* Rational function normalization test suite. */
/*
- * GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2020 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
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);
-
+
+ // Replacement of nested functions with temporary symbols
+ e = x/(sqrt(sin(z)-1)) + y/(sqrt(sin(z)-1));
+ d = (x + y)/(sqrt(sin(z)-1));
+ result += check_normal(e, d);
+
return result;
}
return result;
}
+static unsigned exam_exponent_law()
+{
+ unsigned result = 0;
+ ex e, d;
+
+ // simple case
+ e = exp(2*x)-1;
+ e /= exp(x)-1;
+ d = exp(x)+1;
+ result += check_normal(e, d);
+
+ // More involved with powers of two exponents
+ e = exp(15*x)+exp(12*x)+2*exp(10*x)+2*exp(7*x);
+ e /= exp(5*x)+exp(2*x);
+ d = pow(exp(5*x), 2) +2*exp(5*x);
+ result += check_normal(e, d);
+
+ lst bases = {
+ 5*exp(3*x)+7, // Powers of a single exponent
+ 5*exp(3*x)+7*exp(2*x), // Two different factors of a single variable
+ 5*exp(3*x)+7*exp(2*y) // Exponent with different variable
+ };
+
+ for (auto den : bases) {
+ e = pow(den, 3).expand();
+ e /= pow(den, 2).expand();
+ result += check_normal(e, den);
+ }
+
+ return result;
+}
+
+static unsigned exam_power_law()
+{
+ unsigned result = 0;
+ ex e, d;
+
+ lst bases = {x, pow(x, numeric(1,3)), exp(x), sin(x)}; // We run all check for power base of different kinds
+
+ for ( auto b : bases ) {
+
+ // simple case
+ e = 4*b-9;
+ e /= 2*sqrt(b)-3;
+ d = 2*sqrt(b)+3;
+ result += check_normal(e, d);
+
+ // Fractional powers
+ e = 4*pow(b, numeric(2,3))-9;
+ e /= 2*pow(b, numeric(1,3))-3;
+ d = 2*pow(b, numeric(1,3))+3;
+ result += check_normal(e, d);
+
+ // Different powers with the same base
+ e = 4*b-9*sqrt(b);
+ e /= 2*sqrt(b)-3*pow(b, numeric(1,4));
+ d = 2*sqrt(b)+3*pow(b, numeric(1,4));
+ result += check_normal(e, d);
+
+ // Non-numeric powers
+ e = 4*pow(b, 2*y)-9;
+ e /= 2*pow(b, y)-3;
+ d = 2*pow(b, y)+3;
+ result += check_normal(e, d);
+
+ // Non-numeric fractional powers
+ e = 4*pow(b, y)-9;
+ e /= 2*pow(b, y/2)-3;
+ d = 2*pow(b, y/2)+3;
+ result += check_normal(e, d);
+
+ // Different non-numeric powers
+ e = 4*pow(b, 2*y)-9*pow(b, 2*z);
+ e /= 2*pow(b, y)-3*pow(b, z);
+ d = 2*pow(b, y)+3*pow(b, z);
+ result += check_normal(e, d);
+
+ // Different non-numeric fractional powers
+ e = 4*pow(b, y)-9*pow(b, z);
+ e /= 2*pow(b, y/2)-3*pow(b, z/2);
+ d = 2*pow(b, y/2)+3*pow(b, z/2);
+ result += check_normal(e, d);
+ }
+
+ return result;
+}
+
unsigned exam_normalization()
{
unsigned result = 0;
result += exam_normal3(); cout << '.' << flush;
result += exam_normal4(); cout << '.' << flush;
result += exam_content(); cout << '.' << flush;
+ result += exam_exponent_law(); cout << '.' << flush;
+ result += exam_power_law(); cout << '.' << flush;
return result;
}