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authorGravatar Gael Guennebaud <g.gael@free.fr>2010-06-18 11:36:30 +0200
committerGravatar Gael Guennebaud <g.gael@free.fr>2010-06-18 11:36:30 +0200
commit729960e4656ab9f61e523a3908edf5474b04638d (patch)
treead70bb203a1d35f487f36a9babb722aa74b30834
parentece48a645051a9984a78a3197027c9c861a0c702 (diff)
add missing files
-rw-r--r--unsupported/Eigen/src/SparseExtra/CMakeLists.txt6
-rw-r--r--unsupported/test/sparse_extra.cpp153
-rw-r--r--unsupported/test/sparse_ldlt.cpp68
-rw-r--r--unsupported/test/sparse_llt.cpp91
-rw-r--r--unsupported/test/sparse_lu.cpp115
5 files changed, 433 insertions, 0 deletions
diff --git a/unsupported/Eigen/src/SparseExtra/CMakeLists.txt b/unsupported/Eigen/src/SparseExtra/CMakeLists.txt
new file mode 100644
index 000000000..7ea32ca5e
--- /dev/null
+++ b/unsupported/Eigen/src/SparseExtra/CMakeLists.txt
@@ -0,0 +1,6 @@
+FILE(GLOB Eigen_SparseExtra_SRCS "*.h")
+
+INSTALL(FILES
+ ${Eigen_SparseExtra_SRCS}
+ DESTINATION ${INCLUDE_INSTALL_DIR}/unsupported/Eigen/src/SparseExtra COMPONENT Devel
+ )
diff --git a/unsupported/test/sparse_extra.cpp b/unsupported/test/sparse_extra.cpp
new file mode 100644
index 000000000..fa6dc50f5
--- /dev/null
+++ b/unsupported/test/sparse_extra.cpp
@@ -0,0 +1,153 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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.
+//
+// Eigen 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "sparse.h"
+#include <Eigen/SparseExtra>
+
+template<typename SetterType,typename DenseType, typename Scalar, int Options>
+bool test_random_setter(SparseMatrix<Scalar,Options>& sm, const DenseType& ref, const std::vector<Vector2i>& nonzeroCoords)
+{
+ typedef SparseMatrix<Scalar,Options> SparseType;
+ {
+ sm.setZero();
+ SetterType w(sm);
+ std::vector<Vector2i> remaining = nonzeroCoords;
+ while(!remaining.empty())
+ {
+ int i = ei_random<int>(0,static_cast<int>(remaining.size())-1);
+ w(remaining[i].x(),remaining[i].y()) = ref.coeff(remaining[i].x(),remaining[i].y());
+ remaining[i] = remaining.back();
+ remaining.pop_back();
+ }
+ }
+ return sm.isApprox(ref);
+}
+
+template<typename SetterType,typename DenseType, typename T>
+bool test_random_setter(DynamicSparseMatrix<T>& sm, const DenseType& ref, const std::vector<Vector2i>& nonzeroCoords)
+{
+ sm.setZero();
+ std::vector<Vector2i> remaining = nonzeroCoords;
+ while(!remaining.empty())
+ {
+ int i = ei_random<int>(0,static_cast<int>(remaining.size())-1);
+ sm.coeffRef(remaining[i].x(),remaining[i].y()) = ref.coeff(remaining[i].x(),remaining[i].y());
+ remaining[i] = remaining.back();
+ remaining.pop_back();
+ }
+ return sm.isApprox(ref);
+}
+
+template<typename SparseMatrixType> void sparse_extra(const SparseMatrixType& ref)
+{
+ const int rows = ref.rows();
+ const int cols = ref.cols();
+ typedef typename SparseMatrixType::Scalar Scalar;
+ enum { Flags = SparseMatrixType::Flags };
+
+ double density = std::max(8./(rows*cols), 0.01);
+ typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
+ typedef Matrix<Scalar,Dynamic,1> DenseVector;
