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00401529 MW |
1 | ### -*-python-*- |
2 | ### | |
3 | ### Setup for Catacomb/Python bindings | |
4 | ### | |
5 | ### (c) 2004 Straylight/Edgeware | |
6 | ### | |
7 | ||
8 | ###----- Licensing notice --------------------------------------------------- | |
9 | ### | |
10 | ### This file is part of the Python interface to Catacomb. | |
11 | ### | |
12 | ### Catacomb/Python is free software; you can redistribute it and/or modify | |
13 | ### it under the terms of the GNU General Public License as published by | |
14 | ### the Free Software Foundation; either version 2 of the License, or | |
15 | ### (at your option) any later version. | |
16 | ### | |
17 | ### Catacomb/Python is distributed in the hope that it will be useful, | |
18 | ### but WITHOUT ANY WARRANTY; without even the implied warranty of | |
19 | ### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
20 | ### GNU General Public License for more details. | |
21 | ### | |
22 | ### You should have received a copy of the GNU General Public License | |
23 | ### along with Catacomb/Python; if not, write to the Free Software Foundation, | |
24 | ### Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. | |
ed8cc62d | 25 | |
d7ab1bab | 26 | import _base |
27 | import types as _types | |
28 | from binascii import hexlify as _hexify, unhexlify as _unhexify | |
46e6ad89 | 29 | from sys import argv as _argv |
30 | ||
00401529 MW |
31 | ###-------------------------------------------------------------------------- |
32 | ### Basic stuff. | |
ed8cc62d MW |
33 | |
34 | ## For the benefit of the default keyreporter, we need the program na,e. | |
46e6ad89 | 35 | _base._ego(_argv[0]) |
d7ab1bab | 36 | |
ed8cc62d MW |
37 | ## Initialize the module. Drag in the static methods of the various |
38 | ## classes; create names for the various known crypto algorithms. | |
d7ab1bab | 39 | def _init(): |
40 | d = globals() | |
41 | b = _base.__dict__; | |
42 | for i in b: | |
43 | if i[0] != '_': | |
44 | d[i] = b[i]; | |
45 | for i in ['MP', 'GF', 'Field', | |
00401529 MW |
46 | 'ECPt', 'ECPtCurve', 'ECCurve', 'ECInfo', |
47 | 'DHInfo', 'BinDHInfo', 'RSAPriv', 'BBSPriv', | |
48 | 'PrimeFilter', 'RabinMiller', | |
49 | 'Group', 'GE', | |
89157adc | 50 | 'KeySZ', 'KeyData']: |
d7ab1bab | 51 | c = d[i] |
52 | pre = '_' + i + '_' | |
53 | plen = len(pre) | |
54 | for j in b: | |
55 | if j[:plen] == pre: | |
00401529 | 56 | setattr(c, j[plen:], classmethod(b[j])) |
ed8cc62d MW |
57 | for i in [gcciphers, gchashes, gcmacs, gcprps]: |
58 | for c in i.itervalues(): | |
3e04ec3a | 59 | d[c.name.replace('-', '_').translate(None, '/')] = c |
ed8cc62d | 60 | for c in gccrands.itervalues(): |
3e04ec3a | 61 | d[c.name.replace('-', '_').translate(None, '/') + 'rand'] = c |
d7ab1bab | 62 | _init() |
63 | ||
ed8cc62d MW |
64 | ## A handy function for our work: add the methods of a named class to an |
65 | ## existing class. This is how we write the Python-implemented parts of our | |
66 | ## mostly-C types. | |
d7ab1bab | 67 | def _augment(c, cc): |
