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Update documentation for BLS12 fields (#1)

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This commit is contained in:
Pratyush Mishra
2020-10-11 20:26:26 -07:00
committed by GitHub
parent 43ca2132fd
commit 33261b4c41
4 changed files with 21 additions and 6 deletions
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6
bls12_377/src/fields/fq.rs
View File

@@ -38,6 +38,7 @@ impl FpParameters for FqParameters {
const REPR_SHAVE_BITS: u32 = 7; const REPR_SHAVE_BITS: u32 = 7;
/// R = 85013442423176922659824578519796707547925331718418265885885478904210582549405549618995257669764901891699128663912
#[rustfmt::skip] #[rustfmt::skip]
const R: BigInteger = BigInteger([ const R: BigInteger = BigInteger([
202099033278250856u64, 202099033278250856u64,
@@ -60,7 +61,9 @@ impl FpParameters for FqParameters {
const INV: u64 = 9586122913090633727u64; const INV: u64 = 9586122913090633727u64;
// GENERATOR = -5 /// GENERATOR = -5
/// Encoded in Montgomery form, so the value here is
/// (-5 * R) % q = 92261639910053574722182574790803529333160366917737991650341130812388023949653897454961487930322210790384999596794
#[rustfmt::skip] #[rustfmt::skip]
const GENERATOR: BigInteger = BigInteger([ const GENERATOR: BigInteger = BigInteger([
0xfc0b8000000002fa, 0xfc0b8000000002fa,
@@ -82,6 +85,7 @@ impl FpParameters for FqParameters {
]); ]);
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T // T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
// For T coprime to 2
// T = (MODULUS - 1) // 2^S = // T = (MODULUS - 1) // 2^S =
// 3675842578061421676390135839012792950148785745837396071634149488243117337281387659330802195819009059 // 3675842578061421676390135839012792950148785745837396071634149488243117337281387659330802195819009059

6
bls12_377/src/fields/fr.rs
View File

@@ -34,6 +34,7 @@ impl FpParameters for FrParameters {
const REPR_SHAVE_BITS: u32 = 3; const REPR_SHAVE_BITS: u32 = 3;
/// R = 6014086494747379908336260804527802945383293308637734276299549080986809532403
#[rustfmt::skip] #[rustfmt::skip]
const R: BigInteger = BigInteger([ const R: BigInteger = BigInteger([
9015221291577245683u64, 9015221291577245683u64,
@@ -52,7 +53,9 @@ impl FpParameters for FrParameters {
const INV: u64 = 725501752471715839u64; const INV: u64 = 725501752471715839u64;
// GENERATOR = 11 /// GENERATOR = 11
/// Encoded in Montgomery form, so the value is
/// (11 * R) % q = 7043719196222586021957094278335006679584931048936630243748405699433040183146
#[rustfmt::skip] #[rustfmt::skip]
const GENERATOR: BigInteger = BigInteger([ const GENERATOR: BigInteger = BigInteger([
1855201571499933546u64, 1855201571499933546u64,
@@ -72,6 +75,7 @@ impl FpParameters for FrParameters {
]); ]);
// T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t // T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t
// For T coprime to 2
/// t = (r - 1) / 2^s = /// t = (r - 1) / 2^s =
/// 60001509534603559531609739528203892656505753216962260608619555 /// 60001509534603559531609739528203892656505753216962260608619555

9
bls12_381/src/fields/fq.rs
View File

@@ -42,6 +42,7 @@ impl FpParameters for FqParameters {
const REPR_SHAVE_BITS: u32 = 3; const REPR_SHAVE_BITS: u32 = 3;
/// R = 3380320199399472671518931668520476396067793891014375699959770179129436917079669831430077592723774664465579537268733
#[rustfmt::skip] #[rustfmt::skip]
const R: BigInteger = BigInteger([ const R: BigInteger = BigInteger([
0x760900000002fffd, 0x760900000002fffd,
@@ -64,7 +65,9 @@ impl FpParameters for FqParameters {
const INV: u64 = 0x89f3fffcfffcfffd; const INV: u64 = 0x89f3fffcfffcfffd;
// GENERATOR = 2 /// GENERATOR = 2
/// Encoded in Montgomery form, so the value is
/// 2 * R % q = 2758230843577277949620073511305048635578704962089743514587482222134842183668501798417467556318533664893264801977679
#[rustfmt::skip] #[rustfmt::skip]
const GENERATOR: BigInteger = BigInteger([ const GENERATOR: BigInteger = BigInteger([
0x321300000006554f, 0x321300000006554f,
@@ -85,8 +88,8 @@ impl FpParameters for FqParameters {
0xd0088f51cbff34d, 0xd0088f51cbff34d,
]); ]);
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T /// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
/// For T coprime to 2
#[rustfmt::skip] #[rustfmt::skip]
const T: BigInteger = BigInteger([ const T: BigInteger = BigInteger([
0xdcff7fffffffd555, 0xdcff7fffffffd555,

6
bls12_381/src/fields/fr.rs
View File

@@ -37,6 +37,7 @@ impl FpParameters for FrParameters {
const REPR_SHAVE_BITS: u32 = 1; const REPR_SHAVE_BITS: u32 = 1;
/// R = 10920338887063814464675503992315976177888879664585288394250266608035967270910
#[rustfmt::skip] #[rustfmt::skip]
const R: BigInteger = BigInteger([ const R: BigInteger = BigInteger([
0x1fffffffe, 0x1fffffffe,
@@ -55,7 +56,9 @@ impl FpParameters for FrParameters {
const INV: u64 = 0xfffffffeffffffff; const INV: u64 = 0xfffffffeffffffff;
// /// GENERATOR = 7
/// Encoded in Montgomery form, so the value here is
/// 7 * R % q = 24006497034320510773280787438025867407531605151569380937148207556313189711857
#[rustfmt::skip] #[rustfmt::skip]
const GENERATOR: BigInteger = BigInteger([ const GENERATOR: BigInteger = BigInteger([
0xefffffff1, 0xefffffff1,
@@ -73,6 +76,7 @@ impl FpParameters for FrParameters {
]); ]);
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T // T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
// For T coprime to 2
// T = (MODULUS - 1) / 2^S = // T = (MODULUS - 1) / 2^S =
// 12208678567578594777604504606729831043093128246378069236549469339647 // 12208678567578594777604504606729831043093128246378069236549469339647