X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Finifcns_consist.cpp;h=c30ddefec5316266970297022066c4816b52f1cc;hp=25e3419732bc00124f32db6667443d7448616faf;hb=7a5f6e34480a04d888d2a7057a7dceac3e3a9bf7;hpb=c76a85d9ad2a9beeac6e26cb5c24a1bdbca911ed

diff --git a/check/inifcns_consist.cpp b/check/inifcns_consist.cpp
index 25e34197..c30ddefe 100644
--- a/check/inifcns_consist.cpp
+++ b/check/inifcns_consist.cpp
@@ -4,7 +4,7 @@
  *  functions. */
 
 /*
- *  GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2000 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
@@ -21,13 +21,13 @@
  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  */
 
-#include <ginac/ginac.h>
+#include "ginac.h"
 
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
 using namespace GiNaC;
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
 
-/* Simple tests on the sine trigonometric function. */
+/* Some tests on the sine trigonometric function. */
 static unsigned inifcns_consist_sin(void)
 {
     unsigned result = 0;
@@ -36,11 +36,12 @@ static unsigned inifcns_consist_sin(void)
     // sin(n*Pi) == 0?
     errorflag = false;
     for (int n=-10; n<=10; ++n) {
-        if ( sin(n*Pi).eval() != numeric(0) ||
+        if (sin(n*Pi).eval() != numeric(0) ||
             !sin(n*Pi).eval().info(info_flags::integer))
             errorflag = true;
     }
     if (errorflag) {
+        // we don't count each of those errors
         clog << "sin(n*Pi) with integer n does not always return exact 0"
              << endl;
         ++result;
@@ -49,7 +50,7 @@ static unsigned inifcns_consist_sin(void)
     // sin((n+1/2)*Pi) == {+|-}1?
     errorflag = false;
     for (int n=-10; n<=10; ++n) {
-        if (! sin((n+numeric(1,2))*Pi).eval().info(info_flags::integer) ||
+        if (!sin((n+numeric(1,2))*Pi).eval().info(info_flags::integer) ||
             !(sin((n+numeric(1,2))*Pi).eval() == numeric(1) ||
               sin((n+numeric(1,2))*Pi).eval() == numeric(-1)))
             errorflag = true;
@@ -60,6 +61,25 @@ static unsigned inifcns_consist_sin(void)
         ++result;
     }
     
+    // compare sin((q*Pi).evalf()) with sin(q*Pi).eval().evalf() at various
+    // points.  E.g. if sin(Pi/10) returns something symbolic this should be
+    // equal to sqrt(5)/4-1/4.  This routine will spot programming mistakes
+    // of this kind:
+    errorflag = false;
+    ex argument;
+    numeric epsilon(double(1e-8));
+    for (int n=-240; n<=240; ++n) {
+        argument = n*Pi/60;
+        if (abs(sin(evalf(argument))-evalf(sin(argument)))>epsilon) {
+            clog << "sin(" << argument << ") returns "
+                 << sin(argument) << endl;
+            errorflag = true;
+        }
+    }
+    if (errorflag) {
+        ++result;
+    }
+    
     return result;
 }
 
@@ -72,7 +92,7 @@ static unsigned inifcns_consist_cos(void)
     // cos((n+1/2)*Pi) == 0?
     errorflag = false;
     for (int n=-10; n<=10; ++n) {
-        if ( cos((n+numeric(1,2))*Pi).eval() != numeric(0) ||
+        if (cos((n+numeric(1,2))*Pi).eval() != numeric(0) ||
             !cos((n+numeric(1,2))*Pi).eval().info(info_flags::integer))
             errorflag = true;
     }
@@ -85,7 +105,7 @@ static unsigned inifcns_consist_cos(void)
     // cos(n*Pi) == 0?
     errorflag = false;
     for (int n=-10; n<=10; ++n) {
-        if (! cos(n*Pi).eval().info(info_flags::integer) ||
+        if (!cos(n*Pi).eval().info(info_flags::integer) ||
             !(cos(n*Pi).eval() == numeric(1) ||
               cos(n*Pi).eval() == numeric(-1)))
             errorflag = true;
@@ -96,6 +116,55 @@ static unsigned inifcns_consist_cos(void)
         ++result;
     }
     
+    // compare cos((q*Pi).evalf()) with cos(q*Pi).eval().evalf() at various
+    // points.  E.g. if cos(Pi/12) returns something symbolic this should be
+    // equal to 1/4*(1+1/3*sqrt(3))*sqrt(6).  This routine will spot
+    // programming mistakes of this kind:
+    errorflag = false;
+    ex argument;
+    numeric epsilon(double(1e-8));
+    for (int n=-240; n<=240; ++n) {
+        argument = n*Pi/60;
+        if (abs(cos(evalf(argument))-evalf(cos(argument)))>epsilon) {
+            clog << "cos(" << argument << ") returns "
+                 << cos(argument) << endl;
+            errorflag = true;
+        }
+    }
+    if (errorflag) {
+        ++result;
+    }
+    
+    return result;
+}
+
+/* Simple tests on the tangent trigonometric function. */
+static unsigned inifcns_consist_tan(void)
+{
+    unsigned result = 0;
+    bool errorflag;
+    
+    // compare tan((q*Pi).evalf()) with tan(q*Pi).eval().evalf() at various
+    // points.  E.g. if tan(Pi/12) returns something symbolic this should be
+    // equal to 2-sqrt(3).  This routine will spot programming mistakes of 
+    // this kind:
+    errorflag = false;
+    ex argument;
+    numeric epsilon(double(1e-8));
+    for (int n=-240; n<=240; ++n) {
+        if (!(n%30) && (n%60))  // skip poles
+            ++n;
+        argument = n*Pi/60;
+        if (abs(tan(evalf(argument))-evalf(tan(argument)))>epsilon) {
+            clog << "tan(" << argument << ") returns "
+                 << tan(argument) << endl;
+            errorflag = true;
+        }
+    }
+    if (errorflag) {
+        ++result;
+    }
+    
     return result;
 }
 
@@ -220,7 +289,7 @@ static unsigned inifcns_consist_psi(void)
 {
     unsigned result = 0;
     symbol x;
-    ex e;
+    ex e, f;
     
     // We check psi(1) and psi(1/2) implicitly by calculating the curious
     // little identity gamma(1)'/gamma(1) - gamma(1/2)'/gamma(1/2) == 2*log(2).
@@ -272,12 +341,13 @@ unsigned inifcns_consist(void)
     
     result += inifcns_consist_sin();
     result += inifcns_consist_cos();
+    result += inifcns_consist_tan();
     result += inifcns_consist_trans();
     result += inifcns_consist_gamma();
     result += inifcns_consist_psi();
     result += inifcns_consist_zeta();
 
-    if ( !result ) {
+    if (!result) {
         cout << " passed ";
         clog << "(no output)" << endl;
     } else {