Mercurial > octave
annotate libinterp/corefcn/balance.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc,
ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc,
PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc,
SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc,
ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc,
file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc,
marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc,
settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc,
thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc,
build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc,
__dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc,
bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c,
colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc,
dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc,
fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc,
hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc,
jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc,
ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc,
mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc,
oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc,
oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc,
oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc,
ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc,
psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc,
schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc,
toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc,
op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc,
op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc,
op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc,
op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc,
op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc,
DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc,
lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc,
sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc,
mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc,
oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c,
glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc,
display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc,
octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
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date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | f08ae27289e4 |
children | aba2e6293dd8 |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
11523 | 4 Copyright (C) 2008-2009 Jaroslav Hajek |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
2928 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
2928 | 21 |
22 */ | |
23 | |
3911 | 24 // Author: A. S. Hodel <scotte@eng.auburn.edu> |
2928 | 25 |
26 #ifdef HAVE_CONFIG_H | |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
30 #include <string> | |
31 | |
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32 #include "CMatrix.h" |
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33 #include "aepbalance.h" |
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34 #include "dMatrix.h" |
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35 #include "fCMatrix.h" |
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36 #include "fMatrix.h" |
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37 #include "gepbalance.h" |
4153 | 38 #include "quit.h" |
2928 | 39 |
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40 #include "defun.h" |
2928 | 41 #include "error.h" |
3181 | 42 #include "f77-fcn.h" |
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43 #include "errwarn.h" |
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44 #include "ovl.h" |
2928 | 45 #include "utils.h" |
46 | |
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47 DEFUN (balance, args, nargout, |
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48 "-*- texinfo -*-\n\ |
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49 @deftypefn {} {@var{AA} =} balance (@var{A})\n\ |
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50 @deftypefnx {} {@var{AA} =} balance (@var{A}, @var{opt})\n\ |
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51 @deftypefnx {} {[@var{DD}, @var{AA}] =} balance (@var{A}, @var{opt})\n\ |
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52 @deftypefnx {} {[@var{D}, @var{P}, @var{AA}] =} balance (@var{A}, @var{opt})\n\ |
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53 @deftypefnx {} {[@var{CC}, @var{DD}, @var{AA}, @var{BB}] =} balance (@var{A}, @var{B}, @var{opt})\n\ |
2928 | 54 \n\ |
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55 Balance the matrix @var{A} to reduce numerical errors in future\n\ |
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56 calculations.\n\ |
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57 \n\ |
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58 Compute @code{@var{AA} = @var{DD} \\ @var{A} * @var{DD}} in which @var{AA}\n\ |
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59 is a matrix whose row and column norms are roughly equal in magnitude, and\n\ |
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60 @code{@var{DD} = @var{P} * @var{D}}, in which @var{P} is a permutation\n\ |
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61 matrix and @var{D} is a diagonal matrix of powers of two. This allows the\n\ |
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62 equilibration to be computed without round-off. Results of eigenvalue\n\ |
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63 calculation are typically improved by balancing first.\n\ |
2928 | 64 \n\ |
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65 If two output values are requested, @code{balance} returns\n\ |
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66 the diagonal @var{D} and the permutation @var{P} separately as vectors.\n\ |
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67 In this case, @code{@var{DD} = eye(n)(:,@var{P}) * diag (@var{D})}, where\n\ |
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68 @math{n} is the matrix size.\n\ |
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69 \n\ |
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70 If four output values are requested, compute @code{@var{AA} =\n\ |
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71 @var{CC}*@var{A}*@var{DD}} and @code{@var{BB} = @var{CC}*@var{B}*@var{DD}},\n\ |
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72 in which @var{AA} and @var{BB} have nonzero elements of approximately the\n\ |
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73 same magnitude and @var{CC} and @var{DD} are permuted diagonal matrices as\n\ |
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74 in @var{DD} for the algebraic eigenvalue problem.\n\ |
3372 | 75 \n\ |
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76 The eigenvalue balancing option @var{opt} may be one of:\n\ |
2928 | 77 \n\ |
3372 | 78 @table @asis\n\ |
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79 @item @qcode{\"noperm\"}, @qcode{\"S\"}\n\ |
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80 Scale only; do not permute.\n\ |
3372 | 81 \n\ |
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82 @item @qcode{\"noscal\"}, @qcode{\"P\"}\n\ |
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83 Permute only; do not scale.\n\ |
3372 | 84 @end table\n\ |
2928 | 85 \n\ |
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86 Algebraic eigenvalue balancing uses standard @sc{lapack} routines.\n\ |
3372 | 87 \n\ |
88 Generalized eigenvalue problem balancing uses Ward's algorithm\n\ | |
89 (SIAM Journal on Scientific and Statistical Computing, 1981).\n\ | |
90 @end deftypefn") | |
2928 | 91 { |
92 int nargin = args.length (); | |
93 | |
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94 if (nargin < 1 || nargin > 3 || nargout < 0) |
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95 print_usage (); |
2928 | 96 |
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97 octave_value_list retval; |
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98 |
3181 | 99 // determine if it's AEP or GEP |
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100 bool AEPcase = nargin == 1 || args(1).is_string (); |
2928 | 101 |
3181 | 102 // problem dimension |
5275 | 103 octave_idx_type nn = args(0).rows (); |
2928 | 104 |
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105 if (nn != args(0).columns ()) |
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106 err_square_matrix_required ("balance", "A"); |
2928 | 107 |
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108 bool isfloat = args(0).is_single_type () |
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109 || (! AEPcase && args(1).is_single_type ()); |
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110 |
