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
12#define VERIFY_TRSM(TRI,XB) { \
13    (XB).setRandom(); ref = (XB); \
14    (TRI).solveInPlace(XB); \
15    VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
16    (XB).setRandom(); ref = (XB); \
17    (XB) = (TRI).solve(XB); \
18    VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
19  }
20
21#define VERIFY_TRSM_ONTHERIGHT(TRI,XB) { \
22    (XB).setRandom(); ref = (XB); \
23    (TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose()); \
24    VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
25    (XB).setRandom(); ref = (XB); \
26    (XB).transpose() = (TRI).transpose().template solve<OnTheRight>(XB.transpose()); \
27    VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
28  }
29
30template<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols)
31{
32  typedef typename NumTraits<Scalar>::Real RealScalar;
33
34  Matrix<Scalar,Size,Size,ColMajor> cmLhs(size,size);
35  Matrix<Scalar,Size,Size,RowMajor> rmLhs(size,size);
36
37  enum {  colmajor = Size==1 ? RowMajor : ColMajor,
38          rowmajor = Cols==1 ? ColMajor : RowMajor };
39  Matrix<Scalar,Size,Cols,colmajor> cmRhs(size,cols);
40  Matrix<Scalar,Size,Cols,rowmajor> rmRhs(size,cols);
41  Matrix<Scalar,Dynamic,Dynamic,colmajor> ref(size,cols);
42
43  cmLhs.setRandom(); cmLhs *= static_cast<RealScalar>(0.1); cmLhs.diagonal().array() += static_cast<RealScalar>(1);
44  rmLhs.setRandom(); rmLhs *= static_cast<RealScalar>(0.1); rmLhs.diagonal().array() += static_cast<RealScalar>(1);
45
46  VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
47  VERIFY_TRSM(cmLhs.adjoint()  .template triangularView<Lower>(), cmRhs);
48  VERIFY_TRSM(cmLhs            .template triangularView<Upper>(), cmRhs);
49  VERIFY_TRSM(cmLhs            .template triangularView<Lower>(), rmRhs);
50  VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
51  VERIFY_TRSM(cmLhs.adjoint()  .template triangularView<Upper>(), rmRhs);
52
53  VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
54  VERIFY_TRSM(cmLhs            .template triangularView<UnitUpper>(), rmRhs);
55
56  VERIFY_TRSM(rmLhs            .template triangularView<Lower>(), cmRhs);
57  VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
58
59
60  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
61  VERIFY_TRSM_ONTHERIGHT(cmLhs            .template triangularView<Upper>(), cmRhs);
62  VERIFY_TRSM_ONTHERIGHT(cmLhs            .template triangularView<Lower>(), rmRhs);
63  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
64
65  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
66  VERIFY_TRSM_ONTHERIGHT(cmLhs            .template triangularView<UnitUpper>(), rmRhs);
67
68  VERIFY_TRSM_ONTHERIGHT(rmLhs            .template triangularView<Lower>(), cmRhs);
69  VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
70
71  int c = internal::random<int>(0,cols-1);
72  VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c));
73  VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c));
74}
75
76void test_product_trsolve()
77{
78  for(int i = 0; i < g_repeat ; i++)
79  {
80    // matrices
81    CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
82    CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
83    CALL_SUBTEST_3((trsolve<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
84    CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
85
86    // vectors
87    CALL_SUBTEST_1((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
88    CALL_SUBTEST_5((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
89    CALL_SUBTEST_6((trsolve<float,1,1>()));
90    CALL_SUBTEST_7((trsolve<float,1,2>()));
91    CALL_SUBTEST_8((trsolve<std::complex<float>,4,1>()));
92  }
93}
94