Revision e75c84b4d4c8a26c254c972e0ad3b35075980133 authored by Thomas Fischer on 18 June 2021, 06:22:59 UTC, committed by Thomas Fischer on 18 June 2021, 15:56:34 UTC
1 parent 3908c72
TestLinearSolver.cpp
/**
* \file
* \author Norihiro Watanabe
* \author Wenqing Wang
* \date 2013-04-16, 2014-04
* \brief Implementation tests.
*
* \copyright
* Copyright (c) 2012-2021, OpenGeoSys Community (http://www.opengeosys.org)
* Distributed under a Modified BSD License.
* See accompanying file LICENSE.txt or
* http://www.opengeosys.org/project/license
*
*/
#include <gtest/gtest.h>
#include "BaseLib/ConfigTree.h"
#include "MathLib/LinAlg/ApplyKnownSolution.h"
#include "MathLib/LinAlg/Eigen/EigenLinearSolver.h"
#include "MathLib/LinAlg/Eigen/EigenMatrix.h"
#include "MathLib/LinAlg/Eigen/EigenVector.h"
#include "MathLib/LinAlg/FinalizeMatrixAssembly.h"
#include "MathLib/LinAlg/LinAlg.h"
#if defined(USE_LIS)
#include "MathLib/LinAlg/EigenLis/EigenLisLinearSolver.h"
#endif
#ifdef USE_LIS
#include "MathLib/LinAlg/Lis/LisLinearSolver.h"
#include "MathLib/LinAlg/Lis/LisVector.h"
#endif
#ifdef USE_PETSC
#include "MathLib/LinAlg/PETSc/PETScLinearSolver.h"
#include "MathLib/LinAlg/PETSc/PETScMatrix.h"
#include "MathLib/LinAlg/PETSc/PETScVector.h"
#endif
#include "Tests/TestTools.h"
namespace
{
template <class T_Mat>
void setMatrix9x9(T_Mat& mat)
{
double d_mat[] = {6.66667e-012,
-1.66667e-012,
0,
-1.66667e-012,
-3.33333e-012,
0,
0,
0,
0,
-1.66667e-012,
1.33333e-011,
-1.66667e-012,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
0,
0,
0,
0,
-1.66667e-012,
6.66667e-012,
0,
-3.33333e-012,
-1.66667e-012,
0,
0,
0,
-1.66667e-012,
-3.33333e-012,
0,
1.33333e-011,
-3.33333e-012,
0,
-1.66667e-012,
-3.33333e-012,
0,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
2.66667e-011,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
0,
-3.33333e-012,
-1.66667e-012,
0,
-3.33333e-012,
1.33333e-011,
0,
-3.33333e-012,
-1.66667e-012,
0,
0,
0,
-1.66667e-012,
-3.33333e-012,
0,
6.66667e-012,
-1.66667e-012,
0,
0,
0,
0,
-3.33333e-012,
-3.33333e-012,
-3.33333e-012,
-1.66667e-012,
1.33333e-011,
-1.66667e-012,
0,
0,
0,
0,
-3.33333e-012,
-1.66667e-012,
0,
-1.66667e-012,
6.66667e-012};
for (unsigned i = 0; i < 9; i++)
{
for (unsigned j = 0; j < 9; j++)
{
mat.setValue(i, j, d_mat[i * 9 + j]);
}
}
}
template <typename IntType>
struct Example1
{
MathLib::EigenMatrix mat;
std::vector<IntType> vec_dirichlet_bc_id;
std::vector<double> vec_dirichlet_bc_value;
static const std::size_t dim_eqs = 9;
double* exH;
Example1() : mat(dim_eqs, dim_eqs), exH(new double[dim_eqs])
{
setMatrix9x9(mat);
IntType int_dirichlet_bc_id[] = {2, 5, 8, 0, 3, 6};
vec_dirichlet_bc_id.assign(int_dirichlet_bc_id,
int_dirichlet_bc_id + 6);
vec_dirichlet_bc_value.resize(6);
std::fill(vec_dirichlet_bc_value.begin(),
vec_dirichlet_bc_value.begin() + 3, .0);
std::fill(vec_dirichlet_bc_value.begin() + 3,
vec_dirichlet_bc_value.end(), 1.0);
for (std::size_t i = 0; i < 9; i++)
{
if (i % 3 == 0)
{
exH[i] = 1.0;
}
if (i % 3 == 1)
{
