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ff: Move pow_vartime into a trait that is generic over the limb size

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The trait is implemented by default for u8 and u64, allowing pow_vartime
to be used with both the byte encoding and limb representation of field
elements.
This commit is contained in:
Jack Grigg
2020-03-27 22:35:55 +13:00
parent 69c60530d4
commit b6457a905b
14 changed files with 89 additions and 55 deletions
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52
pairing/src/bls12_381/fq.rs
View File

@@ -2,6 +2,8 @@ use super::fq2::Fq2;
use ff::{Field, PrimeField, PrimeFieldDecodingError, PrimeFieldRepr};
use std::ops::{AddAssign, MulAssign, SubAssign};
#[cfg(test)]
use ff::PowVartime;
#[cfg(test)]
use std::ops::Neg;
@@ -466,7 +468,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ2_C1[1],
nqr.pow_vartime([
0xdcff7fffffffd555,
0xdcff7fffffffd555u64,
0xf55ffff58a9ffff,
0xb39869507b587b12,
0xb23ba5c279c2895f,
@@ -484,7 +486,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C1[1],
nqr.pow_vartime([
0x9354ffffffffe38e,
0x9354ffffffffe38eu64,
0xa395554e5c6aaaa,
0xcd104635a790520c,
0xcc27c3d6fbd7063f,
@@ -495,7 +497,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C1[2],
nqr.pow_vartime([
0xb78e0000097b2f68,
0xb78e0000097b2f68u64,
0xd44f23b47cbd64e3,
0x5cb9668120b069a9,
0xccea85f9bf7b3d16,
@@ -512,7 +514,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C1[3],
nqr.pow_vartime([
0xdbc6fcd6f35b9e06,
0xdbc6fcd6f35b9e06u64,
0x997dead10becd6aa,
0x9dbbd24c17206460,
0x72b97acc6057c45e,
@@ -535,7 +537,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C1[4],
nqr.pow_vartime([
0x4649add3c71c6d90,
0x4649add3c71c6d90u64,
0x43caa6528972a865,
0xcda8445bbaaa0fbb,
0xc93dea665662aa66,
@@ -564,7 +566,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C1[5],
nqr.pow_vartime([
0xf896f792732eb2be,
0xf896f792732eb2beu64,
0x49c86a6d1dc593a1,
0xe5b31e94581f91c3,
0xe3da5cc0a6b20d7f,
@@ -601,7 +603,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C2[1],
nqr.pow_vartime([
0x26a9ffffffffc71c,
0x26a9ffffffffc71cu64,
0x1472aaa9cb8d5555,
0x9a208c6b4f20a418,
0x984f87adf7ae0c7f,
@@ -612,7 +614,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C2[2],
nqr.pow_vartime([
0x6f1c000012f65ed0,
0x6f1c000012f65ed0u64,
0xa89e4768f97ac9c7,
0xb972cd024160d353,
0x99d50bf37ef67a2c,
@@ -629,7 +631,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C2[3],
nqr.pow_vartime([
0xb78df9ade6b73c0c,
0xb78df9ade6b73c0cu64,
0x32fbd5a217d9ad55,
0x3b77a4982e40c8c1,
0xe572f598c0af88bd,
@@ -652,7 +654,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C2[4],
nqr.pow_vartime([
0x8c935ba78e38db20,
0x8c935ba78e38db20u64,
0x87954ca512e550ca,
0x9b5088b775541f76,
0x927bd4ccacc554cd,
@@ -681,7 +683,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ6_C2[5],
nqr.pow_vartime([
0xf12def24e65d657c,
0xf12def24e65d657cu64,
0x9390d4da3b8b2743,
0xcb663d28b03f2386,
0xc7b4b9814d641aff,
@@ -718,7 +720,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[1],
nqr.pow_vartime([
0x49aa7ffffffff1c7,
0x49aa7ffffffff1c7u64,
0x51caaaa72e35555,
0xe688231ad3c82906,
0xe613e1eb7deb831f,
@@ -729,7 +731,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[2],
nqr.pow_vartime([
0xdbc7000004bd97b4,
0xdbc7000004bd97b4u64,
0xea2791da3e5eb271,
0x2e5cb340905834d4,
0xe67542fcdfbd9e8b,
@@ -746,7 +748,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[3],
nqr.pow_vartime(vec![
0x6de37e6b79adcf03,
0x6de37e6b79adcf03u64,
0x4cbef56885f66b55,
0x4edde9260b903230,
0x395cbd66302be22f,
@@ -769,7 +771,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[4],
nqr.pow_vartime(vec![
0xa324d6e9e38e36c8,
0xa324d6e9e38e36c8u64,
0xa1e5532944b95432,
0x66d4222ddd5507dd,
0xe49ef5332b315533,
@@ -798,7 +800,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[5],
nqr.pow_vartime(vec![
0xfc4b7bc93997595f,
0xfc4b7bc93997595fu64,
0xa4e435368ee2c9d0,
0xf2d98f4a2c0fc8e1,
0xf1ed2e60535906bf,
@@ -833,7 +835,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[6],
nqr.pow_vartime(vec![
0x21219610a012ba3c,
0x21219610a012ba3cu64,
0xa5c19ad35375325,
0x4e9df1e497674396,
0xfb05b717c991c6ef,
@@ -874,7 +876,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[7],
nqr.pow_vartime(vec![
0x742754a1f22fdb,
0x742754a1f22fdbu64,
0x2a1955c2dec3a702,
0x9747b28c796d134e,
0xc113a0411f59db79,
@@ -921,7 +923,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[8],
nqr.pow_vartime(vec![
0x802f5720d0b25710,
0x802f5720d0b25710u64,
0x6714f0a258b85c7c,
0x31394c90afdf16e,
0xe9d2b0c64f957b19,
@@ -974,7 +976,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[9],
nqr.pow_vartime(vec![
0x4af4accf7de0b977,
0x4af4accf7de0b977u64,
0x742485e21805b4ee,
0xee388fbc4ac36dec,
0x1e199da57ad178a,
@@ -1033,7 +1035,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[10],
nqr.pow_vartime(vec![
0xe5953a4f96cdda44,
0xe5953a4f96cdda44u64,
0x336b2d734cbc32bb,
0x3f79bfe3cd7410e,
0x267ae19aaa0f0332,
@@ -1098,7 +1100,7 @@ fn test_frob_coeffs() {
assert_eq!(
FROBENIUS_COEFF_FQ12_C1[11],
nqr.pow_vartime(vec![
0x107db680942de533,
0x107db680942de533u64,
0x6262b24d2052393b,
0x6136df824159ebc,
0xedb052c9970c5deb,
@@ -2029,7 +2031,7 @@ fn test_fq_pow() {
0xe5,
]);
for i in 0..1000 {
for i in 0u64..1000 {
// Exponentiate by various small numbers and ensure it consists with repeated
// multiplication.
let a = Fq::random(&mut rng);
@@ -2197,7 +2199,7 @@ fn test_fq_root_of_unity() {
);
assert_eq!(
Fq::multiplicative_generator().pow_vartime([
0xdcff7fffffffd555,
0xdcff7fffffffd555u64,
0xf55ffff58a9ffff,
0xb39869507b587b12,
0xb23ba5c279c2895f,
@@ -2206,7 +2208,7 @@ fn test_fq_root_of_unity() {
]),
Fq::root_of_unity()
);
assert_eq!(Fq::root_of_unity().pow_vartime([1 << Fq::S]), Fq::one());
assert_eq!(Fq::root_of_unity().pow_vartime([1u64 << Fq::S]), Fq::one());
assert!(bool::from(Fq::multiplicative_generator().sqrt().is_none()));
}

