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annotate libinterp/corefcn/inv.cc @ 33645:42355b7ec5d7 bytecode-interpreter tip

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maint: Merge default to bytecode-interpreter.
author Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
date Tue, 04 Jun 2024 11:00:11 -0400
parents 2e484f9f1f18
children
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2024 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "defun.h"
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31 #include "error.h"
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32 #include "errwarn.h"
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33 #include "ovl.h"
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34 #include "ops.h"
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35 #include "ov-re-diag.h"
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36 #include "ov-cx-diag.h"
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37 #include "ov-flt-re-diag.h"
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38 #include "ov-flt-cx-diag.h"
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39 #include "ov-perm.h"
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40
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41 OCTAVE_BEGIN_NAMESPACE(octave)
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42
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43 DEFUN (inv, args, nargout,
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44 doc: /* -*- texinfo -*-
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45 @deftypefn {} {@var{x} =} inv (@var{A})
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46 @deftypefnx {} {[@var{x}, @var{rcond}] =} inv (@var{A})
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47 @deftypefnx {} {[@dots{}] =} inverse (@dots{})
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48 Compute the inverse of the square matrix @var{A}.
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49
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50 Return an estimate of the reciprocal condition number if requested,
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51 otherwise warn of an ill-conditioned matrix if the reciprocal condition
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52 number is small.
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53
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54 In general it is best to avoid calculating the inverse of a matrix directly.
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55 For example, it is both faster and more accurate to solve systems of
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56 equations (@var{A}*@math{x} = @math{b}) with
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57 @code{@var{y} = @var{A} \ @math{b}}, rather than
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58 @code{@var{y} = inv (@var{A}) * @math{b}}.
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59
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60 If called with a sparse matrix, then in general @var{x} will be a full
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61 matrix requiring significantly more storage. Avoid forming the inverse of a
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62 sparse matrix if possible.
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63
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64 Programming Note: @code{inverse} is an alias for @code{inv} and can be used
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65 interchangeably.
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66 @seealso{ldivide, rdivide, pinv}
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67 @end deftypefn */)
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68 {
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69 if (args.length () != 1)
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70 print_usage ();
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71
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72 octave_value arg = args(0);
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73
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74 if (! arg.isnumeric ())
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75 err_wrong_type_arg ("inv", arg);
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76
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77 if (arg.isempty ())
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78 return ovl (Matrix ());
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79
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80 if (arg.rows () != arg.columns ())
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81 err_square_matrix_required ("inv", "A");
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82
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83 octave_value result;
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84 octave_idx_type info = 0;
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85 double rcond = 0.0;
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86 float frcond = 0.0;
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87 bool isfloat = arg.is_single_type ();
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88
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89 if (arg.is_diag_matrix ())
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90 {
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91 rcond = 1.0;
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92 frcond = 1.0f;
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93 if (arg.iscomplex ())
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94 {
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95 if (isfloat)
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96 {
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97 result = arg.float_complex_diag_matrix_value ().inverse (info);
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98 if (info == -1)
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99 frcond = 0.0f;
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100 else if (nargout > 1)
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101 frcond = arg.float_complex_diag_matrix_value ().rcond ();
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102 }
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103 else
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104 {
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105 result = arg.complex_diag_matrix_value ().inverse (info);
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106 if (info == -1)
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107 rcond = 0.0;
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108 else 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 (info == -1)
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118 frcond = 0.0f;
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119 else if (nargout > 1)
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120 frcond = arg.float_diag_matrix_value ().rcond ();
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121 }
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122 else
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123 {
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124 result = arg.diag_matrix_value ().inverse (info);
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125 if (info == -1)
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126 rcond = 0.0;
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127 else if (nargout > 1)
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128 rcond = arg.diag_matrix_value ().rcond ();
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129 }
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130 }
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131 }
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132 else if (arg.is_perm_matrix ())
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133 {
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134 info = 0;
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135 rcond = 1.0;
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136 result = arg.perm_matrix_value ().inverse ();
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
137 }
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
138 else if (isfloat)
2928
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jwe
parents:
diff changeset
139 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
140 if (arg.isreal ())
10154
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parents: 9064
diff changeset
141 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
142 FloatMatrix m = arg.float_matrix_value ();
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143
