Mercurial > octave
annotate liboctave/numeric/qr.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc,
ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc,
PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc,
SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc,
ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc,
file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc,
marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc,
settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc,
thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc,
build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc,
__dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc,
bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c,
colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc,
dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc,
fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc,
hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc,
jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc,
ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc,
mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc,
oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc,
oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc,
oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc,
ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc,
psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc,
schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc,
toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc,
op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc,
op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc,
op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc,
op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc,
op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc,
op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc,
op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc,
op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc,
op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc,
DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc,
lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc,
sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc,
mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc,
oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c,
glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc,
display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc,
octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
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date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | d3b265a83adc |
children | aba2e6293dd8 |
rev | line source |
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1 /* |
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2 |
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3 Copyright (C) 1994-2015 John W. Eaton |
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4 Copyright (C) 2008-2009 Jaroslav Hajek |
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5 Copyright (C) 2009 VZLU Prague |
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6 |
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7 This file is part of Octave. |
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8 |
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9 Octave is free software; you can redistribute it and/or modify it |
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10 under the terms of the GNU General Public License as published by the |
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11 Free Software Foundation; either version 3 of the License, or (at your |
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12 option) any later version. |
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13 |
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14 Octave is distributed in the hope that it will be useful, but WITHOUT |
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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17 for more details. |
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18 |
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19 You should have received a copy of the GNU General Public License |
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20 along with Octave; see the file COPYING. If not, see |
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21 <http://www.gnu.org/licenses/>. |
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22 |
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23 */ |
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24 |
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25 #ifdef HAVE_CONFIG_H |
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26 # include "config.h" |
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27 #endif |
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28 |
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29 #include "CColVector.h" |
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30 #include "CMatrix.h" |
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31 #include "CRowVector.h" |
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32 #include "dColVector.h" |
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33 #include "dMatrix.h" |
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34 #include "dRowVector.h" |
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35 #include "f77-fcn.h" |
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36 #include "fCColVector.h" |
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37 #include "fCMatrix.h" |
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38 #include "fCRowVector.h" |
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39 #include "fColVector.h" |
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40 #include "fMatrix.h" |
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41 #include "fRowVector.h" |
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42 #include "idx-vector.h" |
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43 #include "lo-error.h" |
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44 #include "oct-locbuf.h" |
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45 #include "qr.h" |
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46 |
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47 extern "C" |
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48 { |
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49 F77_RET_T |
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50 F77_FUNC (dgeqrf, DGEQRF) (const octave_idx_type&, const octave_idx_type&, |
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51 double*, const octave_idx_type&, double*, |
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52 double*, const octave_idx_type&, |
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53 octave_idx_type&); |
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54 |
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55 F77_RET_T |
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56 F77_FUNC (dorgqr, DORGQR) (const octave_idx_type&, const octave_idx_type&, |
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57 const octave_idx_type&, double*, |
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58 const octave_idx_type&, double*, double*, |
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59 const octave_idx_type&, octave_idx_type&); |
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60 |
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61 #if defined (HAVE_QRUPDATE) |
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62 |
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63 F77_RET_T |
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64 F77_FUNC (dqr1up, DQR1UP) (const octave_idx_type&, const octave_idx_type&, |
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65 const octave_idx_type&, double*, |
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66 const octave_idx_type&, double*, |
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67 const octave_idx_type&, double*, double*, double*); |
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68 |
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69 F77_RET_T |
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70 F77_FUNC (dqrinc, DQRINC) (const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, double*, |
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72 const octave_idx_type&, double*, |
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73 const octave_idx_type&, const octave_idx_type&, |
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74 const double*, double*); |
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75 |
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76 F77_RET_T |
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77 F77_FUNC (dqrdec, DQRDEC) (const octave_idx_type&, const octave_idx_type&, |
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78 const octave_idx_type&, double*, |
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79 const octave_idx_type&, double*, |
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80 const octave_idx_type&, const octave_idx_type&, |
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81 double*); |
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82 |
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83 F77_RET_T |
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84 F77_FUNC (dqrinr, DQRINR) (const octave_idx_type&, const octave_idx_type&, |
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85 double*, const octave_idx_type&, double*, |
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86 const octave_idx_type&, const octave_idx_type&, |
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87 const double*, double*); |
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88 |
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89 F77_RET_T |
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90 F77_FUNC (dqrder, DQRDER) (const octave_idx_type&, const octave_idx_type&, |
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91 double*, const octave_idx_type&, double*, |
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92 const octave_idx_type&, const octave_idx_type&, |
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93 double*); |
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94 |
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95 F77_RET_T |
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96 F77_FUNC (dqrshc, DQRSHC) (const octave_idx_type&, const octave_idx_type&, |
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97 const octave_idx_type&, double*, |
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98 const octave_idx_type&, double*, |
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99 const octave_idx_type&, const octave_idx_type&, |
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100 const octave_idx_type&, double*); |
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101 |
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102 #endif |
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103 |
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104 F77_RET_T |
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105 F77_FUNC (sgeqrf, SGEQRF) (const octave_idx_type&, const octave_idx_type&, |
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106 float*, const octave_idx_type&, float*, float*, |
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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 (sorgqr, SORGQR) (const octave_idx_type&, const octave_idx_type&, |
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111 const octave_idx_type&, float*, |
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112 const octave_idx_type&, float*, float*, |
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113 const octave_idx_type&, octave_idx_type&); |
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114 |
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115 #if defined (HAVE_QRUPDATE) |
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116 |
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117 F77_RET_T |
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118 F77_FUNC (sqr1up, SQR1UP) (const octave_idx_type&, const octave_idx_type&, |
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119 const octave_idx_type&, float*, |
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120 const octave_idx_type&, float*, |
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121 const octave_idx_type&, float*, float*, float*); |
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122 |
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123 F77_RET_T |
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124 F77_FUNC (sqrinc, SQRINC) (const octave_idx_type&, const octave_idx_type&, |
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125 const octave_idx_type&, float*, |
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126 const octave_idx_type&, float*, |
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127 const octave_idx_type&, |
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128 const octave_idx_type&, const float*, float*); |
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129 |
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130 F77_RET_T |
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131 F77_FUNC (sqrdec, SQRDEC) (const octave_idx_type&, const octave_idx_type&, |
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132 const octave_idx_type&, float*, |
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133 const octave_idx_type&, float*, |
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134 const octave_idx_type&, |
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135 const octave_idx_type&, float*); |
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136 |
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137 F77_RET_T |
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138 F77_FUNC (sqrinr, SQRINR) (const octave_idx_type&, const octave_idx_type&, |
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139 float*, const octave_idx_type&, |
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140 float*, const octave_idx_type&, |
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141 const octave_idx_type&, const float*, float*); |
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142 |
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143 F77_RET_T |
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144 F77_FUNC (sqrder, SQRDER) (const octave_idx_type&, const octave_idx_type&, |
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145 float*, const octave_idx_type&, |
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146 float*, const octave_idx_type&, |
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147 const octave_idx_type&, float*); |
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148 |
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149 F77_RET_T |
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150 F77_FUNC (sqrshc, SQRSHC) (const octave_idx_type&, const octave_idx_type&, |
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151 const octave_idx_type&, float*, |
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152 const octave_idx_type&, float*, |
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153 const octave_idx_type&, |
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154 const octave_idx_type&, const octave_idx_type&, |
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155 float*); |
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156 |
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157 #endif |
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158 |
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159 F77_RET_T |
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160 F77_FUNC (zgeqrf, ZGEQRF) (const octave_idx_type&, const octave_idx_type&, |
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161 Complex*, const octave_idx_type&, Complex*, |
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162 Complex*, const octave_idx_type&, |
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163 octave_idx_type&); |
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164 |
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165 F77_RET_T |
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166 F77_FUNC (zungqr, ZUNGQR) (const octave_idx_type&, const octave_idx_type&, |
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167 const octave_idx_type&, Complex*, |
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168 const octave_idx_type&, Complex*, Complex*, |
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169 const octave_idx_type&, octave_idx_type&); |
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170 |
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171 #if defined (HAVE_QRUPDATE) |
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172 |
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173 F77_RET_T |
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174 F77_FUNC (zqr1up, ZQR1UP) (const octave_idx_type&, const octave_idx_type&, |
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175 const octave_idx_type&, Complex*, |
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176 const octave_idx_type&, Complex*, |
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177 const octave_idx_type&, Complex*, |
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178 Complex*, Complex*, double*); |
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179 |
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180 F77_RET_T |
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181 F77_FUNC (zqrinc, ZQRINC) (const octave_idx_type&, const octave_idx_type&, |
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182 const octave_idx_type&, Complex*, |
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183 const octave_idx_type&, Complex*, |
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184 const octave_idx_type&, const octave_idx_type&, |
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185 const Complex*, double*); |
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186 |
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187 F77_RET_T |
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188 F77_FUNC (zqrdec, ZQRDEC) (const octave_idx_type&, const octave_idx_type&, |
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189 const octave_idx_type&, Complex*, |
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190 const octave_idx_type&, Complex*, |
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191 const octave_idx_type&, const octave_idx_type&, |
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192 double*); |
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193 |
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194 F77_RET_T |
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195 F77_FUNC (zqrinr, ZQRINR) (const octave_idx_type&, const octave_idx_type&, |
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196 Complex*, const octave_idx_type&, Complex*, |
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197 const octave_idx_type&, const octave_idx_type&, |
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198 const Complex*, double*); |
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199 |
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200 F77_RET_T |
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201 F77_FUNC (zqrder, ZQRDER) (const octave_idx_type&, const octave_idx_type&, |
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202 Complex*, const octave_idx_type&, Complex*, |
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203 const octave_idx_type&, const octave_idx_type&, |
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204 Complex*, double*); |
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205 |
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206 F77_RET_T |
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207 F77_FUNC (zqrshc, ZQRSHC) (const octave_idx_type&, const octave_idx_type&, |
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208 const octave_idx_type&, Complex*, |
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209 const octave_idx_type&, Complex*, |
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210 const octave_idx_type&, const octave_idx_type&, |
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211 const octave_idx_type&, Complex*, double*); |
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212 |
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213 #endif |
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214 |
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215 F77_RET_T |
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216 F77_FUNC (cgeqrf, CGEQRF) (const octave_idx_type&, const octave_idx_type&, |
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217 FloatComplex*, const octave_idx_type&, |
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218 FloatComplex*, FloatComplex*, |
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219 const octave_idx_type&, octave_idx_type&); |
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220 |
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221 F77_RET_T |
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222 F77_FUNC (cungqr, CUNGQR) (const octave_idx_type&, const octave_idx_type&, |
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223 const octave_idx_type&, FloatComplex*, |
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224 const octave_idx_type&, FloatComplex*, |
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225 FloatComplex*, const octave_idx_type&, |
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226 octave_idx_type&); |
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227 |
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228 #ifdef HAVE_QRUPDATE |
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229 |
