1f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* LibTomMath, multiple-precision integer library -- Tom St Denis 2f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 3f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LibTomMath is a library that provides multiple-precision 4f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * integer arithmetic as well as number theoretic functionality. 5f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 6f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * The library was designed directly after the MPI library by 7f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Michael Fromberger but has been written from scratch with 8f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * additional optimizations in place. 9f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 10f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * The library is free for all purposes without any express 11f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * guarantee it works. 12f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 13f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com 14f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 15f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef BN_H_ 16f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define BN_H_ 17f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 18f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <stdio.h> 19f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <string.h> 20f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <stdlib.h> 21f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <ctype.h> 22f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <limits.h> 23f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 24f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include "tommath_class.h" 25f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 26f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef MIN 27f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MIN(x,y) ((x)<(y)?(x):(y)) 28f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 29f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 30f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef MAX 31f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MAX(x,y) ((x)>(y)?(x):(y)) 32f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 33f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 34f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef __cplusplus 35f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectextern "C" { 36f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 37f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* C++ compilers don't like assigning void * to mp_digit * */ 38f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define OPT_CAST(x) (x *) 39f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 40f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#else 41f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 42f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* C on the other hand doesn't care */ 43f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define OPT_CAST(x) 44f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 45f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 46f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 47f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 48f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* detect 64-bit mode if possible */ 49f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#if defined(__x86_64__) 50f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) 51f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MP_64BIT 52f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #endif 53f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 54f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 55f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* some default configurations. 56f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 57f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits 58f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits 59f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 60f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * At the very least a mp_digit must be able to hold 7 bits 61f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * [any size beyond that is ok provided it doesn't overflow the data type] 62f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 63f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef MP_8BIT 64f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned char mp_digit; 65f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned short mp_word; 66f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#elif defined(MP_16BIT) 67f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned short mp_digit; 68f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long mp_word; 69f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#elif defined(MP_64BIT) 70f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* for GCC only on supported platforms */ 71f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef CRYPT 72f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long long ulong64; 73f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef signed long long long64; 74f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 75f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 76f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long mp_digit; 77f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long mp_word __attribute__ ((mode(TI))); 78f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 79f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define DIGIT_BIT 60 80f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#else 81f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* this is the default case, 28-bit digits */ 82f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 83f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* this is to make porting into LibTomCrypt easier :-) */ 84f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef CRYPT 85f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #if defined(_MSC_VER) || defined(__BORLANDC__) 86f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned __int64 ulong64; 87f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef signed __int64 long64; 88f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #else 89f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long long ulong64; 90f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef signed long long long64; 91f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #endif 92f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 93f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 94f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef unsigned long mp_digit; 95f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project typedef ulong64 mp_word; 96f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 97f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef MP_31BIT 98f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* this is an extension that uses 31-bit digits */ 99f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define DIGIT_BIT 31 100f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#else 101f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ 102f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define DIGIT_BIT 28 103f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MP_28BIT 104f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 105f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 106f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 107f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* define heap macros */ 108f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef CRYPT 109f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* default to libc stuff */ 110f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #ifndef XMALLOC 111f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define XMALLOC malloc 112f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define XFREE free 113f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define XREALLOC realloc 114f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define XCALLOC calloc 115f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #else 116f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project /* prototypes for our heap functions */ 117f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project extern void *XMALLOC(size_t n); 118f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project extern void *XREALLOC(void *p, size_t n); 119f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project extern void *XCALLOC(size_t n, size_t s); 120f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project extern void XFREE(void *p); 121f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #endif 122f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 123f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 124f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 125f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ 126f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef DIGIT_BIT 127f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ 128f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 129f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 130f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_DIGIT_BIT DIGIT_BIT 131f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1)) 132f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_DIGIT_MAX MP_MASK 133f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 134f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* equalities */ 135f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_LT -1 /* less than */ 136f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_EQ 0 /* equal to */ 137f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_GT 1 /* greater than */ 138f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 139f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_ZPOS 0 /* positive integer */ 140f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_NEG 1 /* negative */ 141f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 142f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_OKAY 0 /* ok result */ 143f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_MEM -2 /* out of mem */ 144f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_VAL -3 /* invalid input */ 145f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_RANGE MP_VAL 146f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 147f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_YES 1 /* yes response */ 148f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_NO 0 /* no response */ 149f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 150f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* Primality generation flags */ 151f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define