SM2P256V1Field.cs 8.4 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.Math.Raw;
  6. namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.GM
  7. {
  8. internal class SM2P256V1Field
  9. {
  10. // 2^256 - 2^224 - 2^96 + 2^64 - 1
  11. internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
  12. 0xFFFFFFFF, 0xFFFFFFFE };
  13. internal static readonly uint[] PExt = new uint[]{ 00000001, 0x00000000, 0xFFFFFFFE, 0x00000001, 0x00000001,
  14. 0xFFFFFFFE, 0x00000000, 0x00000002, 0xFFFFFFFE, 0xFFFFFFFD, 0x00000003, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF,
  15. 0x00000000, 0xFFFFFFFE };
  16. internal const uint P7 = 0xFFFFFFFE;
  17. internal const uint PExt15 = 0xFFFFFFFE;
  18. public static void Add(uint[] x, uint[] y, uint[] z)
  19. {
  20. uint c = Nat256.Add(x, y, z);
  21. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  22. {
  23. AddPInvTo(z);
  24. }
  25. }
  26. public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
  27. {
  28. uint c = Nat.Add(16, xx, yy, zz);
  29. if (c != 0 || (zz[15] >= PExt15 && Nat.Gte(16, zz, PExt)))
  30. {
  31. Nat.SubFrom(16, PExt, zz);
  32. }
  33. }
  34. public static void AddOne(uint[] x, uint[] z)
  35. {
  36. uint c = Nat.Inc(8, x, z);
  37. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  38. {
  39. AddPInvTo(z);
  40. }
  41. }
  42. public static uint[] FromBigInteger(BigInteger x)
  43. {
  44. uint[] z = Nat256.FromBigInteger(x);
  45. if (z[7] >= P7 && Nat256.Gte(z, P))
  46. {
  47. Nat256.SubFrom(P, z);
  48. }
  49. return z;
  50. }
  51. public static void Half(uint[] x, uint[] z)
  52. {
  53. if ((x[0] & 1) == 0)
  54. {
  55. Nat.ShiftDownBit(8, x, 0, z);
  56. }
  57. else
  58. {
  59. uint c = Nat256.Add(x, P, z);
  60. Nat.ShiftDownBit(8, z, c);
  61. }
  62. }
  63. public static void Multiply(uint[] x, uint[] y, uint[] z)
  64. {
  65. uint[] tt = Nat256.CreateExt();
  66. Nat256.Mul(x, y, tt);
  67. Reduce(tt, z);
  68. }
  69. public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
  70. {
  71. uint c = Nat256.MulAddTo(x, y, zz);
  72. if (c != 0 || (zz[15] >= PExt15 && Nat.Gte(16, zz, PExt)))
  73. {
  74. Nat.SubFrom(16, PExt, zz);
  75. }
  76. }
  77. public static void Negate(uint[] x, uint[] z)
  78. {
  79. if (Nat256.IsZero(x))
  80. {
  81. Nat256.Zero(z);
  82. }
  83. else
  84. {
  85. Nat256.Sub(P, x, z);
  86. }
  87. }
  88. public static void Reduce(uint[] xx, uint[] z)
  89. {
  90. long xx08 = xx[8], xx09 = xx[9], xx10 = xx[10], xx11 = xx[11];
  91. long xx12 = xx[12], xx13 = xx[13], xx14 = xx[14], xx15 = xx[15];
  92. long t0 = xx08 + xx09;
  93. long t1 = xx10 + xx11;
  94. long t2 = xx12 + xx15;
  95. long t3 = xx13 + xx14;
  96. long t4 = t3 + (xx15 << 1);
  97. long ts = t0 + t3;
  98. long tt = t1 + t2 + ts;
  99. long cc = 0;
  100. cc += (long)xx[0] + tt + xx13 + xx14 + xx15;
  101. z[0] = (uint)cc;
  102. cc >>= 32;
  103. cc += (long)xx[1] + tt - xx08 + xx14 + xx15;
  104. z[1] = (uint)cc;
  105. cc >>= 32;
  106. cc += (long)xx[2] - ts;
  107. z[2] = (uint)cc;
  108. cc >>= 32;
  109. cc += (long)xx[3] + tt - xx09 - xx10 + xx13;
  110. z[3] = (uint)cc;
  111. cc >>= 32;
  112. cc += (long)xx[4] + tt - t1 - xx08 + xx14;
  113. z[4] = (uint)cc;
  114. cc >>= 32;
  115. cc += (long)xx[5] + t4 + xx10;
  116. z[5] = (uint)cc;
  117. cc >>= 32;
  118. cc += (long)xx[6] + xx11 + xx14 + xx15;
  119. z[6] = (uint)cc;
  120. cc >>= 32;
  121. cc += (long)xx[7] + tt + t4 + xx12;