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230 F77_RET_T |
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231 F77_FUNC (cqr1up, CQR1UP) (const octave_idx_type&, const octave_idx_type&, |
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232 const octave_idx_type&, FloatComplex*, |
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233 const octave_idx_type&, FloatComplex*, |
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234 const octave_idx_type&, FloatComplex*, |
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235 FloatComplex*, FloatComplex*, float*); |
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236 |
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237 F77_RET_T |
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238 F77_FUNC (cqrinc, CQRINC) (const octave_idx_type&, const octave_idx_type&, |
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239 const octave_idx_type&, FloatComplex*, |
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240 const octave_idx_type&, FloatComplex*, |
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241 const octave_idx_type&,const octave_idx_type&, |
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242 const FloatComplex*, float*); |
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243 |
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244 F77_RET_T |
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245 F77_FUNC (cqrdec, CQRDEC) (const octave_idx_type&, const octave_idx_type&, |
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246 const octave_idx_type&, FloatComplex*, |
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247 const octave_idx_type&, FloatComplex*, |
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248 const octave_idx_type&, const octave_idx_type&, |
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249 float*); |
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250 |
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251 F77_RET_T |
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252 F77_FUNC (cqrinr, CQRINR) (const octave_idx_type&, const octave_idx_type&, |
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253 FloatComplex*, const octave_idx_type&, |
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254 FloatComplex*, const octave_idx_type&, |
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255 const octave_idx_type&, const FloatComplex*, |
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256 float*); |
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257 |
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258 F77_RET_T |
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259 F77_FUNC (cqrder, CQRDER) (const octave_idx_type&, const octave_idx_type&, |
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260 FloatComplex*, const octave_idx_type&, |
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261 FloatComplex*, const octave_idx_type&, |
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262 const octave_idx_type&, FloatComplex*, float*); |
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263 |
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264 F77_RET_T |
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265 F77_FUNC (cqrshc, CQRSHC) (const octave_idx_type&, const octave_idx_type&, |
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266 const octave_idx_type&, FloatComplex*, |
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267 const octave_idx_type&, FloatComplex*, |
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268 const octave_idx_type&, const octave_idx_type&, |
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269 const octave_idx_type&, FloatComplex*, |
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270 float*); |
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271 |
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272 #endif |
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273 } |
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274 |
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275 template <typename T> |
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276 qr<T>::qr (const T& q_arg, const T& r_arg) |
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277 : q (q_arg), r (r_arg) |
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278 { |
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279 octave_idx_type q_nr = q.rows (); |
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280 octave_idx_type q_nc = q.columns (); |
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281 |
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282 octave_idx_type r_nr = r.rows (); |
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283 octave_idx_type r_nc = r.columns (); |
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284 |
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285 if (! (q_nc == r_nr && (q_nr == q_nc || (q_nr > q_nc && r_nr == r_nc)))) |
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286 (*current_liboctave_error_handler) ("QR dimensions mismatch"); |
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287 } |
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288 |
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289 template <typename T> |
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290 typename qr<T>::type |
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291 qr<T>::get_type (void) const |
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292 { |
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293 type retval; |
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294 |
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295 if (! q.is_empty () && q.is_square ()) |
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296 retval = qr<T>::std; |
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297 else if (q.rows () > q.columns () && r.is_square ()) |
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298 retval = qr<T>::economy; |
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299 else |
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300 retval = qr<T>::raw; |
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301 |
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302 return retval; |
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303 } |
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304 |
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305 template <typename T> |
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306 bool |
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307 qr<T>::regular (void) const |
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308 { |
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309 bool retval = true; |
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310 |
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311 octave_idx_type k = std::min (r.rows (), r.columns ()); |
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312 |
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313 for (octave_idx_type i = 0; i < k; i++) |
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314 { |
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315 if (r(i, i) == ELT_T ()) |
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316 { |
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317 retval = false; |
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318 break; |
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319 } |
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320 } |
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321 |
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322 return retval; |
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323 } |
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324 |
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325 #if ! defined (HAVE_QRUPDATE) |
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326 |
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327 // Replacement update methods. |
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328 |
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329 void |
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330 warn_qrupdate_once (void) |
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331 { |
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332 static bool warned = false; |
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333 |
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334 if (! warned) |
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335 { |
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336 (*current_liboctave_warning_with_id_handler) |
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337 ("Octave:missing-dependency", |
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338 "In this version of Octave, QR & Cholesky updating routines " |
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339 "simply update the matrix and recalculate factorizations. " |
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340 "To use fast algorithms, link Octave with the qrupdate library. " |
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341 "See <http://sourceforge.net/projects/qrupdate>."); |
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342 |
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343 warned = true; |
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344 } |
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345 } |
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346 |
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347 template <typename T> |
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348 void |
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349 qr<T>::update (const CV_T& u, const CV_T& v) |
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350 { |
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351 warn_qrupdate_once (); |
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352 |
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353 octave_idx_type m = q.rows (); |
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354 octave_idx_type n = r.columns (); |
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355 |
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356 if (u.numel () != m || v.numel () != n) |
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357 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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358 |
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359 init (q*r + T (u) * T (v).hermitian (), get_type ()); |
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360 } |
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361 |
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362 template <typename T> |
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363 void |
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364 qr<T>::update (const T& u, const T& v) |
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365 { |
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366 warn_qrupdate_once (); |
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367 |
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368 octave_idx_type m = q.rows (); |
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369 octave_idx_type n = r.columns (); |
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370 |
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371 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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372 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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373 |
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374 init (q*r + u * v.hermitian (), get_type ()); |
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375 } |
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376 |
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377 template <typename T, typename CV_T> |
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378 static |
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379 T |
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380 insert_col (const T& a, octave_idx_type i, const CV_T& x) |
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381 { |
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382 T retval (a.rows (), a.columns () + 1); |
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383 retval.assign (idx_vector::colon, idx_vector (0, i), |
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384 a.index (idx_vector::colon, idx_vector (0, i))); |
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385 retval.assign (idx_vector::colon, idx_vector (i), x); |
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386 retval.assign (idx_vector::colon, idx_vector (i+1, retval.columns ()), |
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387 a.index (idx_vector::colon, idx_vector (i, a.columns ()))); |
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388 return retval; |
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389 } |
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390 |
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391 template <typename T, typename RV_T> |
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392 static |
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393 T |
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394 insert_row (const T& a, octave_idx_type i, const RV_T& x) |
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395 { |
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396 T retval (a.rows () + 1, a.columns ()); |
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397 retval.assign (idx_vector (0, i), idx_vector::colon, |
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398 a.index (idx_vector (0, i), idx_vector::colon)); |
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399 retval.assign (idx_vector (i), idx_vector::colon, x); |
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400 retval.assign (idx_vector (i+1, retval.rows ()), idx_vector::colon, |
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401 a.index (idx_vector (i, a.rows ()), idx_vector::colon)); |
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402 return retval; |
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403 } |
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404 |
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405 template <typename T> |
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406 static |
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407 T |
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408 delete_col (const T& a, octave_idx_type i) |
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409 { |
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410 T retval = a; |
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411 retval.delete_elements (1, idx_vector (i)); |
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412 return retval; |
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413 } |
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414 |
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415 template <typename T> |
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416 static |
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417 T |
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418 delete_row (const T& a, octave_idx_type i) |
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419 { |
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420 T retval = a; |
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421 retval.delete_elements (0, idx_vector (i)); |
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422 return retval; |
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423 } |
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424 |
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425 template <typename T> |
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426 static |
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427 T |
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428 shift_cols (const T& a, octave_idx_type i, octave_idx_type j) |
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429 { |
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430 octave_idx_type n = a.columns (); |
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431 Array<octave_idx_type> p (dim_vector (n, 1)); |
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432 for (octave_idx_type k = 0; k < n; k++) p(k) = k; |
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433 if (i < j) |
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434 { |
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435 for (octave_idx_type k = i; k < j; k++) p(k) = k+1; |
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436 p(j) = i; |
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437 } |
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438 else if (j < i) |
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439 { |
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440 p(j) = i; |
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441 for (octave_idx_type k = j+1; k < i+1; k++) p(k) = k-1; |
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442 } |
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443 |
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444 return a.index (idx_vector::colon, idx_vector (p)); |
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445 } |
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446 |
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447 template <typename T> |
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448 void |
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449 qr<T>::insert_col (const CV_T& u, octave_idx_type j) |
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450 { |
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451 warn_qrupdate_once (); |
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452 |
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453 octave_idx_type m = q.rows (); |
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454 octave_idx_type n = r.columns (); |
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455 |
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456 if (u.numel () != m) |
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457 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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458 if (j < 0 || j > n) |
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459 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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460 |
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461 init (::insert_col (q*r, j, u), get_type ()); |
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462 } |
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463 |
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464 template <typename T> |
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465 void |
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466 qr<T>::insert_col (const T& u, const Array<octave_idx_type>& j) |
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467 { |
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468 warn_qrupdate_once (); |
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469 |
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470 octave_idx_type m = q.rows (); |
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471 octave_idx_type n = r.columns (); |
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472 |
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473 Array<octave_idx_type> jsi; |
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474 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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475 octave_idx_type nj = js.numel (); |
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476 bool dups = false; |
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477 for (octave_idx_type i = 0; i < nj - 1; i++) |
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478 dups = dups && js(i) == js(i+1); |
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479 |
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480 if (dups) |
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481 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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482 if (u.numel () != m || u.columns () != nj) |
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483 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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484 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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485 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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486 |
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487 if (nj > 0) |
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488 { |
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489 T a = q*r; |
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490 for (octave_idx_type i = 0; i < js.numel (); i++) |
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491 a = ::insert_col (a, js(i), u.column (i)); |
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492 init (a, get_type ()); |
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493 } |
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494 } |
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495 |
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496 template <typename T> |
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497 void |
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498 qr<T>::delete_col (octave_idx_type j) |
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499 { |
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500 warn_qrupdate_once (); |
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501 |
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502 octave_idx_type n = r.columns (); |
