Initial commit

mnt6_753/src/fields/fq.rs

@@ -0,0 +1 @@
+pub use ark_mnt4_753::{Fr as Fq, FrParameters as FqParameters};

mnt6_753/src/fields/fq3.rs

@@ -0,0 +1,137 @@
+use crate::{fq::Fq, FQ_ONE};
+use ark_ff::{
+    biginteger::BigInteger768 as BigInteger,
+    field_new,
+    fields::fp3::{Fp3, Fp3Parameters},
+};
+
+pub type Fq3 = Fp3<Fq3Parameters>;
+
+pub struct Fq3Parameters;
+
+impl Fp3Parameters for Fq3Parameters {
+    type Fp = Fq;
+
+    #[rustfmt::skip]
+    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
+        5145524327033718740,
+        14149824967095184544,
+        5159730833497260295,
+        3902941467692815387,
+        15830098551216085679,
+        8665641533746801158,
+        17502192300007146323,
+        14483698255198590748,
+        546300946688995976,
+        4331975528992054828,
+        5311428878520309260,
+        495362057711802,
+    ]));
+
+    const TWO_ADICITY: u32 = 30;
+
+    #[rustfmt::skip]
+    const T_MINUS_ONE_DIV_TWO: &'static [u64] = &[
+        15439605736802142541,
+        18190868848461853149,
+        6220121510046940818,
+        10310485528612680366,
+        5032137869959796540,
+        3943048799800510054,
+        1971151279016362045,
+        6096644900171872841,
+        12908407994230849218,
+        4163225373804228290,
+        10382959950522770522,
+        9008828410264446883,
+        18411821899404157689,
+        12386199240837247984,
+        13370099281150720481,
+        11909278545073807560,
+        5964354403900302648,
+        15347506722065009035,
+        7045354120681109597,
+        14294096902719509929,
+        6180325033003959541,
+        14381489272445870003,
+        18159920240207503954,
+        17487026929061632528,
+        12314108197538755669,
+        12116872703077811769,
+        3401400733784294722,
+        13905351619889935522,
+        10972472942574358218,
+        6104159581753028261,
+        4690139121547787552,
+        4880965491878697414,
+        1926648890365125214,
+        13532564555356297305,
+        3114545746551080,
+        0,
+    ];
+
+    #[rustfmt::skip]
+    const QUADRATIC_NONRESIDUE_TO_T: (Fq, Fq, Fq) = (
+        field_new!(Fq, BigInteger([
+            2456656400918202012,
+            7503386575313625620,
+            1014314685003569848,
+            10473903647598823719,
+            15893393002146336511,
+            8418203974290622500,
+            9017296731996077946,
+            2923126592994124774,
+            9368756030960215800,
+            17344552888362241070,
+            10938255746876359306,
+            107029542386399,
+        ])),
+        field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])),
+        field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])),
+    );
+
+    // Coefficients for the Frobenius automorphism.
+    // c1[0] = 1,
+    // c1[1] = 24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052132
+    // c1[2] = 17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107868,
+    #[rustfmt::skip]
+    const FROBENIUS_COEFF_FP3_C1: &'static [Fq] = &[
+        FQ_ONE,
+        field_new!(Fq, BigInteger([
+            7739145380395648640,
+            1403348385939055902,
+            11220424057264707228,
+            4567962295300549271,
+            5929583493640677751,
+            17618207486530478833,
+            16600462137977359741,
+            16551719371247820635,
+            12057922785354578416,
+            13022559182829558162,
+            13308285686168533250,
+            313705269181021,
+        ])),
+        field_new!(Fq, BigInteger([
+            12973180669431253567,
+            17038664486452692616,
+            11034024317238370177,
+            7712681843988565810,
+            4725787734130647531,
+            2175028350442404679,
+            9323639551697167751,
+            14465264105466053583,
+            8569442212929419360,
+            17553812953652473294,
+            13991744086792172309,
+            48577617831792,
+        ])),
+    ];
+
+    // c2 = {c1[0], c1[2], c1[1]}
+    #[rustfmt::skip]
+    const FROBENIUS_COEFF_FP3_C2: &'static [Fq] = &[
+        FQ_ONE,
+        Self::FROBENIUS_COEFF_FP3_C1[2],
+        Self::FROBENIUS_COEFF_FP3_C1[1],
+    ];
+}

