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122 lines
4.2 KiB
C++
122 lines
4.2 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) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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template<typename PermutationVectorType>
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void randomPermutationVector(PermutationVectorType& v, int size)
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{
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typedef typename PermutationVectorType::Scalar Scalar;
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v.resize(size);
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for(int i = 0; i < size; ++i) v(i) = Scalar(i);
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if(size == 1) return;
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for(int n = 0; n < 3 * size; ++n)
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{
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int i = ei_random<int>(0, size-1);
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int j;
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do j = ei_random<int>(0, size-1); while(j==i);
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std::swap(v(i), v(j));
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}
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}
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using namespace std;
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template<typename MatrixType> void permutationmatrices(const MatrixType& m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename MatrixType::RealScalar RealScalar;
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enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime,
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Options = MatrixType::Options };
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typedef PermutationMatrix<Rows> LeftPermutationType;
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typedef Matrix<int, Rows, 1> LeftPermutationVectorType;
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typedef PermutationMatrix<Cols> RightPermutationType;
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typedef Matrix<int, Cols, 1> RightPermutationVectorType;
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int rows = m.rows();
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int cols = m.cols();
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MatrixType m_original = MatrixType::Random(rows,cols);
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LeftPermutationVectorType lv;
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randomPermutationVector(lv, rows);
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LeftPermutationType lp(lv);
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RightPermutationVectorType rv;
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randomPermutationVector(rv, cols);
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RightPermutationType rp(rv);
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MatrixType m_permuted = lp * m_original * rp;
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for (int i=0; i<rows; i++)
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for (int j=0; j<cols; j++)
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VERIFY_IS_APPROX(m_permuted(lv(i),j), m_original(i,rv(j)));
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Matrix<Scalar,Rows,Rows> lm(lp);
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Matrix<Scalar,Cols,Cols> rm(rp);
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VERIFY_IS_APPROX(m_permuted, lm*m_original*rm);
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VERIFY_IS_APPROX(lp.inverse()*m_permuted*rp.inverse(), m_original);
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VERIFY((lp*lp.inverse()).toDenseMatrix().isIdentity());
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LeftPermutationVectorType lv2;
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randomPermutationVector(lv2, rows);
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LeftPermutationType lp2(lv2);
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Matrix<Scalar,Rows,Rows> lm2(lp2);
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VERIFY_IS_APPROX((lp*lp2).toDenseMatrix().template cast<Scalar>(), lm*lm2);
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LeftPermutationType identityp;
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identityp.setIdentity(rows);
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VERIFY_IS_APPROX(m_original, identityp*m_original);
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if(rows>1 && cols>1)
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{
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lp2 = lp;
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int i = ei_random<int>(0, rows-1);
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int j;
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do j = ei_random<int>(0, rows-1); while(j==i);
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lp2.applyTranspositionOnTheLeft(i, j);
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lm = lp;
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lm.row(i).swap(lm.row(j));
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VERIFY_IS_APPROX(lm, lp2.toDenseMatrix().template cast<Scalar>());
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RightPermutationType rp2 = rp;
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i = ei_random<int>(0, cols-1);
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do j = ei_random<int>(0, cols-1); while(j==i);
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rp2.applyTranspositionOnTheRight(i, j);
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rm = rp;
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rm.col(i).swap(rm.col(j));
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VERIFY_IS_APPROX(rm, rp2.toDenseMatrix().template cast<Scalar>());
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}
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}
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void test_permutationmatrices()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( permutationmatrices(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( permutationmatrices(Matrix3f()) );
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CALL_SUBTEST_3( permutationmatrices(Matrix<double,3,3,RowMajor>()) );
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CALL_SUBTEST_4( permutationmatrices(Matrix4d()) );
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CALL_SUBTEST_5( permutationmatrices(Matrix<double,4,6>()) );
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CALL_SUBTEST_6( permutationmatrices(Matrix<double,Dynamic,Dynamic,RowMajor>(20, 30)) );
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CALL_SUBTEST_7( permutationmatrices(MatrixXcf(15, 10)) );
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}
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}
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