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) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> |
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5 | // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> |
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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 | #ifndef EIGEN_IO_H |
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12 | #define EIGEN_IO_H |
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13 | |
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14 | namespace Eigen { |
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15 | |
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16 | enum { DontAlignCols = 1 }; |
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17 | enum { StreamPrecision = -1, |
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18 | FullPrecision = -2 }; |
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19 | |
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20 | namespace internal { |
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21 | template<typename Derived> |
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22 | std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt); |
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23 | } |
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24 | |
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25 | /** \class IOFormat |
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26 | * \ingroup Core_Module |
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27 | * |
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28 | * \brief Stores a set of parameters controlling the way matrices are printed |
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29 | * |
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30 | * List of available parameters: |
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31 | * - \b precision number of digits for floating point values, or one of the special constants \c StreamPrecision and \c FullPrecision. |
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32 | * The default is the special value \c StreamPrecision which means to use the |
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33 | * stream's own precision setting, as set for instance using \c cout.precision(3). The other special value |
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34 | * \c FullPrecision means that the number of digits will be computed to match the full precision of each floating-point |
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35 | * type. |
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36 | * - \b flags an OR-ed combination of flags, the default value is 0, the only currently available flag is \c DontAlignCols which |
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37 | * allows to disable the alignment of columns, resulting in faster code. |
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38 | * - \b coeffSeparator string printed between two coefficients of the same row |
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39 | * - \b rowSeparator string printed between two rows |
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40 | * - \b rowPrefix string printed at the beginning of each row |
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41 | * - \b rowSuffix string printed at the end of each row |
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42 | * - \b matPrefix string printed at the beginning of the matrix |
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43 | * - \b matSuffix string printed at the end of the matrix |
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44 | * |
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45 | * Example: \include IOFormat.cpp |
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46 | * Output: \verbinclude IOFormat.out |
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47 | * |
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48 | * \sa DenseBase::format(), class WithFormat |
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49 | */ |
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50 | struct IOFormat |
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51 | { |
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52 | /** Default contructor, see class IOFormat for the meaning of the parameters */ |
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53 | IOFormat(int _precision = StreamPrecision, int _flags = 0, |
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54 | const std::string& _coeffSeparator = " ", |
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55 | const std::string& _rowSeparator = "\n", const std::string& _rowPrefix="", const std::string& _rowSuffix="", |
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56 | const std::string& _matPrefix="", const std::string& _matSuffix="") |
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57 | : matPrefix(_matPrefix), matSuffix(_matSuffix), rowPrefix(_rowPrefix), rowSuffix(_rowSuffix), rowSeparator(_rowSeparator), |
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58 | coeffSeparator(_coeffSeparator), precision(_precision), flags(_flags) |
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59 | { |
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60 | rowSpacer = ""; |
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61 | int i = int(matSuffix.length())-1; |
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62 | while (i>=0 && matSuffix[i]!='\n') |
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63 | { |
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64 | rowSpacer += ' '; |
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65 | i--; |
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66 | } |
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67 | } |
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68 | std::string matPrefix, matSuffix; |
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69 | std::string rowPrefix, rowSuffix, rowSeparator, rowSpacer; |
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70 | std::string coeffSeparator; |
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71 | int precision; |
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72 | int flags; |
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73 | }; |
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74 | |
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75 | /** \class WithFormat |
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76 | * \ingroup Core_Module |
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77 | * |
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78 | * \brief Pseudo expression providing matrix output with given format |
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79 | * |
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80 | * \param ExpressionType the type of the object on which IO stream operations are performed |
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81 | * |
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82 | * This class represents an expression with stream operators controlled by a given IOFormat. |
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83 | * It is the return type of DenseBase::format() |
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84 | * and most of the time this is the only way it is used. |
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85 | * |
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86 | * See class IOFormat for some examples. |
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87 | * |
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88 | * \sa DenseBase::format(), class IOFormat |
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89 | */ |
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90 | template<typename ExpressionType> |
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91 | class WithFormat |
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92 | { |
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93 | public: |
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94 | |
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95 | WithFormat(const ExpressionType& matrix, const IOFormat& format) |
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96 | : m_matrix(matrix), m_format(format) |
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97 | {} |
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98 | |
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99 | friend std::ostream & operator << (std::ostream & s, const WithFormat& wf) |
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100 | { |
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101 | return internal::print_matrix(s, wf.m_matrix.eval(), wf.m_format); |
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102 | } |
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103 | |
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104 | protected: |
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105 | const typename ExpressionType::Nested m_matrix; |
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106 | IOFormat m_format; |
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107 | }; |
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108 | |
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109 | /** \returns a WithFormat proxy object allowing to print a matrix the with given |
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110 | * format \a fmt. |
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111 | * |
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112 | * See class IOFormat for some examples. |
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113 | * |
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114 | * \sa class IOFormat, class WithFormat |
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115 | */ |
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116 | template<typename Derived> |
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117 | inline const WithFormat<Derived> |
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118 | DenseBase<Derived>::format(const IOFormat& fmt) const |
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119 | { |
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120 | return WithFormat<Derived>(derived(), fmt); |
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121 | } |
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122 | |
