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
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
|
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
#=======================================================================
#
# sha512.py
# ---------
# Simple, pure Python model of the SHA-512 hash function. Used as a
# reference for the HW implementation. The code follows the structure
# of the HW implementation as much as possible.
#
#
# Author: Joachim Strömbergson
# Copyright (c) 2014, SUNET
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or
# without modification, are permitted provided that the following
# conditions are met:
#
# 1. Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
#
# 2. Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in
# the documentation and/or other materials provided with the
# distribution.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
# STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
# ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#
#=======================================================================
#-------------------------------------------------------------------
# Python module imports.
#-------------------------------------------------------------------
import sys
#-------------------------------------------------------------------
# Constants.
#-------------------------------------------------------------------
MAX_64BIT = 0xffffffffffffffff
#-------------------------------------------------------------------
# ChaCha()
#-------------------------------------------------------------------
class SHA512():
def __init__(self, mode = 'MODE_SHA_512', verbose = 0):
assert mode in ['MODE_SHA_512_224', 'MODE_SHA_512_256',
'MODE_SHA_384', 'MODE_SHA_512']
self.mode = mode
self.verbose = verbose
self.mode
self.NUM_ROUNDS = 80
self.H = [0] * 8
self.t1 = 0
self.t2 = 0
self.a = 0
self.b = 0
self.c = 0
self.d = 0
self.e = 0
self.f = 0
self.g = 0
self.h = 0
self.w = 0
self.W = [0] * 16
self.k = 0
self.K = [0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f,
0xe9b5dba58189dbbc, 0x3956c25bf348b538, 0x59f111f1b605d019,
0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242,
0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235,
0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3,
0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65, 0x2de92c6f592b0275,
0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f,
0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725,
0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc,
0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6,
0x92722c851482353b, 0xa2bfe8a14cf10364, 0xa81a664bbc423001,
0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218,
0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99,
0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb,
0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc,
0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915,
0xc67178f2e372532b, 0xca273eceea26619c, 0xd186b8c721c0c207,
0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba,
0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc,
0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a,
0x5fcb6fab3ad6faec, 0x6c44198c4a475817]
def init(self):
if self.mode == 'MODE_SHA_512_224':
self.H = [0x8c3d37c819544da2, 0x73e1996689dcd4d6,
0x1dfab7ae32ff9c82, 0x679dd514582f9fcf,
0x0f6d2b697bd44da8, 0x77e36f7304c48942,
0x3f9d85a86a1d36c8, 0x1112e6ad91d692a1]
elif self.mode == 'MODE_SHA_512_256':
self.H = [0x22312194fc2bf72c, 0x9f555fa3c84c64c2,
0x2393b86b6f53b151, 0x963877195940eabd,
0x96283ee2a88effe3, 0xbe5e1e2553863992,
0x2b0199fc2c85b8aa, 0x0eb72ddc81c52ca2]
elif self.mode == 'MODE_SHA_384':
self.H = [0xcbbb9d5dc1059ed8, 0x629a292a367cd507,
0x9159015a3070dd17, 0x152fecd8f70e5939,
0x67332667ffc00b31, 0x8eb44a8768581511,
0xdb0c2e0d64f98fa7, 0x47b5481dbefa4fa4]
elif self.mode == 'MODE_SHA_512':
self.H = [0x6a09e667f3bcc908, 0xbb67ae8584caa73b,
0x3c6ef372fe94f82b, 0xa54ff53a5f1d36f1,
0x510e527fade682d1, 0x9b05688c2b3e6c1f,
0x1f83d9abfb41bd6b, 0x5be0cd19137e2179]
def next(self, block):
self._W_schedule(block)
self._copy_digest()
if self.verbose:
print("State after init:")
self._print_state(0)
for i in range(self.NUM_ROUNDS):
self._sha512_round(i)
if self.verbose:
self._print_state(i)
self._update_digest()
def get_digest(self):
if self.mode == 'MODE_SHA_512_224':
return self.H[0:3] # FIX THIS!
