From 21a6cfd44380c2fa4baef399bd2b24d642bacadc Mon Sep 17 00:00:00 2001 From: kanschat Date: Wed, 22 Sep 2010 21:47:32 +0000 Subject: [PATCH] test LSingularityGradFunction and add missing stuff git-svn-id: https://svn.dealii.org/trunk@22125 0785d39b-7218-0410-832d-ea1e28bc413d --- tests/base/functions.h | 97 ++++ tests/base/functions_singularity.cc | 322 +++++++++++++ tests/base/functions_singularity/cmp/generic | 10 + tests/base/polynomials_bdm_01.cc | 3 +- tests/base/polynomials_bdm_01/cmp/generic | 2 - tests/base/polynomials_rt/cmp/generic | 482 +++++++++++++++++++ 6 files changed, 913 insertions(+), 3 deletions(-) create mode 100644 tests/base/functions.h create mode 100644 tests/base/functions_singularity.cc create mode 100644 tests/base/functions_singularity/cmp/generic diff --git a/tests/base/functions.h b/tests/base/functions.h new file mode 100644 index 0000000000..97555eb530 --- /dev/null +++ b/tests/base/functions.h @@ -0,0 +1,97 @@ +//----------------------------------------------------------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2007, 2008, 2010 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//----------------------------------------------------------------------------- + +// Generic routines to check consistency of function classes + + +// Check, whether the various implementations of function values are +// consistent. Arguments include the function, the amount of +// quadrature points in each direction, and the threshold above which +// we consider values unequal + +template +void +check_function_value_consistency( + const Function& f, + unsigned int sub, + double threshold = 1.e-15) +{ + QMidpoint<1> mid; + QIterated quadrature(mid, sub); + + std::vector f1(quadrature.size()); + std::vector > f2(quadrature.size(), Vector(f.n_components)); + + f.vector_value_list(quadrature.get_points(), f2); + + deallog << "value vs vector value list"; + for (unsigned int d=0;d threshold) + deallog << "v-vl " << d << ':' << i << ':' << v-f2[i](d); + } + deallog << std::endl << "value list vs vector value list"; + for (unsigned int d=0;d threshold) + deallog << ' ' << d << ':' << i << ':' << f1[i]-f2[i](d); + } + } + deallog << std::endl; +} + +// Same for gradients +template +void +check_function_gradient_consistency( + const Function& f, + unsigned int sub, + double threshold = 1.e-15) +{ + QMidpoint<1> mid; + QIterated quadrature(mid, sub); + + std::vector > f1(quadrature.size()); + std::vector > > f2(quadrature.size(), + std::vector >(f.n_components)); + + f.vector_gradient_list(quadrature.get_points(), f2); + + deallog << "gradient vs vector gradient list"; + for (unsigned int d=0;d v = f.gradient(quadrature.point(i), d)-f2[i][d]; + + if (std::sqrt(v*v) > threshold) + deallog << "v-vl " << d << ':' << i << ':' << v; + } + deallog << std::endl << "gradient list vs vector gradient list"; + for (unsigned int d=0;d v = f1[i]-f2[i][d]; + if (std::sqrt(v*v) > threshold) + deallog << ' ' << d << ':' << i << ':' << v; + } + } + deallog << std::endl; +} + diff --git a/tests/base/functions_singularity.cc b/tests/base/functions_singularity.cc new file mode 100644 index 0000000000..247acf170f --- /dev/null +++ b/tests/base/functions_singularity.cc @@ -0,0 +1,322 @@ +//----------------------------------------------------------------------------- +// $Id$ +// Version: $Name$ +// +// Copyright (C) 2007, 2008, 2010 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//----------------------------------------------------------------------------- + +// Check Singularity functions and SingularityGrad functions for + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include + +#include "functions.h" + +#include +#include +#include +#include + + +/** + * A class replacing the implemented derivatives of a function with + * difference quotients. This way, the correctness of the + * implementation can be tested. + */ +template +class DerivativeTestFunction : + public AutoDerivativeFunction +{ + public: + DerivativeTestFunction(const Function&, const double h); + ~DerivativeTestFunction(); + + virtual void vector_value (const Point& points, Vector& value) const; + virtual double value (const Point& points, const unsigned int component) const; + virtual void vector_value_list (const std::vector< Point< dim > > &points, + std::vector< Vector< double > > &values) const; + + private: + const Function& func; +}; + + + +template +void +check_function_consistency( + const Function& f, + const Function& gradf, + unsigned int sub) +{ + QMidpoint<1> mid; + QIterated quadrature(mid, sub); + + std::vector > fg1(quadrature.size()); + std::vector > > fg2(quadrature.size(), std::vector >(1)); + + std::vector g1(quadrature.size()); + std::vector > g2(quadrature.size(), Vector(dim)); + + // Derivative values are in fg1, + // fg2, g1, and g2 + f.gradient_list(quadrature.get_points(), fg1, 0); + f.vector_gradient_list(quadrature.get_points(), fg2); + gradf.vector_value_list(quadrature.get_points(), g2); + deallog << "Gradient consistency "; + + for (unsigned int d=0;d 1.e-14) + deallog << ' ' << i << ':' << g1[i]-g2[i](d); + if (std::fabs(g1[i]-fg2[i][0][d]) > 1.e-14) + deallog << ' ' << i << ';' << g1[i]-fg2[i][0][d]; + if (std::fabs(g1[i]-fg1[i][d]) > 1.e-14) + deallog << ' ' << i << '#' << g1[i]-fg1[i][d]; + } + } + deallog << std::endl; +} + + +template +void +check_function_derivative(const Functions::FlowFunction& f, + unsigned int sub, + std::ostream& out) +{ + DerivativeTestFunction dtest1(f, 1.e-2); + DerivativeTestFunction dtest2(f, 2.e-2); + // Prepare a vector with a single + // patch stretching over the cube + // [-1,1]^dim + std::vector > patches(1); + unsigned int vertex_number = 0; + for (unsigned int iz=0;iz < ((dim>2) ? 2 : 1) ;++iz) + for (unsigned int iy=0;iy < ((dim>1) ? 2 : 1) ;++iy) + for (unsigned int ix=0;ix < 2 ;++ix) + { + if (dim>0) patches[0].vertices[vertex_number](0) = -1. + 2.*ix; + if (dim>1) patches[0].vertices[vertex_number](1) = -1. + 2.*iy; + if (dim>2) patches[0].vertices[vertex_number](2) = -1. + 2.*iz; + ++vertex_number; + } + for (unsigned int i=0;i::faces_per_cell;++i) + patches[0].neighbors[i] = numbers::invalid_unsigned_int; + patches[0].patch_index = 0; + patches[0].n_subdivisions = sub; + patches[0].points_are_available = false; + + vertex_number = 1; + for (unsigned int d=0;d > points(vertex_number); + const double h = 2./sub; + vertex_number = 0; + for (unsigned int iz=0;iz <= ((dim>2) ? sub : 0) ;++iz) + for (unsigned int iy=0;iy <= ((dim>1) ? sub : 0) ;++iy) + for (unsigned int ix=0;ix <= sub ;++ix) + { + if (dim>0) points[vertex_number](0) = -1.+ix*h; + if (dim>1) points[vertex_number](1) = -1.+iy*h; + if (dim>2) points[vertex_number](2) = -1.+iz*h; + ++vertex_number; + } + + std::vector > values(points.size(), Vector(f.n_components)); + std::vector > values2(f.n_components, + std::vector(points.size())); + f.vector_value_list(points, values); + f.vector_values(points, values2); + for (unsigned int i=0;i 1e-10) + patches[0].data(j, i) = values[i](j); + else + patches[0].data(j, i) = 0; + if (values[i](j) != values2[j][i]) + deallog << "Error values (" << i << ',' << j << ") : " + << values[i](j) << " != " << values2[j][i] << std::endl; + } + + deallog << "Gradients "; + // Compute gradients and difference approximations + std::vector > > + gradients(f.n_components, std::vector >(points.size())); + std::vector > > + gradients1(points.size(), std::vector >(f.n_components)); + std::vector > > + gradients2(points.size(), std::vector >(f.n_components)); + + f.vector_gradients(points, gradients); + dtest1.vector_gradient_list(points, gradients1); + dtest2.vector_gradient_list(points, gradients2); + + // Compare gradients and difference quotients + for (unsigned int k=0;k d1 = gradients1[i][k] - gradients[k][i]; + Tensor<1,dim> d2 = gradients2[i][k] - gradients[k][i]; + + // If the difference is + // already small, we are fine + if (d1.norm() > 1.e-13) + { + // Check for + // convergence. For full + // 4th order, gradients2 + // should be 16 times as + // large, so let's be a + // bit generous + if (d2.norm() < 12.