Mercurial > octave
annotate libinterp/corefcn/det.cc @ 22323:bac0d6f07a3e
maint: Update copyright notices for 2016.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 17 Aug 2016 01:05:19 -0400 |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2016 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
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23 #if defined (HAVE_CONFIG_H) |
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24 # include "config.h" |
2928 | 25 #endif |
26 | |
8335 | 27 #include "DET.h" |
2928 | 28 |
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29 #include "defun.h" |
2928 | 30 #include "error.h" |
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31 #include "errwarn.h" |
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32 #include "ovl.h" |
2928 | 33 #include "utils.h" |
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34 #include "ops.h" |
2928 | 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 ()) \ |
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49 : 0) |
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50 |
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51 DEFUN (det, args, nargout, |
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52 doc: /* -*- texinfo -*- |
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53 @deftypefn {} {} det (@var{A}) |
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54 @deftypefnx {} {[@var{d}, @var{rcond}] =} det (@var{A}) |
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55 Compute the determinant of @var{A}. |
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56 |
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57 Return an estimate of the reciprocal condition number if requested. |
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58 |
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59 Programming Notes: Routines from @sc{lapack} are used for full matrices and |
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60 code from @sc{umfpack} is used for sparse matrices. |
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61 |
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62 The determinant should not be used to check a matrix for singularity. |
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63 For that, use any of the condition number functions: @code{cond}, |
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64 @code{condest}, @code{rcond}. |
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65 @seealso{cond, condest, rcond} |
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66 @end deftypefn */) |
2928 | 67 { |
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68 if (args.length () != 1) |
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69 print_usage (); |
2928 | 70 |
71 octave_value arg = args(0); | |
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72 |
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73 octave_idx_type nr = arg.rows (); |
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74 octave_idx_type nc = arg.columns (); |
2928 | 75 |
76 if (nr == 0 && nc == 0) | |
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77 return ovl (1.0); |
2928 | 78 |
79 int arg_is_empty = empty_arg ("det", nr, nc); | |
80 if (arg_is_empty < 0) | |
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81 return ovl (); |
2928 | 82 if (arg_is_empty > 0) |
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83 return ovl (1.0); |
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84 |
2928 | 85 if (nr != nc) |
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86 err_square_matrix_required ("det", "A"); |
2928 | 87 |
20892 | 88 octave_value_list retval (2); |
89 | |
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90 bool isfloat = arg.is_single_type (); |
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91 |
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92 if (arg.is_diag_matrix ()) |
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93 { |
20892 | 94 if (nargout <= 1) |
95 retval.resize (1); | |
96 | |
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97 if (arg.is_complex_type ()) |
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98 { |
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99 if (isfloat) |
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100 { |
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101 retval(0) = arg.float_complex_diag_matrix_value () |
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102 .determinant ().value (); |
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103 if (nargout > 1) |
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104 retval(1) = arg.float_complex_diag_matrix_value ().rcond (); |
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105 } |
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106 else |
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107 { |
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108 retval(0) = arg.complex_diag_matrix_value () |
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109 .determinant ().value (); |
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110 if (nargout > 1) |
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111 retval(1) = arg.complex_diag_matrix_value ().rcond (); |
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112 } |
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113 } |
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114 else |
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115 { |
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116 if (isfloat) |
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117 { |
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118 retval(0) = arg.float_diag_matrix_value () |
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119 .determinant ().value (); |
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120 if (nargout > 1) |
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121 retval(1) = arg.float_diag_matrix_value ().rcond (); |
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122 } |
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123 else |
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124 { |
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125 retval(0) = arg.diag_matrix_value ().determinant ().value (); |
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126 if (nargout > 1) |
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127 retval(1) = arg.diag_matrix_value ().rcond (); |
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128 } |
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129 } |
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130 } |
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131 else if (arg.is_perm_matrix ()) |
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132 { |
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134 retval.resize (1); | |
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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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 singular matrices. |
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147 FloatMatrix m = arg.float_matrix_value (); |
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148 |
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149 MAYBE_CAST (rep, octave_float_matrix); |
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150 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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151 FloatDET det = m.determinant (mtype, info, rcond); |
20892 | 152 retval(0) = info == -1 ? 0.0f : det.value (); |
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153 retval(1) = rcond; |
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154 if (rep) |
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155 rep->matrix_type (mtype); |
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156 } |
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157 else if (arg.is_complex_type ()) |
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158 { |
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159 octave_idx_type info; |
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160 float rcond = 0.0; |
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161 // Always compute rcond, so we can detect singular matrices. |
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162 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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163 |
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164 MAYBE_CAST (rep, octave_float_complex_matrix); |
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165 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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166 FloatComplexDET det = m.determinant (mtype, info, rcond); |
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168 retval(1) = rcond; |
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169 if (rep) |
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170 rep->matrix_type (mtype); |
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171 } |
2928 | 172 } |
173 else | |
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174 { |
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175 if (arg.is_real_type ()) |
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176 { |
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177 octave_idx_type info; |
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178 double rcond = 0.0; |
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179 // Always compute rcond, so we can detect singular matrices. |
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180 if (arg.is_sparse_type ()) |
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181 { |
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182 SparseMatrix m = arg.sparse_matrix_value (); |
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183 |
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184 DET det = m.determinant (info, rcond); |
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186 retval(1) = rcond; |
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187 } |
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188 else |
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189 { |
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190 Matrix m = arg.matrix_value (); |
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191 |
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192 MAYBE_CAST (rep, octave_matrix); |
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193 MatrixType mtype = rep ? rep -> matrix_type () |
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194 : MatrixType (); |
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195 DET det = m.determinant (mtype, info, rcond); |
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197 retval(1) = rcond; |
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198 if (rep) |
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199 rep->matrix_type (mtype); |
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200 } |
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201 } |
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202 else if (arg.is_complex_type ()) |
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203 { |
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204 octave_idx_type info; |
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205 double rcond = 0.0; |
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206 // Always compute rcond, so we can detect singular matrices. |
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207 if (arg.is_sparse_type ()) |
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208 { |
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209 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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210 |
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211 ComplexDET det = m.determinant (info, rcond); |
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213 retval(1) = rcond; |
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214 } |
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215 else |
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216 { |
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217 ComplexMatrix m = arg.complex_matrix_value (); |
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218 |
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219 MAYBE_CAST (rep, octave_complex_matrix); |
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220 MatrixType mtype = rep ? rep -> matrix_type () |
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221 : MatrixType (); |
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222 ComplexDET det = m.determinant (mtype, info, rcond); |
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224 retval(1) = rcond; |
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225 if (rep) |
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226 rep->matrix_type (mtype); |
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227 } |
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228 } |
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229 else |
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230 err_wrong_type_arg ("det", arg); |
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231 } |
20892 | 232 |
2928 | 233 return retval; |
234 } | |
235 | |
236 /* | |
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237 %!assert (det ([1, 2; 3, 4]), -2, 10*eps) |
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238 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single")) |
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239 %!error det () |
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240 %!error det (1, 2) |
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241 %!error <must be a square matrix> det ([1, 2; 3, 4; 5, 6]) |
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242 */ |