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-rw-r--r--.venv/lib/python3.12/site-packages/ellipticcurve/curve.py90
1 files changed, 90 insertions, 0 deletions
diff --git a/.venv/lib/python3.12/site-packages/ellipticcurve/curve.py b/.venv/lib/python3.12/site-packages/ellipticcurve/curve.py
new file mode 100644
index 00000000..df3e119e
--- /dev/null
+++ b/.venv/lib/python3.12/site-packages/ellipticcurve/curve.py
@@ -0,0 +1,90 @@
+#
+# Elliptic Curve Equation
+#
+# y^2 = x^3 + A*x + B (mod P)
+#
+from .math import Math
+from .point import Point
+
+
+class CurveFp:
+
+ def __init__(self, A, B, P, N, Gx, Gy, name, oid, nistName=None):
+ self.A = A
+ self.B = B
+ self.P = P
+ self.N = N
+ self.G = Point(Gx, Gy)
+ self.name = name
+ self.nistName = nistName
+ self.oid = oid # ASN.1 Object Identifier
+
+ def contains(self, p):
+ """
+ Verify if the point `p` is on the curve
+
+ :param p: Point p = Point(x, y)
+ :return: boolean
+ """
+ if not 0 <= p.x <= self.P - 1:
+ return False
+ if not 0 <= p.y <= self.P - 1:
+ return False
+ if (p.y**2 - (p.x**3 + self.A * p.x + self.B)) % self.P != 0:
+ return False
+ return True
+
+ def length(self):
+ return (1 + len("%x" % self.N)) // 2
+
+ def y(self, x, isEven):
+ ySquared = (pow(x, 3, self.P) + self.A * x + self.B) % self.P
+ y = Math.modularSquareRoot(ySquared, self.P)
+ if isEven != (y % 2 == 0):
+ y = self.P - y
+ return y
+
+
+_curvesByOid = {tuple(curve.oid): curve for curve in []}
+
+
+def add(curve):
+ _curvesByOid[tuple(curve.oid)] = curve
+
+
+def getByOid(oid):
+ if oid not in _curvesByOid:
+ raise Exception("Unknown curve with oid {oid}; The following are registered: {names}".format(
+ oid=".".join([str(number) for number in oid]),
+ names=", ".join([curve.name for curve in _curvesByOid.values()]),
+ ))
+ return _curvesByOid[oid]
+
+
+secp256k1 = CurveFp(
+ name="secp256k1",
+ A=0x0000000000000000000000000000000000000000000000000000000000000000,
+ B=0x0000000000000000000000000000000000000000000000000000000000000007,
+ P=0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,
+ N=0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141,
+ Gx=0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,
+ Gy=0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8,
+ oid=[1, 3, 132, 0, 10]
+)
+
+prime256v1 = CurveFp(
+ name="prime256v1",
+ nistName="P-256",
+ A=0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc,
+ B=0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b,
+ P=0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff,
+ N=0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551,
+ Gx=0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296,
+ Gy=0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5,
+ oid=[1, 2, 840, 10045, 3, 1, 7],
+)
+
+p256 = prime256v1
+
+add(secp256k1)
+add(prime256v1)