use core::fmt;
use std::sync::OnceLock;
use crate::public_key::bigint::BigUint;
use crate::public_key::ec_edwards::{ed25519, EdwardsMulTable, EdwardsPoint, TwistedEdwardsCurve};
use crate::public_key::io::{pem_unwrap, pem_wrap, xml_unwrap, xml_wrap};
use crate::Csprng;
use crate::Sha512;
const ED25519_PUBLIC_LABEL: &str = "CRYPTOGRAPHY ED25519 PUBLIC KEY";
const ED25519_PRIVATE_LABEL: &str = "CRYPTOGRAPHY ED25519 PRIVATE KEY";
#[derive(Clone)]
pub struct Ed25519PublicKey {
point: EdwardsPoint,
point_table: EdwardsMulTable,
}
#[derive(Clone, Eq, PartialEq)]
pub struct Ed25519PrivateKey {
seed: [u8; 32],
scalar: BigUint,
prefix: [u8; 32],
public: Ed25519PublicKey,
}
#[derive(Clone, Eq, PartialEq)]
pub struct Ed25519Signature {
r_point: EdwardsPoint,
s: BigUint,
}
pub struct Ed25519;
impl Ed25519PublicKey {
#[must_use]
pub fn public_point(&self) -> &EdwardsPoint {
&self.point
}
#[must_use]
pub fn to_key_blob(&self) -> Vec<u8> {
curve().encode_point(&self.point)
}
#[must_use]
pub fn to_raw_bytes(&self) -> Vec<u8> {
self.to_key_blob()
}
#[must_use]
pub fn from_key_blob(bytes: &[u8]) -> Option<Self> {
let point = decode_point_strict(bytes)?;
if !point_in_prime_subgroup(&point) {
return None;
}
let point_table = curve().precompute_mul_table(&point);
Some(Self { point, point_table })
}
#[must_use]
pub fn from_raw_bytes(bytes: &[u8]) -> Option<Self> {
Self::from_key_blob(bytes)
}
#[must_use]
pub fn to_pem(&self) -> String {
pem_wrap(ED25519_PUBLIC_LABEL, &self.to_key_blob())
}
#[must_use]
pub fn from_pem(pem: &str) -> Option<Self> {
let bytes = pem_unwrap(ED25519_PUBLIC_LABEL, pem)?;
Self::from_key_blob(&bytes)
}
#[must_use]
pub fn to_xml(&self) -> String {
let public = BigUint::from_be_bytes(&self.to_key_blob());
xml_wrap("Ed25519PublicKey", &[("public", &public)])
}
#[must_use]
pub fn from_xml(xml: &str) -> Option<Self> {
let mut fields = xml_unwrap("Ed25519PublicKey", &["public"], xml)?.into_iter();
let public = fields.next()?;
if fields.next().is_some() {
return None;
}
let bytes = biguint_to_fixed_be(&public, 32)?;
Self::from_key_blob(&bytes)
}
#[must_use]
pub fn verify_message(&self, message: &[u8], signature: &Ed25519Signature) -> bool {
if signature.s >= curve().n {
return false;
}
if !point_in_prime_subgroup(&signature.r_point) {
return false;
}
let challenge = challenge_scalar(&signature.r_point, &self.point, message);
let lhs = curve().scalar_mul_base(&signature.s);
let rhs = curve().add(
&signature.r_point,
&curve().scalar_mul_cached(&self.point_table, &challenge),
);
lhs == rhs
}
#[must_use]
pub fn verify_message_bytes(&self, message: &[u8], signature: &[u8]) -> bool {
let Some(signature) = Ed25519Signature::from_key_blob(signature) else {
return false;
};
self.verify_message(message, &signature)
}
}
impl fmt::Debug for Ed25519PublicKey {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_tuple("Ed25519PublicKey")
.field(&hex_encode(&self.to_key_blob()))
.finish()
}
}
impl PartialEq for Ed25519PublicKey {
fn eq(&self, other: &Self) -> bool {
self.point == other.point
}
}
impl Eq for Ed25519PublicKey {}
impl Ed25519PrivateKey {
#[must_use]
pub fn seed(&self) -> &[u8; 32] {
&self.seed
}
#[must_use]
pub fn scalar(&self) -> &BigUint {
&self.scalar
}
#[must_use]
pub fn to_public_key(&self) -> Ed25519PublicKey {
self.public.clone()
}
#[must_use]
pub fn to_key_blob(&self) -> Vec<u8> {
self.seed.to_vec()
}
#[must_use]
