Added uniqueness check to rnd number seed generator
* some seeds were being marked as valid when they had repeating patterns
This commit is contained in:
Rob McMullen
parent
e377daf598
commit
2f0a592d58
|
|
@ -1,113 +1,46 @@
|
|||
#!/usr/bin/env python
|
||||
|
||||
import numpy as np
|
||||
|
||||
# prng16:
|
||||
# lsr rand+1
|
||||
# ror rand
|
||||
# bcc skip
|
||||
# lda rand+1
|
||||
# ; $60 = 1..32767, see table above
|
||||
# eor #$60
|
||||
# sta rand+1
|
||||
# skip:
|
||||
# rts
|
||||
|
||||
# rand:
|
||||
# ; seed mustn't be zero!
|
||||
# .byte $01,$00
|
||||
|
||||
# lfsr_order = [
|
||||
# (0x03, 0x03, ),
|
||||
# (0x07, 0x06, ),
|
||||
# (0x0f, 0x0c, ),
|
||||
# (0x1f, 0x14, ),
|
||||
# (0x3f, 0x30, ),
|
||||
# (0x7f, 0x60, ),
|
||||
# (0xff, 0xb8, ),
|
||||
# ]
|
||||
|
||||
# def get_prng(framenum):
|
||||
# if framenum < 0 or framenum > 6:
|
||||
# return []
|
||||
# seed = 0x843f
|
||||
# period, term = lfsr_order[framenum]
|
||||
# order = []
|
||||
# seed = (seed & period) | 0x01
|
||||
# for i in range(period):
|
||||
# rand = seed >> 1
|
||||
# if seed & 0x01:
|
||||
# rand ^= term
|
||||
# #order.append((rand & period) - 1 - period // 2 + 96)
|
||||
# #print("%d seed=%x rand=%x &period=%x" % (i, seed, rand, rand & period))
|
||||
# order.append((rand & period))
|
||||
# seed = rand
|
||||
# return order
|
||||
|
||||
|
||||
# adc/xor routine from:
|
||||
# https://stackoverflow.com/questions/17411712/finding-seeds-for-a-5-byte-prng
|
||||
|
||||
|
||||
adcxor_order = [
|
||||
(3, 0x07, 0x3, 0x7),
|
||||
(4, 0x0f, 0x7, 0xd),
|
||||
(5, 0x1f, 0x9, 0x1f),
|
||||
(6, 0x3f, 0x7, 0x17),
|
||||
(7, 0x7f, 0x15, 0x5b),
|
||||
(8, 0xff, 0x3b, 0x3f),
|
||||
]
|
||||
|
||||
def get_prng(framenum):
|
||||
if framenum < 0 or framenum > 5:
|
||||
return []
|
||||
BITS, period, num1, num2 = adcxor_order[framenum]
|
||||
order = []
|
||||
r = 0
|
||||
for i in range(period):
|
||||
r=(((r>>(BITS-1)) & 1)+r+r+num1)^num2
|
||||
r&=(1<<(BITS-1)) | ((1<<(BITS-1))-1)
|
||||
order.append(r)
|
||||
return order
|
||||
|
||||
# Pretty good choices for 8 bit seeds
|
||||
adcxor_8bit = [
|
||||
(0x03, 0x045),
|
||||
(0x03, 0x073),
|
||||
(0x03, 0x085),
|
||||
(0x03, 0x0b3),
|
||||
(0x0d, 0x04d),
|
||||
(0x0d, 0x08d),
|
||||
(0x23, 0x033),
|
||||
(0x23, 0x0f3),
|
||||
(0x3b, 0x03f),
|
||||
(0x3b, 0x0ff),
|
||||
(0x45, 0x07f),
|
||||
(0x45, 0x0bf),
|
||||
(0x5d, 0x073),
|
||||
(0x5d, 0x0b3),
|
||||
(0x73, 0x00d),
|
||||
(0x73, 0x0cd),
|
||||
(0x7d, 0x005),
|
||||
(0x7d, 0x033),
|
||||
(0x7d, 0x0c5),
|
||||
(0x7d, 0x0f3),
|
||||
]
|
||||
(0x03, 0x045),
|
||||
(0x03, 0x073),
|
||||
(0x03, 0x085),
|
||||
(0x03, 0x0b3),
|
||||
(0x0d, 0x04d),
|
||||
(0x0d, 0x08d),
|
||||
(0x23, 0x033),
|
||||
(0x23, 0x0f3),
|
||||
(0x3b, 0x03f),
|
||||
(0x3b, 0x0ff),
|
||||
(0x45, 0x07f),
|
||||
(0x45, 0x0bf),
|
||||
(0x5d, 0x073),
|
||||
(0x5d, 0x0b3),
|
||||
(0x73, 0x00d),
|
||||
(0x73, 0x0cd),
|
||||
