* functions. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2004 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
#include "exams.h"
/* Assorted tests on other transcendental functions. */
-static unsigned inifcns_consist_trans(void)
+static unsigned inifcns_consist_trans()
{
+ using GiNaC::asin; using GiNaC::acos;
+
unsigned result = 0;
symbol x("x");
ex chk;
++result;
}
+ // check consistency of log and eta phases:
+ for (int r1=-1; r1<=1; ++r1) {
+ for (int i1=-1; i1<=1; ++i1) {
+ ex x1 = r1+I*i1;
+ if (x1.is_zero())
+ continue;
+ for (int r2=-1; r2<=1; ++r2) {
+ for (int i2=-1; i2<=1; ++i2) {
+ ex x2 = r2+I*i2;
+ if (x2.is_zero())
+ continue;
+ if (abs(evalf(eta(x1,x2)-log(x1*x2)+log(x1)+log(x2)))>.1e-12) {
+ clog << "either eta(x,y), log(x), log(y) or log(x*y) is wrong"
+ << " at x==" << x1 << ", y==" << x2 << endl;
+ ++result;
+ }
+ }
+ }
+ }
+ }
+
return result;
}
/* Simple tests on the tgamma function. We stuff in arguments where the results
* exists in closed form and check if it's ok. */
-static unsigned inifcns_consist_gamma(void)
+static unsigned inifcns_consist_gamma()
{
unsigned result = 0;
ex e;
- e = tgamma(ex(1));
+ e = tgamma(1);
for (int i=2; i<8; ++i)
e += tgamma(ex(i));
if (e != numeric(874)) {
++result;
}
- e = tgamma(ex(1));
+ e = tgamma(1);
for (int i=2; i<8; ++i)
e *= tgamma(ex(i));
if (e != numeric(24883200)) {
/* Simple tests on the Psi-function (aka polygamma-function). We stuff in
arguments where the result exists in closed form and check if it's ok. */
-static unsigned inifcns_consist_psi(void)
+static unsigned inifcns_consist_psi()
{
+ using GiNaC::log;
+
unsigned result = 0;
symbol x;
ex e, f;
/* Simple tests on the Riemann Zeta function. We stuff in arguments where the
* result exists in closed form and check if it's ok. Of course, this checks
* the Bernoulli numbers as a side effect. */
-static unsigned inifcns_consist_zeta(void)
+static unsigned inifcns_consist_zeta()
{
unsigned result = 0;
ex e;
return result;
}
-unsigned exam_inifcns(void)
+unsigned exam_inifcns()
{
unsigned result = 0;