| 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 | from binascii import hexlify as _hexify, unhexlify as _unhexify |
| 29 | from contextlib import contextmanager as _ctxmgr |
| 30 | try: import DLFCN as _dlfcn |
| 31 | except ImportError: _dlfcn = None |
| 32 | import os as _os |
| 33 | from struct import pack as _pack |
| 34 | import sys as _sys |
| 35 | import types as _types |
| 36 | |
| 37 | ###-------------------------------------------------------------------------- |
| 38 | ### Import the main C extension module. |
| 39 | |
| 40 | try: |
| 41 | _dlflags = _odlflags = _sys.getdlopenflags() |
| 42 | except AttributeError: |
| 43 | _dlflags = _odlflags = -1 |
| 44 | |
| 45 | ## Set the `deep binding' flag. Python has its own different MD5 |
| 46 | ## implementation, and some distributions export `md5_init' and friends so |
| 47 | ## they override our versions, which doesn't end well. Figure out how to |
| 48 | ## turn this flag on so we don't have the problem. |
| 49 | if _dlflags >= 0: |
| 50 | try: _dlflags |= _dlfcn.RTLD_DEEPBIND |
| 51 | except AttributeError: |
| 52 | try: _dlflags |= _os.RTLD_DEEPBIND |
| 53 | except AttributeError: |
| 54 | if _os.uname()[0] == 'Linux': _dlflags |= 8 # magic knowledge |
| 55 | else: pass # can't do this. |
| 56 | _sys.setdlopenflags(_dlflags) |
| 57 | |
| 58 | if _sys.version_info >= (3,): from . import _base |
| 59 | else: import _base |
| 60 | |
| 61 | if _odlflags >= 0: |
| 62 | _sys.setdlopenflags(_odlflags) |
| 63 | |
| 64 | del _dlflags, _odlflags |
| 65 | |
| 66 | ###-------------------------------------------------------------------------- |
| 67 | ### Basic stuff. |
| 68 | |
| 69 | ## For the benefit of the default keyreporter, we need the program name. |
| 70 | _base._ego(_sys.argv[0]) |
| 71 | |
| 72 | ## Register our module. |
| 73 | _base._set_home_module(_sys.modules[__name__]) |
| 74 | def default_lostexchook(why, ty, val, tb): |
| 75 | """`catacomb.lostexchook(WHY, TY, VAL, TB)' reports lost exceptions.""" |
| 76 | _sys.stderr.write("\n\n!!! LOST EXCEPTION: %s\n" % why) |
| 77 | _sys.excepthook(ty, val, tb) |
| 78 | _sys.stderr.write("\n") |
| 79 | lostexchook = default_lostexchook |
| 80 | |
| 81 | ## Text/binary conversions. |
| 82 | if _sys.version_info >= (3,): |
| 83 | def _bin(s): return s.encode('iso8859-1') |
| 84 | else: |
| 85 | def _bin(s): return s |
| 86 | |
| 87 | ## Iterating over dictionaries. |
| 88 | if _sys.version_info >= (3,): |
| 89 | def _iteritems(dict): return dict.items() |
| 90 | def _itervalues(dict): return dict.values() |
| 91 | else: |
| 92 | def _iteritems(dict): return dict.iteritems() |
| 93 | def _itervalues(dict): return dict.itervalues() |
| 94 | |
| 95 | ## The built-in bignum type. |
| 96 | try: long |
| 97 | except NameError: _long = int |
| 98 | else: _long = long |
| 99 | |
| 100 | ## How to fix a name back into the right identifier. Alas, the rules are not |
| 101 | ## consistent. |
| 102 | def _fixname(name): |
| 103 | |
| 104 | ## Hyphens consistently become underscores. |
| 105 | name = name.replace('-', '_') |
| 106 | |
| 107 | ## But slashes might become underscores or just vanish. |
| 108 | if name.startswith('salsa20'): name = name.replace('/', '') |
| 109 | else: name = name.replace('/', '_') |
| 110 | |
| 111 | ## Done. |
| 112 | return name |
| 113 | |
| 114 | ## Initialize the module. Drag in the static methods of the various |
| 115 | ## classes; create names for the various known crypto algorithms. |
| 116 | def _init(): |
| 117 | d = globals() |
| 118 | b = _base.__dict__; |
| 119 | for i in b: |
| 120 | if i[0] != '_': |
| 121 | d[i] = b[i]; |
| 122 | for i in [gcciphers, gcaeads, gchashes, gcmacs, gcprps]: |
| 123 | for c in _itervalues(i): |
| 124 | d[_fixname(c.name)] = c |
| 125 | for c in _itervalues(gccrands): |
| 126 | d[_fixname(c.name + 'rand')] = c |
| 127 | _init() |
| 128 | |
| 129 | ## A handy function for our work: add the methods of a named class to an |
| 130 | ## existing class. This is how we write the Python-implemented parts of our |
| 131 | ## mostly-C types. |
| 132 | def _augment(c, cc): |
| 133 | for i in cc.__dict__: |
| 134 | a = cc.__dict__[i] |
| 135 | if type(a) is _types.MethodType: |
| 136 | a = a.im_func |
| 137 | elif type(a) not in (_types.FunctionType, staticmethod, classmethod): |
| 138 | continue |
| 139 | setattr(c, i, a) |
| 140 | |
| 141 | ## Parsing functions tend to return the object parsed and the remainder of |
| 142 | ## the input. This checks that the remainder is input and, if so, returns |
| 143 | ## just the object. |
| 144 | def _checkend(r): |
| 145 | x, rest = r |
| 146 | if rest != '': |
| 147 | raise SyntaxError('junk at end of string') |
| 148 | return x |
| 149 | |
| 150 | ## Some pretty-printing utilities. |
| 151 | PRINT_SECRETS = False |
| 152 | def _clsname(me): return type(me).__name__ |
| 153 | def _repr_secret(thing, secretp = True): |
| 154 | if not secretp or PRINT_SECRETS: return repr(thing) |
| 155 | else: return '#<SECRET>' |
| 156 | def _pp_str(me, pp, cyclep): pp.text(cyclep and '...' or str(me)) |
| 157 | def _pp_secret(pp, thing, secretp = True): |
| 158 | if not secretp or PRINT_SECRETS: pp.pretty(thing) |
| 159 | else: pp.text('#<SECRET>') |
| 160 | def _pp_bgroup(pp, text): |
| 161 | ind = len(text) |
| 162 | pp.begin_group(ind, text) |
| 163 | return ind |
| 164 | def _pp_bgroup_tyname(pp, obj, open = '('): |
