e = pow(x*y+y*z+z*x,5); variants(e); e = (x*y*z)*(x*y*z)+(x*y*z)+(x*y*z); variants(e); e = pow(2-2*y,3) * pow(1+x*y,2) * pow(x-2*y,2) * (x+y); variants(e); e = 1; for(int i=0; i<10; i++) { e = e*isymb("x",i) + isymb("y",i); } variants(e); return 0; } syfi-1.0.0.dfsg.orig/tests/cpp/nedelec_ex1.cpp0000644000175000017500000000271711672223006021035 0ustar johannrjohannr#include using namespace SyFi; using namespace std; void print_out(FE& fe) { for (unsigned int i=0; i< fe.nbf(); i++) { cout <<"fe.N("< #include using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); symbol x0("x0"), x1("x1"), y0("y0"), y1("y1"), z0("z0"), z1("z1"); ex p0 = lst(x0,y0,z0); ex p1 = lst(x1,y1,z1); Line line(p0,p1); symbol t("t"); ex l_repr = line.repr(t); cout <<"l.repr "< using namespace GiNaC; using namespace SyFi; using namespace std; int main() { initSyFi(3); // example that check scaling numeric h(1,100); // 1.0/100 numeric a(1,2); // 1.0/2 ex p0 = lst(a,a,a); ex p1 = lst(a+h,a,a); Line line(p0,p1); ex f = 1; ex intf = line.integrate(f); cout <<"intf "<. # # First added: 2007-05-28 # Last changed: 2007-05-28 geometry_string1d = """\ // coordinates double x0 = c.coordinates[0][0]; double x1 = c.coordinates[1][0]; // affine map double G00 = x1 - x0; """ detG_string1d = """\ double detG_tmp = G00; double detG = fabs(detG_tmp); """ GinvT_string1d = """\ double GinvT00 = 1.0 / G00; """ geometry_string2d = """\ // coordinates double x0 = c.coordinates[0][0]; double y0 = c.coordinates[0][1]; double x1 = c.coordinates[1][0]; double y1 = c.coordinates[1][1]; double x2 = c.coordinates[2][0]; double y2 = c.coordinates[2][1]; // affine map double G00 = x1 - x0; double G01 = x2 - x0; double G10 = y1 - y0; double G11 = y2 - y0; """ detG_string2d = """\ double detG_tmp = G00*G11-G01*G10; double detG = fabs(detG_tmp); """ GinvT_string2d = """\ double GinvT00 = G11 / detG_tmp; double GinvT01 = -G10 / detG_tmp; double GinvT10 = -G01 / detG_tmp; double GinvT11 = G00 / detG_tmp; """ geometry_string3d = """\ // coordinates double x0 = c.coordinates[0][0]; double y0 = c.coordinates[0][1]; double z0 = c.coordinates[0][2]; double x1 = c.coordinates[1][0]; double y1 = c.coordinates[1][1]; double z1 = c.coordinates[1][2]; double x2 = c.coordinates[2][0]; double y2 = c.coordinates[2][1]; double z2 = c.coordinates[2][2]; double x3 = c.coordinates[3][0]; double y3 = c.coordinates[3][1]; double z3 = c.coordinates[3][2]; // affine map double G00 = x1 - x0; double G10 = y1 - y0; double G20 = z1 - z0; double G01 = x2 - x0; double G11 = y2 - y0; double G21 = z2 - z0; double G02 = x3 - x0; double G12 = y3 - y0; double G22 = z3 - z0; """ detG_string3d = """\ double detG_tmp = G00*(G11*G22-G21*G12) - G01*(G10*G22-G20*G12) + G02*(G10*G21-G20*G11); double detG = fabs(detG_tmp); """ # TODO: this can be optimized further, f.ex. G11*G22 occurs both below and in detG # TODO: write this in symbolic form GinvT_string3d = """\ double GinvT00 = ( G11*G22-G12*G21) / detG_tmp; double GinvT01 = (-G22*G10+G12*G20) / detG_tmp; double GinvT02 = (-G11*G20+G10*G21) / detG_tmp; double GinvT10 = ( G02*G21-G22*G01) / detG_tmp; double GinvT11 = ( G22*G00-G02*G20) / detG_tmp; double GinvT12 = (-G21*G00+G20*G01) / detG_tmp; double GinvT20 = ( G12*G01-G11*G02) / detG_tmp; double GinvT21 = ( G10*G02-G12*G00) / detG_tmp; double GinvT22 = ( G11*G00-G10*G01) / detG_tmp; """ def gen_geometry_code(nsd, detG=True, GinvT=False): if nsd != 1 and nsd != 2 and nsd != 3: raise RuntimeError("gen_geometry_code not implemented for nsd != 1, 2 or 3") code = eval("geometry_string%dd" % nsd) if GinvT or detG: code += "\n" + eval("detG_string%dd" % nsd) if GinvT: code += "\n" + eval("GinvT_string%dd" % nsd) # TODO: use GinvT_string(nsd) instead after verification return code + "\n" def GinvT_string(nsd): # TODO: verify and use this above from sfc.CodeFormatter import gen_token_assignments from sfc.symbol_factory import symbolic_matrix G_sym = symbolic_matrix(nsd, nsd, "G") GinvT_sym = symbolic_matrix(nsd, nsd, "GinvT") GinvT = G_sym.inverse().transpose() code = gen_token_assignments( [( GinvT_sym[i], GinvT[i] ) for i in range(nsd**2) ] ) return code if __name__ == '__main__': print GinvT_string(2) print "\n\n" print gen_geometry_code(2, True, True) syfi-1.0.0.dfsg.orig/site-packages/sfc/geometry/UFCCell.py0000644000175000017500000003412511672223006023144 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains a class UFCCell to represent the properties of a cell in a easily accessible way. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-12 # Last changed: 2008-08-12 import swiginac from swiginac import matrix, exp, sqrt import SyFi from sfc.symbolic_utils import cross, inner, symbols from sfc.common.output import sfc_debug # TODO: this code could do with some tests! class UFCCell: def __init__(self, polygon): sfc_debug("Entering UFCCell.__init__") assert isinstance(polygon, SyFi.Polygon) self.polygon = polygon name = polygon.str() x, y, z = symbols("xyz") if isinstance(polygon, SyFi.ReferenceLine) or name == "ReferenceLine": self.shape = "interval" self.facet_shape = "point" # ... dimensions: self.nsd = 1 self.num_vertices = 2 self.num_edges = 1 self.num_faces = 0 self.num_facets = self.num_vertices self.num_entities = (self.num_vertices, self.num_edges) # ... connectivity: self.facet_vertices = [ (0,), (1,) ] # ... geometry: self.vertices = [matrix(self.nsd, 1, polygon.vertex(i)) for i in range(self.num_vertices)] self.facet_polygons = self.vertices # ... normal vector: n = matrix(1, 1, [1]) self.facet_n = [-n, +n] # TODO: is this what we want to do for the interval "normal"? # ... implicit equations: self.facet_equations = [x, x-1] elif isinstance(polygon, SyFi.ReferenceTriangle) or name == "ReferenceTriangle": self.shape = "triangle" self.facet_shape = "interval" # ... dimensions: self.nsd = 2 self.num_vertices = 3 self.num_edges = 3 self.num_faces = 1 self.num_facets = self.num_edges self.num_entities = (self.num_vertices, self.num_edges, self.num_faces) # ... connectivity: # facet vertices in counterclockwise direction around reference cell: self.facet_vertices = [ (1, 2), (2, 0), (0, 1) ] # ... geometry: self.vertices = [matrix(self.nsd, 1, polygon.vertex(i)) for i in range(self.num_vertices)] self.facet_polygons = [polygon.line(i) for i in range(self.num_facets)] # ... normal vector: self.facet_n = [] for facet in range(self.num_facets): fromvert, tovert = self.facet_vertices[facet] # FIXME: finish facet stuff t = self.vertices[fromvert] - self.vertices[tovert] n = matrix(2, 1, [t[1], -t[0]]) n = n / sqrt(inner(n,n)) # TODO: Is this approach efficient? FIXME: Is this correct? Scaling to unit normal on reference domain, but this isn't necessarily unit length on global domain... self.facet_n.append(n) # ... implicit equations: self.edge_equations = [x+y-1, x, y] self.facet_equations = self.edge_equations elif isinstance(polygon, SyFi.ReferenceTetrahedron) or name == "ReferenceTetrahedron": self.shape = "tetrahedron" self.facet_shape = "triangle" # ... dimensions: self.nsd = 3 self.num_vertices = 4 self.num_edges = 6 self.num_faces = 4 self.num_facets = self.num_faces self.num_entities = (self.num_vertices, self.num_edges, self.num_faces, 1) # ... connectivity: # facet vertices in counterclockwise direction around reference cell: self.facet_vertices = [ (1, 2, 3), (0, 3, 2), # (0, 2, 3) (0, 1, 3), (0, 2, 1) # (0, 1, 2) ] # ... geometry: self.vertices = [matrix(self.nsd, 1, polygon.vertex(i)) for i in range(self.num_vertices)] self.facet_polygons = [polygon.triangle(i) for i in range(self.num_facets)] # ... normal vector: self.facet_n = [] for facet in range(self.num_facets): vert = self.facet_vertices[facet] t01 = self.vertices[vert[1]] - self.vertices[vert[0]] t02 = self.vertices[vert[2]] - self.vertices[vert[0]] n = cross(t01, t02) n = n / sqrt(inner(n,n)) # TODO: is this approach efficient? FIXME: Is this correct? Scaling to unit normal on reference domain... self.facet_n.append(n) # ... implicit equations: self.face_equations = [ (x+y+z-1), x, y, z] self.facet_equations = self.face_equations # in a tetrahedron, no two edges are parallel WARNiNG FIXME: this edge code is not verified! p = matrix(3, 1, [x, y, z]) v0, v1, v2, v3 = self.vertices self.edge_equations = [ cross( (p - v3), (v2 - v3) ), cross( (p - v3), (v1 - v3) ), cross( (p - v2), (v1 - v2) ), cross( (p - v3), (v0 - v3) ), cross( (p - v2), (v0 - v2) ), cross( (p - v1), (v0 - v1) ) ] elif isinstance(polygon, SyFi.ReferenceRectangle) or name == "ReferenceRectangle": self.shape = "quadrilateral" self.facet_shape = "interval" # ... dimensions: self.nsd = 2 self.num_vertices = 4 self.num_edges = 4 self.num_faces = 1 self.num_facets = self.num_edges self.num_entities = (self.num_vertices, self.num_edges, self.num_faces) # ... connectivity: # facet vertices in counterclockwise direction around reference cell: self.facet_vertices = [ (2, 3), (1, 2), (3, 0), (0, 1) ] # ... geometry: self.vertices = [matrix(self.nsd, 1, polygon.vertex(i)) for i in range(self.num_vertices)] self.facet_polygons = [polygon.line(i) for i in range(self.num_facets)] # ... normal vector: self.facet_n = [] for facet in range(self.num_facets): fromvert, tovert = self.facet_vertices[facet] t = self.vertices[fromvert] - self.vertices[tovert] n = matrix(2, 1, [t[1], -t[0]]) self.facet_n.append(n) # ... implicit equations: self.edge_equations = [x-1, y-1, x, y] self.facet_equations = self.edge_equations elif isinstance(polygon, SyFi.ReferenceBox) or name == "ReferenceBox": self.shape = "hexahedron" self.facet_shape = "quadrilateral" # ... dimensions: self.nsd = 3 self.num_vertices = 8 self.num_edges = 12 self.num_faces = 6 self.num_facets = self.num_faces self.num_entities = (self.num_vertices, self.num_edges, self.num_faces, 1) # ... connectivity: # facet vertices in counterclockwise direction around reference cell: self.facet_vertices = [ (4, 5, 6, 7), (2, 3, 7, 6), # (2, 3, 6, 7) (1, 2, 6, 5), # (1, 2, 5, 6) (0, 4, 7, 3), # (0, 3, 4, 7) (0, 1, 5, 4), # (0, 1, 4, 5) (0, 3, 2, 1) # (0, 1, 2, 3) ] # Current Lagrange basis function order in SyFi: #0 [[0, 0, 0], 0] #1 [[0, 0, 1], 0] #2 [[1, 0, 0], 0] #3 [[1, 0, 1], 0] #4 [[0, 1, 0], 0] #5 [[0, 1, 1], 0] #6 [[1, 1, 0], 0] #7 [[1, 1, 1], 0] # UFC vertex order for hexes requires reordering: TODO: don't need to do this? #0->0 [[0, 0, 0], 0] #2->1 [[1, 0, 0], 0] #6->2 [[1, 1, 0], 0] #4->3 [[0, 1, 0], 0] #1->4 [[0, 0, 1], 0] #3->5 [[1, 0, 1], 0] #7->6 [[1, 1, 1], 0] #5->7 [[0, 1, 1], 0] # ... geometry: self.vertices = [matrix(self.nsd, 1, polygon.vertex(i)) for i in range(self.num_vertices)] self.facet_polygons = [polygon.rectangle(i) for i in range(self.num_facets)] self.facet_n = [] for facet in range(self.num_facets): # counterclockwise ordering seen from outside of reference cell: vert = self.facet_vertices[facet] # computing normal as the cross product of the facet diagonals t02 = self.vertices[vert[0]] - self.vertices[vert[2]] t13 = self.vertices[vert[1]] - self.vertices[vert[3]] n = cross(t02, t13) #n = n / swiginac.sqrt(inner(n,n)) # TODO: is this approach efficient? FIXME: Is this correct? Scaling to unit normal on reference domain... self.facet_n.append(n) # ... implicit equations: # all faces coincide with a cartesian plane self.face_equations = [z-1, y-1, x-1, x, y, z] self.facet_equations = self.face_equations # points on an edge satisfy the equations of two faces f = self.face_equations e = [0]*12 e[0 ] = (f[0], f[1]) e[1 ] = (f[0], f[2]) e[2 ] = (f[0], f[3]) e[3 ] = (f[0], f[4]) e[4 ] = (f[1], f[3]) e[5 ] = (f[1], f[2]) e[6 ] = (f[1], f[5]) e[7 ] = (f[2], f[4]) e[8 ] = (f[2], f[5]) e[9 ] = (f[3], f[4]) e[10] = (f[3], f[5]) e[11] = (f[4], f[5]) self.edge_equations = [] for f1, f2 in e: self.edge_equations.append( exp(f1)*exp(f2) - 1 ) # TODO: a better equation? else: raise RuntimeError("Unknown polygon type %s." % name) sfc_debug("Leaving UFCCell.__init__") def find_entity(self, xi): "Find which cell entity the coordinate xi lies on." for i in range(self.nsd): for j in range(self.num_entities[i]): if self.entity_check(i, j, xi): return (i, j) return (self.nsd, 0) def entity_check(self, d, i, p): # this is a bit ugly, could benefit from a cleanup # make p into a list if isinstance(p, swiginac.matrix): p = [p[k] for k in range(len(p))] elif isinstance(p, swiginac.basic): p = [p] # check if we match a vertex exactly if d == 0: #eq = self.vertex_equations[i] return bool(self.vertices[i] == matrix(self.nsd, 1, p)) # get implicit equation for this entity if d == -1: eq = self.facet_equations[i] if d == 1: eq = self.edge_equations[i] if d == 2: eq = self.face_equations[i] # check if implicit equation is zero in this point, which means p is on the entity x = symbols(["x", "y", "z"]) for j in range(len(p)): eq = eq.subs(x[j] == p[j]) return inner(eq, eq).expand().is_zero() def facet_check(self, i, p): return self.entity_check(-1, i, p) def vertex_check(self, i, p): return self.entity_check(0, i, p) def edge_check(self, i, p): return self.entity_check(1, i, p) def face_check(self, i, p): return self.entity_check(2, i, p) def __eq__(self, other): if self.shape == other.shape: return True return False def __ne__(self, other): if self.shape == other.shape: return False return True def __str__(self): s = "Cell\n" s += " shape: %s\n" % self.shape s += " nsd: %d\n" % self.nsd s += " num_vertices: %d\n" % self.num_vertices s += " num_edges: %d\n" % self.num_edges s += " num_faces: %d\n" % self.num_faces s += " num_facets: %d\n" % self.num_facets s += " vertices: %s\n" % str(self.vertices) s += " facet_equations: %s\n" % str(self.facet_equations) return s if __name__ == "__main__": print "" polygon = SyFi.ReferenceLine() cell = UFCCell(polygon) print cell print "" polygon = SyFi.ReferenceTriangle() cell = UFCCell(polygon) print cell print "" polygon = SyFi.ReferenceTetrahedron() cell = UFCCell(polygon) print cell syfi-1.0.0.dfsg.orig/site-packages/sfc/geometry/mappings.py0000644000175000017500000000662311672223006023547 0ustar johannrjohannr # -*- coding: utf-8 -*- """ This module contains functions for computing integrals both symbolically and numerically. """ # Copyright (C) 2007-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-11-07 # Last changed: 2009-03-04 import swiginac import SyFi from sfc.quadrature import find_quadrature_rule from sfc.symbolic_utils import symbol, symbols from sfc.geometry.UFCCell import UFCCell def geometry_mapping(polygon): """ This function computes the geometry mapping from the corresponding reference polygon to polygon. It returns the tuple (G,x0) in the mapping x = G xi + x0 """ vlen = SyFi.cvar.nsd # If we get a point, return this trivial mapping if isinstance(polygon, swiginac.matrix): # x = 1 * xi + x0 = x0 because xi is always zero at the point assert vlen == 1 assert polygon.rows() == 1 assert polygon.cols() == 1 G = swiginac.matrix(1, 1, [1]) x0 = polygon return G, x0 Gl = [] v0 = polygon.vertex(0) v1 = polygon.vertex(1) assert vlen == len(v0) if isinstance(polygon, SyFi.Line): Gl.extend(v1[k] - v0[k] for k in range(vlen)) elif isinstance(polygon, SyFi.Triangle): if vlen == 2 or vlen == 3: v2 = polygon.vertex(2) Gl.extend(v1[k] - v0[k] for k in range(vlen)) Gl.extend(v2[k] - v0[k] for k in range(vlen)) else: raise RuntimeError("Unsupported vertex size.") elif isinstance(polygon, SyFi.Rectangle): if vlen == 2 or vlen == 3: # TODO: improve mapping v2 = polygon.vertex(2) v3 = polygon.vertex(3) Gl.extend(v1[k] - v0[k] for k in range(vlen)) Gl.extend(v3[k] - v0[k] for k in range(vlen)) else: raise RuntimeError("Unsupported vertex size.") elif isinstance(polygon, SyFi.Tetrahedron): if vlen != 3: raise RuntimeError("Unsupported vertex size.") v2 = polygon.vertex(2) v3 = polygon.vertex(3) Gl.extend(v1[k] - v0[k] for k in range(vlen)) Gl.extend(v2[k] - v0[k] for k in range(vlen)) Gl.extend(v3[k] - v0[k] for k in range(vlen)) elif isinstance(polygon, SyFi.Box): if vlen != 3: raise RuntimeError("Unsupported vertex size.") v2 = polygon.vertex(2) # TODO: improve mapping v3 = polygon.vertex(3) v4 = polygon.vertex(4) Gl.extend(v1[k] - v0[k] for k in range(vlen)) Gl.extend(v3[k] - v0[k] for k in range(vlen)) Gl.extend(v4[k] - v0[k] for k in range(vlen)) else: raise RuntimeError("Unsupported polygon type.") G = swiginac.matrix(vlen, vlen, Gl).transpose() x0 = swiginac.matrix(vlen, 1, v0) #print "G =", G return G, x0 syfi-1.0.0.dfsg.orig/site-packages/sfc/quadrature/0000755000175000017500000000000011674103625021700 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/quadrature/__init__.py0000644000175000017500000000203011672223006023776 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module handles various aspects of quadrature rules. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-12 # Last changed: 2008-08-12 from sfc.quadrature.quadrature import find_quadrature_rule from sfc.quadrature.quadrature_code import gen_quadrature_rule_definition, gen_quadrature_rule_definitions syfi-1.0.0.dfsg.orig/site-packages/sfc/quadrature/quad_tables.py0000644000175000017500000151420311672223006024536 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains quadrature rule tables copied from P. Solin, K Segeth, and I Dolezel. Higher–Order Finite Element Methods. Studies in Advanced Mathematics. Chapman and Hall/CRC, 2004. Use the function load_table(polygon, family) to get a list of QuadRule objects. The family can be one of {"composite_gauss", "economical_gauss"}, the polygon name one of the UFC polygon names. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-09-01 # Last changed: 2008-09-01 from sfc.quadrature.QuadRule import QuadRule # TODO: To add non-Gauss rules here, just write them in the same format # as the gauss strings, and call them myrule_polygonname_table, # just like economical_gauss_triangle_table etc. from ufl.geometry import domain2dim def load_rule(polygon, order, family): rules = load_table(polygon, family) while 1: # find the first rule with this order for r in rules: if r.order == order: return r # if this failed, find the first rule order+1 order += 1 raise RuntimeError("Found no rule for a %s with order %d in family %s" % (polygon, order, family)) def load_table(polygon, family): """Return list of quadrature rules matching polygon and family.""" rules = parse_table_string(polygon, family) rules = scale_table(rules) return rules def parse_table_string(polygon, family): # Fetch a table string with quadrature points and weights for different orders. name = "%s_%s_table" % (family, polygon) tablestring = eval(name) nsd = domain2dim[polygon] lines = tablestring.split('\n') rules = [] i = 0 while i. # # First added: 2008-08-12 # Last changed: 2008-08-12 from sfc.quadrature.QuadRule import QuadRule from sfc.quadrature.quad_tables import load_rule from ufl.geometry import domain2dim def find_quadrature_rule(polygon, order, family="gauss"): if polygon == "point": return QuadRule(polygon, 1, 0, [(0.0,)], [1.0], "Single point evaluation rule.") if family == "gauss": if polygon in ("triangle", "tetrahedron"): family = "economical_gauss" else: family = "composite_gauss" if family == "economical_gauss": return load_rule(polygon, order, family) if family == "composite_gauss": rule = load_rule("interval", order, "gauss") #print "rule = ", rule nsd = domain2dim[polygon] if nsd == 1: return rule # construct composite rule from 1D formula assert polygon in ("quadrilateral", "hexahedron") points = [] weights = [] rr = range(rule.num_points) if nsd == 2: for i in rr: for j in rr: points.append( (rule.points[i][0], rule.points[j][0]) ) weights.append( rule.weights[i]*rule.weights[j] ) elif nsd == 3: for i in rr: for j in rr: for k in rr: points.append( (rule.points[i][0], rule.points[j][0], rule.points[k][0]) ) weights.append( rule.weights[i]*rule.weights[j]*rule.weights[k] ) comment = "Computed composite_gauss rule on %s of order %d." % (polygon, order) return QuadRule(polygon, nsd, order, points, weights, comment) raise RuntimeError("Found no rule for a %s with order %d in family %s" % (polygon, order, family)) if __name__ == '__main__': print "No test here." syfi-1.0.0.dfsg.orig/site-packages/sfc/quadrature/quadrature_code.py0000644000175000017500000000636511672223006025425 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains code generation tools for quadrature rules. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-19 from sfc.codegeneration.codeformatting import indent def gen_quadrature_rule_definition(rule, points_name="quad_points", weigths_name="quad_weights"): code = "" code += "static const double %s[%d][%d] = \n" % (points_name, rule.num_points, rule.nsd) code += " {\n" code += ",\n".join( [ " { %s }" % (", ".join(map(str,p))) for p in rule.points ] ) code += "\n };\n" code += "\n" code += "static const double %s[%d] =\n" % (weigths_name, rule.num_points) code += " {\n" code += " " + ", ".join( map(str, rule.weights) ) code += "\n };\n" return code def gen_quadrature_rule_definitions(rules, points_name="facet_quad_points", weigths_name="facet_quad_weights"): """Generate static code for quadrature rule definitions for a list of rules.""" nr = len(rules) nq = rules[0].num_points nsd = rules[0].nsd code = "" rule_snippets = [] for r in range(nr): rule = rules[r] point_snippets = [] for p in rule.points: c = "{ " + ", ".join(map(str,p)) + " }" point_snippets.append( indent(c) ) cc = "{ // quadrature points for rule %d:\n" % r cc += ",\n".join(point_snippets) + "\n" cc += "}" rule_snippets.append( indent(cc) ) code += "// [number of rules][number of points][space dimension]\n" code += "static const double %s[%d][%d][%d] = \n" % (points_name, nr, nq, nsd) code += indent("{") + "\n" code += indent(",\n".join(rule_snippets)) + "\n" code += indent("};") + "\n\n" rule_snippets= [] for r in range(nr): rule = rules[r] c = "// weights for rule %d:\n" % r c += "{ " c += ", ".join(map(str, rule.weights)) c += " }" rule_snippets.append( indent(c) ) code += "// [number of rules][number of points]\n" code += "static const double %s[%d][%d] =\n" % (weigths_name, nr, nq) code += indent("{") + "\n" code += indent(",\n".join(rule_snippets)) + "\n" code += indent("};") + "\n\n" return code if __name__ == '__main__': inner_code = "// Compute A here\n" order = 3 polygon = "triangle" rule = find_quadrature_rule(polygon, order, "gauss") code = gen_quadrature_rule_definition(rule) print code rules = [rule, rule, rule] code = gen_quadrature_rule_definitions(rules) print code syfi-1.0.0.dfsg.orig/site-packages/sfc/quadrature/QuadRule.py0000644000175000017500000000344311672223006023772 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains a class for representing quadrature rules. """ # Copyright (C) 2007 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: November 29th 2007 # Last changed: November 29th 2007 class QuadRule: """This class represents a specific quadrature rule over a polygon.""" def __init__(self, polygon, nsd, order, points, weights, comment): assert len(points) == len(weights) self.polygon = polygon self.nsd = nsd self.num_points = len(points) self.points = points self.weights = weights self.comment = comment self.order = order def __str__(self): s = "Quadrature rule:\n" s += " comment: %s\n" % self.comment s += " polygon = %s\n" % self.polygon s += " nsd = %d\n" % self.nsd s += " num_points = %d\n" % self.num_points s += " points = %s\n" % self.points s += " weights = %s\n" % self.weights s += " order = %d\n" % self.order return s if __name__ == '__main__': print "No test here." syfi-1.0.0.dfsg.orig/site-packages/sfc/common/0000755000175000017500000000000011674103625021013 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/common/__init__.py0000644000175000017500000000057711672223006023127 0ustar johannrjohannr from sfc.common.version import version from sfc.common.ParameterDict import ParameterDict from sfc.common.options import default_parameters from sfc.common.paths import get_abs_ufc_h_path from sfc.common.output import sfc_debug, sfc_info, sfc_warning, sfc_error, sfc_assert, write_file from sfc.common.output import get_log_handler, get_logger, set_log_handler, set_logging_level syfi-1.0.0.dfsg.orig/site-packages/sfc/common/options.py0000644000175000017500000001035011672223006023051 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains default options for SFC. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-08-13 # Last changed: 2009-04-23 from sfc.common.ParameterDict import ParameterDict def default_parameters(): """Construct a ParameterDict with default options for SFC, which can then be modified and passed to jit. Some options may need explanation: options.integration.representation: "disable" | Generate empty tabulate_tensor functions, for debugging. "symbolic" | Integrate each element tensor entry symbolically. "truncated_symbolic" | Integrate symbolically after truncating the Taylor series. "symbolic_quadrature" | Integrate by quadrature using symbolic expressions. "quadrature" | (DEFAULT) Generate (partially) inlined quadrature rule. "safe_quadrature" | Generate slow but safe quadrature code. """ ### General output options: output = ParameterDict(enable_timing = False, verbosity = 0, # TODO: Use logging system, verbosity = logging.WARNING enable_debug_prints = False, store_log = False) ### General code generation options: # General form options: form = ParameterDict(name = None) # Integration options: integral = ParameterDict(integration_method = "quadrature", # "symbolic", integration_order = None, enable_debug_code = False, safemode = False, use_expand_indices2 = False) # Dof map code generation: dof_map = ParameterDict(enable_dof_ptv = False) # Finite element code generation: finite_element = ParameterDict(enable_evaluate_basis = True, enable_evaluate_basis_derivatives = True, default_order_of_element = 2, evaluate_basis_derivatives_order = 1, # highest order generated optimize_basis = False, enable_horner = False) # TODO: use horners rule in evaluate_basis* code = ParameterDict(form = form, integral = integral, dof_map = dof_map, finite_element = finite_element, prefix = "", dolfin_wrappers = False) ### General compilation options: compilation = ParameterDict(enable_debug_code = False, cache_dir = None, # Override cache directory overwrite_cache = False, # Force recompilation independent of cache status cppargs = ["-O2"], skip = False, # To bypass C++ compilation phase (intended for testing and profiling) generate_interface = True, # To bypass generation of swig interface generate_setup = True) # To bypass generation of setup.py file ### All options collected: options = ParameterDict(output = output, code = code, compilation = compilation) return options syfi-1.0.0.dfsg.orig/site-packages/sfc/common/names.py0000644000175000017500000000366011672223006022467 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains tools for consistent naming of classes. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-12 # Last changed: 2009-04-23 import re import hashlib def short_name(prefix, name, max_name_length = 60): if len(name) > max_name_length: name = hashlib.md5(name).hexdigest().lower() return prefix + name def base_element_classname(element): #return "%s_%s_%d" % (element.family, element.cell, element.degree) s = repr(element).strip() s = re.sub("[^\w]", "_", s) s = re.sub("_+", "_", s) s = s.strip("_") return s def finite_element_classname(element): return short_name("fe_", base_element_classname(element)) def dof_map_classname(element): return short_name("dm_", base_element_classname(element)) def integral_classname(integral, form_name): m = integral.measure() prefix = "%s_integral_%s" % (m.domain_type(), m.domain_id()) return short_name(prefix, form_name) def form_classname(form, options): if options.code.form.name: form_name = options.code.form.name else: checksum = hashlib.md5(repr(form) + repr(options)) form_name = checksum.hexdigest().lower() return short_name("form_", form_name) syfi-1.0.0.dfsg.orig/site-packages/sfc/common/paths.py0000644000175000017500000000144311672223006022500 0ustar johannrjohannr import os import glob import instant def get_abs_ufc_h_path(): (ufc_include_dirs, ufc_flags, ufc_libs, ufc_libdirs) = instant.header_and_libs_from_pkgconfig("ufc-1") if len(ufc_include_dirs) == 0: sys_dirs = ["/usr/include", "/usr/local/include", "/opt/include"] for d in sys_dirs: f = glob.glob(os.path.join(d, "ufc.h")) if len(f) == 1: return f[0] raise RuntimeError("ERROR: Found no include dir for ufc.h: %s. FIXME: Need better configuration tools in SyFi!") if len(ufc_include_dirs) > 1: print "WARNING: Found more than one include dir for ufc.h: %s. Using %s. FIXME: Need better configuration tools in SyFi!" % (str(ufc_include_dirs), ufc_include_dirs[0]) return os.path.join(ufc_include_dirs[0], "ufc.h") syfi-1.0.0.dfsg.orig/site-packages/sfc/common/utilities.py0000644000175000017500000001145211672223006023375 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains utility functions for various stuff. """ # Copyright (C) 2007-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-06-15 # Last changed: 2009-03-19 from itertools import izip import swiginac #import strings import numpy.testing _last_m = numpy.testing.memusage() def printmem(msg): global _last_m m = numpy.testing.memusage() diff = m - _last_m print msg, diff, "b, ", diff/1024, "Kb, ", diff/1024**2, "Mb" _last_m = m def dot_product(seq1, seq2): return sum(a*b for (a,b) in izip(seq1,seq2)) def make_name_valid(name): """Filter away .[] from indexed array names.""" name = name.replace(".","_") name = name.replace("[","_") name = name.replace("]","_") return name def index_string(i): if isinstance(i, int): return str(i) return "_".join(str(j) for j in i) def fe_is_discontinuous(fe): sfc_error("FIXME") if not isinstance(fe, str): fe = strings.finite_element_classname(fe) if "_" in fe: fe = fe.split('_')[1] return fe in ["DiscontinuousLagrange", "VectorDiscontinuousLagrange", "TensorDiscontinuousLagrange", "ArnoldFalkWintherWeakSymU", "ArnoldFalkWintherWeakSymP"] def fe_is_signed(fe): sfc_error("FIXME") if not isinstance(fe, str): fe = strings.finite_element_classname(fe) if "_" in fe: fe = fe.split('_')[1] return fe in ["ArnoldFalkWintherWeakSymSigma", "Nedelec2Hdiv", "Nedelec2HdivPtv", "Nedelec", "RaviartThomas", "Robust", "RobustPtv"] def check_range(i, a, b, msg="Invalid range."): """Check that i is in [a,b), raise exception otherwise.""" if (i < a or i >= b) and (a != b): raise ValueError(msg) def unique(sequence): s = set() for i in sequence: if not i in s: s.add(i) yield i def indices_subset(indices, keep): newindices = [] for ii in indices: jj = tuple((j if keep[i] else None) for (i,j) in enumerate(ii)) newindices.append(jj) return tuple(unique(newindices)) def shape(dims): #if len(dims) == 0: # return (1,) return tuple(dims) def permute(shape): """Returns a permutation of all multiindices within the range of a rank 0, 1, or 2 tensor shape.""" if len(shape) == 0: return [(0,)] if len(shape) == 1: return [(k,) for k in range(shape[0])] if len(shape) == 2: return [(k1,k2) for k1 in range(shape[0]) for k2 in range(shape[1])] raise ValueError("Shapes with rank 3 or higher not implemented in permute(shape)") def list_items(l): return zip( range(len(l)), l ) def as_list_with_len(x, wantlen): """If x is not a list type, it is repeated in a list wantlen times. Otherwise checks it x the correct length. Always returns a list with length wantlen or raises an exception.""" if isinstance(x, tuple): x = list(x) if not isinstance(x, list): x = [x,] if len(x) == 1: x = wantlen*x if len(x) != (wantlen): raise ValueError("Got list with size " + str(len(x)) + ", need " + str(wantlen) + ".") return x def matrix_to_list(m): return [m[i] for i in range(len(m))] def list_to_matrix(m, n, l): if len(l) != m*n: raise ValueError("Invalid sizes: %d * %d != %d" % (m, n, l)) return swiginac.matrix(m, n, l) def list_to_vector(l): return swiginac.matrix(len(l), 1, l) def is_function(f): return hasattr(f, 'func_name') def is_functor(f): if hasattr(f, 'func_name'): return False return hasattr(f, '__call__') def get_func_code(f): """Get the func_code object from a function or functor object.""" if not callable(f): raise RuntimeError("Object is not callable!") fc = None if is_function(f): fc = f.func_code if is_functor(f): fc = f.__call__.im_func.func_code return fc def get_callable_name(f): return get_func_code(f).co_name def get_callable_num_args(f): return get_func_code(f).co_argcount syfi-1.0.0.dfsg.orig/site-packages/sfc/common/version.py0000644000175000017500000000002611672223006023042 0ustar johannrjohannr version = (0, 5, 2) syfi-1.0.0.dfsg.orig/site-packages/sfc/common/ParameterDict.py0000644000175000017500000001657611672223006024122 0ustar johannrjohannr#!/usr/bin/env python """Contains the ParameterDict class, useful for defining recursive dictionaries of parameters and using attribute syntax for later access. Some useful features: - Recursive copy function of parameter subsets - Recursive update function including parameter subsets - Recursive indented pretty-print - Valid parameters are declared as keyword arguments to the constructor, and assigning to indeclared variables is not allowed. See help(ParameterDict) for an interactive example. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-06-22 # Last changed: 2008-06-23 class ParameterDict(dict): """A dictionary with attribute-style access, that maps attribute access to the real dictionary. Interactive example: >>> m = ParameterDict(Re = 1.0, f = "sin(x)") >>> print m Re = 1.0 f = 'sin(x)' >>> s = ParameterDict(max_iterations = 10, tolerance = 1e-8) >>> print s max_iterations = 10 tolerance = 1e-08 >>> p = ParameterDict(model = m, solver = s) >>> print p model = { Re = 1.0 f = 'sin(x)' } solver = { max_iterations = 10 tolerance = 1e-08 } >>> q = p.copy() >>> q.model.Re = 2.3e6 >>> q.solver.max_iterations = 100 >>> print q model = { Re = 2300000.0 f = 'sin(x)' } solver = { max_iterations = 100 tolerance = 1e-08 } >>> print p model = { Re = 1.0 f = 'sin(x)' } solver = { max_iterations = 10 tolerance = 1e-08 } >>> p.update(q) >>> print p model = { Re = 2300000.0 f = 'sin(x)' } solver = { max_iterations = 100 tolerance = 1e-08 } >>> s.nothere = 123 Traceback (most recent call last): File "doctest.py", line 1212, in __run compileflags, 1) in test.globs File "", line 1, in s.nothere = 123 File "ParameterDict.py", line 107, in __setattr__ raise AttributeError("%s is not an item in this parameter dict." % key) AttributeError: nothere is not an item in this parameter dict. """ def __init__(self, **params): dict.__init__(self, **params) for k,v in params.iteritems(): self.__setattr__(k, v) def __getstate__(self): return self.__dict__.items() def __setstate__(self, items): for key, val in items: self.__dict__[key] = val def __str__(self): return self.format() def __repr__(self): return "%s(%s)" % (self.__class__.__name__, ", ".join("%s = %s" % (k,repr(dict.__getitem__(self, k))) for k in sorted(dict.iterkeys(self)))) def __delitem__(self, key): return dict.__delitem__(self, key) def __setattr__(self, key, value): assert isinstance(key, str) if dict.__contains__(self, key): dict.__setitem__(self, key, value) else: # TODO: Keep or drop this? raise AttributeError("%s is not an item in this parameter dict." % key) return dict.__setattr__(self, key, value) def __getattr__(self, key): if not dict.__contains__(self, key): raise AttributeError("%s is not an item in this parameter dict." % key) return dict.__getitem__(self, key) def format(self, indent=None): "Make a recursive indented pretty-print string of self and parameter subsets." value_formatter = repr if indent is None: indent = 0 s = "" for k in sorted(dict.iterkeys(self)): v = getattr(self, k) if isinstance(v, self.__class__): s += " "*indent + "%s = {\n" % k s += v.format(indent+1) s += "\n" + " "*indent + "}\n" else: s += " "*indent + "%s = %s\n" % (k, value_formatter(v)) return s[:-1] def copy(self): """Make a copy of self, including recursive copying of parameter subsets. Parameter values themselves are not copied.""" # TODO: Make this an external function to handle recursive dicts... items = {} for k in dict.iterkeys(self): v = getattr(self, k) if isinstance(v, dict): #self.__class__): items[k] = v.copy() else: items[k] = v ch = ParameterDict(**items) return ch def update(self, other): "A recursive update that handles parameter subsets correctly unlike dict.update." # TODO: Make this an external function to handle recursive dicts... for k in dict.iterkeys(other): sv = getattr(self, k) ov = getattr(other, k) if isinstance(sv, dict): #self.__class__): # Update my own subdict with others subdict sv.update(ov) else: # Set my own value to others value setattr(self, k, ov) # Test code if __name__ == "__main__": def default_a(): p = ParameterDict(abla=123, abli="sin") return p def default_b(): p = ParameterDict(bblal=987, bling="akjh") return p def default_params(): p = ParameterDict(something = 3, other = .1239, a = default_a(), b = default_b() ) return p # Get a defined set of parameters p = default_params() # Test parameter setting p.something = 9 p.other = "8134" # Test parameter setting exceptions try: p.blatti = 7 raise RuntimeError("Failed to throw exception on erroneous parameter assignment.") except: pass # Test iteration: for k in p.keys(): print k for k in p.iterkeys(): print k for v in p.values(): print v for v in p.itervalues(): print v for k,v in p.items(): print k,v for k,v in p.iteritems(): print k,v # Test random access: ap1 = p.a ap2 = p["a"] assert ap1 is ap2 # Test printing of parameter set print print "str(p):" print str(p) print print "repr(p):" print repr(p) print # Test copy q = p.copy() q.something = "q specific!" q.a.abla = "q.a specific!" print print "Should be different:" print repr(p) print repr(q) # Test update p.update(q) print print "Should be equal:" print repr(q) print repr(p) # Test indented formatting: print print q.format() print p # Run doctest def _test(): import doctest doctest.testmod() if __name__ == "__main__": _test() syfi-1.0.0.dfsg.orig/site-packages/sfc/common/output.py0000644000175000017500000000442011672223006022717 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains output and logging utilities. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-09-03 # Last changed: 2008-09-03 import logging # Logging wrappers _log = logging.getLogger("sfc") _loghandler = logging.StreamHandler() _log.addHandler(_loghandler) _log.setLevel(logging.WARNING) #_log.setLevel(logging.DEBUG) def get_log_handler(): return _loghandler def get_logger(): return _log def set_log_handler(handler): global _loghandler _log.removeHandler(_loghandler) _loghandler = handler _log.addHandler(_loghandler) def set_logging_level(level): if isinstance(level, str): level = level.upper() assert level in ("INFO", "WARNING", "ERROR", "DEBUG") level = getattr(logging, level) else: assert isinstance(level, int) _log.setLevel(level) # Aliases for calling log consistently: def sfc_debug(*message): _log.debug(*message) def sfc_info(*message): _log.info(*message) def sfc_warning(*message): _log.warning(*message) def sfc_error(*message): _log.error(*message) text = message[0] % message[1:] raise RuntimeError(text) def sfc_assert(condition, *message): if not condition: _log.error(*message) text = message[0] % message[1:] raise AssertionError(text) # Utility functions for file handling: def write_file(filename, text): "Write text to a file and close it." try: f = open(filename, "w") f.write(text) f.close() except IOError, e: sfc_error("Can't open '%s': %s" % (filename, e)) syfi-1.0.0.dfsg.orig/site-packages/sfc/dofcode/0000755000175000017500000000000011674103625021126 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/dofcode/__init__.py0000644000175000017500000000250411672223006023232 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains code for the class Dof_Ptv and its related components. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-09-03 # Last changed: 2008-09-03 from sfc.dofcode.Ptv import Ptv from sfc.dofcode.DofT import DofT from sfc.dofcode.Dof_Ptv import Dof_Ptv def gen_utility_code(hfilename): name = hfilename.split(".")[0] if name == "Ptv": return name, Ptv.header, Ptv.implementation if name == "DofT": return name, DofT.header, DofT.implementation if name == "Dof_Ptv": return name, Dof_Ptv.header, Dof_Ptv.implementation raise RuntimeError("Unknown utility '%s'." % hfilename) syfi-1.0.0.dfsg.orig/site-packages/sfc/dofcode/DofT.py0000644000175000017500000002657611672223006022346 0ustar johannrjohannr header = """ #ifndef SFC_DOFT_IS_INCLUDED #define SFC_DOFT_IS_INCLUDED #include #include #include #include #include #include namespace sfc { typedef std::pair< unsigned int, unsigned int > pair_ii; typedef std::vector< unsigned int > vector_i; typedef std::vector< std::pair > vector_ii; /* A general degree of freedom (dof) builder for finite element applications, counting global indices based on a given dof representation object of type D. The type D must have an "bool D::operator<(const D&) const" implemented to work as key in the std::map used here. The structure dof2glob_map is the central structure, and is always constructed. The structures loc2glob_array, loc2glob_map, glob2loc_map, and glob2dof_map are optional, and enabled by the bools named create_loc2glob_array etc. They are all initialized and updated by insert_dof(...). */ template class DofT { protected: unsigned int _global_dimension; unsigned int _num_elements; unsigned int _local_dimension; public: // TODO: remove, temporary hack while changing sfc /* Central dynamic structure: based on dof representations with type D, store the corresponding global indices. (D Lj) -> (uint j) */ std::map< D, unsigned int > dof2glob_map; /* Static and efficient local to global mapping. (uint e, uint i) -> (uint j) Index like this: global_index = loc2glob[element*local_dimension + local_index] */ bool create_loc2glob_array; std::tr1::shared_ptr loc2glob_array; /* Dynamic but slower local to global mapping. (uint e, uint i) -> (uint j) */ bool create_loc2glob_map; std::map< pair_ii, unsigned int > loc2glob_map; // std::map< unsigned int e, vector_i > loc2glob_map; // TODO: this should be a bit more efficient for large local_dimension /* Dynamic global to local mapping. Given the global index of a dof, provides a vector with the local index of the dof for each element it occurs in. (uint j) -> vector< pair, .. pair > */ bool create_glob2loc_map; std::map< unsigned int, vector_ii > glob2loc_map; /* Dynamic mapping from global index to dof representation object of type D. (uint j) -> (D Lj) */ bool create_glob2dof_map; std::map< unsigned int, D > glob2dof_map; public: DofT(bool create_glob2dof_map = false, bool create_glob2loc_map = false, bool create_loc2glob_map = false, bool create_loc2glob_array = true): _global_dimension(0), _num_elements(0), _local_dimension(0), create_loc2glob_array( create_loc2glob_array ), create_loc2glob_map( create_loc2glob_map ), create_glob2loc_map( create_glob2loc_map ), create_glob2dof_map( create_glob2dof_map ) { } ~DofT() { } // Clear all internal structures. void clear(); // Call to allocate static structures before using insert_dof(...). void init(unsigned int num_elements, unsigned int local_dimension); // Call to allocate static structures before using insert_dof(...). void init(unsigned int num_elements, unsigned int local_dimension, std::tr1::shared_ptr loc2glob); // Update the internal structures with a new dof. unsigned int insert_dof(unsigned int e, unsigned int i, D Li); // Get the local to global mapping array. std::tr1::shared_ptr get_loc2glob_array() const { return loc2glob_array; } // Return the number of elements inserted. unsigned int num_elements() const { return _num_elements; } // Return the number of global dofs inserted. unsigned int global_dimension() const { return _global_dimension; } // Return the number of dofs per elements. unsigned int local_dimension() const { return _local_dimension; } // Return the global index for local dof i in element e. unsigned int glob_index(unsigned int e, unsigned int i) const; // Return the global index for dof Lj represented with the templated type D. unsigned int glob_index(D Lj) const; // Return the dof (represented with the templated type D) for global index j. D glob_dof(unsigned int j) const; // Fill a vector with all the (element, index) pairs corresponding the dof with to this global index. void glob2loc(unsigned int j, vector_ii & loc) const; // Build loc2glob_array from loc2glob_map for future efficient lookup. void build_loc2glob(); }; template void DofT::clear() { _global_dimension = 0; _num_elements = 0; _local_dimension = 0; dof2glob_map.clear(); loc2glob_array.reset(); loc2glob_map.clear(); glob2dof_map.clear(); glob2loc_map.clear(); } template class array_deleter { public: void operator() (T *p_) { delete [] p_; } }; // constructing a shared_ptr to an array: template std::tr1::shared_ptr create_shared_array(unsigned int n) { T * ptr = new T[n]; std::tr1::shared_ptr sptr(ptr, array_deleter()); return sptr; } template void DofT::init(unsigned int num_elements, unsigned int local_dimension) { if( !create_loc2glob_array ) { std::cerr << "WARNING: Calling init with create_loc2glob_array == false makes little sense." << std::endl; std::cerr << " Check your program logic." << std::endl; } create_loc2glob_array = true; _num_elements = num_elements; _local_dimension = local_dimension; loc2glob_array = create_shared_array(_num_elements*_local_dimension); } template void DofT::init(unsigned int num_elements, unsigned int local_dimension, std::tr1::shared_ptr loc2glob) { if( !create_loc2glob_array ) { std::cerr << "WARNING: Calling init with create_loc2glob_array == false makes little sense." << std::endl; std::cerr << " Check your program logic." << std::endl; } create_loc2glob_array = true; _num_elements = num_elements; _local_dimension = local_dimension; loc2glob_array = loc2glob; } template unsigned int DofT::insert_dof(unsigned int e, unsigned int i, D Li) { if (e+1 > _num_elements) { _num_elements = e+1; if( create_loc2glob_array ) { throw std::runtime_error("In this version of DofT we assume that the number of elements are predefined!"); } } if (i+1 > _local_dimension) { _local_dimension = i+1; if( create_loc2glob_array ) { throw std::runtime_error("In this version of DofT we assume that the local dimension is predefined!"); } } // the return value unsigned int return_dof; // check if the dof is new typename std::map< D, unsigned int >::iterator index_iter = dof2glob_map.find(Li); if( index_iter != dof2glob_map.end() ) { // reuse global index return_dof = index_iter->second; } else { // pick a new global index return_dof = _global_dimension; // count inserted global indices _global_dimension++; // the central "D -> global index" map dof2glob_map[Li] = return_dof; if ( create_glob2dof_map ) { std::pair p(return_dof, Li); glob2dof_map.insert(p); //glob2dof_map[return_dof] = Li; } if ( create_glob2loc_map ) { // initialize with empty vector glob2loc_map[return_dof] = vector_ii(); glob2loc_map[return_dof].reserve(_local_dimension); } } if ( create_glob2loc_map ) { glob2loc_map[return_dof].push_back(pair_ii(e, i)); } if( create_loc2glob_map ) { loc2glob_map[pair_ii(e, i)] = return_dof; } if( create_loc2glob_array ) { unsigned int * l2g = loc2glob_array.get(); unsigned int k = e*_local_dimension + i; l2g[k] = return_dof; } return return_dof; } template unsigned int DofT::glob_index(unsigned int e, unsigned int i) const { if ( create_loc2glob_array ) { if( e >= _num_elements ) { throw std::runtime_error("Invalid element index."); } if( i >= _local_dimension ) { throw std::runtime_error("Invalid local index."); } unsigned int * l2g = loc2glob_array.get(); return l2g[e*_local_dimension + i]; } else { if ( !create_loc2glob_map ) { throw std::runtime_error("This structure has not been created, you must turn on the create_loc2glob_map flag before initialization!"); } pair_ii index(e, i); std::map< pair_ii, unsigned int >::const_iterator res = loc2glob_map.find(index); if ( res == loc2glob_map.end() ) { throw std::runtime_error("In glob_index(e,i): Not found"); } return res->second; } } template unsigned int DofT::glob_index(D Lj) const { typename std::map< D, unsigned int >::const_iterator res = dof2glob_map.find(Lj); if ( res == dof2glob_map.end() ) { throw std::runtime_error("In glob_index(Lj): Not found"); } return res->second; } template D DofT::glob_dof(unsigned int j) const { if ( !create_glob2dof_map ) { throw std::runtime_error("This structure has not been created, you must turn on the create_glob2dof_map flag before initialization!"); } typename std::map::const_iterator iter = glob2dof_map.find(j); if ( iter == glob2dof_map.end() ) { //throw std::runtime_error("In glob_dof(j): Not found"); std::cerr << "In glob_dof(j): Not found" << std::endl; return D(); } return iter->second; } template void DofT::glob2loc(unsigned int j, vector_ii & loc) const { if ( !create_glob2loc_map ) { throw std::runtime_error("This structure has not been created, you must turn on the create_glob2loc_map flag before initialization!"); } typename std::map::const_iterator it = glob2loc_map.find(j); vector_ii::const_iterator b = it->second.begin(); vector_ii::const_iterator e = it->second.end(); loc.assign( b, e ); } template void DofT::build_loc2glob() { if(create_loc2glob_array) { std::cerr << "WARNING: Calling build_loc2glob with create_loc2glob_array == true makes little sense." << std::endl; std::cerr << " Doing nothing now. Check your program logic." << std::endl; return; } if(!create_loc2glob_map) { throw std::runtime_error("This structure has not been created, you must turn on the create_loc2glob_map flag before initialization!"); } loc2glob_array = create_shared_array(_num_elements * _local_dimension); typename std::map< pair_ii, unsigned int >::iterator iter; unsigned int * l2g = loc2glob_array.get(); for(iter = loc2glob_map.begin(); iter != loc2glob_map.end(); iter++) { unsigned int e = iter->first.first; unsigned int j = iter->first.second; unsigned int k = e * _local_dimension + j; l2g[k] = iter->second; } } } // namespace sfc #endif """ implementation = "" syfi-1.0.0.dfsg.orig/site-packages/sfc/dofcode/Dof_Ptv.py0000644000175000017500000000031011672223006023025 0ustar johannrjohannr header = """ #ifndef SFC_DOF_PTV_IS_INCLUDED #define SFC_DOF_PTV_IS_INCLUDED #include "DofT.h" #include "Ptv.h" namespace sfc { typedef DofT Dof_Ptv; } #endif """ implementation = "" syfi-1.0.0.dfsg.orig/site-packages/sfc/dofcode/Ptv.py0000644000175000017500000001250611672223006022247 0ustar johannrjohannr header = """ #ifndef SFC_PTV_IS_INCLUDED #define SFC_PTV_IS_INCLUDED #include #include namespace sfc { class Ptv { public: unsigned int dim; double* v; static double tol; public: Ptv(); Ptv(unsigned int size_); Ptv(unsigned int size_, double* v_); Ptv(double x, double y); Ptv(double x, double y, double z); Ptv(const Ptv& p); ~Ptv(); void redim(unsigned int size_, double *v_); void redim(unsigned int size_); void fill(double *v_); const unsigned int size() const { return dim; } double* getPtr() { return v; } const double& operator [] (unsigned int i) const; double& operator [] (unsigned int i); Ptv& operator = (const Ptv& p); bool less(const Ptv& p) const; bool operator<(const Ptv& rh) const { return less(rh); } // friend std::ostream & operator<< ( std::ostream& os, const Ptv& p); }; /* struct Ptv_is_less : public std::binary_function { bool operator() (const sfc::Ptv &lh, const sfc::Ptv &rh) const { return lh.less(rh); } }; */ /* class Ptv_match : public std::unary_function { protected: static double tol; unsigned int d; double v; public: Ptv_match(); Ptv_match(unsigned int d_, double v_); virtual ~Ptv_match() {} bool operator() (const Ptv &p); }; */ } // namespace sfc std::ostream & operator<< ( std::ostream& os, const sfc::Ptv& p); #endif """ implementation = """ #include "Ptv.h" #include #include #include using std::ostream; using std::endl; using namespace sfc; double Ptv::tol = 1.0e-9; //double Ptv_match::tol = 1.0e-9; //double Ptv::tol = .0; //double Ptv_match::tol = .0; Ptv::Ptv(): dim(0) { v = new double[0]; } Ptv::Ptv(double x, double y): dim(2) { v = new double[dim]; v[0] = x; v[1] = y; } Ptv::Ptv(double x, double y, double z): dim(3) { v = new double[dim]; v[0] = x; v[1] = y; v[2] = z; } Ptv::Ptv(unsigned int size_): dim(size_) { v = new double[dim]; for (unsigned int i=0; i< dim; ++i) { v[i] = 0.0; } } // FIXME: // The constructor which takes unsigned int, double* could/should work // on the double* provided instead of creating a copy. // This however affects the destructor. Since Ptv should // not delete memory. // We could introduce a bool external_storage in Ptv which // is used as a test in the destructor. Ptv::Ptv(unsigned int size_, double* v_): dim(size_) { v = new double[dim]; for (unsigned int i=0; i< dim; ++i) { v[i] = v_[i]; } } Ptv::Ptv(const Ptv& p) { dim = p.size(); v = new double[dim]; for (unsigned int i=0; i< dim; ++i) { v[i] = p[i]; } } Ptv::~Ptv() { delete [] v; } void Ptv::redim(unsigned int size, double* v_) { if (dim != size ) { delete [] v; dim = size; v = new double[dim]; } for (unsigned int i=0; i< dim; ++i) { v[i] = v_[i]; } } void Ptv::redim(unsigned int size) { if (dim != size ) { delete [] v; dim = size; v = new double[dim]; } for (unsigned int i=0; i< dim; ++i) { v[i] = 0.0; } } void Ptv::fill(double* v_) { for (unsigned int i=0; i< dim; ++i) { v[i] = v_[i]; } } const double& Ptv::operator [] (unsigned int i) const { // FIXME: should be possible to turn off at compile time if ( i < 0 || i >= dim ) { throw std::out_of_range("The index is out of range!"); } return v[i]; } double& Ptv::operator [] (unsigned int i) { // FIXME: should be possible to turn off at compile time if ( i < 0 || i >= dim ) { throw std::out_of_range("The index is out of range!"); } return v[i]; } Ptv& Ptv::operator = (const Ptv& p) { if ( this != &p) { if ( dim != p.dim) { delete [] v; dim = p.dim; v = new double[dim]; } for (unsigned int i=0; i< dim; ++i) { v[i] = p[i]; } } return *this; } inline bool less_with_tol(double a, double b, double tol) { return a + tol < b - tol; } bool Ptv::less(const Ptv& p) const { /* if ( dim < p.dim ) return true; if ( dim > p.dim) return false; */ if ( dim != p.dim ) { throw std::runtime_error("Non-matching dimensions!"); } /* for (unsigned int i=dim-1; i>= 0; i--) { if ( v[i] + tol >= p[i] - tol && v[i] - tol <= p[i] + tol ) { } else if (v[i] + tol < p[i] - tol ) { return true; } else if ( v[i] - tol > p[i] + tol ) { return false; } } */ for (unsigned int i=0; i= 1) { os << "["; for (unsigned int i=0; i= p[d] && v - tol <= p[d] ) return true; else return false; } */ """ syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/0000755000175000017500000000000011674103625022511 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/__init__.py0000644000175000017500000000101211672223006024606 0ustar johannrjohannr from sfc.codegeneration.codegeneration import generate_code, compiler_input from sfc.codegeneration.codeformatting import indent, CodeFormatter from sfc.codegeneration.formcg import FormCG from sfc.codegeneration.dofmapcg import DofMapCG from sfc.codegeneration.finiteelementcg import FiniteElementCG from sfc.codegeneration.cellintegralcg import CellIntegralCG from sfc.codegeneration.exteriorfacetintegralcg import ExteriorFacetIntegralCG from sfc.codegeneration.interiorfacetintegralcg import InteriorFacetIntegralCG syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/finiteelementcg.py0000644000175000017500000005030711672223006026224 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::finite_element class. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-19 from itertools import izip import ufl import swiginac from sfc.codegeneration.codeformatting import indent, CodeFormatter, gen_switch, gen_token_assignments, gen_const_token_definitions from sfc.symbolic_utils import symbol, symbols, TempSymbolContext from sfc.geometry import gen_geometry_code from sfc.common import sfc_warning, sfc_assert, sfc_error, sfc_info def cse(*args): sfc_error("FIXME") class FiniteElementCG: """Code generator for ufc::finite_element implementations.""" def __init__(self, elementrep): self.rep = elementrep self.classname = elementrep.finite_element_classname self.signature = repr(self.rep.ufl_element) self.options = self.rep.options.code.finite_element self.DN_order = self.options.evaluate_basis_derivatives_order def hincludes(self): l = [] return l def cincludes(self): l = [] return l def generate_code_dict(self): # generate the code components: vars = { "classname" : self.classname, "constructor" : indent(self.gen_constructor()), "constructor_arguments" : indent(self.gen_constructor_arguments()), "initializer_list" : indent(self.gen_initializer_list()), "destructor" : indent(self.gen_destructor()), "create" : indent(self.gen_create()), "signature" : indent(self.gen_signature()), "cell_shape" : indent(self.gen_cell_shape()), "geometric_dimension" : indent(self.gen_geometric_dimension()), "topological_dimension" : indent(self.gen_topological_dimension()), "space_dimension" : indent(self.gen_space_dimension()), "value_rank" : indent(self.gen_value_rank()), "value_dimension" : indent(self.gen_value_dimension()), "map_from_reference_cell" : indent(self.gen_map_from_reference_cell()), "map_to_reference_cell" : indent(self.gen_map_to_reference_cell()), "evaluate_basis" : indent(self.gen_evaluate_basis()), "evaluate_basis_all" : indent(self.gen_evaluate_basis_all()), "evaluate_basis_derivatives" : indent(self.gen_evaluate_basis_derivatives()), "evaluate_basis_derivatives_all" : indent(self.gen_evaluate_basis_derivatives_all()), "evaluate_dof" : indent(self.gen_evaluate_dof()), "evaluate_dofs" : indent(self.gen_evaluate_dofs()), "interpolate_vertex_values" : indent(self.gen_interpolate_vertex_values()), "num_sub_elements" : indent(self.gen_num_sub_elements()), "create_sub_element" : indent(self.gen_create_sub_element()), "members" : indent(self.gen_members()), } return vars def generate_support_code(self): return "" def gen_constructor(self): return "" def gen_constructor_arguments(self): return "" def gen_initializer_list(self): return "" def gen_destructor(self): return "" def gen_create(self): code = "return new %s();" % self.classname return code def gen_signature(self): """const char* signature() const""" return 'return "%s";' % self.signature def gen_cell_shape(self): """shape cell_shape() const""" return "return ufc::%s;" % self.rep.cell.shape def gen_geometric_dimension(self): return "return %d;" % self.rep.cell.nsd def gen_topological_dimension(self): return "return %d;" % self.rep.cell.nsd def gen_space_dimension(self): """unsigned int space_dimension() const""" return "return %d;" % self.rep.local_dimension def gen_value_rank(self): """unsigned int value_rank() const""" return "return %d;" % self.rep.value_rank def gen_value_dimension(self): """unsigned int value_dimension(unsigned int i) const""" if self.rep.value_rank == 0: code = 'throw std::runtime_error("Rank 0 value has no dimension.");\n' #elif self.rep.value_rank == 1: # code = "return %d;" % self.rep.value_shape[0] else: dims = self.rep.value_shape cases = [(i, "return %d;" % d) for (i,d) in enumerate(dims)] code = gen_switch("i", cases) code += 'throw std::runtime_error("Invalid dimension for rank %d value.");\n' % self.rep.value_rank return code def gen_map_from_reference_cell(self): return 'throw std::runtime_error("Not implemented.");' # FIXME def gen_map_to_reference_cell(self): return 'throw std::runtime_error("Not implemented.");' # FIXME def gen_evaluate_basis(self): """void evaluate_basis(unsigned int i, double* values, const double* coordinates, const cell& c) const """ if not self.options.enable_evaluate_basis: return 'throw std::runtime_error("evaluate_basis not implemented.");' nsd = self.rep.cell.nsd nbf = self.rep.local_dimension value_shape = self.rep.value_shape value_size = self.rep.value_size if self.rep.ufl_element.family() == "Real": code = [] if value_size > 1: code += ["memset(values, 0, sizeof(double)*%d);" % value_size] code += ['values[i] = 1.0;'] return '\n'.join(code) # symbols for output values val_sym = symbols(["values[%d]" % d for d in range(value_size)]) # generate code body code = CodeFormatter() code += gen_geometry_code(nsd, detG=False, GinvT=True) coordinates = swiginac.matrix(nsd, 1, symbols(["coordinates[%d]" % i for i in range(nsd)])) xi = self.rep.GinvT.transpose().mul(coordinates - self.rep.p0).evalm() for i in range(nsd): code += "const double %s = %s;" % (("x","y","z")[i], xi[i].printc()) if value_size > 1: code += "memset(values, 0, sizeof(double)*%d);" % value_size code += "" # begin switch if nbf>1: code.begin_switch("i") # generate one case for each basis function for i in range(nbf): # make token list for basis function i values = [] for c in self.rep.value_components: values.append( self.rep.basis_function(i, c) ) values_tokens = [] for d in range(value_size): if not values[d].expand().is_zero(): values_tokens.append( (val_sym[d], values[d]) ) # now values_tokens is a token list with "values[i] = expression" for all output values if self.options.optimize_basis: # split tokens into temporary variables (1) and output variables (2) temp_symbol = TempSymbolContext() values_tokens1 = [] values_tokens2 = [] for s, e in values_tokens: # handle s = e: ts = temp_symbol() # construct ts values_tokens1.append( (ts, e) ) # set ts = e values_tokens2.append( (s, ts) ) # set s = ts values_tokens = None # optimize temporary variable list values_tokens1, repmap = cse(values_tokens1, temp_symbol) # generate code values_code = gen_const_token_definitions(values_tokens1) + "\n" values_code += gen_token_assignments(values_tokens2) #values_codelines= chain(const_token_definitions(values_tokens1), token_assignments(values_tokens2)) else: values_code = gen_token_assignments(values_tokens) #values_codelines = token_assignments(values_tokens) # generate case code if nbf>1: code.begin_case(i, braces=True) code.new_line( indent(values_code) ) code.end_case() #with code.case(i, braces=True): # code.add_lines(values_codelines) else: code += values_code if nbf>1: code.end_switch() return str(code) def gen_evaluate_basis_all(self): # TODO: implement optimized version of this """/// Evaluate all basis functions at given point in cell virtual void evaluate_basis_all(double* values, const double* coordinates, const cell& c) const """ code = CodeFormatter() code += "for(unsigned i = 0; i < %d; i++)" % self.rep.local_dimension code.begin_block() code += "evaluate_basis(i, values+i*%d, coordinates, c);" % self.rep.value_size code.end_block() return str(code) def gen_evaluate_basis_derivatives(self): """/// Evaluate order n derivatives of basis function i at given point in cell void evaluate_basis_derivatives(unsigned int i, unsigned int n, double* values, const double* coordinates, const ufc::cell& c) const """ if not self.options.enable_evaluate_basis_derivatives: return 'throw std::runtime_error("evaluate_basis_derivatives not implemented.");' nsd = self.rep.cell.nsd nbf = self.rep.local_dimension value_shape = self.rep.value_shape value_size = self.rep.value_size if self.rep.ufl_element.family() == "Real": return '\n'.join('values[%d] = 0.0;' % d for d in range(value_size)) sfc_assert(self.DN_order <= 2, "Don't support computing higher order derivatives (yet).") code = CodeFormatter() code.begin_if("n > 2") code += 'throw std::runtime_error("evaluate_basis_derivatives not implemented for the wanted derivative order.");' code.end_if() # define GinvT code += gen_geometry_code(nsd, detG=False, GinvT=True) # define x,y,z (spatial symbols) p = symbols(["x", "y", "z"][:nsd]) coords = symbols(["coordinates[%d]" % i for i in range(nsd)]) code += gen_const_token_definitions( izip(p, coords) ) # switch on derivative order code.begin_switch("n") for order in range(1, self.DN_order+1): code.begin_case(order, braces=True) # zero output array before filling nonzeros num_derivatives = nsd ** order do_memset = (value_size*num_derivatives) > 6 if do_memset: code += "memset(values, 0, sizeof(double) * %d * %d);" % (value_size, num_derivatives) code += "" # switch on basis function number code.begin_switch("i") for ibf in range(nbf): code.begin_case(ibf, braces=True) temp_symbol = TempSymbolContext() DN_tokens = [] all_directions = ufl.permutation.compute_permutations(self.DN_order, nsd) for (j,directions) in enumerate(all_directions): for (k,c) in enumerate(self.rep.value_components): DN = self.rep.basis_function_derivative(ibf, c, directions) # DN is now the expression for the derivative wrt directions of component c of basis function ibf if not (do_memset and DN.expand().is_zero()): values_sym = symbol("values[%d * %d + %d]" % (j, value_size, k)) DN_tokens.append( (values_sym, DN) ) if self.options.optimize_basis: # split tokens into temporary variables and output variables DN_tokens1 = [] DN_tokens2 = [] for s, e in DN_tokens: # s = e ts = temp_symbol() # -> DN_tokens1.append( (ts, e) ) # ts = e DN_tokens2.append( (s, ts) ) # s = ts # optimize temporary variable list DN_tokens1, repmap = cse(DN_tokens1, temp_symbol) # generate code code += gen_const_token_definitions(DN_tokens1) code += gen_token_assignments(DN_tokens2) else: code += gen_token_assignments(DN_tokens) code.end_case() code.end_switch() code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Derivatives of this order are not supported in evaluate_basis_derivatives.");' code.dedent() code.end_switch() return str(code) def gen_evaluate_basis_derivatives_all(self): # TODO: implement optimized version of this """/// Evaluate order n derivatives of all basis functions at given point in cell virtual void evaluate_basis_derivatives_all(unsigned int n, double* values, const double* coordinates, const cell& c) const """ code = CodeFormatter() code.begin_switch("n") for order in range(1, self.DN_order+1): code.begin_case(order, braces=True) offset = self.rep.value_size * (self.rep.cell.nsd ** order) code += "for(unsigned i = 0; i < %d; i++)" % self.rep.local_dimension code.begin_block() code += "evaluate_basis_derivatives(n, i, values+i*%d, coordinates, c);" % offset code.end_block() code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Derivatives of this order are not implemented in evaluate_basis_derivatives_all.");' code.dedent() code.end_switch() return str(code) def gen_evaluate_dof(self): """double evaluate_dof(unsigned int i, const function& f, const cell& c) const This implementation is general for all elements with point evaluation dofs. TODO: Implement support for normal and tangential component dofs. TODO: Implement for elements without point evaluation dofs. """ # some useful variables nsd = self.rep.cell.nsd nbf = self.rep.local_dimension # initial code code = CodeFormatter() code.new_text( gen_geometry_code(nsd, detG=False) ) code += "double v[%d];" % self.rep.value_size code += "double x[%d];" % nsd # fill global coordinates of dof in x[] if nbf == 1: # skip the switch if only one basis function for k in range(nsd): code += "x[%d] = %s;" % (k, self.rep.dof_x[0][k].printc()) else: code.begin_switch("i") for i in range(nbf): code.begin_case(i) # compute dof coordinate i for k in range(nsd): code += "x[%d] = %s;" % (k, self.rep.dof_x[i][k].printc()) code.end_case() code.end_switch() # Evaluate the function (this evaluates all value components!) code += "f.evaluate(v, x, c);" # dofs for a single sub element are numbered contiguously: # i = (nbf / valsize) * value_component if nbf == 1: code += "return v[0];" else: code += "return v[i / %d];" % (nbf // self.rep.value_size) return str(code) def gen_evaluate_dofs(self): # TODO: implement optimized version of this """/// Evaluate linear functionals for all dofs on the function f virtual void evaluate_dofs(double* values, const function& f, const cell& c) const """ code = CodeFormatter() code += "for(unsigned i=0; i<%d; i++)" % self.rep.local_dimension code.begin_block() code += "values[i] = evaluate_dof(i, f, c);" code.end_block() return str(code) def gen_interpolate_vertex_values(self): """void interpolate_vertex_values(double* vertex_values, const double* dof_values, const cell& c) const """ # some helper variables nbf = self.rep.local_dimension nsd = self.rep.cell.nsd nv = self.rep.cell.num_entities[0] value_size = self.rep.value_size value_shape = self.rep.value_shape # symbols for input array entries dof_values_sym = symbols("dof_values[%d]" % i for i in xrange(nbf)) vertex_values_sym = symbols("vertex_values[%d]" % i for i in xrange(nv*value_size)) # the spatial symbols u is expressed in p = self.rep.p # construct expressions for the linear combinations of basis functions u = [] for component in self.rep.value_components: u.append( sum(self.rep.basis_function(j, component)*dof_values_sym[j] for j in range(nbf)) ) # for each vertex vertex_values = [] repmap = swiginac.exmap() for i in range(nv): # replacement map for coordinates vx = self.rep.polygon.vertex(i) for k in range(nsd): repmap[p[k]] = vx[k] # evaluate functions for each component in coordinate for uval in u: vertex_values.append(uval.subs(repmap)) code = gen_token_assignments( izip(vertex_values_sym, vertex_values) ) return code def gen_num_sub_elements(self): """unsigned int num_sub_elements() const""" return "return %d;" % len(self.rep.sub_elements) def gen_create_sub_element(self): """finite_element* create_sub_element(unsigned int i) const""" if len(self.rep.sub_elements) > 1: code = CodeFormatter() code.begin_switch("i") for i, fe in enumerate(self.rep.sub_elements): code += "case %d: return new %s();" % (i, fe.finite_element_classname) code.end_switch() code += 'throw std::runtime_error("Invalid index in create_sub_element.");' else: code = "return new %s();" % self.classname # FIXME: Should we throw error here instead now? return str(code) def gen_members(self): return "" #code = CodeFormatter() #code += "public:"; #code += "protected:"; #code.indent() #code += "unsigned int foo = 0;" #code.dedent() #return str(code) syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/dofmapcg.py0000644000175000017500000005174411672223006024650 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::dofmap class. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-05-14 import ufl from sfc.codegeneration.codeformatting import indent, CodeFormatter, gen_token_assignments from sfc.geometry import gen_geometry_code from sfc.symbolic_utils import symbol, symbols from sfc.common import sfc_assert, sfc_error, sfc_warning, sfc_info class DofMapCG: def __init__(self, elementrep): self.rep = elementrep self.classname = elementrep.dof_map_classname self.signature = repr(self.rep.ufl_element) self.options = self.rep.options.code.dof_map if self.options.enable_dof_ptv: # variables for full initialization by construction, reused a few places: vars = ["global_component_stride", "loc2glob_size"] self.constructor_vars = vars self.constructor_arg_string = ", ".join(["unsigned int %s_" % v for v in vars]) self.constructor_arg_string2 = ", ".join(vars) def hincludes(self): l = [] if self.options.enable_dof_ptv: l.extend(["Ptv.h", "DofT.h", "Dof_Ptv.h"]) return l def cincludes(self): l = [] return l def generate_code_dict(self): vars = { 'classname' : self.classname, 'constructor' : indent(self.gen_constructor()), "constructor_arguments" : indent(self.gen_constructor_arguments()), "initializer_list" : indent(self.gen_initializer_list()), 'destructor' : indent(self.gen_destructor()), "create" : indent(self.gen_create()), 'signature' : indent(self.gen_signature()), 'needs_mesh_entities' : indent(self.gen_needs_mesh_entities()), 'init_mesh' : indent(self.gen_init_mesh()), 'init_cell' : indent(self.gen_init_cell()), 'init_cell_finalize' : indent(self.gen_init_cell_finalize()), 'global_dimension' : indent(self.gen_global_dimension()), 'local_dimension' : indent(self.gen_local_dimension()), 'max_local_dimension' : indent(self.gen_max_local_dimension()), 'geometric_dimension' : indent(self.gen_geometric_dimension()), "topological_dimension" : indent(self.gen_topological_dimension()), 'num_facet_dofs' : indent(self.gen_num_facet_dofs()), 'num_entity_dofs' : indent(self.gen_num_entity_dofs()), 'tabulate_dofs' : indent(self.gen_tabulate_dofs()), 'tabulate_facet_dofs' : indent(self.gen_tabulate_facet_dofs()), 'tabulate_entity_dofs' : indent(self.gen_tabulate_entity_dofs()), 'tabulate_coordinates' : indent(self.gen_tabulate_coordinates()), 'num_sub_dofmaps' : indent(self.gen_num_sub_dofmaps()), 'create_sub_dofmap' : indent(self.gen_create_sub_dofmap()), 'members' : indent(self.gen_members()), } return vars def gen_constructor(self): return "" def gen_constructor_arguments(self): return "" def gen_initializer_list(self): return "" def gen_destructor(self): return "" def gen_create(self): code = "return new %s();" % self.classname return code def gen_signature(self): """const char* signature() const""" return 'return "%s";' % self.signature def gen_needs_mesh_entities(self): """bool needs_mesh_entities(unsigned int d) const""" if self.rep.ufl_element.family() == "Real": return 'return false;' # pick the mesh entities we need needs = tuple( [ ('true' if n else 'false') for n in self.rep.num_entity_dofs] ) # return false when a type of mesh entities are not needed code = CodeFormatter() code.begin_switch("d") for i, n in enumerate(needs): code += "case %d: return %s;" % (i, n) code.end_switch() code += 'throw std::runtime_error("Invalid dimension in needs_mesh_entities.");' return str(code) def gen_init_mesh(self): """bool init_mesh(const mesh& m)""" nsd = self.rep.cell.nsd if self.rep.ufl_element.family() == "Real": return 'return false;' if not self.options.enable_dof_ptv: # compute and store global dimension num_entities = symbols(["m.num_entities[%d]" % i for i in range(nsd+1)]) global_dimension = sum(self.rep.num_entity_dofs[i]*num_entities[i] for i in range(nsd+1)) code = '_global_dimension = %s;\n' % global_dimension.printc() code += "return false;" return code # This code doesn't work for general mixed elements! if isinstance(self.rep.ufl_element, ufl.MixedElement): assert isinstance(self.rep.ufl_element, (ufl.VectorElement, ufl.TensorElement)) local_component_stride = (self.rep.local_dimension // len(self.rep.sub_elements)) code= CodeFormatter() code += "// allocating space for loc2glob map" code += "dof.init(m.num_entities[%d], %d);" % (nsd, local_component_stride) code += "loc2glob_size = m.num_entities[%d] * %d;\n" % (nsd, local_component_stride) code += "return true;" return str(code) def gen_init_cell(self): """void init_cell(const mesh& m, const cell& c)""" if not self.options.enable_dof_ptv: return "" if self.rep.ufl_element.family() == "Real": return "" # FIXME: This code needs updating, e.g. it doesn't handle mixed elements. #fe = self.rep.syfi_element nsd = self.rep.cell.nsd nbf = self.rep.local_dimension code = CodeFormatter() code.new_text( gen_geometry_code(nsd, detG=False) ) code += "unsigned int element = c.entity_indices[%d][0];" % (nsd) nsc = len(self.rep.sub_elements) if nsc > 1: code += "// ASSUMING HERE THAT THE DOFS FOR EACH SUB COMPONENT ARE GROUPED" code += "// Only counting and numbering dofs for a single sub components" for i in range(nbf // nsc): x_strings = [self.rep.dof_x[i][d].printc() for d in range(nsd)] dof_vals = ", ".join( x_strings ) num_dof_vals = nsd if nsc > 1: assert nsc == self.rep.value_size # This code could be useful later if for some reason we need to revert # to the old numbering scheme where sub component dofs are intertwined: #dofi = fe.dof(i) #assert isinstance(dofi[0], list) #for d in dofi[1:]: # dof_vals += ", " + d.printc() # num_dof_vals += 1 code += "" code += "double dof%d[%d] = { %s };" % (i, num_dof_vals, dof_vals) code += "Ptv pdof%d(%d, dof%d);" % (i, num_dof_vals, i) code += "dof.insert_dof(element, %d, pdof%d);" % (i, i) return str(code) def gen_init_cell_finalize(self): """void init_cell_finalize()""" if self.rep.ufl_element.family() == "Real": return "" code = "" if self.options.enable_dof_ptv: #code += "dof.build_loc2glob();\n" code += "loc2glob = dof.get_loc2glob_array();\n" # constant for tabulating vector element dofs from a scalar element numbering code += "global_component_stride = dof.global_dimension();\n" # store global dimension code += '_global_dimension = global_component_stride * %d;\n' % len(self.rep.sub_elements) # clear temporary datastructures code += 'dof.clear();\n' return code def gen_global_dimension(self): """unsigned int global_dimension() const""" if self.rep.ufl_element.family() == "Real": return 'return %d;' % self.rep.value_size return 'return _global_dimension;' def gen_local_dimension(self): """unsigned int local_dimension(const cell& c) const""" return 'return %d;' % self.rep.local_dimension def gen_max_local_dimension(self): """unsigned int max_local_dimension() const""" return 'return %d;' % self.rep.local_dimension def gen_geometric_dimension(self): """unsigned int geometric_dimension() const""" return 'return %d;' % self.rep.cell.nsd def gen_topological_dimension(self): return "return %d;" % self.rep.cell.nsd def gen_num_facet_dofs(self): """unsigned int num_facet_dofs() const""" return "return %d;" % self.rep.num_facet_dofs def gen_num_entity_dofs(self): """unsigned int num_entity_dofs(unsigned int d) const""" if self.rep.ufl_element.family() == "Real": return 'return 0;' code = CodeFormatter() code.begin_switch("d") for i in range(self.rep.cell.nsd+1): code.begin_case(i) code += "return %d;" % self.rep.num_entity_dofs[i] code.end_case() code.end_switch() code += 'throw std::runtime_error("Invalid entity dimension.");' return str(code) def gen_tabulate_dofs(self): if self.rep.ufl_element.family() == "Real": return '\n'.join('dofs[%d] = %d;' % (i, i) for i in range(self.rep.value_size)) if self.options.enable_dof_ptv: return self.gen_tabulate_dofs__dof_ptv() else: return self.gen_tabulate_dofs__implicit() def gen_tabulate_dofs__implicit(self): """void tabulate_dofs(unsigned int* dofs, const mesh& m, const cell& c) const""" code = CodeFormatter() cell = self.rep.cell nsd = cell.nsd # symbols referencing entity index arrays mesh_num_entities = symbols("m.num_entities[%d]" % d for d in range(nsd+1)) cell_entity_indices = [] for d in range(nsd+1): cell_entity_indices += [symbols( "c.entity_indices[%d][%d]" % (d, i) for i in range(cell.num_entities[d]) )] def iter_sub_elements(rep): "Flatten the sub element hierarchy into a list." if rep.sub_elements: for r in rep.sub_elements: for s in iter_sub_elements(r): yield s else: yield rep # (A) Iterate over all basic elements in order local_subelement_offset = 0 global_subelement_offset = symbol("global_subelement_offset") code += "int %s = 0;" % global_subelement_offset for rep in iter_sub_elements(self.rep): # (B) Loop over entity dimensions d in order local_entity_offset = 0 global_entity_offset = 0 tokens = [] for d in range(nsd+1): # The offset for dofs in this loop is (global_subelement_offset + global_entity_offset) # (C) Loop over entities (d,i) in order for i in range(cell.num_entities[d]): # this is the global mesh index of cell entity (d,i) entity_index = cell_entity_indices[d][i] # For each entity (d,i) we have a list of dofs entity_dofs = rep.entity_dofs[d][i] sfc_assert(len(entity_dofs) == rep.num_entity_dofs[d], "Inconsistency in entity dofs.") for (j,dof) in enumerate(entity_dofs): local_value = entity_index * rep.num_entity_dofs[d] + j value = global_subelement_offset + global_entity_offset + local_value name = symbol("dofs[%d]" % (local_subelement_offset + dof)) tokens.append((name, value)) # (B) Accumulate offsets to dofs on entities of dimension d local_entity_offset += cell.num_entities[d] * rep.num_entity_dofs[d] global_entity_offset += mesh_num_entities[d] * rep.num_entity_dofs[d] # (A) Accumulate subelement offsets sfc_assert(rep.local_dimension == len(tokens), "Collected too few dof tokens!") local_subelement_offset += rep.local_dimension global_subelement_size = global_entity_offset code.begin_block() code += "// Subelement with signature: %s" % rep.signature code += gen_token_assignments(tokens) code += "%s += %s;" % (global_subelement_offset.printc(), global_subelement_size.printc()) code.end_block() sfc_assert(local_subelement_offset == self.rep.local_dimension, "Dof computation didn't accumulate correctly!") return str(code) def gen_tabulate_dofs__dof_ptv(self): """void tabulate_dofs(unsigned int* dofs, const mesh& m, const cell& c) const""" if isinstance(self.rep.ufl_element, ufl.MixedElement): assert isinstance(self.rep.ufl_element, (ufl.VectorElement, ufl.TensorElement)) local_component_stride = (self.rep.local_dimension // len(self.rep.sub_elements)) code = CodeFormatter() code += "const unsigned int global_element_offset = %d * c.entity_indices[%d][0];" % (local_component_stride, self.rep.cell.nsd) code += "const unsigned int *scalar_dofs = loc2glob.get() + global_element_offset;" code += "for(unsigned int iloc=0; iloc<%d; iloc++)" % local_component_stride code.begin_block() code += "const unsigned int global_scalar_dof = scalar_dofs[iloc];" for i in range(len(self.rep.sub_elements)): code += "dofs[iloc + %d * %d] = global_scalar_dof + global_component_stride * %d;" % (local_component_stride, i, i) code.end_block() return str(code) def gen_tabulate_facet_dofs(self): """void tabulate_facet_dofs(unsigned int* dofs, unsigned int facet) const This implementation should be general for elements with point evaluation dofs on simplices. """ if self.rep.ufl_element.family() == "Real": return 'throw std::runtime_error("tabulate_facet_dofs not implemented for Real elements.");' # generate code for each facet: for each facet i, tabulate local dofs[j] code = CodeFormatter() code.begin_switch("facet") for i, fd in enumerate(self.rep.facet_dofs): code.begin_case(i) for j, d in enumerate(fd): code += "dofs[%d] = %d;" % (j, d) code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Invalid facet number.");' code.dedent() code.end_switch() return str(code) def gen_tabulate_entity_dofs(self): """void tabulate_entity_dofs(unsigned int* dofs, unsigned int d, unsigned int i) const """ if self.rep.ufl_element.family() == "Real": return 'throw std::runtime_error("tabulate_entity_dofs not implemented for Real elements.");' code = CodeFormatter() # define one case for each cell entity (d, i) code.begin_switch("d") for d in range(self.rep.cell.nsd+1): if any(self.rep.entity_dofs[d]): code.begin_case(d) code.begin_switch("i") n = self.rep.cell.num_entities[d] for i in range(n): # get list of local dofs associated with cell entity (d, i) dofs_on_entity = self.rep.entity_dofs[d][i] sfc_assert(len(dofs_on_entity) == self.rep.num_entity_dofs[d], "Inconsistency in entity dofs.") code.begin_case(i) for k, ed in enumerate(dofs_on_entity): code += "dofs[%d] = %d;" % (k, ed) code.end_case() code.end_switch() code.end_case() code.end_switch() return str(code) def gen_tabulate_coordinates(self): """void tabulate_coordinates(double** coordinates, const cell& c) const""" if self.rep.ufl_element.family() == "Real": return 'throw std::runtime_error("tabulate_coordinates not implemented for Real elements.");' code = CodeFormatter() code += gen_geometry_code(self.rep.cell.nsd, detG=False) for i in range(self.rep.local_dimension): for k in range(self.rep.cell.nsd): # generate code to compute component k of the coordinate for dof i code += "coordinates[%d][%d] = %s;" % (i, k, self.rep.dof_x[i][k].printc()) return str(code) def gen_num_sub_dofmaps(self): """unsigned int num_sub_dofmaps() const""" return "return %d;" % len(self.rep.sub_elements) def gen_create_sub_dofmap(self): """dofmap* create_sub_dofmap(unsigned int i) const""" if self.options.enable_dof_ptv: if len(self.rep.sub_elements) > 1: code = CodeFormatter() code.begin_switch("i") for i, fe in enumerate(self.rep.sub_elements): code += "case %d: return new %s(loc2glob, %s);" % (i, fe.dof_map_classname, self.constructor_arg_string2) code.end_switch() code += 'throw std::runtime_error("Invalid index in create_sub_dofmap.");' else: code = "return new %s(loc2glob, %s);" % (self.classname, self.constructor_arg_string2) else: if len(self.rep.sub_elements) > 1: code = CodeFormatter() code.begin_switch("i") for i, fe in enumerate(self.rep.sub_elements): code += "case %d: return new %s();" % (i, fe.dof_map_classname) code.end_switch() code += 'throw std::runtime_error("Invalid index in create_sub_dofmap.");' else: code = "return new %s();" % self.classname # FIXME: Should we throw error here instead now? return str(code) def gen_members(self): cell = self.rep.cell nsd = cell.nsd code = CodeFormatter() # dof data structures #code += "protected:" code += "public:" code.indent() if self.rep.ufl_element.family() != "Real": code += "unsigned int _global_dimension;" if self.options.enable_dof_ptv: code += "Dof_Ptv dof;" code += "std::tr1::shared_ptr loc2glob;" code += "unsigned int global_component_stride;" # for tabulating vector element dofs from a scalar element numbering code += 'unsigned int loc2glob_size;' code.dedent() if self.options.enable_dof_ptv: # add additional constructor to pass initialization info to share initialized dofmap memory code += "public:" code.indent() args = self.constructor_arg_string code += "%s(std::tr1::shared_ptr loc2glob, %s);" % (self.classname, args) code.dedent() return str(code) def generate_support_code(self): """Generate local utility functions.""" nsd = self.rep.cell.nsd code = CodeFormatter() #code += "namespace { // local namespace" #code += " // code private to this compilation unit (.cpp file) goes here" #code += "} // end local namespace" #code += "" if self.options.enable_dof_ptv: # Implement additional constructor for shared memory between initializated dofmaps code += "%s::%s(std::tr1::shared_ptr loc2glob_, %s):" % (self.classname, self.classname, self.constructor_arg_string) code.indent() code += "loc2glob(loc2glob_)," for v in self.constructor_vars[:-1]: code += "%s(%s_)," % (v, v) v = self.constructor_vars[-1] code += "%s(%s_)" % (v, v) code.dedent() return str(code) syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/interiorfacetintegralcg.py0000644000175000017500000000302511672223006027753 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::interior_integral class. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2008-12-18 from sfc.common.output import sfc_error from sfc.codegeneration.integralcg import IntegralCG class InteriorFacetIntegralCG(IntegralCG): def __init__(self, itgrep): IntegralCG.__init__(self, itgrep) def gen_constructor(self): return "" def gen_destructor(self): return "" def gen_members(self): return "" def gen_tabulate_tensor_symbolic(self): return 'throw std::runtime_error("tabulate_tensor for interior facet integrals not implemented");' def gen_tabulate_tensor_quadrature(self): return 'throw std::runtime_error("tabulate_tensor for interior facet integrals not implemented");' syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/codegeneration.py0000644000175000017500000004405411672223006026052 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ Codegeneration utilities. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-08-13 # Last changed: 2009-05-15 from itertools import chain import re import ufl import ufc_utils import SyFi from ufl.classes import Measure from ufl.algorithms import FormData, preprocess from dolfin_utils.wrappers import generate_dolfin_code, UFCFormNames from sfc.common.utilities import unique from sfc.common.output import sfc_assert, sfc_error, sfc_info, sfc_debug #from sfc.common import ParameterDict from sfc.common.options import default_parameters from sfc.representation import ElementRepresentation, FormRepresentation, \ CellIntegralRepresentation, ExteriorFacetIntegralRepresentation, \ InteriorFacetIntegralRepresentation from sfc.codegeneration.formcg import FormCG from sfc.codegeneration.dofmapcg import DofMapCG from sfc.codegeneration.finiteelementcg import FiniteElementCG from sfc.codegeneration.cellintegralcg import CellIntegralCG from sfc.codegeneration.exteriorfacetintegralcg import ExteriorFacetIntegralCG from sfc.codegeneration.interiorfacetintegralcg import InteriorFacetIntegralCG # version %(version)s _header_template = r"""/* * %(name)s.h * * This file was automatically generated by SFC. * * http://www.fenics.org/syfi/ * */ #ifndef GENERATED_SFC_CODE_%(name)s #define GENERATED_SFC_CODE_%(name)s #include "ufc.h" %(includes)s //namespace sfc //{ %(body)s //} #endif """ # version %(version)s _implementation_template = r"""/* * %(name)s.cpp * * This file was automatically generated by SFC. * * http://www.fenics.org/syfi/ * */ #include "ufc.h" #include "%(name)s.h" %(includes)s //namespace sfc //{ %(body)s //} """ def common_system_headers(): return ("iostream", "cmath", "stdexcept", "cstring") def apply_code_dict(format_string, code_dict): "Template formatting with improved checking for template argument mismatch." expected_keys = set(re.findall('%\((\w+)\)', format_string)) actual_keys = set(code_dict.keys()) missing_keys = expected_keys.difference(actual_keys) if missing_keys: print "When formatting code using template, missing keys:" print "\n".join(sorted(missing_keys)) print #superfluous_keys = actual_keys.difference(expected_keys) #if superfluous_keys: # print "When formatting code using template, got superfluous keys:" # print "\n".join(sorted(superfluous_keys)) # print return format_string % code_dict def generate_finite_element_code(ferep): sfc_debug("Entering generate_finite_element_code") classname = ferep.finite_element_classname cg = FiniteElementCG(ferep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() hcode = apply_code_dict(ufc_utils.finite_element_header, code_dict) ccode = supportcode + "\n"*3 ccode += apply_code_dict(ufc_utils.finite_element_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() local_headers = unique("%s.h" % e.finite_element_classname for e in ferep.sub_elements) hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s"' % inc for inc in chain(cg.cincludes(), local_headers)) hcode = _header_template % { "body": hcode, "name": classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": classname, "includes": cincludes } sfc_debug("Leaving generate_finite_element_code") return classname, (hcode, ccode), includes def generate_dof_map_code(ferep): sfc_debug("Entering generate_dof_map_code") classname = ferep.dof_map_classname cg = DofMapCG(ferep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() hcode = apply_code_dict(ufc_utils.dofmap_header, code_dict) ccode = supportcode + "\n"*3 ccode += apply_code_dict(ufc_utils.dofmap_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() local_headers = unique("%s.h" % e.dof_map_classname for e in ferep.sub_elements) hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s"' % inc for inc in chain(cg.cincludes(), local_headers)) hcode = _header_template % { "body": hcode, "name": classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": classname, "includes": cincludes } sfc_debug("Leaving generate_dof_map_code") return classname, (hcode, ccode), includes def generate_cell_integral_code(integrals, formrep): sfc_debug("Entering generate_cell_integral_code") itgrep = CellIntegralRepresentation(integrals, formrep) cg = CellIntegralCG(itgrep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() # TODO: Support code might be placed in unnamed namespace? hcode = apply_code_dict(ufc_utils.cell_integral_header, code_dict) ccode = supportcode + "\n"*3 + apply_code_dict(ufc_utils.cell_integral_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s"' % inc for inc in cg.cincludes()) hcode = _header_template % { "body": hcode, "name": itgrep.classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": itgrep.classname, "includes": cincludes } sfc_debug("Leaving generate_cell_integral_code") return itgrep.classname, (hcode, ccode), includes def generate_exterior_facet_integral_code(integrals, formrep): sfc_debug("Entering generate_exterior_facet_integral_code") itgrep = ExteriorFacetIntegralRepresentation(integrals, formrep) cg = ExteriorFacetIntegralCG(itgrep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() # TODO: Support code might be placed in unnamed namespace? hcode = apply_code_dict(ufc_utils.exterior_facet_integral_header, code_dict) ccode = supportcode + "\n"*3 + apply_code_dict(ufc_utils.exterior_facet_integral_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s"' % inc for inc in cg.cincludes()) hcode = _header_template % { "body": hcode, "name": itgrep.classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": itgrep.classname, "includes": cincludes } sfc_debug("Leaving generate_exterior_facet_integral_code") return itgrep.classname, (hcode, ccode), includes def generate_interior_facet_integral_code(integrals, formrep): sfc_debug("Entering generate_interior_facet_integral_code") itgrep = InteriorFacetIntegralRepresentation(integrals, formrep) cg = InteriorFacetIntegralCG(itgrep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() hcode = apply_code_dict(ufc_utils.interior_facet_integral_header, code_dict) ccode = supportcode + "\n"*3 + apply_code_dict(ufc_utils.interior_facet_integral_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s"' % inc for inc in cg.cincludes()) hcode = _header_template % { "body": hcode, "name": itgrep.classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": itgrep.classname, "includes": cincludes } sfc_debug("Leaving generate_interior_facet_integral_code") return itgrep.classname, (hcode, ccode), includes def generate_form_code(formrep): sfc_debug("Entering generate_form_code") cg = FormCG(formrep) code_dict = cg.generate_code_dict() supportcode = cg.generate_support_code() hcode = apply_code_dict(ufc_utils.form_header, code_dict) ccode = supportcode + "\n"*3 + apply_code_dict(ufc_utils.form_implementation, code_dict) includes = cg.hincludes() + cg.cincludes() system_headers = common_system_headers() local_headers = unique(chain(formrep.fe_names, formrep.dm_names, \ sorted(formrep.itg_names.values()), cg.cincludes())) hincludes = "\n".join('#include "%s"' % inc for inc in cg.hincludes()) cincludes = "\n".join('#include <%s>' % f for f in system_headers) cincludes += "\n" cincludes += "\n".join('#include "%s.h"' % f for f in local_headers) hcode = _header_template % { "body": hcode, "name": formrep.classname, "includes": hincludes } ccode = _implementation_template % { "body": ccode, "name": formrep.classname, "includes": cincludes } sfc_debug("Leaving generate_form_code") return (hcode, ccode), includes def write_file(filename, text): f = open(filename, "w") f.write(text) f.close() def write_code(classname, code): sfc_debug("Entering write_code") if isinstance(code, tuple): # Code is split in a header and implementation file hcode, ccode = code hname = classname + ".h" cname = classname + ".cpp" open(hname, "w").write(hcode) open(cname, "w").write(ccode) ret = (hname, cname) else: # All code is combined in a header file name = classname + ".h" open(name, "w").write(code) ret = (name,) sfc_debug("Leaving write_code") return ret def compiler_input(input, objects=None, common_cell=None): """Map different kinds of input to a list of UFL elements and a list of FormData instances. The following input formats are allowed: - ufl.Form - ufl.algorithms.FormData - ufl.FiniteElementBase - list of the above Returns: elements, formdatas """ sfc_debug("Entering compiler_input") sfc_assert(input, "Got no input!") fd = [] fe = [] if not isinstance(input, list): input = [input] for d in input: if isinstance(d, ufl.form.Form): d = d.compute_form_data(object_names=objects, common_cell=common_cell) if isinstance(d, ufl.algorithms.formdata.FormData): fd.append(d) fe.extend(d.sub_elements) elif isinstance(d, ufl.FiniteElementBase): if d.cell().is_undefined(): sfc_assert(common_cell and not common_cell.is_undefined(), "Element no defined cell, cannot compile this.") d = d.reconstruct(cell=common_cell) sfc_assert(not d.cell().is_undefined(), "Still undefined?") fe.append(d) else: sfc_error("Not a FormData or FiniteElementBase object: %s" % str(type(d))) fe = sorted(set(fe)) sfc_debug("Leaving compiler_input") for x in fe: sfc_assert(not x.cell().is_undefined(), "Can never have undefined cells at this point!") for x in fd: sfc_assert(not x.cell.is_undefined(), "Can never have undefined cells at this point!") return fe, fd dolfin_header_template = """/* * DOLFIN wrapper code generated by the SyFi Form Compiler. */ %s """ def generate_code(input, objects, options = None, common_cell=None): """Generate code from input and options. @param input: TODO @param options: TODO """ sfc_debug("Entering generate_code") if options is None: options = default_parameters() ufl_elements, formdatas = compiler_input(input, objects, common_cell=common_cell) filenames = [] needed_files = [] formnames = [] # Generate UFC code for elements element_reps = {} last_nsd = None generated_elements = set() for e in ufl_elements: # Initialize global variables in SyFi with the right space dimension (not very nice!) nsd = e.cell().geometric_dimension() if not nsd == last_nsd and isinstance(nsd, int): SyFi.initSyFi(nsd) last_nsd = nsd # Construct ElementRepresentation objects for all elements quad_rule = None # TODO: What to do with this one? assert not "Quadrature" in e.family() # No quadrature rule defined! if e in element_reps: continue erep = ElementRepresentation(e, quad_rule, options, element_reps) element_reps[e] = erep # Build flat list of all subelements todo = [erep] ereps = [] while todo: erep = todo.pop() # Skip already generated! if not erep.ufl_element in generated_elements: generated_elements.add(erep.ufl_element) ereps.append(erep) # Queue subelements for inspection for subrep in erep.sub_elements: todo.append(subrep) for erep in ereps: # Generate code for finite_element classname, code, includes = generate_finite_element_code(erep) filenames.extend( write_code(classname, code) ) needed_files.extend(includes) # Generate code for dof_map classname, code, includes = generate_dof_map_code(erep) filenames.extend( write_code(classname, code) ) needed_files.extend(includes) # Generate UFC code for forms for formdata in formdatas: # Initialize global variables in SyFi with the right space dimension (not very nice!) nsd = formdata.geometric_dimension if not nsd == last_nsd: SyFi.initSyFi(nsd) last_nsd = nsd # This object extracts and collects various information about the ufl form formrep = FormRepresentation(formdata, element_reps, options) pf = formdata.preprocessed_form # TODO: Get integrals from formrep, in case of modifications there? Or rather make sure that FormRep doesn't do any such things. ig = pf.integral_groups() # Generate code for cell integrals for domain in pf.domains(Measure.CELL): integrals = ig[domain] classname, code, includes = generate_cell_integral_code(integrals, formrep) filenames.extend( write_code(classname, code) ) needed_files.extend(includes) # Generate code for exterior facet integrals for domain in pf.domains(Measure.EXTERIOR_FACET): integrals = ig[domain] classname, code, includes = generate_exterior_facet_integral_code(integrals, formrep) filenames.extend( write_code(classname, code) ) needed_files.extend(includes) # Generate code for interior facet integrals for domain in pf.domains(Measure.INTERIOR_FACET): integrals = ig[domain] classname, code, includes = generate_interior_facet_integral_code(integrals, formrep) filenames.extend( write_code(classname, code) ) needed_files.extend(includes) # Generate code for form! code, includes = generate_form_code(formrep) filenames.extend( write_code(formrep.classname, code) ) needed_files.extend(includes) # Collect classnames for use with dolfin wrappers namespace = "" # "sfc::" ufc_form_classname = namespace + formrep.classname ufc_finite_element_classnames = [namespace + name for name in formrep.fe_names] ufc_dof_map_classnames = [namespace + name for name in formrep.dm_names] fn = UFCFormNames(formdata.name, formdata.coefficient_names, ufc_form_classname, ufc_finite_element_classnames, ufc_dof_map_classnames) formnames.append(fn) # Get other needed files: if needed_files: raise NotImplementedError("FIXME: Implement fetching non-ufc-class files like DofPtv and quadrature rule files.") filenames = list(unique(chain(filenames, needed_files))) hfilenames = [f for f in filenames if f.endswith(".h")] cfilenames = [f for f in filenames if f.endswith(".cpp")] # Generate DOLFIN wrapper code if options.code.dolfin_wrappers: if not formnames: print "NOT generating dolfin wrappers, missing forms!" # TODO: Generate FunctionSpaces for elements? else: prefix = options.code.prefix header = dolfin_header_template % "\n".join('#include "%s"' % h for h in hfilenames) sfc_info("Generating DOLFIN wrapper code, formnames are %s." % "\n".join(map(str,formnames))) dolfin_code = generate_dolfin_code(prefix, header, formnames) dolfin_filename = "%s.h" % prefix write_file(dolfin_filename, dolfin_code) hfilenames.append(dolfin_filename) sfc_debug("Leaving generate_code") return hfilenames, cfilenames syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/integralcg.py0000644000175000017500000004213411672223006025200 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains shared code generation tools for the ufc::*_integral classes. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-10 from itertools import tee from sfc.common.output import sfc_debug, sfc_error, sfc_assert, sfc_warning from sfc.common.utilities import indices_subset, unique from sfc.quadrature import gen_quadrature_rule_definition, gen_quadrature_rule_definitions from sfc.codegeneration.codeformatting import indent, CodeFormatter, \ gen_const_token_definitions, gen_token_prints, \ gen_token_declarations, gen_token_assignments, gen_token_additions class IntegralCG(object): def __init__(self, itgrep): self.itgrep = itgrep self.options = self.itgrep.formrep.options.code.integral def hincludes(self): l = [] return l def cincludes(self): l = [] return l def generate_code_dict(self): vars = { "classname" : self.itgrep.classname, "constructor" : indent(self.gen_constructor()), "constructor_arguments" : indent(self.gen_constructor_arguments()), "initializer_list" : indent(self.gen_initializer_list()), "destructor" : indent(self.gen_destructor()), "members" : indent(self.gen_members()), "tabulate_tensor" : indent(self.gen_tabulate_tensor()), "tabulate_tensor_quadrature" : indent(self.gen_tabulate_tensor_quadrature()), } return vars def generate_support_code(self): ccode = "" # Write quadrature rule if we have one: # TODO: Place quadrature rules in a separate shared file? fr = self.itgrep.formrep if fr.quad_rule is not None: ccode += gen_quadrature_rule_definition(fr.quad_rule) if fr.facet_quad_rules is not None: ccode += gen_quadrature_rule_definitions(fr.facet_quad_rules) # Write sign correction code if needed: TODO: Update sign code #nsd = fr.cell.nsd #handled_fe_names = set() #fe_list = fr.fe_list #for fe in fe_list: # if fe_is_signed(fe): # fe_name = strings.finite_element_classname(fe) # if not fe_name in handled_fe_names: # handled_fe_names.add(fe_name) # ccode += tabulate_sign_code(fe, nsd) return ccode def gen_constructor(self): raise NotImplementedError def gen_constructor_arguments(self): return "" def gen_initializer_list(self): return "" def gen_destructor(self): raise NotImplementedError def gen_members(self): raise NotImplementedError def gen_pre_debug_code(self): if not self.options.enable_debug_code: return "" code = CodeFormatter() code.begin_debug() code.begin_block() code += 'std::cout << std::endl;' code += 'std::cout << "SFC DEBUGGING OUTPUT: " << std::endl;' code += 'std::cout << "void %s::tabulate_tensor(...)" << std::endl;' % self.itgrep.classname code += 'std::cout << "{" << std::endl;' fr = self.itgrep.formrep fd = fr.formdata for k in range(fr.num_coefficients): element = fd.elements[k] rep = fr.element_reps[element] code += 'std::cout << " w[%d][:] = [ ";' % k code += "for(int j=0; j<%d; j++)" % rep.local_dimension code.begin_block() code += 'std::cout << w[%d][j] << ", ";' % k code.end_block() code += 'std::cout << " ]" << std::endl;' code += 'std::cout << " now computing element tensor..." << std::endl;' code.end_block() code.end_debug() return str(code) def gen_post_debug_code(self): if not self.options.enable_debug_code: return "" code = CodeFormatter() code.begin_debug() code.begin_block() code += 'std::cout << " ... done computing element tensor." << std::endl;' code += "for(int k=0; k<%d; k++)" % len(self.itgrep.indices) code.begin_block() # TODO: enhance this output by printing indices code += 'std::cout << " A[" << k << "]" << " = " << A[k] << std::endl;' code.end_block() code += 'std::cout << "}" << std::endl;' code.end_block() code.end_debug() return str(code) def gen_partition_block(self, data, deps, basis_functions): "Generate code for a partition of the linearized computational graph." code = gen_token_assignments( self.itgrep.iter_partition(data, deps, basis_functions) ) if code: deps = ", ".join(deps) if basis_functions: deps += "; using basis functions %s" % str(basis_functions) code = "// Partition depending on %s\n{\n%s\n}" % (deps, indent(code)) return code def gen_geometry_block(self): sfc_debug("Entering IntegralCG.gen_geometry_block") code = CodeFormatter() # --- Sign correction code: # TODO #sign_sym = itgrep.sign_sym #for fe_name in sign_sym.keys(): # nbf = len(sign_sym[fe_name]) # code += use_sign_code2(fe_name, nbf, nsd) # --- Generate code for for initial geometry tokens # (vertex coordinates, affine map, normal vector, ...) geometry_tokens = self.itgrep.iter_geometry_tokens() # if we want to print debug tokens, duplicate the iterator if self.options.enable_debug_code: geometry_tokens, debug_geometry_tokens = tee(geometry_tokens) code += "// Geometric quantities" code += gen_const_token_definitions(geometry_tokens) if self.options.enable_debug_code: code += "" code.begin_debug() code += gen_token_prints(debug_geometry_tokens) code.end_debug() code += "" # --- Facet tokens code: if self.itgrep._on_facet: fr = self.itgrep.formrep code += "// Geometric quantities on each facet" for facet in range(fr.cell.num_facets): facet_tokens = self.itgrep.iter_facet_tokens(facet) if facet == 0: # if we want to print debug tokens, duplicate the iterator if self.options.enable_debug_code: facet_tokens, debug_facet_tokens = tee(facet_tokens) # duplicate the iterator to generate declarations outside switch facet_tokens, facet_tokens2 = tee(facet_tokens) code += gen_token_declarations(facet_tokens2) code.begin_switch("facet") code.begin_case(facet, braces=True) code += "// Geometric quantities on facet %d" % facet code += gen_token_assignments(facet_tokens) code.end_case() code += "default:" code.indent() code += 'throw std::runtime_error("Invalid facet number.");' code.dedent() code.end_switch() if self.options.enable_debug_code: code += "" code.begin_debug() code += 'std::cout << "facet = " << facet << std::endl;' code += gen_token_prints(debug_facet_tokens) code.end_debug() code += "" sfc_debug("Leaving IntegralCG.gen_geometry_block") return str(code) def gen_quadrature_runtime_block(self, data): code = gen_const_token_definitions(self.itgrep.iter_runtime_quad_tokens(data)) if code: code = "// Geometric quantities and coefficients\n" + code return code def gen_A_assignment_block(self, data): "Assigning values to element tensor (for pre-integrated tensor components)" # Only one symbolic integral supported: assert data.integral is self.itgrep.symbolic_integral if self.itgrep._on_facet: # TODO: Each facet block can be extracted as a separate function fr = self.itgrep.formrep code = CodeFormatter() code.begin_switch("facet") for facet in range(fr.cell.num_facets): A_tokens = self.itgrep.iter_A_tokens(data, facet) code.begin_case(facet, braces=True) code += "// Integrated element tensor entries" code += gen_token_assignments(A_tokens) code.end_case() code.end_switch() code = str(code) else: A_tokens = self.itgrep.iter_A_tokens(data) code = gen_token_assignments(A_tokens) code = "// Integrated element tensor entries\n{\n%s\n}" % code return code def gen_A_reset_block(self): # Zero element tensor code = "// Reset element tensor\n" code += "memset(A, 0, sizeof(double)*%d);" % len(self.itgrep.indices) return code def gen_quadrature_begin_block(self, data): "Beginning of quadrature loop." assert data.integral in self.itgrep.quadrature_integrals code = CodeFormatter() if self.itgrep._on_facet: num_points = data.facet_quad_rules[0].num_points code += "for(int iq=0; iq<%d; iq++)" % num_points code += "{" code.indent() code += "// Fetch quadrature rule" code += "const double quad_weight = facet_quad_weights[facet][iq];" code += "const double *_p = facet_quad_points[facet][iq];" else: num_points = data.quad_rule.num_points code += "for(int iq=0; iq<%d; iq++)" % num_points code += "{" code.indent() code += "// Fetch quadrature rule" code += "const double quad_weight = quad_weights[iq];" code += "const double *_p = quad_points[iq];" nsd = self.itgrep.formrep.cell.nsd if nsd > 0: code += "const double x = _p[0];" if nsd > 1: code += "const double y = _p[1];" if nsd > 2: code += "const double z = _p[2];" code.dedent() return str(code) def gen_A_accumulation_block(self, data): "Accumulation of nonzero element tensor entries." assert data.integral in self.itgrep.quadrature_integrals A_tokens = self.itgrep.iter_A_tokens(data) code = gen_token_additions((A_sym, A_expr) for (A_sym, A_expr) in A_tokens if A_expr != 0) assert code code = "// Accumulating element tensor entries\n{\n%s\n}" % indent(code) return code def gen_quadrature_end_block(self): return "}" def gen_symbol_allocation_block(self): if self.itgrep._symbol_counter > 0: code = "double s[%d];" % self.itgrep._symbol_counter else: code = "" return code def gen_tabulate_tensor(self): "Generic function to generate tabulate_tensor composed by reusable code blocks." # TODO: Improve code generation here for "robustness", several possibilities: # - Use a loop over both trial and test functions. # - Use a loop over trial functions, keep inlined application of test functions. # - Apply "outlining" to reduce function size, that is, generate helper functions # instead of inlining all expressions explicitly. # For example one for each integral and one for each block. sfc_debug("Entering IntegralCG.tabulate_tensor") fr = self.itgrep.formrep fd = fr.formdata r = fr.rank def generate_partition_blocks(data, bf_dep_list, known): pblocks = [] known = frozenset(known) # Define sequence of blocks to handle todo = [] for (iota, keep) in bf_dep_list: deps = known if keep is not None: deps |= frozenset("v%d" % j for (j,k) in enumerate(keep) if k) if deps in data.partitions: todo.append((deps, iota)) # Handle each block in sequence for t in todo: deps, iota = t code = self.gen_partition_block(data, deps, iota) if code: pblocks += [code] return pblocks # Build a list of code blocks blocks = [] # Print debugging info about input arguments in code blocks += [self.gen_pre_debug_code()] # Geometry variables like G, Ginv, detG, n blocks += [self.gen_geometry_block()] # Symbolic integration part or element tensor reset integral = self.itgrep.symbolic_integral if integral is not None: data = self.itgrep.integral_data[integral.measure()] # TODO: Do we need any intermediate variable blocks? # Maybe if we apply some optimizations. # We could f.ex. compute the integrands to be # symbolically integrated from the graph, # with the same tokens precomputed as with quadrature. blocks += [self.gen_A_assignment_block(data)] else: blocks += [self.gen_A_reset_block()] # List of ways that expressions may depend on basis functions bf_dep_list = [((), None)] if r == 1: m = fr.element_reps[fd.elements[0]].local_dimension bf_dep_list += [((i,), (True,)) for i in range(m)] elif r == 2: m = fr.element_reps[fd.elements[0]].local_dimension n = fr.element_reps[fd.elements[1]].local_dimension bf_dep_list += [((None, i), (False, True)) for i in range(m)] bf_dep_list += [((i, None), (True, False)) for i in range(m)] bf_dep_list += [((i, j), (True, True)) for i in range(m) for j in range(n)] elif r > 2: sfc_error("Support for higher order tensors not implemented.") # Code for each quadrature integral for integral in self.itgrep.quadrature_integrals: # Data about this particular integral, including integration mode and computational graph data = self.itgrep.integral_data[integral.measure()] # FIXME: These should be precomputed, no dependencies blocks += generate_partition_blocks(data, bf_dep_list, ()) # Compute blocks of intermediate variables, s[...] = ...; that are independent of coordinates blocks += generate_partition_blocks(data, bf_dep_list, ("c",)) # Begin quadrature loop blocks += [self.gen_quadrature_begin_block(data)] # Build quadrature loop body from blocks qblocks = [] # Just for indentation similar to generated code :) if True: qblocks += [indent(self.gen_quadrature_runtime_block(data))] # FIXME: These should be precomputed for each quadrature point, no runtime dependencies qblocks += generate_partition_blocks(data, bf_dep_list, ("x",)) # Compute blocks of intermediate variables, s[...] = ...; qblocks += generate_partition_blocks(data, bf_dep_list, ("c", "x")) # Accumulate element tensor values, A[...] += ...; qblocks += [self.gen_A_accumulation_block(data)] blocks += [indent(code) for code in qblocks] # End quadrature loop blocks += [self.gen_quadrature_end_block()] # Print debugging info about output values in code blocks += [self.gen_post_debug_code()] # Insert declaration for allocation of symbols at beginning code = self.gen_symbol_allocation_block() if code: blocks.insert(0, code) # Compose the final tabulate_tensor code! final_code = "\n\n".join(blocks) sfc_debug("Leaving IntegralCG.tabulate_tensor") return final_code def gen_tabulate_tensor_quadrature(self): return 'throw std::runtime_error("Not implemented.");' # FIXME syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/codeformatting.py0000644000175000017500000004517111672223006026072 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ General utilities for code generation. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-02-27 # Last changed: 2008-10-13 import re import swiginac from pprint import * # global variable for consistent indentation indent_size = 4 def indent(text, n=1): """Indent a text n times. Text can also be a list of strings, or recursively a list of lists of strings.""" # must have something to indent if not(text and n): return text # indent components of a list without merging if isinstance(text, list): return [indent(c, n) for c in text] # fix to avoid extra spaces at end append_lineend = text.endswith("\n") # apply spaces to all lines lines = text.split("\n") if append_lineend: lines.pop() space = " "*(indent_size*n) text = "\n".join((space + s) for s in lines) # fix to avoid extra spaces at end if append_lineend: text += "\n" return text class CodeFormatter: """Utility class for assembling code strings into a multiline string. Supports checking for matching parenteses and applying indentation to generate code that is more robust with respect to correctness of program flow and readability of code. Support for the following constructs: {} (basic block), if, else if, else, switch, case, while, do, class Typical usage: >>> c = CodeFormatter() >>> c.begin_switch("i") >>> c.begin_case(0) >>> c += "foo();" >>> c.end_case() >>> c.begin_case(1) >>> c.begin_if("a > b") >>> c += "bar();" >>> c.begin_else_if("c > b") >>> c += "bar2();" >>> c.end_if() >>> c.end_case() >>> c.end_switch() >>> print str(c) switch(i) { case 0: foo(); break; case 1: if( a > b ) { bar(); } else if( c > b ) { bar2(); } break; } """ def __init__(self, name=""): self.name = name #self.text = "" self.text = [] self.indentation = 0 self.context = ["ROOT"] def get_context(self): return self.context[-1] def add_context(self, context): self.context.append(context) def remove_context(self, context): self.assert_context(context) c = self.context.pop(-1) if not c == context: raise RuntimeError("Expected context '%s' to be '%s'." % (c, context)) def assert_context(self, context): if not (self.context[-1] == context): raise RuntimeError("Expected to be in context '%s', state is %s." % (context, str(self.context))) def assert_contexts(self, contexts): for i in range(len(contexts)): if not self.context[-(i+1)] == contexts[i]: raise RuntimeError("Expected to be in contexts %s, state is %s." % (str(contexts), str(self.context))) def assert_closed_code(self): self.assert_context("ROOT") if self.indentation != 0: raise RuntimeError("Code is not closed, indentation state is %d != 0." % self.indentation) def __str__(self): #try: self.assert_closed_code() #except: # raise RuntimeError("Converting a CodeFormatter to str, but context is not closed: %s" % str(self.context)) #return self.text return "".join(self.text) def new_text(self, text): "Add a block of text directly with no modifications." #self.text += text self.text.append(text) def new_line(self, text=""): "Add a line with auto-indentation." if self.text: #self.text += "\n" self.text.append("\n") #self.text += indent(text, self.indentation) self.text.append(indent(text, self.indentation)) def __iadd__(self, text): if self.text: #self.text += "\n" self.text.append("\n") #self.text += indent(text, self.indentation) self.text.append(indent(text, self.indentation)) return self def indent(self): self.indentation += 1 def dedent(self): if self.indentation <= 0: print "WARNING: Dedented non-indented code, something"\ " is wrong in code generation program flow." self.indentation = 0 else: self.indentation -= 1 def comment(self, text): if "\n" in text: self.new_line( "/*" ) self.new_line( indent(text, self.indentation) ) # TODO: indent text to proper level! self.new_line( "*/" ) else: self.new_line( "// " + text ) def begin_debug(self): self.add_context("debug") self.new_line("#ifdef SFCDEBUG") def end_debug(self): self.new_line("#endif // SFCDEBUG") self.remove_context("debug") def begin_block(self): self.add_context("block") self.new_line("{") self.indent() def end_block(self): self.dedent() self.new_line("}") self.remove_context("block") def begin_switch(self, arg): self.new_line("switch(%s)" % str(arg)) self.new_line("{") self.add_context("switch") def begin_case(self, arg, braces=False): self.assert_context("switch") self.add_context("case") self.new_line("case %s:" % str(arg)) self.indent() if braces: self.begin_block() def end_case(self): if self.get_context() == "block": # braces = True in begin_case self.end_block() self.new_line("break;") self.dedent() self.remove_context("case") def end_switch(self): self.new_line("}") self.remove_context("switch") def begin_while(self, arg): self.add_context("while") self.new_line("while( %s )" % str(arg)) self.begin_block() def end_while(self): self.end_block() self.remove_context("while") def begin_do(self): self.add_context("do") self.new_line("do") self.new_line("{") self.indent() def end_do(self, arg): self.dedent() self.new_line( "} while(%s);" % str(arg) ) self.remove_context("do") def begin_if(self, arg): self.add_context("if") self.new_line("if( %s )" % str(arg)) self.begin_block() def begin_else_if(self, arg): self.end_block() self.assert_context("if") self.new_line("else if( %s )" % str(arg)) self.begin_block() def begin_else(self): self.end_block() self.assert_context("if") self.new_line("else") self.begin_block() def end_if(self): self.end_block() self.remove_context("if") def begin_class(self, classname, bases=[]): self.add_context("class") code = "class %s" % str(classname) if bases: code += ": " + ", ".join(bases) self.new_line( code ) self.begin_block() def end_class(self): self.end_block() self.new_text(";") self.remove_context("class") def declare_function(self, name, return_type="void", args=[], const=False, virtual=False, inline=False, classname=None): code = "%s;" % function_signature(name, return_type, args, virtual, inline, const, classname) self.new_line(code) def define_function(self, name, return_type="void", args=[], const=False, virtual=False, inline=False, classname=None, body="// Empty body"): signature = function_signature(name, return_type, args, virtual, inline, const, classname) self.new_line(signature) self.begin_block() self.new_line(body) self.end_block() def call_function(self, name, args=[]): args = ", ".join(args) code = "".join((name, "(", args, ");")) self.new_line(code) # ... Utility functions for code generation def row_major_index_string(i, shape): """Constructs an index string for a row major (C type) indexing of a flattened tensor of rank 0, 1, or 2.""" if len(shape) == 0: return "0" if len(shape) == 1: return "%d" % i[0] if len(shape) == 2: return "%d*%d + %d" % (shape[1], i[0], i[1]) raise ValueError("Rank 3 or higher not supported in row_major_index_string()") def optimize_floats(code): """Optimize storage size of floating point numbers by removing unneeded trailing zeros.""" regexp = re.compile('0+e') return regexp.sub('e', code) def function_signature(name, return_type="void", args=[], virtual=False, inline=False, const=False, classname=None): "Render function signature from arguments." code = [] if virtual: code.append("virtual ") if inline: code.append("inline ") code.extend((return_type, " ")) if classname: code.extend((classname, "::")) def joinarg(arg): if isinstance(arg, str): return arg if len(arg) == 2: return "%s %s" % arg elif len(arg) == 3: return "%s %s%s" % arg raise RuntimeError("Invalid arg: %s" % repr(arg)) args = ", ".join(joinarg(arg) for arg in args) code.extend((name, "(", args, ")")) if const: code.append(" const") return "".join(code) # TODO: These token code generation functions can be optimized by iterating differently # TODO: A function that can apply two rules to the same stream and return two joined codes default_code_rule = r"double %(symbol)s = %(value)s;" def gen_token_code(token, rule=default_code_rule): """token[0] is a symbol or string or matrix with symbols, token[1] is a scalar, expression or matrix of the same shape with the corresponding values. Generates code based on rule, default %s, for all elements of token[0] and token[1].""" % default_code_rule def code_rule(s, v): return rule % { "symbol": s, "value": v } # make symbol and value swiginac objects if they're not sym, val = token if isinstance(val, (int, float)): val = swiginac.numeric(val) # check if we have one or more tokens here if isinstance(sym, (swiginac.matrix, swiginac.lst)): if len(sym) != len(val): raise RuntimeError("sym and val must have same size.") code = "\n".join( code_rule(sym[i].printc(), val[i].printc()) for i in xrange(len(sym)) ) else: code = code_rule(str(sym), val.printc()) return code #=============================================================================== # def gen_symbol_declaration(symbol, prefix="double ", postfix=";\n"): # """symbol is a swiginac.symbol or matrix or lst with symbols. # Generates code for declaration of all symbols in symbol.""" # # if not isinstance(symbol, (swiginac.matrix, swiginac.lst) ): # symbol = swiginac.matrix(1,1, [symbol]) # # # cat all symbols in comma separated string # symbol_list = ", ".join( str(symbol[i]) for i in xrange(len(symbol)) ) # # code = prefix + symbol_list + postfix # return code #=============================================================================== def gen_token_prints(tokens, indent=" "): return "\n".join(gen_token_code(token, rule='std::cout << "'+indent+'%(symbol)s = " << %(symbol)s << std::endl;') for token in tokens) def gen_symbol_declarations(symbols): return "\n".join("double %s;" % str(s) for s in symbols) def gen_token_declarations(tokens): return "\n".join(gen_token_code(token, rule="double %(symbol)s;") for token in tokens) def gen_token_definitions(tokens): return "\n".join(gen_token_code(token, rule="double %(symbol)s = %(value)s;") for token in tokens) def gen_const_token_definitions(tokens): return "\n".join(gen_token_code(token, rule="const double %(symbol)s = %(value)s;") for token in tokens) def gen_token_assignments(tokens): return "\n".join(gen_token_code(token, rule="%(symbol)s = %(value)s;") for token in tokens) def gen_token_additions(tokens): return "\n".join(gen_token_code(token, rule="%(symbol)s += %(value)s;") for token in tokens) def gen_switch(argument, cases, default_case=None, braces=False): if braces: start_brace = "{\n" end_brace = "\n}" else: start_brace = "" end_brace = "" case_code = "\n".join([ "case %s:\n%s%s\n break;%s" % (str(c[0]), start_brace, indent(c[1]), end_brace) for c in cases]) if default_case: case_code += "\ndefault:\n%s%s %s" % (start_brace, indent(default_case), end_brace) return "switch(%s)\n{\n%s\n}" % (argument, indent(case_code)) #class Switch: # def __init__(self, argument, cases=[], default_case=None, braces=False): # self.argument = argument # self.cases = cases # self.default_case = default_case # self.braces = braces # # def __str__(self): # return gen_switch(self.argument, self.cases, self.default_case, self.braces) # # #class IfElse: # def __init__(self, cases=[]): # self.cases = cases # # def __str__(self): # c = self.cases[0] # code = "if(%s)\n{\n%s\n}" % (c[0], indent(c[1])) # for c in self.cases[1:]: # code += "\nelse if(%s)\n{\n%s\n}" % (c[0], indent(c[1])) # return code # # #class Struct: # def __init__(self, name, variables=[]): # self.name = name # self.variables = variables # # def __str__(self): # inner_code = "" # for v in self.variables: # if isinstance(v, tuple): # inner_code += "%s %s;\n" % (v[0], v[1]) # else: # inner_code += "double %s;\n" % v # return "struct %s\n{\n%s}" % (self.name, indent( inner_code )) def outline(name, tokens, targets, deps): inputargs = deps # figure out which variables to output and # which to declare on the local stack localtokens = [] outputargs = [] for t in tokens: s = t[0] if s in targets: outputargs.append(s) else: localtokens.append(s) # generate code for argument list in the function call allargs = inputargs + outputargs callargumentlist = ", ".join(str(a) for a in allargs) # generate code for the argument list in the function definition, # input args and output args separately argumentlist1 = ", ".join("double %s" % str(a) for a in inputargs) argumentlist2 = ", ".join("double & %s" % str(a) for a in outputargs) # join input and output arguments to a single argument list argumentlist = argumentlist1 if argumentlist1 and argumentlist2: argumentlist += ", " argumentlist += argumentlist2 # generate function body to compute targets body = "" body += "\n".join(" double %s;" % s for s in localtokens) body += "\n" body += "\n".join(" %s = %s;" % (t[0], t[1]) for t in tokens) # stich together code pieces to return fundef = "void %s(%s)\n{\n%s\n}" % (name, argumentlist, body) funcall = "%s(%s);" % (name, callargumentlist) return fundef, funcall def test_outliner(): tokens = [ ("a", "u * v"), ("b", "u + w"), ] deps = ["u", "v", "w"] targets = ["a"] fundef, funcall = outline("foo", tokens, targets, deps) print fundef print funcall #year, month, day, hour, minute = time.localtime()[:5] #date_string = "%d:%d, %d/%d %d" % (hour, minute, day, month, year) if __name__ == "__main__": c = CodeFormatter() c.begin_class( "Foo" ) c += "dings" c.end_class() c += "" c.begin_class( "Bar", ("fee", "foe") ) c.comment( "something funny" ) c.declare_function("blatti", "int", const=False, virtual=False) c.declare_function("foo", "double", const=True) c.declare_function("bar", virtual=True) c.end_class() c.define_function("blatti", "int", const=False, virtual=False, classname="Bar", body='cout << "Hello world!" << endl;') c.call_function("blatti") c += "" # a basic if c.begin_if( "a < b" ) c += "foo.bar();" c.end_if() c += "" # a compound if c.begin_if( "a < b" ) c += "foo.bar();" c.begin_else_if( "c < b" ) c += "foo.bar();" c.begin_else() c += "foo.bar();" c.end_if() c += "" # a simple do loop c.begin_do() c += "foo();" c.end_do("a > 0") c += "" # a simple while loop c.begin_while("a > 0") c += "foo();" c.end_while() c += "" # an empty switch c.begin_switch("i") c.end_switch() c += "" # a compound switch c.begin_switch("k") c.begin_case(0) c += "foo.bar();" c.end_case() c.begin_case("1") c += "bar.foo();" c += "bar.foo();" c.end_case() c.end_switch() c += "" # verify that the code is closed c.assert_closed_code() # print the result print c if __name__ == '__main__': from swiginac import symbol x = symbol("x") y = symbol("y") z = symbol("z") pi = swiginac.Pi cos = swiginac.cos tokens = [ (x, 1), (y, x**2-1), (z, cos(2*pi*x*y)) ] print gen_token_declarations(tokens) print gen_token_definitions(tokens) print gen_const_token_definitions(tokens) print gen_token_assignments(tokens) print gen_token_additions(tokens) # print Switch("i", [(1, "foo();"), (2, "bar();")], "foe();", False) # print Switch("i", [(1, "foo();"), (2, "bar();")], None, True) # print Switch("i", [(1, "foo();"), (2, "bar();")], "foe();", True) # print Switch("i", [(1, "foo();"), (2, "bar();")], None, False) # # print IfElse([("i==0", "foo();"), ("i!=1", "bar();")]) # # print Struct("foostruct", ["a", "b", "c"]) # print Struct("barstruct", [("int", "a"), ("bool", "b"), "c"]) def _test(): import doctest return doctest.testmod() if __name__ == "__main__": _test() syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/exteriorfacetintegralcg.py0000644000175000017500000001103311672223006027757 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::exterior_facet_integral class. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-09 from itertools import tee import swiginac from sfc.common.output import sfc_debug, sfc_error, sfc_assert, sfc_warning from sfc.quadrature import gen_quadrature_rule_definition, gen_quadrature_rule_definitions from sfc.codegeneration.codeformatting import indent, CodeFormatter, gen_const_token_definitions, gen_token_prints from sfc.codegeneration.codeformatting import gen_symbol_declarations, gen_token_declarations, gen_token_assignments, gen_token_additions from sfc.codegeneration.integralcg import IntegralCG class ExteriorFacetIntegralCG(IntegralCG): def __init__(self, itgrep): IntegralCG.__init__(self, itgrep) # Generator trick: # Iterators over members are used in gen_members and # gen_constructor, avoid double iteration with tee: # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] a, b = tee(self.itgrep.iter_member_quad_tokens(data)) self._iter_member_quad_tokens1 = a self._iter_member_quad_tokens2 = b def gen_members(self): sfc_debug("entering ExteriorFacetIntegral.gen_members") code = "" # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] member_quad_tokens = self._iter_member_quad_tokens1 #self.itgrep.iter_member_quad_tokens() member_quad_token_names = (str(s[0]).split(".")[-1] for s in member_quad_tokens) decl = gen_symbol_declarations(member_quad_token_names) if decl: code += "\n\n" code += "struct member_quad_tokens\n{\n" code += indent(decl) code += "\n};\n" code += "member_quad_tokens qt[%d][%d];\n" % (self.itgrep.formrep.cell.num_facets, data.facet_quad_rules[0].num_points) sfc_debug("leaving ExteriorFacetIntegral.gen_members") return code def gen_constructor(self): sfc_debug("entering ExteriorFacetIntegral.gen_constructor") code = "" # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] member_quad_tokens = self._iter_member_quad_tokens2 # itgrep.iter_member_quad_tokens() member_quad_tokens_assignments = gen_token_assignments(member_quad_tokens) if member_quad_tokens_assignments: # Construct loop over facets with quad loop inside facet_loop_begin = "for(int facet=0; facet<%d; facet++)\n{\n" % self.itgrep.formrep.cell.num_facets quad_loop_start_code = self.gen_quadrature_begin_block(data) # Stitch code pieces together code += facet_loop_begin code += quad_loop_start_code code += indent(member_quad_tokens_assignments) code += "\n}\n" code += "\n}\n" sfc_debug("leaving ExteriorFacetIntegral.gen_constructor") return code def gen_destructor(self): return "" syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/cellintegralcg.py0000644000175000017500000001037111672223006026036 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::cell_integral class. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-09 from itertools import tee import swiginac from sfc.common.output import sfc_debug, sfc_error, sfc_assert, sfc_warning from sfc.quadrature import gen_quadrature_rule_definition, gen_quadrature_rule_definitions from sfc.codegeneration.codeformatting import indent, CodeFormatter, gen_const_token_definitions, gen_token_prints from sfc.codegeneration.codeformatting import gen_symbol_declarations, gen_token_declarations, gen_token_assignments, gen_token_additions from sfc.codegeneration.integralcg import IntegralCG class CellIntegralCG(IntegralCG): def __init__(self, itgrep): IntegralCG.__init__(self, itgrep) # Generator trick: # Iterators over members are used in gen_members and # gen_constructor, avoid double iteration with tee: # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] a, b = tee(self.itgrep.iter_member_quad_tokens(data)) self._iter_member_quad_tokens1 = a self._iter_member_quad_tokens2 = b def gen_members(self): sfc_debug("entering CellIntegral.gen_members") code = "" # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] member_quad_tokens = self._iter_member_quad_tokens1 #self.itgrep.iter_member_quad_tokens() member_quad_token_names = (str(s[0]).split(".")[-1] for s in member_quad_tokens) decl = gen_symbol_declarations(member_quad_token_names) if decl: code += "\n\n" code += "struct member_quad_tokens\n{\n" code += indent(decl) code += "\n};\n" code += "member_quad_tokens qt[%d];\n" % data.quad_rule.num_points sfc_debug("leaving CellIntegral.gen_members") return code def gen_constructor(self): sfc_debug("entering CellIntegral.gen_constructor") code = "" # FIXME: Update this for multiple integral data, and for precomputation without constructor code for integral in self.itgrep.quadrature_integrals: sfc_assert(len(self.itgrep.quadrature_integrals) <= 1, "Not implemented!") data = self.itgrep.integral_data[integral.measure()] member_quad_tokens = self._iter_member_quad_tokens2 # itgrep.iter_member_quad_tokens() member_quad_tokens_assignments = gen_token_assignments(member_quad_tokens) if member_quad_tokens_assignments: # Construct quadrature loop quad_loop_start_code = self.gen_quadrature_begin_block(data) # Stitch code pieces together code += quad_loop_start_code + "\n" code += indent(member_quad_tokens_assignments) code += "\n}\n" sfc_debug("leaving CellIntegral.gen_constructor") return code def gen_destructor(self): return "" syfi-1.0.0.dfsg.orig/site-packages/sfc/codegeneration/formcg.py0000644000175000017500000001310511672223006024332 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains code generation tools for the ufc::form class. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-05 from sfc.codegeneration.codeformatting import indent, CodeFormatter class FormCG: "Code generator for an ufc::form." def __init__(self, formrep): self.formrep = formrep def hincludes(self): l = [] return l def cincludes(self): l = [] return l def generate_code_dict(self): form_vars = { "classname" : self.formrep.classname, "constructor" : indent(self.gen_constructor()), "constructor_arguments" : indent(self.gen_constructor_arguments()), "initializer_list" : indent(self.gen_initializer_list()), "destructor" : indent(self.gen_destructor()), "members" : indent(self.gen_members()), "rank" : indent(self.gen_rank()), "num_coefficients" : indent(self.gen_num_coefficients()), "signature" : indent(self.gen_signature()), "create_dofmap" : indent(self.gen_create_dofmap()), "create_finite_element" : indent(self.gen_create_finite_element()), "create_cell_integral" : indent(self.gen_create_cell_integral()), "create_exterior_facet_integral" : indent(self.gen_create_exterior_facet_integral()), "create_interior_facet_integral" : indent(self.gen_create_interior_facet_integral()), "num_cell_domains" : indent(self.gen_num_cell_domains()), "num_exterior_facet_domains" : indent(self.gen_num_exterior_facet_domains()), "num_interior_facet_domains" : indent(self.gen_num_interior_facet_domains()), } return form_vars def generate_support_code(self): return "" def gen_constructor(self): return "" def gen_constructor_arguments(self): return "" def gen_initializer_list(self): return "" def gen_destructor(self): return "" def gen_members(self): return "" def gen_rank(self): return 'return %d;' % self.formrep.rank def gen_num_coefficients(self): return 'return %d;' % self.formrep.num_coefficients def gen_signature(self): return 'return "%s";' % self.formrep.signature def _gen_num_domains(self, names): if names: n = 1 + max(list(names.keys())) else: n = 0 return 'return %d;' % n def gen_num_cell_domains(self): return self._gen_num_domains(self.formrep.citg_names) def gen_num_exterior_facet_domains(self): return self._gen_num_domains(self.formrep.eitg_names) def gen_num_interior_facet_domains(self): return self._gen_num_domains(self.formrep.iitg_names) def _gen_create_switch(self, classnames, name, indices = None, return_null=False): "Utility function for creating factory functions." code = CodeFormatter() #if options.add_debug_code: # FIXME # code.begin_debug() # code += 'std::cout << "Creating object in %s, index is " << i << std::endl;' % name # code.end_debug() if classnames: if isinstance(classnames, dict): assert indices is None else: if indices is None: indices = range(len(classnames)) classnames = dict((i,c) for (i,c) in zip(indices, classnames)) code.begin_switch("i") for i, c in classnames.iteritems(): code.begin_case(i) code += "return new %s();" % c code.end_case() code.end_switch() if return_null: code += 'return 0;' else: code += 'throw std::runtime_error("Invalid index in %s()");' % name return str(code) def gen_create_dofmap(self): return self._gen_create_switch(self.formrep.dm_names, "create_dofmap") def gen_create_finite_element(self): return self._gen_create_switch(self.formrep.fe_names, "create_finite_element") def gen_create_cell_integral(self): return self._gen_create_switch(self.formrep.citg_names, "create_cell_integral", return_null=True) def gen_create_exterior_facet_integral(self): return self._gen_create_switch(self.formrep.eitg_names, "create_exterior_facet_integral", return_null=True) def gen_create_interior_facet_integral(self): return self._gen_create_switch(self.formrep.iitg_names, "create_interior_facet_integral", return_null=True) if __name__ == '__main__': print "form.py, no test implemented" syfi-1.0.0.dfsg.orig/site-packages/sfc/jit.py0000644000175000017500000003155711672223006020670 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains the Just-In-Time compiler tools. The main function is jit(form, options), see its documentation. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-09-04 # Last changed: 2009-04-23 import shutil import os import hashlib import instant import ufc_utils import ufl import ufl.algorithms from ufl.algorithms import preprocess from sfc.common import version from sfc.common import default_parameters from sfc.common import ParameterDict from sfc.common import get_abs_ufc_h_path from sfc.common import sfc_debug, sfc_info, sfc_warning, sfc_error, sfc_assert, write_file from sfc.common.names import short_name, form_classname, dof_map_classname, finite_element_classname, base_element_classname from sfc.codegeneration import generate_code, compiler_input def cache_signature(input, options): "A signature string uniquely identifying jit input." # FIXME, need to use i.form_data() for memory caching TODO: What does this mean? if not isinstance(input, list): input = [input] newinput = [] for i in input: if isinstance(i, ufl.form.Form): i = i.signature() #i = i.compute_form_data().preprocessed_form.signature() # TODO: Something like this? newinput.append(i) return "sfc.jit(%r, %r) # SFC version %r" % (newinput, options, version) def compile_module(module_dir, hfilenames, cfilenames, signature, options): """Assuming an existing directory module_dir with source files hfilenames, cfilenames, create a python extension module and compile it.""" orig_dir = os.getcwd() try: # headers to #include in swig file system_headers = ["iostream", "stdexcept", "cmath", "ufc.h", "tr1/memory"] cppargs = options.compilation.cppargs if options.compilation.enable_debug_code: cppargs.append("-DSFCDEBUG") module_name = module_dir if signature is None else None module = ufc_utils.build_ufc_module(h_files = hfilenames, source_directory = module_dir, sources = cfilenames, system_headers = system_headers, cppargs = cppargs, signature = signature, cache_dir = options.compilation.cache_dir, modulename = module_name, generate_interface = options.compilation.generate_interface, generate_setup = options.compilation.generate_setup) sfc_info("Successfully compiled module in '%s'." % module_dir) return module # ... finally: os.chdir(orig_dir) def jit(input, parameters=None, common_cell=None): ufl_elements, formdatas = compiler_input(input, common_cell=common_cell) # Merge parameters with defaults if parameters is None: parameters = default_parameters() if isinstance(parameters, dict) and not isinstance(parameters, ParameterDict): o = parameters parameters = default_parameters() parameters.update(o) # Default prefix shows where the module was compiled prefix = parameters.code.prefix if not prefix: prefix = "sfc_jit" # Build module signature and classnames from input signature = cache_signature(input, parameters) formclassnames = [form_classname(fd.preprocessed_form, parameters) for fd in formdatas] # formclassnames = [form_classname(fd.form, parameters) for fd in formdatas] dmclassnames = [dof_map_classname(e) for e in ufl_elements] feclassnames = [finite_element_classname(e) for e in ufl_elements] # Placeholder for the up and coming compiled module module = None # Hacky hook for profiling without the C++ compilation if parameters.compilation.skip: pass else: # Possibly force recompilation if parameters.compilation.overwrite_cache: sfc_warning("Complete implementation of overwrite_cache not done, but skipping cache lookup before code generation.") # TODO: delete existing module with signature or module_name else: # Check cache before generating code module = instant.import_module(signature) # Construct ufc::form object if module: sfc_info("Found module in cache.") if module is None: # Store original path, to restore later orig_dir = os.getcwd() # Build module name, then shorten if it's too long module_dir_name = "_".join(["_".join(formclassnames), "_".join(dmclassnames), "_".join(feclassnames)]) module_dir_name = short_name(prefix, module_dir_name) # Make sure the module directory is there and empty module_dir = os.path.abspath(module_dir_name) if os.path.exists(module_dir): sfc_warning("Possibly overwriting files in existing module directory '%s'." % module_dir) else: os.mkdir(module_dir) # Enter module directory and generate code! try: os.chdir(module_dir) # Write parameters, signature and form representations to files beside code write_file("parameters.repr", repr(parameters)) write_file("signature", signature) for fd in formdatas: write_file("%s.repr" % short_name("form_", fd.name), repr(fd.preprocessed_form)) for ue in ufl_elements: write_file("%s.repr" % short_name("element_", base_element_classname(ue)), repr(ue)) # Generate code! hfilenames, cfilenames = generate_code(ufl_elements + formdatas, None, parameters, common_cell=common_cell) # Hook for profiling without the C++ compilation if parameters.compilation.skip: return None finally: # Restore original path os.chdir(orig_dir) # Invoke Instant to compile generated files as a Python extension module module = compile_module(module_dir, hfilenames, cfilenames, signature, parameters) # Remove temporary module directory if code was copied to cache placed_in_cache = False # TODO if placed_in_cache: sfc_info("Module was placed in cache, deleting module directory '%s'." % module_dir) shutil.rmtree(module_dir) if module is None: sfc_error("Failed to load compiled module from cache.") # If we get here, 'module' should be our compiled module. # TODO: Handle mixed list of forms and elements? # Got forms, return forms if formdatas: prefix = "sfc dummy prefix for pydolfin which I have no idea what is used for" ufc_forms = [getattr(module, name)() for name in formclassnames] return ufc_forms[0], module, formdatas[0], prefix # Got elements, return elements elif ufl_elements: ufc_elements = [(getattr(module, fe)(), getattr(module, dm)()) for (fe, dm) in zip(feclassnames, dmclassnames)] return ufc_elements[0] msg = "Nothing to return, this shouldn't happen.\ninput =\n%r" % repr(input) sfc_error(msg) def jitf(input, objects, parameters = None): """Generate code from input and parameters. @param input: TODO @param parameters: TODO @return: FIXME: Agree on return values with FFC! Currently FFC returns (ufc_form, module, formdata), and dolfin assumes this """ # To handle all input uniformly list_input = isinstance(input, list) ufl_elements, formdatas = compiler_input(input, objects=objects) # Merge parameters with defaults if parameters is None: parameters = default_parameters() if isinstance(parameters, dict) and not isinstance(parameters, ParameterDict): o = parameters parameters = default_parameters() parameters.update(o) # Default prefix shows where the module was compiled prefix = parameters.code.prefix if not prefix: prefix = "sfc_jit" # Build module signature and classnames from input signature = cache_signature(input, parameters) formclassnames = [form_classname(fd.preprocessed_form, parameters) for fd in formdatas] dmclassnames = [dof_map_classname(e) for e in ufl_elements] feclassnames = [finite_element_classname(e) for e in ufl_elements] # Placeholder for the up and coming compiled module module = None # Hacky hook for profiling without the C++ compilation if parameters.compilation.skip: pass else: # Possibly force recompilation if parameters.compilation.overwrite_cache: sfc_warning("Complete implementation of overwrite_cache not done, but skipping cache lookup before code generation.") # TODO: delete existing module with signature or module_name else: # Check cache before generating code module = instant.import_module(signature) # Construct ufc::form object if module: sfc_info("Found module in cache.") if module is None: # Store original path, to restore later orig_dir = os.getcwd() # Build module name, then shorten if it's too long module_dir_name = "_".join(["_".join(formclassnames), "_".join(dmclassnames), "_".join(feclassnames)]) module_dir_name = short_name(prefix, module_dir_name) # Make sure the module directory is there and empty module_dir = os.path.abspath(module_dir_name) if os.path.exists(module_dir): sfc_warning("Possibly overwriting files in existing module directory '%s'." % module_dir) else: os.mkdir(module_dir) # Enter module directory and generate code! try: os.chdir(module_dir) # Write parameters, signature and form representations to files beside code write_file("parameters.repr", repr(parameters)) write_file("signature", signature) for fd in formdatas: write_file("%s.repr" % short_name("form_", fd.name), repr(fd.preprocessed_form)) for ue in ufl_elements: write_file("%s.repr" % short_name("element_", base_element_classname(ue)), repr(ue)) # Generate code! hfilenames, cfilenames = generate_code(ufl_elements + formdatas, objects, parameters) # Hook for profiling without the C++ compilation if parameters.compilation.skip: return None finally: # Restore original path os.chdir(orig_dir) # Invoke Instant to compile generated files as a Python extension module module = compile_module(module_dir, hfilenames, cfilenames, signature, parameters) # Remove temporary module directory if code was copied to cache placed_in_cache = False # TODO if placed_in_cache: sfc_info("Module was placed in cache, deleting module directory '%s'." % module_dir) shutil.rmtree(module_dir) if module is None: sfc_error("Failed to load compiled module from cache.") # If we get here, 'module' should be our compiled module. # TODO: Handle mixed list of forms and elements? # Got forms, return forms if formdatas: prefix = "sfc dummy prefix for pydolfin which I have no idea what is used for" ufc_forms = [getattr(module, name) for name in formclassnames] if list_input: return ufc_forms, module, formdatas, [prefix]*len(ufc_forms) else: return ufc_forms[0], module, formdatas[0], prefix # Got elements, return elements elif ufl_elements: ufc_elements = [(getattr(module, fe)(), getattr(module, dm)()) for (fe, dm) in zip(feclassnames, dmclassnames)] if list_input: return ufc_elements else: return ufc_elements[0] msg = "Nothing to return, this shouldn't happen.\ninput =\n%r" % repr(input) sfc_error(msg) syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/0000755000175000017500000000000011674103625022565 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/representation/__init__.py0000644000175000017500000000100211672223006024661 0ustar johannrjohannr from sfc.representation.elementrepresentation import ElementRepresentation from sfc.representation.formrepresentation import FormRepresentation from sfc.representation.integralrepresentation import IntegralRepresentation from sfc.representation.cellintegralrepresentation import CellIntegralRepresentation from sfc.representation.exteriorfacetintegralrepresentation import ExteriorFacetIntegralRepresentation from sfc.representation.interiorfacetintegralrepresentation import InteriorFacetIntegralRepresentation syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/integralrepresentation.py0000644000175000017500000005247011672223006027731 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains representation classes for integrals. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-08-13 # Last changed: 2009-03-12 from itertools import izip #import SyFi import swiginac #import ufl from ufl.permutation import compute_indices from ufl.algorithms import Graph, partition, expand_indices2, expand_indices, strip_variables, tree_format from ufl.classes import Expr, Terminal, UtilityType, SpatialDerivative, Indexed from sfc.common import sfc_assert, sfc_warning, sfc_debug, sfc_error from sfc.common.utilities import indices_subset from sfc.codegeneration.codeformatting import indent, row_major_index_string from sfc.symbolic_utils import symbols, symbol from sfc.representation.swiginac_eval import SwiginacEvaluator, EvaluateAsSwiginac def find_locals(Vin, Vout, P): # Count the number of vertices depending on each vertex Vcount = [len(vi) for vi in Vin] # Count down all dependencies internally in the partition, O(|E| log|P|) Pset = set(P) for i in P: # v_i is in our partition for j in Vout[i]: # v_i depends on v_j if j in Pset: # is v_j in our partition? Vcount[j] -= 1 # don't count with internal dependencies in partition # Return mapping (v_i -> is_local_to_P) for all v_i in P return dict((i, (Vcount[i] == 0)) for i in P) def is_simple(e): return (e.nops() == 0) # TODO: Try something like this: #return (e.nops() == 0) or \ # (isinstance(e, (swiginac.add, swiginac.mul)) \ # and all(o.nops() for o in e.ops())) class IntegralData: def __init__(self, itgrep, integral): self.itgrep = itgrep self.integral = integral # TODO: Override these and other options with metadata metadata = integral.measure().metadata() self.integration_method = itgrep.options.integration_method self.integration_order = itgrep.options.integration_order self.quad_rule = None self.facet_quad_rules = None self.G = None self.Vdeps = None self.Vin_count = None self.partitions = {} self.evaluator = None self.evaluate = None self.V_symbols = {} self.vertex_data_set = {} def store(self, value, i, basis_functions): #print "STORING AT", i, basis_functions, str(value) vd = self.vertex_data_set.get(basis_functions) if vd is None: vd = {} self.vertex_data_set[basis_functions] = vd vd[i] = value def get_vd(self, j, basis_functions): jkeep = [(("v%d" % k) in self.Vdeps[j]) for k in range(self.itgrep.formrep.rank)] iota, = indices_subset([basis_functions], jkeep) if all(i is None for i in iota): iota = () vd = self.vertex_data_set[iota] return vd def fetch_storage(self, j, basis_functions): vd = self.get_vd(j, basis_functions) return vd[j] def free_storage(self, j, basis_functions): "Delete stored data for j." vd = self.get_vd(j, basis_functions) #del vd[j] # FIXME: Enable when counts are corrected class IntegralRepresentation(object): def __init__(self, integrals, formrep, on_facet): sfc_debug("Entering IntegralRepresentation.__init__") self.integrals = integrals self.formrep = formrep self._on_facet = on_facet self.classname = formrep.itg_names[integrals[0]] self.options = self.formrep.options.code.integral # Shape of element tensor A_shape = [] for i in range(self.formrep.rank): element = self.formrep.formdata.elements[i] rep = self.formrep.element_reps[element] A_shape.append(rep.local_dimension) self.A_shape = tuple(A_shape) # All permutations of element tensor indices TODO: Not same for interior_facet_integrals, move to subclasses self.indices = compute_indices(self.A_shape) # Symbols for output tensor entry A[iota] Asym = symbols("A[%s]" % row_major_index_string(i, self.A_shape) for i in self.indices) self.A_sym = dict(izip(self.indices, Asym)) # Data structures for token symbols self._free_symbols = [] self._symbol_counter = 0 # Data structures to hold integrals for each measure self.symbolic_integral = None # Only a single symbolic integral is allowed self.quadrature_integrals = [] # Multiple quadrature integrals are possible, each with different quadrature rules self.integral_data = {} # Convenient mapping from measure to IntegralData object # Compute data about integrals for each measure fd = self.formrep.formdata for integral in self.integrals: data = IntegralData(self, integral) if data.integration_method == "symbolic": self.symbolic_integral = integral data.evaluator = SwiginacEvaluator(self.formrep, use_symbols=False, on_facet=self._on_facet) elif data.integration_method == "quadrature": # FIXME: Build a separate quadrature rule for each integral, if necessary data.quad_rule = self.formrep.quad_rule data.facet_quad_rules = self.formrep.facet_quad_rules self.quadrature_integrals.append(integral) if self.options.safemode: # Produce naive code, good for debugging and verification data.evaluator = SwiginacEvaluator(self.formrep, use_symbols=True, on_facet=self._on_facet) else: # Create an evaluation multifunction data.evaluate = EvaluateAsSwiginac(self.formrep, self, data, on_facet=self._on_facet) # Expand all indices before building graph integrand = integral.integrand() integrand = strip_variables(integrand) if self.options.use_expand_indices2: integrand = expand_indices2(integrand) else: integrand = expand_indices(integrand) # Build linearized computational graph data.G = Graph(integrand) # Count dependencies for each node V = data.G.V() n = len(V) data.Vin_count = [0]*n for i, vs in enumerate(data.G.Vin()): for j in vs: vj = V[j] # ... FIXME: Need to store one counter for each iota relevant for i, and to add "size(iota_space_j)" instead of 1 data.Vin_count[i] += 1 #data.Vin_count[-1] += ... # FIXME: Increment further for integrand root vertex # Partition graph based on dependencies #basis_function_deps = [set(("v%d" % i, "x")) \ # for (i, bf) in enumerate(fd.basis_functions)] #function_deps = [set(("w", "c", "x",)) \ # for (i, bf) in enumerate(fd.functions)] # TODO: Input actual dependencies of functions and # basis functions and their derivatives here data.partitions, data.Vdeps = partition(data.G) self.integral_data[integral.measure()] = data sfc_debug("Leaving IntegralRepresentation.