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authorStanislaw Halik <sthalik@misaki.pl>2019-03-03 21:09:10 +0100
committerStanislaw Halik <sthalik@misaki.pl>2019-03-03 21:10:13 +0100
commitf0238cfb6997c4acfc2bd200de7295f3fa36968f (patch)
treeb215183760e4f615b9c1dabc1f116383b72a1b55 /eigen/bench/spbench
parent543edd372a5193d04b3de9f23c176ab439e51b31 (diff)
don't index Eigen
Diffstat (limited to 'eigen/bench/spbench')
-rw-r--r--eigen/bench/spbench/CMakeLists.txt85
-rw-r--r--eigen/bench/spbench/sp_solver.cpp125
-rw-r--r--eigen/bench/spbench/spbench.dtd31
-rw-r--r--eigen/bench/spbench/spbenchsolver.cpp87
-rw-r--r--eigen/bench/spbench/spbenchsolver.h554
-rw-r--r--eigen/bench/spbench/spbenchstyle.h95
-rw-r--r--eigen/bench/spbench/test_sparseLU.cpp93
7 files changed, 0 insertions, 1070 deletions
diff --git a/eigen/bench/spbench/CMakeLists.txt b/eigen/bench/spbench/CMakeLists.txt
deleted file mode 100644
index 029ba6d..0000000
--- a/eigen/bench/spbench/CMakeLists.txt
+++ /dev/null
@@ -1,85 +0,0 @@
-
-
-set(BLAS_FOUND TRUE)
-set(LAPACK_FOUND TRUE)
-set(BLAS_LIBRARIES eigen_blas_static)
-set(LAPACK_LIBRARIES eigen_lapack_static)
-
-set(SPARSE_LIBS "")
-
-# find_library(PARDISO_LIBRARIES pardiso412-GNU450-X86-64)
-# if(PARDISO_LIBRARIES)
-# add_definitions("-DEIGEN_PARDISO_SUPPORT")
-# set(SPARSE_LIBS ${SPARSE_LIBS} ${PARDISO_LIBRARIES})
-# endif(PARDISO_LIBRARIES)
-
-find_package(Cholmod)
-if(CHOLMOD_FOUND AND BLAS_FOUND AND LAPACK_FOUND)
- add_definitions("-DEIGEN_CHOLMOD_SUPPORT")
- include_directories(${CHOLMOD_INCLUDES})
- set(SPARSE_LIBS ${SPARSE_LIBS} ${CHOLMOD_LIBRARIES} ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES})
- set(CHOLMOD_ALL_LIBS ${CHOLMOD_LIBRARIES} ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES})
-endif()
-
-find_package(Umfpack)
-if(UMFPACK_FOUND AND BLAS_FOUND)
- add_definitions("-DEIGEN_UMFPACK_SUPPORT")
- include_directories(${UMFPACK_INCLUDES})
- set(SPARSE_LIBS ${SPARSE_LIBS} ${UMFPACK_LIBRARIES} ${BLAS_LIBRARIES})
- set(UMFPACK_ALL_LIBS ${UMFPACK_LIBRARIES} ${BLAS_LIBRARIES})
-endif()
-
-find_package(SuperLU 4.0)
-if(SUPERLU_FOUND AND BLAS_FOUND)
- add_definitions("-DEIGEN_SUPERLU_SUPPORT")
- include_directories(${SUPERLU_INCLUDES})
- set(SPARSE_LIBS ${SPARSE_LIBS} ${SUPERLU_LIBRARIES} ${BLAS_LIBRARIES})
- set(SUPERLU_ALL_LIBS ${SUPERLU_LIBRARIES} ${BLAS_LIBRARIES})
-endif()
-
-
-find_package(PASTIX QUIET COMPONENTS METIS SCOTCH)
-# check that the PASTIX found is a version without MPI
-find_path(PASTIX_pastix_nompi.h_INCLUDE_DIRS
- NAMES pastix_nompi.h
- HINTS ${PASTIX_INCLUDE_DIRS}
-)
-if (NOT PASTIX_pastix_nompi.h_INCLUDE_DIRS)
- message(STATUS "A version of Pastix has been found but pastix_nompi.h does not exist in the include directory."
- " Because Eigen tests require a version without MPI, we disable the Pastix backend.")
