added a check that expand(x^((a+b)^2-a^2-b^2-2*a*b)) -> 1

diff --git a/check/exam_misc.cpp b/check/exam_misc.cpp
index f8a52578c1005b59c758b9ea438a131014dcb872..3b2ff8eac6679bb9b3271b5ae1b3d599f55655bc 100644 (file)
--- a/check/exam_misc.cpp
+++ b/check/exam_misc.cpp
@@ -72,6 +72,23 @@ static unsigned exam_expand_subs2(void)
        return result;
 }
 
        return result;
 }
 

+static unsigned exam_expand_power(void)
+{
+       unsigned result = 0;
+       symbol x("x"), a("a"), b("b");
+       ex e;
+       
+       e = pow(x,pow(a+b,2)-pow(a,2)-pow(b,2)-a*b*2).expand();
+       
+       if (e != 1) {
+               clog << "e = pow(x,pow(a+b,2)-pow(a,2)-pow(b,2)-a*b*2).expand(); erroneously returned "
+                    << e << " instead of simplifying to 1." << endl;
+               ++result;
+       }
+       
+       return result;
+}
+

 unsigned exam_misc(void)
 {
        unsigned result = 0;
 unsigned exam_misc(void)
 {
        unsigned result = 0;


@@ -81,6 +98,7 @@ unsigned exam_misc(void)
        
        result += exam_expand_subs();  cout << '.' << flush;
        result += exam_expand_subs2();  cout << '.' << flush;
        
        result += exam_expand_subs();  cout << '.' << flush;
        result += exam_expand_subs2();  cout << '.' << flush;

+       result += exam_expand_power(); cout << '.' << flush;

        
        if (!result) {
                cout << " passed " << endl;
        
        if (!result) {
                cout << " passed " << endl;