1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
|
#!/usr/bin/env python3
class Serial:
modulus = 2 ** 32
def __init__(self, val):
self._val = int(val)
if self._val < 0 or self._val >= self.modulus:
raise ValueError
def __add__(self, val):
val = int(val)
if val < 0 or val > (self.modulus - 1) >> 1:
raise ValueError
return type(self)((self._val + val) & (self.modulus - 1))
def __le__(self, other):
return (self.modulus - int(self) + int(other)) & (self.modulus >> 1) == 0
def __ge__(self, other):
return (self.modulus + int(self) - int(other)) & (self.modulus >> 1) == 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(10000):
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))}")
|
