-
Notifications
You must be signed in to change notification settings - Fork 1
/
Statistics.jl
212 lines (192 loc) · 7.18 KB
/
Statistics.jl
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
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
module Statistics
using Cipher, Tasks2, Rand2, NHST, LittleBrother, Prefix, BitDistance
export tests
function stats8(n, m, source)
for j = 1:m
data = source()
@printf("n: %d; mean: %3.1f; std: %3.1f; bytes: %4.2f; crln: %4.2f\n",
n, mean(data), std(data), chisq8(data), correln(data))
c2 = chisq2(data)
end
end
function chisq8(data)
bins = zeros(Int, 256)
for d in data
bins[d+1] = bins[d+1] + 1
end
# show(bins)
# println()
return run(ChisqTest, bins).p_value
end
function correln(data)
mean(map(ab -> nbits(ab[1] $ ab[2]), zip(data, data[2:])))
end
function stats2(n, m, source)
for j = 1:m
data = source()
c2 = chisq2(data)
print("bits")
for i = 1:8
@printf("; %d: %4.2f", i-1, c2[i])
end
println()
end
end
function chisq2(data)
bins = [zeros(Int, 2) for i in 1:8]
for d in data
b = 1
for i = 1:8
j = d & b == 0x0 ? 1 : 2
bins[i][j] = bins[i][j] + 1
b = b << 1
end
end
# show(bins)
# println()
collect(map(bin -> run(ChisqTest, bin).p_value, bins))
end
function loops(key_length, m, plain)
mn, nmn, sm, n = 1e9, 0, 0, 0
for i = 1:m
k = collect2(Uint8, take(key_length, rands(Uint8)))
try
n1, n2 = loop_stats(k, plain(), hash=no_count_hash, limit=10000)
if n2 < mn
mn = n2
nmn = 1
elseif n2 == mn
nmn = nmn + 1
end
sm = sm + n2
n = n + 1
catch
end
end
@printf("%3d/%3d min: %d (%d); avg: %5.1f\n", n, m, mn, nmn, sm / n)
end
function show_stats(n, key_length, label, m, plain; enc=encrypt)
@printf("%s [%d]\n", label, key_length)
key = () -> collect2(Uint8, take(key_length, rands(Uint8)))
stats8(n, m, () -> collect2(Uint8, take(n, enc(key(), plain()))))
stats2(n, m, () -> collect2(Uint8, take(n, enc(key(), plain()))))
loops(key_length, 100, plain)
end
function show_all()
text = read_file()
n = length(text)
show_stats(n, 3, "\ncontrol", 3, () -> rands(Uint8),
enc=(k, p) -> rands(Uint8))
show_stats(n, 3, "\nrandom", 3, () -> rands(Uint8))
show_stats(n, 3, "\nzero", 3, () -> constant(0x0))
show_stats(n, 3, "\n0x55", 3, () -> constant(0x55))
show_stats(n, 3, "\n0xff", 3, () -> constant(0xff))
show_stats(n, 3, "\ncounter", 3, () -> counter())
show_stats(n, 3, "\ntext", 3, () -> iterate(text))
show_stats(n, 8, "\nrandom", 3, () -> rands(Uint8))
show_stats(n, 8, "\nzero", 3, () -> constant(0x0))
show_stats(n, 8, "\n0x55", 3, () -> constant(0x55))
show_stats(n, 8, "\n0xff", 3, () -> constant(0xff))
show_stats(n, 8, "\ncounter", 3, () -> counter())
show_stats(n, 8, "\ntext", 3, () -> iterate(text))
show_stats(n, 16, "\nrandom", 3, () -> rands(Uint8))
show_stats(n, 16, "\nzero", 3, () -> constant(0x0))
show_stats(n, 16, "\n0x55", 3, () -> constant(0x55))
show_stats(n, 16, "\n0xff", 3, () -> constant(0xff))
show_stats(n, 16, "\ncounter", 3, () -> counter())
show_stats(n, 16, "\ntext", 3, () -> iterate(text))
end
function show_state(n, f, key_length)
for i = 1:n
k = 0
while true
k = k + 1
