annotate libinterp/corefcn/tsearch.cc @ 21966:112b20240c87

move docstrings in C++ files out of C strings and into comments * __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc, cellfun.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, det.cc, dirfns.cc, dlmread.cc, dot.cc, eig.cc, ellipj.cc, error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, octave-link.cc, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.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, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.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, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-range.cc, ov-re-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, octave.cc, pt-arg-list.cc, pt-binop.cc, pt-eval.cc, pt-mat.cc, lex.ll, oct-parse.in.yy: Docstrings are now comments instead of C strings. * build-aux/mk-opts.pl: Emit docstrings as comments instead of C strings. * DASPK-opts.in, LSODE-opts.in: Don't quote " in docstring fragments. * builtins.h: Include builtin-defun-decls.h unconditionally. * defun.h (DEFUN, DEFUNX, DEFCONSTFUN): Simply emit declaration. (DEFALIAS): Always expand to nothing. * defun-dld.h: No special macro expansions for MAKE_BUILTINS. (DEFUN_DLD): Use FORWARD_DECLARE_FUN. (DEFUNX_DLD): Use FORWARD_DECLARE_FUNX. * defun-int.h: No special macro expansions for MAKE_BUILTINS. (FORWARD_DECLARE_FUN, FORWARD_DECLARE_FUNX): New macros. (DEFINE_FUN_INSTALLER_FUN): If compiling an Octave source file, pass "external-doc" to DEFINE_FUNX_INSTALLER_FUN. (DEFUN_INTERNAL, DEFCONSTFUN_INTERNAL, DEFUNX_INTERNAL, DEFALIAS_INTERNAL): Delete. * common.mk (move_if_change_rule): New macro. (simple_move_if_change_rule): Define using move_if_change_rule. * find-defun-files.sh (DEFUN_PATTERN): Update. Don't transform file name extension to ".df". * libinterp/mk-pkg-add, gendoc.pl: Operate directly on source files. * mkbuiltins: New argument, SRCDIR. Operate directly on source files. * mkdefs: Delete. * libinterp/module.mk (BUILT_SOURCES): Update list to contain only files included in other source files. (GENERATED_MAKE_BUILTINS_INCS, DEF_FILES): Delete. (LIBINTERP_BUILT_DISTFILES): Include $(OPT_HANDLERS) here. (LIBINTERP_BUILT_NODISTFILES): Not here. Remove $(ALL_DEF_FILES from the list. (libinterp_EXTRA_DIST): Remove mkdefs from the list. (FOUND_DEFUN_FILES): Rename from SRC_DEF_FILES. (DLDFCN_DEFUN_FILES): Rename from DLDFCN_DEF_FILES. (SRC_DEFUN_FILES): Rename from SRC_DEF_FILES. (ALL_DEFUN_FILES): Rename from ALL_DEF_FILES. (%.df: %.cc): Delete pattern rule. (libinterp/build-env-features.cc, libinterp/builtins.cc, libinterp/dldfcn/PKG_ADD): Use mv instead of move-if-change. (libinterp/builtins.cc, libinterp/builtin-defun-decls.h): Update mkbuiltins command. ($(srcdir)/libinterp/DOCSTRINGS): Update gendoc.pl command. * liboctave/module.mk (BUILT_SOURCES): Don't include liboctave-build-info.cc in the list.
author John W. Eaton <jwe@octave.org>
date Tue, 21 Jun 2016 16:07:51 -0400
parents aba2e6293dd8
children bac0d6f07a3e
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1 /*
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2
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3 Copyright (C) 2002-2015 Andreas Stahel
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 // Author: Andreas Stahel <Andreas.Stahel@hta-bi.bfh.ch>
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24
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25 #if defined (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 "lo-ieee.h"
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30 #include "lo-math.h"
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32 #include "defun.h"
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33 #include "error.h"
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34 #include "ovl.h"
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35
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36 inline double max (double a, double b, double c)
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37 {
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38 if (a < b)
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39 return (b < c ? c : b);
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40 else
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41 return (a < c ? c : a);
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42 }
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44 inline double min (double a, double b, double c)
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45 {
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46 if (a > b)
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47 return (b > c ? c : b);
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48 else
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49 return (a > c ? c : a);
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50 }
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51
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52 #define REF(x,k,i) x(static_cast<octave_idx_type>(elem((k), (i))) - 1)
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53
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54 // for large data set the algorithm is very slow
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55 // one should presort (how?) either the elements of the points of evaluation
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56 // to cut down the time needed to decide which triangle contains the
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57 // given point
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58
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59 // e.g., build up a neighbouring triangle structure and use a simplex-like
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60 // method to traverse it
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61
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62 DEFUN (tsearch, args, ,
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63 doc: /* -*- texinfo -*-
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64 @deftypefn {} {@var{idx} =} tsearch (@var{x}, @var{y}, @var{t}, @var{xi}, @var{yi})
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65 Search for the enclosing Delaunay convex hull.
