octave: libinterp/corefcn/eig.cc annotate

annotate libinterp/corefcn/eig.cc @ 23450:855122b993da

maint: Wrap tertiary operator in parentheses "(COND ? x : y)". * Canvas.cc, color-picker.cc, dialog.cc, marker.cc, main-window.cc, Cell.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, bsxfun.cc, call-stack.cc, cellfun.cc, data.cc, defaults.cc, det.cc, eig.cc, error.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc, gl-render.cc, graphics.cc, graphics.in.h, help.cc, hex2num.cc, inv.cc, load-save.cc, lookup.cc, ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lu.cc, max.cc, mex.cc, oct-hist.cc, oct-map.cc, oct-procbuf.cc, oct-stream.cc, pr-output.cc, rand.cc, regexp.cc, schur.cc, str2double.cc, strfns.cc, symtab.cc, sysdep.cc, tril.cc, variables.cc, xdiv.cc, audiodevinfo.cc, audioread.cc, colamd.cc, gzip.cc, ov-base-diag.cc, ov-base-mat.h, ov-base-scalar.h, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-range.cc, ov-range.h, ov-struct.cc, ov-usr-fcn.cc, ov.cc, octave.cc, op-class.cc, pt-eval.cc, pt-funcall.cc, pt-idx.cc, pt-jit.cc, pt-stmt.cc, version.cc, Array-util.cc, Array.cc, CDiagMatrix.cc, CMatrix.cc, CNDArray.cc, CSparse.cc, Range.cc, Sparse.cc, chNDArray.cc, dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dSparse.cc, dim-vector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc, idx-vector.cc, idx-vector.h, Faddeeva.cc, DASPK.cc, DASRT.cc, DASSL.cc, EIG.cc, fEIG.cc, gsvd.cc, lo-specfun.cc, oct-rand.cc, qr.cc, qrp.cc, randgamma.cc, schur.cc, svd.cc, Sparse-diag-op-defs.h, mx-inlines.cc, oct-env.cc, cmd-edit.cc, kpse.cc, oct-inttypes.h, oct-sort.cc: Wrap tertiary operator in parentheses "(COND ? x : y)".

author	Rik <rik@octave.org>
date	Thu, 27 Apr 2017 17:33:10 -0700
parents	ed3d5186ffcf
children	3a730821e4a2

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
23219 3ac9f9ecfae5 maint: Update copyright dates. John W. Eaton <jwe@octave.org> parents: 23083 diff changeset	3 Copyright (C) 1996-2017 John W. Eaton
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	4 Copyright (C) 2016 Barbara Lócsi
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	5
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	6 This file is part of Octave.
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	7
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	8 Octave is free software; you can redistribute it and/or modify it
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	9 under the terms of the GNU General Public License as published by
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	10 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	11 (at your option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12
22755 3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	13 Octave is distributed in the hope that it will be useful, but
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	14 WITHOUT ANY WARRANTY; without even the implied warranty of
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
3a2b891d0b33 maint: Standardize Copyright formatting. Rik <rik@octave.org> parents: 22407 diff changeset	16 GNU General Public License for more details.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	17
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	18 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	19 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	20 <http://www.gnu.org/licenses/>.
2928 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
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21301 diff changeset	24 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21200 diff changeset	25 # include "config.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	26 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	27
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	28 #include "defun.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29 #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	30 #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	31 #include "ovl.h"
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	32
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	33 #include "EIG.h"
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	34 #include "fEIG.h"
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	35 #include "oct-string.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	36
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	37 DEFUN (eig, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	38 doc: /* -- texinfo --
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	39 @deftypefn {} {@var{lambda} =} eig (@var{A})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	40 @deftypefnx {} {@var{lambda} =} eig (@var{A}, @var{B})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	41 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	42 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A}, @var{B})
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	43 @deftypefnx {} {[@var{V}, @var{lambda}, @var{W}] =} eig (@var{A})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	44 @deftypefnx {} {[@var{V}, @var{lambda}, @var{W}] =} eig (@var{A}, @var{B})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	45 @deftypefnx {} {[@dots{}] =} eig (@var{A}, @var{balanceOption})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	46 @deftypefnx {} {[@dots{}] =} eig (@var{A}, @var{B}, @var{algorithm})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	47 @deftypefnx {} {[@dots{}] =} eig (@dots{}, @var{eigvalOption})
23290 0cf53cd75e13 doc: Fix eig output argument description (bug #50524). Victor Norton <vic@norton.name> parents: 23219 diff changeset	48 Compute the eigenvalues (@var{lambda}) and optionally the right eigenvectors
0cf53cd75e13 doc: Fix eig output argument description (bug #50524). Victor Norton <vic@norton.name> parents: 23219 diff changeset	49 (@var{V}) and the left eigenvectors (@var{W}) of a matrix or a pair of
0cf53cd75e13 doc: Fix eig output argument description (bug #50524). Victor Norton <vic@norton.name> parents: 23219 diff changeset	50 matrices.
