--- /dev/null
+// check/normalization.cpp
+
+/* Rational function normalization test-suite. */
+
+#include "ginac.h"
+
+static symbol x("x"), y("y"), z("z");
+
+static unsigned check_normal(const ex &e, const ex &d)
+{
+ ex en = e.normal();
+ if (en.compare(d) != 0) {
+ clog << "normal form of " << e << " is " << en << " (should be " << d << ")" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+static unsigned normal1(void)
+{
+ unsigned result = 0;
+ ex e, d;
+
+ // Expansion
+ e = pow(x, 2) - (x+1)*(x-1) - 1;
+ d = exZERO();
+ 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 = numeric(2)/x + y/3;
+ d = (x*y/3 + 2) / x;
+ result += check_normal(e, d);
+
+ // Fraction addition
+ e = pow(x, -1) + x/(x+1);
+ d = (pow(x, 2)+x+1)/(x*(x+1));
+ result += check_normal(e, d);
+
+ // Fraction cancellation
+ 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);
+
+ // Fraction cancellation
+ e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
+ d = pow(x * 2, -1);
+ result += check_normal(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);
+
+ // 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 normalization(void)
+{
+ unsigned result = 0;
+
+ cout << "checking rational function normalization..." << flush;
+ clog << "---------rational function normalization:" << endl;
+
+ result += normal1();
+
+ if (!result) {
+ cout << " passed ";
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed ";
+ }
+ return result;
+}