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annotate liboctave/numeric/hess.cc @ 21301:40de9f8f23a6

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Use '#include "config.h"' rather than <config.h>. * mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc, ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc, EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc, ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc, ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc, PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc, SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc, ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc, annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc, dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc, find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc, file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc, marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc, octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc, octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc, settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc, thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc, build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c, colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc, jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc, mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc, oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc, mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc, ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc, ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc, ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc, op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy, pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc, pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc, pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc, pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc, pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc, token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc, Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc, Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc, Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc, MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc, MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc, Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc, boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc, dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc, dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc, int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc, uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c, f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc, DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc, lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc, qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc, sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc, mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc, oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc, oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c, glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c, lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc, oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c, oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc, sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc, display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc, octave-config.in.cc: Use '#include "config.h"' rather than <config.h>.
author Rik <rik@octave.org>
date Thu, 18 Feb 2016 13:34:50 -0800
parents f5b8c3aca5f8
children aba2e6293dd8
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1 /*
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2
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4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1994-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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23 #ifdef HAVE_CONFIG_H
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24 # include "config.h"
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25 #endif
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26
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27
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28 #include "CMatrix.h"
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29 #include "dMatrix.h"
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30 #include "f77-fcn.h"
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31 #include "fCMatrix.h"
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32 #include "fMatrix.h"
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33 #include "hess.h"
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34 #include "lo-error.h"
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36 extern "C"
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37 {
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38 F77_RET_T
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39 F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL,
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40 const octave_idx_type&, double*,
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41 const octave_idx_type&, octave_idx_type&,
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42 octave_idx_type&, double*, octave_idx_type&
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43 F77_CHAR_ARG_LEN_DECL);
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45 F77_RET_T
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46 F77_FUNC (dgehrd, DGEHRD) (const octave_idx_type&, const octave_idx_type&,
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47 const octave_idx_type&, double*,
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48 const octave_idx_type&, double*, double*,
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49 const octave_idx_type&, octave_idx_type&);
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51 F77_RET_T
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52 F77_FUNC (dorghr, DORGHR) (const octave_idx_type&, const octave_idx_type&,
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53 const octave_idx_type&, double*,
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54 const octave_idx_type&, double*, double*,
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55 const octave_idx_type&, octave_idx_type&);
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57 F77_RET_T
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58 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL,
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59 F77_CONST_CHAR_ARG_DECL,
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60 const octave_idx_type&, const octave_idx_type&,
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61 const octave_idx_type&, double*,
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62 const octave_idx_type&, double*,
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63 const octave_idx_type&, octave_idx_type&
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64 F77_CHAR_ARG_LEN_DECL
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65 F77_CHAR_ARG_LEN_DECL);
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66
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67 F77_RET_T
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68 F77_FUNC (sgebal, SGEBAL) (F77_CONST_CHAR_ARG_DECL,
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69 const octave_idx_type&, float*,
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70 const octave_idx_type&, octave_idx_type&,
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71 octave_idx_type&, float*, octave_idx_type&
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72 F77_CHAR_ARG_LEN_DECL);
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73
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74 F77_RET_T
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75 F77_FUNC (sgehrd, SGEHRD) (const octave_idx_type&, const octave_idx_type&,
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76 const octave_idx_type&, float*,
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77 const octave_idx_type&, float*, float*,
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78 const octave_idx_type&, octave_idx_type&);
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79
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80 F77_RET_T
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81 F77_FUNC (sorghr, SORGHR) (const octave_idx_type&, const octave_idx_type&,
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82 const octave_idx_type&, float*,
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83 const octave_idx_type&, float*, float*,
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84 const octave_idx_type&, octave_idx_type&);
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85
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86 F77_RET_T
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87 F77_FUNC (sgebak, SGEBAK) (F77_CONST_CHAR_ARG_DECL,
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88 F77_CONST_CHAR_ARG_DECL,
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89 const octave_idx_type&, const octave_idx_type&,
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90 const octave_idx_type&, float*,
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91 const octave_idx_type&, float*,
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92 const octave_idx_type&, octave_idx_type&
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93 F77_CHAR_ARG_LEN_DECL
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94 F77_CHAR_ARG_LEN_DECL);
