octave: libinterp/corefcn/eig.cc annotate

annotate libinterp/corefcn/eig.cc @ 22407:34ce5be04942

maint: Style check C++ code in libinterp/. * build-env.h, build-env.in.cc, builtins.h, Cell.cc, Cell.h, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, cdisplay.c, cdisplay.h, cellfun.cc, coct-hdf5-types.c, comment-list.cc, comment-list.h, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, debug.h, defaults.cc, defaults.in.h, defun-dld.h, defun-int.h, defun.h, det.cc, dirfns.cc, dirfns.h, display.cc, display.h, dlmread.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, error.cc, error.h, errwarn.h, event-queue.cc, event-queue.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, file-io.h, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics.cc, graphics.in.h, gripes.h, gsvd.cc, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter.cc, interpreter.h, inv.cc, jit-ir.cc, jit-ir.h, jit-typeinfo.cc, jit-typeinfo.h, jit-util.cc, jit-util.h, kron.cc, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-hdf5.cc, ls-hdf5.h, ls-mat-ascii.cc, ls-mat-ascii.h, ls-mat4.cc, ls-mat4.h, ls-mat5.h, ls-oct-binary.cc, ls-oct-binary.h, ls-oct-text.cc, ls-oct-text.h, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, matrix_type.cc, max.cc, mex.cc, mex.h, mexproto.h, mgorth.cc, mxarray.in.h, nproc.cc, oct-errno.h, oct-errno.in.cc, oct-fstrm.cc, oct-fstrm.h, oct-handle.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hdf5.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-lvalue.cc, oct-lvalue.h, oct-map.h, oct-obj.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct.h, octave-default-image.h, octave-link.h, octave-preserve-stream-state.h, ordschur.cc, pager.cc, pager.h, pinv.cc, pr-output.cc, pr-output.h, procstream.cc, procstream.h, profiler.h, psi.cc, pt-jit.cc, pt-jit.h, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, toplev.h, tril.cc, tsearch.cc, txt-eng.cc, txt-eng.h, typecast.cc, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, workspace-element.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, zfstream.cc, zfstream.h, deprecated-config.h, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, gzip.cc, oct-qhull.h, qr.cc, symbfact.cc, symrcm.cc, liboctinterp-build-info.h, liboctinterp-build-info.in.cc, ov-base-diag.h, ov-base-int.cc, ov-base-int.h, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.h, ov-base-sparse.cc, ov-base-sparse.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-bool-mat.h, ov-bool-sparse.cc, ov-bool-sparse.h, ov-bool.cc, ov-bool.h, ov-builtin.cc, ov-builtin.h, ov-cell.cc, ov-cell.h, ov-ch-mat.cc, ov-ch-mat.h, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-colon.cc, ov-colon.h, ov-complex.cc, ov-complex.h, ov-cs-list.h, ov-cx-diag.cc, ov-cx-diag.h, ov-cx-mat.cc, ov-cx-mat.h, ov-cx-sparse.cc, ov-cx-sparse.h, ov-dld-fcn.cc, ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn-inline.cc, ov-fcn-inline.h, ov-fcn.cc, ov-fcn.h, ov-float.cc, ov-float.h, ov-flt-complex.cc, ov-flt-complex.h, ov-flt-cx-diag.cc, ov-flt-cx-diag.h, ov-flt-cx-mat.cc, ov-flt-cx-mat.h, ov-flt-re-diag.cc, ov-flt-re-diag.h, ov-flt-re-mat.cc, ov-flt-re-mat.h, ov-int-traits.h, ov-int16.cc, ov-int16.h, ov-int32.cc, ov-int32.h, ov-int64.cc, ov-int64.h, ov-int8.cc, ov-int8.h, ov-intx.h, ov-java.cc, ov-java.h, ov-lazy-idx.cc, ov-lazy-idx.h, ov-mex-fcn.cc, ov-mex-fcn.h, ov-null-mat.cc, ov-null-mat.h, ov-oncleanup.cc, ov-oncleanup.h, ov-perm.cc, ov-perm.h, ov-range.cc, ov-range.h, ov-re-diag.cc, ov-re-diag.h, ov-re-mat.cc, ov-re-mat.h, ov-re-sparse.cc, ov-re-sparse.h, ov-scalar.cc, ov-scalar.h, ov-str-mat.cc, ov-str-mat.h, ov-struct.cc, ov-struct.h, ov-typeinfo.cc, ov-typeinfo.h, ov-uint16.cc, ov-uint16.h, ov-uint32.cc, ov-uint32.h, ov-uint64.cc, ov-uint64.h, ov-uint8.cc, ov-uint8.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.h, ovl.cc, ovl.h, octave.cc, octave.h, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-pm.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcm-pm.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fm-pm.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-int.h, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-pm.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-pm-cm.cc, op-pm-fcm.cc, op-pm-fm.cc, op-pm-m.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, options-usage.h, lex.h, parse.h, pt-all.h, pt-arg-list.cc, pt-arg-list.h, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.cc, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-funcall.cc, pt-funcall.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.cc, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-stmt.cc, pt-stmt.h, pt-unop.cc, pt-unop.h, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Array-jit.cc, Array-tc.cc, version.cc, version.in.h: Style check C++ code in libinterp/

author	Rik <rik@octave.org>
date	Tue, 30 Aug 2016 21:46:47 -0700
parents	bac0d6f07a3e
children	3a2b891d0b33 e9a0469dedd9

