* functions. */
/*
- * GiNaC Copyright (C) 1999-2007 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include "exams.h"
-
+#include <iostream>
#include <fstream>
+#include "ginac.h"
+using namespace std;
+using namespace GiNaC;
+
////////////////////////////////////////////////////////////////////////////////
}
+////////////////////////////////////////////////////////////////////////////////
+////////////////////////////////////////////////////////////////////////////////
+// legacy exam - checking for historical bugs
+////////////////////////////////////////////////////////////////////////////////
+////////////////////////////////////////////////////////////////////////////////
+
+
+static unsigned inifcns_test_legacy()
+{
+ Digits = 17;
+ ex prec = 5 * pow(10, -(int)Digits);
+
+ unsigned result = 0;
+
+ ex r1 = zeta(lst(1,1,1,1,1,1),lst(-1,-1,-1,1,1,1));
+ if ((r1.evalf() - numeric("-0.0012588769028204890704")) > prec) {
+ clog << "zeta({1,1,1,1,1,1},{-1,-1,-1,1,1,1}) seems to be wrong." << endl;
+ result++;
+ }
+
+ ex x1 = exp(2*Pi*I/13).evalf();
+ ex x2 = exp(24*Pi*I/13).evalf();
+ ex r2 = Li(lst(2),lst(x1)).hold().evalf();
+ ex r3 = Li(lst(2),lst(x2)).hold().evalf();
+ if ( abs(r2-conjugate(r3)) > prec ) {
+ clog << "Legacy test 2 seems to be wrong." << endl;
+ result++;
+ }
+
+ ex x3 = exp(5*Pi*I/3).evalf();
+ ex r4 = Li(lst(3),lst(x3)).hold().evalf();
+ if ( abs(r4 - numeric("0.40068563438653142847-0.95698384815740185713*I")) > prec ) {
+ clog << "Legacy test 3 seems to be wrong." << endl;
+ result++;
+ }
+
+ Digits = 100;
+ prec = 5 * pow(10, -(int)Digits);
+ ex x0 = 1.;
+ x1 = exp(Pi*I/3).evalf();
+ x2 = exp(2*Pi*I/3).evalf();
+ x3 = -1.;
+ ex x4 = exp(4*Pi*I/3).evalf();
+ ex x5 = exp(5*Pi*I/3).evalf();
+
+ ex r5 = Li(lst(1,1,1,1),lst(x2,x4,x3,x0)).hold().evalf();
+ ex r6 = Li(lst(1,1,1,1),lst(x4,x2,x3,x0)).hold().evalf();
+ if ( abs(r5-conjugate(r6)) > prec ) {
+ clog << "Legacy test 4 seems to be wrong." << endl;
+ result++;
+ }
+
+ ex r7 = Li(lst(1,2,1),lst(x3,x2,x4)).hold().evalf()
+ +Li(lst(1,1,2),lst(x3,x2,x4)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x3,x0,x2,x4)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x3,x2,x0,x4)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x3,x2,x4,x0)).hold().evalf()
+ +Li(lst(1,2,1),lst(x2,x1,x0)).hold().evalf()
+ +Li(lst(1,1,2),lst(x2,x3,x4)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x2,x4,x3,x0)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x2,x3,x4,x0)).hold().evalf()
+ +Li(lst(1,1,1,1),lst(x2,x3,x0,x4)).hold().evalf()
+ +Li(lst(2,2),lst(x5,x4)).hold().evalf()
+ +Li(lst(2,1,1),lst(x5,x0,x4)).hold().evalf()
+ +Li(lst(2,1,1),lst(x5,x4,x0)).hold().evalf()
+ -Li(lst(1,1),lst(x3,x0)).hold().evalf()*Li(lst(1,1),lst(x2,x4)).hold().evalf();
+ if ( abs(r7) > prec ) {
+ clog << "Legacy test 5 seems to be wrong." << endl;
+ result++;
+ }
+
+ return result;
+}
+
+
unsigned exam_inifcns_nstdsums(void)
{
unsigned result = 0;
cout << "examining consistency of nestedsums functions" << flush;
- clog << "----------consistency of nestedsums functions:" << endl;
result += inifcns_test_zeta();
result += inifcns_test_S();
result += inifcns_test_HLi();
result += inifcns_test_LiG();
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
+ result += inifcns_test_legacy();
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_inifcns_nstdsums();
+}