curve25519_compat.go 2.3 KB

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  1. // Copyright 2019 The Go Authors. All rights reserved.
  2. // Use of this source code is governed by a BSD-style
  3. // license that can be found in the LICENSE file.
  4. //go:build !go1.20
  5. package curve25519
  6. import (
  7. "crypto/subtle"
  8. "errors"
  9. "strconv"
  10. "golang.org/x/crypto/curve25519/internal/field"
  11. )
  12. func scalarMult(dst, scalar, point *[32]byte) {
  13. var e [32]byte
  14. copy(e[:], scalar[:])
  15. e[0] &= 248
  16. e[31] &= 127
  17. e[31] |= 64
  18. var x1, x2, z2, x3, z3, tmp0, tmp1 field.Element
  19. x1.SetBytes(point[:])
  20. x2.One()
  21. x3.Set(&x1)
  22. z3.One()
  23. swap := 0
  24. for pos := 254; pos >= 0; pos-- {
  25. b := e[pos/8] >> uint(pos&7)
  26. b &= 1
  27. swap ^= int(b)
  28. x2.Swap(&x3, swap)
  29. z2.Swap(&z3, swap)
  30. swap = int(b)
  31. tmp0.Subtract(&x3, &z3)
  32. tmp1.Subtract(&x2, &z2)
  33. x2.Add(&x2, &z2)
  34. z2.Add(&x3, &z3)
  35. z3.Multiply(&tmp0, &x2)
  36. z2.Multiply(&z2, &tmp1)
  37. tmp0.Square(&tmp1)
  38. tmp1.Square(&x2)
  39. x3.Add(&z3, &z2)
  40. z2.Subtract(&z3, &z2)
  41. x2.Multiply(&tmp1, &tmp0)
  42. tmp1.Subtract(&tmp1, &tmp0)
  43. z2.Square(&z2)
  44. z3.Mult32(&tmp1, 121666)
  45. x3.Square(&x3)
  46. tmp0.Add(&tmp0, &z3)
  47. z3.Multiply(&x1, &z2)
  48. z2.Multiply(&tmp1, &tmp0)
  49. }
  50. x2.Swap(&x3, swap)
  51. z2.Swap(&z3, swap)
  52. z2.Invert(&z2)
  53. x2.Multiply(&x2, &z2)
  54. copy(dst[:], x2.Bytes())
  55. }
  56. func scalarBaseMult(dst, scalar *[32]byte) {
  57. checkBasepoint()
  58. scalarMult(dst, scalar, &basePoint)
  59. }
  60. func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
  61. var in [32]byte
  62. if l := len(scalar); l != 32 {
  63. return nil, errors.New("bad scalar length: " + strconv.Itoa(l) + ", expected 32")
  64. }
  65. if l := len(point); l != 32 {
  66. return nil, errors.New("bad point length: " + strconv.Itoa(l) + ", expected 32")
  67. }
  68. copy(in[:], scalar)
  69. if &point[0] == &Basepoint[0] {
  70. scalarBaseMult(dst, &in)
  71. } else {
  72. var base, zero [32]byte
  73. copy(base[:], point)
  74. scalarMult(dst, &in, &base)
  75. if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 {
  76. return nil, errors.New("bad input point: low order point")
  77. }
  78. }
  79. return dst[:], nil
  80. }
  81. func checkBasepoint() {
  82. if subtle.ConstantTimeCompare(Basepoint, []byte{
  83. 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  84. 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  85. 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  86. 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  87. }) != 1 {
  88. panic("curve25519: global Basepoint value was modified")
  89. }
  90. }