* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the Eric Young open source
+ * license provided above.
+ *
+ * The binary polynomial arithmetic software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
#ifndef HEADER_BN_H
#define HEADER_BN_H
-#ifndef WIN16
+#include <openssl/e_os2.h>
+#ifndef OPENSSL_NO_FP_API
#include <stdio.h> /* FILE */
#endif
-#include <openssl/opensslconf.h>
#ifdef __cplusplus
extern "C" {
#endif
-#ifdef VMS
+/* These preprocessor symbols control various aspects of the bignum headers and
+ * library code. They're not defined by any "normal" configuration, as they are
+ * intended for development and testing purposes. NB: defining all three can be
+ * useful for debugging application code as well as openssl itself.
+ *
+ * BN_DEBUG - turn on various debugging alterations to the bignum code
+ * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
+ * mismanagement of bignum internals. You must also define BN_DEBUG.
+ * BN_STRICT - disables anything (not already caught by BN_DEBUG) that uses the
+ * old ambiguity over zero representation. At some point, this behaviour should
+ * become standard.
+ */
+/* #define BN_DEBUG */
+/* #define BN_DEBUG_RAND */
+/* #define BN_STRICT */
+
+#ifdef OPENSSL_SYS_VMS
#undef BN_LLONG /* experimental, so far... */
#endif
#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
-#define RECP_MUL_MOD
-#define MONT_MUL_MOD
/* This next option uses the C libraries (2 word)/(1 word) function.
* If it is not defined, I use my C version (which is slower).
* The reason for this flag is that when the particular C compiler
* library routine is used, and the library is linked with a different
* compiler, the library is missing. This mostly happens when the
- * library is built with gcc and then linked using nornal cc. This would
- * be a common occurance because gcc normally produces code that is
+ * library is built with gcc and then linked using normal cc. This would
+ * be a common occurrence because gcc normally produces code that is
* 2 times faster than system compilers for the big number stuff.
* For machines with only one compiler (or shared libraries), this should
* be on. Again this in only really a problem on machines
- * using "long long's", are 32bit, and are not using my assember code. */
-#if defined(MSDOS) || defined(WINDOWS) || defined(linux)
-#define BN_DIV2W
+ * using "long long's", are 32bit, and are not using my assembler code. */
+#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
+ defined(OPENSSL_SYS_WIN32) || defined(linux)
+# ifndef BN_DIV2W
+# define BN_DIV2W
+# endif
#endif
/* assuming long is 64bit - this is the DEC Alpha
/* 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_LLONG.
+ * IRIX, on R4000 and above should use this mode, along with the relevant
+ * assembler code :-). Do NOT define BN_LLONG.
*/
#ifdef SIXTY_FOUR_BIT
#undef BN_LLONG
#define BN_MASK2h (0xffffffff00000000LL)
#define BN_MASK2h1 (0xffffffff80000000LL)
#define BN_TBIT (0x8000000000000000LL)
-#define BN_DEC_CONV (10000000000000000000LL)
+#define BN_DEC_CONV (10000000000000000000ULL)
#define BN_DEC_FMT1 "%llu"
#define BN_DEC_FMT2 "%019llu"
#define BN_DEC_NUM 19
#endif
#ifdef THIRTY_TWO_BIT
-#if defined(WIN32) && !defined(__GNUC__)
+#if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
#define BN_ULLONG unsigned _int64
#else
#define BN_ULLONG unsigned long long
#define BN_BYTES 4
#define BN_BITS2 32
#define BN_BITS4 16
-#ifdef WIN32
+#ifdef OPENSSL_SYS_WIN32
/* VC++ doesn't like the LL suffix */
#define BN_MASK (0xffffffffffffffffL)
#else
#define BN_FLG_MALLOCED 0x01
#define BN_FLG_STATIC_DATA 0x02
+#ifndef OPENSSL_NO_DEPRECATED
#define BN_FLG_FREE 0x8000 /* used for debuging */
+#endif
#define BN_set_flags(b,n) ((b)->flags|=(n))
#define BN_get_flags(b,n) ((b)->flags&(n))
BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
int top; /* Index of last used d +1. */
/* The next are internal book keeping for bn_expand. */
- int max; /* Size of the d array. */
+ int dmax; /* Size of the d array. */
int neg; /* one if the number is negative */
int flags;
} BIGNUM;
-/* Used for temp variables */
-#define BN_CTX_NUM 12
-typedef struct bignum_ctx
- {
- int tos;
- BIGNUM bn[BN_CTX_NUM+1];
- int flags;
- } BN_CTX;
+/* Used for temp variables (declaration hidden in bn_lcl.h) */
+typedef struct bignum_ctx BN_CTX;
typedef struct bn_blinding_st
{
BIGNUM *A;
BIGNUM *Ai;
BIGNUM *mod; /* just a reference */
+ unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b;
+ * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */
} BN_BLINDING;
/* 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 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
int flags;
} BN_RECP_CTX;
-#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
- r,a,&((mont)->RR),(mont),ctx)
+/* Used for slow "generation" functions. */
+typedef struct bn_gencb_st BN_GENCB;
+struct bn_gencb_st
+ {
+ unsigned int ver; /* To handle binary (in)compatibility */
+ void *arg; /* callback-specific data */
+ union
+ {
+ /* if(ver==1) - handles old style callbacks */
+ void (*cb_1)(int, int, void *);
+ /* if(ver==2) - new callback style */
+ int (*cb_2)(int, int, BN_GENCB *);
+ } cb;
+ };
+/* Wrapper function to make using BN_GENCB easier, */
+int BN_GENCB_call(BN_GENCB *cb, int a, int b);
+/* Macro to populate a BN_GENCB structure with an "old"-style callback */
+#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
+ BN_GENCB *tmp_gencb = (gencb); \
+ tmp_gencb->ver = 1; \
+ tmp_gencb->arg = (cb_arg); \
+ tmp_gencb->cb.cb_1 = (callback); }
