annotate libinterp/corefcn/inv.cc @ 31605:e88a07dec498 stable

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, 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-fcdm-fcdm.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-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-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.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, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author Rik <rik@octave.org>
date Thu, 01 Dec 2022 14:23:45 -0800
parents 7802c652081f
children aac27ad79be6
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "defun.h"
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31 #include "error.h"
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32 #include "errwarn.h"
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33 #include "ovl.h"
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34 #include "ops.h"
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35 #include "ov-re-diag.h"
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36 #include "ov-cx-diag.h"
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37 #include "ov-flt-re-diag.h"
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38 #include "ov-flt-cx-diag.h"
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39 #include "ov-perm.h"
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40
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41 OCTAVE_BEGIN_NAMESPACE(octave)
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42
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43 DEFUN (inv, args, nargout,
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44 doc: /* -*- texinfo -*-
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45 @deftypefn {} {@var{x} =} inv (@var{A})
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46 @deftypefnx {} {[@var{x}, @var{rcond}] =} inv (@var{A})
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47 @deftypefnx {} {[@dots{}] =} inverse (@dots{})
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48 Compute the inverse of the square matrix @var{A}.
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49
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50 Return an estimate of the reciprocal condition number if requested,
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51 otherwise warn of an ill-conditioned matrix if the reciprocal condition
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52 number is small.
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53
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54 In general it is best to avoid calculating the inverse of a matrix directly.
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55 For example, it is both faster and more accurate to solve systems of
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56 equations (@var{A}*@math{x} = @math{b}) with
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57 @code{@var{y} = @var{A} \ @math{b}}, rather than
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58 @code{@var{y} = inv (@var{A}) * @math{b}}.
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59
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60 If called with a sparse matrix, then in general @var{x} will be a full
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61 matrix requiring significantly more storage. Avoid forming the inverse of a
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62 sparse matrix if possible.
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63
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64 @code{inverse} is an alias and may be used identically in place of @code{inv}.
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65 @seealso{ldivide, rdivide, pinv}
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66 @end deftypefn */)
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67 {
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68 if (args.length () != 1)
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69 print_usage ();
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70
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71 octave_value arg = args(0);
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72
30574
33f77d94b4c9 inv: disallow logical inputs for Matlab compatibility (bug #61728)
Rik <rik@octave.org>
parents: 30573
diff changeset
73 if (! arg.isnumeric ())
30573
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
74 err_wrong_type_arg ("inv", arg);
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
75
23577
80c42f4cca13 maint: Deprecate is_empty and replace with isempty.
Rik <rik@octave.org>
parents: 23453
diff changeset
76 if (arg.isempty ())
21127
df7891224709 maint: Use "return ovl (...)" in DEFUN macros.
Rik <rik@octave.org>
parents: 21112
diff changeset
77 return ovl (Matrix ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
78
22372
0c0de2205d38 utils.h: deprecated out of date arg_is_empty function.
Carnë Draug <carandraug@octave.org>
parents: 22327
diff changeset
79 if (arg.rows () != arg.columns ())
30573
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
80 err_square_matrix_required ("inv", "A");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
81
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
82 octave_value result;
31384
7802c652081f inv: Initialize variable to silence valgrind warning (bug #63300).
