annotate libinterp/corefcn/tril.cc @ 31605:e88a07dec498 stable

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author Rik <rik@octave.org>
date Thu, 01 Dec 2022 14:23:45 -0800
parents 796f54d4ddbf
children 597f3ee61a48
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rev   line source
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 2004-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include <algorithm>
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31 #include "Array.h"
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32 #include "Sparse.h"
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33 #include "mx-base.h"
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34
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35 #include "ov.h"
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36 #include "Cell.h"
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37
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38 #include "defun.h"
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39 #include "error.h"
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40 #include "ovl.h"
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41
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42 OCTAVE_BEGIN_NAMESPACE(octave)
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43
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44 // The bulk of the work.
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45 template <typename T>
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46 static Array<T>
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47 do_tril (const Array<T>& a, octave_idx_type k, bool pack)
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48 {
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49 octave_idx_type nr = a.rows ();
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50 octave_idx_type nc = a.columns ();
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51 const T *avec = a.data ();
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52 octave_idx_type zero = 0;
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53
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54 if (pack)
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55 {
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56 octave_idx_type j1 = std::min (std::max (zero, k), nc);
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57 octave_idx_type j2 = std::min (std::max (zero, nr + k), nc);
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58 octave_idx_type n = j1 * nr + ((j2 - j1) * (nr-(j1-k) + nr-(j2-1-k))) / 2;
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59 Array<T> r (dim_vector (n, 1));
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60 T *rvec = r.fortran_vec ();
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61 for (octave_idx_type j = 0; j < nc; j++)
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62 {
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63 octave_idx_type ii = std::min (std::max (zero, j - k), nr);
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64 rvec = std::copy (avec + ii, avec + nr, rvec);
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65 avec += nr;
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66 }
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67
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68 return r;
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69 }
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70 else
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71 {
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72 Array<T> r (a.dims ());
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73 T *rvec = r.fortran_vec ();
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74 for (octave_idx_type j = 0; j < nc; j++)
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75 {
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76 octave_idx_type ii = std::min (std::max (zero, j - k), nr);
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77 std::fill (rvec, rvec + ii, T ());
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78 std::copy (avec + ii, avec + nr, rvec + ii);
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79 avec += nr;
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80 rvec += nr;
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81 }
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82
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83 return r;
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84 }
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85 }
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86
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87 template <typename T>
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88 static Array<T>
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89 do_triu (const Array<T>& a, octave_idx_type k, bool pack)
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90 {
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91 octave_idx_type nr = a.rows ();
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92 octave_idx_type nc = a.columns ();
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93 const T *avec = a.data ();
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94 octave_idx_type zero = 0;
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95
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96 if (pack)
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97 {
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98 octave_idx_type j1 = std::min (std::max (zero, k), nc);
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99 octave_idx_type j2 = std::min (std::max (zero, nr + k), nc);
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100 octave_idx_type n
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101 = ((j2 - j1) * ((j1+1-k) + (j2-k))) / 2 + (nc - j2) * nr;
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102 Array<T> r (dim_vector (n, 1));
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103 T *rvec = r.fortran_vec ();
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104 for (octave_idx_type j = 0; j < nc; j++)
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105 {
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106 octave_idx_type ii = std::min (std::max (zero, j + 1 - k), nr);
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107 rvec = std::copy (avec, avec + ii, rvec);
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108 avec += nr;
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109 }
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110
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111 return r;
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112 }
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113 else
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114 {
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115 Array<T> r (a.dims ());
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116 T *rvec = r.fortran_vec ();
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117 for (octave_idx_type j = 0; j < nc; j++)
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118 {
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119 octave_idx_type ii = std::min (std::max (zero, j + 1 - k), nr);
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120 std::copy (avec, avec + ii, rvec);
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121 std::fill (rvec + ii, rvec + nr, T ());
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122 avec += nr;
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123 rvec += nr;
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124 }
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125
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126 return r;
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127 }
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128 }
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129
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130 // These two are by David Bateman.
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131 // FIXME: optimizations possible. "pack" support missing.