| 165 | return _pp_bgroup(pp, _clsname(obj) + open) |
| 166 | def _pp_kv(pp, k, v, secretp = False): |
| 167 | ind = _pp_bgroup(pp, k + ' = ') |
| 168 | _pp_secret(pp, v, secretp) |
| 169 | pp.end_group(ind, '') |
| 170 | def _pp_commas(pp, printfn, items): |
| 171 | firstp = True |
| 172 | for i in items: |
| 173 | if firstp: firstp = False |
| 174 | else: pp.text(','); pp.breakable() |
| 175 | printfn(i) |
| 176 | def _pp_dict(pp, items): |
| 177 | def p(kv): |
| 178 | k, v = kv |
| 179 | pp.begin_group(0) |
| 180 | pp.pretty(k) |
| 181 | pp.text(':') |
| 182 | pp.begin_group(2) |
| 183 | pp.breakable() |
| 184 | pp.pretty(v) |
| 185 | pp.end_group(2) |
| 186 | pp.end_group(0) |
| 187 | _pp_commas(pp, p, items) |
| 188 | |
| 189 | ###-------------------------------------------------------------------------- |
| 190 | ### Mappings. |
| 191 | |
| 192 | if _sys.version_info >= (3,): |
| 193 | class _tmp: |
| 194 | def __str__(me): return '%s(%r)' % (type(me).__name__, list(me)) |
| 195 | __repr__ = __str__ |
| 196 | def _repr_pretty_(me, pp, cyclep): |
| 197 | ind = _pp_bgroup_tyname(pp, me, '([') |
| 198 | _pp_commas(pp, pp.pretty, me) |
| 199 | pp.end_group(ind, '])') |
| 200 | _augment(_base._KeyView, _tmp) |
| 201 | _augment(_base._ValueView, _tmp) |
| 202 | _augment(_base._ItemView, _tmp) |
| 203 | |
| 204 | ###-------------------------------------------------------------------------- |
| 205 | ### Bytestrings. |
| 206 | |
| 207 | class _tmp: |
| 208 | def fromhex(x): |
| 209 | return ByteString(_unhexify(x)) |
| 210 | fromhex = staticmethod(fromhex) |
| 211 | if _sys.version_info >= (3,): |
| 212 | def hex(me): return _hexify(me).decode() |
| 213 | else: |
| 214 | def hex(me): return _hexify(me) |
| 215 | __hex__ = hex |
| 216 | def __repr__(me): |
| 217 | return 'bytes(%r)' % me.hex() |
| 218 | _augment(ByteString, _tmp) |
| 219 | ByteString.__hash__ = str.__hash__ |
| 220 | bytes = ByteString.fromhex |
| 221 | |
| 222 | ###-------------------------------------------------------------------------- |
| 223 | ### Symmetric encryption. |
| 224 | |
| 225 | class _tmp: |
| 226 | def encrypt(me, n, m, tsz = None, h = ByteString.zero(0)): |
| 227 | if tsz is None: tsz = me.__class__.tagsz.default |
| 228 | e = me.enc(n, len(h), len(m), tsz) |
| 229 | if not len(h): a = None |
| 230 | else: a = e.aad().hash(h) |
| 231 | c0 = e.encrypt(m) |
| 232 | c1, t = e.done(aad = a) |
| 233 | return c0 + c1, t |
| 234 | def decrypt(me, n, c, t, h = ByteString.zero(0)): |
| 235 | d = me.dec(n, len(h), len(c), len(t)) |
| 236 | if not len(h): a = None |
| 237 | else: a = d.aad().hash(h) |
| 238 | m = d.decrypt(c) |
| 239 | m += d.done(t, aad = a) |
| 240 | return m |
| 241 | _augment(GAEKey, _tmp) |
| 242 | |
| 243 | ###-------------------------------------------------------------------------- |
| 244 | ### Hashing. |
| 245 | |
| 246 | class _tmp: |
| 247 | def check(me, h): |
| 248 | hh = me.done() |
| 249 | return ctstreq(h, hh) |
| 250 | _augment(GHash, _tmp) |
| 251 | _augment(Poly1305Hash, _tmp) |
| 252 | |
| 253 | class _tmp: |
| 254 | def check(me, h): |
| 255 | return ctstreq(h, me.done(len(h))) |
| 256 | _augment(Shake, _tmp) |
| 257 | |
| 258 | KMAC128.keysz = KeySZAny(16); KMAC128.tagsz = 16 |
| 259 | KMAC256.keysz = KeySZAny(32); KMAC256.tagsz = 32 |
| 260 | |
| 261 | ###-------------------------------------------------------------------------- |
| 262 | ### NaCl `secretbox'. |
| 263 | |
| 264 | def secret_box(k, n, m): |
| 265 | y, t = salsa20_naclbox(k).encrypt(n, m) |
| 266 | return t + y |
| 267 | |
| 268 | def secret_unbox(k, n, c): |
| 269 | tsz = poly1305.tagsz |
| 270 | return salsa20_naclbox(k).decrypt(n, c[tsz:], c[0:tsz]) |
| 271 | |
| 272 | ###-------------------------------------------------------------------------- |
| 273 | ### Multiprecision integers and binary polynomials. |
| 274 | |
| 275 | class BaseRat (object): |
| 276 | """Base class implementing fields of fractions over Euclidean domains.""" |
| 277 | def __new__(cls, a, b): |
| 278 | a, b = cls.RING._implicit(a), cls.RING._implicit(b) |
| 279 | q, r = divmod(a, b) |
| 280 | if r == cls.ZERO: return q |
| 281 | g = b.gcd(r) |
| 282 | me = super(BaseRat, cls).__new__(cls) |
| 283 | me._n = a//g |
| 284 | me._d = b//g |
| 285 | return me |
| 286 | @property |
| 287 | def numer(me): return me._n |
| 288 | @property |
| 289 | def denom(me): return me._d |
| 290 | def __str__(me): return '%s/%s' % (me._n, me._d) |
| 291 | def __repr__(me): return '%s(%s, %s)' % (_clsname(me), me._n, me._d) |
| 292 | _repr_pretty_ = _pp_str |
| 293 | |
| 294 | def _split_rat(me, x): |
| 295 | if isinstance(x, me.__class__): return x._n, x._d |
| 296 | else: return x, me.ONE |
| 297 | def __add__(me, you): |
| 298 | n, d = me._split_rat(you) |
| 299 | return type(me)(me._n*d + n*me._d, d*me._d) |
| 300 | __radd__ = __add__ |
| 301 | def __sub__(me, you): |
| 302 | n, d = me._split_rat(you) |
| 303 | return type(me)(me._n*d - n*me._d, d*me._d) |
| 304 | def __rsub__(me, you): |
| 305 | n, d = me._split_rat(you) |
| 306 | return type(me)(n*me._d - me._n*d, d*me._d) |
| 307 | def __mul__(me, you): |
| 308 | n, d = me._split_rat(you) |
| 309 | return type(me)(me._n*n, me._d*d) |
| 310 | __rmul__ = __mul__ |
| 311 | def __truediv__(me, you): |
| 312 | n, d = me._split_rat(you) |
| 313 | return type(me)(me._n*d, me._d*n) |
| 314 | def __rtruediv__(me, you): |
| 315 | n, d = me._split_rat(you) |
| 316 | return type(me)(me._d*n, me._n*d) |
