annotate src/xdiv.cc @ 7789:82be108cc558

First attempt at single precision tyeps * * * corrections to qrupdate single precision routines * * * prefer demotion to single over promotion to double * * * Add single precision support to log2 function * * * Trivial PROJECT file update * * * Cache optimized hermitian/transpose methods * * * Add tests for tranpose/hermitian and ChangeLog entry for new transpose code
author David Bateman <dbateman@free.fr>
date Sun, 27 Apr 2008 22:34:17 +0200
parents a1dbe9d80eee
children 8b1a2555c4e2
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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
1
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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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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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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 "fCMatrix.h"
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36 #include "fMatrix.h"
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37 #include "fCNDArray.h"
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38 #include "fNDArray.h"
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39 #include "oct-cmplx.h"
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40 #include "quit.h"
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41
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42 #include "error.h"
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43 #include "xdiv.h"
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44
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45 static inline bool
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46 result_ok (octave_idx_type info)
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47 {
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48 assert (info != -1);
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49
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50 return (info != -2);
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51 }
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52
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53 static void
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54 solve_singularity_warning (double rcond)
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55 {
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56 warning ("matrix singular to machine precision, rcond = %g", rcond);
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57 warning ("attempting to find minimum norm solution");
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58 }
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59
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60 template <class T1, class T2>
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61 bool
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62 mx_leftdiv_conform (const T1& a, const T2& b)
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63 {
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64 octave_idx_type a_nr = a.rows ();
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65 octave_idx_type b_nr = b.rows ();
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66
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67 if (a_nr != b_nr)
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68 {
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69 octave_idx_type a_nc = a.cols ();
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70 octave_idx_type b_nc = b.cols ();
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71
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72 gripe_nonconformant ("operator \\", a_nr, a_nc, b_nr, b_nc);
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73 return false;
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74 }
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75
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76 return true;
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77 }
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78
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79 #define INSTANTIATE_MX_LEFTDIV_CONFORM(T1, T2) \
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80 template bool mx_leftdiv_conform (const T1&, const T2&)
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81
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82 INSTANTIATE_MX_LEFTDIV_CONFORM (Matrix, Matrix);
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83 INSTANTIATE_MX_LEFTDIV_CONFORM (Matrix, ComplexMatrix);
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84 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexMatrix, Matrix);
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85 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexMatrix, ComplexMatrix);
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86
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87 template <class T1, class T2>
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88 bool
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89 mx_div_conform (const T1& a, const T2& b)
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90 {
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91 octave_idx_type a_nc = a.cols ();
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92 octave_idx_type b_nc = b.cols ();
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93
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94 if (a_nc != b_nc)
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95 {
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96 octave_idx_type a_nr = a.rows ();
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97 octave_idx_type b_nr = b.rows ();
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98
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99 gripe_nonconformant ("operator /", a_nr, a_nc, b_nr, b_nc);
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100 return false;
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101 }
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102
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103 return true;
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104 }
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105
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106 #define INSTANTIATE_MX_DIV_CONFORM(T1, T2) \
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107 template bool mx_div_conform (const T1&, const T2&)
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108
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109 INSTANTIATE_MX_DIV_CONFORM (Matrix, Matrix);
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110 INSTANTIATE_MX_DIV_CONFORM (Matrix, ComplexMatrix);
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111 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, Matrix);
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112 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, ComplexMatrix);
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113
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114 // Right division functions.
