octave: libinterp/corefcn/eig.cc annotate

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

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.

author	Rik <rik@octave.org>
date	Thu, 01 Dec 2022 14:23:45 -0800
parents	796f54d4ddbf
children	597f3ee61a48

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ////////////////////////////////////////////////////////////////////////
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 //
30564 796f54d4ddbf update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 29961 diff changeset	3 // Copyright (C) 1996-2022 The Octave Project Developers
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	4 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 // See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 // distribution or <https://octave.org/copyright/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	7 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	8 // This file is part of Octave.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	9 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	10 // Octave is free software: you can redistribute it and/or modify it
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	11 // under the terms of the GNU General Public License as published by
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	12 // the Free Software Foundation, either version 3 of the License, or
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	13 // (at your option) any later version.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	14 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	15 // Octave is distributed in the hope that it will be useful, but
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	16 // WITHOUT ANY WARRANTY; without even the implied warranty of
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	18 // GNU General Public License for more details.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	19 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	20 // You should have received a copy of the GNU General Public License
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	21 // along with Octave; see the file COPYING. If not, see
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	22 // <https://www.gnu.org/licenses/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ////////////////////////////////////////////////////////////////////////
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	25
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21301 diff changeset	26 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21200 diff changeset	27 # include "config.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	28 #endif
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	29
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	30 #include "defun.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	31 #include "error.h"
21100 e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme. Rik <rik@octave.org> parents: 21024 diff changeset	32 #include "errwarn.h"
20940 48b2ad5ee801 maint: Rename oct-obj.[cc\|h] to ovl.[cc\|h] for clarity. Rik <rik@octave.org> parents: 20918 diff changeset	33 #include "ovl.h"
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	34
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 "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	36 #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	37 #include "oct-string.h"
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	38
31605 e88a07dec498 maint: Use macros to begin/end C++ namespaces. Rik <rik@octave.org> parents: 30564 diff changeset	39 OCTAVE_BEGIN_NAMESPACE(octave)
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	40
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14885 diff changeset	41 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	42 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	43 @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	44 @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	45 @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	46 @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	47 @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	48 @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	49 @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	50 @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	51 @deftypefnx {} {[@dots{}] =} eig (@dots{}, @var{eigvalOption})
23290 0cf53cd75e13 doc: Fix eig output argument description (bug #50524). Victor Norton <vic@norton.name> parents: 23219 diff changeset	52 Compute the eigenvalues (@var{lambda}) and optionally the right eigenvectors
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	53 (@var{V}) and the left eigenvectors (@var{W}) of a matrix or pair of matrices.
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	54
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	55 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	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 @table @asis
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	58 @item @qcode{"balance"} (default)
3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	59 Preliminary balancing is on.
22305 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 @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	62 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	63 @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	64
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	65 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	66
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	67 @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	68 @item @qcode{"matrix"}
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	69 Return the eigenvalues in a diagonal matrix. (default if 2 or 3 outputs
3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	70 are requested)
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	71
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	72 @item @qcode{"vector"}
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	73 Return the eigenvalues in a column vector. (default if only 1 output is
3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	74 requested, e.g., @var{lambda} = eig (@var{A}))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	75 @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	76
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	77 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	78
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	79 @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	80 @item @qcode{"chol"}
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	81 Use the Cholesky factorization of B. (default if @var{A} is symmetric
3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	82 (Hermitian) and @var{B} is symmetric (Hermitian) positive definite)
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	83
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	84 @item @qcode{"qz"}
23565 3a730821e4a2 doc: Peridoc grammarcheck of documentation. Rik <rik@octave.org> parents: 23450 diff changeset	85 Use the QZ algorithm. (used whenever @var{A} or @var{B} are not symmetric)
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	86 @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	87
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	88 @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	89 @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	90 @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	91 @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	92 @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	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 @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	95 @tab @qcode{"qz"}
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	96 @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	97 @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	98 @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	99
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21724 diff changeset	100 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	101 @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	102 @end deftypefn */)
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	103 {
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	104 int nargin = args.length ();
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	105
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	106 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	107 print_usage ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	108
20918 6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	109 octave_value_list retval;
6f0bd96f93c0 maint: Use new C++ archetype in more files. Rik <rik@octave.org> parents: 20909 diff changeset	110
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	111 octave_value arg_a, arg_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	112
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	113 arg_a = args(0);
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	114
23577 80c42f4cca13 maint: Deprecate is_empty and replace with isempty. Rik <rik@octave.org> parents: 23565 diff changeset	115 if (arg_a.isempty ())
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	116 return octave_value_list (2, Matrix ());
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	117
23585 570170b6eb09 maint: Deprecate is_float_type and replace with isfloat. Rik <rik@octave.org> parents: 23582 diff changeset	118 if (! arg_a.isfloat ())
21129 228b65504557 maint: Eliminate useless statements after err_XXX. Rik <rik@octave.org> parents: 21110 diff changeset	119 err_wrong_type_arg ("eig", arg_a);
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	120
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	121 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	122 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	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 // 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	125 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	126
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	127 if (! AEPcase)
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	128 {
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	129 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	130
23577 80c42f4cca13 maint: Deprecate is_empty and replace with isempty. Rik <rik@octave.org> parents: 23565 diff changeset	131 if (arg_b.isempty ())
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	132 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	133
23585 570170b6eb09 maint: Deprecate is_float_type and replace with isfloat. Rik <rik@octave.org> parents: 23582 diff changeset	134 if (! arg_b.isfloat ())
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	135 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	136
22407 34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	137 if (arg_b.rows () != arg_b.columns ())
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	138 err_square_matrix_required ("eig", "B");
34ce5be04942 maint: Style check C++ code in libinterp/. Rik <rik@octave.org> parents: 22323 diff changeset	139 }
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	140
