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pairing
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Use explicit imports instead of re-exporting the ff crate

This commit is contained in:
Jack Grigg 2018-07-01 07:59:34 +01:00
parent 1db099f1cc
commit d9d711ebb7
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GPG Key ID: 1B8D649257DB0829
7 changed files with 185 additions and 188 deletions
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12
src/bls12_381/ec.rs
View File

@ -623,12 +623,10 @@ macro_rules! curve_impl {
pub mod g1 {
use super::super::{Bls12, Fq, Fq12, FqRepr, Fr, FrRepr};
use super::g2::G2Affine;
use ff::{BitIterator, Field, PrimeField, PrimeFieldRepr, SqrtField};
use rand::{Rand, Rng};
use std::fmt;
use {
BitIterator, CurveAffine, CurveProjective, EncodedPoint, Engine, Field, GroupDecodingError,
PrimeField, PrimeFieldRepr, SqrtField,
};
use {CurveAffine, CurveProjective, EncodedPoint, Engine, GroupDecodingError};
curve_impl!(
"G1",
@ -1270,12 +1268,10 @@ pub mod g1 {
pub mod g2 {
use super::super::{Bls12, Fq, Fq12, Fq2, FqRepr, Fr, FrRepr};
use super::g1::G1Affine;
use ff::{BitIterator, Field, PrimeField, PrimeFieldRepr, SqrtField};
use rand::{Rand, Rng};
use std::fmt;
use {
BitIterator, CurveAffine, CurveProjective, EncodedPoint, Engine, Field, GroupDecodingError,
PrimeField, PrimeFieldRepr, SqrtField,
};
use {CurveAffine, CurveProjective, EncodedPoint, Engine, GroupDecodingError};
curve_impl!(
"G2",

