ed25519_dalek/

signing.rs

// -*- mode: rust; -*-
//
// This file is part of ed25519-dalek.
// Copyright (c) 2017-2019 isis lovecruft
// See LICENSE for licensing information.
//
// Authors:
// - isis agora lovecruft <isis@patternsinthevoid.net>

//! ed25519 signing keys.

use core::fmt::Debug;

#[cfg(feature = "pkcs8")]
use ed25519::pkcs8;

#[cfg(any(test, feature = "rand_core"))]
use rand_core::CryptoRng;

#[cfg(feature = "serde")]
use serde::{Deserialize, Deserializer, Serialize, Serializer};

use sha2::Sha512;
use subtle::{Choice, ConstantTimeEq};

use curve25519_dalek::{
    digest::{Digest, array::typenum::U64},
    edwards::{CompressedEdwardsY, EdwardsPoint},
    scalar::Scalar,
};

use ed25519::signature::{KeypairRef, MultipartSigner, MultipartVerifier, Signer, Verifier};

#[cfg(feature = "digest")]
use crate::context::Context;
#[cfg(feature = "digest")]
use signature::DigestSigner;

#[cfg(feature = "zeroize")]
use zeroize::{Zeroize, ZeroizeOnDrop};

#[cfg(feature = "hazmat")]
use crate::verifying::StreamVerifier;
use crate::{
    Signature,
    constants::{KEYPAIR_LENGTH, SECRET_KEY_LENGTH},
    errors::{InternalError, SignatureError},
    hazmat::ExpandedSecretKey,
    signature::InternalSignature,
    verifying::VerifyingKey,
};

/// ed25519 secret key as defined in [RFC8032 § 5.1.5]:
///
/// > The private key is 32 octets (256 bits, corresponding to b) of
/// > cryptographically secure random data.
///
/// [RFC8032 § 5.1.5]: https://www.rfc-editor.org/rfc/rfc8032#section-5.1.5
pub type SecretKey = [u8; SECRET_KEY_LENGTH];

/// ed25519 signing key which can be used to produce signatures.
// Invariant: `verifying_key` is always the public key of
// `secret_key`. This prevents the signing function oracle attack
// described in https://github.com/MystenLabs/ed25519-unsafe-libs
#[derive(Clone)]
pub struct SigningKey {
    /// The secret half of this signing key.
    pub(crate) secret_key: SecretKey,
    /// The public half of this signing key.
    pub(crate) verifying_key: VerifyingKey,
}

/// # Example
///
/// ```
/// # extern crate ed25519_dalek;
/// #
/// use ed25519_dalek::SigningKey;
/// use ed25519_dalek::SECRET_KEY_LENGTH;
/// use ed25519_dalek::SignatureError;
///
/// # fn doctest() -> Result<SigningKey, SignatureError> {
/// 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 signing_key: SigningKey = SigningKey::from_bytes(&secret_key_bytes);
/// assert_eq!(signing_key.to_bytes(), secret_key_bytes);
///
/// # Ok(signing_key)
/// # }
/// #
/// # fn main() {
/// #     let result = doctest();
/// #     assert!(result.is_ok());
/// # }
/// ```
impl SigningKey {
    /// Construct a [`SigningKey`] from a [`SecretKey`]
    ///
    #[inline]
    pub fn from_bytes(secret_key: &SecretKey) -> Self {
        let verifying_key = VerifyingKey::from(&ExpandedSecretKey::from(secret_key));
        Self {
            secret_key: *secret_key,
            verifying_key,
        }
    }

    /// Convert this [`SigningKey`] into a [`SecretKey`]
    #[inline]
    pub fn to_bytes(&self) -> SecretKey {
        self.secret_key
    }

    /// Convert this [`SigningKey`] into a [`SecretKey`] reference
    #[inline]
    pub fn as_bytes(&self) -> &SecretKey {
        &self.secret_key
    }

    /// Construct a [`SigningKey`] from the bytes of a `VerifyingKey` and `SecretKey`.
    ///
    /// # Inputs
    ///
    /// * `bytes`: an `&[u8]` of length [`KEYPAIR_LENGTH`], representing the
    ///   scalar for the secret key, and a compressed Edwards-Y coordinate of a
    ///   point on curve25519, both as bytes. (As obtained from
    ///   [`SigningKey::to_bytes`].)
    ///
    /// # Returns
    ///
    /// A `Result` whose okay value is an EdDSA [`SigningKey`] or whose error value
    /// is a `SignatureError` describing the error that occurred.
    #[inline]
    pub fn from_keypair_bytes(bytes: &[u8; 64]) -> Result<SigningKey, SignatureError> {
        let (secret_key, verifying_key) = bytes.split_at(SECRET_KEY_LENGTH);
        let signing_key = SigningKey::try_from(secret_key)?;
        let verifying_key = VerifyingKey::try_from(verifying_key)?;

        if signing_key.verifying_key() != verifying_key {
            return Err(InternalError::MismatchedKeypair.into());
        }

