1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
5//
6// This Source Code Form is subject to the terms of the Mozilla
7// Public License v. 2.0. If a copy of the MPL was not distributed
8// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9
10#include "main.h"
11
12template<typename Scalar, int Size, int OtherSize> void symm(int size = Size, int othersize = OtherSize)
13{
14  typedef typename NumTraits<Scalar>::Real RealScalar;
15
16  typedef Matrix<Scalar, Size, Size> MatrixType;
17  typedef Matrix<Scalar, Size, OtherSize> Rhs1;
18  typedef Matrix<Scalar, OtherSize, Size> Rhs2;
19  enum { order = OtherSize==1 ? 0 : RowMajor };
20  typedef Matrix<Scalar, Size, OtherSize,order> Rhs3;
21  typedef typename MatrixType::Index Index;
22
23  Index rows = size;
24  Index cols = size;
25
26  MatrixType m1 = MatrixType::Random(rows, cols),
27             m2 = MatrixType::Random(rows, cols), m3;
28
29  m1 = (m1+m1.adjoint()).eval();
30
31  Rhs1 rhs1 = Rhs1::Random(cols, othersize), rhs12(cols, othersize), rhs13(cols, othersize);
32  Rhs2 rhs2 = Rhs2::Random(othersize, rows), rhs22(othersize, rows), rhs23(othersize, rows);
33  Rhs3 rhs3 = Rhs3::Random(cols, othersize), rhs32(cols, othersize), rhs33(cols, othersize);
34
35  Scalar s1 = internal::random<Scalar>(),
36         s2 = internal::random<Scalar>();
37
38  m2 = m1.template triangularView<Lower>();
39  m3 = m2.template selfadjointView<Lower>();
40  VERIFY_IS_EQUAL(m1, m3);
41  VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>() * (s2*rhs1),
42                   rhs13 = (s1*m1) * (s2*rhs1));
43
44  m2 = m1.template triangularView<Upper>(); rhs12.setRandom(); rhs13 = rhs12;
45  m3 = m2.template selfadjointView<Upper>();
46  VERIFY_IS_EQUAL(m1, m3);
47  VERIFY_IS_APPROX(rhs12 += (s1*m2).template selfadjointView<Upper>() * (s2*rhs1),
48                   rhs13 += (s1*m1) * (s2*rhs1));
49
50  m2 = m1.template triangularView<Lower>();
51  VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Lower>() * (s2*rhs2.adjoint()),
52                   rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
53
54  m2 = m1.template triangularView<Upper>();
55  VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<Upper>() * (s2*rhs2.adjoint()),
56                   rhs13 = (s1*m1) * (s2*rhs2.adjoint()));
57
58  m2 = m1.template triangularView<Upper>();
59  VERIFY_IS_APPROX(rhs12 = (s1*m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs2.adjoint()),
60                   rhs13 = (s1*m1.adjoint()) * (s2*rhs2.adjoint()));
61
62  // test row major = <...>
63  m2 = m1.template triangularView<Lower>(); rhs12.setRandom(); rhs13 = rhs12;
64  VERIFY_IS_APPROX(rhs12 -= (s1*m2).template selfadjointView<Lower>() * (s2*rhs3),
65                   rhs13 -= (s1*m1) * (s2 * rhs3));
66
67  m2 = m1.template triangularView<Upper>();
68  VERIFY_IS_APPROX(rhs12 = (s1*m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs3).conjugate(),
69                   rhs13 = (s1*m1.adjoint()) * (s2*rhs3).conjugate());
70
71
72  m2 = m1.template triangularView<Upper>(); rhs13 = rhs12;
73  VERIFY_IS_APPROX(rhs12.noalias() += s1 * ((m2.adjoint()).template selfadjointView<Lower>() * (s2*rhs3).conjugate()),
74                   rhs13 += (s1*m1.adjoint()) * (s2*rhs3).conjugate());
75
76  m2 = m1.template triangularView<Lower>();
77  VERIFY_IS_APPROX(rhs22 = (rhs2) * (m2).template selfadjointView<Lower>(), rhs23 = (rhs2) * (m1));
78  VERIFY_IS_APPROX(rhs22 = (s2*rhs2) * (s1*m2).template selfadjointView<Lower>(), rhs23 = (s2*rhs2) * (s1*m1));
79
80}
81
82void test_product_symm()
83{
84  for(int i = 0; i < g_repeat ; i++)
85  {
86    CALL_SUBTEST_1(( symm<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
87    CALL_SUBTEST_2(( symm<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
88    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)) ));
89    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)) ));
90
91    CALL_SUBTEST_5(( symm<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
92    CALL_SUBTEST_6(( symm<double,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
93    CALL_SUBTEST_7(( symm<std::complex<float>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
94    CALL_SUBTEST_8(( symm<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) ));
95  }
96}
97