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doc: Update docstring for datenum to describe format argument (bug #43181) * datenum.m: Update docstring to describe the format argument exactly like the docstring for datevec. Add test using format argument.
author Mike Miller <mtmiller@ieee.org>
date Wed, 10 Sep 2014 08:19:43 -0400
parents 36057e2411f8
children 9feb46ac6847
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) 1996-2013 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 "defun.h"
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28 #include "error.h"
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29 #include "gripes.h"
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30 #include "oct-obj.h"
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31 #include "ops.h"
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32 #include "ov-re-diag.h"
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33 #include "ov-cx-diag.h"
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34 #include "ov-flt-re-diag.h"
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35 #include "ov-flt-cx-diag.h"
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36 #include "ov-perm.h"
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37 #include "utils.h"
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38
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39 DEFUN (inv, args, nargout,
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40 "-*- texinfo -*-\n\
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41 @deftypefn {Built-in Function} {@var{x} =} inv (@var{A})\n\
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42 @deftypefnx {Built-in Function} {[@var{x}, @var{rcond}] =} inv (@var{A})\n\
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43 Compute the inverse of the square matrix @var{A}. Return an estimate\n\
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44 of the reciprocal condition number if requested, otherwise warn of an\n\
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45 ill-conditioned matrix if the reciprocal condition number is small.\n\
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46 \n\
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47 In general it is best to avoid calculating the inverse of a matrix\n\
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48 directly. For example, it is both faster and more accurate to solve\n\
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49 systems of equations (@var{A}*@math{x} = @math{b}) with\n\
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50 @code{@var{y} = @var{A} \\ @math{b}}, rather than\n\
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51 @code{@var{y} = inv (@var{A}) * @math{b}}.\n\
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52 \n\
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53 If called with a sparse matrix, then in general @var{x} will be a full\n\
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54 matrix requiring significantly more storage. Avoid forming the inverse\n\
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55 of a sparse matrix if possible.\n\
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56 @seealso{ldivide, rdivide}\n\
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57 @end deftypefn")
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58 {
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59 octave_value_list retval;
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60
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61 int nargin = args.length ();
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62
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63 if (nargin != 1)
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64 {
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65 print_usage ();
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66 return retval;
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67 }
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68
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69 octave_value arg = args(0);
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70
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71 octave_idx_type nr = arg.rows ();
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72 octave_idx_type nc = arg.columns ();
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73
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74 int arg_is_empty = empty_arg ("inverse", nr, nc);
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75
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76 if (arg_is_empty < 0)
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77 return retval;
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78 else if (arg_is_empty > 0)
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79 return octave_value (Matrix ());
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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 ("inverse");
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84 return retval;
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85 }
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86
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87 octave_value result;
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88 octave_idx_type info;
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89 double rcond = 0.0;
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90 float frcond = 0.0;
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91 bool isfloat = arg.is_single_type ();
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92
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93 if (arg.is_diag_matrix ())
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94 {
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95 rcond = 1.0;
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96 frcond = 1.0f;
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97 if (arg.is_complex_type ())
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98 {
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99 if (isfloat)
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100 {
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101 result = arg.float_complex_diag_matrix_value ().inverse (info);
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102 if (nargout > 1)
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103 frcond = arg.float_complex_diag_matrix_value ().rcond ();
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104 }
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105 else
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106 {
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107 result = arg.complex_diag_matrix_value ().inverse (info);
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108 if (nargout > 1)
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109 rcond = arg.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 result = arg.float_diag_matrix_value ().inverse (info);
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117 if (nargout > 1)
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118 frcond = arg.float_diag_matrix_value ().rcond ();
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119 }
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120 else
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121 {
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122 result = arg.diag_matrix_value ().inverse (info);
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123 if (nargout > 1)
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124 rcond = arg.diag_matrix_value ().rcond ();
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125 }
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126 }
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127 }
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128 else if (arg.is_perm_matrix ())
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129 {
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130 rcond = 1.0;
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131 info = 0;
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132 result = arg.perm_matrix_value ().inverse ();
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133 }
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134 else if (isfloat)
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135 {
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136 if (arg.is_real_type ())
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137 {
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138 FloatMatrix m = arg.float_matrix_value ();
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139 if (! error_state)
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140 {
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141 MatrixType mattyp = args(0).matrix_type ();
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142 result = m.inverse (mattyp, info, frcond, 1);
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143 args(0).matrix_type (mattyp);
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diff changeset
144 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
145 }
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146 else if (arg.is_complex_type ())
10154
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diff changeset
147 {
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diff changeset
148 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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149 if (! error_state)
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diff changeset
150 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
151 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
152 result = m.inverse (mattyp, info, frcond, 1);
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153 args(0).matrix_type (mattyp);
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diff changeset
154 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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155 }
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156 }
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parents: 7650
diff changeset
157 else
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diff changeset
158 {
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parents: 7650