LTM_PRIME_BBS 0x0001 /* BBS style prime */ 152f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ 153f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ 154f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 155f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projecttypedef int mp_err; 156f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 157f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* you'll have to tune these... */ 158f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectextern int KARATSUBA_MUL_CUTOFF, 159f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project KARATSUBA_SQR_CUTOFF, 160f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project TOOM_MUL_CUTOFF, 161f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project TOOM_SQR_CUTOFF; 162f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 163f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* define this to use lower memory usage routines (exptmods mostly) */ 164f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* #define MP_LOW_MEM */ 165f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 166f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* default precision */ 167f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifndef MP_PREC 168f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #ifndef MP_LOW_MEM 169f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MP_PREC 32 /* default digits of precision */ 170f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #else 171f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define MP_PREC 8 /* default digits of precision */ 172f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #endif 173f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 174f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 175f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ 176f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) 177f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 178f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* the infamous mp_int structure */ 179f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projecttypedef struct { 180f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project int used, alloc, sign; 181f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project mp_digit *dp; 182f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project} mp_int; 183f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 184f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */ 185f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projecttypedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); 186f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 187f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 188f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define USED(m) ((m)->used) 189f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define DIGIT(m,k) ((m)->dp[(k)]) 190f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define SIGN(m) ((m)->sign) 191f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 192f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* error code to char* string */ 193f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectchar *mp_error_to_string(int code); 194f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 195f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> init and deinit bignum functions <--- */ 196f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* init a bignum */ 197f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init(mp_int *a); 198f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 199f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* free a bignum */ 200f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_clear(mp_int *a); 201f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 202f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* init a null terminated series of arguments */ 203f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init_multi(mp_int *mp, ...); 204f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 205f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* clear a null terminated series of arguments */ 206f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_clear_multi(mp_int *mp, ...); 207f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 208f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* exchange two ints */ 209f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_exch(mp_int *a, mp_int *b); 210f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 211f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* shrink ram required for a bignum */ 212f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_shrink(mp_int *a); 213f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 214f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* grow an int to a given size */ 215f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_grow(mp_int *a, int size); 216f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 217f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* init to a given number of digits */ 218f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init_size(mp_int *a, int size); 219f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 220f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> Basic Manipulations <--- */ 221f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) 222f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) 223f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) 224f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 225f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* set to zero */ 226f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_zero(mp_int *a); 227f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 228f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* set to a digit */ 229f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_set(mp_int *a, mp_digit b); 230f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 231f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* set a 32-bit const */ 232f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_set_int(mp_int *a, unsigned long b); 233f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 234f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* get a 32-bit value */ 235f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectunsigned long mp_get_int(mp_int * a); 236f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 237f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* initialize and set a digit */ 238f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init_set (mp_int * a, mp_digit b); 239f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 240f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* initialize and set 32-bit value */ 241f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init_set_int (mp_int * a, unsigned long b); 242f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 243f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* copy, b = a */ 244f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_copy(mp_int *a, mp_int *b); 245f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 246f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* inits and copies, a = b */ 247f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_init_copy(mp_int *a, mp_int *b); 248f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 249f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* trim unused digits */ 250f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_clamp(mp_int *a); 251f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 252f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> digit manipulation <--- */ 253f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 254f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* right shift by "b" digits */ 255f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_rshd(mp_int *a, int b); 256f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 257f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* left shift by "b" digits */ 258f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_lshd(mp_int *a, int b); 259f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 260f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a / 2**b */ 261f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); 262f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 263f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* b = a/2 */ 264f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_div_2(mp_int *a, mp_int *b); 265f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 266f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a * 2**b */ 267f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mul_2d(mp_int *a, int b, mp_int *c); 268f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 269f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* b = a*2 */ 270f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mul_2(mp_int *a, mp_int *b); 271f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 272f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a mod 2**d */ 273f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mod_2d(mp_int *a, int b, mp_int *c); 274f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 275f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* computes a = 2**b */ 276f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_2expt(mp_int *a, int b); 277f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 278f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* Counts the number of lsbs which are zero before the first zero bit */ 279f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_cnt_lsb(mp_int *a); 280f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 281f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* I Love Earth! */ 282f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 283f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* makes a pseudo-random int of a given size */ 284f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_rand(mp_int *a, int digits); 285f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 286f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> binary operations <--- */ 287f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a XOR b */ 288f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_xor(mp_int *a, mp_int *b, mp_int *c); 289f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 290f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a OR b */ 291f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_or(mp_int *a, mp_int *b, mp_int *c); 292f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 293f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a AND b */ 294f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_and(mp_int *a, mp_int *b, mp_int *c); 295f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 296f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> Basic arithmetic <--- */ 297f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 298f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* b = -a */ 299f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_neg(mp_int *a, mp_int *b); 300f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 301f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* b = |a| */ 302f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_abs(mp_int *a, mp_int *b); 303f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 304f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* compare a to b */ 305f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_cmp(mp_int *a, mp_int *b); 306f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 307f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* compare |a| to |b| */ 308f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_cmp_mag(mp_int *a, mp_int *b); 309f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 310f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a + b */ 311f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_add(mp_int *a, mp_int *b, mp_int *c); 312f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 313f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a - b */ 314f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_sub(mp_int *a, mp_int *b, mp_int *c); 315f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 316f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a * b */ 317f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mul(mp_int *a, mp_int *b, mp_int *c); 318f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 319f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* b = a*a */ 320f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_sqr(mp_int *a, mp_int *b); 321f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 322f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* a/b => cb + d == a */ 323f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_div(mp_int *a, mp_int *b, mp_int *c, mp_int *d); 324f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 325f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a mod b, 0 <= c < b */ 326f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mod(mp_int *a, mp_int *b, mp_int *c); 327f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 328f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> single digit functions <--- */ 329f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 330f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* compare against a single digit */ 331f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_cmp_d(mp_int *a, mp_digit b); 332f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 333f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a + b */ 334f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_add_d(mp_int *a, mp_digit b, mp_int *c); 335f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 336f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a - b */ 337f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_sub_d(mp_int *a, mp_digit b, mp_int *c); 338f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 339f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a * b */ 340f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mul_d(mp_int *a, mp_digit b, mp_int *c); 341f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 342f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* a/b => cb + d == a */ 343f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d); 344f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 345f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* a/3 => 3c + d == a */ 346f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_div_3(mp_int *a, mp_int *c, mp_digit *d); 347f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 348f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a**b */ 349f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_expt_d(mp_int *a, mp_digit b, mp_int *c); 350f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 351f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a mod b, 0 <= c < b */ 352f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); 353f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 354f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> number theory <--- */ 355f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 356f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* d = a + b (mod c) */ 357f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_addmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); 358f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 359f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* d = a - b (mod c) */ 360f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_submod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); 361f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 362f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* d = a * b (mod c) */ 363f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_mulmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); 364f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 365f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = a * a (mod b) */ 366f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_sqrmod(mp_int *a, mp_int *b, mp_int *c); 367f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 368f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = 1/a (mod b) */ 369f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_invmod(mp_int *a, mp_int *b, mp_int *c); 370f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 371f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = (a, b) */ 372f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_gcd(mp_int *a, mp_int *b, mp_int *c); 373f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 374f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* produces value such that U1*a + U2*b = U3 */ 375f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); 376f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 377f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* c = [a, b] or (a*b)/(a, b) */ 378f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_lcm(mp_int *a, mp_int *b, mp_int *c); 379f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 380f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* finds one of the b'th root of a, such that |c|**b <= |a| 381f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 382f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * returns error if a < 0 and b is even 383f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 384f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_n_root(mp_int *a, mp_digit b, mp_int *c); 385f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 386f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* special sqrt algo */ 387f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_sqrt(mp_int *arg, mp_int *ret); 388f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 389f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* is number a square? */ 390f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_is_square(mp_int *arg, int *ret); 391f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 392f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* computes the jacobi c = (a | n) (or Legendre if b is prime) */ 393f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_jacobi(mp_int *a, mp_int *n, int *c); 394f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 395f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* used to setup the Barrett reduction for a given modulus b */ 396f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_setup(mp_int *a, mp_int *b); 397f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 398f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* Barrett Reduction, computes a (mod b) with a precomputed value c 399f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 400f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely 401f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code]. 402f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 403f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce(mp_int *a, mp_int *b, mp_int *c); 404f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 405f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* setups the montgomery reduction */ 406f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_montgomery_setup(mp_int *a, mp_digit *mp); 407f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 408f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* computes a = B**n mod b without division or multiplication useful for 409f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * normalizing numbers in a Montgomery system. 410f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 411f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_montgomery_calc_normalization(mp_int *a, mp_int *b); 412f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 413f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* computes x/R == x (mod N) via Montgomery Reduction */ 414f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); 415f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 416f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* returns 1 if a is a valid DR modulus */ 417f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_dr_is_modulus(mp_int *a); 418f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 419f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* sets the value of "d" required for mp_dr_reduce */ 420f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid mp_dr_setup(mp_int *a, mp_digit *d); 421f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 422f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* reduces a modulo b using the Diminished Radix method */ 423f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); 424f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 425f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* returns true if a can be reduced with mp_reduce_2k */ 426f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_is_2k(mp_int *a); 427f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 428f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* determines k value for 2k reduction */ 429f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_2k_setup(mp_int *a, mp_digit *d); 430f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 431f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ 432f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); 433f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 434f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* returns true if a can be reduced with mp_reduce_2k_l */ 435f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_is_2k_l(mp_int *a); 436f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 437f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* determines k value for 2k reduction */ 438f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_2k_setup_l(mp_int *a, mp_int *d); 439f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 440f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ 441f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d); 442f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 443f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* d = a**b (mod c) */ 444f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); 445f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 446f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> Primes <--- */ 447f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 448f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* number of primes */ 449f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef MP_8BIT 450f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define PRIME_SIZE 31 451f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#else 452f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project #define PRIME_SIZE 256 453f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 454f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 455f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* table of first PRIME_SIZE primes */ 456f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectextern const mp_digit ltm_prime_tab[]; 457f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 458f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* result=1 if a is divisible by one of the first PRIME_SIZE primes */ 459f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_is_divisible(mp_int *a, int *result); 460f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 461f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* performs one Fermat test of "a" using base "b". 