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115 //
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116 // op2 / op1: m cm
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117 // +-- +---+----+
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118 // matrix | 1 | 3 |
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119 // +---+----+
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120 // complex_matrix | 2 | 4 |
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121 // +---+----+
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122
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123 // -*- 1 -*-
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124 Matrix
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125 xdiv (const Matrix& a, const Matrix& b, MatrixType &typ)
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126 {
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127 if (! mx_div_conform (a, b))
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128 return Matrix ();
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129
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130 Matrix atmp = a.transpose ();
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131 Matrix btmp = b.transpose ();
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132 MatrixType btyp = typ.transpose ();
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133
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134 octave_idx_type info;
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135 double rcond = 0.0;
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136
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137 Matrix result
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138 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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139
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140 typ = btyp.transpose ();
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141 return result.transpose ();
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142 }
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143
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144 // -*- 2 -*-
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145 ComplexMatrix
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146 xdiv (const Matrix& a, const ComplexMatrix& b, MatrixType &typ)
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147 {
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148 if (! mx_div_conform (a, b))
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149 return ComplexMatrix ();
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150
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151 Matrix atmp = a.transpose ();
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152 ComplexMatrix btmp = b.hermitian ();
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153 MatrixType btyp = typ.transpose ();
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154
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155 octave_idx_type info;
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156 double rcond = 0.0;
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157
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158 ComplexMatrix result
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159 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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160
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161 typ = btyp.transpose ();
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162 return result.hermitian ();
1
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163 }
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164
767
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165 // -*- 3 -*-
1800
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166 ComplexMatrix
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167 xdiv (const ComplexMatrix& a, const Matrix& b, MatrixType &typ)
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168 {
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169 if (! mx_div_conform (a, b))
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170 return ComplexMatrix ();
1
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171
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172 ComplexMatrix atmp = a.hermitian ();
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173 Matrix btmp = b.transpose ();
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174 MatrixType btyp = typ.transpose ();
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175
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176 octave_idx_type info;
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177 double rcond = 0.0;
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178
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179 ComplexMatrix result
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180 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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181
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182 typ = btyp.transpose ();
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183 return result.hermitian ();
1
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184 }
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185
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186 // -*- 4 -*-
1800
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187 ComplexMatrix
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188 xdiv (const ComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ)
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189 {
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190 if (! mx_div_conform (a, b))
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191 return ComplexMatrix ();
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192
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193 ComplexMatrix atmp = a.hermitian ();
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194 ComplexMatrix btmp = b.hermitian ();
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195 MatrixType btyp = typ.transpose ();
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196
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197 octave_idx_type info;
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198 double rcond = 0.0;
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199
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200 ComplexMatrix result
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201 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
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202
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203 typ = btyp.transpose ();
1800
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204 return result.hermitian ();
1
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205 }
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206
767
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207 // Funny element by element division operations.
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208 //
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209 // op2 \ op1: s cs
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210 // +-- +---+----+
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211 // matrix | 1 | 3 |
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212 // +---+----+
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213 // complex_matrix | 2 | 4 |
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214 // +---+----+
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215
1800
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216 Matrix
164
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217 x_el_div (double a, const Matrix& b)
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218 {
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219 octave_idx_type nr = b.rows ();
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220 octave_idx_type nc = b.columns ();
1
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221
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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222 Matrix result (nr, nc);
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223
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224 for (octave_idx_type j = 0; j < nc; j++)
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225 for (octave_idx_type i = 0; i < nr; i++)
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226 {
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227 OCTAVE_QUIT;
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228 result (i, j) = a / b (i, j);
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229 }
1
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230
1800
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231 return result;
1
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232 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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233
1800
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234 ComplexMatrix
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235 x_el_div (double a, const ComplexMatrix& b)
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236 {
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237 octave_idx_type nr = b.rows ();
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238 octave_idx_type nc = b.columns ();
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239
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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240 ComplexMatrix result (nr, nc);
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241
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242 for (octave_idx_type j = 0; j < nc; j++)
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243 for (octave_idx_type i = 0; i < nr; i++)
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244 {
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245 OCTAVE_QUIT;
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246 result (i, j) = a / b (i, j);
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247 }
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248
1800
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249 return result;
1
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250 }
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251
1800
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252 ComplexMatrix
164
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253 x_el_div (const Complex a, const Matrix& b)
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254 {
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255 octave_idx_type nr = b.rows ();
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256 octave_idx_type nc = b.columns ();
1
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257
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258 ComplexMatrix result (nr, nc);
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259
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260 for (octave_idx_type j = 0; j < nc; j++)
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261 for (octave_idx_type i = 0; i < nr; i++)
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262 {
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263 OCTAVE_QUIT;
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264 result (i, j) = a / b (i, j);
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265 }
1
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266
1800
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267 return result;
1
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268 }
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269
1800
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270 ComplexMatrix
164
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271 x_el_div (const Complex a, const ComplexMatrix& b)
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272 {
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273 octave_idx_type nr = b.rows ();
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274 octave_idx_type nc = b.columns ();
1
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275
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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276 ComplexMatrix result (nr, nc);
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277
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278 for (octave_idx_type j = 0; j < nc; j++)
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279 for (octave_idx_type i = 0; i < nr; i++)
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280 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
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281 OCTAVE_QUIT;
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282 result (i, j) = a / b (i, j);
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283 }
1
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284
1800
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285 return result;
1
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286 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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287
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288 // Funny element by element division operations.
