Source code for sympy.core.mod

from .function import Function
from sympy.core.numbers import Float
from sympy.core.function import expand_mul

[docs]class Mod(Function): """Represents a modulo operation on symbolic expressions. Receives two arguments, dividend p and divisor q. The convention used is the same as python's: the remainder always has the same sign as the divisor. Examples ======== >>> from import x, y >>> x**2 % y Mod(x**2, y) >>> _.subs({x: 5, y: 6}) 1 """ nargs = 2 @classmethod def eval(cls, p, q): from sympy.simplify.simplify import nsimplify if q.is_Number: float = not q.is_Rational pnew = expand_mul(p) if pnew.is_Number: float = float or not pnew.is_Rational if not float: return pnew % q return Float(nsimplify(pnew) % nsimplify(q)) elif pnew.is_Add and pnew.args[0].is_Number: r, p = pnew.as_two_terms() p += Mod(r, q) return Mod(p, q, evaluate=False)