]> www.ginac.de Git - ginac.git/blobdiff - check/exam_factor.cpp
G_numeric: put convergence/acceleration transofrmations into helper functions.
[ginac.git] / check / exam_factor.cpp
index ed064588e11bbabb42ff14829a946bfa42f89ec5..8851b7cc2f2c9fedd59d52f91838866f14cf48fe 100644 (file)
@@ -58,6 +58,9 @@ static unsigned exam_factor1()
        e = ex("(1+x)^3", syms);
        result += check_factor(e);
 
+       e = ex("(x+1)*(x+4)", syms);
+       result += check_factor(e);
+
        e = ex("x^6-3*x^5+x^4-3*x^3-x^2-3*x+1", syms);
        result += check_factor(e);
 
@@ -79,7 +82,85 @@ static unsigned exam_factor1()
        e = ex("x^8-40*x^6+352*x^4-960*x^2+576", syms);
        result += check_factor(e);
 
-       e = ex("x*(2+x^2)*(1+x+x^3+x^2+x^6+x^5+x^4)*(1+x^3)^2*(-1+x)", syms);
+       e = ex("x*(2+x^2)*(1+x+x^3+x^2+x^6+x^5+x^4)*(1+x)^2*(1-x+x^2)^2*(-1+x)", syms);
+       result += check_factor(e);
+
+       e = ex("(x+4+x^2-x^3+43*x^4)*(x+1-x^2-3*x^3+4*x^4)", syms);
+       result += check_factor(e);
+
+       e = ex("-x^2*(x-1)*(1+x^2)", syms);
+       result += check_factor(e);
+
+       e = x;
+       result += check_factor(e);
+
+       // x^37 + 1
+       e = ex("(1+x)*(1+x^2-x^29-x^11-x^25-x^9-x^35+x^20-x^3+x^16-x^15-x-x^13+x^28+x^24-x^33+x^8-x^19+x^36+x^12-x^27+x^10-x^23+x^18+x^14+x^34-x^31+x^32+x^30-x^5+x^26+x^4+x^22-x^21-x^7-x^17+x^6)", syms);
+       result += check_factor(e);
+
+       e = ex("(1+4*x)*x^2*(1-4*x+16*x^2)*(3+5*x+92*x^3)", syms);
+       result += check_factor(e);
+
+       e = ex("(77+11*x^3+25*x^2+27*x+102*x^4)*(85+57*x^3+92*x^2+29*x+66*x^4)", syms);
+       result += check_factor(e);
+
+       return result;
+}
+
+static unsigned exam_factor2()
+{
+       unsigned result = 0;
+       ex e, d;
+       symbol x("x"), y("y"), z("z");
+       lst syms;
+       syms = x, y, z;
+       
+       e = ex("x+y", syms);
+       result += check_factor(e);
+
+       e = ex("(x^2-y+1)*(x+y)", syms);
+       result += check_factor(e);
+
+       e = ex("-2*(x+y)*(x-y)", syms);
+       result += check_factor(e);
+
+       e = ex("(16+x^2*z^3)*(-17+3*x-5*z)*(2*x+3*z)*(x-y^2-z^3)", syms);
+       result += check_factor(e);
+
+       e = ex("(x-y*z)*(x-y^2-z^3)*(x+y+z)", syms);
+       result += check_factor(e);
+       
+       e = ex("-(y^2-x+z^3)*x*(x+y+z)", syms);
+       result += check_factor(e);
+       
+       e = ex("-316*(3*x-4*z)*(2*x+3*z)*(x+y)*(-1+x)", syms);
+       result += check_factor(e);
+       
+       e = ex("(x+x^3+z^2)*(3*x-4*z)", syms);
+       result += check_factor(e);
+       
+       e = ex("250*(-3+x)*(4*z-3*x)*(x^3+z^2+x)*x", syms);
+       result += check_factor(e);
+       
+       e = ex("327*(x+z^2+x^3)*(3*x-4*z)*(-7+5*x-x^3)*(1+x+x^2)", syms);
+       result += check_factor(e);
+       
+       e = ex("x-y^2-z^3", syms);
+       result += check_factor(e);
+       
+       e = ex("-390*(7+3*x^4)*(2+x^2)*(x-z^3-y^2)", syms);
+       result += check_factor(e);
+       
+       e = ex("55*(1+x)^2*(3*x-4*z)*(1+x+x^2)*(x+x^3+z^2)", syms);
+       result += check_factor(e);
+       
+       e = ex("x+y*x-1", syms);
+       result += check_factor(e);
+       
+       e = ex("390*(-1+x^6-x)*(7+3*x^4)*(2+x^2)*(y+x)*(-1+y-x^2)*(1+x^2+x)^2", syms);
+       result += check_factor(e);
+       
+       e = ex("310*(y+x)*(-1+y-x^2)", syms);
        result += check_factor(e);
 
        return result;
@@ -92,6 +173,7 @@ unsigned exam_factor()
        cout << "examining polynomial factorization" << flush;
 
        result += exam_factor1(); cout << '.' << flush;
+       result += exam_factor2(); cout << '.' << flush;
 
        return result;
 }