| 317 | if _sys.version_info < (3,): |
| 318 | __div__ = __truediv__ |
| 319 | __rdiv__ = __rtruediv__ |
| 320 | def _order(me, you, op): |
| 321 | n, d = me._split_rat(you) |
| 322 | return op(me._n*d, n*me._d) |
| 323 | def __eq__(me, you): return me._order(you, lambda x, y: x == y) |
| 324 | def __ne__(me, you): return me._order(you, lambda x, y: x != y) |
| 325 | def __le__(me, you): return me._order(you, lambda x, y: x <= y) |
| 326 | def __lt__(me, you): return me._order(you, lambda x, y: x < y) |
| 327 | def __gt__(me, you): return me._order(you, lambda x, y: x > y) |
| 328 | def __ge__(me, you): return me._order(you, lambda x, y: x >= y) |
| 329 | |
| 330 | class IntRat (BaseRat): |
| 331 | RING = MP |
| 332 | ZERO, ONE = MP(0), MP(1) |
| 333 | def __new__(cls, a, b): |
| 334 | if isinstance(a, float) or isinstance(b, float): return a/b |
| 335 | return super(IntRat, cls).__new__(cls, a, b) |
| 336 | def __float__(me): return float(me._n)/float(me._d) |
| 337 | |
| 338 | class GFRat (BaseRat): |
| 339 | RING = GF |
| 340 | ZERO, ONE = GF(0), GF(1) |
| 341 | |
| 342 | class _tmp: |
| 343 | def negp(x): return x < 0 |
| 344 | def posp(x): return x > 0 |
| 345 | def zerop(x): return x == 0 |
| 346 | def oddp(x): return x.testbit(0) |
| 347 | def evenp(x): return not x.testbit(0) |
| 348 | def mont(x): return MPMont(x) |
| 349 | def barrett(x): return MPBarrett(x) |
| 350 | def reduce(x): return MPReduce(x) |
| 351 | def __truediv__(me, you): |
| 352 | if isinstance(you, float): return _long(me)/you |
| 353 | else: return IntRat(me, you) |
| 354 | def __rtruediv__(me, you): |
| 355 | if isinstance(you, float): return you/_long(me) |
| 356 | else: return IntRat(you, me) |
| 357 | if _sys.version_info < (3,): |
| 358 | __div__ = __truediv__ |
| 359 | __rdiv__ = __rtruediv__ |
| 360 | _repr_pretty_ = _pp_str |
| 361 | _augment(MP, _tmp) |
| 362 | |
| 363 | class _tmp: |
| 364 | def zerop(x): return x == 0 |
| 365 | def reduce(x): return GFReduce(x) |
| 366 | def trace(x, y): return x.reduce().trace(y) |
| 367 | def halftrace(x, y): return x.reduce().halftrace(y) |
| 368 | def modsqrt(x, y): return x.reduce().sqrt(y) |
| 369 | def quadsolve(x, y): return x.reduce().quadsolve(y) |
| 370 | def __truediv__(me, you): return GFRat(me, you) |
| 371 | def __rtruediv__(me, you): return GFRat(you, me) |
| 372 | if _sys.version_info < (3,): |
| 373 | __div__ = __truediv__ |
| 374 | __rdiv__ = __rtruediv__ |
| 375 | _repr_pretty_ = _pp_str |
| 376 | _augment(GF, _tmp) |
| 377 | |
| 378 | class _tmp: |
| 379 | def product(*arg): |
| 380 | 'product(ITERABLE) or product(I, ...) -> PRODUCT' |
| 381 | return MPMul(*arg).done() |
| 382 | product = staticmethod(product) |
| 383 | _augment(MPMul, _tmp) |
| 384 | |
| 385 | ###-------------------------------------------------------------------------- |
| 386 | ### Abstract fields. |
| 387 | |
| 388 | class _tmp: |
| 389 | def fromstring(str): return _checkend(Field.parse(str)) |
| 390 | fromstring = staticmethod(fromstring) |
| 391 | _augment(Field, _tmp) |
| 392 | |
| 393 | class _tmp: |
| 394 | def __repr__(me): return '%s(%s)' % (_clsname(me), me.p) |
| 395 | def __hash__(me): return 0x114401de ^ hash(me.p) |
| 396 | def _repr_pretty_(me, pp, cyclep): |
| 397 | ind = _pp_bgroup_tyname(pp, me) |
| 398 | if cyclep: pp.text('...') |
| 399 | else: pp.pretty(me.p) |
| 400 | pp.end_group(ind, ')') |
| 401 | def ec(me, a, b): return ECPrimeProjCurve(me, a, b) |
| 402 | _augment(PrimeField, _tmp) |
| 403 | |
| 404 | class _tmp: |
| 405 | def __repr__(me): return '%s(%#x)' % (_clsname(me), me.p) |
| 406 | def ec(me, a, b): return ECBinProjCurve(me, a, b) |
| 407 | def _repr_pretty_(me, pp, cyclep): |
| 408 | ind = _pp_bgroup_tyname(pp, me) |
| 409 | if cyclep: pp.text('...') |
| 410 | else: pp.text('%#x' % me.p) |
| 411 | pp.end_group(ind, ')') |
| 412 | _augment(BinField, _tmp) |
| 413 | |
| 414 | class _tmp: |
| 415 | def __hash__(me): return 0x23e4701c ^ hash(me.p) |
| 416 | _augment(BinPolyField, _tmp) |
| 417 | |
| 418 | class _tmp: |
| 419 | def __hash__(me): |
| 420 | h = 0x9a7d6240 |
| 421 | h ^= hash(me.p) |
| 422 | h ^= 2*hash(me.beta) & 0xffffffff |
| 423 | return h |
| 424 | _augment(BinNormField, _tmp) |
| 425 | |
| 426 | class _tmp: |
| 427 | def __str__(me): return str(me.value) |
| 428 | def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value)) |
| 429 | _repr_pretty_ = _pp_str |
| 430 | _augment(FE, _tmp) |
| 431 | |
| 432 | ###-------------------------------------------------------------------------- |
| 433 | ### Elliptic curves. |
| 434 | |
| 435 | class _tmp: |
| 436 | def __repr__(me): |
| 437 | return '%s(%r, %s, %s)' % (_clsname(me), me.field, me.a, me.b) |
| 438 | def _repr_pretty_(me, pp, cyclep): |
| 439 | ind = _pp_bgroup_tyname(pp, me) |
| 440 | if cyclep: |
| 441 | pp.text('...') |
| 442 | else: |
| 443 | pp.pretty(me.field); pp.text(','); pp.breakable() |
| 444 | pp.pretty(me.a); pp.text(','); pp.breakable() |
| 445 | pp.pretty(me.b) |
| 446 | pp.end_group(ind, ')') |
| 447 | def frombuf(me, s): |
| 448 | return ecpt.frombuf(me, s) |
| 449 | def fromraw(me, s): |
| 450 | return ecpt.fromraw(me, s) |
| 451 | def pt(me, *args): |
| 452 | return me(*args) |
| 453 | _augment(ECCurve, _tmp) |
| 454 | |
| 455 | class _tmp: |
| 456 | def __hash__(me): |
| 457 | h = 0x6751d341 |
| 458 | h ^= hash(me.field) |
| 459 | h ^= 2*hash(me.a) ^ 0xffffffff |
