Initial commit

bn254/src/fields/fq.rs

@@ -0,0 +1,96 @@
+use ark_ff::{biginteger::BigInteger256 as BigInteger, field_new, fields::*};
+
+pub type Fq = Fp256<FqParameters>;
+
+pub struct FqParameters;
+
+impl Fp256Parameters for FqParameters {}
+impl FftParameters for FqParameters {
+    type BigInt = BigInteger;
+
+    const TWO_ADICITY: u32 = 1;
+
+    #[rustfmt::skip]
+    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
+        0x68c3488912edefaa,
+        0x8d087f6872aabf4f,
+        0x51e1a24709081231,
+        0x2259d6b14729c0fa,
+    ]);
+}
+impl FpParameters for FqParameters {
+    /// MODULUS = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
+    #[rustfmt::skip]
+    const MODULUS: BigInteger = BigInteger([
+        0x3c208c16d87cfd47,
+        0x97816a916871ca8d,
+        0xb85045b68181585d,
+        0x30644e72e131a029,
+    ]);
+
+    const MODULUS_BITS: u32 = 254;
+
+    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
+
+    const REPR_SHAVE_BITS: u32 = 2;
+
+    #[rustfmt::skip]
+    const R: BigInteger = BigInteger([
+        0xd35d438dc58f0d9d,
+        0x0a78eb28f5c70b3d,
+        0x666ea36f7879462c,
+        0xe0a77c19a07df2f,
+    ]);
+
+    #[rustfmt::skip]
+    const R2: BigInteger = BigInteger([
+        0xf32cfc5b538afa89,
+        0xb5e71911d44501fb,
+        0x47ab1eff0a417ff6,
+        0x6d89f71cab8351f,
+    ]);
+
+    const INV: u64 = 9786893198990664585u64;
+
+    // GENERATOR = 3
+    #[rustfmt::skip]
+    const GENERATOR: BigInteger = BigInteger([
+        0x7a17caa950ad28d7,
+        0x1f6ac17ae15521b9,
+        0x334bea4e696bd284,
+        0x2a1f6744ce179d8e,
+    ]);
+
+    #[rustfmt::skip]
+    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0x9e10460b6c3e7ea3,
+        0xcbc0b548b438e546,
+        0xdc2822db40c0ac2e,
+        0x183227397098d014,
+    ]);
+
+    // T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
+
+    // T = (MODULUS - 1) // 2^S =
+    // 10944121435919637611123202872628637544348155578648911831344518947322613104291
+    #[rustfmt::skip]
+    const T: BigInteger = BigInteger([
+        0x9e10460b6c3e7ea3,
+        0xcbc0b548b438e546,
+        0xdc2822db40c0ac2e,
+        0x183227397098d014,
+    ]);
+
+    // (T - 1) // 2 =
+    // 1837921289030710838195067919506396475074392872918698035817074744121558668640693829665401097909504529
+    #[rustfmt::skip]
+    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0x4f082305b61f3f51,
+        0x65e05aa45a1c72a3,
+        0x6e14116da0605617,
+        0xc19139cb84c680a,
+    ]);
+}
+
+pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
+pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0]));