octave: libinterp/corefcn/eig.cc annotate

annotate libinterp/corefcn/eig.cc @ 21200:fcac5dbbf9ed

maint: Indent #ifdef blocks in libinterp. * builtins.h, 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, c-file-ptr-stream.h, cellfun.cc, colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defaults.in.h, defun-dld.h, defun.cc, defun.h, 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, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl2ps-print.cc, graphics.cc, graphics.in.h, gripes.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc, jit-util.cc, jit-util.h, 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-oct-text.h, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, luinc.cc, mappers.cc, matrix_type.cc, max.cc, mex.h, mexproto.h, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hdf5.h, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc, oct-strstrm.cc, 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, 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, sysdep.h, time.cc, toplev.cc, tril.cc, tsearch.cc, txt-eng-ft.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, xdiv.cc, 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, oct-qhull.h, qr.cc, symbfact.cc, symrcm.cc, oct-conf.in.cc, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc, ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc, ov-class.cc, ov-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, 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-colon.h, 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: Indent #ifdef blocks in libinterp.

author	Rik <rik@octave.org>
date	Fri, 05 Feb 2016 16:29:08 -0800
parents	228b65504557
children	40de9f8f23a6

rev	line source
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	1 /*
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	2
19697 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 18100 diff changeset	3 Copyright (C) 1996-2015 John W. Eaton
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	4
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	8 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	10 option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	11
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12 Octave is distributed in the hope that it will be useful, but WITHOUT
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	15 for more details.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	19 <http://www.gnu.org/licenses/>.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	20
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	21 */
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	22
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	23 #ifdef HAVE_CONFIG_H
21200 fcac5dbbf9ed maint: Indent #ifdef blocks in libinterp. Rik <rik@octave.org> parents: 21129 diff changeset	24 # include <config.h>
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	25 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	26
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	27 #include "EIG.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	28 #include "fEIG.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	30 #include "defun.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	31 #include "error.h"
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	32 #include "errwarn.h"
20940 48b2ad5ee801 maint: Rename oct-obj.[cc\|h] to ovl.[cc\|h] for clarity. Rik <rik@octave.org> parents: 20918 diff changeset	33 #include "ovl.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	34 #include "utils.h"
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	35
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	36 DEFUN (eig, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17744 diff changeset	37 "-- texinfo --\n\
20853 1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files. Rik <rik@octave.org> parents: 20802 diff changeset	38 @deftypefn {} {@var{lambda} =} eig (@var{A})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files. Rik <rik@octave.org> parents: 20802 diff changeset	39 @deftypefnx {} {@var{lambda} =} eig (@var{A}, @var{B})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files. Rik <rik@octave.org> parents: 20802 diff changeset	40 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A})\n\
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files. Rik <rik@octave.org> parents: 20802 diff changeset	41 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A}, @var{B})\n\
14885 cca0a52be4fa doc: corrected eig doc Ed Meyer <eem2314@gmail.com> parents: 14846 diff changeset	42 Compute the eigenvalues (and optionally the eigenvectors) of a matrix\n\
cca0a52be4fa doc: corrected eig doc Ed Meyer <eem2314@gmail.com> parents: 14846 diff changeset	43 or a pair of matrices\n\
12584 7ef7e20057fa Improve documentation strings in Linear Algebra chapter. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	44 \n\
14885 cca0a52be4fa doc: corrected eig doc Ed Meyer <eem2314@gmail.com> parents: 14846 diff changeset	45 The algorithm used depends on whether there are one or two input\n\
20172 4f45eaf83908 doc: Update more docstrings to have one sentence summary as first line. Rik <rik@octave.org> parents: 19697 diff changeset	46 matrices, if they are real or complex, and if they are symmetric\n\
15040 bc61fba0e9fd doc: Periodic spellcheck of documentation. Rik <rik@octave.org> parents: 15039 diff changeset	47 (Hermitian if complex) or non-symmetric.\n\
5829 93785a1b0f97 [project @ 2006-05-23 18:34:10 by jwe] jwe parents: 5823 diff changeset	48 \n\
93785a1b0f97 [project @ 2006-05-23 18:34:10 by jwe] jwe parents: 5823 diff changeset	49 The eigenvalues returned by @code{eig} are not ordered.\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	50 @seealso{eigs, svd}\n\
3372 f16c2ce14886 [project @ 1999-11-23 19:07:09 by jwe] jwe parents: 3014 diff changeset	51 @end deftypefn")
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	52 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	53 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	54
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20884 diff changeset	55 if (nargin > 2 \|\| nargin == 0)
20802 8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20555 diff changeset	56 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	57
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	58 octave_value_list retval;
6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	59
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	60 octave_value arg_a, arg_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	61
18100 6a71e5030df5 Follow coding convention of defining and initializing only 1 variable per line in liboctinterp. Rik <rik@octave.org> parents: 17787 diff changeset	62 octave_idx_type nr_a, nr_b, nc_a, nc_b;
6a71e5030df5 Follow coding convention of defining and initializing only 1 variable per line in liboctinterp. Rik <rik@octave.org> parents: 17787 diff changeset	63 nr_a = nr_b = nc_a = nc_b = 0;
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	64
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	65 arg_a = args(0);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	66 nr_a = arg_a.rows ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	67 nc_a = arg_a.columns ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	68
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	69 int arg_is_empty = empty_arg ("eig", nr_a, nc_a);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	70 if (arg_is_empty < 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	71 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	72 else if (arg_is_empty > 0)
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	73 return octave_value_list (2, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	74
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	75 if (! arg_a.is_double_type () && ! arg_a.is_single_type ())
21129 228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	76 err_wrong_type_arg ("eig", arg_a);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	77
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	78 if (nargin == 2)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	79 {
