Mercurial > octave
annotate liboctave/numeric/schur.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 | aac27ad79be6 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1994-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
457 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
457 | 28 #endif |
29 | |
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30 #include "Array.h" |
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31 #include "CMatrix.h" |
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32 #include "dMatrix.h" |
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33 #include "fCMatrix.h" |
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34 #include "fMatrix.h" |
457 | 35 #include "lo-error.h" |
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36 #include "lo-lapack-proto.h" |
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37 #include "oct-locbuf.h" |
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38 #include "schur.h" |
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39 |
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40 OCTAVE_BEGIN_NAMESPACE(octave) |
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41 |
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42 OCTAVE_BEGIN_NAMESPACE(math) |
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43 |
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44 // For real types. |
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45 |
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46 static F77_INT |
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47 select_ana (const double& a, const double&) |
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48 { |
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49 return (a < 0.0); |
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50 } |
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51 |
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52 static F77_INT |
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53 select_dig (const double& a, const double& b) |
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54 { |
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55 return (hypot (a, b) < 1.0); |
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56 } |
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57 |
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58 static F77_INT |
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59 select_ana (const float& a, const float&) |
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60 { |
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61 return (a < 0.0); |
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62 } |
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63 |
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64 static F77_INT |
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65 select_dig (const float& a, const float& b) |
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66 { |
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67 return (hypot (a, b) < 1.0); |
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68 } |
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69 |
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70 // For complex types. |
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71 |
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72 static F77_INT |
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73 select_ana (const F77_DBLE_CMPLX& a_arg) |
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74 { |
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75 const Complex a = reinterpret_cast<const Complex&> (a_arg); |
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76 return a.real () < 0.0; |
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77 } |
1929 | 78 |
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79 static F77_INT |
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80 select_dig (const F77_DBLE_CMPLX& a_arg) |
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81 { |
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82 const Complex& a = reinterpret_cast<const Complex&> (a_arg); |
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83 return (abs (a) < 1.0); |
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84 } |
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85 |
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86 static F77_INT |
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87 select_ana (const F77_CMPLX& a_arg) |
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88 { |
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89 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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90 return a.real () < 0.0; |
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91 } |
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92 |
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93 static F77_INT |
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94 select_dig (const F77_CMPLX& a_arg) |
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95 { |
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96 const FloatComplex& a = reinterpret_cast<const FloatComplex&> (a_arg); |
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97 return (abs (a) < 1.0); |
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98 } |
457 | 99 |
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100 template <> |
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101 OCTAVE_API F77_INT |
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102 schur<Matrix>::init (const Matrix& a, const std::string& ord, |
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103 bool calc_unitary) |
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104 { |
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105 F77_INT a_nr = to_f77_int (a.rows ()); |
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106 F77_INT a_nc = to_f77_int (a.cols ()); |
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107 |
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108 if (a_nr != a_nc) |
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109 (*current_liboctave_error_handler) ("schur: requires square matrix"); |
3334 | 110 |
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111 if (a_nr == 0) |
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112 { |
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113 m_schur_mat.clear (); |
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114 m_unitary_schur_mat.clear (); |
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115 return 0; |
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116 } |
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117 |
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118 // Workspace requirements may need to be fixed if any of the |
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119 // following change. |
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121 char jobvs; |
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122 char sense = 'N'; |
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123 char sort = 'N'; |
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124 |
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125 if (calc_unitary) |
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126 jobvs = 'V'; |
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127 else |
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128 jobvs = 'N'; |
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130 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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131 |
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132 if (ord_char == 'A' || ord_char == 'D' |
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133 || ord_char == 'a' || ord_char == 'd') |
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134 sort = 'S'; |
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136 volatile double_selector selector = nullptr; |
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137 if (ord_char == 'A' || ord_char == 'a') |
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138 selector = select_ana; |
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139 else if (ord_char == 'D' || ord_char == 'd') |
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140 selector = select_dig; |
457 | 141 |
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142 F77_INT n = a_nc; |
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143 F77_INT lwork = 8 * n; |
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144 F77_INT liwork = 1; |
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145 F77_INT info; |
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146 F77_INT sdim; |
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147 double rconde; |
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148 double rcondv; |
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149 |
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150 m_schur_mat = a; |
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151 |
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152 if (calc_unitary) |
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153 m_unitary_schur_mat.clear (n, n); |
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154 |
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155 double *s = m_schur_mat.fortran_vec (); |
