annotate src/DLD-FUNCTIONS/det.cc @ 14138:72c96de7a403 stable

maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 5fa482628bf6
children 60e5cf354d80
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1 /*
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2
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3 Copyright (C) 1996-2012 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 "DET.h"
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29 #include "defun-dld.h"
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30 #include "error.h"
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31 #include "gripes.h"
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32 #include "oct-obj.h"
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33 #include "utils.h"
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34 #include "ops.h"
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35
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36 #include "ov-re-mat.h"
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37 #include "ov-cx-mat.h"
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38 #include "ov-flt-re-mat.h"
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39 #include "ov-flt-cx-mat.h"
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40 #include "ov-re-diag.h"
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41 #include "ov-cx-diag.h"
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42 #include "ov-flt-re-diag.h"
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43 #include "ov-flt-cx-diag.h"
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44 #include "ov-perm.h"
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45
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46 #define MAYBE_CAST(VAR, CLASS) \
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47 const CLASS *VAR = arg.type_id () == CLASS::static_type_id () ? \
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48 dynamic_cast<const CLASS *> (&arg.get_rep ()) : 0
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49
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50 DEFUN_DLD (det, args, nargout,
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51 "-*- texinfo -*-\n\
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52 @deftypefn {Loadable Function} {} det (@var{A})\n\
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53 @deftypefnx {Loadable Function} {[@var{d}, @var{rcond}] =} det (@var{A})\n\
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54 Compute the determinant of @var{A}.\n\
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55 \n\
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56 Return an estimate of the reciprocal condition number if requested.\n\
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57 \n\
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58 Routines from @sc{lapack} are used for full matrices and code from\n\
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59 @sc{umfpack} is used for sparse matrices.\n\
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60 \n\
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61 The determinant should not be used to check a matrix for singularity.\n\
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62 For that, use any of the condition number functions: @code{cond},\n\
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63 @code{condest}, @code{rcond}.\n\
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64 @seealso{cond, condest, rcond}\n\
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65 @end deftypefn")
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66 {
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67 octave_value_list retval;
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68
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69 int nargin = args.length ();
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70
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71 if (nargin != 1)
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72 {
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73 print_usage ();
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74 return retval;
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75 }
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76
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77 octave_value arg = args(0);
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78
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79 octave_idx_type nr = arg.rows ();
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80 octave_idx_type nc = arg.columns ();
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81
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82 if (nr == 0 && nc == 0)
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83 {
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84 retval(0) = 1.0;
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85 return retval;
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86 }
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87
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88 int arg_is_empty = empty_arg ("det", nr, nc);
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89 if (arg_is_empty < 0)
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90 return retval;
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91 if (arg_is_empty > 0)
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92 return octave_value (Matrix (1, 1, 1.0));
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93
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94
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95 if (nr != nc)
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96 {
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97 gripe_square_matrix_required ("det");
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98 return retval;
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99 }
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100
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101 bool isfloat = arg.is_single_type ();
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102
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103 if (arg.is_diag_matrix ())
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104 {
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105 if (arg.is_complex_type ())
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106 {
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107 if (isfloat)
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108 {
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109 retval(0) = arg.float_complex_diag_matrix_value ().determinant ().value ();
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110 if (nargout > 1)
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111 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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112 }
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113 else
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114 {
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115 retval(0) = arg.complex_diag_matrix_value ().determinant ().value ();
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116 if (nargout > 1)
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117 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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118 }
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119 }
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120 else
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121 {
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122 if (isfloat)
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123 {
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124 retval(0) = arg.float_diag_matrix_value ().determinant ().value ();
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125 if (nargout > 1)
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126 retval(1) = arg.float_diag_matrix_value ().rcond ();
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127 }
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128 else
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129 {
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130 retval(0) = arg.diag_matrix_value ().determinant ().value ();
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131 if (nargout > 1)
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132 retval(1) = arg.diag_matrix_value ().rcond ();
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133 }
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134 }
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135 }
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136 else if (arg.is_perm_matrix ())
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137 {
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138 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ());
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139 if (nargout > 1)
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140 retval(1) = 1.0;
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141 }
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142 else if (arg.is_single_type ())
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143 {
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144 if (arg.is_real_type ())
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40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
145 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
146 octave_idx_type info;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
147 float rcond = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
148 // Always compute rcond, so we can detect numerically
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
149 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
150 FloatMatrix m = arg.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
151 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
152 {
8337
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diff changeset
153 MAYBE_CAST (rep, octave_float_matrix);
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diff changeset
154 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
155 FloatDET det = m.determinant (mtype, info, rcond);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
156 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
157 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value ();
8337
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diff changeset
158 if (rep) rep->matrix_type (mtype);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
159 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
160 }
7789
82be108cc558 First attempt at single precision tyeps
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diff changeset
161 else if (arg.is_complex_type ())
10154
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diff changeset
162 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
163 octave_idx_type info;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
164 float rcond = 0.0;
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165 // Always compute rcond, so we can detect numerically
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
166 // singular matrices.
