1 | #ifndef _theplu_yat_utility_matrix_ |
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2 | #define _theplu_yat_utility_matrix_ |
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3 | |
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4 | // $Id: matrix.h 762 2007-02-20 19:18:48Z jari $ |
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5 | |
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6 | /* |
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7 | Copyright (C) 2003 Daniel Dalevi, Peter Johansson |
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8 | Copyright (C) 2004 Jari HÃ¤kkinen, Peter Johansson |
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9 | Copyright (C) 2005 Jari HÃ¤kkinen, Peter Johansson, Markus Ringnér |
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10 | Copyright (C) 2006 Jari HÃ¤kkinen, Peter Johansson |
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11 | Copyright (C) 2007 Jari HÃ¤kkinen |
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12 | |
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13 | This file is part of the yat library, http://lev.thep.lu.se/trac/yat |
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14 | |
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15 | The yat library is free software; you can redistribute it and/or |
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16 | modify it under the terms of the GNU General Public License as |
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17 | published by the Free Software Foundation; either version 2 of the |
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18 | License, or (at your option) any later version. |
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19 | |
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20 | The yat library is distributed in the hope that it will be useful, |
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21 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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22 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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23 | General Public License for more details. |
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24 | |
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25 | You should have received a copy of the GNU General Public License |
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26 | along with this program; if not, write to the Free Software |
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27 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
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28 | 02111-1307, USA. |
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29 | */ |
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30 | |
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31 | #include "vector.h" |
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32 | #include "Exception.h" |
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33 | |
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34 | #include <gsl/gsl_matrix.h> |
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35 | #include <iostream> |
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36 | #include <utility> |
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37 | |
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38 | namespace theplu { |
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39 | namespace yat { |
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40 | namespace utility { |
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41 | |
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42 | class vector; |
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43 | |
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44 | /// |
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45 | /// This is the yat interface to GSL matrix. 'double' is the |
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46 | /// only type supported, maybe we should add a 'complex' type as |
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47 | /// well in the future. |
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48 | /// |
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49 | /// \par[File streams] Reading and writing vectors to file streams |
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50 | /// are of course supported. These are implemented without using GSL |
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51 | /// functionality, and thus binary read and write to streams are not |
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52 | /// supported. |
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53 | /// |
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54 | /// \par[Matrix views] GSL matrix views are supported and these are |
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55 | /// disguised as ordinary utility::matrix'es. A support function is |
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56 | /// added, utility::matrix::isview(), that can be used to check if a |
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57 | /// matrix object is a view. Note that view matricess do not own the |
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58 | /// undelying data, and a view is not valid if the matrix owning the |
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59 | /// data is deallocated. |
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60 | /// |
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61 | /// @note All GSL matrix related functions are not implement but |
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62 | /// most functionality defined for GSL matrices can be achieved with |
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63 | /// this interface class. Most notable GSL functionality not |
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64 | /// supported are no binary file support and views on arrays, |
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65 | /// utility::vectors, gsl_vectors, diagonals, subdiagonals, and |
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66 | /// superdiagonals. If there is an interest from the user community, |
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67 | /// the omitted functionality could be included. |
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68 | /// |
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69 | class matrix |
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70 | { |
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71 | public: |
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72 | |
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73 | /** |
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74 | @brief The default constructor. |
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75 | |
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76 | This contructor does not initialize underlying (essential) |
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77 | structures. |
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78 | */ |
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79 | matrix(void); |
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80 | |
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81 | /** |
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82 | \brief Constructor allocating memory space for \a r times \a c |
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83 | elements, and sets all elements to \a init_value. |
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84 | |
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85 | \throw GSL_error if memory allocation fails. |
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86 | */ |
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87 | matrix(const size_t& r, const size_t& c, double init_value=0); |
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88 | |
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89 | /** |
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90 | \brief The copy constructor. |
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91 | |
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92 | \note If the object to be copied is a matrix view, the values |
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93 | of the view will be copied, i.e. the view is not copied. |
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94 | |
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95 | \throw A GSL_error is indirectly thrown if memory allocation |
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96 | fails. |
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97 | */ |
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98 | matrix(const matrix&); |
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99 | |
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100 | /** |
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101 | \brief The matrix view constructor. |
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102 | |
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103 | Create a view of matrix \a m, with starting row \a offset_row, |
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104 | starting column \a offset_column, row size \a n_row, and column |
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105 | size \a n_column. |
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106 | |
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107 | A matrix view can be used as any matrix with the difference |
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108 | that changes made to the view will also change the object that |
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109 | is viewed. Also, using the copy constructor will create a new |
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110 | matrix object that is a copy of whatever is viewed. If a copy |
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111 | of the view is needed then you should use this constructor to |
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112 | obtain a copy. |
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113 | |
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114 | \note If the object viewed by the view goes out of scope or is |
