Curve25519Field.cs 7.5 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 BestHTTP.SecureProtocol.Org.BouncyCastle.Crypto.Utilities;
  6. using BestHTTP.SecureProtocol.Org.BouncyCastle.Math.Raw;
  7. using BestHTTP.SecureProtocol.Org.BouncyCastle.Security;
  8. namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.Djb
  9. {
  10. internal class Curve25519Field
  11. {
  12. // 2^255 - 19
  13. internal static readonly uint[] P = new uint[]{ 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
  14. 0xFFFFFFFF, 0xFFFFFFFF, 0x7FFFFFFF };
  15. private const uint P7 = 0x7FFFFFFF;
  16. private static readonly uint[] PExt = new uint[]{ 0x00000169, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
  17. 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
  18. 0xFFFFFFFF, 0x3FFFFFFF };
  19. private const uint PInv = 0x13;
  20. public static void Add(uint[] x, uint[] y, uint[] z)
  21. {
  22. Nat256.Add(x, y, z);
  23. if (Nat256.Gte(z, P))
  24. {
  25. SubPFrom(z);
  26. }
  27. }
  28. public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
  29. {
  30. Nat.Add(16, xx, yy, zz);
  31. if (Nat.Gte(16, zz, PExt))
  32. {
  33. SubPExtFrom(zz);
  34. }
  35. }
  36. public static void AddOne(uint[] x, uint[] z)
  37. {
  38. Nat.Inc(8, x, z);
  39. if (Nat256.Gte(z, P))
  40. {
  41. SubPFrom(z);
  42. }
  43. }
  44. public static uint[] FromBigInteger(BigInteger x)
  45. {
  46. uint[] z = Nat.FromBigInteger(256, x);
  47. while (Nat256.Gte(z, P))
  48. {
  49. Nat256.SubFrom(P, z);
  50. }
  51. return z;
  52. }
  53. public static void Half(uint[] x, uint[] z)
  54. {
  55. if ((x[0] & 1) == 0)
  56. {
  57. Nat.ShiftDownBit(8, x, 0, z);
  58. }
  59. else
  60. {
  61. Nat256.Add(x, P, z);
  62. Nat.ShiftDownBit(8, z, 0);
  63. }
  64. }
  65. public static void Inv(uint[] x, uint[] z)
  66. {
  67. Mod.CheckedModOddInverse(P, x, z);
  68. }
  69. public static int IsZero(uint[] x)
  70. {
  71. uint d = 0;
  72. for (int i = 0; i < 8; ++i)
  73. {
  74. d |= x[i];
  75. }
  76. d = (d >> 1) | (d & 1);
  77. return ((int)d - 1) >> 31;
  78. }
  79. public static void Multiply(uint[] x, uint[] y, uint[] z)
  80. {
  81. uint[] tt = Nat256.CreateExt();
  82. Nat256.Mul(x, y, tt);
  83. Reduce(tt, z);
  84. }
  85. public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
  86. {
  87. Nat256.MulAddTo(x, y, zz);
  88. if (Nat.Gte(16, zz, PExt))
  89. {
  90. SubPExtFrom(zz);
  91. }
  92. }
  93. public static void Negate(uint[] x, uint[] z)
  94. {
  95. if (0 != IsZero(x))
  96. {
  97. Nat256.Sub(P, P, z);
  98. }
  99. else
  100. {
  101. Nat256.Sub(P, x, z);
  102. }
  103. }
  104. public static void Random(SecureRandom r, uint[] z)
  105. {
  106. byte[] bb = new byte[8 * 4];
  107. do
  108. {
  109. r.NextBytes(bb);
  110. Pack.LE_To_UInt32(bb, 0, z, 0, 8);
  111. z[7] &= P7;
  112. }
  113. while (0 == Nat.LessThan(8, z, P));
  114. }
  115. public static void RandomMult(SecureRandom r, uint[] z)
  116. {
  117. do
  118. {
  119. Random(r, z);
  120. }
  121. while (0 != IsZero(z));
  122. }
  123. public static void Reduce(uint[] xx, uint[] z)
  124. {
  125. Debug.Assert(xx[15] >> 30 == 0);
  126. uint xx07 = xx[7];