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66
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67 For @code{@var{t} = delaunay (@var{x}, @var{y})}, finds the index in @var{t}
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68 containing the points @code{(@var{xi}, @var{yi})}. For points outside the
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69 convex hull, @var{idx} is NaN.
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70 @seealso{delaunay, delaunayn}
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71 @end deftypefn */)
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72 {
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73 if (args.length () != 5)
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74 print_usage ();
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75
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76 const double eps = 1.0e-12;
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77
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78 const ColumnVector x (args(0).vector_value ());
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79 const ColumnVector y (args(1).vector_value ());
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80 const Matrix elem (args(2).matrix_value ());
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81 const ColumnVector xi (args(3).vector_value ());
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82 const ColumnVector yi (args(4).vector_value ());
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83
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84 const octave_idx_type nelem = elem.rows ();
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85
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86 ColumnVector minx (nelem);
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87 ColumnVector maxx (nelem);
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88 ColumnVector miny (nelem);
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89 ColumnVector maxy (nelem);
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90 for (octave_idx_type k = 0; k < nelem; k++)
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91 {
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92 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps;
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93 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps;
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94 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps;
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95 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps;
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96 }
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97
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98 const octave_idx_type np = xi.numel ();
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99 ColumnVector values (np);
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100
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101 double x0, y0, a11, a12, a21, a22, det;
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102 x0 = y0 = 0.0;
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103 a11 = a12 = a21 = a22 = 0.0;
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104 det = 0.0;
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105
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106 octave_idx_type k = nelem; // k is a counter of elements
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107 for (octave_idx_type kp = 0; kp < np; kp++)
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108 {
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109 const double xt = xi(kp);
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110 const double yt = yi(kp);
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111
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112 // check if last triangle contains the next point
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113 if (k < nelem)
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114 {
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115 const double dx1 = xt - x0;
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116 const double dx2 = yt - y0;
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117 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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118 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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119 if (c1 >= -eps && c2 >= -eps && (c1 + c2) <= (1 + eps))
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120 {
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121 values(kp) = double(k+1);
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122 continue;
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123 }
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124 }
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125
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126 // it doesn't, so go through all elements
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127 for (k = 0; k < nelem; k++)
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128 {
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129 OCTAVE_QUIT;
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130 if (xt >= minx(k) && xt <= maxx(k) && yt >= miny(k) && yt <= maxy(k))
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131 {
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132 // element inside the minimum rectangle: examine it closely
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133 x0 = REF (x, k, 0);
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134 y0 = REF (y, k, 0);
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135 a11 = REF (x, k, 1) - x0;
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136 a12 = REF (y, k, 1) - y0;
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137 a21 = REF (x, k, 2) - x0;
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138 a22 = REF (y, k, 2) - y0;
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139 det = a11 * a22 - a21 * a12;
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140
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141 // solve the system
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142 const double dx1 = xt - x0;
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143 const double dx2 = yt - y0;
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144 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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145 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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146 if ((c1 >= -eps) && (c2 >= -eps) && ((c1 + c2) <= (1 + eps)))
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147 {
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148 values(kp) = double(k+1);
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149 break;
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150 }
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151 } //endif # examine this element closely
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152 } //endfor # each element
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153
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154 if (k == nelem)
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155 values(kp) = lo_ieee_nan_value ();
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156
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157 } //endfor # kp
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158
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159 return ovl (values);
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160 }
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161
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162 /*
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163 %!shared x, y, tri
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164 %! x = [-1;-1;1];
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165 %! y = [-1;1;-1];
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166 %! tri = [1, 2, 3];
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167 %!assert (tsearch (x,y,tri,-1,-1), 1)
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168 %!assert (tsearch (x,y,tri, 1,-1), 1)
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169 %!assert (tsearch (x,y,tri,-1, 1), 1)
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170 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1)
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171 %!assert (tsearch (x,y,tri, 1, 1), NaN)
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172
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173 %!error tsearch ()
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174 */