Initial commit

2026-01-11 16:31:36 +01:00 · 2020-10-11 19:50:41 -07:00
commit 43ca2132fd
209 changed files with 18825 additions and 0 deletions
--- a/mnt4_753/src/fields/fq2.rs
+++ b/mnt4_753/src/fields/fq2.rs
@@ -0,0 +1,77 @@
+use crate::{Fq, FQ_ONE};
+use ark_ff::{
+    biginteger::BigInteger768 as BigInteger,
+    field_new,
+    fields::fp2::{Fp2, Fp2Parameters},
+};
+
+pub type Fq2 = Fp2<Fq2Parameters>;
+
+pub struct Fq2Parameters;
+
+impl Fp2Parameters for Fq2Parameters {
+    type Fp = Fq;
+
+    // non_residue = 13
+    #[rustfmt::skip]
+    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
+            11881297496860141143,
+            13588356353764843511,
+            9969398190777826186,
+            17325157081734070311,
+            16341533986183788031,
+            8322434028726676858,
+            13631157743146294957,
+            8365783422740577875,
+            3010239015809771096,
+            11776256826687733591,
+            7214251687253691272,
+            268626707558702
+    ]));
+
+    // qnr = (8, 1)
+    const QUADRATIC_NONRESIDUE: (Self::Fp, Self::Fp) = (
+        field_new!(
+            Fq,
+            BigInteger([
+                587330122779359758,
+                14352661462510473462,
+                17802452401246596498,
+                18018663494943049411,
+                17948754733747257098,
+                10253180574146027531,
+                6683223122694781837,
+                13573468617269213174,
+                5059368039312883748,
+                950479668716233863,
+                9936591501985804621,
+                88719447132658
+            ])
+        ),
+        FQ_ONE,
+    );
+
+    // Coefficients:
+    // [1, 41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600]
+    // see https://github.com/o1-labs/snarky/blob/2cf5ef3a14989e57c17518832b3c52590068fc48/src/camlsnark_c/libsnark-caml/depends/libff/libff/algebra/curves/mnt753/mnt4753/mnt4753_init.cpp
+    const FROBENIUS_COEFF_FP2_C1: &'static [Self::Fp] = &[
+        FQ_ONE,
+        field_new!(
+            Fq,
+            BigInteger([
+                14260497802974073023,
+                5895249896161266456,
+                14682908860938702530,
+                17222385991615618722,
+                14621060510943733448,
+                10594887362868996148,
+                7477357615964975684,
+                12570239403004322603,
+                2180620924574446161,
+                12129628062772479841,
+                8853285699251153944,
+                362282887012814
+            ])
+        ),
+    ];
+}