| 460 | h ^= 5*hash(me.b) ^ 0xffffffff |
| 461 | return h |
| 462 | _augment(ECPrimeCurve, _tmp) |
| 463 | |
| 464 | class _tmp: |
| 465 | def __hash__(me): |
| 466 | h = 0x2ac203c5 |
| 467 | h ^= hash(me.field) |
| 468 | h ^= 2*hash(me.a) ^ 0xffffffff |
| 469 | h ^= 5*hash(me.b) ^ 0xffffffff |
| 470 | return h |
| 471 | _augment(ECBinCurve, _tmp) |
| 472 | |
| 473 | class _tmp: |
| 474 | def __repr__(me): |
| 475 | if not me: return '%s()' % _clsname(me) |
| 476 | return '%s(%s, %s)' % (_clsname(me), me.ix, me.iy) |
| 477 | def __str__(me): |
| 478 | if not me: return 'inf' |
| 479 | return '(%s, %s)' % (me.ix, me.iy) |
| 480 | def _repr_pretty_(me, pp, cyclep): |
| 481 | if cyclep: |
| 482 | pp.text('...') |
| 483 | elif not me: |
| 484 | pp.text('inf') |
| 485 | else: |
| 486 | ind = _pp_bgroup(pp, '(') |
| 487 | pp.pretty(me.ix); pp.text(','); pp.breakable() |
| 488 | pp.pretty(me.iy) |
| 489 | pp.end_group(ind, ')') |
| 490 | _augment(ECPt, _tmp) |
| 491 | |
| 492 | class _tmp: |
| 493 | def __repr__(me): |
| 494 | return '%s(curve = %r, G = %r, r = %s, h = %s)' % \ |
| 495 | (_clsname(me), me.curve, me.G, me.r, me.h) |
| 496 | def _repr_pretty_(me, pp, cyclep): |
| 497 | ind = _pp_bgroup_tyname(pp, me) |
| 498 | if cyclep: |
| 499 | pp.text('...') |
| 500 | else: |
| 501 | _pp_kv(pp, 'curve', me.curve); pp.text(','); pp.breakable() |
| 502 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 503 | _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable() |
| 504 | _pp_kv(pp, 'h', me.h) |
| 505 | pp.end_group(ind, ')') |
| 506 | def __hash__(me): |
| 507 | h = 0x9bedb8de |
| 508 | h ^= hash(me.curve) |
| 509 | h ^= 2*hash(me.G) & 0xffffffff |
| 510 | return h |
| 511 | def group(me): |
| 512 | return ECGroup(me) |
| 513 | _augment(ECInfo, _tmp) |
| 514 | |
| 515 | class _tmp: |
| 516 | def __repr__(me): |
| 517 | if not me: return '%r()' % (me.curve) |
| 518 | return '%r(%s, %s)' % (me.curve, me.x, me.y) |
| 519 | def __str__(me): |
| 520 | if not me: return 'inf' |
| 521 | return '(%s, %s)' % (me.x, me.y) |
| 522 | def _repr_pretty_(me, pp, cyclep): |
| 523 | if cyclep: |
| 524 | pp.text('...') |
| 525 | elif not me: |
| 526 | pp.text('inf') |
| 527 | else: |
| 528 | ind = _pp_bgroup(pp, '(') |
| 529 | pp.pretty(me.x); pp.text(','); pp.breakable() |
| 530 | pp.pretty(me.y) |
| 531 | pp.end_group(ind, ')') |
| 532 | _augment(ECPtCurve, _tmp) |
| 533 | |
| 534 | ###-------------------------------------------------------------------------- |
| 535 | ### Key sizes. |
| 536 | |
| 537 | class _tmp: |
| 538 | def __repr__(me): return '%s(%d)' % (_clsname(me), me.default) |
| 539 | def check(me, sz): return True |
| 540 | def best(me, sz): return sz |
| 541 | def pad(me, sz): return sz |
| 542 | _augment(KeySZAny, _tmp) |
| 543 | |
| 544 | class _tmp: |
| 545 | def __repr__(me): |
| 546 | return '%s(%d, %d, %d, %d)' % \ |
| 547 | (_clsname(me), me.default, me.min, me.max, me.mod) |
| 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 | pp.pretty(me.min); pp.text(','); pp.breakable() |
| 555 | pp.pretty(me.max); pp.text(','); pp.breakable() |
| 556 | pp.pretty(me.mod) |
| 557 | pp.end_group(ind, ')') |
| 558 | def check(me, sz): return me.min <= sz <= me.max and sz%me.mod == 0 |
| 559 | def best(me, sz): |
| 560 | if sz < me.min: raise ValueError('key too small') |
| 561 | elif me.max is not None and sz > me.max: return me.max |
| 562 | else: return sz - sz%me.mod |
| 563 | def pad(me, sz): |
| 564 | if me.max is not None and sz > me.max: raise ValueError('key too large') |
| 565 | elif sz < me.min: return me.min |
| 566 | else: sz += me.mod - 1; return sz - sz%me.mod |
| 567 | _augment(KeySZRange, _tmp) |
| 568 | |
| 569 | class _tmp: |
| 570 | def __repr__(me): return '%s(%d, %s)' % (_clsname(me), me.default, me.set) |
| 571 | def _repr_pretty_(me, pp, cyclep): |
| 572 | ind = _pp_bgroup_tyname(pp, me) |
| 573 | if cyclep: |
| 574 | pp.text('...') |
| 575 | else: |
| 576 | pp.pretty(me.default); pp.text(','); pp.breakable() |
| 577 | ind1 = _pp_bgroup(pp, '{') |
| 578 | _pp_commas(pp, pp.pretty, me.set) |
| 579 | pp.end_group(ind1, '}') |
| 580 | pp.end_group(ind, ')') |
| 581 | def check(me, sz): return sz in me.set |
| 582 | def best(me, sz): |
| 583 | found = -1 |
| 584 | for i in me.set: |
| 585 | if found < i <= sz: found = i |
| 586 | if found < 0: raise ValueError('key too small') |
| 587 | return found |
| 588 | def pad(me, sz): |
| 589 | found = -1 |
| 590 | for i in me.set: |
| 591 | if sz <= i and (found == -1 or i < found): found = i |
| 592 | if found < 0: raise ValueError('key too large') |
| 593 | return found |
| 594 | _augment(KeySZSet, _tmp) |
| 595 | |
| 596 | ###-------------------------------------------------------------------------- |
| 597 | ### Key data objects. |
| 598 | |
| 599 | class _tmp: |
| 600 | def merge(me, file, report = None): |
| 601 | """KF.merge(FILE, [report = <built-in-reporter>])""" |
| 602 | name = file.name |
| 603 | lno = 1 |
| 604 | for line in file: |
| 605 | me.mergeline(name, lno, line, report) |
| 606 | lno += 1 |
| 607 | return me |
| 608 | def __repr__(me): return '%s(%r)' % (_clsname(me), me.name) |
| 609 | _augment(KeyFile, _tmp) |
| 610 | |
| 611 | class _tmp: |
| 612 | def extract(me, file, filter = ''): |
| 613 | """KEY.extract(FILE, [filter = <any>])""" |
| 614 | line = me.extractline(filter) |
| 615 | file.write(line) |
| 616 | return me |
| 617 | def __repr__(me): return '%s(%r)' % (_clsname(me), me.fulltag) |