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503 |
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504 if (j < 0 || j > n-1) |
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505 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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506 |
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507 init (::delete_col (q*r, j), get_type ()); |
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508 } |
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509 |
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510 template <typename T> |
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511 void |
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512 qr<T>::delete_col (const Array<octave_idx_type>& j) |
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513 { |
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514 warn_qrupdate_once (); |
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515 |
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516 octave_idx_type n = r.columns (); |
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517 |
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518 Array<octave_idx_type> jsi; |
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519 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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520 octave_idx_type nj = js.numel (); |
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521 bool dups = false; |
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522 for (octave_idx_type i = 0; i < nj - 1; i++) |
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523 dups = dups && js(i) == js(i+1); |
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524 |
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525 if (dups) |
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526 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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527 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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528 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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529 |
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530 if (nj > 0) |
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531 { |
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532 T a = q*r; |
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533 for (octave_idx_type i = 0; i < js.numel (); i++) |
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534 a = ::delete_col (a, js(i)); |
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535 init (a, get_type ()); |
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536 } |
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537 } |
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538 |
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539 template <typename T> |
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540 void |
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541 qr<T>::insert_row (const RV_T& u, octave_idx_type j) |
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542 { |
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543 warn_qrupdate_once (); |
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544 |
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545 octave_idx_type m = r.rows (); |
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546 octave_idx_type n = r.columns (); |
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547 |
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548 if (! q.is_square () || u.numel () != n) |
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549 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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550 if (j < 0 || j > m) |
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551 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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552 |
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553 init (::insert_row (q*r, j, u), get_type ()); |
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554 } |
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555 |
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556 template <typename T> |
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557 void |
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558 qr<T>::delete_row (octave_idx_type j) |
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559 { |
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560 warn_qrupdate_once (); |
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561 |
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562 octave_idx_type m = r.rows (); |
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563 |
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564 if (! q.is_square ()) |
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565 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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566 if (j < 0 || j > m-1) |
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567 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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568 |
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569 init (::delete_row (q*r, j), get_type ()); |
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570 } |
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571 |
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572 template <typename T> |
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573 void |
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574 qr<T>::shift_cols (octave_idx_type i, octave_idx_type j) |
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575 { |
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576 warn_qrupdate_once (); |
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577 |
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578 octave_idx_type n = r.columns (); |
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579 |
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580 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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581 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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582 |
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583 init (::shift_cols (q*r, i, j), get_type ()); |
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584 } |
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585 |
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586 #endif |
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587 |
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588 // Specializations. |
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589 |
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590 template <> |
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591 void |
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592 qr<Matrix>::form (octave_idx_type n, Matrix& afact, double *tau, type qr_type) |
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593 { |
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594 octave_idx_type m = afact.rows (); |
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595 octave_idx_type min_mn = std::min (m, n); |
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596 octave_idx_type info; |
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597 |
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598 if (qr_type == qr<Matrix>::raw) |
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599 { |
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600 for (octave_idx_type j = 0; j < min_mn; j++) |
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601 { |
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602 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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603 for (octave_idx_type i = limit + 1; i < m; i++) |
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604 afact.elem (i, j) *= tau[j]; |
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605 } |
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606 |
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607 r = afact; |
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608 } |
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609 else |
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610 { |
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611 // Attempt to minimize copying. |
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612 if (m >= n) |
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613 { |
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614 // afact will become q. |
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615 q = afact; |
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616 octave_idx_type k = qr_type == qr<Matrix>::economy ? n : m; |
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617 r = Matrix (k, n); |
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618 for (octave_idx_type j = 0; j < n; j++) |
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619 { |
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620 octave_idx_type i = 0; |
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621 for (; i <= j; i++) |
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622 r.xelem (i, j) = afact.xelem (i, j); |
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623 for (; i < k; i++) |
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624 r.xelem (i, j) = 0; |
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625 } |
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626 afact = Matrix (); // optimize memory |
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627 } |
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628 else |
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629 { |
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630 // afact will become r. |
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631 q = Matrix (m, m); |
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632 for (octave_idx_type j = 0; j < m; j++) |
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633 for (octave_idx_type i = j + 1; i < m; i++) |
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634 { |
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635 q.xelem (i, j) = afact.xelem (i, j); |
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636 afact.xelem (i, j) = 0; |
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637 } |
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638 r = afact; |
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639 } |
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640 |
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641 |
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642 if (m > 0) |
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643 { |
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644 octave_idx_type k = q.columns (); |
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645 // workspace query. |
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646 double rlwork; |
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647 F77_XFCN (dorgqr, DORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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648 &rlwork, -1, info)); |
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649 |
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650 // allocate buffer and do the job. |
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651 octave_idx_type lwork = rlwork; |
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652 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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653 OCTAVE_LOCAL_BUFFER (double, work, lwork); |
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654 F77_XFCN (dorgqr, DORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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655 work, lwork, info)); |
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656 } |
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657 } |
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658 } |
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659 |
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660 template <> |
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661 void |
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662 qr<Matrix>::init (const Matrix& a, type qr_type) |
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663 { |
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664 octave_idx_type m = a.rows (); |
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665 octave_idx_type n = a.cols (); |
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666 |
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667 octave_idx_type min_mn = m < n ? m : n; |
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668 OCTAVE_LOCAL_BUFFER (double, tau, min_mn); |
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669 |
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670 octave_idx_type info = 0; |
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671 |
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672 Matrix afact = a; |
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673 if (m > n && qr_type == qr<Matrix>::std) |
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674 afact.resize (m, m); |
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675 |
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676 if (m > 0) |
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677 { |
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678 // workspace query. |
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679 double rlwork; |
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680 F77_XFCN (dgeqrf, DGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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681 &rlwork, -1, info)); |
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682 |
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683 // allocate buffer and do the job. |
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684 octave_idx_type lwork = rlwork; |
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685 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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686 OCTAVE_LOCAL_BUFFER (double, work, lwork); |
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687 F77_XFCN (dgeqrf, DGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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688 work, lwork, info)); |
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689 } |
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690 |
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691 form (n, afact, tau, qr_type); |
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692 } |
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693 |
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694 #if defined (HAVE_QRUPDATE) |
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695 |
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696 template <> |
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697 void |
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698 qr<Matrix>::update (const ColumnVector& u, const ColumnVector& v) |
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699 { |
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700 octave_idx_type m = q.rows (); |
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701 octave_idx_type n = r.columns (); |
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702 octave_idx_type k = q.columns (); |
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703 |
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704 if (u.numel () != m || v.numel () != n) |
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705 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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706 |
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707 ColumnVector utmp = u; |
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708 ColumnVector vtmp = v; |
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709 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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710 F77_XFCN (dqr1up, DQR1UP, (m, n, k, q.fortran_vec (), |
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711 m, r.fortran_vec (), k, |
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712 utmp.fortran_vec (), vtmp.fortran_vec (), w)); |
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713 } |
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714 |
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715 template <> |
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716 void |
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717 qr<Matrix>::update (const Matrix& u, const Matrix& v) |
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718 { |
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719 octave_idx_type m = q.rows (); |
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720 octave_idx_type n = r.columns (); |
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721 octave_idx_type k = q.columns (); |
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722 |
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723 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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724 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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725 |
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726 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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727 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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728 { |
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729 ColumnVector utmp = u.column (i); |
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730 ColumnVector vtmp = v.column (i); |
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731 F77_XFCN (dqr1up, DQR1UP, (m, n, k, q.fortran_vec (), |
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732 m, r.fortran_vec (), k, |
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733 utmp.fortran_vec (), vtmp.fortran_vec (), |
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734 w)); |
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735 } |
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736 } |
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737 |
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738 template <> |
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739 void |
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740 qr<Matrix>::insert_col (const ColumnVector& u, octave_idx_type j) |
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741 { |
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742 octave_idx_type m = q.rows (); |
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743 octave_idx_type n = r.columns (); |
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744 octave_idx_type k = q.columns (); |
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745 |
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746 if (u.numel () != m) |
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747 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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748 if (j < 0 || j > n) |
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749 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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750 |
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751 if (k < m) |
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752 { |
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753 q.resize (m, k+1); |
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754 r.resize (k+1, n+1); |
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755 } |
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756 else |
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757 { |
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758 r.resize (k, n+1); |
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759 } |
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760 |
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761 ColumnVector utmp = u; |
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762 OCTAVE_LOCAL_BUFFER (double, w, k); |
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763 F77_XFCN (dqrinc, DQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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764 r.fortran_vec (), r.rows (), j + 1, |
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765 utmp.data (), w)); |
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766 } |
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767 |
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768 template <> |
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769 void |
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770 qr<Matrix>::insert_col (const Matrix& u, const Array<octave_idx_type>& j) |
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771 { |
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772 octave_idx_type m = q.rows (); |
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773 octave_idx_type n = r.columns (); |
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774 octave_idx_type k = q.columns (); |
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775 |
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776 Array<octave_idx_type> jsi; |
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777 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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778 octave_idx_type nj = js.numel (); |
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779 bool dups = false; |
