Commit | Line | Data |
---|---|---|
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) | |
bfb450cc | 97 | ByteString.__hash__ = str.__hash__ |
d7ab1bab | 98 | bytes = ByteString.fromhex |
99 | ||
00401529 | 100 | ###-------------------------------------------------------------------------- |
bfb450cc MW |
101 | ### Hashing. |
102 | ||
103 | class _tmp: | |
104 | def check(me, h): | |
105 | hh = me.done() | |
106 | return ctstreq(h, hh) | |
107 | _augment(GHash, _tmp) | |
108 | _augment(Poly1305Hash, _tmp) | |
109 | ||
110 | ###-------------------------------------------------------------------------- | |
00401529 | 111 | ### Multiprecision integers and binary polynomials. |
ed8cc62d | 112 | |
2ef393b5 | 113 | def _split_rat(x): |
83c77564 | 114 | if isinstance(x, BaseRat): return x._n, x._d |
2ef393b5 | 115 | else: return x, 1 |
83c77564 MW |
116 | class BaseRat (object): |
117 | """Base class implementing fields of fractions over Euclidean domains.""" | |
2ef393b5 | 118 | def __new__(cls, a, b): |
83c77564 | 119 | a, b = cls.RING(a), cls.RING(b) |
2ef393b5 MW |
120 | q, r = divmod(a, b) |
121 | if r == 0: return q | |
122 | g = b.gcd(r) | |
83c77564 | 123 | me = super(BaseRat, cls).__new__(cls) |
2ef393b5 MW |
124 | me._n = a//g |
125 | me._d = b//g | |
126 | return me | |
127 | @property | |
128 | def numer(me): return me._n | |
129 | @property | |
130 | def denom(me): return me._d | |
131 | def __str__(me): return '%s/%s' % (me._n, me._d) | |
83c77564 | 132 | def __repr__(me): return '%s(%s, %s)' % (type(me).__name__, me._n, me._d) |
2ef393b5 MW |
133 | |
134 | def __add__(me, you): | |
135 | n, d = _split_rat(you) | |
83c77564 | 136 | return type(me)(me._n*d + n*me._d, d*me._d) |
2ef393b5 MW |
137 | __radd__ = __add__ |
138 | def __sub__(me, you): | |
139 | n, d = _split_rat(you) | |
83c77564 | 140 | return type(me)(me._n*d - n*me._d, d*me._d) |
2ef393b5 MW |
141 | def __rsub__(me, you): |
142 | n, d = _split_rat(you) | |
83c77564 | 143 | return type(me)(n*me._d - me._n*d, d*me._d) |
2ef393b5 MW |
144 | def __mul__(me, you): |
145 | n, d = _split_rat(you) | |
83c77564 | 146 | return type(me)(me._n*n, me._d*d) |
2ef393b5 MW |
147 | def __div__(me, you): |
148 | n, d = _split_rat(you) | |
83c77564 | 149 | return type(me)(me._n*d, me._d*n) |
2ef393b5 MW |
150 | def __rdiv__(me, you): |
151 | n, d = _split_rat(you) | |
83c77564 | 152 | return type(me)(me._d*n, me._n*d) |
2ef393b5 MW |
153 | def __cmp__(me, you): |
154 | n, d = _split_rat(you) | |
83c77564 | 155 | return type(me)(me._n*d, n*me._d) |
2ef393b5 MW |
156 | def __rcmp__(me, you): |
157 | n, d = _split_rat(you) | |
158 | return cmp(n*me._d, me._n*d) | |
159 | ||
83c77564 MW |
160 | class IntRat (BaseRat): |
161 | RING = MP | |
162 | ||
163 | class GFRat (BaseRat): | |
164 | RING = GF | |
165 | ||
d7ab1bab | 166 | class _tmp: |
167 | def negp(x): return x < 0 | |
168 | def posp(x): return x > 0 | |
169 | def zerop(x): return x == 0 | |
170 | def oddp(x): return x.testbit(0) | |
