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>
date Fri, 18 Dec 2015 16:04:56 -0800
parents 8da80da1ac37
children a4f5da7c5463
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1 /*
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2
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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
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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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 "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 #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 {} {@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\
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59 @end deftypefn")
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60 {
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61 if (args.length () != 1)
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62 print_usage ();
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63
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64 octave_value arg = args(0);
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65
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66 octave_idx_type nr = arg.rows ();
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67 octave_idx_type nc = arg.columns ();
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68
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69 int arg_is_empty = empty_arg ("inverse", nr, nc);
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70
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71 if (arg_is_empty < 0)
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72 return octave_value_list ();
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73 else if (arg_is_empty > 0)
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74 return octave_value (Matrix ());
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75
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76 if (nr != nc)
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77 {
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78 gripe_square_matrix_required ("inverse");
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79 return octave_value_list ();
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80 }
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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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130 {
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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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147 }
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148 else
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149 {
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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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190 }
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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);
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213
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214 return retval;
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215 }
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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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diff changeset
234 */
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235
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236 // FIXME: this should really be done with an alias, but
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237 // alias_builtin() won't do the right thing if we are actually using
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238 // dynamic linking.
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diff changeset
239
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240 DEFUN (inverse, args, nargout,
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diff changeset
241 "-*- texinfo -*-\n\
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diff changeset
242 @deftypefn {} {@var{x} =} inverse (@var{A})\n\
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diff changeset
243 @deftypefnx {} {[@var{x}, @var{rcond}] =} inverse (@var{A})\n\
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diff changeset
244 Compute the inverse of the square matrix @var{A}.\n\
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diff changeset
245 \n\
39ca02387a32 Improve docstrings for a number of functions.
Rik <octave@nomad.inbox5.com>
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246 This is an alias for @code{inv}.\n\
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01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
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247 @seealso{inv}\n\
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d25bc039237b [project @ 2000-01-19 09:36:14 by jwe]
jwe
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248 @end deftypefn")
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295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
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249 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
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250 return Finv (args, nargout);
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
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251 }