-endif()
-if(PASTIX_FOUND AND PASTIX_pastix_nompi.h_INCLUDE_DIRS AND BLAS_FOUND)
- add_definitions("-DEIGEN_PASTIX_SUPPORT")
- include_directories(${PASTIX_INCLUDE_DIRS_DEP})
- if(SCOTCH_FOUND)
- include_directories(${SCOTCH_INCLUDE_DIRS})
- set(PASTIX_LIBRARIES ${PASTIX_LIBRARIES} ${SCOTCH_LIBRARIES})
- elseif(METIS_FOUND)
- include_directories(${METIS_INCLUDE_DIRS})
- set(PASTIX_LIBRARIES ${PASTIX_LIBRARIES} ${METIS_LIBRARIES})
- endif(SCOTCH_FOUND)
- set(SPARSE_LIBS ${SPARSE_LIBS} ${PASTIX_LIBRARIES_DEP} ${ORDERING_LIBRARIES})
- set(PASTIX_ALL_LIBS ${PASTIX_LIBRARIES_DEP})
-endif()
-
-if(METIS_FOUND)
- include_directories(${METIS_INCLUDE_DIRS})
- set (SPARSE_LIBS ${SPARSE_LIBS} ${METIS_LIBRARIES})
- add_definitions("-DEIGEN_METIS_SUPPORT")
-endif(METIS_FOUND)
-
-find_library(RT_LIBRARY rt)
-if(RT_LIBRARY)
- set(SPARSE_LIBS ${SPARSE_LIBS} ${RT_LIBRARY})
-endif(RT_LIBRARY)
-
-add_executable(spbenchsolver spbenchsolver.cpp)
-target_link_libraries (spbenchsolver ${SPARSE_LIBS})
-
-add_executable(spsolver sp_solver.cpp)
-target_link_libraries (spsolver ${SPARSE_LIBS})
-
-
-add_executable(test_sparseLU test_sparseLU.cpp)
-target_link_libraries (test_sparseLU ${SPARSE_LIBS})
-
diff --git a/eigen/bench/spbench/sp_solver.cpp b/eigen/bench/spbench/sp_solver.cpp
deleted file mode 100644
index a1f4bac..0000000
--- a/eigen/bench/spbench/sp_solver.cpp
+++ /dev/null
@@ -1,125 +0,0 @@
-// Small bench routine for Eigen available in Eigen
-// (C) Desire NUENTSA WAKAM, INRIA
-
-#include <iostream>
-#include <fstream>
-#include <iomanip>
-#include <Eigen/Jacobi>
-#include <Eigen/Householder>
-#include <Eigen/IterativeLinearSolvers>
-#include <Eigen/LU>
-#include <unsupported/Eigen/SparseExtra>
-//#include <Eigen/SparseLU>
-#include <Eigen/SuperLUSupport>
-// #include <unsupported/Eigen/src/IterativeSolvers/Scaling.h>
-#include <bench/BenchTimer.h>
-#include <unsupported/Eigen/IterativeSolvers>
-using namespace std;
-using namespace Eigen;
-
-int main(int argc, char **args)
-{
- SparseMatrix<double, ColMajor> A;
- typedef SparseMatrix<double, ColMajor>::Index Index;
- typedef Matrix<double, Dynamic, Dynamic> DenseMatrix;
- typedef Matrix<double, Dynamic, 1> DenseRhs;
- VectorXd b, x, tmp;
- BenchTimer timer,totaltime;
- //SparseLU<SparseMatrix<double, ColMajor> > solver;
-// SuperLU<SparseMatrix<double, ColMajor> > solver;
- ConjugateGradient<SparseMatrix<double, ColMajor>, Lower,IncompleteCholesky<double,Lower> > solver;
- ifstream matrix_file;
- string line;
- int n;
- // Set parameters
-// solver.iparm(IPARM_THREAD_NBR) = 4;
- /* Fill the matrix with sparse matrix stored in Matrix-Market coordinate column-oriented format */
- if (argc < 2) assert(false && "please, give the matrix market file ");
-
- timer.start();
- totaltime.start();
- loadMarket(A, args[1]);
- cout << "End charging matrix " << endl;
- bool iscomplex=false, isvector=false;
- int sym;
- getMarketHeader(args[1], sym, iscomplex, isvector);
- if (iscomplex) { cout<< " Not for complex matrices \n"; return -1; }
- if (isvector) { cout << "The provided file is not a matrix file\n"; return -1;}
- if (sym != 0) { // symmetric matrices, only the lower part is stored
- SparseMatrix<double, ColMajor> temp;
- temp = A;
- A = temp.selfadjointView<Lower>();
- }
- timer.stop();
-
- n = A.cols();
- // ====== TESTS FOR SPARSE TUTORIAL ======
-// cout<< "OuterSize " << A.outerSize() << " inner " << A.innerSize() << endl;
-// SparseMatrix<double, RowMajor> mat1(A);
-// SparseMatrix<double, RowMajor> mat2;
-// cout << " norm of A " << mat1.norm() << endl; ;
-// PermutationMatrix<Dynamic, Dynamic, int> perm(n);
-// perm.resize(n,1);
-// perm.indices().setLinSpaced(n, 0, n-1);
-// mat2 = perm * mat1;
-// mat.subrows();
-// mat2.resize(n,n);
-// mat2.reserve(10);
-// mat2.setConstant();
-// std::cout<< "NORM " << mat1.squaredNorm()<< endl;
-
- cout<< "Time to load the matrix " << timer.value() <<endl;
- /* Fill the right hand side */
-
-// solver.set_restart(374);
- if (argc > 2)
- loadMarketVector(b, args[2]);
- else
- {
- b.resize(n);
- tmp.resize(n);
-// tmp.setRandom();
- for (int i = 0; i < n; i++) tmp(i) = i;
- b = A * tmp ;
- }
-// Scaling<SparseMatrix<double> > scal;
-// scal.computeRef(A);
-// b = scal.LeftScaling().cwiseProduct(b);
-
- /* Compute the factorization */
- cout<< "Starting the factorization "<< endl;
- timer.reset();
- timer.start();
- cout<< "Size of Input Matrix "<< b.size()<<"\n\n";
- cout<< "Rows and columns "<< A.rows() <<" " <<A.cols() <<"\n";
- solver.compute(A);
-// solver.analyzePattern(A);
-// solver.factorize(A);
- if (solver.info() != Success) {
- std::cout<< "The solver failed \n";
- return -1;
- }
- timer.stop();
- float time_comp = timer.value();
- cout <<" Compute Time " << time_comp<< endl;
-
- timer.reset();
- timer.start();
- x = solver.solve(b);
-// x = scal.RightScaling().cwiseProduct(x);
- timer.stop();
- float time_solve = timer.value();
- cout<< " Time to solve " << time_solve << endl;
-
- /* Check the accuracy */