171 | def evenp(x): return not x.testbit(0) | |
172 | def mont(x): return MPMont(x) | |
173 | def barrett(x): return MPBarrett(x) | |
174 | def reduce(x): return MPReduce(x) | |
83c77564 MW |
175 | def __div__(me, you): return IntRat(me, you) |
176 | def __rdiv__(me, you): return IntRat(you, me) | |
d7ab1bab | 177 | _augment(MP, _tmp) |
178 | ||
d7ab1bab | 179 | class _tmp: |
fbc145f3 | 180 | def zerop(x): return x == 0 |
ed8cc62d | 181 | def reduce(x): return GFReduce(x) |
fbc145f3 MW |
182 | def trace(x, y): return x.reduce().trace(y) |
183 | def halftrace(x, y): return x.reduce().halftrace(y) | |
184 | def modsqrt(x, y): return x.reduce().sqrt(y) | |
185 | def quadsolve(x, y): return x.reduce().quadsolve(y) | |
83c77564 MW |
186 | def __div__(me, you): return GFRat(me, you) |
187 | def __rdiv__(me, you): return GFRat(you, me) | |
d7ab1bab | 188 | _augment(GF, _tmp) |
189 | ||
ed8cc62d MW |
190 | class _tmp: |
191 | def product(*arg): | |
192 | 'product(ITERABLE) or product(I, ...) -> PRODUCT' | |
193 | return MPMul(*arg).done() | |
194 | product = staticmethod(product) | |
195 | _augment(MPMul, _tmp) | |
196 | ||
00401529 MW |
197 | ###-------------------------------------------------------------------------- |
198 | ### Abstract fields. | |
ed8cc62d | 199 | |
d7ab1bab | 200 | class _tmp: |
201 | def fromstring(str): return _checkend(Field.parse(str)) | |
202 | fromstring = staticmethod(fromstring) | |
203 | _augment(Field, _tmp) | |
204 | ||
205 | class _tmp: | |
206 | def __repr__(me): return '%s(%sL)' % (type(me).__name__, me.p) | |
6d481bc6 | 207 | def __hash__(me): return 0x114401de ^ hash(me.p) |
d7ab1bab | 208 | def ec(me, a, b): return ECPrimeProjCurve(me, a, b) |
209 | _augment(PrimeField, _tmp) | |
210 | ||
211 | class _tmp: | |
212 | def __repr__(me): return '%s(%sL)' % (type(me).__name__, hex(me.p)) | |
213 | def ec(me, a, b): return ECBinProjCurve(me, a, b) | |
214 | _augment(BinField, _tmp) | |
215 | ||
6d481bc6 MW |
216 | class _tmp: |
217 | def __hash__(me): return 0x23e4701c ^ hash(me.p) | |
218 | _augment(BinPolyField, _tmp) | |
219 | ||
220 | class _tmp: | |
221 | def __hash__(me): | |
222 | h = 0x9a7d6240 | |
223 | h ^= hash(me.p) | |
224 | h ^= 2*hash(me.beta) & 0xffffffff | |
225 | return h | |
226 | _augment(BinNormField, _tmp) | |
227 | ||
d7ab1bab | 228 | class _tmp: |
229 | def __str__(me): return str(me.value) | |
230 | def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value)) | |
231 | _augment(FE, _tmp) | |
232 | ||
00401529 MW |
233 | ###-------------------------------------------------------------------------- |
234 | ### Elliptic curves. | |
d7ab1bab | 235 | |
236 | class _tmp: | |
237 | def __repr__(me): | |
238 | return '%s(%r, %s, %s)' % (type(me).__name__, me.field, me.a, me.b) | |
239 | def frombuf(me, s): | |
240 | return ecpt.frombuf(me, s) | |
241 | def fromraw(me, s): | |
242 | return ecpt.fromraw(me, s) | |
243 | def pt(me, *args): | |
5f959e50 | 244 | return me(*args) |
