[PATCH 3/3] Stronger normalisation method for powers.

[ginac.git] / check / exam_normalization.cpp

diff --git a/check/exam_normalization.cpp b/check/exam_normalization.cpp
index c432102193ec2ef5534bc8923b42ebe7f0cb040e..93161cb31e04f22d124d21a862d99be95f67f6cc 100644 (file)
--- a/check/exam_normalization.cpp
+++ b/check/exam_normalization.cpp
@@ -255,6 +255,61 @@ static unsigned exam_exponent_law()
        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;
@@ -267,6 +322,7 @@ unsigned exam_normalization()
        result += exam_normal4(); cout << '.' << flush;
        result += exam_content(); cout << '.' << flush;
        result += exam_exponent_law(); cout << '.' << flush;
+       result += exam_power_law(); cout << '.' << flush;
        
        return result;
 }