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1 /* |
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2 |
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3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003, |
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4 2005, 2006, 2007 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 3 of the License, or (at your |
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11 option) any later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, see |
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20 <http://www.gnu.org/licenses/>. |
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21 |
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22 */ |
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23 |
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240
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <cassert> |
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29 |
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30 #include "Array-util.h" |
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31 #include "CMatrix.h" |
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32 #include "dMatrix.h" |
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33 #include "CNDArray.h" |
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34 #include "dNDArray.h" |
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35 #include "oct-cmplx.h" |
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36 #include "quit.h" |
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37 |
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38 #include "error.h" |
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39 #include "xdiv.h" |
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40 |
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41 static inline bool |
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42 result_ok (octave_idx_type info) |
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43 { |
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44 assert (info != -1); |
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45 |
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46 return (info != -2); |
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47 } |
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48 |
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49 static void |
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50 solve_singularity_warning (double rcond) |
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51 { |
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52 warning ("matrix singular to machine precision, rcond = %g", rcond); |
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53 warning ("attempting to find minimum norm solution"); |
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54 } |
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55 |
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56 template <class T1, class T2> |
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57 bool |
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58 mx_leftdiv_conform (const T1& a, const T2& b) |
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59 { |
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60 octave_idx_type a_nr = a.rows (); |
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61 octave_idx_type b_nr = b.rows (); |
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62 |
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63 if (a_nr != b_nr) |
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64 { |
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65 octave_idx_type a_nc = a.cols (); |
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66 octave_idx_type b_nc = b.cols (); |
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67 |
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68 gripe_nonconformant ("operator \\", a_nr, a_nc, b_nr, b_nc); |
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69 return false; |
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70 } |
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71 |
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72 return true; |
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73 } |
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74 |
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75 #define INSTANTIATE_MX_LEFTDIV_CONFORM(T1, T2) \ |
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76 template bool mx_leftdiv_conform (const T1&, const T2&) |
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77 |
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78 INSTANTIATE_MX_LEFTDIV_CONFORM (Matrix, Matrix); |
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79 INSTANTIATE_MX_LEFTDIV_CONFORM (Matrix, ComplexMatrix); |
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80 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexMatrix, Matrix); |
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81 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexMatrix, ComplexMatrix); |
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82 |
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83 template <class T1, class T2> |
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84 bool |
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85 mx_div_conform (const T1& a, const T2& b) |
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86 { |
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87 octave_idx_type a_nc = a.cols (); |
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88 octave_idx_type b_nc = b.cols (); |
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89 |
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90 if (a_nc != b_nc) |
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91 { |
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92 octave_idx_type a_nr = a.rows (); |
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93 octave_idx_type b_nr = b.rows (); |
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94 |
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95 gripe_nonconformant ("operator /", a_nr, a_nc, b_nr, b_nc); |
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96 return false; |
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97 } |
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98 |
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99 return true; |
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100 } |
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101 |
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102 #define INSTANTIATE_MX_DIV_CONFORM(T1, T2) \ |
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103 template bool mx_div_conform (const T1&, const T2&) |
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104 |
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105 INSTANTIATE_MX_DIV_CONFORM (Matrix, Matrix); |
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106 INSTANTIATE_MX_DIV_CONFORM (Matrix, ComplexMatrix); |
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107 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, Matrix); |
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108 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, ComplexMatrix); |
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109 |
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110 // Right division functions. |
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111 // |
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112 // op2 / op1: m cm |
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113 // +-- +---+----+ |
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114 // matrix | 1 | 3 | |
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115 // +---+----+ |
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116 // complex_matrix | 2 | 4 | |
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117 // +---+----+ |
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118 |
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119 // -*- 1 -*- |
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120 Matrix |
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121 xdiv (const Matrix& a, const Matrix& b, MatrixType &typ) |
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122 { |
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123 if (! mx_div_conform (a, b)) |
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124 return Matrix (); |
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125 |
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126 Matrix atmp = a.transpose (); |
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127 Matrix btmp = b.transpose (); |
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128 MatrixType btyp = typ.transpose (); |
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129 |
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130 octave_idx_type info; |
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131 double rcond = 0.0; |
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132 |
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133 Matrix result |
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134 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); |
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135 |
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136 typ = btyp.transpose (); |
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137 return result.transpose (); |
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138 } |
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139 |
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140 // -*- 2 -*- |
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141 ComplexMatrix |
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142 xdiv (const Matrix& a, const ComplexMatrix& b, MatrixType &typ) |
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143 { |
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144 if (! mx_div_conform (a, b)) |
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145 return ComplexMatrix (); |
