Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 11130:7c573eb981eb
consistently give error for operator not applied to NaN values
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Thu, 21 Oct 2010 16:12:13 -0400 |
| parents | 3622db30ff05 |
| children | 5ea2644b0111 |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
| 8920 | 6 Copyright (C) 2008, 2009 Jaroslav Hajek |
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7 Copyright (C) 2009 VZLU Prague, a.s. |
| 458 | 8 |
| 9 This file is part of Octave. | |
| 10 | |
| 11 Octave is free software; you can redistribute it and/or modify it | |
| 12 under the terms of the GNU General Public License as published by the | |
| 7016 | 13 Free Software Foundation; either version 3 of the License, or (at your |
| 14 option) any later version. | |
| 458 | 15 |
| 16 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 19 for more details. | |
| 20 | |
| 21 You should have received a copy of the GNU General Public License | |
| 7016 | 22 along with Octave; see the file COPYING. If not, see |
| 23 <http://www.gnu.org/licenses/>. | |
| 458 | 24 |
| 25 */ | |
| 26 | |
| 27 #ifdef HAVE_CONFIG_H | |
| 1192 | 28 #include <config.h> |
| 458 | 29 #endif |
| 30 | |
| 1367 | 31 #include <cfloat> |
| 32 | |
| 3503 | 33 #include <iostream> |
| 6209 | 34 #include <vector> |
| 1367 | 35 |
| 5775 | 36 // FIXME |
| 2443 | 37 #include <sys/types.h> |
| 458 | 38 |
| 4669 | 39 #include "Array-util.h" |
| 2828 | 40 #include "CMatrix.h" |
| 1819 | 41 #include "CmplxAEPBAL.h" |
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42 #include "CmplxCHOL.h" |
| 1819 | 43 #include "CmplxSCHUR.h" |
| 740 | 44 #include "CmplxSVD.h" |
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45 #include "DET.h" |
| 1847 | 46 #include "f77-fcn.h" |
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47 #include "functor.h" |
| 458 | 48 #include "lo-error.h" |
| 2354 | 49 #include "lo-ieee.h" |
| 50 #include "lo-mappers.h" | |
| 1968 | 51 #include "lo-utils.h" |
| 1367 | 52 #include "mx-base.h" |
| 2828 | 53 #include "mx-cm-dm.h" |
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54 #include "mx-cm-s.h" |
| 3176 | 55 #include "mx-dm-cm.h" |
| 1367 | 56 #include "mx-inlines.cc" |
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57 #include "mx-op-defs.h" |
| 1650 | 58 #include "oct-cmplx.h" |
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59 #include "oct-fftw.h" |
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60 #include "oct-locbuf.h" |
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61 #include "oct-norm.h" |
| 458 | 62 |
| 63 // Fortran functions we call. | |
| 64 | |
| 65 extern "C" | |
| 66 { | |
| 7477 | 67 F77_RET_T |
| 68 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
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69 F77_CONST_CHAR_ARG_DECL, |
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70 const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, const octave_idx_type&, |
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72 octave_idx_type& |
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73 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); |
| 7476 | 74 |
| 4552 | 75 F77_RET_T |
| 76 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
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77 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
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78 octave_idx_type&, double*, octave_idx_type& |
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79 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 80 |
| 81 F77_RET_T | |
| 82 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
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83 F77_CONST_CHAR_ARG_DECL, |
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84 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
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85 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& |
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86 F77_CHAR_ARG_LEN_DECL |
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87 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 88 |
| 89 F77_RET_T | |
| 90 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
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91 F77_CONST_CHAR_ARG_DECL, |
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92 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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93 const Complex&, const Complex*, const octave_idx_type&, |
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94 const Complex*, const octave_idx_type&, const Complex&, |
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95 Complex*, const octave_idx_type& |
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96 F77_CHAR_ARG_LEN_DECL |
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97 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 98 |
| 99 F77_RET_T | |
| 5983 | 100 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 101 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 102 const Complex*, const octave_idx_type&, const Complex*, | |
| 103 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 104 F77_CHAR_ARG_LEN_DECL); | |
| 105 | |
| 106 F77_RET_T | |
| 107 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
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108 const Complex*, const octave_idx_type&, Complex&); |
| 5983 | 109 |
| 110 F77_RET_T | |
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111 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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112 const Complex*, const octave_idx_type&, Complex&); |
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113 |
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114 F77_RET_T |
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115 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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116 F77_CONST_CHAR_ARG_DECL, |
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117 const octave_idx_type&, const octave_idx_type&, |
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118 const Complex&, const Complex*, const octave_idx_type&, |
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119 const Complex&, Complex*, const octave_idx_type& |
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120 F77_CHAR_ARG_LEN_DECL |
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121 F77_CHAR_ARG_LEN_DECL); |
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122 |
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123 F77_RET_T |
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124 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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125 F77_CONST_CHAR_ARG_DECL, |
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126 const octave_idx_type&, const octave_idx_type&, |
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127 const double&, const Complex*, const octave_idx_type&, |
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128 const double&, Complex*, const octave_idx_type& |
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129 F77_CHAR_ARG_LEN_DECL |
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130 F77_CHAR_ARG_LEN_DECL); |
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131 |
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132 F77_RET_T |
| 5275 | 133 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
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134 octave_idx_type*, octave_idx_type&); |
| 4552 | 135 |
| 136 F77_RET_T | |
| 137 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
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138 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
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139 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& |
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140 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 141 |
| 142 F77_RET_T | |
| 5275 | 143 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
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144 Complex*, const octave_idx_type&, octave_idx_type&); |
| 4552 | 145 |
| 146 F77_RET_T | |
| 147 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
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148 const octave_idx_type&, Complex*, |
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149 const octave_idx_type&, const double&, double&, |
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150 Complex*, double*, octave_idx_type& |
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151 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 152 |
| 153 F77_RET_T | |
| 7072 | 154 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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155 Complex*, const octave_idx_type&, Complex*, |
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156 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, |
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157 Complex*, const octave_idx_type&, double*, octave_idx_type&); |
| 7072 | 158 |
| 159 F77_RET_T | |
| 160 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
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161 Complex*, const octave_idx_type&, Complex*, |
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162 const octave_idx_type&, double*, double&, octave_idx_type&, |
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163 Complex*, const octave_idx_type&, double*, |
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164 octave_idx_type*, octave_idx_type&); |
| 458 | 165 |
| 5785 | 166 F77_RET_T |
| 167 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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168 Complex*, const octave_idx_type&, |
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169 octave_idx_type& F77_CHAR_ARG_LEN_DECL); |
| 5785 | 170 |
| 171 F77_RET_T | |
| 172 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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173 Complex*, const octave_idx_type&, const double&, |
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174 double&, Complex*, double*, |
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175 octave_idx_type& F77_CHAR_ARG_LEN_DECL); |
| 5785 | 176 |
| 177 F77_RET_T | |
| 178 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
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179 const octave_idx_type&, const Complex*, |
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180 const octave_idx_type&, Complex*, |
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181 const octave_idx_type&, octave_idx_type& |
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182 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 183 |
| 184 F77_RET_T | |
| 6207 | 185 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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186 const octave_idx_type&, const Complex*, |
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187 const octave_idx_type&, octave_idx_type& |
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188 F77_CHAR_ARG_LEN_DECL |
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189 F77_CHAR_ARG_LEN_DECL); |
| 6207 | 190 |
| 191 F77_RET_T | |
| 5785 | 192 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
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193 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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194 const Complex*, const octave_idx_type&, double&, |
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195 Complex*, double*, octave_idx_type& |
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196 F77_CHAR_ARG_LEN_DECL |
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197 F77_CHAR_ARG_LEN_DECL |
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198 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 199 |
| 200 F77_RET_T | |
| 201 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
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202 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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203 const octave_idx_type&, const Complex*, |
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204 const octave_idx_type&, Complex*, |
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205 const octave_idx_type&, octave_idx_type& |
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206 F77_CHAR_ARG_LEN_DECL |
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207 F77_CHAR_ARG_LEN_DECL |
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208 F77_CHAR_ARG_LEN_DECL); |
| 5785 | 209 |
| 4552 | 210 F77_RET_T |
| 211 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
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212 double&, Complex&, Complex&); |
| 4552 | 213 |
| 214 F77_RET_T | |
| 215 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
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216 F77_CONST_CHAR_ARG_DECL, |
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217 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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218 const Complex*, const octave_idx_type&, |
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219 const Complex*, const octave_idx_type&, |
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220 const Complex*, const octave_idx_type&, double&, octave_idx_type& |
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221 F77_CHAR_ARG_LEN_DECL |
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222 F77_CHAR_ARG_LEN_DECL); |
| 4552 | 223 |
| 224 F77_RET_T | |
| 225 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
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226 const octave_idx_type&, const octave_idx_type&, const Complex*, |
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227 const octave_idx_type&, double*, double& |
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228 F77_CHAR_ARG_LEN_DECL); |
| 458 | 229 } |
| 230 | |
| 2354 | 231 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 232 | |
| 1360 | 233 // Complex Matrix class |
| 458 | 234 |
| 235 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
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236 : MArray<Complex> (a) |
| 458 | 237 { |
| 238 } | |
| 239 | |
| 2349 | 240 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
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241 : MArray<Complex> (rv) |
| 2349 | 242 { |
| 243 } | |
| 244 | |
| 245 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
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246 : MArray<Complex> (cv) |
| 2349 | 247 { |
| 248 } | |
| 249 | |
| 458 | 250 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
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251 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 252 { |
| 5275 | 253 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 254 elem (i, i) = a.elem (i, i); |
| 255 } | |
| 256 | |
| 2349 | 257 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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258 : MArray<Complex> (rv) |
| 2349 | 259 { |
| 260 } | |
| 261 | |
| 262 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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263 : MArray<Complex> (cv) |
| 2349 | 264 { |
| 265 } | |
| 266 | |
| 458 | 267 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
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268 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 269 { |
| 5275 | 270 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 271 elem (i, i) = a.elem (i, i); |
| 272 } | |
| 273 | |
| 5775 | 274 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 275 // here? |
| 276 | |
| 2828 | 277 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
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278 : MArray<Complex> (a) |
| 2828 | 279 { |
| 280 } | |
| 281 | |
| 1574 | 282 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
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283 : MArray<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 284 { |
| 5275 | 285 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 286 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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287 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 288 } |
| 289 | |
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290 ComplexMatrix::ComplexMatrix (const Matrix& re, const Matrix& im) |
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291 : MArray<Complex> (re.rows (), re.cols ()) |
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292 { |
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293 if (im.rows () != rows () || im.cols () != cols ()) |
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294 (*current_liboctave_error_handler) ("complex: internal error"); |
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295 |
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296 octave_idx_type nel = numel (); |
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297 for (octave_idx_type i = 0; i < nel; i++) |
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298 xelem (i) = Complex (re(i), im(i)); |
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299 } |
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300 |
| 2384 | 301 bool |
| 458 | 302 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 303 { | |
| 304 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 305 return false; |
| 458 | 306 |
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307 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 308 } |
| 309 | |
| 2384 | 310 bool |
| 458 | 311 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 312 { | |
| 313 return !(*this == a); | |
| 314 } | |
| 315 | |
| 2815 | 316 bool |
| 317 ComplexMatrix::is_hermitian (void) const | |
| 318 { | |
| 5275 | 319 octave_idx_type nr = rows (); |
| 320 octave_idx_type nc = cols (); | |
| 2815 | 321 |
| 322 if (is_square () && nr > 0) | |
| 323 { | |
| 5275 | 324 for (octave_idx_type i = 0; i < nr; i++) |
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325 for (octave_idx_type j = i; j < nc; j++) |
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326 if (elem (i, j) != conj (elem (j, i))) |
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327 return false; |
| 2815 | 328 |
| 329 return true; | |
| 330 } | |
| 331 | |
| 332 return false; | |
| 333 } | |
| 334 | |
| 458 | 335 // destructive insert/delete/reorder operations |
| 336 | |
| 337 ComplexMatrix& | |
| 5275 | 338 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 339 { |
| 5275 | 340 octave_idx_type a_nr = a.rows (); |
| 341 octave_idx_type a_nc = a.cols (); | |
| 1699 | 342 |
| 343 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 344 { |
| 345 (*current_liboctave_error_handler) ("range error for insert"); | |
| 346 return *this; | |
| 347 } | |
| 348 | |
| 4316 | 349 if (a_nr >0 && a_nc > 0) |
| 350 { | |
| 351 make_unique (); | |
| 352 | |
| 5275 | 353 for (octave_idx_type j = 0; j < a_nc; j++) |
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354 for (octave_idx_type i = 0; i < a_nr; i++) |
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355 xelem (r+i, c+j) = a.elem (i, j); |
| 4316 | 356 } |
| 458 | 357 |
| 358 return *this; | |
| 359 } | |
| 360 | |
| 361 ComplexMatrix& | |
| 5275 | 362 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 363 { |
| 5275 | 364 octave_idx_type a_len = a.length (); |
| 4316 | 365 |
| 1699 | 366 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 367 { |
| 368 (*current_liboctave_error_handler) ("range error for insert"); | |
| 369 return *this; | |
| 370 } | |
| 371 | |
| 4316 | 372 if (a_len > 0) |
| 373 { | |
| 374 make_unique (); | |
| 375 | |
| 5275 | 376 for (octave_idx_type i = 0; i < a_len; i++) |
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377 xelem (r, c+i) = a.elem (i); |
| 4316 | 378 } |
| 458 | 379 |
| 380 return *this; | |
| 381 } | |
| 382 | |
| 383 ComplexMatrix& | |
| 5275 | 384 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 385 { |
| 5275 | 386 octave_idx_type a_len = a.length (); |
| 4316 | 387 |
| 1699 | 388 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 389 { |
| 390 (*current_liboctave_error_handler) ("range error for insert"); | |
| 391 return *this; | |
| 392 } | |
| 393 | |
| 4316 | 394 if (a_len > 0) |
| 395 { | |
| 396 make_unique (); | |
| 397 | |
| 5275 | 398 for (octave_idx_type i = 0; i < a_len; i++) |
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399 xelem (r+i, c) = a.elem (i); |
| 4316 | 400 } |
| 458 | 401 |
| 402 return *this; | |
| 403 } | |
| 404 | |
| 405 ComplexMatrix& | |
| 5275 | 406 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 407 { |
| 5275 | 408 octave_idx_type a_nr = a.rows (); |
| 409 octave_idx_type a_nc = a.cols (); | |
| 1699 | 410 |
| 411 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 412 { |
| 413 (*current_liboctave_error_handler) ("range error for insert"); | |
| 414 return *this; | |
| 415 } | |
| 416 | |
| 1699 | 417 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 418 | |
| 5275 | 419 octave_idx_type a_len = a.length (); |
| 4316 | 420 |
| 421 if (a_len > 0) | |
| 422 { | |
| 423 make_unique (); | |
| 424 | |
| 5275 | 425 for (octave_idx_type i = 0; i < a_len; i++) |
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426 xelem (r+i, c+i) = a.elem (i, i); |
| 4316 | 427 } |
| 458 | 428 |
| 429 return *this; | |
| 430 } | |
| 431 | |
| 432 ComplexMatrix& | |
| 5275 | 433 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 434 { |
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435 Array<Complex>::insert (a, r, c); |
| 458 | 436 return *this; |
| 437 } | |
| 438 | |
| 439 ComplexMatrix& | |
| 5275 | 440 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 441 { |
| 5275 | 442 octave_idx_type a_len = a.length (); |
| 1699 | 443 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 444 { |
| 445 (*current_liboctave_error_handler) ("range error for insert"); | |
| 446 return *this; | |
| 447 } | |
| 448 | |
| 5275 | 449 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 450 elem (r, c+i) = a.elem (i); |
| 451 | |
| 452 return *this; | |
| 453 } | |
| 454 | |
| 455 ComplexMatrix& | |
| 5275 | 456 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 457 { |
| 5275 | 458 octave_idx_type a_len = a.length (); |
| 4316 | 459 |
| 1699 | 460 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 461 { |
| 462 (*current_liboctave_error_handler) ("range error for insert"); | |
| 463 return *this; | |
| 464 } | |
| 465 | |
| 4316 | 466 if (a_len > 0) |
| 467 { | |
| 468 make_unique (); | |
| 469 | |
| 5275 | 470 for (octave_idx_type i = 0; i < a_len; i++) |
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471 xelem (r+i, c) = a.elem (i); |
| 4316 | 472 } |
| 458 | 473 |
| 474 return *this; | |
| 475 } | |
| 476 | |
| 477 ComplexMatrix& | |
| 5275 | 478 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 479 { |
| 5275 | 480 octave_idx_type a_nr = a.rows (); |
| 481 octave_idx_type a_nc = a.cols (); | |
| 1699 | 482 |
| 483 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 484 { |
| 485 (*current_liboctave_error_handler) ("range error for insert"); | |
| 486 return *this; | |
| 487 } | |
| 488 | |
| 1699 | 489 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 490 | |
| 5275 | 491 octave_idx_type a_len = a.length (); |
| 4316 | 492 |
| 493 if (a_len > 0) | |
| 494 { | |
| 495 make_unique (); | |
| 496 | |
| 5275 | 497 for (octave_idx_type i = 0; i < a_len; i++) |
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498 xelem (r+i, c+i) = a.elem (i, i); |
| 4316 | 499 } |
| 458 | 500 |
| 501 return *this; | |
| 502 } | |
| 503 | |
| 504 ComplexMatrix& | |
| 505 ComplexMatrix::fill (double val) | |
| 506 { | |
| 5275 | 507 octave_idx_type nr = rows (); |
| 508 octave_idx_type nc = cols (); | |
| 4316 | 509 |
| 458 | 510 if (nr > 0 && nc > 0) |
| 4316 | 511 { |
| 512 make_unique (); | |
| 513 | |
| 5275 | 514 for (octave_idx_type j = 0; j < nc; j++) |
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515 for (octave_idx_type i = 0; i < nr; i++) |
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516 xelem (i, j) = val; |
| 4316 | 517 } |
| 458 | 518 |
| 519 return *this; | |
| 520 } | |
| 521 | |
| 522 ComplexMatrix& | |
| 523 ComplexMatrix::fill (const Complex& val) | |
| 524 { | |
| 5275 | 525 octave_idx_type nr = rows (); |
| 526 octave_idx_type nc = cols (); | |
| 4316 | 527 |
| 458 | 528 if (nr > 0 && nc > 0) |
| 4316 | 529 { |
| 530 make_unique (); | |
| 531 | |
| 5275 | 532 for (octave_idx_type j = 0; j < nc; j++) |