+ Scalar eps = 1e-6;
+
+ SparseMatrixType m(rows, cols);
+ DenseMatrix refMat = DenseMatrix::Zero(rows, cols);
+ DenseVector vec1 = DenseVector::Random(rows);
+
+ std::vector<Vector2i> zeroCoords;
+ std::vector<Vector2i> nonzeroCoords;
+ initSparse<Scalar>(density, refMat, m, 0, &zeroCoords, &nonzeroCoords);
+
+ if (zeroCoords.size()==0 || nonzeroCoords.size()==0)
+ return;
+
+ // test coeff and coeffRef
+ for (int i=0; i<(int)zeroCoords.size(); ++i)
+ {
+ VERIFY_IS_MUCH_SMALLER_THAN( m.coeff(zeroCoords[i].x(),zeroCoords[i].y()), eps );
+ if(ei_is_same_type<SparseMatrixType,SparseMatrix<Scalar,Flags> >::ret)
+ VERIFY_RAISES_ASSERT( m.coeffRef(zeroCoords[0].x(),zeroCoords[0].y()) = 5 );
+ }
+ VERIFY_IS_APPROX(m, refMat);
+
+ m.coeffRef(nonzeroCoords[0].x(), nonzeroCoords[0].y()) = Scalar(5);
+ refMat.coeffRef(nonzeroCoords[0].x(), nonzeroCoords[0].y()) = Scalar(5);
+
+ VERIFY_IS_APPROX(m, refMat);
+
+ // random setter
+// {
+// m.setZero();
+// VERIFY_IS_NOT_APPROX(m, refMat);
+// SparseSetter<SparseMatrixType, RandomAccessPattern> w(m);
+// std::vector<Vector2i> remaining = nonzeroCoords;
+// while(!remaining.empty())
+// {
+// int i = ei_random<int>(0,remaining.size()-1);
+// w->coeffRef(remaining[i].x(),remaining[i].y()) = refMat.coeff(remaining[i].x(),remaining[i].y());
+// remaining[i] = remaining.back();
+// remaining.pop_back();
+// }
+// }
+// VERIFY_IS_APPROX(m, refMat);
+
+ VERIFY(( test_random_setter<RandomSetter<SparseMatrixType, StdMapTraits> >(m,refMat,nonzeroCoords) ));
+ #ifdef EIGEN_UNORDERED_MAP_SUPPORT
+ VERIFY(( test_random_setter<RandomSetter<SparseMatrixType, StdUnorderedMapTraits> >(m,refMat,nonzeroCoords) ));
+ #endif
+ #ifdef _DENSE_HASH_MAP_H_
+ VERIFY(( test_random_setter<RandomSetter<SparseMatrixType, GoogleDenseHashMapTraits> >(m,refMat,nonzeroCoords) ));
+ #endif
+ #ifdef _SPARSE_HASH_MAP_H_
+ VERIFY(( test_random_setter<RandomSetter<SparseMatrixType, GoogleSparseHashMapTraits> >(m,refMat,nonzeroCoords) ));
+ #endif
+
+
+ // test RandomSetter
+ /*{
+ SparseMatrixType m1(rows,cols), m2(rows,cols);
+ DenseMatrix refM1 = DenseMatrix::Zero(rows, rows);
+ initSparse<Scalar>(density, refM1, m1);
+ {
+ Eigen::RandomSetter<SparseMatrixType > setter(m2);
+ for (int j=0; j<m1.outerSize(); ++j)
+ for (typename SparseMatrixType::InnerIterator i(m1,j); i; ++i)
+ setter(i.index(), j) = i.value();
+ }
+ VERIFY_IS_APPROX(m1, m2);
+ }*/
+
+
+}
+
+void test_sparse_extra()
+{
+ for(int i = 0; i < g_repeat; i++) {
+ CALL_SUBTEST_1( sparse_extra(SparseMatrix<double>(8, 8)) );
+ CALL_SUBTEST_2( sparse_extra(SparseMatrix<std::complex<double> >(16, 16)) );
+ CALL_SUBTEST_1( sparse_extra(SparseMatrix<double>(33, 33)) );
+
+ CALL_SUBTEST_3( sparse_extra(DynamicSparseMatrix<double>(8, 8)) );
+ }
+}
diff --git a/unsupported/test/sparse_ldlt.cpp b/unsupported/test/sparse_ldlt.cpp
new file mode 100644
index 000000000..8671807c9
--- /dev/null
+++ b/unsupported/test/sparse_ldlt.cpp
@@ -0,0 +1,68 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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.