        Ok(signing_key)
    }

    /// Convert this signing key to a 64-byte keypair.
    ///
    /// # Returns
    ///
    /// An array of bytes, `[u8; KEYPAIR_LENGTH]`.  The first
    /// `SECRET_KEY_LENGTH` of bytes is the `SecretKey`, and the next
    /// `PUBLIC_KEY_LENGTH` bytes is the `VerifyingKey` (the same as other
    /// libraries, such as [Adam Langley's ed25519 Golang
    /// implementation](https://github.com/agl/ed25519/)). It is guaranteed that
    /// the encoded public key is the one derived from the encoded secret key.
    pub fn to_keypair_bytes(&self) -> [u8; KEYPAIR_LENGTH] {
        let mut bytes: [u8; KEYPAIR_LENGTH] = [0u8; KEYPAIR_LENGTH];

        bytes[..SECRET_KEY_LENGTH].copy_from_slice(&self.secret_key);
        bytes[SECRET_KEY_LENGTH..].copy_from_slice(self.verifying_key.as_bytes());
        bytes
    }

    /// Get the [`VerifyingKey`] for this [`SigningKey`].
    pub fn verifying_key(&self) -> VerifyingKey {
        self.verifying_key
    }

    /// Create a signing context that can be used for Ed25519ph with
    /// [`DigestSigner`].
    #[cfg(feature = "digest")]
    pub fn with_context<'k, 'v>(
        &'k self,
        context_value: &'v [u8],
    ) -> Result<Context<'k, 'v, Self>, SignatureError> {
        Context::new(self, context_value)
    }

    /// Generate an ed25519 signing key.
    ///
    /// # Example
    ///
    #[cfg_attr(feature = "rand_core", doc = "```")]
    #[cfg_attr(not(feature = "rand_core"), doc = "```ignore")]
    /// # fn main() {
    /// use rand::rngs::OsRng;
    /// use rand_core::TryRngCore;
    /// use ed25519_dalek::{Signature, SigningKey};
    ///
    /// let mut csprng = OsRng.unwrap_err();
    /// let signing_key: SigningKey = SigningKey::generate(&mut csprng);
    /// # }
    /// ```
    ///
    /// # Input
    ///
    /// A CSPRNG with a `fill_bytes()` method, e.g. `rand_os::OsRng`.
    #[cfg(any(test, feature = "rand_core"))]
    pub fn generate<R: CryptoRng + ?Sized>(csprng: &mut R) -> SigningKey {
        let mut secret = SecretKey::default();
        csprng.fill_bytes(&mut secret);
        Self::from_bytes(&secret)
    }

