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annotate libinterp/corefcn/inv.cc @ 23581:c3075ae020e1

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maint: Deprecate is_complex_type and replace with iscomplex. * ov.h (is_complex_type): Use OCTAVE_DEPRECATED macro around function. * ov.h (iscomplex): New function. * __ichol__.cc, __ilu__.cc, balance.cc, bsxfun.cc, cellfun.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, det.cc, dot.cc, fft.cc, fft2.cc, fftn.cc, filter.cc, find.cc, givens.cc, graphics.cc, gsvd.cc, hess.cc, hex2num.cc, inv.cc, kron.cc, lookup.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc, lsode.cc, lu.cc, matrix_type.cc, mex.cc, mgorth.cc, ordschur.cc, pinv.cc, psi.cc, quad.cc, qz.cc, rcond.cc, schur.cc, sparse-xpow.cc, sparse.cc, sqrtm.cc, svd.cc, sylvester.cc, symtab.cc, typecast.cc, variables.cc, xnorm.cc, __eigs__.cc, amd.cc, ccolamd.cc, chol.cc, colamd.cc, qr.cc, symbfact.cc, ov-base.h, ov-complex.h, ov-cx-diag.h, ov-cx-mat.h, ov-cx-sparse.h, ov-flt-complex.h, ov-flt-cx-diag.h, ov-flt-cx-mat.h, jit-typeinfo.cc, pt-tm-const.cc: Replace instances of is_complex_type with iscomplex.
author Rik <rik@octave.org>
date Mon, 12 Jun 2017 21:18:23 -0700
parents 80c42f4cca13
children 0cc2011d800e
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1 /*
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2
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3 Copyright (C) 1996-2017 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
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9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting.
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10 (at your 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
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13 WITHOUT ANY WARRANTY; without even the implied warranty of
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 GNU General Public License for more details.
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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 #if defined (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 "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"
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37
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38 DEFUN (inv, args, nargout,
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39 doc: /* -*- texinfo -*-
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40 @deftypefn {} {@var{x} =} inv (@var{A})
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41 @deftypefnx {} {[@var{x}, @var{rcond}] =} inv (@var{A})
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42 Compute the inverse of the square matrix @var{A}.
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43
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44 Return an estimate of the reciprocal condition number if requested,
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45 otherwise warn of an ill-conditioned matrix if the reciprocal condition
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46 number is small.
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47
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48 In general it is best to avoid calculating the inverse of a matrix directly.
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49 For example, it is both faster and more accurate to solve systems of
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50 equations (@var{A}*@math{x} = @math{b}) with
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51 @code{@var{y} = @var{A} \ @math{b}}, rather than
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52 @code{@var{y} = inv (@var{A}) * @math{b}}.
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53
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54 If called with a sparse matrix, then in general @var{x} will be a full
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55 matrix requiring significantly more storage. Avoid forming the inverse of a
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56 sparse matrix if possible.