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123 | namespace internal { |
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124 | |
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125 | template<typename Scalar, bool IsInteger> |
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126 | struct significant_decimals_default_impl |
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127 | { |
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128 | typedef typename NumTraits<Scalar>::Real RealScalar; |
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129 | static inline int run() |
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130 | { |
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131 | using std::ceil; |
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132 | return cast<RealScalar,int>(ceil(-log(NumTraits<RealScalar>::epsilon())/log(RealScalar(10)))); |
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133 | } |
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134 | }; |
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135 | |
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136 | template<typename Scalar> |
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137 | struct significant_decimals_default_impl<Scalar, true> |
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138 | { |
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139 | static inline int run() |
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140 | { |
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141 | return 0; |
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142 | } |
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143 | }; |
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144 | |
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145 | template<typename Scalar> |
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146 | struct significant_decimals_impl |
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147 | : significant_decimals_default_impl<Scalar, NumTraits<Scalar>::IsInteger> |
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148 | {}; |
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149 | |
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150 | /** \internal |
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151 | * print the matrix \a _m to the output stream \a s using the output format \a fmt */ |
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152 | template<typename Derived> |
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153 | std::ostream & print_matrix(std::ostream & s, const Derived& _m, const IOFormat& fmt) |
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154 | { |
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155 | if(_m.size() == 0) |
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156 | { |
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157 | s << fmt.matPrefix << fmt.matSuffix; |
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158 | return s; |
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159 | } |
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160 | |
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161 | typename Derived::Nested m = _m; |
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162 | typedef typename Derived::Scalar Scalar; |
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163 | typedef typename Derived::Index Index; |
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164 | |
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165 | Index width = 0; |
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166 | |
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167 | std::streamsize explicit_precision; |
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168 | if(fmt.precision == StreamPrecision) |
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169 | { |
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170 | explicit_precision = 0; |
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171 | } |
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172 | else if(fmt.precision == FullPrecision) |
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173 | { |
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174 | if (NumTraits<Scalar>::IsInteger) |
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175 | { |
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176 | explicit_precision = 0; |
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177 | } |
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178 | else |
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179 | { |
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180 | explicit_precision = significant_decimals_impl<Scalar>::run(); |
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181 | } |
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182 | } |
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183 | else |
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184 | { |
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185 | explicit_precision = fmt.precision; |
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186 | } |
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187 | |
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188 | bool align_cols = !(fmt.flags & DontAlignCols); |
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189 | if(align_cols) |
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190 | { |
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191 | // compute the largest width |
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192 | for(Index j = 1; j < m.cols(); ++j) |
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193 | for(Index i = 0; i < m.rows(); ++i) |
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194 | { |
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195 | std::stringstream sstr; |
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196 | if(explicit_precision) sstr.precision(explicit_precision); |
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197 | sstr << m.coeff(i,j); |
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198 | width = std::max<Index>(width, Index(sstr.str().length())); |
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199 | } |
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200 | } |
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201 | std::streamsize old_precision = 0; |
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202 | if(explicit_precision) old_precision = s.precision(explicit_precision); |
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203 | s << fmt.matPrefix; |
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204 | for(Index i = 0; i < m.rows(); ++i) |
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205 | { |
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206 | if (i) |
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207 | s << fmt.rowSpacer; |
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208 | s << fmt.rowPrefix; |
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209 | if(width) s.width(width); |
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210 | s << m.coeff(i, 0); |
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211 | for(Index j = 1; j < m.cols(); ++j) |
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212 | { |
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213 | s << fmt.coeffSeparator; |
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214 | if (width) s.width(width); |
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215 | s << m.coeff(i, j); |
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216 | } |
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217 | s << fmt.rowSuffix; |
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218 | if( i < m.rows() - 1) |
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219 | s << fmt.rowSeparator; |
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220 | } |
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221 | s << fmt.matSuffix; |
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222 | if(explicit_precision) s.precision(old_precision); |
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223 | return s; |
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224 | } |
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225 | |
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226 | } // end namespace internal |
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227 | |
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228 | /** \relates DenseBase |
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229 | * |
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230 | * Outputs the matrix, to the given stream. |
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231 | * |
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232 | * If you wish to print the matrix with a format different than the default, use DenseBase::format(). |
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233 | * |
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234 | * It is also possible to change the default format by defining EIGEN_DEFAULT_IO_FORMAT before including Eigen headers. |
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235 | * If not defined, this will automatically be defined to Eigen::IOFormat(), that is the Eigen::IOFormat with default parameters. |
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236 | * |
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237 | * \sa DenseBase::format() |
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238 | */ |
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239 | template<typename Derived> |
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240 | std::ostream & operator << |
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241 | (std::ostream & s, |
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242 | const DenseBase<Derived> & m) |
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243 | { |
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244 | return internal::print_matrix(s, m.eval(), EIGEN_DEFAULT_IO_FORMAT); |
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245 | } |
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246 | |
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247 | } // end namespace Eigen |
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248 | |
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249 | #endif // EIGEN_IO_H |
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