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146 |
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147 Matrix atmp = a.transpose (); |
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148 ComplexMatrix btmp = b.hermitian (); |
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149 MatrixType btyp = typ.transpose (); |
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150 |
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151 octave_idx_type info; |
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152 double rcond = 0.0; |
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153 |
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154 ComplexMatrix result |
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155 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); |
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156 |
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157 typ = btyp.transpose (); |
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158 return result.hermitian (); |
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159 } |
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160 |
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161 // -*- 3 -*- |
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162 ComplexMatrix |
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163 xdiv (const ComplexMatrix& a, const Matrix& b, MatrixType &typ) |
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164 { |
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165 if (! mx_div_conform (a, b)) |
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166 return ComplexMatrix (); |
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167 |
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168 ComplexMatrix atmp = a.hermitian (); |
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169 Matrix btmp = b.transpose (); |
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170 MatrixType btyp = typ.transpose (); |
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171 |
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172 octave_idx_type info; |
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173 double rcond = 0.0; |
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174 |
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175 ComplexMatrix result |
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176 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); |
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177 |
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178 typ = btyp.transpose (); |
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179 return result.hermitian (); |
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180 } |
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181 |
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182 // -*- 4 -*- |
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183 ComplexMatrix |
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184 xdiv (const ComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ) |
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185 { |
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186 if (! mx_div_conform (a, b)) |
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187 return ComplexMatrix (); |
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188 |
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189 ComplexMatrix atmp = a.hermitian (); |
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190 ComplexMatrix btmp = b.hermitian (); |
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191 MatrixType btyp = typ.transpose (); |
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192 |
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193 octave_idx_type info; |
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194 double rcond = 0.0; |
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195 |
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196 ComplexMatrix result |
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197 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); |
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198 |
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199 typ = btyp.transpose (); |
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200 return result.hermitian (); |
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201 } |
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202 |
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203 // Funny element by element division operations. |
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204 // |
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205 // op2 \ op1: s cs |
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206 // +-- +---+----+ |
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207 // matrix | 1 | 3 | |
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208 // +---+----+ |
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209 // complex_matrix | 2 | 4 | |
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210 // +---+----+ |
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211 |
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212 Matrix |
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213 x_el_div (double a, const Matrix& b) |
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214 { |
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215 octave_idx_type nr = b.rows (); |
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216 octave_idx_type nc = b.columns (); |
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217 |
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218 Matrix result (nr, nc); |
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219 |
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220 for (octave_idx_type j = 0; j < nc; j++) |
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221 for (octave_idx_type i = 0; i < nr; i++) |
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222 { |
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223 OCTAVE_QUIT; |
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224 result (i, j) = a / b (i, j); |
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225 } |
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226 |
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227 return result; |
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228 } |
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229 |
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230 ComplexMatrix |
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231 x_el_div (double a, const ComplexMatrix& b) |
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232 { |
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233 octave_idx_type nr = b.rows (); |
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234 octave_idx_type nc = b.columns (); |
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235 |
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236 ComplexMatrix result (nr, nc); |
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237 |
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238 for (octave_idx_type j = 0; j < nc; j++) |
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239 for (octave_idx_type i = 0; i < nr; i++) |
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240 { |
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241 OCTAVE_QUIT; |
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242 result (i, j) = a / b (i, j); |
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243 } |
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244 |
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245 return result; |
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246 } |
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247 |
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248 ComplexMatrix |
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249 x_el_div (const Complex a, const Matrix& b) |
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250 { |
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251 octave_idx_type nr = b.rows (); |
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252 octave_idx_type nc = b.columns (); |
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253 |
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254 ComplexMatrix result (nr, nc); |
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255 |
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256 for (octave_idx_type j = 0; j < nc; j++) |
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257 for (octave_idx_type i = 0; i < nr; i++) |
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258 { |
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259 OCTAVE_QUIT; |
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260 result (i, j) = a / b (i, j); |
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261 } |
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262 |
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263 return result; |
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264 } |
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265 |
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266 ComplexMatrix |
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267 x_el_div (const Complex a, const ComplexMatrix& b) |
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268 { |
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269 octave_idx_type nr = b.rows (); |
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270 octave_idx_type nc = b.columns (); |
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271 |
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272 ComplexMatrix result (nr, nc); |
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273 |
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274 for (octave_idx_type j = 0; j < nc; j++) |
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275 for (octave_idx_type i = 0; i < nr; i++) |
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276 { |