22305 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 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	142 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	143 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	144 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	145 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	146 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	147
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	148 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	149 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	150 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	151 err_wrong_type_arg ("eig", args(i));
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	152
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	153 std::string arg_i = args(i).string_value ();
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	154 if (string::strcmpi (arg_i, "qz"))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	155 qz_flag = true;
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	156 else if (string::strcmpi (arg_i, "chol"))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	157 chol_flag = true;
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	158 else if (string::strcmpi (arg_i, "balance"))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	159 balance_flag = true;
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	160 else if (string::strcmpi (arg_i, "nobalance"))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	161 no_balance_flag = true;
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	162 else if (string::strcmpi (arg_i, "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	163 matrix_flag = true;
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	164 else if (string::strcmpi (arg_i, "vector"))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	165 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	166 else
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	167 error (R"(eig: invalid option "%s")", arg_i.c_str ());
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	168 }
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	169
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	170 if (balance_flag && no_balance_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	171 error (R"(eig: "balance" and "nobalance" options are mutually exclusive)");
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	172 if (vector_flag && matrix_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	173 error (R"(eig: "vector" and "matrix" options are mutually exclusive)");
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 (qz_flag && chol_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	175 error (R"(eig: "qz" and "chol" options are mutually exclusive)");
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	176
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	177 if (AEPcase)
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	178 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	179 if (qz_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	180 error (R"(eig: invalid "qz" option for algebraic eigenvalue problem)");
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	181 if (chol_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	182 error (R"(eig: invalid "chol" option for algebraic eigenvalue problem)");
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	183 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	184 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	185 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	186 if (balance_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	187 error (R"(eig: invalid "balance" option for generalized eigenvalue problem)");
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	188 if (no_balance_flag)
23803 90689bdbe048 Use C++11 raw string literals to avoid escaping double quotes. Rik <rik@octave.org> parents: 23585 diff changeset	189 error (R"(eig: invalid "nobalance" option for generalized eigenvalue problem)");
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	190 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	191
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	192 // Default is to balance
23450 855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)". Rik <rik@octave.org> parents: 23293 diff changeset	193 const bool balance = (no_balance_flag ? false : true);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	194 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	195
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	196
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	197 Matrix tmp_a, tmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	198 ComplexMatrix ctmp_a, ctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	199 FloatMatrix ftmp_a, ftmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	200 FloatComplexMatrix fctmp_a, fctmp_b;
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	201
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	202 if (arg_a.is_single_type ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	203 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	204 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	205 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	206 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23577 diff changeset	207 if (arg_a.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	208 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	209 ftmp_a = arg_a.float_matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	210
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	211 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	212 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	213 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	214 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	215 fctmp_a = arg_a.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 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 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	218 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	219 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	220 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	221 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23577 diff changeset	222 if (arg_a.isreal () && arg_b.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	223 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	224 ftmp_a = arg_a.float_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	225 ftmp_b = arg_b.float_matrix_value ();
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	226
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	227 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	228 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	229 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	230 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	231 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	232 fctmp_a = arg_a.float_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	233 fctmp_b = arg_b.float_complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	234
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	235 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	236 force_qz);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	237 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	238 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	239
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	240 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	241 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	242 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	243 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	244 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	245 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	246 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	247 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	248 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	249 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	250 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	251 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	252 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	253 FloatComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	254 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	255 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	256 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	257 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	258 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	259 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	260 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	261 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	262 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	263 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	264 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	265 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	266 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	267 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	268 {
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	269 EIG result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	270
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	271 if (AEPcase)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	272 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23577 diff changeset	273 if (arg_a.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	274 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	275 tmp_a = arg_a.matrix_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	276
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	277 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	278 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	279 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	280 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	281 ctmp_a = arg_a.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 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 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	284 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	285 }
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	286 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	287 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23577 diff changeset	288 if (arg_a.isreal () && arg_b.isreal ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	289 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	290 tmp_a = arg_a.matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	291 tmp_b = arg_b.matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	292
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	293 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	294 }
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	295 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	296 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	297 ctmp_a = arg_a.complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	298 ctmp_b = arg_b.complex_matrix_value ();
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	299
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	300 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	301 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	302 }
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	303
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	304 if (nargout == 0 \|\| nargout == 1)