Markus Mützel <markus.muetzel@gmx.de>
parents: 31319
diff changeset
83 octave_idx_type info = 0;
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
84 double rcond = 0.0;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
85 float frcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
86 bool isfloat = arg.is_single_type ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
87
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
88 if (arg.is_diag_matrix ())
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
89 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
90 rcond = 1.0;
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
91 frcond = 1.0f;
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
92 if (arg.iscomplex ())
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
93 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
94 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
95 {
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
96 result = arg.float_complex_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
97 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
98 frcond = 0.0f;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
99 else if (nargout > 1)
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
100 frcond = arg.float_complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
101 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
102 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
103 {
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
104 result = arg.complex_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
105 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
106 rcond = 0.0;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
107 else if (nargout > 1)
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
108 rcond = arg.complex_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
109 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
110 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
111 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
112 {
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
113 if (isfloat)
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
114 {
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
115 result = arg.float_diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
116 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
117 frcond = 0.0f;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
118 else if (nargout > 1)
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
119 frcond = arg.float_diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
120 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
121 else
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
122 {
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
123 result = arg.diag_matrix_value ().inverse (info);
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
124 if (info == -1)
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
125 rcond = 0.0;
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
126 else if (nargout > 1)
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
127 rcond = arg.diag_matrix_value ().rcond ();
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
128 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
129 }
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
130 }
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
131 else if (arg.is_perm_matrix ())
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
132 {
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
133 info = 0;
8371
c3f7e2549abb make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 8366
diff changeset
134 rcond = 1.0;
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
135 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
136 }
8366
8b1a2555c4e2 implement diagonal matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents: 7911
diff changeset
137 else if (isfloat)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
138 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
139 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
140 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
141 FloatMatrix m = arg.float_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
142
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
143 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
144 result = m.inverse (mattyp, info, frcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
145 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
146 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
147 else if (arg.iscomplex ())
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 FloatComplexMatrix m = arg.float_complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
150
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
151 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
152 result = m.inverse (mattyp, info, frcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
153 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
154 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
155 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7650
diff changeset
156 else
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
157 {
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
158 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
159 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23582
diff changeset
160 if (arg.issparse ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
161 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
162 SparseMatrix m = arg.sparse_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
163
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
164 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
165 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
166 args(0).matrix_type (mattyp);
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 else
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 Matrix m = arg.matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
171
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
172 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
173 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
174 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
175 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
176 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
177 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
178 {
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23582
diff changeset
179 if (arg.issparse ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
180 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
181 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
182
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
183 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
184 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
185 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
186 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
187 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
188 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
189 ComplexMatrix m = arg.complex_matrix_value ();
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
190
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
191 MatrixType mattyp = args(0).matrix_type ();
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
192 result = m.inverse (mattyp, info, rcond, true, true);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
193 args(0).matrix_type (mattyp);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
194 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
195 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
196 else
30573
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
197 // Shouldn't get here since we checked for suitable arg earlier.
3b2558676d0e inv: Improve input validation (bug #61728).
Antonius Burgers <arburgers@gmail.com>
parents: 30565
diff changeset
198 // Maybe for some user-defined classes?
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 21024
diff changeset
199 err_wrong_type_arg ("inv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
200 }
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
201
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
202 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
203
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
204 retval(0) = result;
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
205 if (nargout > 1)
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23220
diff changeset
206 retval(1) = (isfloat ? octave_value (frcond) : octave_value (rcond));
7515
