annotate src/DLD-FUNCTIONS/convhulln.cc @ 10257:cd550069240e

assume vsnprintf from gnulib; use sstream instead of snprintf
author John W. Eaton <jwe@octave.org>
date Wed, 03 Feb 2010 06:34:29 -0500
parents 40dfc0c99116
children b2143d97c002
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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 #ifdef HAVE_CONFIG_H
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33 #include <config.h>
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34 #endif
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35
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36 #include <sstream>
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37
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38 #include "Cell.h"
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39 #include "defun-dld.h"
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40 #include "error.h"
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41 #include "oct-obj.h"
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42 #include "parse.h"
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43
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44 extern "C" {
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45 #include <qhull/qhull_a.h>
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46 }
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47
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48 #if defined (HAVE_QHULL) && defined (NEED_QHULL_VERSION)
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49 char qh_version[] = "convhulln.oct 2007-07-24";
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50 #endif
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51
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52 DEFUN_DLD (convhulln, args, nargout,
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53 "-*- texinfo -*-\n\
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54 @deftypefn {Loadable Function} {@var{h} =} convhulln (@var{p})\n\
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55 @deftypefnx {Loadable Function} {@var{h} =} convhulln (@var{p}, @var{opt})\n\
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56 @deftypefnx {Loadable Function} {[@var{h}, @var{v}] =} convhulln (@dots{})\n\
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57 Return an index vector to the points of the enclosing convex hull.\n\
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58 The input matrix of size [n, dim] contains n points of dimension dim.\n\n\
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59 If a second optional argument is given, it must be a string or cell array\n\
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60 of strings containing options for the underlying qhull command. (See\n\
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61 the Qhull documentation for the available options.) The default options\n\
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62 are \"s Qci Tcv\".\n\
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63 If the second output @var{V} is requested the volume of the convex hull is\n\
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64 calculated.\n\n\
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65 @seealso{convhull, delaunayn}\n\
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66 @end deftypefn")
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67 {
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68 octave_value_list retval;
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69
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70 #ifdef HAVE_QHULL
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71 std::string options;
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72
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73 int nargin = args.length ();
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74 if (nargin < 1 || nargin > 2)
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75 {
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76 print_usage ();
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77 return retval;
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78 }
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79
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80 if (nargin == 2)
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81 {
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82 if (args (1).is_string ())
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83 options = args(1).string_value ();
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84 else if (args(1).is_cell ())
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85 {
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86 Cell c = args(1).cell_value ();
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87 options = "";
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88 for (octave_idx_type i = 0; i < c.numel (); i++)
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89 {
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90 if (! c.elem(i).is_string ())
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91 {
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92 error ("convhulln: second argument must be a string or cell array of strings");
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93 return retval;
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94 }
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95
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96 options = options + c.elem(i).string_value() + " ";
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97 }
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98 }
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99 else
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100 {
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101 error ("convhulln: second argument must be a string or cell array of strings");
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102 return retval;
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103 }
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104 }
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105 else
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106 // turn on some consistency checks
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107 options = "s Qci Tcv";
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108
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109 Matrix p (args(0).matrix_value ());
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110
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111 const octave_idx_type dim = p.columns ();
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112 const octave_idx_type n = p.rows ();
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113 p = p.transpose ();
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114
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115 double *pt_array = p.fortran_vec ();
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116
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117 boolT ismalloc = False;
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118
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119 std::ostringstream buf;
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120
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121 buf << "qhull QJ " << options;
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122
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123 std::string buf_string = buf.str ();
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124
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125 // FIXME -- we can't just pass buf_string.c_str () to qh_new_qhull
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126 // because the argument is not declared const. Ugh. Unless
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127 // qh_new_qhull really needs to modify this argument, someone should
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128 // fix QHULL.
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129
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130 OCTAVE_LOCAL_BUFFER (char, flags, buf_string.length () + 1);
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131
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132 strcpy (flags, buf_string.c_str ());
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133
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134 if (! qh_new_qhull (dim, n, pt_array, ismalloc, flags, 0, stderr))
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135 {
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136 // If you want some debugging information replace the NULL
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137 // pointer with stdout
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138
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139 vertexT *vertex, **vertexp;
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140 facetT *facet;
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141 setT *vertices;
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142 unsigned int nf = qh num_facets;
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143
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144 Matrix idx (nf, dim);
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145
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146 octave_idx_type j, i = 0;
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147 FORALLfacets
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148 {
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149 j = 0;
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150 if (! facet->simplicial)
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151 // should never happen with QJ
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152 error ("convhulln: non-simplicial facet");
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153
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154 if (dim == 3)
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155 {
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156 vertices = qh_facet3vertex (facet);
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157 FOREACHvertex_ (vertices)
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158 idx(i, j++) = 1 + qh_pointid(vertex->point);
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159 qh_settempfree (&vertices);
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160 }
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161 else
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162 {
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163 if (facet->toporient ^ qh_ORIENTclock)
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164 {
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165 FOREACHvertex_ (facet->vertices)
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166 idx(i, j++) = 1 + qh_pointid(vertex->point);
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167 }
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168 else
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169 {
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170 FOREACHvertexreverse12_ (facet->vertices)
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171 idx(i, j++) = 1 + qh_pointid(vertex->point);
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172 }
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173 }
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174 if (j < dim)
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175 // likewise but less fatal
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176 warning ("facet %d only has %d vertices", i, j);
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177 i++;
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178 }
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179
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180 if (nargout == 2)
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181 // calculate volume of convex hull
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182 // taken from qhull src/geom2.c
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183 {
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184 realT area;
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185 realT dist;
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186
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187 FORALLfacets
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188 {
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189 if (! facet->normal)
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190 continue;
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191
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192 if (facet->upperdelaunay && qh ATinfinity)
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193 continue;
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194
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195 facet->f.area = area = qh_facetarea (facet);
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196 facet->isarea = True;
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197
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198 if (qh DELAUNAY)
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199 {
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200 if (facet->upperdelaunay == qh UPPERdelaunay)
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201 qh totarea += area;
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202 }
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203 else
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204 {
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205 qh totarea += area;
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206 qh_distplane (qh interior_point, facet, &dist);
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207 qh totvol += -dist * area/ qh hull_dim;
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208 }
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209 }
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210
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211 retval(1) = octave_value (qh totvol);
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212 }
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213
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214 retval(0) = octave_value (idx);
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215 }
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216
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217 // free long memory
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218 qh_freeqhull (! qh_ALL);
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219
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220 // free short memory and memory allocator
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221 int curlong, totlong;
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222 qh_memfreeshort (&curlong, &totlong);
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223
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224 if (curlong || totlong)
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225 warning ("convhulln: did not free %d bytes of long memory (%d pieces)",
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226 totlong, curlong);
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227 #else
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228 error ("convhulln: not available in this version of Octave");
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229 #endif
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230
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231 return retval;
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232 }
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233
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234 /*
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235 %!test
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236 %! 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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237 %! [h, v] = convhulln(cube,'Pp');
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238 %! assert (v, 1.0, 1e6*eps);
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239 %!test
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240 %! tetrahedron = [1 1 1;-1 -1 1;-1 1 -1;1 -1 -1];
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241 %! [h, v] = convhulln(tetrahedron,'Pp');
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242 %! assert (v, 8/3, 1e6*eps);
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243 */