// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2008-2011 Gael Guennebaud // Copyright (C) 2008 Daniel Gomez Ferro // Copyright (C) 2013 Désiré Nuentsa-Wakam // // 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 "sparse.h" template void sparse_basic(const SparseMatrixType& ref) { typedef typename SparseMatrixType::Index Index; typedef Matrix Vector2; const Index rows = ref.rows(); const Index cols = ref.cols(); const Index inner = ref.innerSize(); const Index outer = ref.outerSize(); typedef typename SparseMatrixType::Scalar Scalar; enum { Flags = SparseMatrixType::Flags }; double density = (std::max)(8./(rows*cols), 0.01); typedef Matrix DenseMatrix; typedef Matrix DenseVector; Scalar eps = 1e-6; Scalar s1 = internal::random(); { SparseMatrixType m(rows, cols); DenseMatrix refMat = DenseMatrix::Zero(rows, cols); DenseVector vec1 = DenseVector::Random(rows); std::vector zeroCoords; std::vector nonzeroCoords; initSparse(density, refMat, m, 0, &zeroCoords, &nonzeroCoords); // test coeff and coeffRef for (std::size_t i=0; i >::value) VERIFY_RAISES_ASSERT( m.coeffRef(zeroCoords[i].x(),zeroCoords[i].y()) = 5 ); } VERIFY_IS_APPROX(m, refMat); if(!nonzeroCoords.empty()) { 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); // test InnerIterators and Block expressions for (int t=0; t<10; ++t) { int j = internal::random(0,cols-1); int i = internal::random(0,rows-1); int w = internal::random(1,cols-j-1); int h = internal::random(1,rows-i-1); VERIFY_IS_APPROX(m.block(i,j,h,w), refMat.block(i,j,h,w)); for(int c=0; c()%2) m2.reserve(VectorXi::Constant(m2.outerSize(), 2)); for (Index j=0; j(0,rows-1); if (m1.coeff(i,j)==Scalar(0)) m2.insert(i,j) = m1(i,j) = internal::random(); } } m2.finalize(); VERIFY_IS_APPROX(m2,m1); } // test insert (fully random) { DenseMatrix m1(rows,cols); m1.setZero(); SparseMatrixType m2(rows,cols); if(internal::random()%2) m2.reserve(VectorXi::Constant(m2.outerSize(), 2)); for (int k=0; k(0,rows-1); Index j = internal::random(0,cols-1); if ((m1.coeff(i,j)==Scalar(0)) && (internal::random()%2)) m2.insert(i,j) = m1(i,j) = internal::random(); else { Scalar v = internal::random(); m2.coeffRef(i,j) += v; m1(i,j) += v; } } VERIFY_IS_APPROX(m2,m1); } // test insert (un-compressed) for(int mode=0;mode<4;++mode) { DenseMatrix m1(rows,cols); m1.setZero(); SparseMatrixType m2(rows,cols); VectorXi r(VectorXi::Constant(m2.outerSize(), ((mode%2)==0) ? int(m2.innerSize()) : std::max(1,int(m2.innerSize())/8))); m2.reserve(r); for (int k=0; k(0,rows-1); Index j = internal::random(0,cols-1); if (m1.coeff(i,j)==Scalar(0)) m2.insert(i,j) = m1(i,j) = internal::random(); if(mode==3) m2.reserve(r); } if(internal::random()%2) m2.makeCompressed(); VERIFY_IS_APPROX(m2,m1); } // test innerVector() { DenseMatrix refMat2 = DenseMatrix::Zero(rows, cols); SparseMatrixType m2(rows, cols); initSparse(density, refMat2, m2); Index j0 = internal::random(0,outer-1); Index j1 = internal::random(0,outer-1); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.innerVector(j0), refMat2.row(j0)); else VERIFY_IS_APPROX(m2.innerVector(j0), refMat2.col(j0)); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.innerVector(j0)+m2.innerVector(j1), refMat2.row(j0)+refMat2.row(j1)); else VERIFY_IS_APPROX(m2.innerVector(j0)+m2.innerVector(j1), refMat2.col(j0)+refMat2.col(j1)); SparseMatrixType m3(rows,cols); m3.reserve(VectorXi::Constant(outer,int(inner/2))); for(Index j=0; j0) VERIFY(j==numext::real(m3.innerVector(j).lastCoeff())); } m3.makeCompressed(); for(Index