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diff changeset
167 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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diff changeset
168 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
169 {
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diff changeset
170 MAYBE_CAST (rep, octave_float_complex_matrix);
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parents: 8335
diff changeset
171 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
172 FloatComplexDET det = m.determinant (mtype, info, rcond);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
173 retval(1) = rcond;
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diff changeset
174 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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diff changeset
175 if (rep) rep->matrix_type (mtype);
10154
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diff changeset
176 }
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diff changeset
177 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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178 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
179 else
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diff changeset
180 {
82be108cc558 First attempt at single precision tyeps
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diff changeset
181 if (arg.is_real_type ())
10154
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diff changeset
182 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
183 octave_idx_type info;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
184 double rcond = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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185 // Always compute rcond, so we can detect numerically
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diff changeset
186 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
187 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
188 {
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diff changeset
189 SparseMatrix m = arg.sparse_matrix_value ();
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diff changeset
190 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
191 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
192 DET det = m.determinant (info, rcond);
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193 retval(1) = rcond;
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diff changeset
194 retval(0) = info == -1 ? 0.0 : det.value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
195 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
196 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
197 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
198 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
199 Matrix m = arg.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
200 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
201 {
8337
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diff changeset
202 MAYBE_CAST (rep, octave_matrix);
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diff changeset
203 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
204 DET det = m.determinant (mtype, info, rcond);
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diff changeset
205 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
206 retval(0) = info == -1 ? 0.0 : det.value ();
8337
e02242c54c49 reuse matrix type detected in det
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diff changeset
207 if (rep) rep->matrix_type (mtype);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
208 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
209 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
210 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
211 else if (arg.is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
212 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
213 octave_idx_type info;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
214 double rcond = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
215 // Always compute rcond, so we can detect numerically
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
216 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
217 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
218 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
219 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
220 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
221 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
222 ComplexDET det = m.determinant (info, rcond);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
223 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
224 retval(0) = info == -1 ? Complex (0.0) : det.value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
225 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
226 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
227 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
228 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
229 ComplexMatrix m = arg.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
230 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
231 {
8337
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diff changeset
232 MAYBE_CAST (rep, octave_complex_matrix);
e02242c54c49 reuse matrix type detected in det
Jaroslav Hajek <highegg@gmail.com>
parents: 8335
diff changeset
233 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
234 ComplexDET det = m.determinant (mtype, info, rcond);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
235 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
236 retval(0) = info == -1 ? Complex (0.0) : det.value ();
8337
e02242c54c49 reuse matrix type detected in det
Jaroslav Hajek <highegg@gmail.com>
parents: 8335
diff changeset
237 if (rep) rep->matrix_type (mtype);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
238 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
239 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
240 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
241 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9209
diff changeset
242 gripe_wrong_type_arg ("det", arg);
7789
82be108cc558 First attempt at single precision tyeps
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diff changeset
243 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
244 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
245 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
246
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
247 /*
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff changeset
248
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
249 %!assert(det ([1, 2; 3, 4]), -2, 10 * eps);
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
250 %!assert(det (single([1, 2; 3, 4])), single(-2), 10 * eps ('single'));
13915
5fa482628bf6 Remove unnecessary regular expression '.*' from ends of %!error blocks
Rik <octave@nomad.inbox5.com>
parents: 11586
diff changeset
251 %!error <Invalid call to det> det ();
5fa482628bf6 Remove unnecessary regular expression '.*' from ends of %!error blocks
Rik <octave@nomad.inbox5.com>
parents: 11586
diff changeset
252 %!error <Invalid call to det> det (1, 2);
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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diff changeset
253 %!error det ([1, 2; 3, 4; 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs
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parents: 7789
diff changeset
254
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
255 */