X25519.cs 8.7 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. #pragma warning disable
  3. using System;
  4. using System.Diagnostics;
  5. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc8032;
  6. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Security;
  7. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Utilities;
  8. namespace Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc7748
  9. {
  10. using F = X25519Field;
  11. public static class X25519
  12. {
  13. public const int PointSize = 32;
  14. public const int ScalarSize = 32;
  15. private const int C_A = 486662;
  16. private const int C_A24 = (C_A + 2)/4;
  17. //private static readonly int[] SqrtNeg486664 = { 0x03457E06, 0x03812ABF, 0x01A82CC6, 0x028A5BE8, 0x018B43A7,
  18. // 0x03FC4F7E, 0x02C23700, 0x006BBD27, 0x03A30500, 0x001E4DDB };
  19. public static bool CalculateAgreement(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff)
  20. {
  21. ScalarMult(k, kOff, u, uOff, r, rOff);
  22. return !Arrays.AreAllZeroes(r, rOff, PointSize);
  23. }
  24. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  25. public static bool CalculateAgreement(ReadOnlySpan<byte> k, ReadOnlySpan<byte> u, Span<byte> r)
  26. {
  27. ScalarMult(k, u, r);
  28. return !Arrays.AreAllZeroes(r[..PointSize]);
  29. }
  30. #endif
  31. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  32. private static uint Decode32(ReadOnlySpan<byte> bs)
  33. {
  34. uint n = bs[0];
  35. n |= (uint)bs[1] << 8;
  36. n |= (uint)bs[2] << 16;
  37. n |= (uint)bs[3] << 24;
  38. return n;
  39. }
  40. private static void DecodeScalar(ReadOnlySpan<byte> k, Span<uint> n)
  41. {
  42. for (int i = 0; i < 8; ++i)
  43. {
  44. n[i] = Decode32(k[(i * 4)..]);
  45. }
  46. n[0] &= 0xFFFFFFF8U;
  47. n[7] &= 0x7FFFFFFFU;
  48. n[7] |= 0x40000000U;
  49. }
  50. #else
  51. private static uint Decode32(byte[] bs, int off)
  52. {
  53. uint n = bs[off];
  54. n |= (uint)bs[++off] << 8;
  55. n |= (uint)bs[++off] << 16;
  56. n |= (uint)bs[++off] << 24;
  57. return n;
  58. }
  59. private static void DecodeScalar(byte[] k, int kOff, uint[] n)
  60. {
  61. for (int i = 0; i < 8; ++i)
  62. {
  63. n[i] = Decode32(k, kOff + i * 4);
  64. }
  65. n[0] &= 0xFFFFFFF8U;
  66. n[7] &= 0x7FFFFFFFU;
  67. n[7] |= 0x40000000U;
  68. }
  69. #endif
  70. public static void GeneratePrivateKey(SecureRandom random, byte[] k)
  71. {
  72. if (k.Length != ScalarSize)
  73. throw new ArgumentException(nameof(k));
  74. random.NextBytes(k);
  75. k[0] &= 0xF8;
  76. k[ScalarSize - 1] &= 0x7F;
  77. k[ScalarSize - 1] |= 0x40;
  78. }
  79. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  80. public static void GeneratePrivateKey(SecureRandom random, Span<byte> k)
  81. {
  82. if (k.Length != ScalarSize)
  83. throw new ArgumentException(nameof(k));
  84. random.NextBytes(k);
  85. k[0] &= 0xF8;
  86. k[ScalarSize - 1] &= 0x7F;
  87. k[ScalarSize - 1] |= 0x40;
  88. }
  89. #endif
  90. public static void GeneratePublicKey(byte[] k, int kOff, byte[] r, int rOff)
  91. {
  92. ScalarMultBase(k, kOff, r, rOff);
  93. }
  94. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  95. public static void GeneratePublicKey(ReadOnlySpan<byte> k, Span<byte> r)
  96. {
  97. ScalarMultBase(k, r);
  98. }
  99. #endif
  100. private static void PointDouble(int[] x, int[] z)
  101. {
  102. int[] a = F.Create();
  103. int[] b = F.Create();
  104. F.Apm(x, z, a, b);
  105. F.Sqr(a, a);
  106. F.Sqr(b, b);
  107. F.Mul(a, b, x);
  108. F.Sub(a, b, a);
  109. F.Mul(a, C_A24, z);
  110. F.Add(z, b, z);
  111. F.Mul(z, a, z);
  112. }
  113. public static void Precompute()
  114. {
  115. Ed25519.Precompute();
  116. }
  117. public static void ScalarMult(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff)