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57 @seealso{ldivide, rdivide}
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58 @end deftypefn */)
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59 {
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60 if (args.length () != 1)
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61 print_usage ();
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62
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63 octave_value arg = args(0);
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64
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65 if (arg.isempty ())
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66 return ovl (Matrix ());
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67
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68 if (arg.rows () != arg.columns ())
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69 err_square_matrix_required ("inverse", "A");
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70
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71 octave_value result;
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72 octave_idx_type info;
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73 double rcond = 0.0;
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74 float frcond = 0.0;
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75 bool isfloat = arg.is_single_type ();
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76
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77 if (arg.is_diag_matrix ())
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78 {
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79 rcond = 1.0;
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80 frcond = 1.0f;
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81 if (arg.iscomplex ())
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82 {
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83 if (isfloat)
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84 {
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85 result = arg.float_complex_diag_matrix_value ().inverse (info);
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86 if (nargout > 1)
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87 frcond = arg.float_complex_diag_matrix_value ().rcond ();
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88 }
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89 else
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90 {
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91 result = arg.complex_diag_matrix_value ().inverse (info);
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92 if (nargout > 1)
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93 rcond = arg.complex_diag_matrix_value ().rcond ();
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94 }
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95 }
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96 else
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97 {
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98 if (isfloat)
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99 {
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100 result = arg.float_diag_matrix_value ().inverse (info);
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101 if (nargout > 1)
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102 frcond = arg.float_diag_matrix_value ().rcond ();
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103 }
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104 else
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105 {
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106 result = arg.diag_matrix_value ().inverse (info);
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107 if (nargout > 1)
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108 rcond = arg.diag_matrix_value ().rcond ();
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109 }
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110 }
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111 }
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112 else if (arg.is_perm_matrix ())
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113 {
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114 rcond = 1.0;
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115 info = 0;
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116 result = arg.perm_matrix_value ().inverse ();
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117 }
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118 else if (isfloat)
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119 {
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120 if (arg.is_real_type ())
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121 {
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122 FloatMatrix m = arg.float_matrix_value ();
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123
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124 MatrixType mattyp = args(0).matrix_type ();
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125 result = m.inverse (mattyp, info, frcond, 1);
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126 args(0).matrix_type (mattyp);
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127 }
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128 else if (arg.iscomplex ())
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129 {
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130 FloatComplexMatrix m = arg.float_complex_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 }
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137 else
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138 {
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139 if (arg.is_real_type ())
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140 {
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141 if (arg.is_sparse_type ())
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142 {
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143 SparseMatrix m = arg.sparse_matrix_value ();
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144
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145 MatrixType mattyp = args(0).matrix_type ();
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146 result = m.inverse (mattyp, info, rcond, 1);
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147 args(0).matrix_type (mattyp);
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148 }
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149 else
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150 {
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151 Matrix m = arg.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 }
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158 else if (arg.iscomplex ())
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159 {
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160 if (arg.is_sparse_type ())
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161 {
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162 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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163
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164 MatrixType mattyp = args(0).matrix_type ();
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165 result = m.inverse (mattyp, info, rcond, 1);
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166 args(0).matrix_type (mattyp);
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167 }
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168 else
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169 {
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170 ComplexMatrix m = arg.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 }
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177 else
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178 err_wrong_type_arg ("inv", arg);
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179 }
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180
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181 octave_value_list retval (nargout > 1 ? 2 : 1);
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182
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183 retval(0) = result;
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184 if (nargout > 1)
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185 retval(1) = (isfloat ? octave_value (frcond) : octave_value (rcond));
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186
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187 bool rcond_plus_one_eq_one = false;
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188
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189 if (isfloat)
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190 {
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191 volatile float xrcond = frcond;
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192 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F;
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193 }
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194 else
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195 {
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196 volatile double xrcond = rcond;
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197 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0;
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198 }
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199
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200 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one))
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201 octave::warn_singular_matrix (isfloat ? frcond : rcond);
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202
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203 return retval;
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204 }
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205
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206 /*
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207 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps))
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208 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]), sqrt (eps ("single")))
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209
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210 ## Test special inputs
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211 %!assert (inv (zeros (2,0)), [])
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212 %!warning <matrix singular> assert (inv (Inf), 0)
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213 %!warning <matrix singular> assert (inv (-Inf), -0)
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214 %!warning <matrix singular> assert (inv (single (Inf)), single (0))
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215 %!warning <matrix singular> assert (inv (complex (1, Inf)), 0)
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216 %!warning <matrix singular> assert (inv (single (complex (1,Inf))), single (0))
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217
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218 %!test
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219 %! [xinv, rcond] = inv (single ([1,2;3,4]));
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220 %! assert (isa (xinv, "single"));
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221 %! assert (isa (rcond, "single"));
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222
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223 %!test
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224 %! [xinv, rcond] = inv ([1,2;3,4]);
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225 %! assert (isa (xinv, "double"));
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226 %! assert (isa (rcond, "double"));
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227
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228 %!error inv ()
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229 %!error inv ([1, 2; 3, 4], 2)
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230 %!error <must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
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231
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232 */
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233
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234 DEFALIAS (inverse, inv);