128 lines
3.6 KiB
V
128 lines
3.6 KiB
V
|
module edwards25519
|
||
|
|
||
|
import crypto.internal.subtle
|
||
|
|
||
|
// A precomputed lookup table for fixed-base, constant-time scalar muls.
|
||
|
struct AffineLookupTable {
|
||
|
mut:
|
||
|
points [8]AffineCached
|
||
|
}
|
||
|
|
||
|
// A dynamic lookup table for variable-base, constant-time scalar muls.
|
||
|
struct ProjLookupTable {
|
||
|
mut:
|
||
|
points [8]ProjectiveCached
|
||
|
}
|
||
|
|
||
|
// A dynamic lookup table for variable-base, variable-time scalar muls.
|
||
|
struct NafLookupTable5 {
|
||
|
mut:
|
||
|
points [8]ProjectiveCached
|
||
|
}
|
||
|
|
||
|
// A precomputed lookup table for fixed-base, variable-time scalar muls.
|
||
|
struct NafLookupTable8 {
|
||
|
mut:
|
||
|
points [64]AffineCached
|
||
|
}
|
||
|
|
||
|
// Constructors.
|
||
|
|
||
|
// Builds a lookup table at runtime. Fast.
|
||
|
fn (mut v ProjLookupTable) from_p3(q Point) {
|
||
|
// Goal: v.points[i] = (i+1)*Q, i.e., Q, 2Q, ..., 8Q
|
||
|
// This allows lookup of -8Q, ..., -Q, 0, Q, ..., 8Q
|
||
|
v.points[0].from_p3(q)
|
||
|
mut tmp_p3 := Point{}
|
||
|
mut tmp_p1 := ProjectiveP1{}
|
||
|
for i := 0; i < 7; i++ {
|
||
|
// Compute (i+1)*Q as Q + i*Q and convert to a ProjCached
|
||
|
// This is needlessly complicated because the API has explicit
|
||
|
// recievers instead of creating stack objects and relying on RVO
|
||
|
v.points[i + 1].from_p3(tmp_p3.from_p1(tmp_p1.add(q, v.points[i])))
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// This is not optimised for speed; fixed-base tables should be precomputed.
|
||
|
fn (mut v AffineLookupTable) from_p3(q Point) {
|
||
|
// Goal: v.points[i] = (i+1)*Q, i.e., Q, 2Q, ..., 8Q
|
||
|
// This allows lookup of -8Q, ..., -Q, 0, Q, ..., 8Q
|
||
|
v.points[0].from_p3(q)
|
||
|
mut tmp_p3 := Point{}
|
||
|
mut tmp_p1 := ProjectiveP1{}
|
||
|
for i := 0; i < 7; i++ {
|
||
|
// Compute (i+1)*Q as Q + i*Q and convert to AffineCached
|
||
|
v.points[i + 1].from_p3(tmp_p3.from_p1(tmp_p1.add_affine(q, v.points[i])))
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// Builds a lookup table at runtime. Fast.
|
||
|
fn (mut v NafLookupTable5) from_p3(q Point) {
|
||
|
// Goal: v.points[i] = (2*i+1)*Q, i.e., Q, 3Q, 5Q, ..., 15Q
|
||
|
// This allows lookup of -15Q, ..., -3Q, -Q, 0, Q, 3Q, ..., 15Q
|
||
|
v.points[0].from_p3(q)
|
||
|
mut q2 := Point{}
|
||
|
q2.add(q, q)
|
||
|
mut tmp_p3 := Point{}
|
||
|
mut tmp_p1 := ProjectiveP1{}
|
||
|
for i := 0; i < 7; i++ {
|
||
|
v.points[i + 1].from_p3(tmp_p3.from_p1(tmp_p1.add(q2, v.points[i])))
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// This is not optimised for speed; fixed-base tables should be precomputed.
|
||
|
fn (mut v NafLookupTable8) from_p3(q Point) {
|
||
|
v.points[0].from_p3(q)
|
||
|
mut q2 := Point{}
|
||
|
q2.add(q, q)
|
||
|
mut tmp_p3 := Point{}
|
||
|
mut tmp_p1 := ProjectiveP1{}
|
||
|
for i := 0; i < 63; i++ {
|
||
|
v.points[i + 1].from_p3(tmp_p3.from_p1(tmp_p1.add_affine(q2, v.points[i])))
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// Selectors.
|
||
|
|
||
|
// Set dest to x*Q, where -8 <= x <= 8, in constant time.
|
||
|
fn (mut v ProjLookupTable) select_into(mut dest ProjectiveCached, x i8) {
|
||
|
// Compute xabs = |x|
|
||
|
xmask := x >> 7
|
||
|
xabs := byte((x + xmask) ^ xmask)
|
||
|
|
||
|
dest.zero()
|
||
|
for j := 1; j <= 8; j++ {
|
||
|
// Set dest = j*Q if |x| = j
|
||
|
cond := subtle.constant_time_byte_eq(xabs, byte(j))
|
||
|
dest.selected(&v.points[j - 1], dest, cond)
|
||
|
}
|
||
|
// Now dest = |x|*Q, conditionally negate to get x*Q
|
||
|
dest.cond_neg(int(xmask & 1))
|
||
|
}
|
||
|
|
||
|
// Set dest to x*Q, where -8 <= x <= 8, in constant time.
|
||
|
fn (mut v AffineLookupTable) select_into(mut dest AffineCached, x i8) {
|
||
|
// Compute xabs = |x|
|
||
|
xmask := x >> 7
|
||
|
xabs := byte((x + xmask) ^ xmask)
|
||
|
|
||
|
dest.zero()
|
||
|
for j := 1; j <= 8; j++ {
|
||
|
// Set dest = j*Q if |x| = j
|
||
|
cond := subtle.constant_time_byte_eq(xabs, byte(j))
|
||
|
dest.selected(v.points[j - 1], dest, cond)
|
||
|
}
|
||
|
// Now dest = |x|*Q, conditionally negate to get x*Q
|
||
|
dest.cond_neg(int(xmask & 1))
|
||
|
}
|
||
|
|
||
|
// Given odd x with 0 < x < 2^4, return x*Q (in variable time).
|
||
|
fn (mut v NafLookupTable5) select_into(mut dest ProjectiveCached, x i8) {
|
||
|
dest = v.points[x / 2]
|
||
|
}
|
||
|
|
||
|
// Given odd x with 0 < x < 2^7, return x*Q (in variable time).
|
||
|
fn (mut v NafLookupTable8) select_into(mut dest AffineCached, x i8) {
|
||
|
dest = v.points[x / 2]
|
||
|
}
|