// -*- mode: rust; -*- // // This file is part of ed25519-dalek. // Copyright (c) 2017 Isis Lovecruft // See LICENSE for licensing information. // // Authors: // - Isis Agora Lovecruft //! A Rust implementation of ed25519 EdDSA key generation, signing, and //! verification. use core::fmt::Debug; #[cfg(feature = "std")] use rand::Rng; use digest::BlockInput; use digest::Digest; use digest::Input; use digest::FixedOutput; use generic_array::typenum::U64; use curve25519_dalek::constants; use curve25519_dalek::edwards::CompressedEdwardsY; use curve25519_dalek::edwards::ExtendedPoint; use curve25519_dalek::scalar::Scalar; use subtle::slices_equal; /// The length of an ed25519 EdDSA `Signature`, in bytes. pub const SIGNATURE_LENGTH: usize = 64; /// The length of an ed25519 EdDSA `SecretKey`, in bytes. pub const SECRET_KEY_LENGTH: usize = 32; /// The length of an ed25519 EdDSA `PublicKey`, in bytes. pub const PUBLIC_KEY_LENGTH: usize = 32; /// An EdDSA signature. /// /// # Note /// /// These signatures, unlike the ed25519 signature reference implementation, are /// "detached"—that is, they do **not** include a copy of the message which has /// been signed. #[derive(Copy)] #[repr(C)] pub struct Signature(pub [u8; SIGNATURE_LENGTH]); impl Clone for Signature { fn clone(&self) -> Self { *self } } impl Debug for Signature { fn fmt(&self, f: &mut ::core::fmt::Formatter) -> ::core::fmt::Result { write!(f, "Signature([{:?}])", &self.0[..]) } } impl Eq for Signature {} impl PartialEq for Signature { fn eq(&self, other: &Signature) -> bool { let mut equal: u8 = 0; for i in 0..64 { equal |= self.0[i] ^ other.0[i]; } if equal == 0 { return true; } else { return false; } } } impl Signature { /// View this `Signature` as a byte array. #[inline] pub fn to_bytes(&self) -> [u8; SIGNATURE_LENGTH] { self.0 } /// View this `Signature` as a byte array. #[inline] pub fn as_bytes<'a>(&'a self) -> &'a [u8; SIGNATURE_LENGTH] { &self.0 } /// Construct a `Signature` from a slice of bytes. #[inline] pub fn from_bytes(bytes: &[u8]) -> Signature { Signature(*array_ref!(bytes, 0, SIGNATURE_LENGTH)) } } /// An EdDSA secret key. #[repr(C)] pub struct SecretKey(pub [u8; SECRET_KEY_LENGTH]); impl Debug for SecretKey { fn fmt(&self, f: &mut ::core::fmt::Formatter) -> ::core::fmt::Result { write!(f, "SecretKey: {:?}", &self.0[..]) } } impl SecretKey { /// Convert this secret key to a byte array. #[inline] pub fn to_bytes(&self) -> [u8; SECRET_KEY_LENGTH] { self.0 } /// View this secret key as a byte array. #[inline] pub fn as_bytes<'a>(&'a self) -> &'a [u8; SECRET_KEY_LENGTH] { &self.0 } /// Construct a `SecretKey` from a slice of bytes. /// /// # Example /// /// ``` /// # extern crate ed25519_dalek; /// # fn main() { /// use ed25519_dalek::SecretKey; /// use ed25519_dalek::SECRET_KEY_LENGTH; /// /// let secret_key_bytes: [u8; SECRET_KEY_LENGTH] = [ /// 157, 097, 177, 157, 239, 253, 090, 096, /// 186, 132, 074, 244, 146, 236, 044, 196, /// 068, 073, 197, 105, 123, 050, 105, 025, /// 112, 059, 172, 003, 028, 174, 127, 096, ]; /// /// let secret_key: SecretKey = SecretKey::from_bytes(&secret_key_bytes[..]); /// # } /// ``` /// /// # Returns /// /// An EdDSA `SecretKey`. #[inline] pub fn from_bytes(bytes: &[u8]) -> SecretKey { SecretKey(*array_ref!