-/* crypto/bn/bn.org */
+/* crypto/bn/bn.h */
/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
#ifndef HEADER_BN_H
#define HEADER_BN_H
-#include "opensslconf.h"
+#ifndef WIN16
+#include <stdio.h> /* FILE */
+#endif
+#include <openssl/opensslconf.h>
#ifdef __cplusplus
extern "C" {
#endif
+#ifdef VMS
+#undef BN_LLONG /* experimental, so far... */
+#endif
+
#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
/* This is where the long long data type is 64 bits, but long is 32.
* For machines where there are 64bit registers, this is the mode to use.
* IRIX, on R4000 and above should use this mode, along with the relevent
- * assember code :-). Do NOT define BN_ULLONG.
+ * assember code :-). Do NOT define BN_LLONG.
*/
#ifdef SIXTY_FOUR_BIT
-#define BN_LLONG
-/* #define BN_ULLONG unsigned long long */
+#undef BN_LLONG
+#undef BN_ULLONG
#define BN_ULONG unsigned long long
#define BN_LONG long long
#define BN_BITS 128
#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_for_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)))
} \
}
-#ifndef NOPROTO
BIGNUM *BN_value_one(void);
char * BN_options(void);
BN_CTX *BN_CTX_new(void);
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_num_bits(BIGNUM *a);
+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);
void BN_init(BIGNUM *);
void BN_clear_free(BIGNUM *a);
-BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b);
-BIGNUM *BN_bin2bn(unsigned char *s,int len,BIGNUM *ret);
-int BN_bn2bin(BIGNUM *a, unsigned char *to);
+BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
+BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
+int BN_bn2bin(const BIGNUM *a, unsigned char *to);
BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
-int BN_bn2mpi(BIGNUM *a, unsigned char *to);
-int BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
-int BN_usub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
-int BN_uadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
-int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
-int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
-int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
-int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
+int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
+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, 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_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_sub_word(BIGNUM *a, BN_ULONG w);
int BN_set_word(BIGNUM *a, BN_ULONG w);
BN_ULONG BN_get_word(BIGNUM *a);
-int BN_cmp(BIGNUM *a, BIGNUM *b);
+int BN_cmp(const BIGNUM *a, const BIGNUM *b);
void BN_free(BIGNUM *a);
-int BN_is_bit_set(BIGNUM *a, int n);
-int BN_lshift(BIGNUM *r, BIGNUM *a, int n);
+int BN_is_bit_set(const BIGNUM *a, int n);
+int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
int BN_lshift1(BIGNUM *r, BIGNUM *a);
int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
-int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
-int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx,
- BN_MONT_CTX *m_ctx);
+int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
BIGNUM *m,BN_CTX *ctx);
int BN_mask_bits(BIGNUM *a,int n);
-int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m,
- BN_CTX *ctx);
+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, BIGNUM *a);
+int BN_print(BIO *fp, const BIGNUM *a);
#else
-int BN_print(char *fp, BIGNUM *a);
+int BN_print(char *fp, const BIGNUM *a);
#endif
int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
int BN_rshift1(BIGNUM *r, BIGNUM *a);
void BN_clear(BIGNUM *a);
BIGNUM *bn_expand2(BIGNUM *b, int bits);
-BIGNUM *BN_dup(BIGNUM *a);
-int BN_ucmp(BIGNUM *a, BIGNUM *b);
+BIGNUM *BN_dup(const BIGNUM *a);
+int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
int BN_set_bit(BIGNUM *a, int n);
int BN_clear_bit(BIGNUM *a, int n);
-char * BN_bn2hex(BIGNUM *a);
-char * BN_bn2dec(BIGNUM *a);
-int BN_hex2bn(BIGNUM **a,char *str);
-int BN_dec2bn(BIGNUM **a,char *str);
+char * BN_bn2hex(const BIGNUM *a);
+char * BN_bn2dec(const BIGNUM *a);
+int BN_hex2bn(BIGNUM **a, const char *str);
+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, BIGNUM *n,BN_CTX *ctx);
-BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int strong,BIGNUM *add,
- BIGNUM *rem,void (*callback)(int,int,char *),char *cb_arg);
-int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,char *),
- BN_CTX *ctx,char *cb_arg);
+BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+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);
+int BN_is_prime_fasttest(BIGNUM *p,int nchecks,
