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118 lines
5.0 KiB
C++
118 lines
5.0 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) 2008-2009 Gael Guennebaud <gael.guennebaud@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<int OtherSize> struct symm_extra {
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template<typename M1, typename M2, typename Scalar>
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static void run(M1& m1, M1& m2, M2& rhs2, M2& rhs22, M2& rhs23, Scalar s1, Scalar s2)
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{
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m2 = m1.template triangularView<LowerTriangular>();
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VERIFY_IS_APPROX(rhs22 = (rhs2) * (m2).template selfadjointView<LowerTriangular>(),
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rhs23 = (rhs2) * (m1));
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VERIFY_IS_APPROX(rhs22 = (s2*rhs2) * (s1*m2).template selfadjointView<LowerTriangular>(),
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rhs23 = (s2*rhs2) * (s1*m1));
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}
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};
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template<> struct symm_extra<1> {
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template<typename M1, typename M2, typename Scalar>
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static void run(M1&, M1&, M2&, M2&, M2&, Scalar, Scalar) {}
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};
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template<typename Scalar, int Size, int OtherSize> void symm(int size = Size, int othersize = OtherSize)
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{
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, Size, Size> MatrixType;
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typedef Matrix<Scalar, Size, OtherSize> Rhs1;
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typedef Matrix<Scalar, OtherSize, Size> Rhs2;
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typedef Matrix<Scalar, Size, OtherSize,RowMajor> Rhs3;
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int rows = size;
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int cols = size;
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols);
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m1 = (m1+m1.adjoint()).eval();
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Rhs1 rhs1 = Rhs1::Random(cols, othersize), rhs12(cols, othersize), rhs13(cols, othersize);
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Rhs2 rhs2 = Rhs2::Random(othersize, rows), rhs22(othersize, rows), rhs23(othersize, rows);
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Rhs3 rhs3 = Rhs3::Random(cols, othersize), rhs32(cols, othersize), rhs33(cols, othersize);
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Scalar s1 = ei_random<Scalar>(),
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s2 = ei_random<Scalar>();
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m2 = m1.template triangularView<LowerTriangular>();
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VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs1),
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rhs13 = (s1*m1) * (s2*rhs1));
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m2 = m1.template triangularView<UpperTriangular>(); rhs12.setRandom(); rhs13 = rhs12;
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VERIFY_IS_APPROX(rhs12 += (s1*m2).template selfadjointView<UpperTriangular>() * (s2*rhs1),
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rhs13 += (s1*m1) * (s2*rhs1));
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m2 = m1.template triangularView<LowerTriangular>();
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VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs2.adjoint()),
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rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
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m2 = m1.template triangularView<UpperTriangular>();
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VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<UpperTriangular>() * (s2*rhs2.adjoint()),
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rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
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m2 = m1.template triangularView<UpperTriangular>();
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VERIFY_IS_APPROX(rhs12 = (s1*m2.adjoint()).template selfadjointView<LowerTriangular>() * (s2*rhs2.adjoint()),
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rhs13 = (s1*m1.adjoint()) * (s2*rhs2.adjoint()));
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// test row major = <...>
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m2 = m1.template triangularView<LowerTriangular>(); rhs12.setRandom(); rhs13 = rhs12;
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VERIFY_IS_APPROX(rhs12 -= (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs3),
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rhs13 -= (s1*m1) * (s2 * rhs3));
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m2 = m1.template triangularView<UpperTriangular>();
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VERIFY_IS_APPROX(rhs12 = (s1*m2.adjoint()).template selfadjointView<LowerTriangular>() * (s2*rhs3).conjugate(),
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rhs13 = (s1*m1.adjoint()) * (s2*rhs3).conjugate());
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m2 = m1.template triangularView<UpperTriangular>(); rhs13 = rhs12;
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VERIFY_IS_APPROX(rhs12 += (s1 * ((m2.adjoint()).template selfadjointView<LowerTriangular>() * (s2*rhs3).conjugate())).lazy(),
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rhs13 += (s1*m1.adjoint()) * (s2*rhs3).conjugate());
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// test matrix * selfadjoint
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symm_extra<OtherSize>::run(m1,m2,rhs2,rhs22,rhs23,s1,s2);
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}
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void test_product_symm()
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{
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for(int i = 0; i < g_repeat ; i++)
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{
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CALL_SUBTEST(( symm<float,Dynamic,Dynamic>(ei_random<int>(10,320),ei_random<int>(10,320)) ));
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CALL_SUBTEST(( symm<std::complex<double>,Dynamic,Dynamic>(ei_random<int>(10,320),ei_random<int>(10,320)) ));
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CALL_SUBTEST(( symm<float,Dynamic,1>(ei_random<int>(10,320)) ));
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CALL_SUBTEST(( symm<std::complex<double>,Dynamic,1>(ei_random<int>(10,320)) ));
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}
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}
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