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annotate src/DLD-FUNCTIONS/inv.cc @ 8377:25bc2d31e1bf

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improve OCTAVE_LOCAL_BUFFER
author Jaroslav Hajek <highegg@gmail.com>
date Wed, 29 Oct 2008 16:52:10 +0100
parents c3f7e2549abb
children a2878ba31a9e
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1999, 2000, 2001, 2002, 2004, 2005, 2006,
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4 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
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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 "defun-dld.h"
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29 #include "error.h"
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30 #include "gripes.h"
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31 #include "oct-obj.h"
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32 #include "ops.h"
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33 #include "ov-re-diag.h"
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34 #include "ov-cx-diag.h"
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35 #include "ov-flt-re-diag.h"
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36 #include "ov-flt-cx-diag.h"
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37 #include "ov-perm.h"
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38 #include "ov-flt-perm.h"
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39 #include "utils.h"
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40
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41 DEFUN_DLD (inv, args, nargout,
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42 "-*- texinfo -*-\n\
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43 @deftypefn {Loadable Function} {[@var{x}, @var{rcond}] =} inv (@var{a})\n\
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44 @deftypefnx {Loadable Function} {[@var{x}, @var{rcond}] =} inverse (@var{a})\n\
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45 Compute the inverse of the square matrix @var{a}. Return an estimate\n\
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46 of the reciprocal condition number if requested, otherwise warn of an\n\
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47 ill-conditioned matrix if the reciprocal condition number is small.\n\
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48 \n\
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49 If called with a sparse matrix, then in general @var{x} will be a full\n\
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50 matrix, and so if possible forming the inverse of a sparse matrix should\n\
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51 be avoided. It is significantly more accurate and faster to do\n\
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52 @code{@var{y} = @var{a} \\ @var{b}}, rather than\n\
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53 @code{@var{y} = inv (@var{a}) * @var{b}}.\n\
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54 @end deftypefn")
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55 {
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56 octave_value_list retval;
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57
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58 int nargin = args.length ();
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59
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60 if (nargin != 1)
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61 {
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62 print_usage ();
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63 return retval;
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64 }
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65
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66 octave_value arg = args(0);
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67
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68 octave_idx_type nr = arg.rows ();
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69 octave_idx_type nc = arg.columns ();
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70
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71 int arg_is_empty = empty_arg ("inverse", nr, nc);
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72
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73 if (arg_is_empty < 0)
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74 return retval;
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75 else if (arg_is_empty > 0)
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76 return octave_value (Matrix ());
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77
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78 if (nr != nc)
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79 {
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80 gripe_square_matrix_required ("inverse");
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81 return retval;
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82 }
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83
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84 octave_value result;
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85 octave_idx_type info;
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86 double rcond = 0.0;
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87 float frcond = 0.0;
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88 bool isfloat = arg.is_single_type ();
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89
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90 if (arg.is_diag_matrix ())
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91 {
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92 rcond = 1.0;
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93 frcond = 1.0f;
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94 const octave_base_value& a = arg.get_rep ();
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95 if (arg.is_complex_type ())
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96 {
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97 if (isfloat)
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98 {
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99 CAST_CONV_ARG (const octave_float_complex_diag_matrix&);
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100 result = v.float_complex_diag_matrix_value ().inverse (info);
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101 if (nargout > 1)
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102 frcond = v.float_complex_diag_matrix_value ().rcond ();
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103 }
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104 else
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105 {
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106 CAST_CONV_ARG (const octave_complex_diag_matrix&);
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107 result = v.complex_diag_matrix_value ().inverse (info);
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108 if (nargout > 1)
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109 rcond = v.complex_diag_matrix_value ().rcond ();
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110 }
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111 }
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112 else
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113 {
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114 if (isfloat)
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115 {
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116 CAST_CONV_ARG (const octave_float_diag_matrix&);
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117 result = v.float_diag_matrix_value ().inverse (info);
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118 if (nargout > 1)
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119 frcond = v.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 CAST_CONV_ARG (const octave_diag_matrix&);
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124 result = v.diag_matrix_value ().inverse (info);
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125 if (nargout > 1)
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126 rcond = v.diag_matrix_value ().rcond ();
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127 }
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128 }
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129 }
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130 else if (arg.is_perm_matrix ())
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131 {
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132 rcond = 1.0;
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133 frcond = 1.0f;
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134 info = 0;
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135 const octave_base_value& a = arg.get_rep ();
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136 if (isfloat)
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137 {
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138 CAST_CONV_ARG (const octave_float_perm_matrix&);
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139 result = v.perm_matrix_value ().inverse ();
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140 }
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141 else
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142 {
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143 CAST_CONV_ARG (const octave_perm_matrix&);
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144 result = v.perm_matrix_value ().inverse ();
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145 }
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146 }
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147 else if (isfloat)