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115 | deleted, the view becomes invalid and the result of further use |
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116 | is undefined. |
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117 | |
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118 | \throw GSL_error if a view cannot be set up. |
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119 | */ |
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120 | matrix(matrix& m, size_t offset_row, size_t offset_column, size_t n_row, |
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121 | size_t n_column); |
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122 | |
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123 | /** |
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124 | \brief The istream constructor. |
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125 | |
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126 | Matrix rows are sepearated with the new line character, and |
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127 | column elements in a row must be separated either with white |
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128 | space characters except the new line (\\n) character (default), |
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129 | or by the delimiter \a sep. Rows, and columns, are read |
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130 | consecutively and only rectangular matrices are |
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131 | supported. Empty lines are ignored. End of input is at end of |
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132 | file marker. |
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133 | |
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134 | \throw GSL_error if memory allocation fails, IO_error if |
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135 | unexpected input is found in the input stream. |
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136 | */ |
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137 | explicit matrix(std::istream &, char sep='\0') |
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138 | throw(utility::IO_error, std::exception); |
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139 | |
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140 | /** |
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141 | \brief The destructor. |
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142 | */ |
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143 | ~matrix(void); |
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144 | |
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145 | /** |
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146 | Elementwise addition of the elements of matrix \a b to the |
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147 | elements of the calling matrix ,\f$ a_{ij} = a_{ij} + b_{ij} \; |
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148 | \forall i,j \f$. The result is stored into the calling matrix. |
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149 | |
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150 | \throw GSL_error if dimensions mis-match. |
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151 | */ |
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152 | void add(const matrix& b); |
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153 | |
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154 | /** |
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155 | Add the scalar value \a d to the elements of the calling |
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156 | matrix, \f$ a_{ij} = a_{ij} + d \; \forall i,j \f$. The result |
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157 | is stored into the calling matrix. |
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158 | */ |
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159 | void add(double d); |
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160 | |
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161 | /// |
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162 | /// @return The number of columns in the matrix. |
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163 | /// |
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164 | size_t columns(void) const; |
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165 | |
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166 | /** |
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167 | Elementwise division of the elemnts of the calling matrix by |
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168 | the elements of matrix \a b, \f$ a_{ij} = a_{ij} / b_{ij} \; |
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169 | \forall i,j \f$. The result is stored into the calling matrix. |
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170 | |
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171 | \throw GSL_error if dimensions mis-match. |
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172 | */ |
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173 | void div_elements(const matrix& b); |
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174 | |
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175 | /// |
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176 | /// Check whether matrices are equal within a user defined |
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177 | /// precision, set by \a precision. |
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178 | /// |
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179 | /// @return True if each element deviates less or equal than \a |
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180 | /// d. If any matrix contain a NaN, false is always returned. |
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181 | /// |
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182 | bool equal(const matrix&, const double precision=0) const; |
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183 | |
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184 | /// |
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185 | /// @return A const pointer to the internal GSL matrix. |
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186 | /// |
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187 | const gsl_matrix* gsl_matrix_p(void) const; |
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188 | |
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189 | /// |
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190 | /// @return A pointer to the internal GSL matrix. |
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191 | /// |
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192 | gsl_matrix* gsl_matrix_p(void); |
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193 | |
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194 | /// |
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195 | /// @return True if all elements in the matrix is zero, false |
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196 | /// othwerwise; |
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197 | /// |
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198 | bool isnull(void) const; |
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199 | |
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200 | /// |
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201 | /// @brief Check if the matrix object is a view (sub-matrix) to |
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202 | /// another matrix. |
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203 | /// |
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204 | /// @return True if the object is a view, false othwerwise. |
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205 | /// |
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206 | bool isview(void) const; |
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207 | |
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208 | /// |
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209 | /// @return The maximum value of the matrix. |
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210 | /// |
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211 | double max(void) const; |
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212 | |
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213 | /// |
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214 | /// @return The minimum value of the matrix. |
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215 | /// |
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216 | double min(void) const; |
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217 | |
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218 | /// |
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219 | /// @return The indecies to the element with the minimum and |
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220 | /// maximum values of the matrix, respectively. The lowest index |
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221 | /// has precedence (searching in row-major order). |
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222 | /// |
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223 | void minmax_index(std::pair<size_t,size_t>& min, |
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224 | std::pair<size_t,size_t>& max) const; |
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225 | |
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226 | /// |
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227 | /// The argument is changed into a matrix containing 1's and 0's |
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228 | /// only. 1 means element in matrix is valid and a zero means |
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229 | /// element is a NaN. |
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230 | /// |
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231 | /// @return true if matrix contains at least one NaN. |
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232 | /// |
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233 | bool nan(matrix&) const; |
