Update MNT4-753

2026-01-08 06:51:32 +01:00 · 2020-12-09 00:00:30 -08:00
parent 5f62fab169
commit 4b050b1aae
6 changed files with 30 additions and 264 deletions
--- a/mnt4_753/src/curves/g1.rs
+++ b/mnt4_753/src/curves/g1.rs
@@ -2,7 +2,7 @@ use ark_ec::{
    mnt4,
    models::{ModelParameters, SWModelParameters},
 };
-use ark_ff::{biginteger::BigInteger768, field_new};
+use ark_ff::field_new;

 use crate::{Fq, Fr, FR_ONE};

@@ -21,37 +21,11 @@ impl ModelParameters for Parameters {
 impl SWModelParameters for Parameters {
    /// COEFF_A = 2
    #[rustfmt::skip]
-    const COEFF_A: Fq = field_new!(Fq, BigInteger768([
-            3553860551672651396,
-            2565472393707818253,
-            3424927325234966109,
-            17487811826058095619,
-            15730291918544907998,
-            4332070408724822737,
-            7212646118208244402,
-            12904649141092619460,
-            9289117987390442562,
-            2254330573517213976,
-            3065472942259520298,
-            271095073719429,
-    ]));
+    const COEFF_A: Fq = field_new!(Fq, "2");

    /// COEFF_B = 0x01373684A8C9DCAE7A016AC5D7748D3313CD8E39051C596560835DF0C9E50A5B59B882A92C78DC537E51A16703EC9855C77FC3D8BB21C8D68BB8CFB9DB4B8C8FBA773111C36C8B1B4E8F1ECE940EF9EAAD265458E06372009C9A0491678EF4
    #[rustfmt::skip]
-    const COEFF_B: Fq = field_new!(Fq, BigInteger768([
-            2672638521926201442,
-            17587766986973859626,
-            1309143029066506763,
-            1756412671449422902,
-            5395165286423163724,
-            589638022240022974,
-            7360845090332416697,
-            9829497896347590557,
-            9341553552113883496,
-            5888515763059971584,
-            10173739464651404689,
-            456607542322059,
-    ]));
+    const COEFF_B: Fq = field_new!(Fq, "28798803903456388891410036793299405764940372360099938340752576406393880372126970068421383312482853541572780087363938442377933706865252053507077543420534380486492786626556269083255657125025963825610840222568694137138741554679540");

    /// COFACTOR = 1
    const COFACTOR: &'static [u64] = &[1];
@@ -69,36 +43,10 @@ impl SWModelParameters for Parameters {
 // Generator of G1
 // X = 7790163481385331313124631546957228376128961350185262705123068027727518350362064426002432450801002268747950550964579198552865939244360469674540925037890082678099826733417900510086646711680891516503232107232083181010099241949569,
 // Y = 6913648190367314284606685101150155872986263667483624713540251048208073654617802840433842931301128643140890502238233930290161632176167186761333725658542781350626799660920481723757654531036893265359076440986158843531053720994648,
-/// G1_GENERATOR_X =
+/// G1_GENERATOR_X = 7790163481385331313124631546957228376128961350185262705123068027727518350362064426002432450801002268747950550964579198552865939244360469674540925037890082678099826733417900510086646711680891516503232107232083181010099241949569
 #[rustfmt::skip]
-pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger768([
-    9433494781491502420,
-    373642694095780604,
-    7974079134466535382,
-    15325904219470166885,
-    16825705122208020751,
-    898733863352481713,
-    3802318585082797759,
-    14417069684372068941,
-    4332882897981414838,
-    15138727514183191816,
-    16850594895992448907,
-    30598511593902
-]));
+pub const G1_GENERATOR_X: Fq = field_new!(Fq, "7790163481385331313124631546957228376128961350185262705123068027727518350362064426002432450801002268747950550964579198552865939244360469674540925037890082678099826733417900510086646711680891516503232107232083181010099241949569");

-/// G1_GENERATOR_Y =
+/// G1_GENERATOR_Y = 6913648190367314284606685101150155872986263667483624713540251048208073654617802840433842931301128643140890502238233930290161632176167186761333725658542781350626799660920481723757654531036893265359076440986158843531053720994648
 #[rustfmt::skip]
-pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger768([
-    15710199097794077134,
-    3645667958306606136,
-    8298269426007169475,
-    5277073422205725562,
-    10451808582969862130,
-    14392820246664025579,
-    4365987620174557815,
-    14007263953321073101,
-    1355600847400958219,
-    3872959105252355444,
-    18016882244107198324,
-    424779036457857
-]));
+pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "6913648190367314284606685101150155872986263667483624713540251048208073654617802840433842931301128643140890502238233930290161632176167186761333725658542781350626799660920481723757654531036893265359076440986158843531053720994648");
--- a/mnt4_753/src/curves/g2.rs
+++ b/mnt4_753/src/curves/g2.rs
@@ -3,7 +3,7 @@ use ark_ec::{
    mnt4::MNT4Parameters,
    models::{ModelParameters, SWModelParameters},
 };
-use ark_ff::{biginteger::BigInteger768, field_new};
+use ark_ff::field_new;

 use crate::{Fq, Fq2, Fr, FQ_ZERO, G1_COEFF_A_NON_RESIDUE};