68 | for i in cc.__dict__: | |
69 | a = cc.__dict__[i] | |
70 | if type(a) is _types.MethodType: | |
71 | a = a.im_func | |
72 | elif type(a) not in (_types.FunctionType, staticmethod, classmethod): | |
73 | continue | |
74 | setattr(c, i, a) | |
75 | ||
ed8cc62d MW |
76 | ## Parsing functions tend to return the object parsed and the remainder of |
77 | ## the input. This checks that the remainder is input and, if so, returns | |
78 | ## just the object. | |
79 | def _checkend(r): | |
80 | x, rest = r | |
81 | if rest != '': | |
82 | raise SyntaxError, 'junk at end of string' | |
83 | return x | |
84 | ||
00401529 MW |
85 | ###-------------------------------------------------------------------------- |
86 | ### Bytestrings. | |
ed8cc62d | 87 | |
d7ab1bab | 88 | class _tmp: |
89 | def fromhex(x): | |
90 | return ByteString(_unhexify(x)) | |
91 | fromhex = staticmethod(fromhex) | |
92 | def __hex__(me): | |
93 | return _hexify(me) | |
94 | def __repr__(me): | |
95 | return 'bytes(%r)' % hex(me) | |
96 | _augment(ByteString, _tmp) | |
97 | bytes = ByteString.fromhex | |
98 | ||
00401529 MW |
99 | ###-------------------------------------------------------------------------- |
100 | ### Multiprecision integers and binary polynomials. | |
ed8cc62d | 101 | |
2ef393b5 | 102 | def _split_rat(x): |
83c77564 | 103 | if isinstance(x, BaseRat): return x._n, x._d |
2ef393b5 | 104 | else: return x, 1 |
83c77564 MW |
105 | class BaseRat (object): |
106 | """Base class implementing fields of fractions over Euclidean domains.""" | |
2ef393b5 | 107 | def __new__(cls, a, b): |
83c77564 | 108 | a, b = cls.RING(a), cls.RING(b) |
2ef393b5 MW |
109 | q, r = divmod(a, b) |
110 | if r == 0: return q | |
111 | g = b.gcd(r) | |
83c77564 | 112 | me = super(BaseRat, cls).__new__(cls) |
2ef393b5 MW |
113 | me._n = a//g |
114 | me._d = b//g | |
115 | return me | |
116 | @property | |
117 | def numer(me): return me._n | |
118 | @property | |
119 | def denom(me): return me._d | |
120 | def __str__(me): return '%s/%s' % (me._n, me._d) | |
83c77564 | 121 | def __repr__(me): return '%s(%s, %s)' % (type(me).__name__, me._n, me._d) |
2ef393b5 MW |
122 | |
123 | def __add__(me, you): | |
124 | n, d = _split_rat(you) | |
83c77564 | 125 | return type(me)(me._n*d + n*me._d, d*me._d) |
2ef393b5 MW |
126 | __radd__ = __add__ |
127 | def __sub__(me, you): | |
128 | n, d = _split_rat(you) | |
83c77564 | 129 | return type(me)(me._n*d - n*me._d, d*me._d) |
2ef393b5 MW |
130 | def __rsub__(me, you): |
131 | n, d = _split_rat(you) | |
83c77564 | 132 | return type(me)(n*me._d - me._n*d, d*me._d) |
2ef393b5 MW |
133 | def __mul__(me, you): |
134 | n, d = _split_rat(you) | |
83c77564 | 135 | return type(me)(me._n*n, me._d*d) |
2ef393b5 MW |
136 | def __div__(me, you): |
137 | n, d = _split_rat(you) | |
83c77564 | 138 | return type(me)(me._n*d, me._d*n) |
2ef393b5 MW |
139 | def __rdiv__(me, you): |
140 | n, d = _split_rat(you) | |
83c77564 | 141 | return type(me)(me._d*n, me._n*d) |
2ef393b5 MW |
142 | def __cmp__(me, you): |
143 | n, d = _split_rat(you) | |
