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trunk/third/moira/util/rsaref/nn.h
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1 | /* NN.H - header file for NN.C |

2 | */ |

3 | |

4 | /* Copyright (C) RSA Laboratories, a division of RSA Data Security, |

5 | Inc., created 1991. All rights reserved. |

6 | */ |

7 | |

8 | /* Type definitions. |

9 | */ |

10 | typedef UINT4 NN_DIGIT; |

11 | typedef UINT2 NN_HALF_DIGIT; |

12 | |

13 | /* Constants. |

14 | |

15 | Note: MAX_NN_DIGITS is long enough to hold any RSA modulus, plus |

16 | one more digit as required by R_GeneratePEMKeys (for n and phiN, |

17 | whose lengths must be even). All natural numbers have at most |

18 | MAX_NN_DIGITS digits, except for double-length intermediate values |

19 | in NN_Mult (t), NN_ModMult (t), NN_ModInv (w), and NN_Div (c). |

20 | */ |

21 | /* Length of digit in bits */ |

22 | #define NN_DIGIT_BITS 32 |

23 | #define NN_HALF_DIGIT_BITS 16 |

24 | /* Length of digit in bytes */ |

25 | #define NN_DIGIT_LEN (NN_DIGIT_BITS / 8) |

26 | /* Maximum length in digits */ |

27 | #define MAX_NN_DIGITS \ |

28 | ((MAX_RSA_MODULUS_LEN + NN_DIGIT_LEN - 1) / NN_DIGIT_LEN + 1) |

29 | /* Maximum digits */ |

30 | #define MAX_NN_DIGIT 0xffffffff |

31 | #define MAX_NN_HALF_DIGIT 0xffff |

32 | |

33 | /* Macros. |

34 | */ |

35 | #define LOW_HALF(x) ((x) & MAX_NN_HALF_DIGIT) |

36 | #define HIGH_HALF(x) (((x) >> NN_HALF_DIGIT_BITS) & MAX_NN_HALF_DIGIT) |

37 | #define TO_HIGH_HALF(x) (((NN_DIGIT)(x)) << NN_HALF_DIGIT_BITS) |

38 | #define DIGIT_MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 1)) & 1) |

39 | #define DIGIT_2MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 2)) & 3) |

40 | |

41 | /* CONVERSIONS |

42 | NN_Decode (a, digits, b, len) Decodes character string b into a. |

43 | NN_Encode (a, len, b, digits) Encodes a into character string b. |

44 | |

45 | ASSIGNMENTS |

46 | NN_Assign (a, b, digits) Assigns a = b. |

47 | NN_ASSIGN_DIGIT (a, b, digits) Assigns a = b, where b is a digit. |

48 | NN_AssignZero (a, b, digits) Assigns a = 0. |

49 | NN_Assign2Exp (a, b, digits) Assigns a = 2^b. |

50 | |

51 | ARITHMETIC OPERATIONS |

52 | NN_Add (a, b, c, digits) Computes a = b + c. |

53 | NN_Sub (a, b, c, digits) Computes a = b - c. |

54 | NN_Mult (a, b, c, digits) Computes a = b * c. |

55 | NN_LShift (a, b, c, digits) Computes a = b * 2^c. |

56 | NN_RShift (a, b, c, digits) Computes a = b / 2^c. |

57 | NN_Div (a, b, c, cDigits, d, dDigits) Computes a = c div d and b = c mod d. |

58 | |

59 | NUMBER THEORY |

60 | NN_Mod (a, b, bDigits, c, cDigits) Computes a = b mod c. |

61 | NN_ModMult (a, b, c, d, digits) Computes a = b * c mod d. |

62 | NN_ModExp (a, b, c, cDigits, d, dDigits) Computes a = b^c mod d. |

63 | NN_ModInv (a, b, c, digits) Computes a = 1/b mod c. |

64 | NN_Gcd (a, b, c, digits) Computes a = gcd (b, c). |

65 | |

66 | OTHER OPERATIONS |

67 | NN_EVEN (a, digits) Returns 1 iff a is even. |

68 | NN_Cmp (a, b, digits) Returns sign of a - b. |

69 | NN_EQUAL (a, digits) Returns 1 iff a = b. |

70 | NN_Zero (a, digits) Returns 1 iff a = 0. |

71 | NN_Digits (a, digits) Returns significant length of a in digits. |

72 | NN_Bits (a, digits) Returns significant length of a in bits. |

73 | */ |

74 | void NN_Decode PROTO_LIST |

75 | ((NN_DIGIT *, unsigned int, unsigned char *, unsigned int)); |

76 | void NN_Encode PROTO_LIST |

77 | ((unsigned char *, unsigned int, NN_DIGIT *, unsigned int)); |

78 | |

79 | void NN_Assign PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int)); |

80 | void NN_AssignZero PROTO_LIST ((NN_DIGIT *, unsigned int)); |

81 | void NN_Assign2Exp PROTO_LIST ((NN_DIGIT *, unsigned int, unsigned int)); |

82 | |

83 | NN_DIGIT NN_Add PROTO_LIST |

84 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

85 | NN_DIGIT NN_Sub PROTO_LIST |

86 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

87 | void NN_Mult PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

88 | void NN_Div PROTO_LIST |

89 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, |

90 | unsigned int)); |

91 | NN_DIGIT NN_LShift PROTO_LIST |

92 | ((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int)); |

93 | NN_DIGIT NN_RShift PROTO_LIST |

94 | ((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int)); |

95 | |

96 | void NN_Mod PROTO_LIST |

97 | ((NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int)); |

98 | void NN_ModMult PROTO_LIST |

99 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

100 | void NN_ModExp PROTO_LIST |

101 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, |

102 | unsigned int)); |

103 | void NN_ModInv PROTO_LIST |

104 | ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

105 | void NN_Gcd PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); |

106 | |

107 | int NN_Cmp PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int)); |

108 | int NN_Zero PROTO_LIST ((NN_DIGIT *, unsigned int)); |

109 | unsigned int NN_Bits PROTO_LIST ((NN_DIGIT *, unsigned int)); |

110 | unsigned int NN_Digits PROTO_LIST ((NN_DIGIT *, unsigned int)); |

111 | |

112 | #define NN_ASSIGN_DIGIT(a, b, digits) {NN_AssignZero (a, digits); a[0] = b;} |

113 | #define NN_EQUAL(a, b, digits) (! NN_Cmp (a, b, digits)) |

114 | #define NN_EVEN(a, digits) (((digits) == 0) || ! (a[0] & 1)) |

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