c0cb1abaea1f0d17374271817690e87bb48b6661
[catacomb-python] / catacomb / __init__.py
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.
25
26 from __future__ import with_statement
27
28 import _base
29 import types as _types
30 from binascii import hexlify as _hexify, unhexlify as _unhexify
31 from contextlib import contextmanager as _ctxmgr
32 from sys import argv as _argv
33 from struct import pack as _pack
34
35 ###--------------------------------------------------------------------------
36 ### Basic stuff.
37
38 ## For the benefit of the default keyreporter, we need the program na,e.
39 _base._ego(_argv[0])
40
41 ## How to fix a name back into the right identifier. Alas, the rules are not
42 ## consistent.
43 def _fixname(name):
44
45 ## Hyphens consistently become underscores.
46 name = name.replace('-', '_')
47
48 ## But slashes might become underscores or just vanish.
49 if name.startswith('salsa20'): name = name.replace('/', '')
50 else: name = name.replace('/', '_')
51
52 ## Done.
53 return name
54
55 ## Initialize the module. Drag in the static methods of the various
56 ## classes; create names for the various known crypto algorithms.
57 def _init():
58 d = globals()
59 b = _base.__dict__;
60 for i in b:
61 if i[0] != '_':
62 d[i] = b[i];
63 for i in ['ByteString',
64 'MP', 'GF', 'Field',
65 'ECPt', 'ECPtCurve', 'ECCurve', 'ECInfo',
66 'DHInfo', 'BinDHInfo', 'RSAPriv', 'BBSPriv',
67 'PrimeFilter', 'RabinMiller',
68 'Group', 'GE',
69 'KeySZ', 'KeyData']:
70 c = d[i]
71 pre = '_' + i + '_'
72 plen = len(pre)
73 for j in b:
74 if j[:plen] == pre:
75 setattr(c, j[plen:], classmethod(b[j]))
76 for i in [gcciphers, gchashes, gcmacs, gcprps]:
77 for c in i.itervalues():
78 d[_fixname(c.name)] = c
79 for c in gccrands.itervalues():
80 d[_fixname(c.name + 'rand')] = c
81 _init()
82
83 ## A handy function for our work: add the methods of a named class to an
84 ## existing class. This is how we write the Python-implemented parts of our
85 ## mostly-C types.
86 def _augment(c, cc):
87 for i in cc.__dict__:
88 a = cc.__dict__[i]
89 if type(a) is _types.MethodType:
90 a = a.im_func
91 elif type(a) not in (_types.FunctionType, staticmethod, classmethod):
92 continue
93 setattr(c, i, a)
94
95 ## Parsing functions tend to return the object parsed and the remainder of
96 ## the input. This checks that the remainder is input and, if so, returns
97 ## just the object.
98 def _checkend(r):
99 x, rest = r
100 if rest != '':
101 raise SyntaxError, 'junk at end of string'
102 return x
103
104 ## Some pretty-printing utilities.
105 PRINT_SECRETS = False
106 def _clsname(me): return type(me).__name__
107 def _repr_secret(thing, secretp = True):
108 if not secretp or PRINT_SECRETS: return repr(thing)
109 else: return '#<SECRET>'
110 def _pp_str(me, pp, cyclep): pp.text(cyclep and '...' or str(me))
111 def _pp_secret(pp, thing, secretp = True):
112 if not secretp or PRINT_SECRETS: pp.pretty(thing)
113 else: pp.text('#<SECRET>')
114 def _pp_bgroup(pp, text):
115 ind = len(text)
116 pp.begin_group(ind, text)
117 return ind
118 def _pp_bgroup_tyname(pp, obj, open = '('):
119 return _pp_bgroup(pp, _clsname(obj) + open)
120 def _pp_kv(pp, k, v, secretp = False):
121 ind = _pp_bgroup(pp, k + ' = ')
122 _pp_secret(pp, v, secretp)
123 pp.end_group(ind, '')
124 def _pp_commas(pp, printfn, items):
125 firstp = True
126 for i in items:
127 if firstp: firstp = False
128 else: pp.text(','); pp.breakable()
129 printfn(i)
130 def _pp_dict(pp, items):
131 def p((k, v)):
132 pp.begin_group(0)
133 pp.pretty(k)
134 pp.text(':')
135 pp.begin_group(2)
136 pp.breakable()
137 pp.pretty(v)
138 pp.end_group(2)
139 pp.end_group(0)
140 _pp_commas(pp, p, items)
141
142 ###--------------------------------------------------------------------------
143 ### Bytestrings.
144
145 class _tmp:
146 def fromhex(x):
147 return ByteString(_unhexify(x))
148 fromhex = staticmethod(fromhex)
149 def __hex__(me):
150 return _hexify(me)
151 def __repr__(me):
152 return 'bytes(%r)' % hex(me)
153 _augment(ByteString, _tmp)
154 ByteString.__hash__ = str.__hash__
155 bytes = ByteString.fromhex
156
157 ###--------------------------------------------------------------------------
158 ### Hashing.
159
160 class _tmp:
161 def check(me, h):
162 hh = me.done()
163 return ctstreq(h, hh)
164 _augment(GHash, _tmp)
165 _augment(Poly1305Hash, _tmp)
166
167 class _HashBase (object):
168 ## The standard hash methods. Assume that `hash' is defined and returns
169 ## the receiver.
