Initial commit

bls12_377/src/fields/fq.rs

@@ -0,0 +1,114 @@
+use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
+
+pub type Fq = Fp384<FqParameters>;
+
+pub struct FqParameters;
+
+impl Fp384Parameters for FqParameters {}
+impl FftParameters for FqParameters {
+    type BigInt = BigInteger;
+
+    const TWO_ADICITY: u32 = 46u32;
+
+    #[rustfmt::skip]
+    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
+        2022196864061697551u64,
+        17419102863309525423u64,
+        8564289679875062096u64,
+        17152078065055548215u64,
+        17966377291017729567u64,
+        68610905582439508u64,
+    ]);
+}
+impl FpParameters for FqParameters {
+    /// MODULUS = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
+    #[rustfmt::skip]
+    const MODULUS: BigInteger = BigInteger([
+        0x8508c00000000001,
+        0x170b5d4430000000,
+        0x1ef3622fba094800,
+        0x1a22d9f300f5138f,
+        0xc63b05c06ca1493b,
+        0x1ae3a4617c510ea,
+    ]);
+
+    const MODULUS_BITS: u32 = 377;
+
+    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
+
+    const REPR_SHAVE_BITS: u32 = 7;
+
+    #[rustfmt::skip]
+    const R: BigInteger = BigInteger([
+        202099033278250856u64,
+        5854854902718660529u64,
+        11492539364873682930u64,
+        8885205928937022213u64,
+        5545221690922665192u64,
+        39800542322357402u64,
+    ]);
+
+    #[rustfmt::skip]
+    const R2: BigInteger = BigInteger([
+        0xb786686c9400cd22,
+        0x329fcaab00431b1,
+        0x22a5f11162d6b46d,
+        0xbfdf7d03827dc3ac,
+        0x837e92f041790bf9,
+        0x6dfccb1e914b88,
+    ]);
+
+    const INV: u64 = 9586122913090633727u64;
+
+    // GENERATOR = -5
+    #[rustfmt::skip]
+    const GENERATOR: BigInteger = BigInteger([
+        0xfc0b8000000002fa,
+        0x97d39cf6e000018b,
+        0x2072420fbfa05044,
+        0xcbbcbd50d97c3802,
+        0xbaf1ec35813f9eb,
+        0x9974a2c0945ad2,
+    ]);
+
+    #[rustfmt::skip]
+    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0x4284600000000000,
+        0xb85aea218000000,
+        0x8f79b117dd04a400,
+        0x8d116cf9807a89c7,
+        0x631d82e03650a49d,
+        0xd71d230be28875,
+    ]);
+
+    // T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
+
+    // T = (MODULUS - 1) // 2^S =
+    // 3675842578061421676390135839012792950148785745837396071634149488243117337281387659330802195819009059
+    #[rustfmt::skip]
+    const T: BigInteger = BigInteger([
+        0x7510c00000021423,
+        0x88bee82520005c2d,
+        0x67cc03d44e3c7bcd,
+        0x1701b28524ec688b,
+        0xe9185f1443ab18ec,
+        0x6b8,
+    ]);
+
+    // (T - 1) // 2 =
+    // 1837921289030710838195067919506396475074392872918698035817074744121558668640693829665401097909504529
+    #[rustfmt::skip]
+    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0xba88600000010a11,
+        0xc45f741290002e16,
+        0xb3e601ea271e3de6,
+        0xb80d94292763445,
+        0x748c2f8a21d58c76,
+        0x35c,
+    ]);
+}
+
+#[allow(dead_code)]
+pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
+#[allow(dead_code)]
+pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0]));