1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6//
7// This Source Code Form is subject to the terms of the Mozilla
8// Public License v. 2.0. If a copy of the MPL was not distributed
9// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11// work around "uninitialized" warnings and give that option some testing
12#define EIGEN_INITIALIZE_MATRICES_BY_ZERO
13
14#ifndef EIGEN_NO_STATIC_ASSERT
15#define EIGEN_NO_STATIC_ASSERT // turn static asserts into runtime asserts in order to check them
16#endif
17
18// #ifndef EIGEN_DONT_VECTORIZE
19// #define EIGEN_DONT_VECTORIZE // SSE intrinsics aren't designed to allow mixing types
20// #endif
21
22#include "main.h"
23
24using namespace std;
25
26template<int SizeAtCompileType> void mixingtypes(int size = SizeAtCompileType)
27{
28  typedef std::complex<float>   CF;
29  typedef std::complex<double>  CD;
30  typedef Matrix<float, SizeAtCompileType, SizeAtCompileType> Mat_f;
31  typedef Matrix<double, SizeAtCompileType, SizeAtCompileType> Mat_d;
32  typedef Matrix<std::complex<float>, SizeAtCompileType, SizeAtCompileType> Mat_cf;
33  typedef Matrix<std::complex<double>, SizeAtCompileType, SizeAtCompileType> Mat_cd;
34  typedef Matrix<float, SizeAtCompileType, 1> Vec_f;
35  typedef Matrix<double, SizeAtCompileType, 1> Vec_d;
36  typedef Matrix<std::complex<float>, SizeAtCompileType, 1> Vec_cf;
37  typedef Matrix<std::complex<double>, SizeAtCompileType, 1> Vec_cd;
38
39  Mat_f mf    = Mat_f::Random(size,size);
40  Mat_d md    = mf.template cast<double>();
41  Mat_cf mcf  = Mat_cf::Random(size,size);
42  Mat_cd mcd  = mcf.template cast<complex<double> >();
43  Vec_f vf    = Vec_f::Random(size,1);
44  Vec_d vd    = vf.template cast<double>();
45  Vec_cf vcf  = Vec_cf::Random(size,1);
46  Vec_cd vcd  = vcf.template cast<complex<double> >();
47  float           sf  = internal::random<float>();
48  double          sd  = internal::random<double>();
49  complex<float>  scf = internal::random<complex<float> >();
50  complex<double> scd = internal::random<complex<double> >();
51
52
53  mf+mf;
54  VERIFY_RAISES_ASSERT(mf+md);
55  VERIFY_RAISES_ASSERT(mf+mcf);
56  VERIFY_RAISES_ASSERT(vf=vd);
57  VERIFY_RAISES_ASSERT(vf+=vd);
58  VERIFY_RAISES_ASSERT(mcd=md);
59
60  // check scalar products
61  VERIFY_IS_APPROX(vcf * sf , vcf * complex<float>(sf));
62  VERIFY_IS_APPROX(sd * vcd, complex<double>(sd) * vcd);
63  VERIFY_IS_APPROX(vf * scf , vf.template cast<complex<float> >() * scf);
64  VERIFY_IS_APPROX(scd * vd, scd * vd.template cast<complex<double> >());
65
66  // check dot product
67  vf.dot(vf);
68#if 0 // we get other compilation errors here than just static asserts
69  VERIFY_RAISES_ASSERT(vd.dot(vf));
70#endif
71  VERIFY_IS_APPROX(vcf.dot(vf), vcf.dot(vf.template cast<complex<float> >()));
72
73  // check diagonal product
74  VERIFY_IS_APPROX(vf.asDiagonal() * mcf, vf.template cast<complex<float> >().asDiagonal() * mcf);
75  VERIFY_IS_APPROX(vcd.asDiagonal() * md, vcd.asDiagonal() * md.template cast<complex<double> >());
