denyhosts/clamav/libclamav/tomsfastmath/headers/tfm.h

502 lines
13 KiB
C

/* TomsFastMath, a fast ISO C bignum library.
*
* This project is meant to fill in where LibTomMath
* falls short. That is speed ;-)
*
* This project is public domain and free for all purposes.
*
* Tom St Denis, tomstdenis@gmail.com
*/
#ifndef TFM_H_
#define TFM_H_
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <ctype.h>
#include <limits.h>
/* 0xMaMiPaXX
* Major
* Minor
* Patch
* XX - undefined
*/
#define TFM_VERSION 0x000D0100
#define TFM_VERSION_S "v0.13.1"
#ifndef MIN
#define MIN(x,y) ((x)<(y)?(x):(y))
#endif
#ifndef MAX
#define MAX(x,y) ((x)>(y)?(x):(y))
#endif
/* externally define this symbol to ignore the default settings, useful for changing the build from the make process */
#ifndef TFM_ALREADY_SET
/* do we want the large set of small multiplications ?
Enable these if you are going to be doing a lot of small (<= 16 digit) multiplications say in ECC
Or if you're on a 64-bit machine doing RSA as a 1024-bit integer == 16 digits ;-)
*/
#define TFM_SMALL_SET
/* do we want huge code
Enable these if you are doing 20, 24, 28, 32, 48, 64 digit multiplications (useful for RSA)
Less important on 64-bit machines as 32 digits == 2048 bits
*/
#if 0
#define TFM_MUL3
#define TFM_MUL4
#define TFM_MUL6
#define TFM_MUL7
#define TFM_MUL8
#define TFM_MUL9
#define TFM_MUL12
#define TFM_MUL17
#endif
#define TFM_MUL20
#define TFM_MUL24
#define TFM_MUL28
#define TFM_MUL32
#define TFM_MUL48
#define TFM_MUL64
#if 0
#define TFM_SQR3
#define TFM_SQR4
#define TFM_SQR6
#define TFM_SQR7
#define TFM_SQR8
#define TFM_SQR9
#define TFM_SQR12
#define TFM_SQR17
#endif
#define TFM_SQR20
#define TFM_SQR24
#define TFM_SQR28
#define TFM_SQR32
#define TFM_SQR48
#define TFM_SQR64
/* do we want some overflow checks
Not required if you make sure your numbers are within range (e.g. by default a modulus for fp_exptmod() can only be upto 2048 bits long)
*/
/* #define TFM_CHECK */
/* Is the target a P4 Prescott
*/
/* #define TFM_PRESCOTT */
/* Do we want timing resistant fp_exptmod() ?
* This makes it slower but also timing invariant with respect to the exponent
*/
/* #define TFM_TIMING_RESISTANT */
#endif
/* Max size of any number in bits. Basically the largest size you will be multiplying
* should be half [or smaller] of FP_MAX_SIZE-four_digit
*
* You can externally define this or it defaults to 4096-bits [allowing multiplications upto 2048x2048 bits ]
*/
#ifndef FP_MAX_SIZE
// Increase max size of TomsFastMath's numbers from 4096-bits to 8192-bits.
// 8192-bits was the previous maximum size, but was reduced to 4096 bits (the default) accidentally when the library was updated.
// The higher size is required for RSA certificate verification.
#define FP_MAX_SIZE (8192+(8*DIGIT_BIT))
#endif
/* will this lib work? */
#if (CHAR_BIT & 7)
#error CHAR_BIT must be a multiple of eight.
#endif
#if FP_MAX_SIZE % CHAR_BIT
#error FP_MAX_SIZE must be a multiple of CHAR_BIT
#endif
#if __SIZEOF_LONG__ == 8
#define FP_64BIT
#endif
/* autodetect x86-64 and make sure we are using 64-bit digits with x86-64 asm */
#if defined(__x86_64__)
#if defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM)
#error x86-64 detected, x86-32/SSE2/ARM optimizations are not valid!
