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annotate libinterp/corefcn/inv.cc @ 21100:e39e05d90788

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Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. * libinterp/corefcn/errwarn.h, libinterp/corefcn/errwarn.cc: New header and .cc file with common errors and warnings for libinterp. * libinterp/corefcn/module.mk: Add errwarn.h, errwarn.cc to build system. * liboctave/util/lo-array-errwarn.h, liboctave/util/lo-array-errwarn.cc: New header and .cc file with common errors and warnings for liboctave. * liboctave/util/module.mk: Add lo-array-errwarn.h, lo-array-errwarn.cc to build system. * lo-array-gripes.h: #include "lo-array-errwarn.h" for access to class index_exception. Remove const char *error_id_XXX prototypes. * lo-array-gripes.cc: Remove const char *error_id_XXX initializations. Remove index_exception method definitions. * Cell.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, betainc.cc, cellfun.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, det.cc, dirfns.cc, eig.cc, fft.cc, fft2.cc, fftn.cc, find.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, graphics.in.h, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, jit-typeinfo.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, mgorth.cc, oct-hist.cc, oct-procbuf.cc, oct-stream.cc, oct.h, pager.cc, pinv.cc, pr-output.cc, quad.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, syscalls.cc, typecast.cc, utils.cc, variables.cc, xdiv.cc, xnorm.cc, xpow.cc, __eigs__.cc, __glpk__.cc, __magick_read__.cc, __osmesa_print__.cc, audiodevinfo.cc, audioread.cc, chol.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc, ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc, ov-class.cc, ov-complex.cc, ov-complex.h, ov-cs-list.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-float.cc, ov-float.h, ov-flt-complex.cc, ov-flt-complex.h, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-intx.h, ov-mex-fcn.cc, ov-perm.cc, ov-range.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-scalar.h, ov-str-mat.cc, ov-struct.cc, ov-type-conv.h, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov.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-dms-template.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-int.h, 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, ops.h, lex.ll, pt-assign.cc, pt-eval.cc, pt-idx.cc, pt-loop.cc, pt-mat.cc, pt-stmt.cc, Array-util.cc, Array-util.h, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MDiagArray2.cc, MSparse.cc, PermMatrix.cc, Range.cc, Sparse.cc, dColVector.cc, dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, idx-vector.cc, CmplxGEPBAL.cc, dbleGEPBAL.cc, fCmplxGEPBAL.cc, floatGEPBAL.cc, Sparse-diag-op-defs.h, Sparse-op-defs.h, Sparse-perm-op-defs.h, mx-inlines.cc, mx-op-defs.h, oct-binmap.h: Replace 'include "gripes.h"' with 'include "errwarn.h". Change all gripe_XXX to err_XXX or warn_XXX or errwarn_XXX.
author Rik <rik@octave.org>
date Mon, 18 Jan 2016 18:28:06 -0800
parents 6176560b03d9
children 3d0d84305600
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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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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 "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 #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 ovl ();
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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 err_square_matrix_required ("inverse");
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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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127 {
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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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144 }
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145 else
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146 {
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147 if (arg.is_real_type ())
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148 {
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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);
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187 }
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188
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8da80da1ac37 maint: Use ovl() more places in the code.
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diff changeset
189 octave_value_list retval (nargout > 1 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
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190
8da80da1ac37 maint: Use ovl() more places in the code.
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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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diff changeset
209 errwarn_singular_matrix (isfloat ? frcond : rcond);
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210
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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211 return retval;
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212 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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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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diff changeset
218 %!error inv ()
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219 %!error inv ([1, 2; 3, 4], 2)
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220 %!error <argument 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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diff changeset
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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diff changeset
231 */
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232
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diff changeset
233 // FIXME: this should really be done with an alias, but
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234 // alias_builtin() won't do the right thing if we are actually using
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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diff changeset
235 // dynamic linking.
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diff changeset
236
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diff changeset
237 DEFUN (inverse, args, nargout,
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diff changeset
238 "-*- texinfo -*-\n\
20853
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diff changeset
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\
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245 @end deftypefn")
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246 {
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247 return Finv (args, nargout);
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248 }