83c77564 | 144 | return type(me)(me._n*d, n*me._d) |
2ef393b5 MW |
145 | def __rcmp__(me, you): |
146 | n, d = _split_rat(you) | |
147 | return cmp(n*me._d, me._n*d) | |
148 | ||
83c77564 MW |
149 | class IntRat (BaseRat): |
150 | RING = MP | |
151 | ||
152 | class GFRat (BaseRat): | |
153 | RING = GF | |
154 | ||
d7ab1bab | 155 | class _tmp: |
156 | def negp(x): return x < 0 | |
157 | def posp(x): return x > 0 | |
158 | def zerop(x): return x == 0 | |
159 | def oddp(x): return x.testbit(0) | |
160 | def evenp(x): return not x.testbit(0) | |
161 | def mont(x): return MPMont(x) | |
162 | def barrett(x): return MPBarrett(x) | |
163 | def reduce(x): return MPReduce(x) | |
83c77564 MW |
164 | def __div__(me, you): return IntRat(me, you) |
165 | def __rdiv__(me, you): return IntRat(you, me) | |
d7ab1bab | 166 | _augment(MP, _tmp) |
167 | ||
d7ab1bab | 168 | class _tmp: |
fbc145f3 | 169 | def zerop(x): return x == 0 |
ed8cc62d | 170 | def reduce(x): return GFReduce(x) |
fbc145f3 MW |
171 | def trace(x, y): return x.reduce().trace(y) |
172 | def halftrace(x, y): return x.reduce().halftrace(y) | |
173 | def modsqrt(x, y): return x.reduce().sqrt(y) | |
174 | def quadsolve(x, y): return x.reduce().quadsolve(y) | |
83c77564 MW |
175 | def __div__(me, you): return GFRat(me, you) |
176 | def __rdiv__(me, you): return GFRat(you, me) | |
d7ab1bab | 177 | _augment(GF, _tmp) |
178 | ||
179 | class _tmp: | |
ed8cc62d MW |
180 | def product(*arg): |
181 | 'product(ITERABLE) or product(I, ...) -> PRODUCT' | |
182 | return MPMul(*arg).done() | |
183 | product = staticmethod(product) | |
184 | _augment(MPMul, _tmp) | |
185 | ||
00401529 MW |
186 | ###-------------------------------------------------------------------------- |
187 | ### Abstract fields. | |
ed8cc62d MW |
188 | |
189 | class _tmp: | |
d7ab1bab | 190 | def fromstring(str): return _checkend(Field.parse(str)) |
191 | fromstring = staticmethod(fromstring) | |
192 | _augment(Field, _tmp) | |
193 | ||
194 | class _tmp: | |
195 | def __repr__(me): return '%s(%sL)' % (type(me).__name__, me.p) | |
6d481bc6 | 196 | def __hash__(me): return 0x114401de ^ hash(me.p) |
d7ab1bab | 197 | def ec(me, a, b): return ECPrimeProjCurve(me, a, b) |
198 | _augment(PrimeField, _tmp) | |
199 | ||
200 | class _tmp: | |
201 | def __repr__(me): return '%s(%sL)' % (type(me).__name__, hex(me.p)) | |
202 | def ec(me, a, b): return ECBinProjCurve(me, a, b) | |
203 | _augment(BinField, _tmp) | |
204 | ||
205 | class _tmp: | |
6d481bc6 MW |
206 | def __hash__(me): return 0x23e4701c ^ hash(me.p) |
207 | _augment(BinPolyField, _tmp) | |
208 | ||
209 | class _tmp: | |
210 | def __hash__(me): | |
211 | h = 0x9a7d6240 | |
212 | h ^= hash(me.p) | |
213 | h ^= 2*hash(me.beta) & 0xffffffff | |
214 | return h | |
215 | _augment(BinNormField, _tmp) | |
216 | ||
217 | class _tmp: | |
d7ab1bab | 218 | def __str__(me): return str(me.value) |
219 | def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value)) | |
220 | _augment(FE, _tmp) | |
221 | ||
00401529 MW |
