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本批内容见 CHANGELOG.md 的 0.2.4 段。按 D41 用孤儿快照推 main,保留「公开史只有里程碑」的模型。
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"""Ed25519 的**参考实现**(RFC 8032),只给发布侧签名脚本用(M190)。
为什么这里自写一套:发布侧签名必须**零第三方依赖**(CI 不装 pip 包),而仓里 `crates/core` 的验签
用的是 `ed25519-dalek`。两套实现互相独立,`sign_manifest.py --self-test` 用 RFC 8032 §7.1 的同一组
向量把两边各自钉住 —— 任何一边坏了,向量那一半会红;两边都「一致地错」的概率极低。
⚠ 这里的私钥路径(`sign`)**只在发布侧**(`packaging/sign_manifest.py --sign`)跑,不进任何产物;
二进制里只有验签(`ed25519-dalek::verify_strict`)。扩展坐标公式与 dalek/ref10 同源,向量自检兜底。
import ed25519_ref as ref
seed = bytes.fromhex("…") # 32 字节种子
pk = ref.public_key(seed)
sig = ref.sign(seed, b"message") # 64 字节
assert ref.verify(pk, b"message", sig)
"""
from __future__ import annotations
import hashlib
ALG = "ed25519"
Q = 2**255 - 19
L = 2**252 + 27742317777372353535851937790883648493
def _inv(x: int) -> int:
return pow(x, Q - 2, Q)
D = -121665 * _inv(121666) % Q
_D2 = 2 * D % Q
_SQRT_M1 = pow(2, (Q - 1) // 4, Q)
def _recover_x(y: int, sign: int) -> int | None:
u = (y * y - 1) % Q
v = (D * y * y + 1) % Q
v3 = pow(v, 3, Q)
v7 = pow(v, 7, Q)
x = u * v3 % Q * pow(u * v7 % Q, (Q - 5) // 8, Q) % Q
if (v * x * x - u) % Q != 0:
x = x * _SQRT_M1 % Q
if (v * x * x - u) % Q != 0:
return None
if x % 2 != sign:
x = (Q - x) % Q
return x
def _decompress(data: bytes) -> tuple[int, int, int, int] | None:
if len(data) != 32:
return None
y = int.from_bytes(data, "little")
sign = (y >> 255) & 1
y &= (1 << 255) - 1
if y >= Q:
return None
x = _recover_x(y, sign)
if x is None:
return None
return (x, y, 1, x * y % Q)
def _add(p: tuple[int, int, int, int], r: tuple[int, int, int, int]):
x1, y1, z1, t1 = p
x2, y2, z2, t2 = r
a = (y1 - x1) * (y2 - x2) % Q
b = (y1 + x1) * (y2 + x2) % Q
c = t1 * _D2 * t2 % Q
d = 2 * z1 * z2 % Q
e, f, g, h = (b - a) % Q, (d - c) % Q, (d + c) % Q, (b + a) % Q
return (e * f % Q, g * h % Q, f * g % Q, e * h % Q)
def _double(p: tuple[int, int, int, int]):
x1, y1, z1, _ = p
a = x1 * x1 % Q
b = y1 * y1 % Q
c = 2 * z1 * z1 % Q
d = -a % Q
e = ((x1 + y1) * (x1 + y1) - a - b) % Q
g = (d + b) % Q
f = (g - c) % Q
h = (d - b) % Q
return (e * f % Q, g * h % Q, f * g % Q, e * h % Q)
def _scalarmult(p, e: int):
acc = (0, 1, 1, 0)
for bit in bin(e)[2:] if e else "":
acc = _double(acc)
if bit == "1":
acc = _add(acc, p)
return acc
def _encode(p) -> bytes:
x, y, z, _ = p
zi = _inv(z)
x, y = x * zi % Q, y * zi % Q
return (y | ((x & 1) << 255)).to_bytes(32, "little")
def _base():
encoded = (4 * _inv(5) % Q).to_bytes(32, "little")
return _decompress(encoded)
def _hint(data: bytes) -> int:
return int.from_bytes(hashlib.sha512(data).digest(), "little") % L
def public_key(seed: bytes) -> bytes:
h = hashlib.sha512(seed).digest()
a = int.from_bytes(_clamp(bytearray(h[:32])), "little")
return _encode(_scalarmult(_base(), a))
def _clamp(scalar: bytearray) -> bytes:
scalar[0] &= 248
scalar[31] &= 127
scalar[31] |= 64
return bytes(scalar)
def sign(seed: bytes, message: bytes) -> bytes:
if len(seed) != 32:
raise SystemExit("error: Ed25519 种子必须 32 字节")
h = hashlib.sha512(seed).digest()
a = int.from_bytes(_clamp(bytearray(h[:32])), "little")
prefix = h[32:]
r = _hint(prefix + message)
r_encoded = _encode(_scalarmult(_base(), r))
pk = _encode(_scalarmult(_base(), a))
k = _hint(r_encoded + pk + message)
s = (r + k * a) % L
return r_encoded + s.to_bytes(32, "little")
def verify(pk: bytes, message: bytes, signature: bytes) -> bool:
if len(pk) != 32 or len(signature) != 64:
return False
r_bytes, s_bytes = signature[:32], signature[32:]
if int.from_bytes(s_bytes, "little") >= L:
return False
a = _decompress(pk)
r_point = _decompress(r_bytes)
if a is None or r_point is None:
return False
k = _hint(r_bytes + pk + message)
left = _scalarmult(_base(), int.from_bytes(s_bytes, "little"))
return _encode(left) == _encode(_add(r_point, _scalarmult(a, k)))