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132
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133 template <typename T>
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134 static Sparse<T>
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135 do_tril (const Sparse<T>& a, octave_idx_type k, bool pack)
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136 {
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137 if (pack) // FIXME
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138 error (R"(tril: "pack" not implemented for sparse matrices)");
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139
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140 Sparse<T> m = a;
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141 octave_idx_type nc = m.cols ();
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142
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143 for (octave_idx_type j = 0; j < nc; j++)
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144 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++)
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145 if (m.ridx (i) < j-k)
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146 m.data(i) = 0.;
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147
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148 m.maybe_compress (true);
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149
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150 return m;
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151 }
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152
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153 template <typename T>
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154 static Sparse<T>
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155 do_triu (const Sparse<T>& a, octave_idx_type k, bool pack)
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156 {
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157 if (pack) // FIXME
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158 error (R"(triu: "pack" not implemented for sparse matrices)");
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159
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160 Sparse<T> m = a;
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161 octave_idx_type nc = m.cols ();
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162
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163 for (octave_idx_type j = 0; j < nc; j++)
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164 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++)
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165 if (m.ridx (i) > j-k)
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166 m.data(i) = 0.;
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167
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168 m.maybe_compress (true);
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169 return m;
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170 }
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171
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172 // Convenience dispatchers.
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173 template <typename T>
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174 static Array<T>
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175 do_trilu (const Array<T>& a, octave_idx_type k, bool lower, bool pack)
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176 {
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177 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack);
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178 }
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179
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180 template <typename T>
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181 static Sparse<T>
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182 do_trilu (const Sparse<T>& a, octave_idx_type k, bool lower, bool pack)
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183 {
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184 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack);
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185 }
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186
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187 static octave_value
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188 do_trilu (const std::string& name,
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189 const octave_value_list& args)
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190 {
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191 bool lower = (name == "tril");
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192
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193 int nargin = args.length ();
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194 bool pack = false;
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195
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196 if (nargin >= 2 && args(nargin-1).is_string ())
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197 {
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198 pack = (args(nargin-1).string_value () == "pack");
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199 nargin--;
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200 }
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201
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202 if (nargin < 1 || nargin > 2)
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203 print_usage ();
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204
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205 octave_idx_type k = 0;
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206 if (nargin == 2)
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207 k = args(1).idx_type_value (true);
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208
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209 octave_value arg = args(0);
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210
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211 dim_vector dims = arg.dims ();
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212 if (dims.ndims () != 2)
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213 error ("%s: need a 2-D matrix", name.c_str ());
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214 else if (k < -dims(0))
91f245908132 allow K to be out of range in tril and triu functions
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215 k = -dims(0);
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216 else if (k > dims(1))
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217 k = dims(1);
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218
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219 octave_value retval;
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220
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221 switch (arg.builtin_type ())
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222 {
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223 case btyp_double:
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224 if (arg.issparse ())
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225 retval = do_trilu (arg.sparse_matrix_value (), k, lower, pack);
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226 else
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227 retval = do_trilu (arg.array_value (), k, lower, pack);
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228 break;
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229
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230 case btyp_complex:
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231 if (arg.issparse ())
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232 retval = do_trilu (arg.sparse_complex_matrix_value (), k, lower,
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233 pack);
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234 else
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235 retval = do_trilu (arg.complex_array_value (), k, lower, pack);
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236 break;
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237
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238 case btyp_bool:
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239 if (arg.issparse ())
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240 retval = do_trilu (arg.sparse_bool_matrix_value (), k, lower,
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241 pack);
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242 else
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243 retval = do_trilu (arg.bool_array_value (), k, lower, pack);
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244 break;
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245
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246 #define ARRAYCASE(TYP) \
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247 case btyp_ ## TYP: \
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248 retval = do_trilu (arg.TYP ## _array_value (), k, lower, pack); \
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249 break
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250
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251 ARRAYCASE (float);
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252 ARRAYCASE (float_complex);
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253 ARRAYCASE (int8);
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254 ARRAYCASE (int16);
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255 ARRAYCASE (int32);
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256 ARRAYCASE (int64);
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257 ARRAYCASE (uint8);
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258 ARRAYCASE (uint16);
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259 ARRAYCASE (uint32);
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260 ARRAYCASE (uint64);
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261 ARRAYCASE (char);
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262
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263 #undef ARRAYCASE
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264
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265 default:
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266 {
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267 // Generic code that works on octave-values, that is slow
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268 // but will also work on arbitrary user types
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269 if (pack) // FIXME
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270 error (R"(%s: "pack" not implemented for class %s)",
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271 name.c_str (), arg.class_name ().c_str ());
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272
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273 octave_value tmp = arg;
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274 if (arg.isempty ())
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275 return arg;
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276
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277 octave_idx_type nr = dims(0);
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278 octave_idx_type nc = dims(1);
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279
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280 // The sole purpose of this code is to force the correct matrix size.
