SecP384R1Field.cs 9.6 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.Sec
  9. {
  10. internal class SecP384R1Field
  11. {
  12. // 2^384 - 2^128 - 2^96 + 2^32 - 1
  13. internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE,
  14. 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
  15. private static readonly uint[] PExt = new uint[]{ 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000,
  16. 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFE, 0x00000001,
  17. 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
  18. 0xFFFFFFFF };
  19. private static readonly uint[] PExtInv = new uint[]{ 0xFFFFFFFF, 0x00000001, 0xFFFFFFFF, 0xFFFFFFFD,
  20. 0xFFFFFFFF, 0x00000001, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001,
  21. 0xFFFFFFFE, 0xFFFFFFFF, 0x00000001, 0x00000002 };
  22. private const uint P11 = 0xFFFFFFFF;
  23. private const uint PExt23 = 0xFFFFFFFF;
  24. public static void Add(uint[] x, uint[] y, uint[] z)
  25. {
  26. uint c = Nat.Add(12, x, y, z);
  27. if (c != 0 || (z[11] == P11 && Nat.Gte(12, z, P)))
  28. {
  29. AddPInvTo(z);
  30. }
  31. }
  32. public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
  33. {
  34. uint c = Nat.Add(24, xx, yy, zz);
  35. if (c != 0 || (zz[23] == PExt23 && Nat.Gte(24, zz, PExt)))
  36. {
  37. if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
  38. {
  39. Nat.IncAt(24, zz, PExtInv.Length);
  40. }
  41. }
  42. }
  43. public static void AddOne(uint[] x, uint[] z)
  44. {
  45. uint c = Nat.Inc(12, x, z);
  46. if (c != 0 || (z[11] == P11 && Nat.Gte(12, z, P)))
  47. {
  48. AddPInvTo(z);
  49. }
  50. }
  51. public static uint[] FromBigInteger(BigInteger x)
  52. {
  53. uint[] z = Nat.FromBigInteger(384, x);
  54. if (z[11] == P11 && Nat.Gte(12, z, P))
  55. {
  56. Nat.SubFrom(12, P, z);
  57. }
  58. return z;
  59. }
  60. public static void Half(uint[] x, uint[] z)
  61. {
  62. if ((x[0] & 1) == 0)
  63. {
  64. Nat.ShiftDownBit(12, x, 0, z);
  65. }
  66. else
  67. {
  68. uint c = Nat.Add(12, x, P, z);
  69. Nat.ShiftDownBit(12, z, c);
  70. }
  71. }
  72. public static void Inv(uint[] x, uint[] z)
  73. {
  74. Mod.CheckedModOddInverse(P, x, z);
  75. }
  76. public static int IsZero(uint[] x)
  77. {
  78. uint d = 0;
  79. for (int i = 0; i < 12; ++i)
  80. {
  81. d |= x[i];
  82. }
  83. d = (d >> 1) | (d & 1);
  84. return ((int)d - 1) >> 31;
  85. }
  86. public static void Multiply(uint[] x, uint[] y, uint[] z)
  87. {
  88. uint[] tt = Nat.Create(24);
  89. Nat384.Mul(x, y, tt);
  90. Reduce(tt, z);
  91. }
  92. public static void Negate(uint[] x, uint[] z)
  93. {
  94. if (0 != IsZero(x))
  95. {
  96. Nat.Sub(12, P, P, z);
  97. }
  98. else
  99. {
  100. Nat.Sub(12, P, x, z);
  101. }
  102. }
  103. public static void Random(SecureRandom r, uint[] z)
  104. {
  105. byte[] bb = new byte[12 * 4];
  106. do
  107. {
  108. r.NextBytes(bb);
  109. Pack.LE_To_UInt32(bb, 0, z, 0, 12);
  110. }
  111. while (0 == Nat.LessThan(12, z, P));
  112. }
  113. public static void RandomMult(SecureRandom r, uint[] z)
  114. {
  115. do
  116. {
  117. Random(r, z);
  118. }
  119. while (0 != IsZero(z));
  120. }
  121. public static void Reduce(uint[] xx, uint[] z)
  122. {
  123. long xx16 = xx[16], xx17 = xx[17], xx18 = xx[18], xx19 = xx[19];
  124. long xx20 = xx[20], xx21 = xx[21], xx22 = xx[22], xx23 = xx[23];
  125. const long n = 1;
  126. long t0 = (long)xx[12] + xx20 - n;
  127. long t1 = (long)xx[13] + xx22;
  128. long t2 = (long)xx[14] + xx22 + xx23;
  129. long t3 = (long)xx[15] + xx23;
  130. long t4 = xx17 + xx21;
  131. long t5 = xx21 - xx23;
  132. long t6 = xx22 - xx23;
  133. long t7 = t0 + t5;
  134. long cc = 0;
  135. cc += (long)xx[0] + t7;
  136. z[0] = (uint)cc;
  137. cc >>= 32;
  138. cc += (long)xx[1] + xx23 - t0 + t1;
  139. z[1] = (uint)cc;
  140. cc >>= 32;
