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114 lines
4.5 KiB
C
114 lines
4.5 KiB
C
/* NN.H - header file for NN.C
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*/
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/* Copyright (C) RSA Laboratories, a division of RSA Data Security,
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Inc., created 1991. All rights reserved.
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*/
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/* Type definitions.
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*/
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typedef UINT4 NN_DIGIT;
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typedef UINT2 NN_HALF_DIGIT;
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/* Constants.
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Note: MAX_NN_DIGITS is long enough to hold any RSA modulus, plus
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one more digit as required by R_GeneratePEMKeys (for n and phiN,
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whose lengths must be even). All natural numbers have at most
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MAX_NN_DIGITS digits, except for double-length intermediate values
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in NN_Mult (t), NN_ModMult (t), NN_ModInv (w), and NN_Div (c).
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*/
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/* Length of digit in bits */
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#define NN_DIGIT_BITS 32
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#define NN_HALF_DIGIT_BITS 16
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/* Length of digit in bytes */
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#define NN_DIGIT_LEN (NN_DIGIT_BITS / 8)
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/* Maximum length in digits */
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#define MAX_NN_DIGITS \
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((MAX_RSA_MODULUS_LEN + NN_DIGIT_LEN - 1) / NN_DIGIT_LEN + 1)
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/* Maximum digits */
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#define MAX_NN_DIGIT 0xffffffff
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#define MAX_NN_HALF_DIGIT 0xffff
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/* Macros.
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*/
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#define LOW_HALF(x) ((x) & MAX_NN_HALF_DIGIT)
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#define HIGH_HALF(x) (((x) >> NN_HALF_DIGIT_BITS) & MAX_NN_HALF_DIGIT)
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#define TO_HIGH_HALF(x) (((NN_DIGIT)(x)) << NN_HALF_DIGIT_BITS)
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#define DIGIT_MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 1)) & 1)
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#define DIGIT_2MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 2)) & 3)
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/* CONVERSIONS
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NN_Decode (a, digits, b, len) Decodes character string b into a.
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NN_Encode (a, len, b, digits) Encodes a into character string b.
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ASSIGNMENTS
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NN_Assign (a, b, digits) Assigns a = b.
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NN_ASSIGN_DIGIT (a, b, digits) Assigns a = b, where b is a digit.
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NN_AssignZero (a, b, digits) Assigns a = 0.
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NN_Assign2Exp (a, b, digits) Assigns a = 2^b.
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ARITHMETIC OPERATIONS
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NN_Add (a, b, c, digits) Computes a = b + c.
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NN_Sub (a, b, c, digits) Computes a = b - c.
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NN_Mult (a, b, c, digits) Computes a = b * c.
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NN_LShift (a, b, c, digits) Computes a = b * 2^c.
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NN_RShift (a, b, c, digits) Computes a = b / 2^c.
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NN_Div (a, b, c, cDigits, d, dDigits) Computes a = c div d and b = c mod d.
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NUMBER THEORY
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NN_Mod (a, b, bDigits, c, cDigits) Computes a = b mod c.
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NN_ModMult (a, b, c, d, digits) Computes a = b * c mod d.
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NN_ModExp (a, b, c, cDigits, d, dDigits) Computes a = b^c mod d.
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NN_ModInv (a, b, c, digits) Computes a = 1/b mod c.
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NN_Gcd (a, b, c, digits) Computes a = gcd (b, c).
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OTHER OPERATIONS
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NN_EVEN (a, digits) Returns 1 iff a is even.
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NN_Cmp (a, b, digits) Returns sign of a - b.
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NN_EQUAL (a, digits) Returns 1 iff a = b.
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NN_Zero (a, digits) Returns 1 iff a = 0.
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NN_Digits (a, digits) Returns significant length of a in digits.
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NN_Bits (a, digits) Returns significant length of a in bits.
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*/
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void NN_Decode PROTO_LIST
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((NN_DIGIT *, unsigned int, unsigned char *, unsigned int));
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void NN_Encode PROTO_LIST
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((unsigned char *, unsigned int, NN_DIGIT *, unsigned int));
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void NN_Assign PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int));
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void NN_AssignZero PROTO_LIST ((NN_DIGIT *, unsigned int));
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void NN_Assign2Exp PROTO_LIST ((NN_DIGIT *, unsigned int, unsigned int));
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NN_DIGIT NN_Add PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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NN_DIGIT NN_Sub PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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void NN_Mult PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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void NN_Div PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *,
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unsigned int));
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NN_DIGIT NN_LShift PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int));
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NN_DIGIT NN_RShift PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int));
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void NN_Mod PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int));
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void NN_ModMult PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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void NN_ModExp PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *,
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unsigned int));
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void NN_ModInv PROTO_LIST
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((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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void NN_Gcd PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
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int NN_Cmp PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int));
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int NN_Zero PROTO_LIST ((NN_DIGIT *, unsigned int));
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unsigned int NN_Bits PROTO_LIST ((NN_DIGIT *, unsigned int));
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unsigned int NN_Digits PROTO_LIST ((NN_DIGIT *, unsigned int));
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#define NN_ASSIGN_DIGIT(a, b, digits) {NN_AssignZero (a, digits); a[0] = b;}
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#define NN_EQUAL(a, b, digits) (! NN_Cmp (a, b, digits))
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#define NN_EVEN(a, digits) (((digits) == 0) || ! (a[0] & 1))
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