added a check for the expand() problem

diff --git a/check/exam_paranoia.cpp b/check/exam_paranoia.cpp
index 4050b5f5c238fcd49594993c4d18f02ce18ecdc1..b581d87b1fae9d824bb8ed96fb64cf11a27ddcc9 100644 (file)
--- a/check/exam_paranoia.cpp
+++ b/check/exam_paranoia.cpp
@@ -370,6 +370,41 @@ static unsigned exam_paranoia15(void)
        return result;
 }
 
+// Expanding products containing powers of sums could return results that
+// were not fully expanded. Fixed on Dec 10, 2003.
+static unsigned exam_paranoia16(void)
+{
+       unsigned result = 0;
+       symbol a("a"), b("b"), c("c"), d("d");
+       ex e1, e2, e3;
+
+       e1 = pow(1+a*sqrt(b+c), 2);
+       e2 = e1.expand();
+
+       if (e2.has(pow(a, 2)*(b+c))) {
+               clog << "expand(" << e1 << ") didn't fully expand\n";
+               ++result;
+       }
+
+       e1 = (d*sqrt(a+b)+a*sqrt(c+d))*(b*sqrt(a+b)+a*sqrt(c+d));
+       e2 = e1.expand();
+
+       if (e2.has(pow(a, 2)*(c+d))) {
+               clog << "expand(" << e1 << ") didn't fully expand\n";
+               ++result;
+       }
+
+       e1 = (a+sqrt(b+c))*sqrt(b+c)*(d+sqrt(b+c));
+       e2 = e1.expand();
+
+       if (e2.has(a*(b+c))) {
+               clog << "expand(" << e1 << ") didn't fully expand\n";
+               ++result;
+       }
+
+       return result;
+}
+
 unsigned exam_paranoia(void)
 {
        unsigned result = 0;
@@ -392,6 +427,7 @@ unsigned exam_paranoia(void)
        result += exam_paranoia13();  cout << '.' << flush;
        result += exam_paranoia14();  cout << '.' << flush;
        result += exam_paranoia15();  cout << '.' << flush;
+       result += exam_paranoia16();  cout << '.' << flush;
        
        if (!result) {
                cout << " passed " << endl;