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eliminate more simple uses of error_state * graphics.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Tue, 06 Oct 2015 14:47:41 -0400
parents b70cc4bd8109
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 1996-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include "CmplxSVD.h"
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28 #include "dbleSVD.h"
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29 #include "fCmplxSVD.h"
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30 #include "floatSVD.h"
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31
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32 #include "defun.h"
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33 #include "error.h"
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34 #include "gripes.h"
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35 #include "oct-obj.h"
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36 #include "pr-output.h"
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37 #include "utils.h"
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38 #include "variables.h"
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39
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40 static int Vsvd_driver = SVD::GESVD;
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41
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42 DEFUN (svd, args, nargout,
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43 "-*- texinfo -*-\n\
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44 @deftypefn {Built-in Function} {@var{s} =} svd (@var{A})\n\
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45 @deftypefnx {Built-in Function} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A})\n\
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46 @deftypefnx {Built-in Function} {[@var{U}, @var{S}, @var{V}] =} svd (@var{A}, @var{econ})\n\
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47 @cindex singular value decomposition\n\
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48 Compute the singular value decomposition of @var{A}\n\
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49 @tex\n\
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50 $$\n\
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51 A = U S V^{\\dagger}\n\
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52 $$\n\
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53 @end tex\n\
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54 @ifnottex\n\
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55 \n\
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56 @example\n\
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57 A = U*S*V'\n\
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58 @end example\n\
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59 \n\
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60 @end ifnottex\n\
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61 \n\
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62 The function @code{svd} normally returns only the vector of singular values.\n\
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63 When called with three return values, it computes\n\
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64 @tex\n\
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65 $U$, $S$, and $V$.\n\
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66 @end tex\n\
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67 @ifnottex\n\
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68 @var{U}, @var{S}, and @var{V}.\n\
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69 @end ifnottex\n\
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70 For example,\n\
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71 \n\
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72 @example\n\
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73 svd (hilb (3))\n\
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74 @end example\n\
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75 \n\
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76 @noindent\n\
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77 returns\n\
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78 \n\
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79 @example\n\
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80 @group\n\
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81 ans =\n\
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82 \n\
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83 1.4083189\n\
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84 0.1223271\n\
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85 0.0026873\n\
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86 @end group\n\
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87 @end example\n\
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88 \n\
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89 @noindent\n\
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90 and\n\
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91 \n\
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92 @example\n\
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93 [u, s, v] = svd (hilb (3))\n\
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94 @end example\n\
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95 \n\
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96 @noindent\n\
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97 returns\n\
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98 \n\
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99 @example\n\
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100 @group\n\
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101 u =\n\
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102 \n\
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103 -0.82704 0.54745 0.12766\n\
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104 -0.45986 -0.52829 -0.71375\n\
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105 -0.32330 -0.64901 0.68867\n\
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106 \n\
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107 s =\n\
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108 \n\
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109 1.40832 0.00000 0.00000\n\
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110 0.00000 0.12233 0.00000\n\
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111 0.00000 0.00000 0.00269\n\
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112 \n\
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113 v =\n\
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114 \n\
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115 -0.82704 0.54745 0.12766\n\
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116 -0.45986 -0.52829 -0.71375\n\
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117 -0.32330 -0.64901 0.68867\n\
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118 @end group\n\
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119 @end example\n\
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120 \n\
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121 If given a second argument, @code{svd} returns an economy-sized\n\
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122 decomposition, eliminating the unnecessary rows or columns of @var{U} or\n\
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123 @var{V}.\n\
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124 @seealso{svd_driver, svds, eig, lu, chol, hess, qr, qz}\n\
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125 @end deftypefn")
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126 {
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127 octave_value_list retval;