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144 MatrixType mattyp = args(0).matrix_type ();
30554
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diff changeset
145 result = m.inverse (mattyp, info, frcond, true, true);
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146 args(0).matrix_type (mattyp);
10154
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diff changeset
147 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
148 else if (arg.iscomplex ())
10154
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parents: 9064
diff changeset
149 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
150 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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151
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152 MatrixType mattyp = args(0).matrix_type ();
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153 result = m.inverse (mattyp, info, frcond, true, true);
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154 args(0).matrix_type (mattyp);
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diff changeset
155 }
2928
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jwe
parents:
diff changeset
156 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
157 else
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
158 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
159 if (arg.isreal ())
10154
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parents: 9064
diff changeset
160 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23582
diff changeset
161 if (arg.issparse ())
10154
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parents: 9064
diff changeset
162 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
163 SparseMatrix m = arg.sparse_matrix_value ();
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164
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165 MatrixType mattyp = args(0).matrix_type ();
30554
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166 result = m.inverse (mattyp, info, rcond, true, true);
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diff changeset
167 args(0).matrix_type (mattyp);
10154
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diff changeset
168 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
169 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
170 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
171 Matrix m = arg.matrix_value ();
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172
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diff changeset
173 MatrixType mattyp = args(0).matrix_type ();
30554
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diff changeset
174 result = m.inverse (mattyp, info, rcond, true, true);
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175 args(0).matrix_type (mattyp);
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diff changeset
176 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
177 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
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parents: 23577
diff changeset
178 else if (arg.iscomplex ())
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parents: 9064
diff changeset
179 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
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parents: 23582
diff changeset
180 if (arg.issparse ())
10154
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parents: 9064
diff changeset
181 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
182 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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183
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diff changeset
184 MatrixType mattyp = args(0).matrix_type ();
30554
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diff changeset
185 result = m.inverse (mattyp, info, rcond, true, true);
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diff changeset
186 args(0).matrix_type (mattyp);
10154
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diff changeset
187 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
188 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
189 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
190 ComplexMatrix m = arg.complex_matrix_value ();
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191
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diff changeset
192 MatrixType mattyp = args(0).matrix_type ();
30554
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diff changeset
193 result = m.inverse (mattyp, info, rcond, true, true);
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diff changeset
194 args(0).matrix_type (mattyp);
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diff changeset
195 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
196 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
197 else
30573
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
198 // Shouldn't get here since we checked for suitable arg earlier.
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
199 // Maybe for some user-defined classes?
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 21024
diff changeset
200 err_wrong_type_arg ("inv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
201 }
7515
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
202
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
203 octave_value_list retval (nargout > 1 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
204
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
205 retval(0) = result;
20678
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diff changeset
206 if (nargout > 1)
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23220
diff changeset
207 retval(1) = (isfloat ? octave_value (frcond) : octave_value (rcond));
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
208
30554
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Rik <rik@octave.org>
parents: 30313
diff changeset
209 if (nargout < 2)
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Rik <rik@octave.org>
parents: 30313
diff changeset
210 {
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
211 bool is_singular;
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
John W. Eaton <jwe@octave.org>
parents: 17787
diff changeset
212
30554
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Rik <rik@octave.org>
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diff changeset
213 if (isfloat)
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diff changeset
214 is_singular = ((frcond + 1.0f == 1.0f) || octave::math::isnan (frcond))
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diff changeset
215 && ! arg.is_scalar_type ();
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diff changeset
216 else
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parents: 30313
diff changeset
217 is_singular = ((rcond + 1.0 == 1.0) || octave::math::isnan (rcond))
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diff changeset
218 && ! arg.is_scalar_type ();
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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parents: 30313
diff changeset
219
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
220 if (info == -1 || is_singular)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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diff changeset
221 warn_singular_matrix (isfloat ? frcond : rcond);
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diff changeset
222 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
223
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
224 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
225 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
226
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
227 /*
30554
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parents: 30313
diff changeset
228 ## Basic test for double/single matrices
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diff changeset
229 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], 5*eps)
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diff changeset
230 %!test
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diff changeset
231 %! [xinv, rcond] = inv ([1,2;3,4]);
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diff changeset
232 %! assert (xinv, [-2, 1; 1.5, -0.5], 5*eps);
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diff changeset
233 %! assert (isa (rcond, "double"));
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Rik <rik@octave.org>
parents: 30313
diff changeset
234
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
parents: 29961
diff changeset
235 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]),
31607
aac27ad79be6 maint: Re-indent code after switch to using namespace macros.