170 def hashu8(me, n): return me.hash(_pack('B', n))
171 def hashu16l(me, n): return me.hash(_pack('<H', n))
172 def hashu16b(me, n): return me.hash(_pack('>H', n))
173 hashu16 = hashu16b
174 def hashu32l(me, n): return me.hash(_pack('<L', n))
175 def hashu32b(me, n): return me.hash(_pack('>L', n))
176 hashu32 = hashu32b
177 def hashu64l(me, n): return me.hash(_pack('<Q', n))
178 def hashu64b(me, n): return me.hash(_pack('>Q', n))
179 hashu64 = hashu64b
180 def hashbuf8(me, s): return me.hashu8(len(s)).hash(s)
181 def hashbuf16l(me, s): return me.hashu16l(len(s)).hash(s)
182 def hashbuf16b(me, s): return me.hashu16b(len(s)).hash(s)
183 hashbuf16 = hashbuf16b
184 def hashbuf32l(me, s): return me.hashu32l(len(s)).hash(s)
185 def hashbuf32b(me, s): return me.hashu32b(len(s)).hash(s)
186 hashbuf32 = hashbuf32b
187 def hashbuf64l(me, s): return me.hashu64l(len(s)).hash(s)
188 def hashbuf64b(me, s): return me.hashu64b(len(s)).hash(s)
189 hashbuf64 = hashbuf64b
190 def hashstrz(me, s): return me.hash(s).hashu8(0)
191
192 class _ShakeBase (_HashBase):
193
194 ## Python gets really confused if I try to augment `__new__' on native
195 ## classes, so wrap and delegate. Sorry.
196 def __init__(me, perso = '', *args, **kw):
197 super(_ShakeBase, me).__init__(*args, **kw)
198 me._h = me._SHAKE(perso = perso, func = me._FUNC)
199
200 ## Delegate methods...
201 def copy(me): new = me.__class__(); new._copy(me)
202 def _copy(me, other): me._h = other._h
203 def hash(me, m): me._h.hash(m); return me
204 def xof(me): me._h.xof(); return me
205 def get(me, n): return me._h.get(n)
206 def mask(me, m): return me._h.mask(m)
207 def done(me, n): return me._h.done(n)
208 def check(me, h): return ctstreq(h, me.done(len(h)))
209 @property
210 def state(me): return me._h.state
211 @property
212 def buffered(me): return me._h.buffered
213 @property
214 def rate(me): return me._h.rate
215
216 class _tmp:
217 def check(me, h):
218 return ctstreq(h, me.done(len(h)))
219 def leftenc(me, n):
220 nn = MP(n).storeb()
221 return me.hashu8(len(nn)).hash(nn)
222 def rightenc(me, n):
223 nn = MP(n).storeb()
224 return me.hash(nn).hashu8(len(nn))
225 def stringenc(me, str):
226 return me.leftenc(8*len(str)).hash(str)
227 def bytepad_before(me):
228 return me.leftenc(me.rate)
229 def bytepad_after(me):
230 if me.buffered: me.hash(me._Z[:me.rate - me.buffered])
231 return me
232 @_ctxmgr
233 def bytepad(me):
234 me.bytepad_before()
235 yield me
236 me.bytepad_after()
237 _augment(Shake, _tmp)
238 _augment(_ShakeBase, _tmp)
239 Shake._Z = _ShakeBase._Z = ByteString(200*'\0')
240
241 class KMAC (_ShakeBase):
242 _FUNC = 'KMAC'
243 def __init__(me, k, *arg, **kw):
244 super(KMAC, me).__init__(*arg, **kw)
245 with me.bytepad(): me.stringenc(k)
246 def done(me, n = -1):
247 if n < 0: n = me._TAGSZ
248 me.rightenc(8*n)
249 return super(KMAC, me).done(n)
250 def xof(me):
251 me.rightenc(0)
252 return super(KMAC, me).xof()
253
254 class KMAC128 (KMAC): _SHAKE = Shake128; _TAGSZ = 16
255 class KMAC256 (KMAC): _SHAKE = Shake256; _TAGSZ = 32
256
257 ###--------------------------------------------------------------------------
258 ### NaCl `secretbox'.
259
260 def secret_box(k, n, m):
261 E = xsalsa20(k).setiv(n)
262 r = E.enczero(poly1305.keysz.default)
263 s = E.enczero(poly1305.masksz)
264 y = E.encrypt(m)
265 t = poly1305(r)(s).hash(y).done()
266 return ByteString(t + y)
267
268 def secret_unbox(k, n, c):
269 E = xsalsa20(k).setiv(n)
270 r = E.enczero(poly1305.keysz.default)
271 s = E.enczero(poly1305.masksz)
272 y = c[poly1305.tagsz:]
273 if not poly1305(r)(s).hash(y).check(c[0:poly1305.tagsz]):
274 raise ValueError, 'decryption failed'
275 return E.decrypt(c[poly1305.tagsz:])
276
277 ###--------------------------------------------------------------------------
278 ### Multiprecision integers and binary polynomials.
279
280 def _split_rat(x):
281 if isinstance(x, BaseRat): return x._n, x._d
282 else: return x, 1
283 class BaseRat (object):
284 """Base class implementing fields of fractions over Euclidean domains."""
