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Diffstat (limited to 'vendor/filippo.io/edwards25519/tables.go')
-rw-r--r-- | vendor/filippo.io/edwards25519/tables.go | 129 |
1 files changed, 129 insertions, 0 deletions
diff --git a/vendor/filippo.io/edwards25519/tables.go b/vendor/filippo.io/edwards25519/tables.go new file mode 100644 index 00000000..beec956b --- /dev/null +++ b/vendor/filippo.io/edwards25519/tables.go @@ -0,0 +1,129 @@ +// Copyright (c) 2019 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package edwards25519 + +import ( + "crypto/subtle" +) + +// A dynamic lookup table for variable-base, constant-time scalar muls. +type projLookupTable struct { + points [8]projCached +} + +// A precomputed lookup table for fixed-base, constant-time scalar muls. +type affineLookupTable struct { + points [8]affineCached +} + +// A dynamic lookup table for variable-base, variable-time scalar muls. +type nafLookupTable5 struct { + points [8]projCached +} + +// A precomputed lookup table for fixed-base, variable-time scalar muls. +type nafLookupTable8 struct { + points [64]affineCached +} + +// Constructors. + +// Builds a lookup table at runtime. Fast. +func (v *projLookupTable) FromP3(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].FromP3(q) + tmpP3 := Point{} + tmpP1xP1 := projP1xP1{} + 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].FromP3(tmpP3.fromP1xP1(tmpP1xP1.Add(q, &v.points[i]))) + } +} + +// This is not optimised for speed; fixed-base tables should be precomputed. +func (v *affineLookupTable) FromP3(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].FromP3(q) + tmpP3 := Point{} + tmpP1xP1 := projP1xP1{} + for i := 0; i < 7; i++ { + // Compute (i+1)*Q as Q + i*Q and convert to AffineCached + v.points[i+1].FromP3(tmpP3.fromP1xP1(tmpP1xP1.AddAffine(q, &v.points[i]))) + } +} + +// Builds a lookup table at runtime. Fast. +func (v *nafLookupTable5) FromP3(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].FromP3(q) + q2 := Point{} + q2.Add(q, q) + tmpP3 := Point{} + tmpP1xP1 := projP1xP1{} + for i := 0; i < 7; i++ { + v.points[i+1].FromP3(tmpP3.fromP1xP1(tmpP1xP1.Add(&q2, &v.points[i]))) + } +} + +// This is not optimised for speed; fixed-base tables should be precomputed. +func (v *nafLookupTable8) FromP3(q *Point) { + v.points[0].FromP3(q) + q2 := Point{} + q2.Add(q, q) + tmpP3 := Point{} + tmpP1xP1 := projP1xP1{} + for i := 0; i < 63; i++ { + v.points[i+1].FromP3(tmpP3.fromP1xP1(tmpP1xP1.AddAffine(&q2, &v.points[i]))) + } +} + +// Selectors. + +// Set dest to x*Q, where -8 <= x <= 8, in constant time. +func (v *projLookupTable) SelectInto(dest *projCached, x int8) { + // Compute xabs = |x| + xmask := x >> 7 + xabs := uint8((x + xmask) ^ xmask) + + dest.Zero() + for j := 1; j <= 8; j++ { + // Set dest = j*Q if |x| = j + cond := subtle.ConstantTimeByteEq(xabs, uint8(j)) + dest.Select(&v.points[j-1], dest, cond) + } + // Now dest = |x|*Q, conditionally negate to get x*Q + dest.CondNeg(int(xmask & 1)) +} + +// Set dest to x*Q, where -8 <= x <= 8, in constant time. +func (v *affineLookupTable) SelectInto(dest *affineCached, x int8) { + // Compute xabs = |x| + xmask := x >> 7 + xabs := uint8((x + xmask) ^ xmask) + + dest.Zero() + for j := 1; j <= 8; j++ { + // Set dest = j*Q if |x| = j + cond := subtle.ConstantTimeByteEq(xabs, uint8(j)) + dest.Select(&v.points[j-1], dest, cond) + } + // Now dest = |x|*Q, conditionally negate to get x*Q + dest.CondNeg(int(xmask & 1)) +} + +// Given odd x with 0 < x < 2^4, return x*Q (in variable time). +func (v *nafLookupTable5) SelectInto(dest *projCached, x int8) { + *dest = v.points[x/2] +} + +// Given odd x with 0 < x < 2^7, return x*Q (in variable time). +func (v *nafLookupTable8) SelectInto(dest *affineCached, x int8) { + *dest = v.points[x/2] +} |