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ff: Add PrimeField::ReprEndianness associated type

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This enables generic code to reliably operate on the bits of an encoded
field element, by converting them to and from a known (little)
endianness.

The BitAnd and Shr bounds on PrimeField are now removed, as users can
perform these operations themselves as needed.
This commit is contained in:
Jack Grigg
2020-05-01 14:20:35 +12:00
parent 55568b4d6e
commit 38f87c2e73
12 changed files with 101 additions and 323 deletions
Download Patch File Download Diff File Expand all files Collapse all files

61
pairing/src/bls12_381/fq.rs
View File

@@ -1534,67 +1534,6 @@ fn test_fq_mul_assign() {
}
}
#[test]
fn test_fq_shr() {
let mut a = Fq::from_repr(FqRepr([
0x12, 0x25, 0xf2, 0x90, 0x1a, 0xea, 0x51, 0x4e, 0x16, 0x08, 0x0c, 0xf4, 0x07, 0x1e, 0x0b,
0x05, 0xc5, 0x54, 0x1f, 0xd4, 0x80, 0x46, 0xb7, 0xe7, 0x9d, 0xdd, 0x5b, 0x31, 0x2f, 0x3d,
0xd1, 0x04, 0x43, 0x24, 0x2c, 0x06, 0xae, 0xd5, 0x52, 0x87, 0xaa, 0x5c, 0xdd, 0x61, 0x72,
0x84, 0x7f, 0xfd,
]))
.unwrap();
a = a >> 0;
assert_eq!(
a.into_repr(),
FqRepr([
0x12, 0x25, 0xf2, 0x90, 0x1a, 0xea, 0x51, 0x4e, 0x16, 0x08, 0x0c, 0xf4, 0x07, 0x1e,
0x0b, 0x05, 0xc5, 0x54, 0x1f, 0xd4, 0x80, 0x46, 0xb7, 0xe7, 0x9d, 0xdd, 0x5b, 0x31,
0x2f, 0x3d, 0xd1, 0x04, 0x43, 0x24, 0x2c, 0x06, 0xae, 0xd5, 0x52, 0x87, 0xaa, 0x5c,
0xdd, 0x61, 0x72, 0x84, 0x7f, 0xfd,
])
);
a = a >> 1;
assert_eq!(
a.into_repr(),
FqRepr([
0x09, 0x12, 0xf9, 0x48, 0x0d, 0x75, 0x28, 0xa7, 0x0b, 0x04, 0x06, 0x7a, 0x03, 0x8f,
0x05, 0x82, 0xe2, 0xaa, 0x0f, 0xea, 0x40, 0x23, 0x5b, 0xf3, 0xce, 0xee, 0xad, 0x98,
0x97, 0x9e, 0xe8, 0x82, 0x21, 0x92, 0x16, 0x03, 0x57, 0x6a, 0xa9, 0x43, 0xd5, 0x2e,
0x6e, 0xb0, 0xb9, 0x42, 0x3f, 0xfe,
])
);
a = a >> 50;
assert_eq!(
a.into_repr(),
FqRepr([
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x44, 0xbe, 0x52, 0x03, 0x5d, 0x4a, 0x29,
0xc2, 0xc1, 0x01, 0x9e, 0x80, 0xe3, 0xc1, 0x60, 0xb8, 0xaa, 0x83, 0xfa, 0x90, 0x08,
0xd6, 0xfc, 0xf3, 0xbb, 0xab, 0x66, 0x25, 0xe7, 0xba, 0x20, 0x88, 0x64, 0x85, 0x80,
0xd5, 0xda, 0xaa, 0x50, 0xf5, 0x4b,
])
);
a = a >> 130;
assert_eq!(
a.into_repr(),
FqRepr([
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x91, 0x2f, 0x94, 0x80, 0xd7,
0x52, 0x8a, 0x70, 0xb0, 0x40, 0x67, 0xa0, 0x38, 0xf0, 0x58, 0x2e, 0x2a, 0xa0, 0xfe,
0xa4, 0x02, 0x35, 0xbf, 0x3c, 0xee,
])
);
a = a >> 64;
assert_eq!(
a.into_repr(),
FqRepr([
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x91, 0x2f, 0x94, 0x80, 0xd7, 0x52, 0x8a, 0x70, 0xb0, 0x40, 0x67,
0xa0, 0x38, 0xf0, 0x58, 0x2e, 0x2a,
])
);
}
#[test]
fn test_fq_squaring() {
let a = Fq([

