setattr(c, j[plen:], classmethod(b[j]))
for i in [gcciphers, gchashes, gcmacs, gcprps]:
for c in i.itervalues():
- d[c.name.replace('-', '_')] = c
+ d[c.name.replace('-', '_').translate(None, '/')] = c
for c in gccrands.itervalues():
- d[c.name.replace('-', '_') + 'rand'] = c
+ d[c.name.replace('-', '_').translate(None, '/') + 'rand'] = c
_init()
## A handy function for our work: add the methods of a named class to an
raise SyntaxError, 'junk at end of string'
return x
+## Some pretty-printing utilities.
+def _pp_str(me, pp, cyclep): pp.text(cyclep and '...' or str(me))
+def _pp_bgroup(pp, text):
+ ind = len(text)
+ pp.begin_group(ind, text)
+ return ind
+def _pp_bgroup_tyname(pp, obj, open = '('):
+ return _pp_bgroup(pp, type(obj).__name__ + open)
+def _pp_kv(pp, k, v):
+ ind = _pp_bgroup(pp, k + ' = ')
+ pp.pretty(v)
+ pp.end_group(ind, '')
+def _pp_commas(pp, printfn, items):
+ firstp = True
+ for i in items:
+ if firstp: firstp = False
+ else: pp.text(','); pp.breakable()
+ printfn(i)
+def _pp_dict(pp, items):
+ def p((k, v)):
+ pp.begin_group(0)
+ pp.pretty(k)
+ pp.text(':')
+ pp.begin_group(2)
+ pp.breakable()
+ pp.pretty(v)
+ pp.end_group(2)
+ pp.end_group(0)
+ _pp_commas(pp, p, items)
+
###--------------------------------------------------------------------------
### Bytestrings.
def __repr__(me):
return 'bytes(%r)' % hex(me)
_augment(ByteString, _tmp)
+ByteString.__hash__ = str.__hash__
bytes = ByteString.fromhex
+###--------------------------------------------------------------------------
+### Hashing.
+
+class _tmp:
+ def check(me, h):
+ hh = me.done()
+ return ctstreq(h, hh)
+_augment(GHash, _tmp)
+_augment(Poly1305Hash, _tmp)
+
+###--------------------------------------------------------------------------
+### NaCl `secretbox'.
+
+def secret_box(k, n, m):
+ E = xsalsa20(k).setiv(n)
+ r = E.enczero(poly1305.keysz.default)
+ s = E.enczero(poly1305.masksz)
+ y = E.encrypt(m)
+ t = poly1305(r)(s).hash(y).done()
+ return ByteString(t + y)
+
+def secret_unbox(k, n, c):
+ E = xsalsa20(k).setiv(n)
+ r = E.enczero(poly1305.keysz.default)
+ s = E.enczero(poly1305.masksz)
+ y = c[poly1305.tagsz:]
+ if not poly1305(r)(s).hash(y).check(c[0:poly1305.tagsz]):
+ raise ValueError, 'decryption failed'
+ return E.decrypt(c[poly1305.tagsz:])
+
###--------------------------------------------------------------------------
### Multiprecision integers and binary polynomials.
+def _split_rat(x):
+ if isinstance(x, BaseRat): return x._n, x._d
+ else: return x, 1
+class BaseRat (object):
+ """Base class implementing fields of fractions over Euclidean domains."""
+ def __new__(cls, a, b):
+ a, b = cls.RING(a), cls.RING(b)
+ q, r = divmod(a, b)
+ if r == 0: return q
+ g = b.gcd(r)
+ me = super(BaseRat, cls).__new__(cls)
+ me._n = a//g
+ me._d = b//g
+ return me
+ @property
+ def numer(me): return me._n
+ @property
+ def denom(me): return me._d
+ def __str__(me): return '%s/%s' % (me._n, me._d)
+ def __repr__(me): return '%s(%s, %s)' % (type(me).__name__, me._n, me._d)
+ _repr_pretty_ = _pp_str
+
+ def __add__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._n*d + n*me._d, d*me._d)
+ __radd__ = __add__
+ def __sub__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._n*d - n*me._d, d*me._d)
+ def __rsub__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(n*me._d - me._n*d, d*me._d)
+ def __mul__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._n*n, me._d*d)
+ def __div__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._n*d, me._d*n)
+ def __rdiv__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._d*n, me._n*d)
+ def __cmp__(me, you):
+ n, d = _split_rat(you)
+ return type(me)(me._n*d, n*me._d)
+ def __rcmp__(me, you):
+ n, d = _split_rat(you)
+ return cmp(n*me._d, me._n*d)
+
+class IntRat (BaseRat):
+ RING = MP
+
+class GFRat (BaseRat):
+ RING = GF
+
class _tmp:
def negp(x): return x < 0
def posp(x): return x > 0
def mont(x): return MPMont(x)
def barrett(x): return MPBarrett(x)
def reduce(x): return MPReduce(x)
+ def __div__(me, you): return IntRat(me, you)
+ def __rdiv__(me, you): return IntRat(you, me)
+ _repr_pretty_ = _pp_str
_augment(MP, _tmp)
class _tmp:
def halftrace(x, y): return x.reduce().halftrace(y)
def modsqrt(x, y): return x.reduce().sqrt(y)
def quadsolve(x, y): return x.reduce().quadsolve(y)
+ def __div__(me, you): return GFRat(me, you)
+ def __rdiv__(me, you): return GFRat(you, me)
+ _repr_pretty_ = _pp_str
_augment(GF, _tmp)
class _tmp:
class _tmp:
def __repr__(me): return '%s(%sL)' % (type(me).__name__, me.p)
+ def __hash__(me): return 0x114401de ^ hash(me.p)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep: pp.text('...')