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	51
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	52 The flag @var{balanceOption} can be one of:
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	53
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	54 @table @asis
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	55 @item @qcode{"balance"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	56 Preliminary balancing is on. (default)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	57
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	58 @item @qcode{"nobalance"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	59 Disables preliminary balancing.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	60 @end table
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	61
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	62 The flag @var{eigvalOption} can be one of:
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	63
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	64 @table @asis
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	65 @item @qcode{"matrix"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	66 Return the eigenvalues in a diagonal matrix. (default if 2 or 3 outputs
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	67 are specified)
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	68
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	69 @item @qcode{"vector"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	70 Return the eigenvalues in a column vector. (default if 1 output is
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	71 specified, e.g. @var{lambda} = eig (@var{A}))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	72 @end table
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	73
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	74 The flag @var{algorithm} can be one of:
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	75
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	76 @table @asis
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	77 @item @qcode{"chol"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	78 Uses the Cholesky factorization of B. (default if A is symmetric (Hermitian)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	79 and B is symmetric (Hermitian) positive definite)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	80
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	81 @item @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	82 Uses the QZ algorithm. (When A or B are not symmetric always the
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	83 QZ algorithm will be used)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	84 @end table
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	85
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	86 @multitable @columnfractions .31 .23 .23 .23
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	87 @headitem @tab no flag @tab chol @tab qz
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	88 @item both are symmetric
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	89 @tab @qcode{"chol"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	90 @tab @qcode{"chol"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	91 @tab @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	92 @item at least one is not symmetric
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	93 @tab @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	94 @tab @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	95 @tab @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	96 @end multitable
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	97
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	98 The eigenvalues returned by @code{eig} are not ordered.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	99 @seealso{eigs, svd}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	100 @end deftypefn */)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	101 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	102 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	103
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	104 if (nargin > 4 \|\| nargin == 0)
20802 8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20555 diff changeset	105 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	106
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	107 octave_value_list retval;
6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	108
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	109 octave_value arg_a, arg_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	110
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	111 arg_a = args(0);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	112
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	113 if (arg_a.is_empty ())
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	114 return octave_value_list (2, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	115
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	116 if (! arg_a.is_float_type ())
21129 228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	117 err_wrong_type_arg ("eig", arg_a);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	118
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	119 if (arg_a.rows () != arg_a.columns ())
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	120 err_square_matrix_required ("eig", "A");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	121
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	122 // determine if it's AEP or GEP
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	123 bool AEPcase = nargin == 1 \|\| args(1).is_string ();
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	124
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	125 if (! AEPcase)
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	126 {
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	127 arg_b = args(1);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	128
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	129 if (arg_b.is_empty ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	130 return octave_value_list (2, Matrix ());
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	131
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	132 if (! arg_b.is_float_type ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	133 err_wrong_type_arg ("eig", arg_b);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	134
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	135 if (arg_b.rows () != arg_b.columns ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	136 err_square_matrix_required ("eig", "B");
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	137 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	138
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	139 bool qz_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	140 bool chol_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	141 bool balance_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	142 bool no_balance_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	143 bool matrix_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	144 bool vector_flag = false;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	145
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	146 for (int i = (AEPcase ? 1 : 2); i < args.length (); ++i)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	147 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	148 if (! args(i).is_string ())
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	149 err_wrong_type_arg ("eig", args(i));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	150
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	151 std::string arg_i = args(i).string_value ();
