X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_inifcns.cpp;h=30d5b2128bac37df222fa1c8716561818d4dea0c;hp=baeacfd46e9d6d262fa7c20de1af7186b70f7c53;hb=798d53ebb4da4e8e3865ed7bd7f31412fe2be3a7;hpb=af922d5eb36ed70e4a9e3ffaf4c24492cf89a1a6

diff --git a/check/exam_inifcns.cpp b/check/exam_inifcns.cpp
index baeacfd4..30d5b212 100644
--- a/check/exam_inifcns.cpp
+++ b/check/exam_inifcns.cpp
@@ -4,7 +4,7 @@
  *  functions. */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2011 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
@@ -18,14 +18,21 @@
  *
  *  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>
+using namespace std;
 
 /* Assorted tests on other transcendental functions. */
-static unsigned inifcns_consist_trans(void)
+static unsigned inifcns_consist_trans()
 {
+	using GiNaC::asin; using GiNaC::acos;
+	using GiNaC::asinh; using GiNaC::acosh; using GiNaC::atanh;
+
 	unsigned result = 0;
 	symbol x("x");
 	ex chk;
@@ -33,7 +40,7 @@ static unsigned inifcns_consist_trans(void)
 	chk = asin(1)-acos(0);
 	if (!chk.is_zero()) {
 		clog << "asin(1)-acos(0) erroneously returned " << chk
-			 << " instead of 0" << endl;
+		     << " instead of 0" << endl;
 		++result;
 	}
 	
@@ -42,7 +49,7 @@ static unsigned inifcns_consist_trans(void)
 		- (1+pow(x,2))*pow(sin(atan(x)),2);
 	if (chk != 1-pow(x,2)) {
 		clog << "sin(acos(x))^2 + sin(asin(x))^2 - (1+x^2)*sin(atan(x))^2 "
-			 << "erroneously returned " << chk << " instead of 1-x^2" << endl;
+		     << "erroneously returned " << chk << " instead of 1-x^2" << endl;
 		++result;
 	}
 	
@@ -51,7 +58,7 @@ static unsigned inifcns_consist_trans(void)
 		- (1+pow(x,2))*pow(cos(atan(x)),2);
 	if (!chk.is_zero()) {
 		clog << "cos(acos(x))^2 + cos(asin(x))^2 - (1+x^2)*cos(atan(x))^2 "
-			 << "erroneously returned " << chk << " instead of 0" << endl;
+		     << "erroneously returned " << chk << " instead of 0" << endl;
 		++result;
 	}
 	
@@ -59,7 +66,7 @@ static unsigned inifcns_consist_trans(void)
 	chk = tan(acos(x))*tan(asin(x)) - tan(atan(x));
 	if (chk != 1-x) {
 		clog << "tan(acos(x))*tan(asin(x)) - tan(atan(x)) "
-			 << "erroneously returned " << chk << " instead of -x+1" << endl;
+		     << "erroneously returned " << chk << " instead of -x+1" << endl;
 		++result;
 	}
 	
@@ -68,7 +75,7 @@ static unsigned inifcns_consist_trans(void)
 		- pow(sinh(asinh(x)),2);
 	if (!chk.is_zero()) {
 		clog << "expand(-(sinh(acosh(x)))^2)*(sinh(atanh(x))^2) - sinh(asinh(x))^2 "
-			 << "erroneously returned " << chk << " instead of 0" << endl;
+		     << "erroneously returned " << chk << " instead of 0" << endl;
 		++result;
 	}
 	
@@ -77,7 +84,7 @@ static unsigned inifcns_consist_trans(void)
 		* pow(cosh(atanh(x)),2);
 	if (chk != 1) {
 		clog << "(cosh(asinh(x))^2 - 2*cosh(acosh(x))^2) * cosh(atanh(x))^2 "
-			 << "erroneously returned " << chk << " instead of 1" << endl;
+		     << "erroneously returned " << chk << " instead of 1" << endl;
 		++result;
 	}
 	
@@ -86,42 +93,64 @@ static unsigned inifcns_consist_trans(void)
 		* pow(tanh(atanh(x)),2);
 	if (chk != 2) {
 		clog << "expand(tanh(acosh(x))^2 - tanh(asinh(x))^(-2)) * tanh(atanh(x))^2 "
-			 << "erroneously returned " << chk << " instead of 2" << endl;
+		     << "erroneously returned " << chk << " instead of 2" << endl;
 		++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()
 {
+	using GiNaC::tgamma;
 	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)) {
 		clog << "tgamma(1)+...+tgamma(7) erroneously returned "
-			 << e << " instead of 874" << endl;
+		     << e << " instead of 874" << endl;
 		++result;
 	}
 	
-	e = tgamma(ex(1));
+	e = tgamma(1);
 	for (int i=2; i<8; ++i)
 		e *= tgamma(ex(i));	
 	if (e != numeric(24883200)) {
 		clog << "tgamma(1)*...*tgamma(7) erroneously returned "
-			 << e << " instead of 24883200" << endl;
+		     << e << " instead of 24883200" << endl;
 		++result;
 	}
 	
 	e = tgamma(ex(numeric(5, 2)))*tgamma(ex(numeric(9, 2)))*64;
 	if (e != 315*Pi) {
 		clog << "64*tgamma(5/2)*tgamma(9/2) erroneously returned "
-			 << e << " instead of 315*Pi" << endl;
+		     << e << " instead of 315*Pi" << endl;
 		++result;
 	}
 	