__init__") # --- Printing --- def __str__(self): s = "" s += "IntegralRepresentation:\n" s += " classname: %s\n" % self.classname s += " A_shape: %s\n" % self.A_shape s += " indices: %s\n" % self.indices s += " A_sym: %s\n" % self.A_sym # Not computing whole A at any point because of memory usage #s += " A:\n" #for ii in self.indices: # s += " %s = %s\n" % (self.A_sym[ii], self.A[ii]) s += " UFL Integrals:\n" for integral in self.integrals: s += indent(str(integral)) + "\n\n" return s.strip("\n") # --- Utilities for allocation of symbols and association of data with graph vertices --- def allocate(self, data, j): """Allocate symbol(s) for vertex j. Either gets symbol from the free symbol set or creates a new symbol and increases the symbol counter.""" if self._free_symbols: return self._free_symbols.pop() s = symbol("s[%d]" % self._symbol_counter) self._symbol_counter += 1 data.V_symbols[j] = s return s def free_symbols(self, data, j): "Delete stored data for j and make its symbols available again." s = data.V_symbols.get(j) if s is None: sfc_debug("Trying to deallocate symbols that are not allocated!") return self._free_symbols.append(s) del data.V_symbols[j] # --- Generators for tokens of various kinds --- def iter_partition(self, data, deps, basis_functions=()): sfc_debug("Entering IntegralRepresentation.iter_partition") deps = frozenset(deps) P = data.partitions.get(deps) if not P: sfc_debug("Leaving IntegralRepresentation.iter_partition, empty") return data.evaluate.current_basis_function = basis_functions # Get graph components G = data.G V = G.V() E = G.E() Vin = G.Vin() Vout = G.Vout() # Figure out which variables are only needed within the partition is_local = find_locals(Vin, Vout, P) # For all vertices in partition P for i in P: v = V[i] if isinstance(v, UtilityType): # Skip labels and indices continue if v.shape(): # Skip expressions with shape: they will be evaluated when indexed. if not isinstance(v, (Terminal, SpatialDerivative)): print "="*30 print "type:", type(v) print "str:", str(v) print "child types:", [type(V[j]) for j in Vout[i]] print "child str:" print "\n".join( " vertex %d: %s" % (j, str(V[j])) for j in Vout[i] ) print "number of parents:", len(Vin[i]) if len(Vin[i]) < 5: print "parent types:", [type(V[j]) for j in Vin[i]] #print "parent str:" #print "\n".join( " vertex %d: %s" % (j, str(V[j])) for j in Vin[i] ) sfc_error("Expecting all indexing to have been propagated to terminals?") continue if Vin[i] and all(isinstance(V[j], SpatialDerivative) for j in Vin[i]): # Skipping expressions that only occur later in # differentiated form: we don't need their non-differentiated # expression so they will be evaluated when indexed. if not isinstance(v, (Terminal, SpatialDerivative, Indexed)): print "="*30 print type(v) print str(v) sfc_error("Expecting all indexing to have been propagated to terminals?") continue if isinstance(v, (Indexed, SpatialDerivative)): ops = v.operands() # Evaluate vertex v with given mapped ops if not all(isinstance(o, (Expr, swiginac.basic)) for o in ops): print ";"*80 print tree_format(v) print str(v) print type(ops) print str(ops) print repr(ops) print "types:" print "\n".join(str(type(o)) for o in ops) print ";"*80 e = data.evaluate(v, *ops) else: # Get already computed operands # (if a vertex isn't already computed # at this point, that is a bug) ops = [] for j in Vout[i]: try: # Fetch expression or symbol for vertex j e = data.fetch_storage(j, basis_functions) except: print "Failed to fetch expression for vertex %d," % j print " V[%d] = %s" % (j, repr(V[j])) print " parent V[%d] = %s" % (i, repr(V[i])) raise RuntimeError ops.append(e) ops = tuple(ops) e = data.evaluate(v, *ops) # TODO: Make sure that dependencies of skipped expressions # are counted down when evaluated later! # Or do we need that? We don't make symbols for them anyway. # Count down number of uses of v's dependencies for j in Vout[i]: # For each vertex j that depend on vertex i data.Vin_count[j] -= 1 if False: # data.Vin_count[j] == 0: # FIXME: This doesn't work yet, counters are wrong # Make the symbols for j available again self.free_symbols(data, j) data.free_storage(j, basis_functions) # Store some result for vertex i and yield token based on some heuristic if is_simple(e): # Store simple expression associated with # vertex j, no code generation necessary data.store(e, i, basis_functions) else: if is_local[i]: pass # TODO: Use this information to make a local set of symbols "sl[%d]" for each partition # Allocate a symbol and remember it, just throw away the expression s = self.allocate(data, i) data.store(s, i, basis_functions) # Only yield when we have a variable to generate code for! yield (s, e) sfc_debug("Leaving IntegralRepresentation.iter_partition") # Some stuff from the old code: #bf = self._current_basis_function # FIXME: Filter depending on deps! #key = tuple(chain((count,), component, index_values, bf)) #compstr = "_".join("%d" % k for k in key) #vname = "s_%s" % compstr # Register token (s, e) with variable v in evaluator, # such that it can return it from evaluator.variable #self.evaluator._variable2symbol[key] = vsym def iter_member_quad_tokens(self, data): # FIXME: Make this into precomputation of a static array of constants "Return an iterator over member tokens dependent of spatial variables. Overload in subclasses!" assert data.integration_method == "quadrature" # TODO: Precompute basis function values symbolically here instead of generating a loop in the constructor # TODO: Skip what's not needed! # Precompute all basis functions fr = self.formrep fd = fr.formdata generated = set() for iarg in range(fr.rank + fr.num_coefficients): elm = fd.elements[iarg] rep = fr.element_reps[elm] for i in range(rep.local_dimension): for component in rep.value_components: # Yield basis function itself s = fr.v_sym(iarg, i, component, self._on_facet) if not (s == 0 or s in generated): e = fr.v_expr(iarg, i, component) t = (s, e) yield t generated.add(s) # Yield its derivatives w.r.t. local coordinates for d in range(fr.cell.nsd): der = (d,) s = fr.dv_sym(iarg, i, component, der, self._on_facet) if not (s == 0 or s in generated): e = fr.dv_expr(iarg, i, component, der) t = (s, e) yield t generated.add(s) def iter_geometry_tokens(self): "Return an iterator over geometry tokens independent of spatial variables. Overload in subclasses!" fr = self.formrep # TODO: Skip what's not needed! # vx for (ss,ee) in zip(fr.vx_sym, fr.vx_expr): for i in range(ss.nops()): yield (ss.op(i), ee.op(i)) # G (ss,ee) = (fr.G_sym, fr.G_expr) for i in range(ss.nops()): yield (ss.op(i), ee.op(i)) # detG yield (fr.detGtmp_sym, fr.detGtmp_expr) yield (fr.detG_sym, fr.detG_expr) # Ginv (ss,ee) = (fr.Ginv_sym, fr.Ginv_expr) for i in range(ss.nops()): yield (ss.op(i), ee.op(i)) if self._on_facet: # Needed for normal vector TODO: Skip if not needed yield (fr.detG_sign_sym, fr.detG_sign_expr) else: if self.symbolic_integral is not None: # Scaling by cell volume factor, determinant of coordinate mapping yield (fr.D_sym, fr.detG_sym) def iter_runtime_quad_tokens(self, data): "Return an iterator over runtime tokens dependent of spatial variables. Overload in subclasses!" assert data.integration_method == "quadrature" # TODO: yield geometry tokens like G etc here instead if they depend on x,y,z # TODO: Skip what's not needed! # Generate all basis function derivatives fr = self.formrep fd = fr.formdata generated = set() for iarg in range(fr.rank + fr.num_coefficients): elm = fd.elements[iarg] rep = fr.element_reps[elm] for i in range(rep.local_dimension): for component in rep.value_components: # Yield first order derivatives w.r.t. global coordinates for d in range(fr.cell.nsd): der = (d,) s = fr.Dv_sym(iarg, i, component, der, self._on_facet) if not (s == 0 or s in generated): e = fr.Dv_expr(iarg, i, component, der, True, self._on_facet) t = (s, e) yield t generated.add(s) # Currently placing all w in here: generated = set() for iarg in range(fr.num_coefficients): elm = fd.elements[fr.rank+iarg] rep = fr.element_reps[elm] for component in rep.value_components: # Yield coefficient function itself s = fr.w_sym(iarg, component) if not s in generated: e = fr.w_expr(iarg, component, True, self._on_facet) t = (s, e) yield t generated.add(s) # Yield first order derivatives w.r.t. global coordinates for d in range(fr.cell.nsd): der = (d,) s = fr.Dw_sym(iarg, component, der) if not (s == 0 or s in generated): e = fr.Dw_expr(iarg, component, der, True, self._on_facet) t = (s, e) yield t generated.add(s) # Scaling factor if self._on_facet: # TODO: yield tokens that depend on both x and facet here # Scaling by facet area factor D_expr = fr.quad_weight_sym*fr.facet_D_sym else: # Scaling by cell volume factor, determinant of coordinate mapping D_expr = fr.quad_weight_sym*fr.detG_sym yield (fr.D_sym, D_expr) # --- Element tensor producers def iter_A_tokens(self, data, facet=None): "Iterate over all A[iota] tokens." for iota in self.indices: A_sym = self.A_sym[iota] A_expr = self.compute_A(data, iota, facet) yield (A_sym, A_expr) def compute_A(self, data, iota, facet=None): "Compute expression for A[iota]. Overload in subclasses!" raise NotImplementedError syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/interiorfacetintegralrepresentation.py0000644000175000017500000000217011672223006032500 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains the representation class for interior facet integrals. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-10-17 # Last changed: 2009-03-05 from sfc.representation.integralrepresentation import IntegralRepresentation class InteriorFacetIntegralRepresentation(IntegralRepresentation): def __init__(self, integrals, formrep): IntegralRepresentation.__init__(self, integrals, formrep, True) syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/swiginac_eval.py0000644000175000017500000004157111672223006025754 0ustar johannrjohannr"""This module defines evaluation algorithms for converting converting UFL expressions to swiginac representation.""" # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-08-22 # Last changed: 2009-03-19 from collections import defaultdict from itertools import izip, chain import swiginac from ufl import * from ufl.classes import * from ufl.common import some_key, product, Stack, StackDict from ufl.algorithms.transformations import Transformer, MultiFunction from ufl.permutation import compute_indices from sfc.common import sfc_assert, sfc_error, sfc_warning from sfc.symbolic_utils import symbol, symbols class EvaluateAsSwiginac(MultiFunction): def __init__(self, formrep, itgrep, data, on_facet): # TODO: Remove unused arguments after implementing: MultiFunction.__init__(self) self.formrep = formrep self.itgrep = itgrep self.data = data self.on_facet = on_facet self.current_basis_function = (None,)*formrep.rank ### Fallback handlers: def expr(self, o, *ops): sfc_error("Evaluation not implemented for expr %s." % type(o).__name__) def terminal(self, o, *ops): sfc_error("Evaluation not implemented for terminal %s." % type(o).__name__) ### Terminals: def zero(self, o): return swiginac.numeric(0) def scalar_value(self, o): return swiginac.numeric(o.value()) def spatial_coordinate(self, o, component=(), derivatives=()): # Called by indexed if component: # 2D, 3D c, = component else: # 1D c = 0 if derivatives: if len(derivatives) > 1: return swiginac.numeric(0) d, = derivatives if d == c: return swiginac.numeric(1) return swiginac.numeric(0) return self.formrep.x_sym[c] def facet_normal(self, o, component=(), derivatives=()): # Called by indexed sfc_assert(self.on_facet, "Expecting to be on a facet in facet_normal.") if derivatives: return swiginac.numeric(0) if component: # 2D, 3D c, = component else: # 1D c = 0 return self.formrep.n_sym[c] def argument(self, o, component=(), derivatives=()): # Assuming renumbered arguments! iarg = o.count() sfc_assert(iarg >= 0, "Argument count shouldn't be negative.") sfc_assert(isinstance(component, tuple), "Expecting tuple for component.") j = self.current_basis_function[iarg] if derivatives: s = self.formrep.Dv_sym(iarg, j, component, derivatives, self.on_facet) e = self.formrep.Dv_expr(iarg, j, component, derivatives, False, self.on_facet) # FIXME: use_symbols = False -> can do better else: s = self.formrep.v_sym(iarg, j, component, self.on_facet) e = self.formrep.v_expr(iarg, j, component) if e.nops() == 0: return e # FIXME: Avoid generating code for s when not using it return s def coefficient(self, o, component=(), derivatives=()): # Assuming renumbered arguments! iarg = o.count() sfc_assert(iarg >= 0, "Coefficient count shouldn't be negative.") sfc_assert(isinstance(component, tuple), "Expecting tuple for component.") if derivatives: s = self.formrep.Dw_sym(iarg, component, derivatives) e = self.formrep.Dw_expr(iarg, component, derivatives, False, self.on_facet) # FIXME: use_symbols = False -> can do better else: # w^i_h(x) = \sum_j w[i][j] * phi^i_j(x) s = self.formrep.w_sym(iarg, component) e = self.formrep.w_expr(iarg, component, False, self.on_facet) # FIXME: use_symbols = False -> can do better if e.nops() == 0: return e # FIXME: Avoid generating code for s when not using it return s ### Indexing and derivatives: def multi_index(self, o): return tuple(map(int, o)) def spatial_derivative(self, o, f, i, component=(), derivatives=()): derivatives = sorted(derivatives + self.multi_index(i)) if isinstance(f, Indexed): # Since expand_indices moves Indexed in to the terminals, # SpatialDerivative can be outside an Indexed sfc_assert(component == (), "Expecting no component outside of Indexed!") A, ii = f.operands() component = self.multi_index(ii) return self(A, component, derivatives) return self(f, component, derivatives) def indexed(self, o, A, ii): # Passes on control to one of: #def argument(self, o, component): #def coefficient(self, o, component): #def facet_normal(self, o, component): #def spatial_coordinate(self, o, component): #def spatial_derivative(self, o, component): component = self.multi_index(ii) if isinstance(A, SpatialDerivative): f, i = A.operands() return self.spatial_derivative(A, f, i, component) return self(A, component) ### Algebraic operators: def power(self, o, a, b): return a**b def sum(self, o, *ops): return sum(ops) def product(self, o, *ops): return product(ops) def division(self, o, a, b): return a / b def abs(self, o, a): return swiginac.abs(a) ### Basic math functions: def sqrt(self, o, a): return swiginac.sqrt(a) def exp(self, o, a): return swiginac.exp(a) def ln(self, o, a): return swiginac.log(a) def cos(self, o, a): return swiginac.cos(a) def sin(self, o, a): return swiginac.sin(a) def variable(self, o): sfc_error("Should strip away variables before building graph.") # FIXME: Implement all missing operators here class SwiginacEvaluator(Transformer): "Algorithm for evaluation of an UFL expression as a swiginac expression." def __init__(self, formrep, use_symbols, on_facet): Transformer.__init__(self)#, variable_cache) # input self._formrep = formrep self._use_symbols = use_symbols self._on_facet = on_facet # current basis function configuration self._current_basis_function = tuple(0 for i in range(formrep.rank)) # current indexing status self._components = Stack() self._index2value = StackDict() # code and cache structures # FIXME: Need pre-initialized self._variable2symbol and self._tokens self._variable2symbol = {} self._tokens = [] # convenience variables self.nsd = self._formrep.cell.nsd def pop_tokens(self): # TODO: Make a generator approach to this? Allow handlers to trigger a "token yield"? t = self._tokens self._tokens = [] return t def update(self, iota): self._current_basis_function = tuple(iota) def component(self): "Return current component tuple." if len(self._components): return self._components.peek() return () ### Fallback handlers: def expr(self, x): sfc_error("Missing ufl to swiginac handler for type %s" % str(type(x))) def terminal(self, x): sfc_error("Missing ufl to swiginac handler for terminal type %s" % str(type(x))) ### Handlers for basic terminal objects: def zero(self, x): #sfc_assert(len(self.component()) == len(x.shape()), "Index component length mismatch in zero tensor!") return swiginac.numeric(0) def scalar_value(self, x): #sfc_assert(self.component() == (), "Shouldn't have any component at this point.") return swiginac.numeric(x._value) def identity(self, x): c = self.component() v = 1 if c[0] == c[1] else 0 return swiginac.numeric(v) def argument(self, x): iarg = x.count() sfc_assert(iarg >= 0, "Argument count shouldn't be negative.") j = self._current_basis_function[iarg] c = self.component() if self._use_symbols: return self._formrep.v_sym(iarg, j, c, self._on_facet) else: return self._formrep.v_expr(iarg, j, c) def coefficient(self, x): iarg = x.count() c = self.component() if self._use_symbols: return self._formrep.w_sym(iarg, c) else: # w^i_h(x) = \sum_j w[i][j] * phi^i_j(x) return self._formrep.w_expr(iarg, c, False, self._on_facet) def facet_normal(self, x): sfc_assert(self._on_facet, "Expecting to be on a facet in facet_normal.") c, = self.component() return self._formrep.n_sym[c] def spatial_coordinate(self, x): c, = self.component() return self._formrep.x_sym[c] ### Handler for variables: def variable(self, x): return self.visit(x._expression) def garbage(self, x): # TODO: Maybe some of the ideas here can be used in code generation c = self.component() index_values = tuple(self._index2value[k] for k in x._expression.free_indices()) # TODO: Doesn't always depend on _current_basis_function, this is crap: key = (x.count(), c, index_values, self._current_basis_function) vsym = self._variable2symbol.get(key) if vsym is None: expr = self.visit(x._expression) # TODO: Doesn't always depend on _current_basis_function, this is crap: compstr = "_".join("%d" % k for k in chain(c, index_values, self._current_basis_function)) vname = "_".join(("t_%d" % x.count(), compstr)) vsym = symbol(vname) self._variable2symbol[key] = vsym self._tokens.append((vsym, expr)) ### Handlers for basic algebra: def sum(self, x, *ops): return sum(ops) def index_sum(self, x): ops = [] summand, multiindex = x.operands() index, = multiindex for i in range(x.dimension()): self._index2value.push(index, i) ops.append(self.visit(summand)) self._index2value.pop() return sum(ops) def product(self, x): sfc_assert(not self.component(), "Non-empty indexing component in product!") ops = [self.visit(o) for o in x.operands()] return product(ops) # ... def division(self, x, a, b): return a / b def power(self, x, a, b): return a ** b def abs(self, x, a): return swiginac.abs(a) ### Basic math functions: def sqrt(self, x, y): return swiginac.sqrt(y) def exp(self, x, y): return swiginac.exp(y) def ln(self, x, y): return swiginac.log(y) def cos(self, x, y): return swiginac.cos(y) def sin(self, x, y): return swiginac.sin(y) ### Index handling: def multi_index(self, x): subcomp = [] for i in x: if isinstance(i, FixedIndex): subcomp.append(i._value) elif isinstance(i, Index): subcomp.append(self._index2value[i]) return tuple(subcomp) def indexed(self, x): A, ii = x.operands() self._components.push(self.visit(ii)) result = self.visit(A) self._components.pop() return result ### Container handling: def old_list_tensor(self, x): # doesn't support e.g. building a matrix from vector rows component = self.component() sfc_assert(len(component) > 0 and \ all(isinstance(i, int) for i in component), "Can't index tensor with %s." % repr(component)) # Hide indexing when evaluating subexpression self._components.push(()) # Get scalar UFL subexpression from tensor e = x for i in component: e = e._expressions[i] sfc_assert(e.shape() == (), "Expecting scalar expression "\ "after extracting component from tensor.") # Apply conversion to scalar subexpression r = self.visit(e) # Return to previous component state self._components.pop() return r def list_tensor(self, x): # Pick the right subtensor and subcomponent c = self.component() c0, c1 = c[0], c[1:] op = x.operands()[c0] # Evaluate subtensor with this subcomponent self._components.push(c1) r = self.visit(op) self._components.pop() return r def component_tensor(self, x): # this function evaluates the tensor expression # with indices equal to the current component tuple expression, indices = x.operands() sfc_assert(expression.shape() == (), "Expecting scalar base expression.") # update index map with component tuple values comp = self.component() sfc_assert(len(indices) == len(comp), "Index/component mismatch.") for i, v in izip(indices._indices, comp): self._index2value.push(i, v) self._components.push(()) # evaluate with these indices result = self.visit(expression) # revert index map for i in range(len(comp)): self._index2value.pop() self._components.pop() return result ### Differentiation: def _ddx(self, f, i): """Differentiate swiginac expression f w.r.t. x_i, using df/dx_i = df/dxi_j dxi_j/dx_i.""" Ginv = self._formrep.Ginv_sym xi = self._formrep.xi_sym return sum(Ginv[j, i] * swiginac.diff(f, xi[j]) for j in range(self.nsd)) def spatial_derivative(self, x): # Assuming that AD has been applied, so # the expression to differentiate is always a Terminal. f, ii = x.operands() sfc_assert(isinstance(f, Terminal), \ "Expecting to differentiate a Terminal object, you must apply AD first!") # The exception is higher order derivatives, ignoring for now # Get component and derivative directions c = self.component() der = self.visit(ii) # --- Handle derivatives of basis functions if isinstance(f, Argument): iarg = f.count() i = self._current_basis_function[iarg] if self._use_symbols: return self._formrep.Dv_sym(iarg, i, c, der, self._on_facet) else: return self._formrep.Dv_expr(iarg, i, c, der, False, self._on_facet) # --- Handle derivatives of coefficient functions if isinstance(f, Coefficient): iarg = f.count() if self._use_symbols: return self._formrep.Dw_sym(iarg, c, der) else: return self._formrep.Dw_expr(iarg, c, der, False, self._on_facet) # --- Handle derivatives of geometry objects if isinstance(f, FacetNormal): return swiginac.numeric(0.0) if isinstance(f, SpatialCoordinate): c, = c if der[0] == c: return swiginac.numeric(1.0) else: return swiginac.numeric(0.0) sfc_error("Eh?") def derivative(self, x): sfc_error("Derivative shouldn't occur here, you must apply AD first!") ### Interior facet stuff: def positive_restricted(self, x, y): sfc_error("TODO: Restrictions not implemented!") return y def negative_restricted(self, x, y): sfc_error("TODO: Restrictions not implemented!") return y ### These require code structure and thus shouldn't occur in SwiginacEvaluator # (i.e. any conditionals should be handled externally) #d[EQ] = #d[NE] = #d[LE] = #d[GE] = #d[LT] = #d[GT] = ### These are replaced by expand_compounds, so we skip them here: #d[Identity] = #d[Transposed] = #d[Outer] = #d[Inner] = #d[Dot] = #d[Cross] = #d[Trace] = #d[Determinant] = #d[Inverse] = #d[Deviatoric] = #d[Cofactor] = #d[Grad] = #d[Div] = #d[Curl] = #d[Rot] = syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/exteriorfacetintegralrepresentation.py0000644000175000017500000000745011672223006032514 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains representation classes for integrals. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-16 import swiginac from sfc.common import sfc_assert, sfc_debug from sfc.representation.integralrepresentation import IntegralRepresentation class ExteriorFacetIntegralRepresentation(IntegralRepresentation): def __init__(self, integrals, formrep): IntegralRepresentation.__init__(self, integrals, formrep, True) def iter_facet_tokens(self, facet): fr = self.formrep nsd = fr.cell.nsd # Facet mapping FIXME (needed anywere? quadrature on facets?) #for (s,e) in zip(fr.facet_G_sym, fr.facet_G_expr[facet]): # yield (s,e) s = fr.facet_D_sym e = fr.facet_D_expr[facet] yield (s, e) # Facet normal for i in range(nsd): yield (fr.n_sym[i], fr.n_expr[facet][i]) # Scaling factor if self.symbolic_integral is not None: yield (fr.D_sym, fr.facet_D_sym) def compute_A(self, data, iota, facet=None): "Compute expression for A[iota]. Overload in subclasses!" integrand = data.integral.integrand() if data.integration_method == "quadrature": sfc_assert(facet is None, "Not expecting facet number.") if self.options.safemode: data.evaluator.update(iota) integrand = data.evaluator.visit(integrand) else: n = len(data.G.V()) try: integrand = data.vertex_data_set[iota][n-1] except: print data.vertex_data_set raise RuntimeError D = self.formrep.D_sym A = integrand * D if self.formrep.options.output.enable_debug_prints: sfc_debug("In compute_A(", iota, "):") sfc_debug(" data.integral.integrand() = ", data.integral.integrand()) sfc_debug(" integrand = ", integrand) sfc_debug(" A = ", A) elif data.integration_method == "symbolic": sfc_assert(isinstance(facet, int), "Expecting facet number.") data.evaluator.update(iota) integrand = data.evaluator.visit(integrand) D = self.formrep.D_sym polygon = self.formrep.cell.facet_polygons[facet] if isinstance(polygon, swiginac.matrix): # 1D repmap = swiginac.exmap() repmap[self.formrep.xi_sym[0]] = polygon[0] A = integrand.subs(repmap) * D else: A = polygon.integrate(integrand) * D if self.formrep.options.output.enable_debug_prints: sfc_debug("In compute_A(", iota, "):") sfc_debug(" data.integral.integrand() = ", data.integral.integrand()) sfc_debug(" integrand = ", integrand) sfc_debug(" A = ", A) return A syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/cellintegralrepresentation.py0000644000175000017500000000530111672223006030560 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains the representation class for cell integrals. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-03-17 from sfc.common import sfc_assert, sfc_debug from sfc.representation.integralrepresentation import IntegralRepresentation class CellIntegralRepresentation(IntegralRepresentation): def __init__(self, integrals, formrep): IntegralRepresentation.__init__(self, integrals, formrep, False) def compute_A(self, data, iota, facet=None): "Compute expression for A[iota]. Overload in subclasses!" if data.integration_method == "quadrature": if self.options.safemode: integrand = data.integral.integrand() data.evaluator.update(iota) integrand = data.evaluator.visit(integrand) else: n = len(data.G.V()) integrand = data.vertex_data_set[iota][n-1] D = self.formrep.D_sym A = integrand * D if self.formrep.options.output.enable_debug_prints: sfc_debug("In compute_A(", iota, "):") sfc_debug(" data.integral.integrand() = ", data.integral.integrand()) sfc_debug(" integrand = ", integrand) sfc_debug(" A = ", A) elif data.integration_method == "symbolic": integrand = data.integral.integrand() data.evaluator.update(iota) integrand = data.evaluator.visit(integrand) detG = self.formrep.detG_sym polygon = self.formrep.cell.polygon A = polygon.integrate(integrand) * detG if self.formrep.options.output.enable_debug_prints: sfc_debug("In compute_A(", iota, "):") sfc_debug(" data.integral.integrand() = ", data.integral.integrand()) sfc_debug(" integrand = ", integrand) sfc_debug(" A = ", A) return A syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/elementrepresentation.py0000644000175000017500000005220411672223006027550 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains functions and classes converting from UFL to internal SyFi representations of elements. """ # Copyright (C) 2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # Modified by Kent-Andre Mardal, 2010. # # First added: 2008-08-13 # Last changed: 2008-12-16 import operator import ufl import swiginac import SyFi from ufl.common import component_to_index, index_to_component from sfc.symbolic_utils import grad, ddx, symbols, symbolic_matrix from sfc.geometry import UFCCell from sfc.common.names import finite_element_classname, dof_map_classname from sfc.common import sfc_assert, sfc_info, sfc_warning, sfc_error, sfc_debug from sfc.common.options import default_parameters def product(sequence): return reduce(operator.__mul__, sequence, 1) # TODO: Replace nsd with topological and geometric dimensions # everywhere for clarity and future flexibility def test_polygon(polygon): print type(polygon) print dir(polygon) print polygon.no_space_dim() print polygon.str() def create_syfi_polygon(cell): sfc_debug("Entering create_syfi_polygon") if cell == "interval": p = SyFi.ReferenceLine() elif cell == "triangle": p = SyFi.ReferenceTriangle() elif cell == "tetrahedron": p = SyFi.ReferenceTetrahedron() elif cell == "quadrilateral": p = SyFi.ReferenceRectangle() elif cell == "hexahedron": p = SyFi.ReferenceBox() else: raise ValueError("Unknown element cell '%s'." % cell) sfc_debug("Leaving create_syfi_polygon") return p def create_syfi_element(e, polygon, default_order=1): "Create a basic element with SyFi." sfc_debug("Entering create_syfi_element") sfc_assert(not isinstance(e, ufl.MixedElement), "Only creating SyFi elements for basic elements.") f = e.family() # ensure that the element always have some degree, this should probably be d = e.degree() if not isinstance(d, int): d = default_order if f in ("Lagrange", "CG"): fe = SyFi.Lagrange(polygon, d) elif f in ("Discontinuous Lagrange", "DG"): if d == 0: fe = SyFi.P0(polygon, 0) else: fe = SyFi.DiscontinuousLagrange(polygon, d) elif f in ("Crouzeix-Raviart", "CR"): fe = SyFi.CrouzeixRaviart(polygon, d) elif f in ("Bubble", "B"): fe = SyFi.Bubble(polygon, d) elif f in ("Brezzi-Douglas-Marini", "BDM"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Brezzi-Douglas-Fortin-Marini", "BDFM"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Raviart-Thomas", "RT"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Nedelec 1st kind H(div)", "N1div"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Nedelec 2nd kind H(div)", "N2div"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Nedelec 1st kind H(curl)", "N1curl"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Nedelec 2nd kind H(curl)", "N2curl"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Quadrature", "Q"): raise NotImplementedError("Not implemented element family '%s'." % f) elif f in ("Boundary Quadrature", "BQ"): raise NotImplementedError("Not implemented element family '%s'." % f) else: raise NotImplementedError("Unknown element family '%s'." % f) sfc_debug("Leaving create_syfi_element") return fe #=============================================================================== # # swiginac.matrix(nsd, 1, dof_xi(fe,i)) # def dof_xi(fe, i): # """Return a swiginac column vector with the reference coordinates of dof i in fe, # assuming elements with point evaluation dofs.""" # dofi = fe.dof(i) # # check if the element is a scalar or vector element # if isinstance(dofi[0], swiginac.numeric): # dofi0 = dofi # elif isinstance(dofi[0], list): # dofi0 = dofi[0] # return dofi0 #=============================================================================== class ElementRepresentation(object): __slots__ = (#Administrative data: "options", "signature", "dof_map_classname", "finite_element_classname", # Element in other representations: "ufl_element", "syfi_element", # Cell data: "quad_rule", "ufl_cell", "polygon", "cell", # Dimensions: "local_dimension", "geometric_dimension", "topological_dimension", # Value shape info: "value_shape", "value_rank", "value_size", "value_components", # Subelement data "sub_elements", "sub_element_dof_offsets", "sub_element_value_offsets", # Caches for basis functions "_basis_function_cache", "_basis_function_derivative_cache", # Coordinate information: "dof_xi", "dof_x", # Topology information: "entity_dofs", "dof_entity", "num_entity_dofs", "facet_dofs", "num_facet_dofs", # Geometry symbols: "p0", "p", "G", "GinvT", ) def __init__(self, ufl_element, quad_rule=None, options=None, cache=None): sfc_debug("Entering ElementRepresentation.__init__") # Handle input and default values assert isinstance(ufl_element, ufl.FiniteElementBase) self.ufl_element = ufl_element self.quad_rule = quad_rule if options is None: self.options = default_parameters() else: self.options = options if cache is None: cache = {} # Some derived strings self.signature = repr(self.ufl_element) self.dof_map_classname = dof_map_classname(self.ufl_element) self.finite_element_classname = finite_element_classname(self.ufl_element) # Geometry information self.ufl_cell = self.ufl_element.cell() self.polygon = create_syfi_polygon(self.ufl_cell.domain()) self.cell = UFCCell(self.polygon) self.geometric_dimension = self.cell.nsd self.topological_dimension = self.cell.nsd # Handy information about value shape self.value_shape = self.ufl_element.value_shape() self.value_rank = len(self.value_shape) self.value_size = product(self.value_shape) self.value_components = ufl.permutation.compute_indices(self.value_shape) # Representations of subelements self.sub_elements = [] self.sub_element_dof_offsets = [] self.sub_element_value_offsets = [] if isinstance(self.ufl_element, ufl.MixedElement): dof_offset = 0 value_size_offset = 0 # Create ElementRepresentation objects for subelements, reuse if possible for se in ufl_element.sub_elements(): rep = cache.get(se, None) if rep is None: rep = ElementRepresentation(se, self.quad_rule, self.options, cache) cache[se] = rep self.sub_elements.append(rep) # Determine numbering offsets of subelements for dofs and values self.sub_element_dof_offsets.append(dof_offset) self.sub_element_value_offsets.append(value_size_offset) dof_offset += rep.local_dimension value_size_offset += rep.value_size # Appending final sizes makes some algorithms more elegant self.sub_element_dof_offsets.append(dof_offset) self.sub_element_value_offsets.append(value_size_offset) # No SyFi element, local dimension is the sum of subelement dimensions self.syfi_element = None self.local_dimension = dof_offset elif self.ufl_element.family() == "Quadrature": # No SyFi element, local dimension is the number of quadrature points self.syfi_element = None self.local_dimension = self.quad_rule.num_points elif self.ufl_element.family() == "Boundary Quadrature": # No SyFi element, local dimension is the number of quadrature points (TODO: On one facet or on all facets?) sfc_error("Boundary Quadrature elements not implemented!") self.syfi_element = None self.local_dimension = self.facet_quad_rule.num_points # TODO: *num_facets? elif self.ufl_element.family() == "Real": # No SyFi element, local dimension equals value size self.syfi_element = None self.local_dimension = self.value_size else: # Make SyFi element self.syfi_element = create_syfi_element(self.ufl_element, self.polygon, default_order=self.options.code.finite_element.default_order_of_element) self.local_dimension = self.syfi_element.nbf() # utility symbols self._def_symbols() # compute dof coordinates self._precomp_coords() # compute dof entity relations self._build_entity_dofs() self._build_facet_dofs() # initialize cache structures self._basis_function_cache = {} self._basis_function_derivative_cache = {} sfc_debug("Leaving ElementRepresentation.__init__") def _def_symbols(self): nsd = self.cell.nsd # ... x,y,z symbols for convenience self.p0 = swiginac.matrix(nsd, 1, symbols(["x0", "y0", "z0"][:nsd])) self.p = swiginac.matrix(nsd, 1, symbols(["x", "y", "z"][:nsd])) #self.x = swiginac.matrix(nsd, 1, symbols(["x0", "x1", "x2"][:nsd])) # TODO: Use these everywhere! self.x are global coordinates, self.xi are locals. #self.xi = swiginac.matrix(nsd, 1, symbols(["xi0", "xi1", "xi2"][:nsd])) # ... affine mapping symbols for convenience # TODO: Use J instead? self.G = symbolic_matrix(nsd, nsd, "G") self.GinvT = symbolic_matrix(nsd, nsd, "GinvT") def _dof_xi(self, i): "Compute local dof coordinate of dof i." nsd = self.cell.nsd if self.sub_elements: sub_element_index = self.dof_to_sub_element_index(i) sub_dof = i - self.sub_element_dof_offsets[sub_element_index] xi = self.sub_elements[sub_element_index]._dof_xi(sub_dof) elif self.ufl_element.family() == "Quadrature": xi = swiginac.matrix(nsd, 1, self.quad_rule.points[i]) elif self.ufl_element.family() == "Real": xi = swiginac.matrix(nsd, 1, [0.0]*nsd) else: # check if the element is a scalar or vector element dofi = self.syfi_element.dof(i) if isinstance(dofi[0], swiginac.numeric): # scalar element dof_xi_list = dofi elif isinstance(dofi[0], list): # vector element if isinstance(dofi[0][0], list): # compute midpoints midpoint = [0 for i in range(len(dofi[0][0]))] for d in dofi[0][0:]: for p, dp in enumerate(d): midpoint[p] += dp for p in range(len(d)): midpoint[p] /= len(dofi[0]) dof_xi_list = midpoint else: # use coordinate directly dof_xi_list = dofi[0] xi = swiginac.matrix(nsd, 1, dof_xi_list) return xi def _precomp_coords(self): "Precompute dof coordinates." self.dof_xi = [] self.dof_x = [] for i in range(self.local_dimension): # point coordinates for this dof in reference coordinates dof_xi = self._dof_xi(i) self.dof_xi.append(dof_xi) # apply geometry mapping to get global coordinates dof_x = (self.G.mul(dof_xi).add(self.p0)).evalm() # TODO: Assumes affine mapping! self.dof_x.append(dof_x) def _build_entity_dofs(self): # XXXReal: Does not make sense for Real "Build dof vs mesh entity relations." # TODO: This may be optimized if necessary for mixed elements, but maybe we don't care. # The basic structure we're building here is a list of lists of lists self.entity_dofs = [] for i in range(self.topological_dimension+1): lists = [[] for j in range(self.cell.num_entities[i])] self.entity_dofs.append(lists) if self.ufl_element.family() in ("Discontinuous Lagrange", "Quadrature"): # associate all dofs with the cell self.entity_dofs[self.topological_dimension][0] = list(range(self.local_dimension)) elif self.ufl_element.family() == "Boundary Quadrature": sfc_error("Boundary Quadrature not handled.") elif self.ufl_element.family() == "Real": pass #sfc_error("Real elements not handled.") else: # NB! Assuming location dof_xi coordinates match topological entity! # build dof list for each cell entity for k in range(self.local_dimension): (d, i) = self.cell.find_entity(self.dof_xi[k]) self.entity_dofs[d][i].append(k) # Build the inverse mapping: idof -> ((d, i), j) (Not currently used for anything) self.dof_entity = [None]*self.local_dimension for d in range(self.topological_dimension+1): for i in range(self.cell.num_entities[d]): for j, k in enumerate(self.entity_dofs[d][i]): sfc_assert(self.dof_entity[k] is None, "Expected to set each dof only once.") self.dof_entity[k] = (d, i, j) # count number of dofs per entity self.num_entity_dofs = tuple(len(self.entity_dofs[d][0]) for d in range(self.topological_dimension+1)) # assert that all entities have the same number of associated dofs # (there's a theoretical risk of floating point comparisons messing up the above logic) for d in range(self.topological_dimension+1): for doflist in self.entity_dofs[d]: # each doflist is a list of local dofs associated # with a particular mesh entity of dimension d assert len(doflist) == self.num_entity_dofs[d] def _build_facet_dofs(self): "Build facet vs dof relations." # ... build a list of dofs for each facet: self.facet_dofs = [[] for j in range(self.cell.num_facets)] if self.ufl_element.family() in ("Discontinuous Lagrange", "Quadrature", "Real"): pass # no dofs on facets elif self.ufl_element.family() == "Boundary Quadrature": sfc_error("Boundary Quadrature not handled.") else: # for each facet j, loop over the reference coordinates # for all dofs i and check if the dof is on the facet for j in range(self.cell.num_facets): for (i,p) in enumerate(self.dof_xi): if self.cell.facet_check(j, p): self.facet_dofs[j].append(i) # ... count number of dofs for each facet (assuming this is constant!) self.num_facet_dofs = len(self.facet_dofs[0]) # verify that this number is constant for all facets sfc_assert(all(len(fdofs) == self.num_facet_dofs for fdofs in self.facet_dofs), "Not the same number of dofs on each facet. This breaks an assumption in UFC.") # --- subelement access def dof_to_sub_element_index(self, dof): "Return the index of the sub element the given dof is part of." n = len(self.sub_elements) sfc_assert(n, "Only mixed elements have sub elements.") for i in range(n+1): if dof < self.sub_element_dof_offsets[i]: return i-1 sfc_error("Invalid dof value!") def sub_element_to_dofs(self, i): "Return a list of all dof indices for sub element with index i." sfc_assert(self.sub_elements, "Only mixed elements have sub elements.") a = self.sub_element_dof_offsets[i] b = self.sub_element_dof_offsets[i+1] return range(a, b) # --- function space def basis_function(self, i, component): # hit cache? N = self._basis_function_cache.get((i,component), None) if N is not None: return N if self.sub_elements: # get sub element representation corresponding to this dof sub_element_index = self.dof_to_sub_element_index(i) sub_element = self.sub_elements[sub_element_index] # dof in sub element numbering sub_dof = i - self.sub_element_dof_offsets[sub_element_index] # component in flattened sub element value index space comp_index = component_to_index(component, self.value_shape) value_offset = self.sub_element_value_offsets[sub_element_index] # check that the component is in the value range of the subelement is_nonzero = (comp_index >= value_offset) and (comp_index < (value_offset + sub_element.value_size)) if is_nonzero: # component in unflattened sub element value index space sub_comp_index = comp_index - value_offset sub_component = index_to_component(sub_comp_index, sub_element.value_shape) # basis_function from computed component of subelement N = sub_element.basis_function(sub_dof, sub_component) else: N = swiginac.numeric(0.0) elif "Quadrature" in self.ufl_element.family(): sfc_error("Cannot compute basis functions for quadrature element.") N = swiginac.numeric(1.0) elif "Real" in self.ufl_element.family(): #sfc_error("Cannot compute basis functions for Real element.") # XXXReal: Will we use this or not? N = swiginac.numeric(1.0) else: # Basic element, get basis function from SyFi N = self.syfi_element.N(i) if isinstance(N, swiginac.matrix): sfc_assert((int(N.rows()), int(N.cols())) == self.value_shape, "Shape mismatch") return N[component] sfc_assert(component == (), "Found scalar basic element, expecting no component, got %s." % repr(component)) # put in cache self._basis_function_cache[(i,component)] = N return N def basis_function_derivative(self, i, component, directions): # d/dx and d/dy commute so we sort the derivative variables: directions = tuple(sorted(directions)) # cache hit? DN = self._basis_function_derivative_cache.get((i,component,directions), None) if DN is not None: return DN # compute derivative DN = self.basis_function(i, component) for j in directions: DN = ddx(DN, j, self.GinvT) # put in cache self._basis_function_derivative_cache[(i,component,directions)] = DN return DN # def component_to_sub_element_index(self, component): # sfc_assert(self.sub_elements, "Only mixed elements have sub elements.") # # # FIXME! # sfc_error("FIXME: In component_to_sub_element_index: not sure where this will be used?") # # component_value = flatten_component(component, self.value_shape) # # n = len(self.sub_elements) # for i in range(1,n+1): # if component_value < self.sub_element_value_offsets[i]: # sub_component_value = self.sub_element_value_offsets[i] - ccomponent_value # sub_element_index = i-1 # sub_element = self.sub_elements[sub_element_index] # sub_component = unflatten_component(sub_component_value, sub_element) # return sub_component # sfc_error("Invalid component value!") # # #sub_element_component, sub_element =\ # # self.ufl_element.extract_component(component) # #return sub_element_component, sub_element syfi-1.0.0.dfsg.orig/site-packages/sfc/representation/formrepresentation.py0000644000175000017500000005505411672223006027070 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains a representation class for forms, storing information about all form aspects. """ # Copyright (C) 2008-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2008-08-13 # Last changed: 2009-04-19 import copy import math import swiginac import SyFi import ufl from ufl.algorithms import extract_max_quadrature_element_degree,\ estimate_quadrature_degree, estimate_total_polynomial_degree from sfc.common import sfc_assert from sfc.common.names import finite_element_classname, dof_map_classname, \ integral_classname, form_classname from sfc.common.utilities import matrix_to_list, list_to_vector, index_string, dot_product from sfc.geometry import UFCCell, geometry_mapping from sfc.quadrature import find_quadrature_rule from sfc.symbolic_utils import symbolic_matrix, symbolic_vector, symbol, symbols, cross, sub, inner from sfc.representation.elementrepresentation import create_syfi_polygon class FormRepresentation(object): def __init__(self, formdata, element_reps, options): # UFL data about the form self.formdata = formdata # Mapping : ufl.FiniteElement -> sfc.ElementRepresentation self.element_reps = element_reps # SFC options self.options = options # Fetch some common variables from formdata for shorter names in rest of code self.form = self.formdata.preprocessed_form self.rank = self.formdata.rank self.num_coefficients = self.formdata.num_coefficients self.domain = self.formdata.cell.domain() # Some strings self.signature = repr(self.form) self._define_classnames() # Build some symbols and expressions self._build_geometry_tokens() self._build_argument_tokens() self._define_quadrature_rule() # Build running count of all unique ufl elements # mapping : ufl_element -> running count of unique elements self.element_number = {} for e in self.formdata.sub_elements: sfc_assert(e in self.element_reps, "Missing ElementRepresentation!") if not e in self.element_number: self.element_number[e] = len(self.element_number) def _define_quadrature_rule(self): # Get integration order from options or elements d = self.options.code.integral.integration_order if d is None: d = extract_max_quadrature_element_degree(self.form) if d is None: d = estimate_quadrature_degree(self.form) # TODO: Option for which estimation method to choose! if d is None: d = estimate_total_polynomial_degree(self.form) sfc_assert(d is not None, "All quadrature degree estimation rules failed, this shouldn't happen!") self.quad_order = d # Determine quadrature rule from options or elements if self.options.code.integral.integration_method == "quadrature": self.quad_rule = find_quadrature_rule(self.domain, self.quad_order) self._build_facet_quadrature_rules() else: self.quad_rule = None self.facet_quad_rules = None def _build_facet_quadrature_rules(self): # pick a rule cell = self.cell reference_quad_rule = find_quadrature_rule(cell.facet_shape, self.quad_order, family="gauss") self.facet_quad_rules = [] for facet in range(cell.num_facets): # facet polygon on the reference cell facet_polygon = cell.facet_polygons[facet] # TODO: That dimensions get right here is rather magical, # I suspect that initSyFi plays a major role here... # affine mapping between reference facet_G, facet_x0 = geometry_mapping(facet_polygon) # scaling factor for diagonal facets, # for scaling quadrature rule to a # different reference domain, this is NOT the # same as the global/local scaling factor facet_D! D = 1.0 if facet == 0: if cell.shape == "triangle": D = math.sqrt(2) elif cell.shape == "tetrahedron": D = math.sqrt(3) # scale weights by scaling factor weights = [ float(w)*D for w in reference_quad_rule.weights ] # apply affine mapping to quadrature points points = [] for p in reference_quad_rule.points: # extend (n-1)D point p into nD point x: x = swiginac.matrix(len(facet_x0), 1, list(p)+[0.0]) # apply mapping in nD space: newx = facet_G * x + facet_x0 # store as a list: xlist = [float(newx[i].evalf()) for i in range(len(newx))] points.append(xlist) # make a copy of reference quadrature rule and modify it: facet_quad_rule = copy.copy(reference_quad_rule) if cell.shape != "interval": facet_quad_rule.nsd += 1 assert facet_quad_rule.nsd == cell.nsd facet_quad_rule.comment += "\nMapped to polygon in higher dimension.