bytestring.c: Check for cached hash more carefully.
[catacomb-python] / catacomb / __init__.py
CommitLineData
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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 26import _base
27import types as _types
28from binascii import hexlify as _hexify, unhexlify as _unhexify
46e6ad89 29from sys import argv as _argv
30
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31###--------------------------------------------------------------------------
32### Basic stuff.
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33
34## For the benefit of the default keyreporter, we need the program na,e.
46e6ad89 35_base._ego(_argv[0])
d7ab1bab 36
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37## Initialize the module. Drag in the static methods of the various
38## classes; create names for the various known crypto algorithms.
d7ab1bab 39def _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',
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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]))
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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
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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 67def _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
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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.
79def _checkend(r):
80 x, rest = r
81 if rest != '':
82 raise SyntaxError, 'junk at end of string'
83 return x
84
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85###--------------------------------------------------------------------------
86### Bytestrings.
ed8cc62d 87
d7ab1bab 88class _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)
97bytes = ByteString.fromhex
98
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99###--------------------------------------------------------------------------
100### Multiprecision integers and binary polynomials.
ed8cc62d 101
2ef393b5 102def _split_rat(x):
83c77564 103 if isinstance(x, BaseRat): return x._n, x._d
2ef393b5 104 else: return x, 1
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105class 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)
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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)
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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)
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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)
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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)
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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)
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133 def __mul__(me, you):
134 n, d = _split_rat(you)
83c77564 135 return type(me)(me._n*n, me._d*d)
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136 def __div__(me, you):
137 n, d = _split_rat(you)
83c77564 138 return type(me)(me._n*d, me._d*n)
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139 def __rdiv__(me, you):
140 n, d = _split_rat(you)
83c77564 141 return type(me)(me._d*n, me._n*d)
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142 def __cmp__(me, you):
143 n, d = _split_rat(you)
83c77564 144 return type(me)(me._n*d, n*me._d)
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145 def __rcmp__(me, you):
146 n, d = _split_rat(you)
147 return cmp(n*me._d, me._n*d)
148
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149class IntRat (BaseRat):
150 RING = MP
151
152class GFRat (BaseRat):
153 RING = GF
154
d7ab1bab 155class _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)
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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 168class _tmp:
fbc145f3 169 def zerop(x): return x == 0
ed8cc62d 170 def reduce(x): return GFReduce(x)
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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)
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175 def __div__(me, you): return GFRat(me, you)
176 def __rdiv__(me, you): return GFRat(you, me)
d7ab1bab 177_augment(GF, _tmp)
178
179class _tmp:
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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
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186###--------------------------------------------------------------------------
187### Abstract fields.
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188
189class _tmp:
d7ab1bab 190 def fromstring(str): return _checkend(Field.parse(str))
191 fromstring = staticmethod(fromstring)
192_augment(Field, _tmp)
193
194class _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
200class _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
205class _tmp:
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206 def __hash__(me): return 0x23e4701c ^ hash(me.p)
207_augment(BinPolyField, _tmp)
208
209class _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
217class _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
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222###--------------------------------------------------------------------------
223### Elliptic curves.
d7ab1bab 224
225class _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
236class _tmp:
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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
245class _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
254class _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
263class _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)
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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
276class _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
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285###--------------------------------------------------------------------------
286### Key sizes.
ed8cc62d 287
d7ab1bab 288class _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
294class _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
305class _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
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316###--------------------------------------------------------------------------
317### Abstract groups.
ed8cc62d 318
d7ab1bab 319class _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
325class _tmp:
326 def group(me): return PrimeGroup(me)
327_augment(DHInfo, _tmp)
328
329class _tmp:
330 def group(me): return BinGroup(me)
331_augment(BinDHInfo, _tmp)
332
333class _tmp:
334 def __repr__(me):
335 return '%s(%r)' % (type(me).__name__, me.info)
336_augment(Group, _tmp)
337
338class _tmp:
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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
348class _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
358class _tmp:
359 def __hash__(me): return 0x0ec23dab ^ hash(me.info)
360_augment(ECGroup, _tmp)
361
362class _tmp:
d7ab1bab 363 def __repr__(me):
364 return '%r(%r)' % (me.group, str(me))
365_augment(GE, _tmp)
366
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367###--------------------------------------------------------------------------
368### RSA encoding techniques.
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369
370class 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 379class 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 388class 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 399class 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
413class _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
425class _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
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430###--------------------------------------------------------------------------
431### Built-in named curves and prime groups.
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432
433class _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)
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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]
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459 def keys(me):
460 return [k for k in me]
461 def values(me):
462 return [me[k] for k in me]
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463 def items(me):
464 return [(k, me[k]) for k in me]
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465eccurves = _groupmap(_base._eccurves, ECInfo._curven)
466primegroups = _groupmap(_base._pgroups, DHInfo._groupn)
467bingroups = _groupmap(_base._bingroups, BinDHInfo._groupn)
468
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469###--------------------------------------------------------------------------
470### Prime number generation.
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471
472class 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
484class 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
505class 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
513class 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
525class 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 545class 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
555class 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
570class 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
610class 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
632def 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
637def 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
641def 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 ----------------------------------------------------