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