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533 for (octave_idx_type i = 0; i < nr; i++) |
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534 xelem (i, j) = val; |
| 4316 | 535 } |
| 458 | 536 |
| 537 return *this; | |
| 538 } | |
| 539 | |
| 540 ComplexMatrix& | |
| 5275 | 541 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 542 { |
| 5275 | 543 octave_idx_type nr = rows (); |
| 544 octave_idx_type nc = cols (); | |
| 4316 | 545 |
| 458 | 546 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 547 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 548 { | |
| 549 (*current_liboctave_error_handler) ("range error for fill"); | |
| 550 return *this; | |
| 551 } | |
| 552 | |
| 5275 | 553 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 554 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 555 |
| 4316 | 556 if (r2 >= r1 && c2 >= c1) |
| 557 { | |
| 558 make_unique (); | |
| 559 | |
| 5275 | 560 for (octave_idx_type j = c1; j <= c2; j++) |
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561 for (octave_idx_type i = r1; i <= r2; i++) |
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562 xelem (i, j) = val; |
| 4316 | 563 } |
| 458 | 564 |
| 565 return *this; | |
| 566 } | |
| 567 | |
| 568 ComplexMatrix& | |
| 5275 | 569 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 570 { |
| 5275 | 571 octave_idx_type nr = rows (); |
| 572 octave_idx_type nc = cols (); | |
| 4316 | 573 |
| 458 | 574 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 575 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 576 { | |
| 577 (*current_liboctave_error_handler) ("range error for fill"); | |
| 578 return *this; | |
| 579 } | |
| 580 | |
| 5275 | 581 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 582 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 583 |
| 4316 | 584 if (r2 >= r1 && c2 >=c1) |
| 585 { | |
| 586 make_unique (); | |
| 587 | |
| 5275 | 588 for (octave_idx_type j = c1; j <= c2; j++) |
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589 for (octave_idx_type i = r1; i <= r2; i++) |
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590 xelem (i, j) = val; |
| 4316 | 591 } |
| 458 | 592 |
| 593 return *this; | |
| 594 } | |
| 595 | |
| 596 ComplexMatrix | |
| 597 ComplexMatrix::append (const Matrix& a) const | |
| 598 { | |
| 5275 | 599 octave_idx_type nr = rows (); |
| 600 octave_idx_type nc = cols (); | |
| 458 | 601 if (nr != a.rows ()) |
| 602 { | |
| 603 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 604 return *this; | |
| 605 } | |
| 606 | |
| 5275 | 607 octave_idx_type nc_insert = nc; |
| 458 | 608 ComplexMatrix retval (nr, nc + a.cols ()); |
| 609 retval.insert (*this, 0, 0); | |
| 610 retval.insert (a, 0, nc_insert); | |
| 611 return retval; | |
| 612 } | |
| 613 | |
| 614 ComplexMatrix | |
| 615 ComplexMatrix::append (const RowVector& a) const | |
| 616 { | |
| 5275 | 617 octave_idx_type nr = rows (); |
| 618 octave_idx_type nc = cols (); | |
| 458 | 619 if (nr != 1) |
| 620 { | |
| 621 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 622 return *this; | |
| 623 } | |
| 624 | |
| 5275 | 625 octave_idx_type nc_insert = nc; |
| 458 | 626 ComplexMatrix retval (nr, nc + a.length ()); |
| 627 retval.insert (*this, 0, 0); | |
| 628 retval.insert (a, 0, nc_insert); | |
| 629 return retval; | |
| 630 } | |
| 631 | |
| 632 ComplexMatrix | |
| 633 ComplexMatrix::append (const ColumnVector& a) const | |
| 634 { | |
| 5275 | 635 octave_idx_type nr = rows (); |
| 636 octave_idx_type nc = cols (); | |
| 458 | 637 if (nr != a.length ()) |
| 638 { | |
| 639 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 640 return *this; | |
| 641 } | |
| 642 | |
| 5275 | 643 octave_idx_type nc_insert = nc; |
| 458 | 644 ComplexMatrix retval (nr, nc + 1); |
| 645 retval.insert (*this, 0, 0); | |
| 646 retval.insert (a, 0, nc_insert); | |
| 647 return retval; | |
| 648 } | |
| 649 | |
| 650 ComplexMatrix | |
| 651 ComplexMatrix::append (const DiagMatrix& a) const | |
| 652 { | |
| 5275 | 653 octave_idx_type nr = rows (); |
| 654 octave_idx_type nc = cols (); | |
| 458 | 655 if (nr != a.rows ()) |
| 656 { | |
| 657 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 658 return *this; | |
| 659 } | |
| 660 | |
| 5275 | 661 octave_idx_type nc_insert = nc; |
| 458 | 662 ComplexMatrix retval (nr, nc + a.cols ()); |
| 663 retval.insert (*this, 0, 0); | |
| 664 retval.insert (a, 0, nc_insert); | |
| 665 return retval; | |
| 666 } | |
| 667 | |
| 668 ComplexMatrix | |
| 669 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 670 { | |
| 5275 | 671 octave_idx_type nr = rows (); |
| 672 octave_idx_type nc = cols (); | |
| 458 | 673 if (nr != a.rows ()) |
| 674 { | |
| 675 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 676 return *this; | |
| 677 } | |
| 678 | |
| 5275 | 679 octave_idx_type nc_insert = nc; |
| 458 | 680 ComplexMatrix retval (nr, nc + a.cols ()); |
| 681 retval.insert (*this, 0, 0); | |
| 682 retval.insert (a, 0, nc_insert); | |
| 683 return retval; | |
| 684 } | |
| 685 | |
| 686 ComplexMatrix | |
| 687 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 688 { | |
| 5275 | 689 octave_idx_type nr = rows (); |
| 690 octave_idx_type nc = cols (); | |
| 458 | 691 if (nr != 1) |
| 692 { | |
| 693 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 694 return *this; | |
| 695 } | |
| 696 | |
| 5275 | 697 octave_idx_type nc_insert = nc; |
| 458 | 698 ComplexMatrix retval (nr, nc + a.length ()); |
| 699 retval.insert (*this, 0, 0); | |
| 700 retval.insert (a, 0, nc_insert); | |
| 701 return retval; | |
| 702 } | |
| 703 | |
| 704 ComplexMatrix | |
| 705 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 706 { | |
| 5275 | 707 octave_idx_type nr = rows (); |
| 708 octave_idx_type nc = cols (); | |
| 458 | 709 if (nr != a.length ()) |
| 710 { | |
| 711 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 712 return *this; | |
| 713 } | |
| 714 | |
| 5275 | 715 octave_idx_type nc_insert = nc; |
| 458 | 716 ComplexMatrix retval (nr, nc + 1); |
| 717 retval.insert (*this, 0, 0); | |
| 718 retval.insert (a, 0, nc_insert); | |
| 719 return retval; | |
| 720 } | |
| 721 | |
| 722 ComplexMatrix | |
| 723 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 724 { | |
| 5275 | 725 octave_idx_type nr = rows (); |
| 726 octave_idx_type nc = cols (); | |
| 458 | 727 if (nr != a.rows ()) |
| 728 { | |
| 729 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 730 return *this; | |
| 731 } | |
| 732 | |
| 5275 | 733 octave_idx_type nc_insert = nc; |
| 458 | 734 ComplexMatrix retval (nr, nc + a.cols ()); |
| 735 retval.insert (*this, 0, 0); | |
| 736 retval.insert (a, 0, nc_insert); | |
| 737 return retval; | |
| 738 } | |
| 739 | |
| 740 ComplexMatrix | |
| 741 ComplexMatrix::stack (const Matrix& a) const | |
| 742 { | |
| 5275 | 743 octave_idx_type nr = rows (); |
| 744 octave_idx_type nc = cols (); | |
| 458 | 745 if (nc != a.cols ()) |
| 746 { | |
| 747 (*current_liboctave_error_handler) | |
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748 ("column dimension mismatch for stack"); |
| 458 | 749 return *this; |
| 750 } | |
| 751 | |
| 5275 | 752 octave_idx_type nr_insert = nr; |
| 458 | 753 ComplexMatrix retval (nr + a.rows (), nc); |
| 754 retval.insert (*this, 0, 0); | |
| 755 retval.insert (a, nr_insert, 0); | |
| 756 return retval; | |
| 757 } | |
| 758 | |
| 759 ComplexMatrix | |
| 760 ComplexMatrix::stack (const RowVector& a) const | |
| 761 { | |
| 5275 | 762 octave_idx_type nr = rows (); |
| 763 octave_idx_type nc = cols (); | |
| 458 | 764 if (nc != a.length ()) |
| 765 { | |
| 766 (*current_liboctave_error_handler) | |
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767 ("column dimension mismatch for stack"); |
| 458 | 768 return *this; |
| 769 } | |
| 770 | |
| 5275 | 771 octave_idx_type nr_insert = nr; |
| 458 | 772 ComplexMatrix retval (nr + 1, nc); |
| 773 retval.insert (*this, 0, 0); | |
| 774 retval.insert (a, nr_insert, 0); | |
| 775 return retval; | |
| 776 } | |
| 777 | |
| 778 ComplexMatrix | |
| 779 ComplexMatrix::stack (const ColumnVector& a) const | |
| 780 { | |
| 5275 | 781 octave_idx_type nr = rows (); |
| 782 octave_idx_type nc = cols (); | |
| 458 | 783 if (nc != 1) |
| 784 { | |
| 785 (*current_liboctave_error_handler) | |
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786 ("column dimension mismatch for stack"); |
| 458 | 787 return *this; |
| 788 } | |
| 789 | |
| 5275 | 790 octave_idx_type nr_insert = nr; |
| 458 | 791 ComplexMatrix retval (nr + a.length (), nc); |
| 792 retval.insert (*this, 0, 0); | |
| 793 retval.insert (a, nr_insert, 0); | |
| 794 return retval; | |
| 795 } | |
| 796 | |
| 797 ComplexMatrix | |
| 798 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 799 { | |
| 5275 | 800 octave_idx_type nr = rows (); |
| 801 octave_idx_type nc = cols (); | |
| 458 | 802 if (nc != a.cols ()) |
| 803 { | |
| 804 (*current_liboctave_error_handler) | |
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805 ("column dimension mismatch for stack"); |
| 458 | 806 return *this; |
| 807 } | |
| 808 | |
| 5275 | 809 octave_idx_type nr_insert = nr; |
| 458 | 810 ComplexMatrix retval (nr + a.rows (), nc); |
| 811 retval.insert (*this, 0, 0); | |
| 812 retval.insert (a, nr_insert, 0); | |
| 813 return retval; | |
| 814 } | |
| 815 | |
| 816 ComplexMatrix | |
| 817 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 818 { | |
| 5275 | 819 octave_idx_type nr = rows (); |
| 820 octave_idx_type nc = cols (); | |
| 458 | 821 if (nc != a.cols ()) |
| 822 { | |
| 823 (*current_liboctave_error_handler) | |
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824 ("column dimension mismatch for stack"); |
| 458 | 825 return *this; |
| 826 } | |
| 827 | |
| 5275 | 828 octave_idx_type nr_insert = nr; |
| 458 | 829 ComplexMatrix retval (nr + a.rows (), nc); |
| 830 retval.insert (*this, 0, 0); | |
| 831 retval.insert (a, nr_insert, 0); | |
| 832 return retval; | |
| 833 } | |
| 834 | |
| 835 ComplexMatrix | |
| 836 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 837 { | |
| 5275 | 838 octave_idx_type nr = rows (); |
| 839 octave_idx_type nc = cols (); | |
| 458 | 840 if (nc != a.length ()) |
| 841 { | |
| 842 (*current_liboctave_error_handler) | |
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843 ("column dimension mismatch for stack"); |
| 458 | 844 return *this; |
| 845 } | |
| 846 | |
| 5275 | 847 octave_idx_type nr_insert = nr; |
| 458 | 848 ComplexMatrix retval (nr + 1, nc); |
| 849 retval.insert (*this, 0, 0); | |
| 850 retval.insert (a, nr_insert, 0); | |
| 851 return retval; | |
| 852 } | |
| 853 | |
| 854 ComplexMatrix | |
| 855 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 856 { | |
| 5275 | 857 octave_idx_type nr = rows (); |
| 858 octave_idx_type nc = cols (); | |
| 458 | 859 if (nc != 1) |
| 860 { | |
| 861 (*current_liboctave_error_handler) | |
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862 ("column dimension mismatch for stack"); |
| 458 | 863 return *this; |
| 864 } | |
| 865 | |
| 5275 | 866 octave_idx_type nr_insert = nr; |
| 458 | 867 ComplexMatrix retval (nr + a.length (), nc); |
| 868 retval.insert (*this, 0, 0); | |
| 869 retval.insert (a, nr_insert, 0); | |
| 870 return retval; | |
| 871 } | |
| 872 | |
| 873 ComplexMatrix | |
| 874 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 875 { | |
| 5275 | 876 octave_idx_type nr = rows (); |
| 877 octave_idx_type nc = cols (); | |
| 458 | 878 if (nc != a.cols ()) |
| 879 { | |
| 880 (*current_liboctave_error_handler) | |
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881 ("column dimension mismatch for stack"); |
| 458 | 882 return *this; |
| 883 } | |
| 884 | |
| 5275 | 885 octave_idx_type nr_insert = nr; |
| 458 | 886 ComplexMatrix retval (nr + a.rows (), nc); |
| 887 retval.insert (*this, 0, 0); | |
| 888 retval.insert (a, nr_insert, 0); | |
| 889 return retval; | |
| 890 } | |
| 891 | |
| 892 ComplexMatrix | |
| 893 conj (const ComplexMatrix& a) | |
| 894 { | |
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895 return do_mx_unary_map<Complex, Complex, std::conj> (a); |
| 458 | 896 } |
| 897 | |
| 898 // resize is the destructive equivalent for this one | |
| 899 | |
| 900 ComplexMatrix | |
| 5275 | 901 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 902 { |
| 5275 | 903 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 904 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 905 | |
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906 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); |
| 4316 | 907 } |
| 908 | |
| 909 ComplexMatrix | |
| 5275 | 910 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 911 { |
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912 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); |
| 458 | 913 } |
| 914 | |
| 915 // extract row or column i. | |
| 916 | |
| 917 ComplexRowVector | |
| 5275 | 918 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 919 { |
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920 return index (idx_vector (i), idx_vector::colon); |
| 458 | 921 } |
| 922 | |
| 923 ComplexColumnVector | |
| 5275 | 924 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 925 { |
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926 return index (idx_vector::colon, idx_vector (i)); |
| 458 | 927 } |
| 928 | |
| 929 ComplexMatrix | |
| 930 ComplexMatrix::inverse (void) const | |
| 931 { | |
| 5275 | 932 octave_idx_type info; |
| 7788 | 933 double rcon; |
| 6207 | 934 MatrixType mattype (*this); |
| 7788 | 935 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 936 } |
| 937 | |
| 938 ComplexMatrix | |
| 6479 | 939 ComplexMatrix::inverse (octave_idx_type& info) const |
| 940 { | |
| 7788 | 941 double rcon; |
| 6479 | 942 MatrixType mattype (*this); |
| 7788 | 943 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 944 } |
| 945 | |
| 946 ComplexMatrix | |
| 7788 | 947 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
|
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948 int calc_cond) const |
| 6479 | 949 { |
| 950 MatrixType mattype (*this); | |
| 7788 | 951 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 952 } |
| 953 | |
| 954 ComplexMatrix | |
| 6207 | 955 ComplexMatrix::inverse (MatrixType &mattype) const |
| 956 { | |
| 957 octave_idx_type info; | |
| 7788 | 958 double rcon; |
| 959 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 960 } |
| 961 | |
| 962 ComplexMatrix | |
| 963 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 964 { | |
| 7788 | 965 double rcon; |
| 966 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 967 } |
| 968 | |
| 969 ComplexMatrix | |
| 6207 | 970 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
|
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971 double& rcon, int force, int calc_cond) const |
| 458 | 972 { |
| 6207 | 973 ComplexMatrix retval; |
| 974 | |
| 975 octave_idx_type nr = rows (); | |
| 976 octave_idx_type nc = cols (); | |
| 977 | |
| 978 if (nr != nc || nr == 0 || nc == 0) | |
| 979 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 980 else | |
| 981 { | |
| 982 int typ = mattype.type (); | |
| 983 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 984 char udiag = 'N'; | |
| 985 retval = *this; | |
| 986 Complex *tmp_data = retval.fortran_vec (); | |
| 987 | |
| 988 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
|
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989 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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990 nr, tmp_data, nr, info |
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991 F77_CHAR_ARG_LEN (1) |
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992 F77_CHAR_ARG_LEN (1))); |
| 6207 | 993 |
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994 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 995 rcon = 0.0; |
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996 if (info != 0) |
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997 info = -1; |
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998 else if (calc_cond) |
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999 { |
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1000 octave_idx_type ztrcon_info = 0; |
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1001 char job = '1'; |
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1002 |
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1003 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1004 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1005 |
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1006 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1007 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1008 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1009 nr, tmp_data, nr, rcon, |
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1010 cwork, rwork, ztrcon_info |
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1011 F77_CHAR_ARG_LEN (1) |
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1012 F77_CHAR_ARG_LEN (1) |
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1013 F77_CHAR_ARG_LEN (1))); |
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1014 |
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1015 if (ztrcon_info != 0) |
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1016 info = -1; |
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1017 } |
| 6207 | 1018 |
| 1019 if (info == -1 && ! force) | |
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1020 retval = *this; // Restore matrix contents. |
| 6207 | 1021 } |
| 1022 | |
| 1023 return retval; | |
| 458 | 1024 } |
| 1025 | |
| 1026 ComplexMatrix | |
| 6207 | 1027 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
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1028 double& rcon, int force, int calc_cond) const |
| 458 | 1029 { |
| 1948 | 1030 ComplexMatrix retval; |
| 1031 | |
| 5275 | 1032 octave_idx_type nr = rows (); |
| 1033 octave_idx_type nc = cols (); | |
| 1948 | 1034 |
| 458 | 1035 if (nr != nc) |
| 1948 | 1036 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1037 else |
| 1038 { | |
|
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1039 Array<octave_idx_type> ipvt (nr, 1); |
| 5275 | 1040 octave_idx_type *pipvt = ipvt.fortran_vec (); |
| 1948 | 1041 |
| 1042 retval = *this; | |
| 1043 Complex *tmp_data = retval.fortran_vec (); | |
| 1044 | |
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1045 Array<Complex> z(1, 1); |
| 5275 | 1046 octave_idx_type lwork = -1; |
| 4330 | 1047 |
| 1048 // Query the optimum work array size. | |
| 4329 | 1049 |
| 1050 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
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1051 z.fortran_vec (), lwork, info)); |
| 4329 | 1052 |
| 5315 | 1053 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1054 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
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1055 z.resize (lwork, 1); |
| 4329 | 1056 Complex *pz = z.fortran_vec (); |
| 1057 | |
| 1058 info = 0; | |
| 1059 | |
| 4330 | 1060 // Calculate the norm of the matrix, for later use. |
| 4329 | 1061 double anorm; |
| 1062 if (calc_cond) | |
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1063 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1064 |
| 1065 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1066 |
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1067 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1068 rcon = 0.0; |
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1069 if (info != 0) |
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1070 info = -1; |
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1071 else if (calc_cond) |
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1072 { |
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1073 // Now calculate the condition number for non-singular matrix. |
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1074 octave_idx_type zgecon_info = 0; |
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1075 char job = '1'; |
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1076 Array<double> rz (2 * nc, 1); |
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1077 double *prz = rz.fortran_vec (); |
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1078 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1079 nc, tmp_data, nr, anorm, |
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1080 rcon, pz, prz, zgecon_info |
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1081 F77_CHAR_ARG_LEN (1))); |
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1082 |
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1083 if (zgecon_info != 0) |
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1084 info = -1; |
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1085 } |
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1086 |
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1087 if (info == -1 && ! force) |
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1088 retval = *this; // Restore contents. |
| 1948 | 1089 else |
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1090 { |
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1091 octave_idx_type zgetri_info = 0; |
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1092 |
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1093 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1094 pz, lwork, zgetri_info)); |
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1095 |
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1096 if (zgetri_info != 0) |
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1097 info = -1; |
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1098 } |
| 6207 | 1099 |
| 1100 if (info != 0) | |
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1101 mattype.mark_as_rectangular(); |
| 458 | 1102 } |
| 4329 | 1103 |
| 1948 | 1104 return retval; |
| 458 | 1105 } |
| 1106 | |
| 1107 ComplexMatrix | |
| 6207 | 1108 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
|
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1109 double& rcon, int force, int calc_cond) const |
| 6207 | 1110 { |
| 1111 int typ = mattype.type (false); | |
| 1112 ComplexMatrix ret; | |
| 1113 | |
| 1114 if (typ == MatrixType::Unknown) | |
| 1115 typ = mattype.type (*this); | |
| 1116 | |
| 1117 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1118 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1119 else |
| 6207 | 1120 { |
| 1121 if (mattype.is_hermitian ()) | |
|
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1122 { |
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1123 ComplexCHOL chol (*this, info, calc_cond); |
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1124 if (info == 0) |
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1125 { |
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1126 if (calc_cond) |
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1127 rcon = chol.rcond(); |
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1128 else |
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1129 rcon = 1.0; |
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1130 ret = chol.inverse (); |
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1131 } |
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1132 else |
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1133 mattype.mark_as_unsymmetric (); |
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1134 } |
| 6207 | 1135 |
| 1136 if (!mattype.is_hermitian ()) | |
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1137 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 7788 | 1138 |
| 1139 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
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1140 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1141 } |
| 1142 | |
| 1143 return ret; | |
| 1144 } | |
| 1145 | |
| 1146 ComplexMatrix | |
| 4384 | 1147 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1148 { |
| 1549 | 1149 ComplexMatrix retval; |
| 1150 | |
| 3480 | 1151 ComplexSVD result (*this, SVD::economy); |
| 740 | 1152 |
| 1153 DiagMatrix S = result.singular_values (); | |
| 1154 ComplexMatrix U = result.left_singular_matrix (); | |
| 1155 ComplexMatrix V = result.right_singular_matrix (); | |
| 1156 | |
| 1157 ColumnVector sigma = S.diag (); | |
| 1158 | |
| 5275 | 1159 octave_idx_type r = sigma.length () - 1; |
| 1160 octave_idx_type nr = rows (); | |
| 1161 octave_idx_type nc = cols (); | |
| 740 | 1162 |
| 1163 if (tol <= 0.0) | |
| 1164 { | |
| 1165 if (nr > nc) | |
|
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1166 tol = nr * sigma.elem (0) * DBL_EPSILON; |
| 740 | 1167 else |
|
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1168 tol = nc * sigma.elem (0) * DBL_EPSILON; |