@@ -41,20 +41,7 @@ impl SWModelParameters for Parameters {
    #[rustfmt::skip]
    const COEFF_B: Fq2 = field_new!(Fq2,
        FQ_ZERO,
-        field_new!(Fq, BigInteger768([
-            15129916544657421551,
-            11332543254671606602,
-            11913830318987286849,
-            13905314883394440110,
-            16479690325073358448,
-            14869098639251228898,
-            10663986895980443550,
-            10768989312009479656,
-            9469728929095040349,
-            4512954369775881939,
-            8788997129423430122,
-            459763387588954,
-        ])),
+        field_new!(Fq, "39196523001581428369576759982967177918859161321667605855515469914917622337081756705006832951954384669101573360625169461998308377011601613979275218690841934572954991361632773738259652003389826903175898479855893660378722437317212")
    );

    /// COFACTOR =
@@ -78,20 +65,7 @@ impl SWModelParameters for Parameters {
    /// COFACTOR^(-1) mod r =
    /// 102345604409665481004734934052318066391634848395005988700111949231215905051467807945653833683883449458834877235200
    #[rustfmt::skip]
-    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger768([
-        1879390364380281898,
-        7926794171490610432,
-        6437239504245874253,
-        16688141022047191858,
-        17059416847145768464,
-        15065047661241262516,
-        16537575340937777321,
-        3324411942044534547,
-        3878293904770657570,
-        18116939243856833744,
-        7557533897589069385,
-        78370361203778,
-    ]));
+    const COFACTOR_INV: Fr = field_new!(Fr, "102345604409665481004734934052318066391634848395005988700111949231215905051467807945653833683883449458834877235200");

    /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@@ -113,65 +87,13 @@ const G2_GENERATOR_Y: Fq2 = field_new!(Fq2, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1
 // Y = 39940152670760519653940320314827327941993141403708338666925204282084477074754642625849927569427860786384998614863651207257467076192649385174108085803168743803491780568503369317093191101779534035377266300185099318717465441820654,
 // 17608637424964395737041291373756657139607306440193731804102457011726690702169238966996114255971643893157857311132388792357391583164125870757541009035041469463366528798593952884745987697403056488744603829437448927398468360797245,
 #[rustfmt::skip]
-pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, BigInteger768([
-    7263636080534048301,
-    7643227961769035653,
-    15787777614640869937,
-    17661317895964274771,
-    4142647779394287783,
-    15064949873659932676,
-    4579259080596351332,
-    2207443675339702626,
-    5738725620118622838,
-    4338467638707299712,
-    6558861849926282439,
-    341078935870328
-]));
+pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "29483965110843144675703364744708836524643960105538608078862508397502447349913068434941060515343254862580437318493682762113105361632548148204806052114008731372757389645383891982211245013965175213456066452587869519098351487925167");

 #[rustfmt::skip]
-pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, BigInteger768([
-    13073882729051113867,
-    195909455108318710,
-    10527070038778509320,
-    16605710222187477118,
-    10442518358308209073,
-    7776589986153052354,
-    16034091384000651523,
-    17429232381273855185,
-    512853344493546034,
-    7982076214836075255,
-    3601416800138513610,
-    399028695285184
-]));
+pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "19706011319630172391076079624799753948158506771222147486237995321925443331396169656568431378974558350664383559981183980668976846806019030432389169137953988990802000581078994008283967768348275973921598166274857631001635633631000");

 #[rustfmt::skip]
-pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, BigInteger768([
-    4867672648970469422,
-    2453112364260322863,
-    11918672197974895143,
-    3923647310180624143,
-    12707123323825700670,
-    15781895092544451511,
-    17747112377690960911,
-    16511994611001933567,
-    15360620366665804029,
-    10252080383738480571,
-    5722654046339742760,
-    316853130349807
-]));
+pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "39940152670760519653940320314827327941993141403708338666925204282084477074754642625849927569427860786384998614863651207257467076192649385174108085803168743803491780568503369317093191101779534035377266300185099318717465441820654");

 #[rustfmt::skip]
-pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, BigInteger768([
-    17322957246732430708,
-    11825815087694023697,
-    7654216682602683900,
-    13544637981229618042,
-    17057060382219081849,
-    4038731408172002692,
-    6631723222530012253,
-    10585926166286435412,
-    16050667328028620117,
-    16598483946296156500,
-    11771818132648686020,
-    1230430296095
-]));
+pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "17608637424964395737041291373756657139607306440193731804102457011726690702169238966996114255971643893157857311132388792357391583164125870757541009035041469463366528798593952884745987697403056488744603829437448927398468360797245");
--- a/mnt4_753/src/curves/mod.rs
+++ b/mnt4_753/src/curves/mod.rs
@@ -1,7 +1,7 @@
 use ark_ec::models::mnt4::{MNT4Parameters, MNT4};
-use ark_ff::{biginteger::BigInteger768, field_new, fields::FpParameters, Fp2};
+use ark_ff::{biginteger::BigInteger768, field_new, Fp2};