pub fn to_raw_bytes(&self) -> Vec<u8> {
self.to_key_blob()
}
#[must_use]
pub fn from_key_blob(bytes: &[u8]) -> Option<Self> {
let seed: [u8; 32] = bytes.try_into().ok()?;
Some(expand_seed(seed))
}
#[must_use]
pub fn from_raw_bytes(bytes: &[u8]) -> Option<Self> {
Self::from_key_blob(bytes)
}
#[must_use]
pub fn to_pem(&self) -> String {
pem_wrap(ED25519_PRIVATE_LABEL, &self.to_key_blob())
}
#[must_use]
pub fn from_pem(pem: &str) -> Option<Self> {
let bytes = pem_unwrap(ED25519_PRIVATE_LABEL, pem)?;
Self::from_key_blob(&bytes)
}
#[must_use]
pub fn to_xml(&self) -> String {
let seed = BigUint::from_be_bytes(&self.seed);
xml_wrap("Ed25519PrivateKey", &[("seed", &seed)])
}
#[must_use]
pub fn from_xml(xml: &str) -> Option<Self> {
let mut fields = xml_unwrap("Ed25519PrivateKey", &["seed"], xml)?.into_iter();
let seed = fields.next()?;
if fields.next().is_some() {
return None;
}
let bytes = biguint_to_fixed_be(&seed, 32)?;
Self::from_key_blob(&bytes)
}
#[must_use]
pub fn sign_message(&self, message: &[u8]) -> Ed25519Signature {
let mut nonce_input = Vec::with_capacity(self.prefix.len() + message.len());
nonce_input.extend_from_slice(&self.prefix);
nonce_input.extend_from_slice(message);
let r = le_bytes_to_biguint(&Sha512::digest(&nonce_input)).modulo(&curve().n);
let r_point = curve().scalar_mul_base(&r);
let challenge = challenge_scalar(&r_point, &self.public.point, message);
let ka = BigUint::mod_mul(&challenge, &self.scalar, &curve().n);
let s = r.add_ref(&ka).modulo(&curve().n);
Ed25519Signature { r_point, s }
}
#[must_use]
pub fn sign_message_bytes(&self, message: &[u8]) -> Vec<u8> {
self.sign_message(message).to_key_blob()
}
}
impl fmt::Debug for Ed25519PrivateKey {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.write_str("Ed25519PrivateKey(<redacted>)")
}
}
impl Drop for Ed25519PrivateKey {
fn drop(&mut self) {
crate::ct::zeroize_slice(self.seed.as_mut_slice());
crate::ct::zeroize_slice(self.prefix.as_mut_slice());
self.scalar = BigUint::zero();
}
}
impl Ed25519Signature {
#[must_use]
pub fn nonce_point(&self) -> &EdwardsPoint {
&self.r_point
}
#[must_use]
pub fn response(&self) -> &BigUint {
&self.s
}
#[must_use]
pub fn to_key_blob(&self) -> Vec<u8> {
let mut out = curve().encode_point(&self.r_point);
out.extend_from_slice(&biguint_to_fixed_le(&self.s, 32));
out
}
#[must_use]
pub fn from_key_blob(bytes: &[u8]) -> Option<Self> {
if bytes.len() != 64 {
return None;
}
let r_point = decode_point_strict(&bytes[..32])?;
let s = le_bytes_to_biguint(&bytes[32..]);
if s >= curve().n {
return None;
}
Some(Self { r_point, s })
}
}
impl fmt::Debug for Ed25519Signature {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_tuple("Ed25519Signature")
.field(&hex_encode(&self.to_key_blob()))
.finish()
}
}
impl Ed25519 {
#[must_use]
pub fn generate<R: Csprng>(rng: &mut R) -> (Ed25519PublicKey, Ed25519PrivateKey) {
let mut seed = [0u8; 32];
rng.fill_bytes(&mut seed);
let private = expand_seed(seed);
let public = private.to_public_key();
(public, private)
}
#[must_use]
pub fn from_seed(seed: [u8; 32]) -> (Ed25519PublicKey, Ed25519PrivateKey) {
let private = expand_seed(seed);
let public = private.to_public_key();
(public, private)
}
}
fn curve() -> &'static TwistedEdwardsCurve {
static CURVE: OnceLock<TwistedEdwardsCurve> = OnceLock::new();
CURVE.get_or_init(ed25519)
}
fn expand_seed(seed: [u8; 32]) -> Ed25519PrivateKey {
