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annotate libinterp/corefcn/inv.cc @ 20678:4b00afb5e9c3

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eliminate more uses of error_state * __lin_interpn__.cc, __qp__.cc, error.cc, file-io.cc, help.cc, hex2num.cc, inv.cc, load-save.cc, rand.cc, symtab.cc, toplev.cc, amd.cc, qr.cc, ov-base.cc, ov-classdef.cc: Eliminate most trivial uses of error_state.
author John W. Eaton <jwe@octave.org>
date Wed, 04 Nov 2015 15:56:22 -0500
parents 4f45eaf83908
children 8bb38ba1bad6
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1996-2015 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}.\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\
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59 @end deftypefn")
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60 {
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61 octave_value_list retval;
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62
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63 int nargin = args.length ();
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64
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65 if (nargin != 1)
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66 {
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67 print_usage ();
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68 return retval;
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69 }
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70
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71 octave_value arg = args(0);
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72
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73 octave_idx_type nr = arg.rows ();
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74 octave_idx_type nc = arg.columns ();
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75
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76 int arg_is_empty = empty_arg ("inverse", nr, nc);
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77
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78 if (arg_is_empty < 0)
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79 return retval;
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80 else if (arg_is_empty > 0)
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81 return octave_value (Matrix ());
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82
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83 if (nr != nc)
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84 {
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85 gripe_square_matrix_required ("inverse");
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86 return retval;
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87 }
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88
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89 octave_value result;
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90 octave_idx_type info;
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91 double rcond = 0.0;
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92 float frcond = 0.0;
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93 bool isfloat = arg.is_single_type ();
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94
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95 if (arg.is_diag_matrix ())
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96 {
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97 rcond = 1.0;
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98 frcond = 1.0f;
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99 if (arg.is_complex_type ())
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100 {
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101 if (isfloat)
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102 {
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103 result = arg.float_complex_diag_matrix_value ().inverse (info);
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104 if (nargout > 1)
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105 frcond = arg.float_complex_diag_matrix_value ().rcond ();
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106 }
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107 else
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108 {
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109 result = arg.complex_diag_matrix_value ().inverse (info);
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110 if (nargout > 1)
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111 rcond = arg.complex_diag_matrix_value ().rcond ();
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112 }
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113 }
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114 else
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115 {
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116 if (isfloat)
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117 {
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118 result = arg.float_diag_matrix_value ().inverse (info);
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119 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 (nargout > 1)
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126 rcond = arg.diag_matrix_value ().rcond ();
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127 }
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128 }
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129 }
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130 else if (arg.is_perm_matrix ())
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131 {
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132 rcond = 1.0;
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133 info = 0;
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134 result = arg.perm_matrix_value ().inverse ();
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135 }
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136 else if (isfloat)
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137 {
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138 if (arg.is_real_type ())
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139 {
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140 FloatMatrix m = arg.float_matrix_value ();
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141
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142 MatrixType mattyp = args(0).matrix_type ();
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143 result = m.inverse (mattyp, info, frcond, 1);
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144 args(0).matrix_type (mattyp);
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145 }
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146 else if (arg.is_complex_type ())
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147 {
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148 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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149
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150 MatrixType mattyp = args(0).matrix_type ();
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151 result = m.inverse (mattyp, info, frcond, 1);
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152 args(0).matrix_type (mattyp);
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153 }
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154 }
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155 else
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156 {
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157 if (arg.is_real_type ())
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158 {
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159 if (arg.is_sparse_type ())
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160 {
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161 SparseMatrix m = arg.sparse_matrix_value ();
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162
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163 MatrixType mattyp = args(0).matrix_type ();
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164 result = m.inverse (mattyp, info, rcond, 1);
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165 args(0).matrix_type (mattyp);
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166 }
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167 else
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168 {
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169 Matrix m = arg.matrix_value ();
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170
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171 MatrixType mattyp = args(0).matrix_type ();
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172 result = m.inverse (mattyp, info, rcond, 1);
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173 args(0).matrix_type (mattyp);
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174 }
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175 }
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176 else if (arg.is_complex_type ())
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177 {
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178 if (arg.is_sparse_type ())
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179 {
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180 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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181
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182 MatrixType mattyp = args(0).matrix_type ();
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183 result = m.inverse (mattyp, info, rcond, 1);
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184 args(0).matrix_type (mattyp);
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185 }
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186 else
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187 {
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188 ComplexMatrix m = arg.complex_matrix_value ();
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189
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190 MatrixType mattyp = args(0).matrix_type ();
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191 result = m.inverse (mattyp, info, rcond, 1);
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192 args(0).matrix_type (mattyp);
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193 }
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194 }
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195 else
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196 gripe_wrong_type_arg ("inv", arg);
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197 }
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198
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199 if (nargout > 1)
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200 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond);
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201
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202 retval(0) = result;
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203
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204 bool rcond_plus_one_eq_one = false;
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205
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206 if (isfloat)
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207 {
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208 volatile float xrcond = frcond;
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209 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F;
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210 }
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211 else
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212 {
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213 volatile double xrcond = rcond;
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214 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0;
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215 }
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216
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217 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one))
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218 gripe_singular_matrix (isfloat ? frcond : rcond);
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219
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220 return retval;
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221 }
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222
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223 /*
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224 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps))
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225 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]), sqrt (eps ("single")))
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226
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227 %!error inv ()
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228 %!error inv ([1, 2; 3, 4], 2)
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229 %!error <argument must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
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230
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231 %!test
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232 %! [xinv, rcond] = inv (single ([1,2;3,4]));
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233 %! assert (isa (xinv, 'single'));
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234 %! assert (isa (rcond, 'single'));
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235
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236 %!test
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237 %! [xinv, rcond] = inv ([1,2;3,4]);
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238 %! assert (isa (xinv, 'double'));
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239 %! assert (isa (rcond, 'double'));
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240 */
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241
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242 // FIXME: this should really be done with an alias, but
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243 // alias_builtin() won't do the right thing if we are actually using
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244 // dynamic linking.
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245
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246 DEFUN (inverse, args, nargout,
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247 "-*- texinfo -*-\n\
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248 @deftypefn {Built-in Function} {@var{x} =} inverse (@var{A})\n\
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249 @deftypefnx {Built-in Function} {[@var{x}, @var{rcond}] =} inverse (@var{A})\n\
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250 Compute the inverse of the square matrix @var{A}.\n\
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251 \n\
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252 This is an alias for @code{inv}.\n\
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253 @seealso{inv}\n\
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254 @end deftypefn")
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255 {
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256 return Finv (args, nargout);
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257 }