SM2P256V1FieldElement.cs 6.6 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. #pragma warning disable
  3. using System;
  4. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.Raw;
  5. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Utilities;
  6. using Best.HTTP.SecureProtocol.Org.BouncyCastle.Utilities.Encoders;
  7. namespace Best.HTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.GM
  8. {
  9. internal class SM2P256V1FieldElement
  10. : AbstractFpFieldElement
  11. {
  12. public static readonly BigInteger Q = new BigInteger(1,
  13. Hex.DecodeStrict("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF"));
  14. protected internal readonly uint[] x;
  15. public SM2P256V1FieldElement(BigInteger x)
  16. {
  17. if (x == null || x.SignValue < 0 || x.CompareTo(Q) >= 0)
  18. throw new ArgumentException("value invalid for SM2P256V1FieldElement", "x");
  19. this.x = SM2P256V1Field.FromBigInteger(x);
  20. }
  21. public SM2P256V1FieldElement()
  22. {
  23. this.x = Nat256.Create();
  24. }
  25. protected internal SM2P256V1FieldElement(uint[] x)
  26. {
  27. this.x = x;
  28. }
  29. public override bool IsZero
  30. {
  31. get { return Nat256.IsZero(x); }
  32. }
  33. public override bool IsOne
  34. {
  35. get { return Nat256.IsOne(x); }
  36. }
  37. public override bool TestBitZero()
  38. {
  39. return Nat256.GetBit(x, 0) == 1;
  40. }
  41. public override BigInteger ToBigInteger()
  42. {
  43. return Nat256.ToBigInteger(x);
  44. }
  45. public override string FieldName
  46. {
  47. get { return "SM2P256V1Field"; }
  48. }
  49. public override int FieldSize
  50. {
  51. get { return Q.BitLength; }
  52. }
  53. public override ECFieldElement Add(ECFieldElement b)
  54. {
  55. uint[] z = Nat256.Create();
  56. SM2P256V1Field.Add(x, ((SM2P256V1FieldElement)b).x, z);
  57. return new SM2P256V1FieldElement(z);
  58. }
  59. public override ECFieldElement AddOne()
  60. {
  61. uint[] z = Nat256.Create();
  62. SM2P256V1Field.AddOne(x, z);
  63. return new SM2P256V1FieldElement(z);
  64. }
  65. public override ECFieldElement Subtract(ECFieldElement b)
  66. {
  67. uint[] z = Nat256.Create();
  68. SM2P256V1Field.Subtract(x, ((SM2P256V1FieldElement)b).x, z);
  69. return new SM2P256V1FieldElement(z);
  70. }
  71. public override ECFieldElement Multiply(ECFieldElement b)
  72. {
  73. uint[] z = Nat256.Create();
  74. SM2P256V1Field.Multiply(x, ((SM2P256V1FieldElement)b).x, z);
  75. return new SM2P256V1FieldElement(z);
  76. }
  77. public override ECFieldElement Divide(ECFieldElement b)
  78. {
  79. //return Multiply(b.Invert());
  80. uint[] z = Nat256.Create();
  81. SM2P256V1Field.Inv(((SM2P256V1FieldElement)b).x, z);
  82. SM2P256V1Field.Multiply(z, x, z);
  83. return new SM2P256V1FieldElement(z);
  84. }
  85. public override ECFieldElement Negate()
  86. {
  87. uint[] z = Nat256.Create();
  88. SM2P256V1Field.Negate(x, z);
  89. return new SM2P256V1FieldElement(z);
  90. }
  91. public override ECFieldElement Square()
  92. {
  93. uint[] z = Nat256.Create();
  94. SM2P256V1Field.Square(x, z);
  95. return new SM2P256V1FieldElement(z);
  96. }
  97. public override ECFieldElement Invert()
  98. {
  99. uint[] z = Nat256.Create();
  100. SM2P256V1Field.Inv(x, z);
  101. return new SM2P256V1FieldElement(z);
  102. }
  103. /**
  104. * return a sqrt root - the routine verifies that the calculation returns the right value - if
  105. * none exists it returns null.