222 | ###-------------------------------------------------------------------------- |
223 | ### Elliptic curves. | |
d7ab1bab | 224 | |
225 | class _tmp: | |
226 | def __repr__(me): | |
227 | return '%s(%r, %s, %s)' % (type(me).__name__, me.field, me.a, me.b) | |
228 | def frombuf(me, s): | |
229 | return ecpt.frombuf(me, s) | |
230 | def fromraw(me, s): | |
231 | return ecpt.fromraw(me, s) | |
232 | def pt(me, *args): | |
5f959e50 | 233 | return me(*args) |
d7ab1bab | 234 | _augment(ECCurve, _tmp) |
235 | ||
236 | class _tmp: | |
6d481bc6 MW |
237 | def __hash__(me): |
238 | h = 0x6751d341 | |
239 | h ^= hash(me.field) | |
240 | h ^= 2*hash(me.a) ^ 0xffffffff | |
241 | h ^= 5*hash(me.b) ^ 0xffffffff | |
242 | return h | |
243 | _augment(ECPrimeCurve, _tmp) | |
244 | ||
245 | class _tmp: | |
246 | def __hash__(me): | |
247 | h = 0x2ac203c5 | |
248 | h ^= hash(me.field) | |
249 | h ^= 2*hash(me.a) ^ 0xffffffff | |
250 | h ^= 5*hash(me.b) ^ 0xffffffff | |
251 | return h | |
252 | _augment(ECBinCurve, _tmp) | |
253 | ||
254 | class _tmp: | |
d7ab1bab | 255 | def __repr__(me): |
256 | if not me: return 'ECPt()' | |
257 | return 'ECPt(%s, %s)' % (me.ix, me.iy) | |
258 | def __str__(me): | |
259 | if not me: return 'inf' | |
260 | return '(%s, %s)' % (me.ix, me.iy) | |
261 | _augment(ECPt, _tmp) | |
262 | ||
263 | class _tmp: | |
264 | def __repr__(me): | |
265 | return 'ECInfo(curve = %r, G = %r, r = %s, h = %s)' % \ | |
00401529 | 266 | (me.curve, me.G, me.r, me.h) |
6d481bc6 MW |
267 | def __hash__(me): |
268 | h = 0x9bedb8de | |
269 | h ^= hash(me.curve) | |
270 | h ^= 2*hash(me.G) & 0xffffffff | |
271 | return h | |
d7ab1bab | 272 | def group(me): |
273 | return ECGroup(me) | |
274 | _augment(ECInfo, _tmp) | |
275 | ||
276 | class _tmp: | |
277 | def __repr__(me): | |
278 | if not me: return '%r()' % (me.curve) | |
279 | return '%r(%s, %s)' % (me.curve, me.x, me.y) | |
280 | def __str__(me): | |
281 | if not me: return 'inf' | |
282 | return '(%s, %s)' % (me.x, me.y) | |
283 | _augment(ECPtCurve, _tmp) | |
284 | ||
00401529 MW |
285 | ###-------------------------------------------------------------------------- |
286 | ### Key sizes. | |
ed8cc62d | 287 | |
d7ab1bab | 288 | class _tmp: |
289 | def __repr__(me): return 'KeySZAny(%d)' % me.default | |
290 | def check(me, sz): return True | |
291 | def best(me, sz): return sz | |
292 | _augment(KeySZAny, _tmp) | |
293 | ||
294 | class _tmp: | |
295 | def __repr__(me): | |
296 | return 'KeySZRange(%d, %d, %d, %d)' % \ | |
00401529 | 297 | (me.default, me.min, me.max, me.mod) |
d7ab1bab | 298 | def check(me, sz): return me.min <= sz <= me.max and sz % me.mod == 0 |
299 | def best(me, sz): | |
300 | if sz < me.min: raise ValueError, 'key too small' | |
301 | elif sz > me.max: return me.max | |
302 | else: return sz - (sz % me.mod) | |
303 | _augment(KeySZRange, _tmp) | |
304 | ||
305 | class _tmp: | |
306 | def __repr__(me): return 'KeySZSet(%d, %s)' % (me.default, me.set) | |
307 | def check(me, sz): return sz in me.set | |
308 | def best(me, sz): | |
309 | found = -1 | |
310 | for i in me.set: | |