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111 bool complex_case = args(0).is_complex_type () |
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112 || (! AEPcase && args(1).is_complex_type ()); |
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113 |
2928 | 114 // Extract argument 1 parameter for both AEP and GEP. |
115 Matrix aa; | |
116 ComplexMatrix caa; | |
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117 FloatMatrix faa; |
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118 FloatComplexMatrix fcaa; |
3185 | 119 |
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120 if (isfloat) |
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121 { |
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122 if (complex_case) |
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123 fcaa = args(0).float_complex_matrix_value (); |
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124 else |
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125 faa = args(0).float_matrix_value (); |
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126 } |
3185 | 127 else |
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128 { |
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129 if (complex_case) |
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130 caa = args(0).complex_matrix_value (); |
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131 else |
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132 aa = args(0).matrix_value (); |
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133 } |
3185 | 134 |
2928 | 135 // Treat AEP/GEP cases. |
3185 | 136 if (AEPcase) |
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137 { |
3185 | 138 // Algebraic eigenvalue problem. |
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139 bool noperm = false; |
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140 bool noscal = false; |
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141 if (nargin > 1) |
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142 { |
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143 std::string a1s = args(1).string_value (); |
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144 noperm = a1s == "noperm" || a1s == "S"; |
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145 noscal = a1s == "noscal" || a1s == "P"; |
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146 } |
3185 | 147 |
148 // balance the AEP | |
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149 if (isfloat) |
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150 { |
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151 if (complex_case) |
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152 { |
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153 aepbalance<FloatComplexMatrix> result (fcaa, noperm, noscal); |
2928 | 154 |
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155 if (nargout == 0 || nargout == 1) |
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156 retval = ovl (result.balanced_matrix ()); |
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157 else if (nargout == 2) |
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158 retval = ovl (result.balancing_matrix (), |
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159 result.balanced_matrix ()); |
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160 else |
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161 retval = ovl (result.scaling_vector (), |
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162 result.permuting_vector (), |
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163 result.balanced_matrix ()); |
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164 } |
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165 else |
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166 { |
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167 aepbalance<FloatMatrix> result (faa, noperm, noscal); |
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168 |
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169 if (nargout == 0 || nargout == 1) |
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170 retval = ovl (result.balanced_matrix ()); |
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171 else if (nargout == 2) |
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172 retval = ovl (result.balancing_matrix (), |
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173 result.balanced_matrix ()); |
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174 else |
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175 retval = ovl (result.scaling_vector (), |
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176 result.permuting_vector (), |
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177 result.balanced_matrix ()); |
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178 } |
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179 } |
3181 | 180 else |
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181 { |
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182 if (complex_case) |
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183 { |
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184 aepbalance<ComplexMatrix> result (caa, noperm, noscal); |
3185 | 185 |
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186 if (nargout == 0 || nargout == 1) |
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187 retval = ovl (result.balanced_matrix ()); |
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188 else if (nargout == 2) |
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189 retval = ovl (result.balancing_matrix (), |
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190 result.balanced_matrix ()); |
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191 else |
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192 retval = ovl (result.scaling_vector (), |
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193 result.permuting_vector (), |
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194 result.balanced_matrix ()); |
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195 } |
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196 else |
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197 { |
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198 aepbalance<Matrix> result (aa, noperm, noscal); |
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199 |
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200 if (nargout == 0 || nargout == 1) |
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201 retval = ovl (result.balanced_matrix ()); |
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202 else if (nargout == 2) |
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203 retval = ovl (result.balancing_matrix (), |
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204 result.balanced_matrix ()); |
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205 else |
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206 retval = ovl (result.scaling_vector (), |
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207 result.permuting_vector (), |
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208 result.balanced_matrix ()); |
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209 } |
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210 } |
3181 | 211 } |
212 else | |
213 { | |
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214 std::string bal_job; |
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215 if (nargout == 1) |
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216 warning ("balance: used GEP, should have two output arguments"); |
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217 |
3185 | 218 // Generalized eigenvalue problem. |
219 if (nargin == 2) | |
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220 bal_job = "B"; |
3185 | 221 else |
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222 bal_job = args(2).xstring_value ("balance: OPT argument must be a string"); |
3185 | 223 |
224 if ((nn != args(1).columns ()) || (nn != args(1).rows ())) | |
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225 err_nonconformant (); |
3185 | 226 |
227 Matrix bb; | |
228 ComplexMatrix cbb; | |
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229 FloatMatrix fbb; |
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230 FloatComplexMatrix fcbb; |
3185 | 231 |
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232 if (isfloat) |
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233 { |
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234 if (complex_case) |
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235 fcbb = args(1).float_complex_matrix_value (); |
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236 else |
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237 fbb = args(1).float_matrix_value (); |
