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
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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 ////////////////////////////////////////////////////////////////////////
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3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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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"
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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 }
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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 }
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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");
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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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120
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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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129
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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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135
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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;
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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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163
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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 ();
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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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184
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185 return info;
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186 }
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187
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188 template <>
29228
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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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195
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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 {
30060
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201 m_schur_mat.clear ();
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202 m_unitary_schur_mat.clear ();
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diff changeset
203 return 0;
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parents: 22323
diff changeset
204 }
457
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parents:
diff changeset
205
22329
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parents: 22323
diff changeset
206 // Workspace requirements may need to be fixed if any of the
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parents: 22323
diff changeset
207 // following change.
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parents: 22323
diff changeset
208
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
209 char jobvs;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
210 char sense = 'N';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
211 char sort = 'N';
1929
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parents: 1882
diff changeset
212
22329
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parents: 22323
diff changeset
213 if (calc_unitary)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
214 jobvs = 'V';
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parents: 22323
diff changeset
215 else
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diff changeset
216 jobvs = 'N';
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parents: 22323
diff changeset
217
23450
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parents: 23220
diff changeset
218 char ord_char = (ord.empty () ? 'U' : ord[0]);
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
219
30073
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Rik <rik@octave.org>
parents: 30060
diff changeset
220 if (ord_char == 'A' || ord_char == 'D'
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
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parents: 30060
diff changeset
221 || ord_char == 'a' || ord_char == 'd')
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diff changeset
222 sort = 'S';
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parents: 22323
diff changeset
223
23795
980f39c3ab90 Use C++11 nullptr rather than 0 in code (bug #51565).
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parents: 23696
diff changeset
224 volatile float_selector selector = nullptr;
22329
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diff changeset
225 if (ord_char == 'A' || ord_char == 'a')
22839
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diff changeset
226 selector = select_ana;
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diff changeset
227 else if (ord_char == 'D' || ord_char == 'd')
22839
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diff changeset
228 selector = select_dig;
1929
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diff changeset
229
22844
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diff changeset
230 F77_INT n = a_nc;
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parents: 22839
diff changeset
231 F77_INT lwork = 8 * n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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diff changeset
232 F77_INT liwork = 1;
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diff changeset
233 F77_INT info;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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diff changeset
234 F77_INT sdim;
22329
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diff changeset
235 float rconde;
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parents: 22323
diff changeset
236 float rcondv;
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diff changeset
237
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parents: 29359
diff changeset
238 m_schur_mat = a;
457
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diff changeset
239
22329
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parents: 22323
diff changeset
240 if (calc_unitary)
30073
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Rik <rik@octave.org>
parents: 30060
diff changeset
241 m_unitary_schur_mat.clear (n, n);
22329
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diff changeset
242
30060
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Rik <rik@octave.org>
parents: 29359
diff changeset
243 float *s = m_schur_mat.fortran_vec ();
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
244 float *q = m_unitary_schur_mat.fortran_vec ();
22329
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diff changeset
245
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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diff changeset
246 Array<float> wr (dim_vector (n, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
247 float *pwr = wr.fortran_vec ();
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parents: 22323
diff changeset
248
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
249 Array<float> wi (dim_vector (n, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
250 float *pwi = wi.fortran_vec ();
457
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diff changeset
251
22329
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diff changeset
252 Array<float> work (dim_vector (lwork, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
253 float *pwork = work.fortran_vec ();
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parents: 22323
diff changeset
254
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
255 // BWORK is not referenced for the non-ordered Schur routine.
22844
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
256 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
257 Array<F77_INT> bwork (dim_vector (ntmp, 1));
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
258 F77_INT *pbwork = bwork.fortran_vec ();
22329
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diff changeset
259
22844
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
260 Array<F77_INT> iwork (dim_vector (liwork, 1));
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
261 F77_INT *piwork = iwork.fortran_vec ();
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parents: 21202
diff changeset
262
22329
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parents: 22323
diff changeset
263 F77_XFCN (sgeesx, SGEESX, (F77_CONST_CHAR_ARG2 (&jobvs, 1),
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
264 F77_CONST_CHAR_ARG2 (&sort, 1),
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
265 selector,
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
266 F77_CONST_CHAR_ARG2 (&sense, 1),
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
267 n, s, n, sdim, pwr, pwi, q, n, rconde, rcondv,
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
268 pwork, lwork, piwork, liwork, pbwork, info
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
269 F77_CHAR_ARG_LEN (1)
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parents: 22323
diff changeset
270 F77_CHAR_ARG_LEN (1)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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diff changeset
271 F77_CHAR_ARG_LEN (1)));
21266
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parents: 21202
diff changeset
272
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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diff changeset
273 return info;
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parents: 21202
diff changeset
274 }
e69eaee28737 make better use of templates for Schur decomposition
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parents: 21202
diff changeset
275
22329
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John W. Eaton <jwe@octave.org>
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diff changeset
276 template <>
29228
5c14f81e0937 Set API tags in files in liboctave/numeric (patch #8919).
