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annotate src/DLD-FUNCTIONS/det.cc @ 8920:eb63fbe60fab
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author | John W. Eaton <jwe@octave.org> |
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date | Sat, 07 Mar 2009 10:41:27 -0500 |
parents | a2878ba31a9e |
children | 93f18f166aba |
rev | line source |
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2928 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1996, 1997, 1999, 2000, 2001, 2002, 2003, 2004, 2005, |
8920 | 4 2006, 2007, 2008, 2009 John W. Eaton |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
2928 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
2928 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
8335 | 28 #include "DET.h" |
2928 | 29 |
30 #include "defun-dld.h" | |
31 #include "error.h" | |
32 #include "gripes.h" | |
33 #include "oct-obj.h" | |
34 #include "utils.h" | |
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35 #include "ops.h" |
2928 | 36 |
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37 #include "ov-re-mat.h" |
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38 #include "ov-cx-mat.h" |
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39 #include "ov-flt-re-mat.h" |
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40 #include "ov-flt-cx-mat.h" |
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41 #include "ov-re-diag.h" |
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42 #include "ov-cx-diag.h" |
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43 #include "ov-flt-re-diag.h" |
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44 #include "ov-flt-cx-diag.h" |
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45 #include "ov-perm.h" |
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46 #include "ov-flt-perm.h" |
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47 |
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48 #define MAYBE_CAST(VAR, CLASS) \ |
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49 const CLASS *VAR = arg.type_id () == CLASS::static_type_id () ? \ |
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50 dynamic_cast<const CLASS *> (&arg.get_rep ()) : 0 |
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51 |
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52 DEFUN_DLD (det, args, nargout, |
3548 | 53 "-*- texinfo -*-\n\ |
7650 | 54 @deftypefn {Loadable Function} {[@var{d}, @var{rcond}] =} det (@var{a})\n\ |
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55 Compute the determinant of @var{a} using @sc{Lapack} for full and UMFPACK\n\ |
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56 for sparse matrices. Return an estimate of the reciprocal condition number\n\ |
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57 if requested.\n\ |
3372 | 58 @end deftypefn") |
2928 | 59 { |
60 octave_value_list retval; | |
61 | |
62 int nargin = args.length (); | |
63 | |
64 if (nargin != 1) | |
65 { | |
5823 | 66 print_usage (); |
2928 | 67 return retval; |
68 } | |
69 | |
70 octave_value arg = args(0); | |
71 | |
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72 octave_idx_type nr = arg.rows (); |
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73 octave_idx_type nc = arg.columns (); |
2928 | 74 |
75 if (nr == 0 && nc == 0) | |
76 { | |
4233 | 77 retval(0) = 1.0; |
2928 | 78 return retval; |
79 } | |
80 | |
81 int arg_is_empty = empty_arg ("det", nr, nc); | |
82 if (arg_is_empty < 0) | |
83 return retval; | |
84 if (arg_is_empty > 0) | |
4233 | 85 return octave_value (Matrix (1, 1, 1.0)); |
2928 | 86 |
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87 |
2928 | 88 if (nr != nc) |
89 { | |
90 gripe_square_matrix_required ("det"); | |
91 return retval; | |
92 } | |
93 | |
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94 bool isfloat = arg.is_single_type (); |
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95 |
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96 if (arg.is_diag_matrix ()) |
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97 { |
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98 if (arg.is_complex_type ()) |
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99 { |
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100 if (isfloat) |
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101 { |
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102 retval(0) = arg.float_complex_diag_matrix_value ().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 ().determinant ().value (); |
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109 if (nargout > 1) |
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110 retval(1) = arg.complex_diag_matrix_value ().rcond (); |
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111 } |
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112 } |
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113 else |
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114 { |
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115 if (isfloat) |
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116 { |
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117 retval(0) = arg.float_diag_matrix_value ().determinant ().value (); |
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118 if (nargout > 1) |
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119 retval(1) = arg.float_diag_matrix_value ().rcond (); |
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120 } |
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121 else |
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122 { |
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123 retval(0) = arg.diag_matrix_value ().determinant ().value (); |
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124 if (nargout > 1) |
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125 retval(1) = arg.diag_matrix_value ().rcond (); |
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126 } |
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127 } |
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128 } |
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129 else if (arg.is_perm_matrix ()) |
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130 { |
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131 if (isfloat) |
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132 { |
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133 retval(0) = static_cast<float> (arg.perm_matrix_value ().determinant ()); |
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134 if (nargout > 1) |
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135 retval(1) = 1.0; |
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136 } |
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137 else |
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138 { |
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139 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ()); |
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140 if (nargout > 1) |
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141 retval(1) = 1.0f; |
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142 } |
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143 } |
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144 else if (arg.is_single_type ()) |
2928 | 145 { |
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146 if (arg.is_real_type ()) |
2928 | 147 { |
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148 octave_idx_type info; |
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149 float rcond = 0.0; |
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150 // Always compute rcond, so we can detect numerically |
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151 // singular matrices. |
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152 FloatMatrix m = arg.float_matrix_value (); |
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153 if (! error_state) |
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154 { |
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155 MAYBE_CAST (rep, octave_float_matrix); |