    /// Sign a `prehashed_message` with this [`SigningKey`] using the
    /// Ed25519ph algorithm defined in [RFC8032 §5.1][rfc8032].
    ///
    /// # Inputs
    ///
    /// * `prehashed_message` is an instantiated hash digest with 512-bits of
    ///   output which has had the message to be signed previously fed into its
    ///   state.
    /// * `context` is an optional context string, up to 255 bytes inclusive,
    ///   which may be used to provide additional domain separation.  If not
    ///   set, this will default to an empty string.
    ///
    /// # Returns
    ///
    /// An Ed25519ph [`Signature`] on the `prehashed_message`.
    ///
    /// # Note
    ///
    /// The RFC only permits SHA-512 to be used for prehashing, i.e., `MsgDigest = Sha512`. This
    /// function technically works, and is probably safe to use, with any secure hash function with
    /// 512-bit digests, but anything outside of SHA-512 is NOT specification-compliant. We expose
    /// [`crate::Sha512`] for user convenience.
    ///
    /// # Examples
    ///
    #[cfg_attr(all(feature = "rand_core", feature = "digest"), doc = "```")]
    #[cfg_attr(
        any(not(feature = "rand_core"), not(feature = "digest")),
        doc = "```ignore"
    )]
    /// use ed25519_dalek::Digest;
    /// use ed25519_dalek::SigningKey;
    /// use ed25519_dalek::Signature;
    /// use sha2::Sha512;
    /// use rand::rngs::OsRng;
    /// use rand_core::TryRngCore;
    ///
    /// # fn main() {
    /// let mut csprng = OsRng.unwrap_err();
    /// let signing_key: SigningKey = SigningKey::generate(&mut csprng);
    /// let message: &[u8] = b"All I want is to pet all of the dogs.";
    ///
    /// // Create a hash digest object which we'll feed the message into:
    /// let mut prehashed: Sha512 = Sha512::new();
    ///
    /// prehashed.update(message);
    /// # }
    /// ```
    ///
    /// If you want, you can optionally pass a "context".  It is generally a
    /// good idea to choose a context and try to make it unique to your project
    /// and this specific usage of signatures.
    ///
    /// For example, without this, if you were to [convert your OpenPGP key
    /// to a Bitcoin key][terrible_idea] (just as an example, and also Don't
    /// Ever Do That) and someone tricked you into signing an "email" which was
    /// actually a Bitcoin transaction moving all your magic internet money to
    /// their address, it'd be a valid transaction.
    ///
    /// By adding a context, this trick becomes impossible, because the context
    /// is concatenated into the hash, which is then signed.  So, going with the
    /// previous example, if your bitcoin wallet used a context of
    /// "BitcoinWalletAppTxnSigning" and OpenPGP used a context (this is likely
    /// the least of their safety problems) of "GPGsCryptoIsntConstantTimeLol",
    /// then the signatures produced by both could never match the other, even
    /// if they signed the exact same message with the same key.
    ///
    /// Let's add a context for good measure (remember, you'll want to choose
    /// your own!):
    ///
    #[cfg_attr(all(feature = "rand_core", feature = "digest"), doc = "```")]
    #[cfg_attr(
        any(not(feature = "rand_core"), not(feature = "digest")),
        doc = "```ignore"
    )]
    /// # use ed25519_dalek::Digest;
    /// # use ed25519_dalek::SigningKey;
    /// # use ed25519_dalek::Signature;
    /// # use ed25519_dalek::SignatureError;
    /// # use sha2::Sha512;
    /// # use rand::rngs::OsRng;
    /// # use rand_core::TryRngCore;
    /// #
    /// # fn do_test() -> Result<Signature, SignatureError> {
    /// # let mut csprng = OsRng.unwrap_err();
    /// # let signing_key: SigningKey = SigningKey::generate(&mut csprng);
    /// # let message: &[u8] = b"All I want is to pet all of the dogs.";
    /// # let mut prehashed: Sha512 = Sha512::new();
    /// # prehashed.update(message);
    /// #
    /// let context: &[u8] = b"Ed25519DalekSignPrehashedDoctest";
    ///
    /// let sig: Signature = signing_key.sign_prehashed(prehashed, Some(context))?;
    /// #
    /// # Ok(sig)
    /// # }
    /// # fn main() {
    /// #     do_test();
    /// # }
    /// ```
    ///
    /// [rfc8032]: https://tools.ietf.org/html/rfc8032#section-5.1
    /// [terrible_idea]: https://github.com/isislovecruft/scripts/blob/master/gpgkey2bc.py
    #[cfg(feature = "digest")]
    pub fn sign_prehashed<MsgDigest>(
        &self,
        prehashed_message: MsgDigest,
        context: Option<&[u8]>,
    ) -> Result<Signature, SignatureError>
    where
        MsgDigest: Digest<OutputSize = U64>,
    {
        ExpandedSecretKey::from(&self.secret_key).raw_sign_prehashed::<Sha512, MsgDigest>(
            prehashed_message,
            &self.verifying_key,
            context,
        )
    }

    /// Verify a signature on a message with this signing key's public key.
    pub fn verify(&self, message: &[u8], signature: &Signature) -> Result<(), SignatureError> {
        self.verifying_key.verify(message, signature)
    }