* d1.norm()) + { + deallog << "Gradient error: point " << i + << " (" << points[i] << " )" + << " comp " << k +// << " norms " << d1.norm() << " " << d2.norm() + << std::endl; + for (unsigned int d=0;d 1.e-13) + deallog << "Divergence " << k << " " + << div << std::endl; + } + deallog << "tested" << std::endl; + + f.vector_laplacian_list(points, values); + f.vector_laplacians(points, values2); + double sum = 0.; + for (unsigned int i=0;i names(f.n_components); + for (unsigned int i=0;i > vectors; + if (dim==2) + dout.write_gnuplot(patches, names, vectors, gflags, out); + else + dout.write_dx(patches, names, vectors, dxflags, out); +} + + +int main() +{ + std::string logname = JobIdentifier::base_name(__FILE__) + std::string("/output"); + std::ofstream logfile(logname.c_str()); + deallog.attach(logfile); + deallog.depth_console(0); + + Functions::LSingularityFunction fl; + Functions::LSingularityGradFunction flg; + // Use odd number of points to + // avoid lines with + // discontinuous derivatives. + deallog << "Functions::LSingularityFunction" << std::endl; + check_function_value_consistency(fl, 5); + check_function_gradient_consistency(fl, 5); + deallog << "Functions::LSingularityGradFunction" << std::endl; + check_function_value_consistency(flg, 5); + check_function_consistency(fl, flg, 5); +} + + +template +DerivativeTestFunction::DerivativeTestFunction(const Function& f, + const double h) + : + AutoDerivativeFunction(h, f.n_components), + func(f) +{ + this->set_formula(AutoDerivativeFunction::FourthOrder); +} + + +template +DerivativeTestFunction::~DerivativeTestFunction() +{} + + +template +void +DerivativeTestFunction::vector_value_list ( + const std::vector< Point< dim > > &points, + std::vector< Vector< double > > &values) const +{ + func.vector_value_list(points, values); +} + + +template +void DerivativeTestFunction::vector_value ( + const Point& point, + Vector& value) const +{ + func.vector_value(point, value); +} + + +template +double DerivativeTestFunction::value ( + const Point& point, + const unsigned int comp) const +{ +// std::cerr << '[' << point << '!' << func.value(point, comp) << ']'; + + return func.value(point, comp); +} diff --git a/tests/base/functions_singularity/cmp/generic b/tests/base/functions_singularity/cmp/generic new file mode 100644 index 0000000000..478d21072a --- /dev/null +++ b/tests/base/functions_singularity/cmp/generic @@ -0,0 +1,10 @@ + +DEAL::Functions::LSingularityFunction +DEAL::value vs vector value list +DEAL::value list vs vector value list +DEAL::gradient vs vector gradient list +DEAL::gradient list vs vector gradient list +DEAL::Functions::LSingularityGradFunction +DEAL::value vs vector value list +DEAL::value list vs vector value list +DEAL::Gradient consistency diff --git a/tests/base/polynomials_bdm_01.cc b/tests/base/polynomials_bdm_01.cc index b8a631a9eb..8e2473f24a 100644 --- a/tests/base/polynomials_bdm_01.cc +++ b/tests/base/polynomials_bdm_01.cc @@ -54,7 +54,8 @@ void plot(const PolynomialsBDM& poly) int main() { - std::ofstream logfile(JobIdentifier::base_name(__FILE__).c_str()); + const std::string logname = JobIdentifier::base_name(__FILE__) + std::string("/output"); + std::ofstream logfile(logname.c_str()); deallog << std::setprecision(3); deallog.attach(logfile); deallog.depth_console(0); diff --git a/tests/base/polynomials_bdm_01/cmp/generic b/tests/base/polynomials_bdm_01/cmp/generic index 172b5dc977..92a84f1008 100644 --- a/tests/base/polynomials_bdm_01/cmp/generic +++ b/tests/base/polynomials_bdm_01/cmp/generic @@ -1,6 +1,4 @@ -DEAL::Name: polynomials_bdm_01.cc 18 polynomials_bdm_01 18446744073709551615 polynomials_bdm_01 -DEAL::File:polynomials_bdm_01 DEAL::BDM1<2> DEAL::BDM1<2> 0.00 0.00 1.00 0 0 1.00 0 0 0 0 DEAL::BDM1<2> 0.250 0.00 1.00 0 0 1.00 0.250 0 -0.250 0 diff --git a/tests/base/polynomials_rt/cmp/generic b/tests/base/polynomials_rt/cmp/generic index f5cc9d737b..237e0d70b3 100644 --- a/tests/base/polynomials_rt/cmp/generic +++ b/tests/base/polynomials_rt/cmp/generic @@ -91,3 +91,485 @@ DEAL::RT2<2> 0.400 1.00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0480 0 0.864 0 0.216 DEAL::RT2<2> 0.600 1.00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.0320 0 0.216 0 0.864 0 -0.0480 0 0 0 0 0 0 0 0 -0.0800 0 0 0 0 0 0 0 0.960 0 0 0 0 0 0 0 0.120 DEAL::RT2<2> 0.800 1.00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0560 0 -0.288 0 1.01 0 0.224 0 0 0 0 0 0 0 0 -0.120 0 0 0 0 0 0 0 0.640 0 0 0 0 0 0 0 0.480 DEAL::RT2<2> 1.00 1.00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.00 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.00 0.00 1.00 0 0 0 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.333 0.00 0.00 0.667 0 0 0.333 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.667 0.00 