- VectorXd tmp2 = b - A*x;
- double tempNorm = tmp2.norm()/b.norm();
- cout << "Relative norm of the computed solution : " << tempNorm <<"\n";
-// cout << "Iterations : " << solver.iterations() << "\n";
-
- totaltime.stop();
- cout << "Total time " << totaltime.value() << "\n";
-// std::cout<<x.transpose()<<"\n";
-
- return 0;
-} \ No newline at end of file
diff --git a/eigen/bench/spbench/spbench.dtd b/eigen/bench/spbench/spbench.dtd
deleted file mode 100644
index 0fb51b8..0000000
--- a/eigen/bench/spbench/spbench.dtd
+++ /dev/null
@@ -1,31 +0,0 @@
-<!ELEMENT BENCH (AVAILSOLVER+,LINEARSYSTEM+)>
- <!ELEMENT AVAILSOLVER (SOLVER+)>
- <!ELEMENT SOLVER (TYPE,PACKAGE)>
- <!ELEMENT TYPE (#PCDATA)> <!-- One of LU, LLT, LDLT, ITER -->
- <!ELEMENT PACKAGE (#PCDATA)> <!-- Derived from a library -->
- <!ELEMENT LINEARSYSTEM (MATRIX,SOLVER_STAT+,BEST_SOLVER,GLOBAL_PARAMS*)>
- <!ELEMENT MATRIX (NAME,SIZE,ENTRIES,PATTERN?,SYMMETRY,POSDEF?,ARITHMETIC,RHS*)>
- <!ELEMENT NAME (#PCDATA)>
- <!ELEMENT SIZE (#PCDATA)>
- <!ELEMENT ENTRIES (#PCDATA)> <!-- The number of nonzeros elements -->
- <!ELEMENT PATTERN (#PCDATA)> <!-- Is structural pattern symmetric or not -->
- <!ELEMENT SYMMETRY (#PCDATA)> <!-- symmmetry with numerical values -->
- <!ELEMENT POSDEF (#PCDATA)> <!-- Is the matrix positive definite or not -->
- <!ELEMENT ARITHMETIC (#PCDATA)>
- <!ELEMENT RHS (SOURCE)> <!-- A matrix can have one or more right hand side associated. -->
- <!ELEMENT SOURCE (#PCDATA)> <!-- Source of the right hand side, either generated or provided -->
- <!ELEMENT SOLVER_STAT (PARAMS*,TIME,ERROR,ITER?)>
- <!ELEMENT PARAMS (#PCDATA)>
- <!ELEMENT TIME (COMPUTE,SOLVE,TOTAL)>
- <!ELEMENT COMPUTE (#PCDATA)> <!-- Time to analyze,to factorize, or to setup the preconditioner-->
- <!ELEMENT SOLVE (#PCDATA)> <!-- Time to solve with all the available rhs -->
- <!ELEMENT TOTAL (#PCDATA)>
- <!ELEMENT ERROR (#PCDATA)> <!-- Either the relative error or the relative residual norm -->
- <!ELEMENT ITER (#PCDATA)> <!-- Number of iterations -->
- <!ELEMENT BEST_SOLVER CDATA> <!-- Id of the best solver -->
- <!ELEMENT GLOBAL_PARAMS (#PCDATA)> <!-- Parameters shared by all solvers -->
-
-<!ATTLIST SOLVER ID CDATA #REQUIRED>
-<!ATTLIST SOLVER_STAT ID CDATA #REQUIRED>
-<!ATTLIST BEST_SOLVER ID CDATA #REQUIRED>
-<!ATTLIST RHS ID CDATA #IMPLIED> \ No newline at end of file
diff --git a/eigen/bench/spbench/spbenchsolver.cpp b/eigen/bench/spbench/spbenchsolver.cpp
deleted file mode 100644
index 4acd003..0000000
--- a/eigen/bench/spbench/spbenchsolver.cpp
+++ /dev/null
@@ -1,87 +0,0 @@
-#include <bench/spbench/spbenchsolver.h>
-
-void bench_printhelp()
-{
- cout<< " \nbenchsolver : performs a benchmark of all the solvers available in Eigen \n\n";
- cout<< " MATRIX FOLDER : \n";
- cout<< " The matrices for the benchmark should be collected in a folder specified with an environment variable EIGEN_MATRIXDIR \n";
- cout<< " The matrices are stored using the matrix market coordinate format \n";
- cout<< " The matrix and associated right-hand side (rhs) files are named respectively \n";
- cout<< " as MatrixName.mtx and MatrixName_b.mtx. If the rhs does not exist, a random one is generated. \n";
- cout<< " If a matrix is SPD, the matrix should be named as MatrixName_SPD.mtx \n";
- cout<< " If a true solution exists, it should be named as MatrixName_x.mtx; \n" ;
- cout<< " it will be used to compute the norm of the error relative to the computed solutions\n\n";
- cout<< " OPTIONS : \n";
- cout<< " -h or --help \n print this help and return\n\n";
- cout<< " -d matrixdir \n Use matrixdir as the matrix folder instead of the one specified in the environment variable EIGEN_MATRIXDIR\n\n";
- cout<< " -o outputfile.xml \n Output the statistics to a xml file \n\n";
- cout<< " --eps <RelErr> Sets the relative tolerance for iterative solvers (default 1e-08) \n\n";
- cout<< " --maxits <MaxIts> Sets the maximum number of iterations (default 1000) \n\n";
-
-}
-int main(int argc, char ** args)
-{
-
- bool help = ( get_options(argc, args, "-h") || get_options(argc, args, "--help") );
- if(help) {
- bench_printhelp();
- return 0;
- }
-
- // Get the location of the test matrices
- string matrix_dir;
- if (!get_options(argc, args, "-d", &matrix_dir))
- {
- if(getenv("EIGEN_MATRIXDIR") == NULL){
- std::cerr << "Please, specify the location of the matrices with -d mat_folder or the environment variable EIGEN_MATRIXDIR \n";
- std::cerr << " Run with --help to see the list of all the available options \n";
- return -1;
- }
- matrix_dir = getenv("EIGEN_MATRIXDIR");
- }
-
- std::ofstream statbuf;
- string statFile ;
-
- // Get the file to write the statistics
- bool statFileExists = get_options(argc, args, "-o", &statFile);
- if(statFileExists)
- {
- statbuf.open(statFile.c_str(), std::ios::out);
- if(statbuf.good()){
- statFileExists = true;
- printStatheader(statbuf);
- statbuf.close();
- }
- else
- std::cerr << "Unable to open the provided file for writting... \n";