6
pairing/src/bls12_381/fq2.rs
View File

@@ -1,5 +1,5 @@
use super::fq::{Fq, FROBENIUS_COEFF_FQ2_C1, NEGATIVE_ONE};
use ff::{Field, SqrtField};
use ff::{Field, PowVartime, SqrtField};
use rand_core::RngCore;
use std::cmp::Ordering;
use std::ops::{Add, AddAssign, Mul, MulAssign, Neg, Sub, SubAssign};
@@ -254,7 +254,7 @@ impl SqrtField for Fq2 {
} else {
// a1 = self^((q - 3) / 4)
let mut a1 = self.pow_vartime([
0xee7fbfffffffeaaa,
0xee7fbfffffffeaaau64,
0x7aaffffac54ffff,
0xd9cc34a83dac3d89,
0xd91dd2e13ce144af,
@@ -286,7 +286,7 @@ impl SqrtField for Fq2 {
alpha.add_assign(&Fq2::one());
// alpha = alpha^((q - 1) / 2)
alpha = alpha.pow_vartime([
0xdcff7fffffffd555,
0xdcff7fffffffd555u64,
0xf55ffff58a9ffff,
0xb39869507b587b12,
0xb23ba5c279c2895f,

8
pairing/src/bls12_381/fr.rs
View File

@@ -6,6 +6,8 @@ use std::ops::{AddAssign, MulAssign, SubAssign};
#[PrimeFieldGenerator = "7"]
pub struct Fr(FrRepr);
#[cfg(test)]
use ff::PowVartime;
#[cfg(test)]
use rand_core::SeedableRng;
#[cfg(test)]
@@ -763,7 +765,7 @@ fn test_fr_pow() {
0xe5,
]);
for i in 0..1000 {
for i in 0u64..1000 {
// Exponentiate by various small numbers and ensure it consists with repeated
// multiplication.
let a = Fr::random(&mut rng);
@@ -965,14 +967,14 @@ fn test_fr_root_of_unity() {
);
assert_eq!(
Fr::multiplicative_generator().pow_vartime([
0xfffe5bfeffffffff,
0xfffe5bfeffffffffu64,
0x9a1d80553bda402,
0x299d7d483339d808,
0x73eda753
]),
Fr::root_of_unity()
);
assert_eq!(Fr::root_of_unity().pow_vartime([1 << Fr::S]), Fr::one());
assert_eq!(Fr::root_of_unity().pow_vartime([1u64 << Fr::S]), Fr::one());
assert!(bool::from(Fr::multiplicative_generator().sqrt().is_none()));
}

2
pairing/src/bls12_381/mod.rs
View File

@@ -23,7 +23,7 @@ pub use self::fr::{Fr, FrRepr};
use super::{Engine, PairingCurveAffine};
use ff::{BitIterator, Field, ScalarEngine};
use ff::{BitIterator, Field, PowVartime, ScalarEngine};
use group::CurveAffine;
use std::ops::{AddAssign, MulAssign, Neg, SubAssign};
use subtle::CtOption;

1
pairing/src/tests/engine.rs
View File

@@ -1,3 +1,4 @@
use ff::PowVartime;
use group::{CurveAffine, CurveProjective};
use rand_core::SeedableRng;
use rand_xorshift::XorShiftRng;

2
pairing/src/tests/field.rs
View File

@@ -1,4 +1,4 @@
use ff::{Field, PrimeField, SqrtField};
use ff::{Field, PowVartime, PrimeField, SqrtField};
use rand_core::{RngCore, SeedableRng};
use rand_xorshift::XorShiftRng;