| 618 | _augment(Key, _tmp) |
| 619 | |
| 620 | class _tmp: |
| 621 | def __repr__(me): |
| 622 | return '%s({%s})' % (_clsname(me), |
| 623 | ', '.join(['%r: %r' % kv for kv in _iteritems(me)()])) |
| 624 | def _repr_pretty_(me, pp, cyclep): |
| 625 | ind = _pp_bgroup_tyname(pp, me) |
| 626 | if cyclep: pp.text('...') |
| 627 | else: _pp_dict(pp, _iteritems(me)) |
| 628 | pp.end_group(ind, ')') |
| 629 | _augment(KeyAttributes, _tmp) |
| 630 | |
| 631 | class _tmp: |
| 632 | def __repr__(me): |
| 633 | return '%s(%s, %r)' % (_clsname(me), |
| 634 | _repr_secret(me._guts(), |
| 635 | not (me.flags & KF_NONSECRET)), |
| 636 | me.writeflags(me.flags)) |
| 637 | def _repr_pretty_(me, pp, cyclep): |
| 638 | ind = _pp_bgroup_tyname(pp, me) |
| 639 | if cyclep: |
| 640 | pp.text('...') |
| 641 | else: |
| 642 | _pp_secret(pp, me._guts(), not (me.flags & KF_NONSECRET)) |
| 643 | pp.text(','); pp.breakable() |
| 644 | pp.pretty(me.writeflags(me.flags)) |
| 645 | pp.end_group(ind, ')') |
| 646 | def __hash__(me): return me._HASHBASE ^ hash(me._guts()) |
| 647 | def __eq__(me, kd): |
| 648 | return type(me) == type(kd) and \ |
| 649 | me._guts() == kd._guts() and \ |
| 650 | me.flags == kd.flags |
| 651 | def __ne__(me, kd): |
| 652 | return not me == kd |
| 653 | _augment(KeyData, _tmp) |
| 654 | |
| 655 | class _tmp: |
| 656 | def _guts(me): return me.bin |
| 657 | def __eq__(me, kd): |
| 658 | return isinstance(kd, KeyDataBinary) and me.bin == kd.bin |
| 659 | _augment(KeyDataBinary, _tmp) |
| 660 | KeyDataBinary._HASHBASE = 0x961755c3 |
| 661 | |
| 662 | class _tmp: |
| 663 | def _guts(me): return me.ct |
| 664 | _augment(KeyDataEncrypted, _tmp) |
| 665 | KeyDataEncrypted._HASHBASE = 0xffe000d4 |
| 666 | |
| 667 | class _tmp: |
| 668 | def _guts(me): return me.mp |
| 669 | _augment(KeyDataMP, _tmp) |
| 670 | KeyDataMP._HASHBASE = 0x1cb64d69 |
| 671 | |
| 672 | class _tmp: |
| 673 | def _guts(me): return me.str |
| 674 | _augment(KeyDataString, _tmp) |
| 675 | KeyDataString._HASHBASE = 0x349c33ea |
| 676 | |
| 677 | class _tmp: |
| 678 | def _guts(me): return me.ecpt |
| 679 | _augment(KeyDataECPt, _tmp) |
| 680 | KeyDataECPt._HASHBASE = 0x2509718b |
| 681 | |
| 682 | class _tmp: |
| 683 | def __repr__(me): |
| 684 | return '%s({%s})' % (_clsname(me), |
| 685 | ', '.join(['%r: %r' % kv for kv in _iteritems(me)])) |
| 686 | def _repr_pretty_(me, pp, cyclep): |
| 687 | ind = _pp_bgroup_tyname(pp, me, '({ ') |
| 688 | if cyclep: pp.text('...') |
| 689 | else: _pp_dict(pp, _iteritems(me)) |
| 690 | pp.end_group(ind, ' })') |
| 691 | def __hash__(me): |
| 692 | h = me._HASHBASE |
| 693 | for k, v in _iteritems(me): |
| 694 | h = ((h << 1) ^ 3*hash(k) ^ 5*hash(v))&0xffffffff |
| 695 | return h |
| 696 | def __eq__(me, kd): |
| 697 | if type(me) != type(kd) or me.flags != kd.flags or len(me) != len(kd): |
| 698 | return False |
| 699 | for k, v in _iteritems(me): |
| 700 | try: vv = kd[k] |
| 701 | except KeyError: return False |
| 702 | if v != vv: return False |
| 703 | return True |
| 704 | _augment(KeyDataStructured, _tmp) |
| 705 | KeyDataStructured._HASHBASE = 0x85851b21 |
| 706 | |
| 707 | ###-------------------------------------------------------------------------- |
| 708 | ### Abstract groups. |
| 709 | |
| 710 | class _tmp: |
| 711 | def __repr__(me): |
| 712 | return '%s(p = %s, r = %s, g = %s)' % (_clsname(me), me.p, me.r, me.g) |
| 713 | def _repr_pretty_(me, pp, cyclep): |
| 714 | ind = _pp_bgroup_tyname(pp, me) |
| 715 | if cyclep: |
| 716 | pp.text('...') |
| 717 | else: |
| 718 | _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable() |
| 719 | _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable() |
| 720 | _pp_kv(pp, 'g', me.g) |
| 721 | pp.end_group(ind, ')') |
| 722 | _augment(FGInfo, _tmp) |
| 723 | |
| 724 | class _tmp: |
| 725 | def group(me): return PrimeGroup(me) |
| 726 | _augment(DHInfo, _tmp) |
| 727 | |
| 728 | class _tmp: |
| 729 | def group(me): return BinGroup(me) |
| 730 | _augment(BinDHInfo, _tmp) |
| 731 | |
| 732 | class _tmp: |
| 733 | def __repr__(me): |
| 734 | return '%s(%r)' % (_clsname(me), me.info) |
| 735 | def _repr_pretty_(me, pp, cyclep): |
| 736 | ind = _pp_bgroup_tyname(pp, me) |
| 737 | if cyclep: pp.text('...') |
| 738 | else: pp.pretty(me.info) |
| 739 | pp.end_group(ind, ')') |
| 740 | _augment(Group, _tmp) |
| 741 | |
| 742 | class _tmp: |
| 743 | def __hash__(me): |
| 744 | info = me.info |
| 745 | h = 0xbce3cfe6 |
| 746 | h ^= hash(info.p) |
| 747 | h ^= 2*hash(info.r) & 0xffffffff |
| 748 | h ^= 5*hash(info.g) & 0xffffffff |
| 749 | return h |
| 750 | def _get_geval(me, x): return MP(x) |
| 751 | _augment(PrimeGroup, _tmp) |
| 752 | |
| 753 | class _tmp: |
| 754 | def __hash__(me): |
| 755 | info = me.info |
| 756 | h = 0x80695949 |
| 757 | h ^= hash(info.p) |
| 758 | h ^= 2*hash(info.r) & 0xffffffff |
| 759 | h ^= 5*hash(info.g) & 0xffffffff |
| 760 | return h |
| 761 | def _get_geval(me, x): return GF(x) |
| 762 | _augment(BinGroup, _tmp) |
| 763 | |
| 764 | class _tmp: |
| 765 | def __hash__(me): return 0x0ec23dab ^ hash(me.info) |
| 766 | def _get_geval(me, x): return x.toec() |
| 767 | _augment(ECGroup, _tmp) |
| 768 | |
| 769 | class _tmp: |
| 770 | def __repr__(me): |
| 771 | return '%r(%r)' % (me.group, str(me)) |
| 772 | def _repr_pretty_(me, pp, cyclep): |
| 773 | pp.pretty(type(me)._get_geval(me)) |
| 774 | _augment(GE, _tmp) |
| 775 | |
