Crate curve25519_dalek[][src]


A pure-Rust implementation of group operations on Ristretto and Curve25519.

curve25519-dalek is a library providing group operations on the Edwards and Montgomery forms of Curve25519, and on the prime-order Ristretto group.

curve25519-dalek is not intended to provide implementations of any particular crypto protocol. Rather, implementations of those protocols (such as x25519-dalek and ed25519-dalek) should use curve25519-dalek as a library.

curve25519-dalek is intended to provide a clean and safe mid-level API for use implementing a wide range of ECC-based crypto protocols, such as key agreement, signatures, anonymous credentials, rangeproofs, and zero-knowledge proof systems.

In particular, curve25519-dalek implements Ristretto, which constructs a prime-order group from a non-prime-order Edwards curve. This provides the speed and safety benefits of Edwards curve arithmetic, without the pitfalls of cofactor-related abstraction mismatches.


We have recently released a 1.0.0-pre.0 version of curve25519-dalek and would greatly appreciate testing and feedback on our API and performance.


The semver-stable, public-facing curve25519-dalek API is documented here. In addition, the unstable internal implementation details are documented here.

The curve25519-dalek documentation requires a custom HTML header to include KaTeX for math support. Unfortunately cargo doc does not currently support this, but docs can be built using

make doc
make doc-internal


To import curve25519-dalek, add the following to the dependencies section of your project's Cargo.toml:

curve25519-dalek = "^0.18"

Then import the crate as:

extern crate curve25519_dalek;

Backends and Features

The nightly feature enables features available only when using a Rust nightly compiler. It is recommended for security.

Curve arithmetic is implemented using one of the following backends:

By default the u64 backend is selected. To select a specific backend, use:

cargo build --no-default-features --features "std u32_backend"
cargo build --no-default-features --features "std u64_backend"
# Requires RUSTFLAGS="-C target_feature=+avx2"
cargo build --no-default-features --features "std avx2_backend"

Crates using curve25519-dalek can either select a backend on behalf of their users, or expose feature flags that control the curve25519-dalek backend.

The std feature is enabled by default, but it can be disabled for no-std builds using --no-default-features. Note that this requires explicitly selecting an arithmetic backend using one of the _backend features. If no backend is selected, compilation will fail.

The yolocrypto feature enables experimental features. The name yolocrypto is meant to indicate that it is not considered production-ready, and we do not consider yolocrypto features to be covered by semver guarantees. This is designed to make it easier to test intended new features without having to stabilise them first. Use yolocrypto at your own, obvious, risk.


The curve25519-dalek types are designed to make illegal states unrepresentable. For example, any instance of an EdwardsPoint is guaranteed to hold a point on the Edwards curve, and any instance of a RistrettoPoint is guaranteed to hold a valid point in the Ristretto group.

All operations are implemented using constant-time logic (no secret-dependent branches, no secret-dependent memory accesses), unless specifically marked as being variable-time code. We believe that our constant-time logic is lowered to constant-time assembly, at least on x86_64 targets.

As an additional guard against possible future compiler optimizations, the nightly feature places an optimization barrier before every conditional move or assignment. More details can be found in the documentation for the subtle crate. This is recommended, but not required.

Some functionality (e.g., multiscalar multiplication or batch inversion) requires heap allocation for temporary buffers. All heap-allocated buffers of potentially secret data are explicitly zeroed before release.

However, we do not attempt to zero stack data, for two reasons. First, it's not possible to do so correctly: we don't have control over stack allocations, so there's no way to know how much data to wipe. Second, because curve25519-dalek provides a mid-level API, the correct place to start zeroing stack data is likely not at the entrypoints of curve25519-dalek functions, but at the entrypoints of functions in other crates.

The implementation is memory-safe, and contains no significant unsafe code. The AVX2 backend uses unsafe internally to call AVX2 intrinsics. These are marked unsafe because invoking them on a non-AVX2 target would cause SIGILL, but the entire backend is only compiled for target_feature=+avx2. Some types implement an unsafe trait to mark them as zeroable (for heap allocations), but this does not affect memory safety.


Benchmarks are run using

# You must set RUSTFLAGS to enable AVX2 support.
export RUSTFLAGS="-C target_cpu=native"
cargo bench --no-default-features --features "std u32_backend"
cargo bench --no-default-features --features "std u64_backend"
cargo bench --no-default-features --features "std avx2_backend"

Performance is a secondary goal behind correctness, safety, and clarity, but we aim to be competitive with other implementations.


Please see

Patches and pull requests should be make against the develop branch, not master.


SPOILER ALERT: The Twelfth Doctor's first encounter with the Daleks is in his second full episode, "Into the Dalek". A beleaguered ship of the "Combined Galactic Resistance" has discovered a broken Dalek that has turned "good", desiring to kill all other Daleks. The Doctor, Clara and a team of soldiers are miniaturized and enter the Dalek, which the Doctor names Rusty. They repair the damage, but accidentally restore it to its original nature, causing it to go on the rampage and alert the Dalek fleet to the whereabouts of the rebel ship. However, the Doctor manages to return Rusty to its previous state by linking his mind with the Dalek's: Rusty shares the Doctor's view of the universe's beauty, but also his deep hatred of the Daleks. Rusty destroys the other Daleks and departs the ship, determined to track down and bring an end to the Dalek race.

curve25519-dalek is authored by Isis Agora Lovecruft and Henry de Valence.

Portions of this library were originally a port of Adam Langley's Golang ed25519 library, which was in turn a port of the reference ref10 implementation. Most of this code, including the 32-bit field arithmetic, has since been rewritten.

The fast u32 and u64 scalar arithmetic was implemented by Andrew Moon, and the addition chain for scalar inversion was provided by Brian Smith. The optimised batch inversion was contributed by Sean Bowe and Daira Hopwood.

The no_std support was contributed by Tony Arcieri.

Thanks also to Ashley Hauck, Lucas Salibian, and Manish Goregaokar for their contributions.

Note that docs will only build on nightly Rust until RFC 1990 stabilizes.


extern crate core;
extern crate compiler_builtins;
extern crate std;
extern crate packed_simd;
extern crate rand;
extern crate clear_on_drop;
extern crate byteorder;
extern crate digest;
extern crate generic_array;
extern crate subtle;
use core::prelude::v1::*;



Pluggable implementations for different architectures.


Various constants, such as the Ristretto and Ed25519 basepoints.


Internal curve representations which are not part of the public API.


Group operations for Curve25519, in Edwards form.


Field arithmetic modulo \(p = 2^{255} - 19\).


Internal macros.


Scalar multiplication on the Montgomery form of Curve25519.


Crate-local prelude (for alloc-dependent features like Vec)


An implementation of Ristretto, which provides a prime-order group.


Arithmetic on scalars (integers mod the group order).


Implementations of various scalar multiplication algorithms.


Module for common traits.