| 740 | 1169 } |
| 1170 | |
| 1171 while (r >= 0 && sigma.elem (r) < tol) | |
| 1172 r--; | |
| 1173 | |
| 1174 if (r < 0) | |
| 1549 | 1175 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1176 else |
| 1177 { | |
| 1178 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1179 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1180 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1181 retval = Vr * D * Ur.hermitian (); |
| 740 | 1182 } |
| 1549 | 1183 |
| 1184 return retval; | |
| 740 | 1185 } |
| 1186 | |
|
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1187 #if defined (HAVE_FFTW) |
| 3827 | 1188 |
| 1189 ComplexMatrix | |
| 1190 ComplexMatrix::fourier (void) const | |
| 1191 { | |
| 1192 size_t nr = rows (); | |
| 1193 size_t nc = cols (); | |
| 1194 | |
| 1195 ComplexMatrix retval (nr, nc); | |
| 1196 | |
| 1197 size_t npts, nsamples; | |
| 1198 | |
| 1199 if (nr == 1 || nc == 1) | |
| 1200 { | |
| 1201 npts = nr > nc ? nr : nc; | |
| 1202 nsamples = 1; | |
| 1203 } | |
| 1204 else | |
| 1205 { | |
| 1206 npts = nr; | |
| 1207 nsamples = nc; | |
| 1208 } | |
| 1209 | |
| 1210 const Complex *in (data ()); | |
| 1211 Complex *out (retval.fortran_vec ()); | |
| 1212 | |
| 4773 | 1213 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1214 |
| 1215 return retval; | |
| 1216 } | |
| 1217 | |
| 1218 ComplexMatrix | |
| 1219 ComplexMatrix::ifourier (void) const | |
| 1220 { | |
| 1221 size_t nr = rows (); | |
| 1222 size_t nc = cols (); | |
| 1223 | |
| 1224 ComplexMatrix retval (nr, nc); | |
| 1225 | |
| 1226 size_t npts, nsamples; | |
| 1227 | |
| 1228 if (nr == 1 || nc == 1) | |
| 1229 { | |
| 1230 npts = nr > nc ? nr : nc; | |
| 1231 nsamples = 1; | |
| 1232 } | |
| 1233 else | |
| 1234 { | |
| 1235 npts = nr; | |
| 1236 nsamples = nc; | |
| 1237 } | |
| 1238 | |
| 1239 const Complex *in (data ()); | |
| 1240 Complex *out (retval.fortran_vec ()); | |
| 1241 | |
| 4773 | 1242 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1243 |
| 1244 return retval; | |
| 1245 } | |
| 1246 | |
| 1247 ComplexMatrix | |
| 1248 ComplexMatrix::fourier2d (void) const | |
| 1249 { | |
| 4773 | 1250 dim_vector dv(rows (), cols ()); |
| 1251 | |
| 1252 ComplexMatrix retval (rows (), cols ()); | |
| 1253 const Complex *in (data ()); | |
| 1254 Complex *out (retval.fortran_vec ()); | |
| 1255 | |
| 1256 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1257 |
| 1258 return retval; | |
| 1259 } | |
| 1260 | |
| 1261 ComplexMatrix | |
| 1262 ComplexMatrix::ifourier2d (void) const | |
| 1263 { | |
| 4773 | 1264 dim_vector dv(rows (), cols ()); |
| 1265 | |
| 1266 ComplexMatrix retval (rows (), cols ()); | |
| 1267 const Complex *in (data ()); | |
| 1268 Complex *out (retval.fortran_vec ()); | |
| 1269 | |
| 1270 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1271 |
| 1272 return retval; | |
| 1273 } | |
| 1274 | |
| 1275 #else | |
| 1276 | |
|
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1277 extern "C" |
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1278 { |
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1279 // Note that the original complex fft routines were not written for |
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1280 // double complex arguments. They have been modified by adding an |
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1281 // implicit double precision (a-h,o-z) statement at the beginning of |
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1282 // each subroutine. |
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1283 |
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1284 F77_RET_T |
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1285 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1286 |
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1287 F77_RET_T |
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1288 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1289 |
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1290 F77_RET_T |
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1291 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1292 } |
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1293 |
| 740 | 1294 ComplexMatrix |
| 458 | 1295 ComplexMatrix::fourier (void) const |
| 1296 { | |
| 1948 | 1297 ComplexMatrix retval; |
| 1298 | |
| 5275 | 1299 octave_idx_type nr = rows (); |
| 1300 octave_idx_type nc = cols (); | |
| 1301 | |
| 1302 octave_idx_type npts, nsamples; | |
| 1948 | 1303 |
| 458 | 1304 if (nr == 1 || nc == 1) |
| 1305 { | |
| 1306 npts = nr > nc ? nr : nc; | |
| 1307 nsamples = 1; | |
| 1308 } | |
| 1309 else | |
| 1310 { | |
| 1311 npts = nr; | |
| 1312 nsamples = nc; | |
| 1313 } | |
| 1314 | |
| 5275 | 1315 octave_idx_type nn = 4*npts+15; |
| 1948 | 1316 |
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1317 Array<Complex> wsave (nn, 1); |
| 1948 | 1318 Complex *pwsave = wsave.fortran_vec (); |
| 1319 | |
| 1320 retval = *this; | |
| 1321 Complex *tmp_data = retval.fortran_vec (); | |
| 1322 | |
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1323 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1324 |
| 5275 | 1325 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1326 { |
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1327 octave_quit (); |
| 4153 | 1328 |
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1329 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1330 } |
| 1948 | 1331 |
| 1332 return retval; | |
| 458 | 1333 } |
| 1334 | |
| 1335 ComplexMatrix | |
| 1336 ComplexMatrix::ifourier (void) const | |
| 1337 { | |
| 1948 | 1338 ComplexMatrix retval; |
| 1339 | |
| 5275 | 1340 octave_idx_type nr = rows (); |
| 1341 octave_idx_type nc = cols (); | |
| 1342 | |
| 1343 octave_idx_type npts, nsamples; | |
| 1948 | 1344 |
| 458 | 1345 if (nr == 1 || nc == 1) |
| 1346 { | |
| 1347 npts = nr > nc ? nr : nc; | |
| 1348 nsamples = 1; | |
| 1349 } | |
| 1350 else | |
| 1351 { | |
| 1352 npts = nr; | |
| 1353 nsamples = nc; | |
| 1354 } | |
| 1355 | |
| 5275 | 1356 octave_idx_type nn = 4*npts+15; |
| 1948 | 1357 |
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1358 Array<Complex> wsave (nn, 1); |
| 1948 | 1359 Complex *pwsave = wsave.fortran_vec (); |
| 1360 | |
| 1361 retval = *this; | |
| 1362 Complex *tmp_data = retval.fortran_vec (); | |
| 1363 | |
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1364 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1365 |
| 5275 | 1366 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1367 { |
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1368 octave_quit (); |
| 4153 | 1369 |
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1370 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1371 } |
| 458 | 1372 |
| 5275 | 1373 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1374 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1375 |
| 1948 | 1376 return retval; |
| 458 | 1377 } |
| 1378 | |
| 677 | 1379 ComplexMatrix |
| 1380 ComplexMatrix::fourier2d (void) const | |
| 1381 { | |
| 1948 | 1382 ComplexMatrix retval; |
| 1383 | |
| 5275 | 1384 octave_idx_type nr = rows (); |
| 1385 octave_idx_type nc = cols (); | |
| 1386 | |
| 1387 octave_idx_type npts, nsamples; | |
| 1948 | 1388 |
| 677 | 1389 if (nr == 1 || nc == 1) |
| 1390 { | |
| 1391 npts = nr > nc ? nr : nc; | |
| 1392 nsamples = 1; | |
| 1393 } | |
| 1394 else | |
| 1395 { | |
| 1396 npts = nr; | |
| 1397 nsamples = nc; | |
| 1398 } | |
| 1399 | |
| 5275 | 1400 octave_idx_type nn = 4*npts+15; |
| 1948 | 1401 |
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1402 Array<Complex> wsave (nn, 1); |
| 1948 | 1403 Complex *pwsave = wsave.fortran_vec (); |
| 1404 | |
| 1405 retval = *this; | |
| 1406 Complex *tmp_data = retval.fortran_vec (); | |
| 1407 | |
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1408 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1409 |
| 5275 | 1410 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1411 { |
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1412 octave_quit (); |
| 4153 | 1413 |
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1414 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1415 } |
| 677 | 1416 |
| 1417 npts = nc; | |
| 1418 nsamples = nr; | |
| 1419 nn = 4*npts+15; | |
| 1948 | 1420 |
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1421 wsave.resize (nn, 1); |
| 1948 | 1422 pwsave = wsave.fortran_vec (); |
| 1423 | |
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1424 Array<Complex> tmp (npts, 1); |
| 4773 | 1425 Complex *prow = tmp.fortran_vec (); |
| 1948 | 1426 |
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1427 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1428 |
| 5275 | 1429 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1430 { |
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1431 octave_quit (); |
| 4153 | 1432 |
| 5275 | 1433 for (octave_idx_type i = 0; i < npts; i++) |
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1434 prow[i] = tmp_data[i*nr + j]; |
| 1948 | 1435 |
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1436 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1437 |
| 5275 | 1438 for (octave_idx_type i = 0; i < npts; i++) |
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1439 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1440 } |
| 1441 | |
| 1948 | 1442 return retval; |
| 677 | 1443 } |
| 1444 | |
| 1445 ComplexMatrix | |
| 1446 ComplexMatrix::ifourier2d (void) const | |
| 1447 { | |
| 1948 | 1448 ComplexMatrix retval; |
| 1449 | |
| 5275 | 1450 octave_idx_type nr = rows (); |
| 1451 octave_idx_type nc = cols (); | |
| 1452 | |
| 1453 octave_idx_type npts, nsamples; | |
| 1948 | 1454 |
| 677 | 1455 if (nr == 1 || nc == 1) |
| 1456 { | |
| 1457 npts = nr > nc ? nr : nc; | |
| 1458 nsamples = 1; | |
| 1459 } | |
| 1460 else | |
| 1461 { | |
| 1462 npts = nr; | |
| 1463 nsamples = nc; | |
| 1464 } | |
| 1465 | |
| 5275 | 1466 octave_idx_type nn = 4*npts+15; |
| 1948 | 1467 |
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1468 Array<Complex> wsave (nn, 1); |
| 1948 | 1469 Complex *pwsave = wsave.fortran_vec (); |
| 1470 | |
| 1471 retval = *this; | |
| 1472 Complex *tmp_data = retval.fortran_vec (); | |
| 1473 | |
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1474 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1475 |
| 5275 | 1476 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1477 { |
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1478 octave_quit (); |
| 4153 | 1479 |
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1480 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1481 } |
| 677 | 1482 |
| 5275 | 1483 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1484 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1485 |
| 1486 npts = nc; | |
| 1487 nsamples = nr; | |
| 1488 nn = 4*npts+15; | |
| 1948 | 1489 |
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1490 wsave.resize (nn, 1); |
| 1948 | 1491 pwsave = wsave.fortran_vec (); |
| 1492 | |
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1493 Array<Complex> tmp (npts, 1); |
| 4773 | 1494 Complex *prow = tmp.fortran_vec (); |
| 1948 | 1495 |
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1496 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1497 |
| 5275 | 1498 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1499 { |
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1500 octave_quit (); |
| 4153 | 1501 |
| 5275 | 1502 for (octave_idx_type i = 0; i < npts; i++) |
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1503 prow[i] = tmp_data[i*nr + j]; |
| 1948 | 1504 |
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1505 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1506 |
| 5275 | 1507 for (octave_idx_type i = 0; i < npts; i++) |
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1508 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1509 } |
| 1510 | |
| 1948 | 1511 return retval; |
| 677 | 1512 } |
| 1513 | |
| 3827 | 1514 #endif |
| 1515 | |
| 458 | 1516 ComplexDET |
| 1517 ComplexMatrix::determinant (void) const | |
| 1518 { | |
| 5275 | 1519 octave_idx_type info; |
| 7788 | 1520 double rcon; |
| 1521 return determinant (info, rcon, 0); | |
| 458 | 1522 } |
| 1523 | |
| 1524 ComplexDET | |
| 5275 | 1525 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1526 { |
| 7788 | 1527 double rcon; |
| 1528 return determinant (info, rcon, 0); | |
| 458 | 1529 } |
| 1530 | |
| 1531 ComplexDET | |
| 7788 | 1532 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1533 { |
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1534 MatrixType mattype (*this); |
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1535 return determinant (mattype, info, rcon, calc_cond); |
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1536 } |
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1537 |
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1538 ComplexDET |
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1539 ComplexMatrix::determinant (MatrixType& mattype, |
| 8806 | 1540 octave_idx_type& info, double& rcon, |
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1541 int calc_cond) const |
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1542 { |
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1543 ComplexDET retval (1.0); |
| 458 | 1544 |
| 5275 | 1545 octave_idx_type nr = rows (); |
| 1546 octave_idx_type nc = cols (); | |
| 458 | 1547 |
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1548 if (nr != nc) |
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1549 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1550 else |
| 1551 { | |
| 8806 | 1552 volatile int typ = mattype.type (); |
|
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1553 |
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1554 // Even though the matrix is marked as singular (Rectangular), we may |
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1555 // still get a useful number from the LU factorization, because it always |
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1556 // completes. |
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1557 |
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1558 if (typ == MatrixType::Unknown) |
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1559 typ = mattype.type (*this); |
|
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|
1560 else if (typ == MatrixType::Rectangular) |
|
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|
1561 typ = MatrixType::Full; |
|
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|
1562 |
|
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|
1563 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
|
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|
1564 { |
|
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|
1565 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1566 retval *= elem (i,i); |
|
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|
1567 } |
|
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|
1568 else if (typ == MatrixType::Hermitian) |
|
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|
1569 { |
|
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|
1570 ComplexMatrix atmp = *this; |
|
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|
1571 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1572 |
|
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|
1573 info = 0; |
|
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|
1574 double anorm = 0; |
|
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|
1575 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1576 |
|
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|
1577 |
|
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|
1578 char job = 'L'; |
|
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|
1579 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1580 tmp_data, nr, info |
|
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|
1581 F77_CHAR_ARG_LEN (1))); |
|
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|
1582 |
|
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|
1583 if (info != 0) |
|
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|
1584 { |
|
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|
1585 rcon = 0.0; |
|
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|
1586 mattype.mark_as_unsymmetric (); |
|
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|
1587 typ = MatrixType::Full; |
|
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|
1588 } |
|
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|
1589 else |
|
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|
1590 { |
|
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|
1591 Array<Complex> z (2 * nc, 1); |
|
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|
1592 Complex *pz = z.fortran_vec (); |
|
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|
1593 Array<double> rz (nc, 1); |
|
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|
1594 double *prz = rz.fortran_vec (); |
|
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|
1595 |
|
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|
1596 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1597 nr, tmp_data, nr, anorm, |
|
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|
1598 rcon, pz, prz, info |
|
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|
1599 F77_CHAR_ARG_LEN (1))); |
|
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|
1600 |
|
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|
1601 if (info != 0) |
|
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|
1602 rcon = 0.0; |
|
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|
1603 |
|
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|
1604 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1605 retval *= atmp (i,i); |
|
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|
1606 |
|
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|
1607 retval = retval.square (); |
|
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|
1608 } |
|
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|
1609 } |
|
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|
1610 else if (typ != MatrixType::Full) |
|
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|
1611 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1612 |
|
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|
1613 if (typ == MatrixType::Full) |
|
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|
1614 { |
|
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|
1615 Array<octave_idx_type> ipvt (nr, 1); |
|
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1616 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1617 |
|
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|
1618 ComplexMatrix atmp = *this; |
|
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1619 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1620 |
|
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|
1621 info = 0; |
|
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|
1622 |
|
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|
1623 // Calculate the norm of the matrix, for later use. |
|
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|
1624 double anorm = 0; |
|
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|
1625 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1626 |
|
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|
1627 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1628 |
|
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|
1629 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
1630 rcon = 0.0; |
|
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|
1631 if (info != 0) |
|
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|
1632 { |
|
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|
1633 info = -1; |
|
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|
1634 retval = ComplexDET (); |
|
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|
1635 } |
|
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|
1636 else |
|
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|
1637 { |
|
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|
1638 if (calc_cond) |
|
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|
1639 { |
|
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|
1640 // Now calc the condition number for non-singular matrix. |
|
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|
1641 char job = '1'; |
|
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|
1642 Array<Complex> z (2 * nc, 1); |
|
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|
1643 Complex *pz = z.fortran_vec (); |
|
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|
1644 Array<double> rz (2 * nc, 1); |
|
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|
1645 double *prz = rz.fortran_vec (); |
|
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|
1646 |
|
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|
1647 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1648 nc, tmp_data, nr, anorm, |
|
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|
1649 rcon, pz, prz, info |
|
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|
1650 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1651 } |
|
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|
1652 |
|
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|
1653 if (info != 0) |
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|
1654 { |
|
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|
1655 info = -1; |
|
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|
1656 retval = ComplexDET (); |
|
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|
1657 } |
|
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|
1658 else |
|
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|
1659 { |
|
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|
1660 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1661 { |
|
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|
1662 Complex c = atmp(i,i); |
|
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|
1663 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1664 } |
|
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|
1665 } |
|
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|
1666 } |
|
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|
1667 } |
| 458 | 1668 } |
|
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|
1669 |
| 458 | 1670 return retval; |
| 1671 } | |
| 1672 | |
| 7788 | 1673 double |
| 1674 ComplexMatrix::rcond (void) const | |
| 1675 { | |
| 1676 MatrixType mattype (*this); | |
| 1677 return rcond (mattype); | |
| 1678 } | |
| 1679 | |
| 1680 double | |
| 1681 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1682 { | |
| 1683 double rcon; | |
| 1684 octave_idx_type nr = rows (); | |
| 1685 octave_idx_type nc = cols (); | |
| 1686 | |
| 1687 if (nr != nc) | |
| 1688 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1689 else if (nr == 0 || nc == 0) | |
| 1690 rcon = octave_Inf; | |
| 1691 else | |
| 1692 { | |
| 1693 int typ = mattype.type (); | |
| 1694 | |
| 1695 if (typ == MatrixType::Unknown) | |
|
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|
1696 typ = mattype.type (*this); |
| 7788 | 1697 |
| 1698 // Only calculate the condition number for LU/Cholesky | |
| 1699 if (typ == MatrixType::Upper) | |
|
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|
1700 { |
|
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|
1701 const Complex *tmp_data = fortran_vec (); |
|
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|
1702 octave_idx_type info = 0; |
|
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|
1703 char norm = '1'; |
|
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|
1704 char uplo = 'U'; |
|
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|
1705 char dia = 'N'; |
|
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|
1706 |
|
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|
1707 Array<Complex> z (2 * nc, 1); |
|
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|
1708 Complex *pz = z.fortran_vec (); |
|
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|
1709 Array<double> rz (nc, 1); |
|
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|
1710 double *prz = rz.fortran_vec (); |
|
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|
1711 |
|
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1712 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
|
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|
1713 F77_CONST_CHAR_ARG2 (&uplo, 1), |
|
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|
1714 F77_CONST_CHAR_ARG2 (&dia, 1), |
|
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|
