Initial commit

bn254/src/fields/fr.rs

@@ -0,0 +1,95 @@
+use ark_ff::{biginteger::BigInteger256 as BigInteger, fields::*};
+
+pub type Fr = Fp256<FrParameters>;
+
+pub struct FrParameters;
+
+impl Fp256Parameters for FrParameters {}
+impl FftParameters for FrParameters {
+    type BigInt = BigInteger;
+
+    const TWO_ADICITY: u32 = 28;
+
+    #[rustfmt::skip]
+    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
+        7164790868263648668u64,
+        11685701338293206998u64,
+        6216421865291908056u64,
+        1756667274303109607u64,
+    ]);
+}
+impl FpParameters for FrParameters {
+    /// MODULUS = 21888242871839275222246405745257275088548364400416034343698204186575808495617
+    #[rustfmt::skip]
+    const MODULUS: BigInteger = BigInteger([
+        4891460686036598785u64,
+        2896914383306846353u64,
+        13281191951274694749u64,
+        3486998266802970665u64,
+    ]);
+
+    const MODULUS_BITS: u32 = 254;
+
+    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
+
+    const REPR_SHAVE_BITS: u32 = 2;
+
+    #[rustfmt::skip]
+    const R: BigInteger = BigInteger([
+        12436184717236109307u64,
+        3962172157175319849u64,
+        7381016538464732718u64,
+        1011752739694698287u64,
+    ]);
+
+    #[rustfmt::skip]
+    const R2: BigInteger = BigInteger([
+        1997599621687373223u64,
+        6052339484930628067u64,
+        10108755138030829701u64,
+        150537098327114917u64,
+    ]);
+
+    const INV: u64 = 14042775128853446655u64;
+
+    // GENERATOR = 5
+    #[rustfmt::skip]
+    const GENERATOR: BigInteger = BigInteger([
+        1949230679015292902u64,
+        16913946402569752895u64,
+        5177146667339417225u64,
+        1571765431670520771u64,
+    ]);
+
+    /// (r - 1)/2 =
+    /// 10944121435919637611123202872628637544274182200208017171849102093287904247808
+    #[rustfmt::skip]
+    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0xa1f0fac9f8000000,
+        0x9419f4243cdcb848,
+        0xdc2822db40c0ac2e,
+        0x183227397098d014,
+    ]);
+
+    // T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t
+
+    /// t = (r - 1) / 2^s =
+    /// 81540058820840996586704275553141814055101440848469862132140264610111
+    #[rustfmt::skip]
+    const T: BigInteger = BigInteger([
+        0x9b9709143e1f593f,
+        0x181585d2833e8487,
+        0x131a029b85045b68,
+        0x30644e72e,
+    ]);
+
+    /// (t - 1) / 2 =
+    /// 40770029410420498293352137776570907027550720424234931066070132305055
+    #[rustfmt::skip]
+    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0xcdcb848a1f0fac9f,
+        0x0c0ac2e9419f4243,
+        0x098d014dc2822db4,
+        0x183227397,
+    ]);
+}