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	305 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	306 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	307 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	308 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	309 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	310 }
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	311 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	312 {
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	313 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	314 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	315 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	316 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	317 ComplexDiagMatrix (result.eigenvalues ()));
20555 f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	318 }
f90c8372b7ba eliminate many more simple uses of error_state John W. Eaton <jwe@octave.org> parents: 20490 diff changeset	319 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	320 {
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	321 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	322 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	323 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	324 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	325 else
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	326 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	327 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	328 result.left_eigenvectors ());
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9307 diff changeset	329 }
2928 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 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	333 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	334
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	335 /*
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	336 %!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	337
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	338 %!test
87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	339 %! [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	340 %! 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	341 %! 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	342 %! 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	343
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	344 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	345 %! [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	346 %! 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	347 %! 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	348
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	349 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	350 %! [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	351 %! 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	352 %! 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	353 %! 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	354
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	355 %!test
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	356 %! [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	357 %! 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	358 %! 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	359
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	360 %!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	361
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	362 %!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	363 %! 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	364
7814 87865ed7405f Second set of single precision test code and fix of resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	365 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	366 %! [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	367 %! 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	368 %! 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	369 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	370
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	371 %!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	372 %! [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	373 %! 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	374 %! assert (w, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	375
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	376 %!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	377 %! [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	378 %! 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	379 %! 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	380 %! assert (v, [-x, x; x, x], sqrt (eps ("single")))
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	381
18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	382 %!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	383 %! [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	384 %! 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	385 %! 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	386
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	387
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	388 ## 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	389 ## 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	390 ## 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	391 ## 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	392 %!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	393 %! [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	394 %! [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	395 %! [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	396 %! 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	397 %! 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	398 %! 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	399 %! 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	400 %! 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	401 %! 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	402 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	403
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	404 %!test nonsym_chol_2_output ([1, 2; -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	405 %!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	406 %!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	407
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	408 %!test nonsym_chol_2_output (single ([1, 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	409 %! 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	410 %!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	411 %! 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	412 %! 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	413
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	414 %!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	415 %! [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	416 %! [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	417 %! [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	418 %! 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	419 %! 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	420 %! 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	421 %! 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	422 %! 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	423 %! 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	424 %! 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	425 %! 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	426 %! 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	427 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	428
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	429 %!test nonsym_chol_3_output ([1, 2; -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	430 %!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	431 %!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	432
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	433 %!test nonsym_chol_3_output (single ([1, 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	434 %! 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	435 %!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	436 %! 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	437 %! 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	438
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	439 ## 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	440 ## 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	441 ## 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	442 %!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	443 %! [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	444 %! [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	445 %! 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	446 %! 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	447 %! 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	448 %! 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	449 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	450
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	451 %!test sym_chol_2_input ([1, 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	452 %!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	453 %!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	454
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	455 %!test sym_chol_2_input (single ([1, 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	456 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	457 %!test sym_chol_2_input (single ([1+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	458 %! 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	459 %!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	460 %! 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	461
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	462 %!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	463 %! [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	464 %! [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	465 %! 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	466 %! 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	467 %! 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	468 %! 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	469 %! 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	470 %! 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	471 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	472
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	473 %!test sym_chol_3_input ([1, 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	474 %!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	475 %!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	476
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	477 %!test sym_chol_3_input (single ([1, 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	478 %! sqrt (eps ("single")))
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	479 %!test sym_chol_3_input (single ([1+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	480 %! 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	481 %!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	482 %! 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	483