226
src/bls12_381/fq.rs
View File

@ -682,7 +682,7 @@ impl PrimeFieldRepr for FqRepr {
let mut carry = 0;
for (a, b) in self.0.iter_mut().zip(other.0.iter()) {
*a = ::adc(*a, *b, &mut carry);
*a = ::ff::adc(*a, *b, &mut carry);
}
}
@ -691,7 +691,7 @@ impl PrimeFieldRepr for FqRepr {
let mut borrow = 0;
for (a, b) in self.0.iter_mut().zip(other.0.iter()) {
*a = ::sbb(*a, *b, &mut borrow);
*a = ::ff::sbb(*a, *b, &mut borrow);
}
}
}
@ -909,52 +909,52 @@ impl Field for Fq {
#[inline]
fn mul_assign(&mut self, other: &Fq) {
let mut carry = 0;
let r0 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[0], &mut carry);
let r1 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[1], &mut carry);
let r2 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[2], &mut carry);
let r3 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[3], &mut carry);
let r4 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[4], &mut carry);
let r5 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[5], &mut carry);
let r0 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[0], &mut carry);
let r1 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[1], &mut carry);
let r2 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[2], &mut carry);
let r3 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[3], &mut carry);
let r4 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[4], &mut carry);
let r5 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[5], &mut carry);
let r6 = carry;
let mut carry = 0;
let r1 = ::mac_with_carry(r1, (self.0).0[1], (other.0).0[0], &mut carry);
let r2 = ::mac_with_carry(r2, (self.0).0[1], (other.0).0[1], &mut carry);
let r3 = ::mac_with_carry(r3, (self.0).0[1], (other.0).0[2], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[1], (other.0).0[3], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[1], (other.0).0[4], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[1], (other.0).0[5], &mut carry);
let r1 = ::ff::mac_with_carry(r1, (self.0).0[1], (other.0).0[0], &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[1], (other.0).0[1], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[1], (other.0).0[2], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[1], (other.0).0[3], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[1], (other.0).0[4], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[1], (other.0).0[5], &mut carry);
let r7 = carry;
let mut carry = 0;
let r2 = ::mac_with_carry(r2, (self.0).0[2], (other.0).0[0], &mut carry);
let r3 = ::mac_with_carry(r3, (self.0).0[2], (other.0).0[1], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[2], (other.0).0[2], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[2], (other.0).0[3], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[2], (other.0).0[4], &mut carry);
let r7 = ::mac_with_carry(r7, (self.0).0[2], (other.0).0[5], &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[2], (other.0).0[0], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[2], (other.0).0[1], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[2], (other.0).0[2], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[2], (other.0).0[3], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[2], (other.0).0[4], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[2], (other.0).0[5], &mut carry);
let r8 = carry;
let mut carry = 0;
let r3 = ::mac_with_carry(r3, (self.0).0[3], (other.0).0[0], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[3], (other.0).0[1], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[3], (other.0).0[2], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[3], (other.0).0[3], &mut carry);
let r7 = ::mac_with_carry(r7, (self.0).0[3], (other.0).0[4], &mut carry);
let r8 = ::mac_with_carry(r8, (self.0).0[3], (other.0).0[5], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[3], (other.0).0[0], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[3], (other.0).0[1], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[3], (other.0).0[2], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[3], (other.0).0[3], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[3], (other.0).0[4], &mut carry);
let r8 = ::ff::mac_with_carry(r8, (self.0).0[3], (other.0).0[5], &mut carry);
let r9 = carry;
let mut carry = 0;
let r4 = ::mac_with_carry(r4, (self.0).0[4], (other.0).0[0], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[4], (other.0).0[1], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[4], (other.0).0[2], &mut carry);
let r7 = ::mac_with_carry(r7, (self.0).0[4], (other.0).0[3], &mut carry);
let r8 = ::mac_with_carry(r8, (self.0).0[4], (other.0).0[4], &mut carry);
let r9 = ::mac_with_carry(r9, (self.0).0[4], (other.0).0[5], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[4], (other.0).0[0], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[4], (other.0).0[1], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[4], (other.0).0[2], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[4], (other.0).0[3], &mut carry);
let r8 = ::ff::mac_with_carry(r8, (self.0).0[4], (other.0).0[4], &mut carry);
let r9 = ::ff::mac_with_carry(r9, (self.0).0[4], (other.0).0[5], &mut carry);
let r10 = carry;
let mut carry = 0;
let r5 = ::mac_with_carry(r5, (self.0).0[5], (other.0).0[0], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[5], (other.0).0[1], &mut carry);
