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matrix_function test: replace expm(A).inverse() by expm(-A)

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The latter is more stable. This fixes one of the issues with the test.
Also, make typedef's in MatrixFunctionReturnValue public; this is
necessary to get the test to compile.
This commit is contained in:
Jitse Niesen
2010-02-20 14:45:50 +00:00
parent 4f8773c23a
commit 67ce07ea83
2 changed files with 8 additions and 10 deletions
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12
unsupported/test/matrix_function.cpp
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@@ -109,11 +109,10 @@ template<typename MatrixType>
void testHyperbolicFunctions(const MatrixType& A)
{
for (int i = 0; i < g_repeat; i++) {
MatrixType sinhA = ei_matrix_sinh(A);
MatrixType coshA = ei_matrix_cosh(A);
MatrixType expA = ei_matrix_exponential(A);
VERIFY_IS_APPROX(sinhA, (expA - expA.inverse())/2);
VERIFY_IS_APPROX(coshA, (expA + expA.inverse())/2);
MatrixType expmA = ei_matrix_exponential(-A);
VERIFY_IS_APPROX(ei_matrix_sinh(A), (expA - expmA) / 2);
VERIFY_IS_APPROX(ei_matrix_cosh(A), (expA + expmA) / 2);
}
}
@@ -134,14 +133,15 @@ void testGonioFunctions(const MatrixType& A)
ComplexMatrix Ac = A.template cast<ComplexScalar>();
ComplexMatrix exp_iA = ei_matrix_exponential(imagUnit * Ac);
ComplexMatrix exp_miA = ei_matrix_exponential(-imagUnit * Ac);
MatrixType sinA = ei_matrix_sin(A);
ComplexMatrix sinAc = sinA.template cast<ComplexScalar>();
VERIFY_IS_APPROX(sinAc, (exp_iA - exp_iA.inverse()) / (two*imagUnit));
VERIFY_IS_APPROX(sinAc, (exp_iA - exp_miA) / (two*imagUnit));
MatrixType cosA = ei_matrix_cos(A);
ComplexMatrix cosAc = cosA.template cast<ComplexScalar>();
VERIFY_IS_APPROX(cosAc, (exp_iA + exp_iA.inverse()) / 2);
VERIFY_IS_APPROX(cosAc, (exp_iA + exp_miA) / 2);
}
}