let digest = Sha512::digest(&seed);
let mut scalar_bytes = [0u8; 32];
scalar_bytes.copy_from_slice(&digest[..32]);
clamp_scalar(&mut scalar_bytes);
let scalar = le_bytes_to_biguint(&scalar_bytes);
let mut prefix = [0u8; 32];
prefix.copy_from_slice(&digest[32..64]);
let a_point = curve().scalar_mul_base(&scalar);
let public = Ed25519PublicKey {
point: a_point.clone(),
point_table: curve().precompute_mul_table(&a_point),
};
Ed25519PrivateKey {
seed,
scalar,
prefix,
public,
}
}
fn clamp_scalar(bytes: &mut [u8; 32]) {
bytes[0] &= 248;
bytes[31] &= 63;
bytes[31] |= 64;
}
fn challenge_scalar(r_point: &EdwardsPoint, a_point: &EdwardsPoint, message: &[u8]) -> BigUint {
let mut transcript = curve().encode_point(r_point);
transcript.extend_from_slice(&curve().encode_point(a_point));
transcript.extend_from_slice(message);
le_bytes_to_biguint(&Sha512::digest(&transcript)).modulo(&curve().n)
}
fn decode_point_strict(bytes: &[u8]) -> Option<EdwardsPoint> {
if bytes.len() != 32 {
return None;
}
let mut y_bytes = bytes.to_vec();
*y_bytes.last_mut()? &= 0x7f;
let y = le_bytes_to_biguint(&y_bytes);
if y >= curve().p {
return None;
}
let point = curve().decode_point(bytes)?;
if point.is_neutral() {
return None;
}
Some(point)
}
fn point_in_prime_subgroup(point: &EdwardsPoint) -> bool {
curve().scalar_mul(point, &curve().n).is_neutral()
}
fn le_bytes_to_biguint(bytes: &[u8]) -> BigUint {
let mut be = bytes.to_vec();
be.reverse();
BigUint::from_be_bytes(&be)
}
fn biguint_to_fixed_le(value: &BigUint, len: usize) -> Vec<u8> {
let mut be = value.to_be_bytes();
if be.len() < len {
let mut padded = vec![0u8; len - be.len()];
padded.extend_from_slice(&be);
be = padded;
}
be.reverse();
be
}
fn biguint_to_fixed_be(value: &BigUint, len: usize) -> Option<Vec<u8>> {
let bytes = value.to_be_bytes();
if bytes.len() > len {
return None;
}
if bytes.len() == len {
return Some(bytes);
}
let mut padded = vec![0u8; len - bytes.len()];
padded.extend_from_slice(&bytes);
Some(padded)
}
fn hex_encode(bytes: &[u8]) -> String {
const TABLE: &[u8; 16] = b"0123456789ABCDEF";
let mut out = String::with_capacity(bytes.len() * 2);
for &byte in bytes {
out.push(char::from(TABLE[usize::from(byte >> 4)]));
out.push(char::from(TABLE[usize::from(byte & 0x0f)]));
}
out
}
#[cfg(test)]
mod tests {
use super::{
biguint_to_fixed_le, curve, Ed25519, Ed25519PrivateKey, Ed25519PublicKey, Ed25519Signature,
};
use crate::CtrDrbgAes256;
fn decode_hex(hex: &str) -> Vec<u8> {
let bytes = hex.as_bytes();
let mut out = Vec::with_capacity(bytes.len() / 2);
for chunk in bytes.chunks_exact(2) {
let hi = (chunk[0] as char).to_digit(16).expect("hex") as u8;
let lo = (chunk[1] as char).to_digit(16).expect("hex") as u8;
out.push((hi << 4) | lo);
}
out
}
fn assert_rfc8032_vector(
seed_hex: &str,
public_hex: &str,
message_hex: &str,
signature_hex: &str,
) {
let seed = decode_hex(seed_hex);
let public = decode_hex(public_hex);
let message = decode_hex(message_hex);
let signature = decode_hex(signature_hex);
let seed: [u8; 32] = seed.try_into().expect("seed length");
let (derived_public, private) = Ed25519::from_seed(seed);
assert_eq!(derived_public.to_key_blob(), public);
assert_eq!(private.to_key_blob(), seed);
let sig = private.sign_message(&message);
assert_eq!(sig.to_key_blob(), signature);
assert!(derived_public.verify_message(&message, &sig));
assert!(derived_public.verify_message_bytes(&message, &signature));
