Index: third_party/tlslite/tlslite/utils/p256.py |
diff --git a/third_party/tlslite/tlslite/utils/p256.py b/third_party/tlslite/tlslite/utils/p256.py |
deleted file mode 100644 |
index 6eb9a7799accc409fbeb88d9873c199ce8864d94..0000000000000000000000000000000000000000 |
--- a/third_party/tlslite/tlslite/utils/p256.py |
+++ /dev/null |
@@ -1,162 +0,0 @@ |
-# Author: Google |
-# See the LICENSE file for legal information regarding use of this file. |
- |
-import os |
- |
-p = ( |
- 115792089210356248762697446949407573530086143415290314195533631308867097853951) |
-order = ( |
- 115792089210356248762697446949407573529996955224135760342422259061068512044369) |
-p256B = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b |
- |
-baseX = 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 |
-baseY = 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 |
-basePoint = (baseX, baseY) |
- |
- |
-def _pointAdd(a, b): |
- Z1Z1 = (a[2] * a[2]) % p |
- Z2Z2 = (b[2] * b[2]) % p |
- U1 = (a[0] * Z2Z2) % p |
- U2 = (b[0] * Z1Z1) % p |
- S1 = (a[1] * b[2] * Z2Z2) % p |
- S2 = (b[1] * a[2] * Z1Z1) % p |
- if U1 == U2 and S1 == S2: |
- return pointDouble(a) |
- H = (U2 - U1) % p |
- I = (4 * H * H) % p |
- J = (H * I) % p |
- r = (2 * (S2 - S1)) % p |
- V = (U1 * I) % p |
- X3 = (r * r - J - 2 * V) % p |
- Y3 = (r * (V - X3) - 2 * S1 * J) % p |
- Z3 = (((a[2] + b[2]) * (a[2] + b[2]) - Z1Z1 - Z2Z2) * H) % p |
- |
- return (X3, Y3, Z3) |
- |
- |
-def _pointDouble(a): |
- delta = (a[2] * a[2]) % p |
- gamma = (a[1] * a[1]) % p |
- beta = (a[0] * gamma) % p |
- alpha = (3 * (a[0] - delta) * (a[0] + delta)) % p |
- X3 = (alpha * alpha - 8 * beta) % p |
- Z3 = ((a[1] + a[2]) * (a[1] + a[2]) - gamma - delta) % p |
- Y3 = (alpha * (4 * beta - X3) - 8 * gamma * gamma) % p |
- |
- return (X3, Y3, Z3) |
- |
- |
-def _square(n): |
- return (n * n) |
- |
- |
-def _modpow(a, n, p): |
- if n == 0: |
- return 1 |
- if n == 1: |
- return a |
- r = _square(_modpow(a, n >> 1, p)) % p |
- if n & 1 == 1: |
- r = (r * a) % p |
- return r |
- |
- |
-def _scalarMult(k, point): |
- accum = (0, 0, 0) |
- accumIsInfinity = True |
- jacobianPoint = (point[0], point[1], 1) |
- |
- for bit in range(255, -1, -1): |
- if not accumIsInfinity: |
- accum = _pointDouble(accum) |
- |
- if (k >> bit) & 1 == 1: |
- if accumIsInfinity: |
- accum = jacobianPoint |
- accumIsInfinity = False |
- else: |
- accum = _pointAdd(accum, jacobianPoint) |
- |
- if accumIsInfinity: |
- return (0, 0) |
- |
- zInv = _modpow(accum[2], p - 2, p) |
- return ((accum[0] * zInv * zInv) % p, (accum[1] * zInv * zInv * zInv) % p) |
- |
- |
-def _scalarBaseMult(k): |
- return _scalarMult(k, basePoint) |
- |
- |
-def _decodeBigEndian(b): |
- return sum([ord(b[len(b) - i - 1]) << 8 * i for i in range(len(b))]) |
- |
- |
-def _encodeBigEndian(n): |
- b = [] |
- while n != 0: |
- b.append(chr(n & 0xff)) |
- n >>= 8 |
- |
- if len(b) == 0: |
- b.append(0) |
- b.reverse() |
- |
- return "".join(b) |
- |
- |
-def _zeroPad(b, length): |
- if len(b) < length: |
- return ("\x00" * (length - len(b))) + b |
- return b |
- |
- |
-def _encodePoint(point): |
- x = point[0] |
- y = point[1] |
- if (y * y) % p != (x * x * x - 3 * x + p256B) % p: |
- raise "point not on curve" |
- return "\x04" + _zeroPad(_encodeBigEndian(point[0]), 32) + _zeroPad( |
- _encodeBigEndian(point[1]), 32) |
- |
- |
-def _decodePoint(b): |
- if len(b) != 1 + 32 + 32 or ord(b[0]) != 4: |
- raise "invalid encoded ec point" |
- x = _decodeBigEndian(b[1:33]) |
- y = _decodeBigEndian(b[33:65]) |
- if (y * y) % p != (x * x * x - 3 * x + p256B) % p: |
- raise "point not on curve" |
- return (x, y) |
- |
- |
-def generatePublicPrivate(): |
- """generatePublicPrivate returns a tuple of (X9.62 encoded public point, |
- private value), where the private value is generated from os.urandom.""" |
- private = _decodeBigEndian(os.urandom(40)) % order |
- return _encodePoint(_scalarBaseMult(private)), private |
- |
- |
-def generateSharedValue(theirPublic, private): |
- """generateSharedValue returns the encoded x-coordinate of the |
- multiplication of a peer's X9.62 encoded point and a private value.""" |
- return _zeroPad( |
- _encodeBigEndian(_scalarMult(private, _decodePoint(theirPublic))[0]), |
- 32) |
- |
-if __name__ == "__main__": |
- alice, alicePrivate = generatePublicPrivate() |
- bob, bobPrivate = generatePublicPrivate() |
- |
- if generateSharedValue(alice, bobPrivate) != generateSharedValue( |
- bob, alicePrivate): |
- raise "simple DH test failed" |
- |
- (x, _) = _scalarBaseMult(1) |
- |
- for i in range(1000): |
- (x, _) = _scalarBaseMult(x) |
- |
- if x != 2428281965257598569040586318034812501729437946720808289049534492833635302706: |
- raise "loop test failed" |