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128 lines
6.3 KiB
C++
128 lines
6.3 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) 2006-2008 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 MatrixType> void product_extra(const MatrixType& m)
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{
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typedef typename MatrixType::Index Index;
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::NonInteger NonInteger;
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typedef Matrix<Scalar, 1, Dynamic> RowVectorType;
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typedef Matrix<Scalar, Dynamic, 1> ColVectorType;
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typedef Matrix<Scalar, Dynamic, Dynamic,
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MatrixType::Flags&RowMajorBit> OtherMajorMatrixType;
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Index rows = m.rows();
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Index cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols),
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m3(rows, cols),
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mzero = MatrixType::Zero(rows, cols),
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identity = MatrixType::Identity(rows, rows),
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square = MatrixType::Random(rows, rows),
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res = MatrixType::Random(rows, rows),
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square2 = MatrixType::Random(cols, cols),
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res2 = MatrixType::Random(cols, cols);
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RowVectorType v1 = RowVectorType::Random(rows), vrres(rows);
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ColVectorType vc2 = ColVectorType::Random(cols), vcres(cols);
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OtherMajorMatrixType tm1 = m1;
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Scalar s1 = ei_random<Scalar>(),
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s2 = ei_random<Scalar>(),
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s3 = ei_random<Scalar>();
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VERIFY_IS_APPROX(m3.noalias() = m1 * m2.adjoint(), m1 * m2.adjoint().eval());
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VERIFY_IS_APPROX(m3.noalias() = m1.adjoint() * square.adjoint(), m1.adjoint().eval() * square.adjoint().eval());
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VERIFY_IS_APPROX(m3.noalias() = m1.adjoint() * m2, m1.adjoint().eval() * m2);
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VERIFY_IS_APPROX(m3.noalias() = (s1 * m1.adjoint()) * m2, (s1 * m1.adjoint()).eval() * m2);
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VERIFY_IS_APPROX(m3.noalias() = ((s1 * m1).adjoint()) * m2, (ei_conj(s1) * m1.adjoint()).eval() * m2);
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VERIFY_IS_APPROX(m3.noalias() = (- m1.adjoint() * s1) * (s3 * m2), (- m1.adjoint() * s1).eval() * (s3 * m2).eval());
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VERIFY_IS_APPROX(m3.noalias() = (s2 * m1.adjoint() * s1) * m2, (s2 * m1.adjoint() * s1).eval() * m2);
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VERIFY_IS_APPROX(m3.noalias() = (-m1*s2) * s1*m2.adjoint(), (-m1*s2).eval() * (s1*m2.adjoint()).eval());
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// a very tricky case where a scale factor has to be automatically conjugated:
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VERIFY_IS_APPROX( m1.adjoint() * (s1*m2).conjugate(), (m1.adjoint()).eval() * ((s1*m2).conjugate()).eval());
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// test all possible conjugate combinations for the four matrix-vector product cases:
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VERIFY_IS_APPROX((-m1.conjugate() * s2) * (s1 * vc2),
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(-m1.conjugate()*s2).eval() * (s1 * vc2).eval());
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VERIFY_IS_APPROX((-m1 * s2) * (s1 * vc2.conjugate()),
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(-m1*s2).eval() * (s1 * vc2.conjugate()).eval());
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VERIFY_IS_APPROX((-m1.conjugate() * s2) * (s1 * vc2.conjugate()),
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(-m1.conjugate()*s2).eval() * (s1 * vc2.conjugate()).eval());
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VERIFY_IS_APPROX((s1 * vc2.transpose()) * (-m1.adjoint() * s2),
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(s1 * vc2.transpose()).eval() * (-m1.adjoint()*s2).eval());
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VERIFY_IS_APPROX((s1 * vc2.adjoint()) * (-m1.transpose() * s2),
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(s1 * vc2.adjoint()).eval() * (-m1.transpose()*s2).eval());
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VERIFY_IS_APPROX((s1 * vc2.adjoint()) * (-m1.adjoint() * s2),
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(s1 * vc2.adjoint()).eval() * (-m1.adjoint()*s2).eval());
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VERIFY_IS_APPROX((-m1.adjoint() * s2) * (s1 * v1.transpose()),
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(-m1.adjoint()*s2).eval() * (s1 * v1.transpose()).eval());
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VERIFY_IS_APPROX((-m1.transpose() * s2) * (s1 * v1.adjoint()),
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(-m1.transpose()*s2).eval() * (s1 * v1.adjoint()).eval());
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VERIFY_IS_APPROX((-m1.adjoint() * s2) * (s1 * v1.adjoint()),
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(-m1.adjoint()*s2).eval() * (s1 * v1.adjoint()).eval());
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VERIFY_IS_APPROX((s1 * v1) * (-m1.conjugate() * s2),
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(s1 * v1).eval() * (-m1.conjugate()*s2).eval());
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VERIFY_IS_APPROX((s1 * v1.conjugate()) * (-m1 * s2),
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(s1 * v1.conjugate()).eval() * (-m1*s2).eval());
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VERIFY_IS_APPROX((s1 * v1.conjugate()) * (-m1.conjugate() * s2),
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(s1 * v1.conjugate()).eval() * (-m1.conjugate()*s2).eval());
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VERIFY_IS_APPROX((-m1.adjoint() * s2) * (s1 * v1.adjoint()),
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(-m1.adjoint()*s2).eval() * (s1 * v1.adjoint()).eval());
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// test the vector-matrix product with non aligned starts
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Index i = ei_random<Index>(0,m1.rows()-2);
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Index j = ei_random<Index>(0,m1.cols()-2);
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Index r = ei_random<Index>(1,m1.rows()-i);
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Index c = ei_random<Index>(1,m1.cols()-j);
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Index i2 = ei_random<Index>(0,m1.rows()-1);
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Index j2 = ei_random<Index>(0,m1.cols()-1);
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VERIFY_IS_APPROX(m1.col(j2).adjoint() * m1.block(0,j,m1.rows(),c), m1.col(j2).adjoint().eval() * m1.block(0,j,m1.rows(),c).eval());
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VERIFY_IS_APPROX(m1.block(i,0,r,m1.cols()) * m1.row(i2).adjoint(), m1.block(i,0,r,m1.cols()).eval() * m1.row(i2).adjoint().eval());
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// regression test
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MatrixType tmp = m1 * m1.adjoint() * s1;
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VERIFY_IS_APPROX(tmp, m1 * m1.adjoint() * s1);
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}
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void test_product_extra()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( product_extra(MatrixXf(ei_random<int>(1,320), ei_random<int>(1,320))) );
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CALL_SUBTEST_2( product_extra(MatrixXd(ei_random<int>(1,320), ei_random<int>(1,320))) );
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CALL_SUBTEST_3( product_extra(MatrixXcf(ei_random<int>(1,150), ei_random<int>(1,150))) );
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CALL_SUBTEST_4( product_extra(MatrixXcd(ei_random<int>(1,150), ei_random<int>(1,150))) );
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}
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}
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