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annotate src/DLD-FUNCTIONS/det.cc @ 8335:64cf956a109c

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templatize & fix DET
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 19 Nov 2008 11:23:07 +0100
parents e69bca367ed7
children e02242c54c49
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
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4 2006, 2007 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
7016
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include "DET.h"
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29
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30 #include "defun-dld.h"
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31 #include "error.h"
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32 #include "gripes.h"
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33 #include "oct-obj.h"
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34 #include "utils.h"
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35
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36 DEFUN_DLD (det, args, ,
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37 "-*- texinfo -*-\n\
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38 @deftypefn {Loadable Function} {[@var{d}, @var{rcond}] =} det (@var{a})\n\
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39 Compute the determinant of @var{a} using @sc{Lapack} for full and UMFPACK\n\
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40 for sparse matrices. Return an estimate of the reciprocal condition number\n\
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41 if requested.\n\
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42 @end deftypefn")
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43 {
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44 octave_value_list retval;
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45
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46 int nargin = args.length ();
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47
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48 if (nargin != 1)
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49 {
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50 print_usage ();
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51 return retval;
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52 }
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53
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54 octave_value arg = args(0);
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55
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56 octave_idx_type nr = arg.rows ();
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57 octave_idx_type nc = arg.columns ();
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58
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59 if (nr == 0 && nc == 0)
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60 {
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61 retval(0) = 1.0;
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62 return retval;
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63 }
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64
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65 int arg_is_empty = empty_arg ("det", nr, nc);
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66 if (arg_is_empty < 0)
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67 return retval;
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68 if (arg_is_empty > 0)
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69 return octave_value (Matrix (1, 1, 1.0));
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70
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71 if (nr != nc)
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72 {
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73 gripe_square_matrix_required ("det");
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74 return retval;
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75 }
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76
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77
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78 if (arg.is_single_type ())
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79 {
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80 if (arg.is_real_type ())
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81 {
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82 octave_idx_type info;
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83 float rcond = 0.0;
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84 // Always compute rcond, so we can detect numerically
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85 // singular matrices.
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86 FloatMatrix m = arg.float_matrix_value ();
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87 if (! error_state)
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88 {
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89 FloatDET det = m.determinant (info, rcond);
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90 retval(1) = rcond;
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91 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value ();
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92 }
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93 }
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94 else if (arg.is_complex_type ())
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95 {
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96 octave_idx_type info;
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97 float rcond = 0.0;
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98 // Always compute rcond, so we can detect numerically
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99 // singular matrices.
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100 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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101 if (! error_state)
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102 {
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103 FloatComplexDET det = m.determinant (info, rcond);
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104 retval(1) = rcond;
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105 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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106 }
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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 (arg.is_real_type ())
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112 {
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113 octave_idx_type info;
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114 double rcond = 0.0;
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115 // Always compute rcond, so we can detect numerically
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116 // singular matrices.
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117 if (arg.is_sparse_type ())
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118 {
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119 SparseMatrix m = arg.sparse_matrix_value ();
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120 if (! error_state)
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121 {
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122 DET det = m.determinant (info, rcond);
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123 retval(1) = rcond;
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124 retval(0) = info == -1 ? 0.0 : det.value ();
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125 }
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126 }
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127 else
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128 {
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129 Matrix m = arg.matrix_value ();
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130 if (! error_state)
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131 {
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132 DET det = m.determinant (info, rcond);
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133 retval(1) = rcond;
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134 retval(0) = info == -1 ? 0.0 : det.value ();
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135 }
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136 }
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137 }
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138 else if (arg.is_complex_type ())
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139 {
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140 octave_idx_type info;
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141 double rcond = 0.0;
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142 // Always compute rcond, so we can detect numerically
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143 // singular matrices.
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144 if (arg.is_sparse_type ())
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145 {
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146 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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147 if (! error_state)
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148 {
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149 ComplexDET det = m.determinant (info, rcond);
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150 retval(1) = rcond;
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151 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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152 }
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153 }
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154 else
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155 {
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156 ComplexMatrix m = arg.complex_matrix_value ();
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157 if (! error_state)
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158 {
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159 ComplexDET det = m.determinant (info, rcond);
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160 retval(1) = rcond;
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161 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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162 }
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163 }
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164 }
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165 else
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166 gripe_wrong_type_arg ("det", arg);
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167 }
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168 return retval;
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169 }
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170
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171 /*
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172
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173 %!assert(det ([1, 2; 3, 4]), -2, 10 * eps);
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174 %!assert(det (single([1, 2; 3, 4])), single(-2), 10 * eps ('single'));
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175 %!error <Invalid call to det.*> det ();
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176 %!error <Invalid call to det.*> det (1, 2);
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177 %!error det ([1, 2; 3, 4; 5, 6]);
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178
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179 */
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180
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181 /*
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182 ;;; Local Variables: ***
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183 ;;; mode: C++ ***
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184 ;;; End: ***
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185 */