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128
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129 int nargin = args.length ();
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130
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131 if (nargin < 1 || nargin > 2 || nargout == 2 || nargout > 3)
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132 print_usage ();
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133
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134 octave_value arg = args(0);
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135
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136 octave_idx_type nr = arg.rows ();
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137 octave_idx_type nc = arg.columns ();
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138
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139 if (arg.ndims () != 2)
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140 error ("svd: A must be a 2-D matrix");
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141
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142 bool isfloat = arg.is_single_type ();
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143
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144 SVD::type type = ((nargout == 0 || nargout == 1)
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145 ? SVD::sigma_only
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146 : (nargin == 2) ? SVD::economy : SVD::std);
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147
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Jaroslav Hajek <highegg@gmail.com>
parents: 10601
diff changeset
148 SVD::driver driver = static_cast<SVD::driver> (Vsvd_driver);
e1559a8a60b4 general mechanism for string enum variables
Jaroslav Hajek <highegg@gmail.com>
parents: 10601
diff changeset
149
4478
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diff changeset
150 if (nr == 0 || nc == 0)
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jwe
parents:
diff changeset
151 {
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parents: 7017
diff changeset
152 if (isfloat)
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diff changeset
153 {
10185
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diff changeset
154 switch (type)
10154
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diff changeset
155 {
10185
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
156 case SVD::std:
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
157 retval(2) = FloatDiagMatrix (nc, nc, 1.0f);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
158 retval(1) = FloatMatrix (nr, nc);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
159 retval(0) = FloatDiagMatrix (nr, nr, 1.0f);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
160 break;
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parents: 20207
diff changeset
161
10185
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Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
162 case SVD::economy:
455759a5fcbe fix norm and svd on empty matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
163 retval(2) = FloatDiagMatrix (0, nc, 1.0f);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
164 retval(1) = FloatMatrix (0, 0);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
165 retval(0) = FloatDiagMatrix (nr, 0, 1.0f);
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parents: 10155
diff changeset
166 break;
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diff changeset
167
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
168 case SVD::sigma_only: default:
10185
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parents: 10155
diff changeset
169 retval(0) = FloatMatrix (0, 1);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
170 break;
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parents: 9758
diff changeset
171 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
172 }
4478
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jwe
parents: 3548
diff changeset
173 else
10154
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parents: 9758
diff changeset
174 {
10185
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parents: 10155
diff changeset
175 switch (type)
10154
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parents: 9758
diff changeset
176 {
10185
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parents: 10155
diff changeset
177 case SVD::std:
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
178 retval(2) = DiagMatrix (nc, nc, 1.0);
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parents: 10155
diff changeset
179 retval(1) = Matrix (nr, nc);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
180 retval(0) = DiagMatrix (nr, nr, 1.0);
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parents: 10155
diff changeset
181 break;
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diff changeset
182
10185
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parents: 10155
diff changeset
183 case SVD::economy:
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
184 retval(2) = DiagMatrix (0, nc, 1.0);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
185 retval(1) = Matrix (0, 0);
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parents: 10155
diff changeset
186 retval(0) = DiagMatrix (nr, 0, 1.0);
455759a5fcbe fix norm and svd on empty matrices
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parents: 10155
diff changeset
187 break;
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diff changeset
188
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parents: 20207
diff changeset
189 case SVD::sigma_only: default:
10185
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parents: 10155
diff changeset
190 retval(0) = Matrix (0, 1);
455759a5fcbe fix norm and svd on empty matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 10155
diff changeset
191 break;
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parents: 9758
diff changeset
192 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9758
diff changeset
193 }
2928
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jwe
parents:
diff changeset
194 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
195 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
196 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
197 if (isfloat)
10154
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parents: 9758
diff changeset
198 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9758
diff changeset
199 if (arg.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
200 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9758
diff changeset
201 FloatMatrix tmp = arg.float_matrix_value ();
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diff changeset
202
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parents: 20207
diff changeset
203 if (tmp.any_element_is_inf_or_nan ())
b70cc4bd8109 begin removal of global error_state variable
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parents: 20207
diff changeset
204 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
4478
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jwe
parents: 3548
diff changeset
205
20569
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parents: 20207
diff changeset
206 FloatSVD result (tmp, type, driver);
b70cc4bd8109 begin removal of global error_state variable
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parents: 20207
diff changeset
207
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
208 FloatDiagMatrix sigma = result.singular_values ();
4478
7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe]
jwe
parents: 3548
diff changeset
209
20569
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diff changeset
210 if (nargout == 0 || nargout == 1)
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John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
