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docs: add docs for starknet-curve
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xJonathanLEI committed Jul 26, 2024
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13 changes: 12 additions & 1 deletion starknet-curve/README.md
Original file line number Diff line number Diff line change
@@ -1 +1,12 @@
# Starknet Curve
# Starknet Curve Parameters

The `starknet-curve` crate contains a few useful parameters for the STARK curve defined as:

```
y^2 = x^3 + alpha * x + beta
```

where:

- `alpha` = `0x0000000000000000000000000000000000000000000000000000000000000001`
- `beta` = `0x06f21413efbe40de150e596d72f7a8c5609ad26c15c915c1f4cdfcb99cee9e89`
54 changes: 54 additions & 0 deletions starknet-curve/src/curve_params.rs
Original file line number Diff line number Diff line change
@@ -1,27 +1,51 @@
use starknet_types_core::curve::AffinePoint;
use starknet_types_core::felt::Felt;

/// EC order of the STARK curve for ECDSA. Equals to
/// `0x0800000000000010ffffffffffffffffb781126dcae7b2321e66a241adc64d2f`.
pub const EC_ORDER: Felt = Felt::from_raw([
369010039416812937,
9,
1143265896874747514,
8939893405601011193,
]);

/// The alpha parameter of the STARK curve. Equals to
/// `0x0000000000000000000000000000000000000000000000000000000000000001`.
///
/// The alpha parameter is used in the curve definition as:
///
/// ```
/// y^2 = x^3 + alpha * x + beta
/// ```
pub const ALPHA: Felt = Felt::from_raw([
576460752303422960,
18446744073709551615,
18446744073709551615,
18446744073709551585,
]);

/// The beta parameter of the STARK curve. Equals to
/// `0x06f21413efbe40de150e596d72f7a8c5609ad26c15c915c1f4cdfcb99cee9e89`.
///
/// The beta parameter is used in the curve definition as:
///
/// ```
/// y^2 = x^3 + alpha * x + beta
/// ```
pub const BETA: Felt = Felt::from_raw([
88155977965380735,
12360725113329547591,
7432612994240712710,
3863487492851900874,
]);

/// Generator point of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x01ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca`
/// - y: `0x005668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f`
pub const GENERATOR: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
232005955912912577,
Expand All @@ -37,6 +61,12 @@ pub const GENERATOR: AffinePoint = AffinePoint::new_unchecked(
]),
);

/// Shift point of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x049ee3eba8c1600700ee1b87eb599f16716b0b1022947733551fde4050ca6804`
/// - y: `0x03ca0cfe4b3bc6ddf346d49d06ea0ed34e621062c0e056c1d0405d266e10268a`
pub const SHIFT_POINT: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
316327189671755572,
Expand All @@ -52,6 +82,12 @@ pub const SHIFT_POINT: AffinePoint = AffinePoint::new_unchecked(
]),
);

/// The P0 constant of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x0234287dcbaffe7f969c748655fca9e58fa8120b6d56eb0c1080d17957ebe47b`
/// - y: `0x03b056f100f96fb21e889527d41f4e39940135dd7a6c94cc6ed0268ee89e5615`
pub const PEDERSEN_P0: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
241691544791834578,
Expand All @@ -67,6 +103,12 @@ pub const PEDERSEN_P0: AffinePoint = AffinePoint::new_unchecked(
]),
);

/// The P1 constant of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x04fa56f376c83db33f9dab2656558f3399099ec1de5e3018b7a6932dba8aa378`
/// - y: `0x03fa0984c931c9e38113e0c0e47e4401562761f92a7a23b45168f4e80ff5b54d`
pub const PEDERSEN_P1: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
253000153565733272,
Expand All @@ -82,6 +124,12 @@ pub const PEDERSEN_P1: AffinePoint = AffinePoint::new_unchecked(
]),
);

/// The P2 constant of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x04ba4cc166be8dec764910f75b45f74b40c690c74709e90f3aa372f0bd2d6997`
/// - y: `0x0040301cf5c1751f4b971e46c4ede85fcac5c59a5ce5ae7c48151f27b24b219c`
pub const PEDERSEN_P2: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
338510149841406402,
Expand All @@ -97,6 +145,12 @@ pub const PEDERSEN_P2: AffinePoint = AffinePoint::new_unchecked(
]),
);

/// The P3 constant of the STARK curve.
///
/// Coordinates:
///
/// - x: `0x054302dcb0e6cc1c6e44cca8f61a63bb2ca65048d53fb325d36ff12c49a58202`
/// - y: `0x01b77b3e37d13504b348046268d8ae25ce98ad783c25561a879dcc77e99c2426`
pub const PEDERSEN_P3: AffinePoint = AffinePoint::new_unchecked(
Felt::from_raw([
425493972656615276,
Expand Down
5 changes: 4 additions & 1 deletion starknet-curve/src/lib.rs
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@@ -1,4 +1,7 @@
//! A library with constant parameters for the Stark elliptic curve.

#![deny(missing_docs)]
#![no_std]
#![doc = include_str!("../README.md")]

/// Module containing the Stark elliptic curve parameters.
pub mod curve_params;

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