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
22323 bac0d6f07a3e maint: Update copyright notices for 2016. John W. Eaton <jwe@octave.org> parents: 22305 diff changeset	3 Copyright (C) 1996-2016 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
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	9 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5829 diff changeset	11 option) any later version.
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	12
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	13 Octave is distributed in the hope that it will be useful, but WITHOUT
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	16 for more details.
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})
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	48 Compute the right eigenvalues(V) and optionally the eigenvectors(lambda) and
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	49 the left eigenvalues(W) of a matrix or a pair of matrices.
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	50
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	51 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	52
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	53 @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	54 @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	55 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	56
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	57 @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	58 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	59 @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	60
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	61 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	62
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	63 @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	64 @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	65 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	66 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	67
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	68 @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	69 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	70 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	71 @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	72
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	73 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	74
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	75 @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	76 @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	77 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	78 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	79
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	80 @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	81 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	82 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	83 @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	84
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	85 @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	86 @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	87 @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	88 @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	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{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	91 @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	92 @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	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 @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	96
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	97 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	98 @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	99 @end deftypefn */)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	100 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	101 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	102
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	103 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	104 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	105
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	106 octave_value_list retval;
6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	107
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	108 octave_value arg_a, arg_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	109
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	110 arg_a = args(0);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	111
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	112 if (arg_a.is_empty ())
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	113 return octave_value_list (2, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	114
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	115 if (! arg_a.is_float_type ())
21129 228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	116 err_wrong_type_arg ("eig", arg_a);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	117
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	118 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	119 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	120
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	121 // 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	122 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	123
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	124 if (! AEPcase)
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	125 {
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	126 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	127
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	128 if (arg_b.is_empty ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	129 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	130
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	131 if (! arg_b.is_float_type ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	132 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	133
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	134 if (arg_b.rows () != arg_b.columns ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	135 err_square_matrix_required ("eig", "B");
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	136 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	137
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	138 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	139 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	140 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	141 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	142 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	143 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	144
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	145 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	146 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	147 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	148 err_wrong_type_arg ("eig", args(i));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	149
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	150 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	151 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	152 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	153 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	154 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	155 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	156 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	157 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	158 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	159 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	160 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	161 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	162 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	163 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	164 error ("eig: invalid option \"%s\"", arg_i.c_str ());
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	165 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	166
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	167 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	168 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	169 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	170 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	171 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	172 error ("eig: \"qz\" and \"chol\" options are mutually exclusive");
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	173
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	174 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	175 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	176 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	177 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	178 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	179 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	180 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	181 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	182 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	183 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	184 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	185 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	186 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	187 }
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 // Default is to balance
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	190 const bool balance = no_balance_flag ? false : true;
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	191 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	192
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	193
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	194 Matrix tmp_a, tmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	195 ComplexMatrix ctmp_a, ctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	196 FloatMatrix ftmp_a, ftmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	197 FloatComplexMatrix fctmp_a, fctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	198
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	199 if (arg_a.is_single_type ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	200 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	201 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	202 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	203 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	204 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	205 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	206 ftmp_a = arg_a.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	207
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	208 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	209 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	210 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	211 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	212 fctmp_a = arg_a.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	213
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	214 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	215 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	216 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	217 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	218 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	219 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	220 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	221 ftmp_a = arg_a.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	222 ftmp_b = arg_b.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	223
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	224 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	225 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	226 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	227 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	228 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	229 fctmp_a = arg_a.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	230 fctmp_b = arg_b.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	231
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	232 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	233 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	234 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	235 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	236
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	237 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	238 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	239 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	240 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	241 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	242 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	243 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	244 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	245 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	246 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	247 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	248 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	249 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	250 FloatComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	251 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	252 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	253 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	254 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	255 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	256 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	257 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	258 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	259 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	260 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	261 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	262 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	263 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	264 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	265 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	266 EIG result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	267
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	268 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	269 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	270 if (arg_a.is_real_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	271 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	272 tmp_a = arg_a.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	273
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	274 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	275 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	276 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	277 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	278 ctmp_a = arg_a.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	279
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	280 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	281 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	282 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	283 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	284 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	285 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	286 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	287 tmp_a = arg_a.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	288 tmp_b = arg_b.matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	289
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	290 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	291 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	292 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	293 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	294 ctmp_a = arg_a.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	295 ctmp_b = arg_b.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	296
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	297 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	298 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	299 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	300
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	301 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	302 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	303 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	304 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	305 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	306 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	307 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	308 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	309 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	310 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	311 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	312 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	313 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	314 ComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	315 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	316 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	317 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	318 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	319 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	320 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	321 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	322 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	323 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	324 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	325 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	326 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	327 }
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 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	330 }
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 /*
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	333 %!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	334
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	335 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	336 %! [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	337 %! 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	338 %! 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	339 %! 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	340