}
#[test]
fn rfc8032_test_vectors() {
assert_rfc8032_vector(
"9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60",
"d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a",
"",
concat!(
"e5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e06522490155",
"5fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100b",
),
);
assert_rfc8032_vector(
"4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fb",
"3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660c",
"72",
concat!(
"92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da",
"085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00",
),
);
assert_rfc8032_vector(
"c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7",
"fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025",
"af82",
concat!(
"6291d657deec24024827e69c3abe01a3",
"0ce548a284743a445e3680d7db5ac3ac",
"18ff9b538d16f290ae67f760984dc659",
"4a7c15e9716ed28dc027beceea1ec40a",
),
);
assert_rfc8032_vector(
"f5e5767cf153319517630f226876b86c8160cc583bc013744c6bf255f5cc0ee5",
"278117fc144c72340f67d0f2316e8386ceffbf2b2428c9c51fef7c597f1d426e",
concat!(
"08b8b2b733424243760fe426a4b54908",
"632110a66c2f6591eabd3345e3e4eb98",
"fa6e264bf09efe12ee50f8f54e9f77b1",
"e355f6c50544e23fb1433ddf73be84d8",
"79de7c0046dc4996d9e773f4bc9efe57",
"38829adb26c81b37c93a1b270b20329d",
"658675fc6ea534e0810a4432826bf58c",
"941efb65d57a338bbd2e26640f89ffbc",
"1a858efcb8550ee3a5e1998bd177e93a",
"7363c344fe6b199ee5d02e82d522c4fe",
"ba15452f80288a821a579116ec6dad2b",
"3b310da903401aa62100ab5d1a36553e",
"06203b33890cc9b832f79ef80560ccb9",
"a39ce767967ed628c6ad573cb116dbef",
"efd75499da96bd68a8a97b928a8bbc10",
"3b6621fcde2beca1231d206be6cd9ec7",
"aff6f6c94fcd7204ed3455c68c83f4a4",
"1da4af2b74ef5c53f1d8ac70bdcb7ed1",
"85ce81bd84359d44254d95629e9855a9",
"4a7c1958d1f8ada5d0532ed8a5aa3fb2",
"d17ba70eb6248e594e1a2297acbbb39d",
"502f1a8c6eb6f1ce22b3de1a1f40cc24",
"554119a831a9aad6079cad88425de6bd",
"e1a9187ebb6092cf67bf2b13fd65f270",
"88d78b7e883c8759d2c4f5c65adb7553",
"878ad575f9fad878e80a0c9ba63bcbcc",
"2732e69485bbc9c90bfbd62481d9089b",
"eccf80cfe2df16a2cf65bd92dd597b07",
"07e0917af48bbb75fed413d238f5555a",
"7a569d80c3414a8d0859dc65a46128ba",
"b27af87a71314f318c782b23ebfe808b",
"82b0ce26401d2e22f04d83d1255dc51a",
"ddd3b75a2b1ae0784504df543af8969b",
"e3ea7082ff7fc9888c144da2af58429e",
"c96031dbcad3dad9af0dcbaaaf268cb8",
"fcffead94f3c7ca495e056a9b47acdb7",
"51fb73e666c6c655ade8297297d07ad1",
"ba5e43f1bca32301651339e22904cc8c",
"42f58c30c04aafdb038dda0847dd988d",
"cda6f3bfd15c4b4c4525004aa06eeff8",
"ca61783aacec57fb3d1f92b0fe2fd1a8",
"5f6724517b65e614ad6808d6f6ee34df",
"f7310fdc82aebfd904b01e1dc54b2927",
"094b2db68d6f903b68401adebf5a7e08",
"d78ff4ef5d63653a65040cf9bfd4aca7",
"984a74d37145986780fc0b16ac451649",
"de6188a7dbdf191f64b5fc5e2ab47b57",
"f7f7276cd419c17a3ca8e1b939ae49e4",
"88acba6b965610b5480109c8b17b80e1",
"b7b750dfc7598d5d5011fd2dcc5600a3",
"2ef5b52a1ecc820e308aa342721aac09",
"43bf6686b64b2579376504ccc493d97e",
"6aed3fb0f9cd71a43dd497f01f17c0e2",
"cb3797aa2a2f256656168e6c496afc5f",
"b93246f6b1116398a346f1a641f3b041",
"e989f7914f90cc2c7fff357876e506b5",
"0d334ba77c225bc307ba537152f3f161",
"0e4eafe595f6d9d90d11faa933a15ef1",
"369546868a7f3a45a96768d40fd9d034",
"12c091c6315cf4fde7cb68606937380d",
"b2eaaa707b4c4185c32eddcdd306705e",
"4dc1ffc872eeee475a64dfac86aba41c",
"0618983f8741c5ef68d3a101e8a3b8ca",
