Mercurial > octave
annotate libinterp/corefcn/det.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 32c3a5805893 |
children | 32d2b6604a9f |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1996-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
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36 #include "ops.h" |
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38 #include "ov-re-mat.h" |
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39 #include "ov-cx-mat.h" |
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40 #include "ov-flt-re-mat.h" |
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41 #include "ov-flt-cx-mat.h" |
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42 #include "ov-re-diag.h" |
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43 #include "ov-cx-diag.h" |
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44 #include "ov-flt-re-diag.h" |
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45 #include "ov-flt-cx-diag.h" |
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46 #include "ov-perm.h" |
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47 |
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48 OCTAVE_NAMESPACE_BEGIN |
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49 |
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50 #define MAYBE_CAST(VAR, CLASS) \ |
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51 const CLASS *VAR = (arg.type_id () == CLASS::static_type_id () \ |
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52 ? dynamic_cast<const CLASS *> (&arg.get_rep ()) \ |
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53 : nullptr) |
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54 |
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55 DEFUN (det, args, nargout, |
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56 doc: /* -*- texinfo -*- |
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57 @deftypefn {} {} det (@var{A}) |
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58 @deftypefnx {} {[@var{d}, @var{rcond}] =} det (@var{A}) |
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59 Compute the determinant of @var{A}. |
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60 |
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61 Return an estimate of the reciprocal condition number if requested. |
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62 |
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63 Programming Notes: Routines from @sc{lapack} are used for full matrices and |
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64 code from @sc{umfpack} is used for sparse matrices. |
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65 |
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66 The determinant should not be used to check a matrix for singularity. |
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67 For that, use any of the condition number functions: @code{cond}, |
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68 @code{condest}, @code{rcond}. |
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69 @seealso{cond, condest, rcond} |
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70 @end deftypefn */) |
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72 if (args.length () != 1) |
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73 print_usage (); |
2928 | 74 |
75 octave_value arg = args(0); | |
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76 |
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77 if (arg.isempty ()) |
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78 return ovl (1.0); |
2928 | 79 |
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80 if (arg.rows () != arg.columns ()) |
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81 err_square_matrix_required ("det", "A"); |
2928 | 82 |
20892 | 83 octave_value_list retval (2); |
84 | |
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85 bool isfloat = arg.is_single_type (); |
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86 |
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87 if (arg.is_diag_matrix ()) |
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88 { |
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90 retval.resize (1); | |
91 | |
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92 if (arg.iscomplex ()) |
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93 { |
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94 if (isfloat) |
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95 { |
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96 retval(0) = arg.float_complex_diag_matrix_value () |
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97 .determinant ().value (); |
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98 if (nargout > 1) |
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99 retval(1) = arg.float_complex_diag_matrix_value ().rcond (); |
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100 } |
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101 else |
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102 { |
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103 retval(0) = arg.complex_diag_matrix_value () |
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104 .determinant ().value (); |
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105 if (nargout > 1) |
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106 retval(1) = arg.complex_diag_matrix_value ().rcond (); |
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107 } |
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108 } |
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109 else |
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110 { |
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111 if (isfloat) |
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112 { |
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113 retval(0) = arg.float_diag_matrix_value () |
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114 .determinant ().value (); |
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115 if (nargout > 1) |
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116 retval(1) = arg.float_diag_matrix_value ().rcond (); |
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117 } |
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118 else |
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119 { |
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120 retval(0) = arg.diag_matrix_value ().determinant ().value (); |
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121 if (nargout > 1) |
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122 retval(1) = arg.diag_matrix_value ().rcond (); |
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123 } |
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124 } |
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125 } |
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126 else if (arg.is_perm_matrix ()) |
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127 { |
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129 retval.resize (1); | |
130 | |
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131 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ()); |
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132 if (nargout > 1) |
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133 retval(1) = 1.0; |
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134 } |
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135 else if (arg.is_single_type ()) |
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137 if (arg.isreal ()) |
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138 { |
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139 octave_idx_type info; |
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140 float rcond = 0.0; |