\n" facet_quad_rule.weights = weights facet_quad_rule.points = points self.facet_quad_rules.append(facet_quad_rule) def _define_classnames(self): # Generate names for all classes fd = self.formdata self.classname = form_classname(self.form, self.options) self.fe_names = [finite_element_classname(e) for e in fd.elements] self.dm_names = [dof_map_classname(e) for e in fd.elements] self.itg_names = dict((itg, integral_classname(itg, self.classname)) \ for itg in self.form.integrals()) f = self.form self.citg_names = dict((itg.measure().domain_id(), self.itg_names[itg]) for itg in f.cell_integrals()) self.eitg_names = dict((itg.measure().domain_id(), self.itg_names[itg]) for itg in f.exterior_facet_integrals()) self.iitg_names = dict((itg.measure().domain_id(), self.itg_names[itg]) for itg in f.interior_facet_integrals()) def _build_geometry_tokens(self): "Build tokens for variables derived from cell." self.polygon = create_syfi_polygon(self.domain) self.cell = UFCCell(self.polygon) cell = self.cell nsd = cell.nsd # vx[i][j] = component j of coordinate of vertex i in cell self.vx_sym = [] self.vx_expr = [] for i in range(cell.num_vertices): s = swiginac.matrix(nsd, 1, symbols("vx%d_%d" % (i,j) for j in range(nsd))) e = swiginac.matrix(nsd, 1, symbols("c.coordinates[%d][%d]" % (i,j) for j in range(nsd))) self.vx_sym.append(s) self.vx_expr.append(e) # Build a global polygon from the vertex coordinates: # (using Triangle and Tetrahedron for the hypercube affine mappings # is correct for rectangular and trapezoidal shapes, while using the polygons # Box and Rectangle from SyFi would only support straight rectangular shapes) p = [matrix_to_list(vx) for vx in self.vx_sym] if cell.shape == "interval": polygon = SyFi.Line(*p) elif cell.shape == "triangle": polygon = SyFi.Triangle(*p) elif cell.shape == "tetrahedron": polygon = SyFi.Tetrahedron(*p) elif cell.shape == "quadrilateral": polygon = SyFi.Rectangle(*p) # SyFi.Triangle(p[0], p[1], p[3]) #SyFi.Rectangle(p[0], p[2]) # TODO: Better affine mapping? elif cell.shape == "hexahedron": polygon = SyFi.Box(*p) # SyFi.Tetrahedron(p[0], p[1], p[3], p[4]) # SyFi.Box(p[0], p[6]) # TODO: Better affine mapping? self.global_polygon = polygon #self.global_cell = UFCCell(polygon) # Geometry mapping self.G_sym = symbolic_matrix(nsd, nsd, "G") # FIXME: Make sure we don't mess up transpose here again... self.x0_sym = self.vx_sym[0] #symbolic_vector(nsd, "x0") # FIXME: Make sure this is consistent. self.G_expr, self.x0_expr = geometry_mapping(self.global_polygon) # TODO: Non-affine mappings? self.detGtmp_sym = symbol("detGtmp") self.detGtmp_expr = swiginac.determinant(self.G_sym) self.detG_sym = symbol("detG") self.detG_expr = swiginac.abs(self.detGtmp_sym) # Sign of det G, negative if cell is inverted self.detG_sign_sym = symbol("detG_sign") self.detG_sign_expr = self.detG_sym / swiginac.abs(self.detG_sym) # Inverse of geometry mapping (expression simplification using cofactor) self.Ginv_sym = symbolic_matrix(nsd, nsd, "Ginv") self.Ginv_expr = (self.detGtmp_expr*swiginac.inverse(self.G_sym)) / self.detGtmp_sym #self.Ginv_expr = swiginac.inverse(self.G_sym) # Local and global coordinates self.xi_sym = symbols(("x","y","z")[:nsd]) # TODO: Change to xiN, but x,y,z is used as local coordinate symbols in rest of SyFi. #self.xi_sym = symbols(("xi0", "xi1", "xi2")[:nsd]) self.x_sym = symbols(("x0","x1","x2")[:nsd]) x_expr = [sum(self.G_sym[i,j]*self.xi_sym[j] for j in range(nsd)) for i in range(nsd)] # FIXME: Transpose? self.x_expr = swiginac.matrix(nsd, 1, x_expr) # Quadrature variables (coordinates are self.xi_sym?) self.quad_weight_sym = symbol("quad_weight") self.D_sym = symbol("D") # Facet normal expressions with sign scaling for inverted cells self.n_sym = symbolic_vector(nsd, "n") self.n_expr = [self.detG_sign_sym*n for n in self.cell.facet_n] # Facet mapping #self.facet_G_sym = FIXME #self.facet_G_expr[facet] = FIXME self.facet_D_sym = symbol("facet_D") self.facet_D_expr = [] # --- Compute facet_D sqrt = swiginac.sqrt if cell.shape == "interval": self.facet_D_expr = [swiginac.numeric(1) for facet in range(cell.num_facets)] elif cell.shape == "triangle": for facet in range(cell.num_facets): facet_polygon = cell.facet_polygons[facet] # facet_polygon is a line v0 = self.G_sym * list_to_vector(facet_polygon.vertex(0)) v1 = self.G_sym * list_to_vector(facet_polygon.vertex(1)) v = sub(v1, v0) D = sqrt( inner(v, v) ) # |v| if facet == 0: # diagonal facet D = D / sqrt(2) # FIXME: Is this right? # TODO: Should in general use determinant of mapping instead of this linear approximation self.facet_D_expr.append(D) elif cell.shape == "tetrahedron": for facet in range(cell.num_facets): facet_polygon = cell.facet_polygons[facet] # facet_polygon is a triangle v0 = facet_polygon.vertex(0) v1 = facet_polygon.vertex(1) v2 = facet_polygon.vertex(2) # map local reference coordinates to get global cell coordinates v0 = self.G_sym * list_to_vector(v0) v1 = self.G_sym * list_to_vector(v1) v2 = self.G_sym * list_to_vector(v2) # vx[i][j] = component j of coordinate of vertex i in cell #self.vx_sym[i][j] # A = |a x b|/2, D = A/(1/2) = |a x b|, # with A = global triangle area, and # D being A over the reference area 1/2 c = cross(sub(v1, v0), sub(v2, v0)) D = sqrt( inner(c, c) ) # |c| if facet == 0: # diagonal facet D = D / sqrt(3) # FIXME: Is this right? # TODO: Should in general use determinant of mapping instead of this linear approximation self.facet_D_expr.append(D) elif cell.shape == "quadrilateral": for facet in range(cell.num_facets): facet_polygon = cell.facet_polygons[facet] # facet_polygon is a line v0 = self.G_sym * list_to_vector(facet_polygon.vertex(0)) v1 = self.G_sym * list_to_vector(facet_polygon.vertex(1)) v = sub(v1, v0) D = sqrt(inner(v,v)) # TODO: Should in general use determinant of mapping instead of this linear approximation self.facet_D_expr.append(D) elif cell.shape == "hexahedron": for facet in range(cell.num_facets): facet_polygon = cell.facet_polygons[facet] # facet_polygon is a quadrilateral v0 = self.G_sym * list_to_vector(facet_polygon.vertex(0)) v1 = self.G_sym * list_to_vector(facet_polygon.vertex(1)) v2 = self.G_sym * list_to_vector(facet_polygon.vertex(2)) v3 = self.G_sym * list_to_vector(facet_polygon.vertex(3)) # compute midpoints m0 = (v0 + v1)/2 m1 = (v1 + v2)/2 m2 = (v2 + v3)/2 m3 = (v3 + v0)/2 # area is length of cross product of vectors between opposing midpoints c = cross(sub(m2, m0), sub(m1, m3)) D = sqrt( inner(c, c) ) # TODO: Should in general use determinant of mapping instead of this linear approximation self.facet_D_expr.append(D) def _build_argument_tokens(self): # --- Coefficient dofs self.w_dofs = [] for i in range(self.num_coefficients): rep = self.element_reps[self.formdata.elements[self.rank + i]] wdofs = symbols("w[%d][%d]" % (i, j) for j in range(rep.local_dimension)) self.w_dofs.append(wdofs) def __str__(self): s = "" s += "FormRepresentation:\n" s += "\n" # TODO: Add more here s += " Geometry tokens:\n" s += " self.cell = %s\n" % self.cell #s += " self.global_cell = %s\n" % self.global_cell s += " self.vx_sym = %s\n" % self.vx_sym s += " self.vx_expr = %s\n" % self.vx_expr s += " self.xi_sym = %s\n" % self.xi_sym s += " self.x_sym = %s\n" % self.x_sym s += " self.x_expr = %s\n" % self.x_expr s += " self.G_sym = %s\n" % self.G_sym s += " self.G_expr, = %s\n" % self.G_expr, s += " self.detGtmp_sym = %s\n" % self.detGtmp_sym s += " self.detGtmp_expr = %s\n" % self.detGtmp_expr s += " self.detG_sym = %s\n" % self.detG_sym s += " self.detG_expr = %s\n" % self.detG_expr s += " self.Ginv_sym = %s\n" % self.Ginv_sym s += " self.Ginv_expr = %s\n" % self.Ginv_expr s += " self.quad_weight_sym = %s\n" % self.quad_weight_sym s += " Argument tokens:\n" s += " self.w_dofs = %s\n" % self.w_dofs return s #def element_representation(self, iarg): # return self.element_reps[self.formdata.elements[iarg]] #def unique_element_number(self, iarg): # return self.element_number[self.formdata.elements[iarg]] #=============================================================================== # def _build_argument_cache(self): # use_symbols = self.integration_method == "quadrature" # # self.v_cache = [] # self.Dv_cache = [] # for iarg in range(self.rank + self.num_coefficients): # elm = self.formdata.elements[iarg] # rep = self.element_reps[elm] # self.v_cache.append([]) # self.Dv_cache.append([]) # for i in range(rep.local_dimension): # for component in rep.value_components: # ve = self.v_expr(iarg, i, component) # vs = self.v_sym(iarg, i, component) # self.v_cache[iarg][i][component] = (vs, ve) # # for derivatives in [(d,) for d in range(self.cell.nsd)]: # Dve = self.Dv_expr(iarg, i, component, derivatives, use_symbols) # Dvs = self.Dv_sym(iarg, i, component, derivatives) # self.Dv_cache[iarg][i][component][derivatives] = (Dvs, Dve) #=============================================================================== # --- Basis function and coefficient data for arguments def v_expr(self, iarg, i, component): elm = self.formdata.elements[iarg] #component, elm = elm.extract_component(component) rep = self.element_reps[elm] v = rep.basis_function(i, component) return v def v_sym(self, iarg, i, component, on_facet): elm = self.formdata.elements[iarg] e = self.v_expr(iarg, i, component) e2 = e.evalf() if e2.nops() == 0: if e2 == 0: # FIXME: Remove this line after fixing code generation, this leads to "double 0;" statements return e2 scomponent, selm = elm.extract_component(component) num = self.element_number[selm] prefix = "qt[facet][iq]." if on_facet else "qt[iq]." suffix = index_string((num, i) + scomponent) name = "%sv_%s" % (prefix, suffix) s = symbol(name) return s def w_expr(self, iarg, component, use_symbols, on_facet): elm = self.formdata.elements[self.rank+iarg] rep = self.element_reps[elm] dim = rep.local_dimension if use_symbols: vs = [self.v_sym(iarg+self.rank, i, component, on_facet=on_facet) for i in range(dim)] else: vs = [self.v_expr(iarg+self.rank, i, component) for i in range(dim)] w = dot_product(self.w_dofs[iarg], vs) return w def w_sym(self, iarg, component): name = "w_%s" % index_string((iarg,) + component) s = symbol(name) return s # --- Basis function and coefficient data for derivatives of arguments def ddxi(self, f, i): return swiginac.diff(f, self.xi_sym[i]) def ddx(self, f, i): return sum(self.Ginv_sym[j,i]*self.ddxi(f, j) for j in range(self.cell.nsd)) # TODO: Verify this line (in particular transposed or not!) def dv_expr(self, iarg, i, component, d): """Return expression for dv/dxi, with v being a particular component of basis function i in argument space iarg, and d is a tuple (i.e. multiindex) of xi directions (local coordinates).""" sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) v = self.v_expr(iarg, i, component) dv = v for k in d: dv = self.ddxi(dv, k) return dv def dv_sym(self, iarg, i, component, d, on_facet): sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) e = self.dv_expr(iarg, i, component, d) e2 = e.evalf() if e2.nops() == 0: if e2 == 0: # FIXME: Remove this line after fixing code generation, this leads to "double 0;" statements return e2 prefix = "qt[facet][iq]." if on_facet else "qt[iq]." suffix = index_string((iarg, i) + component + d) name = "%sdv_dxi_%s" % (prefix, suffix) return symbol(name) def Dv_expr(self, iarg, i, component, d, use_symbols, on_facet): """Return expression for dv/dx, with v being a particular component of basis function i in argument space iarg, and d is a tuple (i.e. multiindex) of x directions (global coordinates).""" sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) # Get local derivatives in all directions if use_symbols: dv = [self.dv_sym(iarg, i, component, (j,), on_facet=on_facet) for j in range(self.cell.nsd)] else: dv = [self.dv_expr(iarg, i, component, (j,)) for j in range(self.cell.nsd)] # Apply mapping to dv j, = d Dv = sum(self.Ginv_sym[k, j]*dv[k] for k in range(self.cell.nsd)) # TODO: Verify this line (in particular transposed or not!) return Dv def Dv_sym(self, iarg, i, component, d, on_facet): sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) e = self.Dv_expr(iarg, i, component, d, False, on_facet=on_facet) e2 = e.evalf() if e2.nops() == 0: if e2 == 0: # FIXME: Remove this line after fixing code generation, this leads to "double 0;" statements return e2 name = "Dv_%s" % index_string((iarg, i) + component + d) return symbol(name) def Dw_expr(self, iarg, component, d, use_symbols, on_facet): sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) elm = self.formdata.elements[self.rank+iarg] rep = self.element_reps[elm] dim = rep.local_dimension if use_symbols: vs = [self.Dv_sym(self.rank+iarg, i, component, d, on_facet=on_facet) for i in range(dim)] else: vs = [self.Dv_expr(self.rank+iarg, i, component, d, use_symbols=False, on_facet=on_facet) for i in range(dim)] w = dot_product(self.w_dofs[iarg], vs) return w def Dw_sym(self, iarg, component, d): sfc_assert(len(d) == 1, "Higher order derivatives not implemented.") d = tuple(sorted(d)) name = "Dw_%s" % index_string((iarg,) + component + d) return symbol(name) syfi-1.0.0.dfsg.orig/site-packages/sfc/symbolic_utils/0000755000175000017500000000000011674103625022564 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/site-packages/sfc/symbolic_utils/__init__.py0000644000175000017500000000031711672223006024670 0ustar johannrjohannr from sfc.symbolic_utils.symbol_factory import symbol_exists, symbol, symbols, symbolic_vector, symbolic_matrix, TempSymbolContext from sfc.symbolic_utils.symbolic_utils import cross, inner, grad, ddx, sub syfi-1.0.0.dfsg.orig/site-packages/sfc/symbolic_utils/symbolic_utils.py0000644000175000017500000002227211672223006026176 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains utility functions for symbolic computations, mostly a thin layer on top of swiginac. """ # Copyright (C) 2007-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-10-16 # Last changed: 2009-03-19 import swiginac import SyFi from sfc.symbolic_utils.symbol_factory import symbol, symbols, symbolic_vector, symbolic_matrix # ... Utilities for symbolic computations, mostly on matrices _p = symbols( ["x", "y", "z"] ) # ... Some type stuff, shouldn't really be in this file? def is_indexed_type(A): """Checks if the argument is a matrix or lst.""" return isinstance(A, list) \ or isinstance(A, tuple) \ or isinstance(A, swiginac.lst) \ or isinstance(A.evalm(), swiginac.matrix) def is_scalar(e): return not is_indexed_type(e.evalm()) def as_matrix(A): """Convert A to a swiginac.matrix from a lst or list.""" if isinstance(A, swiginac.lst): return swiginac.lst_to_matrix(A).evalm() if isinstance(A, list): return swiginac.matrix(len(A), 1, A).evalm() # TODO: handle list of lists? if isinstance(A, tuple): return swiginac.matrix(len(A), 1, A).evalm() # TODO: handle list of lists? if isinstance(A.evalm(), swiginac.matrix): return A.evalm() raise TypeError("ERROR: cannot convert A to a swiginac.matrix, A is of type %s" % str(type(A))) def zeros(m, n): """Returns a m x n matrix with zeros.""" return swiginac.matrix(m, n) def ones(m, n): """Returns a m x n matrix with ones.""" A = swiginac.matrix(m, n) for i in xrange(m): for j in xrange(n): A[i,j] = 1 return A def Id(n): """Returns the n x n identity matrix.""" return swiginac.unit_matrix(n) def add(A, B): """Adds two swiginac expressions and calls evalm() on the result before returning.""" if is_indexed_type(A): A = as_matrix(A) if is_indexed_type(B): B = as_matrix(B) return (A+B).evalm() def sub(A, B): """Subtracts two swiginac expressions and calls evalm() on the result before returning.""" if is_indexed_type(A): A = as_matrix(A) if is_indexed_type(B): B = as_matrix(B) return (A-B).evalm() def mul(A, B): """Multiplies two swiginac expressions and calls evalm() on the result before returning.""" if is_indexed_type(A): A = as_matrix(A) if is_indexed_type(B): B = as_matrix(B) return (A*B).evalm() def cross(a, b): """Takes the cross product of two vectors.""" a = as_matrix(a) b = as_matrix(b) if len(a) != 3 or len(b) != 3: raise TypeError("Need 3D vectors a and b in cross(a,b).") im = [a[1], a[2], b[1], b[2]] jm = [a[2], a[0], b[2], b[0]] km = [a[0], a[1], b[0], b[1]] return swiginac.matrix(3, 1, [swiginac.matrix(2,2,m).determinant() for m in (im, jm, km)]) def inner(A, B): # FIXME: use multiplication for matrices instead of contraction? """Takes the inner product of A and B: multiplication for scalars, dot product for vectors and lsts, contraction for matrices.""" if is_indexed_type(A): A = as_matrix(A) if is_indexed_type(B): B = as_matrix(B) if isinstance(A, swiginac.matrix) and isinstance(B, swiginac.matrix): if len(A) == len(B): return sum( [A.op(i)*B.op(i) for i in xrange(len(A))] ) if A.cols() == 1: A = A.transpose() # row vector to column vector if B.rows() == 1: B = B.transpose() # column vector to row vector if A.cols() == B.rows(): # matrix-vector or vector-matrix inner product return mul(A, B) raise ValueError("Unmatching size of operands") return (A*B).evalm() def dot(a, b): # FIXME: use multiplication for matrices instead of contraction? return inner(a, b) def contract(A,B): """See inner(A,B).""" return inner(A,B) def det(A): """Returns the determinant of the argument.""" return A.evalm().determinant() def abs(x): """Returns the absolute value of the argument.""" return swiginac.abs(x) def transpose(A): """Returns the transpose of the argument.""" return swiginac.transpose(A.evalm()) def trace(A): """Returns the trace of the argument.""" return swiginac.trace(A.evalm()) def inverse(A): """Returns the inverse of the argument.""" A = A.evalm() if isinstance(A, swiginac.matrix): return A.evalm().inverse() return 1.0 / A def rank(x): if isinstance(x, swiginac.matrix): r = x.rows() c = x.cols() if r > 1 and c > 1: return 2 if r*c > 1: return 1 return 0 def shape(x): if isinstance(x, swiginac.matrix): r = x.rows() c = x.cols() if r > 1 and c > 1: return (r, c) if r*c > 1: return (r*c,) return (1,) def diff(f, x): """Returns df/dx, where x is a symbol or symbolic matrix.""" if type(x) == swiginac.matrix: f_rank = rank(f) x_rank = rank(x) if f_rank+x_rank > 2: raise RuntimeError("Cannot apply diff to f,x with ranks %d,%d" % (f_rank, x_rank)) # FIXME: support different combinations of ranks for f,x A = zeros(x.rows(), x.cols()) for i in range(A.rows()): for j in range(A.cols()): sym = x[i,j] assert isinstance(sym, swiginac.symbol) val = f # [...] FIXME A[i,j] = swiginac.diff(val, sym) return A assert isinstance(x, swiginac.symbol) return swiginac.diff(f, x) def ddx(f, i, GinvT=None): """Returns df/dx_i, where i is the number of the coordinate. GinvT is an optional geometry mapping.""" # without mapping: if GinvT is None: return diff(f, x(i)) # with mapping: dfdx = 0 for k in range(GinvT.rows()): dfdx += GinvT[i, k] * swiginac.diff(f, _p[k]) return dfdx def grad(u, GinvT=None): """Returns the gradient of u w.r.t. the spacial variables x,y[,z], depending on the dimension specified by SyFi.initSyFi(nsd).""" ran = rank(u) sh = shape(u) if ran == 0: n = SyFi.cvar.nsd r, c = n, 1 u = swiginac.matrix(1,1,[u]) elif ran == 1: n = sh[0] r, c = n, n else: raise ValueError("Taking gradient of a matrix is not supported.") if GinvT is None: GinvT = Id(n) g = zeros(r, c) for i in range(r): for j in range(c): f = u[j,0] for k in range(n): g[i,j] += GinvT[i,k] * diff(f, _p[k]) return g def div(u, GinvT=None): r = u.rows() c = u.cols() ran = rank(u) if ran == 2: if r != c: raise RuntimeError("Taking divergence of an unsymmetric matrix.") n = r if GinvT is None: GinvT = Id(n) d = zeros(r, 1) for j in range(r): for i in range(r): for k in range(r): d[j,0] += GinvT[i,k] * diff(u[i,j], _p[k]) elif ran == 1: n = r*c if GinvT is None: GinvT = Id(n) d = 0 for i in range(n): for k in range(n): d += GinvT[i,k] * diff(u[i,0], _p[k]) else: raise RuntimeError("Taking divergence of a scalar.") return d def curl(u, GinvT=None): g = grad(u, GinvT) c = swiginac.matrix(2,1) c[0,0] = -g[1,0] c[1,0] = g[0,0] return c def laplace(u, GinvT=None): return div(grad(u, GinvT), GinvT) if __name__ == '__main__': a = swiginac.matrix(3,1,[1,0,0]) b = swiginac.matrix(3,1,[0,1,0]) c = swiginac.matrix(3,1,[0,0,1]) print "" print cross(a,b) print cross(a,c) print cross(c,b) print cross(b,c) import SyFi SyFi.initSyFi(2) x, y, z = symbols(["x", "y", "z"]) x2, y2, z2 = symbols(["x", "y", "z"]) assert (x-x2).is_zero() assert (y-y2).is_zero() assert (z-z2).is_zero() p2 = swiginac.matrix(2, 1, [x,y]) p3 = swiginac.matrix(3, 1, [x,y,z]) A = swiginac.matrix(2,2, [x*x*x, x*x*y, x*y*y, y*y*y]) sh = shape(A) assert rank(A) == 2 assert len(sh) == 2 assert sh[0] == 2 assert sh[1] == 2 print "" print "A", A print "div A", div(A) v = swiginac.matrix(2, 1, [3*x,5*y]) sh = shape(v) assert rank(v) == 1 assert len(sh) == 1 assert sh[0] == 2 print "" print "v", v print "div v", div(v) print "grad v", grad(v) print "dv/dx ", diff(v, p2) v = swiginac.matrix(2, 1, [3*y,5*x]) sh = shape(v) assert rank(v) == 1 assert len(sh) == 1 assert sh[0] == 2 print "" print "v", v print "div v", div(v) print "grad v", grad(v) print "dv/dx ", diff(v, p2) syfi-1.0.0.dfsg.orig/site-packages/sfc/symbolic_utils/integration.py0000644000175000017500000001011011672223006025444 0ustar johannrjohannr# -*- coding: utf-8 -*- """ This module contains functions for computing integrals both symbolically and numerically. """ # Copyright (C) 2007-2009 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-11-07 # Last changed: 2009-03-19 import swiginac import SyFi from sfc.common import sfc_error from sfc.quadrature import find_quadrature_rule from sfc.geometry import UFCCell, geometry_mapping from sfc.symbolic_utils.symbolic_utils import symbol, symbols def symbolic_integral(polygon, function): """ This function computes the integral of the specified function over the specified polygon symbolically. The function may take as arguments the global coordinates (x,y,z) as well as coordinates on the reference polygon (xi0, xi1, xi2). """ nsd = polygon.no_space_dim() G, x0 = geometry_mapping(polygon) # FIXME: passing Rectangle (or Box) here will yield an affine mapping only correct for straight rectangles # TODO: Get symbols as input x, y, z = symbols(["x", "y", "z"]) xi0, xi1, xi2 = symbols(["xi0", "xi1", "xi2"]) p = swiginac.matrix(nsd, 1, [x,y,z]) Ginv = G.inverse() xi = Ginv*(p-x0) ss = function.subs(xi0 == xi[0,0]) if xi.rows() > 1: ss = ss.subs(xi1 == xi[1,0]) if xi.rows() > 2: ss = ss.subs(xi2 == xi[2,0]) return polygon.integrate(ss).evalf() def numeric_integral(polygon, function, order): """ This function computes the integral of the specified function over the specified polygon numerically. The function may take as arguments the global coordinates (x,y,z) as well as coordinates on the reference polygon (xi0, xi1, xi2). """ # TODO: Get symbols as input nsd = polygon.no_space_dim() # UFCCell is only defined on reference domains ? # OLD code # cell = UFCCell(polygon) # table = find_quadrature_rule(cell.shape, order, family="gauss") shape = "" if polygon.str().find("Triangle") >= 0: shape = "triangle" if polygon.str().find("Line") >= 0: shape = "interval" if polygon.str().find("Tetrahedron") >= 0: shape = "tetrahedron" table = find_quadrature_rule(shape, order, family="gauss") x, y, z = symbols(["x", "y", "z"]) xi0, xi1, xi2 = symbols(["xi0", "xi1", "xi2"]) G, x0 = geometry_mapping(polygon) # FIXME: passing Rectangle (or Box) here will yield an affine mapping only correct for straight rectangles xi = swiginac.matrix(nsd, 1, [xi0, xi1, xi2]) global_point = G*xi + x0 ss = function.subs(x == global_point[0,0]) if global_point.rows() > 1: ss = ss.subs(y == global_point[1,0]) if global_point.rows() > 2: ss = ss.subs(z == global_point[2,0]) sum = 0.0 for k in range(table.num_points): p = table.points[k] w = table.weights[k] s = ss.subs(xi0 == p[0]) if len(p) > 1: s = s.subs(xi1 == p[1]) if len(p) > 2: s = s.subs(xi2 == p[2]) sum += s*w sum *= G.determinant() return sum def integral(polygon, function, integration_mode=True, integration_order=None): """ A small wrapper on top of the functions symbolic_integral and numeric_integral. """ # TODO: Support Taylor series expansion as well if integration_mode == "symbolic": return symbolic_integral(polygon, function) elif integration_mode == "quadrature": return numeric_integral(polygon, function, integration_order) sfc_error("Not implemented integration mode %s" % integration_mode) syfi-1.0.0.dfsg.orig/site-packages/sfc/symbolic_utils/symbol_factory.py0000644000175000017500000000624611672223006026174 0ustar johannrjohannr#!/usr/bin/env python # -*- coding: utf-8 -*- """ This module contains utility functions for creating symbols and managing symbol contexts. """ # Copyright (C) 2007-2008 Martin Sandve Alnes and Simula Resarch Laboratory # # This file is part of SyFi. # # SyFi is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # # SyFi is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with SyFi. If not, see . # # First added: 2007-10-09 # Last changed: 2008-12-12 import math import swiginac import SyFi class SymbolFactory: def __init__(self): self.symbols = {} for n in ("x", "y", "z", "t", "infinite", "DUMMY"): self.symbols[n] = SyFi.get_symbol(n) def __call__(self, name): if name in self.symbols: return self.symbols[name] s = swiginac.symbol(name) self.symbols[name] = s return s # default context for construction of symbols identified by their name _symbol_factory = SymbolFactory() class TempSymbolContext: def __init__(self, format="_s%d", symbol_factory=_symbol_factory): self.format = format self.i = 0 self.symbol_factory = symbol_factory def __call__(self, shape=None): name = self.format % self.i self.i += 1 return self.symbol_factory(name) # Functional user interface to the default symbol factory: def symbol_exists(name): # Unused? """Returns a symbol from the default sfc symbol factory.""" return name in _symbol_factory.symbols def symbol(name): """Returns a symbol from the default sfc symbol factory.""" return _symbol_factory(name) def symbolic_vector(n, name): """Returns a length n vector of symbols from the default sfc symbol factory. The symbols will be named 'name' with i=0,...,n-1. If n > 10, will be prepadded with zeros.""" digits = 1 if n == 1 else 1 + int(math.log10(n-1)) rule = "%%s%%0%dd" % digits v = swiginac.matrix(n, 1) for i in xrange(n): v[i] = symbol(rule % (name, i)) return v def symbolic_matrix(m, n, name): """Returns a n x n matrix of symbols from the default sfc symbol factory. If m<10 and n<10, the symbols will be named 'name' with i=0,...,m-1, j=0,...,n-1. If m>=10 or n>=10, the symbols will be named 'name__'.""" A = swiginac.matrix(m, n) if m > 9 or n > 9: padding = "_" else: padding = "" for i in xrange(m): for j in xrange(n): A[i, j] = symbol("%s%s%d%s%d" % (name, padding, i, padding, j)) return A def symbols(names): """Returns a list of symbols with names from the default sfc symbol factory. 'names' must be an iterable sequence of strings.""" return [symbol(na) for na in names] syfi-1.0.0.dfsg.orig/CMakeLists.txt0000644000175000017500000002216511672223006016770 0ustar johannrjohannr# Top level CMakeLists.txt file for SyFi # Require CMake 2.8 cmake_minimum_required(VERSION 2.8) #------------------------------------------------------------------------------ # Set project name and version number project(SYFI) set(SYFILIB_MAJOR_VERSION "1") set(SYFILIB_MINOR_VERSION "0") set(SYFILIB_MICRO_VERSION "0") set(SYFILIB_VERSION "${SYFILIB_MAJOR_VERSION}.${SYFILIB_MINOR_VERSION}.${SYFILIB_MICRO_VERSION}") add_definitions(-DSYFILIB_VERSION="${SYFILIB_VERSION}") #------------------------------------------------------------------------------ # General configuration # Set CMake options, see `cmake --help-policy CMP000x` if (COMMAND cmake_policy) cmake_policy(SET CMP0003 NEW) cmake_policy(SET CMP0004 OLD) endif() # Set location of our FindFoo.cmake modules set(CMAKE_MODULE_PATH ${CMAKE_SOURCE_DIR}/cmake/modules ${CMAKE_MODULE_PATH}) # Make sure CMake uses the correct syfi-config.cmake for tests and demos #set(CMAKE_PREFIX_PATH ${CMAKE_PREFIX_PATH} ${CMAKE_CURRENT_BINARY_DIR}/syfi) #------------------------------------------------------------------------------ # Configurable options for how we want to build option(BUILD_SHARED_LIBS "Build SyFi with shared libraries." ON) option(CMAKE_USE_RELATIVE_PATHS "Use relative paths in makefiles and projects." OFF) option(SYFI_WITH_LIBRARY_VERSION "Build with library version information." ON) option(SYFI_ENABLE_DOCS "Enable documentation." OFF) option(SYFI_ENABLE_TESTING "Enable testing." OFF) #------------------------------------------------------------------------------ # Compiler flags # Default build type (can be overridden by user) if (NOT CMAKE_BUILD_TYPE) set(CMAKE_BUILD_TYPE "RelWithDebInfo" CACHE STRING "Choose the type of build, options are: Debug Developer MinSizeRel Release RelWithDebInfo." FORCE) endif() # Check for some compiler flags include(CheckCXXCompilerFlag) check_cxx_compiler_flag(-pipe HAVE_PIPE) if (HAVE_PIPE) set(SYFI_CXX_DEVELOPER_FLAGS "-pipe ${SYFI_CXX_DEVELOPER_FLAGS}") endif() check_cxx_compiler_flag("-Wall -Werror" HAVE_PEDANTIC) if (HAVE_PEDANTIC) set(SYFI_CXX_DEVELOPER_FLAGS "-Wall -Werror ${SYFI_CXX_DEVELOPER_FLAGS}") endif() check_cxx_compiler_flag(-std=c++98 HAVE_STD) if (HAVE_STD) set(SYFI_CXX_DEVELOPER_FLAGS "-std=c++98 ${SYFI_CXX_DEVELOPER_FLAGS}") endif() check_cxx_compiler_flag(-g HAVE_DEBUG) if (HAVE_DEBUG) set(SYFI_CXX_DEVELOPER_FLAGS "-g ${SYFI_CXX_DEVELOPER_FLAGS}") endif() check_cxx_compiler_flag(-O2 HAVE_O2_OPTIMISATION) if (HAVE_O2_OPTIMISATION) set(SYFI_CXX_DEVELOPER_FLAGS "-O2 ${SYFI_CXX_DEVELOPER_FLAGS}") endif() # Set 'Developer' build type flags set(CMAKE_CXX_FLAGS_DEVELOPER "${SYFI_CXX_DEVELOPER_FLAGS}" CACHE STRING "Flags used by the compiler during development." FORCE) # Add debug definitions if (CMAKE_BUILD_TYPE STREQUAL "Developer" OR CMAKE_BUILD_TYPE STREQUAL "Debug") list(APPEND SYFI_CXX_DEFINITIONS "-DDEBUG") endif() #------------------------------------------------------------------------------ # Run tests to find required packages find_package(GiNaC REQUIRED) find_package(PythonInterp REQUIRED) find_package(PythonLibs REQUIRED) find_package(NumPy REQUIRED) find_package(SWIG REQUIRED) include(UseSWIG) #------------------------------------------------------------------------------ # Set include directories and libs of required packages set(SYFI_INCLUDE_DIRECTORIES ${GINAC_INCLUDE_DIRS} ) set(SYFI_TARGET_LINK_LIBRARIES ${GINAC_LIBRARIES} ) #------------------------------------------------------------------------------ # Set compiler flags and include directories # Add compiler include directories include_directories( ${SYFI_SOURCE_DIR}/syfi ${SYFI_BINARY_DIR}/syfi ${SYFI_SOURCE_DIR}/syfi/swig ${SYFI_BINARY_DIR}/syfi/swig ${SYFI_INCLUDE_DIRECTORIES} ) # Add CXX defintions add_definitions(${SYFI_CXX_DEFINITIONS}) # Add flags set(CMAKE_CXX_FLAGS ${CMAKE_CXX_FLAGS} ${SYFI_CXX_FLAGS} ) #------------------------------------------------------------------------------ # Set SyFi install sub-directories set(SYFI_BIN_DIR "bin" CACHE PATH "Binary installation directory.") set(SYFI_LIB_DIR "lib" CACHE PATH "Library installation directory.") set(SYFI_INCLUDE_DIR "include" CACHE PATH "C/C++ header installation directory.") set(SYFI_PKGCONFIG_DIR "lib/pkgconfig" CACHE PATH "pkg-config file installation directory.") set(SYFI_SHARE_DIR "share/syfi" CACHE PATH "Shared data installation directory.") set(SYFI_MAN_DIR "share/man" CACHE PATH "Manual page installation directory.") # Extract Python version info for use to determine where to install Python files execute_process( COMMAND ${PYTHON_EXECUTABLE} -c "import platform; print platform.python_version()" OUTPUT_VARIABLE PYTHON_VERSION OUTPUT_STRIP_TRAILING_WHITESPACE ) string(SUBSTRING "${PYTHON_VERSION}" 0 1 PYTHON_VERSION_MAJOR) string(SUBSTRING "${PYTHON_VERSION}" 2 1 PYTHON_VERSION_MINOR) string(SUBSTRING "${PYTHON_VERSION}" 4 1 PYTHON_VERSION_PATCH) # We install Python files to lib/pythonX.Y/site-packages by default set(SYFI_PYTHON_MODULE_DIR "lib/python${PYTHON_VERSION_MAJOR}.${PYTHON_VERSION_MINOR}/site-packages" CACHE PATH "Python module installation directory") set(SYFI_PYTHON_EXT_DIR "lib/python${PYTHON_VERSION_MAJOR}.${PYTHON_VERSION_MINOR}/site-packages" CACHE PATH "Python extension module installation directory") #------------------------------------------------------------------------------ # Installation of sfc install(DIRECTORY ${CMAKE_SOURCE_DIR}/site-packages/sfc DESTINATION ${SYFI_PYTHON_MODULE_DIR} USE_SOURCE_PERMISSIONS COMPONENT RuntimeExecutables) install(FILES ${CMAKE_SOURCE_DIR}/scripts/sfc DESTINATION ${SYFI_BIN_DIR} PERMISSIONS OWNER_WRITE OWNER_READ GROUP_READ WORLD_READ OWNER_EXECUTE GROUP_EXECUTE WORLD_EXECUTE COMPONENT RuntimeExecutables) #------------------------------------------------------------------------------ # Installation of SyFi manual pages install(DIRECTORY ${SYFI_SOURCE_DIR}/doc/man/ DESTINATION ${SYFI_MAN_DIR} USE_SOURCE_PERMISSIONS COMPONENT RuntimeExecutables) #------------------------------------------------------------------------------ # SyFi library # Add source directory add_subdirectory(syfi) #------------------------------------------------------------------------------ # Generate and install helper file syfi.conf # FIXME: not cross-platform compatible # Create and install syfi.conf file configure_file(${CMAKE_SOURCE_DIR}/cmake/templates/syfi.conf.in ${CMAKE_BINARY_DIR}/syfi.conf @ONLY) install(FILES ${CMAKE_BINARY_DIR}/syfi.conf DESTINATION ${SYFI_SHARE_DIR} COMPONENT Development) #------------------------------------------------------------------------------ # Add demos and install demo source files # Copy demo files to build directory file(COPY demo DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) # Add target "demo" for building the demos add_custom_target(demo COMMAND ${PYTHON_EXECUTABLE} makeall.py WORKING_DIRECTORY "${CMAKE_CURRENT_BINARY_DIR}/demo") # Add target "demo_clean" for cleaning the demos add_custom_target(demo_clean COMMAND ${PYTHON_EXECUTABLE} cleanall.py WORKING_DIRECTORY "${CMAKE_CURRENT_BINARY_DIR}/demo") # Install the demo source files install(DIRECTORY demo DESTINATION ${SYFI_SHARE_DIR}) #------------------------------------------------------------------------------ # Install demo files install(DIRECTORY demo DESTINATION ${SYFI_SHARE_DIR}) #------------------------------------------------------------------------------ # Add tests if (SYFI_ENABLE_TESTING) enable_testing() add_subdirectory(tests) endif() #------------------------------------------------------------------------------ # Generate pkg-config file and install it # Convert include dirs to -I form foreach(_inc_dir ${SYFI_INCLUDE_DIRECTORIES}) set(PKG_INCLUDES "-I${_inc_dir} ${PKG_INCLUDES}") endforeach() # Convert compiler flags and definitions into space separated strings string(REPLACE ";" " " PKG_CXXFLAGS "${CMAKE_CXX_FLAGS}") string(REPLACE ";" " " PKG_DEFINITIONS "${SYFI_CXX_DEFINITIONS}") # Convert libraries to -L -l form foreach(_lib ${SYFI_TARGET_LINK_LIBRARIES}) string(REGEX REPLACE "(.?:?