def eval(cls, y, x):
sign_y = C.sign(y)
if y.is_zero:
if x.is_positive:
return S.Zero
elif x.is_zero:
return S.NaN
elif x.is_negative:
return S.Pi
elif x.is_zero:
if sign_y.is_Number:
return sign_y * S.Pi / 2
else:
abs_yx = C.Abs(y / x)
if sign_y.is_Number and abs_yx.is_number:
phi = C.atan(abs_yx)
if x.is_positive:
return sign_y * phi
else:
return sign_y * (S.Pi - phi)
def as_real_imag(self, deep=True, **hints):
other = []
coeff = S(1)
for a in self.args:
if a.is_real:
coeff *= a
elif a.is_commutative:
# search for complex conjugate pairs:
for i, x in enumerate(other):
if x == a.conjugate():
coeff *= C.Abs(x)**2
del other[i]
break
else:
other.append(a)
else:
other.append(a)
m = Mul(*other)
if hints.get('ignore') == m:
return None
else:
return (coeff * C.re(m), coeff * C.im(m))