1715 nr, tmp_data, nr, rcon, |
|
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|
1716 pz, prz, info |
|
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|
1717 F77_CHAR_ARG_LEN (1) |
|
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|
1718 F77_CHAR_ARG_LEN (1) |
|
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|
1719 F77_CHAR_ARG_LEN (1))); |
|
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|
1720 |
|
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|
1721 if (info != 0) |
|
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|
1722 rcon = 0; |
|
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|
1723 } |
| 7788 | 1724 else if (typ == MatrixType::Permuted_Upper) |
|
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|
1725 (*current_liboctave_error_handler) |
|
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|
1726 ("permuted triangular matrix not implemented"); |
| 7788 | 1727 else if (typ == MatrixType::Lower) |
|
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|
1728 { |
|
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|
1729 const Complex *tmp_data = fortran_vec (); |
|
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|
1730 octave_idx_type info = 0; |
|
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|
1731 char norm = '1'; |
|
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|
1732 char uplo = 'L'; |
|
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|
1733 char dia = 'N'; |
|
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|
1734 |
|
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|
1735 Array<Complex> z (2 * nc, 1); |
|
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|
1736 Complex *pz = z.fortran_vec (); |
|
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|
1737 Array<double> rz (nc, 1); |
|
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|
1738 double *prz = rz.fortran_vec (); |
|
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|
1739 |
|
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|
1740 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
|
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|
1741 F77_CONST_CHAR_ARG2 (&uplo, 1), |
|
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|
1742 F77_CONST_CHAR_ARG2 (&dia, 1), |
|
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|
1743 nr, tmp_data, nr, rcon, |
|
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|
1744 pz, prz, info |
|
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|
1745 F77_CHAR_ARG_LEN (1) |
|
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|
1746 F77_CHAR_ARG_LEN (1) |
|
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|
1747 F77_CHAR_ARG_LEN (1))); |
|
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|
1748 |
|
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|
1749 if (info != 0) |
|
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|
1750 rcon = 0.0; |
|
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|
1751 } |
| 7788 | 1752 else if (typ == MatrixType::Permuted_Lower) |
|
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|
1753 (*current_liboctave_error_handler) |
|
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|
1754 ("permuted triangular matrix not implemented"); |
| 7788 | 1755 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
|
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|
1756 { |
|
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|
1757 double anorm = -1.0; |
|
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|
1758 ComplexMatrix atmp = *this; |
|
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|
1759 Complex *tmp_data = atmp.fortran_vec (); |
|
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|
1760 |
|
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|
1761 if (typ == MatrixType::Hermitian) |
|
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|
1762 { |
|
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|
1763 octave_idx_type info = 0; |
|
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|
1764 char job = 'L'; |
|
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|
1765 anorm = atmp.abs().sum(). |
|
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|
1766 row(static_cast<octave_idx_type>(0)).max(); |
|
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|
1767 |
|
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|
1768 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1769 tmp_data, nr, info |
|
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|
1770 F77_CHAR_ARG_LEN (1))); |
|
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|
1771 |
|
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|
1772 if (info != 0) |
|
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|
1773 { |
|
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|
1774 rcon = 0.0; |
|
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|
1775 |
|
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|
1776 mattype.mark_as_unsymmetric (); |
|
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|
1777 typ = MatrixType::Full; |
|
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|
1778 } |
|
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|
1779 else |
|
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|
1780 { |
|
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|
1781 Array<Complex> z (2 * nc, 1); |
|
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|
1782 Complex *pz = z.fortran_vec (); |
|
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|
1783 Array<double> rz (nc, 1); |
|
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|
1784 double *prz = rz.fortran_vec (); |
|
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|
1785 |
|
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|
1786 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1787 nr, tmp_data, nr, anorm, |
|
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|
1788 rcon, pz, prz, info |
|
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|
1789 F77_CHAR_ARG_LEN (1))); |
|
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|
1790 |
|
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|
1791 if (info != 0) |
|
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|
1792 rcon = 0.0; |
|
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|
1793 } |
|
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|
1794 } |
|
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|
1795 |
|
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|
1796 |
|
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|
1797 if (typ == MatrixType::Full) |
|
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|
1798 { |
|
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|
1799 octave_idx_type info = 0; |
|
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|
1800 |
|
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|
1801 Array<octave_idx_type> ipvt (nr, 1); |
|
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|
1802 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1803 |
|
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|
1804 if(anorm < 0.) |
|
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|
1805 anorm = atmp.abs().sum(). |
|
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|
1806 row(static_cast<octave_idx_type>(0)).max(); |
|
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|
1807 |
|
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|
1808 Array<Complex> z (2 * nc, 1); |
|
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|
1809 Complex *pz = z.fortran_vec (); |
|
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|
1810 Array<double> rz (2 * nc, 1); |
|
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changeset
|
1811 double *prz = rz.fortran_vec (); |
|
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|
1812 |
|
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|
1813 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1814 |
|
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|
1815 if (info != 0) |
|
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|
1816 { |
|
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|
1817 rcon = 0.0; |
|
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|
1818 mattype.mark_as_rectangular (); |
|
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|
1819 } |
|
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|
1820 else |
|
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1821 { |
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1822 char job = '1'; |
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1823 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1824 nc, tmp_data, nr, anorm, |
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1825 rcon, pz, prz, info |
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1826 F77_CHAR_ARG_LEN (1))); |
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1827 |
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1828 if (info != 0) |
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1829 rcon = 0.0; |
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1830 } |
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1831 } |
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1832 } |
| 7788 | 1833 else |
|
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1834 rcon = 0.0; |
| 7788 | 1835 } |
| 1836 | |
| 1837 return rcon; | |
| 1838 } | |
| 1839 | |
| 458 | 1840 ComplexMatrix |
| 5785 | 1841 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
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1842 octave_idx_type& info, double& rcon, |
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1843 solve_singularity_handler sing_handler, |
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1844 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1845 { |
| 1846 ComplexMatrix retval; | |
| 1847 | |
| 1848 octave_idx_type nr = rows (); | |
| 1849 octave_idx_type nc = cols (); | |
| 1850 | |
| 6924 | 1851 if (nr != b.rows ()) |
| 5785 | 1852 (*current_liboctave_error_handler) |
| 1853 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1854 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1855 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1856 else |
| 1857 { | |
| 1858 volatile int typ = mattype.type (); | |
| 1859 | |
| 1860 if (typ == MatrixType::Permuted_Upper || | |
|
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1861 typ == MatrixType::Upper) |
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1862 { |
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1863 octave_idx_type b_nc = b.cols (); |
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1864 rcon = 1.; |
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1865 info = 0; |
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1866 |
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1867 if (typ == MatrixType::Permuted_Upper) |
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1868 { |
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1869 (*current_liboctave_error_handler) |
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1870 ("permuted triangular matrix not implemented"); |
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1871 } |
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1872 else |
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1873 { |
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1874 const Complex *tmp_data = fortran_vec (); |
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1875 |
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1876 if (calc_cond) |
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1877 { |
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1878 char norm = '1'; |
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1879 char uplo = 'U'; |
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1880 char dia = 'N'; |
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1881 |
|
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1882 Array<Complex> z (2 * nc, 1); |
|
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1883 Complex *pz = z.fortran_vec (); |
|
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1884 Array<double> rz (nc, 1); |
|
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1885 double *prz = rz.fortran_vec (); |
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1886 |
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1887 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1888 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1889 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1890 nr, tmp_data, nr, rcon, |
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1891 pz, prz, info |
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1892 F77_CHAR_ARG_LEN (1) |
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1893 F77_CHAR_ARG_LEN (1) |
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1894 F77_CHAR_ARG_LEN (1))); |
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1895 |
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1896 if (info != 0) |
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1897 info = -2; |
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1898 |
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1899 volatile double rcond_plus_one = rcon + 1.0; |
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1900 |
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1901 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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1902 { |
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1903 info = -2; |
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1904 |
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1905 if (sing_handler) |
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1906 sing_handler (rcon); |
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1907 else |
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1908 (*current_liboctave_error_handler) |
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1909 ("matrix singular to machine precision, rcond = %g", |
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1910 rcon); |
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1911 } |
|
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1912 } |
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1913 |
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1914 if (info == 0) |
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1915 { |
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1916 retval = b; |
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1917 Complex *result = retval.fortran_vec (); |
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1918 |
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1919 char uplo = 'U'; |
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1920 char trans = get_blas_char (transt); |
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1921 char dia = 'N'; |
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1922 |
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1923 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1924 F77_CONST_CHAR_ARG2 (&trans, 1), |
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1925 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1926 nr, b_nc, tmp_data, nr, |
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1927 result, nr, info |
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1928 F77_CHAR_ARG_LEN (1) |
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1929 F77_CHAR_ARG_LEN (1) |
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1930 F77_CHAR_ARG_LEN (1))); |
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1931 } |
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1932 } |
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1933 } |
| 5785 | 1934 else |
|
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1935 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5785 | 1936 } |
| 1937 | |
| 1938 return retval; | |
| 1939 } | |
| 1940 | |
| 1941 ComplexMatrix | |
| 1942 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
|
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1943 octave_idx_type& info, double& rcon, |
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1944 solve_singularity_handler sing_handler, |
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1945 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1946 { |
| 1947 ComplexMatrix retval; | |
| 1948 | |
| 1949 octave_idx_type nr = rows (); | |
| 1950 octave_idx_type nc = cols (); | |
| 1951 | |
| 6924 | 1952 if (nr != b.rows ()) |
| 5785 | 1953 (*current_liboctave_error_handler) |
| 1954 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1955 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1956 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1957 else |
| 1958 { | |
| 1959 volatile int typ = mattype.type (); | |
| 1960 | |
| 1961 if (typ == MatrixType::Permuted_Lower || | |
|
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1962 typ == MatrixType::Lower) |
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1963 { |
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1964 octave_idx_type b_nc = b.cols (); |
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1965 rcon = 1.; |
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1966 info = 0; |
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1967 |
|
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1968 if (typ == MatrixType::Permuted_Lower) |
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1969 { |
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1970 (*current_liboctave_error_handler) |
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1971 ("permuted triangular matrix not implemented"); |
|
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1972 } |
|
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1973 else |
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1974 { |
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1975 const Complex *tmp_data = fortran_vec (); |
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1976 |
|
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1977 if (calc_cond) |
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1978 { |
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1979 char norm = '1'; |
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1980 char uplo = 'L'; |
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1981 char dia = 'N'; |
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1982 |
|
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1983 Array<Complex> z (2 * nc, 1); |
|
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1984 Complex *pz = z.fortran_vec (); |
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1985 Array<double> rz (nc, 1); |
|
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1986 double *prz = rz.fortran_vec (); |
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1987 |
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1988 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), |
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1989 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1990 F77_CONST_CHAR_ARG2 (&dia, 1), |
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1991 nr, tmp_data, nr, rcon, |
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1992 pz, prz, info |
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1993 F77_CHAR_ARG_LEN (1) |
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1994 F77_CHAR_ARG_LEN (1) |
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1995 F77_CHAR_ARG_LEN (1))); |
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1996 |
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1997 if (info != 0) |
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1998 info = -2; |
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1999 |
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2000 volatile double rcond_plus_one = rcon + 1.0; |
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2001 |
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2002 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
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2003 { |
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2004 info = -2; |
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|
2005 |
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2006 if (sing_handler) |
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2007 sing_handler (rcon); |
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2008 else |
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|
2009 (*current_liboctave_error_handler) |
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2010 ("matrix singular to machine precision, rcond = %g", |
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2011 rcon); |
|
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2012 } |
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2013 } |
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2014 |
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2015 if (info == 0) |
|
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2016 { |
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2017 retval = b; |
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2018 Complex *result = retval.fortran_vec (); |
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2019 |
|
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2020 char uplo = 'L'; |
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2021 char trans = get_blas_char (transt); |
|
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2022 char dia = 'N'; |
|
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2023 |
|
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2024 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), |
|
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2025 F77_CONST_CHAR_ARG2 (&trans, 1), |
|
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|
2026 F77_CONST_CHAR_ARG2 (&dia, 1), |
|
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2027 nr, b_nc, tmp_data, nr, |
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2028 result, nr, info |
|
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2029 F77_CHAR_ARG_LEN (1) |
|
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|
2030 F77_CHAR_ARG_LEN (1) |
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2031 F77_CHAR_ARG_LEN (1))); |
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2032 } |
|
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2033 } |
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2034 } |
| 5785 | 2035 else |
|
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|
2036 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5785 | 2037 } |
| 2038 | |
| 2039 return retval; | |
| 2040 } | |
| 2041 | |
| 2042 ComplexMatrix | |
| 2043 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
|
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2044 octave_idx_type& info, double& rcon, |
|
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2045 solve_singularity_handler sing_handler, |
|
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|
2046 bool calc_cond) const |
| 5785 | 2047 { |
| 2048 ComplexMatrix retval; | |
| 2049 | |
| 2050 octave_idx_type nr = rows (); | |
| 2051 octave_idx_type nc = cols (); | |
| 2052 | |
| 6924 | 2053 |
| 2054 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2055 (*current_liboctave_error_handler) |
| 6924 | 2056 ("matrix dimension mismatch solution of linear equations"); |
| 2057 else if (nr == 0 || b.cols () == 0) | |
| 2058 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2059 else |
| 2060 { | |
| 2061 volatile int typ = mattype.type (); | |
| 2062 | |
| 2063 // Calculate the norm of the matrix, for later use. | |
| 2064 double anorm = -1.; | |
| 2065 | |
| 2066 if (typ == MatrixType::Hermitian) | |
|
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|
2067 { |
|
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|
2068 info = 0; |
|
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|
2069 char job = 'L'; |
|
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|
2070 ComplexMatrix atmp = *this; |
|
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|
2071 Complex *tmp_data = atmp.fortran_vec (); |
|
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2072 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
|
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2073 |
|
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|
2074 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
2075 tmp_data, nr, info |
|
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|
2076 F77_CHAR_ARG_LEN (1))); |
|
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|
