SecP192K1FieldElement.cs 6.7 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. using Org.BouncyCastle.Utilities;
  6. namespace Org.BouncyCastle.Math.EC.Custom.Sec
  7. {
  8. internal class SecP192K1FieldElement
  9. : ECFieldElement
  10. {
  11. public static readonly BigInteger Q = SecP192K1Curve.q;
  12. protected internal readonly uint[] x;
  13. public SecP192K1FieldElement(BigInteger x)
  14. {
  15. if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
  16. throw new ArgumentException("value invalid for SecP192K1FieldElement", "x");
  17. this.x = SecP192K1Field.FromBigInteger(x);
  18. }
  19. public SecP192K1FieldElement()
  20. {
  21. this.x = Nat192.Create();
  22. }
  23. protected internal SecP192K1FieldElement(uint[] x)
  24. {
  25. this.x = x;
  26. }
  27. public override bool IsZero
  28. {
  29. get { return Nat192.IsZero(x); }
  30. }
  31. public override bool IsOne
  32. {
  33. get { return Nat192.IsOne(x); }
  34. }
  35. public override bool TestBitZero()
  36. {
  37. return Nat192.GetBit(x, 0) == 1;
  38. }
  39. public override BigInteger ToBigInteger()
  40. {
  41. return Nat192.ToBigInteger(x);
  42. }
  43. public override string FieldName
  44. {
  45. get { return "SecP192K1Field"; }
  46. }
  47. public override int FieldSize
  48. {
  49. get { return Q.BitLength; }
  50. }
  51. public override ECFieldElement Add(ECFieldElement b)
  52. {
  53. uint[] z = Nat192.Create();
  54. SecP192K1Field.Add(x, ((SecP192K1FieldElement)b).x, z);
  55. return new SecP192K1FieldElement(z);
  56. }
  57. public override ECFieldElement AddOne()
  58. {
  59. uint[] z = Nat192.Create();
  60. SecP192K1Field.AddOne(x, z);
  61. return new SecP192K1FieldElement(z);
  62. }
  63. public override ECFieldElement Subtract(ECFieldElement b)
  64. {
  65. uint[] z = Nat192.Create();
  66. SecP192K1Field.Subtract(x, ((SecP192K1FieldElement)b).x, z);
  67. return new SecP192K1FieldElement(z);
  68. }
  69. public override ECFieldElement Multiply(ECFieldElement b)
  70. {
  71. uint[] z = Nat192.Create();
  72. SecP192K1Field.Multiply(x, ((SecP192K1FieldElement)b).x, z);
  73. return new SecP192K1FieldElement(z);
  74. }
  75. public override ECFieldElement Divide(ECFieldElement b)
  76. {
  77. //return Multiply(b.Invert());
  78. uint[] z = Nat192.Create();
  79. Mod.Invert(SecP192K1Field.P, ((SecP192K1FieldElement)b).x, z);
  80. SecP192K1Field.Multiply(z, x, z);
  81. return new SecP192K1FieldElement(z);
  82. }
  83. public override ECFieldElement Negate()
  84. {
  85. uint[] z = Nat192.Create();
  86. SecP192K1Field.Negate(x, z);
  87. return new SecP192K1FieldElement(z);
  88. }
  89. public override ECFieldElement Square()
  90. {
  91. uint[] z = Nat192.Create();
  92. SecP192K1Field.Square(x, z);
  93. return new SecP192K1FieldElement(z);
  94. }
  95. public override ECFieldElement Invert()
  96. {
  97. //return new SecP192K1FieldElement(ToBigInteger().ModInverse(Q));
  98. uint[] z = Nat192.Create();
  99. Mod.Invert(SecP192K1Field.P, x, z);
  100. return new SecP192K1FieldElement(z);
  101. }
  102. /**
  103. * return a sqrt root - the routine verifies that the calculation returns the right value - if
  104. * none exists it returns null.