311 | if found < i <= sz: found = i | |
312 | if found < 0: raise ValueError, 'key too small' | |
313 | return found | |
314 | _augment(KeySZSet, _tmp) | |
315 | ||
00401529 MW |
316 | ###-------------------------------------------------------------------------- |
317 | ### Abstract groups. | |
ed8cc62d | 318 | |
d7ab1bab | 319 | class _tmp: |
320 | def __repr__(me): | |
321 | return '%s(p = %s, r = %s, g = %s)' % \ | |
00401529 | 322 | (type(me).__name__, me.p, me.r, me.g) |
d7ab1bab | 323 | _augment(FGInfo, _tmp) |
324 | ||
325 | class _tmp: | |
326 | def group(me): return PrimeGroup(me) | |
327 | _augment(DHInfo, _tmp) | |
328 | ||
329 | class _tmp: | |
330 | def group(me): return BinGroup(me) | |
331 | _augment(BinDHInfo, _tmp) | |
332 | ||
333 | class _tmp: | |
334 | def __repr__(me): | |
335 | return '%s(%r)' % (type(me).__name__, me.info) | |
336 | _augment(Group, _tmp) | |
337 | ||
338 | class _tmp: | |
6d481bc6 MW |
339 | def __hash__(me): |
340 | info = me.info | |
341 | h = 0xbce3cfe6 | |
342 | h ^= hash(info.p) | |
343 | h ^= 2*hash(info.r) & 0xffffffff | |
344 | h ^= 5*hash(info.g) & 0xffffffff | |
345 | return h | |
346 | _augment(PrimeGroup, _tmp) | |
347 | ||
348 | class _tmp: | |
349 | def __hash__(me): | |
350 | info = me.info | |
351 | h = 0x80695949 | |
352 | h ^= hash(info.p) | |
353 | h ^= 2*hash(info.r) & 0xffffffff | |
354 | h ^= 5*hash(info.g) & 0xffffffff | |
355 | return h | |
356 | _augment(BinGroup, _tmp) | |
357 | ||
358 | class _tmp: | |
359 | def __hash__(me): return 0x0ec23dab ^ hash(me.info) | |
360 | _augment(ECGroup, _tmp) | |
361 | ||
362 | class _tmp: | |
d7ab1bab | 363 | def __repr__(me): |
364 | return '%r(%r)' % (me.group, str(me)) | |
365 | _augment(GE, _tmp) | |
366 | ||
00401529 MW |
367 | ###-------------------------------------------------------------------------- |
368 | ### RSA encoding techniques. | |
ed8cc62d MW |
369 | |
370 | class PKCS1Crypt (object): | |
d7ab1bab | 371 | def __init__(me, ep = '', rng = rand): |
372 | me.ep = ep | |
373 | me.rng = rng | |
374 | def encode(me, msg, nbits): | |
375 | return _base._p1crypt_encode(msg, nbits, me.ep, me.rng) | |
376 | def decode(me, ct, nbits): | |
377 | return _base._p1crypt_decode(ct, nbits, me.ep, me.rng) | |
378 | ||
ed8cc62d | 379 | class PKCS1Sig (object): |
d7ab1bab | 380 | def __init__(me, ep = '', rng = rand): |
381 | me.ep = ep | |
382 | me.rng = rng | |
383 | def encode(me, msg, nbits): | |
384 | return _base._p1sig_encode(msg, nbits, me.ep, me.rng) | |
385 | def decode(me, msg, sig, nbits): | |
386 | return _base._p1sig_decode(msg, sig, nbits, me.ep, me.rng) | |
387 | ||
ed8cc62d | 388 | class OAEP (object): |
d7ab1bab | 389 | def __init__(me, mgf = sha_mgf, hash = sha, ep = '', rng = rand): |
390 | me.mgf = mgf | |
391 | me.hash = hash | |
392 | me.ep = ep | |
393 | me.rng = rng | |
394 | def encode(me, msg, nbits): | |
395 | return _base._oaep_encode(msg, nbits, me.mgf, me.hash, me.ep, me.rng) | |
396 | def decode(me, ct, nbits): | |
397 | return _base._oaep_decode(ct, nbits, me.mgf, me.hash, me.ep, me.rng) | |