d7ab1bab | 245 | _augment(ECCurve, _tmp) |
246 | ||
6d481bc6 MW |
247 | class _tmp: |
248 | def __hash__(me): | |
249 | h = 0x6751d341 | |
250 | h ^= hash(me.field) | |
251 | h ^= 2*hash(me.a) ^ 0xffffffff | |
252 | h ^= 5*hash(me.b) ^ 0xffffffff | |
253 | return h | |
254 | _augment(ECPrimeCurve, _tmp) | |
255 | ||
256 | class _tmp: | |
257 | def __hash__(me): | |
258 | h = 0x2ac203c5 | |
259 | h ^= hash(me.field) | |
260 | h ^= 2*hash(me.a) ^ 0xffffffff | |
261 | h ^= 5*hash(me.b) ^ 0xffffffff | |
262 | return h | |
263 | _augment(ECBinCurve, _tmp) | |
264 | ||
d7ab1bab | 265 | class _tmp: |
266 | def __repr__(me): | |
267 | if not me: return 'ECPt()' | |
268 | return 'ECPt(%s, %s)' % (me.ix, me.iy) | |
269 | def __str__(me): | |
270 | if not me: return 'inf' | |
271 | return '(%s, %s)' % (me.ix, me.iy) | |
272 | _augment(ECPt, _tmp) | |
273 | ||
274 | class _tmp: | |
275 | def __repr__(me): | |
276 | return 'ECInfo(curve = %r, G = %r, r = %s, h = %s)' % \ | |
00401529 | 277 | (me.curve, me.G, me.r, me.h) |
6d481bc6 MW |
278 | def __hash__(me): |
279 | h = 0x9bedb8de | |
280 | h ^= hash(me.curve) | |
281 | h ^= 2*hash(me.G) & 0xffffffff | |
282 | return h | |
d7ab1bab | 283 | def group(me): |
284 | return ECGroup(me) | |
285 | _augment(ECInfo, _tmp) | |
286 | ||
287 | class _tmp: | |
288 | def __repr__(me): | |
289 | if not me: return '%r()' % (me.curve) | |
290 | return '%r(%s, %s)' % (me.curve, me.x, me.y) | |
291 | def __str__(me): | |
292 | if not me: return 'inf' | |
293 | return '(%s, %s)' % (me.x, me.y) | |
294 | _augment(ECPtCurve, _tmp) | |
295 | ||
00401529 MW |
296 | ###-------------------------------------------------------------------------- |
297 | ### Key sizes. | |
ed8cc62d | 298 | |
d7ab1bab | 299 | class _tmp: |
300 | def __repr__(me): return 'KeySZAny(%d)' % me.default | |
301 | def check(me, sz): return True | |
302 | def best(me, sz): return sz | |
303 | _augment(KeySZAny, _tmp) | |
304 | ||
305 | class _tmp: | |
306 | def __repr__(me): | |
307 | return 'KeySZRange(%d, %d, %d, %d)' % \ | |
00401529 | 308 | (me.default, me.min, me.max, me.mod) |
d7ab1bab | 309 | def check(me, sz): return me.min <= sz <= me.max and sz % me.mod == 0 |
310 | def best(me, sz): | |
311 | if sz < me.min: raise ValueError, 'key too small' | |
312 | elif sz > me.max: return me.max | |
313 | else: return sz - (sz % me.mod) | |
314 | _augment(KeySZRange, _tmp) | |
315 | ||
316 | class _tmp: | |
317 | def __repr__(me): return 'KeySZSet(%d, %s)' % (me.default, me.set) | |
318 | def check(me, sz): return sz in me.set | |
319 | def best(me, sz): | |
320 | found = -1 | |
321 | for i in me.set: | |
322 | if found < i <= sz: found = i | |
323 | if found < 0: raise ValueError, 'key too small' | |
324 | return found | |
325 | _augment(KeySZSet, _tmp) | |
326 | ||
00401529 MW |
327 | ###-------------------------------------------------------------------------- |
328 | ### Abstract groups. | |
ed8cc62d | 329 | |
d7ab1bab | 330 | class _tmp: |