(bytes, 0, SECRET_KEY_LENGTH)) } /// Generate a `SecretKey` from a `csprng`. /// /// # Example /// /// ``` /// extern crate rand; /// extern crate sha2; /// extern crate ed25519_dalek; /// /// # fn main() { /// /// use rand::Rng; /// use rand::OsRng; /// use sha2::Sha512; /// use ed25519_dalek::PublicKey; /// use ed25519_dalek::SecretKey; /// use ed25519_dalek::Signature; /// /// let mut csprng: OsRng = OsRng::new().unwrap(); /// let secret_key: SecretKey = SecretKey::generate(&mut csprng); /// /// # } /// ``` /// /// Afterwards, you can generate the corresponding public—provided you also /// supply a hash function which implements the `Digest` and `Default` /// traits, and which returns 512 bits of output—via: /// /// ``` /// # extern crate rand; /// # extern crate sha2; /// # extern crate ed25519_dalek; /// # /// # fn main() { /// # /// # use rand::Rng; /// # use rand::OsRng; /// # use sha2::Sha512; /// # use ed25519_dalek::PublicKey; /// # use ed25519_dalek::SecretKey; /// # use ed25519_dalek::Signature; /// # /// # let mut csprng: OsRng = OsRng::new().unwrap(); /// # let secret_key: SecretKey = SecretKey::generate(&mut csprng); /// /// let public_key: PublicKey = PublicKey::from_secret::(&secret_key); /// # } /// ``` /// /// The standard hash function used for most ed25519 libraries is SHA-512, /// which is available with `use sha2::Sha512` as in the example above. /// Other suitable hash functions include Keccak-512 and Blake2b-512. /// /// # Input /// /// A CSPRING with a `fill_bytes()` method, e.g. the one returned /// from `rand::OsRng::new()` (in the `rand` crate). /// #[cfg(feature = "std")] pub fn generate(csprng: &mut Rng) -> SecretKey { let mut sk: SecretKey = SecretKey([0u8; 32]); csprng.fill_bytes(&mut sk.0); sk } } /// An ed25519 public key. #[derive(Copy, Clone)] #[repr(C)] pub struct PublicKey(pub CompressedEdwardsY); impl Debug for PublicKey { fn fmt(&self, f: &mut ::core::fmt::Formatter) -> ::core::fmt::Result { write!(f, "PublicKey( CompressedPoint( {:?} ))", self.0) } } impl PublicKey { /// Convert this public key to a byte array. #[inline] pub fn to_bytes(&self) -> [u8; PUBLIC_KEY_LENGTH] { self.0.to_bytes() } /// View this public key as a byte array. #[inline] pub fn as_bytes<'a>(&'a self) -> &'a [u8; PUBLIC_KEY_LENGTH] { &(self.0).0 } /// Construct a `PublicKey` from a slice of bytes. /// /// # Warning /// /// The caller is responsible for ensuring that the bytes passed into this /// method actually represent a `curve25519_dalek::curve::CompressedEdwardsY` /// and that said compressed point is actually a point on the curve. /// /// # Example /// /// ``` /// # extern crate ed25519_dalek; /// # fn main() { /// use ed25519_dalek::PublicKey; /// use ed25519_dalek::PUBLIC_KEY_LENGTH; /// /// let public_key_bytes: [u8; PUBLIC_KEY_LENGTH] = [ /// 215, 90, 152, 1, 130, 177, 10, 183, 213, 75, 254, 211, 201, 100, 7, 58, /// 14, 225, 114, 243, 218, 166, 35, 37, 175, 2, 26, 104, 247, 7, 81, 26]; /// /// let public_key: PublicKey = PublicKey::from_bytes(&public_key_bytes); /// # } /// ``` /// /// # Returns /// /// A `PublicKey`. #[inline] pub fn from_bytes(bytes: &[u8]) -> PublicKey { PublicKey(CompressedEdwardsY(*array_ref!(bytes, 0, 32))) } /// Convert this public key to its underlying extended twisted Edwards coordinate. #[inline] fn decompress(&self) -> Option { self.0.decompress() } /// Derive this public key from its corresponding `SecretKey`. #[cfg(feature = "std")] #[allow(unused_assignments)] pub fn from_secret(secret_key: &SecretKey) -> PublicKey where D: Digest + Default { let mut h: D = D::default(); let mut hash: [u8; 64] = [0u8; 64]; let pk: [u8; 32]; let mut digest: &mut [u8; 32]; h.input(secret_key.as_bytes()); hash.copy_from_slice(h.fixed_result().as_slice()); digest = array_mut_ref!(&mut hash, 0, 32); digest[0] &= 248; digest[31] &= 127; digest[31] |= 64; pk = (&Scalar(*digest) * &constants::ED25519_BASEPOINT_TABLE).compress().to_bytes(); PublicKey(CompressedEdwardsY(pk)) } /// Verify a signature on a message with this keypair's public key. /// /// # Return /// /// Returns true if the signature was successfully verified, and /// false otherwise. pub fn verify(&self, message: &[u8], signature: &Signature) -> bool where D: Digest + Default { use curve25519_dalek::edwards::vartime; let mut h: D = D::default(); let mut a: ExtendedPoint; let ao: Option; let r: ExtendedPoint; let digest: [u8; 64]; let digest_reduced: Scalar; if signature.0[63] & 224 != 0 { return false; } ao = self.decompress(); if ao.is_some() { a = ao.unwrap(); } else { return false; } a = -(&a); let top_half: &[u8; 32] = array_ref!(&signature.0, 32, 32); let bottom_half: &[u8; 32] = array_ref!(&signature.0, 0, 32); h.input(&bottom_half[..]); h.input(&self.to_bytes()); h.input(&message); let digest_bytes = h.fixed_result(); digest = *array_ref!(digest_bytes, 0, 64); digest_reduced = Scalar::reduce(&digest); r = vartime::double_scalar_mult_basepoint(&digest_reduced, &a, &Scalar(*top_half)); slices_equal(bottom_half, &r.compress().to_bytes()) == 1 } } /// An ed25519 keypair. #[derive(Debug)] #[repr(C)] pub struct Keypair { /// The public half of this keypair. pub public: PublicKey, /// The secret half of this keypair. pub secret: SecretKey, } impl Keypair { /// Construct a `Keypair` from the bytes of a `PublicKey` and `SecretKey`. /// /// # Inputs /// /// * `public`: a `[u8; 32]` representing the compressed Edwards-Y /// coordinate of a point on curve25519. /// * `secret`: a `[u8; 32]` representing the corresponding secret key. /// /// # Warning /// /// Absolutely no validation is done on the key. If you give this function /// bytes which do not represent a valid point, or which do not represent /// corresponding parts of the key, then your `Keypair` will be broken and /// it will be your fault. /// /// # Returns /// /// A `Keypair`. pub fn from_bytes<'a>(public: &'a [u8; 32], secret: &'a [u8; 32]) -> Keypair { Keypair{ public: PublicKey::from_bytes(public), secret: SecretKey::from_bytes(secret), } } /// Generate an ed25519 keypair. /// /// # Example /// /// ``` /// extern crate rand; /// extern crate sha2; /// extern crate ed25519_dalek; /// /// # fn main() { /// /// use rand::Rng; /// use rand::OsRng; /// use sha2::Sha512; /// use ed25519_dalek::Keypair; /// use ed25519_dalek::Signature; /// /// let mut cspring: OsRng = OsRng::new().unwrap(); /// let keypair: Keypair = Keypair::generate::(&mut cspring); /// /// # } /// ``` /// /// # Input /// /// A CSPRNG with a `fill_bytes()` method, e.g. the