  141. cc += (long)xx[2] - xx21 - t1 + t2;
  142. z[2] = (uint)cc;
  143. cc >>= 32;
  144. cc += (long)xx[3] - t2 + t3 + t7;
  145. z[3] = (uint)cc;
  146. cc >>= 32;
  147. cc += (long)xx[4] + xx16 + xx21 + t1 - t3 + t7;
  148. z[4] = (uint)cc;
  149. cc >>= 32;
  150. cc += (long)xx[5] - xx16 + t1 + t2 + t4;
  151. z[5] = (uint)cc;
  152. cc >>= 32;
  153. cc += (long)xx[6] + xx18 - xx17 + t2 + t3;
  154. z[6] = (uint)cc;
  155. cc >>= 32;
  156. cc += (long)xx[7] + xx16 + xx19 - xx18 + t3;
  157. z[7] = (uint)cc;
  158. cc >>= 32;
  159. cc += (long)xx[8] + xx16 + xx17 + xx20 - xx19;
  160. z[8] = (uint)cc;
  161. cc >>= 32;
  162. cc += (long)xx[9] + xx18 - xx20 + t4;
  163. z[9] = (uint)cc;
  164. cc >>= 32;
  165. cc += (long)xx[10] + xx18 + xx19 - t5 + t6;
  166. z[10] = (uint)cc;
  167. cc >>= 32;
  168. cc += (long)xx[11] + xx19 + xx20 - t6;
  169. z[11] = (uint)cc;
  170. cc >>= 32;
  171. cc += n;
  172. Debug.Assert(cc >= 0);
  173. Reduce32((uint)cc, z);
  174. }
  175. public static void Reduce32(uint x, uint[] z)
  176. {
  177. long cc = 0;
  178. if (x != 0)
  179. {
  180. long xx12 = x;
  181. cc += (long)z[0] + xx12;
  182. z[0] = (uint)cc;
  183. cc >>= 32;
  184. cc += (long)z[1] - xx12;
  185. z[1] = (uint)cc;
  186. cc >>= 32;
  187. if (cc != 0)
  188. {
  189. cc += (long)z[2];
  190. z[2] = (uint)cc;
  191. cc >>= 32;
  192. }
  193. cc += (long)z[3] + xx12;
  194. z[3] = (uint)cc;
  195. cc >>= 32;
  196. cc += (long)z[4] + xx12;
  197. z[4] = (uint)cc;
  198. cc >>= 32;
  199. Debug.Assert(cc == 0 || cc == 1);
  200. }
  201. if ((cc != 0 && Nat.IncAt(12, z, 5) != 0)
  202. || (z[11] == P11 && Nat.Gte(12, z, P)))
  203. {
  204. AddPInvTo(z);
  205. }
  206. }
  207. public static void Square(uint[] x, uint[] z)
  208. {
  209. uint[] tt = Nat.Create(24);
  210. Nat384.Square(x, tt);
  211. Reduce(tt, z);
  212. }
  213. public static void SquareN(uint[] x, int n, uint[] z)
  214. {
  215. Debug.Assert(n > 0);
  216. uint[] tt = Nat.Create(24);
  217. Nat384.Square(x, tt);
  218. Reduce(tt, z);
  219. while (--n > 0)
  220. {
  221. Nat384.Square(z, tt);
  222. Reduce(tt, z);
  223. }
  224. }
  225. public static void Subtract(uint[] x, uint[] y, uint[] z)
  226. {
  227. int c = Nat.Sub(12, x, y, z);
  228. if (c != 0)
  229. {
  230. SubPInvFrom(z);
  231. }
  232. }
  233. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  234. {
  235. int c = Nat.Sub(24, xx, yy, zz);
  236. if (c != 0)
  237. {
  238. if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0)
  239. {
  240. Nat.DecAt(24, zz, PExtInv.Length);
  241. }
  242. }
  243. }
  244. public static void Twice(uint[] x, uint[] z)
  245. {
  246. uint c = Nat.ShiftUpBit(12, x, 0, z);
  247. if (c != 0 || (z[11] == P11 && Nat.Gte(12, z, P)))
  248. {
  249. AddPInvTo(z);
  250. }
  251. }
  252. private static void AddPInvTo(uint[] z)
  253. {
  254. long c = (long)z[0] + 1;
  255. z[0] = (uint)c;
  256. c >>= 32;
  257. c += (long)z[1] - 1;
  258. z[1] = (uint)c;
  259. c >>= 32;
  260. if (c != 0)
  261. {
  262. c += (long)z[2];
  263. z[2] = (uint)c;
  264. c >>= 32;
  265. }
  266. c += (long)z[3] + 1;
  267. z[3] = (uint)c;
  268. c >>= 32;
  269. c += (long)z[4] + 1;
  270. z[4] = (uint)c;
  271. c >>= 32;
  272. if (c != 0)
  273. {
  274. Nat.IncAt(12, z, 5);
  275. }
  276. }
  277. private static void SubPInvFrom(uint[] z)
  278. {
  279. long c = (long)z[0] - 1;
  280. z[0] = (uint)c;
  281. c >>= 32;
  282. c += (long)z[1] + 1;
  283. z[1] = (uint)c;
  284. c >>= 32;
  285. if (c != 0)
  286. {
  287. c += (long)z[2];
  288. z[2] = (uint)c;
  289. c >>= 32;
  290. }
  291. c += (long)z[3] - 1;
  292. z[3] = (uint)c;
  293. c >>= 32;
  294. c += (long)z[4] - 1;
  295. z[4] = (uint)c;
  296. c >>= 32;
  297. if (c != 0)
  298. {
  299. Nat.DecAt(12, z, 5);
  300. }
  301. }
  302. }
  303. }
  304. #pragma warning restore
  305. #endif