annotate libinterp/corefcn/__contourc__.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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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Contour lines for function evaluated on a grid.
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4 //
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5 // Copyright (C) 2001-2022 The Octave Project Developers
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6 //
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7 // See the file COPYRIGHT.md in the top-level directory of this
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8 // distribution or <https://octave.org/copyright/>.
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9 //
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10 // Adapted to an oct file from the stand alone contourl by Victro Munoz
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11 // Copyright (C) 2004 Victor Munoz
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12 //
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13 // Based on contour plot routine (plcont.c) in PLPlot package
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14 // http://plplot.org/
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15 //
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16 // Copyright (C) 1995, 2000, 2001 Maurice LeBrun
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17 // Copyright (C) 2000, 2002 Joao Cardoso
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18 // Copyright (C) 2000, 2001, 2002, 2004 Alan W. Irwin
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19 // Copyright (C) 2004 Andrew Ross
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20 //
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21 //
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22 // This file is part of Octave.
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23 //
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24 // Octave is free software: you can redistribute it and/or modify it
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25 // under the terms of the GNU General Public License as published by
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26 // the Free Software Foundation, either version 3 of the License, or
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27 // (at your option) any later version.
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28 //
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29 // Octave is distributed in the hope that it will be useful, but
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30 // WITHOUT ANY WARRANTY; without even the implied warranty of
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31 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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32 // GNU General Public License for more details.
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33 //
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34 // You should have received a copy of the GNU General Public License
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35 // along with Octave; see the file COPYING. If not, see
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36 // <https://www.gnu.org/licenses/>.
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37 //
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38 ////////////////////////////////////////////////////////////////////////
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39
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40 #if defined (HAVE_CONFIG_H)
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41 # include "config.h"
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42 #endif
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43
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44 #include <limits>
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45
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46 #include "defun.h"
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47 #include "ov.h"
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48
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49 OCTAVE_BEGIN_NAMESPACE(octave)
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50
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51 // FIXME: this looks like trouble...
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52 static Matrix this_contour;
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53 static Matrix contourc;
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54 static int elem;
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55
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56 // This is the quanta in which we increase this_contour.
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57 #define CONTOUR_QUANT 50
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58
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59 // Add a coordinate point (x,y) to this_contour.
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60 static void
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61 add_point (double x, double y)
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62 {
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63 if (elem % CONTOUR_QUANT == 0)
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64 this_contour = this_contour.append (Matrix (2, CONTOUR_QUANT, 0));
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65
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66 this_contour(0, elem) = x;
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67 this_contour(1, elem) = y;
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68 elem++;
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69 }
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70
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71 // Add contents of current contour to contourc.
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72 // this_contour.cols () - 1;
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73 static void
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74 end_contour (void)
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75 {
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76 if (elem > 2)
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77 {
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78 this_contour(1, 0) = elem - 1;
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79 contourc = contourc.append (this_contour.extract_n (0, 0, 2, elem));
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80 }
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81
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82 this_contour = Matrix ();
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83 elem = 0;
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84 }
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85
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86 // Start a new contour, and add contents of current one to contourc.
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87
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88 static void
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89 start_contour (double lvl, double x, double y)
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90 {
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91 end_contour ();
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92 this_contour.resize (2, 0);
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93 add_point (lvl, 0);
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94 add_point (x, y);
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95 }
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96
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97 static void
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98 drawcn (const RowVector& X, const RowVector& Y, const Matrix& Z,
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99 double lvl, int r, int c, double ct_x, double ct_y,
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100 unsigned int start_edge, bool first, charMatrix& mark)
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101 {
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102 double px[4], py[4], pz[4], tmp;
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103 unsigned int stop_edge, pt[2];
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104
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105 // Continue while next facet is not done yet.
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106 while (r >= 0 && c >= 0 && r < mark.rows () && c < mark.cols ()
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107 && mark(r, c) > 0)
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108 {
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109
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110 //get x, y, and z - lvl for current facet
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111 px[0] = px[3] = X(c);
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112 px[1] = px[2] = X(c+1);
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113
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114 py[0] = py[1] = Y(r);
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115 py[2] = py[3] = Y(r+1);
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116
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117 pz[3] = Z(r+1, c) - lvl;
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118 pz[2] = Z(r+1, c + 1) - lvl;
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119 pz[1] = Z(r, c+1) - lvl;
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120 pz[0] = Z(r, c) - lvl;
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121
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122 // Facet edge and point naming assignment.
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123 //
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124 // 0-----1 .-0-.
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125 // | | | |
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126 // | | 3 1
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127 // | | | |
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128 // 3-----2 .-2-.
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129
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130 // Get mark value of current facet.
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131 char id = static_cast<char> (mark(r, c));
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132
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133 // Check startedge s.
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134 if (start_edge == 255)
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135 {
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136 // Find start edge.
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137 for (unsigned int k = 0; k < 4; k++)
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138 if (static_cast<char> (1 << k) & id)
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139 start_edge = k;
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140 }
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141
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142 if (start_edge == 255)
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143 break;
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144
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145 // Decrease mark value of current facet for start edge.
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146 mark(r, c) -= static_cast<char> (1 << start_edge);
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147
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148 // Next point (clockwise).
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149 pt[0] = start_edge;
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150 pt[1] = (pt[0] + 1) % 4;
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151
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152 // Calculate contour segment start if first of contour.
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153 if (first)
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154 {
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155 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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156
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157 if (math::isnan (tmp))
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158 ct_x = ct_y = 0.5;
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159 else
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160 {
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161 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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162 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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163 }
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164
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165 start_contour (lvl, ct_x, ct_y);
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166 first = false;
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167 }
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168
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169 // Find stop edge.