"c60c905c15fc910840b94c00a0b9d0",
),
concat!(
"0aab4c900501b3e24d7cdf4663326a3a",
"87df5e4843b2cbdb67cbf6e460fec350",
"aa5371b1508f9f4528ecea23c436d94b",
"5e8fcd4f681e30a6ac00a9704a188a03",
),
);
assert_rfc8032_vector(
"833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42",
"ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bf",
concat!(
"ddaf35a193617abacc417349ae204131",
"12e6fa4e89a97ea20a9eeee64b55d39a",
"2192992a274fc1a836ba3c23a3feebbd",
"454d4423643ce80e2a9ac94fa54ca49f",
),
concat!(
"dc2a4459e7369633a52b1bf277839a00",
"201009a3efbf3ecb69bea2186c26b589",
"09351fc9ac90b3ecfdfbc7c66431e030",
"3dca179c138ac17ad9bef1177331a704",
),
);
}
#[test]
fn public_key_rejects_neutral_encoding() {
let mut neutral = vec![0u8; 32];
neutral[0] = 0x01;
assert!(Ed25519PublicKey::from_key_blob(&neutral).is_none());
}
#[test]
fn signature_rejects_neutral_r_encoding() {
let mut signature = vec![0u8; 64];
signature[0] = 0x01;
assert!(Ed25519Signature::from_key_blob(&signature).is_none());
}
#[test]
fn signature_rejects_non_canonical_s() {
let (_, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x91; 48]));
let mut signature = private.sign_message_bytes(b"non-canonical-s");
signature[32..].copy_from_slice(&biguint_to_fixed_le(&curve().n, 32));
assert!(Ed25519Signature::from_key_blob(&signature).is_none());
}
#[test]
fn sign_verify_roundtrip() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x42; 48]));
let sig = private.sign_message(b"ed25519 roundtrip");
assert!(public.verify_message(b"ed25519 roundtrip", &sig));
assert!(!public.verify_message(b"wrong", &sig));
}
#[test]
fn signature_binary_roundtrip() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x24; 48]));
let sig = private.sign_message(b"serialize");
let blob = sig.to_key_blob();
let decoded = Ed25519Signature::from_key_blob(&blob).expect("decode");
assert_eq!(decoded, sig);
assert!(public.verify_message(b"serialize", &decoded));
}
#[test]
fn key_binary_roundtrip() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x11; 48]));
assert_eq!(
Ed25519PublicKey::from_key_blob(&public.to_key_blob()).expect("public"),
public
);
let private_round =
Ed25519PrivateKey::from_key_blob(&private.to_key_blob()).expect("private");
assert_eq!(private_round, private);
assert_eq!(private_round.to_public_key(), public);
}
#[test]
fn raw_bytes_aliases_match_binary_encoding() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x12; 48]));
assert_eq!(public.to_raw_bytes(), public.to_key_blob());
assert_eq!(private.to_raw_bytes(), private.to_key_blob());
assert_eq!(
Ed25519PublicKey::from_raw_bytes(&public.to_raw_bytes()).expect("public raw"),
public
);
assert_eq!(
Ed25519PrivateKey::from_raw_bytes(&private.to_raw_bytes()).expect("private raw"),
private
);
}
#[test]
fn key_xml_roundtrip() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x2a; 48]));
let public_round = Ed25519PublicKey::from_xml(&public.to_xml()).expect("public xml");
let private_round = Ed25519PrivateKey::from_xml(&private.to_xml()).expect("private xml");
assert_eq!(public_round, public);
assert_eq!(private_round, private);
assert_eq!(private_round.to_public_key(), public);
}
#[test]
fn tampered_signature_is_rejected() {
let (public, private) = Ed25519::generate(&mut CtrDrbgAes256::new(&[0x77; 48]));
let mut sig = private.sign_message_bytes(b"tamper");
sig[63] ^= 0x01;
assert!(!public.verify_message_bytes(b"tamper", &sig));
}
}