bn.cpp 1.8 KB

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  1. // Copyright 2007,2008 Segher Boessenkool <segher@kernel.crashing.org>
  2. // SPDX-License-Identifier: GPL-2.0-or-later
  3. #include "Common/Crypto/bn.h"
  4. #include <cstddef>
  5. #include <cstdio>
  6. #include <cstring>
  7. #include "Common/CommonTypes.h"
  8. static void bn_zero(u8* d, const size_t n)
  9. {
  10. std::memset(d, 0, n);
  11. }
  12. static void bn_copy(u8* d, const u8* a, const size_t n)
  13. {
  14. std::memcpy(d, a, n);
  15. }
  16. int bn_compare(const u8* a, const u8* b, const size_t n)
  17. {
  18. return std::memcmp(a, b, n);
  19. }
  20. void bn_sub_modulus(u8* a, const u8* N, const size_t n)
  21. {
  22. u8 c = 0;
  23. for (size_t i = n; i > 0;)
  24. {
  25. --i;
  26. u32 dig = N[i] + c;
  27. c = (a[i] < dig);
  28. a[i] -= dig;
  29. }
  30. }
  31. void bn_add(u8* d, const u8* a, const u8* b, const u8* N, const size_t n)
  32. {
  33. u8 c = 0;
  34. for (size_t i = n; i > 0;)
  35. {
  36. --i;
  37. u32 dig = a[i] + b[i] + c;
  38. c = (dig >= 0x100);
  39. d[i] = dig;
  40. }
  41. if (c)
  42. bn_sub_modulus(d, N, n);
  43. if (bn_compare(d, N, n) >= 0)
  44. bn_sub_modulus(d, N, n);
  45. }
  46. void bn_mul(u8* d, const u8* a, const u8* b, const u8* N, const size_t n)
  47. {
  48. bn_zero(d, n);
  49. for (size_t i = 0; i < n; i++)
  50. {
  51. for (u8 mask = 0x80; mask != 0; mask >>= 1)
  52. {
  53. bn_add(d, d, d, N, n);
  54. if ((a[i] & mask) != 0)
  55. bn_add(d, d, b, N, n);
  56. }
  57. }
  58. }
  59. void bn_exp(u8* d, const u8* a, const u8* N, const size_t n, const u8* e, const size_t en)
  60. {
  61. u8 t[512];
  62. bn_zero(d, n);
  63. d[n - 1] = 1;
  64. for (size_t i = 0; i < en; i++)
  65. {
  66. for (u8 mask = 0x80; mask != 0; mask >>= 1)
  67. {
  68. bn_mul(t, d, d, N, n);
  69. if ((e[i] & mask) != 0)
  70. bn_mul(d, t, a, N, n);
  71. else
  72. bn_copy(d, t, n);
  73. }
  74. }
  75. }
  76. // only for prime N -- stupid but lazy, see if I care
  77. void bn_inv(u8* d, const u8* a, const u8* N, const size_t n)
  78. {
  79. u8 t[512], s[512];
  80. bn_copy(t, N, n);
  81. bn_zero(s, n);
  82. s[n - 1] = 2;
  83. bn_sub_modulus(t, s, n);
  84. bn_exp(d, a, N, n, t, n);
  85. }