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277 OCTAVE_QUIT; |
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278 result (i, j) = a / b (i, j); |
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279 } |
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280 |
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281 return result; |
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282 } |
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283 |
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284 // Funny element by element division operations. |
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285 // |
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286 // op2 \ op1: s cs |
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287 // +-- +---+----+ |
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288 // N-d array | 1 | 3 | |
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289 // +---+----+ |
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290 // complex N-d array | 2 | 4 | |
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291 // +---+----+ |
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292 |
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293 NDArray |
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294 x_el_div (double a, const NDArray& b) |
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295 { |
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296 NDArray result (b.dims ()); |
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297 |
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298 for (octave_idx_type i = 0; i < b.length (); i++) |
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299 { |
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300 OCTAVE_QUIT; |
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301 result (i) = a / b (i); |
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302 } |
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303 |
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304 return result; |
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305 } |
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306 |
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307 ComplexNDArray |
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308 x_el_div (double a, const ComplexNDArray& b) |
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309 { |
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310 ComplexNDArray result (b.dims ()); |
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311 |
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312 for (octave_idx_type i = 0; i < b.length (); i++) |
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313 { |
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314 OCTAVE_QUIT; |
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315 result (i) = a / b (i); |
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316 } |
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317 |
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318 return result; |
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319 } |
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320 |
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321 ComplexNDArray |
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322 x_el_div (const Complex a, const NDArray& b) |
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323 { |
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324 ComplexNDArray result (b.dims ()); |
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325 |
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326 for (octave_idx_type i = 0; i < b.length (); i++) |
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327 { |
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328 OCTAVE_QUIT; |
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329 result (i) = a / b (i); |
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330 } |
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331 |
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332 return result; |
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333 } |
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334 |
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335 ComplexNDArray |
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336 x_el_div (const Complex a, const ComplexNDArray& b) |
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337 { |
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338 ComplexNDArray result (b.dims ()); |
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339 |
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340 for (octave_idx_type i = 0; i < b.length (); i++) |
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341 { |
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342 OCTAVE_QUIT; |
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343 result (i) = a / b (i); |
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344 } |
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345 |
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346 return result; |
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347 } |
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348 |
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349 // Left division functions. |
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350 // |
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351 // op2 \ op1: m cm |
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352 // +-- +---+----+ |
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353 // matrix | 1 | 3 | |
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354 // +---+----+ |
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355 // complex_matrix | 2 | 4 | |
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356 // +---+----+ |
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357 |
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358 // -*- 1 -*- |
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359 Matrix |
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360 xleftdiv (const Matrix& a, const Matrix& b, MatrixType &typ) |
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361 { |
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362 if (! mx_leftdiv_conform (a, b)) |
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363 return Matrix (); |
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364 |
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365 octave_idx_type info; |
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366 double rcond = 0.0; |
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367 return a.solve (typ, b, info, rcond, solve_singularity_warning); |
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368 } |
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369 |
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370 // -*- 2 -*- |
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371 ComplexMatrix |
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372 xleftdiv (const Matrix& a, const ComplexMatrix& b, MatrixType &typ) |
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373 { |
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374 if (! mx_leftdiv_conform (a, b)) |
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375 return ComplexMatrix (); |
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376 |
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377 octave_idx_type info; |
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378 double rcond = 0.0; |
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379 |
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380 return a.solve (typ, b, info, rcond, solve_singularity_warning); |
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381 } |
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382 |
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383 // -*- 3 -*- |
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384 ComplexMatrix |
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385 xleftdiv (const ComplexMatrix& a, const Matrix& b, MatrixType &typ) |
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386 { |
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387 if (! mx_leftdiv_conform (a, b)) |
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388 return ComplexMatrix (); |
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389 |
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390 octave_idx_type info; |
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391 double rcond = 0.0; |
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392 return a.solve (typ, b, info, rcond, solve_singularity_warning); |
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393 } |
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394 |
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395 // -*- 4 -*- |
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396 ComplexMatrix |
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397 xleftdiv (const ComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ) |
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398 { |
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399 if (! mx_leftdiv_conform (a, b)) |
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400 return ComplexMatrix (); |
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401 |
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402 octave_idx_type info; |
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403 double rcond = 0.0; |
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404 return a.solve (typ, b, info, rcond, solve_singularity_warning); |
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405 } |
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406 |
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407 /* |
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408 ;;; Local Variables: *** |
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409 ;;; mode: C++ *** |
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410 ;;; End: *** |
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411 */ |