- }
-
- // Get the maximum number of iterations and the tolerance
- int maxiters = 1000;
- double tol = 1e-08;
- string inval;
- if (get_options(argc, args, "--eps", &inval))
- tol = atof(inval.c_str());
- if(get_options(argc, args, "--maxits", &inval))
- maxiters = atoi(inval.c_str());
-
- string current_dir;
- // Test the real-arithmetics matrices
- Browse_Matrices<double>(matrix_dir, statFileExists, statFile,maxiters, tol);
-
- // Test the complex-arithmetics matrices
- Browse_Matrices<std::complex<double> >(matrix_dir, statFileExists, statFile, maxiters, tol);
-
- if(statFileExists)
- {
- statbuf.open(statFile.c_str(), std::ios::app);
- statbuf << "</BENCH> \n";
- cout << "\n Output written in " << statFile << " ...\n";
- statbuf.close();
- }
-
- return 0;
-}
-
-
diff --git a/eigen/bench/spbench/spbenchsolver.h b/eigen/bench/spbench/spbenchsolver.h
deleted file mode 100644
index 19c719c..0000000
--- a/eigen/bench/spbench/spbenchsolver.h
+++ /dev/null
@@ -1,554 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-
-#include <iostream>
-#include <fstream>
-#include <Eigen/SparseCore>
-#include <bench/BenchTimer.h>
-#include <cstdlib>
-#include <string>
-#include <Eigen/Cholesky>
-#include <Eigen/Jacobi>
-#include <Eigen/Householder>
-#include <Eigen/IterativeLinearSolvers>
-#include <unsupported/Eigen/IterativeSolvers>
-#include <Eigen/LU>
-#include <unsupported/Eigen/SparseExtra>
-#include <Eigen/SparseLU>
-
-#include "spbenchstyle.h"
-
-#ifdef EIGEN_METIS_SUPPORT
-#include <Eigen/MetisSupport>
-#endif
-
-#ifdef EIGEN_CHOLMOD_SUPPORT
-#include <Eigen/CholmodSupport>
-#endif
-
-#ifdef EIGEN_UMFPACK_SUPPORT
-#include <Eigen/UmfPackSupport>
-#endif
-
-#ifdef EIGEN_PARDISO_SUPPORT
-#include <Eigen/PardisoSupport>
-#endif
-
-#ifdef EIGEN_SUPERLU_SUPPORT
-#include <Eigen/SuperLUSupport>
-#endif
-
-#ifdef EIGEN_PASTIX_SUPPORT
-#include <Eigen/PaStiXSupport>
-#endif
-
-// CONSTANTS
-#define EIGEN_UMFPACK 10
-#define EIGEN_SUPERLU 20
-#define EIGEN_PASTIX 30
-#define EIGEN_PARDISO 40
-#define EIGEN_SPARSELU_COLAMD 50
-#define EIGEN_SPARSELU_METIS 51
-#define EIGEN_BICGSTAB 60
-#define EIGEN_BICGSTAB_ILUT 61
-#define EIGEN_GMRES 70
-#define EIGEN_GMRES_ILUT 71
-#define EIGEN_SIMPLICIAL_LDLT 80
-#define EIGEN_CHOLMOD_LDLT 90
-#define EIGEN_PASTIX_LDLT 100
-#define EIGEN_PARDISO_LDLT 110
-#define EIGEN_SIMPLICIAL_LLT 120
-#define EIGEN_CHOLMOD_SUPERNODAL_LLT 130
-#define EIGEN_CHOLMOD_SIMPLICIAL_LLT 140
-#define EIGEN_PASTIX_LLT 150
-#define EIGEN_PARDISO_LLT 160
-#define EIGEN_CG 170
-#define EIGEN_CG_PRECOND 180
-
-using namespace Eigen;
-using namespace std;
-
-
-// Global variables for input parameters
-int MaximumIters; // Maximum number of iterations
-double RelErr; // Relative error of the computed solution
-double best_time_val; // Current best time overall solvers
-int best_time_id; // id of the best solver for the current system
-
-template<typename T> inline typename NumTraits<T>::Real test_precision() { return NumTraits<T>::dummy_precision(); }
-template<> inline float test_precision<float>() { return 1e-3f; }
-template<> inline double test_precision<double>() { return 1e-6; }
-template<> inline float test_precision<std::complex<float> >() { return test_precision<float>(); }
-template<> inline double test_precision<std::complex<double> >() { return test_precision<double>(); }
-
-void printStatheader(std::ofstream& out)
-{
- // Print XML header
- // NOTE It would have been much easier to write these XML documents using external libraries like tinyXML or Xerces-C++.
-
- out << "<?xml version='1.0' encoding='UTF-8'?> \n";
- out << "<?xml-stylesheet type='text/xsl' href='#stylesheet' ?> \n";
- out << "<!DOCTYPE BENCH [\n<!ATTLIST xsl:stylesheet\n id\t ID #REQUIRED>\n]>";
- out << "\n\n<!-- Generated by the Eigen library -->\n";
-
- out << "\n<BENCH> \n" ; //root XML element
- // Print the xsl style section
- printBenchStyle(out);
- // List all available solvers
- out << " <AVAILSOLVER> \n";
-#ifdef EIGEN_UMFPACK_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_UMFPACK << "'>\n";
- out << " <TYPE> LU </TYPE> \n";
- out << " <PACKAGE> UMFPACK </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
-#ifdef EIGEN_SUPERLU_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_SUPERLU << "'>\n";
- out << " <TYPE> LU </TYPE> \n";
- out << " <PACKAGE> SUPERLU </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
-#ifdef EIGEN_CHOLMOD_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_CHOLMOD_SIMPLICIAL_LLT << "'>\n";
- out << " <TYPE> LLT SP</TYPE> \n";
- out << " <PACKAGE> CHOLMOD </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_CHOLMOD_SUPERNODAL_LLT << "'>\n";
- out << " <TYPE> LLT</TYPE> \n";
- out << " <PACKAGE> CHOLMOD </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_CHOLMOD_LDLT << "'>\n";
- out << " <TYPE> LDLT </TYPE> \n";
- out << " <PACKAGE> CHOLMOD </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