2077 |
|
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|
2078 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
2079 rcon = 0.0; |
|
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|
2080 if (info != 0) |
|
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|
2081 { |
|
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|
2082 info = -2; |
|
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|
2083 |
|
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|
2084 mattype.mark_as_unsymmetric (); |
|
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|
2085 typ = MatrixType::Full; |
|
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|
2086 } |
|
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|
2087 else |
|
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|
2088 { |
|
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|
2089 if (calc_cond) |
|
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|
2090 { |
|
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|
2091 Array<Complex> z (2 * nc, 1); |
|
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|
2092 Complex *pz = z.fortran_vec (); |
|
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|
2093 Array<double> rz (nc, 1); |
|
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|
2094 double *prz = rz.fortran_vec (); |
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2095 |
|
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|
2096 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2097 nr, tmp_data, nr, anorm, |
|
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changeset
|
2098 rcon, pz, prz, info |
|
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|
2099 F77_CHAR_ARG_LEN (1))); |
|
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|
2100 |
|
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|
2101 if (info != 0) |
|
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|
2102 info = -2; |
|
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|
2103 |
|
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|
2104 volatile double rcond_plus_one = rcon + 1.0; |
|
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|
2105 |
|
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|
2106 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
|
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|
2107 { |
|
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|
2108 info = -2; |
|
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|
2109 |
|
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|
2110 if (sing_handler) |
|
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|
2111 sing_handler (rcon); |
|
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changeset
|
2112 else |
|
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|
2113 (*current_liboctave_error_handler) |
|
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|
2114 ("matrix singular to machine precision, rcond = %g", |
|
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|
2115 rcon); |
|
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|
2116 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2117 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2118 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2119 if (info == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2120 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2121 retval = b; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2122 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2123 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2124 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2125 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2126 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2127 nr, b_nc, tmp_data, nr, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2128 result, b.rows(), info |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2129 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2130 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2131 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2132 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2133 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2134 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2135 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2136 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2137 } |
| 5785 | 2138 |
| 2139 if (typ == MatrixType::Full) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2140 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2141 info = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2142 |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2143 Array<octave_idx_type> ipvt (nr, 1); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2144 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2145 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2146 ComplexMatrix atmp = *this; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2147 Complex *tmp_data = atmp.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2148 |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2149 Array<Complex> z (2 * nc, 1); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2150 Complex *pz = z.fortran_vec (); |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
2151 Array<double> rz (2 * nc, 1); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2152 double *prz = rz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2153 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2154 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2155 if (anorm < 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2156 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2157 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2158 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2159 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2160 // Throw-away extra info LAPACK gives so as to not change output. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2161 rcon = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2162 if (info != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2163 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2164 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2165 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2166 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2167 sing_handler (rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2168 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2169 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2170 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2171 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2172 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2173 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2174 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2175 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2176 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2177 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2178 // Now calculate the condition number for |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2179 // non-singular matrix. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2180 char job = '1'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2181 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2182 nc, tmp_data, nr, anorm, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2183 rcon, pz, prz, info |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2184 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2185 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2186 if (info != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2187 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2188 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2189 volatile double rcond_plus_one = rcon + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2190 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2191 if (rcond_plus_one == 1.0 || xisnan (rcon)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2192 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2193 info = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2194 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2195 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2196 sing_handler (rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2197 else |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2198 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2199 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2200 rcon); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2201 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2202 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2203 |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2204 if (info == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
2205 { |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2206 retval = b; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2207 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2208 |
|
07ebe522dac2
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10213
diff
changeset
|
2209 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
2210 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2211 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2212 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
diff
changeset
|
2213 nr, b_nc, tmp_data, nr, |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2214 pipvt, result, b.rows(), info |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2215 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
2216 } |
|
07ebe522dac2
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parents:
10213
diff
changeset
|
2217 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10213
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changeset
|
2218 mattype.mark_as_rectangular (); |
|
07ebe522dac2
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10213
diff
changeset
|
2219 } |
|
07ebe522dac2
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changeset
|
2220 } |
| 5785 | 2221 } |
| 2222 | |
| 2223 return retval; | |
| 2224 } | |
| 2225 | |
| 2226 ComplexMatrix | |
| 2227 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2228 { | |
| 2229 octave_idx_type info; | |
| 7788 | 2230 double rcon; |
| 2231 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2232 } |
| 2233 | |
| 2234 ComplexMatrix | |
| 2235 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2236 octave_idx_type& info) const |
| 5785 | 2237 { |
| 7788 | 2238 double rcon; |
| 2239 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2240 } |
| 2241 | |
| 2242 ComplexMatrix | |
| 2243 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
|
10314
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diff
changeset
|
2244 double& rcon) const |
| 5785 | 2245 { |
| 7788 | 2246 return solve (typ, b, info, rcon, 0); |
| 5785 | 2247 } |
| 2248 | |
| 2249 ComplexMatrix | |
| 2250 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
|
10314
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changeset
|
2251 double& rcon, solve_singularity_handler sing_handler, |
|
07ebe522dac2
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changeset
|
2252 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2253 { |
| 2254 ComplexMatrix tmp (b); | |
|
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
2255 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
| 5785 | 2256 } |
| 2257 | |
| 2258 ComplexMatrix | |
| 2259 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2260 { | |
| 2261 octave_idx_type info; | |
| 7788 | 2262 double rcon; |
| 2263 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2264 } |
| 2265 | |
| 2266 ComplexMatrix | |
| 2267 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
|
10314
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changeset
|
2268 octave_idx_type& info) const |
| 5785 | 2269 { |
| 7788 | 2270 double rcon; |
| 2271 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2272 } |
| 2273 | |
| 2274 ComplexMatrix | |
| 2275 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
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2276 octave_idx_type& info, double& rcon) const |
| 5785 | 2277 { |
| 7788 | 2278 return solve (typ, b, info, rcon, 0); |
| 5785 | 2279 } |
| 2280 | |
| 2281 ComplexMatrix | |
| 2282 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
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2283 octave_idx_type& info, double& rcon, |
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2284 solve_singularity_handler sing_handler, |
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2285 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2286 { |
| 2287 ComplexMatrix retval; | |
| 2288 int typ = mattype.type (); | |
| 2289 | |
| 2290 if (typ == MatrixType::Unknown) | |
| 2291 typ = mattype.type (*this); | |
| 2292 | |
| 2293 // Only calculate the condition number for LU/Cholesky | |
| 2294 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
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2295 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 2296 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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2297 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
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2298 else if (transt == blas_trans) |
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2299 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
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2300 else if (transt == blas_conj_trans) |
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2301 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2302 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2303 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2304 else if (typ != MatrixType::Rectangular) |
| 2305 { | |
| 2306 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2307 return ComplexMatrix (); | |
| 2308 } | |
| 2309 | |
| 2310 // Rectangular or one of the above solvers flags a singular matrix | |
| 2311 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2312 { | |
| 2313 octave_idx_type rank; | |
| 7788 | 2314 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2315 } |
| 2316 | |
| 2317 return retval; | |
| 2318 } | |
| 2319 | |
| 2320 ComplexColumnVector | |
| 2321 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2322 { | |
| 2323 octave_idx_type info; | |
| 7788 | 2324 double rcon; |
| 2325 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2326 } |
| 2327 | |
| 2328 ComplexColumnVector | |
| 2329 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2330 octave_idx_type& info) const |
| 5785 | 2331 { |
| 7788 | 2332 double rcon; |
| 2333 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2334 } |
| 2335 | |
| 2336 ComplexColumnVector | |
| 2337 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2338 octave_idx_type& info, double& rcon) const |
| 5785 | 2339 { |
| 7788 | 2340 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2341 } |
| 2342 | |
| 2343 ComplexColumnVector | |
| 2344 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
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2345 octave_idx_type& info, double& rcon, |
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2346 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2347 { |
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2348 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 5785 | 2349 } |
| 2350 | |
| 2351 ComplexColumnVector | |
| 2352 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2353 { | |
| 2354 octave_idx_type info; | |
| 7788 | 2355 double rcon; |
| 2356 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2357 } |
| 2358 | |
| 2359 ComplexColumnVector | |
| 2360 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2361 octave_idx_type& info) const |
| 5785 | 2362 { |
| 7788 | 2363 double rcon; |
| 2364 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2365 } |
| 2366 | |
| 2367 ComplexColumnVector | |
| 2368 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2369 octave_idx_type& info, double& rcon) const |
| 5785 | 2370 { |
| 7788 | 2371 return solve (typ, b, info, rcon, 0); |
| 5785 | 2372 } |
| 2373 | |
| 2374 ComplexColumnVector | |
| 2375 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
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2376 octave_idx_type& info, double& rcon, |
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2377 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2378 { |
| 2379 | |
| 2380 ComplexMatrix tmp (b); | |
| 10352 | 2381 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); |
| 2382 return tmp.column(static_cast<octave_idx_type> (0)); | |
| 5785 | 2383 } |
| 2384 | |
| 2385 ComplexMatrix | |
| 458 | 2386 ComplexMatrix::solve (const Matrix& b) const |
| 2387 { | |
| 5275 | 2388 octave_idx_type info; |
| 7788 | 2389 double rcon; |
| 2390 return solve (b, info, rcon, 0); | |
| 458 | 2391 } |
| 2392 | |
| 2393 ComplexMatrix | |
| 5275 | 2394 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2395 { |
| 7788 | 2396 double rcon; |
| 2397 return solve (b, info, rcon, 0); | |
| 458 | 2398 } |
| 2399 | |
| 2400 ComplexMatrix | |
| 7788 | 2401 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2402 { |
| 7788 | 2403 return solve (b, info, rcon, 0); |
| 3480 | 2404 } |
| 2405 | |
| 2406 ComplexMatrix | |
| 7788 | 2407 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
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2408 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2409 { |
| 458 | 2410 ComplexMatrix tmp (b); |
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2411 return solve (tmp, info, rcon, sing_handler, transt); |
| 458 | 2412 } |
| 2413 | |
| 2414 ComplexMatrix | |
| 2415 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2416 { | |
| 5275 | 2417 octave_idx_type info; |
| 7788 | 2418 double rcon; |
| 2419 return solve (b, info, rcon, 0); | |
| 458 | 2420 } |
| 2421 | |
| 2422 ComplexMatrix | |
| 5275 | 2423 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2424 { |
| 7788 | 2425 double rcon; |
| 2426 return solve (b, info, rcon, 0); | |
| 458 | 2427 } |
| 3480 | 2428 |
| 458 | 2429 ComplexMatrix |
| 7788 | 2430 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2431 { |
| 7788 | 2432 return solve (b, info, rcon, 0); |
| 3480 | 2433 } |
| 2434 | |
| 2435 ComplexMatrix | |
| 7788 | 2436 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
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2437 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2438 { |
| 5785 | 2439 MatrixType mattype (*this); |
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2440 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2441 } |
| 2442 | |
| 2443 ComplexColumnVector | |
| 3585 | 2444 ComplexMatrix::solve (const ColumnVector& b) const |
| 2445 { | |
| 5275 | 2446 octave_idx_type info; |
| 7788 | 2447 double rcon; |
| 2448 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2449 } |
| 2450 | |
| 2451 ComplexColumnVector | |
| 5275 | 2452 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2453 { |
| 7788 | 2454 double rcon; |
| 2455 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2456 } |
| 2457 | |
| 2458 ComplexColumnVector | |
| 5785 | 2459 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2460 double& rcon) const |
| 3585 | 2461 { |
| 7788 | 2462 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2463 } |
| 2464 | |
| 2465 ComplexColumnVector | |
| 5785 | 2466 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
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2467 double& rcon, |
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2468 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3585 | 2469 { |
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2470 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 3585 | 2471 } |
| 2472 | |
| 2473 ComplexColumnVector | |
| 458 | 2474 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2475 { | |
| 5275 | 2476 octave_idx_type info; |
| 7788 | 2477 double rcon; |
| 2478 return solve (b, info, rcon, 0); | |
| 458 | 2479 } |
| 2480 | |
| 2481 ComplexColumnVector | |
| 5275 | 2482 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2483 { |
| 7788 | 2484 double rcon; |
| 2485 return solve (b, info, rcon, 0); | |
| 458 | 2486 } |
| 2487 | |
| 2488 ComplexColumnVector | |
| 5275 | 2489 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2490 double& rcon) const |
| 458 | 2491 { |
| 7788 | 2492 return solve (b, info, rcon, 0); |
| 3480 | 2493 } |
| 2494 | |
| 2495 ComplexColumnVector | |
| 5275 | 2496 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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2497 double& rcon, |
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2498 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2499 { |
| 5785 | 2500 MatrixType mattype (*this); |
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2501 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2502 } |
| 2503 | |
| 2504 ComplexMatrix | |
| 3585 | 2505 ComplexMatrix::lssolve (const Matrix& b) const |
| 2506 { | |
| 5275 | 2507 octave_idx_type info; |
| 2508 octave_idx_type rank; | |
| 7788 | 2509 double rcon; |
| 2510 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2511 } |
| 2512 | |
| 2513 ComplexMatrix | |
| 5275 | 2514 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2515 { |
| 5275 | 2516 octave_idx_type rank; |
| 7788 | 2517 double rcon; |
| 2518 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2519 } |
| 2520 | |
| 2521 ComplexMatrix | |
| 7076 | 2522 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
|
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2523 octave_idx_type& rank) const |
| 3585 | 2524 { |
| 7788 | 2525 double rcon; |
| 2526 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2527 } |
| 2528 | |
| 2529 ComplexMatrix | |
| 2530 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
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2531 octave_idx_type& rank, double& rcon) const |
| 7076 | 2532 { |
| 7788 | 2533 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2534 } |
| 2535 | |
| 2536 ComplexMatrix | |
| 458 | 2537 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2538 { | |
| 5275 | 2539 octave_idx_type info; |
| 2540 octave_idx_type rank; | |
| 7788 | 2541 double rcon; |
| 2542 return lssolve (b, info, rank, rcon); | |
| 458 | 2543 } |
| 2544 | |
| 2545 ComplexMatrix | |
| 5275 | 2546 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2547 { |
| 5275 | 2548 octave_idx_type rank; |
| 7788 | 2549 double rcon; |
| 2550 return lssolve (b, info, rank, rcon); | |
| 458 | 2551 } |
| 2552 | |
| 2553 ComplexMatrix | |
| 7076 | 2554 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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2555 octave_idx_type& rank) const |
| 7076 | 2556 { |
| 7788 | 2557 double rcon; |
| 2558 return lssolve (b, info, rank, rcon); | |
| 7076 | 2559 } |
| 2560 | |
| 2561 ComplexMatrix | |
| 2562 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
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2563 octave_idx_type& rank, double& rcon) const |
| 458 | 2564 { |
| 1948 | 2565 ComplexMatrix retval; |
| 2566 | |
| 5275 | 2567 octave_idx_type nrhs = b.cols (); |
| 2568 | |
| 2569 octave_idx_type m = rows (); | |
| 2570 octave_idx_type n = cols (); | |
| 458 | 2571 |
| 6924 | 2572 if (m != b.rows ()) |
| 1948 | 2573 (*current_liboctave_error_handler) |
| 2574 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2575 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2576 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2577 else |
| 458 | 2578 { |
| 7072 | 2579 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2580 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2581 rcon = -1.0; |
| 7072 | 2582 |
| 2583 if (m != n) | |
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2584 { |
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2585 retval = ComplexMatrix (maxmn, nrhs); |
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2586 |
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2587 for (octave_idx_type j = 0; j < nrhs; j++) |
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2588 for (octave_idx_type i = 0; i < m; i++) |
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2589 retval.elem (i, j) = b.elem (i, j); |
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2590 } |
| 7072 | 2591 else |
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2592 retval = b; |
| 7072 | 2593 |
| 1948 | 2594 ComplexMatrix atmp = *this; |
| 2595 Complex *tmp_data = atmp.fortran_vec (); | |
| 2596 | |
| 7072 | 2597 Complex *pretval = retval.fortran_vec (); |
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2598 Array<double> s (minmn, 1); |
