updated the autogen.sh script
[ginac.git] / check / exam_numeric.cpp
index 04cf3547626d502b5b02958b5722ffb4cb129220..1be029857dfb889f1ab6bf7b146163f9eb07bb06 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) 1999-2002 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
@@ -23,6 +23,8 @@
 
 #include "exams.h"
 
+#include <sstream>
+
 /* Simple and maybe somewhat pointless consistency tests of assorted tests and
  * conversions. */
 static unsigned exam_numeric1(void)
@@ -38,18 +40,18 @@ static unsigned exam_numeric1(void)
        
        if (!test_int1.is_integer()) {
                clog << test_int1
-                        << " erroneously not recognized as integer" << endl;
+                    << " erroneously not recognized as integer" << endl;
                ++result;
        }
        if (!test_int1.is_rational()) {
                clog << test_int1
-                        << " erroneously not recognized as rational" << endl;
+                    << " erroneously not recognized as rational" << endl;
                ++result;
        }
        
        if (!test_rat1.is_rational()) {
                clog << test_rat1
-                        << " erroneously not recognized as rational" << endl;
+                    << " erroneously not recognized as rational" << endl;
                ++result;
        }
        if (test_rat1.is_integer()) {
@@ -60,28 +62,28 @@ static unsigned exam_numeric1(void)
        
        if (!test_crat.is_crational()) {
                clog << test_crat
-                        << " erroneously not recognized as complex rational" << endl;
+                    << " erroneously not recognized as complex rational" << endl;
                ++result;
        }
        
        int i = numeric(1984).to_int();
        if (i-1984) {
                clog << "conversion of " << i
-                        << " from numeric to int failed" << endl;
+                    << " from numeric to int failed" << endl;
                ++result;
        }
        
        e1 = test_int1;
        if (!e1.info(info_flags::posint)) {
                clog << "expression " << e1
-                        << " erroneously not recognized as positive integer" << endl;
+                    << " erroneously not recognized as positive integer" << endl;
                ++result;
        }
        
        e2 = test_int1 + a;
-       if (ex_to_numeric(e2).is_integer()) {
+       if (e2.info(info_flags::integer)) {
                clog << "expression " << e2
-                        << " erroneously recognized as integer" << endl;
+                    << " erroneously recognized as integer" << endl;
                ++result;
        }
        
@@ -90,7 +92,7 @@ static unsigned exam_numeric1(void)
        test_rat1 += test_rat1;
        if (!test_rat1.is_integer()) {
                clog << "3/2 + 3/2 erroneously not integer 3 but instead "
-                        << test_rat1 << endl;
+                    << test_rat1 << endl;
                ++result;
        }
        test_rat1 = numeric(3)/numeric(2);
@@ -98,7 +100,7 @@ static unsigned exam_numeric1(void)
        test_rat2 -= test_rat1;  // 1
        if (!test_rat2.is_integer()) {
                clog << "5/2 - 3/2 erroneously not integer 1 but instead "
-                        << test_rat2 << endl;
+                    << test_rat2 << endl;
                ++result;
        }
        