+ else: pp.pretty(me.p)
+ pp.end_group(ind, ')')
def ec(me, a, b): return ECPrimeProjCurve(me, a, b)
_augment(PrimeField, _tmp)
class _tmp:
- def __repr__(me): return '%s(%sL)' % (type(me).__name__, hex(me.p))
+ def __repr__(me): return '%s(%#xL)' % (type(me).__name__, me.p)
def ec(me, a, b): return ECBinProjCurve(me, a, b)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep: pp.text('...')
+ else: pp.text('%#x' % me.p)
+ pp.end_group(ind, ')')
_augment(BinField, _tmp)
+class _tmp:
+ def __hash__(me): return 0x23e4701c ^ hash(me.p)
+_augment(BinPolyField, _tmp)
+
+class _tmp:
+ def __hash__(me):
+ h = 0x9a7d6240
+ h ^= hash(me.p)
+ h ^= 2*hash(me.beta) & 0xffffffff
+ return h
+_augment(BinNormField, _tmp)
+
class _tmp:
def __str__(me): return str(me.value)
def __repr__(me): return '%s(%s)' % (repr(me.field), repr(me.value))
+ _repr_pretty_ = _pp_str
_augment(FE, _tmp)
###--------------------------------------------------------------------------
class _tmp:
def __repr__(me):
return '%s(%r, %s, %s)' % (type(me).__name__, me.field, me.a, me.b)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.field); pp.text(','); pp.breakable()
+ pp.pretty(me.a); pp.text(','); pp.breakable()
+ pp.pretty(me.b)
+ pp.end_group(ind, ')')
def frombuf(me, s):
return ecpt.frombuf(me, s)
def fromraw(me, s):
return me(*args)
_augment(ECCurve, _tmp)
+class _tmp:
+ def __hash__(me):
+ h = 0x6751d341
+ h ^= hash(me.field)
+ h ^= 2*hash(me.a) ^ 0xffffffff
+ h ^= 5*hash(me.b) ^ 0xffffffff
+ return h
+_augment(ECPrimeCurve, _tmp)
+
+class _tmp:
+ def __hash__(me):
+ h = 0x2ac203c5
+ h ^= hash(me.field)
+ h ^= 2*hash(me.a) ^ 0xffffffff
+ h ^= 5*hash(me.b) ^ 0xffffffff
+ return h
+_augment(ECBinCurve, _tmp)
+
class _tmp:
def __repr__(me):
if not me: return 'ECPt()'
def __str__(me):
if not me: return 'inf'
return '(%s, %s)' % (me.ix, me.iy)
+ def _repr_pretty_(me, pp, cyclep):
+ if cyclep:
+ pp.text('...')
+ elif not me:
+ pp.text('inf')
+ else:
+ ind = _pp_bgroup(pp, '(')
+ pp.pretty(me.ix); pp.text(','); pp.breakable()
+ pp.pretty(me.iy)
+ pp.end_group(ind, ')')
_augment(ECPt, _tmp)
class _tmp:
def __repr__(me):
return 'ECInfo(curve = %r, G = %r, r = %s, h = %s)' % \
(me.curve, me.G, me.r, me.h)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ _pp_kv(pp, 'curve', me.curve); pp.text(','); pp.breakable()
+ _pp_kv(pp, 'G', me.G); pp.text(','); pp.breakable()
+ _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable()
+ _pp_kv(pp, 'h', me.h)
+ pp.end_group(ind, ')')
+ def __hash__(me):
+ h = 0x9bedb8de
+ h ^= hash(me.curve)
+ h ^= 2*hash(me.G) & 0xffffffff
+ return h
def group(me):
return ECGroup(me)
_augment(ECInfo, _tmp)
def __str__(me):
if not me: return 'inf'
return '(%s, %s)' % (me.x, me.y)
+ def _repr_pretty_(me, pp, cyclep):
+ if cyclep:
+ pp.text('...')