-#ifdef EIGEN_PARDISO_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_PARDISO << "'>\n";
- out << " <TYPE> LU </TYPE> \n";
- out << " <PACKAGE> PARDISO </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_PARDISO_LLT << "'>\n";
- out << " <TYPE> LLT </TYPE> \n";
- out << " <PACKAGE> PARDISO </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_PARDISO_LDLT << "'>\n";
- out << " <TYPE> LDLT </TYPE> \n";
- out << " <PACKAGE> PARDISO </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
-#ifdef EIGEN_PASTIX_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_PASTIX << "'>\n";
- out << " <TYPE> LU </TYPE> \n";
- out << " <PACKAGE> PASTIX </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_PASTIX_LLT << "'>\n";
- out << " <TYPE> LLT </TYPE> \n";
- out << " <PACKAGE> PASTIX </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_PASTIX_LDLT << "'>\n";
- out << " <TYPE> LDLT </TYPE> \n";
- out << " <PACKAGE> PASTIX </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
-
- out <<" <SOLVER ID='" << EIGEN_BICGSTAB << "'>\n";
- out << " <TYPE> BICGSTAB </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_BICGSTAB_ILUT << "'>\n";
- out << " <TYPE> BICGSTAB_ILUT </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_GMRES_ILUT << "'>\n";
- out << " <TYPE> GMRES_ILUT </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_SIMPLICIAL_LDLT << "'>\n";
- out << " <TYPE> LDLT </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_SIMPLICIAL_LLT << "'>\n";
- out << " <TYPE> LLT </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_CG << "'>\n";
- out << " <TYPE> CG </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
- out <<" <SOLVER ID='" << EIGEN_SPARSELU_COLAMD << "'>\n";
- out << " <TYPE> LU_COLAMD </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-
-#ifdef EIGEN_METIS_SUPPORT
- out <<" <SOLVER ID='" << EIGEN_SPARSELU_METIS << "'>\n";
- out << " <TYPE> LU_METIS </TYPE> \n";
- out << " <PACKAGE> EIGEN </PACKAGE> \n";
- out << " </SOLVER> \n";
-#endif
- out << " </AVAILSOLVER> \n";
-
-}
-
-
-template<typename Solver, typename Scalar>
-void call_solver(Solver &solver, const int solver_id, const typename Solver::MatrixType& A, const Matrix<Scalar, Dynamic, 1>& b, const Matrix<Scalar, Dynamic, 1>& refX,std::ofstream& statbuf)
-{
-
- double total_time;
- double compute_time;
- double solve_time;
- double rel_error;
- Matrix<Scalar, Dynamic, 1> x;
- BenchTimer timer;
- timer.reset();
- timer.start();
- solver.compute(A);
- if (solver.info() != Success)
- {
- std::cerr << "Solver failed ... \n";
- return;
- }
- timer.stop();
- compute_time = timer.value();
- statbuf << " <TIME>\n";
- statbuf << " <COMPUTE> " << timer.value() << "</COMPUTE>\n";
- std::cout<< "COMPUTE TIME : " << timer.value() <<std::endl;
-
- timer.reset();
- timer.start();
- x = solver.solve(b);
- if (solver.info() == NumericalIssue)
- {
- std::cerr << "Solver failed ... \n";
- return;
- }
- timer.stop();
- solve_time = timer.value();
- statbuf << " <SOLVE> " << timer.value() << "</SOLVE>\n";
- std::cout<< "SOLVE TIME : " << timer.value() <<std::endl;
-
- total_time = solve_time + compute_time;
- statbuf << " <TOTAL> " << total_time << "</TOTAL>\n";
- std::cout<< "TOTAL TIME : " << total_time <<std::endl;
- statbuf << " </TIME>\n";
-
- // Verify the relative error
- if(refX.size() != 0)
- rel_error = (refX - x).norm()/refX.norm();
- else
- {
- // Compute the relative residual norm
- Matrix<Scalar, Dynamic, 1> temp;
- temp = A * x;
- rel_error = (b-temp).norm()/b.norm();
- }
- statbuf << " <ERROR> " << rel_error << "</ERROR>\n";
- std::cout<< "REL. ERROR : " << rel_error << "\n\n" ;
- if ( rel_error <= RelErr )
- {
- // check the best time if convergence
- if(!best_time_val || (best_time_val > total_time))
- {
- best_time_val = total_time;
- best_time_id = solver_id;
- }
- }
-}
-
-template<typename Solver, typename Scalar>
-void call_directsolver(Solver& solver, const int solver_id, const typename Solver::MatrixType& A, const Matrix<Scalar, Dynamic, 1>& b, const Matrix<Scalar, Dynamic, 1>& refX, std::string& statFile)
-{
- std::ofstream statbuf(statFile.c_str(), std::ios::app);
- statbuf << " <SOLVER_STAT ID='" << solver_id <<"'>\n";
- call_solver(solver, solver_id, A, b, refX,statbuf);
- statbuf << " </SOLVER_STAT>\n";
- statbuf.close();
-}
-
-template<typename Solver, typename Scalar>
-void call_itersolver(Solver &solver, const int solver_id, const typename Solver::MatrixType& A, const Matrix<Scalar, Dynamic, 1>& b, const Matrix<Scalar, Dynamic, 1>& refX, std::string& statFile)
-{
- solver.setTolerance(RelErr);
- solver.setMaxIterations(MaximumIters);
-
- std::ofstream statbuf(statFile.c_str(), std::ios::app);
- statbuf << " <SOLVER_STAT ID='" << solver_id <<"'>\n";
- call_solver(solver, solver_id, A, b, refX,statbuf);
- statbuf << " <ITER> "<< solver.iterations() << "</ITER>\n";
- statbuf << " </SOLVER_STAT>\n";
- std::cout << "ITERATIONS : " << solver.iterations() <<"\n\n\n";
-
-}
-
-
-template <typename Scalar>
