#endif
#ifdef THIRTY_TWO_BIT
-#ifdef WIN32
+#if defined(WIN32) && !defined(__GNUC__)
#define BN_ULLONG unsigned _int64
#else
#define BN_ULLONG unsigned long long
/* Used for montgomery multiplication */
typedef struct bn_mont_ctx_st
- {
- int use_word; /* 0 for word form, 1 for long form */
- int ri; /* number of bits in R */
- BIGNUM RR; /* used to convert to montgomery form */
- BIGNUM N; /* The modulus */
- BIGNUM Ni; /* The inverse of N */
- BN_ULONG n0; /* word form of inverse, normally only one of
- * Ni or n0 is defined */
+ {
+ int use_word; /* 0 for word form, 1 for bignum form */
+ int ri; /* number of bits in R */
+ BIGNUM RR; /* used to convert to montgomery form */
+ BIGNUM N; /* The modulus */
+ BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
+ * (Ni is only stored for bignum algorithm) */
+ BN_ULONG n0; /* least significant word of Ni */
int flags;
- } BN_MONT_CTX;
+ } BN_MONT_CTX;
/* Used for reciprocal division/mod functions
* It cannot be shared between threads
#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
r,a,&((mont)->RR),(mont),ctx)
-#define BN_prime_checks (5)
+#define BN_prime_checks 0 /* default: select number of iterations
+ based on the size of the number */
+
+
+/* number of Miller-Rabin iterations for an error rate of less than 2^-80
+ * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
+ * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
+ * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
+ * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
+#define BN_prime_checks_size(b) ((b) >= 1300 ? 2 : \
+ (b) >= 850 ? 3 : \
+ (b) >= 650 ? 4 : \
+ (b) >= 550 ? 5 : \
+ (b) >= 450 ? 6 : \
+ (b) >= 400 ? 7 : \
+ (b) >= 350 ? 8 : \
+ (b) >= 300 ? 9 : \
+ (b) >= 250 ? 12 : \
+ (b) >= 200 ? 15 : \
+ (b) >= 150 ? 18 : \
+ /* b >= 100 */ 27)
#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
#define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
void BN_CTX_init(BN_CTX *c);
void BN_CTX_free(BN_CTX *c);
int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
+int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
int BN_num_bits(const BIGNUM *a);
int BN_num_bits_word(BN_ULONG);
BIGNUM *BN_new(void);
int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
-int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
BN_CTX *ctx);
-int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
+int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
BN_ULONG BN_mod_word(BIGNUM *a, BN_ULONG w);
BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
int BN_mask_bits(BIGNUM *a,int n);
int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
#ifndef WIN16
-int BN_print_fp(FILE *fp, BIGNUM *a);
+int BN_print_fp(FILE *fp, const BIGNUM *a);
#endif
#ifdef HEADER_BIO_H
int BN_print(BIO *fp, const BIGNUM *a);
int BN_dec2bn(BIGNUM **a, const char *str);
int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
-BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int strong,BIGNUM *add,
+BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,BIGNUM *add,
BIGNUM *rem,void (*callback)(int,int,void *),void *cb_arg);
int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,void *),
BN_CTX *ctx,void *cb_arg);