from dreamcoder.program import *
from dreamcoder.type import *


def _addition(x): return lambda y: x + y


def _subtraction(x): return lambda y: x - y


def _division(x): return lambda y: x / y


subtraction = Primitive("-",
                        arrow(tint, arrow(tint, tint)),
                        _subtraction)
real_subtraction = Primitive("-.",
                             arrow(treal, treal, treal),
                             _subtraction)
addition = Primitive("+",
                     arrow(tint, arrow(tint, tint)),
                     Curried(_addition))
real_addition = Primitive("+.",
                          arrow(treal, treal, treal),
                          _addition)


def _multiplication(x): return lambda y: x * y


multiplication = Primitive("*",
                           arrow(tint, arrow(tint, tint)),
                           _multiplication)
real_multiplication = Primitive("*.",
                                arrow(treal, treal, treal),
                                _multiplication)
real_division = Primitive("/.",
                          arrow(treal, treal, treal),
                          _division)


def _power(a): return lambda b: a**b


real_power = Primitive("power",
                       arrow(treal, treal, treal),
                       _power)

k1 = Primitive("1", tint, 1)
k_negative1 = Primitive("negative_1", tint, -1)
k0 = Primitive("0", tint, 0)
for n in range(2,10):
    Primitive(str(n),tint,n)

f1 = Primitive("1.", treal, 1.)
f0 = Primitive("0.", treal, 0)
real = Primitive("REAL", treal, None)
fpi = Primitive("pi", treal, 3.14)