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	152 if (octave::string::strcmpi (arg_i, "qz"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	153 qz_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	154 else if (octave::string::strcmpi (arg_i, "chol"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	155 chol_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	156 else if (octave::string::strcmpi (arg_i, "balance"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	157 balance_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	158 else if (octave::string::strcmpi (arg_i, "nobalance"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	159 no_balance_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	160 else if (octave::string::strcmpi (arg_i, "matrix"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	161 matrix_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	162 else if (octave::string::strcmpi (arg_i, "vector"))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	163 vector_flag = true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	164 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	165 error ("eig: invalid option \"%s\"", arg_i.c_str ());
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	166 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	167
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	168 if (balance_flag && no_balance_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	169 error ("eig: \"balance\" and \"nobalance\" options are mutually exclusive");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	170 if (vector_flag && matrix_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	171 error ("eig: \"vector\" and \"matrix\" options are mutually exclusive");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	172 if (qz_flag && chol_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	173 error ("eig: \"qz\" and \"chol\" options are mutually exclusive");
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	174
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	175 if (AEPcase)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	176 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	177 if (qz_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	178 error ("eig: invalid \"qz\" option for algebraic eigenvalue problem");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	179 if (chol_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	180 error ("eig: invalid \"chol\" option for algebraic eigenvalue problem");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	181 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	182 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	183 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	184 if (balance_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	185 error ("eig: invalid \"balance\" option for generalized eigenvalue problem");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	186 if (no_balance_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	187 error ("eig: invalid \"nobalance\" option for generalized eigenvalue problem");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	188 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	189
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	190 // Default is to balance
23450 855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)". Rik <rik@octave.org> parents: 23293 diff changeset	191 const bool balance = (no_balance_flag ? false : true);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	192 const bool force_qz = qz_flag;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	193
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	194
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	195 Matrix tmp_a, tmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	196 ComplexMatrix ctmp_a, ctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	197 FloatMatrix ftmp_a, ftmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	198 FloatComplexMatrix fctmp_a, fctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	199
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	200 if (arg_a.is_single_type ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	201 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	202 FloatEIG result;
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	203 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	204 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	205 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	206 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	207 ftmp_a = arg_a.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	208
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	209 result = FloatEIG (ftmp_a, nargout > 1, nargout > 2, balance);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	210 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	211 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	212 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	213 fctmp_a = arg_a.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	214
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	215 result = FloatEIG (fctmp_a, nargout > 1, nargout > 2, balance);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	216 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	217 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	218 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	219 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	220 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	221 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	222 ftmp_a = arg_a.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	223 ftmp_b = arg_b.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	224
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	225 result = FloatEIG (ftmp_a, ftmp_b, nargout > 1, nargout > 2,
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	226 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	227 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	228 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	229 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	230 fctmp_a = arg_a.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	231 fctmp_b = arg_b.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	232
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	233 result = FloatEIG (fctmp_a, fctmp_b, nargout > 1, nargout > 2,
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	234 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	235 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	236 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	237
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	238 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	239 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	240 if (matrix_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	241 retval = ovl (FloatComplexDiagMatrix (result.eigenvalues ()));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	242 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	243 retval = ovl (result.eigenvalues ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	244 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	245 else if (nargout == 2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	246 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	247 if (vector_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	248 retval = ovl (result.right_eigenvectors (), result.eigenvalues ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	249 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	250 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	251 FloatComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	252 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	253 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	254 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	255 if (vector_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	256 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	257 result.eigenvalues (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	258 result.left_eigenvectors ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	259 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	260 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	261 FloatComplexDiagMatrix (result.eigenvalues ()),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	262 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	263 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	264 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	265 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	266 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	267 EIG result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	268