  127. Nat.ShiftUpBit(8, xx, 8, xx07, z, 0);
  128. uint c = Nat256.MulByWordAddTo(PInv, xx, z) << 1;
  129. uint z7 = z[7];
  130. c += (z7 >> 31) - (xx07 >> 31);
  131. z7 &= P7;
  132. z7 += Nat.AddWordTo(7, c * PInv, z);
  133. z[7] = z7;
  134. if (z7 >= P7 && Nat256.Gte(z, P))
  135. {
  136. SubPFrom(z);
  137. }
  138. }
  139. public static void Reduce27(uint x, uint[] z)
  140. {
  141. Debug.Assert(x >> 26 == 0);
  142. uint z7 = z[7];
  143. uint c = (x << 1 | z7 >> 31);
  144. z7 &= P7;
  145. z7 += Nat.AddWordTo(7, c * PInv, z);
  146. z[7] = z7;
  147. if (z7 >= P7 && Nat256.Gte(z, P))
  148. {
  149. SubPFrom(z);
  150. }
  151. }
  152. public static void Square(uint[] x, uint[] z)
  153. {
  154. uint[] tt = Nat256.CreateExt();
  155. Nat256.Square(x, tt);
  156. Reduce(tt, z);
  157. }
  158. public static void SquareN(uint[] x, int n, uint[] z)
  159. {
  160. Debug.Assert(n > 0);
  161. uint[] tt = Nat256.CreateExt();
  162. Nat256.Square(x, tt);
  163. Reduce(tt, z);
  164. while (--n > 0)
  165. {
  166. Nat256.Square(z, tt);
  167. Reduce(tt, z);
  168. }
  169. }
  170. public static void Subtract(uint[] x, uint[] y, uint[] z)
  171. {
  172. int c = Nat256.Sub(x, y, z);
  173. if (c != 0)
  174. {
  175. AddPTo(z);
  176. }
  177. }
  178. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  179. {
  180. int c = Nat.Sub(16, xx, yy, zz);
  181. if (c != 0)
  182. {
  183. AddPExtTo(zz);
  184. }
  185. }
  186. public static void Twice(uint[] x, uint[] z)
  187. {
  188. Nat.ShiftUpBit(8, x, 0, z);
  189. if (Nat256.Gte(z, P))
  190. {
  191. SubPFrom(z);
  192. }
  193. }
  194. private static uint AddPTo(uint[] z)
  195. {
  196. long c = (long)z[0] - PInv;
  197. z[0] = (uint)c;
  198. c >>= 32;
  199. if (c != 0)
  200. {
  201. c = Nat.DecAt(7, z, 1);
  202. }
  203. c += (long)z[7] + (P7 + 1);
  204. z[7] = (uint)c;
  205. c >>= 32;
  206. return (uint)c;
  207. }
  208. private static uint AddPExtTo(uint[] zz)
  209. {
  210. long c = (long)zz[0] + PExt[0];
  211. zz[0] = (uint)c;
  212. c >>= 32;
  213. if (c != 0)
  214. {
  215. c = Nat.IncAt(8, zz, 1);
  216. }
  217. c += (long)zz[8] - PInv;
  218. zz[8] = (uint)c;
  219. c >>= 32;
  220. if (c != 0)
  221. {
  222. c = Nat.DecAt(15, zz, 9);
  223. }
  224. c += (long)zz[15] + (PExt[15] + 1);
  225. zz[15] = (uint)c;
  226. c >>= 32;
  227. return (uint)c;
  228. }
  229. private static int SubPFrom(uint[] z)
  230. {
  231. long c = (long)z[0] + PInv;
  232. z[0] = (uint)c;
  233. c >>= 32;
  234. if (c != 0)
  235. {
  236. c = Nat.IncAt(7, z, 1);
  237. }
  238. c += (long)z[7] - (P7 + 1);
  239. z[7] = (uint)c;
  240. c >>= 32;
  241. return (int)c;
  242. }
  243. private static int SubPExtFrom(uint[] zz)
  244. {
  245. long c = (long)zz[0] - PExt[0];
  246. zz[0] = (uint)c;
  247. c >>= 32;
  248. if (c != 0)
  249. {
  250. c = Nat.DecAt(8, zz, 1);
  251. }
  252. c += (long)zz[8] + PInv;
  253. zz[8] = (uint)c;
  254. c >>= 32;
  255. if (c != 0)
  256. {
  257. c = Nat.IncAt(15, zz, 9);
  258. }
  259. c += (long)zz[15] - (PExt[15] + 1);
  260. zz[15] = (uint)c;
  261. c >>= 32;
  262. return (int)c;
  263. }
  264. }
  265. }
  266. #pragma warning restore
  267. #endif