+/* Macro to populate a BN_GENCB structure with a "new"-style callback */
+#define BN_GENCB_set(gencb, callback, cb_arg) { \
+ BN_GENCB *tmp_gencb = (gencb); \
+ tmp_gencb->ver = 2; \
+ tmp_gencb->arg = (cb_arg); \
+ tmp_gencb->cb.cb_2 = (callback); }
#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)))
-#define BN_is_zero(a) (((a)->top == 0) || BN_is_word(a,0))
-#define BN_is_one(a) (BN_is_word((a),1))
-#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
+
+/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
+#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
+ (((w) == 0) && ((a)->top == 0)))
+#ifdef BN_STRICT
+#define BN_is_zero(a) ((a)->top == 0)
+#else
+#define BN_is_zero(a) BN_abs_is_word(a,0)
+#endif
+#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
+#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
+#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
+
#define BN_one(a) (BN_set_word((a),1))
+#define BN_zero_ex(a) \
+ do { \
+ BIGNUM *_tmp_bn = (a); \
+ _tmp_bn->top = 0; \
+ _tmp_bn->neg = 0; \
+ } while(0)
+#ifdef OPENSSL_NO_DEPRECATED
+#define BN_zero(a) BN_zero_ex(a)
+#else
#define BN_zero(a) (BN_set_word((a),0))
+#endif
+/* BN_set_sign(BIGNUM *, int) sets the sign of a BIGNUM
+ * (0 for a non-negative value, 1 for negative) */
+#define BN_set_sign(a,b) ((a)->neg = (b))
+/* BN_get_sign(BIGNUM *) returns the sign of the BIGNUM */
+#define BN_get_sign(a) ((a)->neg)
/*#define BN_ascii2bn(a) BN_hex2bn(a) */
/*#define BN_bn2ascii(a) BN_bn2hex(a) */
-#define bn_expand(n,b) ((((((b+BN_BITS2-1))/BN_BITS2)) <= (n)->max)?\
- (n):bn_expand2((n),(b)/BN_BITS2+1))
-#define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))
-
-#define bn_fix_top(a) \
- { \
- BN_ULONG *ftl; \
- if ((a)->top > 0) \
- { \
- for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
- if (*(ftl--)) break; \
- } \
- }
-
-BIGNUM *BN_value_one(void);
+const BIGNUM *BN_value_one(void);
char * BN_options(void);
BN_CTX *BN_CTX_new(void);
+#ifndef OPENSSL_NO_DEPRECATED
void BN_CTX_init(BN_CTX *c);
+#endif
void BN_CTX_free(BN_CTX *c);
+void BN_CTX_start(BN_CTX *ctx);
+BIGNUM *BN_CTX_get(BN_CTX *ctx);
+void BN_CTX_end(BN_CTX *ctx);
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_rand_range(BIGNUM *rnd, BIGNUM *range);
+int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
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, const BIGNUM *b);
+/* BN_ncopy(): like BN_copy() but copies at most the first n BN_ULONGs */
+BIGNUM *BN_ncopy(BIGNUM *a, const BIGNUM *b, size_t n);
+void BN_swap(BIGNUM *a, 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);
+BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
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_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+int BN_sqr(BIGNUM *r, const BIGNUM *a,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_CTX *ctx);
+#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
+int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
+int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
+int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
+int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
+int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
+
+BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
int BN_mul_word(BIGNUM *a, BN_ULONG w);
int BN_add_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);
+BN_ULONG BN_get_word(const BIGNUM *a);
+
int BN_cmp(const BIGNUM *a, const BIGNUM *b);
void BN_free(BIGNUM *a);
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, 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_lshift1(BIGNUM *r, const BIGNUM *a);
+int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
+
+int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
+int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
+int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
+ const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
+ BN_CTX *ctx,BN_MONT_CTX *m_ctx);
+int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m,BN_CTX *ctx);
+
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);
+#ifndef OPENSSL_NO_FP_API
+int BN_print_fp(FILE *fp, const BIGNUM *a);
#endif
#ifdef HEADER_BIO_H
int BN_print(BIO *fp, const BIGNUM *a);
#else
-int BN_print(char *fp, const BIGNUM *a);
+int BN_print(void *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);
+int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
+int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
+int BN_rshift1(BIGNUM *r, const BIGNUM *a);
void BN_clear(BIGNUM *a);
-BIGNUM *bn_expand2(BIGNUM *b, int bits);
BIGNUM *BN_dup(const BIGNUM *a);
int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
int BN_set_bit(BIGNUM *a, int n);
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, 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);
-void ERR_load_BN_strings(void );
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
-BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
-void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
-BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
-BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
-BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
+int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
+int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
+BIGNUM *BN_mod_inverse(BIGNUM *ret,
+ const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+BIGNUM *BN_mod_sqrt(BIGNUM *ret,
+ const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+
+/* Deprecated versions */
