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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include <cstdlib>
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#include <string>
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#include "sparse.h"
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#ifdef min
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#undef min
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#endif
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#ifdef max
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#undef max
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#endif
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#include <Eigen/SparseExtra>
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// Read from an environment variable TEST_TMPDIR, if available,
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// and append the provided filename. Defaults to local directory.
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std::string GetTestTempFilename(const char* filename) {
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const char* test_tmpdir = std::getenv("TEST_TMPDIR");
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if (test_tmpdir == nullptr) {
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return std::string(filename);
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}
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return std::string(test_tmpdir) + std::string("/") + std::string(filename);
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}
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template <typename SetterType, typename DenseType, typename Scalar, int Options>
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bool test_random_setter(SparseMatrix<Scalar, Options>& sm, const DenseType& ref,
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const std::vector<Vector2i>& nonzeroCoords) {
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{
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sm.setZero();
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SetterType w(sm);
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std::vector<Vector2i> remaining = nonzeroCoords;
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while (!remaining.empty()) {
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int i = internal::random<int>(0, static_cast<int>(remaining.size()) - 1);
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w(remaining[i].x(), remaining[i].y()) = ref.coeff(remaining[i].x(), remaining[i].y());
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remaining[i] = remaining.back();
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remaining.pop_back();
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}
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}
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return sm.isApprox(ref);
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}
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template <typename SparseMatrixType>
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void sparse_extra(const SparseMatrixType& ref) {
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const Index rows = ref.rows();
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const Index cols = ref.cols();
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typedef typename SparseMatrixType::Scalar Scalar;
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enum { Flags = SparseMatrixType::Flags };
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double density = (std::max)(8. / (rows * cols), 0.01);
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typedef Matrix<Scalar, Dynamic, Dynamic> DenseMatrix;
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typedef Matrix<Scalar, Dynamic, 1> DenseVector;
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Scalar eps = 1e-6;
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SparseMatrixType m(rows, cols);
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DenseMatrix refMat = DenseMatrix::Zero(rows, cols);
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DenseVector vec1 = DenseVector::Random(rows);
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std::vector<Vector2i> zeroCoords;
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std::vector<Vector2i> nonzeroCoords;
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initSparse<Scalar>(density, refMat, m, 0, &zeroCoords, &nonzeroCoords);
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if (zeroCoords.size() == 0 || nonzeroCoords.size() == 0) return;
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// test coeff and coeffRef
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for (int i = 0; i < (int)zeroCoords.size(); ++i) {
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VERIFY_IS_MUCH_SMALLER_THAN(m.coeff(zeroCoords[i].x(), zeroCoords[i].y()), eps);
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if (internal::is_same<SparseMatrixType, SparseMatrix<Scalar, Flags> >::value)
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VERIFY_RAISES_ASSERT(m.coeffRef(zeroCoords[0].x(), zeroCoords[0].y()) = 5);
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}
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VERIFY_IS_APPROX(m, refMat);
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m.coeffRef(nonzeroCoords[0].x(), nonzeroCoords[0].y()) = Scalar(5);
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refMat.coeffRef(nonzeroCoords[0].x(), nonzeroCoords[0].y()) = Scalar(5);
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VERIFY_IS_APPROX(m, refMat);
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// random setter
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// {
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// m.setZero();
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// VERIFY_IS_NOT_APPROX(m, refMat);
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// SparseSetter<SparseMatrixType, RandomAccessPattern> w(m);
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// std::vector<Vector2i> remaining = nonzeroCoords;
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// while(!remaining.empty())
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// {
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// int i = internal::random<int>(0,remaining.size()-1);
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// w->coeffRef(remaining[i].x(),remaining[i].y()) = refMat.coeff(remaining[i].x(),remaining[i].y());
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// remaining[i] = remaining.back();
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// remaining.pop_back();
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// }
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// }
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// VERIFY_IS_APPROX(m, refMat);
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VERIFY((test_random_setter<RandomSetter<SparseMatrixType, StdMapTraits> >(m, refMat, nonzeroCoords)));
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VERIFY((test_random_setter<RandomSetter<SparseMatrixType, StdUnorderedMapTraits> >(m, refMat, nonzeroCoords)));
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#ifdef EIGEN_GOOGLEHASH_SUPPORT
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VERIFY((test_random_setter<RandomSetter<SparseMatrixType, GoogleDenseHashMapTraits> >(m, refMat, nonzeroCoords)));
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VERIFY((test_random_setter<RandomSetter<SparseMatrixType, GoogleSparseHashMapTraits> >(m, refMat, nonzeroCoords)));
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#endif
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// test RandomSetter
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/*{
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SparseMatrixType m1(rows,cols), m2(rows,cols);
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DenseMatrix refM1 = DenseMatrix::Zero(rows, rows);
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initSparse<Scalar>(density, refM1, m1);
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{
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Eigen::RandomSetter<SparseMatrixType > setter(m2);
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for (int j=0; j<m1.outerSize(); ++j)
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for (typename SparseMatrixType::InnerIterator i(m1,j); i; ++i)
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setter(i.index(), j) = i.value();
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}
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VERIFY_IS_APPROX(m1, m2);
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}*/
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}
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template <typename SparseMatrixType>
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void check_marketio() {
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typedef Matrix<typename SparseMatrixType::Scalar, Dynamic, Dynamic> DenseMatrix;
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Index rows = internal::random<Index>(1, 100);
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Index cols = internal::random<Index>(1, 100);
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SparseMatrixType m1, m2;