| 776 | ###-------------------------------------------------------------------------- |
| 777 | ### RSA encoding techniques. |
| 778 | |
| 779 | class PKCS1Crypt (object): |
| 780 | def __init__(me, ep = _bin(''), rng = rand): |
| 781 | me.ep = ep |
| 782 | me.rng = rng |
| 783 | def encode(me, msg, nbits): |
| 784 | return _base._p1crypt_encode(msg, nbits, me.ep, me.rng) |
| 785 | def decode(me, ct, nbits): |
| 786 | return _base._p1crypt_decode(ct, nbits, me.ep, me.rng) |
| 787 | |
| 788 | class PKCS1Sig (object): |
| 789 | def __init__(me, ep = _bin(''), rng = rand): |
| 790 | me.ep = ep |
| 791 | me.rng = rng |
| 792 | def encode(me, msg, nbits): |
| 793 | return _base._p1sig_encode(msg, nbits, me.ep, me.rng) |
| 794 | def decode(me, msg, sig, nbits): |
| 795 | return _base._p1sig_decode(msg, sig, nbits, me.ep, me.rng) |
| 796 | |
| 797 | class OAEP (object): |
| 798 | def __init__(me, mgf = sha_mgf, hash = sha, ep = _bin(''), rng = rand): |
| 799 | me.mgf = mgf |
| 800 | me.hash = hash |
| 801 | me.ep = ep |
| 802 | me.rng = rng |
| 803 | def encode(me, msg, nbits): |
| 804 | return _base._oaep_encode(msg, nbits, me.mgf, me.hash, me.ep, me.rng) |
| 805 | def decode(me, ct, nbits): |
| 806 | return _base._oaep_decode(ct, nbits, me.mgf, me.hash, me.ep, me.rng) |
| 807 | |
| 808 | class PSS (object): |
| 809 | def __init__(me, mgf = sha_mgf, hash = sha, saltsz = None, rng = rand): |
| 810 | me.mgf = mgf |
| 811 | me.hash = hash |
| 812 | if saltsz is None: |
| 813 | saltsz = hash.hashsz |
| 814 | me.saltsz = saltsz |
| 815 | me.rng = rng |
| 816 | def encode(me, msg, nbits): |
| 817 | return _base._pss_encode(msg, nbits, me.mgf, me.hash, me.saltsz, me.rng) |
| 818 | def decode(me, msg, sig, nbits): |
| 819 | return _base._pss_decode(msg, sig, nbits, |
| 820 | me.mgf, me.hash, me.saltsz, me.rng) |
| 821 | |
| 822 | class _tmp: |
| 823 | def encrypt(me, msg, enc): |
| 824 | return me.pubop(enc.encode(msg, me.n.nbits)) |
| 825 | def verify(me, msg, sig, enc): |
| 826 | if msg is None: return enc.decode(msg, me.pubop(sig), me.n.nbits) |
| 827 | try: |
| 828 | x = enc.decode(msg, me.pubop(sig), me.n.nbits) |
| 829 | return x is None or x == msg |
| 830 | except ValueError: |
| 831 | return False |
| 832 | def __repr__(me): |
| 833 | return '%s(n = %r, e = %r)' % (_clsname(me), me.n, me.e) |
| 834 | def _repr_pretty_(me, pp, cyclep): |
| 835 | ind = _pp_bgroup_tyname(pp, me) |
| 836 | if cyclep: |
| 837 | pp.text('...') |
| 838 | else: |
| 839 | _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable() |
| 840 | _pp_kv(pp, 'e', me.e) |
| 841 | pp.end_group(ind, ')') |
| 842 | _augment(RSAPub, _tmp) |
| 843 | |
| 844 | class _tmp: |
| 845 | def decrypt(me, ct, enc): return enc.decode(me.privop(ct), me.n.nbits) |
| 846 | def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits)) |
| 847 | def __repr__(me): |
| 848 | return '%s(n = %r, e = %r, d = %s, ' \ |
| 849 | 'p = %s, q = %s, dp = %s, dq = %s, q_inv = %s)' % \ |
| 850 | (_clsname(me), me.n, me.e, |
| 851 | _repr_secret(me.d), _repr_secret(me.p), _repr_secret(me.q), |
| 852 | _repr_secret(me.dp), _repr_secret(me.dq), _repr_secret(me.q_inv)) |
| 853 | def _repr_pretty_(me, pp, cyclep): |
| 854 | ind = _pp_bgroup_tyname(pp, me) |
| 855 | if cyclep: |
| 856 | pp.text('...') |
| 857 | else: |
| 858 | _pp_kv(pp, 'n', me.n); pp.text(','); pp.breakable() |
| 859 | _pp_kv(pp, 'e', me.e); pp.text(','); pp.breakable() |
| 860 | _pp_kv(pp, 'd', me.d, secretp = True); pp.text(','); pp.breakable() |
| 861 | _pp_kv(pp, 'p', me.p, secretp = True); pp.text(','); pp.breakable() |
| 862 | _pp_kv(pp, 'q', me.q, secretp = True); pp.text(','); pp.breakable() |
| 863 | _pp_kv(pp, 'dp', me.dp, secretp = True); pp.text(','); pp.breakable() |
| 864 | _pp_kv(pp, 'dq', me.dq, secretp = True); pp.text(','); pp.breakable() |
| 865 | _pp_kv(pp, 'q_inv', me.q_inv, secretp = True) |
| 866 | pp.end_group(ind, ')') |
| 867 | _augment(RSAPriv, _tmp) |
| 868 | |
| 869 | ###-------------------------------------------------------------------------- |
| 870 | ### DSA and related schemes. |
| 871 | |
| 872 | class _tmp: |
| 873 | def __repr__(me): return '%s(G = %r, p = %r, hash = %r)' % \ |
| 874 | (_clsname(me), me.G, me.p, me.hash) |
| 875 | def _repr_pretty_(me, pp, cyclep): |
| 876 | ind = _pp_bgroup_tyname(pp, me) |
| 877 | if cyclep: |
| 878 | pp.text('...') |
| 879 | else: |
| 880 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 881 | _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable() |
| 882 | _pp_kv(pp, 'hash', me.hash) |
| 883 | pp.end_group(ind, ')') |
| 884 | _augment(DSAPub, _tmp) |
| 885 | _augment(KCDSAPub, _tmp) |
| 886 | |
| 887 | class _tmp: |
| 888 | def __repr__(me): return '%s(G = %r, u = %s, p = %r, hash = %r)' % \ |
| 889 | (_clsname(me), me.G, _repr_secret(me.u), me.p, me.hash) |
| 890 | def _repr_pretty_(me, pp, cyclep): |
| 891 | ind = _pp_bgroup_tyname(pp, me) |
| 892 | if cyclep: |
| 893 | pp.text('...') |
| 894 | else: |
| 895 | _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable() |
| 896 | _pp_kv(pp, 'u', me.u, True); pp.text(','); pp.breakable() |
| 897 | _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable() |
| 898 | _pp_kv(pp, 'hash', me.hash) |
| 899 | pp.end_group(ind, ')') |
| 900 | _augment(DSAPriv, _tmp) |
| 901 | _augment(KCDSAPriv, _tmp) |
| 902 | |
| 903 | ###-------------------------------------------------------------------------- |
