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Fix compilation of HouseholderQR and ColPivotingHouseholderQR for non-square fixed-size matrices.

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For Colpiv that was just changing MatrixQType to MatrixType in the instantiation of HouseholderSequence.
For HouseholderQR I also re-ported the solve method from Colpiv as there were multiple issues.
This commit is contained in:
Benoit Jacob
2009-09-28 10:49:55 -04:00
parent 67bf7c90c5
commit eeabd18afc
4 changed files with 36 additions and 27 deletions
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38
test/qr.cpp
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@@ -41,20 +41,26 @@ template<typename MatrixType> void qr(const MatrixType& m)
for(int i = 0; i < rows; i++) for(int j = 0; j < cols; j++) if(i>j) r(i,j) = Scalar(0);
VERIFY_IS_APPROX(a, qrOfA.matrixQ() * r);
}
SquareMatrixType b = a.adjoint() * a;
template<typename MatrixType, int Cols2> void qr_fixedsize()
{
enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime };
typedef typename MatrixType::Scalar Scalar;
Matrix<Scalar,Rows,Cols> m1 = Matrix<Scalar,Rows,Cols>::Random();
HouseholderQR<Matrix<Scalar,Rows,Cols> > qr(m1);
// check tridiagonalization
Tridiagonalization<SquareMatrixType> tridiag(b);
VERIFY_IS_APPROX(b, tridiag.matrixQ() * tridiag.matrixT() * tridiag.matrixQ().adjoint());
Matrix<Scalar,Rows,Cols> r = qr.matrixQR();
// FIXME need better way to construct trapezoid
for(int i = 0; i < Rows; i++) for(int j = 0; j < Cols; j++) if(i>j) r(i,j) = Scalar(0);
// check hessenberg decomposition
HessenbergDecomposition<SquareMatrixType> hess(b);
VERIFY_IS_APPROX(b, hess.matrixQ() * hess.matrixH() * hess.matrixQ().adjoint());
VERIFY_IS_APPROX(tridiag.matrixT(), hess.matrixH());
b = SquareMatrixType::Random(cols,cols);
hess.compute(b);
VERIFY_IS_APPROX(b, hess.matrixQ() * hess.matrixH() * hess.matrixQ().adjoint());
VERIFY_IS_APPROX(m1, qr.matrixQ() * r);
Matrix<Scalar,Cols,Cols2> m2 = Matrix<Scalar,Cols,Cols2>::Random(Cols,Cols2);
Matrix<Scalar,Rows,Cols2> m3 = m1*m2;
m2 = Matrix<Scalar,Cols,Cols2>::Random(Cols,Cols2);
qr.solve(m3, &m2);
VERIFY_IS_APPROX(m3, m1*m2);
}
template<typename MatrixType> void qr_invertible()
@@ -105,11 +111,11 @@ template<typename MatrixType> void qr_verify_assert()
void test_qr()
{
for(int i = 0; i < 1; i++) {
// FIXME : very weird bug here
// CALL_SUBTEST( qr(Matrix2f()) );
CALL_SUBTEST( qr(Matrix4d()) );
CALL_SUBTEST( qr(MatrixXf(47,40)) );
CALL_SUBTEST( qr(MatrixXcd(17,7)) );
CALL_SUBTEST( qr(MatrixXf(47,40)) );
CALL_SUBTEST( qr(MatrixXcd(17,7)) );
CALL_SUBTEST(( qr_fixedsize<Matrix<float,3,4>, 2 >() ));
CALL_SUBTEST(( qr_fixedsize<Matrix<double,6,2>, 4 >() ));
CALL_SUBTEST(( qr_fixedsize<Matrix<double,2,5>, 7 >() ));
}
for(int i = 0; i < g_repeat; i++) {