SM2P256V1Field.cs 9.4 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.GM
  9. {
  10. internal class SM2P256V1Field
  11. {
  12. // 2^256 - 2^224 - 2^96 + 2^64 - 1
  13. internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF,
  14. 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE };
  15. private static readonly uint[] PExt = new uint[]{ 00000001, 0x00000000, 0xFFFFFFFE, 0x00000001, 0x00000001,
  16. 0xFFFFFFFE, 0x00000000, 0x00000002, 0xFFFFFFFE, 0xFFFFFFFD, 0x00000003, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF,
  17. 0x00000000, 0xFFFFFFFE };
  18. private const uint P7 = 0xFFFFFFFE;
  19. private const uint PExt15 = 0xFFFFFFFE;
  20. public static void Add(uint[] x, uint[] y, uint[] z)
  21. {
  22. uint c = Nat256.Add(x, y, z);
  23. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  24. {
  25. AddPInvTo(z);
  26. }
  27. }
  28. public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
  29. {
  30. uint c = Nat.Add(16, xx, yy, zz);
  31. if (c != 0 || (zz[15] >= PExt15 && Nat.Gte(16, zz, PExt)))
  32. {
  33. Nat.SubFrom(16, PExt, zz);
  34. }
  35. }
  36. public static void AddOne(uint[] x, uint[] z)
  37. {
  38. uint c = Nat.Inc(8, x, z);
  39. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  40. {
  41. AddPInvTo(z);
  42. }
  43. }
  44. public static uint[] FromBigInteger(BigInteger x)
  45. {
  46. uint[] z = Nat.FromBigInteger(256, x);
  47. if (z[7] >= P7 && Nat256.Gte(z, P))
  48. {
  49. Nat256.SubFrom(P, z);
  50. }
  51. return z;
  52. }
  53. public static void Inv(uint[] x, uint[] z)
  54. {
  55. Mod.CheckedModOddInverse(P, x, z);
  56. }
  57. public static void Half(uint[] x, uint[] z)
  58. {
  59. if ((x[0] & 1) == 0)
  60. {
  61. Nat.ShiftDownBit(8, x, 0, z);
  62. }
  63. else
  64. {
  65. uint c = Nat256.Add(x, P, z);
  66. Nat.ShiftDownBit(8, z, c);
  67. }
  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. uint c = Nat256.MulAddTo(x, y, zz);
  88. if (c != 0 || (zz[15] >= PExt15 && Nat.Gte(16, zz, PExt)))
  89. {
  90. Nat.SubFrom(16, PExt, 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. }
  112. while (0 == Nat.LessThan(8, z, P));
  113. }
  114. public static void RandomMult(SecureRandom r, uint[] z)
  115. {
  116. do
  117. {
  118. Random(r, z);
  119. }
  120. while (0 != IsZero(z));
  121. }
  122. public static void Reduce(uint[] xx, uint[] z)
  123. {
  124. long xx08 = xx[8], xx09 = xx[9], xx10 = xx[10], xx11 = xx[11];
  125. long xx12 = xx[12], xx13 = xx[13], xx14 = xx[14], xx15 = xx[15];
  126. long t0 = xx08 + xx09;
  127. long t1 = xx10 + xx11;
  128. long t2 = xx12 + xx15;
  129. long t3 = xx13 + xx14;
  130. long t4 = t3 + (xx15 << 1);
  131. long ts = t0 + t3;
  132. long tt = t1 + t2 + ts;
  133. long cc = 0;
  134. cc += (long)xx[0] + tt + xx13 + xx14 + xx15;
  135. z[0] = (uint)cc;
  136. cc >>= 32;
  137. cc += (long)xx[1] + tt - xx08 + xx14 + xx15;
  138. z[1] = (uint)cc;
  139. cc >>= 32;
  140. cc += (long)xx[2] - ts;
  141. z[2] = (uint)cc;
  142. cc >>= 32;
  143. cc += (long)xx[3] + tt - xx09 - xx10 + xx13;
  144. z[3] = (uint)cc;
  145. cc >>= 32;
  146. cc += (long)xx[4] + tt - t1 - xx08 + xx14;
  147. z[4] = (uint)cc;
  148. cc >>= 32;
  149. cc += (long)xx[5] + t4 + xx10;
  150. z[5] = (uint)cc;
  151. cc >>= 32;
  152. cc += (long)xx[6] + xx11 + xx14 + xx15;
  153. z[6] = (uint)cc;
  154. cc >>= 32;
  155. cc += (long)xx[7] + tt + t4 + xx12;
  156. z[7] = (uint)cc;