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95
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96 F77_RET_T
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97 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL,
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98 const octave_idx_type&, Complex*,
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99 const octave_idx_type&, octave_idx_type&,
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100 octave_idx_type&, double*, octave_idx_type&
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101 F77_CHAR_ARG_LEN_DECL);
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102
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103 F77_RET_T
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104 F77_FUNC (zgehrd, ZGEHRD) (const octave_idx_type&, const octave_idx_type&,
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105 const octave_idx_type&, Complex*,
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106 const octave_idx_type&, Complex*, Complex*,
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107 const octave_idx_type&, octave_idx_type&);
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108
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109 F77_RET_T
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110 F77_FUNC (zunghr, ZUNGHR) (const octave_idx_type&, const octave_idx_type&,
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111 const octave_idx_type&, Complex*,
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112 const octave_idx_type&, Complex*, Complex*,
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113 const octave_idx_type&, octave_idx_type&);
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114
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115 F77_RET_T
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116 F77_FUNC (zgebak, ZGEBAK) (F77_CONST_CHAR_ARG_DECL,
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117 F77_CONST_CHAR_ARG_DECL,
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118 const octave_idx_type&, const octave_idx_type&,
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119 const octave_idx_type&, double*,
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120 const octave_idx_type&, Complex*,
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121 const octave_idx_type&, octave_idx_type&
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122 F77_CHAR_ARG_LEN_DECL
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123 F77_CHAR_ARG_LEN_DECL);
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124
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125 F77_RET_T
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126 F77_FUNC (cgebal, CGEBAL) (F77_CONST_CHAR_ARG_DECL,
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127 const octave_idx_type&, FloatComplex*,
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128 const octave_idx_type&, octave_idx_type&,
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129 octave_idx_type&, float*, octave_idx_type&
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130 F77_CHAR_ARG_LEN_DECL);
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131
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132 F77_RET_T
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133 F77_FUNC (cgehrd, CGEHRD) (const octave_idx_type&, const octave_idx_type&,
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134 const octave_idx_type&, FloatComplex*,
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135 const octave_idx_type&, FloatComplex*,
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136 FloatComplex*, const octave_idx_type&,
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137 octave_idx_type&);
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138
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139 F77_RET_T
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140 F77_FUNC (cunghr, CUNGHR) (const octave_idx_type&, const octave_idx_type&,
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141 const octave_idx_type&, FloatComplex*,
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142 const octave_idx_type&, FloatComplex*,
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143 FloatComplex*, const octave_idx_type&,
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144 octave_idx_type&);
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145
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146 F77_RET_T
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147 F77_FUNC (cgebak, CGEBAK) (F77_CONST_CHAR_ARG_DECL,
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148 F77_CONST_CHAR_ARG_DECL,
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149 const octave_idx_type&, const octave_idx_type&,
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150 const octave_idx_type&, float*,
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151 const octave_idx_type&, FloatComplex*,
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152 const octave_idx_type&, octave_idx_type&
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153 F77_CHAR_ARG_LEN_DECL
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154 F77_CHAR_ARG_LEN_DECL);
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155 }
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156
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157 template <>
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158 octave_idx_type
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159 hess<Matrix>::init (const Matrix& a)
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160 {
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161 octave_idx_type a_nr = a.rows ();
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162 octave_idx_type a_nc = a.cols ();
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163
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164 if (a_nr != a_nc)
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165 (*current_liboctave_error_handler) ("hess: requires square matrix");
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166
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167 char job = 'N';
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168 char side = 'R';
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169
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170 octave_idx_type n = a_nc;
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171 octave_idx_type lwork = 32 * n;
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172 octave_idx_type info;
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173 octave_idx_type ilo;
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174 octave_idx_type ihi;
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175
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176 hess_mat = a;
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177 double *h = hess_mat.fortran_vec ();
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178
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179 Array<double> scale (dim_vector (n, 1));
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180 double *pscale = scale.fortran_vec ();
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181
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182 F77_XFCN (dgebal, DGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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183 n, h, n, ilo, ihi, pscale, info
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184 F77_CHAR_ARG_LEN (1)));
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185
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186 Array<double> tau (dim_vector (n-1, 1));
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187 double *ptau = tau.fortran_vec ();
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188
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189 Array<double> work (dim_vector (lwork, 1));
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190 double *pwork = work.fortran_vec ();
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191
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192 F77_XFCN (dgehrd, DGEHRD, (n, ilo, ihi, h, n, ptau, pwork,
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193 lwork, info));
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194
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195 unitary_hess_mat = hess_mat;
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196 double *z = unitary_hess_mat.fortran_vec ();
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197
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198 F77_XFCN (dorghr, DORGHR, (n, ilo, ihi, z, n, ptau, pwork,
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199 lwork, info));
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200
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201 F77_XFCN (dgebak, DGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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202 F77_CONST_CHAR_ARG2 (&side, 1),
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203 n, ilo, ihi, pscale, n, z,
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204 n, info
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205 F77_CHAR_ARG_LEN (1)
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206 F77_CHAR_ARG_LEN (1)));
457
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207
7482
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208 // If someone thinks of a more graceful way of doing
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209 // this (or faster for that matter :-)), please let
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210 // me know!