331 | def __repr__(me): | |
332 | return '%s(p = %s, r = %s, g = %s)' % \ | |
00401529 | 333 | (type(me).__name__, me.p, me.r, me.g) |
d7ab1bab | 334 | _augment(FGInfo, _tmp) |
335 | ||
336 | class _tmp: | |
337 | def group(me): return PrimeGroup(me) | |
338 | _augment(DHInfo, _tmp) | |
339 | ||
340 | class _tmp: | |
341 | def group(me): return BinGroup(me) | |
342 | _augment(BinDHInfo, _tmp) | |
343 | ||
344 | class _tmp: | |
345 | def __repr__(me): | |
346 | return '%s(%r)' % (type(me).__name__, me.info) | |
347 | _augment(Group, _tmp) | |
348 | ||
6d481bc6 MW |
349 | class _tmp: |
350 | def __hash__(me): | |
351 | info = me.info | |
352 | h = 0xbce3cfe6 | |
353 | h ^= hash(info.p) | |
354 | h ^= 2*hash(info.r) & 0xffffffff | |
355 | h ^= 5*hash(info.g) & 0xffffffff | |
356 | return h | |
357 | _augment(PrimeGroup, _tmp) | |
358 | ||
359 | class _tmp: | |
360 | def __hash__(me): | |
361 | info = me.info | |
362 | h = 0x80695949 | |
363 | h ^= hash(info.p) | |
364 | h ^= 2*hash(info.r) & 0xffffffff | |
365 | h ^= 5*hash(info.g) & 0xffffffff | |
366 | return h | |
367 | _augment(BinGroup, _tmp) | |
368 | ||
369 | class _tmp: | |
370 | def __hash__(me): return 0x0ec23dab ^ hash(me.info) | |
371 | _augment(ECGroup, _tmp) | |
372 | ||
d7ab1bab | 373 | class _tmp: |
374 | def __repr__(me): | |
375 | return '%r(%r)' % (me.group, str(me)) | |
376 | _augment(GE, _tmp) | |
377 | ||
00401529 MW |
378 | ###-------------------------------------------------------------------------- |
379 | ### RSA encoding techniques. | |
ed8cc62d MW |
380 | |
381 | class PKCS1Crypt (object): | |
d7ab1bab | 382 | def __init__(me, ep = '', rng = rand): |
383 | me.ep = ep | |
384 | me.rng = rng | |
385 | def encode(me, msg, nbits): | |
386 | return _base._p1crypt_encode(msg, nbits, me.ep, me.rng) | |
387 | def decode(me, ct, nbits): | |
388 | return _base._p1crypt_decode(ct, nbits, me.ep, me.rng) | |
389 | ||
ed8cc62d | 390 | class PKCS1Sig (object): |
d7ab1bab | 391 | def __init__(me, ep = '', rng = rand): |
392 | me.ep = ep | |
393 | me.rng = rng | |
394 | def encode(me, msg, nbits): | |
395 | return _base._p1sig_encode(msg, nbits, me.ep, me.rng) | |
396 | def decode(me, msg, sig, nbits): | |
397 | return _base._p1sig_decode(msg, sig, nbits, me.ep, me.rng) | |
398 | ||
ed8cc62d | 399 | class OAEP (object): |
d7ab1bab | 400 | def __init__(me, mgf = sha_mgf, hash = sha, ep = '', rng = rand): |
401 | me.mgf = mgf | |
402 | me.hash = hash | |
403 | me.ep = ep | |
404 | me.rng = rng | |
405 | def encode(me, msg, nbits): | |
406 | return _base._oaep_encode(msg, nbits, me.mgf, me.hash, me.ep, me.rng) | |
407 | def decode(me, ct, nbits): | |
408 | return _base._oaep_decode(ct, nbits, me.mgf, me.hash, me.ep, me.rng) | |
409 | ||
ed8cc62d | 410 | class PSS (object): |
d7ab1bab | 411 | def __init__(me, mgf = sha_mgf, hash = sha, saltsz = None, rng = rand): |
412 | me.mgf = mgf | |
413 | me.hash = hash | |
414 | if saltsz is None: | |
415 | saltsz = hash.hashsz | |
