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author John W. Eaton <jwe@octave.org>
date Fri, 14 Jan 2011 05:47:45 -0500
parents a8ce6bdecce5
children 01f703952eff
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1 /*
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2
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3 Copyright (C) 1996-2011 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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29 #include "defun-dld.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_DLD (det, args, nargout,
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51 "-*- texinfo -*-\n\
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52 @deftypefn {Loadable Function} {} det (@var{a})\n\
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53 @deftypefnx {Loadable 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 Routines from @sc{lapack} are used for full matrices and code from\n\
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57 @sc{umfpack} is used for sparse matrices.\n\
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58 \n\
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59 Return an estimate of the reciprocal condition number if requested.\n\
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60 @end deftypefn")
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61 {
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62 octave_value_list retval;
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63
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64 int nargin = args.length ();
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65
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66 if (nargin != 1)
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67 {
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68 print_usage ();
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69 return retval;
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70 }
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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 ().determinant ().value ();
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105 if (nargout > 1)
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106 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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107 }
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108 else
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109 {
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110 retval(0) = arg.complex_diag_matrix_value ().determinant ().value ();
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111 if (nargout > 1)
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112 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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113 }
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114 }
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115 else
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116 {
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117 if (isfloat)
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118 {
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119 retval(0) = arg.float_diag_matrix_value ().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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133 retval(0) = static_cast<double> (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 if (arg.is_single_type ())
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138 {
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139 if (arg.is_real_type ())
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140 {
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141 octave_idx_type info;
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142 float rcond = 0.0;
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143 // Always compute rcond, so we can detect numerically
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144 // singular matrices.
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145 FloatMatrix m = arg.float_matrix_value ();
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diff changeset
146 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
147 {
8337
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diff changeset
148 MAYBE_CAST (rep, octave_float_matrix);
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diff changeset
149 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
150 FloatDET det = m.determinant (mtype, info, rcond);
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diff changeset
151 retval(1) = rcond;
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diff changeset
152 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value ();
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153 if (rep) rep->matrix_type (mtype);
10154
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diff changeset
154 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
155 }
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156 else if (arg.is_complex_type ())
10154
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diff changeset
157 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
158 octave_idx_type info;
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159 float rcond = 0.0;
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160 // Always compute rcond, so we can detect numerically
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161 // singular matrices.
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diff changeset
162 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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163 if (! error_state)
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diff changeset
164 {
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165 MAYBE_CAST (rep, octave_float_complex_matrix);
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diff changeset
166 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
167 FloatComplexDET det = m.determinant (mtype, info, rcond);
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168 retval(1) = rcond;
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169 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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diff changeset
170 if (rep) rep->matrix_type (mtype);
10154
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171 }
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172 }
2928
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173 }
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174 else
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175 {
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diff changeset
176 if (arg.is_real_type ())
10154
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177 {
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178 octave_idx_type info;
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179 double rcond = 0.0;
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180 // Always compute rcond, so we can detect numerically
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181 // singular matrices.
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182 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
183 {
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184 SparseMatrix m = arg.sparse_matrix_value ();
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diff changeset
185 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
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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diff changeset
190 }
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diff changeset
191 }
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diff changeset
192 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
193 {
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diff changeset
194 Matrix m = arg.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
195 if (! error_state)
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diff changeset
196 {
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197 MAYBE_CAST (rep, octave_matrix);
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diff changeset
198 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
199 DET det = m.determinant (mtype, info, rcond);
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200 retval(1) = rcond;
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diff changeset
201 retval(0) = info == -1 ? 0.0 : det.value ();
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diff changeset
202 if (rep) rep->matrix_type (mtype);
10154
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diff changeset
203 }
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diff changeset
204 }
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diff changeset
205 }
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82be108cc558 First attempt at single precision tyeps
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diff changeset
206 else if (arg.is_complex_type ())
10154
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diff changeset
207 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
208 octave_idx_type info;
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diff changeset
209 double rcond = 0.0;
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210 // Always compute rcond, so we can detect numerically
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diff changeset
211 // singular matrices.
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
212 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
213 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
214 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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diff changeset
215 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
216 {
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diff changeset
217 ComplexDET det = m.determinant (info, rcond);
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diff changeset
218 retval(1) = rcond;
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diff changeset
219 retval(0) = info == -1 ? Complex (0.0) : det.value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
220 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
221 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
222 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
223 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
224 ComplexMatrix m = arg.complex_matrix_value ();
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diff changeset
225 if (! error_state)
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diff changeset
226 {
8337
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diff changeset
227 MAYBE_CAST (rep, octave_complex_matrix);
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diff changeset
228 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
10154
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diff changeset
229 ComplexDET det = m.determinant (mtype, info, rcond);
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diff changeset
230 retval(1) = rcond;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
231 retval(0) = info == -1 ? Complex (0.0) : det.value ();
8337
e02242c54c49 reuse matrix type detected in det
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parents: 8335
diff changeset
232 if (rep) rep->matrix_type (mtype);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
233 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9209
diff changeset
234 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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diff changeset
235 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
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diff changeset
236 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
237 gripe_wrong_type_arg ("det", arg);
7789
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diff changeset
238 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
239 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
240 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
241
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
242 /*
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
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diff changeset
243
87865ed7405f Second set of single precision test code and fix of resulting bugs
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parents: 7789
diff changeset
244 %!assert(det ([1, 2; 3, 4]), -2, 10 * eps);
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diff changeset
245 %!assert(det (single([1, 2; 3, 4])), single(-2), 10 * eps ('single'));
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diff changeset
246 %!error <Invalid call to det.*> det ();
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diff changeset
247 %!error <Invalid call to det.*> det (1, 2);
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diff changeset
248 %!error det ([1, 2; 3, 4; 5, 6]);
87865ed7405f Second set of single precision test code and fix of resulting bugs
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diff changeset
249
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
250 */