/* GTS - Library for the manipulation of triangulated surfaces
* Copyright (C) 1999 Stéphane Popinet
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Library General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Library General Public License for more details.
*
* You should have received a copy of the GNU Library General Public
* License along with this library; if not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
/* This program creates a header file defining the various constants needed by
* predicates.c. These constant are machine dependent.
* adapted from predicates.c by Jonathan Richard Shewchuk
*/
#include <stdio.h>
/* FPU control. We MUST have only double precision (not extended precision) */
#include "rounding.h"
int main (int argc, char * argv[])
{
double half = 0.5;
double check = 1.0, lastcheck;
int every_other = 1;
/* epsilon = 2^(-p). Used to estimate roundoff errors. */
double epsilon = 1.0;
/* splitter = 2^ceiling(p / 2) + 1. Used to split floats in half. */
double splitter = 1.0;
/* A set of coefficients used to calculate maximum roundoff errors. */
double resulterrbound;
double ccwerrboundA, ccwerrboundB, ccwerrboundC;
double o3derrboundA, o3derrboundB, o3derrboundC;
double iccerrboundA, iccerrboundB, iccerrboundC;
double isperrboundA, isperrboundB, isperrboundC;
FPU_ROUND_DOUBLE;
epsilon = 1.0;
splitter = 1.0;
/* Repeatedly divide `epsilon' by two until it is too small to add to */
/* one without causing roundoff. (Also check if the sum is equal to */
/* the previous sum, for machines that round up instead of using exact */
/* rounding. Not that this library will work on such machines anyway). */
do {
lastcheck = check;
epsilon *= half;
if (every_other) {
splitter *= 2.0;
}
every_other = !every_other;
check = 1.0 + epsilon;
} while ((check != 1.0) && (check != lastcheck));
splitter += 1.0;
/* Error bounds for orientation and incircle tests. */
resulterrbound = (3.0 + 8.0 * epsilon) * epsilon;
ccwerrboundA = (3.0 + 16.0 * epsilon) * epsilon;
ccwerrboundB = (2.0 + 12.0 * epsilon) * epsilon;
ccwerrboundC = (9.0 + 64.0 * epsilon) * epsilon * epsilon;
o3derrboundA = (7.0 + 56.0 * epsilon) * epsilon;
o3derrboundB = (3.0 + 28.0 * epsilon) * epsilon;
o3derrboundC = (26.0 + 288.0 * epsilon) * epsilon * epsilon;
iccerrboundA = (10.0 + 96.0 * epsilon) * epsilon;
iccerrboundB = (4.0 + 48.0 * epsilon) * epsilon;
iccerrboundC = (44.0 + 576.0 * epsilon) * epsilon * epsilon;
isperrboundA = (16.0 + 224.0 * epsilon) * epsilon;
isperrboundB = (5.0 + 72.0 * epsilon) * epsilon;
isperrboundC = (71.0 + 1408.0 * epsilon) * epsilon * epsilon;
puts ("/* This file was generated automatically by predicates_init\n"
" *\n"
" * This file is free software; you can redistribute it and/or\n"
" * modify it under the terms of the GNU Library General Public\n"
" * License as published by the Free Software Foundation; either\n"
" * version 2 of the License, or (at your option) any later version.\n"
" *\n"
" * This file is distributed in the hope that it will be useful,\n"
" * but WITHOUT ANY WARRANTY; without even the implied warranty of\n"
" * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.\n"
" */\n");
printf ("static double splitter = %f;\n", splitter);
printf ("static double resulterrbound = %.16g;\n", resulterrbound);
printf ("static double ccwerrboundA = %.16g;\n", ccwerrboundA);
printf ("static double ccwerrboundB = %.16g;\n", ccwerrboundB);
printf ("static double ccwerrboundC = %.16g;\n", ccwerrboundC);
printf ("static double o3derrboundA = %.16g;\n", o3derrboundA);
printf ("static double o3derrboundB = %.16g;\n", o3derrboundB);
printf ("static double o3derrboundC = %.16g;\n", o3derrboundC);
printf ("static double iccerrboundA = %.16g;\n", iccerrboundA);
printf ("static double iccerrboundB = %.16g;\n", iccerrboundB);
printf ("static double iccerrboundC = %.16g;\n", iccerrboundC);
printf ("static double isperrboundA = %.16g;\n", isperrboundA);
printf ("static double isperrboundB = %.16g;\n", isperrboundB);
printf ("static double isperrboundC = %.16g;\n", isperrboundC);
FPU_RESTORE;
return 0;
}
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