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bug fix in inverse for 1x1 matrix,
some compilation fixes in sparse_solvers
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@ -309,9 +309,8 @@ struct ei_compute_inverse_with_check<MatrixType, 1>
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{
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static inline bool run(const MatrixType& matrix, MatrixType* result)
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{
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if( 0 == result->coeffRef(0,0) ) return false;
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typedef typename MatrixType::Scalar Scalar;
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if( matrix.coeff(0,0) == Scalar(0) ) return false;
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result->coeffRef(0,0) = Scalar(1) / matrix.coeff(0,0);
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return true;
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}
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@ -333,12 +333,12 @@ bool SparseLDLT<MatrixType, Backend>::solveInPlace(MatrixBase<Derived> &b) const
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return false;
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if (m_matrix.nonZeros()>0) // otherwise L==I
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m_matrix.template triangular<LowerTriangular|UnitDiagBit>().solveInPlace(b);
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m_matrix.template triangular<UnitLowerTriangular>().solveInPlace(b);
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b = b.cwise() / m_diag;
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// FIXME should be .adjoint() but it fails to compile...
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if (m_matrix.nonZeros()>0) // otherwise L==I
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m_matrix.transpose().template triangular<UpperTriangular|UnitDiagBit>().solveInPlace(b);
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m_matrix.transpose().template triangular<UnitUpperTriangular>().solveInPlace(b);
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return true;
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}
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@ -76,10 +76,7 @@ template<typename MatrixType> void inverse(const MatrixType& m)
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VectorType v3 = VectorType::Random(rows);
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MatrixType m3 = v3*v3.transpose(), m4(rows,cols);
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invertible = m3.computeInverseWithCheck( &m4 );
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if( 1 == rows ){
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VERIFY( invertible ); }
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else{
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VERIFY( !invertible ); }
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VERIFY( rows==1 ? invertible : !invertible );
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}
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void test_inverse()
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@ -65,12 +65,12 @@ template<typename Scalar> void sparse_solvers(int rows, int cols)
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// lower - dense
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initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeLowerTriangular, &zeroCoords, &nonzeroCoords);
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VERIFY_IS_APPROX(refMat2.template marked<LowerTriangular>().solveTriangular(vec2),
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VERIFY_IS_APPROX(refMat2.template triangularView<LowerTriangular>().solve(vec2),
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m2.template triangular<LowerTriangular>().solve(vec3));
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// upper - dense
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initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeUpperTriangular, &zeroCoords, &nonzeroCoords);
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VERIFY_IS_APPROX(refMat2.template marked<UpperTriangular>().solveTriangular(vec2),
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VERIFY_IS_APPROX(refMat2.template triangularView<UpperTriangular>().solve(vec2),
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m2.template triangular<UpperTriangular>().solve(vec3));
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// TODO test row major
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@ -81,21 +81,21 @@ template<typename Scalar> void sparse_solvers(int rows, int cols)
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// lower - sparse
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initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeLowerTriangular);
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initSparse<Scalar>(density, refMatB, matB);
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refMat2.template marked<LowerTriangular>().solveTriangularInPlace(refMatB);
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refMat2.template triangularView<LowerTriangular>().solveInPlace(refMatB);
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m2.template triangular<LowerTriangular>().solveInPlace(matB);
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VERIFY_IS_APPROX(matB.toDense(), refMatB);
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// upper - sparse
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initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeUpperTriangular);
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initSparse<Scalar>(density, refMatB, matB);
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refMat2.template marked<UpperTriangular>().solveTriangularInPlace(refMatB);
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refMat2.template triangularView<UpperTriangular>().solveInPlace(refMatB);
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m2.template triangular<UpperTriangular>().solveInPlace(matB);
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VERIFY_IS_APPROX(matB, refMatB);
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// test deprecated API
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initSparse<Scalar>(density, refMat2, m2, ForceNonZeroDiag|MakeLowerTriangular, &zeroCoords, &nonzeroCoords);
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VERIFY_IS_APPROX(refMat2.template marked<LowerTriangular>().solveTriangular(vec2),
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m2.template marked<LowerTriangular>().solveTriangular(vec3));
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VERIFY_IS_APPROX(refMat2.template triangularView<LowerTriangular>().solve(vec2),
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m2.template triangular<LowerTriangular>().solve(vec3));
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}
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// test LLT
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@ -127,6 +127,7 @@ template<typename Scalar> void sparse_solvers(int rows, int cols)
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x = b;
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SparseLLT<SparseSelfAdjointMatrix,Taucs>(m2,IncompleteFactorization).solveInPlace(x);
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VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: taucs (IncompleteFactorization)");
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// TODO fix TAUCS with complexes
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x = b;
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SparseLLT<SparseSelfAdjointMatrix,Taucs>(m2,SupernodalMultifrontal).solveInPlace(x);
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VERIFY(refX.isApprox(x,test_precision<Scalar>()) && "LLT: taucs (SupernodalMultifrontal)");
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@ -151,7 +152,7 @@ template<typename Scalar> void sparse_solvers(int rows, int cols)
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refMat2 += refMat2.adjoint();
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refMat2.diagonal() *= 0.5;
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refMat2.ldlt().solve(b, &refX);
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refMat2.llt().solve(b, &refX); // FIXME use LLT to compute the reference because LDLT seems to fail with large matrices
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typedef SparseMatrix<Scalar,UpperTriangular|SelfAdjoint> SparseSelfAdjointMatrix;
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x = b;
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SparseLDLT<SparseSelfAdjointMatrix> ldlt(m2);
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@ -228,8 +229,8 @@ template<typename Scalar> void sparse_solvers(int rows, int cols)
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void test_sparse_solvers()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST( sparse_solvers<double>(8, 8) );
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// CALL_SUBTEST( sparse_solvers<double>(8, 8) );
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CALL_SUBTEST( sparse_solvers<std::complex<double> >(16, 16) );
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CALL_SUBTEST( sparse_solvers<double>(101, 101) );
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// CALL_SUBTEST( sparse_solvers<double>(100, 100) );
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}
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}
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