+ void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
+ int do_trial_division);
void ERR_load_BN_strings(void );
BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
BN_MONT_CTX *BN_MONT_CTX_new(void );
void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
- BN_CTX *ctx);
+ BN_CTX *ctx);
int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
void BN_MONT_CTX_free(BN_MONT_CTX *mont);
-int BN_MONT_CTX_set(BN_MONT_CTX *mont,BIGNUM *modulus,BN_CTX *ctx);
+int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx);
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
void BN_set_params(int mul,int high,int low,int mont);
int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
-void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
-void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
-void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
-void bn_sqr_normal(BN_ULONG *r, BN_ULONG *a, int n, BN_ULONG *tmp);
-void bn_sqr_comba8(BN_ULONG *r,BN_ULONG *a);
-void bn_sqr_comba4(BN_ULONG *r,BN_ULONG *a);
-int bn_cmp_words(BN_ULONG *a,BN_ULONG *b,int n);
-void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,BN_ULONG *t);
-void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
- int tn, int n,BN_ULONG *t);
-void bn_sqr_recursive(BN_ULONG *r,BN_ULONG *a, int n2, BN_ULONG *t);
-void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
-
void BN_RECP_CTX_init(BN_RECP_CTX *recp);
BN_RECP_CTX *BN_RECP_CTX_new(void);
void BN_RECP_CTX_free(BN_RECP_CTX *recp);
-int BN_RECP_CTX_set(BN_RECP_CTX *recp,BIGNUM *rdiv,BN_CTX *ctx);
+int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
BN_RECP_CTX *recp,BN_CTX *ctx);
-int BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx);
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m,
BN_RECP_CTX *recp, BN_CTX *ctx);
-#else
-
-BIGNUM *BN_value_one();
-char * BN_options();
-BN_CTX *BN_CTX_new();
-void BN_CTX_init();
-void BN_CTX_free();
-int BN_rand();
-int BN_num_bits();
-int BN_num_bits_word();
-BIGNUM *BN_new();
-void BN_init();
-void BN_clear_free();
-BIGNUM *BN_copy();
-BIGNUM *BN_bin2bn();
-int BN_bn2bin();
-BIGNUM *BN_mpi2bn();
-int BN_bn2mpi();
-int BN_sub();
-int BN_usub();
-int BN_uadd();
-int BN_add();
-int BN_mod();
-int BN_div();
-int BN_mul();
-int BN_sqr();
-BN_ULONG BN_mod_word();
-BN_ULONG BN_div_word();
-int BN_add_word();
-int BN_sub_word();
-int BN_mul_word();
-int BN_set_word();
-unsigned long BN_get_word();
-int BN_cmp();
-void BN_free();
-int BN_is_bit_set();
-int BN_lshift();
-int BN_lshift1();
-int BN_exp();
-int BN_mod_exp();
-int BN_mod_exp_mont();
-int BN_mod_exp_recp();
-int BN_mod_exp_simple();
-int BN_mask_bits();
-int BN_mod_mul_reciprocal();
-int BN_mod_mul();
-#ifndef WIN16
-int BN_print_fp();
-#endif
-int BN_print();
-int BN_reciprocal();
-int BN_rshift();
-int BN_rshift1();
-void BN_clear();
-BIGNUM *bn_expand2();
-BIGNUM *BN_dup();
-int BN_ucmp();
-int BN_set_bit();
-int BN_clear_bit();
-char * BN_bn2hex();
-char * BN_bn2dec();
-int BN_hex2bn();
-int BN_dec2bn();
-int BN_gcd();
-BIGNUM *BN_mod_inverse();
-BIGNUM *BN_generate_prime();
-int BN_is_prime();
-void ERR_load_BN_strings();
-
-BN_ULONG bn_mul_add_words();
-BN_ULONG bn_mul_words();
-void bn_sqr_words();
-BN_ULONG bn_div_words();
-BN_ULONG bn_add_words();
-BN_ULONG bn_sub_words();
-
-int BN_mod_mul_montgomery();
-int BN_from_montgomery();
-BN_MONT_CTX *BN_MONT_CTX_new();
-void BN_MONT_CTX_init();
-void BN_MONT_CTX_free();
-int BN_MONT_CTX_set();
-BN_MONT_CTX *BN_MONT_CTX_copy();
-
-BN_BLINDING *BN_BLINDING_new();
-void BN_BLINDING_free();
-int BN_BLINDING_update();
-int BN_BLINDING_convert();
-int BN_BLINDING_invert();
-
-void BN_set_params();
-int BN_get_params();
-
-void bn_mul_normal();
-void bn_mul_comba8();
-void bn_mul_comba4();
-void bn_sqr_normal();
-void bn_sqr_comba8();
-void bn_sqr_comba4();
-int bn_cmp_words();
-void bn_mul_recursive();
-void bn_mul_part_recursive();
-void bn_sqr_recursive();
-void bn_mul_low_normal();
-
-void BN_RECP_CTX_init();
-BN_RECP_CTX *BN_RECP_CTX_new();
-void BN_RECP_CTX_free();
-int BN_RECP_CTX_set();
-int BN_mod_mul_reciprocal();
-int BN_mod_exp_recp();
-int BN_div_recp();
-
-#endif
-
/* BEGIN ERROR CODES */
+/* The following lines are auto generated by the script mkerr.pl. Any changes
+ * made after this point may be overwritten when the script is next run.
+ */
+
/* Error codes for the BN functions. */
/* Function codes. */
#define BN_R_INVALID_LENGTH 106
#define BN_R_NOT_INITIALIZED 107
#define BN_R_NO_INVERSE 108
-
+
#ifdef __cplusplus
}
#endif
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