55
pairing/src/bls12_381/fr.rs
View File

@@ -323,61 +323,6 @@ fn test_fr_mul_assign() {
}
}
#[test]
fn test_fr_shr() {
let mut a = Fr::from_repr(FrRepr([
0x3f, 0x28, 0x2a, 0x48, 0xec, 0xba, 0x3f, 0xb3, 0xdf, 0xb3, 0x8c, 0xa8, 0xd3, 0xe0, 0x7d,
0x99, 0x25, 0x55, 0x0e, 0x9a, 0x2a, 0x2d, 0xf6, 0x9a, 0xa1, 0x0d, 0xe7, 0x8d, 0xb0, 0x3a,
0x00, 0x36,
]))
.unwrap();
a = a >> 0;
assert_eq!(
a.into_repr(),
FrRepr([
0x3f, 0x28, 0x2a, 0x48, 0xec, 0xba, 0x3f, 0xb3, 0xdf, 0xb3, 0x8c, 0xa8, 0xd3, 0xe0,
0x7d, 0x99, 0x25, 0x55, 0x0e, 0x9a, 0x2a, 0x2d, 0xf6, 0x9a, 0xa1, 0x0d, 0xe7, 0x8d,
0xb0, 0x3a, 0x00, 0x36,
])
);
a = a >> 1;
assert_eq!(
a.into_repr(),
FrRepr([
0x1f, 0x14, 0x15, 0x24, 0x76, 0xdd, 0x9f, 0xd9, 0xef, 0x59, 0x46, 0xd4, 0x69, 0xf0,
0xbe, 0xcc, 0x92, 0x2a, 0x07, 0x4d, 0x95, 0x16, 0x7b, 0xcd, 0xd0, 0x86, 0xf3, 0x46,
0x58, 0x1d, 0x00, 0x1b,
])
);
a = a >> 50;
assert_eq!(
a.into_repr(),
FrRepr([
0x67, 0xf6, 0x7b, 0x96, 0x11, 0x75, 0x1a, 0xbc, 0x2f, 0xb3, 0xa4, 0xca, 0x41, 0x53,
0xa5, 0xc5, 0x5e, 0x33, 0xb4, 0xe1, 0xbc, 0x11, 0x56, 0x07, 0xc0, 0x06, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00,
])
);
a = a >> 130;
assert_eq!(
a.into_repr(),
FrRepr([
0xd7, 0x0c, 0x6d, 0x38, 0x6f, 0x84, 0xd5, 0x01, 0xb0, 0x01, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00,
])
);
a = a >> 64;
assert_eq!(
a.into_repr(),
FrRepr([
0xb0, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00,
])
);
}
#[test]
fn test_fr_squaring() {
let a = Fr([

28
pairing/src/tests/repr.rs
View File

@@ -4,7 +4,6 @@ use rand_xorshift::XorShiftRng;
pub fn random_repr_tests<P: PrimeField>() {
random_encoding_tests::<P>();
random_shr_tests::<P>();
}
fn random_encoding_tests<P: PrimeField>() {
@@ -22,30 +21,3 @@ fn random_encoding_tests<P: PrimeField>() {
assert_eq!(r, rdecoded);
}
}
fn random_shr_tests<P: PrimeField>() {
let mut rng = XorShiftRng::from_seed([
0x59, 0x62, 0xbe, 0x5d, 0x76, 0x3d, 0x31, 0x8d, 0x17, 0xdb, 0x37, 0x32, 0x54, 0x06, 0xbc,
0xe5,
]);
for _ in 0..100 {
let r = P::random(&mut rng);
for shift in 0..P::NUM_BITS {
let r1 = r >> shift;
// Doubling the shifted element inserts zeros on the right; re-shifting should
// undo the doubling.
let mut r2 = r1;
for _ in 0..shift {
r2 = r2.double();
}
r2 = r2 >> shift;
assert_eq!(r1, r2);
}
assert_eq!(r >> P::NUM_BITS, P::zero());
}
}