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148 {
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149 if (arg.is_real_type ())
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150 {
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151 FloatMatrix m = arg.float_matrix_value ();
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152 if (! error_state)
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153 {
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154 MatrixType mattyp = args(0).matrix_type ();
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155 result = m.inverse (mattyp, info, frcond, 1);
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156 args(0).matrix_type (mattyp);
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157 }
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158 }
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159 else if (arg.is_complex_type ())
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160 {
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161 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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162 if (! error_state)
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163 {
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164 MatrixType mattyp = args(0).matrix_type ();
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165 result = m.inverse (mattyp, info, frcond, 1);
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166 args(0).matrix_type (mattyp);
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167 }
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168 }
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169 }
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170 else
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171 {
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172 if (arg.is_real_type ())
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173 {
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174 if (arg.is_sparse_type ())
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175 {
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176 SparseMatrix m = arg.sparse_matrix_value ();
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177 if (! error_state)
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178 {
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179 MatrixType mattyp = args(0).matrix_type ();
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180 result = m.inverse (mattyp, info, rcond, 1);
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181 args(0).matrix_type (mattyp);
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182 }
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183 }
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184 else
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185 {
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186 Matrix m = arg.matrix_value ();
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187 if (! error_state)
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188 {
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189 MatrixType mattyp = args(0).matrix_type ();
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190 result = m.inverse (mattyp, info, rcond, 1);
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191 args(0).matrix_type (mattyp);
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192 }
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193 }
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194 }
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195 else if (arg.is_complex_type ())
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196 {
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197 if (arg.is_sparse_type ())
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198 {
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199 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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200 if (! error_state)
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201 {
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202 MatrixType mattyp = args(0).matrix_type ();
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203 result = m.inverse (mattyp, info, rcond, 1);
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204 args(0).matrix_type (mattyp);
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205 }
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206 }
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207 else
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208 {
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209 ComplexMatrix m = arg.complex_matrix_value ();
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210 if (! error_state)
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211 {
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212 MatrixType mattyp = args(0).matrix_type ();
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213 result = m.inverse (mattyp, info, rcond, 1);
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214 args(0).matrix_type (mattyp);
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215 }
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216 }
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217 }
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218 else
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219 gripe_wrong_type_arg ("inv", arg);
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220 }
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221
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222 if (! error_state)
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223 {
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224 if (nargout > 1)
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diff changeset
225 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond);
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226
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227 retval(0) = result;
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228
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229 volatile double xrcond = rcond;
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230 xrcond += 1.0;
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231 if (nargout < 2 && (info == -1 || xrcond == 1.0))
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232 warning ("inverse: matrix singular to machine precision, rcond = %g",
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233 rcond);
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234 }
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235
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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236 return retval;
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237 }
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238
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
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239 /*
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240
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241 %!assert(inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps))
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242 %!assert(inv (single([1, 2; 3, 4])), single([-2, 1; 1.5, -0.5]), sqrt (eps ('single')))
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243
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244 %!error <Invalid call to inv.*> inv ();
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245 %!error <Invalid call to inv.*> inv ([1, 2; 3, 4], 2);
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246 %!error inv ([1, 2; 3, 4; 5, 6]);
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247
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248 */
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249
5775
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diff changeset
250 // FIXME -- this should really be done with an alias, but
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251 // alias_builtin() won't do the right thing if we are actually using
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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252 // dynamic linking.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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253
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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254 DEFUN_DLD (inverse, args, nargout,
3458
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diff changeset
255 "-*- texinfo -*-\n\
d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
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256 @deftypefn {Loadable Function} {} inverse (@var{a})\n\
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257 See inv.\n\
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258 @end deftypefn")
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259 {
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260 return Finv (args, nargout);
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261 }
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262
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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263 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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264 ;;; Local Variables: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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265 ;;; mode: C++ ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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266 ;;; End: ***
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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267 */