@@ -162,7 +164,7 @@ static unsigned exam_numeric3(void)
        a = 23; b = 4; calc_rem = irem(a, b);
        if (calc_rem != 3) {
                clog << "irem(" << a << "," << b << ") erroneously returned "
-                        << calc_rem << endl;
+                    << calc_rem << endl;
                ++result;
        }
        a = 23; b = -4; calc_rem = irem(a, b);
@@ -174,38 +176,38 @@ static unsigned exam_numeric3(void)
        a = -23; b = 4; calc_rem = irem(a, b);
        if (calc_rem != -3) {
                clog << "irem(" << a << "," << b << ") erroneously returned "
-                        << calc_rem << endl;
+                    << calc_rem << endl;
                ++result;
        }
        a = -23; b = -4; calc_rem = irem(a, b);
        if (calc_rem != -3) {
                clog << "irem(" << a << "," << b << ") erroneously returned "
-                        << calc_rem << endl;
+                    << calc_rem << endl;
                ++result;
        }
        // and now the overloaded irem(a,b,q):
        a = 23; b = 4; calc_rem = irem(a, b, calc_quo);
        if (calc_rem != 3 || calc_quo != 5) {
                clog << "irem(" << a << "," << b << ",q) erroneously returned "
-                        << calc_rem << " with q=" << calc_quo << endl;
+                    << calc_rem << " with q=" << calc_quo << endl;
                ++result;
        }
        a = 23; b = -4; calc_rem = irem(a, b, calc_quo);
        if (calc_rem != 3 || calc_quo != -5) {
                clog << "irem(" << a << "," << b << ",q) erroneously returned "
-                        << calc_rem << " with q=" << calc_quo << endl;
+                    << calc_rem << " with q=" << calc_quo << endl;
                ++result;
        }
        a = -23; b = 4; calc_rem = irem(a, b, calc_quo);
        if (calc_rem != -3 || calc_quo != -5) {
                clog << "irem(" << a << "," << b << ",q) erroneously returned "
-                        << calc_rem << " with q=" << calc_quo << endl;
+                    << calc_rem << " with q=" << calc_quo << endl;
                ++result;
        }
        a = -23; b = -4; calc_rem = irem(a, b, calc_quo);
        if (calc_rem != -3 || calc_quo != 5) {
                clog << "irem(" << a << "," << b << ",q) erroneously returned "
-                        << calc_rem << " with q=" << calc_quo << endl;
+                    << calc_rem << " with q=" << calc_quo << endl;
                ++result;
        }
        // check if iquo(a, b) and iquo(a, b, r) really behave like Maple's 
@@ -215,50 +217,50 @@ static unsigned exam_numeric3(void)
        a = 23; b = 4; calc_quo = iquo(a, b);
        if (calc_quo != 5) {
                clog << "iquo(" << a << "," << b << ") erroneously returned "
-                        << calc_quo << endl;
+                    << calc_quo << endl;
                ++result;
        }
        a = 23; b = -4; calc_quo = iquo(a, b);
        if (calc_quo != -5) {
                clog << "iquo(" << a << "," << b << ") erroneously returned "
-                        << calc_quo << endl;
+                    << calc_quo << endl;
                ++result;
        }
        a = -23; b = 4; calc_quo = iquo(a, b);
        if (calc_quo != -5) {
                clog << "iquo(" << a << "," << b << ") erroneously returned "
-                        << calc_quo << endl;
+                    << calc_quo << endl;
                ++result;
        }
        a = -23; b = -4; calc_quo = iquo(a, b);
        if (calc_quo != 5) {
                clog << "iquo(" << a << "," << b << ") erroneously returned "
-                        << calc_quo << endl;
+                    << calc_quo << endl;
                ++result;
        }
        // and now the overloaded iquo(a,b,r):
        a = 23; b = 4; calc_quo = iquo(a, b, calc_rem);
        if (calc_quo != 5 || calc_rem != 3) {
                clog << "iquo(" << a << "," << b << ",r) erroneously returned "
-                        << calc_quo << " with r=" << calc_rem << endl;
+                    << calc_quo << " with r=" << calc_rem << endl;
                ++result;
        }
        a = 23; b = -4; calc_quo = iquo(a, b, calc_rem);
        if (calc_quo != -5 || calc_rem != 3) {
                clog << "iquo(" << a << "," << b << ",r) erroneously returned "
-                        << calc_quo << " with r=" << calc_rem << endl;
+                    << calc_quo << " with r=" << calc_rem << endl;
                ++result;
        }
        a = -23; b = 4; calc_quo = iquo(a, b, calc_rem);
        if (calc_quo != -5 || calc_rem != -3) {
                clog << "iquo(" << a << "," << b << ",r) erroneously returned "
-                        << calc_quo << " with r=" << calc_rem << endl;
+                    << calc_quo << " with r=" << calc_rem << endl;
                ++result;
        }
        a = -23; b = -4; calc_quo = iquo(a, b, calc_rem);
        if (calc_quo != 5 || calc_rem != -3) {
                clog << "iquo(" << a << "," << b << ",r) erroneously returned "
-                        << calc_quo << " with r=" << calc_rem << endl;
+                    << calc_quo << " with r=" << calc_rem << endl;
                ++result;
        }
        
@@ -274,11 +276,9 @@ static unsigned exam_numeric4(void)
        
