Initial commit

2026-01-12 00:41:32 +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/curves/mod.rs
+++ b/mnt4_753/src/curves/mod.rs
@@ -0,0 +1,90 @@
+use ark_ec::models::mnt4::{MNT4Parameters, MNT4};
+use ark_ff::{biginteger::BigInteger768, field_new, fields::FpParameters, Fp2};
+
+use crate::{Fq, Fq2, Fq2Parameters, Fq4Parameters, FqParameters, Fr, FrParameters};
+
+pub mod g1;
+pub mod g2;
+
+#[cfg(test)]
+mod tests;
+
+pub use self::{
+    g1::{G1Affine, G1Prepared, G1Projective},
+    g2::{G2Affine, G2Prepared, G2Projective},
+};
+
+pub type MNT4_753 = MNT4<Parameters>;
+
+pub struct Parameters;
+
+impl MNT4Parameters for Parameters {
+    const TWIST: Fp2<Self::Fp2Params> = field_new!(Fq2, FQ_ZERO, FQ_ONE);
+    // A coefficient of MNT4-753 G2 =
+    // ```
+    // mnt4753_twist_coeff_a = mnt4753_Fq2(mnt4753_G1::coeff_a * non_residue, mnt6753_Fq::zero());
+    //  = (A_COEFF * NONRESIDUE, ZERO)
+    //  = (26, ZERO)
+    // ```
+    #[rustfmt::skip]
+    const TWIST_COEFF_A: Fp2<Self::Fp2Params> = field_new!(Fq2,
+        G1_COEFF_A_NON_RESIDUE,
+        FQ_ZERO,
+    );
+    // https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4753.ml
+    const ATE_LOOP_COUNT: &'static [u64] = &[
+        8824542903220142080,
+        7711082599397206192,
+        8303354903384568230,
+        5874150271971943936,
+        9717849827920685054,
+        95829799234282493,
+    ];
+    const ATE_IS_LOOP_COUNT_NEG: bool = true;
+    const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger768 =
+        BigInteger768([0x1, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0]);
+    const FINAL_EXPONENT_LAST_CHUNK_W0_IS_NEG: bool = true;
+    const FINAL_EXPONENT_LAST_CHUNK_ABS_OF_W0: BigInteger768 = BigInteger768([
+        8824542903220142079,
+        7711082599397206192,
+        8303354903384568230,
+        5874150271971943936,
+        9717849827920685054,
+        95829799234282493,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+    ]);
+    type Fp = Fq;
+    type Fr = Fr;
+    type Fp2Params = Fq2Parameters;
+    type Fp4Params = Fq4Parameters;
+    type G1Parameters = self::g1::Parameters;
+    type G2Parameters = self::g2::Parameters;
+}
+
+// 26
+pub const G1_COEFF_A_NON_RESIDUE: Fq = field_new!(
+    Fq,
+    BigInteger768([
+        16948538951764659373,
+        10775354577659735631,
+        12766795894854242596,
+        8684022258823474090,
+        973489465296612807,
+        3883945490221946200,
+        16178634811223492029,
+        16155746945640075033,
+        17642042187059426365,
+        10295720303844380352,
+        13265853240981244259,
+        39422991244875,
+    ])
+);
+pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
+pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
+pub const FR_ZERO: Fr = field_new!(Fr, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
+pub const FR_ONE: Fr = field_new!(Fr, FrParameters::R);