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211
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212 if (n > 2)
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213 for (octave_idx_type j = 0; j < a_nc; j++)
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214 for (octave_idx_type i = j+2; i < a_nr; i++)
10314
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215 hess_mat.elem (i, j) = 0;
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216
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217 return info;
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218 }
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219
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220 template <>
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221 octave_idx_type
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222 hess<FloatMatrix>::init (const FloatMatrix& a)
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223 {
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224 octave_idx_type a_nr = a.rows ();
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225 octave_idx_type a_nc = a.cols ();
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226
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227 if (a_nr != a_nc)
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228 (*current_liboctave_error_handler) ("hess: requires square matrix");
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229
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230 char job = 'N';
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231 char side = 'R';
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232
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233 octave_idx_type n = a_nc;
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234 octave_idx_type lwork = 32 * n;
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235 octave_idx_type info;
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236 octave_idx_type ilo;
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237 octave_idx_type ihi;
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238
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239 hess_mat = a;
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240 float *h = hess_mat.fortran_vec ();
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241
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242 Array<float> scale (dim_vector (n, 1));
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243 float *pscale = scale.fortran_vec ();
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244
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245 F77_XFCN (sgebal, SGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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246 n, h, n, ilo, ihi, pscale, info
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247 F77_CHAR_ARG_LEN (1)));
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248
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249 Array<float> tau (dim_vector (n-1, 1));
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250 float *ptau = tau.fortran_vec ();
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251
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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 F77_XFCN (sgehrd, SGEHRD, (n, ilo, ihi, h, n, ptau, pwork,
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256 lwork, info));
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257
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258 unitary_hess_mat = hess_mat;
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259 float *z = unitary_hess_mat.fortran_vec ();
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260
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261 F77_XFCN (sorghr, SORGHR, (n, ilo, ihi, z, n, ptau, pwork,
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262 lwork, info));
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263
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264 F77_XFCN (sgebak, SGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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265 F77_CONST_CHAR_ARG2 (&side, 1),
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266 n, ilo, ihi, pscale, n, z,
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267 n, info
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268 F77_CHAR_ARG_LEN (1)
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269 F77_CHAR_ARG_LEN (1)));
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270
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271 // If someone thinks of a more graceful way of doing
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272 // this (or faster for that matter :-)), please let
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273 // me know!
