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use generic_array::GenericArray; | ||
use num::{BigUint, Num, Zero}; | ||
use serde::{Deserialize, Serialize}; | ||
use typenum::{U32, U62}; | ||
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use super::{FieldType, FpOpField, SwCurve, WeierstrassParameters}; | ||
use crate::{ | ||
params::{FieldParameters, NumLimbs}, | ||
CurveType, EllipticCurveParameters, | ||
}; | ||
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#[derive(Debug, Clone, Copy, PartialEq, Serialize, Deserialize)] | ||
/// Grumpkin curve parameter | ||
pub struct GrumpkinParameters; | ||
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pub type Grumpkin = SwCurve<GrumpkinParameters>; | ||
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#[derive(Debug, Default, Clone, Copy, PartialEq, Serialize, Deserialize)] | ||
/// Grumpkin base field parameter | ||
pub struct GrumpkinBaseField; | ||
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impl FieldParameters for GrumpkinBaseField { | ||
// python: | ||
// fp = 21888242871839275222246405745257275088548364400416034343698204186575808495617 | ||
// list(int.to_bytes(fp, length=32, byteorder='little')) | ||
const MODULUS: &'static [u8] = &[ | ||
1, 0, 0, 240, 147, 245, 225, 67, 145, 112, 185, 121, 72, 232, 51, 40, 93, 88, 129, 129, | ||
182, 69, 80, 184, 41, 160, 49, 225, 114, 78, 100, 48, | ||
]; | ||
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// A rough witness-offset estimate given the size of the limbs and the size of the field. | ||
const WITNESS_OFFSET: usize = 1usize << 14; | ||
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// Grumpkin::Fp is Bn254::Fr | ||
fn modulus() -> BigUint { | ||
BigUint::from_str_radix( | ||
"21888242871839275222246405745257275088548364400416034343698204186575808495617", | ||
10, | ||
) | ||
.unwrap() | ||
} | ||
} | ||
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impl FpOpField for GrumpkinBaseField { | ||
const FIELD_TYPE: FieldType = FieldType::Grumpkin; | ||
} | ||
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impl NumLimbs for GrumpkinBaseField { | ||
type Limbs = U32; | ||
type Witness = U62; | ||
} | ||
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impl EllipticCurveParameters for GrumpkinParameters { | ||
type BaseField = GrumpkinBaseField; | ||
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const CURVE_TYPE: CurveType = CurveType::Grumpkin; | ||
} | ||
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// https://github.com/lambdaclass/lambdaworks/blob/main/math/src/elliptic_curve/short_weierstrass/curves/grumpkin/curve.rs | ||
impl WeierstrassParameters for GrumpkinParameters { | ||
const A: GenericArray<u8, U32> = GenericArray::from_array([ | ||
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
0, 0, | ||
]); | ||
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// -17 | ||
// b = fp - 17 | ||
// list(int.to_bytes(b, length=32, byteorder='little')) | ||
const B: GenericArray<u8, U32> = GenericArray::from_array([ | ||
240, 255, 255, 239, 147, 245, 225, 67, 145, 112, 185, 121, 72, 232, 51, 40, 93, 88, 129, | ||
129, 182, 69, 80, 184, 41, 160, 49, 225, 114, 78, 100, 48, | ||
]); | ||
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fn generator() -> (BigUint, BigUint) { | ||
let x = BigUint::from(1u32); | ||
// sqrt(-16) | ||
let y = BigUint::from_str_radix( | ||
"17631683881184975370165255887551781615748388533673675138860", | ||
10, | ||
) | ||
.unwrap(); | ||
(x, y) | ||
} | ||
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fn prime_group_order() -> num::BigUint { | ||
BigUint::from_str_radix( | ||
"21888242871839275222246405745257275088696311157297823662689037894645226208583", | ||
10, | ||
) | ||
.unwrap() | ||
} | ||
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fn a_int() -> BigUint { | ||
BigUint::zero() | ||
} | ||
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fn b_int() -> BigUint { | ||
BigUint::from_str_radix( | ||
"21888242871839275222246405745257275088548364400416034343698204186575808495600", | ||
10, | ||
) | ||
.unwrap() | ||
} | ||
} | ||
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#[cfg(test)] | ||
mod tests { | ||
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use super::*; | ||
use crate::utils::biguint_from_limbs; | ||
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#[test] | ||
fn test_weierstrass_biguint_scalar_mul() { | ||
assert_eq!(biguint_from_limbs(GrumpkinBaseField::MODULUS), GrumpkinBaseField::modulus()); | ||
} | ||
} |