Rik <rik@octave.org>
parents: 31605
diff changeset
236 %! 5* eps ("single"))
30554
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diff changeset
237 %!test
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diff changeset
238 %! [xinv, rcond] = inv (single ([1,2;3,4]));
31607
aac27ad79be6 maint: Re-indent code after switch to using namespace macros.
Rik <rik@octave.org>
parents: 31605
diff changeset
239 %! assert (xinv, single ([-2, 1; 1.5, -0.5]), 5* eps ("single"));
30554
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diff changeset
240 %! assert (isa (rcond, "single"));
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Rik <rik@octave.org>
parents: 30313
diff changeset
241
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
242 ## Basic test for integer inputs
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
243 %!assert (inv (int32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
244 %!assert (inv (uint32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
245 %!assert (inv (int64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
246 %!assert (inv (uint64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
247
30554
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diff changeset
248 ## Normal scalar cases
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diff changeset
249 %!assert (inv (2), 0.5)
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Rik <rik@octave.org>
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diff changeset
250 %!test
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Rik <rik@octave.org>
parents: 30313
diff changeset
251 %! [xinv, rcond] = inv (2);
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Rik <rik@octave.org>
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diff changeset
252 %! assert (xinv, 0.5);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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diff changeset
253 %! assert (rcond, 1);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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diff changeset
254 %!assert (inv (single (2)), single (0.5))
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parents: 30313
diff changeset
255 %!test
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Rik <rik@octave.org>
parents: 30313
diff changeset
256 %! [xinv, rcond] = inv (single (2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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parents: 30313
diff changeset
257 %! assert (xinv, single (0.5));
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Rik <rik@octave.org>
parents: 30313
diff changeset
258 %! assert (rcond, single (1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
259 %!assert (inv (complex (1, -1)), 0.5+0.5i)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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parents: 30313
diff changeset
260 %!test
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parents: 30313
diff changeset
261 %! [xinv, rcond] = inv (complex (1, -1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
262 %! assert (xinv, 0.5+0.5i);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
263 %! assert (rcond, 1);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
264 %!assert (inv (complex (single (1), -1)), single (0.5+0.5i))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
265 %!test
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Rik <rik@octave.org>
parents: 30313
diff changeset
266 %! [xinv, rcond] = inv (complex (single (1), -1));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
267 %! assert (xinv, single (0.5+0.5i));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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parents: 30313
diff changeset
268 %! assert (rcond, single (1));
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
269
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
270 ## Test special inputs
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
271 ## Empty matrix
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
272 %!assert (inv (zeros (2,0)), [])
30554
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273
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274 ## Scalar "0"
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275 %!assert (inv (0), Inf)
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276 %!test
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277 %! [xinv, rcond] = inv (0);
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278 %! assert (xinv, Inf);
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279 %! assert (rcond, 0);
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280 %!assert (inv (single (0)), single (Inf))
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diff changeset
281 %!test
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282 %! [xinv, rcond] = inv (single (0));
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283 %! assert (xinv, single (Inf));
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diff changeset
284 %! assert (rcond, single (0));
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diff changeset
285 %!assert (inv (complex (0, 0)), Inf)
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diff changeset
286 %!test
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287 %! [xinv, rcond] = inv (complex (0, 0));
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diff changeset
288 %! assert (xinv, Inf);
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289 %! assert (rcond, 0);
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290 %!assert (inv (complex (single (0), 0)), single (Inf))
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291 %!test
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292 %! [xinv, rcond] = inv (complex (single (0), 0));
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293 %! assert (xinv, single (Inf));
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diff changeset
294 %! assert (rcond, single (0));
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
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295 ## NOTE: Matlab returns +Inf for -0 input, but it returns -Inf for 1/-0.
