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@ -3,7 +3,7 @@ use ark_ec::{ |
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models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
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twisted_edwards_extended::{GroupAffine, GroupProjective},
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};
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use ark_ff::{biginteger::BigInteger256, field_new};
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use ark_ff::field_new;
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#[cfg(test)]
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mod tests;
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@ -11,21 +11,6 @@ mod tests; |
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pub type EdwardsAffine = GroupAffine<EdwardsParameters>;
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pub type EdwardsProjective = GroupProjective<EdwardsParameters>;
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#[rustfmt::skip]
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const GENERATOR_X: Fq = field_new!(Fq, BigInteger256([
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14080349899812819339,
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4104857150246327429,
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8293216003873356624,
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7400363483732984990,
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]));
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#[rustfmt::skip]
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const GENERATOR_Y: Fq = field_new!(Fq, BigInteger256([
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13388310974700241893,
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7654361511478576605,
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8037907163910805792,
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5188938133920569885,
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]));
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/// `JubJub` is a twisted Edwards curve. These curves have equations of the
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/// form: ax² + y² = 1 - dx²y².
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/// over some base finite field Fq.
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@ -58,21 +43,11 @@ impl ModelParameters for EdwardsParameters { |
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impl TEModelParameters for EdwardsParameters {
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/// COEFF_A = -1
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#[rustfmt::skip]
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const COEFF_A: Fq = field_new!(Fq, BigInteger256([
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18446744060824649731,
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18102478225614246908,
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11073656695919314959,
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6613806504683796440,
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]));
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const COEFF_A: Fq = field_new!(Fq, "-1");
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/// COEFF_D = (10240/10241) mod q
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#[rustfmt::skip]
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const COEFF_D: Fq = field_new!(Fq, BigInteger256([
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3049539848285517488,
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18189135023605205683,
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8793554888777148625,
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6339087681201251886,
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]));
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const COEFF_D: Fq = field_new!(Fq, "19257038036680949359750312669786877991949435402254120286184196891950884077233");
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/// COFACTOR = 8
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const COFACTOR: &'static [u64] = &[8];
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@ -80,12 +55,7 @@ impl TEModelParameters for EdwardsParameters { |
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/// COFACTOR^(-1) mod r =
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/// 819310549611346726241370945440405716213240158234039660170669895299022906775
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#[rustfmt::skip]
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const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([
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6832491983681988242,
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12911748493335322362,
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17523939349049608702,
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217463794347581613,
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]));
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const COFACTOR_INV: Fr = field_new!(Fr, "819310549611346726241370945440405716213240158234039660170669895299022906775");
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/// AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)
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const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (GENERATOR_X, GENERATOR_Y);
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@ -100,22 +70,17 @@ impl TEModelParameters for EdwardsParameters { |
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}
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impl MontgomeryModelParameters for EdwardsParameters {
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/// COEFF_A = 0xA002
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/// COEFF_A = 40962
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#[rustfmt::skip]
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const COEFF_A: Fq = field_new!(Fq, BigInteger256([
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388496971701930u64,
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6855257088226130262u64,
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553476580979119549u64,
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6516741293351590684u64,
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]));
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/// COEFF_B = 0x73EDA753299D7D483339D80809A1D80553BDA402FFFE5BFEFFFFFFFEFFFF5FFD
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const COEFF_A: Fq = field_new!(Fq, "40962");
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/// COEFF_B = -40964
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#[rustfmt::skip]
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const COEFF_B: Fq = field_new!(Fq, BigInteger256([
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18446355550968045916u64,
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10902955289292811939u64,
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3147092737149958754u64,
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6710871716016002197u64,
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]));
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const COEFF_B: Fq = field_new!(Fq, "-40964");
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type TEModelParameters = EdwardsParameters;
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}
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#[rustfmt::skip]
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const GENERATOR_X: Fq = field_new!(Fq, "8076246640662884909881801758704306714034609987455869804520522091855516602923");
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#[rustfmt::skip]
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const GENERATOR_Y: Fq = field_new!(Fq, "13262374693698910701929044844600465831413122818447359594527400194675274060458");
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