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156 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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157 FloatDET det = m.determinant (mtype, info, rcond); |
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158 retval(1) = rcond; |
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159 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value (); |
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160 if (rep) rep->matrix_type (mtype); |
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161 } |
2928 | 162 } |
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163 else if (arg.is_complex_type ()) |
2928 | 164 { |
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165 octave_idx_type info; |
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166 float rcond = 0.0; |
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167 // Always compute rcond, so we can detect numerically |
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168 // singular matrices. |
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169 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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170 if (! error_state) |
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171 { |
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172 MAYBE_CAST (rep, octave_float_complex_matrix); |
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173 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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174 FloatComplexDET det = m.determinant (mtype, info, rcond); |
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175 retval(1) = rcond; |
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176 retval(0) = info == -1 ? FloatComplex (0.0) : det.value (); |
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177 if (rep) rep->matrix_type (mtype); |
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178 } |
2928 | 179 } |
180 } | |
181 else | |
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182 { |
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183 if (arg.is_real_type ()) |
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184 { |
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185 octave_idx_type info; |
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186 double rcond = 0.0; |
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187 // Always compute rcond, so we can detect numerically |
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188 // singular matrices. |
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189 if (arg.is_sparse_type ()) |
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190 { |
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191 SparseMatrix m = arg.sparse_matrix_value (); |
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192 if (! error_state) |
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193 { |
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194 DET det = m.determinant (info, rcond); |
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195 retval(1) = rcond; |
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196 retval(0) = info == -1 ? 0.0 : det.value (); |
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197 } |
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198 } |
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199 else |
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200 { |
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201 Matrix m = arg.matrix_value (); |
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202 if (! error_state) |
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203 { |
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204 MAYBE_CAST (rep, octave_matrix); |
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205 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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206 DET det = m.determinant (mtype, info, rcond); |
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207 retval(1) = rcond; |
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208 retval(0) = info == -1 ? 0.0 : det.value (); |
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209 if (rep) rep->matrix_type (mtype); |
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210 } |
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211 } |
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212 } |
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213 else if (arg.is_complex_type ()) |
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214 { |
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215 octave_idx_type info; |
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216 double rcond = 0.0; |
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217 // Always compute rcond, so we can detect numerically |
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218 // singular matrices. |
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219 if (arg.is_sparse_type ()) |
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220 { |
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221 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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222 if (! error_state) |
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223 { |
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224 ComplexDET det = m.determinant (info, rcond); |
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225 retval(1) = rcond; |
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226 retval(0) = info == -1 ? Complex (0.0) : det.value (); |
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227 } |
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228 } |
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229 else |
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230 { |
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231 ComplexMatrix m = arg.complex_matrix_value (); |
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232 if (! error_state) |
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233 { |
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234 MAYBE_CAST (rep, octave_complex_matrix); |
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235 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType (); |
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236 ComplexDET det = m.determinant (mtype, info, rcond); |
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237 retval(1) = rcond; |
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238 retval(0) = info == -1 ? Complex (0.0) : det.value (); |
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239 if (rep) rep->matrix_type (mtype); |
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240 } |
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241 } |
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242 } |
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243 else |
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244 gripe_wrong_type_arg ("det", arg); |
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245 } |
2928 | 246 return retval; |
247 } | |
248 | |
249 /* | |
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250 |
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251 %!assert(det ([1, 2; 3, 4]), -2, 10 * eps); |
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252 %!assert(det (single([1, 2; 3, 4])), single(-2), 10 * eps ('single')); |
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253 %!error <Invalid call to det.*> det (); |
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254 %!error <Invalid call to det.*> det (1, 2); |
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255 %!error det ([1, 2; 3, 4; 5, 6]); |
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256 |
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257 */ |
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258 |
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259 /* |
2928 | 260 ;;; Local Variables: *** |
261 ;;; mode: C++ *** | |
262 ;;; End: *** | |
263 */ |