annotate libinterp/corefcn/det.cc @ 20819:f428cbe7576f

eliminate unnecessary uses of nargin * __dsearchn__.cc, betainc.cc, bsxfun.cc, data.cc, debug.cc, det.cc, dot.cc, error.cc, file-io.cc, givens.cc, graphics.cc, hess.cc, hex2num.cc, input.cc, inv.cc, mgorth.cc, ordschur.cc, pr-output.cc, profiler.cc, rcond.cc, regexp.cc, sqrtm.cc, sub2ind.cc, sylvester.cc, syscalls.cc, sysdep.cc, tsearch.cc, urlwrite.cc, utils.cc, variables.cc: Don't use nargin variable unless it is used more than once.
author John W. Eaton <jwe@octave.org>
date Mon, 07 Dec 2015 13:54:01 -0500
parents 8bb38ba1bad6
children 1142cf6abc0d
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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 "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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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 Programming Notes: Routines from @sc{lapack} are used for full matrices and\n\
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59 code from @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 if (args.length () != 1)
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70 print_usage ();
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71
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72 octave_value arg = args(0);
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73
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74 octave_idx_type nr = arg.rows ();
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75 octave_idx_type nc = arg.columns ();
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76
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77 if (nr == 0 && nc == 0)
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78 {
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79 retval(0) = 1.0;
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80 return retval;
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81 }
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82
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83 int arg_is_empty = empty_arg ("det", nr, nc);
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84 if (arg_is_empty < 0)
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85 return retval;
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86 if (arg_is_empty > 0)
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87 return octave_value (Matrix (1, 1, 1.0));
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88
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89
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90 if (nr != nc)
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91 {
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92 gripe_square_matrix_required ("det");
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93 return retval;
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94 }
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95
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96 bool isfloat = arg.is_single_type ();
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97
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98 if (arg.is_diag_matrix ())
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99 {
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100 if (arg.is_complex_type ())
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101 {
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102 if (isfloat)
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103 {
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104 retval(0) = arg.float_complex_diag_matrix_value ()
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105 .determinant ().value ();
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106 if (nargout > 1)
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107 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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108 }
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109 else
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110 {
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111 retval(0) = arg.complex_diag_matrix_value ()
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112 .determinant ().value ();
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113 if (nargout > 1)
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114 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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115 }
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116 }
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117 else
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118 {
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119 if (isfloat)
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120 {
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121 retval(0) = arg.float_diag_matrix_value ()
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122 .determinant ().value ();
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123 if (nargout > 1)
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124 retval(1) = arg.float_diag_matrix_value ().rcond ();
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125 }
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126 else
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127 {
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128 retval(0) = arg.diag_matrix_value ().determinant ().value ();
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129 if (nargout > 1)
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130 retval(1) = arg.diag_matrix_value ().rcond ();
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131 }
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132 }
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133 }
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134 else if (arg.is_perm_matrix ())
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135 {
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136 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ());
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137 if (nargout > 1)
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138 retval(1) = 1.0;
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139 }
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140 else if (arg.is_single_type ())
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141 {
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142 if (arg.is_real_type ())
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143 {
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144 octave_idx_type info;
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145 float rcond = 0.0;
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146 // Always compute rcond, so we can detect numerically
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147 // singular matrices.
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148 FloatMatrix m = arg.float_matrix_value ();
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149
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150 MAYBE_CAST (rep, octave_float_matrix);
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151 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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152 FloatDET det = m.determinant (mtype, info, rcond);
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153 retval(1) = rcond;
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154 retval(0) = info == -1 ? 0.0f : det.value ();
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155 if (rep)
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156 rep->matrix_type (mtype);
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157 }
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158 else if (arg.is_complex_type ())
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159 {
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160 octave_idx_type info;
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161 float rcond = 0.0;
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162 // Always compute rcond, so we can detect numerically
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163 // singular matrices.
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164 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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165
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166 MAYBE_CAST (rep, octave_float_complex_matrix);
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167 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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168 FloatComplexDET det = m.determinant (mtype, info, rcond);
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169 retval(1) = rcond;
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170 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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171 if (rep)
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172 rep->matrix_type (mtype);
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173 }
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174 }
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175 else
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176 {
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177 if (arg.is_real_type ())
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178 {
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179 octave_idx_type info;
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180 double rcond = 0.0;
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181 // Always compute rcond, so we can detect numerically
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182 // singular matrices.
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183 if (arg.is_sparse_type ())
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184 {
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185 SparseMatrix m = arg.sparse_matrix_value ();
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186
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187 DET det = m.determinant (info, rcond);
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188 retval(1) = rcond;
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189 retval(0) = info == -1 ? 0.0 : det.value ();
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190 }
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191 else
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192 {
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193 Matrix m = arg.matrix_value ();
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194
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195 MAYBE_CAST (rep, octave_matrix);
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196 MatrixType mtype = rep ? rep -> matrix_type ()
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197 : MatrixType ();
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198 DET det = m.determinant (mtype, info, rcond);
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199 retval(1) = rcond;
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200 retval(0) = info == -1 ? 0.0 : det.value ();
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201 if (rep)
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202 rep->matrix_type (mtype);
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203 }
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204 }
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205 else if (arg.is_complex_type ())
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206 {
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207 octave_idx_type info;
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208 double rcond = 0.0;
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209 // Always compute rcond, so we can detect numerically
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210 // singular matrices.
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211 if (arg.is_sparse_type ())
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212 {
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213 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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214
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215 ComplexDET det = m.determinant (info, rcond);
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216 retval(1) = rcond;
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217 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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218 }
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219 else
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220 {
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221 ComplexMatrix m = arg.complex_matrix_value ();
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222
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223 MAYBE_CAST (rep, octave_complex_matrix);
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224 MatrixType mtype = rep ? rep -> matrix_type ()
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225 : MatrixType ();
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226 ComplexDET det = m.determinant (mtype, 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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229 if (rep)
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230 rep->matrix_type (mtype);
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231 }
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232 }
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233 else
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234 gripe_wrong_type_arg ("det", arg);
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235 }
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236 return retval;
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237 }
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238
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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239 /*
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240 %!assert (det ([1, 2; 3, 4]), -2, 10*eps)
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241 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single"))
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242 %!error det ()
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243 %!error det (1, 2)
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244 %!error <argument must be a square matrix> det ([1, 2; 3, 4; 5, 6])
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245 */