    /// Verify a `signature` on a `prehashed_message` using the Ed25519ph algorithm.
    ///
    /// # Inputs
    ///
    /// * `prehashed_message` is an instantiated hash digest with 512-bits of
    ///   output which has had the message to be signed previously fed into its
    ///   state.
    /// * `context` is an optional context string, up to 255 bytes inclusive,
    ///   which may be used to provide additional domain separation.  If not
    ///   set, this will default to an empty string.
    /// * `signature` is a purported Ed25519ph [`Signature`] on the `prehashed_message`.
    ///
    /// # Returns
    ///
    /// Returns `true` if the `signature` was a valid signature created by this
    /// [`SigningKey`] on the `prehashed_message`.
    ///
    /// # Note
    ///
    /// The RFC only permits SHA-512 to be used for prehashing, i.e., `MsgDigest = Sha512`. This
    /// function technically works, and is probably safe to use, with any secure hash function with
    /// 512-bit digests, but anything outside of SHA-512 is NOT specification-compliant. We expose
    /// [`crate::Sha512`] for user convenience.
    ///
    /// # Examples
    ///
    #[cfg_attr(all(feature = "rand_core", feature = "digest"), doc = "```")]
    #[cfg_attr(
        any(not(feature = "rand_core"), not(feature = "digest")),
        doc = "```ignore"
    )]
    /// use ed25519_dalek::Digest;
    /// use ed25519_dalek::SigningKey;
    /// use ed25519_dalek::Signature;
    /// use ed25519_dalek::SignatureError;
    /// use sha2::Sha512;
    /// use rand::rngs::OsRng;
    /// use rand_core::TryRngCore;
    ///
    /// # fn do_test() -> Result<(), SignatureError> {
    /// let mut csprng = OsRng.unwrap_err();
    /// let signing_key: SigningKey = SigningKey::generate(&mut csprng);
    /// let message: &[u8] = b"All I want is to pet all of the dogs.";
    ///
    /// let mut prehashed: Sha512 = Sha512::new();
    /// prehashed.update(message);
    ///
    /// let context: &[u8] = b"Ed25519DalekSignPrehashedDoctest";
    ///
    /// let sig: Signature = signing_key.sign_prehashed(prehashed, Some(context))?;
    ///
    /// // The sha2::Sha512 struct doesn't implement Copy, so we'll have to create a new one:
    /// let mut prehashed_again: Sha512 = Sha512::default();
    /// prehashed_again.update(message);
    ///
    /// let verified = signing_key.verifying_key().verify_prehashed(prehashed_again, Some(context), &sig);
    ///
    /// assert!(verified.is_ok());
    ///
    /// # verified
    /// # }
    /// #
    /// # fn main() {
    /// #     do_test();
    /// # }
    /// ```
    ///
    /// [rfc8032]: https://tools.ietf.org/html/rfc8032#section-5.1
    #[cfg(feature = "digest")]
    pub fn verify_prehashed<MsgDigest>(
        &self,
        prehashed_message: MsgDigest,
        context: Option<&[u8]>,
        signature: &Signature,
    ) -> Result<(), SignatureError>
    where
        MsgDigest: Digest<OutputSize = U64>,
    {
        self.verifying_key
            .verify_prehashed(prehashed_message, context, signature)
    }

    /// Strictly verify a signature on a message with this signing key's public key.
    ///
    /// # On The (Multiple) Sources of Malleability in Ed25519 Signatures
    ///
    /// This version of verification is technically non-RFC8032 compliant.  The
    /// following explains why.
    ///
    /// 1. Scalar Malleability
    ///
    /// The authors of the RFC explicitly stated that verification of an ed25519
    /// signature must fail if the scalar `s` is not properly reduced mod \ell:
    ///
    /// > To verify a signature on a message M using public key A, with F
    /// > being 0 for Ed25519ctx, 1 for Ed25519ph, and if Ed25519ctx or
    /// > Ed25519ph is being used, C being the context, first split the
    /// > signature into two 32-octet halves.  Decode the first half as a
    /// > point R, and the second half as an integer S, in the range
    /// > 0 <= s < L.  Decode the public key A as point A'.  If any of the
    /// > decodings fail (including S being out of range), the signature is
    /// > invalid.)
    ///
    /// All `verify_*()` functions within ed25519-dalek perform this check.
    ///
    /// 2. Point malleability
    ///
    /// The authors of the RFC added in a malleability check to step #3 in
    /// §5.1.7, for small torsion components in the `R` value of the signature,
    /// *which is not strictly required*, as they state:
    ///
    /// > Check the group equation \[8\]\[S\]B = \[8\]R + \[8\]\[k\]A'.  It's
    /// > sufficient, but not required, to instead check \[S\]B = R + \[k\]A'.
    ///
    /// # History of Malleability Checks
    ///
    /// As originally defined (cf. the "Malleability" section in the README of
    /// this repo), ed25519 signatures didn't consider *any* form of
    /// malleability to be an issue.  Later the scalar malleability was
    /// considered important.  Still later, particularly with interests in
    /// cryptocurrency design and in unique identities (e.g. for Signal users,
    /// Tor onion services, etc.), the group element malleability became a
    /// concern.
    ///
    /// However, libraries had already been created to conform to the original
    /// definition.  One well-used library in particular even implemented the
    /// group element malleability check, *but only for batch verification*!
    /// Which meant that even using the same library, a single signature could
    /// verify fine individually, but suddenly, when verifying it with a bunch
    /// of other signatures, the whole batch would fail!
    ///
    /// # "Strict" Verification
    ///
    /// This method performs *both* of the above signature malleability checks.
    ///
    /// It must be done as a separate method because one doesn't simply get to
    /// change the definition of a cryptographic primitive ten years
    /// after-the-fact with zero consideration for backwards compatibility in
    /// hardware and protocols which have it already have the older definition
    /// baked in.
    ///
    /// # Return
    ///
    /// Returns `Ok(())` if the signature is valid, and `Err` otherwise.
    #[allow(non_snake_case)]
    pub fn verify_strict(
        &self,
        message: &[u8],
        signature: &Signature,
    ) -> Result<(), SignatureError> {
        self.verifying_key.verify_strict(message, signature)
    }