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156 double *q = m_unitary_schur_mat.fortran_vec (); |
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157 |
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158 Array<double> wr (dim_vector (n, 1)); |
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159 double *pwr = wr.fortran_vec (); |
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160 |
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161 Array<double> wi (dim_vector (n, 1)); |
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162 double *pwi = wi.fortran_vec (); |
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164 Array<double> work (dim_vector (lwork, 1)); |
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165 double *pwork = work.fortran_vec (); |
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166 |
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167 // BWORK is not referenced for the non-ordered Schur routine. |
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168 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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169 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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170 F77_INT *pbwork = bwork.fortran_vec (); |
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171 |
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172 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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173 F77_INT *piwork = iwork.fortran_vec (); |
457 | 174 |
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175 F77_XFCN (dgeesx, DGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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176 F77_CONST_CHAR_ARG2 (&sort, 1), |
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177 selector, |
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178 F77_CONST_CHAR_ARG2 (&sense, 1), |
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179 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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180 pwork, lwork, piwork, liwork, pbwork, info |
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181 F77_CHAR_ARG_LEN (1) |
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182 F77_CHAR_ARG_LEN (1) |
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183 F77_CHAR_ARG_LEN (1))); |
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185 return info; |
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186 } |
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188 template <> |
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189 OCTAVE_API F77_INT |
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190 schur<FloatMatrix>::init (const FloatMatrix& a, const std::string& ord, |
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191 bool calc_unitary) |
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192 { |
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193 F77_INT a_nr = to_f77_int (a.rows ()); |
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194 F77_INT a_nc = to_f77_int (a.cols ()); |
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196 if (a_nr != a_nc) |
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197 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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198 |
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199 if (a_nr == 0) |
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200 { |
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201 m_schur_mat.clear (); |
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202 m_unitary_schur_mat.clear (); |
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203 return 0; |
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204 } |
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206 // Workspace requirements may need to be fixed if any of the |
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207 // following change. |
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208 |
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209 char jobvs; |
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210 char sense = 'N'; |
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211 char sort = 'N'; |
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213 if (calc_unitary) |
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214 jobvs = 'V'; |
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215 else |
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216 jobvs = 'N'; |
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217 |
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218 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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219 |
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220 if (ord_char == 'A' || ord_char == 'D' |
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221 || ord_char == 'a' || ord_char == 'd') |
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222 sort = 'S'; |
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223 |
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224 volatile float_selector selector = nullptr; |
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225 if (ord_char == 'A' || ord_char == 'a') |
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226 selector = select_ana; |
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227 else if (ord_char == 'D' || ord_char == 'd') |
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228 selector = select_dig; |
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230 F77_INT n = a_nc; |
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231 F77_INT lwork = 8 * n; |
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232 F77_INT liwork = 1; |
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233 F77_INT info; |
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234 F77_INT sdim; |
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235 float rconde; |
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236 float rcondv; |
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237 |
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238 m_schur_mat = a; |
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240 if (calc_unitary) |
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241 m_unitary_schur_mat.clear (n, n); |
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242 |
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243 float *s = m_schur_mat.fortran_vec (); |
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244 float *q = m_unitary_schur_mat.fortran_vec (); |
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245 |
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246 Array<float> wr (dim_vector (n, 1)); |
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247 float *pwr = wr.fortran_vec (); |
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248 |
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249 Array<float> wi (dim_vector (n, 1)); |
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250 float *pwi = wi.fortran_vec (); |
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252 Array<float> work (dim_vector (lwork, 1)); |
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253 float *pwork = work.fortran_vec (); |
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254 |
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255 // BWORK is not referenced for the non-ordered Schur routine. |
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256 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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257 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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258 F77_INT *pbwork = bwork.fortran_vec (); |
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259 |
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260 Array<F77_INT> iwork (dim_vector (liwork, 1)); |
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261 F77_INT *piwork = iwork.fortran_vec (); |
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262 |
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263 F77_XFCN (sgeesx, SGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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264 F77_CONST_CHAR_ARG2 (&sort, 1), |
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265 selector, |
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266 F77_CONST_CHAR_ARG2 (&sense, 1), |
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267 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv, |
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268 pwork, lwork, piwork, liwork, pbwork, info |
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269 F77_CHAR_ARG_LEN (1) |
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270 F77_CHAR_ARG_LEN (1) |
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271 F77_CHAR_ARG_LEN (1))); |
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272 |
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273 return info; |
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274 } |
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275 |
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276 template <> |
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277 OCTAVE_API F77_INT |