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	269 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	270 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	271 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	272 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	273 tmp_a = arg_a.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	274
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	275 result = EIG (tmp_a, nargout > 1, nargout > 2, balance);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	276 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	277 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	278 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	279 ctmp_a = arg_a.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	280
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	281 result = EIG (ctmp_a, nargout > 1, nargout > 2, balance);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	282 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	283 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	284 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	285 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	286 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	287 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	288 tmp_a = arg_a.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	289 tmp_b = arg_b.matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	290
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	291 result = EIG (tmp_a, tmp_b, nargout > 1, nargout > 2, force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	292 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	293 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	294 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	295 ctmp_a = arg_a.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	296 ctmp_b = arg_b.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	297
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	298 result = EIG (ctmp_a, ctmp_b, nargout > 1, nargout > 2, force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	299 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	300 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	301
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	302 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	303 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	304 if (matrix_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	305 retval = ovl (ComplexDiagMatrix (result.eigenvalues ()));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	306 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	307 retval = ovl (result.eigenvalues ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	308 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	309 else if (nargout == 2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	310 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	311 if (vector_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	312 retval = ovl (result.right_eigenvectors (), result.eigenvalues ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	313 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	314 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	315 ComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	316 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	317 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	318 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	319 if (vector_flag)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	320 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	321 result.eigenvalues (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	322 result.left_eigenvectors ());
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	323 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	324 retval = ovl (result.right_eigenvectors (),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	325 ComplexDiagMatrix (result.eigenvalues ()),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	326 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	327 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	328 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	329
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	330 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	331 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	332
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	333 /*
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	334 %!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	335
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	336 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	337 %! [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	338 %! x = 1 / sqrt (2);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	339 %! assert (d, [-1, 0; 0, 3], sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	340 %! assert (v, [-x, x; x, x], sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	341
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	342 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	343 %! [v, d, w] = eig ([1, 2; 2, 1]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	344 %! x = 1 / sqrt (2);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	345 %! assert (w, [-x, x; x, x], sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	346
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	347 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	348 %! [v, d] = eig ([1, 2; 2, 1], "balance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	349 %! x = 1 / sqrt (2);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	350 %! assert (d, [-1, 0; 0, 3], sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	351 %! assert (v, [-x, x; x, x], sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	352
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	353 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	354 %! [v, d, w] = eig ([1, 2; 2, 1], "balance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	355 %! x = 1 / sqrt (2);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	356 %! assert (w, [-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	357
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	358 %!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	359
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	360 %!assert (eig (single ([1, 2; 2, 1]), "balance"),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	361 %! single ([-1; 3]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	362
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	363 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	364 %! [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	365 %! x = single (1 / sqrt (2));
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	366 %! assert (d, single ([-1, 0; 0, 3]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	367 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	368
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	369 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	370 %! [v, d, w] = eig (single ([1, 2; 2, 1]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	371 %! x = single (1 / sqrt (2));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	372 %! assert (w, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	373