    /// Constructs stream verifier with candidate `signature`.
    ///
    /// See [`VerifyingKey::verify_stream()`] for more details.
    #[cfg(feature = "hazmat")]
    pub fn verify_stream(
        &self,
        signature: &ed25519::Signature,
    ) -> Result<StreamVerifier, SignatureError> {
        self.verifying_key.verify_stream(signature)
    }

    /// Convert this signing key into a byte representation of an unreduced, unclamped Curve25519
    /// scalar. This is NOT the same thing as `self.to_scalar().to_bytes()`, since `to_scalar()`
    /// performs a clamping step, which changes the value of the resulting scalar.
    ///
    /// This can be used for performing X25519 Diffie-Hellman using Ed25519 keys. The bytes output
    /// by this function are a valid corresponding [`StaticSecret`](https://docs.rs/x25519-dalek/2.0.0/x25519_dalek/struct.StaticSecret.html#impl-From%3C%5Bu8;+32%5D%3E-for-StaticSecret)
    /// for the X25519 public key given by `self.verifying_key().to_montgomery()`.
    ///
    /// # Note
    ///
    /// We do NOT recommend using a signing/verifying key for encryption. Signing keys are usually
    /// long-term keys, while keys used for key exchange should rather be ephemeral. If you can
    /// help it, use a separate key for encryption.
    ///
    /// For more information on the security of systems which use the same keys for both signing
    /// and Diffie-Hellman, see the paper
    /// [On using the same key pair for Ed25519 and an X25519 based KEM](https://eprint.iacr.org/2021/509).
    pub fn to_scalar_bytes(&self) -> [u8; 32] {
        // Per the spec, the ed25519 secret key sk is expanded to
        //     (scalar_bytes, hash_prefix) = SHA-512(sk)
        // where the two outputs are both 32 bytes. scalar_bytes is what we return. Its clamped and
        // reduced form is what we use for signing (see impl ExpandedSecretKey)
        let mut buf = [0u8; 32];
        let scalar_and_hash_prefix = Sha512::default().chain_update(self.secret_key).finalize();
        buf.copy_from_slice(&scalar_and_hash_prefix[..32]);
        buf
    }

    /// Convert this signing key into a Curve25519 scalar. This is computed by clamping and
    /// reducing the output of [`Self::to_scalar_bytes`].
    ///
    /// This can be used anywhere where a Curve25519 scalar is used as a private key, e.g., in
    /// [`crypto_box`](https://docs.rs/crypto_box/0.9.1/crypto_box/struct.SecretKey.html#impl-From%3CScalar%3E-for-SecretKey).
    ///
    /// # Note
    ///
    /// We do NOT recommend using a signing/verifying key for encryption. Signing keys are usually
    /// long-term keys, while keys used for key exchange should rather be ephemeral. If you can
    /// help it, use a separate key for encryption.
    ///
    /// For more information on the security of systems which use the same keys for both signing
    /// and Diffie-Hellman, see the paper
    /// [On using the same key pair for Ed25519 and an X25519 based KEM](https://eprint.iacr.org/2021/509).
    pub fn to_scalar(&self) -> Scalar {
        // Per the spec, the ed25519 secret key sk is expanded to
        //     (scalar_bytes, hash_prefix) = SHA-512(sk)
        // where the two outputs are both 32 bytes. To use for signing, scalar_bytes must be
        // clamped and reduced (see ExpandedSecretKey::from_bytes). We return the clamped and
        // reduced form.
        ExpandedSecretKey::from(&self.secret_key).scalar
    }
}

impl AsRef<VerifyingKey> for SigningKey {
    fn as_ref(&self) -> &VerifyingKey {
        &self.verifying_key
    }
}

impl Debug for SigningKey {
    fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
        f.debug_struct("SigningKey")
            .field("verifying_key", &self.verifying_key)
            .finish_non_exhaustive() // avoids printing `secret_key`
    }
}

impl KeypairRef for SigningKey {
    type VerifyingKey = VerifyingKey;
}

impl Signer<Signature> for SigningKey {
    /// Sign a message with this signing key's secret key.
    fn try_sign(&self, message: &[u8]) -> Result<Signature, SignatureError> {
        self.try_multipart_sign(&[message])
    }
}

impl MultipartSigner<Signature> for SigningKey {
    fn try_multipart_sign(&self, message: &[&[u8]]) -> Result<Signature, SignatureError> {
        let expanded: ExpandedSecretKey = (&self.secret_key).into();
        Ok(expanded.raw_sign::<Sha512>(message, &self.verifying_key))
    }
}