exH[i] = 0.5;
}
if (i % 3 == 2)
{
exH[i] = 0.;
}
}
}
~Example1() { delete[] exH; }
};
template <class T_MATRIX, class T_VECTOR, class T_LINEAR_SOVLER,
typename IntType>
void checkLinearSolverInterface(T_MATRIX& A,
BaseLib::ConfigTree const& ls_option)
{
Example1<IntType> ex1;
// set a coefficient matrix
A.setZero();
for (std::size_t i = 0; i < ex1.dim_eqs; i++)
{
for (std::size_t j = 0; j < ex1.dim_eqs; j++)
{
double v = ex1.mat.get(i, j);
if (v != .0)
{
A.add(i, j, v);
}
}
}
// set RHS and solution vectors
T_VECTOR rhs(ex1.dim_eqs);
rhs.setZero();
T_VECTOR x(ex1.dim_eqs);
x.setZero();
// apply BC
MathLib::applyKnownSolution(A, rhs, x, ex1.vec_dirichlet_bc_id,
ex1.vec_dirichlet_bc_value);
MathLib::finalizeMatrixAssembly(A);
// solve
T_LINEAR_SOVLER ls("dummy_name", &ls_option);
ls.solve(A, rhs, x);
ASSERT_ARRAY_NEAR(ex1.exH, x, ex1.dim_eqs, 1e-5);
}
#ifdef USE_PETSC
template <class T_MATRIX, class T_VECTOR, class T_LINEAR_SOVLER>
void checkLinearSolverInterface(T_MATRIX& A, T_VECTOR& b,
const std::string& prefix_name,
BaseLib::ConfigTree const& ls_option)
{
int mrank;
MPI_Comm_rank(PETSC_COMM_WORLD, &mrank);
// Add entries
Eigen::Matrix2d loc_m;
loc_m(0, 0) = 1. + mrank;
loc_m(0, 1) = 2. + mrank;
loc_m(1, 0) = 3. + mrank;
loc_m(1, 1) = 4. + mrank;
std::vector<int> row_pos(2);
std::vector<int> col_pos(2);
row_pos[0] = 2 * mrank;
row_pos[1] = 2 * mrank + 1;
col_pos[0] = row_pos[0];
col_pos[1] = row_pos[1];
A.add(row_pos, col_pos, loc_m);
MathLib::finalizeMatrixAssembly(A);
const bool deep_copy = false;
T_VECTOR x(b, deep_copy);
std::vector<double> local_vec(2);
local_vec[0] = mrank + 1;
local_vec[1] = 2. * (mrank + 1);
x.set(row_pos, local_vec);
std::vector<double> x0(6);
x.getGlobalVector(x0);
MathLib::LinAlg::matMult(A, x, b);
// apply BC
std::vector<int> bc_id; // Type must be int to match Petsc_Int
std::vector<double> bc_value;
if (mrank == 1)
{
bc_id.resize(1);
bc_value.resize(1);
bc_id[0] = 2 * mrank;
bc_value[0] = mrank + 1;
}
MathLib::applyKnownSolution(A, b, x, bc_id, bc_value);
MathLib::finalizeMatrixAssembly(A);
// solve
T_VECTOR y(b, deep_copy);
y.setZero();
T_LINEAR_SOVLER ls(prefix_name, &ls_option);
EXPECT_TRUE(ls.solve(A, b, y));
EXPECT_GT(ls.getNumberOfIterations(), 0u);
std::vector<double> x1(6);
y.getGlobalVector(x1);
ASSERT_ARRAY_NEAR(x0, x1, 6, 1e-5);
}
#endif
} // end namespace
TEST(Math, CheckInterface_Eigen)
{
// set solver options using Boost property tree
boost::property_tree::ptree t_root;
boost::property_tree::ptree t_solver;
t_solver.put("solver_type", "CG");
t_solver.put("precon_type", "NONE");
t_solver.put("error_tolerance", 1e-15);
t_solver.put("max_iteration_step", 1000);
t_root.put_child("eigen", t_solver);
BaseLib::ConfigTree conf(t_root, "", BaseLib::ConfigTree::onerror,
BaseLib::ConfigTree::onwarning);
using IntType = MathLib::EigenMatrix::IndexType;
MathLib::EigenMatrix A(Example1<IntType>::dim_eqs);
checkLinearSolverInterface<MathLib::EigenMatrix, MathLib::EigenVector,
MathLib::EigenLinearSolver, IntType>(A, conf);
}
