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DLD-FUNCTIONS/inv.cc (Finv): Avoid GCC warning
author John W. Eaton <jwe@octave.org>
date Wed, 09 Jul 2008 12:28:26 -0400
parents 87865ed7405f
children 8b1a2555c4e2
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, 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 "utils.h"
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33
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34 DEFUN_DLD (inv, args, nargout,
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35 "-*- texinfo -*-\n\
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36 @deftypefn {Loadable Function} {[@var{x}, @var{rcond}] =} inv (@var{a})\n\
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37 @deftypefnx {Loadable Function} {[@var{x}, @var{rcond}] =} inverse (@var{a})\n\
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38 Compute the inverse of the square matrix @var{a}. Return an estimate\n\
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39 of the reciprocal condition number if requested, otherwise warn of an\n\
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40 ill-conditioned matrix if the reciprocal condition number is small.\n\
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41 \n\
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42 If called with a sparse matrix, then in general @var{x} will be a full\n\
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43 matrix, and so if possible forming the inverse of a sparse matrix should\n\
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44 be avoided. It is significantly more accurate and faster to do\n\
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45 @code{@var{y} = @var{a} \\ @var{b}}, rather than\n\
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46 @code{@var{y} = inv (@var{a}) * @var{b}}.\n\
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47 @end deftypefn")
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48 {
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49 octave_value_list retval;
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50
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51 int nargin = args.length ();
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52
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53 if (nargin != 1)
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54 {
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55 print_usage ();
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56 return retval;
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57 }
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58
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59 octave_value arg = args(0);
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60
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61 octave_idx_type nr = arg.rows ();
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62 octave_idx_type nc = arg.columns ();
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63
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64 int arg_is_empty = empty_arg ("inverse", nr, nc);
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65
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66 if (arg_is_empty < 0)
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67 return retval;
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68 else if (arg_is_empty > 0)
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69 return octave_value (Matrix ());
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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 ("inverse");
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74 return retval;
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75 }
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76
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77 octave_value result;
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78 octave_idx_type info;
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79 double rcond = 0.0;
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80 float frcond = 0.0;
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81 bool isfloat = arg.is_single_type ();
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82
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83 if (isfloat)
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84 {
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85 if (arg.is_real_type ())
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86 {
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87 FloatMatrix m = arg.float_matrix_value ();
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88 if (! error_state)
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89 {
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90 MatrixType mattyp = args(0).matrix_type ();
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91 result = m.inverse (mattyp, info, frcond, 1);
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92 args(0).matrix_type (mattyp);
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93 }
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94 }
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95 else if (arg.is_complex_type ())
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96 {
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97 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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98 if (! error_state)
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99 {
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100 MatrixType mattyp = args(0).matrix_type ();
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101 result = m.inverse (mattyp, info, frcond, 1);
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102 args(0).matrix_type (mattyp);
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103 }
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104 }
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105 }
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106 else
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107 {
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108 if (arg.is_real_type ())
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109 {
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110 if (arg.is_sparse_type ())
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111 {
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112 SparseMatrix m = arg.sparse_matrix_value ();
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113 if (! error_state)
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114 {
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115 MatrixType mattyp = args(0).matrix_type ();
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116 result = m.inverse (mattyp, info, rcond, 1);
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117 args(0).matrix_type (mattyp);
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118 }
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119 }
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120 else
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121 {
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122 Matrix m = arg.matrix_value ();
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123 if (! error_state)
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124 {
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125 MatrixType mattyp = args(0).matrix_type ();
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126 result = m.inverse (mattyp, info, rcond, 1);
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127 args(0).matrix_type (mattyp);
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128 }
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129 }
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130 }
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131 else if (arg.is_complex_type ())
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132 {
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133 if (arg.is_sparse_type ())
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134 {
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135 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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136 if (! error_state)
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137 {
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138 MatrixType mattyp = args(0).matrix_type ();
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139 result = m.inverse (mattyp, info, rcond, 1);
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140 args(0).matrix_type (mattyp);
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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 ComplexMatrix m = arg.complex_matrix_value ();
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146 if (! error_state)
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147 {
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148 MatrixType mattyp = args(0).matrix_type ();
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149 result = m.inverse (mattyp, info, rcond, 1);
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150 args(0).matrix_type (mattyp);
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151 }
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152 }
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153 }
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154 else
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155 gripe_wrong_type_arg ("inv", arg);
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156 }
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157
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158 if (! error_state)
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159 {
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160 if (nargout > 1)
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161 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond);
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162
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163 retval(0) = result;
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164
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165 volatile double xrcond = rcond;
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166 xrcond += 1.0;
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167 if (nargout < 2 && (info == -1 || xrcond == 1.0))
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168 warning ("inverse: matrix singular to machine precision, rcond = %g",
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169 rcond);
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170 }
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171
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172 return retval;
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173 }
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174
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175 /*
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176
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177 %!assert(inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps))
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178 %!assert(inv (single([1, 2; 3, 4])), single([-2, 1; 1.5, -0.5]), sqrt (eps ('single')))
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179
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180 %!error <Invalid call to inv.*> inv ();
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181 %!error <Invalid call to inv.*> inv ([1, 2; 3, 4], 2);
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182 %!error inv ([1, 2; 3, 4; 5, 6]);
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183
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184 */
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185
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186 // FIXME -- this should really be done with an alias, but
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187 // alias_builtin() won't do the right thing if we are actually using
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188 // dynamic linking.
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189
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190 DEFUN_DLD (inverse, args, nargout,
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191 "-*- texinfo -*-\n\
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192 @deftypefn {Loadable Function} {} inverse (@var{a})\n\
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193 See inv.\n\
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194 @end deftypefn")
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195 {
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196 return Finv (args, nargout);
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197 }
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198
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199 /*
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200 ;;; Local Variables: ***
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201 ;;; mode: C++ ***
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202 ;;; End: ***
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203 */