let r7 = ::mac_with_carry(r7, (self.0).0[5], (other.0).0[2], &mut carry);
let r8 = ::mac_with_carry(r8, (self.0).0[5], (other.0).0[3], &mut carry);
let r9 = ::mac_with_carry(r9, (self.0).0[5], (other.0).0[4], &mut carry);
let r10 = ::mac_with_carry(r10, (self.0).0[5], (other.0).0[5], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[5], (other.0).0[0], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[5], (other.0).0[1], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[5], (other.0).0[2], &mut carry);
let r8 = ::ff::mac_with_carry(r8, (self.0).0[5], (other.0).0[3], &mut carry);
let r9 = ::ff::mac_with_carry(r9, (self.0).0[5], (other.0).0[4], &mut carry);
let r10 = ::ff::mac_with_carry(r10, (self.0).0[5], (other.0).0[5], &mut carry);
let r11 = carry;
self.mont_reduce(r0, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, r11);
}
@ -962,29 +962,29 @@ impl Field for Fq {
#[inline]
fn square(&mut self) {
let mut carry = 0;
let r1 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[1], &mut carry);
let r2 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[2], &mut carry);
let r3 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[3], &mut carry);
let r4 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[4], &mut carry);
let r5 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[5], &mut carry);
let r1 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[1], &mut carry);
let r2 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[2], &mut carry);
let r3 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[3], &mut carry);
let r4 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[4], &mut carry);
let r5 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[5], &mut carry);
let r6 = carry;
let mut carry = 0;
let r3 = ::mac_with_carry(r3, (self.0).0[1], (self.0).0[2], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[1], (self.0).0[3], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[1], (self.0).0[4], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[1], (self.0).0[5], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[1], (self.0).0[2], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[1], (self.0).0[3], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[1], (self.0).0[4], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[1], (self.0).0[5], &mut carry);
let r7 = carry;
let mut carry = 0;
let r5 = ::mac_with_carry(r5, (self.0).0[2], (self.0).0[3], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[2], (self.0).0[4], &mut carry);
let r7 = ::mac_with_carry(r7, (self.0).0[2], (self.0).0[5], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[2], (self.0).0[3], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[2], (self.0).0[4], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[2], (self.0).0[5], &mut carry);
let r8 = carry;
let mut carry = 0;
let r7 = ::mac_with_carry(r7, (self.0).0[3], (self.0).0[4], &mut carry);
let r8 = ::mac_with_carry(r8, (self.0).0[3], (self.0).0[5], &mut carry);
let r7 = ::ff::mac_with_carry(r7, (self.0).0[3], (self.0).0[4], &mut carry);
let r8 = ::ff::mac_with_carry(r8, (self.0).0[3], (self.0).0[5], &mut carry);
let r9 = carry;
let mut carry = 0;
let r9 = ::mac_with_carry(r9, (self.0).0[4], (self.0).0[5], &mut carry);
let r9 = ::ff::mac_with_carry(r9, (self.0).0[4], (self.0).0[5], &mut carry);
let r10 = carry;
let r11 = r10 >> 63;
@ -1000,18 +1000,18 @@ impl Field for Fq {
let r1 = r1 << 1;
let mut carry = 0;
let r0 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[0], &mut carry);
let r1 = ::adc(r1, 0, &mut carry);
let r2 = ::mac_with_carry(r2, (self.0).0[1], (self.0).0[1], &mut carry);
let r3 = ::adc(r3, 0, &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[2], (self.0).0[2], &mut carry);
let r5 = ::adc(r5, 0, &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[3], (self.0).0[3], &mut carry);
let r7 = ::adc(r7, 0, &mut carry);
let r8 = ::mac_with_carry(r8, (self.0).0[4], (self.0).0[4], &mut carry);
let r9 = ::adc(r9, 0, &mut carry);
let r10 = ::mac_with_carry(r10, (self.0).0[5], (self.0).0[5], &mut carry);
let r11 = ::adc(r11, 0, &mut carry);
let r0 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[0], &mut carry);
let r1 = ::ff::adc(r1, 0, &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[1], (self.0).0[1], &mut carry);
let r3 = ::ff::adc(r3, 0, &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[2], (self.0).0[2], &mut carry);
let r5 = ::ff::adc(r5, 0, &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[3], (self.0).0[3], &mut carry);
let r7 = ::ff::adc(r7, 0, &mut carry);
let r8 = ::ff::mac_with_carry(r8, (self.0).0[4], (self.0).0[4], &mut carry);
let r9 = ::ff::adc(r9, 0, &mut carry);
let r10 = ::ff::mac_with_carry(r10, (self.0).0[5], (self.0).0[5], &mut carry);
let r11 = ::ff::adc(r11, 0, &mut carry);
self.mont_reduce(r0, r1, r2, r3, r4, r5, r6, r7, r8, r9, r10, r11);
}
}
@ -1055,63 +1055,63 @@ impl Fq {
let k = r0.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r0, k, MODULUS.0[0], &mut carry);
r1 = ::mac_with_carry(r1, k, MODULUS.0[1], &mut carry);
r2 = ::mac_with_carry(r2, k, MODULUS.0[2], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[3], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[4], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[5], &mut carry);