+ elif not me:
+ pp.text('inf')
+ else:
+ ind = _pp_bgroup(pp, '(')
+ pp.pretty(me.x); pp.text(','); pp.breakable()
+ pp.pretty(me.y)
+ pp.end_group(ind, ')')
_augment(ECPtCurve, _tmp)
###--------------------------------------------------------------------------
def __repr__(me):
return 'KeySZRange(%d, %d, %d, %d)' % \
(me.default, me.min, me.max, me.mod)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.default); pp.text(','); pp.breakable()
+ pp.pretty(me.min); pp.text(','); pp.breakable()
+ pp.pretty(me.max); pp.text(','); pp.breakable()
+ pp.pretty(me.mod)
+ pp.end_group(ind, ')')
def check(me, sz): return me.min <= sz <= me.max and sz % me.mod == 0
def best(me, sz):
if sz < me.min: raise ValueError, 'key too small'
class _tmp:
def __repr__(me): return 'KeySZSet(%d, %s)' % (me.default, me.set)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.default); pp.text(','); pp.breakable()
+ ind1 = _pp_bgroup(pp, '{')
+ _pp_commas(pp, pp.pretty, me.set)
+ pp.end_group(ind1, '}')
+ pp.end_group(ind, ')')
def check(me, sz): return sz in me.set
def best(me, sz):
found = -1
return found
_augment(KeySZSet, _tmp)
+###--------------------------------------------------------------------------
+### Key data objects.
+
+class _tmp:
+ def __repr__(me): return 'KeyFile(%r)' % me.name
+_augment(KeyFile, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'Key(%r)' % me.fulltag
+_augment(Key, _tmp)
+
+class _tmp:
+ def __repr__(me):
+ return 'KeyAttributes({%s})' % \
+ ', '.join(['%r: %r' % kv for kv in me.iteritems()])
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep: pp.text('...')
+ else: _pp_dict(pp, me.iteritems())
+ pp.end_group(ind, ')')
+_augment(KeyAttributes, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'KeyDataBinary(%r, %r)' % \
+ (me.bin, me.writeflags(me.flags))
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.bin); pp.text(','); pp.breakable()
+ pp.pretty(me.writeflags(me.flags))
+ pp.end_group(ind, ')')
+_augment(KeyDataBinary, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'KeyDataEncrypted(%r, %r)' % \
+ (me.ct, me.writeflags(me.flags))
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.ct); pp.text(','); pp.breakable()
+ pp.pretty(me.writeflags(me.flags))
+ pp.end_group(ind, ')')
+_augment(KeyDataEncrypted, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'KeyDataMP(%r, %r)' % \
+ (me.mp, me.writeflags(me.flags))
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.mp); pp.text(','); pp.breakable()
+ pp.pretty(me.writeflags(me.flags))
+ pp.end_group(ind, ')')
+_augment(KeyDataMP, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'KeyDataString(%r)' % \
+ (me.str, me.writeflags(me.flags))
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.str); pp.text(','); pp.breakable()
+ pp.pretty(me.writeflags(me.flags))
+ pp.end_group(ind, ')')
+_augment(KeyDataString, _tmp)
+
+class _tmp:
+ def __repr__(me): return 'KeyDataECPt(%r)' % \
+ (me.ecpt, me.writeflags(me.flags))
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ pp.pretty(me.ecpt); pp.text(','); pp.breakable()
+ pp.pretty(me.writeflags(me.flags))
+ pp.end_group(ind, ')')
+_augment(KeyDataECPt, _tmp)
+
+class _tmp:
+ def __repr__(me):
+ return 'KeyDataStructured({%s})' % \
+ ', '.join(['%r: %r' % kv for kv in me.iteritems()])
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me, '({ ')
+ if cyclep: pp.text('...')
+ else: _pp_dict(pp, me.iteritems())
+ pp.end_group(ind, ' })')
+_augment(KeyDataStructured, _tmp)
+
###--------------------------------------------------------------------------
### Abstract groups.
def __repr__(me):
return '%s(p = %s, r = %s, g = %s)' % \
(type(me).__name__, me.p, me.r, me.g)
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup_tyname(pp, me)
+ if cyclep:
+ pp.text('...')