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289 //
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290 // op2 \ op1: s cs
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291 // +-- +---+----+
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292 // N-d array | 1 | 3 |
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293 // +---+----+
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294 // complex N-d array | 2 | 4 |
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295 // +---+----+
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296
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
297 NDArray
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298 x_el_div (double a, const NDArray& b)
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299 {
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diff changeset
300 NDArray result (b.dims ());
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301
5275
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302 for (octave_idx_type i = 0; i < b.length (); i++)
4543
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diff changeset
303 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
304 OCTAVE_QUIT;
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diff changeset
305 result (i) = a / b (i);
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diff changeset
306 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
307
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
308 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
309 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
310
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parents: 4153
diff changeset
311 ComplexNDArray
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312 x_el_div (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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313 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
314 ComplexNDArray result (b.dims ());
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315
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316 for (octave_idx_type i = 0; i < b.length (); i++)
4543
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317 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
318 OCTAVE_QUIT;
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diff changeset
319 result (i) = a / b (i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
320 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
321
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
322 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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parents: 4153
diff changeset
323 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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324
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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325 ComplexNDArray
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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326 x_el_div (const Complex a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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parents: 4153
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327 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
328 ComplexNDArray result (b.dims ());
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329
5275
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330 for (octave_idx_type i = 0; i < b.length (); i++)
4543
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331 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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diff changeset
332 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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333 result (i) = a / b (i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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334 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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335
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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336 return result;
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337 }
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338
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339 ComplexNDArray
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340 x_el_div (const Complex a, const ComplexNDArray& b)
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341 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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342 ComplexNDArray result (b.dims ());
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343
5275
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344 for (octave_idx_type i = 0; i < b.length (); i++)
4543
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345 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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346 OCTAVE_QUIT;
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347 result (i) = a / b (i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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348 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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349
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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350 return result;
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351 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
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352
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
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353 // Left division functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
354 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
355 // op2 \ op1: m cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
356 // +-- +---+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
357 // matrix | 1 | 3 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
358 // +---+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
359 // complex_matrix | 2 | 4 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
360 // +---+----+
1
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361
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
362 // -*- 1 -*-
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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363 Matrix
5785
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diff changeset
364 xleftdiv (const Matrix& a, const Matrix& b, MatrixType &typ)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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365 {
2364
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366 if (! mx_leftdiv_conform (a, b))
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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diff changeset
367 return Matrix ();
1
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368
5275
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369 octave_idx_type info;
5785
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370 double rcond = 0.0;
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371 return a.solve (typ, b, info, rcond, solve_singularity_warning);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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372 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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373
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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diff changeset
374 // -*- 2 -*-
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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375 ComplexMatrix
5785
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diff changeset
376 xleftdiv (const Matrix& a, const ComplexMatrix& b, MatrixType &typ)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
377 {
2364
5eb0af0730d6 [project @ 1996-10-11 22:57:03 by jwe]
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parents: 2305
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378 if (! mx_leftdiv_conform (a, b))
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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diff changeset
379 return ComplexMatrix ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
diff changeset
380
5275
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381 octave_idx_type info;
5785
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diff changeset
382 double rcond = 0.0;
3480
45742a3b1f7c [project @ 2000-01-26 06:16:41 by jwe]
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parents: 3195
diff changeset
383
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
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diff changeset
384 return a.solve (typ, b, info, rcond, solve_singularity_warning);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
385 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
386
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
387 // -*- 3 -*-
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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diff changeset
388 ComplexMatrix
5785
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diff changeset
389 xleftdiv (const ComplexMatrix& a, const Matrix& b, MatrixType &typ)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
390 {
2364
5eb0af0730d6 [project @ 1996-10-11 22:57:03 by jwe]
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parents: 2305
diff changeset
391 if (! mx_leftdiv_conform (a, b))
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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parents: 1742
diff changeset
392 return ComplexMatrix ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
diff changeset
393
5275
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394 octave_idx_type info;
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
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diff changeset
395 double rcond = 0.0;
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5307
diff changeset
396 return a.solve (typ, b, info, rcond, solve_singularity_warning);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
397 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
398
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
399 // -*- 4 -*-
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
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diff changeset
400 ComplexMatrix
5785
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parents: 5307
diff changeset
401 xleftdiv (const ComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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diff changeset
402 {
2364
5eb0af0730d6 [project @ 1996-10-11 22:57:03 by jwe]
jwe
parents: 2305
diff changeset
403 if (! mx_leftdiv_conform (a, b))
1800
024c75af53f1 [project @ 1996-01-29 05:55:45 by jwe]
jwe
parents: 1742
diff changeset
