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) 2006-2008 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 | #define EIGEN2_SUPPORT
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12 | #define EIGEN_NO_EIGEN2_DEPRECATED_WARNING
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13 |
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14 | #define EIGEN_NO_STATIC_ASSERT
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15 | #include "main.h"
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16 | #include <functional>
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17 |
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18 | #ifdef min
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19 | #undef min
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20 | #endif
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21 |
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22 | #ifdef max
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23 | #undef max
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24 | #endif
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25 |
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26 | using namespace std;
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27 |
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28 | template<typename Scalar> struct AddIfNull {
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29 | const Scalar operator() (const Scalar a, const Scalar b) const {return a<=1e-3 ? b : a;}
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30 | enum { Cost = NumTraits<Scalar>::AddCost };
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31 | };
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32 |
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33 | template<typename MatrixType>
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34 | typename Eigen::internal::enable_if<!NumTraits<typename MatrixType::Scalar>::IsInteger,typename MatrixType::Scalar>::type
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35 | cwiseops_real_only(MatrixType& m1, MatrixType& m2, MatrixType& m3, MatrixType& mones)
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36 | {
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37 | typedef typename MatrixType::Scalar Scalar;
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38 | typedef typename NumTraits<Scalar>::Real RealScalar;
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39 |
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40 | VERIFY_IS_APPROX(m1.cwise() / m2, m1.cwise() * (m2.cwise().inverse()));
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41 | m3 = m1.cwise().abs().cwise().sqrt();
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42 | VERIFY_IS_APPROX(m3.cwise().square(), m1.cwise().abs());
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43 | VERIFY_IS_APPROX(m1.cwise().square().cwise().sqrt(), m1.cwise().abs());
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44 | VERIFY_IS_APPROX(m1.cwise().abs().cwise().log().cwise().exp() , m1.cwise().abs());
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45 |
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46 | VERIFY_IS_APPROX(m1.cwise().pow(2), m1.cwise().square());
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47 | m3 = (m1.cwise().abs().cwise()<=RealScalar(0.01)).select(mones,m1);
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48 | VERIFY_IS_APPROX(m3.cwise().pow(-1), m3.cwise().inverse());
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49 | m3 = m1.cwise().abs();
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50 | VERIFY_IS_APPROX(m3.cwise().pow(RealScalar(0.5)), m3.cwise().sqrt());
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51 |
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52 | // VERIFY_IS_APPROX(m1.cwise().tan(), m1.cwise().sin().cwise() / m1.cwise().cos());
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53 | VERIFY_IS_APPROX(mones, m1.cwise().sin().cwise().square() + m1.cwise().cos().cwise().square());
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54 | m3 = m1;
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55 | m3.cwise() /= m2;
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56 | VERIFY_IS_APPROX(m3, m1.cwise() / m2);
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57 |
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58 | return Scalar(0);
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59 | }
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60 |
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61 | template<typename MatrixType>
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62 | typename Eigen::internal::enable_if<NumTraits<typename MatrixType::Scalar>::IsInteger,typename MatrixType::Scalar>::type
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63 | cwiseops_real_only(MatrixType& , MatrixType& , MatrixType& , MatrixType& )
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64 | {
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65 | return 0;
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66 | }
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67 |
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68 | template<typename MatrixType> void cwiseops(const MatrixType& m)
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69 | {
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70 | typedef typename MatrixType::Index Index;
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71 | typedef typename MatrixType::Scalar Scalar;
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72 | typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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73 |
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74 | Index rows = m.rows();
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75 | Index cols = m.cols();
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76 |
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77 | MatrixType m1 = MatrixType::Random(rows, cols),
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78 | m1bis = m1,
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79 | m2 = MatrixType::Random(rows, cols),
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80 | m3(rows, cols),
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81 | m4(rows, cols),
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82 | mzero = MatrixType::Zero(rows, cols),
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83 | mones = MatrixType::Ones(rows, cols),
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84 | identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
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85 | ::Identity(rows, rows);
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86 | VectorType vzero = VectorType::Zero(rows),
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87 | vones = VectorType::Ones(rows),
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88 | v3(rows);
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89 |
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90 | Index r = internal::random<Index>(0, rows-1),
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91 | c = internal::random<Index>(0, cols-1);
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92 |
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93 | Scalar s1 = internal::random<Scalar>();
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94 |
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95 | // test Zero, Ones, Constant, and the set* variants
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96 | m3 = MatrixType::Constant(rows, cols, s1);
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97 | for (int j=0; j<cols; ++j)
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98 | for (int i=0; i<rows; ++i)
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99 | {
