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#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);
/* 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);
/* 256 trial divisions + 8 Miller-Rabins, returns FP_YES if probable prime */
int fp_isprime(fp_int *a);
/* 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);
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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, 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_toradix(fp_int *a, char *str, int radix);
int fp_toradix_n(fp_int * a, char *str, int radix, int maxlen);
/* VARIOUS LOW LEVEL STUFFS */
void s_fp_add(fp_int *a, fp_int *b, fp_int *c);
void s_fp_sub(fp_int *a, fp_int *b, fp_int *c);
void fp_reverse(unsigned char *s, int len);
void fp_mul_comba(fp_int *A, fp_int *B, fp_int *C);
#ifdef TFM_SMALL_SET
void fp_mul_comba_small(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL3
void fp_mul_comba3(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL4
void fp_mul_comba4(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL6
void fp_mul_comba6(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL7
void fp_mul_comba7(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL8
void fp_mul_comba8(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL9
void fp_mul_comba9(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL12
void fp_mul_comba12(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL17
void fp_mul_comba17(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL20
void fp_mul_comba20(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL24
void fp_mul_comba24(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL28
void fp_mul_comba28(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL32
void fp_mul_comba32(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL48
void fp_mul_comba48(fp_int *A, fp_int *B, fp_int *C);
#endif
#ifdef TFM_MUL64
void fp_mul_comba64(fp_int *A, fp_int *B, fp_int *C);
#endif
void fp_sqr_comba(fp_int *A, fp_int *B);
#ifdef TFM_SMALL_SET
void fp_sqr_comba_small(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR3
void fp_sqr_comba3(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR4
void fp_sqr_comba4(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR6
void fp_sqr_comba6(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR7
void fp_sqr_comba7(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR8
void fp_sqr_comba8(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR9
void fp_sqr_comba9(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR12
void fp_sqr_comba12(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR17
void fp_sqr_comba17(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR20
void fp_sqr_comba20(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR24
void fp_sqr_comba24(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR28
void fp_sqr_comba28(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR32
void fp_sqr_comba32(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR48
void fp_sqr_comba48(fp_int *A, fp_int *B);
#endif
#ifdef TFM_SQR64
void fp_sqr_comba64(fp_int *A, fp_int *B);
#endif
extern const char *fp_s_rmap;
#endif
/* $Source: /cvs/libtom/tomsfastmath/src/headers/tfm.h,v $ */
/* $Revision: 1.3 $ */
/* $Date: 2007/02/27 02:38:44 $ */ |