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annotate libinterp/corefcn/inv.cc @ 21301:40de9f8f23a6

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Use '#include "config.h"' rather than <config.h>. * mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc, ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc, EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc, ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc, ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc, PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc, SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc, ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc, annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc, dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc, find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc, file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc, marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc, octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc, octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc, settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc, thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc, build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c, colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc, jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc, mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc, oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc, mkbuiltins, mkops, 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-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc, ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.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-dm-template.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-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-pm-template.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, lex.ll, oct-parse.in.yy, pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc, pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc, pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc, pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc, pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc, token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc, Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc, Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc, Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc, MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc, MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc, Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc, boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc, dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc, dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc, int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc, uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c, f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc, DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc, lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc, qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc, sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc, mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc, oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc, oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c, glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c, lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc, oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c, oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc, sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc, display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc, octave-config.in.cc: Use '#include "config.h"' rather than <config.h>.
author Rik <rik@octave.org>
date Thu, 18 Feb 2016 13:34:50 -0800
parents fcac5dbbf9ed
children aba2e6293dd8
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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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69 int arg_is_empty = empty_arg ("inverse", nr, nc);
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71 if (arg_is_empty < 0)
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a4f5da7c5463 maint: Replace "octave_value_list ()" with "ovl ()".
Rik <rik@octave.org>
parents: 20940
diff changeset
72 return ovl ();
2928
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jwe
parents:
diff changeset
73 else if (arg_is_empty > 0)
21127
df7891224709 maint: Use "return ovl (...)" in DEFUN macros.
Rik <rik@octave.org>
parents: 21112
diff changeset
74 return ovl (Matrix ());
2928
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jwe
parents:
diff changeset
75
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
76 if (nr != nc)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21100
diff changeset
77 err_square_matrix_required ("inverse", "A");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
78
7515
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
79 octave_value result;
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
80 octave_idx_type info;
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
81 double rcond = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
82 float frcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
83 bool isfloat = arg.is_single_type ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
84
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
85 if (arg.is_diag_matrix ())
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
86 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
87 rcond = 1.0;
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
88 frcond = 1.0f;
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
89 if (arg.is_complex_type ())
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
90 {
8b1a2555c4e2 implement diagonal matrix objects
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parents: 7911
diff changeset
91 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
92 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
93 result = arg.float_complex_diag_matrix_value ().inverse (info);
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
94 if (nargout > 1)
8916
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Jaroslav Hajek <highegg@gmail.com>
parents: 8371
diff changeset
95 frcond = arg.float_complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
96 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
97 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
98 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
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parents: 8371
diff changeset
99 result = arg.complex_diag_matrix_value ().inverse (info);
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
100 if (nargout > 1)
8916
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parents: 8371
diff changeset
101 rcond = arg.complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
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diff changeset
102 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
103 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
104 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
105 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
106 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
107 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
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parents: 8371
diff changeset
108 result = arg.float_diag_matrix_value ().inverse (info);
8371
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parents: 8366
diff changeset
109 if (nargout > 1)
8916
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parents: 8371
diff changeset
110 frcond = arg.float_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
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diff changeset
111 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
112 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
113 {
8916
a2878ba31a9e add diag & perm matrix query methods to octave_value
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parents: 8371
diff changeset
114 result = arg.diag_matrix_value ().inverse (info);
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
115 if (nargout > 1)
8916
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parents: 8371
diff changeset
116 rcond = arg.diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
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diff changeset
117 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
118 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
119 }
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
120 else if (arg.is_perm_matrix ())
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
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parents: 8366
diff changeset
121 {
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
122 rcond = 1.0;
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
123 info = 0;
8960
93f18f166aba remove float perm matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
124 result = arg.perm_matrix_value ().inverse ();
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
125 }
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
126 else if (isfloat)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
127 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
128 if (arg.is_real_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
129 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
130 FloatMatrix m = arg.float_matrix_value ();
20678
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diff changeset
131
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
132 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
133 result = m.inverse (mattyp, info, frcond, 1);
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diff changeset
134 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
135 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
136 else if (arg.is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
137 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
138 FloatComplexMatrix m = arg.float_complex_matrix_value ();
20678
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diff changeset
139
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
140 MatrixType mattyp = args(0).matrix_type ();
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
141 result = m.inverse (mattyp, info, frcond, 1);
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
142 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
143 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
144 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
145 else
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
146 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
147 if (arg.is_real_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
148 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
149 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
150 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
151 SparseMatrix m = arg.sparse_matrix_value ();
20678
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diff changeset
152
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
153 MatrixType mattyp = args(0).matrix_type ();
4b00afb5e9c3 eliminate more uses of error_state
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diff changeset
154 result = m.inverse (mattyp, info, rcond, 1);
4b00afb5e9c3 eliminate more uses of error_state
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parents: 20172
diff changeset
155 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
156 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
157 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
158 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
159 Matrix m = arg.matrix_value ();
20678
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diff changeset
160
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
161 MatrixType mattyp = args(0).matrix_type ();
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parents: 20172
diff changeset
162 result = m.inverse (mattyp, info, rcond, 1);
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parents: 20172
diff changeset
163 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
164 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
165 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
166 else if (arg.is_complex_type ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
167 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
168 if (arg.is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
169 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
170 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
20678
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diff changeset
171
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parents: 20172
diff changeset
172 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
173 result = m.inverse (mattyp, info, rcond, 1);
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diff changeset
174 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
175 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
176 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
177 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
178 ComplexMatrix m = arg.complex_matrix_value ();
20678
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diff changeset
179
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diff changeset
180 MatrixType mattyp = args(0).matrix_type ();
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diff changeset
181 result = m.inverse (mattyp, info, rcond, 1);
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diff changeset
182 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
183 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9064
diff changeset
184 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
185 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 21024
diff changeset
186 err_wrong_type_arg ("inv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
187 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
188
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
189 octave_value_list retval (nargout > 1 ? 2 : 1);
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
190
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
191 retval(0) = result;
20678
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diff changeset
192 if (nargout > 1)
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diff changeset
193 retval(1) = isfloat ? octave_value (frcond) : octave_value (rcond);
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
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parents: 7017
diff changeset
194
20678
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diff changeset
195 bool rcond_plus_one_eq_one = false;
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
John W. Eaton <jwe@octave.org>
parents: 17787
diff changeset
196
20678
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diff changeset
197 if (isfloat)
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diff changeset
198 {
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diff changeset
199 volatile float xrcond = frcond;
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diff changeset
200 rcond_plus_one_eq_one = xrcond + 1.0F == 1.0F;
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diff changeset
201 }
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parents: 20172
diff changeset
202 else
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parents: 20172
diff changeset
203 {
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diff changeset
204 volatile double xrcond = rcond;
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diff changeset
205 rcond_plus_one_eq_one = xrcond + 1.0 == 1.0;
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diff changeset
206 }
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
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parents: 17787
diff changeset
207
20678
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diff changeset
208 if (nargout < 2 && (info == -1 || rcond_plus_one_eq_one))
21112
358aa7fcbd33 Rename errwarn_singular_matrix to warn_singular_matrix.
Rik <rik@octave.org>
parents: 21110
diff changeset
209 warn_singular_matrix (isfloat ? frcond : rcond);
2928
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jwe
parents:
diff changeset
210
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
211 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
212 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
213
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
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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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218 %!error inv ()
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219 %!error inv ([1, 2; 3, 4], 2)
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220 %!error <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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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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231 */
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232
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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
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235 // dynamic linking.
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236
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237 DEFUN (inverse, args, nargout,
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238 "-*- texinfo -*-\n\
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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 }