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67 lines
2.2 KiB
C++
67 lines
2.2 KiB
C++
// 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) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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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 <Eigen/LU>
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template<typename MatrixType> void determinant(const MatrixType& m)
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{
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/* this test covers the following files:
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Determinant.h
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*/
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Index size = m.rows();
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MatrixType m1(size, size), m2(size, size);
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m1.setRandom();
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m2.setRandom();
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typedef typename MatrixType::Scalar Scalar;
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Scalar x = internal::random<Scalar>();
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VERIFY_IS_APPROX(MatrixType::Identity(size, size).determinant(), Scalar(1));
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VERIFY_IS_APPROX((m1*m2).eval().determinant(), m1.determinant() * m2.determinant());
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if(size==1) return;
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Index i = internal::random<Index>(0, size-1);
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Index j;
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do {
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j = internal::random<Index>(0, size-1);
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} while(j==i);
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m2 = m1;
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m2.row(i).swap(m2.row(j));
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VERIFY_IS_APPROX(m2.determinant(), -m1.determinant());
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m2 = m1;
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m2.col(i).swap(m2.col(j));
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VERIFY_IS_APPROX(m2.determinant(), -m1.determinant());
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VERIFY_IS_APPROX(m2.determinant(), m2.transpose().determinant());
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VERIFY_IS_APPROX(numext::conj(m2.determinant()), m2.adjoint().determinant());
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m2 = m1;
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m2.row(i) += x*m2.row(j);
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VERIFY_IS_APPROX(m2.determinant(), m1.determinant());
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m2 = m1;
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m2.row(i) *= x;
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VERIFY_IS_APPROX(m2.determinant(), m1.determinant() * x);
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// check empty matrix
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VERIFY_IS_APPROX(m2.block(0,0,0,0).determinant(), Scalar(1));
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}
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void test_determinant()
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{
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for(int i = 0; i < g_repeat; i++) {
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int s = 0;
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CALL_SUBTEST_1( determinant(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( determinant(Matrix<double, 2, 2>()) );
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CALL_SUBTEST_3( determinant(Matrix<double, 3, 3>()) );
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CALL_SUBTEST_4( determinant(Matrix<double, 4, 4>()) );
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CALL_SUBTEST_5( determinant(Matrix<std::complex<double>, 10, 10>()) );
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s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4);
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CALL_SUBTEST_6( determinant(MatrixXd(s, s)) );
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TEST_SET_BUT_UNUSED_VARIABLE(s)
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}
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}
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