0.00 0.333 0 0 0.667 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 1.00 0.00 0.00 0 0 0 1.00 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.333 0.00 1.00 0 0 0 0 0 0 0.667 0 0 0.333 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.333 0.333 0.00 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.667 0.333 0.00 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 1.00 0.333 0.00 0 0 0 1.00 0 0 0 0.667 0 0 0.333 0 0 0 1.00 0 0 0 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.667 0.00 1.00 0 0 0 0 0 0 0.333 0 0 0.667 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.333 0.667 0.00 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.667 0.667 0.00 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 1.00 0.667 0.00 0 0 0 1.00 0 0 0 0.333 0 0 0.667 0 0 0 1.00 0 0 0 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 1.00 0.00 1.00 0 0 0 0 0 0 0 0 0 1.00 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.333 1.00 0.00 0.667 0 0 0.333 0 0 0 0 0 0 1.00 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 0.667 1.00 0.00 0.333 0 0 0.667 0 0 0 0 0 0 1.00 0 0 0 1.00 0 0 0 +DEAL::RT0<3> 1.00 1.00 0.00 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 1.00 0 0 0 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.00 0.333 1.00 0 0 0 0 0 0 1.00 0 0 0 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.333 0.00 0.333 0.667 0 0 0.333 0 0 0 1.00 0 0 0 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.667 0.00 0.333 0.333 0 0 0.667 0 0 0 1.00 0 0 0 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 1.00 0.00 0.333 0 0 0 1.00 0 0 0 1.00 0 0 0 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.333 0.333 1.00 0 0 0 0 0 0 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.333 0.333 0.333 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.667 0.333 0.333 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 1.00 0.333 0.333 0 0 0 1.00 0 0 0 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.667 0.333 1.00 0 0 0 0 0 0 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.333 0.667 0.333 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.667 0.667 0.333 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 1.00 0.667 0.333 0 0 0 1.00 0 0 0 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 1.00 0.333 1.00 0 0 0 0 0 0 0 0 0 1.00 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.333 1.00 0.333 0.667 0 0 0.333 0 0 0 0 0 0 1.00 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 0.667 1.00 0.333 0.333 0 0 0.667 0 0 0 0 0 0 1.00 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> 1.00 1.00 0.333 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 0.667 0 0 0.333 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.00 0.667 1.00 0 0 0 0 0 0 1.00 0 0 0 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.333 0.00 0.667 0.667 0 0 0.333 0 0 0 1.00 0 0 0 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.667 0.00 0.667 0.333 0 0 0.667 0 0 0 1.00 0 0 0 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 1.00 0.00 0.667 0 0 0 1.00 0 0 0 1.00 0 0 0 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.333 0.667 1.00 0 0 0 0 0 0 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.333 0.333 0.667 0.667 0 0 0.333 0 0 0 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.667 0.333 0.667 0.333 0 0 0.667 0 0 0 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 1.00 0.333 0.667 0 0 0 1.00 0 0 0 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.667 0.667 1.00 0 0 0 0 0 0 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.333 0.667 0.667 0.667 0 0 0.333 0 0 0 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.667 0.667 0.667 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 1.00 0.667 0.667 0 0 0 1.00 0 0 0 0.333 0 0 0.667 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 1.00 0.667 1.00 0 0 0 0 0 0 0 0 0 1.00 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.333 1.00 0.667 0.667 0 0 0.333 0 0 0 0 0 0 1.00 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 0.667 1.00 0.667 0.333 0 0 0.667 0 0 0 0 0 0 1.00 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> 1.00 1.00 0.667 0 0 0 1.00 0 0 0 0 0 0 1.00 0 0 0 0.333 0 0 0.667 +DEAL::RT0<3> +DEAL::RT0<3> 0.00 0.00 1.00 1.00 0 0 0 0 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