285 def __new__(cls, a, b):
286 a, b = cls.RING(a), cls.RING(b)
287 q, r = divmod(a, b)
288 if r == 0: return q
289 g = b.gcd(r)
290 me = super(BaseRat, cls).__new__(cls)
291 me._n = a//g
292 me._d = b//g
293 return me
294 @property
295 def numer(me): return me._n
296 @property
297 def denom(me): return me._d
298 def __str__(me): return '%s/%s' % (me._n, me._d)
299 def __repr__(me): return '%s(%s, %s)' % (_clsname(me), me._n, me._d)
300 _repr_pretty_ = _pp_str
301
302 def __add__(me, you):
303 n, d = _split_rat(you)
304 return type(me)(me._n*d + n*me._d, d*me._d)
305 __radd__ = __add__
306 def __sub__(me, you):
307 n, d = _split_rat(you)
308 return type(me)(me._n*d - n*me._d, d*me._d)
309 def __rsub__(me, you):
310 n, d = _split_rat(you)
311 return type(me)(n*me._d - me._n*d, d*me._d)
312 def __mul__(me, you):
313 n, d = _split_rat(you)
314 return type(me)(me._n*n, me._d*d)
315 def __div__(me, you):
316 n, d = _split_rat(you)
317 return type(me)(me._n*d, me._d*n)
318 def __rdiv__(me, you):
319 n, d = _split_rat(you)
320 return type(me)(me._d*n, me._n*d)
321 def __cmp__(me, you):
322 n, d = _split_rat(you)
323 return cmp(me._n*d, n*me._d)
324 def __rcmp__(me, you):
325 n, d = _split_rat(you)
326 return cmp(n*me._d, me._n*d)
327
328 class IntRat (BaseRat):
329 RING = MP
330
331 class GFRat (BaseRat):
332 RING = GF
333
334 class _tmp:
335 def negp(x): return x < 0
336 def posp(x): return x > 0
337 def zerop(x): return x == 0
338 def oddp(x): return x.testbit(0)
339 def evenp(x): return not x.testbit(0)
340 def mont(x): return MPMont(x)
341 def barrett(x): return MPBarrett(x)
342 def reduce(x): return MPReduce(x)
343 def __div__(me, you): return IntRat(me, you)
344 def __rdiv__(me, you): return IntRat(you, me)
345 _repr_pretty_ = _pp_str
346 _augment(MP, _tmp)
347
348 class _tmp:
349 def zerop(x): return x == 0
350 def reduce(x): return GFReduce(x)
351 def trace(x, y): return x.reduce().trace(y)
352 def halftrace(x, y): return x.reduce().halftrace(y)
353 def modsqrt(x, y): return x.reduce().sqrt(y)
354 def quadsolve(x, y): return x.reduce().quadsolve(y)
355 def __div__(me, you): return GFRat(me, you)
356 def __rdiv__(me, you): return GFRat(you, me)
357 _repr_pretty_ = _pp_str
358 _augment(GF, _tmp)
359
360 class _tmp:
361 def product(*arg):
362 'product(ITERABLE) or product(I, ...) -> PRODUCT'
363 return MPMul(*arg).done()
364 product = staticmethod(product)
365 _augment(MPMul, _tmp)
366
367 ###--------------------------------------------------------------------------
368 ### Abstract fields.
369
370 class _tmp:
371 def fromstring(str): return _checkend(Field.parse(str))
372 fromstring = staticmethod(fromstring)
373 _augment(Field, _tmp)
374
375 class _tmp:
376 def __repr__(me): return '%s(%sL)' % (_clsname(me), me.p)
377 def __hash__(me): return 0x114401de ^ hash(me.p)
378 def _repr_pretty_(me, pp, cyclep):
379 ind = _pp_bgroup_tyname(pp, me)
380 if cyclep: pp.text('...')
381 else: pp.pretty(me.p)
382 pp.end_group(ind, ')')
383 def ec(me, a, b): return ECPrimeProjCurve(me, a, b)
384 _augment(PrimeField, _tmp)
385
386 class _tmp:
387 def __repr__(me): return '%s(%#xL)' % (_clsname(me), me.p)
388 def ec(me, a, b): return ECBinProjCurve(me, a, b)
389 def _repr_pretty_(me, pp, cyclep):
390 ind = _pp_bgroup_tyname(pp, me)
391 if cyclep: pp.text('...')
392 else: pp.text('%#x' % me.p)
393 pp.end_group(ind, ')')
394 _augment(BinField, _tmp)
395
396 class _tmp:
397 def __hash__(me): return 0x23e4701c ^ hash(me.p)
398 _augment(BinPolyField, _tmp)
399
400 class _tmp:
401 def __hash__(me):
402 h = 0x9a7d6240
403 h ^= hash(me.p)
404 h ^= 2*hash(me.beta) & 0xffffffff
405 return h
406 _augment(BinNormField, _tmp)
407
408 class _tmp:
409 def __str__(me): return str(me.value)
410 def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value))
411 _repr_pretty_ = _pp_str
412 _augment(FE, _tmp)
413
414 ###--------------------------------------------------------------------------
415 ### Elliptic curves.
416
417 class _tmp:
418 def __repr__(me):
419 return '%s(%r, %s, %s)' % (_clsname(me), me.field, me.a, me.b)
420 def _repr_pretty_(me, pp, cyclep):
421 ind = _pp_bgroup_tyname(pp, me)
422 if cyclep:
423 pp.text('...')
424 else:
425 pp.pretty(me.field); pp.text(','); pp.breakable()
426 pp.pretty(me.a); pp.text(','); pp.breakable()
427 pp.pretty(me.b)
428 pp.end_group(ind, ')')
429 def frombuf(me, s):
430 return ecpt.frombuf(me, s)
431 def fromraw(me, s):
432 return ecpt.fromraw(me, s)
433 def pt(me, *args):
434 return me(*args)
435 _augment(ECCurve, _tmp)
436
437 class _tmp:
438 def __hash__(me):
439 h = 0x6751d341
440 h ^= hash(me.field)
441 h ^= 2*hash(me.a) ^ 0xffffffff
442 h ^= 5*hash(me.b) ^ 0xffffffff
443 return h
444 _augment(ECPrimeCurve, _tmp)
445
446 class _tmp:
447 def __hash__(me):
448 h = 0x2ac203c5
449 h ^= hash(me.field)
450 h ^= 2*hash(me.a) ^ 0xffffffff
451 h ^= 5*hash(me.b) ^ 0xffffffff
452 return h
453 _augment(ECBinCurve, _tmp)
454
455 class _tmp:
456 def __repr__(me):
457 if not me: return '%s()' % _clsname(me)
458 return '%s(%s, %s)' % (_clsname(me), me.ix, me.iy)
459 def __str__(me):
460 if not me: return 'inf'
461 return '(%s, %s)' % (me.ix, me.iy)
462 def _repr_pretty_(me, pp, cyclep):
463 if cyclep:
464 pp.text('...')