  157. cc >>= 32;
  158. Debug.Assert(cc >= 0);
  159. Reduce32((uint)cc, z);
  160. }
  161. public static void Reduce32(uint x, uint[] z)
  162. {
  163. long cc = 0;
  164. if (x != 0)
  165. {
  166. long xx08 = x;
  167. cc += (long)z[0] + xx08;
  168. z[0] = (uint)cc;
  169. cc >>= 32;
  170. if (cc != 0)
  171. {
  172. cc += (long)z[1];
  173. z[1] = (uint)cc;
  174. cc >>= 32;
  175. }
  176. cc += (long)z[2] - xx08;
  177. z[2] = (uint)cc;
  178. cc >>= 32;
  179. cc += (long)z[3] + xx08;
  180. z[3] = (uint)cc;
  181. cc >>= 32;
  182. if (cc != 0)
  183. {
  184. cc += (long)z[4];
  185. z[4] = (uint)cc;
  186. cc >>= 32;
  187. cc += (long)z[5];
  188. z[5] = (uint)cc;
  189. cc >>= 32;
  190. cc += (long)z[6];
  191. z[6] = (uint)cc;
  192. cc >>= 32;
  193. }
  194. cc += (long)z[7] + xx08;
  195. z[7] = (uint)cc;
  196. cc >>= 32;
  197. Debug.Assert(cc == 0 || cc == 1);
  198. }
  199. if (cc != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  200. {
  201. AddPInvTo(z);
  202. }
  203. }
  204. public static void Square(uint[] x, uint[] z)
  205. {
  206. uint[] tt = Nat256.CreateExt();
  207. Nat256.Square(x, tt);
  208. Reduce(tt, z);
  209. }
  210. public static void SquareN(uint[] x, int n, uint[] z)
  211. {
  212. Debug.Assert(n > 0);
  213. uint[] tt = Nat256.CreateExt();
  214. Nat256.Square(x, tt);
  215. Reduce(tt, z);
  216. while (--n > 0)
  217. {
  218. Nat256.Square(z, tt);
  219. Reduce(tt, z);
  220. }
  221. }
  222. public static void Subtract(uint[] x, uint[] y, uint[] z)
  223. {
  224. int c = Nat256.Sub(x, y, z);
  225. if (c != 0)
  226. {
  227. SubPInvFrom(z);
  228. }
  229. }
  230. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  231. {
  232. int c = Nat.Sub(16, xx, yy, zz);
  233. if (c != 0)
  234. {
  235. Nat.AddTo(16, PExt, zz);
  236. }
  237. }
  238. public static void Twice(uint[] x, uint[] z)
  239. {
  240. uint c = Nat.ShiftUpBit(8, x, 0, z);
  241. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  242. {
  243. AddPInvTo(z);
  244. }
  245. }
  246. private static void AddPInvTo(uint[] z)
  247. {
  248. long c = (long)z[0] + 1;
  249. z[0] = (uint)c;
  250. c >>= 32;
  251. if (c != 0)
  252. {
  253. c += (long)z[1];
  254. z[1] = (uint)c;
  255. c >>= 32;
  256. }
  257. c += (long)z[2] - 1;
  258. z[2] = (uint)c;
  259. c >>= 32;
  260. c += (long)z[3] + 1;
  261. z[3] = (uint)c;
  262. c >>= 32;
  263. if (c != 0)
  264. {
  265. c += (long)z[4];
  266. z[4] = (uint)c;
  267. c >>= 32;
  268. c += (long)z[5];
  269. z[5] = (uint)c;
  270. c >>= 32;
  271. c += (long)z[6];
  272. z[6] = (uint)c;
  273. c >>= 32;
  274. }
  275. c += (long)z[7] + 1;
  276. z[7] = (uint)c;
  277. //c >>= 32;
  278. }
  279. private static void SubPInvFrom(uint[] z)
  280. {
  281. long c = (long)z[0] - 1;
  282. z[0] = (uint)c;
  283. c >>= 32;
  284. if (c != 0)
  285. {
  286. c += (long)z[1];
  287. z[1] = (uint)c;
  288. c >>= 32;
  289. }
  290. c += (long)z[2] + 1;
  291. z[2] = (uint)c;
  292. c >>= 32;
  293. c += (long)z[3] - 1;
  294. z[3] = (uint)c;
  295. c >>= 32;
  296. if (c != 0)
  297. {
  298. c += (long)z[4];
  299. z[4] = (uint)c;
  300. c >>= 32;
  301. c += (long)z[5];
  302. z[5] = (uint)c;
  303. c >>= 32;
  304. c += (long)z[6];
  305. z[6] = (uint)c;
  306. c >>= 32;
  307. }
  308. c += (long)z[7] - 1;
  309. z[7] = (uint)c;
  310. //c >>= 32;
  311. }
  312. }
  313. }
  314. #pragma warning restore
  315. #endif