1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
use ark_ff::{BigInteger, PrimeField};
use ark_std::{cfg_iter, cfg_iter_mut, vec::Vec};
#[cfg(feature = "parallel")]
use rayon::prelude::*;
use super::ScalarMul;
pub struct FixedBase;
impl FixedBase {
pub fn get_mul_window_size(num_scalars: usize) -> usize {
if num_scalars < 32 {
3
} else {
super::ln_without_floats(num_scalars)
}
}
pub fn get_window_table<T: ScalarMul>(
scalar_size: usize,
window: usize,
g: T,
) -> Vec<Vec<T::MulBase>> {
let in_window = 1 << window;
let outerc = (scalar_size + window - 1) / window;
let last_in_window = 1 << (scalar_size - (outerc - 1) * window);
let mut multiples_of_g = vec![vec![T::zero(); in_window]; outerc];
let mut g_outer = g;
let mut g_outers = Vec::with_capacity(outerc);
for _ in 0..outerc {
g_outers.push(g_outer);
for _ in 0..window {
g_outer.double_in_place();
}
}
cfg_iter_mut!(multiples_of_g)
.enumerate()
.take(outerc)
.zip(g_outers)
.for_each(|((outer, multiples_of_g), g_outer)| {
let cur_in_window = if outer == outerc - 1 {
last_in_window
} else {
in_window
};
let mut g_inner = T::zero();
for inner in multiples_of_g.iter_mut().take(cur_in_window) {
*inner = g_inner;
g_inner += &g_outer;
}
});
cfg_iter!(multiples_of_g)
.map(|s| T::batch_convert_to_mul_base(s))
.collect()
}
pub fn windowed_mul<T: ScalarMul>(
outerc: usize,
window: usize,
multiples_of_g: &[Vec<<T as ScalarMul>::MulBase>],
scalar: &T::ScalarField,
) -> T {
let modulus_size = T::ScalarField::MODULUS_BIT_SIZE as usize;
let scalar_val = scalar.into_bigint().to_bits_le();
let mut res = T::from(multiples_of_g[0][0]);
for outer in 0..outerc {
let mut inner = 0usize;
for i in 0..window {
if outer * window + i < modulus_size && scalar_val[outer * window + i] {
inner |= 1 << i;
}
}
res += &multiples_of_g[outer][inner];
}
res
}
pub fn msm<T: ScalarMul>(
scalar_size: usize,
window: usize,
table: &[Vec<<T as ScalarMul>::MulBase>],
v: &[T::ScalarField],
) -> Vec<T> {
let outerc = (scalar_size + window - 1) / window;
assert!(outerc <= table.len());
cfg_iter!(v)
.map(|e| Self::windowed_mul::<T>(outerc, window, table, e))
.collect::<Vec<_>>()
}
}