#endif
#if !defined(TFM_X86_64) && !defined(TFM_NO_ASM)
#define TFM_X86_64
#endif
#endif
#if defined(TFM_X86_64)
#if !defined(FP_64BIT)
#define FP_64BIT
#endif
#endif
/* try to detect x86-32 */
#if defined(__i386__) && !defined(TFM_SSE2)
#if defined(TFM_X86_64) || defined(TFM_ARM)
#error x86-32 detected, x86-64/ARM optimizations are not valid!
#endif
#if !defined(TFM_X86) && !defined(TFM_NO_ASM)
#define TFM_X86
#endif
#endif
/* make sure we're 32-bit for x86-32/sse/arm/ppc32 */
#if (defined(TFM_X86) || defined(TFM_SSE2) || defined(TFM_ARM) || defined(TFM_PPC32)) && defined(FP_64BIT)
#warning x86-32, SSE2 and ARM, PPC32 optimizations require 32-bit digits (undefining)
#undef FP_64BIT
#endif
/* multi asms? */
#ifdef TFM_X86
#define TFM_ASM
#endif
#ifdef TFM_X86_64
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
#ifdef TFM_SSE2
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
#ifdef TFM_ARM
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
#ifdef TFM_PPC32
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
#ifdef TFM_PPC64
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
#ifdef TFM_AVR32
#ifdef TFM_ASM
#error TFM_ASM already defined!
#endif
#define TFM_ASM
#endif
/* we want no asm? */
#ifdef TFM_NO_ASM
#undef TFM_X86
#undef TFM_X86_64
#undef TFM_SSE2
#undef TFM_ARM
#undef TFM_PPC32
#undef TFM_PPC64
#undef TFM_AVR32
#undef TFM_ASM
#endif
/* ECC helpers */
#ifdef TFM_ECC192
#ifdef FP_64BIT
#define TFM_MUL3
#define TFM_SQR3
#else
#define TFM_MUL6
#define TFM_SQR6
#endif
#endif
#ifdef TFM_ECC224
#ifdef FP_64BIT
#define TFM_MUL4
#define TFM_SQR4
#else
#define TFM_MUL7
#define TFM_SQR7
#endif
#endif
#ifdef TFM_ECC256
#ifdef FP_64BIT
#define TFM_MUL4
#define TFM_SQR4
#else
#define TFM_MUL8
#define TFM_SQR8
#endif
#endif
#ifdef TFM_ECC384
#ifdef FP_64BIT
#define TFM_MUL6
#define TFM_SQR6
#else
#define TFM_MUL12
#define TFM_SQR12
#endif
#endif
#ifdef TFM_ECC521
#ifdef FP_64BIT
#define TFM_MUL9
#define TFM_SQR9
#else
#define TFM_MUL17
#define TFM_SQR17
#endif
#endif
/* use arc4random on platforms that support it */
#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__)
#define FP_GEN_RANDOM() arc4random()
#define FP_GEN_RANDOM_MAX 0xffffffff
#endif
/* use rand() as fall-back if there's no better rand function */
#ifndef FP_GEN_RANDOM
#define FP_GEN_RANDOM() rand()
#define FP_GEN_RANDOM_MAX RAND_MAX
#endif
/* some default configurations.