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234 | |
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235 | /** |
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236 | Multiply the elements of matrix \a b with the elements of the |
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237 | calling matrix ,\f$ a_{ij} = a_{ij} * b_{ij} \; \forall i,j |
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238 | \f$. The result is stored into the calling matrix. |
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239 | |
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240 | \throw GSL_error if dimensions mis-match. |
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241 | */ |
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242 | void mul_elements(const matrix& b); |
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243 | |
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244 | /// |
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245 | /// @return The number of rows in the matrix. |
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246 | /// |
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247 | size_t rows(void) const; |
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248 | |
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249 | /** |
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250 | Multiply the elements of the calling matrix with a scalar \a d, |
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251 | \f$ a_{ij} = d * a_{ij} \; \forall i,j \f$. The result is |
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252 | stored into the calling matrix. |
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253 | */ |
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254 | void scale(const double d); |
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255 | |
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256 | /** |
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257 | \brief Set element values to values in \a mat. |
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258 | |
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259 | This function is needed for assignment of viewed elements. |
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260 | |
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261 | \see const matrix& operator=(const matrix&) |
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262 | |
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263 | \throw GSL_error if dimensions mis-match. |
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264 | */ |
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265 | void set(const matrix& mat); |
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266 | |
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267 | /// |
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268 | /// Set all elements to \a value. |
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269 | /// |
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270 | void set_all(const double value); |
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271 | |
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272 | /** |
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273 | \brief Set \a column values to values in \a vec. |
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274 | |
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275 | \note No check on size is done. |
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276 | |
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277 | \throw GSL_error if index is out of range or mis-match in |
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278 | sizes. |
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279 | */ |
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280 | void set_column(const size_t column, const vector& vec); |
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281 | |
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282 | /** |
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283 | \brief Set \a row values to values in \a vec. |
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284 | |
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285 | \note No check on size is done. |
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286 | |
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287 | \throw GSL_error if index is out of range or mis-match in |
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288 | sizes. |
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289 | */ |
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290 | void set_row(const size_t row, const vector& vec); |
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291 | |
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292 | /** |
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293 | Subtract the elements of matrix \a b from the elements of the |
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294 | calling matrix ,\f$ a_{ij} = a_{ij} - b_{ij} \; \forall i,j |
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295 | \f$. The result is stored into the calling matrix. |
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296 | |
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297 | \throw GSL_error if dimensions mis-match. |
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298 | */ |
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299 | void sub(const matrix& b); |
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300 | |
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301 | /** |
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302 | \brief Exchange the elements of the this and \a other by copying. |
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303 | |
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304 | The two matrices must have the same size. |
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305 | |
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306 | \throw GSL_error if either index is out of bounds. |
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307 | */ |
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308 | void swap(matrix& other); |
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309 | |
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310 | /** |
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311 | \brief Swap columns \a i and \a j. |
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312 | |
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313 | \throw GSL_error if either index is out of bounds. |
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314 | */ |
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315 | void swap_columns(const size_t i,const size_t j); |
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316 | |
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317 | /** |
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318 | \brief Swap row \a i and column \a j. |
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319 | |
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320 | The matrix must be square. |
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321 | |
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322 | \throw GSL_error if either index is out of bounds, or if matrix |
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323 | is not square. |
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324 | */ |
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325 | void swap_rowcol(const size_t i,const size_t j); |
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326 | |
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327 | /** |
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328 | \brief Swap rows \a i and \a j. |
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329 | |
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330 | \throw GSL_error if either index is out of bounds. |
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331 | */ |
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332 | void swap_rows(const size_t i, const size_t j); |
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333 | |
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334 | /** |
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335 | \brief Transpose the matrix. |
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336 | |
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337 | \throw GSL_error if memory allocation fails for the new |
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338 | transposed matrix. |
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339 | */ |
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340 | void transpose(void); |
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341 | |
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342 | /** |
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343 | \brief Element access operator. |
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344 | |
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345 | \return Reference to the element position (\a row, \a column). |
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346 | |
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347 | \throw If GSL range checks are enabled in the underlying GSL |
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348 | library a GSL_error exception is thrown if either index is out |
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349 | of range. |
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350 | */ |
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351 | double& operator()(size_t row,size_t column); |
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352 | |
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353 | /** |
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354 | \brief Element access operator. |
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355 | |
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356 | \return Const reference to the element position (\a row, \a |
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357 | column). |
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358 | |
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359 | \throw If GSL range checks are enabled in the underlying GSL |