404 return ComplexMatrix ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
405
5275
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406 octave_idx_type info;
5785
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5307
diff changeset
407 double rcond = 0.0;
6b9cec830d72 [project @ 2006-05-03 19:32:46 by dbateman]
dbateman
parents: 5307
diff changeset
408 return a.solve (typ, b, info, rcond, solve_singularity_warning);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
409 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
diff changeset
410
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
411 static void
82be108cc558 First attempt at single precision tyeps
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diff changeset
412 solve_singularity_warning (float rcond)
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
413 {
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
414 warning ("matrix singular to machine precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
415 warning ("attempting to find minimum norm solution");
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
416 }
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
417
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
418 INSTANTIATE_MX_LEFTDIV_CONFORM (FloatMatrix, FloatMatrix);
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
419 INSTANTIATE_MX_LEFTDIV_CONFORM (FloatMatrix, FloatComplexMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
420 INSTANTIATE_MX_LEFTDIV_CONFORM (FloatComplexMatrix, FloatMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
421 INSTANTIATE_MX_LEFTDIV_CONFORM (FloatComplexMatrix, FloatComplexMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
422
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
423 INSTANTIATE_MX_DIV_CONFORM (FloatMatrix, FloatMatrix);
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
424 INSTANTIATE_MX_DIV_CONFORM (FloatMatrix, FloatComplexMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
425 INSTANTIATE_MX_DIV_CONFORM (FloatComplexMatrix, FloatMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
426 INSTANTIATE_MX_DIV_CONFORM (FloatComplexMatrix, FloatComplexMatrix);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
427
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
428 // Right division functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
429 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
430 // op2 / op1: m cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
431 // +-- +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
432 // matrix | 1 | 3 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
433 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
434 // complex_matrix | 2 | 4 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
435 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
436
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
437 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
438 FloatMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
439 xdiv (const FloatMatrix& a, const FloatMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
440 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
441 if (! mx_div_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
442 return FloatMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
443
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
444 FloatMatrix atmp = a.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
445 FloatMatrix btmp = b.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
446 MatrixType btyp = typ.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
447
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
448 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
449 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
450
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
451 FloatMatrix result
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
452 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
453
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
454 typ = btyp.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
455 return result.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
457
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
458 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
459 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
460 xdiv (const FloatMatrix& a, const FloatComplexMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
461 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
462 if (! mx_div_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
463 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
464
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
465 FloatMatrix atmp = a.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
466 FloatComplexMatrix btmp = b.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
467 MatrixType btyp = typ.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
468
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
469 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
470 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
471
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
472 FloatComplexMatrix result
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
473 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
474
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
475 typ = btyp.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
476 return result.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
477 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
478
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
479 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
480 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
481 xdiv (const FloatComplexMatrix& a, const FloatMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
482 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
483 if (! mx_div_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
484 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
485
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
486 FloatComplexMatrix atmp = a.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
487 FloatMatrix btmp = b.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
488 MatrixType btyp = typ.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
489
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
490 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
491 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
492
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
493 FloatComplexMatrix result
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
494 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
495
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
496 typ = btyp.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
497 return result.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
498 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
499
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
500 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
501 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
502 xdiv (const FloatComplexMatrix& a, const FloatComplexMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
503 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
504 if (! mx_div_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
505 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
506
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
507 FloatComplexMatrix atmp = a.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
508 FloatComplexMatrix btmp = b.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
509 MatrixType btyp = typ.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
510
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
511 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
512 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
513
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
514 FloatComplexMatrix result
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
515 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
516
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
517 typ = btyp.transpose ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
518 return result.hermitian ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
519 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
520
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
521 // Funny element by element division operations.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
522 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
523 // op2 \ op1: s cs
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
524 // +-- +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
525 // matrix | 1 | 3 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
526 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
527 // complex_matrix | 2 | 4 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
528 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
529
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
530 FloatMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
531 x_el_div (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
532 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
533 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
534 octave_idx_type nc = b.columns ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
535
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
536 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
537
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
538 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
539 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
540 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
541 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
542 result (i, j) = a / b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
543 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
544
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
545 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
546 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
547
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
548 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
549 x_el_div (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
550 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
551 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
552 octave_idx_type nc = b.columns ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
553
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
554 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
556 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
557 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
558 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
559 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
560 result (i, j) = a / b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
561 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
