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Added zeta function.

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Till Hoffmann
2016-04-01 13:32:29 +01:00
parent af4ef540bf
commit dd5d390daf
9 changed files with 256 additions and 0 deletions
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9
test/array.cpp
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@@ -322,6 +322,15 @@ template<typename ArrayType> void array_real(const ArrayType& m)
std::numeric_limits<RealScalar>::infinity());
VERIFY_IS_EQUAL(numext::digamma(Scalar(-1)),
std::numeric_limits<RealScalar>::infinity());
// Check the zeta function against scipy.special.zeta
VERIFY_IS_APPROX(numext::zeta(Scalar(1.5), Scalar(2)), RealScalar(1.61237534869));
VERIFY_IS_APPROX(numext::zeta(Scalar(4), Scalar(1.5)), RealScalar(0.234848505667));
VERIFY_IS_APPROX(numext::zeta(Scalar(10.5), Scalar(3)), RealScalar(1.03086757337e-5));
VERIFY_IS_APPROX(numext::zeta(Scalar(10000.5), Scalar(1.0001)), RealScalar(0.367879440865));
VERIFY_IS_APPROX(numext::zeta(Scalar(3), Scalar(-2.5)), RealScalar(0.054102025820864097));
VERIFY_IS_EQUAL(numext::zeta(Scalar(1), Scalar(1.2345)), // The second scalar does not matter
std::numeric_limits<RealScalar>::infinity());
{
// Test various propreties of igamma & igammac. These are normalized