from z3 import *

def ADD(x, y):
	return x + y

def MUL(x, y):
	return x * y

def SUB(x, y):
	return x - y

def DIV(x, y):
	return If(y == 0, 0, UDiv(x, y))

def SDIV(x, y):
	return If(y == 0, 0, x / y)

def MOD(x, y):
	return If(y == 0, 0, URem(x, y))

def SMOD(x, y):
	return If(y == 0, 0, x % y)

def LT(x, y):
	return If(ULT(x, y), BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def GT(x, y):
	return If(UGT(x, y), BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def SLT(x, y):
	return If(x < y, BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def SGT(x, y):
	return If(x > y, BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def EQ(x, y):
	return If(x == y, BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def ISZERO(x):
	return If(x == 0, BitVecVal(1, x.size()), BitVecVal(0, x.size()))

def AND(x, y):
	return x & y

def OR(x, y):
	return x | y

def NOT(x):
	return ~(x)

def SHL(x, y):
	return y << x

def SHR(x, y):
	return LShR(y, x)

def SAR(x, y):
	return y >> x

def BYTE(i, x):
	bit = (i + 1) * 8
	return If(UGT(bit, x.size()), BitVecVal(0, x.size()), (LShR(x, (x.size() - bit))) & 0xff)