| 7071 | 2599 double *ps = s.fortran_vec (); |
| 2563 | 2600 |
| 7072 | 2601 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2602 octave_idx_type lwork = -1; |
| 3752 | 2603 |
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2604 Array<Complex> work (1, 1); |
| 7079 | 2605 |
| 7477 | 2606 octave_idx_type smlsiz; |
| 2607 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
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2608 F77_CONST_CHAR_ARG2 (" ", 1), |
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2609 0, 0, 0, 0, smlsiz |
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2610 F77_CHAR_ARG_LEN (6) |
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2611 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2612 |
|
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2613 octave_idx_type mnthr; |
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diff
changeset
|
2614 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
10314
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changeset
|
2615 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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changeset
|
2616 m, n, nrhs, -1, mnthr |
|
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changeset
|
2617 F77_CHAR_ARG_LEN (6) |
|
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|
2618 F77_CHAR_ARG_LEN (1)); |
|
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6a6d2abe51ff
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diff
changeset
|
2619 |
| 7079 | 2620 // We compute the size of rwork and iwork because ZGELSD in |
| 2621 // older versions of LAPACK does not return them on a query | |
| 2622 // call. | |
| 7124 | 2623 double dminmn = static_cast<double> (minmn); |
| 2624 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2625 #if defined (HAVE_LOG2) |
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2626 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2627 #else |
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|
2628 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2629 #endif |
|
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|
2630 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2631 if (nlvl < 0) |
|
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changeset
|
2632 nlvl = 0; |
| 7079 | 2633 |
| 2634 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
|
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implement proper CGELSD/ZGELSD RWORK size formulas, as found in lapack SVN
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|
2635 + 3*smlsiz*nrhs + std::max ((smlsiz+1)*(smlsiz+1), |
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|
2636 n*(1+nrhs) + 2*nrhs); |
| 7079 | 2637 if (lrwork < 1) |
|
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|
2638 lrwork = 1; |
|
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diff
changeset
|
2639 Array<double> rwork (lrwork, 1); |
| 7079 | 2640 double *prwork = rwork.fortran_vec (); |
| 2641 | |
| 2642 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2643 if (liwork < 1) | |
|
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|
2644 liwork = 1; |
|
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diff
changeset
|
2645 Array<octave_idx_type> iwork (liwork, 1); |
| 7079 | 2646 octave_idx_type* piwork = iwork.fortran_vec (); |
| 7072 | 2647 |
| 2648 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
|
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|
2649 ps, rcon, rank, work.fortran_vec (), |
|
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|
2650 lwork, prwork, piwork, info)); |
| 1948 | 2651 |
| 7476 | 2652 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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6470f946a425
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diff
changeset
|
2653 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2654 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2655 // efficiently. |
|
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fix workspace bug workaround for xGELSD (since 7486:6a6d2abe51ff)
Jaroslav Hajek <highegg@gmail.com>
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changeset
|
2656 if (n > m && n >= mnthr) |
|
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|
2657 { |
|
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|
2658 octave_idx_type addend = m; |
|
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changeset
|
2659 |
|
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changeset
|
2660 if (2*m-4 > addend) |
|
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changeset
|
2661 addend = 2*m-4; |
|
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changeset
|
2662 |
|
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changeset
|
2663 if (nrhs > addend) |
|
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|
2664 addend = nrhs; |
|
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|
2665 |
|
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|
2666 if (n-3*m > addend) |
|
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|
2667 addend = n-3*m; |
|
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|
2668 |
|
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|
2669 const octave_idx_type lworkaround = 4*m + m*m + addend; |
|
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|
2670 |
|
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changeset
|
2671 if (std::real (work(0)) < lworkaround) |
|
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changeset
|
2672 work(0) = lworkaround; |
|
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|
2673 } |
|
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493bb0de3199
avoid another xGELSD workspace query bug
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|
2674 else if (m >= n) |
|
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|
2675 { |
|
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|
2676 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2677 |
|
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changeset
|
2678 if (std::real (work(0)) < lworkaround) |
|
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changeset
|
2679 work(0) = lworkaround; |
|
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changeset
|
2680 } |
| 7476 | 2681 |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2682 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2683 work.resize (lwork, 1); |
|
7482
29980c6b8604
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changeset
|
2684 |
|
29980c6b8604
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diff
changeset
|
2685 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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|
2686 maxmn, ps, rcon, rank, |
|
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|
2687 work.fortran_vec (), lwork, |
|
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|
2688 prwork, piwork, info)); |
|
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|
2689 |
|
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changeset
|
2690 if (s.elem (0) == 0.0) |
|
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changeset
|
2691 rcon = 0.0; |
| 1948 | 2692 else |
|
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changeset
|
2693 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2694 |
|
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changeset
|
2695 retval.resize (n, nrhs); |
| 458 | 2696 } |
| 2697 | |
| 2698 return retval; | |
| 2699 } | |
| 2700 | |
| 2701 ComplexColumnVector | |
| 3585 | 2702 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2703 { | |
| 5275 | 2704 octave_idx_type info; |
| 2705 octave_idx_type rank; | |
| 7788 | 2706 double rcon; |
| 2707 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2708 } |
| 2709 | |
| 2710 ComplexColumnVector | |
| 5275 | 2711 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2712 { |
| 5275 | 2713 octave_idx_type rank; |
| 7788 | 2714 double rcon; |
| 2715 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2716 } |
| 2717 | |
| 2718 ComplexColumnVector | |
| 7076 | 2719 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
|
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changeset
|
2720 octave_idx_type& rank) const |
| 3585 | 2721 { |
| 7788 | 2722 double rcon; |
| 2723 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2724 } |
| 2725 | |
| 2726 ComplexColumnVector | |
| 2727 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
|
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changeset
|
2728 octave_idx_type& rank, double& rcon) const |
| 7076 | 2729 { |
| 7788 | 2730 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2731 } |
| 2732 | |
| 2733 ComplexColumnVector | |
| 458 | 2734 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2735 { | |
| 5275 | 2736 octave_idx_type info; |
| 2737 octave_idx_type rank; | |
| 7788 | 2738 double rcon; |
| 2739 return lssolve (b, info, rank, rcon); | |
| 458 | 2740 } |
| 2741 | |
| 2742 ComplexColumnVector | |
| 5275 | 2743 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2744 { |
| 5275 | 2745 octave_idx_type rank; |
| 7788 | 2746 double rcon; |
| 2747 return lssolve (b, info, rank, rcon); | |
| 458 | 2748 } |
| 2749 | |
| 2750 ComplexColumnVector | |
| 5275 | 2751 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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changeset
|
2752 octave_idx_type& rank) const |
| 458 | 2753 { |
| 7788 | 2754 double rcon; |
| 2755 return lssolve (b, info, rank, rcon); | |
| 7076 | 2756 |
| 2757 } | |
| 2758 | |
| 2759 ComplexColumnVector | |
| 2760 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
|
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changeset
|
2761 octave_idx_type& rank, double& rcon) const |
| 7076 | 2762 { |
| 1948 | 2763 ComplexColumnVector retval; |
| 2764 | |
| 5275 | 2765 octave_idx_type nrhs = 1; |
| 2766 | |
| 2767 octave_idx_type m = rows (); | |
| 2768 octave_idx_type n = cols (); | |
| 458 | 2769 |
| 6924 | 2770 if (m != b.length ()) |
| 1948 | 2771 (*current_liboctave_error_handler) |
| 6924 | 2772 ("matrix dimension mismatch solution of linear equations"); |
| 2773 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2774 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2775 else |
| 458 | 2776 { |
| 7072 | 2777 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2778 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2779 rcon = -1.0; |
| 7072 | 2780 |
| 2781 if (m != n) | |
|
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|
2782 { |
|
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|
2783 retval = ComplexColumnVector (maxmn); |
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2784 |
|
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|
2785 for (octave_idx_type i = 0; i < m; i++) |
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|
2786 retval.elem (i) = b.elem (i); |
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|
2787 } |
| 7072 | 2788 else |
|
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changeset
|
2789 retval = b; |
| 7072 | 2790 |
| 1948 | 2791 ComplexMatrix atmp = *this; |
| 2792 Complex *tmp_data = atmp.fortran_vec (); | |
| 2793 | |
| 7072 | 2794 Complex *pretval = retval.fortran_vec (); |
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|
2795 Array<double> s (minmn, 1); |
| 7071 | 2796 double *ps = s.fortran_vec (); |
| 1948 | 2797 |
| 7072 | 2798 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2799 octave_idx_type lwork = -1; |
| 3752 | 2800 |
|
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|
2801 Array<Complex> work (1, 1); |
| 7079 | 2802 |
|
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2803 octave_idx_type smlsiz; |
|
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|
2804 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2805 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2806 0, 0, 0, 0, smlsiz |
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|
2807 F77_CHAR_ARG_LEN (6) |
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|
2808 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2809 |
| 2810 // We compute the size of rwork and iwork because ZGELSD in | |
| 2811 // older versions of LAPACK does not return them on a query | |
| 2812 // call. | |
| 7124 | 2813 double dminmn = static_cast<double> (minmn); |
| 2814 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2815 #if defined (HAVE_LOG2) |
|
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|
2816 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2817 #else |
|
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|
2818 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2819 #endif |
|
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|
2820 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2821 if (nlvl < 0) |
|
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|
2822 nlvl = 0; |
| 7079 | 2823 |
| 2824 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
|
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changeset
|
2825 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); |
| 7079 | 2826 if (lrwork < 1) |
|
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|
2827 lrwork = 1; |
|
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|
2828 Array<double> rwork (lrwork, 1); |
| 7079 | 2829 double *prwork = rwork.fortran_vec (); |
| 2830 | |
| 2831 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2832 if (liwork < 1) | |
|
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2833 liwork = 1; |
|
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|
2834 Array<octave_idx_type> iwork (liwork, 1); |
| 7079 | 2835 octave_idx_type* piwork = iwork.fortran_vec (); |
| 7072 | 2836 |
| 2837 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
|
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|
2838 ps, rcon, rank, work.fortran_vec (), |
|
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|
2839 lwork, prwork, piwork, info)); |
| 1948 | 2840 |
|
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|
2841 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2842 work.resize (lwork, 1); |
|
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|
2843 rwork.resize (static_cast<octave_idx_type> (rwork(0)), 1); |
|
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|
2844 iwork.resize (iwork(0), 1); |
|
7482
29980c6b8604
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diff
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|
2845 |
|
29980c6b8604
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changeset
|
2846 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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|
2847 maxmn, ps, rcon, rank, |
|
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changeset
|
2848 work.fortran_vec (), lwork, |
|
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untabify liboctave C++ sources
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|
2849 prwork, piwork, info)); |
|
7482
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|
2850 |
|
29980c6b8604
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changeset
|
2851 if (rank < minmn) |
|
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|
2852 { |
|
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|
2853 if (s.elem (0) == 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
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|
2854 rcon = 0.0; |
|
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|
2855 else |
|
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|
2856 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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untabify liboctave C++ sources
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|
2857 |
|
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|
2858 retval.resize (n, nrhs); |
|
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|
2859 } |
| 458 | 2860 } |
| 2861 | |
| 2862 return retval; | |
| 2863 } | |
| 2864 | |
| 1205 | 2865 // column vector by row vector -> matrix operations |
| 2866 | |
| 2867 ComplexMatrix | |
| 2868 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2869 { | |
| 2870 ComplexColumnVector tmp (v); | |
| 2871 return tmp * a; | |
| 2872 } | |
| 2873 | |
| 2874 ComplexMatrix | |
| 2875 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2876 { | |
| 2877 ComplexRowVector tmp (b); | |
| 2878 return a * tmp; | |
| 2879 } | |
| 2880 | |
| 2881 ComplexMatrix | |
| 2882 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2883 { | |
| 1948 | 2884 ComplexMatrix retval; |
| 2885 | |
| 5275 | 2886 octave_idx_type len = v.length (); |
| 3233 | 2887 |
| 2888 if (len != 0) | |
| 1205 | 2889 { |
| 5275 | 2890 octave_idx_type a_len = a.length (); |
| 3233 | 2891 |
|
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|
2892 retval = ComplexMatrix (len, a_len); |
| 3233 | 2893 Complex *c = retval.fortran_vec (); |
| 2894 | |
| 4552 | 2895 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
|
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diff
changeset
|
2896 F77_CONST_CHAR_ARG2 ("N", 1), |
|
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untabify liboctave C++ sources
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changeset
|
2897 len, a_len, 1, 1.0, v.data (), len, |
|
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untabify liboctave C++ sources
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changeset
|
2898 a.data (), 1, 0.0, c, len |
|
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|
2899 F77_CHAR_ARG_LEN (1) |
|
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|
2900 F77_CHAR_ARG_LEN (1))); |
| 1205 | 2901 } |
| 2902 | |
| 1948 | 2903 return retval; |
| 1205 | 2904 } |
| 2905 | |
| 458 | 2906 // matrix by diagonal matrix -> matrix operations |
| 2907 | |
| 2908 ComplexMatrix& | |
| 2909 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2910 { | |
| 5275 | 2911 octave_idx_type nr = rows (); |
| 2912 octave_idx_type nc = cols (); | |
| 2913 | |
| 2914 octave_idx_type a_nr = rows (); | |
| 2915 octave_idx_type a_nc = cols (); | |
| 2384 | 2916 |
| 2917 if (nr != a_nr || nc != a_nc) | |
| 458 | 2918 { |
| 2384 | 2919 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2920 return *this; |
| 458 | 2921 } |
| 2922 | |
| 5275 | 2923 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2924 elem (i, i) += a.elem (i, i); |
| 2925 | |
| 2926 return *this; | |
| 2927 } | |
| 2928 | |
| 2929 ComplexMatrix& | |
| 2930 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2931 { | |
| 5275 | 2932 octave_idx_type nr = rows (); |
| 2933 octave_idx_type nc = cols (); | |
| 2934 | |
| 2935 octave_idx_type a_nr = rows (); | |
| 2936 octave_idx_type a_nc = cols (); | |
| 2384 | 2937 |
| 2938 if (nr != a_nr || nc != a_nc) | |
| 458 | 2939 { |
| 2384 | 2940 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2941 return *this; |
| 458 | 2942 } |
| 2943 | |
| 5275 | 2944 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2945 elem (i, i) -= a.elem (i, i); |
| 2946 | |
| 2947 return *this; | |
| 2948 } | |
| 2949 | |
| 2950 ComplexMatrix& | |
| 2951 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2952 { | |
| 5275 | 2953 octave_idx_type nr = rows (); |
| 2954 octave_idx_type nc = cols (); | |
| 2955 | |
| 2956 octave_idx_type a_nr = rows (); | |
| 2957 octave_idx_type a_nc = cols (); | |
| 2384 | 2958 |
| 2959 if (nr != a_nr || nc != a_nc) | |
| 458 | 2960 { |
| 2384 | 2961 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2962 return *this; |
| 458 | 2963 } |
| 2964 | |
| 5275 | 2965 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2966 elem (i, i) += a.elem (i, i); |
| 2967 | |
| 2968 return *this; | |
| 2969 } | |
| 2970 | |
| 2971 ComplexMatrix& | |
| 2972 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 2973 { | |
| 5275 | 2974 octave_idx_type nr = rows (); |
| 2975 octave_idx_type nc = cols (); | |
| 2976 | |
| 2977 octave_idx_type a_nr = rows (); | |
| 2978 octave_idx_type a_nc = cols (); | |
| 2384 | 2979 |
| 2980 if (nr != a_nr || nc != a_nc) | |
| 458 | 2981 { |
| 2384 | 2982 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2983 return *this; |
| 458 | 2984 } |
| 2985 | |
| 5275 | 2986 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2987 elem (i, i) -= a.elem (i, i); |
| 2988 | |
| 2989 return *this; | |
| 2990 } | |
| 2991 | |
| 2992 // matrix by matrix -> matrix operations | |
| 2993 | |
| 2994 ComplexMatrix& | |
| 2995 ComplexMatrix::operator += (const Matrix& a) | |
| 2996 { | |
| 5275 | 2997 octave_idx_type nr = rows (); |
| 2998 octave_idx_type nc = cols (); | |
| 2999 | |
| 3000 octave_idx_type a_nr = a.rows (); | |
| 3001 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3002 |
| 3003 if (nr != a_nr || nc != a_nc) | |
| 458 | 3004 { |
| 2384 | 3005 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3006 return *this; |
| 3007 } | |
| 3008 | |
| 3009 if (nr == 0 || nc == 0) | |
| 3010 return *this; | |
| 3011 | |
| 3012 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3013 | |
|
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diff
changeset
|
3014 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 3015 return *this; |
| 3016 } | |
| 3017 | |
| 3018 ComplexMatrix& | |
| 3019 ComplexMatrix::operator -= (const Matrix& a) | |
| 3020 { | |
| 5275 | 3021 octave_idx_type nr = rows (); |
| 3022 octave_idx_type nc = cols (); | |
| 3023 | |
| 3024 octave_idx_type a_nr = a.rows (); | |
| 3025 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3026 |
| 3027 if (nr != a_nr || nc != a_nc) | |
| 458 | 3028 { |
| 2384 | 3029 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3030 return *this; |
| 3031 } | |
| 3032 | |
| 3033 if (nr == 0 || nc == 0) | |
| 3034 return *this; | |
| 3035 | |
| 3036 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3037 | |
|
9550
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diff
changeset
|
3038 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3039 return *this; |
| 3040 } | |
| 3041 | |
| 3042 // unary operations | |
| 3043 | |
| 2964 | 3044 boolMatrix |
| 458 | 3045 ComplexMatrix::operator ! (void) const |
| 3046 { | |
|
11130
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consistently give error for operator not applied to NaN values
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parents:
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diff
changeset
|
3047 if (any_element_is_nan ()) |
|
7c573eb981eb
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diff
changeset
|
3048 gripe_nan_to_logical_conversion (); |
|
7c573eb981eb
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diff
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|
3049 |
|
10362
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
3050 return do_mx_unary_op<bool, Complex> (*this, mx_inline_not); |
| 458 | 3051 } |
| 3052 | |
| 3053 // other operations | |
| 3054 | |
| 2384 | 3055 bool |
|
7922
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diff
changeset
|
3056 ComplexMatrix::any_element_is_nan (void) const |
|
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|
3057 { |
|
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diff
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|
3058 return do_mx_check<Complex> (*this, mx_inline_any_nan); |
|
7922
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|
3059 } |
|
935be827eaf8
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changeset
|
3060 |
|
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changeset
|
3061 bool |
| 2384 | 3062 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3063 { | |
|
11008
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|
3064 return ! do_mx_check<Complex> (*this, mx_inline_all_finite); |
| 2384 | 3065 } |
| 3066 | |
| 2408 | 3067 // Return true if no elements have imaginary components. |
| 3068 | |
| 3069 bool | |
| 3070 ComplexMatrix::all_elements_are_real (void) const | |
| 3071 { | |
|
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|
3072 return do_mx_check<Complex> (*this, mx_inline_all_real); |
| 2408 | 3073 } |
| 3074 | |
| 1968 | 3075 // Return nonzero if any element of CM has a non-integer real or |
| 3076 // imaginary part. Also extract the largest and smallest (real or | |
| 3077 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3078 | |
| 2384 | 3079 bool |
| 1968 | 3080 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3081 { | |
| 5275 | 3082 octave_idx_type nr = rows (); |
| 3083 octave_idx_type nc = cols (); | |
| 1968 | 3084 |
| 3085 if (nr > 0 && nc > 0) | |
| 3086 { | |
| 3087 Complex val = elem (0, 0); | |
| 3088 | |
| 5315 | 3089 double r_val = std::real (val); |
| 3090 double i_val = std::imag (val); | |
| 1968 | 3091 |
| 3092 max_val = r_val; | |
| 3093 min_val = r_val; | |
| 3094 | |
| 3095 if (i_val > max_val) | |
|