f3c00dc0912b Eliminate the rest of the dispatched sparse functions
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
207
30554
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
208 if (nargout < 2)
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
209 {
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
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210 bool is_singular;
18243
36057e2411f8 test float rcond using float arithmetic in inv function (bug #41065)
John W. Eaton <jwe@octave.org>
parents: 17787
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211
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212 if (isfloat)
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213 is_singular = ((frcond + 1.0f == 1.0f) || octave::math::isnan (frcond))
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214 && ! arg.is_scalar_type ();
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215 else
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216 is_singular = ((rcond + 1.0 == 1.0) || octave::math::isnan (rcond))
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217 && ! arg.is_scalar_type ();
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218
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219 if (info == -1 || is_singular)
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220 warn_singular_matrix (isfloat ? frcond : rcond);
20678
4b00afb5e9c3 eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
221 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
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222
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
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223 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
224 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
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225
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87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
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226 /*
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227 ## Basic test for double/single matrices
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228 %!assert (inv ([1, 2; 3, 4]), [-2, 1; 1.5, -0.5], 5*eps)
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229 %!test
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230 %! [xinv, rcond] = inv ([1,2;3,4]);
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231 %! assert (xinv, [-2, 1; 1.5, -0.5], 5*eps);
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232 %! assert (isa (rcond, "double"));
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233
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
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234 %!assert (inv (single ([1, 2; 3, 4])), single ([-2, 1; 1.5, -0.5]),
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235 %! 5*eps ("single"))
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236 %!test
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237 %! [xinv, rcond] = inv (single ([1,2;3,4]));
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238 %! assert (xinv, single ([-2, 1; 1.5, -0.5]), 5*eps ("single"));
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239 %! assert (isa (rcond, "single"));
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240
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
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241 ## Basic test for integer inputs
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
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242 %!assert (inv (int32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
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243 %!assert (inv (uint32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
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244 %!assert (inv (int64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
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245 %!assert (inv (uint64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
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246
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247 ## Normal scalar cases
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248 %!assert (inv (2), 0.5)
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249 %!test
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250 %! [xinv, rcond] = inv (2);
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251 %! assert (xinv, 0.5);
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252 %! assert (rcond, 1);
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253 %!assert (inv (single (2)), single (0.5))
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254 %!test
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255 %! [xinv, rcond] = inv (single (2));
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256 %! assert (xinv, single (0.5));
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257 %! assert (rcond, single (1));
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258 %!assert (inv (complex (1, -1)), 0.5+0.5i)
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259 %!test
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260 %! [xinv, rcond] = inv (complex (1, -1));
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261 %! assert (xinv, 0.5+0.5i);
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262 %! assert (rcond, 1);
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263 %!assert (inv (complex (single (1), -1)), single (0.5+0.5i))
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264 %!test
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265 %! [xinv, rcond] = inv (complex (single (1), -1));
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266 %! assert (xinv, single (0.5+0.5i));
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267 %! assert (rcond, single (1));
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87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
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268
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
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diff changeset
269 ## Test special inputs
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270 ## Empty matrix
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
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271 %!assert (inv (zeros (2,0)), [])
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272
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273 ## Scalar "0"
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274 %!assert (inv (0), Inf)
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275 %!test
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276 %! [xinv, rcond] = inv (0);
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277 %! assert (xinv, Inf);
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278 %! assert (rcond, 0);
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279 %!assert (inv (single (0)), single (Inf))
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280 %!test
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281 %! [xinv, rcond] = inv (single (0));
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282 %! assert (xinv, single (Inf));
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283 %! assert (rcond, single (0));
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284 %!assert (inv (complex (0, 0)), Inf)
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Rik <rik@octave.org>
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diff changeset
285 %!test
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286 %! [xinv, rcond] = inv (complex (0, 0));
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287 %! assert (xinv, Inf);
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288 %! assert (rcond, 0);
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289 %!assert (inv (complex (single (0), 0)), single (Inf))
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290 %!test
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291 %! [xinv, rcond] = inv (complex (single (0), 0));
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292 %! assert (xinv, single (Inf));
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293 %! assert (rcond, single (0));
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
parents: 29961
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294 ## NOTE: Matlab returns +Inf for -0 input, but it returns -Inf for 1/-0.
30554
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295 ## These should be the same, and in Octave they are.