r6 = ::adc(r6, 0, &mut carry);
::ff::mac_with_carry(r0, k, MODULUS.0[0], &mut carry);
r1 = ::ff::mac_with_carry(r1, k, MODULUS.0[1], &mut carry);
r2 = ::ff::mac_with_carry(r2, k, MODULUS.0[2], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[3], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[4], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[5], &mut carry);
r6 = ::ff::adc(r6, 0, &mut carry);
let carry2 = carry;
let k = r1.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r1, k, MODULUS.0[0], &mut carry);
r2 = ::mac_with_carry(r2, k, MODULUS.0[1], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[2], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[3], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[4], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[5], &mut carry);
r7 = ::adc(r7, carry2, &mut carry);
::ff::mac_with_carry(r1, k, MODULUS.0[0], &mut carry);
r2 = ::ff::mac_with_carry(r2, k, MODULUS.0[1], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[2], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[3], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[4], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[5], &mut carry);
r7 = ::ff::adc(r7, carry2, &mut carry);
let carry2 = carry;
let k = r2.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r2, k, MODULUS.0[0], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[1], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[2], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[3], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[4], &mut carry);
r7 = ::mac_with_carry(r7, k, MODULUS.0[5], &mut carry);
r8 = ::adc(r8, carry2, &mut carry);
::ff::mac_with_carry(r2, k, MODULUS.0[0], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[1], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[2], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[3], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[4], &mut carry);
r7 = ::ff::mac_with_carry(r7, k, MODULUS.0[5], &mut carry);
r8 = ::ff::adc(r8, carry2, &mut carry);
let carry2 = carry;
let k = r3.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r3, k, MODULUS.0[0], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[1], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[2], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[3], &mut carry);
r7 = ::mac_with_carry(r7, k, MODULUS.0[4], &mut carry);
r8 = ::mac_with_carry(r8, k, MODULUS.0[5], &mut carry);
r9 = ::adc(r9, carry2, &mut carry);
::ff::mac_with_carry(r3, k, MODULUS.0[0], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[1], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[2], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[3], &mut carry);
r7 = ::ff::mac_with_carry(r7, k, MODULUS.0[4], &mut carry);
r8 = ::ff::mac_with_carry(r8, k, MODULUS.0[5], &mut carry);
r9 = ::ff::adc(r9, carry2, &mut carry);
let carry2 = carry;
let k = r4.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r4, k, MODULUS.0[0], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[1], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[2], &mut carry);
r7 = ::mac_with_carry(r7, k, MODULUS.0[3], &mut carry);
r8 = ::mac_with_carry(r8, k, MODULUS.0[4], &mut carry);
r9 = ::mac_with_carry(r9, k, MODULUS.0[5], &mut carry);
r10 = ::adc(r10, carry2, &mut carry);
::ff::mac_with_carry(r4, k, MODULUS.0[0], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[1], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[2], &mut carry);
r7 = ::ff::mac_with_carry(r7, k, MODULUS.0[3], &mut carry);
r8 = ::ff::mac_with_carry(r8, k, MODULUS.0[4], &mut carry);
r9 = ::ff::mac_with_carry(r9, k, MODULUS.0[5], &mut carry);
r10 = ::ff::adc(r10, carry2, &mut carry);
let carry2 = carry;
let k = r5.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r5, k, MODULUS.0[0], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[1], &mut carry);
r7 = ::mac_with_carry(r7, k, MODULUS.0[2], &mut carry);
r8 = ::mac_with_carry(r8, k, MODULUS.0[3], &mut carry);
r9 = ::mac_with_carry(r9, k, MODULUS.0[4], &mut carry);
r10 = ::mac_with_carry(r10, k, MODULUS.0[5], &mut carry);
r11 = ::adc(r11, carry2, &mut carry);
::ff::mac_with_carry(r5, k, MODULUS.0[0], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[1], &mut carry);
r7 = ::ff::mac_with_carry(r7, k, MODULUS.0[2], &mut carry);
r8 = ::ff::mac_with_carry(r8, k, MODULUS.0[3], &mut carry);
r9 = ::ff::mac_with_carry(r9, k, MODULUS.0[4], &mut carry);
r10 = ::ff::mac_with_carry(r10, k, MODULUS.0[5], &mut carry);
r11 = ::ff::adc(r11, carry2, &mut carry);
(self.0).0[0] = r6;
(self.0).0[1] = r7;
(self.0).0[2] = r8;
@ -1123,9 +1123,7 @@ impl Fq {
}
impl SqrtField for Fq {
fn legendre(&self) -> ::LegendreSymbol {
use LegendreSymbol::*;
fn legendre(&self) -> ::ff::LegendreSymbol {
// s = self^((q - 1) // 2)
let s = self.pow([
0xdcff7fffffffd555,
@ -1136,11 +1134,11 @@ impl SqrtField for Fq {
0xd0088f51cbff34d,
]);
if s == Fq::zero() {
Zero
::ff::LegendreSymbol::Zero
} else if s == Fq::one() {
QuadraticResidue
::ff::LegendreSymbol::QuadraticResidue
} else {
QuadraticNonResidue
::ff::LegendreSymbol::QuadraticNonResidue
}
}
@ -2924,7 +2922,7 @@ fn fq_repr_tests() {
#[test]
fn test_fq_legendre() {
use LegendreSymbol::*;
use ff::LegendreSymbol::*;
assert_eq!(QuadraticResidue, Fq::one().legendre());
assert_eq!(Zero, Fq::zero().legendre());

