static unsigned check_normal(const ex &e, const ex &d)
{
ex en = e.normal();
- if (en.compare(d) != 0) {
+ if (!en.is_equal(d)) {
clog << "normal form of " << e << " erroneously returned "
<< en << " (should be " << d << ")" << endl;
return 1;
return result;
}
+/* Test content(), integer_content(), primpart(). */
+static unsigned check_content(const ex & e, const ex & x, const ex & ic, const ex & c, const ex & pp)
+{
+ unsigned result = 0;
+
+ ex r_ic = e.integer_content();
+ if (!r_ic.is_equal(ic)) {
+ clog << "integer_content(" << e << ") erroneously returned "
+ << r_ic << " instead of " << ic << endl;
+ ++result;
+ }
+
+ ex r_c = e.content(x);
+ if (!r_c.is_equal(c)) {
+ clog << "content(" << e << ", " << x << ") erroneously returned "
+ << r_c << " instead of " << c << endl;
+ ++result;
+ }
+
+ ex r_pp = e.primpart(x);
+ if (!r_pp.is_equal(pp)) {
+ clog << "primpart(" << e << ", " << x << ") erroneously returned "
+ << r_pp << " instead of " << pp << endl;
+ ++result;
+ }
+
+ ex r = r_c*r_pp*e.unit(x);
+ if (!(r - e).expand().is_zero()) {
+ clog << "product of unit, content, and primitive part of " << e << " yielded "
+ << r << " instead of " << e << endl;
+ ++result;
+ }
+
+ return result;
+}
+
+static unsigned exam_content()
+{
+ unsigned result = 0;
+ symbol x("x"), y("y");
+
+ result += check_content(ex(-3)/4, x, ex(3)/4, ex(3)/4, 1);
+ result += check_content(-x/4, x, ex(1)/4, ex(1)/4, x);
+ result += check_content(5*x-15, x, 5, 5, x-3);
+ result += check_content(5*x*y-15*y*y, x, 5, 5*y, x-3*y);
+ result += check_content(-15*x/2+ex(25)/3, x, ex(5)/6, ex(5)/6, 9*x-10);
+
+ return result;
+}
+
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;
+ result += exam_normal1(); cout << '.' << flush;
+ result += exam_normal2(); cout << '.' << flush;
+ result += exam_normal3(); cout << '.' << flush;
+ result += exam_normal4(); cout << '.' << flush;
+ result += exam_content(); cout << '.' << flush;
if (!result) {
cout << " passed " << endl;