diff options
Diffstat (limited to 'unsupported/test/matrix_square_root.cpp')
-rw-r--r-- | unsupported/test/matrix_square_root.cpp | 62 |
1 files changed, 62 insertions, 0 deletions
diff --git a/unsupported/test/matrix_square_root.cpp b/unsupported/test/matrix_square_root.cpp new file mode 100644 index 000000000..508619a7a --- /dev/null +++ b/unsupported/test/matrix_square_root.cpp @@ -0,0 +1,62 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2011 Jitse Niesen <jitse@maths.leeds.ac.uk> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#include "main.h" +#include <unsupported/Eigen/MatrixFunctions> + +template <typename MatrixType, int IsComplex = NumTraits<typename internal::traits<MatrixType>::Scalar>::IsComplex> +struct generateTestMatrix; + +// for real matrices, make sure none of the eigenvalues are negative +template <typename MatrixType> +struct generateTestMatrix<MatrixType,0> +{ + static void run(MatrixType& result, typename MatrixType::Index size) + { + MatrixType mat = MatrixType::Random(size, size); + EigenSolver<MatrixType> es(mat); + typename EigenSolver<MatrixType>::EigenvalueType eivals = es.eigenvalues(); + for (typename MatrixType::Index i = 0; i < size; ++i) { + if (eivals(i).imag() == 0 && eivals(i).real() < 0) + eivals(i) = -eivals(i); + } + result = (es.eigenvectors() * eivals.asDiagonal() * es.eigenvectors().inverse()).real(); + } +}; + +// for complex matrices, any matrix is fine +template <typename MatrixType> +struct generateTestMatrix<MatrixType,1> +{ + static void run(MatrixType& result, typename MatrixType::Index size) + { + result = MatrixType::Random(size, size); + } +}; + +template<typename MatrixType> +void testMatrixSqrt(const MatrixType& m) +{ + MatrixType A; + generateTestMatrix<MatrixType>::run(A, m.rows()); + MatrixType sqrtA = A.sqrt(); + VERIFY_IS_APPROX(sqrtA * sqrtA, A); +} + +void test_matrix_square_root() +{ + for (int i = 0; i < g_repeat; i++) { + CALL_SUBTEST_1(testMatrixSqrt(Matrix3cf())); + CALL_SUBTEST_2(testMatrixSqrt(MatrixXcd(12,12))); + CALL_SUBTEST_3(testMatrixSqrt(Matrix4f())); + CALL_SUBTEST_4(testMatrixSqrt(Matrix<double,Dynamic,Dynamic,RowMajor>(9, 9))); + CALL_SUBTEST_5(testMatrixSqrt(Matrix<float,1,1>())); + CALL_SUBTEST_5(testMatrixSqrt(Matrix<std::complex<float>,1,1>())); + } +} |