4
src/bls12_381/fq2.rs
View File

@ -160,7 +160,7 @@ impl Field for Fq2 {
}
impl SqrtField for Fq2 {
fn legendre(&self) -> ::LegendreSymbol {
fn legendre(&self) -> ::ff::LegendreSymbol {
self.norm().legendre()
}
@ -865,7 +865,7 @@ fn test_fq2_sqrt() {
#[test]
fn test_fq2_legendre() {
use LegendreSymbol::*;
use ff::LegendreSymbol::*;
assert_eq!(Zero, Fq2::zero().legendre());
// i^2 = -1

123
src/bls12_381/fr.rs
View File

@ -1,5 +1,4 @@
use LegendreSymbol::*;
use {Field, PrimeField, PrimeFieldDecodingError, PrimeFieldRepr, SqrtField};
use ff::{Field, PrimeField, PrimeFieldDecodingError, PrimeFieldRepr, SqrtField};
// r = 52435875175126190479447740508185965837690552500527637822603658699938581184513
const MODULUS: FrRepr = FrRepr([
@ -229,7 +228,7 @@ impl PrimeFieldRepr for FrRepr {
let mut carry = 0;
for (a, b) in self.0.iter_mut().zip(other.0.iter()) {
*a = ::adc(*a, *b, &mut carry);
*a = ::ff::adc(*a, *b, &mut carry);
}
}
@ -238,7 +237,7 @@ impl PrimeFieldRepr for FrRepr {
let mut borrow = 0;
for (a, b) in self.0.iter_mut().zip(other.0.iter()) {
*a = ::sbb(*a, *b, &mut borrow);
*a = ::ff::sbb(*a, *b, &mut borrow);
}
}
}
@ -437,28 +436,28 @@ impl Field for Fr {
#[inline]
fn mul_assign(&mut self, other: &Fr) {
let mut carry = 0;
let r0 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[0], &mut carry);
let r1 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[1], &mut carry);
let r2 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[2], &mut carry);
let r3 = ::mac_with_carry(0, (self.0).0[0], (other.0).0[3], &mut carry);
let r0 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[0], &mut carry);
let r1 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[1], &mut carry);
let r2 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[2], &mut carry);
let r3 = ::ff::mac_with_carry(0, (self.0).0[0], (other.0).0[3], &mut carry);
let r4 = carry;
let mut carry = 0;
let r1 = ::mac_with_carry(r1, (self.0).0[1], (other.0).0[0], &mut carry);
let r2 = ::mac_with_carry(r2, (self.0).0[1], (other.0).0[1], &mut carry);
let r3 = ::mac_with_carry(r3, (self.0).0[1], (other.0).0[2], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[1], (other.0).0[3], &mut carry);
let r1 = ::ff::mac_with_carry(r1, (self.0).0[1], (other.0).0[0], &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[1], (other.0).0[1], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[1], (other.0).0[2], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[1], (other.0).0[3], &mut carry);
let r5 = carry;
let mut carry = 0;
let r2 = ::mac_with_carry(r2, (self.0).0[2], (other.0).0[0], &mut carry);
let r3 = ::mac_with_carry(r3, (self.0).0[2], (other.0).0[1], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[2], (other.0).0[2], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[2], (other.0).0[3], &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[2], (other.0).0[0], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[2], (other.0).0[1], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[2], (other.0).0[2], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[2], (other.0).0[3], &mut carry);
let r6 = carry;
let mut carry = 0;
let r3 = ::mac_with_carry(r3, (self.0).0[3], (other.0).0[0], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[3], (other.0).0[1], &mut carry);
let r5 = ::mac_with_carry(r5, (self.0).0[3], (other.0).0[2], &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[3], (other.0).0[3], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[3], (other.0).0[0], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[3], (other.0).0[1], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[3], (other.0).0[2], &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[3], (other.0).0[3], &mut carry);
let r7 = carry;
self.mont_reduce(r0, r1, r2, r3, r4, r5, r6, r7);
}
@ -466,16 +465,16 @@ impl Field for Fr {
#[inline]
fn square(&mut self) {
let mut carry = 0;
let r1 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[1], &mut carry);
let r2 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[2], &mut carry);
let r3 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[3], &mut carry);
let r1 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[1], &mut carry);
let r2 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[2], &mut carry);
let r3 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[3], &mut carry);
let r4 = carry;
let mut carry = 0;
let r3 = ::mac_with_carry(r3, (self.0).0[1], (self.0).0[2], &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[1], (self.0).0[3], &mut carry);
let r3 = ::ff::mac_with_carry(r3, (self.0).0[1], (self.0).0[2], &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[1], (self.0).0[3], &mut carry);
let r5 = carry;
let mut carry = 0;
let r5 = ::mac_with_carry(r5, (self.0).0[2], (self.0).0[3], &mut carry);
