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