SecP224R1FieldElement.cs 7.8 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. #pragma warning disable
  3. using System;
  4. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.Raw;
  5. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Security;
  6. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Utilities;
  7. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Utilities.Encoders;
  8. namespace Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.Sec
  9. {
  10. internal class SecP224R1FieldElement
  11. : AbstractFpFieldElement
  12. {
  13. public static readonly BigInteger Q = new BigInteger(1,
  14. Hex.DecodeStrict("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"));
  15. protected internal readonly uint[] x;
  16. public SecP224R1FieldElement(BigInteger x)
  17. {
  18. if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
  19. throw new ArgumentException("value invalid for SecP224R1FieldElement", "x");
  20. this.x = SecP224R1Field.FromBigInteger(x);
  21. }
  22. public SecP224R1FieldElement()
  23. {
  24. this.x = Nat224.Create();
  25. }
  26. protected internal SecP224R1FieldElement(uint[] x)
  27. {
  28. this.x = x;
  29. }
  30. public override bool IsZero
  31. {
  32. get { return Nat224.IsZero(x); }
  33. }
  34. public override bool IsOne
  35. {
  36. get { return Nat224.IsOne(x); }
  37. }
  38. public override bool TestBitZero()
  39. {
  40. return Nat224.GetBit(x, 0) == 1;
  41. }
  42. public override BigInteger ToBigInteger()
  43. {
  44. return Nat224.ToBigInteger(x);
  45. }
  46. public override string FieldName
  47. {
  48. get { return "SecP224R1Field"; }
  49. }
  50. public override int FieldSize
  51. {
  52. get { return Q.BitLength; }
  53. }
  54. public override ECFieldElement Add(ECFieldElement b)
  55. {
  56. uint[] z = Nat224.Create();
  57. SecP224R1Field.Add(x, ((SecP224R1FieldElement)b).x, z);
  58. return new SecP224R1FieldElement(z);
  59. }
  60. public override ECFieldElement AddOne()
  61. {
  62. uint[] z = Nat224.Create();
  63. SecP224R1Field.AddOne(x, z);
  64. return new SecP224R1FieldElement(z);
  65. }
  66. public override ECFieldElement Subtract(ECFieldElement b)
  67. {
  68. uint[] z = Nat224.Create();
  69. SecP224R1Field.Subtract(x, ((SecP224R1FieldElement)b).x, z);
  70. return new SecP224R1FieldElement(z);
  71. }
  72. public override ECFieldElement Multiply(ECFieldElement b)
  73. {
  74. uint[] z = Nat224.Create();
  75. SecP224R1Field.Multiply(x, ((SecP224R1FieldElement)b).x, z);
  76. return new SecP224R1FieldElement(z);
  77. }
  78. public override ECFieldElement Divide(ECFieldElement b)
  79. {
  80. //return Multiply(b.Invert());
  81. uint[] z = Nat224.Create();
  82. SecP224R1Field.Inv(((SecP224R1FieldElement)b).x, z);
  83. SecP224R1Field.Multiply(z, x, z);
  84. return new SecP224R1FieldElement(z);
  85. }
  86. public override ECFieldElement Negate()
  87. {
  88. uint[] z = Nat224.Create();
  89. SecP224R1Field.Negate(x, z);
  90. return new SecP224R1FieldElement(z);
  91. }
  92. public override ECFieldElement Square()
  93. {
  94. uint[] z = Nat224.Create();
  95. SecP224R1Field.Square(x, z);
  96. return new SecP224R1FieldElement(z);
  97. }
  98. public override ECFieldElement Invert()
  99. {
  100. uint[] z = Nat224.Create();
  101. SecP224R1Field.Inv(x, z);
  102. return new SecP224R1FieldElement(z);
  103. }
  104. /**
  105. * return a sqrt root - the routine verifies that the calculation returns the right value - if
  106. * none exists it returns null.