let r5 = ::ff::mac_with_carry(r5, (self.0).0[2], (self.0).0[3], &mut carry);
let r6 = carry;
let r7 = r6 >> 63;
@ -487,14 +486,14 @@ impl Field for Fr {
let r1 = r1 << 1;
let mut carry = 0;
let r0 = ::mac_with_carry(0, (self.0).0[0], (self.0).0[0], &mut carry);
let r1 = ::adc(r1, 0, &mut carry);
let r2 = ::mac_with_carry(r2, (self.0).0[1], (self.0).0[1], &mut carry);
let r3 = ::adc(r3, 0, &mut carry);
let r4 = ::mac_with_carry(r4, (self.0).0[2], (self.0).0[2], &mut carry);
let r5 = ::adc(r5, 0, &mut carry);
let r6 = ::mac_with_carry(r6, (self.0).0[3], (self.0).0[3], &mut carry);
let r7 = ::adc(r7, 0, &mut carry);
let r0 = ::ff::mac_with_carry(0, (self.0).0[0], (self.0).0[0], &mut carry);
let r1 = ::ff::adc(r1, 0, &mut carry);
let r2 = ::ff::mac_with_carry(r2, (self.0).0[1], (self.0).0[1], &mut carry);
let r3 = ::ff::adc(r3, 0, &mut carry);
let r4 = ::ff::mac_with_carry(r4, (self.0).0[2], (self.0).0[2], &mut carry);
let r5 = ::ff::adc(r5, 0, &mut carry);
let r6 = ::ff::mac_with_carry(r6, (self.0).0[3], (self.0).0[3], &mut carry);
let r7 = ::ff::adc(r7, 0, &mut carry);
self.mont_reduce(r0, r1, r2, r3, r4, r5, r6, r7);
}
}
@ -534,35 +533,35 @@ impl Fr {
let k = r0.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r0, k, MODULUS.0[0], &mut carry);
r1 = ::mac_with_carry(r1, k, MODULUS.0[1], &mut carry);
r2 = ::mac_with_carry(r2, k, MODULUS.0[2], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[3], &mut carry);
r4 = ::adc(r4, 0, &mut carry);
::ff::mac_with_carry(r0, k, MODULUS.0[0], &mut carry);
r1 = ::ff::mac_with_carry(r1, k, MODULUS.0[1], &mut carry);
r2 = ::ff::mac_with_carry(r2, k, MODULUS.0[2], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[3], &mut carry);
r4 = ::ff::adc(r4, 0, &mut carry);
let carry2 = carry;
let k = r1.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r1, k, MODULUS.0[0], &mut carry);
r2 = ::mac_with_carry(r2, k, MODULUS.0[1], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[2], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[3], &mut carry);
r5 = ::adc(r5, carry2, &mut carry);
::ff::mac_with_carry(r1, k, MODULUS.0[0], &mut carry);
r2 = ::ff::mac_with_carry(r2, k, MODULUS.0[1], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[2], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[3], &mut carry);
r5 = ::ff::adc(r5, carry2, &mut carry);
let carry2 = carry;
let k = r2.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r2, k, MODULUS.0[0], &mut carry);
r3 = ::mac_with_carry(r3, k, MODULUS.0[1], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[2], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[3], &mut carry);
r6 = ::adc(r6, carry2, &mut carry);
::ff::mac_with_carry(r2, k, MODULUS.0[0], &mut carry);
r3 = ::ff::mac_with_carry(r3, k, MODULUS.0[1], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[2], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[3], &mut carry);
r6 = ::ff::adc(r6, carry2, &mut carry);
let carry2 = carry;
let k = r3.wrapping_mul(INV);
let mut carry = 0;
::mac_with_carry(r3, k, MODULUS.0[0], &mut carry);
r4 = ::mac_with_carry(r4, k, MODULUS.0[1], &mut carry);
r5 = ::mac_with_carry(r5, k, MODULUS.0[2], &mut carry);
r6 = ::mac_with_carry(r6, k, MODULUS.0[3], &mut carry);
r7 = ::adc(r7, carry2, &mut carry);
::ff::mac_with_carry(r3, k, MODULUS.0[0], &mut carry);
r4 = ::ff::mac_with_carry(r4, k, MODULUS.0[1], &mut carry);
r5 = ::ff::mac_with_carry(r5, k, MODULUS.0[2], &mut carry);
r6 = ::ff::mac_with_carry(r6, k, MODULUS.0[3], &mut carry);
r7 = ::ff::adc(r7, carry2, &mut carry);
(self.0).0[0] = r4;
(self.0).0[1] = r5;
(self.0).0[2] = r6;
@ -572,7 +571,7 @@ impl Fr {
}
impl SqrtField for Fr {
fn legendre(&self) -> ::LegendreSymbol {
fn legendre(&self) -> ::ff::LegendreSymbol {
// s = self^((r - 1) // 2)
let s = self.pow([
0x7fffffff80000000,
@ -581,11 +580,11 @@ impl SqrtField for Fr {
0x39f6d3a994cebea4,
]);
if s == Self::zero() {
Zero
::ff::LegendreSymbol::Zero
} else if s == Self::one() {
QuadraticResidue
::ff::LegendreSymbol::QuadraticResidue
} else {
QuadraticNonResidue
::ff::LegendreSymbol::QuadraticNonResidue
}
}
@ -593,9 +592,9 @@ impl SqrtField for Fr {
// Tonelli-Shank's algorithm for q mod 16 = 1
// https://eprint.iacr.org/2012/685.pdf (page 12, algorithm 5)
match self.legendre() {
Zero => Some(*self),
QuadraticNonResidue => None,
QuadraticResidue => {
::ff::LegendreSymbol::Zero => Some(*self),
::ff::LegendreSymbol::QuadraticNonResidue => None,
::ff::LegendreSymbol::QuadraticResidue => {
let mut c = Fr(ROOT_OF_UNITY);
// r = self^((t + 1) // 2)
let mut r = self.pow([
@ -909,6 +908,8 @@ fn test_fr_repr_sub_noborrow() {
#[test]
fn test_fr_legendre() {
use ff::LegendreSymbol::*;
assert_eq!(QuadraticResidue, Fr::one().legendre());
assert_eq!(Zero, Fr::zero().legendre());