562
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
563 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
564 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
565
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
566 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
567 x_el_div (const FloatComplex a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
568 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
569 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
570 octave_idx_type nc = b.columns ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
571
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
572 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
573
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
574 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
575 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
576 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
577 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
578 result (i, j) = a / b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
579 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
580
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
581 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
582 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
583
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
584 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
585 x_el_div (const FloatComplex a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
586 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
587 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
588 octave_idx_type nc = b.columns ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
589
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
590 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
591
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
592 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
593 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
594 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
595 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
596 result (i, j) = a / b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
597 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
598
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
599 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
600 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
601
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
602 // Funny element by element division operations.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
603 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
604 // op2 \ op1: s cs
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
605 // +-- +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
606 // N-d array | 1 | 3 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
607 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
608 // complex N-d array | 2 | 4 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
609 // +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
610
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
611 FloatNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
612 x_el_div (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
613 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
614 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
615
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
616 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
617 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
618 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
619 result (i) = a / b (i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
620 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
621
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
622 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
623 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
624
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
625 FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
626 x_el_div (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
627 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
628 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
629
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
630 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
631 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
632 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
633 result (i) = a / b (i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
634 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
635
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
636 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
637 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
638
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
639 FloatComplexNDArray
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
640 x_el_div (const FloatComplex a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
641 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
642 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
643
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
644 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
645 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
646 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
647 result (i) = a / b (i);
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
648 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
649
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
650 return result;
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
651 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
652
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
653 FloatComplexNDArray
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
654 x_el_div (const FloatComplex a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
655 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
656 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
657
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
658 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
659 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
660 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
661 result (i) = a / b (i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
662 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
663
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
664 return result;
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
665 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
666
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
667 // Left division functions.
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parents: 7017
diff changeset
668 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
669 // op2 \ op1: m cm
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
670 // +-- +---+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
671 // matrix | 1 | 3 |
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parents: 7017
diff changeset
672 // +---+----+
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
673 // complex_matrix | 2 | 4 |
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parents: 7017
diff changeset
674 // +---+----+
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
675
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
676 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
677 FloatMatrix
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
678 xleftdiv (const FloatMatrix& a, const FloatMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
679 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
680 if (! mx_leftdiv_conform (a, b))
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
681 return FloatMatrix ();
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
683 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
684 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
685 return a.solve (typ, b, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
686 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
687
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
688 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
689 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
690 xleftdiv (const FloatMatrix& a, const FloatComplexMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
691 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
692 if (! mx_leftdiv_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
693 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
694
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
695 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
696 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
697
82be108cc558 First attempt at single precision tyeps
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parents: 7017
diff changeset
698 return a.solve (typ, b, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
699 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
700
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
701 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
702 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
703 xleftdiv (const FloatComplexMatrix& a, const FloatMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
704 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
705 if (! mx_leftdiv_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
706 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
707
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
708 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
709 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
710 return a.solve (typ, b, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
711 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
712
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
713 // -*- 4 -*-
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
714 FloatComplexMatrix
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
715 xleftdiv (const FloatComplexMatrix& a, const FloatComplexMatrix& b, MatrixType &typ)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
716 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
717 if (! mx_leftdiv_conform (a, b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
718 return FloatComplexMatrix ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
719
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
720 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
721 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
722 return a.solve (typ, b, info, rcond, solve_singularity_warning);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
723 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
724
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
725 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
726 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
727 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
728 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
729 */