Markus Mützel <markus.muetzel@gmx.de>
parents: 27923
diff changeset
277 OCTAVE_API F77_INT
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
278 schur<ComplexMatrix>::init (const ComplexMatrix& a, const std::string& ord,
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
279 bool calc_unitary)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
280 {
23696
08036a7f3660 remove octave:: namespace tag from symbols used inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 23475
diff changeset
281 F77_INT a_nr = to_f77_int (a.rows ());
08036a7f3660 remove octave:: namespace tag from symbols used inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 23475
diff changeset
282 F77_INT a_nc = to_f77_int (a.cols ());
21266
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
283
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
284 if (a_nr != a_nc)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
285 (*current_liboctave_error_handler) ("SCHUR requires square matrix");
21266
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
286
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
287 if (a_nr == 0)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
288 {
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
289 m_schur_mat.clear ();
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
290 m_unitary_schur_mat.clear ();
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
291 return 0;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
292 }
21266
e69eaee28737 make better use of templates for Schur decomposition
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parents: 21202
diff changeset
293
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
294 // Workspace requirements may need to be fixed if any of the
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
295 // following change.
21266
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parents: 21202
diff changeset
296
22329
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diff changeset
297 char jobvs;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
298 char sense = 'N';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
299 char sort = 'N';
21266
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parents: 21202
diff changeset
300
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
301 if (calc_unitary)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
302 jobvs = 'V';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
303 else
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
304 jobvs = 'N';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
305
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23220
diff changeset
306 char ord_char = (ord.empty () ? 'U' : ord[0]);
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
307
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
308 if (ord_char == 'A' || ord_char == 'D'
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
309 || ord_char == 'a' || ord_char == 'd')
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
310 sort = 'S';
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
311
23795
980f39c3ab90 Use C++11 nullptr rather than 0 in code (bug #51565).
Rik <rik@octave.org>
parents: 23696
diff changeset
312 volatile complex_selector selector = nullptr;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
313 if (ord_char == 'A' || ord_char == 'a')
22839
b27125252bb0 use Fortran data types for Fortran function pointer typedefs
John W. Eaton <jwe@octave.org>
parents: 22755
diff changeset
314 selector = select_ana;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
315 else if (ord_char == 'D' || ord_char == 'd')
22839
b27125252bb0 use Fortran data types for Fortran function pointer typedefs
John W. Eaton <jwe@octave.org>
parents: 22755
diff changeset
316 selector = select_dig;
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
317
22844
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
318 F77_INT n = a_nc;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
319 F77_INT lwork = 8 * n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
320 F77_INT info;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
321 F77_INT sdim;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
322 double rconde;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
323 double rcondv;
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
324
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
325 m_schur_mat = a;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
326 if (calc_unitary)
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
327 m_unitary_schur_mat.clear (n, n);
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
328
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
329 Complex *s = m_schur_mat.fortran_vec ();
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
330 Complex *q = m_unitary_schur_mat.fortran_vec ();
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parents: 22323
diff changeset
331
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
332 Array<double> rwork (dim_vector (n, 1));
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diff changeset
333 double *prwork = rwork.fortran_vec ();
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parents: 21202
diff changeset
334
22329
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diff changeset
335 Array<Complex> w (dim_vector (n, 1));
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parents: 22323
diff changeset
336 Complex *pw = w.fortran_vec ();
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
337
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
338 Array<Complex> work (dim_vector (lwork, 1));
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diff changeset
339 Complex *pwork = work.fortran_vec ();
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parents: 21202
diff changeset
340
22329
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diff changeset
341 // BWORK is not referenced for non-ordered Schur.
22844
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parents: 22839
diff changeset
342 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
343 Array<F77_INT> bwork (dim_vector (ntmp, 1));
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
diff changeset
344 F77_INT *pbwork = bwork.fortran_vec ();
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parents: 21202
diff changeset
345
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Rik <rik@octave.org>
parents: 30060
diff changeset
346 F77_XFCN (zgeesx, ZGEESX,
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
347 (F77_CONST_CHAR_ARG2 (&jobvs, 1),
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
348 F77_CONST_CHAR_ARG2 (&sort, 1),
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
349 selector,
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
350 F77_CONST_CHAR_ARG2 (&sense, 1),
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
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parents: 30060
diff changeset
351 n, F77_DBLE_CMPLX_ARG (s), n, sdim, F77_DBLE_CMPLX_ARG (pw),
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
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parents: 30060
diff changeset
352 F77_DBLE_CMPLX_ARG (q), n, rconde, rcondv,
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
353 F77_DBLE_CMPLX_ARG (pwork), lwork, prwork, pbwork, info
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
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parents: 30060
diff changeset
354 F77_CHAR_ARG_LEN (1)
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
355 F77_CHAR_ARG_LEN (1)
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
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parents: 30060
diff changeset
356 F77_CHAR_ARG_LEN (1)));
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diff changeset
357
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diff changeset
358 return info;
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diff changeset
359 }
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diff changeset
360
22329
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parents: 22323
diff changeset
361 template <>
29228
5c14f81e0937 Set API tags in files in liboctave/numeric (patch #8919).