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238 } |
3185 | 239 else |
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240 { |
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241 if (complex_case) |
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242 cbb = args(1).complex_matrix_value (); |
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243 else |
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244 bb = args(1).matrix_value (); |
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245 } |
4153 | 246 |
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247 // balance the GEP |
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248 if (isfloat) |
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249 { |
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250 if (complex_case) |
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251 { |
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252 gepbalance<FloatComplexMatrix> result (fcaa, fcbb, bal_job); |
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253 |
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254 switch (nargout) |
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255 { |
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256 case 4: |
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257 retval(3) = result.balanced_matrix2 (); |
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258 // fall through |
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259 case 3: |
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260 retval(2) = result.balanced_matrix (); |
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261 retval(1) = result.balancing_matrix2 (); |
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262 retval(0) = result.balancing_matrix (); |
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263 break; |
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264 case 2: |
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265 retval(1) = result.balancing_matrix2 (); |
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266 // fall through |
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267 case 1: |
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268 retval(0) = result.balancing_matrix (); |
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269 break; |
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270 default: |
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271 error ("balance: invalid number of output arguments"); |
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272 break; |
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273 } |
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274 } |
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275 else |
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276 { |
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277 gepbalance<FloatMatrix> result (faa, fbb, bal_job); |
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278 |
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279 switch (nargout) |
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280 { |
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281 case 4: |
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282 retval(3) = result.balanced_matrix2 (); |
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283 // fall through |
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284 case 3: |
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285 retval(2) = result.balanced_matrix (); |
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286 retval(1) = result.balancing_matrix2 (); |
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287 retval(0) = result.balancing_matrix (); |
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288 break; |
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289 case 2: |
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290 retval(1) = result.balancing_matrix2 (); |
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291 // fall through |
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292 case 1: |
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293 retval(0) = result.balancing_matrix (); |
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294 break; |
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295 default: |
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296 error ("balance: invalid number of output arguments"); |
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297 break; |
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298 } |
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299 } |
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300 } |
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301 else |
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302 { |
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303 if (complex_case) |
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304 { |
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305 gepbalance<ComplexMatrix> result (caa, cbb, bal_job); |
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306 |
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307 switch (nargout) |
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308 { |
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309 case 4: |
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310 retval(3) = result.balanced_matrix2 (); |
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311 // fall through |
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312 case 3: |
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313 retval(2) = result.balanced_matrix (); |
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314 retval(1) = result.balancing_matrix2 (); |
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315 retval(0) = result.balancing_matrix (); |
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316 break; |
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317 case 2: |
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318 retval(1) = result.balancing_matrix2 (); |
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319 // fall through |
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320 case 1: |
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321 retval(0) = result.balancing_matrix (); |
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322 break; |
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323 default: |
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324 error ("balance: invalid number of output arguments"); |
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325 break; |
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326 } |
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327 } |
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328 else |
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329 { |
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330 gepbalance<Matrix> result (aa, bb, bal_job); |
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331 |
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332 switch (nargout) |
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333 { |
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334 case 4: |
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335 retval(3) = result.balanced_matrix2 (); |
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336 // fall through |
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337 case 3: |
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338 retval(2) = result.balanced_matrix (); |
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339 retval(1) = result.balancing_matrix2 (); |
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340 retval(0) = result.balancing_matrix (); |
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341 break; |
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342 case 2: |
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343 retval(1) = result.balancing_matrix2 (); |
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344 // fall through |
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345 case 1: |
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346 retval(0) = result.balancing_matrix (); |
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347 break; |
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348 default: |
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349 error ("balance: invalid number of output arguments"); |
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350 break; |
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351 } |
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352 } |
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353 } |
2928 | 354 } |
3185 | 355 |
2928 | 356 return retval; |
357 } |