/// Equivalent to [`SigningKey::sign_prehashed`] with `context` set to [`None`].
///
/// # Note
///
/// The RFC only permits SHA-512 to be used for prehashing. This function technically works, and is
/// probably safe to use, with any secure hash function with 512-bit digests, but anything outside
/// of SHA-512 is NOT specification-compliant. We expose [`crate::Sha512`] for user convenience.
#[cfg(feature = "digest")]
impl<D> DigestSigner<D, Signature> for SigningKey
where
    D: Digest<OutputSize = U64>,
{
    fn try_sign_digest(&self, msg_digest: D) -> Result<Signature, SignatureError> {
        self.sign_prehashed(msg_digest, None)
    }
}

/// Equivalent to [`SigningKey::sign_prehashed`] with `context` set to [`Some`]
/// containing `self.value()`.
///
/// # Note
///
/// The RFC only permits SHA-512 to be used for prehashing. This function technically works, and is
/// probably safe to use, with any secure hash function with 512-bit digests, but anything outside
/// of SHA-512 is NOT specification-compliant. We expose [`crate::Sha512`] for user convenience.
#[cfg(feature = "digest")]
impl<D> DigestSigner<D, Signature> for Context<'_, '_, SigningKey>
where
    D: Digest<OutputSize = U64>,
{
    fn try_sign_digest(&self, msg_digest: D) -> Result<Signature, SignatureError> {
        self.key().sign_prehashed(msg_digest, Some(self.value()))
    }
}

impl Verifier<Signature> for SigningKey {
    /// Verify a signature on a message with this signing key's public key.
    fn verify(&self, message: &[u8], signature: &Signature) -> Result<(), SignatureError> {
        self.verifying_key.verify(message, signature)
    }
}

impl MultipartVerifier<Signature> for SigningKey {
    fn multipart_verify(
        &self,
        message: &[&[u8]],
        signature: &Signature,
    ) -> Result<(), SignatureError> {
        self.verifying_key.multipart_verify(message, signature)
    }
}

impl From<SecretKey> for SigningKey {
    #[inline]
    fn from(secret: SecretKey) -> Self {
        Self::from_bytes(&secret)
    }
}

impl From<&SecretKey> for SigningKey {
    #[inline]
    fn from(secret: &SecretKey) -> Self {
        Self::from_bytes(secret)
    }
}

impl TryFrom<&[u8]> for SigningKey {
    type Error = SignatureError;

    fn try_from(bytes: &[u8]) -> Result<SigningKey, SignatureError> {
        SecretKey::try_from(bytes)
            .map(|bytes| Self::from_bytes(&bytes))
            .map_err(|_| {
                InternalError::BytesLength {
                    name: "SecretKey",
                    length: SECRET_KEY_LENGTH,
                }
                .into()
            })
    }
}

impl ConstantTimeEq for SigningKey {
    fn ct_eq(&self, other: &Self) -> Choice {
        self.secret_key.ct_eq(&other.secret_key)
    }
}

impl PartialEq for SigningKey {
    fn eq(&self, other: &Self) -> bool {
        self.ct_eq(other).into()
    }
}

impl Eq for SigningKey {}

#[cfg(feature = "zeroize")]
impl Drop for SigningKey {
    fn drop(&mut self) {
        self.secret_key.zeroize();
    }
}

#[cfg(feature = "zeroize")]
impl ZeroizeOnDrop for SigningKey {}

#[cfg(all(feature = "alloc", feature = "pkcs8"))]
impl pkcs8::EncodePrivateKey for SigningKey {
    fn to_pkcs8_der(&self) -> pkcs8::Result<pkcs8::SecretDocument> {
        pkcs8::KeypairBytes::from(self).to_pkcs8_der()
    }
}

#[cfg(feature = "pkcs8")]
impl TryFrom<pkcs8::KeypairBytes> for SigningKey {
    type Error = pkcs8::Error;

    fn try_from(pkcs8_key: pkcs8::KeypairBytes) -> pkcs8::Result<Self> {
        SigningKey::try_from(&pkcs8_key)
    }
}

#[cfg(feature = "pkcs8")]
impl TryFrom<&pkcs8::KeypairBytes> for SigningKey {
    type Error = pkcs8::Error;

    fn try_from(pkcs8_key: &pkcs8::KeypairBytes) -> pkcs8::Result<Self> {
        let signing_key = SigningKey::from_bytes(&pkcs8_key.secret_key);

        // Validate the public key in the PKCS#8 document if present
        if let Some(public_bytes) = &pkcs8_key.public_key {
            let expected_verifying_key = VerifyingKey::from_bytes(public_bytes.as_ref())
                .map_err(|_| pkcs8::Error::KeyMalformed)?;

            if signing_key.verifying_key() != expected_verifying_key {
                return Err(pkcs8::Error::KeyMalformed);
            }
        }