398 | ||
ed8cc62d | 399 | class PSS (object): |
d7ab1bab | 400 | def __init__(me, mgf = sha_mgf, hash = sha, saltsz = None, rng = rand): |
401 | me.mgf = mgf | |
402 | me.hash = hash | |
403 | if saltsz is None: | |
404 | saltsz = hash.hashsz | |
405 | me.saltsz = saltsz | |
406 | me.rng = rng | |
407 | def encode(me, msg, nbits): | |
408 | return _base._pss_encode(msg, nbits, me.mgf, me.hash, me.saltsz, me.rng) | |
409 | def decode(me, msg, sig, nbits): | |
410 | return _base._pss_decode(msg, sig, nbits, | |
00401529 | 411 | me.mgf, me.hash, me.saltsz, me.rng) |
d7ab1bab | 412 | |
413 | class _tmp: | |
414 | def encrypt(me, msg, enc): | |
415 | return me.pubop(enc.encode(msg, me.n.nbits)) | |
416 | def verify(me, msg, sig, enc): | |
417 | if msg is None: return enc.decode(msg, me.pubop(sig), me.n.nbits) | |
418 | try: | |
419 | x = enc.decode(msg, me.pubop(sig), me.n.nbits) | |
420 | return x is None or x == msg | |
421 | except ValueError: | |
b2687a0a | 422 | return False |
d7ab1bab | 423 | _augment(RSAPub, _tmp) |
424 | ||
425 | class _tmp: | |
426 | def decrypt(me, ct, enc): return enc.decode(me.privop(ct), me.n.nbits) | |
427 | def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits)) | |
428 | _augment(RSAPriv, _tmp) | |
429 | ||
00401529 MW |
430 | ###-------------------------------------------------------------------------- |
431 | ### Built-in named curves and prime groups. | |
ed8cc62d MW |
432 | |
433 | class _groupmap (object): | |
434 | def __init__(me, map, nth): | |
435 | me.map = map | |
436 | me.nth = nth | |
437 | me.i = [None] * (max(map.values()) + 1) | |
438 | def __repr__(me): | |
439 | return '{%s}' % ', '.join(['%r: %r' % (k, me[k]) for k in me]) | |
440 | def __contains__(me, k): | |
441 | return k in me.map | |
442 | def __getitem__(me, k): | |
443 | i = me.map[k] | |
444 | if me.i[i] is None: | |
445 | me.i[i] = me.nth(i) | |
446 | return me.i[i] | |
447 | def __setitem__(me, k, v): | |
448 | raise TypeError, "immutable object" | |
449 | def __iter__(me): | |
450 | return iter(me.map) | |
96851f5d MW |
451 | def iterkeys(me): |
452 | return iter(me.map) | |
453 | def itervalues(me): | |
454 | for k in me: | |
455 | yield me[k] | |
456 | def iteritems(me): | |
457 | for k in me: | |
458 | yield k, me[k] | |
ed8cc62d MW |
459 | def keys(me): |
460 | return [k for k in me] | |
461 | def values(me): | |
462 | return [me[k] for k in me] | |
96851f5d MW |
463 | def items(me): |
464 | return [(k, me[k]) for k in me] | |
ed8cc62d MW |
465 | eccurves = _groupmap(_base._eccurves, ECInfo._curven) |
466 | primegroups = _groupmap(_base._pgroups, DHInfo._groupn) | |
467 | bingroups = _groupmap(_base._bingroups, BinDHInfo._groupn) | |
468 | ||
00401529 MW |
469 | ###-------------------------------------------------------------------------- |
470 | ### Prime number generation. | |
ed8cc62d MW |
471 | |
472 | class PrimeGenEventHandler (object): | |
473 | def pg_begin(me, ev): | |
474 | return me.pg_try(ev) | |
475 | def pg_done(me, ev): | |
476 | return PGEN_DONE | |
477 | def pg_abort(me, ev): | |
