SecT113R2Point.cs 8.7 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. using System;
  3. namespace Org.BouncyCastle.Math.EC.Custom.Sec
  4. {
  5. internal class SecT113R2Point
  6. : AbstractF2mPoint
  7. {
  8. /**
  9. * @deprecated Use ECCurve.createPoint to construct points
  10. */
  11. public SecT113R2Point(ECCurve curve, ECFieldElement x, ECFieldElement y)
  12. : this(curve, x, y, false)
  13. {
  14. }
  15. /**
  16. * @deprecated per-point compression property will be removed, refer {@link #getEncoded(bool)}
  17. */
  18. public SecT113R2Point(ECCurve curve, ECFieldElement x, ECFieldElement y, bool withCompression)
  19. : base(curve, x, y, withCompression)
  20. {
  21. if ((x == null) != (y == null))
  22. throw new ArgumentException("Exactly one of the field elements is null");
  23. }
  24. internal SecT113R2Point(ECCurve curve, ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, bool withCompression)
  25. : base(curve, x, y, zs, withCompression)
  26. {
  27. }
  28. protected override ECPoint Detach()
  29. {
  30. return new SecT113R2Point(null, AffineXCoord, AffineYCoord);
  31. }
  32. public override ECFieldElement YCoord
  33. {
  34. get
  35. {
  36. ECFieldElement X = RawXCoord, L = RawYCoord;
  37. if (this.IsInfinity || X.IsZero)
  38. return L;
  39. // Y is actually Lambda (X + Y/X) here; convert to affine value on the fly
  40. ECFieldElement Y = L.Add(X).Multiply(X);
  41. ECFieldElement Z = RawZCoords[0];
  42. if (!Z.IsOne)
  43. {
  44. Y = Y.Divide(Z);
  45. }
  46. return Y;
  47. }
  48. }
  49. protected internal override bool CompressionYTilde
  50. {
  51. get
  52. {
  53. ECFieldElement X = this.RawXCoord;
  54. if (X.IsZero)
  55. return false;
  56. ECFieldElement Y = this.RawYCoord;
  57. // Y is actually Lambda (X + Y/X) here
  58. return Y.TestBitZero() != X.TestBitZero();
  59. }
  60. }
  61. public override ECPoint Add(ECPoint b)
  62. {
  63. if (this.IsInfinity)
  64. {
  65. return b;
  66. }
  67. if (b.IsInfinity)
  68. {
  69. return this;
  70. }
  71. ECCurve curve = this.Curve;
  72. ECFieldElement X1 = this.RawXCoord;
  73. ECFieldElement X2 = b.RawXCoord;
  74. if (X1.IsZero)
  75. {
  76. if (X2.IsZero)
  77. return curve.Infinity;
  78. return b.Add(this);
  79. }
  80. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  81. ECFieldElement L2 = b.RawYCoord, Z2 = b.RawZCoords[0];
  82. bool Z1IsOne = Z1.IsOne;
  83. ECFieldElement U2 = X2, S2 = L2;
  84. if (!Z1IsOne)
  85. {
  86. U2 = U2.Multiply(Z1);
  87. S2 = S2.Multiply(Z1);
  88. }
  89. bool Z2IsOne = Z2.IsOne;
  90. ECFieldElement U1 = X1, S1 = L1;
  91. if (!Z2IsOne)
  92. {
  93. U1 = U1.Multiply(Z2);
  94. S1 = S1.Multiply(Z2);
  95. }
  96. ECFieldElement A = S1.Add(S2);
  97. ECFieldElement B = U1.Add(U2);
  98. if (B.IsZero)
  99. {
  100. if (A.IsZero)
  101. return Twice();
  102. return curve.Infinity;
  103. }
  104. ECFieldElement X3, L3, Z3;
  105. if (X2.IsZero)
  106. {
  107. // TODO This can probably be optimized quite a bit
  108. ECPoint p = this.Normalize();
  109. X1 = p.XCoord;
  110. ECFieldElement Y1 = p.YCoord;
  111. ECFieldElement Y2 = L2;
  112. ECFieldElement L = Y1.Add(Y2).Divide(X1);
  113. X3 = L.Square().Add(L).Add(X1).Add(curve.A);
  114. if (X3.IsZero)
  115. {
  116. return new SecT113R2Point(curve, X3, curve.B.Sqrt(), IsCompressed);
  117. }
  118. ECFieldElement Y3 = L.Multiply(X1.Add(X3)).Add(X3).Add(Y1);
  119. L3 = Y3.Divide(X3).Add(X3);
  120. Z3 = curve.FromBigInteger(BigInteger.One);
  121. }
  122. else
  123. {
  124. B = B.Square();
  125. ECFieldElement AU1 = A.Multiply(U1);
  126. ECFieldElement AU2 = A.Multiply(U2);
  127. X3 = AU1.Multiply(AU2);