Markus Mützel <markus.muetzel@gmx.de>
parents: 27923
diff changeset
362 OCTAVE_API schur<ComplexMatrix>
22329
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diff changeset
363 rsf2csf<ComplexMatrix, Matrix> (const Matrix& s_arg, const Matrix& u_arg)
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parents: 22323
diff changeset
364 {
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
365 ComplexMatrix s (s_arg);
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
366 ComplexMatrix u (u_arg);
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parents: 22323
diff changeset
367
23696
08036a7f3660 remove octave:: namespace tag from symbols used inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 23475
diff changeset
368 F77_INT n = to_f77_int (s.rows ());
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parents: 21202
diff changeset
369
22329
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diff changeset
370 if (s.columns () != n || u.rows () != n || u.columns () != n)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
371 (*current_liboctave_error_handler)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
372 ("rsf2csf: inconsistent matrix dimensions");
21266
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diff changeset
373
22329
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diff changeset
374 if (n > 0)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
375 {
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
376 OCTAVE_LOCAL_BUFFER (double, c, n-1);
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
377 OCTAVE_LOCAL_BUFFER (double, sx, n-1);
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
378
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
379 F77_XFCN (zrsf2csf, ZRSF2CSF,
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
380 (n, F77_DBLE_CMPLX_ARG (s.fortran_vec ()),
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
381 F77_DBLE_CMPLX_ARG (u.fortran_vec ()), c, sx));
22329
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diff changeset
382 }
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
383
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
384 return schur<ComplexMatrix> (s, u);
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parents: 21202
diff changeset
385 }
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
386
22329
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parents: 22323
diff changeset
387 template <>
29228
5c14f81e0937 Set API tags in files in liboctave/numeric (patch #8919).
Markus Mützel <markus.muetzel@gmx.de>
parents: 27923
diff changeset
388 OCTAVE_API F77_INT
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
389 schur<FloatComplexMatrix>::init (const FloatComplexMatrix& a,
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
390 const std::string& ord, bool calc_unitary)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
391 {
23696
08036a7f3660 remove octave:: namespace tag from symbols used inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 23475
diff changeset
392 F77_INT a_nr = to_f77_int (a.rows ());
08036a7f3660 remove octave:: namespace tag from symbols used inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 23475
diff changeset
393 F77_INT a_nc = to_f77_int (a.cols ());
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
394
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
395 if (a_nr != a_nc)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
396 (*current_liboctave_error_handler) ("SCHUR requires square matrix");
21266
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parents: 21202
diff changeset
397
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
398 if (a_nr == 0)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
399 {
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
400 m_schur_mat.clear ();
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
401 m_unitary_schur_mat.clear ();
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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diff changeset
402 return 0;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
403 }
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
404
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
405 // Workspace requirements may need to be fixed if any of the
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
406 // following change.
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
407
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
408 char jobvs;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
409 char sense = 'N';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
410 char sort = 'N';
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
411
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
412 if (calc_unitary)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
413 jobvs = 'V';
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
414 else
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
415 jobvs = 'N';
21266
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
416
23450
855122b993da maint: Wrap tertiary operator in parentheses "(COND ? x : y)".
Rik <rik@octave.org>
parents: 23220
diff changeset
417 char ord_char = (ord.empty () ? 'U' : ord[0]);
21266
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
418
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
419 if (ord_char == 'A' || ord_char == 'D'
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
420 || ord_char == 'a' || ord_char == 'd')
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
421 sort = 'S';
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
422
23795
980f39c3ab90 Use C++11 nullptr rather than 0 in code (bug #51565).
Rik <rik@octave.org>
parents: 23696
diff changeset
423 volatile float_complex_selector selector = nullptr;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
424 if (ord_char == 'A' || ord_char == 'a')
22839
b27125252bb0 use Fortran data types for Fortran function pointer typedefs
John W. Eaton <jwe@octave.org>
parents: 22755
diff changeset
425 selector = select_ana;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
426 else if (ord_char == 'D' || ord_char == 'd')
22839
b27125252bb0 use Fortran data types for Fortran function pointer typedefs
John W. Eaton <jwe@octave.org>
parents: 22755
diff changeset
427 selector = select_dig;
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
428
22844
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
429 F77_INT n = a_nc;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
430 F77_INT lwork = 8 * n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
431 F77_INT info;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
432 F77_INT sdim;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
433 float rconde;
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
434 float rcondv;
21266
e69eaee28737 make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
435
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
436 m_schur_mat = a;
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
437 if (calc_unitary)
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
438 m_unitary_schur_mat.clear (n, n);
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
439
30060
ae47678c76e8 maint: use "m_" prefix for member variables in class schur.