211 retval(0) = sigma.extract_diag ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
212 else
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
213 {
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
214 retval(2) = result.right_singular_matrix ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
215 retval(1) = sigma;
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
216 retval(0) = result.left_singular_matrix ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
217 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
218 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
219 else if (arg.is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
220 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
221 FloatComplexMatrix ctmp = arg.float_complex_matrix_value ();
4478
7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe]
jwe
parents: 3548
diff changeset
222
20569
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parents: 20207
diff changeset
223 if (ctmp.any_element_is_inf_or_nan ())
b70cc4bd8109 begin removal of global error_state variable
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parents: 20207
diff changeset
224 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
4478
7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe]
jwe
parents: 3548
diff changeset
225
20569
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parents: 20207
diff changeset
226 FloatComplexSVD result (ctmp, type, driver);
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
227
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
228 FloatDiagMatrix sigma = result.singular_values ();
4478
7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe]
jwe
parents: 3548
diff changeset
229
20569
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parents: 20207
diff changeset
230 if (nargout == 0 || nargout == 1)
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
231 retval(0) = sigma.extract_diag ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
232 else
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
233 {
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
234 retval(2) = result.right_singular_matrix ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
235 retval(1) = sigma;
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
236 retval(0) = result.left_singular_matrix ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
237 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
238 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
239 }
4478
7afd4bf05aa8 [project @ 2003-07-30 19:15:31 by jwe]
jwe
parents: 3548
diff changeset
240 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
241 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
242 if (arg.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
243 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
244 Matrix tmp = arg.matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
245
20569
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
246 if (tmp.any_element_is_inf_or_nan ())
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
247 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
248
20569
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
249 SVD result (tmp, type, driver);
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
250
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
251 DiagMatrix sigma = result.singular_values ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
252
20569
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
253 if (nargout == 0 || nargout == 1)
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
254 retval(0) = sigma.extract_diag ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
255 else
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
256 {
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
257 retval(2) = result.right_singular_matrix ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
258 retval(1) = sigma;
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
259 retval(0) = result.left_singular_matrix ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
260 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
261 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
262 else if (arg.is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
263 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
264 ComplexMatrix ctmp = arg.complex_matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
265
20569
b70cc4bd8109 begin removal of global error_state variable
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parents: 20207
diff changeset
266 if (ctmp.any_element_is_inf_or_nan ())
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
267 error ("svd: cannot take SVD of matrix containing Inf or NaN values");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
268
20569
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John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
269 ComplexSVD result (ctmp, type, driver);
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
270
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
271 DiagMatrix sigma = result.singular_values ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
272
20569
b70cc4bd8109 begin removal of global error_state variable
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parents: 20207
diff changeset
273 if (nargout == 0 || nargout == 1)
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
274 retval(0) = sigma.extract_diag ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
275 else
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
276 {
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
277 retval(2) = result.right_singular_matrix ();
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
278 retval(1) = sigma;
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
279 retval(0) = result.left_singular_matrix ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
280 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
281 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
282 else
20569
b70cc4bd8109 begin removal of global error_state variable
John W. Eaton <jwe@octave.org>
parents: 20207
diff changeset
283 gripe_wrong_type_arg ("svd", arg);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
284 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
285 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
286
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
287 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
288 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
289
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
290 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
291 %!assert (svd ([1, 2; 2, 1]), [3; 1], sqrt (eps))
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
292
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
293 %!test
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294 %! [u, s, v] = svd ([1, 2; 2, 1]);
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295 %! x = 1 / sqrt (2);
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296 %! assert (u, [-x, -x; -x, x], sqrt (eps));
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297 %! assert (s, [3, 0; 0, 1], sqrt (eps));
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298 %! assert (v, [-x, x; -x, -x], sqrt (eps));
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299
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300 %!test
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301 %! a = [1, 2, 3; 4, 5, 6];
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302 %! [u, s, v] = svd (a);
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303 %! assert (u * s * v', a, sqrt (eps));
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304
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305 %!test
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306 %! a = [1, 2; 3, 4; 5, 6];
