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modernize HouseholderQR too, uniformize all that stuff, update tests

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This commit is contained in:
Benoit Jacob
2009-08-24 13:46:14 -04:00
parent 7e4bd70157
commit 191d5275a7
7 changed files with 121 additions and 40 deletions
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25
test/qr.cpp
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@@ -27,7 +27,6 @@
template<typename MatrixType> void qr(const MatrixType& m)
{
/* this test covers the following files: QR.h */
int rows = m.rows();
int cols = m.cols();
@@ -37,8 +36,11 @@ template<typename MatrixType> void qr(const MatrixType& m)
MatrixType a = MatrixType::Random(rows,cols);
HouseholderQR<MatrixType> qrOfA(a);
VERIFY_IS_APPROX(a, qrOfA.matrixQ() * qrOfA.matrixR().toDense());
VERIFY_IS_NOT_APPROX(a+MatrixType::Identity(rows, cols), qrOfA.matrixQ() * qrOfA.matrixR().toDense());
MatrixType r = qrOfA.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);
VERIFY_IS_APPROX(a, qrOfA.matrixQ() * r);
SquareMatrixType b = a.adjoint() * a;
@@ -57,8 +59,9 @@ template<typename MatrixType> void qr(const MatrixType& m)
template<typename MatrixType> void qr_invertible()
{
/* this test covers the following files: QR.h */
typedef typename NumTraits<typename MatrixType::Scalar>::Real RealScalar;
typedef typename MatrixType::Scalar Scalar;
int size = ei_random<int>(10,50);
MatrixType m1(size, size), m2(size, size), m3(size, size);
@@ -75,6 +78,16 @@ template<typename MatrixType> void qr_invertible()
m3 = MatrixType::Random(size,size);
qr.solve(m3, &m2);
VERIFY_IS_APPROX(m3, m1*m2);
// now construct a matrix with prescribed determinant
m1.setZero();
for(int i = 0; i < size; i++) m1(i,i) = ei_random<Scalar>();
RealScalar absdet = ei_abs(m1.diagonal().prod());
m3 = qr.matrixQ(); // get a unitary
m1 = m3 * m1 * m3;
qr.compute(m1);
VERIFY_IS_APPROX(absdet, qr.absDeterminant());
VERIFY_IS_APPROX(ei_log(absdet), qr.logAbsDeterminant());
}
template<typename MatrixType> void qr_verify_assert()
@@ -82,9 +95,11 @@ template<typename MatrixType> void qr_verify_assert()
MatrixType tmp;
HouseholderQR<MatrixType> qr;
VERIFY_RAISES_ASSERT(qr.matrixR())
VERIFY_RAISES_ASSERT(qr.matrixQR())
VERIFY_RAISES_ASSERT(qr.solve(tmp,&tmp))
VERIFY_RAISES_ASSERT(qr.matrixQ())
VERIFY_RAISES_ASSERT(qr.absDeterminant())
VERIFY_RAISES_ASSERT(qr.logAbsDeterminant())
}
void test_qr()