| 904 | ### Bernstein's elliptic curve crypto and related schemes. |
| 905 | |
| 906 | X25519_BASE = MP(9).storel(32) |
| 907 | X448_BASE = MP(5).storel(56) |
| 908 | |
| 909 | Z128 = ByteString.zero(16) |
| 910 | |
| 911 | class _BasePub (object): |
| 912 | def __init__(me, pub, *args, **kw): |
| 913 | if not me._PUBSZ.check(len(pub)): raise ValueError('bad public key') |
| 914 | super(_BasePub, me).__init__(*args, **kw) |
| 915 | me.pub = pub |
| 916 | def __repr__(me): return '%s(pub = %r)' % (_clsname(me), me.pub) |
| 917 | def _pp(me, pp): _pp_kv(pp, 'pub', me.pub) |
| 918 | def _repr_pretty_(me, pp, cyclep): |
| 919 | ind = _pp_bgroup_tyname(pp, me) |
| 920 | if cyclep: pp.text('...') |
| 921 | else: me._pp(pp) |
| 922 | pp.end_group(ind, ')') |
| 923 | |
| 924 | class _BasePriv (object): |
| 925 | def __init__(me, priv, pub = None, *args, **kw): |
| 926 | if not me._KEYSZ.check(len(priv)): raise ValueError('bad private key') |
| 927 | if pub is None: pub = me._pubkey(priv) |
| 928 | super(_BasePriv, me).__init__(pub = pub, *args, **kw) |
| 929 | me.priv = priv |
| 930 | @classmethod |
| 931 | def generate(cls, rng = rand): |
| 932 | return cls(rng.block(cls._KEYSZ.default)) |
| 933 | def __repr__(me): |
| 934 | return '%s(priv = %d, pub = %r)' % \ |
| 935 | (_clsname(me), _repr_secret(me.priv), me.pub) |
| 936 | def _pp(me, pp): |
| 937 | _pp_kv(pp, 'priv', me.priv, secretp = True); pp.text(','); pp.breakable() |
| 938 | super(_BasePriv, me)._pp(pp) |
| 939 | |
| 940 | class _XDHPub (_BasePub): pass |
| 941 | |
| 942 | class _XDHPriv (_BasePriv): |
| 943 | def _pubkey(me, priv): return me._op(priv, me._BASE) |
| 944 | def agree(me, you): return me._op(me.priv, you.pub) |
| 945 | def boxkey(me, recip): return me._hashkey(me.agree(recip)) |
| 946 | def box(me, recip, n, m): return secret_box(me.boxkey(recip), n, m) |
| 947 | def unbox(me, recip, n, c): return secret_unbox(me.boxkey(recip), n, c) |
| 948 | |
| 949 | class X25519Pub (_XDHPub): |
| 950 | _PUBSZ = KeySZSet(X25519_PUBSZ) |
| 951 | _BASE = X25519_BASE |
| 952 | |
| 953 | class X25519Priv (_XDHPriv, X25519Pub): |
| 954 | _KEYSZ = KeySZSet(X25519_KEYSZ) |
| 955 | def _op(me, k, X): return x25519(k, X) |
| 956 | def _hashkey(me, z): return hsalsa20_prf(z, Z128) |
| 957 | |
| 958 | class X448Pub (_XDHPub): |
| 959 | _PUBSZ = KeySZSet(X448_PUBSZ) |
| 960 | _BASE = X448_BASE |
| 961 | |
| 962 | class X448Priv (_XDHPriv, X448Pub): |
| 963 | _KEYSZ = KeySZSet(X448_KEYSZ) |
| 964 | def _op(me, k, X): return x448(k, X) |
| 965 | def _hashkey(me, z): return Shake256().hash(z).done(salsa20.keysz.default) |
| 966 | |
| 967 | class _EdDSAPub (_BasePub): |
| 968 | def beginhash(me): return me._HASH() |
| 969 | def endhash(me, h): return h.done() |
| 970 | |
| 971 | class _EdDSAPriv (_BasePriv, _EdDSAPub): |
| 972 | pass |
| 973 | |
| 974 | class Ed25519Pub (_EdDSAPub): |
| 975 | _PUBSZ = KeySZSet(ED25519_PUBSZ) |
| 976 | _HASH = sha512 |
| 977 | def verify(me, msg, sig, **kw): |
| 978 | return ed25519_verify(me.pub, msg, sig, **kw) |
| 979 | |
| 980 | class Ed25519Priv (_EdDSAPriv, Ed25519Pub): |
| 981 | _KEYSZ = KeySZAny(ED25519_KEYSZ) |
| 982 | def _pubkey(me, priv): return ed25519_pubkey(priv) |
| 983 | def sign(me, msg, **kw): |
| 984 | return ed25519_sign(me.priv, msg, pub = me.pub, **kw) |
| 985 | |
| 986 | class Ed448Pub (_EdDSAPub): |
| 987 | _PUBSZ = KeySZSet(ED448_PUBSZ) |
| 988 | _HASH = shake256 |
| 989 | def verify(me, msg, sig, **kw): |
| 990 | return ed448_verify(me.pub, msg, sig, **kw) |
| 991 | |
| 992 | class Ed448Priv (_EdDSAPriv, Ed448Pub): |
| 993 | _KEYSZ = KeySZAny(ED448_KEYSZ) |
| 994 | def _pubkey(me, priv): return ed448_pubkey(priv) |
| 995 | def sign(me, msg, **kw): |
| 996 | return ed448_sign(me.priv, msg, pub = me.pub, **kw) |
| 997 | |
| 998 | ###-------------------------------------------------------------------------- |
| 999 | ### Built-in algorithm and group tables. |
| 1000 | |
| 1001 | class _tmp: |
| 1002 | def __repr__(me): |
| 1003 | return '{%s}' % ', '.join(['%r: %r' % kv for kv in _iteritems(me)]) |
| 1004 | def _repr_pretty_(me, pp, cyclep): |
| 1005 | ind = _pp_bgroup(pp, '{ ') |
| 1006 | if cyclep: pp.text('...') |
| 1007 | else: _pp_dict(pp, _iteritems(me)) |
| 1008 | pp.end_group(ind, ' }') |
| 1009 | _augment(_base._MiscTable, _tmp) |
| 1010 | |
| 1011 | ###-------------------------------------------------------------------------- |
| 1012 | ### Prime number generation. |
| 1013 | |
| 1014 | class PrimeGenEventHandler (object): |
| 1015 | def pg_begin(me, ev): |
| 1016 | return me.pg_try(ev) |
| 1017 | def pg_done(me, ev): |
| 1018 | return PGEN_DONE |
| 1019 | def pg_abort(me, ev): |
| 1020 | return PGEN_TRY |
| 1021 | def pg_fail(me, ev): |
| 1022 | return PGEN_TRY |
| 1023 | def pg_pass(me, ev): |
| 1024 | return PGEN_TRY |
| 1025 | |
| 1026 | class SophieGermainStepJump (object): |
| 1027 | def pg_begin(me, ev): |
| 1028 | me.lf = PrimeFilter(ev.x) |
| 1029 | me.hf = me.lf.muladd(2, 1) |
| 1030 | return me.cont(ev) |
| 1031 | def pg_try(me, ev): |
| 1032 | me.step() |
| 1033 | return me.cont(ev) |
| 1034 | def cont(me, ev): |
| 1035 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: |
| 1036 | me.step() |
| 1037 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: |
| 1038 | return PGEN_ABORT |
| 1039 | ev.x = me.lf.x |
| 1040 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: |
| 1041 | return PGEN_DONE |
| 1042 | return PGEN_TRY |