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307 %! [u, s, v] = svd (a);
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308 %! assert (u * s * v', a, sqrt (eps));
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309
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310 %!test
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311 %! a = [1, 2, 3; 4, 5, 6];
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312 %! [u, s, v] = svd (a, 1);
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313 %! assert (u * s * v', a, sqrt (eps));
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314
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315 %!test
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316 %! a = [1, 2; 3, 4; 5, 6];
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317 %! [u, s, v] = svd (a, 1);
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318 %! assert (u * s * v', a, sqrt (eps));
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319
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320 %!assert (svd (single ([1, 2; 2, 1])), single ([3; 1]), sqrt (eps ("single")))
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321
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322 %!test
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323 %! [u, s, v] = svd (single ([1, 2; 2, 1]));
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324 %! x = single (1 / sqrt (2));
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325 %! assert (u, [-x, -x; -x, x], sqrt (eps ("single")));
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326 %! assert (s, single ([3, 0; 0, 1]), sqrt (eps ("single")));
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327 %! assert (v, [-x, x; -x, -x], sqrt (eps ("single")));
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328
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329 %!test
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330 %! a = single ([1, 2, 3; 4, 5, 6]);
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331 %! [u, s, v] = svd (a);
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332 %! assert (u * s * v', a, sqrt (eps ("single")));
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333
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334 %!test
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335 %! a = single ([1, 2; 3, 4; 5, 6]);
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336 %! [u, s, v] = svd (a);
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337 %! assert (u * s * v', a, sqrt (eps ("single")));
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338
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339 %!test
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340 %! a = single ([1, 2, 3; 4, 5, 6]);
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341 %! [u, s, v] = svd (a, 1);
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342 %! assert (u * s * v', a, sqrt (eps ("single")));
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343
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344 %!test
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345 %! a = single ([1, 2; 3, 4; 5, 6]);
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346 %! [u, s, v] = svd (a, 1);
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347 %! assert (u * s * v', a, sqrt (eps ("single")));
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348
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349 %!test
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350 %! a = zeros (0, 5);
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351 %! [u, s, v] = svd (a);
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352 %! assert (size (u), [0, 0]);
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353 %! assert (size (s), [0, 5]);
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354 %! assert (size (v), [5, 5]);
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355
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356 %!test
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357 %! a = zeros (5, 0);
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358 %! [u, s, v] = svd (a, 1);
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359 %! assert (size (u), [5, 0]);
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360 %! assert (size (s), [0, 0]);
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361 %! assert (size (v), [0, 0]);
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362
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363 %!error svd ()
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364 %!error svd ([1, 2; 4, 5], 2, 3)
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365 %!error [u, v] = svd ([1, 2; 3, 4])
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366 */
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367
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368 DEFUN (svd_driver, args, nargout,
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369 "-*- texinfo -*-\n\
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370 @deftypefn {Built-in Function} {@var{val} =} svd_driver ()\n\
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371 @deftypefnx {Built-in Function} {@var{old_val} =} svd_driver (@var{new_val})\n\
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372 @deftypefnx {Built-in Function} {} svd_driver (@var{new_val}, \"local\")\n\
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373 Query or set the underlying @sc{lapack} driver used by @code{svd}.\n\
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374 \n\
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375 Currently recognized values are @qcode{\"gesvd\"} and @qcode{\"gesdd\"}.\n\
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376 The default is @qcode{\"gesvd\"}.\n\
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377 \n\
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378 When called from inside a function with the @qcode{\"local\"} option, the\n\
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379 variable is changed locally for the function and any subroutines it calls.\n\
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380 The original variable value is restored when exiting the function.\n\
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381 @seealso{svd}\n\
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382 @end deftypefn")
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383 {
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384 static const char *driver_names[] = { "gesvd", "gesdd", 0 };
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385
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386 return SET_INTERNAL_VARIABLE_CHOICES (svd_driver, driver_names);
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387 }
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388
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389 /*
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390 %!test
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391 %! A = [1+1i, 1-1i, 0; 0, 2, 0; 1i, 1i, 1+2i];
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392 %! old_driver = svd_driver ("gesvd");
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393 %! [U1, S1, V1] = svd (A);
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394 %! svd_driver ("gesdd");
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395 %! [U2, S2, V2] = svd (A);
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396 %! assert (U1, U2, 5*eps);
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397 %! assert (S1, S2, 5*eps);
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398 %! assert (V1, V2, 5*eps);
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399 %! svd_driver (old_driver);
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400 */