416 | me.saltsz = saltsz | |
417 | me.rng = rng | |
418 | def encode(me, msg, nbits): | |
419 | return _base._pss_encode(msg, nbits, me.mgf, me.hash, me.saltsz, me.rng) | |
420 | def decode(me, msg, sig, nbits): | |
421 | return _base._pss_decode(msg, sig, nbits, | |
00401529 | 422 | me.mgf, me.hash, me.saltsz, me.rng) |
d7ab1bab | 423 | |
424 | class _tmp: | |
425 | def encrypt(me, msg, enc): | |
426 | return me.pubop(enc.encode(msg, me.n.nbits)) | |
427 | def verify(me, msg, sig, enc): | |
428 | if msg is None: return enc.decode(msg, me.pubop(sig), me.n.nbits) | |
429 | try: | |
430 | x = enc.decode(msg, me.pubop(sig), me.n.nbits) | |
431 | return x is None or x == msg | |
432 | except ValueError: | |
b2687a0a | 433 | return False |
d7ab1bab | 434 | _augment(RSAPub, _tmp) |
435 | ||
436 | class _tmp: | |
437 | def decrypt(me, ct, enc): return enc.decode(me.privop(ct), me.n.nbits) | |
438 | def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits)) | |
439 | _augment(RSAPriv, _tmp) | |
440 | ||
00401529 MW |
441 | ###-------------------------------------------------------------------------- |
442 | ### Built-in named curves and prime groups. | |
ed8cc62d MW |
443 | |
444 | class _groupmap (object): | |
445 | def __init__(me, map, nth): | |
446 | me.map = map | |
447 | me.nth = nth | |
448 | me.i = [None] * (max(map.values()) + 1) | |
449 | def __repr__(me): | |
450 | return '{%s}' % ', '.join(['%r: %r' % (k, me[k]) for k in me]) | |
451 | def __contains__(me, k): | |
452 | return k in me.map | |
453 | def __getitem__(me, k): | |
454 | i = me.map[k] | |
455 | if me.i[i] is None: | |
456 | me.i[i] = me.nth(i) | |
457 | return me.i[i] | |
458 | def __setitem__(me, k, v): | |
459 | raise TypeError, "immutable object" | |
460 | def __iter__(me): | |
461 | return iter(me.map) | |
96851f5d MW |
462 | def iterkeys(me): |
463 | return iter(me.map) | |
464 | def itervalues(me): | |
465 | for k in me: | |
466 | yield me[k] | |
467 | def iteritems(me): | |
468 | for k in me: | |
469 | yield k, me[k] | |
ed8cc62d MW |
470 | def keys(me): |
471 | return [k for k in me] | |
472 | def values(me): | |
473 | return [me[k] for k in me] | |
96851f5d MW |
474 | def items(me): |
475 | return [(k, me[k]) for k in me] | |
ed8cc62d MW |
476 | eccurves = _groupmap(_base._eccurves, ECInfo._curven) |
477 | primegroups = _groupmap(_base._pgroups, DHInfo._groupn) | |
478 | bingroups = _groupmap(_base._bingroups, BinDHInfo._groupn) | |
479 | ||
00401529 MW |
480 | ###-------------------------------------------------------------------------- |
481 | ### Prime number generation. | |
ed8cc62d MW |
482 | |
483 | class PrimeGenEventHandler (object): | |
484 | def pg_begin(me, ev): | |
485 | return me.pg_try(ev) | |
486 | def pg_done(me, ev): | |
487 | return PGEN_DONE | |
488 | def pg_abort(me, ev): | |
489 | return PGEN_TRY | |
490 | def pg_fail(me, ev): | |
491 | return PGEN_TRY | |
492 | def pg_pass(me, ev): | |
493 | return PGEN_TRY | |
d7ab1bab | 494 | |