| 1043 | def pg_done(me, ev): |
| 1044 | del me.lf |
| 1045 | del me.hf |
| 1046 | |
| 1047 | class SophieGermainStepper (SophieGermainStepJump): |
| 1048 | def __init__(me, step): |
| 1049 | me.lstep = step; |
| 1050 | me.hstep = 2 * step |
| 1051 | def step(me): |
| 1052 | me.lf.step(me.lstep) |
| 1053 | me.hf.step(me.hstep) |
| 1054 | |
| 1055 | class SophieGermainJumper (SophieGermainStepJump): |
| 1056 | def __init__(me, jump): |
| 1057 | me.ljump = PrimeFilter(jump); |
| 1058 | me.hjump = me.ljump.muladd(2, 0) |
| 1059 | def step(me): |
| 1060 | me.lf.jump(me.ljump) |
| 1061 | me.hf.jump(me.hjump) |
| 1062 | def pg_done(me, ev): |
| 1063 | del me.ljump |
| 1064 | del me.hjump |
| 1065 | SophieGermainStepJump.pg_done(me, ev) |
| 1066 | |
| 1067 | class SophieGermainTester (object): |
| 1068 | def __init__(me): |
| 1069 | pass |
| 1070 | def pg_begin(me, ev): |
| 1071 | me.lr = RabinMiller(ev.x) |
| 1072 | me.hr = RabinMiller(2 * ev.x + 1) |
| 1073 | def pg_try(me, ev): |
| 1074 | lst = me.lr.test(ev.rng.range(me.lr.x)) |
| 1075 | if lst != PGEN_PASS and lst != PGEN_DONE: |
| 1076 | return lst |
| 1077 | rst = me.hr.test(ev.rng.range(me.hr.x)) |
| 1078 | if rst != PGEN_PASS and rst != PGEN_DONE: |
| 1079 | return rst |
| 1080 | if lst == PGEN_DONE and rst == PGEN_DONE: |
| 1081 | return PGEN_DONE |
| 1082 | return PGEN_PASS |
| 1083 | def pg_done(me, ev): |
| 1084 | del me.lr |
| 1085 | del me.hr |
| 1086 | |
| 1087 | class PrimitiveStepper (PrimeGenEventHandler): |
| 1088 | def __init__(me): |
| 1089 | pass |
| 1090 | def pg_try(me, ev): |
| 1091 | ev.x = me.i.next() |
| 1092 | return PGEN_TRY |
| 1093 | def pg_begin(me, ev): |
| 1094 | me.i = iter(smallprimes) |
| 1095 | return me.pg_try(ev) |
| 1096 | |
| 1097 | class PrimitiveTester (PrimeGenEventHandler): |
| 1098 | def __init__(me, mod, hh = [], exp = None): |
| 1099 | me.mod = MPMont(mod) |
| 1100 | me.exp = exp |
| 1101 | me.hh = hh |
| 1102 | def pg_try(me, ev): |
| 1103 | x = ev.x |
| 1104 | if me.exp is not None: |
| 1105 | x = me.mod.exp(x, me.exp) |
| 1106 | if x == 1: return PGEN_FAIL |
| 1107 | for h in me.hh: |
| 1108 | if me.mod.exp(x, h) == 1: return PGEN_FAIL |
| 1109 | ev.x = x |
| 1110 | return PGEN_DONE |
| 1111 | |
| 1112 | class SimulStepper (PrimeGenEventHandler): |
| 1113 | def __init__(me, mul = 2, add = 1, step = 2): |
| 1114 | me.step = step |
| 1115 | me.mul = mul |
| 1116 | me.add = add |
| 1117 | def _stepfn(me, step): |
| 1118 | if step <= 0: |
| 1119 | raise ValueError('step must be positive') |
| 1120 | if step <= MPW_MAX: |
| 1121 | return lambda f: f.step(step) |
| 1122 | j = PrimeFilter(step) |
| 1123 | return lambda f: f.jump(j) |
| 1124 | def pg_begin(me, ev): |
| 1125 | x = ev.x |
| 1126 | me.lf = PrimeFilter(x) |
| 1127 | me.hf = PrimeFilter(x * me.mul + me.add) |
| 1128 | me.lstep = me._stepfn(me.step) |
| 1129 | me.hstep = me._stepfn(me.step * me.mul) |
| 1130 | SimulStepper._cont(me, ev) |
| 1131 | def pg_try(me, ev): |
| 1132 | me._step() |
| 1133 | me._cont(ev) |
| 1134 | def _step(me): |
| 1135 | me.lstep(me.lf) |
| 1136 | me.hstep(me.hf) |
| 1137 | def _cont(me, ev): |
| 1138 | while me.lf.status == PGEN_FAIL or me.hf.status == PGEN_FAIL: |
| 1139 | me._step() |
| 1140 | if me.lf.status == PGEN_ABORT or me.hf.status == PGEN_ABORT: |
| 1141 | return PGEN_ABORT |
| 1142 | ev.x = me.lf.x |
| 1143 | if me.lf.status == PGEN_DONE and me.hf.status == PGEN_DONE: |
| 1144 | return PGEN_DONE |
| 1145 | return PGEN_TRY |
| 1146 | def pg_done(me, ev): |
| 1147 | del me.lf |
| 1148 | del me.hf |
| 1149 | del me.lstep |
| 1150 | del me.hstep |
| 1151 | |
| 1152 | class SimulTester (PrimeGenEventHandler): |
| 1153 | def __init__(me, mul = 2, add = 1): |
| 1154 | me.mul = mul |
| 1155 | me.add = add |
| 1156 | def pg_begin(me, ev): |
| 1157 | x = ev.x |
| 1158 | me.lr = RabinMiller(x) |
| 1159 | me.hr = RabinMiller(x * me.mul + me.add) |
| 1160 | def pg_try(me, ev): |
| 1161 | lst = me.lr.test(ev.rng.range(me.lr.x)) |
| 1162 | if lst != PGEN_PASS and lst != PGEN_DONE: |
| 1163 | return lst |
| 1164 | rst = me.hr.test(ev.rng.range(me.hr.x)) |
| 1165 | if rst != PGEN_PASS and rst != PGEN_DONE: |
| 1166 | return rst |
| 1167 | if lst == PGEN_DONE and rst == PGEN_DONE: |
| 1168 | return PGEN_DONE |
| 1169 | return PGEN_PASS |
| 1170 | def pg_done(me, ev): |
| 1171 | del me.lr |
| 1172 | del me.hr |
| 1173 | |
| 1174 | def sgprime(start, step = 2, name = 'p', event = pgen_nullev, nsteps = 0): |
| 1175 | start = MP(start) |
| 1176 | return pgen(start, name, SimulStepper(step = step), SimulTester(), event, |
| 1177 | nsteps, RabinMiller.iters(start.nbits)) |
| 1178 | |
| 1179 | def findprimitive(mod, hh = [], exp = None, name = 'g', event = pgen_nullev): |
| 1180 | return pgen(0, name, PrimitiveStepper(), PrimitiveTester(mod, hh, exp), |
| 1181 | event, 0, 1) |
| 1182 | |
| 1183 | def kcdsaprime(pbits, qbits, rng = rand, |
| 1184 | event = pgen_nullev, name = 'p', nsteps = 0): |
| 1185 | hbits = pbits - qbits |
| 1186 | h = pgen(rng.mp(hbits, 1), name + ' [h]', |
| 1187 | PrimeGenStepper(2), PrimeGenTester(), |
| 1188 | event, nsteps, RabinMiller.iters(hbits)) |
| 1189 | q = pgen(rng.mp(qbits, 1), name, SimulStepper(2 * h, 1, 2), |
| 1190 | SimulTester(2 * h, 1), event, nsteps, RabinMiller.iters(qbits)) |
| 1191 | p = 2 * q * h + 1 |
| 1192 | return p, q, h |
| 1193 | |
| 1194 | #----- That's all, folks ---------------------------------------------------- |