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780 for (octave_idx_type i = 0; i < nj - 1; i++) |
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781 dups = dups && js(i) == js(i+1); |
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782 |
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783 if (dups) |
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784 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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785 if (u.numel () != m || u.columns () != nj) |
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786 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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787 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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788 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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789 |
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790 if (nj > 0) |
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791 { |
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792 octave_idx_type kmax = std::min (k + nj, m); |
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793 if (k < m) |
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794 { |
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795 q.resize (m, kmax); |
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796 r.resize (kmax, n + nj); |
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797 } |
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798 else |
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799 { |
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800 r.resize (k, n + nj); |
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801 } |
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802 |
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803 OCTAVE_LOCAL_BUFFER (double, w, kmax); |
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804 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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805 { |
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806 octave_idx_type ii = i; |
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807 ColumnVector utmp = u.column (jsi(i)); |
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808 F77_XFCN (dqrinc, DQRINC, (m, n + ii, std::min (kmax, k + ii), |
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809 q.fortran_vec (), q.rows (), |
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810 r.fortran_vec (), r.rows (), js(ii) + 1, |
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811 utmp.data (), w)); |
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812 } |
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813 } |
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814 } |
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815 |
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816 template <> |
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817 void |
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818 qr<Matrix>::delete_col (octave_idx_type j) |
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819 { |
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820 octave_idx_type m = q.rows (); |
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821 octave_idx_type k = r.rows (); |
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822 octave_idx_type n = r.columns (); |
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823 |
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824 if (j < 0 || j > n-1) |
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825 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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826 |
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827 OCTAVE_LOCAL_BUFFER (double, w, k); |
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828 F77_XFCN (dqrdec, DQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
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829 r.fortran_vec (), r.rows (), j + 1, w)); |
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830 |
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831 if (k < m) |
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832 { |
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833 q.resize (m, k-1); |
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834 r.resize (k-1, n-1); |
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835 } |
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836 else |
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837 { |
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838 r.resize (k, n-1); |
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839 } |
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840 } |
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841 |
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842 template <> |
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843 void |
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844 qr<Matrix>::delete_col (const Array<octave_idx_type>& j) |
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845 { |
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846 octave_idx_type m = q.rows (); |
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847 octave_idx_type n = r.columns (); |
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848 octave_idx_type k = q.columns (); |
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849 |
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850 Array<octave_idx_type> jsi; |
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851 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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852 octave_idx_type nj = js.numel (); |
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853 bool dups = false; |
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854 for (octave_idx_type i = 0; i < nj - 1; i++) |
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855 dups = dups && js(i) == js(i+1); |
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856 |
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857 if (dups) |
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858 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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859 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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860 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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861 |
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862 if (nj > 0) |
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|
863 { |
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|
864 OCTAVE_LOCAL_BUFFER (double, w, k); |
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865 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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|
866 { |
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867 octave_idx_type ii = i; |
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868 F77_XFCN (dqrdec, DQRDEC, (m, n - ii, k == m ? k : k - ii, |
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869 q.fortran_vec (), q.rows (), |
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870 r.fortran_vec (), r.rows (), |
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871 js(ii) + 1, w)); |
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|
872 } |
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|
873 if (k < m) |
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|
874 { |
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|
875 q.resize (m, k - nj); |
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|
876 r.resize (k - nj, n - nj); |
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|
877 } |
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|
878 else |
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|
879 { |
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|
880 r.resize (k, n - nj); |
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|
881 } |
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|
882 |
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|
883 } |
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|
884 } |
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|
885 |
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|
886 template <> |
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|
887 void |
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888 qr<Matrix>::insert_row (const RowVector& u, octave_idx_type j) |
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889 { |
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890 octave_idx_type m = r.rows (); |
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891 octave_idx_type n = r.columns (); |
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892 octave_idx_type k = std::min (m, n); |
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893 |
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894 if (! q.is_square () || u.numel () != n) |
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|
895 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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896 if (j < 0 || j > m) |
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897 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
898 |
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|
899 q.resize (m + 1, m + 1); |
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900 r.resize (m + 1, n); |
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901 RowVector utmp = u; |
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902 OCTAVE_LOCAL_BUFFER (double, w, k); |
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903 F77_XFCN (dqrinr, DQRINR, (m, n, q.fortran_vec (), q.rows (), |
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904 r.fortran_vec (), r.rows (), |
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|
905 j + 1, utmp.fortran_vec (), w)); |
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|
906 |
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|
907 } |
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|
908 |
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|
909 template <> |
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|
910 void |
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|
911 qr<Matrix>::delete_row (octave_idx_type j) |
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|
912 { |
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|
913 octave_idx_type m = r.rows (); |
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914 octave_idx_type n = r.columns (); |
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|
915 |
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|
916 if (! q.is_square ()) |
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|
917 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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918 if (j < 0 || j > m-1) |
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|
919 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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920 |
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921 OCTAVE_LOCAL_BUFFER (double, w, 2*m); |
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922 F77_XFCN (dqrder, DQRDER, (m, n, q.fortran_vec (), q.rows (), |
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923 r.fortran_vec (), r.rows (), j + 1, |
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924 w)); |
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925 |
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926 q.resize (m - 1, m - 1); |
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927 r.resize (m - 1, n); |
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928 } |
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929 |
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930 template <> |
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931 void |
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932 qr<Matrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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933 { |
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934 octave_idx_type m = q.rows (); |
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935 octave_idx_type k = r.rows (); |
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936 octave_idx_type n = r.columns (); |
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937 |
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938 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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939 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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940 |
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941 OCTAVE_LOCAL_BUFFER (double, w, 2*k); |
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942 F77_XFCN (dqrshc, DQRSHC, (m, n, k, |
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943 q.fortran_vec (), q.rows (), |
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944 r.fortran_vec (), r.rows (), |
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945 i + 1, j + 1, w)); |
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946 } |
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947 |
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948 #endif |
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949 |
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950 template <> |
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951 void |
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952 qr<FloatMatrix>::form (octave_idx_type n, FloatMatrix& afact, float *tau, type qr_type) |
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953 { |
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954 octave_idx_type m = afact.rows (); |
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955 octave_idx_type min_mn = std::min (m, n); |
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956 octave_idx_type info; |
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957 |
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958 if (qr_type == qr<FloatMatrix>::raw) |
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959 { |
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960 for (octave_idx_type j = 0; j < min_mn; j++) |
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961 { |
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962 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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963 for (octave_idx_type i = limit + 1; i < m; i++) |
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964 afact.elem (i, j) *= tau[j]; |
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965 } |
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966 |
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967 r = afact; |
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968 } |
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969 else |
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970 { |
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971 // Attempt to minimize copying. |
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972 if (m >= n) |
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973 { |
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974 // afact will become q. |
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975 q = afact; |
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976 octave_idx_type k = qr_type == qr<FloatMatrix>::economy ? n : m; |
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977 r = FloatMatrix (k, n); |
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978 for (octave_idx_type j = 0; j < n; j++) |
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979 { |
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980 octave_idx_type i = 0; |
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981 for (; i <= j; i++) |
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982 r.xelem (i, j) = afact.xelem (i, j); |
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983 for (; i < k; i++) |
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984 r.xelem (i, j) = 0; |
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985 } |
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986 afact = FloatMatrix (); // optimize memory |
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987 } |
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988 else |
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989 { |
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990 // afact will become r. |
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991 q = FloatMatrix (m, m); |
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992 for (octave_idx_type j = 0; j < m; j++) |
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993 for (octave_idx_type i = j + 1; i < m; i++) |
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994 { |
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995 q.xelem (i, j) = afact.xelem (i, j); |
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996 afact.xelem (i, j) = 0; |
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997 } |
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998 r = afact; |
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999 } |
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1000 |
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1001 |
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1002 if (m > 0) |
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1003 { |
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1004 octave_idx_type k = q.columns (); |
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1005 // workspace query. |
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1006 float rlwork; |
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1007 F77_XFCN (sorgqr, SORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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1008 &rlwork, -1, info)); |
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1009 |
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1010 // allocate buffer and do the job. |
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1011 octave_idx_type lwork = rlwork; |
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1012 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1013 OCTAVE_LOCAL_BUFFER (float, work, lwork); |
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1014 F77_XFCN (sorgqr, SORGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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1015 work, lwork, info)); |
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1016 } |
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1017 } |
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1018 } |
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1019 |
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1020 template <> |
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1021 void |
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1022 qr<FloatMatrix>::init (const FloatMatrix& a, type qr_type) |
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1023 { |
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1024 octave_idx_type m = a.rows (); |
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1025 octave_idx_type n = a.cols (); |
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1026 |
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1027 octave_idx_type min_mn = m < n ? m : n; |
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1028 OCTAVE_LOCAL_BUFFER (float, tau, min_mn); |
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1029 |
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1030 octave_idx_type info = 0; |
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1031 |
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1032 FloatMatrix afact = a; |
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1033 if (m > n && qr_type == qr<FloatMatrix>::std) |
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1034 afact.resize (m, m); |
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1035 |
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1036 if (m > 0) |
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1037 { |
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1038 // workspace query. |
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1039 float rlwork; |
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1040 F77_XFCN (sgeqrf, SGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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1041 &rlwork, -1, info)); |
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1042 |
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1043 // allocate buffer and do the job. |
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1044 octave_idx_type lwork = rlwork; |
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1045 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1046 OCTAVE_LOCAL_BUFFER (float, work, lwork); |
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1047 F77_XFCN (sgeqrf, SGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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1048 work, lwork, info)); |
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1049 } |
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1050 |
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1051 form (n, afact, tau, qr_type); |
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1052 } |
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1053 |
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1054 #ifdef HAVE_QRUPDATE |
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1055 |
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1056 template <> |
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1057 void |