j=0; j<(std::min)(outer, inner); ++j) { VERIFY(j==numext::real(m3.innerVector(j).nonZeros())); if(j>0) VERIFY(j==numext::real(m3.innerVector(j).lastCoeff())); } VERIFY(m3.innerVector(j0).nonZeros() == m3.transpose().innerVector(j0).nonZeros()); // m2.innerVector(j0) = 2*m2.innerVector(j1); // refMat2.col(j0) = 2*refMat2.col(j1); // VERIFY_IS_APPROX(m2, refMat2); } // test innerVectors() { DenseMatrix refMat2 = DenseMatrix::Zero(rows, cols); SparseMatrixType m2(rows, cols); initSparse(density, refMat2, m2); if(internal::random(0,1)>0.5) m2.makeCompressed(); Index j0 = internal::random(0,outer-2); Index j1 = internal::random(0,outer-2); Index n0 = internal::random(1,outer-(std::max)(j0,j1)); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.innerVectors(j0,n0), refMat2.block(j0,0,n0,cols)); else VERIFY_IS_APPROX(m2.innerVectors(j0,n0), refMat2.block(0,j0,rows,n0)); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.innerVectors(j0,n0)+m2.innerVectors(j1,n0), refMat2.middleRows(j0,n0)+refMat2.middleRows(j1,n0)); else VERIFY_IS_APPROX(m2.innerVectors(j0,n0)+m2.innerVectors(j1,n0), refMat2.block(0,j0,rows,n0)+refMat2.block(0,j1,rows,n0)); VERIFY_IS_APPROX(m2, refMat2); VERIFY(m2.innerVectors(j0,n0).nonZeros() == m2.transpose().innerVectors(j0,n0).nonZeros()); m2.innerVectors(j0,n0) = m2.innerVectors(j0,n0) + m2.innerVectors(j1,n0); if(SparseMatrixType::IsRowMajor) refMat2.middleRows(j0,n0) = (refMat2.middleRows(j0,n0) + refMat2.middleRows(j1,n0)).eval(); else refMat2.middleCols(j0,n0) = (refMat2.middleCols(j0,n0) + refMat2.middleCols(j1,n0)).eval(); VERIFY_IS_APPROX(m2, refMat2); } // test basic computations { DenseMatrix refM1 = DenseMatrix::Zero(rows, cols); DenseMatrix refM2 = DenseMatrix::Zero(rows, cols); DenseMatrix refM3 = DenseMatrix::Zero(rows, cols); DenseMatrix refM4 = DenseMatrix::Zero(rows, cols); SparseMatrixType m1(rows, cols); SparseMatrixType m2(rows, cols); SparseMatrixType m3(rows, cols); SparseMatrixType m4(rows, cols); initSparse(density, refM1, m1); initSparse(density, refM2, m2); initSparse(density, refM3, m3); initSparse(density, refM4, m4); VERIFY_IS_APPROX(m1*s1, refM1*s1); VERIFY_IS_APPROX(m1+m2, refM1+refM2); VERIFY_IS_APPROX(m1+m2+m3, refM1+refM2+refM3); VERIFY_IS_APPROX(m3.cwiseProduct(m1+m2), refM3.cwiseProduct(refM1+refM2)); VERIFY_IS_APPROX(m1*s1-m2, refM1*s1-refM2); VERIFY_IS_APPROX(m1*=s1, refM1*=s1); VERIFY_IS_APPROX(m1/=s1, refM1/=s1); VERIFY_IS_APPROX(m1+=m2, refM1+=refM2); VERIFY_IS_APPROX(m1-=m2, refM1-=refM2); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m1.innerVector(0).dot(refM2.row(0)), refM1.row(0).dot(refM2.row(0))); else VERIFY_IS_APPROX(m1.innerVector(0).dot(refM2.col(0)), refM1.col(0).dot(refM2.col(0))); DenseVector rv = DenseVector::Random(m1.cols()); DenseVector cv = DenseVector::Random(m1.rows()); Index r = internal::random(0,m1.rows()-2); Index c = internal::random(0,m1.cols()-1); VERIFY_IS_APPROX(( m1.template block<1,Dynamic>(r,0,1,m1.cols()).dot(rv)) , refM1.row(r).dot(rv)); VERIFY_IS_APPROX(m1.row(r).dot(rv), refM1.row(r).dot(rv)); VERIFY_IS_APPROX(m1.col(c).dot(cv), refM1.col(c).dot(cv)); VERIFY_IS_APPROX(m1.conjugate(), refM1.conjugate()); VERIFY_IS_APPROX(m1.real(), refM1.real()); refM4.setRandom(); // sparse cwise* dense VERIFY_IS_APPROX(m3.cwiseProduct(refM4), refM3.cwiseProduct(refM4)); // VERIFY_IS_APPROX(m3.cwise()/refM4, refM3.cwise()/refM4); // test aliasing VERIFY_IS_APPROX((m1 = -m1), (refM1 = -refM1)); VERIFY_IS_APPROX((m1 = m1.transpose()), (refM1 = refM1.transpose().eval())); VERIFY_IS_APPROX((m1 = -m1.transpose()), (refM1 = -refM1.transpose().eval())); VERIFY_IS_APPROX((m1 += -m1), (refM1 += -refM1)); } // test transpose { DenseMatrix refMat2 = DenseMatrix::Zero(rows, cols); SparseMatrixType m2(rows, cols); initSparse(density, refMat2, m2); VERIFY_IS_APPROX(m2.transpose().eval(), refMat2.transpose().eval()); VERIFY_IS_APPROX(m2.transpose(), refMat2.transpose()); VERIFY_IS_APPROX(SparseMatrixType(m2.adjoint()), refMat2.adjoint()); // check isApprox handles opposite storage order typename Transpose::PlainObject m3(m2); VERIFY(m2.isApprox(m3)); } // test generic blocks { DenseMatrix refMat2 = DenseMatrix::Zero(rows, cols); SparseMatrixType m2(rows, cols); initSparse(density, refMat2, m2); Index j0 = internal::random(0,outer-2); Index j1 = internal::random(0,outer-2); Index n0 = internal::random(1,outer-(std::max)(j0,j1)); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.block(j0,0,n0,cols), refMat2.block(j0,0,n0,cols)); else VERIFY_IS_APPROX(m2.block(0,j0,rows,n0), refMat2.block(0,j0,rows,n0)); if(SparseMatrixType::IsRowMajor) VERIFY_IS_APPROX(m2.block(j0,0,n0,cols)+m2.block(j1,0,n0,cols), refMat2.block(j0,0,n0,cols)+refMat2.block(j1,0,n0,cols)); else VERIFY_IS_APPROX(m2.block(0,j0,rows,n0)+m2.block(0,j1,rows,n0), refMat2.block(0,j0,rows,n0)+refMat2.block(0,j1,rows,n0)); Index i = internal::random(0,m2.outerSize()-1); if(SparseMatrixType::IsRowMajor) { m2.innerVector(i) = m2.innerVector(i) * s1; refMat2.row(i) = refMat2.row(i) * s1; VERIFY_IS_APPROX(m2,refMat2); } else { m2.innerVector(i) = m2.innerVector(i) * s1; refMat2.col(i) = refMat2.col(i) * s1; VERIFY_IS_APPROX(m2,refMat2); } } // test prune { SparseMatrixType m2(rows, cols); DenseMatrix refM2(rows, cols); refM2.setZero(); int countFalseNonZero = 0; int countTrueNonZero = 0; for (Index j=0; j(0,1); if (x<0.1) { // do nothing } else if (x<0.5) { countFalseNonZero++; m2.insertBackByOuterInner(j,i) = Scalar(0); } else { countTrueNonZero++; m2.insertBackByOuterInner(j,i) = Scalar(1); if(SparseMatrixType::IsRowMajor) refM2(j,i) = Scalar(1); else refM2(i,j) = Scalar(1); } } } m2.finalize(); VERIFY(countFalseNonZero+countTrueNonZero == m2.nonZeros()); VERIFY_IS_APPROX(m2, refM2); m2.prune(Scalar(1)); VERIFY(countTrueNonZero==m2.nonZeros()); VERIFY_IS_APPROX(m2, refM2); } // test setFromTriplets { typedef Triplet TripletType; std::vector triplets; Index ntriplets = rows*cols; triplets.reserve(ntriplets); DenseMatrix refMat(rows,cols); refMat.setZero(); for(Index i=0;i(0,rows-1); Index c = internal::random(0,cols-1); Scalar v = internal::random(); triplets.push_back(TripletType(r,c,v)); refMat(r,c) += v; } SparseMatrixType m(rows,cols); m.setFromTriplets(triplets.begin(), triplets.end()); VERIFY_IS_APPROX(m, refMat); } // test triangularView { DenseMatrix refMat2(rows, cols), refMat3(rows, cols); SparseMatrixType m2(rows, cols), m3(rows, cols); initSparse(density, refMat2, m2); refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); if(inner>=outer) // FIXME this should be implemented for outer>inner as well { refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); } refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); refMat3 = refMat2.template triangularView(); m3 = m2.template triangularView(); VERIFY_IS_APPROX(m3, refMat3); } // test selfadjointView if(!SparseMatrixType::IsRowMajor) { DenseMatrix refMat2(rows, rows), refMat3(rows, rows); SparseMatrixType m2(rows, rows), m3(rows, rows); initSparse(density, refMat2, m2); refMat3 = refMat2.template selfadjointView(); m3 = m2.template