+ else:
+ _pp_kv(pp, 'p', me.p); pp.text(','); pp.breakable()
+ _pp_kv(pp, 'r', me.r); pp.text(','); pp.breakable()
+ _pp_kv(pp, 'g', me.g)
+ pp.end_group(ind, ')')
_augment(FGInfo, _tmp)
class _tmp:
return '%s(%r)' % (type(me).__name__, me.info)
_augment(Group, _tmp)
+class _tmp:
+ def __hash__(me):
+ info = me.info
+ h = 0xbce3cfe6
+ h ^= hash(info.p)
+ h ^= 2*hash(info.r) & 0xffffffff
+ h ^= 5*hash(info.g) & 0xffffffff
+ return h
+_augment(PrimeGroup, _tmp)
+
+class _tmp:
+ def __hash__(me):
+ info = me.info
+ h = 0x80695949
+ h ^= hash(info.p)
+ h ^= 2*hash(info.r) & 0xffffffff
+ h ^= 5*hash(info.g) & 0xffffffff
+ return h
+_augment(BinGroup, _tmp)
+
+class _tmp:
+ def __hash__(me): return 0x0ec23dab ^ hash(me.info)
+_augment(ECGroup, _tmp)
+
class _tmp:
def __repr__(me):
return '%r(%r)' % (me.group, str(me))
+ _repr_pretty_ = _pp_str
_augment(GE, _tmp)
###--------------------------------------------------------------------------
def sign(me, msg, enc): return me.privop(enc.encode(msg, me.n.nbits))
_augment(RSAPriv, _tmp)
+###--------------------------------------------------------------------------
+### Bernstein's elliptic curve crypto and related schemes.
+
+X25519_BASE = \
+ bytes('0900000000000000000000000000000000000000000000000000000000000000')
+
+X448_BASE = \
+ bytes('05000000000000000000000000000000000000000000000000000000'
+ '00000000000000000000000000000000000000000000000000000000')
+
+Z128 = bytes('00000000000000000000000000000000')
+
+class _BoxyPub (object):
+ def __init__(me, pub, *kw, **kwargs):
+ if len(pub) != me._PUBSZ: raise ValueError, 'bad public key'
+ super(_BoxyPub, me).__init__(*kw, **kwargs)
+ me.pub = pub
+
+class _BoxyPriv (_BoxyPub):
+ def __init__(me, priv, pub = None, *kw, **kwargs):
+ if len(priv) != me._KEYSZ: raise ValueError, 'bad private key'
+ if pub is None: pub = me._op(priv, me._BASE)
+ super(_BoxyPriv, me).__init__(pub = pub, *kw, **kwargs)
+ me.priv = priv
+ def agree(me, you): return me._op(me.priv, you.pub)
+ def boxkey(me, recip):
+ return me._hashkey(me.agree(recip))
+ def box(me, recip, n, m):
+ return secret_box(me.boxkey(recip), n, m)
+ def unbox(me, recip, n, c):
+ return secret_unbox(me.boxkey(recip, n, c))
+
+class X25519Pub (_BoxyPub):
+ _PUBSZ = X25519_PUBSZ
+ _BASE = X25519_BASE
+
+class X25519Priv (_BoxyPriv, X25519Pub):
+ _KEYSZ = X25519_KEYSZ
+ def _op(me, k, X): return x25519(k, X)
+ def _hashkey(me, z): return hsalsa20_prf(z, Z128)
+
+class X448Pub (_BoxyPub):
+ _PUBSZ = X448_PUBSZ
+ _BASE = X448_BASE
+
+class X448Priv (_BoxyPriv, X448Pub):
+ _KEYSZ = X448_KEYSZ
+ def _op(me, k, X): return x448(k, X)
+ ##def _hashkey(me, z): return ???
+
+class Ed25519Pub (object):
+ def __init__(me, pub):
+ me.pub = pub
+ def verify(me, msg, sig):
+ return ed25519_verify(me.pub, msg, sig)
+
+class Ed25519Priv (Ed25519Pub):
+ def __init__(me, priv):
+ me.priv = priv
+ Ed25519Pub.__init__(me, ed25519_pubkey(priv))
+ def sign(me, msg):
+ return ed25519_sign(me.priv, msg, pub = me.pub)
+ @classmethod
+ def generate(cls, rng = rand):
+ return cls(rng.block(ED25519_KEYSZ))
+
###--------------------------------------------------------------------------
### Built-in named curves and prime groups.
def __init__(me, map, nth):
me.map = map
me.nth = nth
- me.i = [None] * (max(map.values()) + 1)
+ me._n = max(map.values()) + 1
+ me.i = me._n*[None]
def __repr__(me):
- return '{%s}' % ', '.join(['%r: %r' % (k, me[k]) for k in me])
+ return '{%s}' % ', '.join(['%r: %r' % kv for kv in me.iteritems()])
+ def _repr_pretty_(me, pp, cyclep):
+ ind = _pp_bgroup(pp, '{ ')
+ if cyclep: pp.text('...')
+ else: _pp_dict(pp, me.iteritems())
+ pp.end_group(ind, ' }')
+ def __len__(me):
+ return me._n
def __contains__(me, k):
return k in me.map
def __getitem__(me, k):