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annotate src/DLD-FUNCTIONS/det.cc @ 8337:e02242c54c49

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reuse matrix type detected in det
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 19 Nov 2008 16:55:47 +0100
parents 64cf956a109c
children c3f7e2549abb
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 #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
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41 #define MAYBE_CAST(VAR, CLASS) \
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42 const CLASS *VAR = arg.type_id () == CLASS::static_type_id () ? \
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43 dynamic_cast<const CLASS *> (&arg.get_rep ()) : 0
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44
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45 DEFUN_DLD (det, args, ,
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46 "-*- texinfo -*-\n\
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47 @deftypefn {Loadable Function} {[@var{d}, @var{rcond}] =} det (@var{a})\n\
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48 Compute the determinant of @var{a} using @sc{Lapack} for full and UMFPACK\n\
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49 for sparse matrices. Return an estimate of the reciprocal condition number\n\
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50 if requested.\n\
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51 @end deftypefn")
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52 {
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53 octave_value_list retval;
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54
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55 int nargin = args.length ();
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56
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57 if (nargin != 1)
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58 {
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59 print_usage ();
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60 return retval;
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61 }
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62
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63 octave_value arg = args(0);
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64
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65 octave_idx_type nr = arg.rows ();
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66 octave_idx_type nc = arg.columns ();
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67
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68 if (nr == 0 && nc == 0)
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69 {
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70 retval(0) = 1.0;
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71 return retval;
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72 }
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73
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74 int arg_is_empty = empty_arg ("det", nr, nc);
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75 if (arg_is_empty < 0)
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76 return retval;
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77 if (arg_is_empty > 0)
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78 return octave_value (Matrix (1, 1, 1.0));
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79
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80
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81 if (nr != nc)
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82 {
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83 gripe_square_matrix_required ("det");
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84 return retval;
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85 }
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86
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87
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88 if (arg.is_single_type ())
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89 {
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90 if (arg.is_real_type ())
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91 {
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92 octave_idx_type info;
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93 float rcond = 0.0;
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94 // Always compute rcond, so we can detect numerically
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95 // singular matrices.
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96 FloatMatrix m = arg.float_matrix_value ();
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97 if (! error_state)
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98 {
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99 MAYBE_CAST (rep, octave_float_matrix);
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100 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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101 FloatDET det = m.determinant (mtype, info, rcond);
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102 retval(1) = rcond;
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103 retval(0) = info == -1 ? static_cast<float>(0.0) : det.value ();
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104 if (rep) rep->matrix_type (mtype);
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105 }
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106 }
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107 else if (arg.is_complex_type ())
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108 {
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109 octave_idx_type info;
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110 float rcond = 0.0;
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111 // Always compute rcond, so we can detect numerically
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112 // singular matrices.
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113 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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114 if (! error_state)
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115 {
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116 MAYBE_CAST (rep, octave_float_complex_matrix);
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117 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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118 FloatComplexDET det = m.determinant (mtype, info, rcond);
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119 retval(1) = rcond;
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120 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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121 if (rep) rep->matrix_type (mtype);
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122 }
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123 }
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124 }
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125 else
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126 {
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127 if (arg.is_real_type ())
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128 {
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129 octave_idx_type info;
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130 double rcond = 0.0;
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131 // Always compute rcond, so we can detect numerically
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132 // singular matrices.
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133 if (arg.is_sparse_type ())
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134 {
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135 SparseMatrix m = arg.sparse_matrix_value ();
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136 if (! error_state)
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137 {
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138 DET det = m.determinant (info, rcond);
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139 retval(1) = rcond;
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140 retval(0) = info == -1 ? 0.0 : det.value ();
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141 }
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142 }
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143 else
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144 {
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145 Matrix m = arg.matrix_value ();
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146 if (! error_state)
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147 {
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148 MAYBE_CAST (rep, octave_matrix);
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149 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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150 DET det = m.determinant (mtype, info, rcond);
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151 retval(1) = rcond;
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152 retval(0) = info == -1 ? 0.0 : det.value ();
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153 if (rep) rep->matrix_type (mtype);
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154 }
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155 }
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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 double rcond = 0.0;
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161 // Always compute rcond, so we can detect numerically
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162 // singular matrices.
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163 if (arg.is_sparse_type ())
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164 {
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165 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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166 if (! error_state)
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167 {
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168 ComplexDET det = m.determinant (info, rcond);
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169 retval(1) = rcond;
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170 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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171 }
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172 }
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173 else
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174 {
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175 ComplexMatrix m = arg.complex_matrix_value ();
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176 if (! error_state)
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177 {
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178 MAYBE_CAST (rep, octave_complex_matrix);
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179 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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180 ComplexDET det = m.determinant (mtype, info, rcond);
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181 retval(1) = rcond;
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182 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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183 if (rep) rep->matrix_type (mtype);
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184 }
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185 }
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186 }
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187 else
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188 gripe_wrong_type_arg ("det", arg);
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189 }
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190 return retval;
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191 }
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192
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193 /*
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194
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195 %!assert(det ([1, 2; 3, 4]), -2, 10 * eps);
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196 %!assert(det (single([1, 2; 3, 4])), single(-2), 10 * eps ('single'));
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197 %!error <Invalid call to det.*> det ();
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198 %!error <Invalid call to det.*> det (1, 2);
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199 %!error det ([1, 2; 3, 4; 5, 6]);
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200
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201 */
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202
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203 /*
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204 ;;; Local Variables: ***
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205 ;;; mode: C++ ***
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206 ;;; End: ***
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207 */