  118. {
  119. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  120. ScalarMult(k.AsSpan(kOff), u.AsSpan(uOff), r.AsSpan(rOff));
  121. #else
  122. uint[] n = new uint[8]; DecodeScalar(k, kOff, n);
  123. int[] x1 = F.Create(); F.Decode(u, uOff, x1);
  124. int[] x2 = F.Create(); F.Copy(x1, 0, x2, 0);
  125. int[] z2 = F.Create(); z2[0] = 1;
  126. int[] x3 = F.Create(); x3[0] = 1;
  127. int[] z3 = F.Create();
  128. int[] t1 = F.Create();
  129. int[] t2 = F.Create();
  130. Debug.Assert(n[7] >> 30 == 1U);
  131. int bit = 254, swap = 1;
  132. do
  133. {
  134. F.Apm(x3, z3, t1, x3);
  135. F.Apm(x2, z2, z3, x2);
  136. F.Mul(t1, x2, t1);
  137. F.Mul(x3, z3, x3);
  138. F.Sqr(z3, z3);
  139. F.Sqr(x2, x2);
  140. F.Sub(z3, x2, t2);
  141. F.Mul(t2, C_A24, z2);
  142. F.Add(z2, x2, z2);
  143. F.Mul(z2, t2, z2);
  144. F.Mul(x2, z3, x2);
  145. F.Apm(t1, x3, x3, z3);
  146. F.Sqr(x3, x3);
  147. F.Sqr(z3, z3);
  148. F.Mul(z3, x1, z3);
  149. --bit;
  150. int word = bit >> 5, shift = bit & 0x1F;
  151. int kt = (int)(n[word] >> shift) & 1;
  152. swap ^= kt;
  153. F.CSwap(swap, x2, x3);
  154. F.CSwap(swap, z2, z3);
  155. swap = kt;
  156. }
  157. while (bit >= 3);
  158. Debug.Assert(swap == 0);
  159. for (int i = 0; i < 3; ++i)
  160. {
  161. PointDouble(x2, z2);
  162. }
  163. F.Inv(z2, z2);
  164. F.Mul(x2, z2, x2);
  165. F.Normalize(x2);
  166. F.Encode(x2, r, rOff);
  167. #endif
  168. }
  169. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  170. public static void ScalarMult(ReadOnlySpan<byte> k, ReadOnlySpan<byte> u, Span<byte> r)
  171. {
  172. uint[] n = new uint[8]; DecodeScalar(k, n);
  173. int[] x1 = F.Create(); F.Decode(u, x1);
  174. int[] x2 = F.Create(); F.Copy(x1, 0, x2, 0);
  175. int[] z2 = F.Create(); z2[0] = 1;
  176. int[] x3 = F.Create(); x3[0] = 1;
  177. int[] z3 = F.Create();
  178. int[] t1 = F.Create();
  179. int[] t2 = F.Create();
  180. Debug.Assert(n[7] >> 30 == 1U);
  181. int bit = 254, swap = 1;
  182. do
  183. {
  184. F.Apm(x3, z3, t1, x3);
  185. F.Apm(x2, z2, z3, x2);
  186. F.Mul(t1, x2, t1);
  187. F.Mul(x3, z3, x3);
  188. F.Sqr(z3, z3);
  189. F.Sqr(x2, x2);
  190. F.Sub(z3, x2, t2);
  191. F.Mul(t2, C_A24, z2);
  192. F.Add(z2, x2, z2);
  193. F.Mul(z2, t2, z2);
  194. F.Mul(x2, z3, x2);
  195. F.Apm(t1, x3, x3, z3);
  196. F.Sqr(x3, x3);
  197. F.Sqr(z3, z3);
  198. F.Mul(z3, x1, z3);
  199. --bit;
  200. int word = bit >> 5, shift = bit & 0x1F;
  201. int kt = (int)(n[word] >> shift) & 1;
  202. swap ^= kt;
  203. F.CSwap(swap, x2, x3);
  204. F.CSwap(swap, z2, z3);
  205. swap = kt;
  206. }
  207. while (bit >= 3);
  208. Debug.Assert(swap == 0);
  209. for (int i = 0; i < 3; ++i)
  210. {
  211. PointDouble(x2, z2);
  212. }
  213. F.Inv(z2, z2);
  214. F.Mul(x2, z2, x2);
  215. F.Normalize(x2);
  216. F.Encode(x2, r);
  217. }
  218. #endif
  219. public static void ScalarMultBase(byte[] k, int kOff, byte[] r, int rOff)
  220. {
  221. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  222. ScalarMultBase(k.AsSpan(kOff), r.AsSpan(rOff));
  223. #else
  224. int[] y = F.Create();
  225. int[] z = F.Create();
  226. Ed25519.ScalarMultBaseYZ(k, kOff, y, z);
  227. F.Apm(z, y, y, z);
  228. F.Inv(z, z);
  229. F.Mul(y, z, y);
  230. F.Normalize(y);
  231. F.Encode(y, r, rOff);
  232. #endif
  233. }
  234. #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || UNITY_2021_2_OR_NEWER
  235. public static void ScalarMultBase(ReadOnlySpan<byte> k, Span<byte> r)
  236. {
  237. int[] y = F.Create();
  238. int[] z = F.Create();
  239. Ed25519.ScalarMultBaseYZ(k, y, z);
  240. F.Apm(z, y, y, z);
  241. F.Inv(z, z);
  242. F.Mul(y, z, y);
  243. F.Normalize(y);
  244. F.Encode(y, r);
  245. }
  246. #endif
  247. }
  248. }
  249. #pragma warning restore
  250. #endif