-void SelectSolvers(const SparseMatrix<Scalar>&A, unsigned int sym, Matrix<Scalar, Dynamic, 1>& b, const Matrix<Scalar, Dynamic, 1>& refX, std::string& statFile)
-{
- typedef SparseMatrix<Scalar, ColMajor> SpMat;
- // First, deal with Nonsymmetric and symmetric matrices
- best_time_id = 0;
- best_time_val = 0.0;
- //UMFPACK
- #ifdef EIGEN_UMFPACK_SUPPORT
- {
- cout << "Solving with UMFPACK LU ... \n";
- UmfPackLU<SpMat> solver;
- call_directsolver(solver, EIGEN_UMFPACK, A, b, refX,statFile);
- }
- #endif
- //SuperLU
- #ifdef EIGEN_SUPERLU_SUPPORT
- {
- cout << "\nSolving with SUPERLU ... \n";
- SuperLU<SpMat> solver;
- call_directsolver(solver, EIGEN_SUPERLU, A, b, refX,statFile);
- }
- #endif
-
- // PaStix LU
- #ifdef EIGEN_PASTIX_SUPPORT
- {
- cout << "\nSolving with PASTIX LU ... \n";
- PastixLU<SpMat> solver;
- call_directsolver(solver, EIGEN_PASTIX, A, b, refX,statFile) ;
- }
- #endif
-
- //PARDISO LU
- #ifdef EIGEN_PARDISO_SUPPORT
- {
- cout << "\nSolving with PARDISO LU ... \n";
- PardisoLU<SpMat> solver;
- call_directsolver(solver, EIGEN_PARDISO, A, b, refX,statFile);
- }
- #endif
-
- // Eigen SparseLU METIS
- cout << "\n Solving with Sparse LU AND COLAMD ... \n";
- SparseLU<SpMat, COLAMDOrdering<int> > solver;
- call_directsolver(solver, EIGEN_SPARSELU_COLAMD, A, b, refX, statFile);
- // Eigen SparseLU METIS
- #ifdef EIGEN_METIS_SUPPORT
- {
- cout << "\n Solving with Sparse LU AND METIS ... \n";
- SparseLU<SpMat, MetisOrdering<int> > solver;
- call_directsolver(solver, EIGEN_SPARSELU_METIS, A, b, refX, statFile);
- }
- #endif
-
- //BiCGSTAB
- {
- cout << "\nSolving with BiCGSTAB ... \n";
- BiCGSTAB<SpMat> solver;
- call_itersolver(solver, EIGEN_BICGSTAB, A, b, refX,statFile);
- }
- //BiCGSTAB+ILUT
- {
- cout << "\nSolving with BiCGSTAB and ILUT ... \n";
- BiCGSTAB<SpMat, IncompleteLUT<Scalar> > solver;
- call_itersolver(solver, EIGEN_BICGSTAB_ILUT, A, b, refX,statFile);
- }
-
-
- //GMRES
-// {
-// cout << "\nSolving with GMRES ... \n";
-// GMRES<SpMat> solver;
-// call_itersolver(solver, EIGEN_GMRES, A, b, refX,statFile);
-// }
- //GMRES+ILUT
- {
- cout << "\nSolving with GMRES and ILUT ... \n";
- GMRES<SpMat, IncompleteLUT<Scalar> > solver;
- call_itersolver(solver, EIGEN_GMRES_ILUT, A, b, refX,statFile);
- }
-
- // Hermitian and not necessarily positive-definites
- if (sym != NonSymmetric)
- {
- // Internal Cholesky
- {
- cout << "\nSolving with Simplicial LDLT ... \n";
- SimplicialLDLT<SpMat, Lower> solver;
- call_directsolver(solver, EIGEN_SIMPLICIAL_LDLT, A, b, refX,statFile);
- }
-
- // CHOLMOD
- #ifdef EIGEN_CHOLMOD_SUPPORT
- {
- cout << "\nSolving with CHOLMOD LDLT ... \n";
- CholmodDecomposition<SpMat, Lower> solver;
- solver.setMode(CholmodLDLt);
- call_directsolver(solver,EIGEN_CHOLMOD_LDLT, A, b, refX,statFile);
- }
- #endif
-
- //PASTIX LLT
- #ifdef EIGEN_PASTIX_SUPPORT
- {
- cout << "\nSolving with PASTIX LDLT ... \n";
- PastixLDLT<SpMat, Lower> solver;
- call_directsolver(solver,EIGEN_PASTIX_LDLT, A, b, refX,statFile);
- }
- #endif
-
- //PARDISO LLT
- #ifdef EIGEN_PARDISO_SUPPORT
- {
- cout << "\nSolving with PARDISO LDLT ... \n";
- PardisoLDLT<SpMat, Lower> solver;
- call_directsolver(solver,EIGEN_PARDISO_LDLT, A, b, refX,statFile);
- }
- #endif
- }
-
- // Now, symmetric POSITIVE DEFINITE matrices
- if (sym == SPD)
- {
-
- //Internal Sparse Cholesky
- {
- cout << "\nSolving with SIMPLICIAL LLT ... \n";
- SimplicialLLT<SpMat, Lower> solver;
- call_directsolver(solver,EIGEN_SIMPLICIAL_LLT, A, b, refX,statFile);
- }
-
- // CHOLMOD
- #ifdef EIGEN_CHOLMOD_SUPPORT
- {
- // CholMOD SuperNodal LLT
- cout << "\nSolving with CHOLMOD LLT (Supernodal)... \n";
- CholmodDecomposition<SpMat, Lower> solver;
- solver.setMode(CholmodSupernodalLLt);
- call_directsolver(solver,EIGEN_CHOLMOD_SUPERNODAL_LLT, A, b, refX,statFile);
- // CholMod Simplicial LLT
- cout << "\nSolving with CHOLMOD LLT (Simplicial) ... \n";
- solver.setMode(CholmodSimplicialLLt);
- call_directsolver(solver,EIGEN_CHOLMOD_SIMPLICIAL_LLT, A, b, refX,statFile);
- }
- #endif
-
- //PASTIX LLT
- #ifdef EIGEN_PASTIX_SUPPORT
- {
- cout << "\nSolving with PASTIX LLT ... \n";
- PastixLLT<SpMat, Lower> solver;
- call_directsolver(solver,EIGEN_PASTIX_LLT, A, b, refX,statFile);
- }
- #endif
-
- //PARDISO LLT
- #ifdef EIGEN_PARDISO_SUPPORT
- {
- cout << "\nSolving with PARDISO LLT ... \n";
- PardisoLLT<SpMat, Lower> solver;
- call_directsolver(solver,EIGEN_PARDISO_LLT, A, b, refX,statFile);
- }
- #endif
-
- // Internal CG
- {
- cout << "\nSolving with CG ... \n";
- ConjugateGradient<SpMat, Lower> solver;
- call_itersolver(solver,EIGEN_CG, A, b, refX,statFile);
- }
- //CG+IdentityPreconditioner
-// {
-// cout << "\nSolving with CG and IdentityPreconditioner ... \n";
-// ConjugateGradient<SpMat, Lower, IdentityPreconditioner> solver;
-// call_itersolver(solver,EIGEN_CG_PRECOND, A, b, refX,statFile);
-// }
- } // End SPD matrices
-}
-
-/* Browse all the matrices available in the specified folder
- * and solve the associated linear system.