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	374 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	375 %! [v, d] = eig (single ([1, 2; 2, 1]), "balance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	376 %! x = single (1 / sqrt (2));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	377 %! assert (d, single ([-1, 0; 0, 3]), sqrt (eps ("single")));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	378 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	379
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	380 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	381 %! [v, d, w] = eig (single ([1, 2; 2, 1]), "balance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	382 %! x = single (1 / sqrt (2));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	383 %! assert (w, [-x, x; x, x], sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	384
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	385
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	386 ## If (at least one of) the matrices are non-symmetric,
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	387 ## regardless the algorithm flag the qz algorithm should be used.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	388 ## So the results without algorithm flag, with "qz" and with "chol"
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	389 ## should be the same.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	390 %!function nonsym_chol_2_output (A, B, res = sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	391 %! [v, d] = eig (A, B);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	392 %! [v2, d2] = eig (A, B, "qz");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	393 %! [v3, d3] = eig (A, B, "chol");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	394 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	395 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	396 %! assert (v, v2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	397 %! assert (v, v3)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	398 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	399 %! assert (d, d3)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	400 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	401
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	402 %!test nonsym_chol_2_output ([1, 2; -1, 1], [3, 3; 1, 2])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	403 %!test nonsym_chol_2_output ([1+3i, 2+3i; 3-8i, 8+3i], [8+i, 3+i; 4-9i, 3+i])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	404 %!test nonsym_chol_2_output ([1, 2; 3, 8], [8, 3; 4, 3])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	405
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	406 %!test nonsym_chol_2_output (single ([1, 2; -1, 1]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	407 %! single ([3, 3; 1, 2]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	408 %!test nonsym_chol_2_output (single ([1+3i, 2+3i; 3-8i, 8+3i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	409 %! single ([8+i, 3+i; 4-9i, 3+i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	410 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	411
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	412 %!function nonsym_chol_3_output (A, B, res = sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	413 %! [v, d, w] = eig (A, B);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	414 %! [v2, d2, w2] = eig (A, B, "qz");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	415 %! [v3, d3, w3] = eig (A, B, "chol");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	416 %! wt = w';
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	417 %! assert (wt(1, :)* A, d(1, 1) * wt(1, :) * B, res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	418 %! assert (wt(2, :)* A, d(2, 2) * wt(2, :) * B, res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	419 %! assert (v, v2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	420 %! assert (v, v3)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	421 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	422 %! assert (d, d3)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	423 %! assert (w, w2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	424 %! assert (w, w3)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	425 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	426
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	427 %!test nonsym_chol_3_output ([1, 2; -1, 1], [3, 3; 1, 2])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	428 %!test nonsym_chol_3_output ([1+3i, 2+3i; 3-8i, 8+3i], [8+i, 3+i; 4-9i, 3+i])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	429 %!test nonsym_chol_3_output ([1, 2; 3, 8], [8, 3; 4, 3])
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	430
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	431 %!test nonsym_chol_3_output (single ([1, 2; -1, 1]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	432 %! single ([3, 3; 1, 2]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	433 %!test nonsym_chol_3_output (single ([1+3i, 2+3i; 3-8i, 8+3i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	434 %! single ([8+i, 3+i; 4-9i, 3+i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	435 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	436
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	437 ## If the matrices are symmetric,
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	438 ## then the chol method is default.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	439 ## So the results without algorithm flag and with "chol" should be the same.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	440 %!function sym_chol_2_input (A, B, res = sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	441 %! [v, d] = eig (A, B);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	442 %! [v2, d2] = eig (A, B, "chol");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	443 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	444 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	445 %! assert (v, v2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	446 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	447 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	448
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	449 %!test sym_chol_2_input ([1, 2; 2, 1], [3, -2; -2, 3])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	450 %!test sym_chol_2_input ([1+3i, 2+i; 2-i, 1+3i], [5+9i, 2+i; 2-i, 5+9i])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	451 %!test sym_chol_2_input ([1, 1+i; 1-i, 1], [2, 0; 0, 2])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	452
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	453 %!test sym_chol_2_input (single ([1, 2; 2, 1]), single ([3, -2; -2, 3]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	454 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	455 %!test sym_chol_2_input (single ([1+3i, 2+i; 2-i, 1+3i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	456 %! single ([5+9i, 2+i; 2-i, 5+9i]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	457 %!test sym_chol_2_input (single ([1, 1+i; 1-i, 1]), single ([2, 0; 0, 2]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	458 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	459
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	460 %!function sym_chol_3_input (A, B, res = sqrt (eps))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	461 %! [v, d, w] = eig (A, B);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	462 %! [v2, d2, w2] = eig (A, B, "chol");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	463 %! wt = w';
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	464 %! assert (wt(1, :)* A, d(1, 1) * wt(1, :) * B, res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	465 %! assert (wt(2, :)* A, d(2, 2) * wt(2, :) * B, res)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	466 %! assert (v, v2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	467 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	468 %! assert (w, w2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	469 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	470