478 | return PGEN_TRY | |
479 | def pg_fail(me, ev): | |
480 | return PGEN_TRY | |
481 | def pg_pass(me, ev): | |
482 | return PGEN_TRY | |
d7ab1bab | 483 | |
484 | class SophieGermainStepJump (object): | |
485 | def pg_begin(me, ev): | |
486 | me.lf = PrimeFilter(ev.x) | |
487 | me.hf = me.lf.muladd(2, 1) | |
488 | return me.cont(ev) | |
489 | def pg_try(me, ev): | |
490 | me.step() | |
491 | return me.cont(ev) | |
492 | def cont(me, ev): | |
493 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: | |
494 | me.step() | |
495 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: | |
496 | return PGEN_ABORT | |
497 | ev.x = me.lf.x | |
498 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: | |
499 | return PGEN_DONE | |
500 | return PGEN_TRY | |
501 | def pg_done(me, ev): | |
502 | del me.lf | |
503 | del me.hf | |
504 | ||
505 | class SophieGermainStepper (SophieGermainStepJump): | |
506 | def __init__(me, step): | |
507 | me.lstep = step; | |
508 | me.hstep = 2 * step | |
509 | def step(me): | |
510 | me.lf.step(me.lstep) | |
511 | me.hf.step(me.hstep) | |
512 | ||
513 | class SophieGermainJumper (SophieGermainStepJump): | |
514 | def __init__(me, jump): | |
515 | me.ljump = PrimeFilter(jump); | |
516 | me.hjump = me.ljump.muladd(2, 0) | |
517 | def step(me): | |
518 | me.lf.jump(me.ljump) | |
519 | me.hf.jump(me.hjump) | |
520 | def pg_done(me, ev): | |
521 | del me.ljump | |
522 | del me.hjump | |
523 | SophieGermainStepJump.pg_done(me, ev) | |
524 | ||
525 | class SophieGermainTester (object): | |
526 | def __init__(me): | |
527 | pass | |
528 | def pg_begin(me, ev): | |
529 | me.lr = RabinMiller(ev.x) | |
530 | me.hr = RabinMiller(2 * ev.x + 1) | |
531 | def pg_try(me, ev): | |
532 | lst = me.lr.test(ev.rng.range(me.lr.x)) | |
533 | if lst != PGEN_PASS and lst != PGEN_DONE: | |
534 | return lst | |
535 | rst = me.hr.test(ev.rng.range(me.hr.x)) | |
536 | if rst != PGEN_PASS and rst != PGEN_DONE: | |
537 | return rst | |
538 | if lst == PGEN_DONE and rst == PGEN_DONE: | |
539 | return PGEN_DONE | |
540 | return PGEN_PASS | |
541 | def pg_done(me, ev): | |
542 | del me.lr | |
543 | del me.hr | |
544 | ||
d7ab1bab | 545 | class PrimitiveStepper (PrimeGenEventHandler): |
546 | def __init__(me): | |
547 | pass | |
548 | def pg_try(me, ev): | |
549 | ev.x = me.i.next() | |
550 | return PGEN_TRY | |
551 | def pg_begin(me, ev): | |
552 | me.i = iter(smallprimes) | |
553 | return me.pg_try(ev) | |
554 | ||
555 | class PrimitiveTester (PrimeGenEventHandler): | |
556 | def __init__(me, mod, hh = [], exp = None): | |
557 | me.mod = MPMont(mod) | |
558 | me.exp = exp | |
559 | me.hh = hh | |
560 | def pg_try(me, ev): | |
561 | x = ev.x | |
562 | if me.exp is not None: | |
563 | x = me.mod.exp(x, me.exp) | |
564 | if x == 1: return PGEN_FAIL | |
565 | for h in me.hh: | |
566 | if me.mod.exp(x, h) == 1: return PGEN_FAIL | |
567 | ev.x = x | |
568 | return PGEN_DONE | |
569 | ||
570 | class SimulStepper (PrimeGenEventHandler): | |
571 | def __init__(me, mul = 2, add = 1, step = 2): | |
572 | me.step = step | |