one returned /// from `rand::OsRng::new()` (in the `rand` crate). /// /// The caller must also supply a hash function which implements the /// `Digest` and `Default` traits, and which returns 512 bits of output. /// The standard hash function used for most ed25519 libraries is SHA-512, /// which is available with `use sha2::Sha512` as in the example above. /// Other suitable hash functions include Keccak-512 and Blake2b-512. #[cfg(feature = "std")] pub fn generate(csprng: &mut Rng) -> Keypair where D: Digest + Default { let sk: SecretKey = SecretKey::generate(csprng); let pk: PublicKey = PublicKey::from_secret::(&sk); Keypair{ public: pk, secret: sk } } /// Sign a message with this keypair's secret key. pub fn sign(&self, message: &[u8]) -> Signature where D: Digest + Default { let mut h: D = D::default(); let mut hash: [u8; 64] = [0u8; 64]; let mut signature_bytes: [u8; 64] = [0u8; SIGNATURE_LENGTH]; let mut expanded_key_secret: Scalar; let mesg_digest: Scalar; let hram_digest: Scalar; let r: ExtendedPoint; let s: Scalar; let t: CompressedEdwardsY; let secret_key: &[u8; 32] = self.secret.as_bytes(); let public_key: &[u8; 32] = self.public.as_bytes(); h.input(secret_key); hash.copy_from_slice(h.fixed_result().as_slice()); expanded_key_secret = Scalar(*array_ref!(&hash, 0, 32)); expanded_key_secret[0] &= 248; expanded_key_secret[31] &= 63; expanded_key_secret[31] |= 64; h = D::default(); h.input(&hash[32..]); h.input(&message); hash.copy_from_slice(h.fixed_result().as_slice()); mesg_digest = Scalar::reduce(&hash); r = &mesg_digest * &constants::ED25519_BASEPOINT_TABLE; h = D::default(); h.input(&r.compress().to_bytes()[..]); h.input(public_key); h.input(&message); hash.copy_from_slice(h.fixed_result().as_slice()); hram_digest = Scalar::reduce(&hash); s = Scalar::multiply_add(&hram_digest, &expanded_key_secret, &mesg_digest); t = r.compress(); signature_bytes[..32].copy_from_slice(&t.0); signature_bytes[32..64].copy_from_slice(&s.0); Signature(*array_ref!(&signature_bytes, 0, 64)) } /// Verify a signature on a message with this keypair's public key. pub fn verify(&self, message: &[u8], signature: &Signature) -> bool where D: FixedOutput + BlockInput + Default + Input { self.public.verify::(message, signature) } } #[cfg(test)] mod test { use std::io::BufReader; use std::io::BufRead; use std::fs::File; use std::string::String; use std::vec::Vec; use curve25519_dalek::edwards::ExtendedPoint; use rand::OsRng; use hex::FromHex; use sha2::Sha512; use super::*; #[test] fn unmarshal_marshal() { // TestUnmarshalMarshal let mut cspring: OsRng; let mut keypair: Keypair; let mut x: Option; let a: ExtendedPoint; let public: PublicKey; cspring = OsRng::new().unwrap(); // from_bytes() fails if vx²-u=0 and vx²+u=0 loop { keypair = Keypair::generate::(&mut cspring); x = keypair.public.decompress(); if x.is_some() { a = x.unwrap(); break; } } public = PublicKey(a.compress()); assert!(keypair.public.0 == public.0); } #[test] fn sign_verify() { // TestSignVerify let mut cspring: OsRng; let keypair: Keypair; let good_sig: Signature; let bad_sig: Signature; let good: &[u8] = "test message".as_bytes(); let bad: &[u8] = "wrong message".as_bytes(); cspring = OsRng::new().unwrap(); keypair = Keypair::generate::(&mut cspring); good_sig = keypair.sign::(&good); bad_sig = keypair.sign::(&bad); assert!