  105. */
  106. public override ECFieldElement Sqrt()
  107. {
  108. /*
  109. * Raise this element to the exponent 2^190 - 2^30 - 2^10 - 2^6 - 2^5 - 2^4 - 2^1
  110. *
  111. * Breaking up the exponent's binary representation into "repunits", we get:
  112. * { 159 1s } { 1 0s } { 19 1s } { 1 0s } { 3 1s } { 3 0s} { 3 1s } { 1 0s }
  113. *
  114. * Therefore we need an addition chain containing 3, 19, 159 (the lengths of the repunits)
  115. * We use: 1, 2, [3], 6, 8, 16, [19], 35, 70, 140, [159]
  116. */
  117. uint[] x1 = this.x;
  118. if (Nat192.IsZero(x1) || Nat192.IsOne(x1))
  119. return this;
  120. uint[] x2 = Nat192.Create();
  121. SecP192K1Field.Square(x1, x2);
  122. SecP192K1Field.Multiply(x2, x1, x2);
  123. uint[] x3 = Nat192.Create();
  124. SecP192K1Field.Square(x2, x3);
  125. SecP192K1Field.Multiply(x3, x1, x3);
  126. uint[] x6 = Nat192.Create();
  127. SecP192K1Field.SquareN(x3, 3, x6);
  128. SecP192K1Field.Multiply(x6, x3, x6);
  129. uint[] x8 = x6;
  130. SecP192K1Field.SquareN(x6, 2, x8);
  131. SecP192K1Field.Multiply(x8, x2, x8);
  132. uint[] x16 = x2;
  133. SecP192K1Field.SquareN(x8, 8, x16);
  134. SecP192K1Field.Multiply(x16, x8, x16);
  135. uint[] x19 = x8;
  136. SecP192K1Field.SquareN(x16, 3, x19);
  137. SecP192K1Field.Multiply(x19, x3, x19);
  138. uint[] x35 = Nat192.Create();
  139. SecP192K1Field.SquareN(x19, 16, x35);
  140. SecP192K1Field.Multiply(x35, x16, x35);
  141. uint[] x70 = x16;
  142. SecP192K1Field.SquareN(x35, 35, x70);
  143. SecP192K1Field.Multiply(x70, x35, x70);
  144. uint[] x140 = x35;
  145. SecP192K1Field.SquareN(x70, 70, x140);
  146. SecP192K1Field.Multiply(x140, x70, x140);
  147. uint[] x159 = x70;
  148. SecP192K1Field.SquareN(x140, 19, x159);
  149. SecP192K1Field.Multiply(x159, x19, x159);
  150. uint[] t1 = x159;
  151. SecP192K1Field.SquareN(t1, 20, t1);
  152. SecP192K1Field.Multiply(t1, x19, t1);
  153. SecP192K1Field.SquareN(t1, 4, t1);
  154. SecP192K1Field.Multiply(t1, x3, t1);
  155. SecP192K1Field.SquareN(t1, 6, t1);
  156. SecP192K1Field.Multiply(t1, x3, t1);
  157. SecP192K1Field.Square(t1, t1);
  158. uint[] t2 = x3;
  159. SecP192K1Field.Square(t1, t2);
  160. return Nat192.Eq(x1, t2) ? new SecP192K1FieldElement(t1) : null;
  161. }
  162. public override bool Equals(object obj)
  163. {
  164. return Equals(obj as SecP192K1FieldElement);
  165. }
  166. public override bool Equals(ECFieldElement other)
  167. {
  168. return Equals(other as SecP192K1FieldElement);
  169. }
  170. public virtual bool Equals(SecP192K1FieldElement other)
  171. {
  172. if (this == other)
  173. return true;
  174. if (null == other)
  175. return false;
  176. return Nat192.Eq(x, other.x);
  177. }
  178. public override int GetHashCode()
  179. {
  180. return Q.GetHashCode() ^ Arrays.GetHashCode(x, 0, 6);
  181. }
  182. }
  183. }
  184. #endif