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 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 eval(cls, arg):
arg = sympify(arg)
if arg.is_Number:
if arg is S.NaN:
return S.NaN
elif arg is S.Zero:
return S.Zero
elif arg is S.One:
return S.Infinity
elif arg is S.NegativeOne:
return S.NegativeInfinity
elif arg.is_negative:
return -cls(-arg)
else:
i_coeff = arg.as_coefficient(S.ImaginaryUnit)
if i_coeff is not None:
return S.ImaginaryUnit * C.atan(i_coeff)
else:
coeff, terms = arg.as_coeff_terms()
if coeff.is_negative:
return -cls(-arg)
def eval(cls, arg):
arg = sympify(arg)
if arg.is_Number:
if arg is S.NaN:
return S.NaN
elif arg is S.Zero:
return S.Zero
elif arg is S.One:
return S.Infinity
elif arg is S.NegativeOne:
return S.NegativeInfinity
elif arg.is_negative:
return -cls(-arg)
else:
i_coeff = arg.as_coefficient(S.ImaginaryUnit)
if i_coeff is not None:
return S.ImaginaryUnit * C.atan(i_coeff)
else:
coeff, terms = arg.as_coeff_terms()
if coeff.is_negative:
return -cls(-arg)