        Ok(signing_key)
    }
}

#[cfg(feature = "pkcs8")]
impl pkcs8::spki::SignatureAlgorithmIdentifier for SigningKey {
    type Params = pkcs8::spki::der::AnyRef<'static>;

    const SIGNATURE_ALGORITHM_IDENTIFIER: pkcs8::spki::AlgorithmIdentifier<Self::Params> =
        <Signature as pkcs8::spki::AssociatedAlgorithmIdentifier>::ALGORITHM_IDENTIFIER;
}

#[cfg(feature = "pkcs8")]
impl From<SigningKey> for pkcs8::KeypairBytes {
    fn from(signing_key: SigningKey) -> pkcs8::KeypairBytes {
        pkcs8::KeypairBytes::from(&signing_key)
    }
}

#[cfg(feature = "pkcs8")]
impl From<&SigningKey> for pkcs8::KeypairBytes {
    fn from(signing_key: &SigningKey) -> pkcs8::KeypairBytes {
        pkcs8::KeypairBytes {
            secret_key: signing_key.to_bytes(),
            public_key: Some(pkcs8::PublicKeyBytes(signing_key.verifying_key.to_bytes())),
        }
    }
}

#[cfg(feature = "pkcs8")]
impl TryFrom<pkcs8::PrivateKeyInfoRef<'_>> for SigningKey {
    type Error = pkcs8::Error;

    fn try_from(private_key: pkcs8::PrivateKeyInfoRef<'_>) -> pkcs8::Result<Self> {
        pkcs8::KeypairBytes::try_from(private_key)?.try_into()
    }
}

#[cfg(feature = "serde")]
impl Serialize for SigningKey {
    fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
    {
        serializer.serialize_bytes(&self.secret_key)
    }
}

#[cfg(feature = "serde")]
impl<'d> Deserialize<'d> for SigningKey {
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: Deserializer<'d>,
    {
        struct SigningKeyVisitor;

        impl<'de> serde::de::Visitor<'de> for SigningKeyVisitor {
            type Value = SigningKey;

            fn expecting(&self, formatter: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
                write!(formatter, concat!("An ed25519 signing (private) key"))
            }

            fn visit_bytes<E: serde::de::Error>(self, bytes: &[u8]) -> Result<Self::Value, E> {
                SigningKey::try_from(bytes).map_err(E::custom)
            }

            fn visit_seq<A>(self, mut seq: A) -> Result<Self::Value, A::Error>
            where
                A: serde::de::SeqAccess<'de>,
            {
                let mut bytes = [0u8; 32];
                #[allow(clippy::needless_range_loop)]
                for i in 0..32 {
                    bytes[i] = seq
                        .next_element()?
                        .ok_or_else(|| serde::de::Error::invalid_length(i, &"expected 32 bytes"))?;
                }

                let remaining = (0..)
                    .map(|_| seq.next_element::<u8>())
                    .take_while(|el| matches!(el, Ok(Some(_))))
                    .count();

                if remaining > 0 {
                    return Err(serde::de::Error::invalid_length(
                        32 + remaining,
                        &"expected 32 bytes",
                    ));
                }

                Ok(SigningKey::from(bytes))
            }
        }

        deserializer.deserialize_bytes(SigningKeyVisitor)
    }
}

/// The spec-compliant way to define an expanded secret key. This computes `SHA512(sk)`, clamps the
/// first 32 bytes and uses it as a scalar, and uses the second 32 bytes as a domain separator for
/// hashing.
impl From<&SecretKey> for ExpandedSecretKey {
    #[allow(clippy::unwrap_used)]
    fn from(secret_key: &SecretKey) -> ExpandedSecretKey {
        let hash = Sha512::default().chain_update(secret_key).finalize();
        ExpandedSecretKey::from_bytes(hash.as_ref())
    }
}

//
// Signing functions. These are pub(crate) so that the `hazmat` module can use them
//

impl ExpandedSecretKey {
    /// The plain, non-prehashed, signing function for Ed25519. `CtxDigest` is the digest used to
    /// calculate the pseudorandomness needed for signing. According to the spec, `CtxDigest =
    /// Sha512`, and `self` is derived via the method defined in `impl From<&SigningKey> for
    /// ExpandedSecretKey`.
    ///
    /// This definition is loose in its parameters so that end-users of the `hazmat` module can
    /// change how the `ExpandedSecretKey` is calculated and which hash function to use.
    #[allow(non_snake_case)]
    #[allow(clippy::unwrap_used)]
    #[inline(always)]
    pub(crate) fn raw_sign<CtxDigest>(
        &self,
        message: &[&[u8]],
        verifying_key: &VerifyingKey,
    ) -> Signature
    where
        CtxDigest: Digest<OutputSize = U64>,
    {
        // OK unwrap, update can't fail.
        self.raw_sign_byupdate(
            |h: &mut CtxDigest| {
                message.iter().for_each(|slice| h.update(slice));
                Ok(())
            },
            verifying_key,
        )
        .unwrap()
    }