*/
#if defined(FP_64BIT)
/* for GCC only on supported platforms */
#ifndef CRYPT
typedef unsigned long long ulong64;
#endif /* CRYPT */
typedef ulong64 fp_digit;
#define SIZEOF_FP_DIGIT 8
typedef unsigned long fp_word __attribute__ ((mode(TI)));
#else
/* this is to make porting into LibTomCrypt easier :-) */
#ifndef CRYPT
#if defined(_MSC_VER) || defined(__BORLANDC__)
typedef unsigned __int64 ulong64;
typedef signed __int64 long64;
#else
typedef unsigned long long ulong64;
typedef signed long long long64;
#endif /* defined(_MSC_VER) ... */
#endif /* CRYPT */
typedef unsigned int fp_digit;
#define SIZEOF_FP_DIGIT 4
typedef ulong64 fp_word;
#endif /* FP_64BIT */
/* # of digits this is */
#define DIGIT_BIT ((CHAR_BIT) * SIZEOF_FP_DIGIT)
#define FP_MASK (fp_digit)(-1)
#define FP_SIZE (FP_MAX_SIZE/DIGIT_BIT)
/* signs */
#define FP_ZPOS 0
#define FP_NEG 1
/* return codes */
#define FP_OKAY 0
#define FP_VAL 1
#define FP_MEM 2
/* equalities */
#define FP_LT -1 /* less than */
#define FP_EQ 0 /* equal to */
#define FP_GT 1 /* greater than */
/* replies */
#define FP_YES 1 /* yes response */
#define FP_NO 0 /* no response */
/* a FP type */
typedef struct {
fp_digit dp[FP_SIZE];
int used,
sign;
} fp_int;
/* functions */
/* returns a TFM ident string useful for debugging... */
const char *fp_ident(void);
/* initialize [or zero] an fp int */
#define fp_init(a) (void)memset((a), 0, sizeof(fp_int))
#define fp_zero(a) fp_init(a)
/* zero/even/odd ? */
#define fp_iszero(a) (((a)->used == 0) ? FP_YES : FP_NO)
#define fp_iseven(a) (((a)->used >= 0 && (((a)->dp[0] & 1) == 0)) ? FP_YES : FP_NO)
#define fp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? FP_YES : FP_NO)
/* set to a small digit */
void fp_set(fp_int *a, fp_digit b);
/* makes a pseudo-random int of a given size */
void fp_rand(fp_int *a, int digits);
/* copy from a to b */
#define fp_copy(a, b) (void)(((a) != (b)) && memcpy((b), (a), sizeof(fp_int)))
#define fp_init_copy(a, b) fp_copy(b, a)
/* clamp digits */
#define fp_clamp(a) { while ((a)->used && (a)->dp[(a)->used-1] == 0) --((a)->used); (a)->sign = (a)->used ? (a)->sign : FP_ZPOS; }
/* negate and absolute */
#define fp_neg(a, b) { fp_copy(a, b); (b)->sign ^= 1; fp_clamp(b); }
#define fp_abs(a, b) { fp_copy(a, b); (b)->sign = 0; }
/* right shift x digits */
void fp_rshd(fp_int *a, int x);
/* left shift x digits */
void fp_lshd(fp_int *a, int x);
/* signed comparison */
int fp_cmp(fp_int *a, fp_int *b);
/* unsigned comparison */
int fp_cmp_mag(fp_int *a, fp_int *b);
/* power of 2 operations */
void fp_div_2d(fp_int *a, int b, fp_int *c, fp_int *d);
void fp_mod_2d(fp_int *a, int b, fp_int *c);
void fp_mul_2d(fp_int *a, int b, fp_int *c);
void fp_2expt (fp_int *a, int b);
void fp_mul_2(fp_int *a, fp_int *c);
void fp_div_2(fp_int *a, fp_int *c);
/* Counts the number of lsbs which are zero before the first zero bit */
int fp_cnt_lsb(fp_int *a);
/* c = a + b */
void fp_add(fp_int *a, fp_int *b, fp_int *c);
/* c = a - b */
void fp_sub(fp_int *a, fp_int *b, fp_int *c);
/* c = a * b */
void fp_mul(fp_int *a, fp_int *b, fp_int *c);
/* b = a*a */
void fp_sqr(fp_int *a, fp_int *b);
/* a/b => cb + d == a */
int fp_div(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
/* c = a mod b, 0 <= c < b */