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1058 qr<FloatMatrix>::update (const FloatColumnVector& u, const FloatColumnVector& v) |
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1059 { |
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1060 octave_idx_type m = q.rows (); |
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1061 octave_idx_type n = r.columns (); |
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1062 octave_idx_type k = q.columns (); |
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1063 |
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1064 if (u.numel () != m || v.numel () != n) |
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1065 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1066 |
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1067 FloatColumnVector utmp = u; |
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1068 FloatColumnVector vtmp = v; |
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1069 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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1070 F77_XFCN (sqr1up, SQR1UP, (m, n, k, q.fortran_vec (), |
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1071 m, r.fortran_vec (), k, |
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1072 utmp.fortran_vec (), vtmp.fortran_vec (), w)); |
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1073 } |
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1074 |
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1075 template <> |
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1076 void |
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1077 qr<FloatMatrix>::update (const FloatMatrix& u, const FloatMatrix& v) |
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1078 { |
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1079 octave_idx_type m = q.rows (); |
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1080 octave_idx_type n = r.columns (); |
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1081 octave_idx_type k = q.columns (); |
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1082 |
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1083 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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1084 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1085 |
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1086 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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1087 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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1088 { |
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1089 FloatColumnVector utmp = u.column (i); |
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1090 FloatColumnVector vtmp = v.column (i); |
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1091 F77_XFCN (sqr1up, SQR1UP, (m, n, k, q.fortran_vec (), |
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1092 m, r.fortran_vec (), k, |
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1093 utmp.fortran_vec (), vtmp.fortran_vec (), |
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1094 w)); |
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1095 } |
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1096 } |
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1097 |
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1098 template <> |
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1099 void |
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1100 qr<FloatMatrix>::insert_col (const FloatColumnVector& u, octave_idx_type j) |
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1101 { |
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1102 octave_idx_type m = q.rows (); |
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1103 octave_idx_type n = r.columns (); |
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1104 octave_idx_type k = q.columns (); |
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1105 |
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1106 if (u.numel () != m) |
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1107 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1108 if (j < 0 || j > n) |
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1109 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1110 |
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1111 if (k < m) |
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1112 { |
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1113 q.resize (m, k+1); |
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1114 r.resize (k+1, n+1); |
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1115 } |
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1116 else |
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1117 { |
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1118 r.resize (k, n+1); |
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1119 } |
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1120 |
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1121 FloatColumnVector utmp = u; |
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1122 OCTAVE_LOCAL_BUFFER (float, w, k); |
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1123 F77_XFCN (sqrinc, SQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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1124 r.fortran_vec (), r.rows (), j + 1, |
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1125 utmp.data (), w)); |
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1126 } |
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1127 |
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1128 template <> |
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1129 void |
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1130 qr<FloatMatrix>::insert_col (const FloatMatrix& u, const Array<octave_idx_type>& j) |
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1131 { |
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1132 octave_idx_type m = q.rows (); |
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1133 octave_idx_type n = r.columns (); |
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1134 octave_idx_type k = q.columns (); |
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1135 |
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1136 Array<octave_idx_type> jsi; |
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1137 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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1138 octave_idx_type nj = js.numel (); |
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1139 bool dups = false; |
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1140 for (octave_idx_type i = 0; i < nj - 1; i++) |
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1141 dups = dups && js(i) == js(i+1); |
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1142 |
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1143 if (dups) |
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1144 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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1145 if (u.numel () != m || u.columns () != nj) |
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1146 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1147 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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1148 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1149 |
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1150 if (nj > 0) |
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1151 { |
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1152 octave_idx_type kmax = std::min (k + nj, m); |
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1153 if (k < m) |
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1154 { |
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1155 q.resize (m, kmax); |
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1156 r.resize (kmax, n + nj); |
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1157 } |
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1158 else |
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1159 { |
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1160 r.resize (k, n + nj); |
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1161 } |
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1162 |
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1163 OCTAVE_LOCAL_BUFFER (float, w, kmax); |
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1164 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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1165 { |
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1166 octave_idx_type ii = i; |
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1167 FloatColumnVector utmp = u.column (jsi(i)); |
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1168 F77_XFCN (sqrinc, SQRINC, (m, n + ii, std::min (kmax, k + ii), |
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|
1169 q.fortran_vec (), q.rows (), |
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1170 r.fortran_vec (), r.rows (), js(ii) + 1, |
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1171 utmp.data (), w)); |
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|
1172 } |
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|
1173 } |
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|
1174 } |
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|
1175 |
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|
1176 template <> |
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|
1177 void |
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1178 qr<FloatMatrix>::delete_col (octave_idx_type j) |
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1179 { |
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1180 octave_idx_type m = q.rows (); |
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1181 octave_idx_type k = r.rows (); |
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1182 octave_idx_type n = r.columns (); |
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1183 |
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1184 if (j < 0 || j > n-1) |
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|
1185 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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1186 |
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1187 OCTAVE_LOCAL_BUFFER (float, w, k); |
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1188 F77_XFCN (sqrdec, SQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
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1189 r.fortran_vec (), r.rows (), j + 1, w)); |
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1190 |
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1191 if (k < m) |
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|
1192 { |
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1193 q.resize (m, k-1); |
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1194 r.resize (k-1, n-1); |
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1195 } |
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|
1196 else |
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|
1197 { |
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|
1198 r.resize (k, n-1); |
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1199 } |
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|
1200 } |
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|
1201 |
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|
1202 template <> |
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|
1203 void |
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|
1204 qr<FloatMatrix>::delete_col (const Array<octave_idx_type>& j) |
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|
1205 { |
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|
1206 octave_idx_type m = q.rows (); |
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1207 octave_idx_type n = r.columns (); |
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1208 octave_idx_type k = q.columns (); |
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|
1209 |
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|
1210 Array<octave_idx_type> jsi; |
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1211 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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1212 octave_idx_type nj = js.numel (); |
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1213 bool dups = false; |
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|
1214 for (octave_idx_type i = 0; i < nj - 1; i++) |
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|
1215 dups = dups && js(i) == js(i+1); |
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|
1216 |
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|
1217 if (dups) |
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|
1218 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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1219 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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|
1220 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1221 |
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diff
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|
1222 if (nj > 0) |
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John W. Eaton <jwe@octave.org>
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|
1223 { |
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|
1224 OCTAVE_LOCAL_BUFFER (float, w, k); |
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John W. Eaton <jwe@octave.org>
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|
1225 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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John W. Eaton <jwe@octave.org>
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|
1226 { |
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|
1227 octave_idx_type ii = i; |
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John W. Eaton <jwe@octave.org>
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|
1228 F77_XFCN (sqrdec, SQRDEC, (m, n - ii, k == m ? k : k - ii, |
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John W. Eaton <jwe@octave.org>
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diff
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|
1229 q.fortran_vec (), q.rows (), |
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John W. Eaton <jwe@octave.org>
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|
1230 r.fortran_vec (), r.rows (), |
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John W. Eaton <jwe@octave.org>
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|
1231 js(ii) + 1, w)); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1232 } |
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John W. Eaton <jwe@octave.org>
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diff
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|
1233 if (k < m) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1234 { |
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diff
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|
1235 q.resize (m, k - nj); |
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John W. Eaton <jwe@octave.org>
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|
1236 r.resize (k - nj, n - nj); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1237 } |
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diff
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|
1238 else |
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John W. Eaton <jwe@octave.org>
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diff
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|
1239 { |
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John W. Eaton <jwe@octave.org>
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diff
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|
1240 r.resize (k, n - nj); |
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diff
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|
1241 } |
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diff
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|
1242 |
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diff
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|
1243 } |
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diff
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|
1244 } |
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21202
diff
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|
1245 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1246 template <> |
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John W. Eaton <jwe@octave.org>
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diff
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|
1247 void |
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John W. Eaton <jwe@octave.org>
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|
1248 qr<FloatMatrix>::insert_row (const FloatRowVector& u, octave_idx_type j) |
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John W. Eaton <jwe@octave.org>
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|
1249 { |
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diff
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|
1250 octave_idx_type m = r.rows (); |
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|
1251 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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|
1252 octave_idx_type k = std::min (m, n); |
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|
1253 |
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|
1254 if (! q.is_square () || u.numel () != n) |
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|
1255 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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|
1256 if (j < 0 || j > m) |
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|
1257 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1258 |
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|
1259 q.resize (m + 1, m + 1); |
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|
1260 r.resize (m + 1, n); |
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|
1261 FloatRowVector utmp = u; |
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|
1262 OCTAVE_LOCAL_BUFFER (float, w, k); |
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|
1263 F77_XFCN (sqrinr, SQRINR, (m, n, q.fortran_vec (), q.rows (), |
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|
1264 r.fortran_vec (), r.rows (), |
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|
1265 j + 1, utmp.fortran_vec (), w)); |
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|
1266 |
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|
1267 } |
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changeset
|
1268 |
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changeset
|
1269 template <> |
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changeset
|
1270 void |
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|
1271 qr<FloatMatrix>::delete_row (octave_idx_type j) |
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|
1272 { |
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|
1273 octave_idx_type m = r.rows (); |
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|
1274 octave_idx_type n = r.columns (); |
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|
1275 |
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|
1276 if (! q.is_square ()) |
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|
1277 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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|
1278 if (j < 0 || j > m-1) |
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|
1279 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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|
1280 |
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changeset
|
1281 OCTAVE_LOCAL_BUFFER (float, w, 2*m); |
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|
1282 F77_XFCN (sqrder, SQRDER, (m, n, q.fortran_vec (), q.rows (), |
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|
1283 r.fortran_vec (), r.rows (), j + 1, |
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changeset
|
1284 w)); |
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changeset
|
1285 |
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|
1286 q.resize (m - 1, m - 1); |
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1287 r.resize (m - 1, n); |
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1288 } |
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1289 |
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1290 template <> |
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1291 void |
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1292 qr<FloatMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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1293 { |
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1294 octave_idx_type m = q.rows (); |
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1295 octave_idx_type k = r.rows (); |
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1296 octave_idx_type n = r.columns (); |
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1297 |
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1298 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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1299 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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1300 |
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1301 OCTAVE_LOCAL_BUFFER (float, w, 2*k); |
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1302 F77_XFCN (sqrshc, SQRSHC, (m, n, k, |
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1303 q.fortran_vec (), q.rows (), |
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1304 r.fortran_vec (), r.rows (), |
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1305 i + 1, j + 1, w)); |