495 | class SophieGermainStepJump (object): | |
496 | def pg_begin(me, ev): | |
497 | me.lf = PrimeFilter(ev.x) | |
498 | me.hf = me.lf.muladd(2, 1) | |
499 | return me.cont(ev) | |
500 | def pg_try(me, ev): | |
501 | me.step() | |
502 | return me.cont(ev) | |
503 | def cont(me, ev): | |
504 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: | |
505 | me.step() | |
506 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: | |
507 | return PGEN_ABORT | |
508 | ev.x = me.lf.x | |
509 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: | |
510 | return PGEN_DONE | |
511 | return PGEN_TRY | |
512 | def pg_done(me, ev): | |
513 | del me.lf | |
514 | del me.hf | |
515 | ||
516 | class SophieGermainStepper (SophieGermainStepJump): | |
517 | def __init__(me, step): | |
518 | me.lstep = step; | |
519 | me.hstep = 2 * step | |
520 | def step(me): | |
521 | me.lf.step(me.lstep) | |
522 | me.hf.step(me.hstep) | |
523 | ||
524 | class SophieGermainJumper (SophieGermainStepJump): | |
525 | def __init__(me, jump): | |
526 | me.ljump = PrimeFilter(jump); | |
527 | me.hjump = me.ljump.muladd(2, 0) | |
528 | def step(me): | |
529 | me.lf.jump(me.ljump) | |
530 | me.hf.jump(me.hjump) | |
531 | def pg_done(me, ev): | |
532 | del me.ljump | |
533 | del me.hjump | |
534 | SophieGermainStepJump.pg_done(me, ev) | |
535 | ||
536 | class SophieGermainTester (object): | |
537 | def __init__(me): | |
538 | pass | |
539 | def pg_begin(me, ev): | |
540 | me.lr = RabinMiller(ev.x) | |
541 | me.hr = RabinMiller(2 * ev.x + 1) | |
542 | def pg_try(me, ev): | |
543 | lst = me.lr.test(ev.rng.range(me.lr.x)) | |
544 | if lst != PGEN_PASS and lst != PGEN_DONE: | |
545 | return lst | |
546 | rst = me.hr.test(ev.rng.range(me.hr.x)) | |
547 | if rst != PGEN_PASS and rst != PGEN_DONE: | |
548 | return rst | |
549 | if lst == PGEN_DONE and rst == PGEN_DONE: | |
550 | return PGEN_DONE | |
551 | return PGEN_PASS | |
552 | def pg_done(me, ev): | |
553 | del me.lr | |
554 | del me.hr | |
555 | ||
d7ab1bab | 556 | class PrimitiveStepper (PrimeGenEventHandler): |
557 | def __init__(me): | |
558 | pass | |
559 | def pg_try(me, ev): | |
560 | ev.x = me.i.next() | |
561 | return PGEN_TRY | |
562 | def pg_begin(me, ev): | |
563 | me.i = iter(smallprimes) | |
564 | return me.pg_try(ev) | |
565 | ||
566 | class PrimitiveTester (PrimeGenEventHandler): | |
567 | def __init__(me, mod, hh = [], exp = None): | |
568 | me.mod = MPMont(mod) | |
569 | me.exp = exp | |
570 | me.hh = hh | |
571 | def pg_try(me, ev): | |
572 | x = ev.x | |
573 | if me.exp is not None: | |
574 | x = me.mod.exp(x, me.exp) | |
575 | if x == 1: return PGEN_FAIL | |
576 | for h in me.hh: | |
577 | if me.mod.exp(x, h) == 1: return PGEN_FAIL | |
578 | ev.x = x | |
579 | return PGEN_DONE | |
580 | ||
581 | class SimulStepper (PrimeGenEventHandler): | |
582 | def __init__(me, mul = 2, add = 1, step = 2): | |
583 | me.step = step | |
584 | me.mul = mul | |
585 | me.add = add | |
586 | def _stepfn(me, step): | |