(keypair.verify::(&good, &good_sig) == true, "Verification of a valid signature failed!"); assert!(keypair.verify::(&good, &bad_sig) == false, "Verification of a signature on a different message passed!"); assert!(keypair.verify::(&bad, &good_sig) == false, "Verification of a signature on a different message passed!"); } // TESTVECTORS is taken from sign.input.gz in agl's ed25519 Golang // package. It is a selection of test cases from // http://ed25519.cr.yp.to/python/sign.input #[cfg(test)] #[cfg(not(release))] #[test] fn golden() { // TestGolden let mut line: String; let mut lineno: usize = 0; let f = File::open("TESTVECTORS"); if f.is_err() { println!("This test is only available when the code has been cloned \ from the git repository, since the TESTVECTORS file is large \ and is therefore not included within the distributed crate."); panic!(); } let file = BufReader::new(f.unwrap()); for l in file.lines() { lineno += 1; line = l.unwrap(); let parts: Vec<&str> = line.split(':').collect(); assert_eq!(parts.len(), 5, "wrong number of fields in line {}", lineno); let sec_bytes: Vec= FromHex::from_hex(&parts[0]).unwrap(); let pub_bytes: Vec = FromHex::from_hex(&parts[1]).unwrap(); let message: Vec = FromHex::from_hex(&parts[2]).unwrap(); let sig_bytes: Vec = FromHex::from_hex(&parts[3]).unwrap(); // The signatures in the test vectors also include the message // at the end, but we just want R and S. let sig1: Signature = Signature::from_bytes(sig_bytes.as_ref()); let keypair: Keypair = Keypair::from_bytes( array_ref!(*pub_bytes, 0, PUBLIC_KEY_LENGTH), array_ref!(*sec_bytes, 0, SECRET_KEY_LENGTH)); let sig2: Signature = keypair.sign::(&message); assert!(sig1 == sig2, "Signature bytes not equal on line {}", lineno); assert!(keypair.verify::(&message, &sig2), "Signature verification failed on line {}", lineno); } } } #[cfg(all(test, feature = "bench"))] mod bench { use test::Bencher; use rand::OsRng; use sha2::Sha512; use super::*; /// A fake RNG which simply returns zeroes. struct ZeroRng; impl ZeroRng { pub fn new() -> ZeroRng { ZeroRng } } impl Rng for ZeroRng { fn next_u32(&mut self) -> u32 { 0u32 } fn fill_bytes(&mut self, bytes: &mut [u8]) { for i in 0 .. bytes.len() { bytes[i] = 0; } } } #[bench] fn sign(b: &mut Bencher) { let mut cspring: OsRng = OsRng::new().unwrap(); let keypair: Keypair = Keypair::generate::(&mut cspring); let msg: &[u8] = b""; b.iter(| | keypair.sign::(msg)); } #[bench] fn verify(b: &mut Bencher) { let mut cspring: OsRng = OsRng::new().unwrap(); let keypair: Keypair = Keypair::generate::(&mut cspring); let msg: &[u8] = b""; let sig: Signature = keypair.sign::(msg); b.iter(| | keypair.verify::(msg, &sig)); } #[bench] fn key_generation(b: &mut Bencher) { let mut rng: ZeroRng = ZeroRng::new(); b.iter(| | Keypair::generate::(&mut rng)); } #[bench] fn underlying_scalar_mult_basepoint(b: &mut Bencher) { use curve25519_dalek::constants::ED25519_BASEPOINT_TABLE; let scalar: Scalar = Scalar([ 20, 130, 129, 196, 247, 182, 211, 102, 11, 168, 169, 131, 159, 69, 126, 35, 109, 193, 175, 54, 118, 234, 138, 81, 60, 183, 80, 186, 92, 248, 132, 13, ]); b.iter(| | &scalar * &ED25519_BASEPOINT_TABLE); } }