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1.1 ! root 1: /* NN.H - header file for NN.C ! 2: */ ! 3: ! 4: /* Copyright (C) 1991-2 RSA Laboratories, a division of RSA Data ! 5: Security, Inc. 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) (NN_HALF_DIGIT)((x) & MAX_NN_HALF_DIGIT) ! 36: #define HIGH_HALF(x) \ ! 37: (NN_HALF_DIGIT)(((x) >> NN_HALF_DIGIT_BITS) & MAX_NN_HALF_DIGIT) ! 38: #define TO_HIGH_HALF(x) (((NN_DIGIT)(x)) << NN_HALF_DIGIT_BITS) ! 39: #define DIGIT_MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 1)) & 1) ! 40: #define DIGIT_2MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 2)) & 3) ! 41: ! 42: /* CONVERSIONS ! 43: NN_Decode (a, digits, b, len) Decodes character string b into a. ! 44: NN_Encode (a, len, b, digits) Encodes a into character string b. ! 45: ! 46: ASSIGNMENTS ! 47: NN_Assign (a, b, digits) Assigns a = b. ! 48: NN_ASSIGN_DIGIT (a, b, digits) Assigns a = b, where b is a digit. ! 49: NN_AssignZero (a, b, digits) Assigns a = 0. ! 50: NN_Assign2Exp (a, b, digits) Assigns a = 2^b. ! 51: ! 52: ARITHMETIC OPERATIONS ! 53: NN_Add (a, b, c, digits) Computes a = b + c. ! 54: NN_Sub (a, b, c, digits) Computes a = b - c. ! 55: NN_Mult (a, b, c, digits) Computes a = b * c. ! 56: NN_Mod (a, b, bDigits, c, cDigits) Computes a = b mod c. ! 57: NN_ModMult (a, b, c, d, digits) Computes a = b * c mod d. ! 58: NN_ModExp (a, b, c, cDigits, d, dDigits) Computes a = b^c mod . ! 59: NN_ModInv (a, b, c, digits) Computes a = 1/b mod c. ! 60: NN_Gcd (a, b, c, digits) Computes a = gcd (b, c). ! 61: ! 62: OTHER OPERATIONS ! 63: NN_EVEN (a, digits) Returns 1 iff a is even. ! 64: NN_Cmp (a, b, digits) Returns sign of a - b. ! 65: NN_EQUAL (a, digits) Returns 1 iff a = b. ! 66: NN_Zero (a, digits) Returns 1 iff a = 0. ! 67: NN_Digits (a, digits) Returns significant length of a in digits. ! 68: NN_Bits (a, digits) Returns significant length of a in bits. ! 69: */ ! 70: void NN_Decode PROTO_LIST ! 71: ((NN_DIGIT *, unsigned int, unsigned char *, unsigned int)); ! 72: void NN_Encode PROTO_LIST ! 73: ((unsigned char *, unsigned int, NN_DIGIT *, unsigned int)); ! 74: ! 75: void NN_Assign PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 76: void NN_AssignZero PROTO_LIST ((NN_DIGIT *, unsigned int)); ! 77: void NN_Assign2Exp PROTO_LIST ((NN_DIGIT *, unsigned int, unsigned int)); ! 78: ! 79: NN_DIGIT NN_Add PROTO_LIST ! 80: ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 81: NN_DIGIT NN_Sub PROTO_LIST ! 82: ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 83: void NN_Mult PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 84: void NN_Mod PROTO_LIST ! 85: ((NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int)); ! 86: void NN_ModMult PROTO_LIST ! 87: ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 88: void NN_ModExp PROTO_LIST ! 89: ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, ! 90: unsigned int)); ! 91: void NN_ModInv PROTO_LIST ! 92: ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 93: void NN_Gcd PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 94: ! 95: int NN_Cmp PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int)); ! 96: int NN_Zero PROTO_LIST ((NN_DIGIT *, unsigned int)); ! 97: unsigned int NN_Bits PROTO_LIST ((NN_DIGIT *, unsigned int)); ! 98: unsigned int NN_Digits PROTO_LIST ((NN_DIGIT *, unsigned int)); ! 99: ! 100: #define NN_ASSIGN_DIGIT(a, b, digits) {NN_AssignZero (a, digits); a[0] = b;} ! 101: #define NN_EQUAL(a, b, digits) (! NN_Cmp (a, b, digits)) ! 102: #define NN_EVEN(a, digits) (((digits) == 0) || ! (a[0] & 1))
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