        // square roots of squares of integers:
        passed = true;
-       for (int i=0; i<42; ++i) {
-               if (!sqrt(numeric(i*i)).is_integer()) {
+       for (int i=0; i<42; ++i)
+               if (!sqrt(numeric(i*i)).is_integer())
                        passed = false;
-               }
-       }
        if (!passed) {
                clog << "One or more square roots of squares of integers did not return exact integers" << endl;
                ++result;
@@ -286,13 +286,10 @@ static unsigned exam_numeric4(void)
        
        // square roots of squares of rationals:
        passed = true;
-       for (int num=0; num<41; ++num) {
-               for (int den=1; den<42; ++den) {
-                       if (!sqrt(numeric(num*num)/numeric(den*den)).is_rational()) {
+       for (int num=0; num<41; ++num)
+               for (int den=1; den<42; ++den)
+                       if (!sqrt(numeric(num*num)/numeric(den*den)).is_rational())
                                passed = false;
-                       }
-               }
-       }
        if (!passed) {
                clog << "One or more square roots of squares of rationals did not return exact integers" << endl;
                ++result;
@@ -313,13 +310,69 @@ static unsigned exam_numeric5(void)
        ex e2 = expand(e1 - 10 + 5*pow(3,numeric(3,5)));
        if (!e2.is_zero()) {
                clog << "expand((1+3^(1/5)-3^(2/5))^3-10+5*3^(3/5)) returned "
-                        << e2 << " instead of 0." << endl;
+                    << e2 << " instead of 0." << endl;
                ++result;
        }
        
        return result;
 }
 
+/* This test checks whether the numeric output/parsing routines are
+   consistent. */
+static unsigned exam_numeric6(void)
+{
+       unsigned result = 0;
+
+       symbol sym("sym");
+       vector<ex> test_numbers;
+       test_numbers.push_back(numeric(0));                     // zero
+       test_numbers.push_back(numeric(1));                     // one
+       test_numbers.push_back(numeric(-1));            // minus one
+       test_numbers.push_back(numeric(42));            // positive integer
+       test_numbers.push_back(numeric(-42));           // negative integer
+       test_numbers.push_back(numeric(14,3));          // positive rational
+       test_numbers.push_back(numeric(-14,3));         // negative rational
+       test_numbers.push_back(numeric(3.141));         // positive decimal
+       test_numbers.push_back(numeric(-3.141));        // negative decimal
+       test_numbers.push_back(numeric(0.1974));        // positive decimal, leading zero
+       test_numbers.push_back(numeric(-0.1974));       // negative decimal, leading zero
+       test_numbers.push_back(sym);                            // symbol
+
+       for (vector<ex>::const_iterator br=test_numbers.begin(); br<test_numbers.end(); ++br) {
+               for (vector<ex>::const_iterator bi=test_numbers.begin(); bi<test_numbers.end(); ++bi) {
+
+                       for (vector<ex>::const_iterator er=test_numbers.begin(); er<test_numbers.end(); ++er) {
+                               for (vector<ex>::const_iterator ei=test_numbers.begin(); ei<test_numbers.end(); ++ei) {
+
+                                       // Construct expression, don't test invalid ones
+                                       ex base = (*br) + (*bi)*I, exponent = (*er) + (*ei)*I, x;
+                                       try {
+                                               x = pow(base, exponent);
+                                       } catch (...) {
+                                               continue;
+                                       }
+
+                                       // Print to string
+                                       std::ostringstream s;
+                                       s << x;
+
+                                       // Read back expression from string
+                                       string x_as_string = s.str();
+                                       ex x_again(x_as_string, lst(sym));
+
+                                       // They should be equal
+                                       if (!x_again.is_equal(x)) {
+                                               clog << x << " was read back as " << x_again << endl;
+                                               ++result;
+                                       }
+                               }
+                       }
+               }
+       }
+
+       return result;
+}
+
 unsigned exam_numeric(void)
 {
        unsigned result = 0;
@@ -332,6 +385,7 @@ unsigned exam_numeric(void)
        result += exam_numeric3();  cout << '.' << flush;
        result += exam_numeric4();  cout << '.' << flush;
        result += exam_numeric5();  cout << '.' << flush;
+       result += exam_numeric6();  cout << '.' << flush;
        
        if (!result) {
                cout << " passed " << endl;