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Update the documentation of BN254's field parameters (#59)

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This commit is contained in:
Weikeng Chen
2021-05-06 08:22:07 -07:00
committed by GitHub
parent 9d232a7dcd
commit 8c795ec0cf
2 changed files with 11 additions and 6 deletions
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4
bn254/src/fields/fq.rs
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@@ -19,7 +19,7 @@ impl FftParameters for FqParameters {
]);
}
impl FpParameters for FqParameters {
/// MODULUS = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
/// MODULUS = 21888242871839275222246405745257275088696311157297823662689037894645226208583
#[rustfmt::skip]
const MODULUS: BigInteger = BigInteger([
0x3c208c16d87cfd47,
@@ -82,7 +82,7 @@ impl FpParameters for FqParameters {
]);
// (T - 1) // 2 =
// 1837921289030710838195067919506396475074392872918698035817074744121558668640693829665401097909504529
// 5472060717959818805561601436314318772174077789324455915672259473661306552145
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
0x4f082305b61f3f51,

13
bn254/src/fields/fr.rs
View File

@@ -34,6 +34,8 @@ impl FpParameters for FrParameters {
const REPR_SHAVE_BITS: u32 = 2;
/// R = pow(2, 320) % MODULUS
/// = 6350874878119819312338956282401532410528162663560392320966563075034087161851
#[rustfmt::skip]
const R: BigInteger = BigInteger([
12436184717236109307u64,
@@ -42,6 +44,8 @@ impl FpParameters for FrParameters {
1011752739694698287u64,
]);
/// R2 = R * R % MODULUS
/// = 944936681149208446651664254269745548490766851729442924617792859073125903783
#[rustfmt::skip]
const R2: BigInteger = BigInteger([
1997599621687373223u64,
@@ -50,9 +54,10 @@ impl FpParameters for FrParameters {
150537098327114917u64,
]);
/// INV = (-MODULUS) ^ {-1} % pow(2, 64) = 14042775128853446655
const INV: u64 = 14042775128853446655u64;
// GENERATOR = 5
/// GENERATOR = 5
#[rustfmt::skip]
const GENERATOR: BigInteger = BigInteger([
1949230679015292902u64,
@@ -61,7 +66,7 @@ impl FpParameters for FrParameters {
1571765431670520771u64,
]);
/// (r - 1)/2 =
/// (MODULUS - 1)/2 =
/// 10944121435919637611123202872628637544274182200208017171849102093287904247808
#[rustfmt::skip]
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
@@ -73,7 +78,7 @@ impl FpParameters for FrParameters {
// T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t
/// t = (r - 1) / 2^s =
/// T = (MODULUS - 1) / 2^s =
/// 81540058820840996586704275553141814055101440848469862132140264610111
#[rustfmt::skip]
const T: BigInteger = BigInteger([
@@ -83,7 +88,7 @@ impl FpParameters for FrParameters {
0x30644e72e,
]);
/// (t - 1) / 2 =
/// (T - 1) / 2 =
/// 40770029410420498293352137776570907027550720424234931066070132305055
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([