* Rational function normalization test suite. */
/*
- * 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
static unsigned check_normal(const ex &e, const ex &d)
{
- ex en = e.normal();
- if (en.compare(d) != 0) {
- clog << "normal form of " << e << " erroneously returned "
- << en << " (should be " << d << ")" << endl;
- return 1;
- }
- return 0;
+ ex en = e.normal();
+ if (en.compare(d) != 0) {
+ clog << "normal form of " << e << " erroneously returned "
+ << en << " (should be " << d << ")" << endl;
+ return 1;
+ }
+ return 0;
}
-static unsigned exam_normal1(void)
+static unsigned exam_normal1()
{
- unsigned result = 0;
- ex e, d;
-
- // Expansion
- e = pow(x, 2) - (x+1)*(x-1) - 1;
- d = ex(0);
- result += check_normal(e, d);
-
- // Expansion inside functions
- e = sin(x*(x+1)-x) + 1;
- d = sin(pow(x, 2)) + 1;
- result += check_normal(e, d);
-
- // Fraction addition
- e = 2/x + y/3;
- d = (x*y + 6) / (x*3);
- result += check_normal(e, d);
-
- e = pow(x, -1) + x/(x+1);
- d = (pow(x, 2)+x+1)/(x*(x+1));
- result += check_normal(e, d);
+ unsigned result = 0;
+ ex e, d;
+
+ // Expansion
+ e = pow(x, 2) - (x+1)*(x-1) - 1;
+ d = 0;
+ result += check_normal(e, d);
+
+ // Expansion inside functions
+ e = sin(x*(x+1)-x) + 1;
+ d = sin(pow(x, 2)) + 1;
+ result += check_normal(e, d);
+
+ // Fraction addition
+ e = 2/x + y/3;
+ d = (x*y + 6) / (x*3);
+ result += check_normal(e, d);
+
+ e = pow(x, -1) + x/(x+1);
+ d = (pow(x, 2)+x+1)/(x*(x+1));
+ result += check_normal(e, d);
- return result;
+ return result;
}
-static unsigned exam_normal2(void)
+static unsigned exam_normal2()
{
- unsigned result = 0;
- ex e, d;
-
- // Fraction cancellation
- e = numeric(1)/2 * z * (2*x + 2*y);
- d = z * (x + y);
- result += check_normal(e, d);
-
- e = numeric(1)/6 * z * (3*x + 3*y) * (2*x + 2*w);
- d = z * (x + y) * (x + w);
- result += check_normal(e, d);
-
- e = (3*x + 3*y) * (w/3 + z/3);
- d = (x + y) * (w + z);
- result += check_normal(e, d);
-
- e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
- d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
- result += check_normal(e, d);
-
- e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
- d = pow(x * 2, -1);
- result += check_normal(e, d);
-
- // Fraction cancellation with rational coefficients
- e = (pow(x, 2) - pow(y, 2)) / pow(x/2 - y/2, 3);
- d = (8 * x + 8 * y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
- result += check_normal(e, d);
-
- // Fraction cancellation with rational coefficients
- e = z/5 * (x/7 + y/10) / (x/14 + y/20);
- d = 2*z/5;
- result += check_normal(e, d);
-
- return result;
+ unsigned result = 0;
+ ex e, d;
+
+ // Fraction cancellation
+ e = numeric(1)/2 * z * (2*x + 2*y);
+ d = z * (x + y);
+ result += check_normal(e, d);
+
+ e = numeric(1)/6 * z * (3*x + 3*y) * (2*x + 2*w);
+ d = z * (x + y) * (x + w);
+ result += check_normal(e, d);
+
+ e = (3*x + 3*y) * (w/3 + z/3);
+ d = (x + y) * (w + z);
+ result += check_normal(e, d);
+
+ e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
+ d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
+ result += check_normal(e, d);
+
+ e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
+ d = pow(x * 2, -1);
+ result += check_normal(e, d);
+
+ // Fraction cancellation with rational coefficients
+ e = (pow(x, 2) - pow(y, 2)) / pow(x/2 - y/2, 3);
+ d = (8 * x + 8 * y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
+ result += check_normal(e, d);
+
+ // Fraction cancellation with rational coefficients
+ e = z/5 * (x/7 + y/10) / (x/14 + y/20);
+ d = 2*z/5;
+ result += check_normal(e, d);
+
+ return result;
}
-static unsigned exam_normal3(void)
+static unsigned exam_normal3()
{
- unsigned result = 0;
- ex e, d;
-
- // Distribution of powers
- e = pow(x/y, 2);
- d = pow(x, 2) / pow(y, 2);
- result += check_normal(e, d);
-
