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* 4x4 inverse: revert to cofactors method

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* inverse tests: use createRandomMatrixOfRank, use more strict precision
* tests: createRandomMatrixOfRank: support 1x1 matrices
* determinant: nest the xpr
* Minor: add comment
This commit is contained in:
Benoit Jacob
2009-12-09 12:43:25 -05:00
parent f0315295e9
commit d2e44f2636
6 changed files with 43 additions and 121 deletions
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15
test/main.h
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@@ -353,13 +353,26 @@ void createRandomMatrixOfRank(int desired_rank, int rows, int cols, MatrixType&
typedef Matrix<Scalar, Rows, Rows> MatrixAType;
typedef Matrix<Scalar, Cols, Cols> MatrixBType;
if(desired_rank == 0)
{
m.setZero(rows,cols);
return;
}
if(desired_rank == 1)
{
m = VectorType::Random(rows) * VectorType::Random(cols).transpose();
return;
}
MatrixAType a = MatrixAType::Random(rows,rows);
MatrixType d = MatrixType::Identity(rows,cols);
MatrixBType b = MatrixBType::Random(cols,cols);
// set the diagonal such that only desired_rank non-zero entries reamain
const int diag_size = std::min(d.rows(),d.cols());
d.diagonal().segment(desired_rank, diag_size-desired_rank) = VectorType::Zero(diag_size-desired_rank);
if(diag_size != desired_rank)
d.diagonal().segment(desired_rank, diag_size-desired_rank) = VectorType::Zero(diag_size-desired_rank);
HouseholderQR<MatrixAType> qra(a);
HouseholderQR<MatrixBType> qrb(b);