  122. z[7] = (uint)cc;
  123. cc >>= 32;
  124. Debug.Assert(cc >= 0);
  125. Reduce32((uint)cc, z);
  126. }
  127. public static void Reduce32(uint x, uint[] z)
  128. {
  129. long cc = 0;
  130. if (x != 0)
  131. {
  132. long xx08 = x;
  133. cc += (long)z[0] + xx08;
  134. z[0] = (uint)cc;
  135. cc >>= 32;
  136. if (cc != 0)
  137. {
  138. cc += (long)z[1];
  139. z[1] = (uint)cc;
  140. cc >>= 32;
  141. }
  142. cc += (long)z[2] - xx08;
  143. z[2] = (uint)cc;
  144. cc >>= 32;
  145. cc += (long)z[3] + xx08;
  146. z[3] = (uint)cc;
  147. cc >>= 32;
  148. if (cc != 0)
  149. {
  150. cc += (long)z[4];
  151. z[4] = (uint)cc;
  152. cc >>= 32;
  153. cc += (long)z[5];
  154. z[5] = (uint)cc;
  155. cc >>= 32;
  156. cc += (long)z[6];
  157. z[6] = (uint)cc;
  158. cc >>= 32;
  159. }
  160. cc += (long)z[7] + xx08;
  161. z[7] = (uint)cc;
  162. cc >>= 32;
  163. Debug.Assert(cc == 0 || cc == 1);
  164. }
  165. if (cc != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  166. {
  167. AddPInvTo(z);
  168. }
  169. }
  170. public static void Square(uint[] x, uint[] z)
  171. {
  172. uint[] tt = Nat256.CreateExt();
  173. Nat256.Square(x, tt);
  174. Reduce(tt, z);
  175. }
  176. public static void SquareN(uint[] x, int n, uint[] z)
  177. {
  178. Debug.Assert(n > 0);
  179. uint[] tt = Nat256.CreateExt();
  180. Nat256.Square(x, tt);
  181. Reduce(tt, z);
  182. while (--n > 0)
  183. {
  184. Nat256.Square(z, tt);
  185. Reduce(tt, z);
  186. }
  187. }
  188. public static void Subtract(uint[] x, uint[] y, uint[] z)
  189. {
  190. int c = Nat256.Sub(x, y, z);
  191. if (c != 0)
  192. {
  193. SubPInvFrom(z);
  194. }
  195. }
  196. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  197. {
  198. int c = Nat.Sub(16, xx, yy, zz);
  199. if (c != 0)
  200. {
  201. Nat.AddTo(16, PExt, zz);
  202. }
  203. }
  204. public static void Twice(uint[] x, uint[] z)
  205. {
  206. uint c = Nat.ShiftUpBit(8, x, 0, z);
  207. if (c != 0 || (z[7] >= P7 && Nat256.Gte(z, P)))
  208. {
  209. AddPInvTo(z);
  210. }
  211. }
  212. private static void AddPInvTo(uint[] z)
  213. {
  214. long c = (long)z[0] + 1;
  215. z[0] = (uint)c;
  216. c >>= 32;
  217. if (c != 0)
  218. {
  219. c += (long)z[1];
  220. z[1] = (uint)c;
  221. c >>= 32;
  222. }
  223. c += (long)z[2] - 1;
  224. z[2] = (uint)c;
  225. c >>= 32;
  226. c += (long)z[3] + 1;
  227. z[3] = (uint)c;
  228. c >>= 32;
  229. if (c != 0)
  230. {
  231. c += (long)z[4];
  232. z[4] = (uint)c;
  233. c >>= 32;
  234. c += (long)z[5];
  235. z[5] = (uint)c;
  236. c >>= 32;
  237. c += (long)z[6];
  238. z[6] = (uint)c;
  239. c >>= 32;
  240. }
  241. c += (long)z[7] + 1;
  242. z[7] = (uint)c;
  243. //c >>= 32;
  244. }
  245. private static void SubPInvFrom(uint[] z)
  246. {
  247. long c = (long)z[0] - 1;
  248. z[0] = (uint)c;
  249. c >>= 32;
  250. if (c != 0)
  251. {
  252. c += (long)z[1];
  253. z[1] = (uint)c;
  254. c >>= 32;
  255. }
  256. c += (long)z[2] + 1;
  257. z[2] = (uint)c;
  258. c >>= 32;
  259. c += (long)z[3] - 1;
  260. z[3] = (uint)c;
  261. c >>= 32;
  262. if (c != 0)
  263. {
  264. c += (long)z[4];
  265. z[4] = (uint)c;
  266. c >>= 32;
  267. c += (long)z[5];
  268. z[5] = (uint)c;
  269. c >>= 32;
  270. c += (long)z[6];
  271. z[6] = (uint)c;
  272. c >>= 32;
  273. }
  274. c += (long)z[7] - 1;
  275. z[7] = (uint)c;
  276. //c >>= 32;
  277. }
  278. }
  279. }
  280. #pragma warning restore
  281. #endif