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296 %!assert (inv (-0), -Inf)
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Rik <rik@octave.org>
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diff changeset
297 %!test
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298 %! [xinv, rcond] = inv (-0);
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299 %! assert (xinv, -Inf);
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300 %! assert (rcond, 0);
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301
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302 ## Scalar "Inf"
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303 %!assert (inv (Inf), 0)
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Rik <rik@octave.org>
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304 %!test
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Rik <rik@octave.org>
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305 %! [xinv, rcond] = inv (Inf);
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Rik <rik@octave.org>
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306 %! assert (xinv, 0);
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307 %! assert (rcond, 0);
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308 %!assert (inv (single (Inf)), single (0))
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Rik <rik@octave.org>
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309 %!test
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310 %! [xinv, rcond] = inv (single (Inf));
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311 %! assert (xinv, single (0));
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312 %! assert (rcond, single (0));
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Rik <rik@octave.org>
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313 %!assert (inv (complex (1, Inf)), 0)
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Rik <rik@octave.org>
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314 %!test
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315 %! [xinv, rcond] = inv (complex (1, Inf));
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316 %! assert (xinv, 0);
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317 %! assert (rcond, 0);
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318 %!assert (inv (complex (single (1), Inf)), single (0))
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319 %!test
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320 %! [xinv, rcond] = inv (complex (single (1), Inf));
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321 %! assert (xinv, single (0));
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Rik <rik@octave.org>
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322 %! assert (rcond, single (0));
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Rik <rik@octave.org>
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diff changeset
323
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diff changeset
324 ## Scalar "NaN"
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325 %!assert (inv (NaN), NaN)
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Rik <rik@octave.org>
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diff changeset
326 %!test
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Rik <rik@octave.org>
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327 %! [xinv, rcond] = inv (NaN);
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Rik <rik@octave.org>
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328 %! assert (xinv, NaN);
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Rik <rik@octave.org>
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329 %! assert (rcond, NaN);
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Rik <rik@octave.org>
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330 %!assert (inv (single (NaN)), single (NaN))
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Rik <rik@octave.org>
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diff changeset
331 %!test
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332 %! [xinv, rcond] = inv (single (NaN));
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Rik <rik@octave.org>
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333 %! assert (xinv, single (NaN));
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Rik <rik@octave.org>
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diff changeset
334 %! assert (rcond, single (NaN));
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Rik <rik@octave.org>
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diff changeset
335 %!assert (inv (complex (1, NaN)), complex (NaN, NaN))
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Rik <rik@octave.org>
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diff changeset
336 %!test
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Rik <rik@octave.org>
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337 %! [xinv, rcond] = inv (complex (1, NaN));
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Rik <rik@octave.org>
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diff changeset
338 %! assert (xinv, complex (NaN, NaN));
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Rik <rik@octave.org>
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diff changeset
339 %! assert (rcond, NaN);
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Rik <rik@octave.org>
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340 %!assert (inv (complex (single (1), NaN)), complex (single (NaN), NaN))
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Rik <rik@octave.org>
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diff changeset
341 %!test
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Rik <rik@octave.org>
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diff changeset
342 %! [xinv, rcond] = inv (complex (single (1), NaN));
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Rik <rik@octave.org>
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diff changeset
343 %! assert (xinv, complex (single (NaN), NaN));
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Rik <rik@octave.org>
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diff changeset
344 %! assert (rcond, single (NaN));
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Rik <rik@octave.org>
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345
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Rik <rik@octave.org>
parents: 30313
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346 ## Matrix special values
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Rik <rik@octave.org>
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347 ## Matrix of all zeroes
30313
98400baa509f Return Inf for inv(0) for compatibility with division operator and Matlab (bug #52285).
Rik <rik@octave.org>
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348 %!warning <matrix singular> assert (inv (zeros (2,2)), Inf (2,2))
30554
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349 %!test
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Rik <rik@octave.org>
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350 %! [xinv, rcond] = inv (zeros (2,2));
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351 %! assert (xinv, Inf (2,2));
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Rik <rik@octave.org>
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352 %! assert (rcond, 0);
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Rik <rik@octave.org>
parents: 30313
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353 ## Matrix of all Inf
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Rik <rik@octave.org>
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354 %!warning <rcond = > assert (inv (Inf (2,2)), NaN (2,2))
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
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355 %!test
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356 %! [xinv, rcond] = inv (Inf (2,2));
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Rik <rik@octave.org>
parents: 30313
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357 %! assert (xinv, NaN (2,2));
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Rik <rik@octave.org>
parents: 30313
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358 %! assert (rcond, NaN);
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Rik <rik@octave.org>
parents: 30313
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359 ## Matrix of all NaN
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Rik <rik@octave.org>
parents: 30313
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360 %!warning <rcond = > assert (inv (NaN (2,2)), NaN (2,2))
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
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361 %!test
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Rik <rik@octave.org>
parents: 30313
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362 %! [xinv, rcond] = inv (NaN (2,2));
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Rik <rik@octave.org>
parents: 30313
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363 %! assert (xinv, NaN (2,2));
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Rik <rik@octave.org>
parents: 30313
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364 %! assert (rcond, NaN);
22849
1d242ae72240 Return 0 for special case of scalar Inf input to inverse (bug #49690).