- * The results of each solve are printed in the standard output
- * and optionally in the provided html file
- */
-template <typename Scalar>
-void Browse_Matrices(const string folder, bool statFileExists, std::string& statFile, int maxiters, double tol)
-{
- MaximumIters = maxiters; // Maximum number of iterations, global variable
- RelErr = tol; //Relative residual error as stopping criterion for iterative solvers
- MatrixMarketIterator<Scalar> it(folder);
- for ( ; it; ++it)
- {
- //print the infos for this linear system
- if(statFileExists)
- {
- std::ofstream statbuf(statFile.c_str(), std::ios::app);
- statbuf << "<LINEARSYSTEM> \n";
- statbuf << " <MATRIX> \n";
- statbuf << " <NAME> " << it.matname() << " </NAME>\n";
- statbuf << " <SIZE> " << it.matrix().rows() << " </SIZE>\n";
- statbuf << " <ENTRIES> " << it.matrix().nonZeros() << "</ENTRIES>\n";
- if (it.sym()!=NonSymmetric)
- {
- statbuf << " <SYMMETRY> Symmetric </SYMMETRY>\n" ;
- if (it.sym() == SPD)
- statbuf << " <POSDEF> YES </POSDEF>\n";
- else
- statbuf << " <POSDEF> NO </POSDEF>\n";
-
- }
- else
- {
- statbuf << " <SYMMETRY> NonSymmetric </SYMMETRY>\n" ;
- statbuf << " <POSDEF> NO </POSDEF>\n";
- }
- statbuf << " </MATRIX> \n";
- statbuf.close();
- }
-
- cout<< "\n\n===================================================== \n";
- cout<< " ====== SOLVING WITH MATRIX " << it.matname() << " ====\n";
- cout<< " =================================================== \n\n";
- Matrix<Scalar, Dynamic, 1> refX;
- if(it.hasrefX()) refX = it.refX();
- // Call all suitable solvers for this linear system
- SelectSolvers<Scalar>(it.matrix(), it.sym(), it.rhs(), refX, statFile);
-
- if(statFileExists)
- {
- std::ofstream statbuf(statFile.c_str(), std::ios::app);
- statbuf << " <BEST_SOLVER ID='"<< best_time_id
- << "'></BEST_SOLVER>\n";
- statbuf << " </LINEARSYSTEM> \n";
- statbuf.close();
- }
- }
-}
-
-bool get_options(int argc, char **args, string option, string* value=0)
-{
- int idx = 1, found=false;
- while (idx<argc && !found){
- if (option.compare(args[idx]) == 0){
- found = true;
- if(value) *value = args[idx+1];
- }
- idx+=2;
- }
- return found;
-}
diff --git a/eigen/bench/spbench/spbenchstyle.h b/eigen/bench/spbench/spbenchstyle.h
deleted file mode 100644
index f6a9817..0000000
--- a/eigen/bench/spbench/spbenchstyle.h
+++ /dev/null
@@ -1,95 +0,0 @@
-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr>
-//
-// This Source Code Form is subject to the terms of the Mozilla
-// Public License v. 2.0. If a copy of the MPL was not distributed
-// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
-#ifndef SPBENCHSTYLE_H
-#define SPBENCHSTYLE_H
-
-void printBenchStyle(std::ofstream& out)
-{
- out << "<xsl:stylesheet id='stylesheet' version='1.0' \
- xmlns:xsl='http://www.w3.org/1999/XSL/Transform' >\n \
- <xsl:template match='xsl:stylesheet' />\n \
- <xsl:template match='/'> <!-- Root of the document -->\n \
- <html>\n \
- <head> \n \
- <style type='text/css'> \n \
- td { white-space: nowrap;}\n \
- </style>\n \
- </head>\n \
- <body>";
- out<<"<table border='1' width='100%' height='100%'>\n \
- <TR> <!-- Write the table header -->\n \
- <TH>Matrix</TH> <TH>N</TH> <TH> NNZ</TH> <TH> Sym</TH> <TH> SPD</TH> <TH> </TH>\n \
- <xsl:for-each select='BENCH/AVAILSOLVER/SOLVER'>\n \
- <xsl:sort select='@ID' data-type='number'/>\n \
- <TH>\n \
- <xsl:value-of select='TYPE' />\n \
- <xsl:text></xsl:text>\n \
- <xsl:value-of select='PACKAGE' />\n \
- <xsl:text></xsl:text>\n \
- </TH>\n \
- </xsl:for-each>\n \
- </TR>";
-
- out<<" <xsl:for-each select='BENCH/LINEARSYSTEM'>\n \
- <TR> <!-- print statistics for one linear system-->\n \
- <TH rowspan='4'> <xsl:value-of select='MATRIX/NAME' /> </TH>\n \
- <TD rowspan='4'> <xsl:value-of select='MATRIX/SIZE' /> </TD>\n \
- <TD rowspan='4'> <xsl:value-of select='MATRIX/ENTRIES' /> </TD>\n \
- <TD rowspan='4'> <xsl:value-of select='MATRIX/SYMMETRY' /> </TD>\n \
- <TD rowspan='4'> <xsl:value-of select='MATRIX/POSDEF' /> </TD>\n \
- <TH> Compute Time </TH>\n \
- <xsl:for-each select='SOLVER_STAT'>\n \
- <xsl:sort select='@ID' data-type='number'/>\n \
- <TD> <xsl:value-of select='TIME/COMPUTE' /> </TD>\n \
- </xsl:for-each>\n \
- </TR>";
