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This commit is contained in:
Jean-Philippe Bossuat
2025-04-22 18:50:51 +02:00
parent d3e3594ae8
commit fbdb4436b2
18 changed files with 908 additions and 403 deletions
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40
base2k/src/module.rs
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@@ -51,27 +51,23 @@ impl Module {
(self.n() << 1) as _
}
// GALOISGENERATOR^|gen| * sign(gen)
// Returns GALOISGENERATOR^|gen| * sign(gen)
pub fn galois_element(&self, gen: i64) -> i64 {
if gen == 0 {
return 1;
}
((mod_exp_u64(GALOISGENERATOR, gen.abs() as usize) & (self.cyclotomic_order() - 1)) as i64)
* gen.signum()
}
let mut gal_el: u64 = 1;
let mut gen_1_pow: u64 = GALOISGENERATOR;
let mut e: usize = gen.abs() as usize;
while e > 0 {
if e & 1 == 1 {
gal_el = gal_el.wrapping_mul(gen_1_pow);
}
gen_1_pow = gen_1_pow.wrapping_mul(gen_1_pow);
e >>= 1;
// Returns gen^-1
pub fn galois_element_inv(&self, gen: i64) -> i64 {
if gen == 0 {
panic!("cannot invert 0")
}
gal_el &= self.cyclotomic_order() - 1;
(gal_el as i64) * gen.signum()
((mod_exp_u64(gen.abs() as u64, (self.cyclotomic_order() - 1) as usize)
& (self.cyclotomic_order() - 1)) as i64)
* gen.signum()
}
pub fn free(self) {
@@ -79,3 +75,17 @@ impl Module {
drop(self);
}
}
fn mod_exp_u64(x: u64, e: usize) -> u64 {
let mut y: u64 = 1;
let mut x_pow: u64 = x;
let mut exp = e;
while exp > 0 {
if exp & 1 == 1 {
y = y.wrapping_mul(x_pow);
}
x_pow = x_pow.wrapping_mul(x_pow);
exp >>= 1;
}
y
}