Rik <rik@octave.org>
parents: 29359
diff changeset
440 FloatComplex *s = m_schur_mat.fortran_vec ();
30073
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
441 FloatComplex *q = m_unitary_schur_mat.fortran_vec ();
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
442
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
443 Array<float> rwork (dim_vector (n, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
444 float *prwork = rwork.fortran_vec ();
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
445
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
446 Array<FloatComplex> w (dim_vector (n, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
447 FloatComplex *pw = w.fortran_vec ();
21266
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
448
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
449 Array<FloatComplex> work (dim_vector (lwork, 1));
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
450 FloatComplex *pwork = work.fortran_vec ();
21266
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parents: 21202
diff changeset
451
22329
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
452 // BWORK is not referenced for non-ordered Schur.
22844
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
John W. Eaton <jwe@octave.org>
parents: 22839
diff changeset
453 F77_INT ntmp = (ord_char == 'N' || ord_char == 'n') ? 0 : n;
7bb977866f55 use F77_INT instead of octave_idx_type for liboctave schur class
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parents: 22839
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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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parents: 30060
diff changeset
460 selector,
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461 F77_CONST_CHAR_ARG2 (&sense, 1),
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parents: 30060
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462 n, F77_CMPLX_ARG (s), n, sdim, F77_CMPLX_ARG (pw),
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parents: 30060
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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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parents: 30060
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466 F77_CHAR_ARG_LEN (1)
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parents: 30060
diff changeset
467 F77_CHAR_ARG_LEN (1)
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468 F77_CHAR_ARG_LEN (1)));
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diff changeset
469
22329
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470 return info;
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471 }
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parents: 21202
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472
22329
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473 template <>
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Markus Mützel <markus.muetzel@gmx.de>
parents: 27923
diff changeset
474 OCTAVE_API schur<FloatComplexMatrix>
22402
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parents: 22329
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475 rsf2csf<FloatComplexMatrix, FloatMatrix> (const FloatMatrix& s_arg,
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476 const FloatMatrix& u_arg)
22329
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parents: 22323
diff changeset
477 {
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
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478 FloatComplexMatrix s (s_arg);
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
479 FloatComplexMatrix u (u_arg);
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parents: 22323
diff changeset
480
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parents: 23475
diff changeset
481 F77_INT n = to_f77_int (s.rows ());
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diff changeset
482
22329
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483 if (s.columns () != n || u.rows () != n || u.columns () != n)
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parents: 22323
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484 (*current_liboctave_error_handler)
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485 ("rsf2csf: inconsistent matrix dimensions");
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diff changeset
486
22329
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487 if (n > 0)
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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parents: 22323
diff changeset
488 {
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
489 OCTAVE_LOCAL_BUFFER (float, c, n-1);
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diff changeset
490 OCTAVE_LOCAL_BUFFER (float, sx, n-1);
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parents: 21202
diff changeset
491
30073
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parents: 30060
diff changeset
492 F77_XFCN (crsf2csf, CRSF2CSF,
1e277c6b6626 maint: rename schur member function from "unitary_matrix" to "unitary_schur_matrix"
Rik <rik@octave.org>
parents: 30060
diff changeset
493 (n, F77_CMPLX_ARG (s.fortran_vec ()),
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parents: 30060
diff changeset
494 F77_CMPLX_ARG (u.fortran_vec ()), c, sx));
22329
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parents: 22323
diff changeset
495 }
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
496
7f3c7a8bd131 maint: Indent namespaces in liboctave/numeric files.
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diff changeset
497 return schur<FloatComplexMatrix> (s, u);
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parents: 21202
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498 }
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parents: 21202
diff changeset
499
22329
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parents: 22323
diff changeset
500 // Instantiations we need.
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parents: 21202
diff changeset
501
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diff changeset
502 template class schur<ComplexMatrix>;
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diff changeset
503
22329
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parents: 22323
diff changeset
504 template class schur<FloatComplexMatrix>;
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parents: 21202
diff changeset
505
22329
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parents: 22323
diff changeset
506 template class schur<FloatMatrix>;
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
507
22329
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John W. Eaton <jwe@octave.org>
parents: 22323
diff changeset
508 template class schur<Matrix>;
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 30564
diff changeset
509
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 30564
diff changeset
510 OCTAVE_END_NAMESPACE(math)
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Rik <rik@octave.org>
parents: 30564
diff changeset
511 OCTAVE_END_NAMESPACE(octave)