mnt6_753/src/fields/fq6.rs

@@ -0,0 +1,99 @@
+use crate::{Fq, Fq3, Fq3Parameters, FQ_ONE, FQ_ZERO};
+use ark_ff::{
+    biginteger::BigInteger768 as BigInteger,
+    field_new,
+    fields::fp6_2over3::{Fp6, Fp6Parameters},
+};
+
+pub type Fq6 = Fp6<Fq6Parameters>;
+
+pub struct Fq6Parameters;
+
+impl Fp6Parameters for Fq6Parameters {
+    type Fp3Params = Fq3Parameters;
+
+    #[rustfmt::skip]
+    const NONRESIDUE: Fq3 = field_new!(Fq3, FQ_ZERO, FQ_ONE, FQ_ZERO);
+
+    // Coefficients for the Frobenius automorphism.
+    // c1[0] = 1,
+    // c1[1] = 24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052133
+    // c1[2] = 24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052132
+    // c1[3] = 41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888458477323173057491593855069696241854796396165721416325350064441470418137846398469611935719059908164220784476160000
+    // c1[4] = 17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107868
+    // c1[5] = 17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107869
+    #[rustfmt::skip]
+    const FROBENIUS_COEFF_FP6_C1: &'static [Fq] = &[
+        FQ_ONE,
+        field_new!(Fq, BigInteger([
+            2665418275744511426,
+            7073776242814464967,
+            4441331072847607829,
+            5681016258918493042,
+            18254896527151449163,
+            10681724016023285331,
+            1760041123371930134,
+            4557299868084578750,
+            16702481779049799698,
+            14149724469588165150,
+            5617650120443517591,
+            449252806040736,
+        ])),
+        field_new!(Fq, BigInteger([
+            7739145380395648640,
+            1403348385939055902,
+            11220424057264707228,
+            4567962295300549271,
+            5929583493640677751,
+            17618207486530478833,
+            16600462137977359741,
+            16551719371247820635,
+            12057922785354578416,
+            13022559182829558162,
+            13308285686168533250,
+            313705269181021,
+        ])),
+        field_new!(Fq, BigInteger([
+            2265581976117350591,
+            18442012872391748519,
+            3807704300793525789,
+            12280644139289115082,
+            10655371227771325282,
+            1346491763263331896,
+            7477357615964975877,
+            12570239403004322603,
+            2180620924574446161,
+            12129628062772479841,
+            8853285699251153944,
+            362282887012814,
+        ])),
+        field_new!(Fq, BigInteger([
+            12973180669431253567,
+            17038664486452692616,
+            11034024317238370177,
+            7712681843988565810,
+            4725787734130647531,
+            2175028350442404679,
+            9323639551697167751,
+            14465264105466053583,
+            8569442212929419360,
+            17553812953652473294,
+            13991744086792172309,
+            48577617831792,
+        ])),
+        field_new!(Fq, BigInteger([
+            7899453564780116353,
+            4262348269618550065,
+            4254931332821270779,
+            8825735807606509581,
+            17051100767641418943,
+            13685288953644762793,
+            12929962610801289759,
+            2470844602302811697,
+            13214001206624640642,
+            234234166701528666,
+            6301108521067156651,
+            184125154691507,
+        ])),
+    ];
+}

mnt6_753/src/fields/fr.rs

@@ -0,0 +1 @@
+pub use ark_mnt4_753::{Fq as Fr, FqParameters as FrParameters};

mnt6_753/src/fields/mod.rs

@@ -0,0 +1,14 @@
+pub mod fr;
+pub use self::fr::*;
+
+pub mod fq;
+pub use self::fq::*;
+
+pub mod fq3;
+pub use self::fq3::*;
+
+pub mod fq6;
+pub use self::fq6::*;
+
+#[cfg(all(feature = "mnt6_753", test))]
+mod tests;

mnt6_753/src/fields/tests.rs

@@ -0,0 +1,52 @@
+use ark_ff::{
+    fields::{models::fp6_2over3::*, quadratic_extension::QuadExtParameters},
+    test_rng, Field,
+};
+use rand::Rng;
+
+use crate::*;
+
+use ark_curve_tests::fields::*;
+
+#[test]
+fn test_fr() {
+    let mut rng = test_rng();
+    let a: Fr = rng.gen();
+    let b: Fr = rng.gen();
+    field_test(a, b);
+    sqrt_field_test(a);
+    primefield_test::<Fr>();
+}
+
+#[test]
+fn test_fq() {
+    let mut rng = test_rng();
+    let a: Fq = rng.gen();
+    let b: Fq = rng.gen();
+    field_test(a, b);
+    sqrt_field_test(a);
+    primefield_test::<Fq>();
+}
+
+#[test]
+fn test_fq3() {
+    let mut rng = test_rng();
+    let a: Fq3 = rng.gen();
+    let b: Fq3 = rng.gen();
+    field_test(a, b);
+    sqrt_field_test(a);
+    frobenius_test::<Fq3, _>(Fq::characteristic(), 13);
+    assert_eq!(
+        a * Fq6Parameters::NONRESIDUE,
+        <Fp6ParamsWrapper<Fq6Parameters>>::mul_base_field_by_nonresidue(&a)
+    );
+}
+
+#[test]
+fn test_fq6() {
+    let mut rng = test_rng();
+    let a: Fq6 = rng.gen();
+    let b: Fq6 = rng.gen();
+    field_test(a, b);
+    frobenius_test::<Fq6, _>(Fq::characteristic(), 13);
+}