Rik <rik@octave.org>
parents: 22755
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365
30554
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Rik <rik@octave.org>
parents: 30313
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366 ## Special diagonal matrices
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Rik <rik@octave.org>
parents: 30313
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367 %!test
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Rik <rik@octave.org>
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368 %! fail ("A = inv (diag ([1, 0, 1]))", "warning", "matrix singular");
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Rik <rik@octave.org>
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369 %! assert (A, diag ([Inf, Inf, Inf]));
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Rik <rik@octave.org>
parents: 30313
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370
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
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371 ## Special sparse matrices
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
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372 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
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373 %! fail ("A = inv (sparse ([1, 2;0 ,0]))", "warning", "matrix singular");
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marco.caliari@univr.it
parents: 26376
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374 %! assert (A, sparse ([Inf, Inf; 0, 0]));
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marco.caliari@univr.it
parents: 26376
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375
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
376 %!testif HAVE_UMFPACK <*56232>
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
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377 %! fail ("A = inv (sparse ([1i, 2;0 ,0]))", "warning", "matrix singular");
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marco.caliari@univr.it
parents: 26376
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378 %! assert (A, sparse ([Inf, Inf; 0, 0]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
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379
27122
d0d176ac575d make new tests for inv of singular sparse matrices conditional on HAVE_UMFPACK
John W. Eaton <jwe@octave.org>
parents: 27093
diff changeset
380 %!testif HAVE_UMFPACK <*56232>
30346
91c6288781ba maint: Shorten some long lines in libinterp to <= 80 characters (bug #57599)
Rik <rik@octave.org>
parents: 30313
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381 %! fail ("A = inv (sparse ([1, 0, 0; 0, 0, 0; 0, 0, 1]))",
91c6288781ba maint: Shorten some long lines in libinterp to <= 80 characters (bug #57599)
Rik <rik@octave.org>
parents: 30313
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382 %! "warning", "matrix singular");
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
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383 %! assert (A, sparse ([Inf, 0, 0; 0, 0, 0; 0, 0, Inf]));
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
384
30590
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
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385 %!error <Invalid call> inv ()
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
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386 %!error <Invalid call> inv ([1, 2; 3, 4], 2)
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
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387 %!error <wrong type argument> inv ("Hello World")
50bf281760e0 inv: Add BIST tests for new input validation in cset 3b2558676d0e (bug #61728)
Rik <rik@octave.org>
parents: 30574
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388 %!error <wrong type argument> inv ({1})
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30590
diff changeset
389 %!error <wrong type argument> inv (true)
21110
3d0d84305600 Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents: 21100
diff changeset
390 %!error <must be a square matrix> inv ([1, 2; 3, 4; 5, 6])
27093
6e18f0ce268c Inverse of a sparse/diagonal singular matrix should be a sparse/diagonal matrix of Infs.
marco.caliari@univr.it
parents: 26376
diff changeset
391 %!error <inverse of the null matrix not defined> inv (sparse (2, 2, 0))
30554
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Rik <rik@octave.org>
parents: 30313
diff changeset
392 %!error <inverse of the null matrix not defined> inv (diag ([0, 0]))
117ebe363f56 Fix handling of scalar exceptional values in inv() (bug #61689)
Rik <rik@octave.org>
parents: 30313
diff changeset
393 %!error <inverse of the null matrix not defined> inv (diag (complex ([0, 0])))
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
394 */
7814
87865ed7405f Second set of single precision test code and fix of resulting bugs
David Bateman <dbateman@free.fr>
parents: 7789
diff changeset
395
23453
2eb7dc15f9fa use DEFALIAS to define inverse
John W. Eaton <jwe@octave.org>
parents: 23450
diff changeset
396 DEFALIAS (inverse, inv);
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29359
diff changeset
397
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 31384
diff changeset
398 OCTAVE_END_NAMESPACE(octave)