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