Mercurial > octave
annotate libinterp/corefcn/inv.cc @ 20940:48b2ad5ee801
maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity.
* libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in
compilation and includes "ovl.h" instead. Original file renamed to
libinterp/octave-value/ovl.h
* libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc.
* oct-obj.cc (ovl ()): Added new function to return empty octave_value_list.
* libinterp/corefcn/module.mk: Remove oct-obj.cc from build system.
* libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system.
* mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc,
__lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc,
betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc,
error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc,
input.h, inv.cc, kron.cc, load-save.cc, lookup.cc, ls-hdf5.cc, ls-mat-ascii.cc,
ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lsode.cc, lu.cc,
luinc.cc, max.cc, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h,
oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc,
quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc,
strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc,
audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc,
symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h,
ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc,
ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h,
ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc,
ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc,
ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc,
ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc,
ov-usr-fcn.h, ov.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc,
op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc,
op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc,
op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc,
op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-range.cc, op-s-cm.cc,
op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc,
op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc,
op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc,
op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc,
op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc,
parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc,
pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc,
pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc,
Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
author | Rik <rik@octave.org> |
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date | Fri, 18 Dec 2015 16:04:56 -0800 |
parents | 8da80da1ac37 |
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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" |
29 #include "gripes.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 octave_value_list (); |
2928 | 73 else if (arg_is_empty > 0) |
4233 | 74 return octave_value (Matrix ()); |
2928 | 75 |
76 if (nr != nc) | |
77 { | |
78 gripe_square_matrix_required ("inverse"); | |
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79 return octave_value_list (); |
2928 | 80 } |
81 | |
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82 octave_value result; |
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83 octave_idx_type info; |
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84 double rcond = 0.0; |
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85 float frcond = 0.0; |
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86 bool isfloat = arg.is_single_type (); |
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87 |
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88 if (arg.is_diag_matrix ()) |
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89 { |
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90 rcond = 1.0; |
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91 frcond = 1.0f; |
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92 if (arg.is_complex_type ()) |
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93 { |
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94 if (isfloat) |
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95 { |
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96 result = arg.float_complex_diag_matrix_value ().inverse (info); |
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97 if (nargout > 1) |
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98 frcond = arg.float_complex_diag_matrix_value ().rcond (); |
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99 } |
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100 else |
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101 { |
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102 result = arg.complex_diag_matrix_value ().inverse (info); |
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103 if (nargout > 1) |
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104 rcond = arg.complex_diag_matrix_value ().rcond (); |
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105 } |
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106 } |
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107 else |
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108 { |
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109 if (isfloat) |
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110 { |
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111 result = arg.float_diag_matrix_value ().inverse (info); |
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112 if (nargout > 1) |
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113 frcond = arg.float_diag_matrix_value ().rcond (); |
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114 } |
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115 else |
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116 { |
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117 result = arg.diag_matrix_value ().inverse (info); |
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118 if (nargout > 1) |
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119 rcond = arg.diag_matrix_value ().rcond (); |
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120 } |
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121 } |
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122 } |
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123 else if (arg.is_perm_matrix ()) |
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124 { |
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125 rcond = 1.0; |
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126 info = 0; |
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127 result = arg.perm_matrix_value ().inverse (); |
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128 } |
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129 else if (isfloat) |
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131 if (arg.is_real_type ()) |
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132 { |
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133 FloatMatrix m = arg.float_matrix_value (); |
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134 |
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135 MatrixType mattyp = args(0).matrix_type (); |
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136 result = m.inverse (mattyp, info, frcond, 1); |
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137 args(0).matrix_type (mattyp); |
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138 } |
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139 else if (arg.is_complex_type ()) |
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140 { |
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141 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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142 |
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143 MatrixType mattyp = args(0).matrix_type (); |
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144 result = m.inverse (mattyp, info, frcond, 1); |
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145 args(0).matrix_type (mattyp); |
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146 } |
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148 else |
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150 if (arg.is_real_type ()) |
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151 { |
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152 if (arg.is_sparse_type ()) |
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153 { |
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154 SparseMatrix m = arg.sparse_matrix_value (); |
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155 |
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156 MatrixType mattyp = args(0).matrix_type (); |
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157 result = m.inverse (mattyp, info, rcond, 1); |
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158 args(0).matrix_type (mattyp); |
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159 } |
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160 else |
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161 { |
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162 Matrix m = arg.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 } |
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169 else if (arg.is_complex_type ()) |
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170 { |
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171 if (arg.is_sparse_type ()) |
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172 { |
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173 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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174 |
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175 MatrixType mattyp = args(0).matrix_type (); |
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176 result = m.inverse (mattyp, info, rcond, 1); |
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177 args(0).matrix_type (mattyp); |
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178 } |
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179 else |
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180 { |
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181 ComplexMatrix m = arg.complex_matrix_value (); |
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182 |
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183 MatrixType mattyp = args(0).matrix_type (); |
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184 result = m.inverse (mattyp, info, rcond, 1); |
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185 args(0).matrix_type (mattyp); |
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186 } |
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187 } |
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188 else |
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189 gripe_wrong_type_arg ("inv", arg); |
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191 |
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192 octave_value_list retval (nargout > 1 ? 2 : 1); |
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193 |
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194 retval(0) = result; |
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195 if (nargout > 1) |
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196 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond); |
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197 |
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198 bool rcond_plus_one_eq_one = false; |
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199 |
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200 if (isfloat) |
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201 { |
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202 volatile float xrcond = frcond; |
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203 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F; |
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204 } |
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205 else |
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206 { |
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207 volatile double xrcond = rcond; |
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208 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0; |
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209 } |
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210 |
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211 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one)) |
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212 gripe_singular_matrix (isfloat ? frcond : rcond); |
2928 | 213 |
214 return retval; | |
215 } | |
216 | |
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217 /* |
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218 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], sqrt (eps)) |
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219 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]), sqrt (eps ("single"))) |
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220 |
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221 %!error inv () |
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222 %!error inv ([1, 2; 3, 4], 2) |
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223 %!error <argument must be a square matrix> inv ([1, 2; 3, 4; 5, 6]) |
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224 |
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225 %!test |
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226 %! [xinv, rcond] = inv (single ([1,2;3,4])); |
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227 %! assert (isa (xinv, 'single')); |
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228 %! assert (isa (rcond, 'single')); |
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229 |
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230 %!test |
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231 %! [xinv, rcond] = inv ([1,2;3,4]); |
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232 %! assert (isa (xinv, 'double')); |
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233 %! assert (isa (rcond, 'double')); |
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234 */ |
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235 |
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236 // FIXME: this should really be done with an alias, but |
2928 | 237 // alias_builtin() won't do the right thing if we are actually using |
238 // dynamic linking. | |
239 | |
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240 DEFUN (inverse, args, nargout, |
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241 "-*- texinfo -*-\n\ |
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242 @deftypefn {} {@var{x} =} inverse (@var{A})\n\ |
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243 @deftypefnx {} {[@var{x}, @var{rcond}] =} inverse (@var{A})\n\ |
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244 Compute the inverse of the square matrix @var{A}.\n\ |
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245 \n\ |
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246 This is an alias for @code{inv}.\n\ |
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247 @seealso{inv}\n\ |
3458 | 248 @end deftypefn") |
2928 | 249 { |
250 return Finv (args, nargout); | |
251 } |