  128. if (X3.IsZero)
  129. {
  130. return new SecT113R2Point(curve, X3, curve.B.Sqrt(), IsCompressed);
  131. }
  132. ECFieldElement ABZ2 = A.Multiply(B);
  133. if (!Z2IsOne)
  134. {
  135. ABZ2 = ABZ2.Multiply(Z2);
  136. }
  137. L3 = AU2.Add(B).SquarePlusProduct(ABZ2, L1.Add(Z1));
  138. Z3 = ABZ2;
  139. if (!Z1IsOne)
  140. {
  141. Z3 = Z3.Multiply(Z1);
  142. }
  143. }
  144. return new SecT113R2Point(curve, X3, L3, new ECFieldElement[]{ Z3 }, IsCompressed);
  145. }
  146. public override ECPoint Twice()
  147. {
  148. if (this.IsInfinity)
  149. {
  150. return this;
  151. }
  152. ECCurve curve = this.Curve;
  153. ECFieldElement X1 = this.RawXCoord;
  154. if (X1.IsZero)
  155. {
  156. // A point with X == 0 is it's own Additive inverse
  157. return curve.Infinity;
  158. }
  159. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  160. bool Z1IsOne = Z1.IsOne;
  161. ECFieldElement L1Z1 = Z1IsOne ? L1 : L1.Multiply(Z1);
  162. ECFieldElement Z1Sq = Z1IsOne ? Z1 : Z1.Square();
  163. ECFieldElement a = curve.A;
  164. ECFieldElement aZ1Sq = Z1IsOne ? a : a.Multiply(Z1Sq);
  165. ECFieldElement T = L1.Square().Add(L1Z1).Add(aZ1Sq);
  166. if (T.IsZero)
  167. {
  168. return new SecT113R2Point(curve, T, curve.B.Sqrt(), IsCompressed);
  169. }
  170. ECFieldElement X3 = T.Square();
  171. ECFieldElement Z3 = Z1IsOne ? T : T.Multiply(Z1Sq);
  172. ECFieldElement X1Z1 = Z1IsOne ? X1 : X1.Multiply(Z1);
  173. ECFieldElement L3 = X1Z1.SquarePlusProduct(T, L1Z1).Add(X3).Add(Z3);
  174. return new SecT113R2Point(curve, X3, L3, new ECFieldElement[]{ Z3 }, IsCompressed);
  175. }
  176. public override ECPoint TwicePlus(ECPoint b)
  177. {
  178. if (this.IsInfinity)
  179. {
  180. return b;
  181. }
  182. if (b.IsInfinity)
  183. {
  184. return Twice();
  185. }
  186. ECCurve curve = this.Curve;
  187. ECFieldElement X1 = this.RawXCoord;
  188. if (X1.IsZero)
  189. {
  190. // A point with X == 0 is it's own Additive inverse
  191. return b;
  192. }
  193. ECFieldElement X2 = b.RawXCoord, Z2 = b.RawZCoords[0];
  194. if (X2.IsZero || !Z2.IsOne)
  195. {
  196. return Twice().Add(b);
  197. }
  198. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  199. ECFieldElement L2 = b.RawYCoord;
  200. ECFieldElement X1Sq = X1.Square();
  201. ECFieldElement L1Sq = L1.Square();
  202. ECFieldElement Z1Sq = Z1.Square();
  203. ECFieldElement L1Z1 = L1.Multiply(Z1);
  204. ECFieldElement T = curve.A.Multiply(Z1Sq).Add(L1Sq).Add(L1Z1);
  205. ECFieldElement L2plus1 = L2.AddOne();
  206. ECFieldElement A = curve.A.Add(L2plus1).Multiply(Z1Sq).Add(L1Sq).MultiplyPlusProduct(T, X1Sq, Z1Sq);
  207. ECFieldElement X2Z1Sq = X2.Multiply(Z1Sq);
  208. ECFieldElement B = X2Z1Sq.Add(T).Square();
  209. if (B.IsZero)
  210. {
  211. if (A.IsZero)
  212. return b.Twice();
  213. return curve.Infinity;
  214. }
  215. if (A.IsZero)
  216. {
  217. return new SecT113R2Point(curve, A, curve.B.Sqrt(), IsCompressed);
  218. }
  219. ECFieldElement X3 = A.Square().Multiply(X2Z1Sq);
  220. ECFieldElement Z3 = A.Multiply(B).Multiply(Z1Sq);
  221. ECFieldElement L3 = A.Add(B).Square().MultiplyPlusProduct(T, L2plus1, Z3);
  222. return new SecT113R2Point(curve, X3, L3, new ECFieldElement[]{ Z3 }, IsCompressed);
  223. }
  224. public override ECPoint Negate()
  225. {
  226. if (IsInfinity)
  227. return this;
  228. ECFieldElement X = this.RawXCoord;
  229. if (X.IsZero)
  230. return this;
  231. // L is actually Lambda (X + Y/X) here
  232. ECFieldElement L = this.RawYCoord, Z = this.RawZCoords[0];
  233. return new SecT113R2Point(Curve, X, L.Add(Z), new ECFieldElement[]{ Z }, IsCompressed);
  234. }
  235. }
  236. }
  237. #endif