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s/eps/epsilon/ for clarity

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Henry de Valence 2018-01-24 12:42:57 -08:00
parent 0e9b8e0a6e
commit 86fd06db00
1 changed files with 5 additions and 5 deletions
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10
src/backend/u64/field.rs
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@ -190,11 +190,11 @@ impl<'a, 'b> Mul<&'b FieldElement64> for &'a FieldElement64 {
// and there is no overflow. // and there is no overflow.
out[0] = out[0] + carry * 19; out[0] = out[0] + carry * 19;
// Now out[1] < 2^51 + 2^(64 -51) = 2^51 + 2^13 < 2^(51 + eps). // Now out[1] < 2^51 + 2^(64 -51) = 2^51 + 2^13 < 2^(51 + epsilon).
out[1] += out[0] >> 51; out[1] += out[0] >> 51;
out[0] &= LOW_51_BIT_MASK; out[0] &= LOW_51_BIT_MASK;
// Now out[i] < 2^(51 + eps) for all i. // Now out[i] < 2^(51 + epsilon) for all i.
FieldElement64(out) FieldElement64(out)
} }
} }
@ -246,7 +246,7 @@ impl FieldElement64 {
FieldElement64([2251799813685228, 2251799813685247, 2251799813685247, 2251799813685247, 2251799813685247]) FieldElement64([2251799813685228, 2251799813685247, 2251799813685247, 2251799813685247, 2251799813685247])
} }
/// Given 64-bit input limbs, reduce to enforce the bound 2^(51 + eps). /// Given 64-bit input limbs, reduce to enforce the bound 2^(51 + epsilon).
#[inline(always)] #[inline(always)]
fn reduce(mut limbs: [u64; 5]) -> FieldElement64 { fn reduce(mut limbs: [u64; 5]) -> FieldElement64 {
const LOW_51_BIT_MASK: u64 = (1u64 << 51) - 1; const LOW_51_BIT_MASK: u64 = (1u64 << 51) - 1;
@ -499,11 +499,11 @@ impl FieldElement64 {
// and there is no overflow. // and there is no overflow.
a[0] = a[0] + carry * 19; a[0] = a[0] + carry * 19;
// Now a[1] < 2^51 + 2^(64 -51) = 2^51 + 2^13 < 2^(51 + eps). // Now a[1] < 2^51 + 2^(64 -51) = 2^51 + 2^13 < 2^(51 + epsilon).
a[1] += a[0] >> 51; a[1] += a[0] >> 51;
a[0] &= LOW_51_BIT_MASK; a[0] &= LOW_51_BIT_MASK;
// Now all a[i] < 2^(51 + eps) and a = self^(2^k). // Now all a[i] < 2^(51 + epsilon) and a = self^(2^k).
k = k - 1; k = k - 1;
if k == 0 { if k == 0 {