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https://gitlab.com/libeigen/eigen.git
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fix m = m*m with m sparse (gug found by Frederik Heinz)
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@@ -30,14 +30,13 @@ template<typename SparseMatrixType> void sparse_product(const SparseMatrixType&
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const int 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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// test matrix-matrix product
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/*
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{
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DenseMatrix refMat2 = DenseMatrix::Zero(rows, rows);
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DenseMatrix refMat3 = DenseMatrix::Zero(rows, rows);
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@@ -65,9 +64,10 @@ template<typename SparseMatrixType> void sparse_product(const SparseMatrixType&
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VERIFY_IS_APPROX(dm4=refMat2*m3.transpose(), refMat4=refMat2*refMat3.transpose());
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VERIFY_IS_APPROX(dm4=refMat2.transpose()*m3, refMat4=refMat2.transpose()*refMat3);
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VERIFY_IS_APPROX(dm4=refMat2.transpose()*m3.transpose(), refMat4=refMat2.transpose()*refMat3.transpose());
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VERIFY_IS_APPROX(m3=m3*m3, refMat3=refMat3*refMat3);
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}
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*/
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// test matrix - diagonal product
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{
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DenseMatrix refM2 = DenseMatrix::Zero(rows, rows);
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@@ -77,46 +77,44 @@ template<typename SparseMatrixType> void sparse_product(const SparseMatrixType&
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SparseMatrixType m3(rows, rows);
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initSparse<Scalar>(density, refM2, m2);
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initSparse<Scalar>(density, refM3, m3);
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// std::cerr << "foo\n" << (m2*d1).toDense() << "\n\n" << refM2*d1 << "\n\n";
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VERIFY_IS_APPROX(m3=m2*d1, refM3=refM2*d1);
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VERIFY_IS_APPROX(m3=m2.transpose()*d1, refM3=refM2.transpose()*d1);
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VERIFY_IS_APPROX(m3=d1*m2, refM3=d1*refM2);
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// std::cerr << "foo\n" << (d1*m2.transpose()).toDense() << "\n\n" << d1 * refM2.transpose() << "\n\n";
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VERIFY_IS_APPROX(m3=d1*m2.transpose(), refM3=d1 * refM2.transpose());
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}
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// test self adjoint products
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// {
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// DenseMatrix b = DenseMatrix::Random(rows, rows);
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// DenseMatrix x = DenseMatrix::Random(rows, rows);
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// DenseMatrix refX = DenseMatrix::Random(rows, rows);
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// DenseMatrix refUp = DenseMatrix::Zero(rows, rows);
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// DenseMatrix refLo = DenseMatrix::Zero(rows, rows);
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// DenseMatrix refS = DenseMatrix::Zero(rows, rows);
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// SparseMatrixType mUp(rows, rows);
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// SparseMatrixType mLo(rows, rows);
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// SparseMatrixType mS(rows, rows);
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// do {
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// initSparse<Scalar>(density, refUp, mUp, ForceRealDiag|/*ForceNonZeroDiag|*/MakeUpperTriangular);
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// } while (refUp.isZero());
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// refLo = refUp.transpose().conjugate();
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// mLo = mUp.transpose().conjugate();
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// refS = refUp + refLo;
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// refS.diagonal() *= 0.5;
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// mS = mUp + mLo;
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// for (int k=0; k<mS.outerSize(); ++k)
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// for (typename SparseMatrixType::InnerIterator it(mS,k); it; ++it)
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// if (it.index() == k)
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// it.valueRef() *= 0.5;
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//
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// VERIFY_IS_APPROX(refS.adjoint(), refS);
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// VERIFY_IS_APPROX(mS.transpose().conjugate(), mS);
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// VERIFY_IS_APPROX(mS, refS);
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// VERIFY_IS_APPROX(x=mS*b, refX=refS*b);
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// VERIFY_IS_APPROX(x=mUp.template marked<UpperTriangular|SelfAdjoint>()*b, refX=refS*b);
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// VERIFY_IS_APPROX(x=mLo.template marked<LowerTriangular|SelfAdjoint>()*b, refX=refS*b);
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// VERIFY_IS_APPROX(x=mS.template marked<SelfAdjoint>()*b, refX=refS*b);
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// }
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{
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DenseMatrix b = DenseMatrix::Random(rows, rows);
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DenseMatrix x = DenseMatrix::Random(rows, rows);
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DenseMatrix refX = DenseMatrix::Random(rows, rows);
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DenseMatrix refUp = DenseMatrix::Zero(rows, rows);
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DenseMatrix refLo = DenseMatrix::Zero(rows, rows);
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DenseMatrix refS = DenseMatrix::Zero(rows, rows);
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SparseMatrixType mUp(rows, rows);
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SparseMatrixType mLo(rows, rows);
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SparseMatrixType mS(rows, rows);
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do {
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initSparse<Scalar>(density, refUp, mUp, ForceRealDiag|/*ForceNonZeroDiag|*/MakeUpperTriangular);
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} while (refUp.isZero());
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refLo = refUp.transpose().conjugate();
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mLo = mUp.transpose().conjugate();
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refS = refUp + refLo;
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refS.diagonal() *= 0.5;
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mS = mUp + mLo;
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for (int k=0; k<mS.outerSize(); ++k)
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for (typename SparseMatrixType::InnerIterator it(mS,k); it; ++it)
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if (it.index() == k)
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it.valueRef() *= 0.5;
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VERIFY_IS_APPROX(refS.adjoint(), refS);
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VERIFY_IS_APPROX(mS.transpose().conjugate(), mS);
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VERIFY_IS_APPROX(mS, refS);
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VERIFY_IS_APPROX(x=mS*b, refX=refS*b);
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VERIFY_IS_APPROX(x=mUp.template marked<UpperTriangular|SelfAdjoint>()*b, refX=refS*b);
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VERIFY_IS_APPROX(x=mLo.template marked<LowerTriangular|SelfAdjoint>()*b, refX=refS*b);
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VERIFY_IS_APPROX(x=mS.template marked<SelfAdjoint>()*b, refX=refS*b);
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}
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}
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@@ -126,7 +124,7 @@ void test_sparse_product()
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CALL_SUBTEST( sparse_product(SparseMatrix<double>(8, 8)) );
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CALL_SUBTEST( sparse_product(SparseMatrix<std::complex<double> >(16, 16)) );
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CALL_SUBTEST( sparse_product(SparseMatrix<double>(33, 33)) );
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CALL_SUBTEST( sparse_product(DynamicSparseMatrix<double>(8, 8)) );
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}
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}
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