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- // Copyright 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.
- //go:build !go1.20
- package curve25519
- import (
- "crypto/subtle"
- "errors"
- "strconv"
- "golang.org/x/crypto/curve25519/internal/field"
- )
- func scalarMult(dst, scalar, point *[32]byte) {
- var e [32]byte
- copy(e[:], scalar[:])
- e[0] &= 248
- e[31] &= 127
- e[31] |= 64
- var x1, x2, z2, x3, z3, tmp0, tmp1 field.Element
- x1.SetBytes(point[:])
- x2.One()
- x3.Set(&x1)
- z3.One()
- swap := 0
- for pos := 254; pos >= 0; pos-- {
- b := e[pos/8] >> uint(pos&7)
- b &= 1
- swap ^= int(b)
- x2.Swap(&x3, swap)
- z2.Swap(&z3, swap)
- swap = int(b)
- tmp0.Subtract(&x3, &z3)
- tmp1.Subtract(&x2, &z2)
- x2.Add(&x2, &z2)
- z2.Add(&x3, &z3)
- z3.Multiply(&tmp0, &x2)
- z2.Multiply(&z2, &tmp1)
- tmp0.Square(&tmp1)
- tmp1.Square(&x2)
- x3.Add(&z3, &z2)
- z2.Subtract(&z3, &z2)
- x2.Multiply(&tmp1, &tmp0)
- tmp1.Subtract(&tmp1, &tmp0)
- z2.Square(&z2)
- z3.Mult32(&tmp1, 121666)
- x3.Square(&x3)
- tmp0.Add(&tmp0, &z3)
- z3.Multiply(&x1, &z2)
- z2.Multiply(&tmp1, &tmp0)
- }
- x2.Swap(&x3, swap)
- z2.Swap(&z3, swap)
- z2.Invert(&z2)
- x2.Multiply(&x2, &z2)
- copy(dst[:], x2.Bytes())
- }
- func scalarBaseMult(dst, scalar *[32]byte) {
- checkBasepoint()
- scalarMult(dst, scalar, &basePoint)
- }
- func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
- var in [32]byte
- if l := len(scalar); l != 32 {
- return nil, errors.New("bad scalar length: " + strconv.Itoa(l) + ", expected 32")
- }
- if l := len(point); l != 32 {
- return nil, errors.New("bad point length: " + strconv.Itoa(l) + ", expected 32")
- }
- copy(in[:], scalar)
- if &point[0] == &Basepoint[0] {
- scalarBaseMult(dst, &in)
- } else {
- var base, zero [32]byte
- copy(base[:], point)
- scalarMult(dst, &in, &base)
- if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 {
- return nil, errors.New("bad input point: low order point")
- }
- }
- return dst[:], nil
- }
- func checkBasepoint() {
- if subtle.ConstantTimeCompare(Basepoint, []byte{
- 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- }) != 1 {
- panic("curve25519: global Basepoint value was modified")
- }
- }
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