if (!abs(pow(x+I*y,a+I*b)).eval().is_equal(abs(pow(x+I*y,a+I*b))))
++result;
+ // check expansion of abs
+ if (!abs(-7*z*a*p).expand(expand_options::expand_transcendental).is_equal(7*abs(z)*abs(a)*p))
+ ++result;
+
if (!abs(z.conjugate()).eval().is_equal(abs(z)))
++result;
return result;
}
+static unsigned inifcns_consist_exp()
+{
+ unsigned result = 0;
+ symbol a("a"), b("b");
+
+ if (!exp(a+b).expand(expand_options::expand_transcendental).is_equal(exp(a)*exp(b)))
+ ++result;
+
+ // shall not be expanded since the arg is not add
+ if (!exp(pow(a+b,2)).expand(expand_options::expand_transcendental).is_equal(exp(pow(a+b,2))))
+ ++result;
+
+ // expand now
+ if (!exp(pow(a+b,2)).expand(expand_options::expand_function_args | expand_options::expand_transcendental)
+ .is_equal(exp(a*a)*exp(b*b)*exp(2*a*b)))
+ ++result;
+
+ return result;
+}
+
+static unsigned inifcns_consist_log()
+{
+ unsigned result = 0;
+ symbol z("a"), w("b");
+ realsymbol a("a"), b("b");
+ possymbol p("p"), q("q");
+
+ // do not expand
+ if (!log(z*w).expand(expand_options::expand_transcendental).is_equal(log(z*w)))
+ ++result;
+
+ // do not expand
+ if (!log(a*b).expand(expand_options::expand_transcendental).is_equal(log(a*b)))
+ ++result;
+
+ // shall expand
+ if (!log(p*q).expand(expand_options::expand_transcendental).is_equal(log(p) + log(q)))
+ ++result;
+
+ // a bit more complicated
+ ex e1 = log(-7*p*pow(q,3)*a*pow(b,2)*z*w).expand(expand_options::expand_transcendental);
+ ex e2 = log(7)+log(p)+log(pow(q,3))+log(-z*a*w*pow(b,2));
+ if (!e1.is_equal(e2))
+ ++result;
+
+ if (!ex(log(pow(p,a))).is_equal(a*log(p)))
+ ++result;
+
+ // shall not do for non-real powers
+ if (ex(log(pow(p,z))).is_equal(z*log(p)))
+ ++result;
+
+ // shall not do for non-positive basis
+ if (ex(log(pow(a,b))).is_equal(b*log(a)))
+ ++result;
+
+ return result;
+}
+
static unsigned inifcns_consist_various()
{
unsigned result = 0;
result += inifcns_consist_psi(); cout << '.' << flush;
result += inifcns_consist_zeta(); cout << '.' << flush;
result += inifcns_consist_abs(); cout << '.' << flush;
+ result += inifcns_consist_exp(); cout << '.' << flush;
+ result += inifcns_consist_log(); cout << '.' << flush;
result += inifcns_consist_various(); cout << '.' << flush;
return result;