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|
3096 max_val = i_val; |
| 1968 | 3097 |
| 3098 if (i_val < max_val) | |
|
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|
3099 min_val = i_val; |
| 1968 | 3100 } |
| 3101 else | |
| 2384 | 3102 return false; |
| 1968 | 3103 |
| 5275 | 3104 for (octave_idx_type j = 0; j < nc; j++) |
| 3105 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3106 { |
|
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|
3107 Complex val = elem (i, j); |
|
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|
3108 |
|
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|
3109 double r_val = std::real (val); |
|
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3110 double i_val = std::imag (val); |
|
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3111 |
|
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|
3112 if (r_val > max_val) |
|
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|
3113 max_val = r_val; |
|
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3114 |
|
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|
3115 if (i_val > max_val) |
|
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|
3116 max_val = i_val; |
|
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|
3117 |
|
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|
3118 if (r_val < min_val) |
|
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|
3119 min_val = r_val; |
|
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|
3120 |
|
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|
3121 if (i_val < min_val) |
|
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changeset
|
3122 min_val = i_val; |
|
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|
3123 |
|
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|
3124 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3125 return false; |
| 1968 | 3126 } |
| 2384 | 3127 |
| 3128 return true; | |
| 1968 | 3129 } |
| 3130 | |
| 2384 | 3131 bool |
| 1968 | 3132 ComplexMatrix::too_large_for_float (void) const |
| 3133 { | |
| 5275 | 3134 octave_idx_type nr = rows (); |
| 3135 octave_idx_type nc = cols (); | |
| 3136 | |
| 3137 for (octave_idx_type j = 0; j < nc; j++) | |
| 3138 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3139 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
3140 Complex val = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3141 |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3142 double r_val = std::real (val); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3143 double i_val = std::imag (val); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3144 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3145 if ((! (xisnan (r_val) || xisinf (r_val)) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3146 && fabs (r_val) > FLT_MAX) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3147 || (! (xisnan (i_val) || xisinf (i_val)) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3148 && fabs (i_val) > FLT_MAX)) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3149 return true; |
| 1968 | 3150 } |
| 3151 | |
| 2384 | 3152 return false; |
| 1968 | 3153 } |
| 3154 | |
| 5775 | 3155 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3156 // in a base class? |
| 3157 | |
| 2832 | 3158 boolMatrix |
| 4015 | 3159 ComplexMatrix::all (int dim) const |
| 458 | 3160 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3161 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all); |
| 458 | 3162 } |
| 3163 | |
| 2832 | 3164 boolMatrix |
| 4015 | 3165 ComplexMatrix::any (int dim) const |
| 458 | 3166 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3167 return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any); |
| 458 | 3168 } |
| 3169 | |
| 3170 ComplexMatrix | |
| 3723 | 3171 ComplexMatrix::cumprod (int dim) const |
| 458 | 3172 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3173 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3174 } |
| 3175 | |
| 3176 ComplexMatrix | |
| 3723 | 3177 ComplexMatrix::cumsum (int dim) const |
| 458 | 3178 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3179 return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum); |
| 458 | 3180 } |
| 3181 | |
| 3182 ComplexMatrix | |
| 3723 | 3183 ComplexMatrix::prod (int dim) const |
| 458 | 3184 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3185 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3186 } |
| 3187 | |
| 3188 ComplexMatrix | |
| 3723 | 3189 ComplexMatrix::sum (int dim) const |
| 458 | 3190 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3191 return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum); |
| 458 | 3192 } |
| 3193 | |
| 3194 ComplexMatrix | |
| 3723 | 3195 ComplexMatrix::sumsq (int dim) const |
| 458 | 3196 { |
|
10362
b47ab50a6aa8
simplify appliers in mx-inlines.cc
Jaroslav Hajek <highegg@gmail.com>
parents:
10352
diff
changeset
|
3197 return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3198 } |
| 3199 | |
| 4329 | 3200 Matrix ComplexMatrix::abs (void) const |
| 3201 { | |
|
10363
a0728e81ed25
improve diag matrix interface & implementation
Jaroslav Hajek <highegg@gmail.com>
parents:
10362
diff
changeset
|
3202 return do_mx_unary_map<double, Complex, std::abs> (*this); |
| 4329 | 3203 } |
| 3204 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3205 ComplexMatrix |
| 5275 | 3206 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3207 { |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3208 return MArray<Complex>::diag (k); |
| 458 | 3209 } |
| 3210 | |
| 2354 | 3211 bool |
| 5275 | 3212 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3213 { |
| 3214 bool retval = true; | |
| 3215 | |
| 5275 | 3216 octave_idx_type nc = columns (); |
| 3217 | |
| 3218 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3219 { |
| 5315 | 3220 if (std::imag (elem (i, j)) != 0.0) |
|
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diff
changeset
|
3221 { |
|
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untabify liboctave C++ sources
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changeset
|
3222 retval = false; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3223 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
3224 } |
| 2354 | 3225 } |
| 3226 | |
|
10314
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untabify liboctave C++ sources
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diff
changeset
|
3227 return retval; |
| 2354 | 3228 } |
| 3229 | |
| 3230 bool | |
| 5275 | 3231 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3232 { |
| 3233 bool retval = true; | |
| 3234 | |
| 5275 | 3235 octave_idx_type nr = rows (); |
| 3236 | |
| 3237 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3238 { |
| 5315 | 3239 if (std::imag (elem (i, j)) != 0.0) |
|
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|
3240 { |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3241 retval = false; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3242 break; |
|
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untabify liboctave C++ sources
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changeset
|
3243 } |
| 2354 | 3244 } |
| 3245 | |
|
10314
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|
3246 return retval; |
| 2354 | 3247 } |
| 891 | 3248 |
| 458 | 3249 ComplexColumnVector |
| 3250 ComplexMatrix::row_min (void) const | |
| 3251 { | |
| 5275 | 3252 Array<octave_idx_type> dummy_idx; |
| 4587 | 3253 return row_min (dummy_idx); |
| 458 | 3254 } |
| 3255 | |
| 3256 ComplexColumnVector | |
| 5275 | 3257 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3258 { |
| 3259 ComplexColumnVector result; | |
| 3260 | |
| 5275 | 3261 octave_idx_type nr = rows (); |
| 3262 octave_idx_type nc = cols (); | |
| 458 | 3263 |
| 3264 if (nr > 0 && nc > 0) | |
| 3265 { | |
| 3266 result.resize (nr); | |
|
10350
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merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
3267 idx_arg.resize (nr, 1); |
| 458 | 3268 |
| 5275 | 3269 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3270 { |
|
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untabify liboctave C++ sources
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changeset
|
3271 bool real_only = row_is_real_only (i); |
|
07ebe522dac2
untabify liboctave C++ sources
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|
3272 |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3273 octave_idx_type idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
3274 |
|
07ebe522dac2
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changeset
|
3275 Complex tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3276 |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3277 double abs_min = octave_NaN; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3278 |
|
07ebe522dac2
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changeset
|
3279 for (idx_j = 0; idx_j < nc; idx_j++) |
|
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untabify liboctave C++ sources
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changeset
|
3280 { |
|
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untabify liboctave C++ sources
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changeset
|
3281 tmp_min = elem (i, idx_j); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
3282 |
|
07ebe522dac2
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changeset
|
3283 if (! xisnan (tmp_min)) |
|
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diff
changeset
|
3284 { |
|
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diff
changeset
|
3285 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
|
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untabify liboctave C++ sources
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diff
changeset
|
3286 break; |
|
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diff
changeset
|
3287 } |
|
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diff
changeset
|
3288 } |
|
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diff
changeset
|
3289 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3290 for (octave_idx_type j = idx_j+1; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3291 { |
|
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untabify liboctave C++ sources
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changeset
|
3292 Complex tmp = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
3293 |
|
07ebe522dac2
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changeset
|
3294 if (xisnan (tmp)) |
|
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changeset
|
3295 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3296 |
|
07ebe522dac2
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10213
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changeset
|
3297 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3298 |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3299 if (abs_tmp < abs_min) |
|
07ebe522dac2
untabify liboctave C++ sources
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10213
diff
changeset
|
3300 { |
|
07ebe522dac2
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diff
changeset
|
3301 idx_j = j; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3302 tmp_min = tmp; |
|
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untabify liboctave C++ sources
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diff
changeset
|
3303 abs_min = abs_tmp; |
|
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changeset
|
3304 } |
|
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changeset
|
3305 } |
|
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|
3306 |
|
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changeset
|
3307 if (xisnan (tmp_min)) |
|
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|
3308 { |
|
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untabify liboctave C++ sources
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changeset
|
3309 result.elem (i) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3310 idx_arg.elem (i) = 0; |
|
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|
3311 } |
|
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|
3312 else |
|
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|
3313 { |
|
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changeset
|
3314 result.elem (i) = tmp_min; |
|
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untabify liboctave C++ sources
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changeset
|
3315 idx_arg.elem (i) = idx_j; |
|
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changeset
|
3316 } |
| 458 | 3317 } |
| 3318 } | |
| 3319 | |
| 3320 return result; | |
| 3321 } | |
| 3322 | |
| 3323 ComplexColumnVector | |
| 3324 ComplexMatrix::row_max (void) const | |
| 3325 { | |
| 5275 | 3326 Array<octave_idx_type> dummy_idx; |
| 4587 | 3327 return row_max (dummy_idx); |
| 458 | 3328 } |
| 3329 | |
| 3330 ComplexColumnVector | |
| 5275 | 3331 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3332 { |
| 3333 ComplexColumnVector result; | |
| 3334 | |
| 5275 | 3335 octave_idx_type nr = rows (); |
| 3336 octave_idx_type nc = cols (); | |
| 458 | 3337 |
| 3338 if (nr > 0 && nc > 0) | |
| 3339 { | |
| 3340 result.resize (nr); | |
|
10350
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|
3341 idx_arg.resize (nr, 1); |
| 458 | 3342 |
| 5275 | 3343 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3344 { |
|
10314
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|
3345 bool real_only = row_is_real_only (i); |
|
07ebe522dac2
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|
3346 |
|
07ebe522dac2
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changeset
|
3347 octave_idx_type idx_j; |
|
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|
3348 |
|
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changeset
|
3349 Complex tmp_max; |
|
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changeset
|
3350 |
|
07ebe522dac2
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changeset
|
3351 double abs_max = octave_NaN; |
|
07ebe522dac2
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10213
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changeset
|
3352 |
|
07ebe522dac2
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changeset
|
3353 for (idx_j = 0; idx_j < nc; idx_j++) |
|
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changeset
|
3354 { |
|
07ebe522dac2
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changeset
|
3355 tmp_max = elem (i, idx_j); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10213
diff
changeset
|
3356 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3357 if (! xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3358 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3359 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3360 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3361 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3362 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3363 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3364 for (octave_idx_type j = idx_j+1; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3365 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3366 Complex tmp = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3367 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3368 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3369 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3370 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3371 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3372 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3373 if (abs_tmp > abs_max) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3374 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3375 idx_j = j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3376 tmp_max = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3377 abs_max = abs_tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3378 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3379 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3380 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3381 if (xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3382 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3383 result.elem (i) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3384 idx_arg.elem (i) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3385 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3386 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3387 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3388 result.elem (i) = tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3389 idx_arg.elem (i) = idx_j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3390 } |
| 458 | 3391 } |
| 3392 } | |
| 3393 | |
| 3394 return result; | |
| 3395 } | |
| 3396 | |
| 3397 ComplexRowVector | |
| 3398 ComplexMatrix::column_min (void) const | |
| 3399 { | |
| 5275 | 3400 Array<octave_idx_type> dummy_idx; |
| 4587 | 3401 return column_min (dummy_idx); |
| 458 | 3402 } |
| 3403 | |
| 3404 ComplexRowVector | |
| 5275 | 3405 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3406 { |
| 3407 ComplexRowVector result; | |
| 3408 | |
| 5275 | 3409 octave_idx_type nr = rows (); |
| 3410 octave_idx_type nc = cols (); | |
| 458 | 3411 |
| 3412 if (nr > 0 && nc > 0) | |
| 3413 { | |
| 3414 result.resize (nc); | |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3415 idx_arg.resize (1, nc); |
| 458 | 3416 |
| 5275 | 3417 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3418 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3419 bool real_only = column_is_real_only (j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3420 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3421 octave_idx_type idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3422 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3423 Complex tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3424 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3425 double abs_min = octave_NaN; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3426 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3427 for (idx_i = 0; idx_i < nr; idx_i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3428 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3429 tmp_min = elem (idx_i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3430 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3431 if (! xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3432 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3433 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3434 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3435 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3436 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3437 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3438 for (octave_idx_type i = idx_i+1; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3439 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3440 Complex tmp = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3441 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3442 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3443 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3444 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3445 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3446 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3447 if (abs_tmp < abs_min) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3448 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3449 idx_i = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3450 tmp_min = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3451 abs_min = abs_tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3452 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3453 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3454 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3455 if (xisnan (tmp_min)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3456 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3457 result.elem (j) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3458 idx_arg.elem (j) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3459 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3460 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3461 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3462 result.elem (j) = tmp_min; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3463 idx_arg.elem (j) = idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3464 } |
| 458 | 3465 } |
| 3466 } | |
| 3467 | |
| 3468 return result; | |
| 3469 } | |
| 3470 | |
| 3471 ComplexRowVector | |
| 3472 ComplexMatrix::column_max (void) const | |
| 3473 { | |
| 5275 | 3474 Array<octave_idx_type> dummy_idx; |
| 4587 | 3475 return column_max (dummy_idx); |
| 458 | 3476 } |
| 3477 | |
| 3478 ComplexRowVector | |
| 5275 | 3479 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3480 { |
| 3481 ComplexRowVector result; | |
| 3482 | |
| 5275 | 3483 octave_idx_type nr = rows (); |
| 3484 octave_idx_type nc = cols (); | |
| 458 | 3485 |
| 3486 if (nr > 0 && nc > 0) | |
| 3487 { | |
| 3488 result.resize (nc); | |
|
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
3489 idx_arg.resize (1, nc); |
| 458 | 3490 |
| 5275 | 3491 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3492 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3493 bool real_only = column_is_real_only (j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3494 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3495 octave_idx_type idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3496 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3497 Complex tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3498 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3499 double abs_max = octave_NaN; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3500 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3501 for (idx_i = 0; idx_i < nr; idx_i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3502 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3503 tmp_max = elem (idx_i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3504 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3505 if (! xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3506 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3507 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3508 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3509 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3510 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3511 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3512 for (octave_idx_type i = idx_i+1; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3513 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3514 Complex tmp = elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3515 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3516 if (xisnan (tmp)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3517 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3518 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3519 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3520 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3521 if (abs_tmp > abs_max) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3522 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3523 idx_i = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3524 tmp_max = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3525 abs_max = abs_tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3526 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3527 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3528 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3529 if (xisnan (tmp_max)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3530 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3531 result.elem (j) = Complex_NaN_result; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3532 idx_arg.elem (j) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3533 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3534 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3535 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3536 result.elem (j) = tmp_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3537 idx_arg.elem (j) = idx_i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3538 } |
| 458 | 3539 } |
| 3540 } | |
| 3541 | |
| 3542 return result; | |
| 3543 } | |
| 3544 | |
| 3545 // i/o | |
| 3546 | |
| 3504 | 3547 std::ostream& |
| 3548 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3549 { |
| 5275 | 3550 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3551 { |