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1306 } |
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1307 |
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1308 #endif |
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1309 |
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1310 template <> |
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1311 void |
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1312 qr<ComplexMatrix>::form (octave_idx_type n, ComplexMatrix& afact, |
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1313 Complex *tau, type qr_type) |
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1314 { |
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1315 octave_idx_type m = afact.rows (); |
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1316 octave_idx_type min_mn = std::min (m, n); |
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1317 octave_idx_type info; |
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1318 |
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1319 if (qr_type == qr<ComplexMatrix>::raw) |
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1320 { |
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1321 for (octave_idx_type j = 0; j < min_mn; j++) |
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1322 { |
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1323 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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1324 for (octave_idx_type i = limit + 1; i < m; i++) |
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1325 afact.elem (i, j) *= tau[j]; |
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1326 } |
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1327 |
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1328 r = afact; |
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1329 } |
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1330 else |
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1331 { |
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1332 // Attempt to minimize copying. |
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1333 if (m >= n) |
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1334 { |
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1335 // afact will become q. |
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1336 q = afact; |
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1337 octave_idx_type k = qr_type == qr<ComplexMatrix>::economy ? n : m; |
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1338 r = ComplexMatrix (k, n); |
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1339 for (octave_idx_type j = 0; j < n; j++) |
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1340 { |
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1341 octave_idx_type i = 0; |
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1342 for (; i <= j; i++) |
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1343 r.xelem (i, j) = afact.xelem (i, j); |
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1344 for (; i < k; i++) |
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1345 r.xelem (i, j) = 0; |
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1346 } |
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1347 afact = ComplexMatrix (); // optimize memory |
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1348 } |
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1349 else |
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1350 { |
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1351 // afact will become r. |
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1352 q = ComplexMatrix (m, m); |
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1353 for (octave_idx_type j = 0; j < m; j++) |
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1354 for (octave_idx_type i = j + 1; i < m; i++) |
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1355 { |
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1356 q.xelem (i, j) = afact.xelem (i, j); |
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1357 afact.xelem (i, j) = 0; |
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1358 } |
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1359 r = afact; |
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1360 } |
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1361 |
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1362 |
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1363 if (m > 0) |
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1364 { |
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1365 octave_idx_type k = q.columns (); |
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1366 // workspace query. |
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1367 Complex clwork; |
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1368 F77_XFCN (zungqr, ZUNGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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1369 &clwork, -1, info)); |
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1370 |
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1371 // allocate buffer and do the job. |
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1372 octave_idx_type lwork = clwork.real (); |
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1373 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1374 OCTAVE_LOCAL_BUFFER (Complex, work, lwork); |
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1375 F77_XFCN (zungqr, ZUNGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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1376 work, lwork, info)); |
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1377 } |
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1378 } |
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1379 } |
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1380 |
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1381 template <> |
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1382 void |
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1383 qr<ComplexMatrix>::init (const ComplexMatrix& a, type qr_type) |
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1384 { |
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1385 octave_idx_type m = a.rows (); |
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1386 octave_idx_type n = a.cols (); |
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1387 |
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1388 octave_idx_type min_mn = m < n ? m : n; |
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1389 OCTAVE_LOCAL_BUFFER (Complex, tau, min_mn); |
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1390 |
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1391 octave_idx_type info = 0; |
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1392 |
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1393 ComplexMatrix afact = a; |
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1394 if (m > n && qr_type == qr<ComplexMatrix>::std) |
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1395 afact.resize (m, m); |
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1396 |
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1397 if (m > 0) |
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1398 { |
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1399 // workspace query. |
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|
1400 Complex clwork; |
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1401 F77_XFCN (zgeqrf, ZGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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1402 &clwork, -1, info)); |
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1403 |
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1404 // allocate buffer and do the job. |
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1405 octave_idx_type lwork = clwork.real (); |
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1406 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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1407 OCTAVE_LOCAL_BUFFER (Complex, work, lwork); |
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1408 F77_XFCN (zgeqrf, ZGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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1409 work, lwork, info)); |
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1410 } |
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1411 |
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1412 form (n, afact, tau, qr_type); |
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1413 } |
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1414 |
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1415 #if defined (HAVE_QRUPDATE) |
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1416 |
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1417 template <> |
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1418 void |
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1419 qr<ComplexMatrix>::update (const ComplexColumnVector& u, const ComplexColumnVector& v) |
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1420 { |
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1421 octave_idx_type m = q.rows (); |
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1422 octave_idx_type n = r.columns (); |
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1423 octave_idx_type k = q.columns (); |
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1424 |
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1425 if (u.numel () != m || v.numel () != n) |
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1426 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1427 |
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1428 ComplexColumnVector utmp = u; |
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1429 ComplexColumnVector vtmp = v; |
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1430 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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1431 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1432 F77_XFCN (zqr1up, ZQR1UP, (m, n, k, q.fortran_vec (), |
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1433 m, r.fortran_vec (), k, |
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1434 utmp.fortran_vec (), vtmp.fortran_vec (), |
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1435 w, rw)); |
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|
1436 } |
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1437 |
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|
1438 template <> |
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1439 void |
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1440 qr<ComplexMatrix>::update (const ComplexMatrix& u, const ComplexMatrix& v) |
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1441 { |
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1442 octave_idx_type m = q.rows (); |
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1443 octave_idx_type n = r.columns (); |
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1444 octave_idx_type k = q.columns (); |
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1445 |
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1446 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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1447 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1448 |
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1449 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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1450 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1451 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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1452 { |
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|
1453 ComplexColumnVector utmp = u.column (i); |
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1454 ComplexColumnVector vtmp = v.column (i); |
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|
1455 F77_XFCN (zqr1up, ZQR1UP, (m, n, k, q.fortran_vec (), |
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|
1456 m, r.fortran_vec (), k, |
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1457 utmp.fortran_vec (), vtmp.fortran_vec (), |
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|
1458 w, rw)); |
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|
1459 } |
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|
1460 } |
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|
1461 |
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|
1462 template <> |
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|
1463 void |
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1464 qr<ComplexMatrix>::insert_col (const ComplexColumnVector& u, octave_idx_type j) |
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1465 { |
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1466 octave_idx_type m = q.rows (); |
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1467 octave_idx_type n = r.columns (); |
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|
1468 octave_idx_type k = q.columns (); |
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|
1469 |
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|
1470 if (u.numel () != m) |
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|
1471 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1472 if (j < 0 || j > n) |
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|
1473 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1474 |
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|
1475 if (k < m) |
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|
1476 { |
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|
1477 q.resize (m, k+1); |
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|
1478 r.resize (k+1, n+1); |
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|
1479 } |
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|
1480 else |
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|
1481 { |
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|
1482 r.resize (k, n+1); |
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|
1483 } |
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|
1484 |
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|
1485 ComplexColumnVector utmp = u; |
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|
1486 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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|
1487 F77_XFCN (zqrinc, ZQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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|
1488 r.fortran_vec (), r.rows (), j + 1, |
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|
1489 utmp.data (), rw)); |
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|
1490 } |
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|
1491 |
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|
1492 template <> |
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|
1493 void |
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|
1494 qr<ComplexMatrix>::insert_col (const ComplexMatrix& u, const Array<octave_idx_type>& j) |
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|
1495 { |
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|
1496 octave_idx_type m = q.rows (); |
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|
1497 octave_idx_type n = r.columns (); |
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|
1498 octave_idx_type k = q.columns (); |
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|
1499 |
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|
1500 Array<octave_idx_type> jsi; |
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1501 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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1502 octave_idx_type nj = js.numel (); |
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|
1503 bool dups = false; |
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|
1504 for (octave_idx_type i = 0; i < nj - 1; i++) |
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|
1505 dups = dups && js(i) == js(i+1); |
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|
1506 |
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|
1507 if (dups) |
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|
1508 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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|
1509 if (u.numel () != m || u.columns () != nj) |
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|
1510 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1511 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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|
1512 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1513 |
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|
1514 if (nj > 0) |
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|
1515 { |
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|
1516 octave_idx_type kmax = std::min (k + nj, m); |
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|
1517 if (k < m) |
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|
1518 { |
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|
1519 q.resize (m, kmax); |
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|
1520 r.resize (kmax, n + nj); |
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|
1521 } |
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|
1522 else |
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|
1523 { |
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|
1524 r.resize (k, n + nj); |
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1525 } |
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|
1526 |
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|
1527 OCTAVE_LOCAL_BUFFER (double, rw, kmax); |
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|
1528 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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|
1529 { |
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|
1530 octave_idx_type ii = i; |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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|
1531 ComplexColumnVector utmp = u.column (jsi(i)); |
eb1524b07fe3
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21202
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|
1532 F77_XFCN (zqrinc, ZQRINC, (m, n + ii, std::min (kmax, k + ii), |
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John W. Eaton <jwe@octave.org>
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|
1533 q.fortran_vec (), q.rows (), |
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John W. Eaton <jwe@octave.org>
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diff
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|
1534 r.fortran_vec (), r.rows (), js(ii) + 1, |
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John W. Eaton <jwe@octave.org>
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diff
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|
1535 utmp.data (), rw)); |
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|
1536 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1537 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1538 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1539 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1540 template <> |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1541 void |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1542 qr<ComplexMatrix>::delete_col (octave_idx_type j) |
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John W. Eaton <jwe@octave.org>
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|
1543 { |
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|
1544 octave_idx_type m = q.rows (); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1545 octave_idx_type k = r.rows (); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1546 octave_idx_type n = r.columns (); |
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21202
diff
changeset
|
1547 |
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diff
changeset
|
1548 if (j < 0 || j > n-1) |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1549 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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John W. Eaton <jwe@octave.org>
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|
1550 |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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|
1551 OCTAVE_LOCAL_BUFFER (double, rw, k); |
eb1524b07fe3
better use of templates for qr classes
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diff
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|
1552 F77_XFCN (zqrdec, ZQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
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John W. Eaton <jwe@octave.org>
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|
1553 r.fortran_vec (), r.rows (), j + 1, rw)); |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1554 |
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John W. Eaton <jwe@octave.org>
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|
1555 if (k < m) |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1556 { |
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John W. Eaton <jwe@octave.org>
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|
1557 q.resize (m, k-1); |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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diff
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|
1558 r.resize (k-1, n-1); |
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diff
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|
1559 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1560 else |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1561 { |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1562 r.resize (k, n-1); |
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diff
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|
