Initial commit

bls12_377/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 = 47;
+
+    #[rustfmt::skip]
+    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
+        0x3c3d3ca739381fb2,
+        0x9a14cda3ec99772b,
+        0xd7aacc7c59724826,
+        0xd1ba211c5cc349c,
+    ]);
+}
+impl FpParameters for FrParameters {
+    /// MODULUS = 8444461749428370424248824938781546531375899335154063827935233455917409239041
+    #[rustfmt::skip]
+    const MODULUS: BigInteger = BigInteger([
+        725501752471715841u64,
+        6461107452199829505u64,
+        6968279316240510977u64,
+        1345280370688173398u64,
+    ]);
+
+    const MODULUS_BITS: u32 = 253;
+
+    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
+
+    const REPR_SHAVE_BITS: u32 = 3;
+
+    #[rustfmt::skip]
+    const R: BigInteger = BigInteger([
+        9015221291577245683u64,
+        8239323489949974514u64,
+        1646089257421115374u64,
+        958099254763297437u64,
+    ]);
+
+    #[rustfmt::skip]
+    const R2: BigInteger = BigInteger([
+        2726216793283724667u64,
+        14712177743343147295u64,
+        12091039717619697043u64,
+        81024008013859129u64,
+    ]);
+
+    const INV: u64 = 725501752471715839u64;
+
+    // GENERATOR = 11
+    #[rustfmt::skip]
+    const GENERATOR: BigInteger = BigInteger([
+        1855201571499933546u64,
+        8511318076631809892u64,
+        6222514765367795509u64,
+        1122129207579058019u64,
+    ]);
+
+    /// (r - 1)/2 =
+    /// 4222230874714185212124412469390773265687949667577031913967616727958704619520
+    #[rustfmt::skip]
+    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0x8508c00000000000,
+        0xacd53b7f68000000,
+        0x305a268f2e1bd800,
+        0x955b2af4d1652ab,
+    ]);
+
+    // T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t
+
+    /// t = (r - 1) / 2^s =
+    /// 60001509534603559531609739528203892656505753216962260608619555
+    #[rustfmt::skip]
+    const T: BigInteger = BigInteger([
+        0xedfda00000021423,
+        0x9a3cb86f6002b354,
+        0xcabd34594aacc168,
+        0x2556,
+    ]);
+
+    /// (t - 1) / 2 =
+    /// 30000754767301779765804869764101946328252876608481130304309777
+    #[rustfmt::skip]
+    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0x76fed00000010a11,
+        0x4d1e5c37b00159aa,
+        0x655e9a2ca55660b4,
+        0x12ab,
+    ]);
+}