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281 // This would not be necessary if the octave_value resize function
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282 // allowed a fill_value. It also allows odd attributes in some user
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283 // types to be handled. With a fill_value, it should be replaced with
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284 //
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285 // octave_value_list ov_idx;
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286 // tmp = tmp.resize(dim_vector (0,0)).resize (dims, fill_value);
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287
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288 octave_value_list ov_idx;
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289 std::list<octave_value_list> idx_tmp;
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290 ov_idx(1) = static_cast<double> (nc+1);
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291 ov_idx(0) = range<double> (1, nr);
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292 idx_tmp.push_back (ov_idx);
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293 ov_idx(1) = static_cast<double> (nc);
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294 tmp = tmp.resize (dim_vector (0, 0));
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295 tmp = tmp.subsasgn ("(", idx_tmp, arg.index_op (ov_idx));
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296 tmp = tmp.resize (dims);
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297
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298 octave_idx_type one = 1;
270ffe1e7647 tril.cc: Use standard functions for min and max operations.
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299
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300 if (lower)
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301 {
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diff changeset
302 octave_idx_type st = std::min (nc, nr + k);
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303
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304 for (octave_idx_type j = 1; j <= st; j++)
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305 {
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diff changeset
306 octave_idx_type nr_limit = std::max (one, j - k);
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307 ov_idx(1) = static_cast<double> (j);
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308 ov_idx(0) = range<double> (nr_limit, nr);
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309 std::list<octave_value_list> idx;
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diff changeset
310 idx.push_back (ov_idx);
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311
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diff changeset
312 tmp = tmp.subsasgn ("(", idx, arg.index_op (ov_idx));
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313 }
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diff changeset
314 }
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315 else
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diff changeset
316 {
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diff changeset
317 octave_idx_type st = std::max (k + 1, one);
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diff changeset
318
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diff changeset
319 for (octave_idx_type j = st; j <= nc; j++)
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diff changeset
320 {
29606
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diff changeset
321 octave_idx_type nr_limit = std::min (nr, j - k);
20939
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diff changeset
322 ov_idx(1) = static_cast<double> (j);
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diff changeset
323 ov_idx(0) = range<double> (1, nr_limit);
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diff changeset
324 std::list<octave_value_list> idx;
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diff changeset
325 idx.push_back (ov_idx);
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diff changeset
326
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diff changeset
327 tmp = tmp.subsasgn ("(", idx, arg.index_op (ov_idx));
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diff changeset
328 }
20939
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diff changeset
329 }
20800
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diff changeset
330
20939
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331 retval = tmp;
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diff changeset
332 }
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333 }
b134960cea23 implement built-in tril/triu
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diff changeset
334
b134960cea23 implement built-in tril/triu
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diff changeset
335 return retval;
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diff changeset
336 }
b134960cea23 implement built-in tril/triu
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diff changeset
337
15039
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Rik <rik@octave.org>
parents: 14854
diff changeset
338 DEFUN (tril, args, ,
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
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diff changeset
339 doc: /* -*- texinfo -*-
25018
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diff changeset
340 @deftypefn {} {@var{A_LO} =} tril (@var{A})
ed3d7a33551b doc: Redo documentation for tril and triu.
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diff changeset
341 @deftypefnx {} {@var{A_LO} =} tril (@var{A}, @var{k})
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diff changeset
342 @deftypefnx {} {@var{A_LO} =} tril (@var{A}, @var{k}, @var{pack})
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diff changeset
343 Return a new matrix formed by extracting the lower triangular part of the
ed3d7a33551b doc: Redo documentation for tril and triu.
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diff changeset
344 matrix @var{A}, and setting all other elements to zero.
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diff changeset
345
25018
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346 The optional second argument specifies how many diagonals above or below the
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diff changeset
347 main diagonal should also be set to zero. The default value of @var{k} is
ed3d7a33551b doc: Redo documentation for tril and triu.
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diff changeset
348 zero which includes the main diagonal as part of the result. If the value of
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diff changeset
349 @var{k} is a nonzero integer then the selection of elements starts at an offset
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diff changeset
350 of @var{k} diagonals above the main diagonal for positive @var{k} or below the
ed3d7a33551b doc: Redo documentation for tril and triu.
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parents: 24534
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351 main diagonal for negative @var{k}. The absolute value of @var{k} may not be
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352 greater than the number of subdiagonals or superdiagonals.
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353
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354 Example 1 : exclude main diagonal
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355
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356 @example
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357 @group
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358 tril (ones (3), -1)
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359 @result{} 0 0 0
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360 1 0 0
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361 1 1 0
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362 @end group
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363 @end example
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364
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365 @noindent
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366
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367 Example 2 : include first superdiagonal
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368
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369 @example
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370 @group
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371 tril (ones (3), 1)
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372 @result{} 1 1 0
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373 1 1 1
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374 1 1 1
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375 @end group
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376 @end example
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377
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378 If the optional third argument @qcode{"pack"} is given then the extracted
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379 elements are not inserted into a matrix, but instead stacked column-wise one
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380 above another, and returned as a column vector.