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m1 = DenseMatrix::Random(rows, cols).sparseView();
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std::string filename = GetTestTempFilename("sparse_extra.mtx");
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saveMarket(m1, filename);
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loadMarket(m2, filename);
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VERIFY_IS_EQUAL(DenseMatrix(m1), DenseMatrix(m2));
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}
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template <typename VectorType>
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void check_marketio_vector() {
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Index size = internal::random<Index>(1, 100);
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VectorType v1, v2;
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v1 = VectorType::Random(size);
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std::string filename = GetTestTempFilename("vector_extra.mtx");
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saveMarketVector(v1, filename);
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loadMarketVector(v2, filename);
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VERIFY_IS_EQUAL(v1, v2);
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}
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template <typename DenseMatrixType>
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void check_marketio_dense() {
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Index rows = DenseMatrixType::MaxRowsAtCompileTime;
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if (DenseMatrixType::MaxRowsAtCompileTime == Dynamic) {
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rows = internal::random<Index>(1, 100);
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} else if (DenseMatrixType::RowsAtCompileTime == Dynamic) {
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rows = internal::random<Index>(1, DenseMatrixType::MaxRowsAtCompileTime);
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}
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Index cols = DenseMatrixType::MaxColsAtCompileTime;
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if (DenseMatrixType::MaxColsAtCompileTime == Dynamic) {
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cols = internal::random<Index>(1, 100);
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} else if (DenseMatrixType::ColsAtCompileTime == Dynamic) {
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cols = internal::random<Index>(1, DenseMatrixType::MaxColsAtCompileTime);
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}
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DenseMatrixType m1, m2;
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m1 = DenseMatrixType::Random(rows, cols);
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std::string filename = GetTestTempFilename("dense_extra.mtx");
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saveMarketDense(m1, filename);
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loadMarketDense(m2, filename);
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VERIFY_IS_EQUAL(m1, m2);
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}
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template <typename Scalar>
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void check_sparse_inverse() {
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typedef SparseMatrix<Scalar> MatrixType;
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Matrix<Scalar, -1, -1> A;
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A.resize(1000, 1000);
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A.fill(0);
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A.setIdentity();
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A.col(0).array() += 1;
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A.row(0).array() += 2;
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A.col(2).array() += 3;
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A.row(7).array() += 3;
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A.col(9).array() += 3;
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A.block(3, 4, 4, 2).array() += 9;
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A.middleRows(10, 50).array() += 3;
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A.middleCols(50, 50).array() += 40;
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A.block(500, 300, 40, 20).array() += 10;
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A.transposeInPlace();
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Eigen::SparseLU<MatrixType> slu;
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slu.compute(A.sparseView());
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Matrix<Scalar, -1, -1> Id(A.rows(), A.cols());
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Id.setIdentity();
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Matrix<Scalar, -1, -1> inv = slu.solve(Id);
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const MatrixType sparseInv = Eigen::SparseInverse<Scalar>().compute(A.sparseView()).inverse();
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Scalar sumdiff = 0; // Check the diff only of the non-zero elements
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for (Eigen::Index j = 0; j < A.cols(); j++) {
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for (typename MatrixType::InnerIterator iter(sparseInv, j); iter; ++iter) {
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const Scalar diff = std::abs(inv(iter.row(), iter.col()) - iter.value());
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VERIFY_IS_APPROX_OR_LESS_THAN(diff, 1e-11);
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if (iter.value() != 0) {
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sumdiff += diff;
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}
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}
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}
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VERIFY_IS_APPROX_OR_LESS_THAN(sumdiff, 1e-10);
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}
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EIGEN_DECLARE_TEST(sparse_extra) {
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for (int i = 0; i < g_repeat; i++) {
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int s = Eigen::internal::random<int>(1, 50);
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CALL_SUBTEST_1(sparse_extra(SparseMatrix<double>(8, 8)));
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CALL_SUBTEST_2(sparse_extra(SparseMatrix<std::complex<double> >(s, s)));
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CALL_SUBTEST_1(sparse_extra(SparseMatrix<double>(s, s)));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<float, ColMajor, int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<double, ColMajor, int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<std::complex<float>, ColMajor, int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<std::complex<double>, ColMajor, int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<float, ColMajor, long int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<double, ColMajor, long int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<std::complex<float>, ColMajor, long int> >()));
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CALL_SUBTEST_3((check_marketio<SparseMatrix<std::complex<double>, ColMajor, long int> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<float, Dynamic, Dynamic> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<float, Dynamic, Dynamic, RowMajor> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<double, Dynamic, Dynamic> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<std::complex<float>, Dynamic, Dynamic> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<std::complex<double>, Dynamic, Dynamic> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<float, Dynamic, 3> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<double, 3, Dynamic> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<double, 3, 4> >()));
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CALL_SUBTEST_4((check_marketio_dense<Matrix<double, Dynamic, Dynamic, ColMajor, 5, 5> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<float, 1, Dynamic> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<double, 1, Dynamic> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<std::complex<float>, 1, Dynamic> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<std::complex<double>, 1, Dynamic> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<float, Dynamic, 1> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<double, Dynamic, 1> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<std::complex<float>, Dynamic, 1> >()));
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CALL_SUBTEST_5((check_marketio_vector<Matrix<std::complex<double>, Dynamic, 1> >()));
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CALL_SUBTEST_6((check_sparse_inverse<double>()));
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TEST_SET_BUT_UNUSED_VARIABLE(s);
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}
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}
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