synced to 1.1
[ginac.git] / check / check_numeric.cpp
index 811ba52593125bc5f839f7d50d4ce17e0402a1a9..e67d6933009972243cf017d4f072f14ed1eeeed7 100644 (file)
@@ -4,7 +4,7 @@
  *  tests on these numbers like is_integer() etc... */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2003 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 "checks.h"
 
-#ifndef NO_NAMESPACE_GINAC
-using namespace GiNaC;
-#endif // ndef NO_NAMESPACE_GINAC
-
 /* Simple and maybe somewhat pointless consistency tests of assorted tests and
  * conversions. */
-static unsigned check_numeric1(void)
+static unsigned check_numeric1()
 {
-    unsigned result = 0;
-    bool errorflag = false;
-    int re_q, im_q;
-    
-    // Check some numerator and denominator calculations:
-    for (int i=0; i<200; ++i) {
-        do { re_q = rand(); } while (re_q == 0);
-        do { im_q = rand(); } while (im_q == 0);
-        numeric r(rand()-RAND_MAX/2, re_q);
-        numeric i(rand()-RAND_MAX/2, im_q);
-        numeric z = r + I*i;
-        numeric p = numer(z);
-        numeric q = denom(z);
-        numeric res = p/q;
-        if (res != z) {
-            clog << z << " erroneously transformed into " 
-                 << p << "/" << q << " by numer() and denom()" << endl;
-            errorflag = true;
-        }
-    }
-    if (errorflag)
-        ++result;
-    
-    return result;
+       unsigned result = 0;
+       bool errorflag = false;
+       int re_q, im_q;
+       
+       // Check some numerator and denominator calculations:
+       for (int rep=0; rep<200; ++rep) {
+               do { re_q = rand(); } while (re_q == 0);
+               do { im_q = rand(); } while (im_q == 0);
+               numeric r(rand()-RAND_MAX/2, re_q);
+               numeric i(rand()-RAND_MAX/2, im_q);
+               numeric z = r + I*i;
+               numeric p = numer(z);
+               numeric q = denom(z);
+               numeric res = p/q;
+               if (res != z) {
+                       clog << z << " erroneously transformed into " 
+                            << p << "/" << q << " by numer() and denom()" << endl;
+                       errorflag = true;
+               }
+       }
+       if (errorflag)
+               ++result;
+       
+       return result;
 }
 
-static unsigned check_numeric2(void)
+static unsigned check_numeric2()
 {
-    unsigned result = 0;
-    bool errorflag = false;
-    int i_num, i_den;
-    
-    // Check non-nested radicals (n/d)^(m/n) in ex wrapper class:
-    for (int i=0; i<200; ++i) {  // FIXME: run to ~200
-        for (int j=2; j<13; ++j) {
-            // construct an exponent 1/j...
-            numeric nm(1,j);
-            nm += numeric(int(20.0*rand()/(RAND_MAX+1.0))-10);
-            // ...a numerator...
-            do { i_num = rand(); } while (i_num == 0);
-            numeric num(i_num);
-            // ...and a denominator.
-            do { i_den = (rand())/100; } while (i_den == 0);
-            numeric den(i_den);
-            // construct the radicals:
-            ex radical = pow(ex(num)/ex(den),ex(nm));
-            numeric floating = pow(num/den,nm);
-            // test the result:
-            if (is_ex_of_type(radical,numeric)) {
-                clog << "(" << num << "/" << den << ")^(" << nm
-                     << ") should have been a product, instead it's "
-                     << radical << endl;
-                errorflag = true;
-            }
-            numeric ratio = ex_to_numeric(evalf(radical))/floating;
-            if (ratio>1.0001 && ratio<0.9999) {
-                clog << "(" << num << "/" << den << ")^(" << nm
-                     << ") erroneously evaluated to " << radical;
-                errorflag = true;
-            }
-        }
-    }
-    if (errorflag)
-        ++result;
-    
-    return result;
+       unsigned result = 0;
+       bool errorflag = false;
+       int i_num, i_den;
+       
+       // Check non-nested radicals (n/d)^(m/n) in ex wrapper class:
+       for (int i=0; i<200; ++i) {
+               for (int j=2; j<13; ++j) {
+                       // construct an exponent 1/j...
+                       numeric nm(1,j);
+                       nm += numeric(int(20.0*rand()/(RAND_MAX+1.0))-10);
+                       // ...a numerator...
+                       do {
+                               i_num = rand();
+                       } while (i_num<=0);
+                       numeric num(i_num);
+                       // ...and a denominator.
+                       do {
+                               i_den = (rand())/100;
+                       } while (i_den<=0);
+                       numeric den(i_den);
+                       // construct the radicals:
+                       ex radical = pow(ex(num)/ex(den),ex(nm));
+                       numeric floating = pow(num/den,nm);
+                       // test the result:
+                       if (is_a<numeric>(radical)) {
+                               // This is very improbable with decent random numbers but it
+                               // still can happen, so we better check if it is correct:
+                               if (pow(radical,inverse(nm))==num/den) {
+                                       // Aha! We drew some lucky numbers. Nothing to see here...
+                               } else {
+                                       clog << "(" << num << "/" << den << ")^(" << nm
+                                                << ") should have been a product, instead it's "
+                                                << radical << endl;
+                                       errorflag = true;
+                               }
+                       }
+                       numeric ratio = abs(ex_to<numeric>(evalf(radical))/floating);
+                       if (ratio>1.0001 && ratio<0.9999) {
+                               clog << "(" << num << "/" << den << ")^(" << nm
+                                    << ") erroneously evaluated to " << radical;
+                               errorflag = true;
+                       }
+               }
+       }
+       if (errorflag)
+               ++result;
+       
+       return result;
 }
 
-unsigned check_numeric(void)
+unsigned check_numeric()
 {
-    unsigned result = 0;
-    
-    cout << "checking consistency of numeric types" << flush;
-    clog << "---------consistency of numeric types:" << endl;
-    
-    result += check_numeric1();  cout << '.' << flush;
-    result += check_numeric2();  cout << '.' << flush;
-    
-    if (!result) {
-        cout << " passed " << endl;
-        clog << "(no output)" << endl;
-    } else {
-        cout << " failed " << endl;
-    }
-    
-    return result;
+       unsigned result = 0;
+       
+       cout << "checking consistency of numeric types" << flush;
+       clog << "---------consistency of numeric types:" << endl;
+       
+       result += check_numeric1();  cout << '.' << flush;
+       result += check_numeric2();  cout << '.' << flush;
+       
+       if (!result) {
+               cout << " passed " << endl;
+               clog << "(no output)" << endl;
+       } else {
+               cout << " failed " << endl;
+       }
+       
+       return result;
 }