  106. */
  107. public override ECFieldElement Sqrt()
  108. {
  109. /*
  110. * Raise this element to the exponent 2^254 - 2^222 - 2^94 + 2^62
  111. *
  112. * Breaking up the exponent's binary representation into "repunits", we get:
  113. * { 31 1s } { 1 0s } { 128 1s } { 31 0s } { 1 1s } { 62 0s }
  114. *
  115. * We use an addition chain for the beginning: [1], 2, 3, 6, 12, [24], 30, [31]
  116. */
  117. uint[] x1 = this.x;
  118. if (Nat256.IsZero(x1) || Nat256.IsOne(x1))
  119. {
  120. return this;
  121. }
  122. uint[] x2 = Nat256.Create();
  123. SM2P256V1Field.Square(x1, x2);
  124. SM2P256V1Field.Multiply(x2, x1, x2);
  125. uint[] x4 = Nat256.Create();
  126. SM2P256V1Field.SquareN(x2, 2, x4);
  127. SM2P256V1Field.Multiply(x4, x2, x4);
  128. uint[] x6 = Nat256.Create();
  129. SM2P256V1Field.SquareN(x4, 2, x6);
  130. SM2P256V1Field.Multiply(x6, x2, x6);
  131. uint[] x12 = x2;
  132. SM2P256V1Field.SquareN(x6, 6, x12);
  133. SM2P256V1Field.Multiply(x12, x6, x12);
  134. uint[] x24 = Nat256.Create();
  135. SM2P256V1Field.SquareN(x12, 12, x24);
  136. SM2P256V1Field.Multiply(x24, x12, x24);
  137. uint[] x30 = x12;
  138. SM2P256V1Field.SquareN(x24, 6, x30);
  139. SM2P256V1Field.Multiply(x30, x6, x30);
  140. uint[] x31 = x6;
  141. SM2P256V1Field.Square(x30, x31);
  142. SM2P256V1Field.Multiply(x31, x1, x31);
  143. uint[] t1 = x24;
  144. SM2P256V1Field.SquareN(x31, 31, t1);
  145. uint[] x62 = x30;
  146. SM2P256V1Field.Multiply(t1, x31, x62);
  147. SM2P256V1Field.SquareN(t1, 32, t1);
  148. SM2P256V1Field.Multiply(t1, x62, t1);
  149. SM2P256V1Field.SquareN(t1, 62, t1);
  150. SM2P256V1Field.Multiply(t1, x62, t1);
  151. SM2P256V1Field.SquareN(t1, 4, t1);
  152. SM2P256V1Field.Multiply(t1, x4, t1);
  153. SM2P256V1Field.SquareN(t1, 32, t1);
  154. SM2P256V1Field.Multiply(t1, x1, t1);
  155. SM2P256V1Field.SquareN(t1, 62, t1);
  156. uint[] t2 = x4;
  157. SM2P256V1Field.Square(t1, t2);
  158. return Nat256.Eq(x1, t2) ? new SM2P256V1FieldElement(t1) : null;
  159. }
  160. public override bool Equals(object obj)
  161. {
  162. return Equals(obj as SM2P256V1FieldElement);
  163. }
  164. public override bool Equals(ECFieldElement other)
  165. {
  166. return Equals(other as SM2P256V1FieldElement);
  167. }
  168. public virtual bool Equals(SM2P256V1FieldElement other)
  169. {
  170. if (this == other)
  171. return true;
  172. if (null == other)
  173. return false;
  174. return Nat256.Eq(x, other.x);
  175. }
  176. public override int GetHashCode()
  177. {
  178. return Q.GetHashCode() ^ Arrays.GetHashCode(x, 0, 8);
  179. }
  180. }
  181. }
  182. #pragma warning restore
  183. #endif