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278 schur<ComplexMatrix>::init (const ComplexMatrix& a, const std::string& ord, |
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279 bool calc_unitary) |
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280 { |
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281 F77_INT a_nr = to_f77_int (a.rows ()); |
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282 F77_INT a_nc = to_f77_int (a.cols ()); |
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283 |
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284 if (a_nr != a_nc) |
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285 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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286 |
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287 if (a_nr == 0) |
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288 { |
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289 m_schur_mat.clear (); |
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290 m_unitary_schur_mat.clear (); |
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291 return 0; |
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292 } |
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293 |
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294 // Workspace requirements may need to be fixed if any of the |
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295 // following change. |
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296 |
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297 char jobvs; |
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298 char sense = 'N'; |
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299 char sort = 'N'; |
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300 |
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301 if (calc_unitary) |
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302 jobvs = 'V'; |
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303 else |
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304 jobvs = 'N'; |
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305 |
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306 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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307 |
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308 if (ord_char == 'A' || ord_char == 'D' |
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309 || ord_char == 'a' || ord_char == 'd') |
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310 sort = 'S'; |
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311 |
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312 volatile complex_selector selector = nullptr; |
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313 if (ord_char == 'A' || ord_char == 'a') |
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314 selector = select_ana; |
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315 else if (ord_char == 'D' || ord_char == 'd') |
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316 selector = select_dig; |
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317 |
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318 F77_INT n = a_nc; |
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319 F77_INT lwork = 8 * n; |
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320 F77_INT info; |
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321 F77_INT sdim; |
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322 double rconde; |
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323 double rcondv; |
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324 |
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325 m_schur_mat = a; |
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326 if (calc_unitary) |
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327 m_unitary_schur_mat.clear (n, n); |
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328 |
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329 Complex *s = m_schur_mat.fortran_vec (); |
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330 Complex *q = m_unitary_schur_mat.fortran_vec (); |
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331 |
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332 Array<double> rwork (dim_vector (n, 1)); |
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333 double *prwork = rwork.fortran_vec (); |
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334 |
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335 Array<Complex> w (dim_vector (n, 1)); |
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336 Complex *pw = w.fortran_vec (); |
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337 |
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338 Array<Complex> work (dim_vector (lwork, 1)); |
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339 Complex *pwork = work.fortran_vec (); |
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340 |
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341 // BWORK is not referenced for non-ordered Schur. |
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342 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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343 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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344 F77_INT *pbwork = bwork.fortran_vec (); |
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345 |
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346 F77_XFCN (zgeesx, ZGEESX, |
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347 (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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348 F77_CONST_CHAR_ARG2 (&sort, 1), |
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349 selector, |
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350 F77_CONST_CHAR_ARG2 (&sense, 1), |
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351 n, F77_DBLE_CMPLX_ARG (s), n, sdim, F77_DBLE_CMPLX_ARG (pw), |
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352 F77_DBLE_CMPLX_ARG (q), n, rconde, rcondv, |
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353 F77_DBLE_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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354 F77_CHAR_ARG_LEN (1) |
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355 F77_CHAR_ARG_LEN (1) |
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356 F77_CHAR_ARG_LEN (1))); |
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357 |
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358 return info; |
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359 } |
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360 |
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361 template <> |
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362 OCTAVE_API schur<ComplexMatrix> |
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363 rsf2csf<ComplexMatrix, Matrix> (const Matrix& s_arg, const Matrix& u_arg) |
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364 { |
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365 ComplexMatrix s (s_arg); |
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366 ComplexMatrix u (u_arg); |
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367 |
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368 F77_INT n = to_f77_int (s.rows ()); |
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369 |
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370 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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371 (*current_liboctave_error_handler) |
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372 ("rsf2csf: inconsistent matrix dimensions"); |
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373 |
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374 if (n > 0) |
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375 { |
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376 OCTAVE_LOCAL_BUFFER (double, c, n-1); |
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377 OCTAVE_LOCAL_BUFFER (double, sx, n-1); |
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378 |
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379 F77_XFCN (zrsf2csf, ZRSF2CSF, |
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380 (n, F77_DBLE_CMPLX_ARG (s.fortran_vec ()), |
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381 F77_DBLE_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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382 } |
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383 |
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384 return schur<ComplexMatrix> (s, u); |
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385 } |
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386 |
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387 template <> |
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388 OCTAVE_API F77_INT |
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389 schur<FloatComplexMatrix>::init (const FloatComplexMatrix& a, |
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390 const std::string& ord, bool calc_unitary) |
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391 { |
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392 F77_INT a_nr = to_f77_int (a.rows ()); |
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393 F77_INT a_nc = to_f77_int (a.cols ()); |
