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Rework the unit-tests to use lower precision, so as to eliminate

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false positives. Also some cleanup in the fuzzy compares.
This commit is contained in:
Benoit Jacob
2007-12-03 10:23:08 +00:00
parent 5abaaf9688
commit 346c00f4c8
6 changed files with 143 additions and 92 deletions
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41
test/adjoint.cpp
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@@ -55,37 +55,38 @@ template<typename MatrixType> void adjoint(const MatrixType& m)
s2 = random<Scalar>();
// check involutivity of adjoint, transpose, conjugate
QVERIFY(m1.transpose().transpose().isApprox(m1));
QVERIFY(m1.conjugate().conjugate().isApprox(m1));
QVERIFY(m1.adjoint().adjoint().isApprox(m1));
VERIFY_IS_APPROX(m1.transpose().transpose(), m1);
VERIFY_IS_APPROX(m1.conjugate().conjugate(), m1);
VERIFY_IS_APPROX(m1.adjoint().adjoint(), m1);
// check basic compatibility of adjoint, transpose, conjugate
QVERIFY(m1.transpose().conjugate().adjoint().isApprox(m1));
QVERIFY(m1.adjoint().conjugate().transpose().isApprox(m1));
if(!NumTraits<Scalar>::IsComplex) QVERIFY(m1.adjoint().transpose().isApprox(m1));
VERIFY_IS_APPROX(m1.transpose().conjugate().adjoint(), m1);
VERIFY_IS_APPROX(m1.adjoint().conjugate().transpose(), m1);
if(!NumTraits<Scalar>::IsComplex)
VERIFY_IS_APPROX(m1.adjoint().transpose(), m1);
// check multiplicative behavior
QVERIFY((m1.transpose() * m2).transpose().isApprox(m2.transpose() * m1));
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(conj(s1) * m1.conjugate()));
QVERIFY((s1 * m1).adjoint().isApprox(conj(s1) * m1.adjoint()));
VERIFY_IS_APPROX((m1.transpose() * m2).transpose(), m2.transpose() * m1);
VERIFY_IS_APPROX((m1.adjoint() * m2).adjoint(), m2.adjoint() * m1);
VERIFY_IS_APPROX((m1.transpose() * m2).conjugate(), m1.adjoint() * m2.conjugate());
VERIFY_IS_APPROX((s1 * m1).transpose(), s1 * m1.transpose());
VERIFY_IS_APPROX((s1 * m1).conjugate(), conj(s1) * m1.conjugate());
VERIFY_IS_APPROX((s1 * m1).adjoint(), conj(s1) * m1.adjoint());
// check basic properties of dot, norm, norm2
typedef typename NumTraits<Scalar>::Real RealScalar;
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()));
VERIFY_IS_APPROX((s1 * v1 + s2 * v2).dot(v3), s1 * v1.dot(v3) + s2 * v2.dot(v3));
VERIFY_IS_APPROX(v3.dot(s1 * v1 + s2 * v2), conj(s1)*v3.dot(v1)+conj(s2)*v3.dot(v2));
VERIFY_IS_APPROX(conj(v1.dot(v2)), v2.dot(v1));
VERIFY_IS_APPROX(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)));
VERIFY_IS_APPROX(v1.norm2(), v1.norm() * v1.norm());
VERIFY_IS_MUCH_SMALLER_THAN(abs(vzero.dot(v1)), static_cast<RealScalar>(1));
if(NumTraits<Scalar>::HasFloatingPoint)
QVERIFY(isMuchSmallerThan(vzero.norm(), static_cast<RealScalar>(1)));
VERIFY_IS_MUCH_SMALLER_THAN(vzero.norm(), static_cast<RealScalar>(1));
// check compatibility of dot and adjoint
QVERIFY(isApprox(v1.dot(square * v2), (square.adjoint() * v1).dot(v2)));
VERIFY_IS_APPROX(v1.dot(square * v2), (square.adjoint() * v1).dot(v2));
}
void EigenTest::testAdjoint()