573 | me.mul = mul | |
574 | me.add = add | |
575 | def _stepfn(me, step): | |
576 | if step <= 0: | |
577 | raise ValueError, 'step must be positive' | |
578 | if step <= MPW_MAX: | |
579 | return lambda f: f.step(step) | |
580 | j = PrimeFilter(step) | |
581 | return lambda f: f.jump(j) | |
582 | def pg_begin(me, ev): | |
583 | x = ev.x | |
584 | me.lf = PrimeFilter(x) | |
585 | me.hf = PrimeFilter(x * me.mul + me.add) | |
586 | me.lstep = me._stepfn(me.step) | |
587 | me.hstep = me._stepfn(me.step * me.mul) | |
588 | SimulStepper._cont(me, ev) | |
589 | def pg_try(me, ev): | |
590 | me._step() | |
591 | me._cont(ev) | |
592 | def _step(me): | |
593 | me.lstep(me.lf) | |
594 | me.hstep(me.hf) | |
595 | def _cont(me, ev): | |
596 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: | |
597 | me._step() | |
598 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: | |
599 | return PGEN_ABORT | |
600 | ev.x = me.lf.x | |
601 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: | |
602 | return PGEN_DONE | |
603 | return PGEN_TRY | |
604 | def pg_done(me, ev): | |
605 | del me.lf | |
606 | del me.hf | |
607 | del me.lstep | |
608 | del me.hstep | |
609 | ||
610 | class SimulTester (PrimeGenEventHandler): | |
611 | def __init__(me, mul = 2, add = 1): | |
612 | me.mul = mul | |
613 | me.add = add | |
614 | def pg_begin(me, ev): | |
615 | x = ev.x | |
616 | me.lr = RabinMiller(x) | |
617 | me.hr = RabinMiller(x * me.mul + me.add) | |
618 | def pg_try(me, ev): | |
619 | lst = me.lr.test(ev.rng.range(me.lr.x)) | |
620 | if lst != PGEN_PASS and lst != PGEN_DONE: | |
621 | return lst | |
622 | rst = me.hr.test(ev.rng.range(me.hr.x)) | |
623 | if rst != PGEN_PASS and rst != PGEN_DONE: | |
624 | return rst | |
625 | if lst == PGEN_DONE and rst == PGEN_DONE: | |
626 | return PGEN_DONE | |
627 | return PGEN_PASS | |
628 | def pg_done(me, ev): | |
629 | del me.lr | |
630 | del me.hr | |
631 | ||
632 | def sgprime(start, step = 2, name = 'p', event = pgen_nullev, nsteps = 0): | |
633 | start = MP(start) | |
634 | return pgen(start, name, SimulStepper(step = step), SimulTester(), event, | |
00401529 | 635 | nsteps, RabinMiller.iters(start.nbits)) |
d7ab1bab | 636 | |
637 | def findprimitive(mod, hh = [], exp = None, name = 'g', event = pgen_nullev): | |
638 | return pgen(0, name, PrimitiveStepper(), PrimitiveTester(mod, hh, exp), | |
00401529 | 639 | event, 0, 1) |
d7ab1bab | 640 | |
641 | def kcdsaprime(pbits, qbits, rng = rand, | |
00401529 | 642 | event = pgen_nullev, name = 'p', nsteps = 0): |
d7ab1bab | 643 | hbits = pbits - qbits |
644 | h = pgen(rng.mp(hbits, 1), name + ' [h]', | |
00401529 MW |
645 | PrimeGenStepper(2), PrimeGenTester(), |
646 | event, nsteps, RabinMiller.iters(hbits)) | |
d7ab1bab | 647 | q = pgen(rng.mp(qbits, 1), name, SimulStepper(2 * h, 1, 2), |
00401529 | 648 | SimulTester(2 * h, 1), event, nsteps, RabinMiller.iters(qbits)) |
d7ab1bab | 649 | p = 2 * q * h + 1 |
650 | return p, q, h | |
651 | ||
652 | #----- That's all, folks ---------------------------------------------------- |