465 elif not me:
466 pp.text('inf')
467 else:
468 ind = _pp_bgroup(pp, '(')
469 pp.pretty(me.ix); pp.text(','); pp.breakable()
470 pp.pretty(me.iy)
471 pp.end_group(ind, ')')
472 _augment(ECPt, _tmp)
473
474 class _tmp:
475 def __repr__(me):
476 return '%s(curve = %r, G = %r, r = %s, h = %s)' % \
477 (_clsname(me), me.curve, me.G, me.r, me.h)
478 def _repr_pretty_(me, pp, cyclep):
479 ind = _pp_bgroup_tyname(pp, me)
480 if cyclep:
481 pp.text('...')
482 else:
483 _pp_kv(pp, 'curve', me.curve); pp.text(','); pp.breakable()
484 _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable()
485 _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable()
486 _pp_kv(pp, 'h', me.h)
487 pp.end_group(ind, ')')
488 def __hash__(me):
489 h = 0x9bedb8de
490 h ^= hash(me.curve)
491 h ^= 2*hash(me.G) & 0xffffffff
492 return h
493 def group(me):
494 return ECGroup(me)
495 _augment(ECInfo, _tmp)
496
497 class _tmp:
498 def __repr__(me):
499 if not me: return '%r()' % (me.curve)
500 return '%r(%s, %s)' % (me.curve, me.x, me.y)
501 def __str__(me):
502 if not me: return 'inf'
503 return '(%s, %s)' % (me.x, me.y)
504 def _repr_pretty_(me, pp, cyclep):
505 if cyclep:
506 pp.text('...')
507 elif not me:
508 pp.text('inf')
509 else:
510 ind = _pp_bgroup(pp, '(')
511 pp.pretty(me.x); pp.text(','); pp.breakable()
512 pp.pretty(me.y)
513 pp.end_group(ind, ')')
514 _augment(ECPtCurve, _tmp)
515
516 ###--------------------------------------------------------------------------
517 ### Key sizes.
518
519 class _tmp:
520 def __repr__(me): return '%s(%d)' % (_clsname(me), me.default)
521 def check(me, sz): return True
522 def best(me, sz): return sz
523 _augment(KeySZAny, _tmp)
524
525 class _tmp:
526 def __repr__(me):
527 return '%s(%d, %d, %d, %d)' % \
528 (_clsname(me), me.default, me.min, me.max, me.mod)
529 def _repr_pretty_(me, pp, cyclep):
530 ind = _pp_bgroup_tyname(pp, me)
531 if cyclep:
532 pp.text('...')
533 else:
534 pp.pretty(me.default); pp.text(','); pp.breakable()
535 pp.pretty(me.min); pp.text(','); pp.breakable()
536 pp.pretty(me.max); pp.text(','); pp.breakable()
537 pp.pretty(me.mod)
538 pp.end_group(ind, ')')
539 def check(me, sz): return me.min <= sz <= me.max and sz % me.mod == 0
540 def best(me, sz):
541 if sz < me.min: raise ValueError, 'key too small'
542 elif sz > me.max: return me.max
543 else: return sz - (sz % me.mod)
544 _augment(KeySZRange, _tmp)
545
546 class _tmp:
547 def __repr__(me): return '%s(%d, %s)' % (_clsname(me), me.default, me.set)
548 def _repr_pretty_(me, pp, cyclep):
549 ind = _pp_bgroup_tyname(pp, me)
550 if cyclep:
551 pp.text('...')
552 else:
553 pp.pretty(me.default); pp.text(','); pp.breakable()
554 ind1 = _pp_bgroup(pp, '{')
555 _pp_commas(pp, pp.pretty, me.set)
556 pp.end_group(ind1, '}')
557 pp.end_group(ind, ')')
558 def check(me, sz): return sz in me.set
559 def best(me, sz):
560 found = -1
561 for i in me.set:
562 if found < i <= sz: found = i
563 if found < 0: raise ValueError, 'key too small'
564 return found
565 _augment(KeySZSet, _tmp)
566
567 ###--------------------------------------------------------------------------
568 ### Key data objects.
569
570 class _tmp:
571 def __repr__(me): return '%s(%r)' % (_clsname(me), me.name)
572 _augment(KeyFile, _tmp)
573
574 class _tmp:
575 def __repr__(me): return '%s(%r)' % (_clsname(me), me.fulltag)
576 _augment(Key, _tmp)
577
578 class _tmp:
579 def __repr__(me):
580 return '%s({%s})' % (_clsname(me),
581 ', '.join(['%r: %r' % kv for kv in me.iteritems()]))
582 def _repr_pretty_(me, pp, cyclep):
583 ind = _pp_bgroup_tyname(pp, me)
584 if cyclep: pp.text('...')
585 else: _pp_dict(pp, me.iteritems())
586 pp.end_group(ind, ')')
587 _augment(KeyAttributes, _tmp)
588
589 class _tmp:
590 def __repr__(me):
591 return '%s(%s, %r)' % (_clsname(me),
592 _repr_secret(me._guts(),
593 not (me.flags & KF_NONSECRET)),
594 me.writeflags(me.flags))
595 def _repr_pretty_(me, pp, cyclep):
596 ind = _pp_bgroup_tyname(pp, me)
597 if cyclep:
598 pp.text('...')