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	471 %!test sym_chol_3_input ([1, 2; 2, 1], [3, -2; -2, 3])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	472 %!test sym_chol_3_input ([1+3i, 2+i; 2-i, 1+3i], [5+9i, 2+i; 2-i, 5+9i])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	473 %!test sym_chol_3_input ([1, 1+i; 1-i, 1], [2, 0; 0, 2])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	474
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	475 %!test sym_chol_3_input (single ([1, 2; 2, 1]), single ([3, -2; -2, 3]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	476 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	477 %!test sym_chol_3_input (single ([1+3i, 2+i; 2-i, 1+3i]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	478 %! single ([5+9i, 2+i; 2-i, 5+9i]), sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	479 %!test sym_chol_3_input (single ([1, 1+i; 1-i, 1]), single ([2, 0; 0, 2]),
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	480 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	481
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	482 ## "balance" is always default
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	483 ## so the results with and without "balance" should be the same
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	484 ## while in this case "nobalance" should produce different result
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	485 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	486 %! A = [3 -2 -0.9 0; -2 4 1 -0; -0 0 -1 0; -0.5 -0.5 0.1 1];
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	487 %! [V1, D1] = eig (A);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	488 %! [V2, D2] = eig (A, "balance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	489 %! [V3, D3] = eig (A, "nobalance");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	490 %! assert (V1, V2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	491 %! assert (D1, D2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	492 %! assert (isequal (V2, V3), false)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	493
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	494 ## Testing the flags in all combination.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	495 ## If 2 flags are on, than the result should be the same regardless
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	496 ## of the flags order.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	497 ## option1 represents the first order while option2 represents the other order.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	498 ## d and d2 should be a diagonal matrix if "matrix" flag is on while
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	499 ## these should be column vectors if the "vector" flag is on.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	500 %!function test_eig_args (args, options1, options2, testd = @() true)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	501 %! [v, d, w] = eig (args{:}, options1{:});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	502 %! [v2, d2, w2] = eig (args{:}, options2{:});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	503 %! assert (testd (d))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	504 %! assert (testd (d2))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	505 %! assert (v, v2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	506 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	507 %! assert (w, w2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	508 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	509
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	510 %!function qz_chol_with_shapes (A, B)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	511 %! for shapes = struct ("name", {"vector", "matrix"},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	512 %! "test", {@isvector, @isdiag})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	513 %! test_eig_args ({A, B}, {"qz", shapes.name},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	514 %! {shapes.name, "qz"}, shapes.test);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	515 %! test_eig_args ({A, B}, {"chol", shapes.name},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	516 %! {shapes.name, "chol"}, shapes.test);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	517 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	518 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	519
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	520 %!function balance_nobalance_with_shapes (A)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	521 %! for shapes = struct ("name", {"vector", "matrix"},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	522 %! "test", {@isvector, @isdiag})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	523 %! test_eig_args ({A}, {"balance", shapes.name},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	524 %! {shapes.name, "balance"}, shapes.test);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	525 %! test_eig_args ({A}, {"nobalance", shapes.name},
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	526 %! {shapes.name, "nobalance"}, shapes.test);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	527 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	528 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	529
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	530 ## Default return format:
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	531 ## diagonal matrix if 2 or 3 outputs are specified
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	532 ## column vector if 1 output is specified
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	533 %!function test_shapes (args)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	534 %! d = eig (args{:});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	535 %! assert (isvector(d))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	536 %! d2 = eig (args{:}, "vector");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	537 %! assert (isvector(d2))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	538 %! [v, d3] = eig (args{:});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	539 %! assert (isdiag(d3))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	540 %! d4 = eig (args{:}, "matrix");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	541 %! assert (isdiag(d4))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	542 %! [v, d5, w] = eig (args{:});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	543 %! assert (isdiag(d5))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	544 %! d6 = eig (args{:}, "matrix");
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	545 %! assert (isdiag(d6))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	546 %! assert (d, d2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	547 %! assert (d3, d4)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	548 %! assert (d5, d6)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	549 %! assert (d, diag(d3))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	550 %! assert (d, diag(d5))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	551 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	552
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	553 %!function shapes_AEP (A)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	554 %! test_shapes({A});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	555 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	556
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	557 %!function shapes_GEP (A, B)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	558 %! test_shapes({A, B});