4
src/bls12_381/mod.rs
View File

@ -18,7 +18,9 @@ pub use self::fq2::Fq2;
pub use self::fq6::Fq6;
pub use self::fr::{Fr, FrRepr};
use super::{BitIterator, CurveAffine, Engine, Field};
use super::{CurveAffine, Engine};
use ff::{BitIterator, Field};
// The BLS parameter x for BLS12-381 is -0xd201000000010000
const BLS_X: u64 = 0xd201000000010000;

2
src/lib.rs
View File

@ -25,7 +25,7 @@ pub mod bls12_381;
mod wnaf;
pub use self::wnaf::Wnaf;
use ff::*;
use ff::{Field, PrimeField, PrimeFieldDecodingError, PrimeFieldRepr, SqrtField};
use std::error::Error;
use std::fmt;

2
src/tests/field.rs
View File

@ -1,5 +1,5 @@
use ff::{Field, LegendreSymbol, PrimeField, SqrtField};
use rand::{Rng, SeedableRng, XorShiftRng};
use {Field, LegendreSymbol, PrimeField, SqrtField};
pub fn random_frobenius_tests<F: Field, C: AsRef<[u64]>>(characteristic: C, maxpower: usize) {
let mut rng = XorShiftRng::from_seed([0x5dbe6259, 0x8d313d76, 0x3237db17, 0xe5bc0654]);