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Fix HouseholderSequence::conjugate() and ::adjoint() and add respective unit tests.

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Gael Guennebaud
2013-06-17 00:14:42 +02:00
parent 9f11f80db1
commit 55365566b2
8 changed files with 31 additions and 9 deletions
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19
test/householder.cpp
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@@ -89,12 +89,29 @@ template<typename MatrixType> void householder(const MatrixType& m)
hseq.setLength(hc.size()).setShift(shift);
VERIFY(hseq.length() == hc.size());
VERIFY(hseq.shift() == shift);
MatrixType m5 = m2;
m5.block(shift,0,brows,cols).template triangularView<StrictlyLower>().setZero();
VERIFY_IS_APPROX(hseq * m5, m1); // test applying hseq directly
m3 = hseq;
VERIFY_IS_APPROX(m3 * m5, m1); // test evaluating hseq to a dense matrix, then applying
SquareMatrixType hseq_mat = hseq;
SquareMatrixType hseq_mat_conj = hseq.conjugate();
SquareMatrixType hseq_mat_adj = hseq.adjoint();
SquareMatrixType hseq_mat_trans = hseq.transpose();
SquareMatrixType m6 = SquareMatrixType::Random(rows, rows);
VERIFY_IS_APPROX(hseq_mat.adjoint(), hseq_mat_adj);
VERIFY_IS_APPROX(hseq_mat.conjugate(), hseq_mat_conj);
VERIFY_IS_APPROX(hseq_mat.transpose(), hseq_mat_trans);
VERIFY_IS_APPROX(hseq_mat * m6, hseq_mat * m6);
VERIFY_IS_APPROX(hseq_mat.adjoint() * m6, hseq_mat_adj * m6);
VERIFY_IS_APPROX(hseq_mat.conjugate() * m6, hseq_mat_conj * m6);
VERIFY_IS_APPROX(hseq_mat.transpose() * m6, hseq_mat_trans * m6);
VERIFY_IS_APPROX(m6 * hseq_mat, m6 * hseq_mat);
VERIFY_IS_APPROX(m6 * hseq_mat.adjoint(), m6 * hseq_mat_adj);
VERIFY_IS_APPROX(m6 * hseq_mat.conjugate(), m6 * hseq_mat_conj);
VERIFY_IS_APPROX(m6 * hseq_mat.transpose(), m6 * hseq_mat_trans);
// test householder sequence on the right with a shift