elif self.mode == 'MODE_SHA_512_256':
return self.H[0:4]
elif self.mode == 'MODE_SHA_384':
return self.H[0:6]
elif self.mode == 'MODE_SHA_512':
return self.H
def _copy_digest(self):
self.a = self.H[0]
self.b = self.H[1]
self.c = self.H[2]
self.d = self.H[3]
self.e = self.H[4]
self.f = self.H[5]
self.g = self.H[6]
self.h = self.H[7]
def _update_digest(self):
self.H[0] = (self.H[0] + self.a) & MAX_64BIT
self.H[1] = (self.H[1] + self.b) & MAX_64BIT
self.H[2] = (self.H[2] + self.c) & MAX_64BIT
self.H[3] = (self.H[3] + self.d) & MAX_64BIT
self.H[4] = (self.H[4] + self.e) & MAX_64BIT
self.H[5] = (self.H[5] + self.f) & MAX_64BIT
self.H[6] = (self.H[6] + self.g) & MAX_64BIT
self.H[7] = (self.H[7] + self.h) & MAX_64BIT
def _print_state(self, round):
print("State at round 0x%02x:" % round)
print("t1 = 0x%016x, t2 = 0x%016x" % (self.t1, self.t2))
print("k = 0x%016x, w = 0x%016x" % (self.k, self.w))
print("a = 0x%016x, b = 0x%016x" % (self.a, self.b))
print("c = 0x%016x, d = 0x%016x" % (self.c, self.d))
print("e = 0x%016x, f = 0x%016x" % (self.e, self.f))
print("g = 0x%016x, h = 0x%016x" % (self.g, self.h))
print("")
def _sha512_round(self, round):
self.k = self.K[round]
self.w = self._next_w(round)
self.t1 = self._T1(self.e, self.f, self.g, self.h, self.k, self.w)
self.t2 = self._T2(self.a, self.b, self.c)
self.h = self.g
self.g = self.f
self.f = self.e
self.e = (self.d + self.t1) & MAX_64BIT
self.d = self.c
self.c = self.b
self.b = self.a
self.a = (self.t1 + self.t2) & MAX_64BIT
def _next_w(self, round):
if (round < 16):
return self.W[round]
else:
tmp_w = (self._delta1(self.W[14]) +
self.W[9] +
self._delta0(self.W[1]) +
self.W[0]) & MAX_64BIT
for i in range(15):
self.W[i] = self.W[(i+1)]
self.W[15] = tmp_w
return tmp_w
def _W_schedule(self, block):
for i in range(16):
self.W[i] = block[i]
def _Ch(self, x, y, z):
return (x & y) ^ (~x & z)
def _Maj(self, x, y, z):
return (x & y) ^ (x & z) ^ (y & z)
def _sigma0(self, x):
return (self._rotr64(x, 28) ^ self._rotr64(x, 34) ^ self._rotr64(x, 39))
def _sigma1(self, x):
return (self._rotr64(x, 14) ^ self._rotr64(x, 18) ^ self._rotr64(x, 41))
def _delta0(self, x):
return (self._rotr64(x, 1) ^ self._rotr64(x, 8) ^ self._shr64(x, 7))
def _delta1(self, x):
return (self._rotr64(x, 19) ^ self._rotr64(x, 61) ^ self._shr64(x, 6))
def _T1(self, e, f, g, h, k, w):
return (h + self._sigma1(e) + self._Ch(e, f, g) + k + w) & MAX_64BIT
def _T2(self, a, b, c):
return (self._sigma0(a) + self._Maj(a, b, c)) & MAX_64BIT
def _rotr64(self, n, r):
return ((n >> r) | (n << (64 - r))) & MAX_64BIT
def _shr64(self, n, r):
return (n >> r)
def compare_digests(digest, expected):
if (digest != expected):
print("Error:")
print("Got:")
print(digest)
print("Expected:")
print(expected)
else:
print("Test case ok.")
#-------------------------------------------------------------------
# main()
#
# If executed tests the ChaCha class using known test vectors.
#-------------------------------------------------------------------
def main():
print("Testing the SHA-512 Python model.")
print("---------------------------------")
print
# Single block message.
TC1_block = [0x6162638000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000018]
my_sha512 = SHA512(mode = 'MODE_SHA_512', verbose=1);
TC1_expected = [0xDDAF35A193617ABA, 0xCC417349AE204131, 0x12E6FA4E89A97EA2, 0x0A9EEEE64B55D39A,
0x2192992A274FC1A8, 0x36BA3C23A3FEEBBD, 0x454D4423643CE80E, 0x2A9AC94FA54CA49F]
my_sha512.init()
my_sha512.next(TC1_block)
my_digest = my_sha512.get_digest()
compare_digests(my_digest, TC1_expected)
my_sha512 = SHA512(mode = 'MODE_SHA_512_224', verbose=1);
TC2_expected = [0x4634270F707B6A54, 0xDAAE7530460842E2, 0x0E37ED265CEEE9A4, 0x3E8924AA00000000]
my_sha512.init()
my_sha512.next(TC1_block)
my_digest = my_sha512.get_digest()
compare_digests(my_digest, TC2_expected)
my_sha512 = SHA512(mode = 'MODE_SHA_512_256', verbose=1);
TC3_expected = [0x53048E2681941EF9, 0x9B2E29B76B4C7DAB, 0xE4C2D0C634FC6D46, 0xE0E2F13107E7AF23]
my_sha512.init()
my_sha512.next(TC1_block)
my_digest = my_sha512.get_digest()
compare_digests(my_digest, TC3_expected)
my_sha512 = SHA512(mode = 'MODE_SHA_384', verbose=1);
TC4_expected = [0xCB00753F45A35E8B, 0xB5A03D699AC65007, 0x272C32AB0EDED163, 0x1A8B605A43FF5BED,
0x8086072BA1E7CC23, 0x58BAECA134C825A7]
my_sha512.init()
my_sha512.next(TC1_block)
my_digest = my_sha512.get_digest()
compare_digests(my_digest, TC4_expected)
#-------------------------------------------------------------------
# __name__
# Python thingy which allows the file to be run standalone as
# well as parsed from within a Python interpreter.
#-------------------------------------------------------------------
if __name__=="__main__":
# Run the main function.
sys.exit(main())
#=======================================================================
# EOF sha512.py
#=======================================================================
|