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141 // Always compute rcond, so we can detect singular matrices. |
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142 FloatMatrix m = arg.float_matrix_value (); |
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143 |
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144 MAYBE_CAST (rep, octave_float_matrix); |
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145 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ()); |
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146 FloatDET det = m.determinant (mtype, info, rcond); |
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147 retval(0) = (info == -1 ? 0.0f : det.value ()); |
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148 retval(1) = rcond; |
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149 if (rep) |
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150 rep->matrix_type (mtype); |
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151 } |
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152 else if (arg.iscomplex ()) |
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153 { |
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154 octave_idx_type info; |
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155 float rcond = 0.0; |
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156 // Always compute rcond, so we can detect singular matrices. |
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157 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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158 |
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159 MAYBE_CAST (rep, octave_float_complex_matrix); |
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160 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ()); |
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161 FloatComplexDET det = m.determinant (mtype, info, rcond); |
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162 retval(0) = (info == -1 ? FloatComplex (0.0) : det.value ()); |
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163 retval(1) = rcond; |
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164 if (rep) |
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165 rep->matrix_type (mtype); |
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166 } |
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168 else | |
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169 { |
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170 if (arg.isreal ()) |
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171 { |
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172 octave_idx_type info; |
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173 double rcond = 0.0; |
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174 // Always compute rcond, so we can detect singular matrices. |
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175 if (arg.issparse ()) |
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176 { |
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177 SparseMatrix m = arg.sparse_matrix_value (); |
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178 |
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179 DET det = m.determinant (info, rcond); |
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180 retval(0) = (info == -1 ? 0.0 : det.value ()); |
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181 retval(1) = rcond; |
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182 } |
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183 else |
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184 { |
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185 Matrix m = arg.matrix_value (); |
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186 |
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187 MAYBE_CAST (rep, octave_matrix); |
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188 MatrixType mtype = (rep ? rep -> matrix_type () |
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189 : MatrixType ()); |
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190 DET det = m.determinant (mtype, info, rcond); |
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191 retval(0) = (info == -1 ? 0.0 : det.value ()); |
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192 retval(1) = rcond; |
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193 if (rep) |
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194 rep->matrix_type (mtype); |
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195 } |
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196 } |
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197 else if (arg.iscomplex ()) |
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198 { |
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199 octave_idx_type info; |
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200 double rcond = 0.0; |
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201 // Always compute rcond, so we can detect singular matrices. |
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202 if (arg.issparse ()) |
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203 { |
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204 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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205 |
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206 ComplexDET det = m.determinant (info, rcond); |
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207 retval(0) = (info == -1 ? Complex (0.0) : det.value ()); |
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208 retval(1) = rcond; |
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209 } |
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210 else |
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211 { |
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212 ComplexMatrix m = arg.complex_matrix_value (); |
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213 |
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214 MAYBE_CAST (rep, octave_complex_matrix); |
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215 MatrixType mtype = (rep ? rep -> matrix_type () |
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216 : MatrixType ()); |
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217 ComplexDET det = m.determinant (mtype, info, rcond); |
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218 retval(0) = (info == -1 ? Complex (0.0) : det.value ()); |
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219 retval(1) = rcond; |
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220 if (rep) |
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221 rep->matrix_type (mtype); |
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222 } |
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223 } |
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224 else |
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225 err_wrong_type_arg ("det", arg); |
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226 } |
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229 } | |
230 | |
231 /* | |
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232 %!assert (det ([1, 2; 3, 4]), -2, 10*eps) |
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233 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single")) |
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234 %!assert (det (eye (2000)), 1) |
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235 %!error det () |
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236 %!error det (1, 2) |
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237 %!error <must be a square matrix> det ([1, 2; 3, 4; 5, 6]) |
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238 */ |
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239 |
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240 OCTAVE_NAMESPACE_END |