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- // This file is part of Eigen, a lightweight C++ template library
- // for linear algebra.
- //
- // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.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"
- template<typename Scalar, int Size, int OtherSize> void symm(int size = Size, int othersize = OtherSize)
- {
- typedef Matrix<Scalar, Size, Size> MatrixType;
- typedef Matrix<Scalar, Size, OtherSize> Rhs1;
- typedef Matrix<Scalar, OtherSize, Size> Rhs2;
- enum { order = OtherSize==1 ? 0 : RowMajor };
- typedef Matrix<Scalar, Size, OtherSize,order> Rhs3;
- Index rows = size;
- Index cols = size;
- MatrixType m1 = MatrixType::Random(rows, cols),
- m2 = MatrixType::Random(rows, cols), m3;
- m1 = (m1+m1.adjoint()).eval();
- Rhs1 rhs1 = Rhs1::Random(cols, othersize), rhs12(cols, othersize), rhs13(cols, othersize);
- Rhs2 rhs2 = Rhs2::Random(othersize, rows), rhs22(othersize, rows), rhs23(othersize, rows);
- Rhs3 rhs3 = Rhs3::Random(cols, othersize), rhs32(cols, othersize), rhs33(cols, othersize);
- Scalar s1 = internal::random<Scalar>(),
- s2 = internal::random<Scalar>();
- m2 = m1.template triangularView<Lower>();
- m3 = m2.template selfadjointView<Lower>();
- VERIFY_IS_EQUAL(m1, m3);
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>() * (s2*rhs1),
- rhs13 = (s1*m1) * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).transpose().template selfadjointView<Upper>() * (s2*rhs1),
- rhs13 = (s1*m1.transpose()) * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>().transpose() * (s2*rhs1),
- rhs13 = (s1*m1.transpose()) * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).conjugate().template selfadjointView<Lower>() * (s2*rhs1),
- rhs13 = (s1*m1).conjugate() * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>().conjugate() * (s2*rhs1),
- rhs13 = (s1*m1).conjugate() * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).adjoint().template selfadjointView<Upper>() * (s2*rhs1),
- rhs13 = (s1*m1).adjoint() * (s2*rhs1));
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>().adjoint() * (s2*rhs1),
- rhs13 = (s1*m1).adjoint() * (s2*rhs1));
- m2 = m1.template triangularView<Upper>(); rhs12.setRandom(); rhs13 = rhs12;
- m3 = m2.template selfadjointView<Upper>();
- VERIFY_IS_EQUAL(m1, m3);
- VERIFY_IS_APPROX(rhs12 += (s1*m2).template selfadjointView<Upper>() * (s2*rhs1),
- rhs13 += (s1*m1) * (s2*rhs1));
- m2 = m1.template triangularView<Lower>();
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>() * (s2*rhs2.adjoint()),
- rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
- m2 = m1.template triangularView<Upper>();
- VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Upper>() * (s2*rhs2.adjoint()),
- rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
- m2 = m1.template triangularView<Upper>();
- VERIFY_IS_APPROX(rhs12 = (s1*m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs2.adjoint()),
- rhs13 = (s1*m1.adjoint()) * (s2*rhs2.adjoint()));
- // test row major = <...>
- m2 = m1.template triangularView<Lower>(); rhs32.setRandom(); rhs13 = rhs32;
- VERIFY_IS_APPROX(rhs32.noalias() -= (s1*m2).template selfadjointView<Lower>() * (s2*rhs3),
- rhs13 -= (s1*m1) * (s2 * rhs3));
- m2 = m1.template triangularView<Upper>();
- VERIFY_IS_APPROX(rhs32.noalias() = (s1*m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs3).conjugate(),
- rhs13 = (s1*m1.adjoint()) * (s2*rhs3).conjugate());
- m2 = m1.template triangularView<Upper>(); rhs13 = rhs12;
- VERIFY_IS_APPROX(rhs12.noalias() += s1 * ((m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs3).conjugate()),
- rhs13 += (s1*m1.adjoint()) * (s2*rhs3).conjugate());
- m2 = m1.template triangularView<Lower>();
- VERIFY_IS_APPROX(rhs22 = (rhs2) * (m2).template selfadjointView<Lower>(), rhs23 = (rhs2) * (m1));
- VERIFY_IS_APPROX(rhs22 = (s2*rhs2) * (s1*m2).template selfadjointView<Lower>(), rhs23 = (s2*rhs2) * (s1*m1));
- // destination with a non-default inner-stride
- // see bug 1741
- {
- typedef Matrix<Scalar,Dynamic,Dynamic> MatrixX;
- MatrixX buffer(2*cols,2*othersize);
- Map<Rhs1,0,Stride<Dynamic,2> > map1(buffer.data(),cols,othersize,Stride<Dynamic,2>(2*rows,2));
- buffer.setZero();
- VERIFY_IS_APPROX( map1.noalias() = (s1*m2).template selfadjointView<Lower>() * (s2*rhs1),
- rhs13 = (s1*m1) * (s2*rhs1));
- Map<Rhs2,0,Stride<Dynamic,2> > map2(buffer.data(),rhs22.rows(),rhs22.cols(),Stride<Dynamic,2>(2*rhs22.outerStride(),2));
- buffer.setZero();
- VERIFY_IS_APPROX(map2 = (rhs2) * (m2).template selfadjointView<Lower>(), rhs23 = (rhs2) * (m1));
- }
- }
- EIGEN_DECLARE_TEST(product_symm)
- {
- for(int i = 0; i < g_repeat ; i++)
- {
- CALL_SUBTEST_1(( symm<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- CALL_SUBTEST_2(( symm<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- CALL_SUBTEST_3(( symm<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2)) ));
- CALL_SUBTEST_4(( symm<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2)) ));
- CALL_SUBTEST_5(( symm<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- CALL_SUBTEST_6(( symm<double,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- CALL_SUBTEST_7(( symm<std::complex<float>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- CALL_SUBTEST_8(( symm<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
- }
- }
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