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381 @seealso{triu, istril, diag}
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382 @end deftypefn */)
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383 {
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384 return do_trilu ("tril", args);
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385 }
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386
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387 DEFUN (triu, args, ,
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388 doc: /* -*- texinfo -*-
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389 @deftypefn {} {@var{A_UP} =} triu (@var{A})
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390 @deftypefnx {} {@var{A_UP} =} triu (@var{A}, @var{k})
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391 @deftypefnx {} {@var{A_UP} =} triu (@var{A}, @var{k}, @var{pack})
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392 Return a new matrix formed by extracting the upper triangular part of the
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393 matrix @var{A}, and setting all other elements to zero.
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394
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395 The optional second argument specifies how many diagonals above or below the
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396 main diagonal should also be set to zero. The default value of @var{k} is
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397 zero which includes the main diagonal as part of the result. If the value of
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398 @var{k} is a nonzero integer then the selection of elements starts at an offset
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399 of @var{k} diagonals above the main diagonal for positive @var{k} or below the
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400 main diagonal for negative @var{k}. The absolute value of @var{k} may not be
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401 greater than the number of subdiagonals or superdiagonals.
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402
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403 Example 1 : exclude main diagonal
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404
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405 @example
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406 @group
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407 triu (ones (3), 1)
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408 @result{} 0 1 1
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409 0 0 1
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410 0 0 0
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411 @end group
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412 @end example
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413
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414 @noindent
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415
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416 Example 2 : include first subdiagonal
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417
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418 @example
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419 @group
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420 triu (ones (3), -1)
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421 @result{} 1 1 1
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422 1 1 1
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423 0 1 1
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424 @end group
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425 @end example
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426
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427 If the optional third argument @qcode{"pack"} is given then the extracted
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428 elements are not inserted into a matrix, but instead stacked column-wise one
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429 above another, and returned as a column vector.
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430 @seealso{tril, istriu, diag}
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431 @end deftypefn */)
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432 {
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433 return do_trilu ("triu", args);
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434 }
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435
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436 /*
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437 %!shared a, l2, l1, l0, lm1, lm2, lm3, lm4
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438 %! a = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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439 %!
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440 %! l2 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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441 %! l1 = [1, 2, 0; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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442 %! l0 = [1, 0, 0; 4, 5, 0; 7, 8, 9; 10, 11, 12];
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443 %! lm1 = [0, 0, 0; 4, 0, 0; 7, 8, 0; 10, 11, 12];
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444 %! lm2 = [0, 0, 0; 0, 0, 0; 7, 0, 0; 10, 11, 0];
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445 %! lm3 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 10, 0, 0];
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446 %! lm4 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 0, 0, 0];
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447 %!
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448 %!assert (tril (a, 3), l2)
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449 %!assert (tril (a, 2), l2)
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450 %!assert (tril (a, 1), l1)
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451 %!assert (tril (a, 0), l0)
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452 %!assert (tril (a), l0)
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453 %!assert (tril (a, -1), lm1)
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454 %!assert (tril (a, -2), lm2)
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455 %!assert (tril (a, -3), lm3)
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456 %!assert (tril (a, -4), lm4)
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457 %!assert (tril (a, -5), lm4)
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458
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459 %!shared a, u3, u2, u1, u0, um1, um2, um3
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460 %!
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461 %! a = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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462 %!
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463 %! u3 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 0, 0, 0];
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464 %! u2 = [0, 0, 3; 0, 0, 0; 0, 0, 0; 0, 0, 0];
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465 %! u1 = [0, 2, 3; 0, 0, 6; 0, 0, 0; 0, 0, 0];
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466 %! u0 = [1, 2, 3; 0, 5, 6; 0, 0, 9; 0, 0, 0];
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467 %! um1 = [1, 2, 3; 4, 5, 6; 0, 8, 9; 0, 0, 12];
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468 %! um2 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 0, 11, 12];
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469 %! um3 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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470 %!
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471 %!assert (triu (a, 4), u3)
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472 %!assert (triu (a, 3), u3)
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473 %!assert (triu (a, 2), u2)
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474 %!assert (triu (a, 1), u1)
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475 %!assert (triu (a, 0), u0)
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476 %!assert (triu (a), u0)
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477 %!assert (triu (a, -1), um1)
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478 %!assert (triu (a, -2), um2)
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479 %!assert (triu (a, -3), um3)
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480 %!assert (triu (a, -4), um3)
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481
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482 %!error tril ()
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483 %!error triu ()
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diff changeset
484 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29931
diff changeset
485
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 30564
diff changeset
486 OCTAVE_END_NAMESPACE(octave)