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	341 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	342 %! [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	343 %! 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	344 %! 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	345
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	346 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	347 %! [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	348 %! 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	349 %! 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	350 %! 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	351
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	352 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	353 %! [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	354 %! 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	355 %! 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	356
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	357 %!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	358
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	359 %!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	360 %! 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	361
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	362 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	363 %! [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	364 %! 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	365 %! 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	366 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	367
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	368 %!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	369 %! [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	370 %! 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	371 %! assert (w, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	372
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	373 %!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	374 %! [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	375 %! 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	376 %! 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	377 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	378
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	379 %!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	380 %! [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	381 %! 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	382 %! 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	383
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 ## 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	386 ## 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	387 ## 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	388 ## 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	389 %!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	390 %! [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	391 %! [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	392 %! [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	393 %! 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	394 %! 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	395 %! 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	396 %! 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	397 %! 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	398 %! 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	399 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	400
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	401 %!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	402 %!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	403 %!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	404
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	405 %!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	406 %! 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	407 %!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	408 %! 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	409 %! 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	410
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	411 %!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	412 %! [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	413 %! [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	414 %! [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	415 %! 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	416 %! 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	417 %! 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	418 %! 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	419 %! 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	420 %! 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	421 %! 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	422 %! 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	423 %! 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	424 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	425
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	426 %!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	427 %!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	428 %!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	429
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	430 %!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	431 %! 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	432 %!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	433 %! 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	434 %! 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	435
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	436 ## 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	437 ## 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	438 ## 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	439 %!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	440 %! [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	441 %! [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	442 %! 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	443 %! 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	444 %! 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	445 %! 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	446 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	447
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	448 %!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	449 %!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	450 %!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	451
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	452 %!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	453 %! 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	454 %!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	455 %! 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	456 %!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	457 %! 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	458
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	459 %!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	460 %! [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	461 %! [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	462 %! 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	463 %! 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	464 %! 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	465 %! 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	466 %! 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	467 %! 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	468 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	469
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	470 %!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	471 %!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	472 %!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	473
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	474 %!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	475 %! 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	476 %!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	477 %! 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	478 %!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	479 %! 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	480
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	481 ## "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	482 ## 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	483 ## while in this case "nobalance" should produce different result
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	484 %!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	485 %! 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	486 %! [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	487 %! [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	488 %! [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	489 %! 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	490 %! 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	491 %! 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	492
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	493 ## 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	494 ## 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	495 ## 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	496 ## 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	497 ## 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	498 ## 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	499 %!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	500 %! [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	501 %! [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	502 %! 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	503 %! 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	504 %! 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	505 %! 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	506 %! 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	507 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	508
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	509 %!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	510 %! 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	511 %! "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	512 %! 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	513 %! {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	514 %! 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	515 %! {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	516 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	517 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	518
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	519 %!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	520 %! 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	521 %! "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	522 %! 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	523 %! {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	524 %! 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	525 %! {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	526 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	527 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	528
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	529 ## 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	530 ## 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	531 ## 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	532 %!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	533 %! 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	534 %! 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	535 %! 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	536 %! 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	537 %! [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	538 %! 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	539 %! 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	540 %! 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	541 %! [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	542 %! 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	543 %! 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	544 %! 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	545 %! 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	546 %! 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	547 %! 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	548 %! 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	549 %! 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	550 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	551
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	552 %!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	553 %! 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	554 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	555
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	556 %!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	557 %! 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	558 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	559
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	560 %!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	561 %!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	562
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	563 %!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	564 %!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	565
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	566 %!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	567 %!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	568 %!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	569
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	570 %!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	571 %!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	572 %!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	573
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	574 %!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	575 %!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	576 %!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	577
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	578 %!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	579 %!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	580 %!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	581
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	582 %!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	583 %! [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	584 %! [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	585 %! 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	586 %! 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	587 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	588
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	589 %!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	590 %! 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	591 %! chol_qz_accuracy (minij_100, minij_100, false, true);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	592
20490 ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	593 %!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	594 %! 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	595 %! 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	596
ff904ae0285b eig: Return correct solution for a pair of hermitian matrices (bug #45511) Mike Miller <mtmiller@octave.org> parents: 20172 diff changeset	597 %!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	598 %! 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	599 %! 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	600
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	601 %!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	602 %!error eig (false)
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	603 %!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	604
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	605 %!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	606 %! 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	607 %!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	608 %! 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	609 %!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	610 %! 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	611 %!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	612 %! 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	613 %!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	614 %! 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	615 %!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	616 %! 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	617 %!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	618 %! 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	619 %!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	620 %! 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	621 %!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	622 %! 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	623 %!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	624 %! 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	625 %!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	626 %! 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	627 %!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	628 %! 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	629 %!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	630 %! 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	631 %!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	632 %! 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	633 %!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	634 %! 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	635 %!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	636 %! 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	637 %!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	638 %! 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	639 %!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	640 %! 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	641 %!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	642 %! 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	643 */
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	644

Mercurial > octave

annotate libinterp/corefcn/eig.cc @ 22407:34ce5be04942