SecP192R1Field.cs 7.5 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. using System;
  3. using System.Diagnostics;
  4. using Org.BouncyCastle.Math.Raw;
  5. namespace Org.BouncyCastle.Math.EC.Custom.Sec
  6. {
  7. internal class SecP192R1Field
  8. {
  9. // 2^192 - 2^64 - 1
  10. internal static readonly uint[] P = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
  11. internal static readonly uint[] PExt = new uint[]{ 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001,
  12. 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
  13. private static readonly uint[] PExtInv = new uint[]{ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFE,
  14. 0xFFFFFFFF, 0x00000001, 0x00000000, 0x00000002 };
  15. private const uint P5 = 0xFFFFFFFF;
  16. private const uint PExt11 = 0xFFFFFFFF;
  17. public static void Add(uint[] x, uint[] y, uint[] z)
  18. {
  19. uint c = Nat192.Add(x, y, z);
  20. if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P)))
  21. {
  22. AddPInvTo(z);
  23. }
  24. }
  25. public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
  26. {
  27. uint c = Nat.Add(12, xx, yy, zz);
  28. if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt)))
  29. {
  30. if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
  31. {
  32. Nat.IncAt(12, zz, PExtInv.Length);
  33. }
  34. }
  35. }
  36. public static void AddOne(uint[] x, uint[] z)
  37. {
  38. uint c = Nat.Inc(6, x, z);
  39. if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P)))
  40. {
  41. AddPInvTo(z);
  42. }
  43. }
  44. public static uint[] FromBigInteger(BigInteger x)
  45. {
  46. uint[] z = Nat192.FromBigInteger(x);
  47. if (z[5] == P5 && Nat192.Gte(z, P))
  48. {
  49. Nat192.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(6, x, 0, z);
  58. }
  59. else
  60. {
  61. uint c = Nat192.Add(x, P, z);
  62. Nat.ShiftDownBit(6, z, c);
  63. }
  64. }
  65. public static void Multiply(uint[] x, uint[] y, uint[] z)
  66. {
  67. uint[] tt = Nat192.CreateExt();
  68. Nat192.Mul(x, y, tt);
  69. Reduce(tt, z);
  70. }
  71. public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
  72. {
  73. uint c = Nat192.MulAddTo(x, y, zz);
  74. if (c != 0 || (zz[11] == PExt11 && Nat.Gte(12, zz, PExt)))
  75. {
  76. if (Nat.AddTo(PExtInv.Length, PExtInv, zz) != 0)
  77. {
  78. Nat.IncAt(12, zz, PExtInv.Length);
  79. }
  80. }
  81. }
  82. public static void Negate(uint[] x, uint[] z)
  83. {
  84. if (Nat192.IsZero(x))
  85. {
  86. Nat192.Zero(z);
  87. }
  88. else
  89. {
  90. Nat192.Sub(P, x, z);
  91. }
  92. }
  93. public static void Reduce(uint[] xx, uint[] z)
  94. {
  95. ulong xx06 = xx[6], xx07 = xx[7], xx08 = xx[8];
  96. ulong xx09 = xx[9], xx10 = xx[10], xx11 = xx[11];
  97. ulong t0 = xx06 + xx10;
  98. ulong t1 = xx07 + xx11;
  99. ulong cc = 0;
  100. cc += (ulong)xx[0] + t0;
  101. uint z0 = (uint)cc;
  102. cc >>= 32;
  103. cc += (ulong)xx[1] + t1;
  104. z[1] = (uint)cc;
  105. cc >>= 32;
  106. t0 += xx08;
  107. t1 += xx09;
  108. cc += (ulong)xx[2] + t0;
  109. ulong z2 = (uint)cc;
  110. cc >>= 32;