30554
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296 ## These should be the same, and in Octave they are.
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297 %!assert (inv (-0), -Inf)
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diff changeset
298 %!test
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299 %! [xinv, rcond] = inv (-0);
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300 %! assert (xinv, -Inf);
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301 %! assert (rcond, 0);
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302
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303 ## Scalar "Inf"
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304 %!assert (inv (Inf), 0)
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305 %!test
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306 %! [xinv, rcond] = inv (Inf);
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diff changeset
307 %! assert (xinv, 0);
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308 %! assert (rcond, 0);
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Rik <rik@octave.org>
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309 %!assert (inv (single (Inf)), single (0))
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diff changeset
310 %!test
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311 %! [xinv, rcond] = inv (single (Inf));
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312 %! assert (xinv, single (0));
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diff changeset
313 %! assert (rcond, single (0));
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Rik <rik@octave.org>
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diff changeset
314 %!assert (inv (complex (1, Inf)), 0)
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Rik <rik@octave.org>
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diff changeset
315 %!test
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316 %! [xinv, rcond] = inv (complex (1, Inf));
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317 %! assert (xinv, 0);
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318 %! assert (rcond, 0);
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319 %!assert (inv (complex (single (1), Inf)), single (0))
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diff changeset
320 %!test
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321 %! [xinv, rcond] = inv (complex (single (1), Inf));
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322 %! assert (xinv, single (0));
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323 %! assert (rcond, single (0));
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324
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
325 ## Scalar "NaN"
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Rik <rik@octave.org>
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diff changeset
326 %!assert (inv (NaN), NaN)
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Rik <rik@octave.org>
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diff changeset
327 %!test
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Rik <rik@octave.org>
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328 %! [xinv, rcond] = inv (NaN);
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Rik <rik@octave.org>
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329 %! assert (xinv, NaN);
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330 %! assert (rcond, NaN);
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Rik <rik@octave.org>
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331 %!assert (inv (single (NaN)), single (NaN))
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Rik <rik@octave.org>
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diff changeset
332 %!test
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333 %! [xinv, rcond] = inv (single (NaN));
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334 %! assert (xinv, single (NaN));
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Rik <rik@octave.org>
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diff changeset
335 %! assert (rcond, single (NaN));
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336 %!assert (inv (complex (1, NaN)), complex (NaN, NaN))
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diff changeset
337 %!test
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338 %! [xinv, rcond] = inv (complex (1, NaN));
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339 %! assert (xinv, complex (NaN, NaN));
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Rik <rik@octave.org>
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340 %! assert (rcond, NaN);
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341 %!assert (inv (complex (single (1), NaN)), complex (single (NaN), NaN))
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342 %!test
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343 %! [xinv, rcond] = inv (complex (single (1), NaN));
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344 %! assert (xinv, complex (single (NaN), NaN));
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345 %! assert (rcond, single (NaN));
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346
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
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diff changeset
347 ## Matrix special values
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348 ## Matrix of all zeroes
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
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349 %!warning <matrix singular> assert (inv (zeros (2,2)), Inf (2,2))
30554
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350 %!test
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351 %! [xinv, rcond] = inv (zeros (2,2));
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diff changeset
352 %! assert (xinv, Inf (2,2));
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Rik <rik@octave.org>
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diff changeset
353 %! assert (rcond, 0);
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diff changeset
354 ## Matrix of all Inf
32616
ee327763c079 test: Change two inv() BIST tests to %!xtest and tag with bug number (bug #65054).