-use crate::{Fq, Fq2, Fq2Parameters, Fq4Parameters, FqParameters, Fr, FrParameters};
+use crate::{Fq, Fq2, Fq2Parameters, Fq4Parameters, Fr};

 pub mod g1;
 pub mod g2;
@@ -67,24 +67,9 @@ impl MNT4Parameters for 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);
+pub const G1_COEFF_A_NON_RESIDUE: Fq = field_new!(Fq, "26");
+
+pub const FQ_ZERO: Fq = field_new!(Fq, "0");
+pub const FQ_ONE: Fq = field_new!(Fq, "1");
+pub const FR_ZERO: Fr = field_new!(Fr, "0");
+pub const FR_ONE: Fr = field_new!(Fr, "1");
--- a/mnt4_753/src/curves/tests.rs
+++ b/mnt4_753/src/curves/tests.rs
@@ -57,8 +57,8 @@ fn test_bilinearity() {
    let b: G2Projective = rng.gen();
    let s: Fr = rng.gen();

-    let sa = a.mul(s);
-    let sb = b.mul(s);
+    let sa = a.mul(s.into_repr());
+    let sb = b.mul(s.into_repr());

    let ans1 = MNT4_753::pairing(sa, b);
    let ans2 = MNT4_753::pairing(a, sb);
--- a/mnt4_753/src/fields/fq2.rs
+++ b/mnt4_753/src/fields/fq2.rs
@@ -1,6 +1,5 @@
 use crate::{Fq, FQ_ONE};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
    field_new,
    fields::fp2::{Fp2, Fp2Parameters},
 };
@@ -14,64 +13,16 @@ impl Fp2Parameters for Fq2Parameters {

    // non_residue = 13
    #[rustfmt::skip]
-    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
-            11881297496860141143,
-            13588356353764843511,
-            9969398190777826186,
-            17325157081734070311,
-            16341533986183788031,
-            8322434028726676858,
-            13631157743146294957,
-            8365783422740577875,
-            3010239015809771096,
-            11776256826687733591,
-            7214251687253691272,
-            268626707558702
-    ]));
+    const NONRESIDUE: Fq = field_new!(Fq, "13");

    // 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,
-    );
+    const QUADRATIC_NONRESIDUE: (Self::Fp, Self::Fp) = (field_new!(Fq, "8"), 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
-            ])
-        ),
+        field_new!(Fq, "41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600"),
    ];
 }
--- a/mnt4_753/src/fields/fq4.rs
+++ b/mnt4_753/src/fields/fq4.rs
@@ -1,6 +1,5 @@
 use crate::{Fq, Fq2, Fq2Parameters, FQ_ONE, FQ_ZERO};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
    field_new,
    fields::fp4::{Fp4, Fp4Parameters},
 };
@@ -22,47 +21,8 @@ impl Fp4Parameters for Fq4Parameters {
    #[rustfmt::skip]
    const FROBENIUS_COEFF_FP4_C1: &'static [Fq] = &[
        FQ_ONE,
-        field_new!(Fq, BigInteger([
-            2732208433323581659,
-            2172983777736624684,
-            14351170316343013496,
-            6345300643186282385,
-            3197292113538174065,
-            1887663496013421009,
-            16627860175048929982,
-            1842296636815120666,
-            13463717484107308085,
-            721000253033730237,
-            1214767992212094798,
-            163570781165682,
-         ])),
-        field_new!(Fq, BigInteger([
-            14260497802974073023,
-            5895249896161266456,
-            14682908860938702530,
-            17222385991615618722,
-            14621060510943733448,
-            10594887362868996148,
-            7477357615964975684,
-            12570239403004322603,
-            2180620924574446161,
-            12129628062772479841,
-            8853285699251153944,
-            362282887012814,
-        ])),
-        field_new!(Fq, BigInteger([
-            4081847608632041254,
-            14228374352133326707,
-            11267574244067947896,
-            1174247187748832530,
-            10065542319823237575,
-            10873259071217986508,
-            12902564573729719519,
-            17180267336735511666,
-            11808206507871910973,
-            12535793096497356591,
-            18394626215023595103,
-            334259642706846,
-        ])),
+        field_new!(Fq, "18691656569803771296244054523431852464958959799019013859007259692542121208304602539555350517075508287829753932558576476751900235650227380562700444433662761577027341858128610410779088384480737679672900770810745291515010467307990"),
+        field_new!(Fq, "41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888253786114353726529584385201591605722013126468931404347949840543007986327743462853720628051692141265303114721689600"),
+        field_new!(Fq, "23206834398115182106100160267808784663211750120934935212776243228483231604266504233503543246714830633588317039329677309362453490879357004638891167538350364891904062489821230132228897943262725174047727280881395973788104254381611"),
    ];
 }