int fp_mod(fp_int *a, fp_int *b, fp_int *c);
/* compare against a single digit */
int fp_cmp_d(fp_int *a, fp_digit b);
/* c = a + b */
void fp_add_d(fp_int *a, fp_digit b, fp_int *c);
/* c = a - b */
void fp_sub_d(fp_int *a, fp_digit b, fp_int *c);
/* c = a * b */
void fp_mul_d(fp_int *a, fp_digit b, fp_int *c);
/* a/b => cb + d == a */
int fp_div_d(fp_int *a, fp_digit b, fp_int *c, fp_digit *d);
/* c = a mod b, 0 <= c < b */
int fp_mod_d(fp_int *a, fp_digit b, fp_digit *c);
/* ---> number theory <--- */
/* d = a + b (mod c) */
int fp_addmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
/* d = a - b (mod c) */
int fp_submod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
/* d = a * b (mod c) */
int fp_mulmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
/* c = a * a (mod b) */
int fp_sqrmod(fp_int *a, fp_int *b, fp_int *c);
/* c = 1/a (mod b) */
int fp_invmod(fp_int *a, fp_int *b, fp_int *c);
/* c = (a, b) */
void fp_gcd(fp_int *a, fp_int *b, fp_int *c);
/* c = [a, b] */
void fp_lcm(fp_int *a, fp_int *b, fp_int *c);
/* setups the montgomery reduction */
int fp_montgomery_setup(fp_int *a, fp_digit *mp);
/* computes a = B**n mod b without division or multiplication useful for
* normalizing numbers in a Montgomery system.
*/
void fp_montgomery_calc_normalization(fp_int *a, fp_int *b);
/* computes x/R == x (mod N) via Montgomery Reduction */
void fp_montgomery_reduce(fp_int *a, fp_int *m, fp_digit mp);
/* d = a**b (mod c) */
int fp_exptmod(fp_int *a, fp_int *b, fp_int *c, fp_int *d);
/* primality stuff */
/* perform a Miller-Rabin test of a to the base b and store result in "result" */
void fp_prime_miller_rabin (fp_int * a, fp_int * b, int *result);
#define FP_PRIME_SIZE 256
/* 256 trial divisions + 8 Miller-Rabins, returns FP_YES if probable prime */
int fp_isprime(fp_int *a);
/* extended version of fp_isprime, do 't' Miller-Rabins instead of only 8 */
int fp_isprime_ex(fp_int *a, int t);
/* Primality generation flags */
#define TFM_PRIME_BBS 0x0001 /* BBS style prime */
#define TFM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
#define TFM_PRIME_2MSB_OFF 0x0004 /* force 2nd MSB to 0 */
#define TFM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
/* callback for fp_prime_random, should fill dst with random bytes and return how many read [upto len] */
typedef int tfm_prime_callback(unsigned char *dst, int len, void *dat);
#define fp_prime_random(a, t, size, bbs, cb, dat) fp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?TFM_PRIME_BBS:0, cb, dat)
int fp_prime_random_ex(fp_int *a, int t, int size, int flags, tfm_prime_callback cb, void *dat);
/* radix conersions */
int fp_count_bits(fp_int *a);
int fp_unsigned_bin_size(fp_int *a);
void fp_read_unsigned_bin(fp_int *a, const unsigned char *b, int c);
void fp_to_unsigned_bin(fp_int *a, unsigned char *b);
int fp_signed_bin_size(fp_int *a);
void fp_read_signed_bin(fp_int *a, const unsigned char *b, int c);
void fp_to_signed_bin(fp_int *a, unsigned char *b);
int fp_read_radix(fp_int *a, const char *str, int radix);
int fp_radix_size(fp_int *a, int radix, int *size);
int fp_toradix(fp_int *a, char *str, int radix);
int fp_toradix_n(fp_int * a, char *str, int radix, int maxlen);
#endif
/* $Source$ */
/* $Revision$ */
/* $Date$ */