Mercurial > jwe > octave
annotate libinterp/corefcn/inv.cc @ 21127:df7891224709
maint: Use "return ovl (...)" in DEFUN macros.
* cellfun.cc, data.cc, debug.cc, defaults.cc, det.cc, dirfns.cc, dlmread.cc,
error.cc, file-io.cc, getrusage.cc, graphics.cc, help.cc, input.cc, inv.cc,
kron.cc, load-path.cc, pager.cc, pinv.cc, rand.cc, strfns.cc, urlwrite.cc,
chol.cc, ov-classdef.cc, ov-struct.cc: Use "return ovl (...)" in DEFUN macros,
rather than "return octave_value (...)".
author | Rik <rik@octave.org> |
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date | Thu, 21 Jan 2016 09:47:50 -0800 |
parents | 358aa7fcbd33 |
children | fcac5dbbf9ed |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
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27 #include "defun.h" |
2928 | 28 #include "error.h" |
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29 #include "errwarn.h" |
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30 #include "ovl.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" |
2928 | 37 #include "utils.h" |
38 | |
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39 DEFUN (inv, args, nargout, |
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40 "-*- texinfo -*-\n\ |
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41 @deftypefn {} {@var{x} =} inv (@var{A})\n\ |
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42 @deftypefnx {} {[@var{x}, @var{rcond}] =} inv (@var{A})\n\ |
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43 Compute the inverse of the square matrix @var{A}.\n\ |
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44 \n\ |
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45 Return an estimate of the reciprocal condition number if requested,\n\ |
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46 otherwise warn of an ill-conditioned matrix if the reciprocal condition\n\ |
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47 number is small.\n\ |
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48 \n\ |
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49 In general it is best to avoid calculating the inverse of a matrix directly.\n\ |
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50 For example, it is both faster and more accurate to solve systems of\n\ |
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51 equations (@var{A}*@math{x} = @math{b}) with\n\ |
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52 @code{@var{y} = @var{A} \\ @math{b}}, rather than\n\ |
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53 @code{@var{y} = inv (@var{A}) * @math{b}}.\n\ |
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54 \n\ |
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55 If called with a sparse matrix, then in general @var{x} will be a full\n\ |
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56 matrix requiring significantly more storage. Avoid forming the inverse of a\n\ |
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57 sparse matrix if possible.\n\ |
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58 @seealso{ldivide, rdivide}\n\ |
3372 | 59 @end deftypefn") |
2928 | 60 { |
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61 if (args.length () != 1) |
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62 print_usage (); |
2928 | 63 |
64 octave_value arg = args(0); | |
65 | |
5275 | 66 octave_idx_type nr = arg.rows (); |
67 octave_idx_type nc = arg.columns (); | |
2928 | 68 |
69 int arg_is_empty = empty_arg ("inverse", nr, nc); | |
70 | |
71 if (arg_is_empty < 0) | |
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72 return ovl (); |
2928 | 73 else if (arg_is_empty > 0) |
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74 return ovl (Matrix ()); |
2928 | 75 |
76 if (nr != nc) | |
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77 err_square_matrix_required ("inverse", "A"); |
2928 | 78 |
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79 octave_value result; |
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80 octave_idx_type info; |
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81 double rcond = 0.0; |
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82 float frcond = 0.0; |
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83 bool isfloat = arg.is_single_type (); |
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84 |
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85 if (arg.is_diag_matrix ()) |
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86 { |
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87 rcond = 1.0; |
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88 frcond = 1.0f; |
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89 if (arg.is_complex_type ()) |
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90 { |
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91 if (isfloat) |
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92 { |
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93 result = arg.float_complex_diag_matrix_value ().inverse (info); |
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94 if (nargout > 1) |
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95 frcond = arg.float_complex_diag_matrix_value ().rcond (); |
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96 } |
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97 else |
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98 { |
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99 result = arg.complex_diag_matrix_value ().inverse (info); |
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100 if (nargout > 1) |
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101 rcond = arg.complex_diag_matrix_value ().rcond (); |
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102 } |
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103 } |
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104 else |
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105 { |
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106 if (isfloat) |
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107 { |
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108 result = arg.float_diag_matrix_value ().inverse (info); |
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109 if (nargout > 1) |
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110 frcond = arg.float_diag_matrix_value ().rcond (); |
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111 } |
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112 else |
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113 { |
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114 result = arg.diag_matrix_value ().inverse (info); |
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115 if (nargout > 1) |
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116 rcond = arg.diag_matrix_value ().rcond (); |
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117 } |
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118 } |
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119 } |
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120 else if (arg.is_perm_matrix ()) |
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121 { |
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122 rcond = 1.0; |
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123 info = 0; |
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124 result = arg.perm_matrix_value ().inverse (); |
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125 } |
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126 else if (isfloat) |
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128 if (arg.is_real_type ()) |
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129 { |
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130 FloatMatrix m = arg.float_matrix_value (); |
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131 |
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132 MatrixType mattyp = args(0).matrix_type (); |
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133 result = m.inverse (mattyp, info, frcond, 1); |
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134 args(0).matrix_type (mattyp); |
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135 } |
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136 else if (arg.is_complex_type ()) |
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137 { |
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138 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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139 |
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140 MatrixType mattyp = args(0).matrix_type (); |
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141 result = m.inverse (mattyp, info, frcond, 1); |
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142 args(0).matrix_type (mattyp); |
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143 } |
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145 else |
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147 if (arg.is_real_type ()) |
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149 if (arg.is_sparse_type ()) |
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150 { |
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151 SparseMatrix m = arg.sparse_matrix_value (); |
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152 |
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153 MatrixType mattyp = args(0).matrix_type (); |
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154 result = m.inverse (mattyp, info, rcond, 1); |
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155 args(0).matrix_type (mattyp); |
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156 } |
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157 else |
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158 { |
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159 Matrix m = arg.matrix_value (); |
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160 |
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161 MatrixType mattyp = args(0).matrix_type (); |
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162 result = m.inverse (mattyp, info, rcond, 1); |
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163 args(0).matrix_type (mattyp); |
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164 } |
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165 } |
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166 else if (arg.is_complex_type ()) |
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167 { |
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168 if (arg.is_sparse_type ()) |
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169 { |
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170 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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171 |
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172 MatrixType mattyp = args(0).matrix_type (); |
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173 result = m.inverse (mattyp, info, rcond, 1); |
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174 args(0).matrix_type (mattyp); |
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175 } |
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176 else |
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177 { |
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178 ComplexMatrix m = arg.complex_matrix_value (); |
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179 |
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180 MatrixType mattyp = args(0).matrix_type (); |
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181 result = m.inverse (mattyp, info, rcond, 1); |
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182 args(0).matrix_type (mattyp); |
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183 } |
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184 } |
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185 else |
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186 err_wrong_type_arg ("inv", arg); |
2928 | 187 } |
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188 |
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189 octave_value_list retval (nargout > 1 ? 2 : 1); |
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190 |
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191 retval(0) = result; |
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192 if (nargout > 1) |
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193 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond); |
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194 |
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195 bool rcond_plus_one_eq_one = false; |
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196 |
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197 if (isfloat) |
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198 { |
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199 volatile float xrcond = frcond; |
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200 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F; |
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201 } |
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202 else |
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203 { |
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204 volatile double xrcond = rcond; |
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205 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0; |
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206 } |
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207 |
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208 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one)) |
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209 warn_singular_matrix (isfloat ? frcond : rcond); |
2928 | 210 |
211 return retval; | |
212 } | |
213 | |
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214 /* |
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215 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps)) |
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216 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]), sqrt (eps ("single"))) |
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217 |
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218 %!error inv () |
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219 %!error inv ([1, 2; 3, 4], 2) |
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220 %!error <must be a square matrix> inv ([1, 2; 3, 4; 5, 6]) |
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221 |
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222 %!test |
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223 %! [xinv, rcond] = inv (single ([1,2;3,4])); |
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224 %! assert (isa (xinv, 'single')); |
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225 %! assert (isa (rcond, 'single')); |
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226 |
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227 %!test |
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228 %! [xinv, rcond] = inv ([1,2;3,4]); |
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229 %! assert (isa (xinv, 'double')); |
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230 %! assert (isa (rcond, 'double')); |
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231 */ |
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232 |
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233 // FIXME: this should really be done with an alias, but |
2928 | 234 // alias_builtin() won't do the right thing if we are actually using |
235 // dynamic linking. | |
236 | |
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237 DEFUN (inverse, args, nargout, |
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238 "-*- texinfo -*-\n\ |
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239 @deftypefn {} {@var{x} =} inverse (@var{A})\n\ |
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240 @deftypefnx {} {[@var{x}, @var{rcond}] =} inverse (@var{A})\n\ |
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241 Compute the inverse of the square matrix @var{A}.\n\ |
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242 \n\ |
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243 This is an alias for @code{inv}.\n\ |
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244 @seealso{inv}\n\ |
3458 | 245 @end deftypefn") |
2928 | 246 { |
247 return Finv (args, nargout); | |
248 } |