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394 |
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395 if (a_nr != a_nc) |
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396 (*current_liboctave_error_handler) ("SCHUR requires square matrix"); |
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397 |
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398 if (a_nr == 0) |
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399 { |
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400 m_schur_mat.clear (); |
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401 m_unitary_schur_mat.clear (); |
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402 return 0; |
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403 } |
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404 |
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405 // Workspace requirements may need to be fixed if any of the |
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406 // following change. |
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407 |
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408 char jobvs; |
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409 char sense = 'N'; |
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410 char sort = 'N'; |
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411 |
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412 if (calc_unitary) |
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413 jobvs = 'V'; |
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414 else |
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415 jobvs = 'N'; |
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416 |
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417 char ord_char = (ord.empty () ? 'U' : ord[0]); |
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418 |
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419 if (ord_char == 'A' || ord_char == 'D' |
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420 || ord_char == 'a' || ord_char == 'd') |
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421 sort = 'S'; |
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422 |
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423 volatile float_complex_selector selector = nullptr; |
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424 if (ord_char == 'A' || ord_char == 'a') |
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425 selector = select_ana; |
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426 else if (ord_char == 'D' || ord_char == 'd') |
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427 selector = select_dig; |
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428 |
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429 F77_INT n = a_nc; |
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430 F77_INT lwork = 8 * n; |
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431 F77_INT info; |
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432 F77_INT sdim; |
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433 float rconde; |
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434 float rcondv; |
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435 |
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436 m_schur_mat = a; |
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437 if (calc_unitary) |
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438 m_unitary_schur_mat.clear (n, n); |
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439 |
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440 FloatComplex *s = m_schur_mat.fortran_vec (); |
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441 FloatComplex *q = m_unitary_schur_mat.fortran_vec (); |
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442 |
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443 Array<float> rwork (dim_vector (n, 1)); |
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444 float *prwork = rwork.fortran_vec (); |
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445 |
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446 Array<FloatComplex> w (dim_vector (n, 1)); |
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447 FloatComplex *pw = w.fortran_vec (); |
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448 |
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449 Array<FloatComplex> work (dim_vector (lwork, 1)); |
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450 FloatComplex *pwork = work.fortran_vec (); |
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451 |
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452 // BWORK is not referenced for non-ordered Schur. |
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453 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n; |
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454 Array<F77_INT> bwork (dim_vector (ntmp, 1)); |
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455 F77_INT *pbwork = bwork.fortran_vec (); |
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456 |
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457 F77_XFCN (cgeesx, CGEESX, |
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458 (F77_CONST_CHAR_ARG2 (&jobvs, 1), |
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459 F77_CONST_CHAR_ARG2 (&sort, 1), |
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460 selector, |
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461 F77_CONST_CHAR_ARG2 (&sense, 1), |
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462 n, F77_CMPLX_ARG (s), n, sdim, F77_CMPLX_ARG (pw), |
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463 F77_CMPLX_ARG (q), n, |
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464 rconde, rcondv, |
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465 F77_CMPLX_ARG (pwork), lwork, prwork, pbwork, info |
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466 F77_CHAR_ARG_LEN (1) |
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467 F77_CHAR_ARG_LEN (1) |
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468 F77_CHAR_ARG_LEN (1))); |
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469 |
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470 return info; |
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471 } |
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472 |
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473 template <> |
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474 OCTAVE_API schur<FloatComplexMatrix> |
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475 rsf2csf<FloatComplexMatrix, FloatMatrix> (const FloatMatrix& s_arg, |
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476 const FloatMatrix& u_arg) |
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477 { |
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478 FloatComplexMatrix s (s_arg); |
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479 FloatComplexMatrix u (u_arg); |
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480 |
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481 F77_INT n = to_f77_int (s.rows ()); |
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482 |
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483 if (s.columns () != n || u.rows () != n || u.columns () != n) |
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484 (*current_liboctave_error_handler) |
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485 ("rsf2csf: inconsistent matrix dimensions"); |
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486 |
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487 if (n > 0) |
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488 { |
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489 OCTAVE_LOCAL_BUFFER (float, c, n-1); |
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490 OCTAVE_LOCAL_BUFFER (float, sx, n-1); |
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491 |
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492 F77_XFCN (crsf2csf, CRSF2CSF, |
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493 (n, F77_CMPLX_ARG (s.fortran_vec ()), |
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494 F77_CMPLX_ARG (u.fortran_vec ()), c, sx)); |
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495 } |
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496 |
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497 return schur<FloatComplexMatrix> (s, u); |
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498 } |
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499 |
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500 // Instantiations we need. |
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501 |
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502 template class schur<ComplexMatrix>; |
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503 |
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504 template class schur<FloatComplexMatrix>; |
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505 |
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506 template class schur<FloatMatrix>; |
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507 |
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508 template class schur<Matrix>; |
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509 |
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510 OCTAVE_END_NAMESPACE(math) |
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511 OCTAVE_END_NAMESPACE(octave) |