1563 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1564 } |
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diff
changeset
|
1565 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1566 template <> |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1567 void |
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|
1568 qr<ComplexMatrix>::delete_col (const Array<octave_idx_type>& j) |
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John W. Eaton <jwe@octave.org>
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|
1569 { |
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|
1570 octave_idx_type m = q.rows (); |
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John W. Eaton <jwe@octave.org>
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|
1571 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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|
1572 octave_idx_type k = q.columns (); |
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diff
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|
1573 |
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|
1574 Array<octave_idx_type> jsi; |
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|
1575 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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|
1576 octave_idx_type nj = js.numel (); |
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|
1577 bool dups = false; |
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|
1578 for (octave_idx_type i = 0; i < nj - 1; i++) |
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|
1579 dups = dups && js(i) == js(i+1); |
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John W. Eaton <jwe@octave.org>
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|
1580 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1581 if (dups) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1582 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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John W. Eaton <jwe@octave.org>
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|
1583 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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|
1584 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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John W. Eaton <jwe@octave.org>
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|
1585 |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1586 if (nj > 0) |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1587 { |
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|
1588 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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John W. Eaton <jwe@octave.org>
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|
1589 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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21202
diff
changeset
|
1590 { |
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21202
diff
changeset
|
1591 octave_idx_type ii = i; |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1592 F77_XFCN (zqrdec, ZQRDEC, (m, n - ii, k == m ? k : k - ii, |
eb1524b07fe3
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diff
changeset
|
1593 q.fortran_vec (), q.rows (), |
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diff
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|
1594 r.fortran_vec (), r.rows (), |
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diff
changeset
|
1595 js(ii) + 1, rw)); |
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21202
diff
changeset
|
1596 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1597 if (k < m) |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1598 { |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1599 q.resize (m, k - nj); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1600 r.resize (k - nj, n - nj); |
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diff
changeset
|
1601 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1602 else |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1603 { |
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better use of templates for qr classes
John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1604 r.resize (k, n - nj); |
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John W. Eaton <jwe@octave.org>
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21202
diff
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|
1605 } |
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diff
changeset
|
1606 |
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John W. Eaton <jwe@octave.org>
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diff
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|
1607 } |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1608 } |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1609 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1610 template <> |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1611 void |
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John W. Eaton <jwe@octave.org>
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|
1612 qr<ComplexMatrix>::insert_row (const ComplexRowVector& u, octave_idx_type j) |
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John W. Eaton <jwe@octave.org>
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|
1613 { |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1614 octave_idx_type m = r.rows (); |
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John W. Eaton <jwe@octave.org>
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|
1615 octave_idx_type n = r.columns (); |
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John W. Eaton <jwe@octave.org>
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|
1616 octave_idx_type k = std::min (m, n); |
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John W. Eaton <jwe@octave.org>
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|
1617 |
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John W. Eaton <jwe@octave.org>
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|
1618 if (! q.is_square () || u.numel () != n) |
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changeset
|
1619 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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John W. Eaton <jwe@octave.org>
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diff
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|
1620 if (j < 0 || j > m) |
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John W. Eaton <jwe@octave.org>
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|
1621 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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John W. Eaton <jwe@octave.org>
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|
1622 |
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|
1623 q.resize (m + 1, m + 1); |
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|
1624 r.resize (m + 1, n); |
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|
1625 ComplexRowVector utmp = u; |
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|
1626 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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|
1627 F77_XFCN (zqrinr, ZQRINR, (m, n, q.fortran_vec (), q.rows (), |
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|
1628 r.fortran_vec (), r.rows (), |
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|
1629 j + 1, utmp.fortran_vec (), rw)); |
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changeset
|
1630 |
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changeset
|
1631 } |
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21202
diff
changeset
|
1632 |
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John W. Eaton <jwe@octave.org>
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21202
diff
changeset
|
1633 template <> |
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
1634 void |
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|
1635 qr<ComplexMatrix>::delete_row (octave_idx_type j) |
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|
1636 { |
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|
1637 octave_idx_type m = r.rows (); |
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|
1638 octave_idx_type n = r.columns (); |
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|
1639 |
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|
1640 if (! q.is_square ()) |
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|
1641 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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|
1642 if (j < 0 || j > m-1) |
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|
1643 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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|
1644 |
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|
1645 OCTAVE_LOCAL_BUFFER (Complex, w, m); |
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|
1646 OCTAVE_LOCAL_BUFFER (double, rw, m); |
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|
1647 F77_XFCN (zqrder, ZQRDER, (m, n, q.fortran_vec (), q.rows (), |
eb1524b07fe3
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|
1648 r.fortran_vec (), r.rows (), j + 1, |
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changeset
|
1649 w, rw)); |
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changeset
|
1650 |
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changeset
|
1651 q.resize (m - 1, m - 1); |
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1652 r.resize (m - 1, n); |
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|
1653 } |
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|
1654 |
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|
1655 template <> |
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|
1656 void |
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|
1657 qr<ComplexMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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|
1658 { |
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|
1659 octave_idx_type m = q.rows (); |
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1660 octave_idx_type k = r.rows (); |
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|
1661 octave_idx_type n = r.columns (); |
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1662 |
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1663 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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1664 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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1665 |
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|
1666 OCTAVE_LOCAL_BUFFER (Complex, w, k); |
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1667 OCTAVE_LOCAL_BUFFER (double, rw, k); |
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1668 F77_XFCN (zqrshc, ZQRSHC, (m, n, k, |
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1669 q.fortran_vec (), q.rows (), |
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|
1670 r.fortran_vec (), r.rows (), |
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|
1671 i + 1, j + 1, w, rw)); |
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1672 } |
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|
1673 |
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|
1674 #endif |
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|
1675 |
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|
1676 template <> |
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|
1677 void |
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|
1678 qr<FloatComplexMatrix>::form (octave_idx_type n, FloatComplexMatrix& afact, FloatComplex *tau, type qr_type) |
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1679 { |
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|
1680 octave_idx_type m = afact.rows (); |
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|
1681 octave_idx_type min_mn = std::min (m, n); |
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|
1682 octave_idx_type info; |
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1683 |
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1684 if (qr_type == qr<FloatComplexMatrix>::raw) |
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|
1685 { |
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|
1686 for (octave_idx_type j = 0; j < min_mn; j++) |
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|
1687 { |
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|
1688 octave_idx_type limit = j < min_mn - 1 ? j : min_mn - 1; |
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1689 for (octave_idx_type i = limit + 1; i < m; i++) |
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1690 afact.elem (i, j) *= tau[j]; |
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|
1691 } |
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|
1692 |
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|
1693 r = afact; |
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|
1694 } |
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|
1695 else |
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|
1696 { |
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diff
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|
1697 // Attempt to minimize copying. |
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|
1698 if (m >= n) |
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|
1699 { |
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|
1700 // afact will become q. |
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|
1701 q = afact; |
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|
1702 octave_idx_type k = qr_type == qr<FloatComplexMatrix>::economy ? n : m; |
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|
1703 r = FloatComplexMatrix (k, n); |
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|
1704 for (octave_idx_type j = 0; j < n; j++) |
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|
1705 { |
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|
1706 octave_idx_type i = 0; |
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|
1707 for (; i <= j; i++) |
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1708 r.xelem (i, j) = afact.xelem (i, j); |
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John W. Eaton <jwe@octave.org>
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|
1709 for (; i < k; i++) |
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|
1710 r.xelem (i, j) = 0; |
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diff
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|
1711 } |
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|
1712 afact = FloatComplexMatrix (); // optimize memory |
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1713 } |
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diff
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|
1714 else |
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|
1715 { |
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diff
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|
1716 // afact will become r. |
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John W. Eaton <jwe@octave.org>
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|
1717 q = FloatComplexMatrix (m, m); |
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John W. Eaton <jwe@octave.org>
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|
1718 for (octave_idx_type j = 0; j < m; j++) |
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|
1719 for (octave_idx_type i = j + 1; i < m; i++) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1720 { |
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diff
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|
1721 q.xelem (i, j) = afact.xelem (i, j); |
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John W. Eaton <jwe@octave.org>
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|
1722 afact.xelem (i, j) = 0; |
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John W. Eaton <jwe@octave.org>
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diff
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|
1723 } |
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diff
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|
1724 r = afact; |
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John W. Eaton <jwe@octave.org>
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diff
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|
1725 } |
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|
1726 |
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|
1727 |
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John W. Eaton <jwe@octave.org>
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diff
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|
1728 if (m > 0) |
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John W. Eaton <jwe@octave.org>
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diff
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|
1729 { |
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|
1730 octave_idx_type k = q.columns (); |
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diff
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|
1731 // workspace query. |
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diff
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|
1732 FloatComplex clwork; |
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diff
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|
1733 F77_XFCN (cungqr, CUNGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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John W. Eaton <jwe@octave.org>
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|
1734 &clwork, -1, info)); |
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diff
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|
1735 |
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|
1736 // allocate buffer and do the job. |
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John W. Eaton <jwe@octave.org>
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|
1737 octave_idx_type lwork = clwork.real (); |
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|
1738 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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|
1739 OCTAVE_LOCAL_BUFFER (FloatComplex, work, lwork); |
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John W. Eaton <jwe@octave.org>
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|
1740 F77_XFCN (cungqr, CUNGQR, (m, k, min_mn, q.fortran_vec (), m, tau, |
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|
1741 work, lwork, info)); |
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|
1742 } |
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|
1743 } |
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|
1744 } |
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|
1745 |
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diff
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|
1746 template <> |
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|
1747 void |
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|
1748 qr<FloatComplexMatrix>::init (const FloatComplexMatrix& a, type qr_type) |
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|
1749 { |
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|
1750 octave_idx_type m = a.rows (); |
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|
1751 octave_idx_type n = a.cols (); |
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|
1752 |
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|
1753 octave_idx_type min_mn = m < n ? m : n; |
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|
1754 OCTAVE_LOCAL_BUFFER (FloatComplex, tau, min_mn); |
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1755 |
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|
1756 octave_idx_type info = 0; |
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|
1757 |
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|
1758 FloatComplexMatrix afact = a; |
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|
1759 if (m > n && qr_type == qr<FloatComplexMatrix>::std) |
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|
1760 afact.resize (m, m); |
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|
1761 |
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|
1762 if (m > 0) |
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|
1763 { |
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|
1764 // workspace query. |
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|
1765 FloatComplex clwork; |
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|
1766 F77_XFCN (cgeqrf, CGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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|
1767 &clwork, -1, info)); |
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|
1768 |
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|
1769 // allocate buffer and do the job. |
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|
1770 octave_idx_type lwork = clwork.real (); |
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|
1771 lwork = std::max (lwork, static_cast<octave_idx_type> (1)); |
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|
1772 OCTAVE_LOCAL_BUFFER (FloatComplex, work, lwork); |
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|
1773 F77_XFCN (cgeqrf, CGEQRF, (m, n, afact.fortran_vec (), m, tau, |
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1774 work, lwork, info)); |
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1775 } |
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1776 |
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1777 form (n, afact, tau, qr_type); |
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1778 } |
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1779 |
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1780 #ifdef HAVE_QRUPDATE |
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1781 |
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1782 template <> |
