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Diffstat (limited to 'eigen/test/eigen2/eigen2_determinant.cpp')
-rw-r--r-- | eigen/test/eigen2/eigen2_determinant.cpp | 61 |
1 files changed, 61 insertions, 0 deletions
diff --git a/eigen/test/eigen2/eigen2_determinant.cpp b/eigen/test/eigen2/eigen2_determinant.cpp new file mode 100644 index 0000000..c7b4ad0 --- /dev/null +++ b/eigen/test/eigen2/eigen2_determinant.cpp @@ -0,0 +1,61 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. Eigen itself is part of the KDE project. +// +// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com> +// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr> +// +// 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 <Eigen/LU> + +template<typename MatrixType> void determinant(const MatrixType& m) +{ + /* this test covers the following files: + Determinant.h + */ + int size = m.rows(); + + MatrixType m1(size, size), m2(size, size); + m1.setRandom(); + m2.setRandom(); + typedef typename MatrixType::Scalar Scalar; + Scalar x = ei_random<Scalar>(); + VERIFY_IS_APPROX(MatrixType::Identity(size, size).determinant(), Scalar(1)); + VERIFY_IS_APPROX((m1*m2).determinant(), m1.determinant() * m2.determinant()); + if(size==1) return; + int i = ei_random<int>(0, size-1); + int j; + do { + j = ei_random<int>(0, size-1); + } while(j==i); + m2 = m1; + m2.row(i).swap(m2.row(j)); + VERIFY_IS_APPROX(m2.determinant(), -m1.determinant()); + m2 = m1; + m2.col(i).swap(m2.col(j)); + VERIFY_IS_APPROX(m2.determinant(), -m1.determinant()); + VERIFY_IS_APPROX(m2.determinant(), m2.transpose().determinant()); + VERIFY_IS_APPROX(ei_conj(m2.determinant()), m2.adjoint().determinant()); + m2 = m1; + m2.row(i) += x*m2.row(j); + VERIFY_IS_APPROX(m2.determinant(), m1.determinant()); + m2 = m1; + m2.row(i) *= x; + VERIFY_IS_APPROX(m2.determinant(), m1.determinant() * x); +} + +void test_eigen2_determinant() +{ + for(int i = 0; i < g_repeat; i++) { + CALL_SUBTEST_1( determinant(Matrix<float, 1, 1>()) ); + CALL_SUBTEST_2( determinant(Matrix<double, 2, 2>()) ); + CALL_SUBTEST_3( determinant(Matrix<double, 3, 3>()) ); + CALL_SUBTEST_4( determinant(Matrix<double, 4, 4>()) ); + CALL_SUBTEST_5( determinant(Matrix<std::complex<double>, 10, 10>()) ); + CALL_SUBTEST_6( determinant(MatrixXd(20, 20)) ); + } + CALL_SUBTEST_6( determinant(MatrixXd(200, 200)) ); +} |