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	80 arg_b = args(1);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	81 nr_b = arg_b.rows ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	82 nc_b = arg_b.columns ();
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	83
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	84 arg_is_empty = empty_arg ("eig", nr_b, nc_b);
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	85 if (arg_is_empty < 0)
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	86 return retval;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	87 else if (arg_is_empty > 0)
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	88 return ovl (2, Matrix ());
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	89
21129 228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	90 if (! arg_b.is_single_type () && ! arg_b.is_double_type ())
228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	91 err_wrong_type_arg ("eig", arg_b);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	92 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	93
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	94 if (nr_a != nc_a)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	95 err_square_matrix_required ("eig", "A");
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	96
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	97 if (nargin == 2 && nr_b != nc_b)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	98 err_square_matrix_required ("eig", "B");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	99
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	100 Matrix tmp_a, tmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	101 ComplexMatrix ctmp_a, ctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	102 FloatMatrix ftmp_a, ftmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	103 FloatComplexMatrix fctmp_a, fctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	104
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	105 if (arg_a.is_single_type ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	106 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	107 FloatEIG result;
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	108
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	109 if (nargin == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	110 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	111 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	112 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	113 ftmp_a = arg_a.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	114
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	115 result = FloatEIG (ftmp_a, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	116 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	117 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	118 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	119 fctmp_a = arg_a.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	120
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	121 result = FloatEIG (fctmp_a, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	122 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	123 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	124 else if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	125 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	126 if (arg_a.is_real_type () && arg_b.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	127 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	128 ftmp_a = arg_a.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	129 ftmp_b = arg_b.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	130
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	131 result = FloatEIG (ftmp_a, ftmp_b, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	132 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	133 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	134 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	135 fctmp_a = arg_a.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	136 fctmp_b = arg_b.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	137
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	138 result = FloatEIG (fctmp_a, fctmp_b, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	139 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	140 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	141
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	142 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	143 {
20884 f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files. José Luis García Pallero <jgpallero@gmail.com> parents: 20853 diff changeset	144 retval = ovl (result.eigenvalues ());
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	145 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	146 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	147 {
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	148 // Blame it on Matlab.
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	149 FloatComplexDiagMatrix d (result.eigenvalues ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	150
20884 f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files. José Luis García Pallero <jgpallero@gmail.com> parents: 20853 diff changeset	151 retval = ovl (result.eigenvectors (), d);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	152 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	153 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	154 else
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: 7578 diff changeset	156 EIG result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	157
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	158 if (nargin == 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	159 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	160 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	161 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	162 tmp_a = arg_a.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	163
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	164 result = EIG (tmp_a, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	165 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	166 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	167 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	168 ctmp_a = arg_a.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	169
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	170 result = EIG (ctmp_a, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	171 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	172 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	173 else if (nargin == 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	174 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	175 if (arg_a.is_real_type () && arg_b.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	176 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	177 tmp_a = arg_a.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	178 tmp_b = arg_b.matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	179
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	180 result = EIG (tmp_a, tmp_b, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	181 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	182 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	183 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	184 ctmp_a = arg_a.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	185 ctmp_b = arg_b.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	186
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	187 result = EIG (ctmp_a, ctmp_b, nargout > 1);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	188 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	189 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	190
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	191 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	192 {
20884 f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files. José Luis García Pallero <jgpallero@gmail.com> parents: 20853 diff changeset	193 retval = ovl (result.eigenvalues ());
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	194 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	195 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	196 {