Rik <rik@octave.org>
parents: 32581
diff changeset
355 %!xtest <65054>
ee327763c079 test: Change two inv() BIST tests to %!xtest and tag with bug number (bug #65054).
Rik <rik@octave.org>
parents: 32581
diff changeset
356 %! fail ("A = inv (Inf (2,2))", "warning", "matrix singular");
ee327763c079 test: Change two inv() BIST tests to %!xtest and tag with bug number (bug #65054).
Rik <rik@octave.org>
parents: 32581
diff changeset
357 %! assert (A, NaN (2,2));
ee327763c079 test: Change two inv() BIST tests to %!xtest and tag with bug number (bug #65054).
Rik <rik@octave.org>
parents: 32581
diff changeset
358 %!xtest <65054>
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359 %! [xinv, rcond] = inv (Inf (2,2));
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Rik <rik@octave.org>
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diff changeset
360 %! assert (xinv, NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
361 %! assert (rcond, NaN);
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
362 ## Matrix of all NaN
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Rik <rik@octave.org>
parents: 30313
diff changeset
363 %!warning <rcond = > assert (inv (NaN (2,2)), NaN (2,2))
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
364 %!test
30554
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Rik <rik@octave.org>
parents: 30313
diff changeset
365 %! [xinv, rcond] = inv (NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
366 %! assert (xinv, NaN (2,2));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
367 %! assert (rcond, NaN);
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
diff changeset
368
30554
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Rik <rik@octave.org>
parents: 30313
diff changeset
369 ## Special diagonal matrices
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Rik <rik@octave.org>
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diff changeset
370 %!test
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Rik <rik@octave.org>
parents: 30313
diff changeset
371 %! fail ("A = inv (diag ([1, 0, 1]))", "warning", "matrix singular");
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
372 %! assert (A, diag ([Inf, Inf, Inf]));
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
373
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
374 ## Special sparse matrices
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
375 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
376 %! fail ("A = inv (sparse ([1, 2;0 ,0]))", "warning", "matrix singular");
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
377 %! assert (A, sparse ([Inf, Inf; 0, 0]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
378
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
379 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
380 %! fail ("A = inv (sparse ([1i, 2;0 ,0]))", "warning", "matrix singular");
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
381 %! assert (A, sparse ([Inf, Inf; 0, 0]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
382
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
383 %!testif HAVE_UMFPACK <*56232>
30346
91c6288781ba maint: Shorten some long lines in libinterp to <= 80 characters (bug #57599)
Rik <rik@octave.org>
parents: 30313
diff changeset
384 %! fail ("A = inv (sparse ([1, 0, 0; 0, 0, 0; 0, 0, 1]))",
91c6288781ba maint: Shorten some long lines in libinterp to <= 80 characters (bug #57599)
Rik <rik@octave.org>
parents: 30313
diff changeset
385 %! "warning", "matrix singular");
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
386 %! assert (A, sparse ([Inf, 0, 0; 0, 0, 0; 0, 0, Inf]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
387
30590
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
diff changeset
388 %!error <Invalid call> inv ()
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
diff changeset
389 %!error <Invalid call> inv ([1, 2; 3, 4], 2)
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
diff changeset
390 %!error <wrong type argument> inv ("Hello World")
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
diff changeset
391 %!error <wrong type argument> inv ({1})
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
392 %!error <wrong type argument> inv (true)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21100
diff changeset
393 %!error <must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
394 %!error <inverse of the null matrix not defined> inv (sparse (2, 2, 0))
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
395 %!error <inverse of the null matrix not defined> inv (diag ([0, 0]))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
396 %!error <inverse of the null matrix not defined> inv (diag (complex ([0, 0])))
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
397 */
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
398
23453
2eb7dc15f9fa use DEFALIAS to define inverse
John W. Eaton <jwe@octave.org>
parents: 23450
diff changeset
399 DEFALIAS (inverse, inv);
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
400
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 31384
diff changeset
401 OCTAVE_END_NAMESPACE(octave)