fix m = m*m with m sparse (gug found by Frederik Heinz)

This commit is contained in:
Gael Guennebaud
2009-02-12 15:57:13 +00:00
parent 59a1ed0932
commit 20a8bb96eb
2 changed files with 98 additions and 87 deletions

View File

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