selfadjointView(); VERIFY_IS_APPROX(m3, refMat3); // selfadjointView only works for square matrices: SparseMatrixType m4(rows, rows+1); VERIFY_RAISES_ASSERT(m4.template selfadjointView()); VERIFY_RAISES_ASSERT(m4.template selfadjointView()); } // test sparseView { DenseMatrix refMat2 = DenseMatrix::Zero(rows, rows); SparseMatrixType m2(rows, rows); initSparse(density, refMat2, m2); VERIFY_IS_APPROX(m2.eval(), refMat2.sparseView().eval()); } // test diagonal { DenseMatrix refMat2 = DenseMatrix::Zero(rows, cols); SparseMatrixType m2(rows, cols); initSparse(density, refMat2, m2); VERIFY_IS_APPROX(m2.diagonal(), refMat2.diagonal().eval()); } // test conservative resize { std::vector< std::pair > inc; if(rows > 3 && cols > 2) inc.push_back(std::pair(-3,-2)); inc.push_back(std::pair(0,0)); inc.push_back(std::pair(3,2)); inc.push_back(std::pair(3,0)); inc.push_back(std::pair(0,3)); for(size_t i = 0; i< inc.size(); i++) { Index incRows = inc[i].first; Index incCols = inc[i].second; SparseMatrixType m1(rows, cols); DenseMatrix refMat1 = DenseMatrix::Zero(rows, cols); initSparse(density, refMat1, m1); m1.conservativeResize(rows+incRows, cols+incCols); refMat1.conservativeResize(rows+incRows, cols+incCols); if (incRows > 0) refMat1.bottomRows(incRows).setZero(); if (incCols > 0) refMat1.rightCols(incCols).setZero(); VERIFY_IS_APPROX(m1, refMat1); // Insert new values if (incRows > 0) m1.insert(m1.rows()-1, 0) = refMat1(refMat1.rows()-1, 0) = 1; if (incCols > 0) m1.insert(0, m1.cols()-1) = refMat1(0, refMat1.cols()-1) = 1; VERIFY_IS_APPROX(m1, refMat1); } } // test Identity matrix { DenseMatrix refMat1 = DenseMatrix::Identity(rows, rows); SparseMatrixType m1(rows, rows); m1.setIdentity(); VERIFY_IS_APPROX(m1, refMat1); } } template void big_sparse_triplet(typename SparseMatrixType::Index rows, typename SparseMatrixType::Index cols, double density) { typedef typename SparseMatrixType::Index Index; typedef typename SparseMatrixType::Scalar Scalar; typedef Triplet TripletType; std::vector triplets; double nelements = density * rows*cols; VERIFY(nelements>=0 && nelements < NumTraits::highest()); Index ntriplets = Index(nelements); triplets.reserve(ntriplets); Scalar sum = Scalar(0); for(Index i=0;i(0,rows-1); Index c = internal::random(0,cols-1); Scalar v = internal::random(); triplets.push_back(TripletType(r,c,v)); sum += v; } SparseMatrixType m(rows,cols); m.setFromTriplets(triplets.begin(), triplets.end()); VERIFY(m.nonZeros() <= ntriplets); VERIFY_IS_APPROX(sum, m.sum()); } void test_sparse_basic() { for(int i = 0; i < g_repeat; i++) { int r = Eigen::internal::random(1,100), c = Eigen::internal::random(1,100); if(Eigen::internal::random(0,4) == 0) { r = c; // check square matrices in 25% of tries } EIGEN_UNUSED_VARIABLE(r+c); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(1, 1)) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(8, 8)) )); CALL_SUBTEST_2(( sparse_basic(SparseMatrix, ColMajor>(r, c)) )); CALL_SUBTEST_2(( sparse_basic(SparseMatrix, RowMajor>(r, c)) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(r, c)) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(r, c)) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(r, c)) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(short(r), short(c))) )); CALL_SUBTEST_1(( sparse_basic(SparseMatrix(short(r), short(c))) )); } // Regression test for bug 900: (manually insert higher values here, if you have enough RAM): CALL_SUBTEST_3((big_sparse_triplet >(10000, 10000, 0.125))); CALL_SUBTEST_4((big_sparse_triplet >(10000, 10000, 0.125))); }