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360 | library a GSL_error exception is thrown if either index is out |
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361 | of range. |
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362 | */ |
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363 | const double& operator()(size_t row,size_t column) const; |
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364 | |
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365 | /// |
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366 | /// @brief Comparison operator. |
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367 | /// |
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368 | /// @return True if all elements are equal otherwise False. |
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369 | /// |
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370 | /// @see equal |
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371 | /// |
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372 | bool operator==(const matrix& other) const; |
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373 | |
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374 | /// |
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375 | /// @brief Comparison operator. |
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376 | /// |
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377 | /// @return False if all elements are equal otherwise True. |
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378 | /// |
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379 | /// @see equal |
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380 | /// |
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381 | bool operator!=(const matrix& other) const; |
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382 | |
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383 | /** |
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384 | \brief The assignment operator. |
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385 | |
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386 | There is no requirements on dimensions, i.e. the matrix is |
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387 | remapped in memory if necessary. This implies that in general |
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388 | views cannot be assigned using this operator. Views will be |
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389 | mutated into normal matrices. The only exception to this |
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390 | behaviour on views is when self-assignemnt is done, since |
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391 | self-assignment is ignored. |
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392 | |
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393 | \return A const reference to the resulting matrix. |
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394 | |
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395 | \see void set(const matrix&). |
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396 | |
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397 | \throw A GSL_error is indirectly thrown if memory allocation |
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398 | fails, or if dimensions mis-match. |
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399 | */ |
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400 | const matrix& operator=(const matrix& other); |
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401 | |
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402 | /** |
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403 | \brief Add and assign operator. |
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404 | |
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405 | \return A const reference to the resulting matrix. |
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406 | |
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407 | \throw GSL_error if dimensions mis-match. |
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408 | */ |
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409 | const matrix& operator+=(const matrix&); |
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410 | |
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411 | /// |
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412 | /// @brief Add and assign operator. |
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413 | /// |
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414 | const matrix& operator+=(const double); |
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415 | |
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416 | /** |
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417 | \brief Subtract and assign operator. |
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418 | |
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419 | \return A const reference to the resulting matrix. |
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420 | |
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421 | \throw GSL_error if dimensions mis-match. |
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422 | */ |
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423 | const matrix& operator-=(const matrix&); |
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424 | |
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425 | /** |
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426 | \brief Multiply and assigment operator. |
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427 | |
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428 | \return Const reference to the resulting matrix. |
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429 | |
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430 | \throw GSL_error if memory allocation fails. |
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431 | */ |
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432 | const matrix& operator*=(const matrix&); |
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433 | |
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434 | /** |
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435 | \brief Multiply and assignment operator |
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436 | |
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437 | \throw GSL_error if memory allocation fails. |
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438 | */ |
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439 | const matrix& operator*=(const double); |
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440 | |
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441 | private: |
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442 | |
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443 | /** |
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444 | \brief Create a new copy of the internal GSL matrix. |
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445 | |
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446 | Necessary memory for the new GSL matrix is allocated and the |
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447 | caller is responsible for freeing the allocated memory. |
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448 | |
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449 | \return A pointer to a copy of the internal GSL matrix. |
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450 | |
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451 | \throw GSL_error if memory cannot be allocated for the new |
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452 | copy, or if dimensions mis-match. |
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453 | */ |
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454 | gsl_matrix* create_gsl_matrix_copy(void) const; |
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455 | |
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456 | // blas_result_ is used to temporarily store result in BLAS calls |
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457 | // and when not NULL it should always have the same size as |
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458 | // m_. Memory is not allocated for blas_result_ until it is |
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459 | // needed. |
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460 | gsl_matrix* blas_result_; |
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461 | gsl_matrix* m_; |
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462 | gsl_matrix_view* view_; |
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463 | }; |
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464 | |
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465 | /// |
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466 | /// The output operator for the matrix class. |
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467 | /// |
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468 | std::ostream& operator<< (std::ostream& s, const matrix&); |
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469 | |
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470 | /** |
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471 | @brief vector matrix multiplication |
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472 | */ |
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473 | vector operator*(const matrix&, const vector&); |
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474 | |
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475 | /** |
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476 | @brief matrix vector multiplication |
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477 | */ |
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478 | vector operator*(const vector&, const matrix&); |
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479 | |
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480 | }}} // of namespace utility, yat, and theplu |
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481 | |
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482 | #endif |
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