annotate libinterp/corefcn/det.cc @ 19627:446c46af4b42 stable

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libgui/qterminal/libqterminal/unix/ScreenWindow.h, libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp, libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h, libgui/qterminal/libqterminal/unix/Vt102Emulation.h, libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp, libgui/qterminal/qterminal/main.cpp, libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc, libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc, libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc, libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy, libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc, libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc, libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl, libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add, libinterp/mkbuiltins, libinterp/mkdefs, 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scripts/statistics/distributions/unifrnd.m, scripts/statistics/distributions/wblrnd.m, scripts/statistics/models/module.mk, scripts/statistics/tests/kruskal_wallis_test.m, scripts/strings/base2dec.m, scripts/strings/deblank.m, scripts/strings/dec2base.m, scripts/strings/dec2bin.m, scripts/strings/dec2hex.m, scripts/strings/mat2str.m, scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m, scripts/strings/str2num.m, scripts/strings/strcat.m, scripts/strings/strjoin.m, scripts/strings/strsplit.m, scripts/strings/strtok.m, scripts/strings/strtrim.m, scripts/strings/strtrunc.m, scripts/strings/substr.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m, scripts/testfun/test.m, scripts/time/asctime.m, scripts/time/datenum.m, scripts/time/datevec.m, scripts/time/weekday.m, src/Makefile.am, test/Makefile.am, test/build-bc-overload-tests.sh, test/build-sparse-tests.sh, test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Jan 2015 08:26:57 -0500
parents 175b392e91fe
children 4197fc428c7d
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1 /*
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2
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d63878346099 maint: Update copyright notices for release.
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3 Copyright (C) 1996-2013 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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28
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29 #include "defun.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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e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
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50 DEFUN (det, args, nargout,
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51 "-*- texinfo -*-\n\
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52 @deftypefn {Built-in Function} {} det (@var{A})\n\
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53 @deftypefnx {Built-in 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)
4233
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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 ()
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110 .determinant ().value ();
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111 if (nargout > 1)
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112 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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113 }
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114 else
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115 {
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116 retval(0) = arg.complex_diag_matrix_value ()
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117 .determinant ().value ();
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118 if (nargout > 1)
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119 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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120 }
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121 }
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122 else
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123 {
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124 if (isfloat)
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125 {
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126 retval(0) = arg.float_diag_matrix_value ()
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127 .determinant ().value ();
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128 if (nargout > 1)
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129 retval(1) = arg.float_diag_matrix_value ().rcond ();
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130 }
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131 else
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132 {
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133 retval(0) = arg.diag_matrix_value ().determinant ().value ();
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134 if (nargout > 1)
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135 retval(1) = arg.diag_matrix_value ().rcond ();
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136 }
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137 }
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diff changeset
138 }
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139 else if (arg.is_perm_matrix ())
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140 {
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diff changeset
141 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ());
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142 if (nargout > 1)
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diff changeset
143 retval(1) = 1.0;
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144 }
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145 else if (arg.is_single_type ())
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diff changeset
146 {
7789
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diff changeset
147 if (arg.is_real_type ())
10154
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diff changeset
148 {
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diff changeset
149 octave_idx_type info;
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diff changeset
150 float rcond = 0.0;
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diff changeset
151 // Always compute rcond, so we can detect numerically
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diff changeset
152 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
153 FloatMatrix m = arg.float_matrix_value ();
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diff changeset
154 if (! error_state)
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diff changeset
155 {
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diff changeset
156 MAYBE_CAST (rep, octave_float_matrix);
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diff changeset
157 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
158 FloatDET det = m.determinant (mtype, info, rcond);
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diff changeset
159 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
160 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value ();
8337
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diff changeset
161 if (rep) rep->matrix_type (mtype);
10154
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diff changeset
162 }
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diff changeset
163 }
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diff changeset
164 else if (arg.is_complex_type ())
10154
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diff changeset
165 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
166 octave_idx_type info;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
167 float rcond = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
168 // Always compute rcond, so we can detect numerically
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diff changeset
169 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
170 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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diff changeset
171 if (! error_state)
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diff changeset
172 {
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diff changeset
173 MAYBE_CAST (rep, octave_float_complex_matrix);
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diff changeset
174 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
175 FloatComplexDET det = m.determinant (mtype, info, rcond);
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diff changeset
176 retval(1) = rcond;
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diff changeset
177 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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178 if (rep) rep->matrix_type (mtype);
10154
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179 }
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180 }
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181 }
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182 else
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82be108cc558 First attempt at single precision tyeps
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183 {
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184 if (arg.is_real_type ())
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185 {
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186 octave_idx_type info;
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187 double rcond = 0.0;
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188 // Always compute rcond, so we can detect numerically
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189 // singular matrices.
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190 if (arg.is_sparse_type ())
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191 {
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192 SparseMatrix m = arg.sparse_matrix_value ();
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193 if (! error_state)
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194 {
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195 DET det = m.determinant (info, rcond);
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196 retval(1) = rcond;
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197 retval(0) = info == -1 ? 0.0 : det.value ();
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198 }
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199 }
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200 else
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201 {
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202 Matrix m = arg.matrix_value ();
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203 if (! error_state)
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204 {
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205 MAYBE_CAST (rep, octave_matrix);
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206 MatrixType mtype = rep ? rep -> matrix_type ()
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207 : MatrixType ();
10154
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208 DET det = m.determinant (mtype, info, rcond);
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209 retval(1) = rcond;
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210 retval(0) = info == -1 ? 0.0 : det.value ();
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diff changeset
211 if (rep) rep->matrix_type (mtype);
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212 }
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213 }
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214 }
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215 else if (arg.is_complex_type ())
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216 {
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217 octave_idx_type info;
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218 double rcond = 0.0;
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219 // Always compute rcond, so we can detect numerically
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220 // singular matrices.
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221 if (arg.is_sparse_type ())
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diff changeset
222 {
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223 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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224 if (! error_state)
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diff changeset
225 {
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diff changeset
226 ComplexDET det = m.determinant (info, rcond);
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227 retval(1) = rcond;
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228 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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diff changeset
229 }
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diff changeset
230 }
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diff changeset
231 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
232 {
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diff changeset
233 ComplexMatrix m = arg.complex_matrix_value ();
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diff changeset
234 if (! error_state)
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diff changeset
235 {
8337
e02242c54c49 reuse matrix type detected in det
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diff changeset
236 MAYBE_CAST (rep, octave_complex_matrix);
19627
446c46af4b42 strip trailing whitespace from most source files
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diff changeset
237 MatrixType mtype = rep ? rep -> matrix_type ()
17787
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Rik <rik@octave.org>
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diff changeset
238 : MatrixType ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
239 ComplexDET det = m.determinant (mtype, info, rcond);
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diff changeset
240 retval(1) = rcond;
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diff changeset
241 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
242 if (rep) rep->matrix_type (mtype);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
243 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
244 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
245 }
7789
82be108cc558 First attempt at single precision tyeps
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parents: 7650
diff changeset
246 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
247 gripe_wrong_type_arg ("det", arg);
7789
82be108cc558 First attempt at single precision tyeps
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diff changeset
248 }
2928
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parents:
diff changeset
249 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
250 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
251
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
252 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
253 %!assert (det ([1, 2; 3, 4]), -2, 10*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents: 14138
diff changeset
254 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single"))
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents: 14138
diff changeset
255 %!error det ()
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
256 %!error det (1, 2)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
257 %!error <argument must be a square matrix> det ([1, 2; 3, 4; 5, 6])
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
258 */