s = State(collect2(Uint8, take(key_length, rands(Uint8))))
p = counter(0x0)
t = encrypt(s, p)
n1, c = run_to_repeat(s, t, hash=no_count_hash)
if n1 < 0
continue
end
n2 = 0
s2 = State(s)
for j = 1:f
n2, _ = run_to_repeat(s, t, hash=no_count_hash)
if n2 != 1
break
end
end
if n2 != 1
continue
end
@printf("\ndiscard %d; after %d; cipher %02x\nstate %s\n", k, n1, c, s2)
trace(s2, consume(p)-1)
break
end
end
end
function trace(state::State, plain; forwards=true)
plain::Uint = plain & 0xff
@printf("%80s\n", state)
@printf("old_a = %02x\n", state.pos_a)
old_a = state.pos_a
@printf("%80s\n", state)
@printf("pos_a = key[%02x] %% %02x = %02x %% %02x = %02x\n",
state.pos_b, state.key_length,
state.key[state.pos_b+1], state.key_length,
state.key[state.pos_b+1] % state.key_length)
state.pos_a = state.key[state.pos_b+1] % state.key_length
@printf("%80s\n", state)
@printf("pos_b = (pos_a + 1 + (key[%02x] %% %02x)) %% %02x = (%02x + 1 + (%02x %% %02x)) %% %02x = %02x\n",
state.pos_c, state.key_length - 1, state.key_length,
state.pos_a, state.key[state.pos_c+1], state.key_length - 1, state.key_length,
(state.pos_a + 1 +
state.key[state.pos_c+1] % (state.key_length - 1)
) % state.key_length)
state.pos_b = (state.pos_a + 1 +
state.key[state.pos_c+1] % (state.key_length - 1)
) % state.key_length
@printf("%80s\n", state)
@printf("pos_c = (pos_a + 1 + (key[%02x] %% %02x)) %% %02x = (%02x + 1 + (%02x %% %02x)) %% %02x = %02x\n",
old_a, state.key_length - 1, state.key_length,
state.pos_a, state.key[old_a+1], state.key_length - 1, state.key_length,
(state.pos_a + 1 +
state.key[old_a+1] % (state.key_length - 1)
) % state.key_length)
state.pos_c = (state.pos_a + 1 +
state.key[old_a+1] % (state.key_length - 1)
) % state.key_length
@printf("%80s\n", state)
@printf("cipher = plain \$ key[%02x] \$ key[%02x] = %02x \$ %02x \$ %02x = %02x\n",
state.pos_a, state.pos_b,
plain, state.key[state.pos_a+1], state.key[state.pos_b+1],
plain $ state.key[state.pos_a+1] $ state.key[state.pos_b+1])
cipher::Uint8 = plain $ state.key[state.pos_a+1] $ state.key[state.pos_b+1]
@printf("%80s\n", state)
@printf("poison = %02x\n", forwards ? cipher : plain)
poison = forwards ? cipher : plain
@printf("key[%02x] = key[%02x] << 7 | key[%02x] >> 1 = %02x << 7 | %02x >> 1 = %02x\n",
state.pos_c, state.pos_c, state.pos_c,
state.key[state.pos_c+1], state.key[state.pos_c+1],
(state.key[state.pos_c+1] << 7 | state.key[state.pos_c+1] >> 1))
state.key[state.pos_c+1] = (state.key[state.pos_c+1] << 7 |
state.key[state.pos_c+1] >> 1)
@printf("%80s\n", state)
@printf("key[%02x] = key[%02x] \$ key[%02x] \$ %02x \$ %02x = %02x\n",
state.pos_a, state.pos_a, state.pos_c, state.count, poison,
(state.key[state.pos_a+1] $ state.key[state.pos_c+1] $ state.count $ poison))
state.key[state.pos_a+1] = (state.key[state.pos_a+1] $
state.key[state.pos_c+1] $
state.count $ poison)
@printf("%80s\n", state)
@printf("count = %02x + 1 = %02x\n",
state.count, state.count + 1)
state.count = state.count + 1
cipher
end
function tests()
println("Statistics")
show_all()
# show_state(10, 1, 3)
end
end