diff changeset
159 if (arg.is_real_type ())
10154
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160 {
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diff changeset
161 if (arg.is_sparse_type ())
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diff changeset
162 {
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diff changeset
163 SparseMatrix m = arg.sparse_matrix_value ();
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164 if (! error_state)
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165 {
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166 MatrixType mattyp = args(0).matrix_type ();
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167 result = m.inverse (mattyp, info, rcond, 1);
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168 args(0).matrix_type (mattyp);
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diff changeset
169 }
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170 }
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171 else
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172 {
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diff changeset
173 Matrix m = arg.matrix_value ();
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diff changeset
174 if (! error_state)
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diff changeset
175 {
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176 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
177 result = m.inverse (mattyp, info, rcond, 1);
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178 args(0).matrix_type (mattyp);
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179 }
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180 }
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diff changeset
181 }
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182 else if (arg.is_complex_type ())
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diff changeset
183 {
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184 if (arg.is_sparse_type ())
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diff changeset
185 {
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diff changeset
186 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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187 if (! error_state)
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diff changeset
188 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
189 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
190 result = m.inverse (mattyp, info, rcond, 1);
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diff changeset
191 args(0).matrix_type (mattyp);
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diff changeset
192 }
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diff changeset
193 }
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diff changeset
194 else
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195 {
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diff changeset
196 ComplexMatrix m = arg.complex_matrix_value ();
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diff changeset
197 if (! error_state)
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diff changeset
198 {
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diff changeset
199 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
200 result = m.inverse (mattyp, info, rcond, 1);
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diff changeset
201 args(0).matrix_type (mattyp);
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diff changeset
202 }
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diff changeset
203 }
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204 }
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diff changeset
205 else
10154
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diff changeset
206 gripe_wrong_type_arg ("inv", arg);
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207 }
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diff changeset
208
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
209 if (! error_state)
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210 {
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diff changeset
211 if (nargout > 1)
10154
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diff changeset
212 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond);
7515
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diff changeset
213
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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diff changeset
214 retval(0) = result;
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diff changeset
215
18243
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diff changeset
216 bool rcond_plus_one_eq_one = false;
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diff changeset
217
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diff changeset
218 if (isfloat)
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diff changeset
219 {
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diff changeset
220 volatile float xrcond = frcond;
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diff changeset
221 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F;
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diff changeset
222 }
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diff changeset
223 else
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diff changeset
224 {
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diff changeset
225 volatile double xrcond = rcond;
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diff changeset
226 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0;
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diff changeset
227 }
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diff changeset
228
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
229 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one))
11586
12df7854fa7c strip trailing whitespace from source files
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diff changeset
230 warning ("inverse: matrix singular to machine precision, rcond = %g",
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
231 (isfloat ? frcond : rcond));
2928
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diff changeset
232 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
233
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
234 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
235 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
236
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
237 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
238 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps))
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
239 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]), sqrt (eps ("single")))
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diff changeset
240
14501
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diff changeset
241 %!error inv ()
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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diff changeset
242 %!error inv ([1, 2; 3, 4], 2)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
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parents: 14138
diff changeset
243 %!error <argument must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
244
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
245 %!test
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
246 %! [xinv, rcond] = inv (single ([1,2;3,4]));
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diff changeset
247 %! assert (isa (xinv, 'single'));
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diff changeset
248 %! assert (isa (rcond, 'single'));
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diff changeset
249
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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diff changeset
250 %!test
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diff changeset
251 %! [xinv, rcond] = inv ([1,2;3,4]);
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diff changeset
252 %! assert (isa (xinv, 'double'));
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diff changeset
253 %! assert (isa (rcond, 'double'));
14501
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parents: 14138
diff changeset
254 */
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diff changeset
255
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
256 // FIXME: this should really be done with an alias, but
2928
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diff changeset
257 // alias_builtin() won't do the right thing if we are actually using
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
258 // dynamic linking.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
259
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14501
diff changeset
260 DEFUN (inverse, args, nargout,
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175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
261 "-*- texinfo -*-\n\
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
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parents: 14501
diff changeset
262 @deftypefn {Built-in Function} {@var{x} =} inverse (@var{A})\n\
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14501
diff changeset
263 @deftypefnx {Built-in Function} {[@var{x}, @var{rcond}] =} inverse (@var{A})\n\
12546
39ca02387a32 Improve docstrings for a number of functions.
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parents: 11586
diff changeset
264 Compute the inverse of the square matrix @var{A}.\n\
39ca02387a32 Improve docstrings for a number of functions.
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parents: 11586
diff changeset
265 \n\
39ca02387a32 Improve docstrings for a number of functions.
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parents: 11586
diff changeset
266 This is an alias for @code{inv}.\n\
11553
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
267 @seealso{inv}\n\
3458
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parents: 3372
diff changeset
268 @end deftypefn")
2928
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diff changeset
269 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
270 return Finv (args, nargout);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
271 }