Initial commit

2026-01-27 14:13:46 +01:00 · 2020-10-11 19:50:41 -07:00
commit 43ca2132fd
209 changed files with 18825 additions and 0 deletions
--- a/bn254/src/fields/fq2.rs
+++ b/bn254/src/fields/fq2.rs
@@ -0,0 +1,63 @@
+use super::*;
+use ark_ff::{biginteger::BigInteger256 as BigInteger, field_new, fields::*};
+
+pub type Fq2 = Fp2<Fq2Parameters>;
+
+pub struct Fq2Parameters;
+
+impl Fp2Parameters for Fq2Parameters {
+    type Fp = Fq;
+
+    /// NONRESIDUE = -1
+    #[rustfmt::skip]
+    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
+        0x68c3488912edefaa,
+        0x8d087f6872aabf4f,
+        0x51e1a24709081231,
+        0x2259d6b14729c0fa,
+    ]));
+
+    /// QUADRATIC_NONRESIDUE = U+2
+    #[rustfmt::skip]
+    const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
+        field_new!(Fq, BigInteger([
+            12014063508332092218u64,
+            1509222997478479483u64,
+            14762033076929465432u64,
+            2023505479389396574u64,
+        ])),
+        field_new!(Fq, BigInteger([
+            202099033278250856u64,
+            8885205928937022213u64,
+            5545221690922665192u64,
+            39800542322357402u64,
+        ])),
+    );
+
+    /// Coefficients for the Frobenius automorphism.
+    #[rustfmt::skip]
+    const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
+        // NONRESIDUE**(((q^0) - 1) / 2)
+        field_new!(Fq, BigInteger([
+            0xd35d438dc58f0d9d,
+            0x0a78eb28f5c70b3d,
+            0x666ea36f7879462c,
+            0xe0a77c19a07df2f,
+        ])),
+        // NONRESIDUE**(((q^1) - 1) / 2)
+        field_new!(Fq, BigInteger([
+            0x68c3488912edefaa,
+            0x8d087f6872aabf4f,
+            0x51e1a24709081231,
+            0x2259d6b14729c0fa,
+        ])),
+    ];
+
+    #[inline(always)]
+    fn mul_fp_by_nonresidue(fe: &Self::Fp) -> Self::Fp {
+        -(*fe)
+    }
+}
+
+pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
+pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);