@@ -131,7 +160,7 @@ static unsigned inifcns_consist_gamma(void)
 	e = (e*tgamma(ex(numeric(15, 2)))*numeric(512));
 	if (e != numeric(633935)*Pi) {
 		clog << "512*(tgamma(-13/2)+...+tgamma(5/2))*tgamma(15/2) erroneously returned "
-			 << e << " instead of 633935*Pi" << endl;
+		     << e << " instead of 633935*Pi" << endl;
 		++result;
 	}
 	
@@ -140,8 +169,11 @@ static unsigned inifcns_consist_gamma(void)
 
 /* 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;
+	using GiNaC::tgamma;
+
 	unsigned result = 0;
 	symbol x;
 	ex e, f;
@@ -152,7 +184,7 @@ static unsigned inifcns_consist_psi(void)
 	e -= (tgamma(x).diff(x)/tgamma(x)).subs(x==numeric(1,2));
 	if (e!=2*log(2)) {
 		clog << "tgamma(1)'/tgamma(1) - tgamma(1/2)'/tgamma(1/2) erroneously returned "
-			 << e << " instead of 2*log(2)" << endl;
+		     << e << " instead of 2*log(2)" << endl;
 		++result;
 	}
 	
@@ -162,7 +194,7 @@ static unsigned inifcns_consist_psi(void)
 /* 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;
@@ -171,7 +203,7 @@ static unsigned inifcns_consist_zeta(void)
 		e += zeta(i)/pow(Pi,i);
 	if (e!=numeric(-204992279,638512875)) {
 		clog << "zeta(0) + zeta(2) + ... + zeta(12) erroneously returned "
-			 << e << " instead of -204992279/638512875" << endl;
+		     << e << " instead of -204992279/638512875" << endl;
 		++result;
 	}
 	
@@ -180,31 +212,85 @@ static unsigned inifcns_consist_zeta(void)
 		e += zeta(i);
 	if (e!=numeric(487871,1633632)) {
 		clog << "zeta(-1) + zeta(-2) + ... + zeta(-15) erroneously returned "
-			 << e << " instead of 487871/1633632" << endl;
+		     << e << " instead of 487871/1633632" << endl;
+		++result;
+	}
+	
+	return result;
+}
+
+static unsigned inifcns_consist_abs()
+{
+	unsigned result = 0;
+	realsymbol a("a"), b("b"), x("x"), y("y");
+	possymbol p("p");
+	symbol z("z");
+
+	if (!abs(exp(x+I*y)).eval().is_equal(exp(x)))
+		++result;
+
+	if (!abs(pow(p,a+I*b)).eval().is_equal(pow(p,a)))
+		++result;
+
+	// also checks that abs(p)=p
+	if (!abs(pow(p,a+I*b)).eval().is_equal(pow(p,a)))
+		++result;
+
+	if (!abs(pow(x+I*y,a)).eval().is_equal(pow(abs(x+I*y),a)))
+		++result;
+
+	// it is not necessary a simplification if the following is really evaluated
+	if (!abs(pow(x+I*y,a+I*b)).eval().is_equal(abs(pow(x+I*y,a+I*b))))
+		++result;
+
+	if (!abs(z.conjugate()).eval().is_equal(abs(z)))
+		++result;
+
+	if (!abs(step(z)).eval().is_equal(step(z)))
+		++result;
+
+	if (!abs(p).info(info_flags::positive) || !abs(a).info(info_flags::real))
+		++result;
+
+	if (abs(a).info(info_flags::positive) || !abs(a).info(info_flags::real))
+		++result;
+
+	if (abs(z).info(info_flags::positive) || !abs(z).info(info_flags::real))
+		++result;
+
+	return result;
+}
+
+static unsigned inifcns_consist_various()
+{
+	unsigned result = 0;
+	symbol n;
+	
+	if ( binomial(n, 0) != 1 ) {
+		clog << "ERROR: binomial(n,0) != 1" << endl;		
 		++result;
 	}
 	
 	return result;
 }
 
-unsigned exam_inifcns(void)
+unsigned exam_inifcns()
 {
 	unsigned result = 0;
 	
 	cout << "examining consistency of symbolic functions" << flush;
-	clog << "----------consistency of symbolic functions:" << endl;
 	
 	result += inifcns_consist_trans();  cout << '.' << flush;
 	result += inifcns_consist_gamma();  cout << '.' << flush;
 	result += inifcns_consist_psi();  cout << '.' << flush;
 	result += inifcns_consist_zeta();  cout << '.' << flush;
-	
-	if (!result) {
-		cout << " passed " << endl;
-		clog << "(no output)" << endl;
-	} else {
-		cout << " failed " << endl;
-	}
+	result += inifcns_consist_abs();  cout << '.' << flush;
+	result += inifcns_consist_various();  cout << '.' << flush;
 	
 	return result;
 }
+
+int main(int argc, char** argv)
+{
+	return exam_inifcns();
+}