poulpy/src/modulus/impl_u64/barrett.rs
src/modulus/impl_u64/barrett.rsRaw
1use crate::modulus::barrett::BarrettPrecomp;
2use crate::modulus::ReduceOnce;
3
4use num_bigint::BigUint;
5use num_traits::cast::ToPrimitive;
6
7impl BarrettPrecomp<u64>{
8 pub fn new(q: u64) -> BarrettPrecomp<u64> {
9 let big_r: BigUint = (BigUint::from(1 as usize)<<((u64::BITS<<1) as usize)) / BigUint::from(q);
10 let lo: u64 = (&big_r & BigUint::from(u64::MAX)).to_u64().unwrap();
11 let hi: u64 = (big_r >> u64::BITS).to_u64().unwrap();
12 Self{q, lo, hi}
13 }
14
15 /// Returns lhs mod q.
16 #[inline(always)]
17 pub fn reduce(&self, lhs: u64) -> u64{
18 let mut r: u64 = self.reduce_lazy(lhs);
19 r.reduce_once_assign(self.q);
20 r
21 }
22
23 /// Returns lhs mod q in range [0, 2q-1].
24 #[inline(always)]
25 pub fn reduce_lazy(&self, lhs: u64) -> u64{
26 let (_, mhi) = lhs.widening_mul(self.hi);
27 lhs - mhi.wrapping_mul(self.q)
28 }
29
30 /// Assigns lhs mod q to lhs.
31 #[inline(always)]
32 pub fn reduce_assign(&self, lhs: &mut u64){
33 self.reduce_lazy_assign(lhs);
34 lhs.reduce_once_assign(self.q);
35 }
36
37 /// Assigns lhs mod q in range [0, 2q-1] to lhs.
38 #[inline(always)]
39 pub fn reduce_lazy_assign(&self, lhs: &mut u64){
40 let (_, mhi) = lhs.widening_mul(self.hi);
41 *lhs = *lhs - mhi.wrapping_mul(self.q)
42 }
43}