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274
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275 if (n > 2)
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276 for (octave_idx_type j = 0; j < a_nc; j++)
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277 for (octave_idx_type i = j+2; i < a_nr; i++)
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278 hess_mat.elem (i, j) = 0;
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279
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280 return info;
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281 }
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282
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283 template <>
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284 octave_idx_type
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285 hess<ComplexMatrix>::init (const ComplexMatrix& a)
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286 {
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287 octave_idx_type a_nr = a.rows ();
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288 octave_idx_type a_nc = a.cols ();
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289
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290 if (a_nr != a_nc)
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291 (*current_liboctave_error_handler) ("hess: requires square matrix");
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292
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293 char job = 'N';
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294 char side = 'R';
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295
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296 octave_idx_type n = a_nc;
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297 octave_idx_type lwork = 32 * n;
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298 octave_idx_type info;
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299 octave_idx_type ilo;
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300 octave_idx_type ihi;
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301
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302 hess_mat = a;
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303 Complex *h = hess_mat.fortran_vec ();
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304
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305 Array<double> scale (dim_vector (n, 1));
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306 double *pscale = scale.fortran_vec ();
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307
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308 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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309 n, h, n, ilo, ihi, pscale, info
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310 F77_CHAR_ARG_LEN (1)));
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311
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312 Array<Complex> tau (dim_vector (n-1, 1));
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313 Complex *ptau = tau.fortran_vec ();
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314
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315 Array<Complex> work (dim_vector (lwork, 1));
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316 Complex *pwork = work.fortran_vec ();
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317
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318 F77_XFCN (zgehrd, ZGEHRD, (n, ilo, ihi, h, n, ptau, pwork, lwork, info));
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319
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320 unitary_hess_mat = hess_mat;
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321 Complex *z = unitary_hess_mat.fortran_vec ();
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322
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323 F77_XFCN (zunghr, ZUNGHR, (n, ilo, ihi, z, n, ptau, pwork,
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324 lwork, info));
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325
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326 F77_XFCN (zgebak, ZGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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327 F77_CONST_CHAR_ARG2 (&side, 1),
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328 n, ilo, ihi, pscale, n, z, n, info
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329 F77_CHAR_ARG_LEN (1)
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330 F77_CHAR_ARG_LEN (1)));
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331
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332 // If someone thinks of a more graceful way of
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333 // doing this (or faster for that matter :-)),
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334 // please let me know!
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335
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336 if (n > 2)
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337 for (octave_idx_type j = 0; j < a_nc; j++)
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338 for (octave_idx_type i = j+2; i < a_nr; i++)
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339 hess_mat.elem (i, j) = 0;
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340
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341 return info;
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342 }
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343
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344 template <>
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345 octave_idx_type
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346 hess<FloatComplexMatrix>::init (const FloatComplexMatrix& a)
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347 {
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348 octave_idx_type a_nr = a.rows ();
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349 octave_idx_type a_nc = a.cols ();
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350
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351 if (a_nr != a_nc)
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352 {
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353 (*current_liboctave_error_handler) ("hess: requires square matrix");
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354 return -1;
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355 }
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356
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357 char job = 'N';
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358 char side = 'R';
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359
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360 octave_idx_type n = a_nc;
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361 octave_idx_type lwork = 32 * n;
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362 octave_idx_type info;
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363 octave_idx_type ilo;
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364 octave_idx_type ihi;
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365
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366 hess_mat = a;
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367 FloatComplex *h = hess_mat.fortran_vec ();
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368
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369 Array<float> scale (dim_vector (n, 1));
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370 float *pscale = scale.fortran_vec ();
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371
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372 F77_XFCN (cgebal, CGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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373 n, h, n, ilo, ihi, pscale, info
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374 F77_CHAR_ARG_LEN (1)));
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375
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376 Array<FloatComplex> tau (dim_vector (n-1, 1));
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377 FloatComplex *ptau = tau.fortran_vec ();
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378
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379 Array<FloatComplex> work (dim_vector (lwork, 1));
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380 FloatComplex *pwork = work.fortran_vec ();
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381
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382 F77_XFCN (cgehrd, CGEHRD, (n, ilo, ihi, h, n, ptau, pwork, lwork, info));
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383
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384 unitary_hess_mat = hess_mat;
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385 FloatComplex *z = unitary_hess_mat.fortran_vec ();
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386
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387 F77_XFCN (cunghr, CUNGHR, (n, ilo, ihi, z, n, ptau, pwork,
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388 lwork, info));
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389
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390 F77_XFCN (cgebak, CGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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391 F77_CONST_CHAR_ARG2 (&side, 1),
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392 n, ilo, ihi, pscale, n, z, n, info
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393 F77_CHAR_ARG_LEN (1)
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394 F77_CHAR_ARG_LEN (1)));
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395
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396 // If someone thinks of a more graceful way of
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397 // doing this (or faster for that matter :-)),
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398 // please let me know!
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399
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400 if (n > 2)
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401 for (octave_idx_type j = 0; j < a_nc; j++)
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402 for (octave_idx_type i = j+2; i < a_nr; i++)
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403 hess_mat.elem (i, j) = 0;
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404
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405 return info;
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406 }