+//
+// Eigen 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "sparse.h"
+
+#ifdef EIGEN_TAUCS_SUPPORT
+#include <Eigen/TaucsSupport>
+#endif
+
+template<typename Scalar> void sparse_ldlt(int rows, int cols)
+{
+ double density = std::max(8./(rows*cols), 0.01);
+ typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
+ typedef Matrix<Scalar,Dynamic,1> DenseVector;
+
+ SparseMatrix<Scalar> m2(rows, cols);
+ DenseMatrix refMat2(rows, cols);
+
+ DenseVector b = DenseVector::Random(cols);
+ DenseVector refX(cols), x(cols);
+
+ initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeUpperTriangular, 0, 0);
+ for(int i=0; i<rows; ++i)
+ m2.coeffRef(i,i) = refMat2(i,i) = ei_abs(ei_real(refMat2(i,i)));
+
+ refX = refMat2.template selfadjointView<Upper>().ldlt().solve(b);
+ typedef SparseMatrix<Scalar,Upper|SelfAdjoint> SparseSelfAdjointMatrix;
+ x = b;
+ SparseLDLT<SparseSelfAdjointMatrix> ldlt(m2);
+ if (ldlt.succeeded())
+ ldlt.solveInPlace(x);
+ else
+ std::cerr << "warning LDLT failed\n";
+
+ VERIFY_IS_APPROX(refMat2.template selfadjointView<Upper>() * x, b);
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LDLT: default");
+}
+
+void test_sparse_ldlt()
+{
+ for(int i = 0; i < g_repeat; i++) {
+ CALL_SUBTEST_1(sparse_ldlt<double>(8, 8) );
+ int s = ei_random<int>(1,300);
+ CALL_SUBTEST_2(sparse_ldlt<std::complex<double> >(s,s) );
+ CALL_SUBTEST_1(sparse_ldlt<double>(s,s) );
+ }
+}
diff --git a/unsupported/test/sparse_llt.cpp b/unsupported/test/sparse_llt.cpp
new file mode 100644
index 000000000..97360f1ec
--- /dev/null
+++ b/unsupported/test/sparse_llt.cpp
@@ -0,0 +1,91 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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.
+//
+// Eigen 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "sparse.h"
+
+#ifdef EIGEN_CHOLMOD_SUPPORT
+#include <Eigen/CholmodSupport>
+#endif
+
+#ifdef EIGEN_TAUCS_SUPPORT
+#include <Eigen/TaucsSupport>
+#endif
+
+template<typename Scalar> void sparse_llt(int rows, int cols)
+{
+ double density = std::max(8./(rows*cols), 0.01);
+ typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
+ typedef Matrix<Scalar,Dynamic,1> DenseVector;
+
+ // TODO fix the issue with complex (see SparseLLT::solveInPlace)
+ SparseMatrix<Scalar> m2(rows, cols);
+ DenseMatrix refMat2(rows, cols);
+
+ DenseVector b = DenseVector::Random(cols);
+ DenseVector refX(cols), x(cols);
+
+ initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeLowerTriangular, 0, 0);
+ for(int i=0; i<rows; ++i)
+ m2.coeffRef(i,i) = refMat2(i,i) = ei_abs(ei_real(refMat2(i,i)));
+
+ refX = refMat2.template selfadjointView<Lower>().llt().solve(b);
+ if (!NumTraits<Scalar>::IsComplex)
+ {
+ x = b;
+ SparseLLT<SparseMatrix<Scalar> > (m2).solveInPlace(x);
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: default");
+ }
+ #ifdef EIGEN_CHOLMOD_SUPPORT
+ x = b;
+ SparseLLT<SparseMatrix<Scalar> ,Cholmod>(m2).solveInPlace(x);
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: cholmod");
+ #endif
+
+ #ifdef EIGEN_TAUCS_SUPPORT
+ // TODO fix TAUCS with complexes
+ if (!NumTraits<Scalar>::IsComplex)
+ {
+ x = b;
+// SparseLLT<SparseMatrix<Scalar> ,Taucs>(m2,IncompleteFactorization).solveInPlace(x);
+// VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: taucs (IncompleteFactorization)");
+
+ x = b;
+ SparseLLT<SparseMatrix<Scalar> ,Taucs>(m2,SupernodalMultifrontal).solveInPlace(x);
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: taucs (SupernodalMultifrontal)");
+ x = b;
+ SparseLLT<SparseMatrix<Scalar> ,Taucs>(m2,SupernodalLeftLooking).solveInPlace(x);
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: taucs (SupernodalLeftLooking)");
+ }
+ #endif
+}
+
+void test_sparse_llt()
+{
+ for(int i = 0; i < g_repeat; i++) {
+ CALL_SUBTEST_1(sparse_llt<double>(8, 8) );
+ int s = ei_random<int>(1,300);
+ CALL_SUBTEST_2(sparse_llt<std::complex<double> >(s,s) );
+ CALL_SUBTEST_1(sparse_llt<double>(s,s) );
+ }
+}
diff --git a/unsupported/test/sparse_lu.cpp b/unsupported/test/sparse_lu.cpp
new file mode 100644
index 000000000..bdf79ca23
--- /dev/null
+++ b/unsupported/test/sparse_lu.cpp
@@ -0,0 +1,115 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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.
