annotate src/DLD-FUNCTIONS/convhulln.cc @ 8920:eb63fbe60fab

update copyright notices
author John W. Eaton <jwe@octave.org>
date Sat, 07 Mar 2009 10:41:27 -0500
parents d0bc587fce55
children 2c279308f6ab
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1 /*
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2
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3 Copyright (C) 2000, 2007, 2008, 2009 Kai Habel
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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 /*
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24 29. July 2000 - Kai Habel: first release
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25 2002-04-22 Paul Kienzle
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26 * Use warning(...) function rather than writing to cerr
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27 2006-05-01 Tom Holroyd
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28 * add support for consistent winding in all dimensions; output is
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29 * guaranteed to be simplicial.
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30 */
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31
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32 #include <sstream>
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33
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34 #ifdef HAVE_CONFIG_H
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35 #include <config.h>
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36 #endif
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37 #include "oct.h"
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38 #include "Cell.h"
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39
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40 #ifdef HAVE_QHULL
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41 #if defined(HAVE__SNPRINTF) && !defined(HAVE_SNPRINTF)
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42 #define snprintf _snprintf
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43 #endif
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44
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45 extern "C" {
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46 #include <qhull/qhull_a.h>
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47 }
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48
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49 #ifdef NEED_QHULL_VERSION
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50 char qh_version[] = "convhulln.oct 2007-07-24";
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51 #endif
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52 #endif
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53
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54 DEFUN_DLD (convhulln, args, nargout,
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55 "-*- texinfo -*-\n\
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56 @deftypefn {Loadable Function} {@var{h} =} convhulln (@var{p})\n\
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57 @deftypefnx {Loadable Function} {@var{h} =} convhulln (@var{p}, @var{opt})\n\
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58 @deftypefnx {Loadable Function} {[@var{h}, @var{v}] =} convhulln (@dots{})\n\
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59 Return an index vector to the points of the enclosing convex hull.\n\
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60 The input matrix of size [n, dim] contains n points of dimension dim.\n\n\
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61 If a second optional argument is given, it must be a string or cell array\n\
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62 of strings containing options for the underlying qhull command. (See\n\
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63 the Qhull documentation for the available options.) The default options\n\
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64 are \"s Qci Tcv\".\n\
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65 If the second output @var{V} is requested the volume of the convex hull is\n\
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66 calculated.\n\n\
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67 @seealso{convhull, delaunayn}\n\
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68 @end deftypefn")
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69 {
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70 octave_value_list retval;
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71
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72 #ifdef HAVE_QHULL
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73 std::string options;
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74
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75 int nargin = args.length ();
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76 if (nargin < 1 || nargin > 2)
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77 {
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78 print_usage ();
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79 return retval;
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80 }
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81
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82 if (nargin == 2)
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83 {
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84 if (args (1).is_string ())
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85 options = args(1).string_value ();
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86 else if (args(1).is_cell ())
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87 {
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88 Cell c = args(1).cell_value ();
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89 options = "";
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90 for (octave_idx_type i = 0; i < c.numel (); i++)
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91 {
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92 if (! c.elem(i).is_string ())
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93 {
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94 error ("convhulln: second argument must be a string or cell array of strings");
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95 return retval;
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96 }
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97
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98 options = options + c.elem(i).string_value() + " ";
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99 }
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100 }
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101 else
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102 {
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103 error ("convhulln: second argument must be a string or cell array of strings");
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104 return retval;
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105 }
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106 }
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107 else
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108 // turn on some consistency checks
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109 options = "s Qci Tcv";
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110
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111 Matrix p (args(0).matrix_value ());
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112
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113 const octave_idx_type dim = p.columns ();
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114 const octave_idx_type n = p.rows ();
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115 p = p.transpose ();
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116
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117 double *pt_array = p.fortran_vec ();
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118
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119 boolT ismalloc = False;
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120
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121 OCTAVE_LOCAL_BUFFER (char, flags, 250);
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122
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123 // hmm, lots of options for qhull here
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124 // QJ guarantees that the output will be triangles
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125 snprintf (flags, 250, "qhull QJ %s", options.c_str ());
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126
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127 if (! qh_new_qhull (dim, n, pt_array, ismalloc, flags, 0, stderr))
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128 {
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129 // If you want some debugging information replace the NULL
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130 // pointer with stdout
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131
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132 vertexT *vertex, **vertexp;
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133 facetT *facet;
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134 setT *vertices;
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135 unsigned int nf = qh num_facets;
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136
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137 Matrix idx (nf, dim);
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138
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139 octave_idx_type j, i = 0;
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140 FORALLfacets
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141 {
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142 j = 0;
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143 if (! facet->simplicial)
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144 // should never happen with QJ
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145 error ("convhulln: non-simplicial facet");
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146
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147 if (dim == 3)
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148 {
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149 vertices = qh_facet3vertex (facet);
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150 FOREACHvertex_ (vertices)
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151 idx(i, j++) = 1 + qh_pointid(vertex->point);
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152 qh_settempfree (&vertices);
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153 }
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154 else
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155 {
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156 if (facet->toporient ^ qh_ORIENTclock)
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157 {
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158 FOREACHvertex_ (facet->vertices)
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159 idx(i, j++) = 1 + qh_pointid(vertex->point);
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160 }
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161 else
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162 {
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163 FOREACHvertexreverse12_ (facet->vertices)
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164 idx(i, j++) = 1 + qh_pointid(vertex->point);
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165 }
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166 }
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167 if (j < dim)
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168 // likewise but less fatal
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169 warning ("facet %d only has %d vertices", i, j);
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170 i++;
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171 }
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172
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173 if (nargout == 2)
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174 // calculate volume of convex hull
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175 // taken from qhull src/geom2.c
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176 {
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177 realT area;
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178 realT dist;
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179
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180 FORALLfacets
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181 {
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182 if (! facet->normal)
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183 continue;
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184
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185 if (facet->upperdelaunay && qh ATinfinity)
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186 continue;
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187
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188 facet->f.area = area = qh_facetarea (facet);
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189 facet->isarea = True;
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190
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191 if (qh DELAUNAY)
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192 {
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193 if (facet->upperdelaunay == qh UPPERdelaunay)
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194 qh totarea += area;
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195 }
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196 else
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197 {
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198 qh totarea += area;
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199 qh_distplane (qh interior_point, facet, &dist);
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200 qh totvol += -dist * area/ qh hull_dim;
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201 }
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202 }
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203
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204 retval(1) = octave_value (qh totvol);
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205 }
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206
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207 retval(0) = octave_value (idx);
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208 }
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209
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210 // free long memory
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211 qh_freeqhull (! qh_ALL);
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212
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213 // free short memory and memory allocator
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214 int curlong, totlong;
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215 qh_memfreeshort (&curlong, &totlong);
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216
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217 if (curlong || totlong)
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218 warning ("convhulln: did not free %d bytes of long memory (%d pieces)",
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219 totlong, curlong);
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220 #else
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221 error ("convhulln: not available in this version of Octave");
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222 #endif
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223
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224 return retval;
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225 }
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226
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227 /*
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228 %!test
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229 %! cube = [0 0 0;1 0 0;1 1 0;0 1 0;0 0 1;1 0 1;1 1 1;0 1 1];
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230 %! [h, v] = convhulln(cube,'Pp');
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231 %! assert (v, 1.0, 1e6*eps);
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232 %!test
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233 %! tetrahedron = [1 1 1;-1 -1 1;-1 1 -1;1 -1 -1];
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234 %! [h, v] = convhulln(tetrahedron,'Pp');
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235 %! assert (v, 8/3, 1e6*eps);
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236 */