599 else:
600 _pp_secret(pp, me._guts(), not (me.flags & KF_NONSECRET))
601 pp.text(','); pp.breakable()
602 pp.pretty(me.writeflags(me.flags))
603 pp.end_group(ind, ')')
604 _augment(KeyData, _tmp)
605
606 class _tmp:
607 def _guts(me): return me.bin
608 _augment(KeyDataBinary, _tmp)
609
610 class _tmp:
611 def _guts(me): return me.ct
612 _augment(KeyDataEncrypted, _tmp)
613
614 class _tmp:
615 def _guts(me): return me.mp
616 _augment(KeyDataMP, _tmp)
617
618 class _tmp:
619 def _guts(me): return me.str
620 _augment(KeyDataString, _tmp)
621
622 class _tmp:
623 def _guts(me): return me.ecpt
624 _augment(KeyDataECPt, _tmp)
625
626 class _tmp:
627 def __repr__(me):
628 return '%s({%s})' % (_clsname(me),
629 ', '.join(['%r: %r' % kv for kv in me.iteritems()]))
630 def _repr_pretty_(me, pp, cyclep):
631 ind = _pp_bgroup_tyname(pp, me, '({ ')
632 if cyclep: pp.text('...')
633 else: _pp_dict(pp, me.iteritems())
634 pp.end_group(ind, ' })')
635 _augment(KeyDataStructured, _tmp)
636
637 ###--------------------------------------------------------------------------
638 ### Abstract groups.
639
640 class _tmp:
641 def __repr__(me):
642 return '%s(p = %s, r = %s, g = %s)' % (_clsname(me), me.p, me.r, me.g)
643 def _repr_pretty_(me, pp, cyclep):
644 ind = _pp_bgroup_tyname(pp, me)
645 if cyclep:
646 pp.text('...')
647 else:
648 _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable()
649 _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable()
650 _pp_kv(pp, 'g', me.g)
651 pp.end_group(ind, ')')
652 _augment(FGInfo, _tmp)
653
654 class _tmp:
655 def group(me): return PrimeGroup(me)
656 _augment(DHInfo, _tmp)
657
658 class _tmp:
659 def group(me): return BinGroup(me)
660 _augment(BinDHInfo, _tmp)
661
662 class _tmp:
663 def __repr__(me):
664 return '%s(%r)' % (_clsname(me), me.info)
665 def _repr_pretty_(me, pp, cyclep):
666 ind = _pp_bgroup_tyname(pp, me)
667 if cyclep: pp.text('...')
668 else: pp.pretty(me.info)
669 pp.end_group(ind, ')')
670 _augment(Group, _tmp)
671
672 class _tmp:
673 def __hash__(me):
674 info = me.info
675 h = 0xbce3cfe6
676 h ^= hash(info.p)
677 h ^= 2*hash(info.r) & 0xffffffff
678 h ^= 5*hash(info.g) & 0xffffffff
679 return h
680 def _get_geval(me, x): return MP(x)
681 _augment(PrimeGroup, _tmp)
682
683 class _tmp:
684 def __hash__(me):
685 info = me.info
686 h = 0x80695949
687 h ^= hash(info.p)
688 h ^= 2*hash(info.r) & 0xffffffff
689 h ^= 5*hash(info.g) & 0xffffffff
690 return h
691 def _get_geval(me, x): return GF(x)
692 _augment(BinGroup, _tmp)
693
694 class _tmp:
695 def __hash__(me): return 0x0ec23dab ^ hash(me.info)
696 def _get_geval(me, x): return x.toec()
697 _augment(ECGroup, _tmp)
698
699 class _tmp:
700 def __repr__(me):
701 return '%r(%r)' % (me.group, str(me))
702 def _repr_pretty_(me, pp, cyclep):
703 pp.pretty(type(me)._get_geval(me))
704 _augment(GE, _tmp)
705
706 ###--------------------------------------------------------------------------
707 ### RSA encoding techniques.
708
709 class PKCS1Crypt (object):
710 def __init__(me, ep = '', rng = rand):
711 me.ep = ep
712 me.rng = rng
713 def encode(me, msg, nbits):
714 return _base._p1crypt_encode(msg, nbits, me.ep, me.rng)
715 def decode(me, ct, nbits):
716 return _base._p1crypt_decode(ct, nbits, me.ep, me.rng)
717
718 class PKCS1Sig (object):
719 def __init__(me, ep = '', rng = rand):
720 me.ep = ep
721 me.rng = rng
722 def encode(me, msg, nbits):
723 return _base._p1sig_encode(msg, nbits, me.ep, me.rng)
724 def decode(me, msg, sig, nbits):
725 return _base._p1sig_decode(msg, sig, nbits, me.ep, me.rng)
726
727 class OAEP (object):
728 def __init__(me, mgf = sha_mgf, hash = sha, ep = '', rng = rand):
729 me.mgf = mgf
730 me.hash = hash
731 me.ep = ep
732 me.rng = rng
733 def encode(me, msg, nbits):
734 return _base._oaep_encode(msg, nbits, me.mgf, me.hash, me.ep, me.rng)
735 def decode(me, ct, nbits):
736 return _base._oaep_decode(ct, nbits, me.mgf, me.hash, me.ep, me.rng)
737
738 class PSS (object):
739 def __init__(me, mgf = sha_mgf, hash = sha, saltsz = None, rng = rand):
740 me.mgf = mgf
741 me.hash = hash
742 if saltsz is None:
743 saltsz = hash.hashsz
744 me.saltsz = saltsz
745 me.rng = rng
746 def encode(me, msg, nbits):
747 return _base._pss_encode(msg, nbits, me.mgf, me.hash, me.saltsz, me.rng)
748 def decode(me, msg, sig, nbits):
749 return _base._pss_decode(msg, sig, nbits,
750 me.mgf, me.hash, me.saltsz, me.rng)
751
752 class _tmp:
753 def encrypt(me, msg, enc):
754 return me.pubop(enc.encode(msg, me.n.nbits))
755 def verify(me, msg, sig, enc):
756 if msg is None: return enc.decode(msg, me.pubop(sig), me.n.nbits)
757 try:
758 x = enc.decode(msg, me.pubop(sig), me.n.nbits)
759 return x is None or x == msg
760 except ValueError:
761 return False
762 def __repr__(me):
763 return '%s(n = %r, e = %r)' % (_clsname(me), me.n, me.e)
764 def _repr_pretty_(me, pp, cyclep):
765 ind = _pp_bgroup_tyname(pp, me)
766 if cyclep:
767 pp.text('...')