(0x7d, 0x005),
|
||||
(0x7d, 0x033),
|
||||
(0x7d, 0x0c5),
|
||||
(0x7d, 0x0f3),
|
||||
]
|
||||
|
||||
def get_prng8(framenum):
|
||||
num1, num2 = adcxor_8bit[framenum]
|
||||
def get_prng8(bits, adc, xor):
|
||||
order = []
|
||||
r = 0
|
||||
BITS = 8
|
||||
for i in range(255):
|
||||
r=(((r>>(BITS-1)) & 1)+r+r+num1)^num2
|
||||
r&=(1<<(BITS-1)) | ((1<<(BITS-1))-1)
|
||||
for i in range(2**bits):
|
||||
r=(((r>>(bits-1)) & 1)+r+r+adc)^xor
|
||||
r&=(1<<(bits-1)) | ((1<<(bits-1))-1)
|
||||
order.append(r)
|
||||
return order
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
gen_16_bit = False
|
||||
summary = False
|
||||
summary = True
|
||||
show = True
|
||||
|
||||
if gen_16_bit:
|
||||
random_bits = 16
|
||||
|
|
@ -115,39 +48,44 @@ if __name__ == '__main__':
|
|||
random_bits = 8
|
||||
|
||||
valid_seeds = []
|
||||
mc = 0
|
||||
for BITS in range(2, random_bits + 1):
|
||||
mc = 0
|
||||
|
||||
num1 = 1
|
||||
adc = 1 # Only odd add values produce useful results
|
||||
while True:
|
||||
num2 = 1
|
||||
xor = 1 # Only odd add values produce useful results
|
||||
while True:
|
||||
r = 0
|
||||
c = 0
|
||||
c = ~0
|
||||
values = []
|
||||
while True:
|
||||
r=(((r>>(BITS-1)) & 1)+r+r+num1)^num2
|
||||
r=(((r>>(BITS-1)) & 1)+r+r+adc)^xor
|
||||
r&=(1<<(BITS-1)) | ((1<<(BITS-1))-1)
|
||||
c += 1
|
||||
values.append(r)
|
||||
if r == 0:
|
||||
break
|
||||
if c == (1 << BITS):
|
||||
#print("BITS: %d Num1(adc): %04x, Num2(eor): %04x count=%d values=%s" % (BITS, num1, num2, len(values), ",".join("%x" % x for x in values)))
|
||||
valid_seeds.append((BITS, num1, num2))
|
||||
print("BITS: %d Num1(adc): %04x, Num2(eor): %04x" % (BITS, num1, num2))
|
||||
# if c >= mc:
|
||||
# mc = c
|
||||
# print("BITS: %x Count-1: %04x, Num1(adc): %04x, Num2(eor): %04x\n" % (BITS, c, num1, num2))
|
||||
num2 += 2
|
||||
num2 &= (1<<(BITS-1)) | ((1<<(BITS-1))-1)
|
||||
if num2 == 1:
|
||||
if c >= mc:
|
||||
mc = c
|
||||
valid_seeds.append((BITS, adc, xor))
|
||||
if not summary:
|
||||
print("BITS: %d adc: %04x, xor: %04x" % (BITS, adc, xor))
|
||||
xor += 2
|
||||
xor &= (1<<(BITS-1)) | ((1<<(BITS-1))-1)
|
||||
if xor == 1:
|
||||
break
|
||||
num1 += 2
|
||||
num1 &= ((1<<(BITS-1))-1) # * Do not check complements
|
||||
if num1 == 1:
|
||||
adc += 2
|
||||
adc &= ((1<<(BITS-1))-1) # * Do not check complements
|
||||
if adc == 1:
|
||||
break
|
||||
|
||||
if summary:
|
||||
for bits, num1, num2 in valid_seeds:
|
||||
print("BITS: %d Num1(adc): %04x, Num2(eor): %04x" % (bits, num1, num2))
|
||||
for bits, adc, xor in valid_seeds:
|
||||
print("BITS: %d adc(adc): %04x, xor(eor): %04x" % (bits, adc, xor))
|
||||
if show:
|
||||
values = get_prng8(bits, adc, xor)
|
||||
unique_check = set(values)
|
||||
if len(values) == len(unique_check):
|
||||
print("%d: %s" % (len(values), str(values)))
|
||||
else:
|
||||
print("Failed unique check")
|
||||
|
|
|
|||
Loading…
Reference in New Issue