- out<<" <TR>\n \
- <TH> Solve Time </TH>\n \
- <xsl:for-each select='SOLVER_STAT'>\n \
- <xsl:sort select='@ID' data-type='number'/>\n \
- <TD> <xsl:value-of select='TIME/SOLVE' /> </TD>\n \
- </xsl:for-each>\n \
- </TR>\n \
- <TR>\n \
- <TH> Total Time </TH>\n \
- <xsl:for-each select='SOLVER_STAT'>\n \
- <xsl:sort select='@ID' data-type='number'/>\n \
- <xsl:choose>\n \
- <xsl:when test='@ID=../BEST_SOLVER/@ID'>\n \
- <TD style='background-color:red'> <xsl:value-of select='TIME/TOTAL' /> </TD>\n \
- </xsl:when>\n \
- <xsl:otherwise>\n \
- <TD> <xsl:value-of select='TIME/TOTAL' /></TD>\n \
- </xsl:otherwise>\n \
- </xsl:choose>\n \
- </xsl:for-each>\n \
- </TR>";
- out<<" <TR>\n \
- <TH> Error </TH>\n \
- <xsl:for-each select='SOLVER_STAT'>\n \
- <xsl:sort select='@ID' data-type='number'/>\n \
- <TD> <xsl:value-of select='ERROR' />\n \
- <xsl:if test='ITER'>\n \
- <xsl:text>(</xsl:text>\n \
- <xsl:value-of select='ITER' />\n \
- <xsl:text>)</xsl:text>\n \
- </xsl:if> </TD>\n \
- </xsl:for-each>\n \
- </TR>\n \
- </xsl:for-each>\n \
- </table>\n \
- </body>\n \
- </html>\n \
- </xsl:template>\n \
- </xsl:stylesheet>\n\n";
-
-}
-
-#endif
diff --git a/eigen/bench/spbench/test_sparseLU.cpp b/eigen/bench/spbench/test_sparseLU.cpp
deleted file mode 100644
index f8ecbe6..0000000
--- a/eigen/bench/spbench/test_sparseLU.cpp
+++ /dev/null
@@ -1,93 +0,0 @@
-// Small bench routine for Eigen available in Eigen
-// (C) Desire NUENTSA WAKAM, INRIA
-
-#include <iostream>
-#include <fstream>
-#include <iomanip>
-#include <unsupported/Eigen/SparseExtra>
-#include <Eigen/SparseLU>
-#include <bench/BenchTimer.h>
-#ifdef EIGEN_METIS_SUPPORT
-#include <Eigen/MetisSupport>
-#endif
-
-using namespace std;
-using namespace Eigen;
-
-int main(int argc, char **args)
-{
-// typedef complex<double> scalar;
- typedef double scalar;
- SparseMatrix<scalar, ColMajor> A;
- typedef SparseMatrix<scalar, ColMajor>::Index Index;
- typedef Matrix<scalar, Dynamic, Dynamic> DenseMatrix;
- typedef Matrix<scalar, Dynamic, 1> DenseRhs;
- Matrix<scalar, Dynamic, 1> b, x, tmp;
-// SparseLU<SparseMatrix<scalar, ColMajor>, AMDOrdering<int> > solver;
-// #ifdef EIGEN_METIS_SUPPORT
-// SparseLU<SparseMatrix<scalar, ColMajor>, MetisOrdering<int> > solver;
-// std::cout<< "ORDERING : METIS\n";
-// #else
- SparseLU<SparseMatrix<scalar, ColMajor>, COLAMDOrdering<int> > solver;
- std::cout<< "ORDERING : COLAMD\n";
-// #endif
-
- ifstream matrix_file;
- string line;
- int n;
- BenchTimer timer;
-
- // Set parameters
- /* Fill the matrix with sparse matrix stored in Matrix-Market coordinate column-oriented format */
- if (argc < 2) assert(false && "please, give the matrix market file ");
- loadMarket(A, args[1]);
- cout << "End charging matrix " << endl;
- bool iscomplex=false, isvector=false;
- int sym;
- getMarketHeader(args[1], sym, iscomplex, isvector);
-// if (iscomplex) { cout<< " Not for complex matrices \n"; return -1; }
- if (isvector) { cout << "The provided file is not a matrix file\n"; return -1;}
- if (sym != 0) { // symmetric matrices, only the lower part is stored
- SparseMatrix<scalar, ColMajor> temp;
- temp = A;
- A = temp.selfadjointView<Lower>();
- }
- n = A.cols();
- /* Fill the right hand side */
-
- if (argc > 2)
- loadMarketVector(b, args[2]);
- else
- {
- b.resize(n);
- tmp.resize(n);
-// tmp.setRandom();
- for (int i = 0; i < n; i++) tmp(i) = i;
- b = A * tmp ;
- }
-
- /* Compute the factorization */
-// solver.isSymmetric(true);
- timer.start();
-// solver.compute(A);
- solver.analyzePattern(A);
- timer.stop();
- cout << "Time to analyze " << timer.value() << std::endl;
- timer.reset();
- timer.start();
- solver.factorize(A);
- timer.stop();
- cout << "Factorize Time " << timer.value() << std::endl;
- timer.reset();
- timer.start();
- x = solver.solve(b);
- timer.stop();
- cout << "solve time " << timer.value() << std::endl;
- /* Check the accuracy */
- Matrix<scalar, Dynamic, 1> tmp2 = b - A*x;
- scalar tempNorm = tmp2.norm()/b.norm();
- cout << "Relative norm of the computed solution : " << tempNorm <<"\n";
- cout << "Number of nonzeros in the factor : " << solver.nnzL() + solver.nnzU() << std::endl;
-
- return 0;
-} \ No newline at end of file