768 else:
769 _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable()
770 _pp_kv(pp, 'e', me.e)
771 pp.end_group(ind, ')')
772 _augment(RSAPub, _tmp)
773
774 class _tmp:
775 def decrypt(me, ct, enc): return enc.decode(me.privop(ct), me.n.nbits)
776 def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits))
777 def __repr__(me):
778 return '%s(n = %r, e = %r, d = %s, ' \
779 'p = %s, q = %s, dp = %s, dq = %s, q_inv = %s)' % \
780 (_clsname(me), me.n, me.e,
781 _repr_secret(me.d), _repr_secret(me.p), _repr_secret(me.q),
782 _repr_secret(me.dp), _repr_secret(me.dq), _repr_secret(me.q_inv))
783 def _repr_pretty_(me, pp, cyclep):
784 ind = _pp_bgroup_tyname(pp, me)
785 if cyclep:
786 pp.text('...')
787 else:
788 _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable()
789 _pp_kv(pp, 'e', me.e); pp.text(','); pp.breakable()
790 _pp_kv(pp, 'd', me.d, secretp = True); pp.text(','); pp.breakable()
791 _pp_kv(pp, 'p', me.p, secretp = True); pp.text(','); pp.breakable()
792 _pp_kv(pp, 'q', me.q, secretp = True); pp.text(','); pp.breakable()
793 _pp_kv(pp, 'dp', me.dp, secretp = True); pp.text(','); pp.breakable()
794 _pp_kv(pp, 'dq', me.dq, secretp = True); pp.text(','); pp.breakable()
795 _pp_kv(pp, 'q_inv', me.q_inv, secretp = True)
796 pp.end_group(ind, ')')
797 _augment(RSAPriv, _tmp)
798
799 ###--------------------------------------------------------------------------
800 ### DSA and related schemes.
801
802 class _tmp:
803 def __repr__(me): return '%s(G = %r, p = %r)' % (_clsname(me), me.G, me.p)
804 def _repr_pretty_(me, pp, cyclep):
805 ind = _pp_bgroup_tyname(pp, me)
806 if cyclep:
807 pp.text('...')
808 else:
809 _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable()
810 _pp_kv(pp, 'p', me.p)
811 pp.end_group(ind, ')')
812 _augment(DSAPub, _tmp)
813 _augment(KCDSAPub, _tmp)
814
815 class _tmp:
816 def __repr__(me): return '%s(G = %r, u = %s, p = %r)' % \
817 (_clsname(me), me.G, _repr_secret(me.u), me.p)
818 def _repr_pretty_(me, pp, cyclep):
819 ind = _pp_bgroup_tyname(pp, me)
820 if cyclep:
821 pp.text('...')
822 else:
823 _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable()
824 _pp_kv(pp, 'u', me.u, True); pp.text(','); pp.breakable()
825 _pp_kv(pp, 'p', me.p)
826 pp.end_group(ind, ')')
827 _augment(DSAPriv, _tmp)
828 _augment(KCDSAPriv, _tmp)
829
830 ###--------------------------------------------------------------------------
831 ### Bernstein's elliptic curve crypto and related schemes.
832
833 X25519_BASE = MP(9).storel(32)
834 X448_BASE = MP(5).storel(56)
835
836 Z128 = ByteString.zero(16)
837
838 class _BasePub (object):
839 def __init__(me, pub, *args, **kw):
840 if not me._PUBSZ.check(len(pub)): raise ValueError, 'bad public key'
841 super(_BasePub, me).__init__(*args, **kw)
842 me.pub = pub
843 def __repr__(me): return '%s(pub = %r)' % (_clsname(me), me.pub)
844 def _pp(me, pp): _pp_kv(pp, 'pub', me.pub)
845 def _repr_pretty_(me, pp, cyclep):
846 ind = _pp_bgroup_tyname(pp, me)
847 if cyclep: pp.text('...')
848 else: me._pp(pp)
849 pp.end_group(ind, ')')
850
851 class _BasePriv (object):
852 def __init__(me, priv, pub = None, *args, **kw):
853 if not me._KEYSZ.check(len(priv)): raise ValueError, 'bad private key'
854 if pub is None: pub = me._pubkey(priv)
855 super(_BasePriv, me).__init__(pub = pub, *args, **kw)
856 me.priv = priv
857 @classmethod
858 def generate(cls, rng = rand):
859 return cls(rng.block(cls._KEYSZ.default))
860 def __repr__(me):
861 return '%s(priv = %d, pub = %r)' % \
862 (_clsname(me), _repr_secret(me.priv), me.pub)
863 def _pp(me, pp):
864 _pp_kv(pp, 'priv', me.priv, secretp = True); pp.text(','); pp.breakable()
865 super(_BasePriv, me)._pp(pp)
866
867 class _XDHPub (_BasePub): pass
868
869 class _XDHPriv (_BasePriv):
870 def _pubkey(me, priv): return me._op(priv, me._BASE)
871 def agree(me, you): return me._op(me.priv, you.pub)
872 def boxkey(me, recip): return me._hashkey(me.agree(recip))
873 def box(me, recip, n, m): return secret_box(me.boxkey(recip), n, m)
874 def unbox(me, recip, n, c): return secret_unbox(me.boxkey(recip), n, c)
875
876 class X25519Pub (_XDHPub):
877 _PUBSZ = KeySZSet(X25519_PUBSZ)
878 _BASE = X25519_BASE
879
880 class X25519Priv (_XDHPriv, X25519Pub):
881 _KEYSZ = KeySZSet(X25519_KEYSZ)
882 def _op(me, k, X): return x25519(k, X)
883 def _hashkey(me, z): return hsalsa20_prf(z, Z128)
884
885 class X448Pub (_XDHPub):
886 _PUBSZ = KeySZSet(X448_PUBSZ)
887 _BASE = X448_BASE
888
889 class X448Priv (_XDHPriv, X448Pub):
890 _KEYSZ = KeySZSet(X448_KEYSZ)
891 def _op(me, k, X): return x448(k, X)
892 def _hashkey(me, z): return Shake256().hash(z).done(salsa20.keysz.default)
893
894 class _EdDSAPub (_BasePub):
895 def beginhash(me): return me._HASH()
896 def endhash(me, h): return h.done()
897
898 class _EdDSAPriv (_BasePriv, _EdDSAPub):
899 pass
900
901 class Ed25519Pub (_EdDSAPub):
902 _PUBSZ = KeySZSet(ED25519_PUBSZ)
903 _HASH = sha512
904 def verify(me, msg, sig, **kw):
905 return ed25519_verify(me.pub, msg, sig, **kw)
906
907 class Ed25519Priv (_EdDSAPriv, Ed25519Pub):
908 _KEYSZ = KeySZAny(ED25519_KEYSZ)
909 def _pubkey(me, priv): return ed25519_pubkey(priv)
910 def sign(me, msg, **kw):
911 return ed25519_sign(me.priv, msg, pub = me.pub, **kw)
912
913 class Ed448Pub (_EdDSAPub):
914 _PUBSZ = KeySZSet(ED448_PUBSZ)
915 _HASH = shake256
916 def verify(me, msg, sig, **kw):
917 return ed448_verify(me.pub, msg, sig, **kw)
918
919 class Ed448Priv (_EdDSAPriv, Ed448Pub):
920 _KEYSZ = KeySZAny(ED448_KEYSZ)
921 def _pubkey(me, priv): return ed448_pubkey(priv)
922 def sign(me, msg, **kw):
923 return ed448_sign(me.priv, msg, pub = me.pub, **kw)
924
925 ###--------------------------------------------------------------------------
926 ### Built-in named curves and prime groups.
927
928 class _groupmap (object):
929 def __init__(me, map, nth):
930 me.map = map
931 me.nth = nth
932 me._n = max(map.values()) + 1
933 me.i = me._n*[None]
934 def __repr__(me):
935 return '{%s}' % ', '.join(['%r: %r' % kv for kv in me.iteritems()])
936 def _repr_pretty_(me, pp, cyclep):
937 ind = _pp_bgroup(pp, '{ ')
938 if cyclep: pp.text('...')
939 else: _pp_dict(pp, me.iteritems())
940 pp.end_group(ind, ' }')
941 def __len__(me):
942 return me._n
943 def __contains__(me, k):
944 return k in me.map
945 def __getitem__(me, k):
946 i = me.map[k]
947 if me.i[i] is None:
948 me.i[i] = me.nth(i)
949 return me.i[i]
950 def __setitem__(me, k, v):
951 raise TypeError, "immutable object"
952 def __iter__(me):
953 return iter(me.map)
954 def iterkeys(me):
955 return iter(me.map)
956 def itervalues(me):
957 for k in me:
958 yield me[k]
959 def iteritems(me):
960 for k in me:
961 yield k, me[k]
962 def keys(me):
963 return [k for k in me]
964 def values(me):
965 return [me[k] for k in me]
966 def items(me):
967 return [(k, me[k]) for k in me]
968 eccurves = _groupmap(_base._eccurves, ECInfo._curven)
969 primegroups = _groupmap(_base._pgroups, DHInfo._groupn)
970 bingroups = _groupmap(_base._bingroups, BinDHInfo._groupn)
971
972 ###--------------------------------------------------------------------------
973 ### Prime number generation.
