diff options
Diffstat (limited to 'generic/tclTomMath.h')
-rw-r--r-- | generic/tclTomMath.h | 273 |
1 files changed, 117 insertions, 156 deletions
diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index dd9edaf..771025e 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -10,11 +10,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ +#include "tclInt.h" #include "tclTomMathDecls.h" #ifndef MODULE_SCOPE #define MODULE_SCOPE extern @@ -22,33 +23,15 @@ -#ifndef MIN -# define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX -# define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(NEVER) /* 128-bit ints fail in too many places */ -# if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) -# define MP_64BIT -# endif +#if defined(NEVER) /* 128-bit ints fail in too many places */ + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) + #define MP_64BIT + #endif #endif /* some default configurations. @@ -61,83 +44,79 @@ extern "C" { */ #ifdef MP_8BIT #ifndef MP_DIGIT_DECLARED - typedef unsigned char mp_digit; + typedef uint8_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned short mp_word; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) #ifndef MP_DIGIT_DECLARED - typedef unsigned short mp_digit; + typedef uint16_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ -#ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; -#endif - #ifndef MP_DIGIT_DECLARED - typedef unsigned long mp_digit; + typedef uint64_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word __attribute__ ((mode(TI))); +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; +#endif -# define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - - /* 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 -#endif + /* this is to make porting into LibTomCrypt easier :-) */ #ifndef MP_DIGIT_DECLARED - typedef unsigned int mp_digit; + typedef uint32_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef ulong64 mp_word; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 -# define MP_28BIT -#endif -#endif - -/* define heap macros */ -#if 0 /* these are macros in tclTomMathDecls.h */ -#ifndef CRYPT - /* default to libc stuff */ -# ifndef XMALLOC -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc -# else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); -# endif + #define DIGIT_BIT 28 + #define MP_28BIT #endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT -# define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -180,15 +159,15 @@ MODULE_SCOPE int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ #ifndef MP_INT_DECLARED @@ -209,9 +188,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -/* -char *mp_error_to_string(int code); -*/ +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -256,8 +233,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ /* @@ -274,9 +252,25 @@ void mp_set(mp_int *a, mp_digit b); int mp_set_int(mp_int *a, unsigned long b); */ +/* set a platform dependent unsigned long value */ +/* +int mp_set_long(mp_int *a, unsigned long b); +*/ + +/* set a platform dependent unsigned long long value */ +/* +int mp_set_long_long(mp_int *a, unsigned long long b); +*/ + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ /* int mp_init_set (mp_int * a, mp_digit b); @@ -302,6 +296,16 @@ int mp_init_copy(mp_int *a, mp_int *b); void mp_clamp(mp_int *a); */ +/* import binary data */ +/* +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); +*/ + +/* export binary data */ +/* +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); +*/ + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -314,7 +318,7 @@ void mp_rshd(mp_int *a, int b); int mp_lshd(mp_int *a, int b); */ -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ /* int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); */ @@ -324,7 +328,7 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); int mp_div_2(mp_int *a, mp_int *b); */ -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ /* int mp_mul_2d(const mp_int *a, int b, mp_int *c); */ @@ -334,7 +338,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c); int mp_mul_2(mp_int *a, mp_int *b); */ -/* c = a mod 2**d */ +/* c = a mod 2**b */ /* int mp_mod_2d(const mp_int *a, int b, mp_int *c); */ @@ -460,6 +464,9 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* c = a mod b, 0 <= c < b */ /* @@ -515,12 +522,20 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); /* int mp_n_root(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* special sqrt algo */ /* int mp_sqrt(mp_int *arg, mp_int *ret); */ +/* special sqrt (mod prime) */ +/* +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); +*/ + /* is number a square? */ /* int mp_is_square(mp_int *arg, int *ret); @@ -616,14 +631,14 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 + #define PRIME_SIZE 31 #else -# define PRIME_SIZE 256 + #define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ #if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const mp_digit ltm_prime_tab[]; +MODULE_SCOPE const mp_digit ltm_prime_tab[PRIME_SIZE]; #endif /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ @@ -646,7 +661,7 @@ int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); */ /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ /* int mp_prime_rabin_miller_trials(int size); @@ -673,7 +688,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); */ /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -686,10 +701,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -745,12 +759,14 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); */ +#ifndef LTM_NO_FILE /* int mp_fread(mp_int *a, int radix, FILE *stream); */ /* int mp_fwrite(mp_int *a, int radix, FILE *stream); */ +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -764,69 +780,14 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -/* -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -*/ -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -/* -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_toom_sqr(mp_int *a, mp_int *b); -*/ -/* -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -*/ -/* -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -*/ -/* -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -*/ -/* -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -*/ -/* -void bn_reverse(unsigned char *s, int len); -*/ - -#if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const char *mp_s_rmap; -#endif - #ifdef __cplusplus -} + } #endif #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ + |