check/exam_inifcns_nstdsums.cpp

   1 /** @file exam_inifcns_nstdsums.cpp
   2  *
   3  *  This test routine applies assorted tests on initially known higher level
   4  *  functions. */
   5
   6 /*
   7  *  GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
   8  *
   9  *  This program is free software; you can redistribute it and/or modify
  10  *  it under the terms of the GNU General Public License as published by
  11  *  the Free Software Foundation; either version 2 of the License, or
  12  *  (at your option) any later version.
  13  *
  14  *  This program is distributed in the hope that it will be useful,
  15  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
  16  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  17  *  GNU General Public License for more details.
  18  *
  19  *  You should have received a copy of the GNU General Public License
  20  *  along with this program; if not, write to the Free Software
  21  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  22  */
  23
  24 #include "exams.h"
  25
  26 #include <fstream>
  27
  28
  29 struct point
  30 {
  31         ex x;
  32         ex res;
  33 };
  34
  35
  36 const int NDIM = 5;
  37 const int PDIM = 5;
  38
  39 typedef vector<point> vp;
  40
  41 vp pp[NDIM][PDIM];
  42
  43
  44 static unsigned inifcns_consist_S(void)
  45 {
  46         unsigned result = 0;
  47
  48         ifstream in("exam_inifcns_nstdsums_data");
  49
  50         if (!in) {
  51                 clog << "exam_inifcns_nstdsums_data not readable!" << endl;
  52                 return 666;
  53         }
  54
  55         string str;
  56         point ppbuf;
  57
  58         while (1) {
  59                 getline(in,str);
  60                 if (!in)
  61                         break;
  62                 ex en(str,symbol());
  63                 getline(in,str);
  64                 if (!in)
  65                         break;
  66                 ex ep(str,symbol());
  67                 getline(in,str);
  68                 if (!in)
  69                         break;
  70                 ex x(str,symbol());
  71                 getline(in,str);
  72                 if (!in)
  73                         break;
  74                 ex res(str,symbol());
  75
  76                 numeric n = ex_to<numeric>(en);
  77                 numeric p = ex_to<numeric>(ep);
  78
  79                 ppbuf.x = x;
  80                 ppbuf.res = res;
  81
  82                 pp[n.to_int()-1][p.to_int()-1].push_back(ppbuf);
  83         }
  84
  85         in.close();
  86
  87         vp::iterator it;
  88         int error = 0;
  89
  90         cout << endl << "Calculating ";
  91         for (int sum=2; sum<=3; sum++) {
  92                 for (int nn=1; nn<sum; nn++) {
  93                         vp& da = pp[nn-1][sum-nn-1];
  94                         for (it = da.begin(); it!=da.end(); it++) {
  95                                 cout << "S(" << nn << "," << sum-nn << "," << it->x << ") " << flush;
  96                                 ex res = S(nn,sum-nn,it->x).evalf();
  97                                 if (!is_a<numeric>(res)) {
  98                                         if ((it->x != -1) || ((sum-nn) == 1)) {
  99                                                 clog << "S(" << nn << "," << sum-nn << "," << it->x << ") didn't give numerical result!" << endl;
 100                                                 result++;
 101                                         }
 102                                 }
 103                                 else {
 104                                         ex reldiff = abs((it->res-res)/it->res);
 105                                         if ((!is_a<numeric>(res)) || (reldiff > numeric("1E-10"))) {
 106                                                 clog << "S(" << nn << "," << sum-nn << "," << it->x << ") seems to be wrong:" << endl;
 107                                                 clog << "GiNaC           : " << res << endl;
 108                                                 clog << "Reference       : " << it->res << endl;
 109                                                 clog << "Abs. Difference : " << it->res-res << endl;
 110                                                 clog << "Rel. Difference : " << reldiff << endl;
 111                                                 result++;
 112                                         }
 113                                 }
 114                         }
 115                 }
 116
 117         }
 118         cout << endl;
 119
 120         return result;
 121 }
 122
 123
 124 unsigned exam_inifcns_nstdsums(void)
 125 {
 126         unsigned result = 0;
 127
 128         cout << "examining consistency of nestedsums functions" << flush;
 129         clog << "----------consistency of nestedsums functions:" << endl;
 130
 131         result += inifcns_consist_S();  cout << '.' << flush;
 132
 133         if (!result) {
 134                 cout << " passed " << endl;
 135                 clog << "(no output)" << endl;
 136         } else {
 137                 cout << " failed " << endl;
 138         }
 139
 140         return result;
 141 }
 142