76  VERIFY_IS_APPROX(mcf * vf.asDiagonal(), mcf * vf.template cast<complex<float> >().asDiagonal());
77  VERIFY_IS_APPROX(md * vcd.asDiagonal(), md.template cast<complex<double> >() * vcd.asDiagonal());
78//   vd.asDiagonal() * mf;    // does not even compile
79//   vcd.asDiagonal() * mf;   // does not even compile
80
81  // check inner product
82  VERIFY_IS_APPROX((vf.transpose() * vcf).value(), (vf.template cast<complex<float> >().transpose() * vcf).value());
83
84  // check outer product
85  VERIFY_IS_APPROX((vf * vcf.transpose()).eval(), (vf.template cast<complex<float> >() * vcf.transpose()).eval());
86
87  // coeff wise product
88
89  VERIFY_IS_APPROX((vf * vcf.transpose()).eval(), (vf.template cast<complex<float> >() * vcf.transpose()).eval());
90
91  Mat_cd mcd2 = mcd;
92  VERIFY_IS_APPROX(mcd.array() *= md.array(), mcd2.array() *= md.array().template cast<std::complex<double> >());
93
94  // check matrix-matrix products
95
96  VERIFY_IS_APPROX(sd*md*mcd, (sd*md).template cast<CD>().eval()*mcd);
97  VERIFY_IS_APPROX(sd*mcd*md, sd*mcd*md.template cast<CD>());
98  VERIFY_IS_APPROX(scd*md*mcd, scd*md.template cast<CD>().eval()*mcd);
99  VERIFY_IS_APPROX(scd*mcd*md, scd*mcd*md.template cast<CD>());
100
101  VERIFY_IS_APPROX(sf*mf*mcf, sf*mf.template cast<CF>()*mcf);
102  VERIFY_IS_APPROX(sf*mcf*mf, sf*mcf*mf.template cast<CF>());
103  VERIFY_IS_APPROX(scf*mf*mcf, scf*mf.template cast<CF>()*mcf);
104  VERIFY_IS_APPROX(scf*mcf*mf, scf*mcf*mf.template cast<CF>());
105
106  VERIFY_IS_APPROX(sf*mf*vcf, (sf*mf).template cast<CF>().eval()*vcf);
107  VERIFY_IS_APPROX(scf*mf*vcf,(scf*mf.template cast<CF>()).eval()*vcf);
108  VERIFY_IS_APPROX(sf*mcf*vf, sf*mcf*vf.template cast<CF>());
109  VERIFY_IS_APPROX(scf*mcf*vf,scf*mcf*vf.template cast<CF>());
110
111  VERIFY_IS_APPROX(sf*vcf.adjoint()*mf,  sf*vcf.adjoint()*mf.template cast<CF>().eval());
112  VERIFY_IS_APPROX(scf*vcf.adjoint()*mf, scf*vcf.adjoint()*mf.template cast<CF>().eval());
113  VERIFY_IS_APPROX(sf*vf.adjoint()*mcf,  sf*vf.adjoint().template cast<CF>().eval()*mcf);
114  VERIFY_IS_APPROX(scf*vf.adjoint()*mcf, scf*vf.adjoint().template cast<CF>().eval()*mcf);
115
116  VERIFY_IS_APPROX(sd*md*vcd, (sd*md).template cast<CD>().eval()*vcd);
117  VERIFY_IS_APPROX(scd*md*vcd,(scd*md.template cast<CD>()).eval()*vcd);
118  VERIFY_IS_APPROX(sd*mcd*vd, sd*mcd*vd.template cast<CD>().eval());
119  VERIFY_IS_APPROX(scd*mcd*vd,scd*mcd*vd.template cast<CD>().eval());
120
121  VERIFY_IS_APPROX(sd*vcd.adjoint()*md,  sd*vcd.adjoint()*md.template cast<CD>().eval());
122  VERIFY_IS_APPROX(scd*vcd.adjoint()*md, scd*vcd.adjoint()*md.template cast<CD>().eval());
123  VERIFY_IS_APPROX(sd*vd.adjoint()*mcd,  sd*vd.adjoint().template cast<CD>().eval()*mcd);
124  VERIFY_IS_APPROX(scd*vd.adjoint()*mcd, scd*vd.adjoint().template cast<CD>().eval()*mcd);
125}
126
127void test_mixingtypes()
128{
129  CALL_SUBTEST_1(mixingtypes<3>());
130  CALL_SUBTEST_2(mixingtypes<4>());
131  CALL_SUBTEST_3(mixingtypes<Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)));
132}
133