  107. */
  108. public override ECFieldElement Sqrt()
  109. {
  110. uint[] c = this.x;
  111. if (Nat224.IsZero(c) || Nat224.IsOne(c))
  112. return this;
  113. uint[] nc = Nat224.Create();
  114. SecP224R1Field.Negate(c, nc);
  115. uint[] r = Mod.Random(SecureRandom.ArbitraryRandom, SecP224R1Field.P);
  116. uint[] t = Nat224.Create();
  117. if (!IsSquare(c))
  118. return null;
  119. while (!TrySqrt(nc, r, t))
  120. {
  121. SecP224R1Field.AddOne(r, r);
  122. }
  123. SecP224R1Field.Square(t, r);
  124. return Nat224.Eq(c, r) ? new SecP224R1FieldElement(t) : null;
  125. }
  126. public override bool Equals(object obj)
  127. {
  128. return Equals(obj as SecP224R1FieldElement);
  129. }
  130. public override bool Equals(ECFieldElement other)
  131. {
  132. return Equals(other as SecP224R1FieldElement);
  133. }
  134. public virtual bool Equals(SecP224R1FieldElement other)
  135. {
  136. if (this == other)
  137. return true;
  138. if (null == other)
  139. return false;
  140. return Nat224.Eq(x, other.x);
  141. }
  142. public override int GetHashCode()
  143. {
  144. return Q.GetHashCode() ^ Arrays.GetHashCode(x, 0, 7);
  145. }
  146. private static bool IsSquare(uint[] x)
  147. {
  148. uint[] t1 = Nat224.Create();
  149. uint[] t2 = Nat224.Create();
  150. Nat224.Copy(x, t1);
  151. for (int i = 0; i < 7; ++i)
  152. {
  153. Nat224.Copy(t1, t2);
  154. SecP224R1Field.SquareN(t1, 1 << i, t1);
  155. SecP224R1Field.Multiply(t1, t2, t1);
  156. }
  157. SecP224R1Field.SquareN(t1, 95, t1);
  158. return Nat224.IsOne(t1);
  159. }
  160. private static void RM(uint[] nc, uint[] d0, uint[] e0, uint[] d1, uint[] e1, uint[] f1, uint[] t)
  161. {
  162. SecP224R1Field.Multiply(e1, e0, t);
  163. SecP224R1Field.Multiply(t, nc, t);
  164. SecP224R1Field.Multiply(d1, d0, f1);
  165. SecP224R1Field.Add(f1, t, f1);
  166. SecP224R1Field.Multiply(d1, e0, t);
  167. Nat224.Copy(f1, d1);
  168. SecP224R1Field.Multiply(e1, d0, e1);
  169. SecP224R1Field.Add(e1, t, e1);
  170. SecP224R1Field.Square(e1, f1);
  171. SecP224R1Field.Multiply(f1, nc, f1);
  172. }
  173. private static void RP(uint[] nc, uint[] d1, uint[] e1, uint[] f1, uint[] t)
  174. {
  175. Nat224.Copy(nc, f1);
  176. uint[] d0 = Nat224.Create();
  177. uint[] e0 = Nat224.Create();
  178. for (int i = 0; i < 7; ++i)
  179. {
  180. Nat224.Copy(d1, d0);
  181. Nat224.Copy(e1, e0);
  182. int j = 1 << i;
  183. while (--j >= 0)
  184. {
  185. RS(d1, e1, f1, t);
  186. }
  187. RM(nc, d0, e0, d1, e1, f1, t);
  188. }
  189. }
  190. private static void RS(uint[] d, uint[] e, uint[] f, uint[] t)
  191. {
  192. SecP224R1Field.Multiply(e, d, e);
  193. SecP224R1Field.Twice(e, e);
  194. SecP224R1Field.Square(d, t);
  195. SecP224R1Field.Add(f, t, d);
  196. SecP224R1Field.Multiply(f, t, f);
  197. uint c = Nat.ShiftUpBits(7, f, 2, 0);
  198. SecP224R1Field.Reduce32(c, f);
  199. }
  200. private static bool TrySqrt(uint[] nc, uint[] r, uint[] t)
  201. {
  202. uint[] d1 = Nat224.Create();
  203. Nat224.Copy(r, d1);
  204. uint[] e1 = Nat224.Create();
  205. e1[0] = 1;
  206. uint[] f1 = Nat224.Create();
  207. RP(nc, d1, e1, f1, t);
  208. uint[] d0 = Nat224.Create();
  209. uint[] e0 = Nat224.Create();
  210. for (int k = 1; k < 96; ++k)
  211. {
  212. Nat224.Copy(d1, d0);
  213. Nat224.Copy(e1, e0);
  214. RS(d1, e1, f1, t);
  215. if (Nat224.IsZero(d1))
  216. {
  217. SecP224R1Field.Inv(e0, t);
  218. SecP224R1Field.Multiply(t, d0, t);
  219. return true;
  220. }
  221. }
  222. return false;
  223. }
  224. }
  225. }
  226. #pragma warning restore
  227. #endif