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	484 ## "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	485 ## 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	486 ## while in this case "nobalance" should produce different result
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	487 %!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	488 %! 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	489 %! [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	490 %! [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	491 %! [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	492 %! 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	493 %! 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	494 %! 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	495
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	496 ## 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	497 ## 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	498 ## 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	499 ## 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	500 ## 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	501 ## 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	502 %!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	503 %! [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	504 %! [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	505 %! 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	506 %! 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	507 %! 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	508 %! 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	509 %! 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	510 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	511
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	512 %!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	513 %! 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	514 %! "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	515 %! 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	516 %! {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	517 %! 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	518 %! {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	519 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	520 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	521
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	522 %!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	523 %! 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	524 %! "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	525 %! 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	526 %! {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	527 %! 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	528 %! {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	529 %! endfor
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	530 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	531
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	532 ## 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	533 ## 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	534 ## 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	535 %!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	536 %! d = eig (args{:});
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	537 %! assert (isvector (d))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	538 %! d2 = eig (args{:}, "vector");
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	539 %! assert (isvector (d2))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	540 %! [v, d3] = eig (args{:});
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	541 %! assert (isdiag (d3))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	542 %! d4 = eig (args{:}, "matrix");
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	543 %! assert (isdiag (d4))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	544 %! [v, d5, w] = eig (args{:});
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	545 %! assert (isdiag (d5))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	546 %! d6 = eig (args{:}, "matrix");
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	547 %! assert (isdiag (d6))
22305 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, d2)
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 (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	550 %! assert (d5, d6)
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	551 %! assert (d, diag (d3))
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	552 %! assert (d, diag (d5))
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	553 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	554
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	555 %!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	556 %! 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	557 %!endfunction
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	558
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	559 %!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	560 %! 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	561 %!endfunction
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 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	564 %!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	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 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	567 %!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	568
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	569 %!test qz_chol_with_shapes ([1, 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	570 %!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	571 %!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	572
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	573 %!test qz_chol_with_shapes (single ([1, 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	574 %!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	575 %!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	576
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	577 %!test shapes_GEP ([1, 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	578 %!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	579 %!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	580
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	581 %!test shapes_GEP (single ([1, 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	582 %!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	583 %!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	584
23942 9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	585 ## Check if correct default method is used for symmetric input
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	586 %!function chol_qz_accuracy (A, B, is_qz_accurate, is_chol_accurate)
23942 9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	587 %! [V1, D1] = eig (A, B, 'qz');
9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	588 %! [V2, D2] = eig (A, B); #default is chol
9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	589 %! assert (isequal (AV1, AV1*D1), is_qz_accurate)
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 %! 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	591 %!endfunction
8339 18c4ded8612a Add generalized eigenvalue functions Jarkko Kaleva <d3roga@gmail.com> parents: 7814 diff changeset	592 %!test
23942 9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	593 %! minij_100 = gallery ('minij', 100);
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 %! chol_qz_accuracy (minij_100, minij_100, false, true);
23942 9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	595 %! moler_100 = gallery ('moler', 100);
22305 510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	596 %! chol_qz_accuracy (moler_100, moler_100, false, true);
23942 9c736cc2ee94 Fix BIST for eig on Windows 64bit (bug #49470). Markus Mützel <markus.muetzel@gmx.de> parents: 23803 diff changeset	597 %! A = diag([1e-16, 1e-15]);
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 %! 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	599
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	600 %!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	601 %!error eig (false)
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	602 %!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	603
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	604 %!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	605 %! 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	606 %!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	607 %! 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	608 %!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	609 %! 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	610 %!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	611 %! 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	612 %!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	613 %! 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	614 %!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	615 %! 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	616 %!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	617 %! 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	618 %!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	619 %! 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	620 %!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	621 %! 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	622 %!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	623 %! 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	624 %!error <invalid option "abcd">
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	625 %! eig ([1 2 ; 2 3], "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	626 %!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	627 %! 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	628 %!error <"balance" and "nobalance" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	629 %! eig ([1 2 ; 2 3], "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	630 %!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	631 %! 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	632 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	633 %! eig ([1 2 ; 2 3], "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	634 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	635 %! eig ([1 2 ; 2 3], [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	636 %!error <"vector" and "matrix" options are mutually exclusive>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	637 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], "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	638 %!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	639 %! 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	640 %!error <wrong type argument>
510886d03ef2 eig: new options for choice of algorithm, balancing, and output (patch #8960) Barbara Locsi <locsi.barbara@gmail.com> parents: 21966 diff changeset	641 %! eig ([1 2 ; 2 3], [1 2 ; 2 3], [1 2 ; 2 3])
2928 295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe] jwe parents: diff changeset	642 */
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	643
31605 e88a07dec498 maint: Use macros to begin/end C++ namespaces. Rik <rik@octave.org> parents: 30564 diff changeset	644 OCTAVE_END_NAMESPACE(octave)

Mercurial > octave

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