#if defined(USE_LIS)
TEST(Math, CheckInterface_EigenLis)
{
// set solver options using Boost property tree
boost::property_tree::ptree t_root;
t_root.put("lis", "-i cg -p none -tol 1e-15 -maxiter 1000");
BaseLib::ConfigTree conf(t_root, "", BaseLib::ConfigTree::onerror,
BaseLib::ConfigTree::onwarning);
using IntType = MathLib::EigenMatrix::IndexType;
MathLib::EigenMatrix A(Example1<IntType>::dim_eqs);
checkLinearSolverInterface<MathLib::EigenMatrix, MathLib::EigenVector,
MathLib::EigenLisLinearSolver, IntType>(A, conf);
}
#endif
#ifdef USE_PETSC
TEST(MPITest_Math, CheckInterface_PETSc_Linear_Solver_basic)
{
MathLib::PETScMatrixOption opt;
opt.d_nz = 2;
opt.o_nz = 0;
opt.is_global_size = false;
opt.n_local_cols = 2;
MathLib::PETScMatrix A(2, opt);
const bool is_global_size = false;
MathLib::PETScVector b(2, is_global_size);
const char xml[] =
"<petsc>"
" <parameters>"
" -ptest1_ksp_type bcgs "
" -ptest1_ksp_rtol 1.e-8 "
" -ptest1_ksp_atol 1.e-50 "
" -ptest1_ksp_max_it 1000 "
" -ptest1_pc_type bjacobi"
" </parameters>"
" <prefix>ptest1</prefix>"
"</petsc>";
auto const ptree = Tests::readXml(xml);
checkLinearSolverInterface<MathLib::PETScMatrix, MathLib::PETScVector,
MathLib::PETScLinearSolver>(
A, b, "",
BaseLib::ConfigTree(ptree, "", BaseLib::ConfigTree::onerror,
BaseLib::ConfigTree::onwarning));
}
TEST(MPITest_Math, CheckInterface_PETSc_Linear_Solver_chebyshev_sor)
{
MathLib::PETScMatrixOption opt;
opt.d_nz = 2;
opt.o_nz = 0;
opt.is_global_size = false;
opt.n_local_cols = 2;
MathLib::PETScMatrix A(2, opt);
const bool is_global_size = false;
MathLib::PETScVector b(2, is_global_size);
const char xml[] =
"<petsc>"
" <parameters>"
" -ptest2_ksp_type chebyshev "
" -ptest2_ksp_rtol 1.e-8 "
" -ptest2_ksp_atol 1.e-50"
" -ptest2_ksp_max_it 1000 "
" -ptest2_pc_type sor"
" </parameters>"
" <prefix>ptest2</prefix>"
"</petsc>";
auto const ptree = Tests::readXml(xml);
checkLinearSolverInterface<MathLib::PETScMatrix, MathLib::PETScVector,
MathLib::PETScLinearSolver>(
A, b, "",
BaseLib::ConfigTree(ptree, "", BaseLib::ConfigTree::onerror,
BaseLib::ConfigTree::onwarning));
}
TEST(MPITest_Math, CheckInterface_PETSc_Linear_Solver_gmres_amg)
{
MathLib::PETScMatrixOption opt;
opt.d_nz = 2;
opt.o_nz = 0;
opt.is_global_size = false;
opt.n_local_cols = 2;
MathLib::PETScMatrix A(2, opt);
const bool is_global_size = false;
MathLib::PETScVector b(2, is_global_size);
const char xml[] =
"<petsc>"
" <parameters>"
" -ptest3_ksp_type gmres "
" -ptest3_ksp_rtol 1.e-8 "
" -ptest3_ksp_gmres_restart 20 "
" -ptest3_ksp_gmres_classicalgramschmidt "
" -ptest3_pc_type gamg "
" -ptest3_pc_gamg_type agg "
" -ptest3_pc_gamg_agg_nsmooths 2"
" </parameters>"
" <prefix>ptest3</prefix>"
"</petsc>";
auto const ptree = Tests::readXml(xml);
checkLinearSolverInterface<MathLib::PETScMatrix, MathLib::PETScVector,
MathLib::PETScLinearSolver>(
A, b, "",
BaseLib::ConfigTree(ptree, "", BaseLib::ConfigTree::onerror,
BaseLib::ConfigTree::onwarning));
}
#endif
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