| 5275 | 3552 for (octave_idx_type j = 0; j < a.cols (); j++) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3553 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3554 os << " "; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3555 octave_write_complex (os, a.elem (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3556 } |
| 458 | 3557 os << "\n"; |
| 3558 } | |
| 3559 return os; | |
| 3560 } | |
| 3561 | |
| 3504 | 3562 std::istream& |
| 3563 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3564 { |
| 5275 | 3565 octave_idx_type nr = a.rows (); |
| 3566 octave_idx_type nc = a.cols (); | |
| 458 | 3567 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3568 if (nr > 0 && nc > 0) |
| 458 | 3569 { |
| 3570 Complex tmp; | |
| 5275 | 3571 for (octave_idx_type i = 0; i < nr; i++) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3572 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3573 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3574 tmp = octave_read_value<Complex> (is); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3575 if (is) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3576 a.elem (i, j) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3577 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3578 goto done; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3579 } |
| 458 | 3580 } |
| 3581 | |
| 2993 | 3582 done: |
| 3583 | |
| 458 | 3584 return is; |
| 3585 } | |
| 3586 | |
| 1819 | 3587 ComplexMatrix |
| 3588 Givens (const Complex& x, const Complex& y) | |
| 3589 { | |
| 3590 double cc; | |
| 3591 Complex cs, temp_r; | |
| 3592 | |
| 3887 | 3593 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3594 |
| 3595 ComplexMatrix g (2, 2); | |
| 3596 | |
| 3597 g.elem (0, 0) = cc; | |
| 3598 g.elem (1, 1) = cc; | |
| 3599 g.elem (0, 1) = cs; | |
| 3600 g.elem (1, 0) = -conj (cs); | |
| 3601 | |
| 3602 return g; | |
| 3603 } | |
| 3604 | |
| 3605 ComplexMatrix | |
| 3606 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3607 const ComplexMatrix& c) |
| 1819 | 3608 { |
| 3609 ComplexMatrix retval; | |
| 3610 | |
| 5775 | 3611 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3612 // size. |
| 3613 | |
| 3614 // Compute Schur decompositions | |
| 3615 | |
| 3616 ComplexSCHUR as (a, "U"); | |
| 3617 ComplexSCHUR bs (b, "U"); | |
| 3618 | |
| 3619 // Transform c to new coordinates. | |
| 3620 | |
| 3621 ComplexMatrix ua = as.unitary_matrix (); | |
| 3622 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3623 | |
| 3624 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3625 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3626 | |
| 3627 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3628 | |
| 3629 // Solve the sylvester equation, back-transform, and return the | |
| 3630 // solution. | |
| 3631 | |
| 5275 | 3632 octave_idx_type a_nr = a.rows (); |
| 3633 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3634 |
| 3635 double scale; | |
| 5275 | 3636 octave_idx_type info; |
| 1950 | 3637 |
| 3638 Complex *pa = sch_a.fortran_vec (); | |
| 3639 Complex *pb = sch_b.fortran_vec (); | |
| 3640 Complex *px = cx.fortran_vec (); | |
| 1819 | 3641 |
| 4552 | 3642 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3643 F77_CONST_CHAR_ARG2 ("N", 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3644 1, a_nr, b_nr, pa, a_nr, pb, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3645 b_nr, px, a_nr, scale, info |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3646 F77_CHAR_ARG_LEN (1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3647 F77_CHAR_ARG_LEN (1))); |
| 1950 | 3648 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3649 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3650 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3651 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3652 |
| 3653 return retval; | |
| 3654 } | |
| 3655 | |
| 2828 | 3656 ComplexMatrix |
| 3657 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3658 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3659 if (m.columns () > std::min (m.rows (), a.columns ()) / 10) |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3660 return ComplexMatrix (real (m) * a, imag (m) * a); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3661 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3662 return m * ComplexMatrix (a); |
| 2828 | 3663 } |
| 3664 | |
| 3665 ComplexMatrix | |
| 3666 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3667 { | |
|
9663
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3668 if (a.rows () > std::min (m.rows (), a.columns ()) / 10) |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3669 return ComplexMatrix (m * real (a), m * imag (a)); |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3670 else |
|
7e5b4de5fbfe
improve mixed real x complex ops
Jaroslav Hajek <highegg@gmail.com>
parents:
9661
diff
changeset
|
3671 return m * ComplexMatrix (a); |
| 2828 | 3672 } |
| 3673 | |
| 6162 | 3674 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3675 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3676 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3677 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i 6+i ; 7+i 8+i], [17 + 15i 20 + 17i; 41 + 19i 48 + 21i], 1e-14) | |
|
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3678 %!assert([1 i]*[i 0]', -i); |
| 6162 | 3679 */ |
| 3680 | |
| 3681 /* Test some simple identities | |
| 3682 %!shared M, cv, rv | |
| 3683 %! M = randn(10,10)+i*rand(10,10); | |
| 3684 %! cv = randn(10,1)+i*rand(10,1); | |
| 3685 %! rv = randn(1,10)+i*rand(1,10); | |
| 3686 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3687 %!assert([M.'*cv,M.'*cv],M.'*[cv,cv],1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3688 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3689 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3690 %!assert([rv*M.';rv*M.'],[rv;rv]*M.',1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3691 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3692 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3693 */ | |
| 3694 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3695 static const char * |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3696 get_blas_trans_arg (bool trans, bool conj) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3697 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3698 static char blas_notrans = 'N', blas_trans = 'T', blas_conj_trans = 'C'; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3699 return trans ? (conj ? &blas_conj_trans : &blas_trans) : &blas_notrans; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3700 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3701 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3702 // the general GEMM operation |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3703 |
| 2828 | 3704 ComplexMatrix |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3705 xgemm (const ComplexMatrix& a, const ComplexMatrix& b, |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3706 blas_trans_type transa, blas_trans_type transb) |
| 2828 | 3707 { |
| 3708 ComplexMatrix retval; | |
| 3709 | |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3710 bool tra = transa != blas_no_trans, trb = transb != blas_no_trans; |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3711 bool cja = transa == blas_conj_trans, cjb = transb == blas_conj_trans; |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3712 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3713 octave_idx_type a_nr = tra ? a.cols () : a.rows (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3714 octave_idx_type a_nc = tra ? a.rows () : a.cols (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3715 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3716 octave_idx_type b_nr = trb ? b.cols () : b.rows (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3717 octave_idx_type b_nc = trb ? b.rows () : b.cols (); |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3718 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3719 if (a_nc != b_nr) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3720 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3721 else |
| 3722 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3723 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3724 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3725 else if (a.data () == b.data () && a_nr == b_nc && tra != trb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3726 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3727 octave_idx_type lda = a.rows (); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3728 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3729 retval = ComplexMatrix (a_nr, b_nc); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3730 Complex *c = retval.fortran_vec (); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3731 |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3732 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3733 if (cja || cjb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3734 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3735 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3736 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3737 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3738 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3739 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3740 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3741 for (octave_idx_type j = 0; j < a_nr; j++) |
|
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3742 for (octave_idx_type i = 0; i < j; i++) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3743 retval.xelem (j,i) = std::conj (retval.xelem (i,j)); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3744 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3745 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3746 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3747 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3748 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3749 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3750 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3751 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3752 F77_CHAR_ARG_LEN (1))); |
|
10124
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3753 for (octave_idx_type j = 0; j < a_nr; j++) |
|
e5c6600e3400
use octave_idx_type where needed
Jaroslav Hajek <highegg@gmail.com>
parents:
10105
diff
changeset
|
3754 for (octave_idx_type i = 0; i < j; i++) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3755 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3756 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3757 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3758 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3759 } |
| 2828 | 3760 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3761 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3762 octave_idx_type lda = a.rows (), tda = a.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3763 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3764 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3765 retval = ComplexMatrix (a_nr, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3766 Complex *c = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3767 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3768 if (b_nc == 1 && a_nr == 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3769 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3770 if (cja == cjb) |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3771 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3772 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3773 if (cja) *c = std::conj (*c); |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3774 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3775 else if (cja) |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3776 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3777 else |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3778 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3779 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3780 else if (b_nc == 1 && ! cjb) |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3781 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3782 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3783 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3784 lda, tda, 1.0, a.data (), lda, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3785 b.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3786 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3787 } |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3788 else if (a_nr == 1 && ! cja && ! cjb) |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3789 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3790 const char *crevtrb = get_blas_trans_arg (! trb, cjb); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3791 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (crevtrb, 1), |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3792 ldb, tdb, 1.0, b.data (), ldb, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3793 a.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3794 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3795 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3796 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3797 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3798 const char *ctra = get_blas_trans_arg (tra, cja); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3799 const char *ctrb = get_blas_trans_arg (trb, cjb); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3800 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (ctra, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3801 F77_CONST_CHAR_ARG2 (ctrb, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3802 a_nr, b_nc, a_nc, 1.0, a.data (), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3803 lda, b.data (), ldb, 0.0, c, a_nr |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3804 F77_CHAR_ARG_LEN (1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3805 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3806 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3807 } |
| 2828 | 3808 } |
| 3809 | |
| 3810 return retval; | |
| 3811 } | |
| 3812 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3813 ComplexMatrix |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3814 operator * (const ComplexMatrix& a, const ComplexMatrix& b) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3815 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9663
diff
changeset
|
3816 return xgemm (a, b); |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3817 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3818 |
| 5775 | 3819 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3820 // functions below. |
| 3821 | |
| 3822 #define EMPTY_RETURN_CHECK(T) \ | |
| 3823 if (nr == 0 || nc == 0) \ | |
| 3824 return T (nr, nc); | |
| 3825 | |
| 3826 ComplexMatrix | |
| 3827 min (const Complex& c, const ComplexMatrix& m) | |
| 3828 { | |
| 5275 | 3829 octave_idx_type nr = m.rows (); |
| 3830 octave_idx_type nc = m.columns (); | |
| 4309 | 3831 |
| 3832 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3833 | |
| 3834 ComplexMatrix result (nr, nc); | |
| 3835 | |
| 5275 | 3836 for (octave_idx_type j = 0; j < nc; j++) |
| 3837 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3838 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3839 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3840 result (i, j) = xmin (c, m (i, j)); |
| 4309 | 3841 } |
| 3842 | |
| 3843 return result; | |
| 3844 } | |
| 3845 | |
| 3846 ComplexMatrix | |
| 3847 min (const ComplexMatrix& m, const Complex& c) | |
| 3848 { | |
| 5275 | 3849 octave_idx_type nr = m.rows (); |
| 3850 octave_idx_type nc = m.columns (); | |
| 4309 | 3851 |
| 3852 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3853 | |
| 3854 ComplexMatrix result (nr, nc); | |
| 3855 | |
| 5275 | 3856 for (octave_idx_type j = 0; j < nc; j++) |
| 3857 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3858 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3859 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3860 result (i, j) = xmin (m (i, j), c); |
| 4309 | 3861 } |
| 3862 | |
| 3863 return result; | |
| 3864 } | |
| 3865 | |
| 3866 ComplexMatrix | |
| 3867 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3868 { | |
| 5275 | 3869 octave_idx_type nr = a.rows (); |
| 3870 octave_idx_type nc = a.columns (); | |
| 4309 | 3871 |
| 3872 if (nr != b.rows () || nc != b.columns ()) | |
| 3873 { | |
| 3874 (*current_liboctave_error_handler) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3875 ("two-arg min expecting args of same size"); |
| 4309 | 3876 return ComplexMatrix (); |
| 3877 } | |
| 3878 | |
| 3879 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3880 | |
| 3881 ComplexMatrix result (nr, nc); | |
| 3882 | |
| 5275 | 3883 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3884 { |
| 3885 int columns_are_real_only = 1; | |
| 5275 | 3886 for (octave_idx_type i = 0; i < nr; i++) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3887 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3888 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3889 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3890 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3891 columns_are_real_only = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3892 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3893 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3894 } |
| 4309 | 3895 |
| 3896 if (columns_are_real_only) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3897 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3898 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3899 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3900 } |
| 4309 | 3901 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3902 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3903 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3904 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3905 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3906 result (i, j) = xmin (a (i, j), b (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3907 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3908 } |
| 4309 | 3909 } |
| 3910 | |
| 3911 return result; | |
| 3912 } | |
| 3913 | |
| 3914 ComplexMatrix | |
| 3915 max (const Complex& c, const ComplexMatrix& m) | |
| 3916 { | |
| 5275 | 3917 octave_idx_type nr = m.rows (); |
| 3918 octave_idx_type nc = m.columns (); | |
| 4309 | 3919 |
| 3920 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3921 | |
| 3922 ComplexMatrix result (nr, nc); | |
| 3923 | |
| 5275 | 3924 for (octave_idx_type j = 0; j < nc; j++) |
| 3925 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3926 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3927 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3928 result (i, j) = xmax (c, m (i, j)); |
| 4309 | 3929 } |
| 3930 | |
| 3931 return result; | |
| 3932 } | |
| 3933 | |
| 3934 ComplexMatrix | |
| 3935 max (const ComplexMatrix& m, const Complex& c) | |
| 3936 { | |
| 5275 | 3937 octave_idx_type nr = m.rows (); |
| 3938 octave_idx_type nc = m.columns (); | |
| 4309 | 3939 |
| 3940 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3941 | |
| 3942 ComplexMatrix result (nr, nc); | |
| 3943 | |
| 5275 | 3944 for (octave_idx_type j = 0; j < nc; j++) |
| 3945 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3946 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3947 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3948 result (i, j) = xmax (m (i, j), c); |
| 4309 | 3949 } |
| 3950 | |
| 3951 return result; | |
| 3952 } | |
| 3953 | |
| 3954 ComplexMatrix | |
| 3955 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3956 { | |
| 5275 | 3957 octave_idx_type nr = a.rows (); |
| 3958 octave_idx_type nc = a.columns (); | |
| 4309 | 3959 |
| 3960 if (nr != b.rows () || nc != b.columns ()) | |
| 3961 { | |
| 3962 (*current_liboctave_error_handler) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3963 ("two-arg max expecting args of same size"); |
| 4309 | 3964 return ComplexMatrix (); |
| 3965 } | |
| 3966 | |
| 3967 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3968 | |
| 3969 ComplexMatrix result (nr, nc); | |
| 3970 | |
| 5275 | 3971 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3972 { |
| 3973 int columns_are_real_only = 1; | |
| 5275 | 3974 for (octave_idx_type i = 0; i < nr; i++) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3975 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3976 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3977 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3978 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3979 columns_are_real_only = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3980 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3981 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3982 } |
| 4309 | 3983 |
| 3984 if (columns_are_real_only) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3985 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3986 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3987 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3988 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3989 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3990 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3991 } |
| 4309 | 3992 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3993 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3994 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3995 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3996 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3997 result (i, j) = xmax (a (i, j), b (i, j)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3998 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10213
diff
changeset
|
3999 } |
| 4309 | 4000 } |
| 4001 | |
| 4002 return result; | |
| 4003 } | |
| 4004 | |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4005 ComplexMatrix linspace (const ComplexColumnVector& x1, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4006 const ComplexColumnVector& x2, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4007 octave_idx_type n) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4008 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4009 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4010 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4011 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4012 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4013 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4014 if (x2.length () != m) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4015 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4016 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4017 NoAlias<ComplexMatrix> retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4018 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4019 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4020 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4021 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4022 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4023 // The last column is not needed while using delta. |
|
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4024 Complex *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4025 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4026 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4027 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4028 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4029 for (octave_idx_type i = 0; i < m; i++) |
|
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4030 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4031 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4032 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4033 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4034 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4035 return retval; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4036 } |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4037 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4038 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4039 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4040 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4041 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4042 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4043 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4044 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4045 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |