| 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 | __rmul__ = __mul__ |
| 316 | def __div__(me, you): |
| 317 | n, d = _split_rat(you) |
| 318 | return type(me)(me._n*d, me._d*n) |
| 319 | def __rdiv__(me, you): |
| 320 | n, d = _split_rat(you) |
| 321 | return type(me)(me._d*n, me._n*d) |
| 322 | def __cmp__(me, you): |
| 323 | n, d = _split_rat(you) |
| 324 | return cmp(me._n*d, n*me._d) |
| 325 | def __rcmp__(me, you): |
| 326 | n, d = _split_rat(you) |
| 327 | return cmp(n*me._d, me._n*d) |
| 328 | |
| 329 | class IntRat (BaseRat): |
| 330 | RING = MP |
| 331 | |
| 332 | class GFRat (BaseRat): |
| 333 | RING = GF |
| 334 | |
| 335 | class _tmp: |
| 336 | def negp(x): return x < 0 |
| 337 | def posp(x): return x > 0 |
| 338 | def zerop(x): return x == 0 |
| 339 | def oddp(x): return x.testbit(0) |
| 340 | def evenp(x): return not x.testbit(0) |
| 341 | def mont(x): return MPMont(x) |
| 342 | def barrett(x): return MPBarrett(x) |
| 343 | def reduce(x): return MPReduce(x) |
| 344 | def __div__(me, you): return IntRat(me, you) |
| 345 | def __rdiv__(me, you): return IntRat(you, me) |
| 346 | _repr_pretty_ = _pp_str |
| 347 | _augment(MP, _tmp) |
| 348 | |
| 349 | class _tmp: |
| 350 | def zerop(x): return x == 0 |
| 351 | def reduce(x): return GFReduce(x) |
| 352 | def trace(x, y): return x.reduce().trace(y) |
| 353 | def halftrace(x, y): return x.reduce().halftrace(y) |
| 354 | def modsqrt(x, y): return x.reduce().sqrt(y) |
| 355 | def quadsolve(x, y): return x.reduce().quadsolve(y) |
| 356 | def __div__(me, you): return GFRat(me, you) |
| 357 | def __rdiv__(me, you): return GFRat(you, me) |
| 358 | _repr_pretty_ = _pp_str |
| 359 | _augment(GF, _tmp) |
| 360 | |
| 361 | class _tmp: |
| 362 | def product(*arg): |
| 363 | 'product(ITERABLE) or product(I, ...) -> PRODUCT' |
| 364 | return MPMul(*arg).done() |
| 365 | product = staticmethod(product) |
| 366 | _augment(MPMul, _tmp) |
| 367 | |
| 368 | ###-------------------------------------------------------------------------- |
| 369 | ### Abstract fields. |
| 370 | |
| 371 | class _tmp: |
| 372 | def fromstring(str): return _checkend(Field.parse(str)) |
| 373 | fromstring = staticmethod(fromstring) |
| 374 | _augment(Field, _tmp) |
| 375 | |
| 376 | class _tmp: |
| 377 | def __repr__(me): return '%s(%sL)' % (_clsname(me), me.p) |
| 378 | def __hash__(me): return 0x114401de ^ hash(me.p) |
| 379 | def _repr_pretty_(me, pp, cyclep): |
| 380 | ind = _pp_bgroup_tyname(pp, me) |
| 381 | if cyclep: pp.text('...') |
| 382 | else: pp.pretty(me.p) |
| 383 | pp.end_group(ind, ')') |
| 384 | def ec(me, a, b): return ECPrimeProjCurve(me, a, b) |
| 385 | _augment(PrimeField, _tmp) |
| 386 | |
| 387 | class _tmp: |
| 388 | def __repr__(me): return '%s(%#xL)' % (_clsname(me), me.p) |
| 389 | def ec(me, a, b): return ECBinProjCurve(me, a, b) |
| 390 | def _repr_pretty_(me, pp, cyclep): |
| 391 | ind = _pp_bgroup_tyname(pp, me) |
| 392 | if cyclep: pp.text('...') |
| 393 | else: pp.text('%#x' % me.p) |
| 394 | pp.end_group(ind, ')') |
| 395 | _augment(BinField, _tmp) |
| 396 | |
| 397 | class _tmp: |
| 398 | def __hash__(me): return 0x23e4701c ^ hash(me.p) |
| 399 | _augment(BinPolyField, _tmp) |
| 400 | |
| 401 | class _tmp: |
| 402 | def __hash__(me): |
| 403 | h = 0x9a7d6240 |
| 404 | h ^= hash(me.p) |
| 405 | h ^= 2*hash(me.beta) & 0xffffffff |
| 406 | return h |
| 407 | _augment(BinNormField, _tmp) |
| 408 | |
| 409 | class _tmp: |
| 410 | def __str__(me): return str(me.value) |
| 411 | def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value)) |
| 412 | _repr_pretty_ = _pp_str |
| 413 | _augment(FE, _tmp) |
| 414 | |
| 415 | ###-------------------------------------------------------------------------- |
| 416 | ### Elliptic curves. |
| 417 | |
| 418 | class _tmp: |
| 419 | def __repr__(me): |
| 420 | return '%s(%r, %s, %s)' % (_clsname(me), me.field, me.a, me.b) |
| 421 | def _repr_pretty_(me, pp, cyclep): |
| 422 | ind = _pp_bgroup_tyname(pp, me) |
| 423 | if cyclep: |
| 424 | pp.text('...') |
| 425 | else: |
| 426 | pp.pretty(me.field); pp.text(','); pp.breakable() |
| 427 | pp.pretty(me.a); pp.text(','); pp.breakable() |
| 428 | pp.pretty(me.b) |
| 429 | pp.end_group(ind, ')') |
| 430 | def frombuf(me, s): |
| 431 | return ecpt.frombuf(me, s) |
| 432 | def fromraw(me, s): |
| 433 | return ecpt.fromraw(me, s) |
| 434 | def pt(me, *args): |
| 435 | return me(*args) |
| 436 | _augment(ECCurve, _tmp) |
| 437 | |
| 438 | class _tmp: |
| 439 | def __hash__(me): |
| 440 | h = 0x6751d341 |
| 441 | h ^= hash(me.field) |
| 442 | h ^= 2*hash(me.a) ^ 0xffffffff |
| 443 | h ^= 5*hash(me.b) ^ 0xffffffff |
| 444 | return h |
| 445 | _augment(ECPrimeCurve, _tmp) |
| 446 | |
| 447 | class _tmp: |
| 448 | def __hash__(me): |
| 449 | h = 0x2ac203c5 |
| 450 | h ^= hash(me.field) |
| 451 | h ^= 2*hash(me.a) ^ 0xffffffff |
| 452 | h ^= 5*hash(me.b) ^ 0xffffffff |
| 453 | return h |
| 454 | _augment(ECBinCurve, _tmp) |
| 455 | |
| 456 | class _tmp: |
| 457 | def __repr__(me): |
| 458 | if not me: return '%s()' % _clsname(me) |
| 459 | return '%s(%s, %s)' % (_clsname(me), me.ix, me.iy) |
| 460 | def __str__(me): |
| 461 | if not me: return 'inf' |
| 462 | return '(%s, %s)' % (me.ix, me.iy) |
| 463 | def _repr_pretty_(me, pp, cyclep): |
| 464 | if cyclep: |
| 465 | pp.text('...') |
| 466 | elif not me: |
| 467 | pp.text('inf') |
| 468 | else: |
| 469 | ind = _pp_bgroup(pp, '(') |
| 470 | pp.pretty(me.ix); pp.text(','); pp.breakable() |
| 471 | pp.pretty(me.iy) |
| 472 | pp.end_group(ind, ')') |
| 473 | _augment(ECPt, _tmp) |
| 474 | |
| 475 | class _tmp: |
| 476 | def __repr__(me): |
| 477 | return '%s(curve = %r, G = %r, r = %s, h = %s)' % \ |
| 478 | (_clsname(me), me.curve, me.G, me.r, me.h) |
| 479 | def _repr_pretty_(me, pp, cyclep): |
| 480 | ind = _pp_bgroup_tyname(pp, me) |
| 481 | if cyclep: |
| 482 | pp.text('...') |
| 483 | else: |
| 484 | _pp_kv(pp, 'curve', me.curve); pp.text(','); pp.breakable() |
| 485 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 486 | _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable() |
| 487 | _pp_kv(pp, 'h', me.h) |
| 488 | pp.end_group(ind, ')') |
| 489 | def __hash__(me): |
| 490 | h = 0x9bedb8de |
| 491 | h ^= hash(me.curve) |
| 492 | h ^= 2*hash(me.G) & 0xffffffff |
| 493 | return h |
| 494 | def group(me): |
| 495 | return ECGroup(me) |
| 496 | _augment(ECInfo, _tmp) |
| 497 | |
| 498 | class _tmp: |
| 499 | def __repr__(me): |
| 500 | if not me: return '%r()' % (me.curve) |
| 501 | return '%r(%s, %s)' % (me.curve, me.x, me.y) |
| 502 | def __str__(me): |
| 503 | if not me: return 'inf' |
| 504 | return '(%s, %s)' % (me.x, me.y) |
| 505 | def _repr_pretty_(me, pp, cyclep): |
| 506 | if cyclep: |
| 507 | pp.text('...') |
| 508 | elif not me: |
| 509 | pp.text('inf') |
| 510 | else: |
| 511 | ind = _pp_bgroup(pp, '(') |
| 512 | pp.pretty(me.x); pp.text(','); pp.breakable() |
| 513 | pp.pretty(me.y) |
| 514 | pp.end_group(ind, ')') |
| 515 | _augment(ECPtCurve, _tmp) |
| 516 | |
| 517 | ###-------------------------------------------------------------------------- |
| 518 | ### Key sizes. |
| 519 | |
| 520 | class _tmp: |
| 521 | def __repr__(me): return '%s(%d)' % (_clsname(me), me.default) |
| 522 | def check(me, sz): return True |
| 523 | def best(me, sz): return sz |
| 524 | _augment(KeySZAny, _tmp) |
| 525 | |
| 526 | class _tmp: |
| 527 | def __repr__(me): |
| 528 | return '%s(%d, %d, %d, %d)' % \ |
| 529 | (_clsname(me), me.default, me.min, me.max, me.mod) |
| 530 | def _repr_pretty_(me, pp, cyclep): |
| 531 | ind = _pp_bgroup_tyname(pp, me) |
| 532 | if cyclep: |
| 533 | pp.text('...') |
| 534 | else: |
| 535 | pp.pretty(me.default); pp.text(','); pp.breakable() |
| 536 | pp.pretty(me.min); pp.text(','); pp.breakable() |
| 537 | pp.pretty(me.max); pp.text(','); pp.breakable() |
| 538 | pp.pretty(me.mod) |
| 539 | pp.end_group(ind, ')') |
| 540 | def check(me, sz): return me.min <= sz <= me.max and sz % me.mod == 0 |
| 541 | def best(me, sz): |
| 542 | if sz < me.min: raise ValueError, 'key too small' |
| 543 | elif sz > me.max: return me.max |
| 544 | else: return sz - (sz % me.mod) |
| 545 | _augment(KeySZRange, _tmp) |
| 546 | |
| 547 | class _tmp: |
| 548 | def __repr__(me): return '%s(%d, %s)' % (_clsname(me), me.default, me.set) |
| 549 | def _repr_pretty_(me, pp, cyclep): |
| 550 | ind = _pp_bgroup_tyname(pp, me) |
| 551 | if cyclep: |
| 552 | pp.text('...') |
| 553 | else: |
| 554 | pp.pretty(me.default); pp.text(','); pp.breakable() |
| 555 | ind1 = _pp_bgroup(pp, '{') |
| 556 | _pp_commas(pp, pp.pretty, me.set) |
| 557 | pp.end_group(ind1, '}') |
| 558 | pp.end_group(ind, ')') |
| 559 | def check(me, sz): return sz in me.set |
| 560 | def best(me, sz): |
| 561 | found = -1 |
| 562 | for i in me.set: |
| 563 | if found < i <= sz: found = i |
| 564 | if found < 0: raise ValueError, 'key too small' |
| 565 | return found |
| 566 | _augment(KeySZSet, _tmp) |
| 567 | |
| 568 | ###-------------------------------------------------------------------------- |
| 569 | ### Key data objects. |
| 570 | |
| 571 | class _tmp: |
| 572 | def __repr__(me): return '%s(%r)' % (_clsname(me), me.name) |
| 573 | _augment(KeyFile, _tmp) |
| 574 | |
| 575 | class _tmp: |
| 576 | def __repr__(me): return '%s(%r)' % (_clsname(me), me.fulltag) |
| 577 | _augment(Key, _tmp) |
| 578 | |
| 579 | class _tmp: |
| 580 | def __repr__(me): |
| 581 | return '%s({%s})' % (_clsname(me), |
| 582 | ', '.join(['%r: %r' % kv for kv in me.iteritems()])) |
| 583 | def _repr_pretty_(me, pp, cyclep): |
| 584 | ind = _pp_bgroup_tyname(pp, me) |
| 585 | if cyclep: pp.text('...') |
| 586 | else: _pp_dict(pp, me.iteritems()) |
| 587 | pp.end_group(ind, ')') |
| 588 | _augment(KeyAttributes, _tmp) |
| 589 | |
| 590 | class _tmp: |
| 591 | def __repr__(me): |
| 592 | return '%s(%s, %r)' % (_clsname(me), |
| 593 | _repr_secret(me._guts(), |
| 594 | not (me.flags & KF_NONSECRET)), |
| 595 | me.writeflags(me.flags)) |
| 596 | def _repr_pretty_(me, pp, cyclep): |
| 597 | ind = _pp_bgroup_tyname(pp, me) |
| 598 | if cyclep: |
| 599 | pp.text('...') |
| 600 | else: |
| 601 | _pp_secret(pp, me._guts(), not (me.flags & KF_NONSECRET)) |
| 602 | pp.text(','); pp.breakable() |
| 603 | pp.pretty(me.writeflags(me.flags)) |
| 604 | pp.end_group(ind, ')') |
| 605 | _augment(KeyData, _tmp) |
| 606 | |
| 607 | class _tmp: |
| 608 | def _guts(me): return me.bin |
| 609 | _augment(KeyDataBinary, _tmp) |
| 610 | |
| 611 | class _tmp: |
| 612 | def _guts(me): return me.ct |
| 613 | _augment(KeyDataEncrypted, _tmp) |
| 614 | |
| 615 | class _tmp: |
| 616 | def _guts(me): return me.mp |
| 617 | _augment(KeyDataMP, _tmp) |
| 618 | |
| 619 | class _tmp: |
| 620 | def _guts(me): return me.str |
| 621 | _augment(KeyDataString, _tmp) |
| 622 | |
| 623 | class _tmp: |
| 624 | def _guts(me): return me.ecpt |
| 625 | _augment(KeyDataECPt, _tmp) |
| 626 | |
| 627 | class _tmp: |
| 628 | def __repr__(me): |
| 629 | return '%s({%s})' % (_clsname(me), |
| 630 | ', '.join(['%r: %r' % kv for kv in me.iteritems()])) |
| 631 | def _repr_pretty_(me, pp, cyclep): |
| 632 | ind = _pp_bgroup_tyname(pp, me, '({ ') |
| 633 | if cyclep: pp.text('...') |
| 634 | else: _pp_dict(pp, me.iteritems()) |
| 635 | pp.end_group(ind, ' })') |
| 636 | _augment(KeyDataStructured, _tmp) |
| 637 | |
| 638 | ###-------------------------------------------------------------------------- |
| 639 | ### Abstract groups. |
| 640 | |
| 641 | class _tmp: |
| 642 | def __repr__(me): |
| 643 | return '%s(p = %s, r = %s, g = %s)' % (_clsname(me), me.p, me.r, me.g) |
| 644 | def _repr_pretty_(me, pp, cyclep): |
| 645 | ind = _pp_bgroup_tyname(pp, me) |
| 646 | if cyclep: |
| 647 | pp.text('...') |
| 648 | else: |
| 649 | _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable() |
| 650 | _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable() |
| 651 | _pp_kv(pp, 'g', me.g) |
| 652 | pp.end_group(ind, ')') |
| 653 | _augment(FGInfo, _tmp) |
| 654 | |
| 655 | class _tmp: |
| 656 | def group(me): return PrimeGroup(me) |
| 657 | _augment(DHInfo, _tmp) |
| 658 | |
| 659 | class _tmp: |
| 660 | def group(me): return BinGroup(me) |
| 661 | _augment(BinDHInfo, _tmp) |
| 662 | |
| 663 | class _tmp: |
| 664 | def __repr__(me): |
| 665 | return '%s(%r)' % (_clsname(me), me.info) |
| 666 | def _repr_pretty_(me, pp, cyclep): |
| 667 | ind = _pp_bgroup_tyname(pp, me) |
| 668 | if cyclep: pp.text('...') |
| 669 | else: pp.pretty(me.info) |
| 670 | pp.end_group(ind, ')') |
| 671 | _augment(Group, _tmp) |
| 672 | |
| 673 | class _tmp: |
| 674 | def __hash__(me): |
| 675 | info = me.info |
| 676 | h = 0xbce3cfe6 |
| 677 | h ^= hash(info.p) |
| 678 | h ^= 2*hash(info.r) & 0xffffffff |
| 679 | h ^= 5*hash(info.g) & 0xffffffff |
| 680 | return h |
| 681 | def _get_geval(me, x): return MP(x) |
| 682 | _augment(PrimeGroup, _tmp) |
| 683 | |
| 684 | class _tmp: |
| 685 | def __hash__(me): |
| 686 | info = me.info |
| 687 | h = 0x80695949 |
| 688 | h ^= hash(info.p) |
| 689 | h ^= 2*hash(info.r) & 0xffffffff |
| 690 | h ^= 5*hash(info.g) & 0xffffffff |
| 691 | return h |
| 692 | def _get_geval(me, x): return GF(x) |
| 693 | _augment(BinGroup, _tmp) |
| 694 | |
| 695 | class _tmp: |
| 696 | def __hash__(me): return 0x0ec23dab ^ hash(me.info) |
| 697 | def _get_geval(me, x): return x.toec() |
| 698 | _augment(ECGroup, _tmp) |
| 699 | |
| 700 | class _tmp: |
| 701 | def __repr__(me): |
| 702 | return '%r(%r)' % (me.group, str(me)) |
| 703 | def _repr_pretty_(me, pp, cyclep): |
| 704 | pp.pretty(type(me)._get_geval(me)) |
| 705 | _augment(GE, _tmp) |
| 706 | |
| 707 | ###-------------------------------------------------------------------------- |
| 708 | ### RSA encoding techniques. |
| 709 | |
| 710 | class PKCS1Crypt (object): |
| 711 | def __init__(me, ep = '', rng = rand): |
| 712 | me.ep = ep |
| 713 | me.rng = rng |
| 714 | def encode(me, msg, nbits): |
| 715 | return _base._p1crypt_encode(msg, nbits, me.ep, me.rng) |
| 716 | def decode(me, ct, nbits): |
| 717 | return _base._p1crypt_decode(ct, nbits, me.ep, me.rng) |
| 718 | |
| 719 | class PKCS1Sig (object): |
| 720 | def __init__(me, ep = '', rng = rand): |
| 721 | me.ep = ep |
| 722 | me.rng = rng |
| 723 | def encode(me, msg, nbits): |
| 724 | return _base._p1sig_encode(msg, nbits, me.ep, me.rng) |
| 725 | def decode(me, msg, sig, nbits): |
| 726 | return _base._p1sig_decode(msg, sig, nbits, me.ep, me.rng) |
| 727 | |
| 728 | class OAEP (object): |
| 729 | def __init__(me, mgf = sha_mgf, hash = sha, ep = '', rng = rand): |
| 730 | me.mgf = mgf |
| 731 | me.hash = hash |
| 732 | me.ep = ep |
| 733 | me.rng = rng |
| 734 | def encode(me, msg, nbits): |
| 735 | return _base._oaep_encode(msg, nbits, me.mgf, me.hash, me.ep, me.rng) |
| 736 | def decode(me, ct, nbits): |
| 737 | return _base._oaep_decode(ct, nbits, me.mgf, me.hash, me.ep, me.rng) |
| 738 | |
| 739 | class PSS (object): |
| 740 | def __init__(me, mgf = sha_mgf, hash = sha, saltsz = None, rng = rand): |
| 741 | me.mgf = mgf |
| 742 | me.hash = hash |
| 743 | if saltsz is None: |
| 744 | saltsz = hash.hashsz |
| 745 | me.saltsz = saltsz |
| 746 | me.rng = rng |
| 747 | def encode(me, msg, nbits): |
| 748 | return _base._pss_encode(msg, nbits, me.mgf, me.hash, me.saltsz, me.rng) |
| 749 | def decode(me, msg, sig, nbits): |
| 750 | return _base._pss_decode(msg, sig, nbits, |
| 751 | me.mgf, me.hash, me.saltsz, me.rng) |
| 752 | |
| 753 | class _tmp: |
| 754 | def encrypt(me, msg, enc): |
| 755 | return me.pubop(enc.encode(msg, me.n.nbits)) |
| 756 | def verify(me, msg, sig, enc): |
| 757 | if msg is None: return enc.decode(msg, me.pubop(sig), me.n.nbits) |
| 758 | try: |
| 759 | x = enc.decode(msg, me.pubop(sig), me.n.nbits) |
| 760 | return x is None or x == msg |
| 761 | except ValueError: |
| 762 | return False |
| 763 | def __repr__(me): |
| 764 | return '%s(n = %r, e = %r)' % (_clsname(me), me.n, me.e) |
| 765 | def _repr_pretty_(me, pp, cyclep): |
| 766 | ind = _pp_bgroup_tyname(pp, me) |
| 767 | if cyclep: |
| 768 | pp.text('...') |
| 769 | else: |
| 770 | _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable() |
| 771 | _pp_kv(pp, 'e', me.e) |
| 772 | pp.end_group(ind, ')') |
| 773 | _augment(RSAPub, _tmp) |
| 774 | |
| 775 | class _tmp: |
| 776 | def decrypt(me, ct, enc): return enc.decode(me.privop(ct), me.n.nbits) |
| 777 | def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits)) |
| 778 | def __repr__(me): |
| 779 | return '%s(n = %r, e = %r, d = %s, ' \ |
| 780 | 'p = %s, q = %s, dp = %s, dq = %s, q_inv = %s)' % \ |
| 781 | (_clsname(me), me.n, me.e, |
| 782 | _repr_secret(me.d), _repr_secret(me.p), _repr_secret(me.q), |
| 783 | _repr_secret(me.dp), _repr_secret(me.dq), _repr_secret(me.q_inv)) |
| 784 | def _repr_pretty_(me, pp, cyclep): |
| 785 | ind = _pp_bgroup_tyname(pp, me) |
| 786 | if cyclep: |
| 787 | pp.text('...') |
| 788 | else: |
| 789 | _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable() |
| 790 | _pp_kv(pp, 'e', me.e); pp.text(','); pp.breakable() |
| 791 | _pp_kv(pp, 'd', me.d, secretp = True); pp.text(','); pp.breakable() |
| 792 | _pp_kv(pp, 'p', me.p, secretp = True); pp.text(','); pp.breakable() |
| 793 | _pp_kv(pp, 'q', me.q, secretp = True); pp.text(','); pp.breakable() |
| 794 | _pp_kv(pp, 'dp', me.dp, secretp = True); pp.text(','); pp.breakable() |
| 795 | _pp_kv(pp, 'dq', me.dq, secretp = True); pp.text(','); pp.breakable() |
| 796 | _pp_kv(pp, 'q_inv', me.q_inv, secretp = True) |
| 797 | pp.end_group(ind, ')') |
| 798 | _augment(RSAPriv, _tmp) |
| 799 | |
| 800 | ###-------------------------------------------------------------------------- |
| 801 | ### DSA and related schemes. |
| 802 | |
| 803 | class _tmp: |
| 804 | def __repr__(me): return '%s(G = %r, p = %r)' % (_clsname(me), me.G, me.p) |
| 805 | def _repr_pretty_(me, pp, cyclep): |
| 806 | ind = _pp_bgroup_tyname(pp, me) |
| 807 | if cyclep: |
| 808 | pp.text('...') |
| 809 | else: |
| 810 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 811 | _pp_kv(pp, 'p', me.p) |
| 812 | pp.end_group(ind, ')') |
| 813 | _augment(DSAPub, _tmp) |
| 814 | _augment(KCDSAPub, _tmp) |
| 815 | |
| 816 | class _tmp: |
| 817 | def __repr__(me): return '%s(G = %r, u = %s, p = %r)' % \ |
| 818 | (_clsname(me), me.G, _repr_secret(me.u), me.p) |
| 819 | def _repr_pretty_(me, pp, cyclep): |
| 820 | ind = _pp_bgroup_tyname(pp, me) |
| 821 | if cyclep: |
| 822 | pp.text('...') |
| 823 | else: |
| 824 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 825 | _pp_kv(pp, 'u', me.u, True); pp.text(','); pp.breakable() |
| 826 | _pp_kv(pp, 'p', me.p) |
| 827 | pp.end_group(ind, ')') |
| 828 | _augment(DSAPriv, _tmp) |
| 829 | _augment(KCDSAPriv, _tmp) |
| 830 | |
| 831 | ###-------------------------------------------------------------------------- |
| 832 | ### Bernstein's elliptic curve crypto and related schemes. |
| 833 | |
| 834 | X25519_BASE = MP(9).storel(32) |
| 835 | X448_BASE = MP(5).storel(56) |
| 836 | |
| 837 | Z128 = ByteString.zero(16) |
| 838 | |
| 839 | class _BasePub (object): |
| 840 | def __init__(me, pub, *args, **kw): |
| 841 | if not me._PUBSZ.check(len(pub)): raise ValueError, 'bad public key' |
| 842 | super(_BasePub, me).__init__(*args, **kw) |
| 843 | me.pub = pub |
| 844 | def __repr__(me): return '%s(pub = %r)' % (_clsname(me), me.pub) |
| 845 | def _pp(me, pp): _pp_kv(pp, 'pub', me.pub) |
| 846 | def _repr_pretty_(me, pp, cyclep): |
| 847 | ind = _pp_bgroup_tyname(pp, me) |
| 848 | if cyclep: pp.text('...') |
| 849 | else: me._pp(pp) |
| 850 | pp.end_group(ind, ')') |
| 851 | |
| 852 | class _BasePriv (object): |
| 853 | def __init__(me, priv, pub = None, *args, **kw): |
| 854 | if not me._KEYSZ.check(len(priv)): raise ValueError, 'bad private key' |
| 855 | if pub is None: pub = me._pubkey(priv) |
| 856 | super(_BasePriv, me).__init__(pub = pub, *args, **kw) |
| 857 | me.priv = priv |
| 858 | @classmethod |
| 859 | def generate(cls, rng = rand): |
| 860 | return cls(rng.block(cls._KEYSZ.default)) |
| 861 | def __repr__(me): |
| 862 | return '%s(priv = %d, pub = %r)' % \ |
| 863 | (_clsname(me), _repr_secret(me.priv), me.pub) |
| 864 | def _pp(me, pp): |
| 865 | _pp_kv(pp, 'priv', me.priv, secretp = True); pp.text(','); pp.breakable() |
| 866 | super(_BasePriv, me)._pp(pp) |
| 867 | |
| 868 | class _XDHPub (_BasePub): pass |
| 869 | |
| 870 | class _XDHPriv (_BasePriv): |
| 871 | def _pubkey(me, priv): return me._op(priv, me._BASE) |
| 872 | def agree(me, you): return me._op(me.priv, you.pub) |
| 873 | def boxkey(me, recip): return me._hashkey(me.agree(recip)) |
| 874 | def box(me, recip, n, m): return secret_box(me.boxkey(recip), n, m) |
| 875 | def unbox(me, recip, n, c): return secret_unbox(me.boxkey(recip), n, c) |
| 876 | |
| 877 | class X25519Pub (_XDHPub): |
| 878 | _PUBSZ = KeySZSet(X25519_PUBSZ) |
| 879 | _BASE = X25519_BASE |
| 880 | |
| 881 | class X25519Priv (_XDHPriv, X25519Pub): |
| 882 | _KEYSZ = KeySZSet(X25519_KEYSZ) |
| 883 | def _op(me, k, X): return x25519(k, X) |
| 884 | def _hashkey(me, z): return hsalsa20_prf(z, Z128) |
| 885 | |
| 886 | class X448Pub (_XDHPub): |
| 887 | _PUBSZ = KeySZSet(X448_PUBSZ) |
| 888 | _BASE = X448_BASE |
| 889 | |
| 890 | class X448Priv (_XDHPriv, X448Pub): |
| 891 | _KEYSZ = KeySZSet(X448_KEYSZ) |
| 892 | def _op(me, k, X): return x448(k, X) |
| 893 | def _hashkey(me, z): return Shake256().hash(z).done(salsa20.keysz.default) |
| 894 | |
| 895 | class _EdDSAPub (_BasePub): |
| 896 | def beginhash(me): return me._HASH() |
| 897 | def endhash(me, h): return h.done() |
| 898 | |
| 899 | class _EdDSAPriv (_BasePriv, _EdDSAPub): |
| 900 | pass |
| 901 | |
| 902 | class Ed25519Pub (_EdDSAPub): |
| 903 | _PUBSZ = KeySZSet(ED25519_PUBSZ) |
| 904 | _HASH = sha512 |
| 905 | def verify(me, msg, sig, **kw): |
| 906 | return ed25519_verify(me.pub, msg, sig, **kw) |
| 907 | |
| 908 | class Ed25519Priv (_EdDSAPriv, Ed25519Pub): |
| 909 | _KEYSZ = KeySZAny(ED25519_KEYSZ) |
| 910 | def _pubkey(me, priv): return ed25519_pubkey(priv) |
| 911 | def sign(me, msg, **kw): |
| 912 | return ed25519_sign(me.priv, msg, pub = me.pub, **kw) |
| 913 | |
| 914 | class Ed448Pub (_EdDSAPub): |
| 915 | _PUBSZ = KeySZSet(ED448_PUBSZ) |
| 916 | _HASH = shake256 |
| 917 | def verify(me, msg, sig, **kw): |
| 918 | return ed448_verify(me.pub, msg, sig, **kw) |
| 919 | |
| 920 | class Ed448Priv (_EdDSAPriv, Ed448Pub): |
| 921 | _KEYSZ = KeySZAny(ED448_KEYSZ) |
| 922 | def _pubkey(me, priv): return ed448_pubkey(priv) |
| 923 | def sign(me, msg, **kw): |
| 924 | return ed448_sign(me.priv, msg, pub = me.pub, **kw) |
| 925 | |
| 926 | ###-------------------------------------------------------------------------- |
| 927 | ### Built-in named curves and prime groups. |
| 928 | |
| 929 | class _groupmap (object): |
| 930 | def __init__(me, map, nth): |
| 931 | me.map = map |
| 932 | me.nth = nth |
| 933 | me._n = max(map.values()) + 1 |
| 934 | me.i = me._n*[None] |
| 935 | def __repr__(me): |
| 936 | return '{%s}' % ', '.join(['%r: %r' % kv for kv in me.iteritems()]) |
| 937 | def _repr_pretty_(me, pp, cyclep): |
| 938 | ind = _pp_bgroup(pp, '{ ') |
| 939 | if cyclep: pp.text('...') |
| 940 | else: _pp_dict(pp, me.iteritems()) |
| 941 | pp.end_group(ind, ' }') |
| 942 | def __len__(me): |
| 943 | return me._n |
| 944 | def __contains__(me, k): |
| 945 | return k in me.map |
| 946 | def __getitem__(me, k): |
| 947 | i = me.map[k] |
| 948 | if me.i[i] is None: |
| 949 | me.i[i] = me.nth(i) |
| 950 | return me.i[i] |
| 951 | def __setitem__(me, k, v): |
| 952 | raise TypeError, "immutable object" |
| 953 | def __iter__(me): |
| 954 | return iter(me.map) |
| 955 | def iterkeys(me): |
| 956 | return iter(me.map) |
| 957 | def itervalues(me): |
| 958 | for k in me: |
| 959 | yield me[k] |
| 960 | def iteritems(me): |
| 961 | for k in me: |
| 962 | yield k, me[k] |
| 963 | def keys(me): |
| 964 | return [k for k in me] |
| 965 | def values(me): |
| 966 | return [me[k] for k in me] |
| 967 | def items(me): |
| 968 | return [(k, me[k]) for k in me] |
| 969 | eccurves = _groupmap(_base._eccurves, ECInfo._curven) |
| 970 | primegroups = _groupmap(_base._pgroups, DHInfo._groupn) |
| 971 | bingroups = _groupmap(_base._bingroups, BinDHInfo._groupn) |
| 972 | |
| 973 | ###-------------------------------------------------------------------------- |
| 974 | ### Prime number generation. |
| 975 | |
| 976 | class PrimeGenEventHandler (object): |
| 977 | def pg_begin(me, ev): |
| 978 | return me.pg_try(ev) |
| 979 | def pg_done(me, ev): |
| 980 | return PGEN_DONE |
| 981 | def pg_abort(me, ev): |
| 982 | return PGEN_TRY |
| 983 | def pg_fail(me, ev): |
| 984 | return PGEN_TRY |
| 985 | def pg_pass(me, ev): |
| 986 | return PGEN_TRY |
| 987 | |
| 988 | class SophieGermainStepJump (object): |
| 989 | def pg_begin(me, ev): |
| 990 | me.lf = PrimeFilter(ev.x) |
| 991 | me.hf = me.lf.muladd(2, 1) |
| 992 | return me.cont(ev) |
| 993 | def pg_try(me, ev): |
| 994 | me.step() |
| 995 | return me.cont(ev) |
| 996 | def cont(me, ev): |
| 997 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: |
| 998 | me.step() |
| 999 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: |
| 1000 | return PGEN_ABORT |
| 1001 | ev.x = me.lf.x |
| 1002 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: |
| 1003 | return PGEN_DONE |
| 1004 | return PGEN_TRY |
| 1005 | def pg_done(me, ev): |
| 1006 | del me.lf |
| 1007 | del me.hf |
| 1008 | |
| 1009 | class SophieGermainStepper (SophieGermainStepJump): |
| 1010 | def __init__(me, step): |
| 1011 | me.lstep = step; |
| 1012 | me.hstep = 2 * step |
| 1013 | def step(me): |
| 1014 | me.lf.step(me.lstep) |
| 1015 | me.hf.step(me.hstep) |
| 1016 | |
| 1017 | class SophieGermainJumper (SophieGermainStepJump): |
| 1018 | def __init__(me, jump): |
| 1019 | me.ljump = PrimeFilter(jump); |
| 1020 | me.hjump = me.ljump.muladd(2, 0) |
| 1021 | def step(me): |
| 1022 | me.lf.jump(me.ljump) |
| 1023 | me.hf.jump(me.hjump) |
| 1024 | def pg_done(me, ev): |
| 1025 | del me.ljump |
| 1026 | del me.hjump |
| 1027 | SophieGermainStepJump.pg_done(me, ev) |
| 1028 | |
| 1029 | class SophieGermainTester (object): |
| 1030 | def __init__(me): |
| 1031 | pass |
| 1032 | def pg_begin(me, ev): |
| 1033 | me.lr = RabinMiller(ev.x) |
| 1034 | me.hr = RabinMiller(2 * ev.x + 1) |
| 1035 | def pg_try(me, ev): |
| 1036 | lst = me.lr.test(ev.rng.range(me.lr.x)) |
| 1037 | if lst != PGEN_PASS and lst != PGEN_DONE: |
| 1038 | return lst |
| 1039 | rst = me.hr.test(ev.rng.range(me.hr.x)) |
| 1040 | if rst != PGEN_PASS and rst != PGEN_DONE: |
| 1041 | return rst |
| 1042 | if lst == PGEN_DONE and rst == PGEN_DONE: |
| 1043 | return PGEN_DONE |
| 1044 | return PGEN_PASS |
| 1045 | def pg_done(me, ev): |
| 1046 | del me.lr |
| 1047 | del me.hr |
| 1048 | |
| 1049 | class PrimitiveStepper (PrimeGenEventHandler): |
| 1050 | def __init__(me): |
| 1051 | pass |
| 1052 | def pg_try(me, ev): |
| 1053 | ev.x = me.i.next() |
| 1054 | return PGEN_TRY |
| 1055 | def pg_begin(me, ev): |
| 1056 | me.i = iter(smallprimes) |
| 1057 | return me.pg_try(ev) |
| 1058 | |
| 1059 | class PrimitiveTester (PrimeGenEventHandler): |
| 1060 | def __init__(me, mod, hh = [], exp = None): |
| 1061 | me.mod = MPMont(mod) |
| 1062 | me.exp = exp |
| 1063 | me.hh = hh |
| 1064 | def pg_try(me, ev): |
| 1065 | x = ev.x |
| 1066 | if me.exp is not None: |
| 1067 | x = me.mod.exp(x, me.exp) |
| 1068 | if x == 1: return PGEN_FAIL |
| 1069 | for h in me.hh: |
| 1070 | if me.mod.exp(x, h) == 1: return PGEN_FAIL |
| 1071 | ev.x = x |
| 1072 | return PGEN_DONE |
| 1073 | |
| 1074 | class SimulStepper (PrimeGenEventHandler): |
| 1075 | def __init__(me, mul = 2, add = 1, step = 2): |
| 1076 | me.step = step |
| 1077 | me.mul = mul |
| 1078 | me.add = add |
| 1079 | def _stepfn(me, step): |
| 1080 | if step <= 0: |
| 1081 | raise ValueError, 'step must be positive' |
| 1082 | if step <= MPW_MAX: |
| 1083 | return lambda f: f.step(step) |
| 1084 | j = PrimeFilter(step) |
| 1085 | return lambda f: f.jump(j) |
| 1086 | def pg_begin(me, ev): |
| 1087 | x = ev.x |
| 1088 | me.lf = PrimeFilter(x) |
| 1089 | me.hf = PrimeFilter(x * me.mul + me.add) |
| 1090 | me.lstep = me._stepfn(me.step) |
| 1091 | me.hstep = me._stepfn(me.step * me.mul) |
| 1092 | SimulStepper._cont(me, ev) |
| 1093 | def pg_try(me, ev): |
| 1094 | me._step() |
| 1095 | me._cont(ev) |
| 1096 | def _step(me): |
| 1097 | me.lstep(me.lf) |
| 1098 | me.hstep(me.hf) |
| 1099 | def _cont(me, ev): |
| 1100 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: |
| 1101 | me._step() |
| 1102 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: |
| 1103 | return PGEN_ABORT |
| 1104 | ev.x = me.lf.x |
| 1105 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: |
| 1106 | return PGEN_DONE |
| 1107 | return PGEN_TRY |
| 1108 | def pg_done(me, ev): |
| 1109 | del me.lf |
| 1110 | del me.hf |
| 1111 | del me.lstep |
| 1112 | del me.hstep |
| 1113 | |
| 1114 | class SimulTester (PrimeGenEventHandler): |
| 1115 | def __init__(me, mul = 2, add = 1): |
| 1116 | me.mul = mul |
| 1117 | me.add = add |
| 1118 | def pg_begin(me, ev): |
| 1119 | x = ev.x |
| 1120 | me.lr = RabinMiller(x) |
| 1121 | me.hr = RabinMiller(x * me.mul + me.add) |
| 1122 | def pg_try(me, ev): |
| 1123 | lst = me.lr.test(ev.rng.range(me.lr.x)) |
| 1124 | if lst != PGEN_PASS and lst != PGEN_DONE: |
| 1125 | return lst |
| 1126 | rst = me.hr.test(ev.rng.range(me.hr.x)) |
| 1127 | if rst != PGEN_PASS and rst != PGEN_DONE: |
| 1128 | return rst |
| 1129 | if lst == PGEN_DONE and rst == PGEN_DONE: |
| 1130 | return PGEN_DONE |
| 1131 | return PGEN_PASS |
| 1132 | def pg_done(me, ev): |
| 1133 | del me.lr |
| 1134 | del me.hr |
| 1135 | |
| 1136 | def sgprime(start, step = 2, name = 'p', event = pgen_nullev, nsteps = 0): |
| 1137 | start = MP(start) |
| 1138 | return pgen(start, name, SimulStepper(step = step), SimulTester(), event, |
| 1139 | nsteps, RabinMiller.iters(start.nbits)) |
| 1140 | |
| 1141 | def findprimitive(mod, hh = [], exp = None, name = 'g', event = pgen_nullev): |
| 1142 | return pgen(0, name, PrimitiveStepper(), PrimitiveTester(mod, hh, exp), |
| 1143 | event, 0, 1) |
| 1144 | |
| 1145 | def kcdsaprime(pbits, qbits, rng = rand, |
| 1146 | event = pgen_nullev, name = 'p', nsteps = 0): |
| 1147 | hbits = pbits - qbits |
| 1148 | h = pgen(rng.mp(hbits, 1), name + ' [h]', |
| 1149 | PrimeGenStepper(2), PrimeGenTester(), |
| 1150 | event, nsteps, RabinMiller.iters(hbits)) |
| 1151 | q = pgen(rng.mp(qbits, 1), name, SimulStepper(2 * h, 1, 2), |
| 1152 | SimulTester(2 * h, 1), event, nsteps, RabinMiller.iters(qbits)) |
| 1153 | p = 2 * q * h + 1 |
| 1154 | return p, q, h |
| 1155 | |
| 1156 | #----- That's all, folks ---------------------------------------------------- |