/* NN.H - header file for NN.C
 */

/* Copyright (C) RSA Laboratories, a division of RSA Data Security,
     Inc., created 1991. All rights reserved.
 */

/* Type definitions.
 */
typedef UINT4 NN_DIGIT;
typedef UINT2 NN_HALF_DIGIT;

/* Constants.

   Note: MAX_NN_DIGITS is long enough to hold any RSA modulus, plus
   one more digit as required by R_GeneratePEMKeys (for n and phiN,
   whose lengths must be even). All natural numbers have at most
   MAX_NN_DIGITS digits, except for double-length intermediate values
   in NN_Mult (t), NN_ModMult (t), NN_ModInv (w), and NN_Div (c).
 */
/* Length of digit in bits */
#define NN_DIGIT_BITS 32
#define NN_HALF_DIGIT_BITS 16
/* Length of digit in bytes */
#define NN_DIGIT_LEN (NN_DIGIT_BITS / 8)
/* Maximum length in digits */
#define MAX_NN_DIGITS \
  ((MAX_RSA_MODULUS_LEN + NN_DIGIT_LEN - 1) / NN_DIGIT_LEN + 1)
/* Maximum digits */
#define MAX_NN_DIGIT 0xffffffff
#define MAX_NN_HALF_DIGIT 0xffff

/* Macros.
 */
#define LOW_HALF(x) ((x) & MAX_NN_HALF_DIGIT)
#define HIGH_HALF(x) (((x) >> NN_HALF_DIGIT_BITS) & MAX_NN_HALF_DIGIT)
#define TO_HIGH_HALF(x) (((NN_DIGIT)(x)) << NN_HALF_DIGIT_BITS)
#define DIGIT_MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 1)) & 1)
#define DIGIT_2MSB(x) (unsigned int)(((x) >> (NN_DIGIT_BITS - 2)) & 3)

/* CONVERSIONS
   NN_Decode (a, digits, b, len)   Decodes character string b into a.
   NN_Encode (a, len, b, digits)   Encodes a into character string b.

   ASSIGNMENTS
   NN_Assign (a, b, digits)        Assigns a = b.
   NN_ASSIGN_DIGIT (a, b, digits)  Assigns a = b, where b is a digit.
   NN_AssignZero (a, b, digits)    Assigns a = 0.
   NN_Assign2Exp (a, b, digits)    Assigns a = 2^b.
     
   ARITHMETIC OPERATIONS
   NN_Add (a, b, c, digits)        Computes a = b + c.
   NN_Sub (a, b, c, digits)        Computes a = b - c.
   NN_Mult (a, b, c, digits)       Computes a = b * c.
   NN_LShift (a, b, c, digits)     Computes a = b * 2^c.
   NN_RShift (a, b, c, digits)     Computes a = b / 2^c.
   NN_Div (a, b, c, cDigits, d, dDigits)  Computes a = c div d and b = c mod d.

   NUMBER THEORY
   NN_Mod (a, b, bDigits, c, cDigits)  Computes a = b mod c.
   NN_ModMult (a, b, c, d, digits) Computes a = b * c mod d.
   NN_ModExp (a, b, c, cDigits, d, dDigits)  Computes a = b^c mod d.
   NN_ModInv (a, b, c, digits)     Computes a = 1/b mod c.
   NN_Gcd (a, b, c, digits)        Computes a = gcd (b, c).

   OTHER OPERATIONS
   NN_EVEN (a, digits)             Returns 1 iff a is even.
   NN_Cmp (a, b, digits)           Returns sign of a - b.
   NN_EQUAL (a, digits)            Returns 1 iff a = b.
   NN_Zero (a, digits)             Returns 1 iff a = 0.
   NN_Digits (a, digits)           Returns significant length of a in digits.
   NN_Bits (a, digits)             Returns significant length of a in bits.
 */
void NN_Decode PROTO_LIST
  ((NN_DIGIT *, unsigned int, unsigned char *, unsigned int));
void NN_Encode PROTO_LIST
  ((unsigned char *, unsigned int, NN_DIGIT *, unsigned int));

void NN_Assign PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int));
void NN_AssignZero PROTO_LIST ((NN_DIGIT *, unsigned int));
void NN_Assign2Exp PROTO_LIST ((NN_DIGIT *, unsigned int, unsigned int));

NN_DIGIT NN_Add PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
NN_DIGIT NN_Sub PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
void NN_Mult PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
void NN_Div PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *,
    unsigned int));
NN_DIGIT NN_LShift PROTO_LIST 
  ((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int));
NN_DIGIT NN_RShift PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, unsigned int, unsigned int));

void NN_Mod PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *, unsigned int));
void NN_ModMult PROTO_LIST 
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
void NN_ModExp PROTO_LIST 
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int, NN_DIGIT *,
    unsigned int));
void NN_ModInv PROTO_LIST
  ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));
void NN_Gcd PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, NN_DIGIT *, unsigned int));

int NN_Cmp PROTO_LIST ((NN_DIGIT *, NN_DIGIT *, unsigned int));
int NN_Zero PROTO_LIST ((NN_DIGIT *, unsigned int));
unsigned int NN_Bits PROTO_LIST ((NN_DIGIT *, unsigned int));
unsigned int NN_Digits PROTO_LIST ((NN_DIGIT *, unsigned int));

#define NN_ASSIGN_DIGIT(a, b, digits) {NN_AssignZero (a, digits); a[0] = b;}
#define NN_EQUAL(a, b, digits) (! NN_Cmp (a, b, digits))
#define NN_EVEN(a, digits) (((digits) == 0) || ! (a[0] & 1))