- // Distribution of powers (integer, distribute) and fraction addition
- e = pow(pow(x, -1) + x, 2);
- d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
- result += check_normal(e, d);
-
- // Distribution of powers (non-integer, don't distribute) and fraction addition
- e = pow(pow(x, -1) + x, numeric(1)/2);
- d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
- result += check_normal(e, d);
-
- return result;
+ unsigned result = 0;
+ ex e, d;
+
+ // Distribution of powers
+ e = pow(x/y, 2);
+ d = pow(x, 2) / pow(y, 2);
+ result += check_normal(e, d);
+
+ // Distribution of powers (integer, distribute) and fraction addition
+ e = pow(pow(x, -1) + x, 2);
+ d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
+ result += check_normal(e, d);
+
+ // Distribution of powers (non-integer, don't distribute) and fraction addition
+ e = pow(pow(x, -1) + x, numeric(1)/2);
+ d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
+ result += check_normal(e, d);
+
+ return result;
}
-static unsigned exam_normal4(void)
+static unsigned exam_normal4()
{
- unsigned result = 0;
- ex e, d;
-
- // Replacement of functions with temporary symbols and fraction cancellation
- e = pow(sin(x), 2) - pow(cos(x), 2);
- e /= sin(x) + cos(x);
- d = sin(x) - cos(x);
- result += check_normal(e, d);
-
- // Replacement of non-integer powers with temporary symbols
- e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
- d = pow(numeric(2), numeric(1)/2) + 1;
- result += check_normal(e, d);
-
- // Replacement of complex numbers with temporary symbols
- e = (x + y + x*I + y*I) / (x + y);
- d = 1 + I;
- result += check_normal(e, d);
-
- e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
- d = e;
- result += check_normal(e, d);
-
- // More complex rational function
- e = (pow(x-y*2,4)/pow(pow(x,2)-pow(y,2)*4,2)+1)*(x+y*2)*(y+z)/(pow(x,2)+pow(y,2)*4);
- d = (y*2 + z*2) / (x + y*2);
- result += check_normal(e, d);
-
- return result;
+ unsigned result = 0;
+ ex e, d;
+
+ // Replacement of functions with temporary symbols and fraction cancellation
+ e = pow(sin(x), 2) - pow(cos(x), 2);
+ e /= sin(x) + cos(x);
+ d = sin(x) - cos(x);
+ result += check_normal(e, d);
+
+ // Replacement of non-integer powers with temporary symbols
+ e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
+ d = pow(numeric(2), numeric(1)/2) + 1;
+ result += check_normal(e, d);
+
+ // Replacement of complex numbers with temporary symbols
+ e = (x + y + x*I + y*I) / (x + y);
+ d = 1 + I;
+ result += check_normal(e, d);
+
+ e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
+ d = e;
+ result += check_normal(e, d);
+
+ // More complex rational function
+ e = (pow(x-y*2,4)/pow(pow(x,2)-pow(y,2)*4,2)+1)*(x+y*2)*(y+z)/(pow(x,2)+pow(y,2)*4);
+ d = (y*2 + z*2) / (x + y*2);
+ result += check_normal(e, d);
+
+ return result;
}
-unsigned exam_normalization(void)
+unsigned exam_normalization()
{
- unsigned result = 0;
-
- cout << "examining rational function normalization" << flush;
- clog << "----------rational function normalization:" << endl;
-
- result += exam_normal1(); cout << '.' << flush;
- result += exam_normal2(); cout << '.' << flush;
- result += exam_normal3(); cout << '.' << flush;
- result += exam_normal4(); cout << '.' << flush;
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
-
- return result;
+ unsigned result = 0;
+
+ cout << "examining rational function normalization" << flush;
+ clog << "----------rational function normalization:" << endl;
+
+ result += exam_normal1(); cout << '.' << flush;
+ result += exam_normal2(); cout << '.' << flush;
+ result += exam_normal3(); cout << '.' << flush;
+ result += exam_normal4(); cout << '.' << flush;
+
+ if (!result) {
+ cout << " passed " << endl;
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed " << endl;
+ }
+
+ return result;
}
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