  111. cc += (ulong)xx[3] + t1;
  112. z[3] = (uint)cc;
  113. cc >>= 32;
  114. t0 -= xx06;
  115. t1 -= xx07;
  116. cc += (ulong)xx[4] + t0;
  117. z[4] = (uint)cc;
  118. cc >>= 32;
  119. cc += (ulong)xx[5] + t1;
  120. z[5] = (uint)cc;
  121. cc >>= 32;
  122. z2 += cc;
  123. cc += z0;
  124. z[0] = (uint)cc;
  125. cc >>= 32;
  126. if (cc != 0)
  127. {
  128. cc += z[1];
  129. z[1] = (uint)cc;
  130. z2 += cc >> 32;
  131. }
  132. z[2] = (uint)z2;
  133. cc = z2 >> 32;
  134. Debug.Assert(cc == 0 || cc == 1);
  135. if ((cc != 0 && Nat.IncAt(6, z, 3) != 0)
  136. || (z[5] == P5 && Nat192.Gte(z, P)))
  137. {
  138. AddPInvTo(z);
  139. }
  140. }
  141. public static void Reduce32(uint x, uint[] z)
  142. {
  143. ulong cc = 0;
  144. if (x != 0)
  145. {
  146. cc += (ulong)z[0] + x;
  147. z[0] = (uint)cc;
  148. cc >>= 32;
  149. if (cc != 0)
  150. {
  151. cc += (ulong)z[1];
  152. z[1] = (uint)cc;
  153. cc >>= 32;
  154. }
  155. cc += (ulong)z[2] + x;
  156. z[2] = (uint)cc;
  157. cc >>= 32;
  158. Debug.Assert(cc == 0 || cc == 1);
  159. }
  160. if ((cc != 0 && Nat.IncAt(6, z, 3) != 0)
  161. || (z[5] == P5 && Nat192.Gte(z, P)))
  162. {
  163. AddPInvTo(z);
  164. }
  165. }
  166. public static void Square(uint[] x, uint[] z)
  167. {
  168. uint[] tt = Nat192.CreateExt();
  169. Nat192.Square(x, tt);
  170. Reduce(tt, z);
  171. }
  172. public static void SquareN(uint[] x, int n, uint[] z)
  173. {
  174. Debug.Assert(n > 0);
  175. uint[] tt = Nat192.CreateExt();
  176. Nat192.Square(x, tt);
  177. Reduce(tt, z);
  178. while (--n > 0)
  179. {
  180. Nat192.Square(z, tt);
  181. Reduce(tt, z);
  182. }
  183. }
  184. public static void Subtract(uint[] x, uint[] y, uint[] z)
  185. {
  186. int c = Nat192.Sub(x, y, z);
  187. if (c != 0)
  188. {
  189. SubPInvFrom(z);
  190. }
  191. }
  192. public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
  193. {
  194. int c = Nat.Sub(12, xx, yy, zz);
  195. if (c != 0)
  196. {
  197. if (Nat.SubFrom(PExtInv.Length, PExtInv, zz) != 0)
  198. {
  199. Nat.DecAt(12, zz, PExtInv.Length);
  200. }
  201. }
  202. }
  203. public static void Twice(uint[] x, uint[] z)
  204. {
  205. uint c = Nat.ShiftUpBit(6, x, 0, z);
  206. if (c != 0 || (z[5] == P5 && Nat192.Gte(z, P)))
  207. {
  208. AddPInvTo(z);
  209. }
  210. }
  211. private static void AddPInvTo(uint[] z)
  212. {
  213. long c = (long)z[0] + 1;
  214. z[0] = (uint)c;
  215. c >>= 32;
  216. if (c != 0)
  217. {
  218. c += (long)z[1];
  219. z[1] = (uint)c;
  220. c >>= 32;
  221. }
  222. c += (long)z[2] + 1;
  223. z[2] = (uint)c;
  224. c >>= 32;
  225. if (c != 0)
  226. {
  227. Nat.IncAt(6, z, 3);
  228. }
  229. }
  230. private static void SubPInvFrom(uint[] z)
  231. {
  232. long c = (long)z[0] - 1;
  233. z[0] = (uint)c;
  234. c >>= 32;
  235. if (c != 0)
  236. {
  237. c += (long)z[1];
  238. z[1] = (uint)c;
  239. c >>= 32;
  240. }
  241. c += (long)z[2] - 1;
  242. z[2] = (uint)c;
  243. c >>= 32;
  244. if (c != 0)
  245. {
  246. Nat.DecAt(6, z, 3);
  247. }
  248. }
  249. }
  250. }
  251. #endif