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1783 void |
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1784 qr<FloatComplexMatrix>::update (const FloatComplexColumnVector& u, const FloatComplexColumnVector& v) |
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1785 { |
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1786 octave_idx_type m = q.rows (); |
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1787 octave_idx_type n = r.columns (); |
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1788 octave_idx_type k = q.columns (); |
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1789 |
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1790 if (u.numel () != m || v.numel () != n) |
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1791 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1792 |
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1793 FloatComplexColumnVector utmp = u; |
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1794 FloatComplexColumnVector vtmp = v; |
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1795 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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1796 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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1797 F77_XFCN (cqr1up, CQR1UP, (m, n, k, q.fortran_vec (), |
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1798 m, r.fortran_vec (), k, |
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1799 utmp.fortran_vec (), vtmp.fortran_vec (), |
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1800 w, rw)); |
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1801 } |
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1802 |
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1803 template <> |
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1804 void |
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1805 qr<FloatComplexMatrix>::update (const FloatComplexMatrix& u, const FloatComplexMatrix& v) |
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1806 { |
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1807 octave_idx_type m = q.rows (); |
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1808 octave_idx_type n = r.columns (); |
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1809 octave_idx_type k = q.columns (); |
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1810 |
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1811 if (u.rows () != m || v.rows () != n || u.cols () != v.cols ()) |
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1812 (*current_liboctave_error_handler) ("qrupdate: dimensions mismatch"); |
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1813 |
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1814 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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1815 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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1816 for (volatile octave_idx_type i = 0; i < u.cols (); i++) |
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1817 { |
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1818 FloatComplexColumnVector utmp = u.column (i); |
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1819 FloatComplexColumnVector vtmp = v.column (i); |
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1820 F77_XFCN (cqr1up, CQR1UP, (m, n, k, q.fortran_vec (), |
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1821 m, r.fortran_vec (), k, |
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1822 utmp.fortran_vec (), vtmp.fortran_vec (), |
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1823 w, rw)); |
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1824 } |
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1825 } |
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1826 |
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1827 template <> |
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1828 void |
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1829 qr<FloatComplexMatrix>::insert_col (const FloatComplexColumnVector& u, octave_idx_type j) |
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1830 { |
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1831 octave_idx_type m = q.rows (); |
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1832 octave_idx_type n = r.columns (); |
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1833 octave_idx_type k = q.columns (); |
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1834 |
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1835 if (u.numel () != m) |
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1836 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1837 if (j < 0 || j > n) |
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1838 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1839 |
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1840 if (k < m) |
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1841 { |
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1842 q.resize (m, k+1); |
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1843 r.resize (k+1, n+1); |
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1844 } |
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1845 else |
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1846 { |
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1847 r.resize (k, n+1); |
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1848 } |
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1849 |
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1850 FloatComplexColumnVector utmp = u; |
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1851 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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1852 F77_XFCN (cqrinc, CQRINC, (m, n, k, q.fortran_vec (), q.rows (), |
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1853 r.fortran_vec (), r.rows (), j + 1, |
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1854 utmp.data (), rw)); |
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1855 } |
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1856 |
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1857 template <> |
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1858 void |
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1859 qr<FloatComplexMatrix>::insert_col (const FloatComplexMatrix& u, const Array<octave_idx_type>& j) |
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1860 { |
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1861 octave_idx_type m = q.rows (); |
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1862 octave_idx_type n = r.columns (); |
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1863 octave_idx_type k = q.columns (); |
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1864 |
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1865 Array<octave_idx_type> jsi; |
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1866 Array<octave_idx_type> js = j.sort (jsi, 0, ASCENDING); |
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1867 octave_idx_type nj = js.numel (); |
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1868 bool dups = false; |
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1869 for (octave_idx_type i = 0; i < nj - 1; i++) |
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1870 dups = dups && js(i) == js(i+1); |
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1871 |
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1872 if (dups) |
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1873 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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1874 if (u.numel () != m || u.columns () != nj) |
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1875 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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1876 if (nj > 0 && (js(0) < 0 || js(nj-1) > n)) |
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1877 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1878 |
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1879 if (nj > 0) |
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1880 { |
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1881 octave_idx_type kmax = std::min (k + nj, m); |
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1882 if (k < m) |
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1883 { |
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1884 q.resize (m, kmax); |
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1885 r.resize (kmax, n + nj); |
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1886 } |
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1887 else |
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1888 { |
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1889 r.resize (k, n + nj); |
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1890 } |
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1891 |
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|
1892 OCTAVE_LOCAL_BUFFER (float, rw, kmax); |
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1893 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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1894 { |
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1895 octave_idx_type ii = i; |
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1896 F77_XFCN (cqrinc, CQRINC, (m, n + ii, std::min (kmax, k + ii), |
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1897 q.fortran_vec (), q.rows (), |
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1898 r.fortran_vec (), r.rows (), js(ii) + 1, |
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1899 u.column (jsi(i)).data (), rw)); |
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1900 } |
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1901 } |
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1902 } |
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1903 |
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1904 template <> |
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1905 void |
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1906 qr<FloatComplexMatrix>::delete_col (octave_idx_type j) |
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1907 { |
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1908 octave_idx_type m = q.rows (); |
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1909 octave_idx_type k = r.rows (); |
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1910 octave_idx_type n = r.columns (); |
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1911 |
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1912 if (j < 0 || j > n-1) |
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1913 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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1914 |
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1915 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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1916 F77_XFCN (cqrdec, CQRDEC, (m, n, k, q.fortran_vec (), q.rows (), |
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1917 r.fortran_vec (), r.rows (), j + 1, rw)); |
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1918 |
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1919 if (k < m) |
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1920 { |
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1921 q.resize (m, k-1); |
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1922 r.resize (k-1, n-1); |
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1923 } |
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1924 else |
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1925 { |
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1926 r.resize (k, n-1); |
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1927 } |
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1928 } |
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1929 |
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1930 template <> |
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1931 void |
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1932 qr<FloatComplexMatrix>::delete_col (const Array<octave_idx_type>& j) |
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1933 { |
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1934 octave_idx_type m = q.rows (); |
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1935 octave_idx_type n = r.columns (); |
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1936 octave_idx_type k = q.columns (); |
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1937 |
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1938 Array<octave_idx_type> jsi; |
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1939 Array<octave_idx_type> js = j.sort (jsi, 0, DESCENDING); |
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1940 octave_idx_type nj = js.numel (); |
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1941 bool dups = false; |
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1942 for (octave_idx_type i = 0; i < nj - 1; i++) |
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1943 dups = dups && js(i) == js(i+1); |
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1944 |
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1945 if (dups) |
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1946 (*current_liboctave_error_handler) ("qrinsert: duplicate index detected"); |
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1947 if (nj > 0 && (js(0) > n-1 || js(nj-1) < 0)) |
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1948 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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1949 |
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1950 if (nj > 0) |
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1951 { |
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1952 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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1953 for (volatile octave_idx_type i = 0; i < js.numel (); i++) |
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1954 { |
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1955 octave_idx_type ii = i; |
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1956 F77_XFCN (cqrdec, CQRDEC, (m, n - ii, k == m ? k : k - ii, |
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1957 q.fortran_vec (), q.rows (), |
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1958 r.fortran_vec (), r.rows (), |
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1959 js(ii) + 1, rw)); |
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1960 } |
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1961 if (k < m) |
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1962 { |
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1963 q.resize (m, k - nj); |
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1964 r.resize (k - nj, n - nj); |
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|
1965 } |
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|
1966 else |
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|
1967 { |
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1968 r.resize (k, n - nj); |
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|
1969 } |
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|
1970 |
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|
1971 } |
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|
1972 } |
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|
1973 |
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|
1974 template <> |
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|
1975 void |
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|
1976 qr<FloatComplexMatrix>::insert_row (const FloatComplexRowVector& u, octave_idx_type j) |
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1977 { |
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1978 octave_idx_type m = r.rows (); |
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1979 octave_idx_type n = r.columns (); |
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1980 octave_idx_type k = std::min (m, n); |
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|
1981 |
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|
1982 if (! q.is_square () || u.numel () != n) |
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|
1983 (*current_liboctave_error_handler) ("qrinsert: dimensions mismatch"); |
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|
1984 if (j < 0 || j > m) |
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|
1985 (*current_liboctave_error_handler) ("qrinsert: index out of range"); |
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|
1986 |
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|
1987 q.resize (m + 1, m + 1); |
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|
1988 r.resize (m + 1, n); |
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|
1989 FloatComplexRowVector utmp = u; |
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|
1990 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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|
1991 F77_XFCN (cqrinr, CQRINR, (m, n, q.fortran_vec (), q.rows (), |
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|
1992 r.fortran_vec (), r.rows (), |
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|
1993 j + 1, utmp.fortran_vec (), rw)); |
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|
1994 |
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|
1995 } |
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|
1996 |
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|
1997 template <> |
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|
1998 void |
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|
1999 qr<FloatComplexMatrix>::delete_row (octave_idx_type j) |
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|
2000 { |
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|
2001 octave_idx_type m = r.rows (); |
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|
2002 octave_idx_type n = r.columns (); |
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|
2003 |
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|
2004 if (! q.is_square ()) |
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|
2005 (*current_liboctave_error_handler) ("qrdelete: dimensions mismatch"); |
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|
2006 if (j < 0 || j > m-1) |
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|
2007 (*current_liboctave_error_handler) ("qrdelete: index out of range"); |
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|
2008 |
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|
2009 OCTAVE_LOCAL_BUFFER (FloatComplex, w, m); |
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|
2010 OCTAVE_LOCAL_BUFFER (float, rw, m); |
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|
2011 F77_XFCN (cqrder, CQRDER, (m, n, q.fortran_vec (), q.rows (), |
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|
2012 r.fortran_vec (), r.rows (), j + 1, |
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|
2013 w, rw)); |
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diff
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|
2014 |
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|
2015 q.resize (m - 1, m - 1); |
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|
2016 r.resize (m - 1, n); |
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|
2017 } |
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|
2018 |
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2019 template <> |
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2020 void |
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2021 qr<FloatComplexMatrix>::shift_cols (octave_idx_type i, octave_idx_type j) |
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2022 { |
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2023 octave_idx_type m = q.rows (); |
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2024 octave_idx_type k = r.rows (); |
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2025 octave_idx_type n = r.columns (); |
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2026 |
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2027 if (i < 0 || i > n-1 || j < 0 || j > n-1) |
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2028 (*current_liboctave_error_handler) ("qrshift: index out of range"); |
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2029 |
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2030 OCTAVE_LOCAL_BUFFER (FloatComplex, w, k); |
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2031 OCTAVE_LOCAL_BUFFER (float, rw, k); |
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2032 F77_XFCN (cqrshc, CQRSHC, (m, n, k, |
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2033 q.fortran_vec (), q.rows (), |
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2034 r.fortran_vec (), r.rows (), |
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2035 i + 1, j + 1, w, rw)); |
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2036 } |
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2037 |
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2038 #endif |
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2039 |
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2040 // Instantiations we need. |
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2041 |
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2042 template class qr<Matrix>; |
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2043 |
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2044 template class qr<FloatMatrix>; |
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2045 |
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2046 template class qr<ComplexMatrix>; |
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2047 |
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2048 template class qr<FloatComplexMatrix>; |