+//
+// Eigen 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "sparse.h"
+
+#ifdef EIGEN_UMFPACK_SUPPORT
+#include <Eigen/UmfPackSupport>
+#endif
+
+#ifdef EIGEN_SUPERLU_SUPPORT
+#include <Eigen/SuperLUSupport>
+#endif
+
+template<typename Scalar> void sparse_lu(int rows, int cols)
+{
+ double density = std::max(8./(rows*cols), 0.01);
+ typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix;
+ typedef Matrix<Scalar,Dynamic,1> DenseVector;
+
+ DenseVector vec1 = DenseVector::Random(rows);
+
+ std::vector<Vector2i> zeroCoords;
+ std::vector<Vector2i> nonzeroCoords;
+
+ static int count = 0;
+ SparseMatrix<Scalar> m2(rows, cols);
+ DenseMatrix refMat2(rows, cols);
+
+ DenseVector b = DenseVector::Random(cols);
+ DenseVector refX(cols), x(cols);
+
+ initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag, &zeroCoords, &nonzeroCoords);
+
+ FullPivLU<DenseMatrix> refLu(refMat2);
+ refX = refLu.solve(b);
+ #if defined(EIGEN_SUPERLU_SUPPORT) || defined(EIGEN_UMFPACK_SUPPORT)
+ Scalar refDet = refLu.determinant();
+ #endif
+ x.setZero();
+ // // SparseLU<SparseMatrix<Scalar> > (m2).solve(b,&x);
+ // // VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LU: default");
+ #ifdef EIGEN_SUPERLU_SUPPORT
+ {
+ x.setZero();
+ SparseLU<SparseMatrix<Scalar>,SuperLU> slu(m2);
+ if (slu.succeeded())
+ {
+ if (slu.solve(b,&x)) {
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LU: SuperLU");
+ }
+ // std::cerr << refDet << " == " << slu.determinant() << "\n";
+ if (slu.solve(b, &x, SvTranspose)) {
+ VERIFY(b.isApprox(m2.transpose() * x, test_precision<Scalar>()));
+ }
+
+ if (slu.solve(b, &x, SvAdjoint)) {
+ VERIFY(b.isApprox(m2.adjoint() * x, test_precision<Scalar>()));
+ }
+
+ if (count==0) {
+ VERIFY_IS_APPROX(refDet,slu.determinant()); // FIXME det is not very stable for complex
+ }
+ }
+ }
+ #endif
+ #ifdef EIGEN_UMFPACK_SUPPORT
+ {
+ // check solve
+ x.setZero();
+ SparseLU<SparseMatrix<Scalar>,UmfPack> slu(m2);
+ if (slu.succeeded()) {
+ if (slu.solve(b,&x)) {
+ if (count==0) {
+ VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LU: umfpack"); // FIXME solve is not very stable for complex
+ }
+ }
+ VERIFY_IS_APPROX(refDet,slu.determinant());
+ // TODO check the extracted data
+ //std::cerr << slu.matrixL() << "\n";
+ }
+ }
+ #endif
+ count++;
+}
+
+void test_sparse_lu()
+{
+ for(int i = 0; i < g_repeat; i++) {
+ CALL_SUBTEST_1(sparse_lu<double>(8, 8) );
+ int s = ei_random<int>(1,300);
+ CALL_SUBTEST_2(sparse_lu<std::complex<double> >(s,s) );
+ CALL_SUBTEST_1(sparse_lu<double>(s,s) );
+ }
+}