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 := u8((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, u8(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 := u8((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, u8(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] }