/[^ ]*)/lib([^ ]*)\\.(a|so|dylib|dll)" "-L\\1 -l\\2" _linkflags "${_lib}" ) # Only add libraries that matches the form -L -l if ("${_linkflags}" MATCHES "-L.+ -l.+") set(PKG_LINKFLAGS "${_linkflags} ${PKG_LINKFLAGS}") endif() endforeach() # Remove duplicated link flags separate_arguments(PKG_LINKFLAGS) list(REMOVE_DUPLICATES PKG_LINKFLAGS) string(REPLACE ";" " " PKG_LINKFLAGS "${PKG_LINKFLAGS}") # Add additional link flags #set(PKG_LINK_FLAGS "${PKG_LINKFLAGS} ${SYFI_LINK_FLAGS}") # Configure and install pkg-config file configure_file(${SYFI_SOURCE_DIR}/cmake/templates/syfi.pc.in ${CMAKE_BINARY_DIR}/syfi.pc @ONLY) install(FILES ${CMAKE_BINARY_DIR}/syfi.pc DESTINATION ${SYFI_PKGCONFIG_DIR} COMPONENT Development ) #------------------------------------------------------------------------------ # Add "make uninstall" target configure_file( "${CMAKE_SOURCE_DIR}/cmake/templates/cmake_uninstall.cmake.in" "${CMAKE_CURRENT_BINARY_DIR}/cmake_uninstall.cmake" IMMEDIATE @ONLY) add_custom_target(uninstall "${CMAKE_COMMAND}" -P "${CMAKE_CURRENT_BINARY_DIR}/cmake_uninstall.cmake") syfi-1.0.0.dfsg.orig/sandbox/0000755000175000017500000000000011674103625015666 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/dolfinbug/0000755000175000017500000000000011674103625017637 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/dolfinbug/cpp/0000755000175000017500000000000011672223006020413 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/dolfinbug/cpp/SConstruct0000644000175000017500000000133111672223006022443 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Generated code is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable -g') # Generated code is not this robust (yet) env.ParseConfig('echo -Wno-conversion -w') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/dolfinbug/cpp/Makefile0000644000175000017500000000071611672223006022057 0ustar johannrjohannr FLAGS=--integration-method=symbolic --debug=1 #FLAGS=--integration-method=quadrature FORM=Elements demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=f.pvd & run: demo rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/dolfinbug/cpp/main.cpp0000644000175000017500000000532011672223006022043 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program shows a multitude of ways DOLFIN can // crash or produce the wrong results using interpolation. #include #include "generated_code/Elements.h" using namespace dolfin; class Vector2D: public Function { public: Vector2D(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 3.0 + 0.1*x[0] + 0.01*x[1]; values[1] = 5.0 + 0.1*x[0] + 0.01*x[1]; values[0] = x[0] + x[1]; values[1] = x[0] + x[1]; } }; int main() { UnitSquare mesh(1, 1); // from a VectorElement("CG", "triangle", 1) Elements::CoefficientSpace_v1 V1(mesh); // from a VectorElement("CG", "triangle", 2) Elements::CoefficientSpace_v2 V2(mesh); // Ideally, I'd like to say "make f the interpolant of s" where f already has a function space attached: /* Vector2D s; Function f(V2); f.interpolate(s); */ // But with the currently available signatures, I wanted to do this: /* Vector2D s; // No function space necessary Function f(V2); s.interpolate(f.vector(), V2); */ // But this gives: /* terminate called after throwing an instance of 'std::runtime_error' what(): *** Assertion (_function_space) [at dolfin/function/Function.cpp:134 in function_space()] */ // For some reason there's an assertion for a function space in s // This works: (sqrt(2^2+2^2) = 2.83 in the corner) /* Vector2D s(V2); Function f(V2); s.interpolate(f.vector(), V2); */ // This error should be detected, but it only produces wrong results: /* Vector2D s(V1); Function f(V1); s.interpolate(f.vector(), V2); */ // This might be ok (not sure how to interpret s(V1)), but produces wrong results: /* Vector2D s(V1); Function f(V2); s.interpolate(f.vector(), V2); */ // This should fail with an error message, but produces wrong results: /* Vector2D s(V2); Function f(V2); s.interpolate(f.vector(), V1); */ File file("f.pvd"); file << f; return 0; } syfi-1.0.0.dfsg.orig/sandbox/dolfinbug/cpp/Elements.ufl0000644000175000017500000000026111672223006022676 0ustar johannrjohannr polygon = "triangle" element1 = VectorElement("CG", polygon, 1) element2 = VectorElement("CG", polygon, 2) v1 = Function(element1) v2 = Function(element2) a = dot(v1,v2)*dx syfi-1.0.0.dfsg.orig/sandbox/demo/0000755000175000017500000000000011674103625016612 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/0000755000175000017500000000000011674103625021010 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/python/0000755000175000017500000000000011674103625022331 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/python/clean.sh0000755000175000017500000000006411672223006023744 0ustar johannrjohannr#!/bin/bash rm -rf SFC* rm -f *.pvd *.vtu *.vtk *.m syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/python/demo.py0000644000175000017500000000465311672223006023631 0ustar johannrjohannr import math from dolfin import * dolfin_set("form compiler", "sfc") class Solution(Function): def eval(self, values, xx): r = math.sqrt((xx[0]-0.5)**2 + (xx[1]-0.5)**2) values[0] = (xx[0]-0.5)/r values[1] = (xx[1]-0.5)/r class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 3 if N%2==0: print "The solution will have a singularity in a nodal point." #sys.exit(0) mesh = UnitSquare(N,N) # Function spaces X = VectorFunctionSpace(mesh, 'CG', 1) Y = FunctionSpace(mesh, 'CG', 1) XY = X + Y # Solution function (in mixed space) u = Function(XY) # Basis functions (in mixed space) vv = TestFunction(XY) uu = TrialFunction(XY) # Form coefficients do_split = False if do_split: x, y = split(u) else: x = Function(X) y = Function(Y) # Forms L = dot(x,x)*dx + inner(grad(x),grad(x))*dx + dot(x,x)*y*dx if do_split: F = derivative(L, u, vv) J = derivative(F, u, uu) else: F = derivative(L, (x,y), vv) J = derivative(F, (x,y), uu) # start vector dirichlet_function = Solution(X) x0 = project(dirichlet_function,X) y0 = Function(Y) y0.vector().zero() #Some ugly code related to Function <-> SubFunction stuff #-------------------------------------------------------- uvec = u.vector() uarr = uvec.array() xn = x0.vector().size() x0a, y0a = uarr[:xn], uarr[xn:] x0a[:] = x0.vector().array() #y0a[:] = y0.vector().array() y0a[:] = 1 #x0a[:] = 1/sqrt(2) #y0a[:] = 0 u.vector().set(uarr) plot(u.sub(0)) #Done ugly code #-------------------------------------------------------- x.vector().norm() y.vector().norm() # Solve nonlinear variational problem dirichlet_boundary = DirichletBoundary() #plot(dirichlet_function) bc = DirichletBC(X, dirichlet_function, dirichlet_boundary) #problem = VariationalProblem(J, F, bc, nonlinear=True) b = assemble(F) A = assemble(J) file = File("A.m"); file << A; file = File("b.m"); file << b; print "norm of b ", b.norm() problem = VariationalProblem(J, F, bc, nonlinear=True) print "before ", u.vector().disp() problem.solve(u) print "after ", u.vector().disp() # Plot both fields TODO: Having problems with showing both #x0.assign(u.sub(0)) #y0.assign(u.sub(1)) figure(0) #plot(x0, title="x") plot(u.sub(0), title="x") figure(1) #plot(y0, title="y") plot(u.sub(1), title="y") interactive() # Write solution to file vtk = File("x.pvd") vtk << x0 vtk = File("y.pvd") vtk << y0 syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/python/demo2.py0000644000175000017500000000523711672223006023712 0ustar johannrjohannr import numpy from numpy.linalg import eig import math from dolfin import * dolfin_set("form compiler", "sfc") class Solution(Function): def eval(self, values, xx): r = math.sqrt((xx[0]-0.5)**2 + (xx[1]-0.5)**2) values[0] = (xx[0]-0.5)/r values[1] = (xx[1]-0.5)/r class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 11 if N % 2 == 0: print "The solution will have a singularity in a nodal point." #sys.exit(0) mesh = UnitSquare(N, N) # Function spaces X = VectorFunctionSpace(mesh, 'CG', 1) Y = FunctionSpace(mesh, 'CG', 1) XY = X + Y # Solution function (in mixed space) u = Function(XY) # Basis functions (in mixed space) vv = TestFunction(XY) uu = TrialFunction(XY) # Form coefficients x, y = split(u) # Forms L = inner(grad(x),grad(x))*dx + dot(x,x)*y*dx F = derivative(L, u, vv) J = derivative(F, u, uu) # TODO: Compare with system assembled from this #F = derivative(L, (x,y), vv) #J = derivative(F, (x,y), uu) # Start vector dirichlet_function = Solution(X) x0 = project(dirichlet_function, X) y0 = Function(Y) y0.vector().zero() #Some ugly code related to Function <-> SubFunction stuff #-------------------------------------------------------- uvec = u.vector() uarr = uvec.array() xn = x0.vector().size() x0a, y0a = uarr[:xn], uarr[xn:] x0a[:] = x0.vector().array() y0a[:] = y0.vector().array() #x0a[:] = 1/sqrt(2) #y0a[:] = 0 u.vector().set(uarr) figure(0) plot(x0, title="initial x") #plot(u.sub(0), title="initial x") figure(1) plot(y0, title="initial y") #plot(u.sub(1), title="initial y") #Done ugly code #-------------------------------------------------------- # Solve nonlinear variational problem dirichlet_boundary = DirichletBoundary() #plot(dirichlet_function) bc = DirichletBC(X, dirichlet_function, dirichlet_boundary) #problem = VariationalProblem(J, F, bc, nonlinear=True) b = assemble(F) A = assemble(J) eigval, eigvec = eig(A.array()) eigA = sorted(abs(eigval)) eigA.reverse() kappa = eigA[0] / eigA[-1] print "Condition number %e" % kappa # 38113603.1143 !!! print "Eigenvalues of A ", eigA[:5], ", ...", eigA[-5:] file = File("A.m"); file << A; file = File("b.m"); file << b; print "Norm of b before solve", b.norm() problem = VariationalProblem(J, F, bc, nonlinear=True) problem.solve(u) # Check residual b = assemble(F) print "Norm of b after solve", b.norm() # Copy sub functions to get one Function on each subspace x0.assign(u.sub(0)) y0.assign(u.sub(1)) # Plot both fields figure(2) plot(x0, title="x") figure(3) plot(y0, title="y") # Write solution to file vtk = File("x.pvd"); vtk << x0 vtk = File("y.pvd"); vtk << y0 interactive() syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/python/bugexample.py0000644000175000017500000000474511672223006025040 0ustar johannrjohannr import numpy from numpy.linalg import eig import math from dolfin import * dolfin_set("form compiler", "sfc") class Solution(Function): def eval(self, values, xx): r = math.sqrt((xx[0]-0.5)**2 + (xx[1]-0.5)**2) values[0] = (xx[0]-0.5)/r values[1] = (xx[1]-0.5)/r class DirichletBoundary(SubDomain): def inside(self, x, on_boundary): return bool(on_boundary) # Geometry N = 5 if N%2==0: print "The solution will have a singularity in a nodal point." #sys.exit(0) mesh = UnitSquare(N,N) # Function spaces X = VectorFunctionSpace(mesh, 'CG', 1) Y = FunctionSpace(mesh, 'CG', 1) XY = X + Y # Solution function (in mixed space) u = Function(XY) # Basis functions (in mixed space) vv = TestFunction(XY) uu = TrialFunction(XY) # Form coefficients norms = [] eigs = [] for do_split in (True, False): if do_split: x, y = split(u) else: x = Function(X) y = Function(Y) # Forms L = inner(grad(x),grad(x))*dx + dot(x,x)*y*dx #L = dot(x,x)*y*dx #L = inner(grad(x),grad(x))*dx #L = dot(x,x)*dx + dot(x,x)*y*dx if do_split: F = derivative(L, u, vv) J = derivative(F, u, uu) else: F = derivative(L, (x,y), vv) J = derivative(F, (x,y), uu) # Start vector dirichlet_function = Solution(X) x0 = project(dirichlet_function,X) # x0.vector().zero() y0 = Function(Y) y0.vector().zero() #Some ugly code related to Function <-> SubFunction stuff #-------------------------------------------------------- xn = x0.vector().size() yn = y0.vector().size() if not do_split: x.vector().assign(x0.vector()) y.vector().assign(y0.vector()) else: uarr = u.vector().array() uarr[:xn] = x0.vector().array() uarr[xn:] = y0.vector().array() u.vector().set(uarr) #-------------------------------------------------------- b = assemble(F) A = assemble(J) print print "do_split =", do_split print "xn, yn =", xn, yn bnorm = b.norm() print "Norm of b ", bnorm norms.append(bnorm) eigval, eigvec = eig(A.array()) eigA = sorted(eigval) eigA.reverse() eigs.append(eigA) print "Eigenvalues of A ", eigA[:5], ", ...", eigA[-5:] # TODO: Compare eigs #print "Eig difference: ", (numpy.ndarray(eigs[0][:5]) - numpy.ndarray(eigs[1][:5])) #print "Eig difference: ", (numpy.ndarray(eigs[0][-5:]) - numpy.ndarray(eigs[1][-5:])) syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/cpp/0000755000175000017500000000000011674103625021572 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/cpp/SConstruct0000644000175000017500000000127211672223006023620 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Code generation is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable') # Enable no optimization env.ParseConfig('echo -g -O0') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/cpp/Makefile0000644000175000017500000000103111672223006023217 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 --safemode=0 FORM=HarmonicMap demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=x.pvd & paraview --data=y.pvd & run: demo rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/cpp/main.cpp0000644000175000017500000000545311672223006023223 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-04-08 // Last changed: 2009-04-08 // // This demo program solves the harmonic map problem in 2D. #include #include #include "generated_code/HarmonicMap.h" using namespace dolfin; using namespace HarmonicMap; class Value: public Function { public: Value(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 1.0; } }; class Solution: public Function { public: Solution(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { double dx = x[0]-0.5; double dy = x[1]-0.5; double r = sqrt(dx*dx + dy*dy); if(r == 0) { values[0] = 1.0; values[1] = 1.0; values[2] = 1.0; warning("Singularity."); } values[0] = 1.0*dx/r; values[1] = 1.0*dy/r; values[2] = 1.0; } }; class BoundaryValue: public Function { public: BoundaryValue(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { double dx = x[0]-0.5; double dy = x[1]-0.5; double r = sqrt(dx*dx + dy*dy); if(r == 0) { values[0] = 1.0; values[1] = 1.0; warning("Singularity."); } values[0] = dx/r; values[1] = dy/r; } }; class DirichletBoundary: public SubDomain { public: bool inside(const double* x, bool on_boundary) const { return on_boundary; } }; int main(int argc, char ** argv) { int n = 11; UnitSquare mesh(n, n); BilinearForm::TrialSpace V(mesh); //CoefficientSpace_x X(mesh); //CoefficientSpace_y Y(mesh); SubSpace X(V, 0); SubSpace Y(V, 1); Function u(V); Solution usol(V); usol.interpolate(u.vector(), V); BilinearForm a(V, V); LinearForm L(V); a.u = u; L.u = u; DirichletBoundary boundary; BoundaryValue ubc(X); DirichletBC bc(X, ubc, boundary); VariationalProblem problem(a, L, bc, true); problem.solve(u); Function x = u[0]; Function y = u[1]; File xfile("x.pvd"); xfile << x; File yfile("y.pvd"); yfile << y; //plot(x); //plot(y); } syfi-1.0.0.dfsg.orig/sandbox/demo/HarmonicMap/cpp/HarmonicMap.ufl0000644000175000017500000000072311672223006024474 0ustar johannrjohannr# # Harmonic map demo using automatic differentiation. # cell = triangle xfe = VectorElement('CG', cell, 1) lfe = FiniteElement('CG', cell, 1) mfe = xfe + lfe vv = TestFunction(mfe) uu = TrialFunction(mfe) #x = Function(xfe) #y = Function(lfe) u = Function(mfe) x, y = split(u) L = inner(grad(x), grad(x))*dx + dot(x,x)*y*dx #F = derivative(L, (x,y), vv) #J = derivative(F, (x,y), uu) F = derivative(L, u, vv) J = derivative(F, u, uu) forms = [L, F, J] syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/0000755000175000017500000000000011674103625022022 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/0000755000175000017500000000000011672223006022576 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/subdomains.h0000644000175000017500000000261611672223006025120 0ustar johannrjohannr#ifndef SUBDOMAINS_H #define SUBDOMAINS_H #include const double eps = DOLFIN_EPS; class DomainXY0: public SubDomain { public: bool inside(const double* x, bool on_boundary) const { return x[0] < eps && x[1] < eps; } }; class DomainXYZ0: public SubDomain { public: bool inside(const double* x, bool on_boundary) const { return x[0] < eps && x[1] < eps && x[2] < eps; } }; class Side0: public SubDomain { int side; double value; public: Side0(int side, double value): side(side), value(value) {} bool inside(const double* x, bool on_boundary) const { return x[side] < value + eps; } }; class Side1: public SubDomain { int side; double value; public: Side1(int side, double value): side(side), value(value) {} bool inside(const double* x, bool on_boundary) const { return x[side] > value - eps; } }; class PressureBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { //return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); return false; } }; class DirichletBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { //return x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS; return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); } }; #endif syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/fibers.h0000644000175000017500000000411111672223006024216 0ustar johannrjohannr#ifndef FIBERS_H #define FIBERS_H #include #include class FiberFieldBase: public Function { protected: double theta, phi; double ct, st, cp, sp; public: FiberFieldBase(const FunctionSpace & V, double theta, double phi): Function(V), theta(theta), phi(phi) { ct = cos(theta); st = sin(theta); cp = cos(phi); sp = sin(phi); } }; class FiberField_f: public FiberFieldBase { public: FiberField_f(const FunctionSpace & V, double theta, double phi): FiberFieldBase(V, theta, phi) {} void eval(double* values, const double* x) const { // Fiber direction values[0] = ct; values[1] = st; values[2] = 0; } }; class FiberField_s: public FiberFieldBase { public: FiberField_s(const FunctionSpace & V, double theta, double phi): FiberFieldBase(V, theta, phi) {} void eval(double* values, const double* x) const { // Sheet direction values[0] = -st; values[1] = ct; values[2] = 0; } }; class FiberField_n: public FiberFieldBase { public: FiberField_n(const FunctionSpace & V, double theta, double phi): FiberFieldBase(V, theta, phi) {} void eval(double* values, const double* x) const { double v[6]; // Fiber direction v[0] = ct; v[1] = st; v[2] = 0; // Sheet direction v[3] = -st; v[4] = ct; v[5] = 0; // Sheet normal direction values[0] = v[1]*v[5] - v[2]*v[4]; values[1] = -v[5]*v[0] + v[2]*v[3]; values[2] = v[0]*v[4] - v[1]*v[3]; } }; class FiberField: public FiberFieldBase { public: FiberField(const FunctionSpace & V, double theta, double phi): FiberFieldBase(V, theta, phi) {} void eval(double* values, const double* x) const { // Fiber direction values[0] = ct; values[1] = st; values[2] = 0; // Sheet direction values[3] = -st; values[4] = ct; values[5] = 0; // Sheet normal direction values[6] = values[1]*values[5] - values[2]*values[4]; values[7] = -values[5]*values[0] + values[2]*values[3]; values[8] = values[0]*values[4] - values[1]*values[3]; } }; #endif syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/functions.h0000644000175000017500000000254111672223006024761 0ustar johannrjohannr#ifndef FUNCTIONS_H #define FUNCTIONS_H #include class Value3D: public Function { public: Value3D(const FunctionSpace & V, double xv, double yv, double zv): Function(V), xv(xv), yv(yv), zv(zv) {} void eval(double* values, const double* x) const { values[0] = xv; values[1] = yv; values[2] = zv; } double xv, yv, zv; }; class Value: public Function { public: Value(const FunctionSpace & V, double value): Function(V), value(value) {} void eval(double* values, const double* x) const { values[0] = value; } double value; }; class BoundaryPressure: public Function { public: BoundaryPressure(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 0.0; } }; /* const double dx = x[0] - 0.5; const double dy = x[1] - 0.5; const double dz = x[2] - 0.5; */ class BodyForce: public Function { public: BodyForce(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 0.0; values[1] = 0.0; values[2] = 0.0; } }; class Displacement: public Function { public: Displacement(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 0.0; values[1] = 0.0; values[2] = 0.0; } }; #endif syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/testruns.py0000644000175000017500000000311411672223006025036 0ustar johannrjohannr from dolfin_utils.pjobs import submit # Defaults from main.cpp: theta = 0 sigma_0 = 15 K = 0.876 C_compr = 10.0 bff = 18.48 bfx = 3.58 bxx = 2.8 # Variations we want to test: theta_values = (0, 22.5, 45, 77.5, 90) sigma_0_values = (5, 15, 45) C_compr_values = (1, 3, 10, 20, 50, 100) bff_values = tuple(bff*s for s in (0.8, 1.0, 1.2)) bfx_values = tuple(bfx*s for s in (0.8, 1.0, 1.2)) bxx_values = tuple(bxx*s for s in (0.8, 1.0, 1.2)) # A smaller set for testing: theta_values = (0,) sigma_0_values = (15,) C_compr_values = (10,) bff_values = (bff,) bfx_values = (bfx,) bxx_values = (bxx,) # Queue all jobs! appname = "demo" names = [] jobs = [] for theta in theta_values: for sigma_0 in sigma_0_values: for C_compr in C_compr_values: for bff in bff_values: for bfx in bfx_values: for bxx in bxx_values: parameters = [\ ("theta", theta), ("sigma_0", sigma_0), ("C_compr", C_compr), ("bff", bff), ("bfx", bfx), ("bxx", bxx), ] name = "%s__%s" % (appname, "__".join("%s_%s" % (a, b) for (a, b) in parameters)) cmd = "./%s %s" % (appname, " ".join("--%s=%s" % (a, b) for (a, b) in parameters)) jobs.append(cmd) names.append(name) submit(jobs, name=names, nodes=1, ppn=8, walltime=24) syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/SConstruct0000644000175000017500000000140111672223006024624 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Code generation is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable') # Enable no optimization env.ParseConfig('echo -g -O0') # Add boost libraries env.ParseConfig('echo -lboost_program_options') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/Makefile0000644000175000017500000000112511672223006024235 0ustar johannrjohannr FLAGS=--integration-method=quadrature --integration-order=9 --safemode=0 FORM=ElectroMechanics demo: main.cpp *.h generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=u.pvd & paraview --data=usol.pvd & paraview --data=e.pvd & fibers: demo ./demo --theta=22.5 paraview --data=A.pvd & run: demo rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/run.sh0000755000175000017500000000035111672223006023740 0ustar johannrjohannr#!/bin/bash BC='--stretch=0.01 --fullbc=false' MATERIAL='--theta=45' INIT='--skipsvk=false' TIME='--rho=1 --dt=1 --beta=0' MESH='--nx=8 --ny=8 --nz=8' PARAMS=$TIME' '$MESH' '$INIT' '$BC' '$MATERIAL echo ./demo $PARAMS ./demo $PARAMS syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/ElectroMechanics.ufl0000644000175000017500000000715211672223006026523 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-23 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("DG", cell, 0) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # --- Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # --- Time parameters dt = Constant(cell) beta = Constant(cell) # Turn acceleration term on/off by setting this to 1/0 # --- External forces # Body force g = Function(u_element) sigma_0 = Function(p_element) # --- Material parameters # Fiber field A = Function(A_element) # Material density rho = Constant(cell) # Fung parameters K = Constant(cell) C_compr = Constant(cell) bff = Constant(cell) bfx = Constant(cell) bxx = Constant(cell) # SVK material parameters lamda = Constant(cell) mu = Constant(cell) # --- Time stepping terms # Time stepping parameter to multiply other terms with k = dt**2 / rho # Acceleration term discretized with finite differences a = u - 2*up + upp # --- Deformation gradient terms I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # --- Strain terms # Left Cauchy-Green deformation tensor #B = F*F.T #I1_B = tr(B) #I2_B = (I1_B**2 - tr(B*B))/2 #I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F #I1_C = tr(C) #I2_C = (I1_C**2 - tr(C*C))/2 #I3_C = J**2 # Green strain tensor E = (C-I)/2 E = variable(E) # --- Fung based equation # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function psi(Q(Ef)) Q = bff * Ef[0,0]**2 + \ bxx * (Ef[1,1]**2 + Ef[2,2]**2 + Ef[1,2]**2 + Ef[2,1]**2) + \ bfx * (Ef[0,1]**2 + Ef[0,2]**2 + Ef[1,0]**2 + Ef[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*ln(J) - J + 1) # First Piola-Kirchoff stress tensor P = diff(psi, F) # Alternative: #S = 2*diff(psi, C) #P = F*S # Active forces TODO: Define nonzero active forces S_a = 0*I P_a = F*S_a # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? FIXME: When switching the second and third term, UFL fails! a_F = beta*dot(a, v)*dx\ + k*inner(P + P_a, grad(v))*dx\ - k*dot(g, v)*dx\ - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # DOLFIN Newton solver expects "J" and "F" for the # system "J du = -F", so we won't flip the sign here #a_F = -a_F ## --- Invariants of C #J2 = J**2 # det(C) #I1 = tr(C) #I2 = (I1**2 - inner(C,C)**2)/2 #I3 = J2 # ## --- Mooney-Rivlin constitutive law #psi = c_1*(I1-3) + c2*(I2-3) # ## --- Neo-Hookean constitutive law #psi = c1*(I1-3) # --- SVK based equation # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff law psi_svk = lamda/2 * tr(E)**2 + mu * inner(E, E) # First Piola-Kirchoff stress tensor P_svk = F*diff(psi_svk, E) # Energy functional (without acceleration term and external forces) a_f_svk = psi_svk*dx # Residual equation # FIXME: Correct signs here? FIXME: When switching the second and third term of the Fung law, UFL fails! For SVK too? a_F_svk = beta*dot(a, v)*dx\ + k*inner(P_svk, grad(v))*dx\ - k*dot(g, v)*dx\ - k*dot(J*sigma_0*Finv.T*n, v)*ds a_J_svk = derivative(a_F_svk, u, w) # DOLFIN Newton solver expects "J" and "F" for the # system "J du = -F", so we won't flip the sign here #a_F_svk = -a_F_svk # --- TODO: Add some forms for computing stress and strain from a solution forms = [a_f, a_F, a_J, a_f_svk, a_F_svk, a_J_svk] syfi-1.0.0.dfsg.orig/sandbox/demo/ElectroMechanics/cpp/main.cpp0000644000175000017500000003126611672223006024236 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves a simplified electromechanics problem. #include #include using std::cout; using std::endl; #include namespace po = boost::program_options; #include using dolfin::message; using dolfin::Function; using dolfin::MeshFunction; using dolfin::FunctionSpace; using dolfin::SubSpace; using dolfin::SubDomain; using dolfin::uint; using dolfin::UnitCube; using dolfin::DirichletBC; using dolfin::BoundaryCondition; using dolfin::pointwise; using dolfin::VariationalProblem; using dolfin::Vector; using dolfin::Matrix; using dolfin::File; #include "generated_code/ElectroMechanics.h" using namespace ElectroMechanics; #include "subdomains.h" #include "functions.h" #include "fibers.h" const double pi = DOLFIN_PI; int main(int argc, char**argv) { // Application options po::options_description desc("Options allowed:"); po::variables_map vm; { desc.add_options() ("help", "Produce this help message.") ("nx", po::value()->default_value(5), "Number of cells in x direction.") ("ny", po::value()->default_value(5), "Number of cells in y direction.") ("nz", po::value()->default_value(5), "Number of cells in z direction.") ("Lx", po::value()->default_value(1), "Domain length in x direction.") ("Ly", po::value()->default_value(1), "Domain length in y direction.") ("Lz", po::value()->default_value(1), "Domain length in z direction.") ("theta,t", po::value()->default_value(0), "Fiber angle in x-y plane.") ("phi,p", po::value()->default_value(0), "Fiber angle in (xy)-z plane. DISABLED!") ("dt", po::value()->default_value(1), "Time step.") ("beta", po::value()->default_value(1), "Acceleration term switch (1/0). NB! If you set this to 0, set dt=1 and rho=1.") ("T", po::value()->default_value(1), "Max time. NOT USED.") ("skipsvk", po::value()->default_value(false), "Skip SVK solution.") ("fullbc", po::value()->default_value(false), "Set all components of u to 0 on all of x=0.") ("stretch", po::value()->default_value(0.01), "Displacement of u in x direction at x=1.") ("sigma_0", po::value()->default_value(0), "Boundary pressure (kPa).") ("lamda", po::value()->default_value(1), "TODO: Defaults. Material parameter.") ("mu", po::value()->default_value(1), "TODO: Defaults. Material parameter.") ("rho", po::value()->default_value(1), "Material parameter.") ("K", po::value()->default_value(0.876), "Material parameter (kPa).") ("C_compr", po::value()->default_value(10.0), "Material parameter (kPa).") ("bff", po::value()->default_value(18.48), "Material parameter.") ("bfx", po::value()->default_value(3.58), "Material parameter.") ("bxx", po::value()->default_value(2.8), "Material parameter.") ; po::store(po::parse_command_line(argc, argv, desc), vm); po::notify(vm); if(vm.count("help")) { cout << desc << endl; return 1; } } // Geometry message("Mesh"); double Lx = vm["Lx"].as(); double Ly = vm["Ly"].as(); double Lz = vm["Lz"].as(); unsigned nx = vm["nx"].as(); unsigned ny = vm["ny"].as(); unsigned nz = vm["nz"].as(); UnitCube mesh(nx, ny, nz); // Boundaries message("Boundaries"); MeshFunction sides(mesh, mesh.geometry().dim()-1); sides = 1001; Side0 x0_domain(0, 0.0); Side1 x1_domain(0, Lx); Side0 y0_domain(1, 0.0); Side1 y1_domain(1, Ly); Side0 z0_domain(2, 0.0); Side1 z1_domain(2, Lz); unsigned x0_marker = 10; unsigned x1_marker = 11; unsigned y0_marker = 20; unsigned y1_marker = 21; unsigned z0_marker = 30; unsigned z1_marker = 31; x0_domain.mark(sides, x0_marker); x1_domain.mark(sides, x1_marker); y0_domain.mark(sides, y0_marker); y1_domain.mark(sides, y1_marker); z0_domain.mark(sides, z0_marker); z1_domain.mark(sides, z1_marker); // Boundary condition markers unsigned pressure_boundary_marker = 0; //unsigned dirichlet_boundary_marker = 1; // Meshfunction to hold all boundary markers MeshFunction boundaries(mesh, mesh.geometry().dim()-1); boundaries = sides; // Set pressure boundary marker at x=1 //for(unsigned i=0; i()); Value beta(C, vm["beta"].as()); double T = vm["T"].as(); // Fiber field double theta = vm["theta"].as() * pi / 180.0; double phi = vm["phi"].as() * pi / 180.0; FiberField A(Q, theta, phi); // Write rows of A to vector field files if(true) { File A_file("A.pvd"); FiberField_f Af(V, theta, phi); FiberField_s As(V, theta, phi); FiberField_n An(V, theta, phi); //A_file << A; // For some reason doesn't work? A_file << Af; A_file << As; A_file << An; } // External forces BodyForce g(V); //BoundaryPressure sigma_0(P); Value sigma_0(P, vm["sigma_0"].as()); // Material parameters Value rho(C, vm["rho"].as()); Value lamda(C, vm["lamda"].as()); Value mu(C, vm["mu"].as()); Value K(C, vm["K"].as()); Value C_compr(C, vm["C_compr"].as()); Value bff(C, vm["bff"].as()); Value bfx(C, vm["bfx"].as()); Value bxx(C, vm["bxx"].as()); // Analytical manufactured solution Displacement usol(V); // Attach coefficients to forms CoefficientSet coeffs; coeffs.u = u; coeffs.up = up; coeffs.upp = upp; coeffs.dt = dt; coeffs.beta = beta; coeffs.A = A; coeffs.g = g; coeffs.sigma_0 = sigma_0; coeffs.rho = rho; coeffs.lamda = lamda; coeffs.mu = mu; coeffs.K = K; coeffs.C_compr = C_compr; coeffs.bff = bff; coeffs.bfx = bfx; coeffs.bxx = bxx; // Forms message("Forms"); Form_a_f f(coeffs); Form_a_F L(V, coeffs); Form_a_J a(V, V, coeffs); Form_a_f_svk f_svk(coeffs); Form_a_F_svk L_svk(V, coeffs); Form_a_J_svk a_svk(V, V, coeffs); // Setup boundary conditions message("Boundary conditions"); // ux = 0 at x=0 SubSpace Vx(V, 0); Value ux0(Vx, 0.0); // DirichletBC bc0(Vx, ux0, boundaries, x0_marker); DirichletBC bc0(Vx, ux0, x0_domain, pointwise); // uy = 0 at x=0 union y=0 DomainXY0 xy0_domain; SubSpace Vy(V, 1); Value uy0(Vy, 0.0); DirichletBC bc1(Vy, uy0, xy0_domain, pointwise); // uz = 0 at x=0 union y=0 union z=0 DomainXYZ0 xyz0_domain; SubSpace Vz(V, 2); Value uz0(Vz, 0.0); DirichletBC bc2(Vz, uz0, xyz0_domain, pointwise); // u = u0 at x=0 Value3D u0(V, 0.0, 0.0, 0.0); // DirichletBC bc3(V, u0, boundaries, x0_marker); DirichletBC bc3(V, u0, x0_domain, pointwise); // ux = stretch, uy = uz = 0, at x=1 Value3D u1(V, vm["stretch"].as(), 0.0, 0.0); // DirichletBC bc4(V, u1, boundaries, x1_marker); DirichletBC bc4(V, u1, x1_domain, pointwise); // collect DBCs for variational problem std::vector bcs; if(vm["fullbc"].as()) { // minimal DBC at x=0 bcs.push_back(&bc0); bcs.push_back(&bc1); bcs.push_back(&bc2); } else { // full DBC at x=0 bcs.push_back(&bc3); } // full DBC at x=1 bcs.push_back(&bc4); // Create variational problem (a, L, bcs, cell_domains, exterior_facet_domains, interior_facet_domains, nonlinear) message("Variational problem"); VariationalProblem problem_svk(a_svk, L_svk, bcs, 0, &boundaries, 0, true); VariationalProblem problem(a, L, bcs, 0, &boundaries, 0, true); // Compute and show linear system if(false) { message("================================================================================"); message("Printing linear system"); Matrix J; problem.J(J, u.vector()); J.disp(); Vector F; problem.F(F, u.vector()); F.disp(); message("================================================================================"); } // Solve! // Use zero as initial condition for the first nonlinear solve u.vector().zero(); bool skipsvk = vm["skipsvk"].as(); if(!skipsvk) { message("Solving SVK"); problem_svk.set("linear solver", "direct"); problem_svk.solve(u); File u_svk_file("u_svk.pvd"); u_svk_file << u; } // Use SVK solution as initial condition if it is computed message("Solving Fung"); problem.set("linear solver", "direct"); problem.solve(u); File ufile("u.pvd"); ufile << u; // Postprocessing message("Postprocessing"); // Interpolate usol Function usol_h(V); usol.interpolate(usol_h.vector(), V); File usolfile("usol.pvd"); usolfile << usol_h; // Compute functional value of u and exact solution f.u = u; double f_value = assemble(f); f.u = usol_h; double f_value2 = assemble(f); // Print limits of u if(true) { cout << endl; cout << "==========================" << endl; cout << "Norm of u_h = " << u.vector().norm() << endl; cout << "Min of u_h = " << u.vector().min() << endl; cout << "Max of u_h = " << u.vector().max() << endl; cout << endl; cout << "Norm of u_e = " << usol_h.vector().norm() << endl; cout << "Min of u_e = " << usol_h.vector().min() << endl; cout << "Max of u_e = " << usol_h.vector().max() << endl; cout << endl; cout << "f(u) = " << f_value << endl; cout << "f(u_exact) = " << f_value2 << endl; cout << "(u_exact is not correct)" << endl; cout << "==========================" << endl; } // Compute F at u for verification if(true) { Vector F; problem.F(F, u.vector()); cout << endl; cout << "==========================" << endl; cout << "Norm of F = " << F.norm() << endl; cout << "Min of F = " << F.min() << endl; cout << "Max of F = " << F.max() << endl; cout << "==========================" << endl; } // Compute e_h = usol_h - u if(false) { Function e_h(V); e_h.vector() = u.vector(); e_h.vector() -= usol_h.vector(); File efile("e.pvd"); efile << e_h; cout << endl; cout << "==========================" << endl; cout << "Norm of e_h = " << e_h.vector().norm() << endl; cout << "Min of e_h = " << e_h.vector().min() << endl; cout << "Max of e_h = " << e_h.vector().max() << endl; cout << "==========================" << endl; } //plot(w); message("Done!"); } syfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/0000755000175000017500000000000011674103625020521 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/cpp/0000755000175000017500000000000011672223006021275 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/cpp/DivMatrix.ufl0000644000175000017500000000026611672223006023720 0ustar johannrjohannr polygon = "triangle" element1 = VectorElement("CG", polygon, 2) element2 = FiniteElement("CG", polygon, 1) u = TrialFunction(element1) q = TestFunction(element2) a = div(u)*q*dx syfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/cpp/SConstruct0000644000175000017500000000120311672223006023323 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Generated code is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable -g') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/cpp/Makefile0000644000175000017500000000076311672223006022743 0ustar johannrjohannr FLAGS=--integration-method=symbolic #FLAGS=--integration-method=quadrature --integration-order=3 FORM=DivMatrix demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl run: demo rm -f *.pvd *.vtu ./demo view: run paraview --data=u.pvd & debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/DivMatrix/cpp/main.cpp0000644000175000017500000000220611672223006022725 0ustar johannrjohannr// Copyright (C) 2009 Kent-Andre Mardal // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // Modified by Martin Alnæs 2009. // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program computes the divergence matrix. #include #include "generated_code/DivMatrix.h" using namespace dolfin; using namespace DivMatrix; int main() { UnitSquare mesh(1, 1); BilinearForm::TrialSpace V(mesh); BilinearForm::TestSpace Q(mesh); BilinearForm a(Q, V); Matrix A; assemble(A, a); A.disp(); return 0; } syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/0000755000175000017500000000000011674103625023100 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/0000755000175000017500000000000011672223006023654 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/HyperElasticity.ufl0000644000175000017500000000567611672223006027524 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-05 # #include Law.ufl #include Cell.ufl # Elements u_element = VectorElement("CG", cell, 1) A_element = TensorElement("DG", cell, 0) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # --- Displacement u = Function(u_element) # --- Material parameters # Neo-Hookean material parameters c1_nh = Constant(cell) # Mooney-Rivlin material parameters c1 = Constant(cell) c2 = Constant(cell) # SVK material parameters lamda = Constant(cell) mu = Constant(cell) # Fiber field A = Function(A_element) # Fung parameters K = Constant(cell) C_compr = Constant(cell) bff = Constant(cell) bfx = Constant(cell) bxx = Constant(cell) # --- Deformation gradient terms I = Identity(cell.d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # --- Strain terms # Left Cauchy-Green deformation tensor B = F*F.T I_B = tr(B) II_B = (I_B**2 - tr(B*B))/2 III_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F I_C = tr(C) II_C = (I_C**2 - tr(C*C))/2 III_C = J**2 # Green strain tensor E = (C-I)/2 E = variable(E) # --- Debugging constitutive law if law == "D": psi = c1_nh*F[0,0]**2 # --- Neo-Hookean constitutive law if law == "NH": psi = c1_nh*(I_C-3) # --- Mooney-Rivlin constitutive law if law == "MR": psi = c1*(I_C-3) + c2*(II_C-3) # --- Saint Vernant-Kirchoff constitutive law if law == "SVK": # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff law psi = lamda/2 * tr(E)**2 + mu * inner(E, E) # --- Fung based equation if law == "Fung": # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function psi(Q(Ef)) Q = bff * Ef[0,0]**2 + \ bxx * (Ef[1,1]**2 + Ef[2,2]**2 + Ef[1,2]**2 + Ef[2,1]**2) + \ bfx * (Ef[0,1]**2 + Ef[0,2]**2 + Ef[1,0]**2 + Ef[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*ln(J) - J + 1) # --- Generic hyperelasticity equations # First Piola-Kirchoff stress tensor P = diff(psi, F) # Residual equation a_F = inner(P, grad(v).T)*dx # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # --- Generic equations computed using two levels of automatic differentiation: # Energy functional (without acceleration term and external forces) b_f = psi*dx # Residual equation b_F = derivative(b_f, u, v) # Residual equation b_J = derivative(b_F, u, w) # --- Generic equations computed using expressions # differentiated by hand and index notation: i, j, k, l, r, s, q, p = indices(8) # Residual equation c_F = P[k,l] * v[l].dx(k) * dx # Jacobi matrix of residual equation tmp = diff(psi, F)[k,l] tmp2 = diff(tmp, F)[r,s] c_J = tmp2 * w[s].dx(r) * v[l].dx(k) * dx # --- Export forms and functions forms = [a_F, a_J, b_F, b_J, c_F, c_J] functions = [u, A, c1_nh, c1, c2, lamda, mu, K, C_compr, bff, bfx, bxx] syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/Law.ufl0000644000175000017500000000007711672223006025113 0ustar johannrjohannr #law = "D" #law = "NH" #law = "MR" #law = "SVK" law = "Fung" syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/SConstruct0000644000175000017500000000127211672223006025710 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Code generation is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable') # Enable no optimization env.ParseConfig('echo -g -O0') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/Makefile0000644000175000017500000000100411672223006025307 0ustar johannrjohannr #FLAGS=--integration-method=symbolic FLAGS=--integration-method=quadrature --integration-order=9 --safemode=0 FORM=HyperElasticity demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl Law.ufl Cell.ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo rerun: clean run bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl run: demo #rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/main.cpp0000644000175000017500000001327211672223006025311 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-05-05 // Last changed: 2009-05-05 // // This program assembles linear systems for different definitions // of forms that are supposed to be equal, for comparing and debugging. #include #include #include "generated_code/HyperElasticity.h" using dolfin::Function; using dolfin::FunctionSpace; using dolfin::uint; using dolfin::UnitCube; using dolfin::UnitSquare; using dolfin::VariationalProblem; using dolfin::Vector; using dolfin::Matrix; using dolfin::File; using namespace HyperElasticity; using std::cout; using std::endl; // ---------------------------------------- Functions class Value: public Function { public: Value(const FunctionSpace & V, double value): Function(V), value(value) {} void eval(double* values, const double* x) const { values[0] = value; } double value; }; class Fibers: public Function { public: int d; Fibers(const FunctionSpace & V): Function(V), d(V.mesh().geometry().dim()) {} void eval(double* values, const double* x) const { if(d == 1) { values[0] = 1; } if(d == 2) { values[0] = 1; values[1] = 0; values[2] = 0; values[3] = 1; } if(d == 3) { values[0] = 1; values[1] = 0; values[2] = 0; values[3] = 0; values[4] = 1; values[5] = 0; values[6] = 0; values[7] = 0; values[8] = 1; } } double value; }; double norm(Matrix & A) { double sum = 0.0; std::vector columns; std::vector values; for(unsigned i=0; i 1e-12) sum += tmp; } if(sum < 1e-20) sum = 0.0; return sum; } // ---------------------------------------- Main program int main(int argc, char**argv) { // Geometry unsigned n = 1; UnitCube mesh(n, n, n); //UnitSquare mesh(n, n); // Function spaces Form_a_F::TestSpace V(mesh); // CoefficientSpace_c1_nh C(mesh); // CoefficientSpace_mu C(mesh); CoefficientSpace_K C(mesh); CoefficientSpace_A Q(mesh); // Material parameters Value c1_nh(C, 1.0); Value c1(C, 1.0); Value c2(C, 1.0); Value mu(C, 1.0); Value lamda(C, 1.0); Value K(C, 1.0); Value C_compr(C, 1.0); Value bff(C, 1.0); Value bfx(C, 1.0); Value bxx(C, 1.0); Fibers A(Q); // Displacement at current and two previous timesteps Function u(V); u.vector().zero(); // Collect coefficients CoefficientSet coeffs; coeffs.u = u; //coeffs.c1_nh = c1_nh; //coeffs.c1 = c1; //coeffs.c2 = c2; //coeffs.lamda = lamda; //coeffs.mu = mu; coeffs.K = K; coeffs.C_compr = C_compr; coeffs.bff = bff; coeffs.bfx = bfx; coeffs.bxx = bxx; coeffs.A = A; // a version Form_a_F L_a(V, coeffs); Form_a_J a_a(V, V, coeffs); VariationalProblem problem_a(a_a, L_a, true); Matrix J_a; problem_a.J(J_a, u.vector()); //J_a.disp(); Vector F_a; problem_a.F(F_a, u.vector()); //F_a.disp(); // b version Form_b_F L_b(V, coeffs); Form_b_J a_b(V, V, coeffs); VariationalProblem problem_b(a_b, L_b, true); Matrix J_b; problem_b.J(J_b, u.vector()); //J_b.disp(); Vector F_b; problem_b.F(F_b, u.vector()); //F_b.disp(); // c version Form_c_F L_c(V, coeffs); Form_c_J a_c(V, V, coeffs); VariationalProblem problem_c(a_c, L_c, true); Matrix J_c; problem_c.J(J_c, u.vector()); //J_c.disp(); Vector F_c; problem_c.F(F_c, u.vector()); //F_c.disp(); // dump to files File F_a_file("F_a.m"); F_a_file << F_a; File J_a_file("J_a.m"); J_a_file << J_a; File F_b_file("F_b.m"); F_b_file << F_b; File J_b_file("J_b.m"); J_b_file << J_b; File F_c_file("F_c.m"); F_c_file << F_c; File J_c_file("J_c.m"); J_c_file << J_c; // vector norms cout << "F a = " << F_a.norm() << endl; cout << "F b = " << F_b.norm() << endl; cout << "F c = " << F_c.norm() << endl; // matrix norms cout << "J a = " << norm(J_a) << endl; cout << "J b = " << norm(J_b) << endl; cout << "J c = " << norm(J_c) << endl; // vector diffs Vector F_diff; F_diff = F_a; F_diff -= F_b; cout << "F a - b = " << F_diff.norm() << endl; F_diff = F_a; F_diff -= F_c; cout << "F a - c = " << F_diff.norm() << endl; F_diff = F_b; F_diff -= F_c; cout << "F b - c = " << F_diff.norm() << endl; // matrix diffs Matrix J_diff; J_diff = J_a; J_diff -= J_b; cout << "J a - b = " << norm(J_diff) << endl; //J_diff.disp(); J_diff = J_a; J_diff -= J_c; cout << "J a - c = " << norm(J_diff) << endl; //J_diff.disp(); J_diff = J_b; J_diff -= J_c; cout << "J b - c = " << norm(J_diff) << endl; //J_diff.disp(); } syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityModels/cpp/Cell.ufl0000644000175000017500000000012311672223006025237 0ustar johannrjohannr # Cell and its properties #cell = triangle cell = tetrahedron #cell = hexahedron syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/0000755000175000017500000000000011674103625022554 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/0000755000175000017500000000000011672223006023330 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/SConstruct0000644000175000017500000000127211672223006025364 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Code generation is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable') # Enable no optimization env.ParseConfig('echo -g -O0') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/Makefile0000644000175000017500000000131211672223006024765 0ustar johannrjohannr # 8.7 s: #FLAGS=--integration-method=quadrature --integration-order=9 --safemode=0 # 1.9 s: #FLAGS=--integration-method=quadrature --integration-order=2 --safemode=0 # 3.2 s: FLAGS=--integration-method=quadrature --integration-order=5 --safemode=0 FORM=HyperElasticityFung demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=u.pvd & paraview --data=usol.pvd & paraview --data=e.pvd & run: demo rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/HyperElasticityFung.ufl0000644000175000017500000000447311672223006030012 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-12 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 2) p_element = FiniteElement("CG", cell, 1) A_element = TensorElement("DG", cell, 0) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # Fiber field A = Function(A_element) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) K = Constant(cell) C_compr = Constant(cell) bff = Constant(cell) bfx = Constant(cell) bxx = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T F = variable(F) Finv = inv(F) J = det(F) # Left Cauchy-Green deformation tensor #B = F*F.T #I1_B = tr(B) #I2_B = (I1_B**2 - tr(B*B))/2 #I3_B = J**2 # Right Cauchy-Green deformation tensor C = F.T*F #I1_C = tr(C) #I2_C = (I1_C**2 - tr(C*C))/2 #I3_C = J**2 # Green strain tensor E = (C-I)/2 # Mapping of strain in fiber directions Ef = A*E*A.T # Strain energy function psi(Q(Ef)) Q = bff * Ef[0,0]**2 + \ bxx * (Ef[1,1]**2 + Ef[2,2]**2 + Ef[1,2]**2 + Ef[2,1]**2) + \ bfx * (Ef[0,1]**2 + Ef[0,2]**2 + Ef[1,0]**2 + Ef[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*ln(J) - J + 1) # First Piola-Kirchoff stress tensor P = diff(psi, F) # Alternative: #S = 2*diff(psi, C) #P = F*S # Active forces TODO: Define nonzero active forces S_a = 0*I P_a = F*S_a # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? # FIXME: Swapping the second and third line here makes this compile again a_F = dot(a, v)*dx \ + k*inner(P + P_a, grad(v))*dx \ - k*dot(g, v)*dx \ - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Newton solver solves J du = -F, so we'll flip the sign here FIXME: What is right? #a_F = -a_F # TODO: Add some forms for computing stress and strain from a solution forms = [a_f, a_F, a_J] syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/main.cpp0000644000175000017500000002325311672223006024765 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves the hyperelasticity // equations in 3D with a Fung type model. #include #define TMIN 3.0 #define MMIN 1000 clock_t __tic_time; void tic() { __tic_time = clock(); } double toc() { clock_t __toc_time = clock(); double elapsed_time = ((double) (__toc_time - __tic_time)) / CLOCKS_PER_SEC; return elapsed_time; } #include #include #include #include "generated_code/HyperElasticityFung.h" using dolfin::message; using dolfin::Function; using dolfin::MeshFunction; using dolfin::FunctionSpace; using dolfin::SubDomain; using dolfin::uint; using dolfin::UnitCube; using dolfin::DirichletBC; using dolfin::BoundaryCondition; using dolfin::VariationalProblem; using dolfin::Vector; using dolfin::Matrix; using dolfin::File; using namespace HyperElasticityFung; using std::cout; using std::endl; const double eps = DOLFIN_EPS; class Value: public Function { public: Value(const FunctionSpace & V, double value): Function(V), value(value) {} void eval(double* values, const double* x) const { values[0] = value; } double value; }; class FiberField: public Function { public: FiberField(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { const double theta = 0.0; // const double ct = cos(theta); // const double st = sin(theta); const double ct = 1.0; const double st = 0.0; // Fiber direction values[0] = ct; values[1] = st; values[2] = 0.0; // Sheet direction values[3] = -st; values[4] = ct; values[5] = 0.0; // Sheet normal direction values[6] = 0.0; values[7] = 0.0; values[8] = 1.0; } }; const double a = 0.01; class BodyForce: public Function { public: BodyForce(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { values[0] = 0; values[1] = 0; values[2] = 0; } }; class BoundaryPressure: public Function { public: BoundaryPressure(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { // TODO: Set some nonzero pressure values[0] = 0.0; } }; class Displacement: public Function { public: Displacement(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { const double dx = x[0] - 0.5; const double dy = x[1] - 0.5; const double dz = x[2] - 0.5; // Working: // values[0] = 0.05*dx; // values[1] = -0.05*dy; // values[2] = 0.0; // Not working: // values[0] = 0.1*dx; // values[1] = -0.1*dy; // values[2] = 0.0; // Not working: // values[0] = sin(x[1]); // values[1] = sin(x[0]); // values[2] = 0.0; // Not working: // values[0] = 0.1 * sin(x[1]); // values[1] = 0.1 * sin(x[0]); // values[2] = 0.1 * 0.0; // Working: // values[0] = 0.01 * sin(x[1]); // values[1] = 0.01 * sin(x[0]); // values[2] = 0.01 * 0.0; // Not working: values[0] = 0.0001*x[0]; values[1] = 0.0; values[2] = 0.0; // values[0] = a*( sin(x[1])-x[1]); // values[1] = -a*( x[2]-sin(x[2])); // values[2] = -( x[0]-sin(x[0]))*a; } }; class PressureBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { //return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); return false; } }; class DirichletBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { return x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS; // return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); } }; int main(int argc, char**argv) { // Geometry message("Mesh"); unsigned n = 6; UnitCube mesh(n, n, n); mesh.disp(); // Boundaries message("Boundaries"); unsigned pressure_boundary_marker = 0; unsigned dirichlet_boundary_marker = 1; MeshFunction boundaries(mesh, mesh.geometry().dim()-1); PressureBoundary pressure_boundary; pressure_boundary.mark(boundaries, pressure_boundary_marker); DirichletBoundary dirichlet_boundary; dirichlet_boundary.mark(boundaries, dirichlet_boundary_marker); // Function spaces message("Function spaces"); Form_a_F::TestSpace V(mesh); CoefficientSpace_sigma_0 P(mesh); CoefficientSpace_K C(mesh); CoefficientSpace_A Q(mesh); // Coefficient functions message("Functions"); // Displacement at current and two previous timesteps Function u(V); Function up(V); Function upp(V); u.vector().zero(); up.vector().zero(); upp.vector().zero(); // Time parameters Value dt(C, 1.0); // Fiber field FiberField A(Q); // External forces BodyForce g(V); BoundaryPressure sigma_0(P); // Material parameters Value rho(C, 1.0); Value K(C, 0.876); // kPa // TODO: Get the right units Value C_compr(C, 10.0); // kPa Value bff(C, 18.48); Value bfx(C, 3.58); Value bxx(C, 2.8); // Analytical manufactured solution Displacement usol(V); // Attach coefficients to forms CoefficientSet coeffs; coeffs.u = u; coeffs.up = up; coeffs.upp = upp; coeffs.dt = dt; coeffs.A = A; coeffs.g = g; coeffs.sigma_0 = sigma_0; coeffs.rho = rho; coeffs.K = K; coeffs.C_compr = C_compr; coeffs.bff = bff; coeffs.bfx = bfx; coeffs.bxx = bxx; // Forms message("Forms"); Form_a_f f(coeffs); Form_a_F L(V, coeffs); Form_a_J a(V, V, coeffs); // Setup boundary conditions message("Boundary conditions"); // Dirichlet boundary conditions DirichletBC bc(V, usol, boundaries, dirichlet_boundary_marker); std::vector bcs; bcs.push_back(&bc); // Create variational problem (a, L, bcs, cell_domains, exterior_facet_domains, interior_facet_domains, nonlinear) message("Variational problem"); VariationalProblem problem(a, L, bcs, 0, &boundaries, 0, true); // Compute and show linear system if(true) { message("================================================================================"); message("Printing linear system"); Matrix J; tic(); problem.J(J, u.vector()); cout << "Time to assemble J = " << toc() << endl; //J.disp(); Vector F; tic(); problem.F(F, u.vector()); cout << "Time to assemble F = " << toc() << endl; //F.disp(); cout << "Size of system = " << F.size() << endl; message("================================================================================"); } return 0; // Solve! message("Solving"); problem.set("linear solver", "direct"); problem.solve(u); // Postprocessing message("Postprocessing"); // Interpolate usol Function usol_h(V); usol.interpolate(usol_h.vector(), V); // Compute functional value of u and exact solution f.u = u; double f_value = assemble(f); f.u = usol_h; double f_value2 = assemble(f); // Print limits of u cout << endl; cout << "==========================" << endl; cout << "Norm of u_h = " << u.vector().norm() << endl; cout << "Min of u_h = " << u.vector().min() << endl; cout << "Max of u_h = " << u.vector().max() << endl; cout << endl; cout << "Norm of u_e = " << usol_h.vector().norm() << endl; cout << "Min of u_e = " << usol_h.vector().min() << endl; cout << "Max of u_e = " << usol_h.vector().max() << endl; cout << endl; cout << "f(u) = " << f_value << endl; cout << "f(u_exact) = " << f_value2 << endl; cout << "(u_exact is not correct)" << endl; cout << "==========================" << endl; // Compute F at u for verification Vector F; problem.F(F, u.vector()); cout << endl; cout << "==========================" << endl; cout << "Norm of F = " << F.norm() << endl; cout << "Min of F = " << F.min() << endl; cout << "Max of F = " << F.max() << endl; cout << "==========================" << endl; // Compute e_h = usol_h - u Function e_h(V); e_h.vector() = u.vector(); e_h.vector() -= usol_h.vector(); cout << endl; cout << "==========================" << endl; cout << "Norm of e_h = " << e_h.vector().norm() << endl; cout << "Min of e_h = " << e_h.vector().min() << endl; cout << "Max of e_h = " << e_h.vector().max() << endl; cout << "==========================" << endl; // Interpolate fiber field Function Ah(Q); A.interpolate(Ah.vector(), Q); //plot(w); // Write functions to file message("Writing to file"); File ufile("u.pvd"); ufile << u; File usolfile("usol.pvd"); usolfile << usol_h; File efile("e.pvd"); efile << e_h; File Afile("A.pvd"); Afile << Ah; message("Done!"); } syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticityFung/cpp/manufactured_solution.py0000644000175000017500000000433711672223006030323 0ustar johannrjohannr import swiginac from swiginac import * def tr(A): return sum(A[i,i] for i in range(3)) def inner(A, B): return sum(A[i,j]*B[i,j] for i in range(3) for j in range(3)) def diff(f, v): if isinstance(v, matrix): assert not isinstance(f, matrix) return matrix(3, 3, [swiginac.diff(f, v[i,j]) for i in range(3) for j in range(3)]) return swiginac.diff(f, v) def subs(f, s, v): assert isinstance(s, matrix) assert isinstance(v, matrix) repmap = exmap() for i in range(3): for j in range(3): repmap[s[i,j]] = v[i,j] return f.subs(repmap) # --- Derivation of manufactured analytical solution: # Some useful symbols x = matrix(3,1, [symbol("x[%d]" % i) for i in range(3)]) K = symbol("K") bff = symbol("bff") bfx = symbol("bfx") bxx = symbol("bxx") C_compr = symbol("C_compr") # Picking an arbitrary divergence free solution a = symbol("a") u = matrix(3,1, [a*(sin(x[1]) - x[1]), a*(sin(x[2]) - x[2]), a*(sin(x[0]) - x[0])]) div_u = sum(diff(u[i], x[i]) for i in range(3)) if not div_u.expand().evalf() == 0: print "WARNING: div(u) =", div_u # Want to compute g! # Compute value of F I = matrix(3, 3, [1,0,0, 0,1,0, 0,0,1]) DuT = matrix(3, 3, [diff(u[i], x[j]) for i in range(3) for j in range(3)]) Fvalue = I + DuT # Compute psi(F) F = symbolic_matrix(3, 3, "F") FT = transpose(F) J = determinant(F) C = FT*F E = (C - I) / 2 Q = bff * E[0,0]**2 + \ bxx * (E[1,1]**2 + E[2,2]**2 + E[1,2]**2 + E[2,1]**2) + \ bfx * (E[0,1]**2 + E[0,2]**2 + E[1,0]**2 + E[2,0]**2) psi = (K/2)*(exp(Q) - 1) + C_compr * (J*log(J) - J + 1) # First Piola-Kirchoff stress tensor P = diff(psi, F) # Substitute value of F into P P = subs(P, F, Fvalue) # Compute g using strong form of equation # FIXME: Signs! #g = u - div P divP = matrix(3, 1, [sum(diff(P[i,j], x[i]) for i in range(3)) for j in range(3)]) g = u - divP # Print solutions print print "u:" print " values[0] = %s;" % u[0].printc() print " values[1] = %s;" % u[1].printc() print " values[2] = %s;" % u[2].printc() print print "g:" print " values[0] = %s;" % g[0].printc() print " values[1] = %s;" % g[1].printc() print " values[2] = %s;" % g[2].printc() print syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/0000755000175000017500000000000011674103625024210 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/0000755000175000017500000000000011672223006024764 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/SConstruct0000644000175000017500000000127211672223006027020 0ustar johannrjohannr# This is an example of a simple SConstruct file for building # programs against DOLFIN. To build this demo, just type 'scons'. import os, glob, commands # Get compiler from pkg-config compiler = commands.getoutput('pkg-config --variable=compiler dolfin') # Create a SCons Environment based on the main os environment env = Environment(ENV=os.environ, CXX=compiler) # Get compiler flags from pkg-config env.ParseConfig('pkg-config --cflags --libs dolfin') # Code generation is not this robust (yet) env.ParseConfig('echo -Wno-unused-variable') # Enable no optimization env.ParseConfig('echo -g -O0') # Program name env.Program('demo', glob.glob("*.cpp") + glob.glob("generated_code/*.cpp")) syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/Makefile0000644000175000017500000000107411672223006026426 0ustar johannrjohannr #FLAGS=--integration-method=symbolic FLAGS=--integration-method=quadrature --integration-order=3 --safemode=0 FORM=HyperElasticitySVK demo: main.cpp generated_code/$(FORM).h scons -j3 generated_code/$(FORM).h: $(FORM).ufl sfc -w1 $(FLAGS) -ogenerated_code $(FORM).ufl generate: clean demo bench: $(FORM).ufl sfc -b1 $(FLAGS) $(FORM).ufl view: run paraview --data=u.pvd & paraview --data=usol.pvd & paraview --data=e.pvd & run: demo rm -f *.pvd *.vtu ./demo debug: demo gdb ./demo clean: rm -f *.pvd *.vtu rm -rf demo generated_code *.o rm -f *.pyc syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/main.cpp0000644000175000017500000002727411672223006026430 0ustar johannrjohannr// Copyright (C) 2009 Martin Sandve Alnes // // This file is part of SyFi. // // SyFi is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // SyFi is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with SyFi. If not, see . // // First added: 2009-01-01 // Last changed: 2009-04-01 // // This demo program solves a hyperelasticity problem // in 3D using the Saint-Vernant-Kirchoff model. #include #include #include #include "generated_code/HyperElasticitySVK.h" using dolfin::message; using dolfin::Function; using dolfin::MeshFunction; using dolfin::FunctionSpace; using dolfin::SubDomain; using dolfin::uint; using dolfin::UnitCube; using dolfin::DirichletBC; using dolfin::BoundaryCondition; using dolfin::VariationalProblem; using dolfin::Vector; using dolfin::Matrix; using dolfin::File; using namespace HyperElasticitySVK; using std::cout; using std::endl; // ---------------------------------------- Constant parameters const double eps = DOLFIN_EPS; const double a = 0.03; // ---------------------------------------- Functions class Value: public Function { public: Value(const FunctionSpace & V, double value): Function(V), value(value) {} void eval(double* values, const double* x) const { values[0] = value; } double value; }; class BodyForce: public Function { public: BodyForce(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { const double dx = x[0] - 0.5; const double dy = x[1] - 0.5; const double dz = x[2] - 0.5; const double lamda = 1.0; const double mu = 1.0; // values[0] = sin(x[1])*mu*a+a*( sin(x[1])-x[1])+lamda*( cos(x[0])-1.0)*sin(x[0])*(a*a)+lamda*( cos(x[0])-1.0)*sin(x[2])*( cos(x[2])-1.0)*(a*a*a)+2.0*( cos(x[0])-1.0)*sin(x[0])*mu*(a*a); // values[1] = lamda*( cos(x[0])-1.0)*sin(x[0])*(a*a*a)*( cos(x[1])-1.0)+2.0*sin(x[1])*mu*(a*a)*( cos(x[1])-1.0)+mu*sin(x[2])*a+( sin(x[2])-x[2])*a+lamda*sin(x[1])*(a*a)*( cos(x[1])-1.0); // values[2] = -( x[0]-sin(x[0]))*a+sin(x[0])*mu*a+2.0*mu*sin(x[2])*( cos(x[2])-1.0)*(a*a)+lamda*sin(x[2])*( cos(x[2])-1.0)*(a*a)+lamda*sin(x[1])*( cos(x[2])-1.0)*(a*a*a)*( cos(x[1])-1.0); // values[0] = x[0]*a; // values[1] = 0.0000000000000000e+00; // values[2] = 0.0000000000000000e+00; // values[0] = -lamda*( x[1]*a*x[2]+1.0)*( x[0]*(x[1]*x[1])*(a*a)+x[0]*(a*a)*(x[2]*x[2]))+x[0]*x[1]*a*x[2]-x[0]*mu*(x[1]*x[1])*(a*a)+-2.0*x[0]*( x[1]*a*x[2]+1.0)*mu*(x[1]*x[1])*(a*a)-x[0]*mu*(a*a)*(x[2]*x[2])+-2.0*x[0]*( x[1]*a*x[2]+1.0)*mu*(a*a)*(x[2]*x[2]); // values[1] = -a*( 2.0*(x[0]*x[0])*mu*(a*a)*(x[2]*x[2])+lamda*( (x[0]*x[0])*(a*a)*(x[2]*x[2])+(x[0]*x[0])*(x[1]*x[1])*(a*a)+pow( x[1]*a*x[2]+1.0,2.0)-1.0))*x[2]/2.0+-3.0*(x[0]*x[0])*mu*(x[1]*x[1])*(a*a*a)*x[2]-pow( x[1]*a*x[2]+1.0,2.0)*mu*a*x[2]-lamda*( ( x[1]*a*x[2]+1.0)*a*x[2]+(x[0]*x[0])*x[1]*(a*a))-x[0]*( lamda*( x[0]*(x[1]*x[1])*(a*a)+x[0]*(a*a)*(x[2]*x[2]))+2.0*x[0]*mu*(a*a)*(x[2]*x[2]))*a*x[2]-(x[0]*x[0])*mu*x[1]*(a*a); // values[2] = -pow( x[1]*a*x[2]+1.0,2.0)*mu*x[1]*a-(x[0]*x[0])*mu*(a*a)*x[2]-x[1]*a*( 2.0*(x[0]*x[0])*mu*(x[1]*x[1])*(a*a)+lamda*( (x[0]*x[0])*(a*a)*(x[2]*x[2])+(x[0]*x[0])*(x[1]*x[1])*(a*a)+pow( x[1]*a*x[2]+1.0,2.0)-1.0))/2.0-lamda*( (x[0]*x[0])*(a*a)*x[2]+( x[1]*a*x[2]+1.0)*x[1]*a)+-3.0*(x[0]*x[0])*mu*x[1]*(a*a*a)*(x[2]*x[2])-( 2.0*x[0]*mu*(x[1]*x[1])*(a*a)+lamda*( x[0]*(x[1]*x[1])*(a*a)+x[0]*(a*a)*(x[2]*x[2])))*x[0]*x[1]*a; values[0] = x[0]*a; values[1] = x[1]*a; values[2] = a*x[2]; } }; class BoundaryPressure: public Function { public: BoundaryPressure(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { // TODO: Set some nonzero pressure values[0] = 0.0; } }; class Displacement: public Function { public: Displacement(const FunctionSpace & V): Function(V) {} void eval(double* values, const double* x) const { const double dx = x[0] - 0.5; const double dy = x[1] - 0.5; const double dz = x[2] - 0.5; // Working: // values[0] = 0.05*dx; // values[1] = -0.05*dy; // values[2] = 0.0; // Not working: // values[0] = 0.1*dx; // values[1] = -0.1*dy; // values[2] = 0.0; // Not working: // values[0] = sin(x[1]); // values[1] = sin(x[0]); // values[2] = 0.0; // Not working: // values[0] = 0.1 * sin(x[1]); // values[1] = 0.1 * sin(x[0]); // values[2] = 0.1 * 0.0; // Working: // values[0] = 0.01 * sin(x[1]); // values[1] = 0.01 * sin(x[0]); // values[2] = 0.01 * 0.0; // values[0] = a*( sin(x[1])-x[1]); // values[1] = ( sin(x[2])-x[2])*a; // values[2] = -( x[0]-sin(x[0]))*a; // values[0] = x[0]*a; // values[1] = 0.0000000000000000e+00; // values[2] = 0.0000000000000000e+00; // values[0] = x[0]*x[1]*a*x[2]; // values[1] = 0.0000000000000000e+00; // values[2] = 0.0000000000000000e+00; values[0] = x[0]*a; values[1] = x[1]*a; values[2] = a*x[2]; } }; // ---------------------------------------- Subdomains class PressureBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { //return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); return false; } }; class DirichletBoundary: public SubDomain { bool inside(const double* x, bool on_boundary) const { //return x[0] < DOLFIN_EPS || x[0] > 1.0-DOLFIN_EPS; return (x[0] < eps) || (x[0] > 1.0-eps) || (x[1] < eps) || (x[1] > 1.0-eps) || (x[2] < eps) || (x[2] > 1.0-eps); } }; // ---------------------------------------- Main program int main(int argc, char**argv) { // Geometry message("Mesh"); unsigned n = 12; UnitCube mesh(n, n, n); // Boundaries message("Boundaries"); unsigned pressure_boundary_marker = 0; unsigned dirichlet_boundary_marker = 1; MeshFunction boundaries(mesh, mesh.geometry().dim()-1); PressureBoundary pressure_boundary; pressure_boundary.mark(boundaries, pressure_boundary_marker); DirichletBoundary dirichlet_boundary; dirichlet_boundary.mark(boundaries, dirichlet_boundary_marker); // Function spaces message("Function spaces"); Form_a_F::TestSpace V(mesh); CoefficientSpace_sigma_0 P(mesh); CoefficientSpace_mu C(mesh); // Coefficient functions message("Functions"); // Displacement at current and two previous timesteps Function u(V); Function up(V); Function upp(V); u.vector().zero(); up.vector().zero(); upp.vector().zero(); // Time parameters Value dt(C, 1.0); // External forces BodyForce g(V); BoundaryPressure sigma_0(P); // Material parameters Value rho(C, 1.0); Value mu(C, 1.0); Value lamda(C, 1.0); // Analytical manufactured solution Displacement usol(V); // Collect coefficients CoefficientSet coeffs; coeffs.u = u; coeffs.up = up; coeffs.upp = upp; coeffs.dt = dt; coeffs.g = g; coeffs.sigma_0 = sigma_0; coeffs.rho = rho; coeffs.lamda = lamda; coeffs.mu = mu; coeffs.disp(); // Forms message("Forms"); Form_a_f f(coeffs); Form_a_F L(V, coeffs); Form_a_J a(V, V, coeffs); // Setup boundary conditions message("Boundary conditions"); // Dirichlet boundary conditions DirichletBC bc(V, usol, boundaries, dirichlet_boundary_marker); std::vector bcs; bcs.push_back(&bc); // Create variational problem (a, L, bcs, cell_domains, exterior_facet_domains, interior_facet_domains, nonlinear) message("Variational problem"); VariationalProblem problem(a, L, bcs, 0, &boundaries, 0, true); // Compute and show linear system if(false) { message("================================================================================"); message("Printing linear system"); Matrix J; problem.J(J, u.vector()); J.disp(); Vector F; problem.F(F, u.vector()); F.disp(); message("================================================================================"); } // Solve! message("Solving"); problem.set("linear solver", "direct"); //problem.set("linear solver", "iterative"); problem.solve(u); return 0; // Postprocessing message("Postprocessing"); // Interpolate usol Function usol_h(V); usol.interpolate(usol_h.vector(), V); // Compute functional value of u and exact solution f.u = u; double f_value = assemble(f); f.u = usol_h; double f_value2 = assemble(f); // Print limits of u cout << endl; cout << "==========================" << endl; cout << "Norm of u_h = " << u.vector().norm() << endl; cout << "Min of u_h = " << u.vector().min() << endl; cout << "Max of u_h = " << u.vector().max() << endl; cout << endl; cout << "Norm of u_e = " << usol_h.vector().norm() << endl; cout << "Min of u_e = " << usol_h.vector().min() << endl; cout << "Max of u_e = " << usol_h.vector().max() << endl; cout << endl; cout << "f(u) = " << f_value << endl; cout << "f(u_exact) = " << f_value2 << endl; cout << "(u_exact is not correct)" << endl; cout << "==========================" << endl; // Compute F at u for verification Vector F; problem.F(F, u.vector()); cout << endl; cout << "==========================" << endl; cout << "Norm of F = " << F.norm() << endl; cout << "Min of F = " << F.min() << endl; cout << "Max of F = " << F.max() << endl; cout << "==========================" << endl; // Compute e_h = usol_h - u Function e_h(V); e_h.vector() = u.vector(); e_h.vector() -= usol_h.vector(); cout << endl; cout << "==========================" << endl; cout << "Norm of e_h = " << e_h.vector().norm() << endl; cout << "Min of e_h = " << e_h.vector().min() << endl; cout << "Max of e_h = " << e_h.vector().max() << endl; cout << "==========================" << endl; // Forms for postprocessing // Project div(u) { Form_projection_a_div_u::TrialSpace V(mesh); Form_projection_a_div_u a(V, V, coeffs); Form_projection_L_div_u L(V, coeffs); VariationalProblem problem(a, L); problem.set("linear solver", "direct"); Function u(V); problem.solve(u); File tmp_file("div_u.pvd"); tmp_file << u; } // Project J = det F { Form_projection_a_J::TrialSpace V(mesh); Form_projection_a_J a(V, V, coeffs); Form_projection_L_J L(V, coeffs); VariationalProblem problem(a, L); problem.set("linear solver", "direct"); Function u(V); problem.solve(u); File tmp_file("J.pvd"); tmp_file << u; } // Project psi { Form_projection_a_psi::TrialSpace V(mesh); Form_projection_a_psi a(V, V, coeffs); Form_projection_L_psi L(V, coeffs); VariationalProblem problem(a, L); problem.set("linear solver", "direct"); Function u(V); problem.solve(u); File tmp_file("psi.pvd"); tmp_file << u; } //plot(w); // Write functions to file message("Writing to file"); File ufile("u.pvd"); ufile << u; File usolfile("usol.pvd"); usolfile << usol_h; File efile("e.pvd"); efile << e_h; message("Done!"); } syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/HyperElasticitySVK.ufl0000644000175000017500000000453711672223006031213 0ustar johannrjohannr# # Author: Martin Sandve Alnes # Date: 2008-12-22 -- 2009-03-16 # # Cell and its properties cell = tetrahedron d = cell.d n = cell.n x = cell.x # Elements u_element = VectorElement("CG", cell, 1) p_element = FiniteElement("CG", cell, 1) # Test and trial functions v = TestFunction(u_element) w = TrialFunction(u_element) # Displacement at current and two previous timesteps u = Function(u_element) up = Function(u_element) upp = Function(u_element) # Time parameters dt = Constant(cell) # External forces g = Function(u_element) sigma_0 = Function(p_element) # Material parameters rho = Constant(cell) lamda = Constant(cell) mu = Constant(cell) # Deformation gradient I = Identity(d) F = I + grad(u).T Finv = inv(F) J = det(F) # Right Cauchy-Green deformation tensor C = F.T*F # Green strain tensor E = (C-I)/2 E = variable(E) # Strain energy function psi(Q(Ef)), Saint Vernant-Kirchoff law psi = lamda/2 * tr(E)**2 + mu * inner(E, E) # First Piola-Kirchoff stress tensor P = F*diff(psi, E) # Acceleration term discretized with finite differences a = u - 2*up + upp # Time stepping parameter to multiply other terms with k = dt**2 / rho # Energy functional (without acceleration term and external forces) a_f = psi*dx # Residual equation # FIXME: Correct signs here? a_F = dot(a, v)*dx \ - k*dot(g, v)*dx \ + k*inner(P, grad(v))*dx \ - k*dot(J*sigma_0*Finv.T*n, v)*ds # Jacobi matrix of residual equation a_J = derivative(a_F, u, w) # Some forms for computing stress and strain from a solution def projection_system(value, degree=1): if value.rank() == 0: element = FiniteElement("CG", cell, degree) elif value.rank() == 1: element = VectorElement("CG", cell, degree) elif value.rank() == 2: element = TensorElement("CG", cell, degree) test = TestFunction(element) trial = TrialFunction(element) assert value.shape() == test.shape() assert value.shape() == trial.shape() a = inner(trial - value, test) * dx a, L = lhs(a), rhs(a) return a, L projection_a_div_u, projection_L_div_u = projection_system(div(u)) projection_a_J, projection_L_J = projection_system(J) projection_a_psi, projection_L_psi = projection_system(psi) forms = [a_f, a_F, a_J, projection_a_div_u, projection_L_div_u, projection_a_J, projection_L_J, projection_a_psi, projection_L_psi] syfi-1.0.0.dfsg.orig/sandbox/demo/HyperElasticitySVKTransient/cpp/manufactured_solution.py0000644000175000017500000000450611672223006031755 0ustar johannrjohannr import swiginac from swiginac import * def tr(A): return sum(A[i,i] for i in range(3)) def inner(A, B): return sum(A[i,j]*B[i,j] for i in range(3) for j in range(3)) def diff(f, v): if isinstance(v, matrix): assert not isinstance(f, matrix) return matrix(3, 3, [swiginac.diff(f, v[i,j]) for i in range(3) for j in range(3)]) return swiginac.diff(f, v) def subs(f, s, v): assert isinstance(s, matrix) assert isinstance(v, matrix) repmap = exmap() for i in range(3): for j in range(3): repmap[s[i,j]] = v[i,j] return f.subs(repmap) # --- Derivation of manufactured analytical solution: # Some useful symbols x = matrix(3,1, [symbol("x[%d]" % i) for i in range(3)]) lamda = symbol("lamda") mu = symbol("mu") # Picking an arbitrary divergence free solution a = symbol("a") # Problems (possibly a bad choice): #u = matrix(3, 1, [a*(sin(x[1]) - x[1]), # a*(sin(x[2]) - x[2]), # a*(sin(x[0]) - x[0])]) # OK (with a=0.01): #u = matrix(3, 1, [a*x[0], # 0.0, # 0.0]) # Testing now: u = matrix(3, 1, [a*x[0], a*x[1], a*x[2]]) div_u = sum(diff(u[i], x[i]) for i in range(3)) if not div_u.expand().evalf() == 0: print "WARNING: div(u) =", div_u # Want to compute g! # Compute value of E I = matrix(3, 3, [1,0,0, 0,1,0, 0,0,1]) DuT = matrix(3,3, [diff(u[i], x[j]) for i in range(3) for j in range(3)]) F = I + DuT FT = transpose(F) J = determinant(F) C = FT*F Evalue = (C - I) / 2 # Compute psi(E) E = symbolic_matrix(3, 3, "E") psi = lamda/2 * tr(E)**2 + mu * inner(E, E) # Second Piola-Kirchoff stress tensor S = diff(psi, E) # Substitute value of E into S S = subs(S, E, Evalue) # First Piola-Kirchoff stress tensor P = F*S # Compute g using strong form of equation # FIXME: Signs! #g = u - div P divP = matrix(3, 1, [sum(diff(P[i,j], x[i]) for i in range(3)) for j in range(3)]) g = u - divP # Print solutions def p(x): #x = swiginac.normal(x) #x = x.evalf() return x.printc() print print "u:" print " values[0] = %s;" % p(u[0]) print " values[1] = %s;" % p(u[1]) print " values[2] = %s;" % p(u[2]) print print "g:" print " values[0] = %s;" % p(g[0]) print " values[1] = %s;" % p(g[1]) print " values[2] = %s;" % p(g[2]) print syfi-1.0.0.dfsg.orig/sandbox/scripts/0000755000175000017500000000000011674103625017355 5ustar johannrjohannrsyfi-1.0.0.dfsg.orig/sandbox/scripts/revert_absolute_import.py0000644000175000017500000000400611672223006024520 0ustar johannrjohannr#!/usr/bin/env python """ Change import statements from absolute_import syntax to the old way. NB! The variable "root" must hold the name of the root package. """ from glob import glob import re import os import os.path as op import sys root = "newsfc" files = glob("*.py") for fn in files: print "========== Reading file", fn # Read contents f = open(fn) lines = list(f.readlines()) f.close() # Parse filename fullpath, filename = op.split(op.abspath(fn)) dirs = fullpath.split(op.sep) i = list(dirs).index(root) assert i >= 0 path = dirs[i:] assert path[0] == root modulename = ".".join(path) # Print filename parsing result print print "fn = ", fn print "path = ", path print "modulename = ", modulename print replace_dots = {} replace_dots["."] = ".".join(path) + "." if len(path) > 1: replace_dots[".."] = ".".join(path[:-1]) + "." if len(path) > 2: replace_dots["..."] = ".".join(path[:-2]) + "." # Define line transformation regexp1 = re.compile(r"from.*__future__.*import.*absolute_import") regexp2 = re.compile(r"(.*)from (\.+)(.*) import (.*)$") def transform(line): if regexp1.search(line): line = "" else: match = regexp2.search(line) if match: g = match.groups() prefix, dots, modulename, content = g dotsreplacement = replace_dots[dots] line = "%sfrom %s%s import %s\n" % (prefix, dotsreplacement, modulename, content) return line # Apply transformation to all lines newlines = [] updated = False for l in lines: l2 = transform(l) if l != l2: updated = True print "Changing lines:" print "FROM:", l.strip("\n") print "TO: ", l2.strip("\n") newlines.append(l2) # Write file if updated: f = open(fn, "w") f.writelines(newlines) f.close() syfi-1.0.0.dfsg.orig/sandbox/scripts/print_tabulate_tensors0000755000175000017500000000222211672223006024065 0ustar johannrjohannr#!/usr/bin/env python import re import sys filenames = sys.argv[1:] tt = re.compile("^void .*::tabulate_tensor") bb = re.compile("{") be = re.compile("}") db = re.compile("#ifdef SFCDEBUG") de = re.compile("#endif // SFCDEBUG") for fn in filenames: print "========= tabulate_tensor in '%s':" % fn lines = open(fn).readlines() in_tabulate_tensor = False skip_lines = 0 in_debug_code = False braces = 0 for line in lines: if in_tabulate_tensor: if skip_lines: skip_lines -= 1 continue if bb.search(line): braces += 1 elif be.search(line): braces -= 1 elif db.search(line): in_debug_code = True elif de.search(line): in_debug_code = False continue if not in_debug_code: print line, if braces == 0: in_tabulate_tensor = False break else: if tt.search(line): in_tabulate_tensor = True skip_lines = 2