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170 // FIXME: perhaps this should use a while loop?
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171 for (unsigned int k = 1; k <= 4; k++)
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172 {
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173 if (start_edge == 0 || start_edge == 2)
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174 stop_edge = (start_edge + k) % 4;
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175 else
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176 stop_edge = (start_edge - k) % 4;
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177
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178 if (static_cast<char> (1 << stop_edge) & id)
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179 break;
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180 }
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181
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182 pt[0] = stop_edge;
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183 pt[1] = (pt[0] + 1) % 4;
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184 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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185
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186 if (math::isnan (tmp))
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187 ct_x = ct_y = 0.5;
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188 else
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189 {
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190 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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191 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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192 }
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193
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194 // Add point to contour.
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195 add_point (ct_x, ct_y);
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196
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197 // Decrease id value of current facet for start edge.
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198 mark(r, c) -= static_cast<char> (1 << stop_edge);
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199
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200 // Find next facet.
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201 if (stop_edge == 0)
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202 r--;
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203 else if (stop_edge == 1)
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204 c++;
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205 else if (stop_edge == 2)
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206 r++;
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207 else if (stop_edge == 3)
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208 c--;
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209
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210 // Go to next facet.
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211 start_edge = (stop_edge + 2) % 4;
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212
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213 }
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214 }
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215
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216 static void
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217 mark_facets (const Matrix& Z, charMatrix& mark, double lvl)
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218 {
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219 unsigned int nr = mark.rows ();
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220 unsigned int nc = mark.cols ();
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221
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222 double f[4];
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223
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224 for (unsigned int c = 0; c < nc; c++)
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225 for (unsigned int r = 0; r < nr; r++)
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226 {
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227 f[0] = Z(r, c) - lvl;
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228 f[1] = Z(r, c+1) - lvl;
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229 f[3] = Z(r+1, c) - lvl;
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230 f[2] = Z(r+1, c+1) - lvl;
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231
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232 for (unsigned int i = 0; i < 4; i++)
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233 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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234 f[i] = std::numeric_limits<double>::epsilon ();
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235
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236 if (f[1] * f[2] < 0)
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237 mark(r, c) += 2;
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238
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239 if (f[0] * f[3] < 0)
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240 mark(r, c) += 8;
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241 }
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242
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243 for (unsigned int r = 0; r < nr; r++)
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244 for (unsigned int c = 0; c < nc; c++)
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245 {
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246 f[0] = Z(r, c) - lvl;
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247 f[1] = Z(r, c+1) - lvl;
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248 f[3] = Z(r+1, c) - lvl;
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249 f[2] = Z(r+1, c+1) - lvl;
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250
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251 for (unsigned int i = 0; i < 4; i++)
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252 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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253 f[i] = std::numeric_limits<double>::epsilon ();
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254
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255 if (f[0] * f[1] < 0)
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256 mark(r, c) += 1;
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257
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258 if (f[2] * f[3] < 0)
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259 mark(r, c) += 4;
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260 }
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261 }
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262
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263 static void
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264 cntr (const RowVector& X, const RowVector& Y, const Matrix& Z, double lvl)
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265 {
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266 unsigned int nr = Z.rows ();
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267 unsigned int nc = Z.cols ();
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268
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269 charMatrix mark (nr - 1, nc - 1, 0);
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270
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271 mark_facets (Z, mark, lvl);
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272
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273 // Find contours that start at a domain edge.
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274
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275 for (unsigned int c = 0; c < nc - 1; c++)
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276 {
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277 // Top.
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278 if (mark(0, c) & 1)
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279 drawcn (X, Y, Z, lvl, 0, c, 0.0, 0.0, 0, true, mark);
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280
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281 // Bottom.
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282 if (mark(nr - 2, c) & 4)
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283 drawcn (X, Y, Z, lvl, nr - 2, c, 0.0, 0.0, 2, true, mark);
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284 }
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285
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286 for (unsigned int r = 0; r < nr - 1; r++)
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287 {
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288 // Left.
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289 if (mark(r, 0) & 8)
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290 drawcn (X, Y, Z, lvl, r, 0, 0.0, 0.0, 3, true, mark);
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291
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292 // Right.
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293 if (mark(r, nc - 2) & 2)
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294 drawcn (X, Y, Z, lvl, r, nc - 2, 0.0, 0.0, 1, true, mark);
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295 }
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296
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297 for (unsigned int r = 0; r < nr - 1; r++)
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298 for (unsigned int c = 0; c < nc - 1; c++)
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299 if (mark (r, c) > 0)
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300 drawcn (X, Y, Z, lvl, r, c, 0.0, 0.0, 255, true, mark);
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301 }
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302
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303
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304 DEFUN (__contourc__, args, ,
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305 doc: /* -*- texinfo -*-
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306 @deftypefn {} {@var{c} =} __contourc__ (@var{x}, @var{y}, @var{z}, @var{levels})
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307 Calculate Z-level contours (isolines).
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308 @end deftypefn */)
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309 {
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310 RowVector X = args(0).row_vector_value ();
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311 RowVector Y = args(1).row_vector_value ();
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312 Matrix Z = args(2).matrix_value ();
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313 RowVector L = args(3).row_vector_value ();
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314
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315 contourc.resize (2, 0);
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316
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317 for (int i = 0; i < L.numel (); i++)
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318 cntr (X, Y, Z, L(i));
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319
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320 end_contour ();
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321
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322 return octave_value (contourc);
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323 }
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324
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325 /*
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326 ## No test needed for internal helper function.
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327 %!assert (1)
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328 */
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329
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330 OCTAVE_END_NAMESPACE(octave)