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Much more convenient, less over-engineered NumTraits. Done during this KDE-Edu weekend.

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This commit is contained in:
Benoit Jacob
2007-12-02 18:32:59 +00:00
parent 2fdd067d9e
commit e05f29191e
10 changed files with 193 additions and 149 deletions
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32
test/adjoint.cpp
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@@ -25,6 +25,8 @@
#include "main.h"
namespace Eigen {
template<typename MatrixType> void adjoint(const MatrixType& m)
{
/* this test covers the following files:
@@ -49,8 +51,8 @@ template<typename MatrixType> void adjoint(const MatrixType& m)
v3 = VectorType::random(rows),
vzero = VectorType::zero(rows);
Scalar s1 = NumTraits<Scalar>::random(),
s2 = NumTraits<Scalar>::random();
Scalar s1 = random<Scalar>(),
s2 = random<Scalar>();
// check involutivity of adjoint, transpose, conjugate
QVERIFY(m1.transpose().transpose().isApprox(m1));
@@ -67,28 +69,32 @@ template<typename MatrixType> void adjoint(const MatrixType& m)
QVERIFY((m1.adjoint() * m2).adjoint().isApprox(m2.adjoint() * m1));
QVERIFY((m1.transpose() * m2).conjugate().isApprox(m1.adjoint() * m2.conjugate()));
QVERIFY((s1 * m1).transpose().isApprox(s1 * m1.transpose()));
QVERIFY((s1 * m1).conjugate().isApprox(NumTraits<Scalar>::conj(s1) * m1.conjugate()));
QVERIFY((s1 * m1).adjoint().isApprox(NumTraits<Scalar>::conj(s1) * m1.adjoint()));
QVERIFY((s1 * m1).conjugate().isApprox(conj(s1) * m1.conjugate()));
QVERIFY((s1 * m1).adjoint().isApprox(conj(s1) * m1.adjoint()));
// check basic properties of dot, norm, norm2
typedef typename NumTraits<Scalar>::Real RealScalar;
QVERIFY(NumTraits<Scalar>::isApprox((s1 * v1 + s2 * v2).dot(v3), s1 * v1.dot(v3) + s2 * v2.dot(v3)));
QVERIFY(NumTraits<Scalar>::isApprox(v3.dot(s1 * v1 + s2 * v2), NumTraits<Scalar>::conj(s1) * v3.dot(v1) + NumTraits<Scalar>::conj(s2) * v3.dot(v2)));
QVERIFY(NumTraits<Scalar>::isApprox(NumTraits<Scalar>::conj(v1.dot(v2)), v2.dot(v1)));
QVERIFY(NumTraits<RealScalar>::isApprox(abs(v1.dot(v1)), v1.norm2()));
if(NumTraits<Scalar>::HasFloatingPoint) QVERIFY(NumTraits<RealScalar>::isApprox(v1.norm2(), v1.norm() * v1.norm()));
QVERIFY(NumTraits<RealScalar>::isMuchSmallerThan(abs(vzero.dot(v1)), 1));
QVERIFY(NumTraits<RealScalar>::isMuchSmallerThan(vzero.norm(), 1));
QVERIFY(isApprox((s1 * v1 + s2 * v2).dot(v3), s1 * v1.dot(v3) + s2 * v2.dot(v3)));
QVERIFY(isApprox(v3.dot(s1 * v1 + s2 * v2), conj(s1) * v3.dot(v1) + conj(s2) * v3.dot(v2)));
QVERIFY(isApprox(conj(v1.dot(v2)), v2.dot(v1)));
QVERIFY(isApprox(abs(v1.dot(v1)), v1.norm2()));
if(NumTraits<Scalar>::HasFloatingPoint)
QVERIFY(isApprox(v1.norm2(), v1.norm() * v1.norm()));
QVERIFY(isMuchSmallerThan(abs(vzero.dot(v1)), static_cast<RealScalar>(1)));
if(NumTraits<Scalar>::HasFloatingPoint)
QVERIFY(isMuchSmallerThan(vzero.norm(), static_cast<RealScalar>(1)));
// check compatibility of dot and adjoint
QVERIFY(NumTraits<Scalar>::isApprox(v1.dot(square * v2), (square.adjoint() * v1).dot(v2)));
QVERIFY(isApprox(v1.dot(square * v2), (square.adjoint() * v1).dot(v2)));
}
void EigenTest::testAdjoint()
{
adjoint(Matrix<float, 1, 1>());
adjoint(Matrix<complex<double>, 4, 4>());
adjoint(Matrix4cd());
adjoint(MatrixXcf(3, 3));
adjoint(MatrixXi(8, 12));
adjoint(MatrixXd(20, 20));
}
} // namespace Eigen