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100 | VERIFY_IS_APPROX(mzero(i,j), Scalar(0));
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101 | VERIFY_IS_APPROX(mones(i,j), Scalar(1));
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102 | VERIFY_IS_APPROX(m3(i,j), s1);
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103 | }
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104 | VERIFY(mzero.isZero());
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105 | VERIFY(mones.isOnes());
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106 | VERIFY(m3.isConstant(s1));
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107 | VERIFY(identity.isIdentity());
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108 | VERIFY_IS_APPROX(m4.setConstant(s1), m3);
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109 | VERIFY_IS_APPROX(m4.setConstant(rows,cols,s1), m3);
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110 | VERIFY_IS_APPROX(m4.setZero(), mzero);
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111 | VERIFY_IS_APPROX(m4.setZero(rows,cols), mzero);
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112 | VERIFY_IS_APPROX(m4.setOnes(), mones);
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113 | VERIFY_IS_APPROX(m4.setOnes(rows,cols), mones);
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114 | m4.fill(s1);
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115 | VERIFY_IS_APPROX(m4, m3);
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116 |
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117 | VERIFY_IS_APPROX(v3.setConstant(rows, s1), VectorType::Constant(rows,s1));
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118 | VERIFY_IS_APPROX(v3.setZero(rows), vzero);
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119 | VERIFY_IS_APPROX(v3.setOnes(rows), vones);
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120 |
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121 | m2 = m2.template binaryExpr<AddIfNull<Scalar> >(mones);
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122 |
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123 | VERIFY_IS_APPROX(m1.cwise().pow(2), m1.cwise().abs2());
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124 | VERIFY_IS_APPROX(m1.cwise().pow(2), m1.cwise().square());
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125 | VERIFY_IS_APPROX(m1.cwise().pow(3), m1.cwise().cube());
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126 |
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127 | VERIFY_IS_APPROX(m1 + mones, m1.cwise()+Scalar(1));
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128 | VERIFY_IS_APPROX(m1 - mones, m1.cwise()-Scalar(1));
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129 | m3 = m1; m3.cwise() += 1;
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130 | VERIFY_IS_APPROX(m1 + mones, m3);
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131 | m3 = m1; m3.cwise() -= 1;
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132 | VERIFY_IS_APPROX(m1 - mones, m3);
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133 |
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134 | VERIFY_IS_APPROX(m2, m2.cwise() * mones);
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135 | VERIFY_IS_APPROX(m1.cwise() * m2, m2.cwise() * m1);
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136 | m3 = m1;
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137 | m3.cwise() *= m2;
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138 | VERIFY_IS_APPROX(m3, m1.cwise() * m2);
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139 |
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140 | VERIFY_IS_APPROX(mones, m2.cwise()/m2);
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141 |
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142 | // check min
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143 | VERIFY_IS_APPROX( m1.cwise().min(m2), m2.cwise().min(m1) );
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144 | VERIFY_IS_APPROX( m1.cwise().min(m1+mones), m1 );
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145 | VERIFY_IS_APPROX( m1.cwise().min(m1-mones), m1-mones );
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146 |
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147 | // check max
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148 | VERIFY_IS_APPROX( m1.cwise().max(m2), m2.cwise().max(m1) );
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149 | VERIFY_IS_APPROX( m1.cwise().max(m1-mones), m1 );
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150 | VERIFY_IS_APPROX( m1.cwise().max(m1+mones), m1+mones );
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151 |
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152 | VERIFY( (m1.cwise() == m1).all() );
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153 | VERIFY( (m1.cwise() != m2).any() );
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154 | VERIFY(!(m1.cwise() == (m1+mones)).any() );
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155 | if (rows*cols>1)
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156 | {
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157 | m3 = m1;
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158 | m3(r,c) += 1;
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159 | VERIFY( (m1.cwise() == m3).any() );
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160 | VERIFY( !(m1.cwise() == m3).all() );
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161 | }
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162 | VERIFY( (m1.cwise().min(m2).cwise() <= m2).all() );
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163 | VERIFY( (m1.cwise().max(m2).cwise() >= m2).all() );
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164 | VERIFY( (m1.cwise().min(m2).cwise() < (m1+mones)).all() );
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165 | VERIFY( (m1.cwise().max(m2).cwise() > (m1-mones)).all() );
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166 |
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167 | VERIFY( (m1.cwise()<m1.unaryExpr(bind2nd(plus<Scalar>(), Scalar(1)))).all() );
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168 | VERIFY( !(m1.cwise()<m1bis.unaryExpr(bind2nd(minus<Scalar>(), Scalar(1)))).all() );
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169 | VERIFY( !(m1.cwise()>m1bis.unaryExpr(bind2nd(plus<Scalar>(), Scalar(1)))).any() );
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170 |
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171 | cwiseops_real_only(m1, m2, m3, mones);
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172 | }
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173 |
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174 | void test_cwiseop()
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175 | {
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176 | for(int i = 0; i < g_repeat ; i++) {
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177 | CALL_SUBTEST_1( cwiseops(Matrix<float, 1, 1>()) );
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178 | CALL_SUBTEST_2( cwiseops(Matrix4d()) );
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179 | CALL_SUBTEST_3( cwiseops(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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180 | CALL_SUBTEST_4( cwiseops(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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181 | CALL_SUBTEST_5( cwiseops(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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182 | CALL_SUBTEST_6( cwiseops(MatrixXd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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183 | }
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184 | }
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