974
975 class PrimeGenEventHandler (object):
976 def pg_begin(me, ev):
977 return me.pg_try(ev)
978 def pg_done(me, ev):
979 return PGEN_DONE
980 def pg_abort(me, ev):
981 return PGEN_TRY
982 def pg_fail(me, ev):
983 return PGEN_TRY
984 def pg_pass(me, ev):
985 return PGEN_TRY
986
987 class SophieGermainStepJump (object):
988 def pg_begin(me, ev):
989 me.lf = PrimeFilter(ev.x)
990 me.hf = me.lf.muladd(2, 1)
991 return me.cont(ev)
992 def pg_try(me, ev):
993 me.step()
994 return me.cont(ev)
995 def cont(me, ev):
996 while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL:
997 me.step()
998 if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT:
999 return PGEN_ABORT
1000 ev.x = me.lf.x
1001 if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE:
1002 return PGEN_DONE
1003 return PGEN_TRY
1004 def pg_done(me, ev):
1005 del me.lf
1006 del me.hf
1007
1008 class SophieGermainStepper (SophieGermainStepJump):
1009 def __init__(me, step):
1010 me.lstep = step;
1011 me.hstep = 2 * step
1012 def step(me):
1013 me.lf.step(me.lstep)
1014 me.hf.step(me.hstep)
1015
1016 class SophieGermainJumper (SophieGermainStepJump):
1017 def __init__(me, jump):
1018 me.ljump = PrimeFilter(jump);
1019 me.hjump = me.ljump.muladd(2, 0)
1020 def step(me):
1021 me.lf.jump(me.ljump)
1022 me.hf.jump(me.hjump)
1023 def pg_done(me, ev):
1024 del me.ljump
1025 del me.hjump
1026 SophieGermainStepJump.pg_done(me, ev)
1027
1028 class SophieGermainTester (object):
1029 def __init__(me):
1030 pass
1031 def pg_begin(me, ev):
1032 me.lr = RabinMiller(ev.x)
1033 me.hr = RabinMiller(2 * ev.x + 1)
1034 def pg_try(me, ev):
1035 lst = me.lr.test(ev.rng.range(me.lr.x))
1036 if lst != PGEN_PASS and lst != PGEN_DONE:
1037 return lst
1038 rst = me.hr.test(ev.rng.range(me.hr.x))
1039 if rst != PGEN_PASS and rst != PGEN_DONE:
1040 return rst
1041 if lst == PGEN_DONE and rst == PGEN_DONE:
1042 return PGEN_DONE
1043 return PGEN_PASS
1044 def pg_done(me, ev):
1045 del me.lr
1046 del me.hr
1047
1048 class PrimitiveStepper (PrimeGenEventHandler):
1049 def __init__(me):
1050 pass
1051 def pg_try(me, ev):
1052 ev.x = me.i.next()
1053 return PGEN_TRY
1054 def pg_begin(me, ev):
1055 me.i = iter(smallprimes)
1056 return me.pg_try(ev)
1057
1058 class PrimitiveTester (PrimeGenEventHandler):
1059 def __init__(me, mod, hh = [], exp = None):
1060 me.mod = MPMont(mod)
1061 me.exp = exp
1062 me.hh = hh
1063 def pg_try(me, ev):
1064 x = ev.x
1065 if me.exp is not None:
1066 x = me.mod.exp(x, me.exp)
1067 if x == 1: return PGEN_FAIL
1068 for h in me.hh:
1069 if me.mod.exp(x, h) == 1: return PGEN_FAIL
1070 ev.x = x
1071 return PGEN_DONE
1072
1073 class SimulStepper (PrimeGenEventHandler):
1074 def __init__(me, mul = 2, add = 1, step = 2):
1075 me.step = step
1076 me.mul = mul
1077 me.add = add
1078 def _stepfn(me, step):
1079 if step <= 0:
1080 raise ValueError, 'step must be positive'
1081 if step <= MPW_MAX:
1082 return lambda f: f.step(step)
1083 j = PrimeFilter(step)
1084 return lambda f: f.jump(j)
1085 def pg_begin(me, ev):
1086 x = ev.x
1087 me.lf = PrimeFilter(x)
1088 me.hf = PrimeFilter(x * me.mul + me.add)
1089 me.lstep = me._stepfn(me.step)
1090 me.hstep = me._stepfn(me.step * me.mul)
1091 SimulStepper._cont(me, ev)
1092 def pg_try(me, ev):
1093 me._step()
1094 me._cont(ev)
1095 def _step(me):
1096 me.lstep(me.lf)
1097 me.hstep(me.hf)
1098 def _cont(me, ev):
1099 while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL:
1100 me._step()
1101 if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT:
1102 return PGEN_ABORT
1103 ev.x = me.lf.x
1104 if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE:
1105 return PGEN_DONE
1106 return PGEN_TRY
1107 def pg_done(me, ev):
1108 del me.lf
1109 del me.hf
1110 del me.lstep
1111 del me.hstep
1112
1113 class SimulTester (PrimeGenEventHandler):
1114 def __init__(me, mul = 2, add = 1):
1115 me.mul = mul
1116 me.add = add
1117 def pg_begin(me, ev):
1118 x = ev.x
1119 me.lr = RabinMiller(x)
1120 me.hr = RabinMiller(x * me.mul + me.add)
1121 def pg_try(me, ev):
1122 lst = me.lr.test(ev.rng.range(me.lr.x))
1123 if lst != PGEN_PASS and lst != PGEN_DONE:
1124 return lst
1125 rst = me.hr.test(ev.rng.range(me.hr.x))
1126 if rst != PGEN_PASS and rst != PGEN_DONE:
1127 return rst
1128 if lst == PGEN_DONE and rst == PGEN_DONE:
1129 return PGEN_DONE
1130 return PGEN_PASS
1131 def pg_done(me, ev):
1132 del me.lr
1133 del me.hr
1134
1135 def sgprime(start, step = 2, name = 'p', event = pgen_nullev, nsteps = 0):
1136 start = MP(start)
1137 return pgen(start, name, SimulStepper(step = step), SimulTester(), event,
1138 nsteps, RabinMiller.iters(start.nbits))
1139
1140 def findprimitive(mod, hh = [], exp = None, name = 'g', event = pgen_nullev):
1141 return pgen(0, name, PrimitiveStepper(), PrimitiveTester(mod, hh, exp),
1142 event, 0, 1)
1143
1144 def kcdsaprime(pbits, qbits, rng = rand,
1145 event = pgen_nullev, name = 'p', nsteps = 0):
1146 hbits = pbits - qbits
1147 h = pgen(rng.mp(hbits, 1), name + ' [h]',
1148 PrimeGenStepper(2), PrimeGenTester(),
1149 event, nsteps, RabinMiller.iters(hbits))
1150 q = pgen(rng.mp(qbits, 1), name, SimulStepper(2 * h, 1, 2),
1151 SimulTester(2 * h, 1), event, nsteps, RabinMiller.iters(qbits))
1152 p = 2 * q * h + 1
1153 return p, q, h
1154
1155 #----- That's all, folks ----------------------------------------------------