* functions. */
/*
- * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2015 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
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include "exams.h"
+#include "ginac.h"
+using namespace GiNaC;
+#include <iostream>
#include <fstream>
+using namespace std;
////////////////////////////////////////////////////////////////////////////////
int digitsbuf = Digits;
// precision of data
Digits = 22;
- ex prec = 5 * pow(10, -(int)Digits);
+ ex prec = 5 * pow(10, -(ex)Digits);
unsigned result = 0;
static unsigned inifcns_test_HLi()
{
+ using GiNaC::log;
int digitsbuf = Digits;
Digits = 17;
- ex prec = 5 * pow(10, -(int)Digits);
+ ex prec = 5 * pow(10, -(ex)Digits);
numeric almostone("0.999999999999999999");
unsigned result = 0;
for (lst::const_iterator it = res.begin(); it != res.end(); it++) {
Digits = 17;
- ex prec = 5 * pow(10, -(int)Digits);
+ ex prec = 5 * pow(10, -(ex)Digits);
ex diff = abs((*it).evalf());
if (diff > prec) {
clog << *it << " seems to be wrong: " << diff << endl;
}
cout << "." << flush;
Digits = 40;
- prec = 5 * pow(10, -(int)Digits);
+ prec = 5 * pow(10, -(ex)Digits);
diff = abs((*it).evalf());
if (diff > prec) {
clog << *it << " seems to be wrong: " << diff << endl;
{
int digitsbuf = Digits;
Digits = 17;
- ex prec = 5 * pow(10, -(int)Digits);
+ ex prec = 5 * pow(10, -(ex)Digits);
numeric almostone("0.99999999999999999999");
unsigned result = 0;
}
+////////////////////////////////////////////////////////////////////////////////
+////////////////////////////////////////////////////////////////////////////////
+// legacy exam - checking for historical bugs
+////////////////////////////////////////////////////////////////////////////////
+////////////////////////////////////////////////////////////////////////////////
+
+
+static unsigned inifcns_test_legacy()
+{
+ Digits = 17;
+ ex prec = 5 * pow(10, -(ex)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, -(ex)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;
+}
+
+static unsigned check_G_y_one_bug()
+{
+ exvector exprs;
+ exprs.push_back(G(lst(-1,-1, 1,-1, 0), 1));
+ exprs.push_back(G(lst(-1, 0, 1,-1, 0), 1));
+ exprs.push_back(G(lst(-1, 1,-1,-1, 0), 1));
+ exprs.push_back(G(lst(-1, 1,-1, 0, 0), 1));
+ exprs.push_back(G(lst(-1, 1,-1, 1, 0), 1));
+ exprs.push_back(G(lst(-1, 1, 0,-1, 0), 1));
+ exprs.push_back(G(lst(-1, 1, 1,-1, 0), 1));
+ exprs.push_back(G(lst( 0,-1, 1,-1, 0), 1));
+ exprs.push_back(G(lst( 0, 1, 1,-1, 0), 1));
+ unsigned err = 0;
+ for (exvector::const_iterator ep = exprs.begin(); ep != exprs.end(); ++ep) {
+ try {
+ ex val = ep->evalf();
+ if (!is_a<numeric>(val)) {
+ clog << "evalf(" << *ep << ") is not a number: " << val << endl;
+ ++err;
+ }
+ } catch (std::exception& oops) {
+ clog << "evalf(" << *ep << "): got an exception" << oops.what() << endl;
+ ++err;
+ }
+ }
+ return err;
+}
+
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();
+ result += check_G_y_one_bug();
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_inifcns_nstdsums();
+}