587 | if step <= 0: | |
588 | raise ValueError, 'step must be positive' | |
589 | if step <= MPW_MAX: | |
590 | return lambda f: f.step(step) | |
591 | j = PrimeFilter(step) | |
592 | return lambda f: f.jump(j) | |
593 | def pg_begin(me, ev): | |
594 | x = ev.x | |
595 | me.lf = PrimeFilter(x) | |
596 | me.hf = PrimeFilter(x * me.mul + me.add) | |
597 | me.lstep = me._stepfn(me.step) | |
598 | me.hstep = me._stepfn(me.step * me.mul) | |
599 | SimulStepper._cont(me, ev) | |
600 | def pg_try(me, ev): | |
601 | me._step() | |
602 | me._cont(ev) | |
603 | def _step(me): | |
604 | me.lstep(me.lf) | |
605 | me.hstep(me.hf) | |
606 | def _cont(me, ev): | |
607 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: | |
608 | me._step() | |
609 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: | |
610 | return PGEN_ABORT | |
611 | ev.x = me.lf.x | |
612 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: | |
613 | return PGEN_DONE | |
614 | return PGEN_TRY | |
615 | def pg_done(me, ev): | |
616 | del me.lf | |
617 | del me.hf | |
618 | del me.lstep | |
619 | del me.hstep | |
620 | ||
621 | class SimulTester (PrimeGenEventHandler): | |
622 | def __init__(me, mul = 2, add = 1): | |
623 | me.mul = mul | |
624 | me.add = add | |
625 | def pg_begin(me, ev): | |
626 | x = ev.x | |
627 | me.lr = RabinMiller(x) | |
628 | me.hr = RabinMiller(x * me.mul + me.add) | |
629 | def pg_try(me, ev): | |
630 | lst = me.lr.test(ev.rng.range(me.lr.x)) | |
631 | if lst != PGEN_PASS and lst != PGEN_DONE: | |
632 | return lst | |
633 | rst = me.hr.test(ev.rng.range(me.hr.x)) | |
634 | if rst != PGEN_PASS and rst != PGEN_DONE: | |
635 | return rst | |
636 | if lst == PGEN_DONE and rst == PGEN_DONE: | |
637 | return PGEN_DONE | |
638 | return PGEN_PASS | |
639 | def pg_done(me, ev): | |
640 | del me.lr | |
641 | del me.hr | |
642 | ||
643 | def sgprime(start, step = 2, name = 'p', event = pgen_nullev, nsteps = 0): | |
644 | start = MP(start) | |
645 | return pgen(start, name, SimulStepper(step = step), SimulTester(), event, | |
00401529 | 646 | nsteps, RabinMiller.iters(start.nbits)) |
d7ab1bab | 647 | |
648 | def findprimitive(mod, hh = [], exp = None, name = 'g', event = pgen_nullev): | |
649 | return pgen(0, name, PrimitiveStepper(), PrimitiveTester(mod, hh, exp), | |
00401529 | 650 | event, 0, 1) |
d7ab1bab | 651 | |
652 | def kcdsaprime(pbits, qbits, rng = rand, | |
00401529 | 653 | event = pgen_nullev, name = 'p', nsteps = 0): |
d7ab1bab | 654 | hbits = pbits - qbits |
655 | h = pgen(rng.mp(hbits, 1), name + ' [h]', | |
00401529 MW |
656 | PrimeGenStepper(2), PrimeGenTester(), |
657 | event, nsteps, RabinMiller.iters(hbits)) | |
d7ab1bab | 658 | q = pgen(rng.mp(qbits, 1), name, SimulStepper(2 * h, 1, 2), |
00401529 | 659 | SimulTester(2 * h, 1), event, nsteps, RabinMiller.iters(qbits)) |
d7ab1bab | 660 | p = 2 * q * h + 1 |
661 | return p, q, h | |
662 | ||
663 | #----- That's all, folks ---------------------------------------------------- |