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	197 // Blame it on Matlab.
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	198 ComplexDiagMatrix d (result.eigenvalues ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	199
20884 f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files. José Luis García Pallero <jgpallero@gmail.com> parents: 20853 diff changeset	200 retval = ovl (result.eigenvectors (), d);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	201 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	202 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	203
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	204 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	205 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	206
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	207 /*
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	208 %!assert (eig ([1, 2; 2, 1]), [-1; 3], sqrt (eps))
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	209
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	210 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	211 %! [v, d] = eig ([1, 2; 2, 1]);
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	212 %! x = 1 / sqrt (2);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	213 %! assert (d, [-1, 0; 0, 3], sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	214 %! assert (v, [-x, x; x, x], sqrt (eps));
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	215
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	216 %!assert (eig (single ([1, 2; 2, 1])), single ([-1; 3]), sqrt (eps ("single")))
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	217
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	218 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	219 %! [v, d] = eig (single ([1, 2; 2, 1]));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	220 %! x = single (1 / sqrt (2));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	221 %! assert (d, single ([-1, 0; 0, 3]), sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	222 %! assert (v, [-x, x; x, x], sqrt (eps ("single")));
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	223
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	224 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	225 %! A = [1, 2; -1, 1]; B = [3, 3; 1, 2];
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	226 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	227 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	228 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	229
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	230 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	231 %! A = single ([1, 2; -1, 1]); B = single ([3, 3; 1, 2]);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	232 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	233 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	234 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single")));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	235
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	236 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	237 %! A = [1, 2; 2, 1]; B = [3, -2; -2, 3];
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	238 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	239 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	240 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	241
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	242 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	243 %! A = single ([1, 2; 2, 1]); B = single ([3, -2; -2, 3]);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	244 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	245 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	246 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single")));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	247
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	248 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	249 %! A = [1+3i, 2+i; 2-i, 1+3i]; B = [5+9i, 2+i; 2-i, 5+9i];
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	250 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	251 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	252 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	253
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	254 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	255 %! A = single ([1+3i, 2+i; 2-i, 1+3i]); B = single ([5+9i, 2+i; 2-i, 5+9i]);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	256 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	257 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	258 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single")));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	259
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	260 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	261 %! A = [1+3i, 2+3i; 3-8i, 8+3i]; B = [8+i, 3+i; 4-9i, 3+i];
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	262 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	263 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	264 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	265
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	266 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	267 %! A = single ([1+3i, 2+3i; 3-8i, 8+3i]); B = single ([8+i, 3+i; 4-9i, 3+i]);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	268 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	269 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	270 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single")));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	271
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	272 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	273 %! A = [1, 2; 3, 8]; B = [8, 3; 4, 3];
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	274 %! [v, d] = eig (A, B);
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	275 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	276 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	277
20490 ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	278 %!test
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	279 %! A = [1, 1+i; 1-i, 1]; B = [2, 0; 0, 2];
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	280 %! [v, d] = eig (A, B);
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	281 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps));
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	282 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps));
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	283
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	284 %!test
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	285 %! A = single ([1, 1+i; 1-i, 1]); B = single ([2, 0; 0, 2]);
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	286 %! [v, d] = eig (A, B);
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	287 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single")));
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	288 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single")));
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	289
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	290 %!error eig ()
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	291 %!error eig ([1, 2; 3, 4], [4, 3; 2, 1], 1)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	292 %!error <EIG requires same size matrices> eig ([1, 2; 3, 4], 2)
21110 3d0d84305600 Use err_square_matrix_required more widely. Rik <rik@octave.org> parents: 21100 diff changeset	293 %!error <must be a square matrix> eig ([1, 2; 3, 4; 5, 6])
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	294 %!error <wrong type argument> eig ("abcd")
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	295 %!error <wrong type argument> eig ([1 2 ; 2 3], "abcd")
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	296 %!error <wrong type argument> eig (false, [1 2 ; 2 3])
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	297 */

Mercurial > octave

annotate libinterp/corefcn/eig.cc @ 21200:fcac5dbbf9ed