    /// Sign a message provided in parts. The `msg_update` closure will be called twice to hash the
    /// message parts. This closure MUST leave its hasher in the same state (i.e., must hash the
    /// same values) after both calls. Otherwise it will produce an invalid signature.
    #[allow(non_snake_case)]
    #[inline(always)]
    pub(crate) fn raw_sign_byupdate<CtxDigest, F>(
        &self,
        msg_update: F,
        verifying_key: &VerifyingKey,
    ) -> Result<Signature, SignatureError>
    where
        CtxDigest: Digest<OutputSize = U64>,
        F: Fn(&mut CtxDigest) -> Result<(), SignatureError>,
    {
        let mut h = CtxDigest::new();

        h.update(self.hash_prefix);
        msg_update(&mut h)?;

        let r = Scalar::from_hash(h);
        let R: CompressedEdwardsY = EdwardsPoint::mul_base(&r).compress();

        h = CtxDigest::new();
        h.update(R.as_bytes());
        h.update(verifying_key.as_bytes());
        msg_update(&mut h)?;

        let k = Scalar::from_hash(h);
        let s: Scalar = (k * self.scalar) + r;

        Ok(InternalSignature { R, s }.into())
    }

    /// The prehashed signing function for Ed25519 (i.e., Ed25519ph). `CtxDigest` is the digest
    /// function used to calculate the pseudorandomness needed for signing. `MsgDigest` is the
    /// digest function used to hash the signed message. According to the spec, `MsgDigest =
    /// CtxDigest = Sha512`, and `self` is derived via the method defined in `impl
    /// From<&SigningKey> for ExpandedSecretKey`.
    ///
    /// This definition is loose in its parameters so that end-users of the `hazmat` module can
    /// change how the `ExpandedSecretKey` is calculated and which `CtxDigest` function to use.
    #[cfg(feature = "digest")]
    #[allow(non_snake_case)]
    #[inline(always)]
    pub(crate) fn raw_sign_prehashed<CtxDigest, MsgDigest>(
        &self,
        prehashed_message: MsgDigest,
        verifying_key: &VerifyingKey,
        context: Option<&[u8]>,
    ) -> Result<Signature, SignatureError>
    where
        CtxDigest: Digest<OutputSize = U64>,
        MsgDigest: Digest<OutputSize = U64>,
    {
        let mut prehash: [u8; 64] = [0u8; 64];

        let ctx: &[u8] = context.unwrap_or(b""); // By default, the context is an empty string.

        if ctx.len() > 255 {
            return Err(SignatureError::from(InternalError::PrehashedContextLength));
        }

        let ctx_len: u8 = ctx.len() as u8;

        // Get the result of the pre-hashed message.
        prehash.copy_from_slice(prehashed_message.finalize().as_slice());

        // This is the dumbest, ten-years-late, non-admission of fucking up the
        // domain separation I have ever seen.  Why am I still required to put
        // the upper half "prefix" of the hashed "secret key" in here?  Why
        // can't the user just supply their own nonce and decide for themselves
        // whether or not they want a deterministic signature scheme?  Why does
        // the message go into what's ostensibly the signature domain separation
        // hash?  Why wasn't there always a way to provide a context string?
        //
        // ...
        //
        // This is a really fucking stupid bandaid, and the damned scheme is
        // still bleeding from malleability, for fuck's sake.
        let mut h = CtxDigest::new()
            .chain_update(b"SigEd25519 no Ed25519 collisions")
            .chain_update([1]) // Ed25519ph
            .chain_update([ctx_len])
            .chain_update(ctx)
            .chain_update(self.hash_prefix)
            .chain_update(&prehash[..]);

        let r = Scalar::from_hash(h);
        let R: CompressedEdwardsY = EdwardsPoint::mul_base(&r).compress();

        h = CtxDigest::new()
            .chain_update(b"SigEd25519 no Ed25519 collisions")
            .chain_update([1]) // Ed25519ph
            .chain_update([ctx_len])
            .chain_update(ctx)
            .chain_update(R.as_bytes())
            .chain_update(verifying_key.as_bytes())
            .chain_update(&prehash[..]);

        let k = Scalar::from_hash(h);
        let s: Scalar = (k * self.scalar) + r;

        Ok(InternalSignature { R, s }.into())
    }
}