SecP192R1Field.cs 7.6 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.Math.Raw;
  6. namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.Sec
  7. {
  8. internal class SecP192R1Field
  9. {
  10. // 2^192 - 2^64 - 1
  11. internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
  12. internal static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001,
  13. 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
  14. private static readonly uint[] PExtInv = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFE,
  15. 0xFFFFFFFF, 0x00000001, 0x00000000, 0x00000002 };
  16. private const uint P5 = 0xFFFFFFFF;
  17. private const uint PExt11 = 0xFFFFFFFF;
  18. public static void Add(uint[] x, uint[] y, uint[] z)
  19. {
  20. uint c = Nat192.Add(x, y, z);
  21. if (c != 0 || (z[5] == P5 && Nat192.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(12, xx, yy, zz);
  29. if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt)))
  30. {
  31. if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
  32. {
  33. Nat.IncAt(12, zz, PExtInv.Length);
  34. }
  35. }
  36. }
  37. public static void AddOne(uint[] x, uint[] z)
  38. {
  39. uint c = Nat.Inc(6, x, z);
  40. if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P)))
  41. {
  42. AddPInvTo(z);
  43. }
  44. }
  45. public static uint[] FromBigInteger(BigInteger x)
  46. {
  47. uint[] z = Nat192.FromBigInteger(x);
  48. if (z[5] == P5 && Nat192.Gte(z, P))
  49. {
  50. Nat192.SubFrom(P, z);
  51. }
  52. return z;
  53. }
  54. public static void Half(uint[] x, uint[] z)
  55. {
  56. if ((x[0] & 1) == 0)
  57. {
  58. Nat.ShiftDownBit(6, x, 0, z);
  59. }
  60. else
  61. {
  62. uint c = Nat192.Add(x, P, z);
  63. Nat.ShiftDownBit(6, z, c);
  64. }
  65. }
  66. public static void Multiply(uint[] x, uint[] y, uint[] z)
  67. {
  68. uint[] tt = Nat192.CreateExt();
  69. Nat192.Mul(x, y, tt);
  70. Reduce(tt, z);
  71. }
  72. public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
  73. {
  74. uint c = Nat192.MulAddTo(x, y, zz);
  75. if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt)))
  76. {
  77. if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
  78. {
  79. Nat.IncAt(12, zz, PExtInv.Length);
  80. }
  81. }
  82. }
  83. public static void Negate(uint[] x, uint[] z)
  84. {
  85. if (Nat192.IsZero(x))
  86. {
  87. Nat192.Zero(z);
  88. }
  89. else
  90. {
  91. Nat192.Sub(P, x, z);
  92. }
  93. }
  94. public static void Reduce(uint[] xx, uint[] z)
  95. {
  96. ulong xx06 = xx[6], xx07 = xx[7], xx08 = xx[8];
  97. ulong xx09 = xx[9], xx10 = xx[10], xx11 = xx[11];
  98. ulong t0 = xx06 + xx10;
  99. ulong t1 = xx07 + xx11;
  100. ulong cc = 0;
  101. cc += (ulong)xx[0] + t0;
  102. uint z0 = (uint)cc;
  103. cc >>= 32;
  104. cc += (ulong)xx[1] + t1;
  105. z[1] = (uint)cc;
  106. cc >>= 32;
  107. t0 += xx08;
  108. t1 += xx09;
  109. cc += (ulong)xx[2] + t0;
  110. ulong z2 = (uint)cc;
  111. cc >>= 32;
  112. cc += (ulong)xx[3] + t1;
  113. z[3] = (uint)cc;
  114. cc >>= 32;
  115. t0 -= xx06;
  116. t1 -= xx07;
  117. cc += (ulong)xx[4] + t0;
  118. z[4] = (uint)cc;
  119. cc >>= 32;
  120. cc += (ulong)xx[5] + t1;
  121. z[5] = (uint)cc;
  122. cc >>= 32;
  123. z2 += cc;
  124. cc += z0;
  125. z[0] = (uint)cc;
  126. cc >>= 32;
  127. if (cc != 0)
  128. {
  129. cc += z[1];
  130. z[1] = (uint)cc;
  131. z2 += cc >> 32;
  132. }
  133. z[2] = (uint)z2;
  134. cc = z2 >> 32;
  135. Debug.Assert(cc == 0 || cc == 1);
  136. if ((cc != 0 && Nat.IncAt(6, z, 3) != 0)
  137. || (z[5] == P5 && Nat192.Gte(z, P)))
  138. {
  139. AddPInvTo(z);
  140. }
  141. }
  142. public static void Reduce32(uint x, uint[] z)
  143. {
  144. ulong cc = 0;
  145. if (x != 0)
  146. {
  147. cc += (ulong)z[0] + x;
  148. z[0] = (uint)cc;
  149. cc >>= 32;
  150. if (cc != 0)
  151. {
  152. cc += (ulong)z[1];
  153. z[1] = (uint)cc;
  154. cc >>= 32;
  155. }
  156. cc += (ulong)z[2] + x;
  157. z[2] = (uint)cc;
  158. cc >>= 32;
  159. Debug.Assert(cc == 0 || cc == 1);
  160. }
  161. if ((cc != 0 && Nat.IncAt(6, z, 3) != 0)
  162. || (z[5] == P5 && Nat192.Gte(z, P)))
  163. {
  164. AddPInvTo(z);
  165. }
  166. }
  167. public static void Square(uint[] x, uint[] z)
  168. {
  169. uint[] tt = Nat192.CreateExt();
  170. Nat192.Square(x, tt);
  171. Reduce(tt, z);
  172. }
  173. public static void SquareN(uint[] x, int n, uint[] z)
  174. {
  175. Debug.Assert(n > 0);
  176. uint[] tt = Nat192.CreateExt();
  177. Nat192.Square(x, tt);
  178. Reduce(tt, z);
  179. while (--n > 0)
  180. {
  181. Nat192.Square(z, tt);
  182. Reduce(tt, z);
  183. }
  184. }
  185. public static void Subtract(uint[] x, uint[] y, uint[] z)
  186. {
  187. int c = Nat192.Sub(x, y, z);
  188. if (c != 0)
  189. {
  190. SubPInvFrom(z);
  191. }
  192. }
  193. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  194. {
  195. int c = Nat.Sub(12, xx, yy, zz);
  196. if (c != 0)
  197. {
  198. if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0)
  199. {
  200. Nat.DecAt(12, zz, PExtInv.Length);
  201. }
  202. }
  203. }
  204. public static void Twice(uint[] x, uint[] z)
  205. {
  206. uint c = Nat.ShiftUpBit(6, x, 0, z);
  207. if (c != 0 || (z[5] == P5 && Nat192.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. if (c != 0)
  227. {
  228. Nat.IncAt(6, z, 3);
  229. }
  230. }
  231. private static void SubPInvFrom(uint[] z)
  232. {
  233. long c = (long)z[0] - 1;
  234. z[0] = (uint)c;
  235. c >>= 32;
  236. if (c != 0)
  237. {
  238. c += (long)z[1];
  239. z[1] = (uint)c;
  240. c >>= 32;
  241. }
  242. c += (long)z[2] - 1;
  243. z[2] = (uint)c;
  244. c >>= 32;
  245. if (c != 0)
  246. {
  247. Nat.DecAt(6, z, 3);
  248. }
  249. }
  250. }
  251. }
  252. #pragma warning restore
  253. #endif