-
Notifications
You must be signed in to change notification settings - Fork 0
/
xorshift128plus.py
66 lines (60 loc) · 2.09 KB
/
xorshift128plus.py
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
63
64
65
66
MASK = 0xFFFFFFFFFFFFFFFF
def hash(state0: int, state1: int) -> int:
s1 = state0 & MASK
s0 = state1 & MASK
s1 ^= (s1 << 23) & MASK
s1 ^= (s1 >> 17) & MASK
s1 ^= s0 & MASK
s1 ^= (s0 >> 26) & MASK
state1 = s1 & MASK
return state1
def reduce(states: list) -> int:
s = states.pop(0)
for i in states:
s = hash(s, i)
return s
def double(input: int) -> list:
second = hash(input, input)
third = hash(second, input)
fourth = hash(second, third)
return [third, fourth]
# ┌─────┐ ┌─────┐ ┌─────┐ ┌─────┐
# │ ▼ │ ▼ │ ▼ │ ▼
# input second third fourth result
# │ ▲ │ ▲ │ ▲ ▲
# └─────┴──────────┘ └─────│──────────┘
# └───────────────┘
def rand(input: int) -> int:
return hash(*double(input))
class Random:
def __init__(self, seed: int = None):
self.state: list[int] = [seed]
if seed == None:
import datetime
self.state = [int(datetime.datetime.now().timestamp())]
self.state: list[int] = [self.state[0], hash(self.state[0], self.state[0])]
def rand(self) -> int:
self.state = [hash(*self.state), rand(reduce([*self.state, *[rand(x) for x in self.state]]))]
return self.state[0]
def _getRandomBits(self, n: int) -> str:
rawBits = bin(self.rand())[2:]
if len(rawBits) < n:
rawBits += self._getRandomBits(n - len(rawBits))
return rawBits
def getRandomBits(self, n: int) -> "list[bool]":
rawBits = self._getRandomBits(n)
return [x == "1" for x in rawBits[:n]]
def randint(self, a: int, b: int) -> int:
return a + self.getRandomBits(b - a).count(True)
def choice(self, seq: list) -> int:
return seq[self.randint(0, len(seq) - 1)]
def random(self) -> float:
return self.randint(0, 100000) / 100000
# precision of 1/100000
random = Random()
if __name__ == "__main__":
print("Random numbers:")
r = [0 for x in range(10)]
for i in range(1000):
r[random.choice(range(10))] += 1
print(r)