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#!/usr/bin/env python3
class Serial:
modulus = 2 ** 32
@property
def bitmask(self):
return self.modulus - 1
@property
def signbit(self):
return self.modulus >> 1
def __init__(self, val):
self._val = int(val) & self.bitmask
def __add__(self, val):
return type(self)(self._val + int(val))
def __le__(self, other):
return (self.modulus - int(self) + int(other)) & self.signbit == 0
def __ge__(self, other):
return (self.modulus + int(self) - int(other)) & self.signbit == 0
def __eq__(self, other):
return int(self) == int(other)
def __ne__(self, other):
return int(self) != int(other)
def __lt__(self, other):
return self != other and self <= other
def __gt__(self, other):
return self != other and self >= other
def __int__(self):
return self._val
def __str__(self):
return f"{int(self):{len(str(self.modulus))}d}"
def step(start, finish):
if start < finish:
return start, finish
else:
midpoint = start + ((Serial.modulus >> 1) - 2)
assert start < midpoint and midpoint < finish
return start, midpoint, finish
if __name__ == "__main__":
from random import randint
for test in range(100):
i1 = Serial(randint(0, Serial.modulus - 1))
i2 = Serial(randint(0, Serial.modulus - 1))
assert i1 == i2 or \
(i1 < i2 and not (i1 > i2)) or \
(i1 > i2 and not (i1 < i2)) or \
int(i1) & int(i2) == Serial.modulus >> 1
print(f"{i1} => {i2}: {', '.join(str(s) for s in step(i1, i2))}")
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