462f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Sets result to 0 if composite or 1 if probable prime 463f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 464f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_fermat(mp_int *a, mp_int *b, int *result); 465f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 466f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* performs one Miller-Rabin test of "a" using base "b". 467f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Sets result to 0 if composite or 1 if probable prime 468f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 469f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); 470f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 471f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* This gives [for a given bit size] the number of trials required 472f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * such that Miller-Rabin gives a prob of failure lower than 2^-96 473f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 474f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_rabin_miller_trials(int size); 475f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 476f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* performs t rounds of Miller-Rabin on "a" using the first 477f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * t prime bases. Also performs an initial sieve of trial 478f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * division. Determines if "a" is prime with probability 479f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * of error no more than (1/4)**t. 480f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 481f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Sets result to 1 if probably prime, 0 otherwise 482f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 483f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_is_prime(mp_int *a, int t, int *result); 484f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 485f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* finds the next prime after the number "a" using "t" trials 486f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * of Miller-Rabin. 487f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 488f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * bbs_style = 1 means the prime must be congruent to 3 mod 4 489f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 490f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_next_prime(mp_int *a, int t, int bbs_style); 491f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 492f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* makes a truly random prime of a given size (bytes), 493f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * call with bbs = 1 if you want it to be congruent to 3 mod 4 494f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 495f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can 496f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself 497f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * so it can be NULL 498f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 499f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * The prime generated will be larger than 2^(8*size). 500f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 501f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat) 502f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 503f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* makes a truly random prime of a given size (bits), 504f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 505f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Flags are as follows: 506f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 507f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LTM_PRIME_BBS - make prime congruent to 3 mod 4 508f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) 509f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero 510f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LTM_PRIME_2MSB_ON - make the 2nd highest bit one 511f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 512f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can 513f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself 514f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * so it can be NULL 515f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * 516f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */ 517f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat); 518f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 519f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* ---> radix conversion <--- */ 520f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_count_bits(mp_int *a); 521f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 522f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_unsigned_bin_size(mp_int *a); 523f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c); 524f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_to_unsigned_bin(mp_int *a, unsigned char *b); 525f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); 526f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 527f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_signed_bin_size(mp_int *a); 528f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_read_signed_bin(mp_int *a, const unsigned char *b, int c); 529f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_to_signed_bin(mp_int *a, unsigned char *b); 530f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); 531f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 532f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_read_radix(mp_int *a, const char *str, int radix); 533f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_toradix(mp_int *a, char *str, int radix); 534f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); 535f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_radix_size(mp_int *a, int radix, int *size); 536f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 537f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_fread(mp_int *a, int radix, FILE *stream); 538f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_fwrite(mp_int *a, int radix, FILE *stream); 539f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 540f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) 541f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_raw_size(mp) mp_signed_bin_size(mp) 542f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) 543f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) 544f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_mag_size(mp) mp_unsigned_bin_size(mp) 545f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) 546f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 547f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_tobinary(M, S) mp_toradix((M), (S), 2) 548f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_tooctal(M, S) mp_toradix((M), (S), 8) 549f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_todecimal(M, S) mp_toradix((M), (S), 10) 550f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define mp_tohex(M, S) mp_toradix((M), (S), 16) 551f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 552f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* lowlevel functions, do not call! */ 553f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_add(mp_int *a, mp_int *b, mp_int *c); 554f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_sub(mp_int *a, mp_int *b, mp_int *c); 555f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) 556f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); 557f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); 558f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); 559f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); 560f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint fast_s_mp_sqr(mp_int *a, mp_int *b); 561f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_sqr(mp_int *a, mp_int *b); 562f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); 563f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); 564f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_karatsuba_sqr(mp_int *a, mp_int *b); 565f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_toom_sqr(mp_int *a, mp_int *b); 566f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); 567f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); 568f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); 569f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); 570f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); 571f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectvoid bn_reverse(unsigned char *s, int len); 572f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 573f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectextern const char *mp_s_rmap; 574f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 575f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef __cplusplus 576f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project } 577f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 578f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 579f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif 580f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 581f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project 582f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ 583f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Revision: 1.8 $ */ 584f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Date: 2006/03/31 14:18:44 $ */ 585