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	559 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	560
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	561 %!test balance_nobalance_with_shapes ([1, 2; 2, 1]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	562 %!test balance_nobalance_with_shapes (single ([1, 2; 2, 1]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	563
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	564 %!test shapes_AEP ([1, 2; 2, 1]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	565 %!test shapes_AEP (single ([1, 2; 2, 1]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	566
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	567 %!test qz_chol_with_shapes ([1, 1+i; 1-i, 1], [2, 0; 0, 2]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	568 %!test qz_chol_with_shapes ([1, 2; 3, 8], [8, 3; 4, 3]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	569 %!test qz_chol_with_shapes ([1, 2; -1, 1], [3, 3; 1, 2]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	570
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	571 %!test qz_chol_with_shapes (single ([1, 1+i; 1-i, 1]), single ([2, 0; 0, 2]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	572 %!test qz_chol_with_shapes (single ([1, 2; 3, 8]), single ([8, 3; 4, 3]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	573 %!test qz_chol_with_shapes (single ([1, 2; -1, 1]), single ([3, 3; 1, 2]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	574
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	575 %!test shapes_GEP ([1, 1+i; 1-i, 1], [2, 0; 0, 2]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	576 %!test shapes_GEP ([1, 2; 3, 8], [8, 3; 4, 3]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	577 %!test shapes_GEP ([1, 2; -1, 1], [3, 3; 1, 2]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	578
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	579 %!test shapes_GEP (single ([1, 1+i; 1-i, 1]), single ([2, 0; 0, 2]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	580 %!test shapes_GEP (single ([1, 2; 3, 8]), single ([8, 3; 4, 3]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	581 %!test shapes_GEP (single ([1, 2; -1, 1]), single ([3, 3; 1, 2]));
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	582
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	583 %!function chol_qz_accuracy (A, B, is_qz_accurate, is_chol_accurate)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	584 %! [V1,D1] = eig (A,B, 'qz');
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	585 %! [V2,D2] = eig (A,B); #default is chol
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	586 %! assert (isequal (AV1,AV1*D1), is_qz_accurate)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	587 %! assert (isequal (AV2, AV2*D2), is_chol_accurate)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	588 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	589
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	590 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	591 %! minij_100 = gallery('minij',100);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	592 %! chol_qz_accuracy (minij_100, minij_100, false, true);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	593
20490 ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	594 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	595 %! moler_100 = gallery('moler',100);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	596 %! chol_qz_accuracy (moler_100, moler_100, false, true);
20490 ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	597
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	598 %!test
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	599 %! A = diag([10^-16, 10^-15]);
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	600 %! chol_qz_accuracy (A, A, true, false);
20490 ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	601
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	602 %!error eig ()
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	603 %!error eig (false)
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	604 %!error eig ([1, 2; 3, 4], [4, 3; 2, 1], 1)
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	605
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	606 %!error <EIG requires same size matrices>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	607 %! eig ([1, 2; 3, 4], 2)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	608 %!error <must be a square matrix>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	609 %! eig ([1, 2; 3, 4; 5, 6])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	610 %!error <wrong type argument>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	611 %! eig ("abcd")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	612 %!error <invalid option "abcd">
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	613 %! eig ([1 2 ; 2 3], "abcd")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	614 %!error <invalid "chol" option for algebraic eigenvalue problem>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	615 %! eig ([1 2 ; 2 3], "chol")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	616 %!error <invalid "qz" option for algebraic eigenvalue problem>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	617 %! eig ([1 2 ; 2 3], "qz")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	618 %!error <wrong type argument>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	619 %! eig (false, [1 2 ; 2 3])
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	620 %!error <invalid option "abcd">
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	621 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], "abcd")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	622 %!error <invalid "qz" option for algebraic eigenvalue problem>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	623 %! eig ([1 2 ; 2 3], "balance", "qz")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	624 %!error <invalid option "abcd">
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	625 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], "vector", "abcd")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	626 %!error <invalid option "abcd">
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	627 %! eig ([1 2 ; 2 3], "balance", "matrix", "abcd")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	628 %!error <"balance" and "nobalance" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	629 %! eig ([1 2 ; 2 3], "balance", "nobalance")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	630 %!error <"balance" and "nobalance" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	631 %! eig ([1 2 ; 2 3], "nobalance", "balance")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	632 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	633 %! eig ([1 2 ; 2 3], "matrix", "vector")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	634 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	635 %! eig ([1 2 ; 2 3], "vector", "matrix")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	636 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	637 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], "matrix", "vector")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	638 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	639 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], "vector", "matrix")
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	640 %!error <wrong type argument>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	641 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], false)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	642 %!error <wrong type argument>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	643 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], [1 2 ; 2 3])
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	644 */

Mercurial > octave

annotate libinterp/corefcn/eig.cc @ 23450:855122b993da