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
+ const BIGNUM *add, const BIGNUM *rem,
+ void (*callback)(int,int,void *),void *cb_arg);
+int BN_is_prime(const BIGNUM *p,int nchecks,
+ void (*callback)(int,int,void *),
+ BN_CTX *ctx,void *cb_arg);
+int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
+ void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
+ int do_trial_division);
+#endif /* !defined(OPENSSL_NO_DEPRECATED) */
+
+/* Newer versions */
+int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
+ const BIGNUM *rem, BN_GENCB *cb);
+int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
+int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
+ int do_trial_division, BN_GENCB *cb);
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);
-int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
+int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
+ BN_MONT_CTX *mont, BN_CTX *ctx);
+#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
+ (r),(a),&((mont)->RR),(mont),(ctx))
+int BN_from_montgomery(BIGNUM *r,const 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,const BIGNUM *modulus,BN_CTX *ctx);
+int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,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);
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,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_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
+ BN_RECP_CTX *recp,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);
+ const BIGNUM *m, BN_CTX *ctx);
+int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
+ BN_RECP_CTX *recp, BN_CTX *ctx);
+
+/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
+ *
+ * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
+ * ignored.
+ *
+ * Note that input arguments are not const so that their bit arrays can
+ * be expanded to the appropriate size if needed.
+ */
+
+int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
+#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
+int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
+int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r = (a * a) mod p */
+int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
+ BN_CTX *ctx); /* r = (1 / b) mod p */
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
+int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
+int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r = sqrt(a) mod p */
+int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r^2 + r = a mod p */
+#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
+/* Some functions allow for representation of the irreducible polynomials
+ * as an unsigned int[], say p. The irreducible f(t) is then of the form:
+ * t^p[0] + t^p[1] + ... + t^p[k]
+ * where m = p[0] > p[1] > ... > p[k] = 0.
+ */
+int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]);
+ /* r = a mod p */
+int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
+ BN_CTX *ctx); /* r = (a * a) mod p */
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[],
+ BN_CTX *ctx); /* r = (1 / b) mod p */
+int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */
+int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
+int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
+ const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
+int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
+ const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
+int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max);
+int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a);
+
+/* faster mod functions for the 'NIST primes'
+ * 0 <= a < p^2 */
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+
+const BIGNUM *BN_get0_nist_prime_192(void);
+const BIGNUM *BN_get0_nist_prime_224(void);
+const BIGNUM *BN_get0_nist_prime_256(void);
+const BIGNUM *BN_get0_nist_prime_384(void);
+const BIGNUM *BN_get0_nist_prime_521(void);
+
+/* library internal functions */
+
+#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
+ (a):bn_expand2((a),(bits)/BN_BITS2+1))
+#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
+BIGNUM *bn_expand2(BIGNUM *a, int words);
+BIGNUM *bn_dup_expand(const BIGNUM *a, int words);
+
+/* Bignum consistency macros
+ * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
+ * bignum data after direct manipulations on the data. There is also an
+ * "internal" macro, bn_check_top(), for verifying that there are no leading
+ * zeroes. Unfortunately, some auditing is required due to the fact that
+ * bn_fix_top() has become an overabused duct-tape because bignum data is
+ * occasionally passed around in an inconsistent state. So the following
+ * changes have been made to sort this out;
+ * - bn_fix_top()s implementation has been moved to bn_correct_top()
+ * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
+ * bn_check_top() is as before.
+ * - if BN_DEBUG *is* defined;
+ * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
+ * consistent. (ed: only if BN_DEBUG_RAND is defined)
+ * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
+ * The idea is to have debug builds flag up inconsistent bignums when they
+ * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
+ * the use of bn_fix_top() was appropriate (ie. it follows directly after code
+ * that manipulates the bignum) it is converted to bn_correct_top(), and if it
+ * was not appropriate, we convert it permanently to bn_check_top() and track
+ * down the cause of the bug. Eventually, no internal code should be using the
+ * bn_fix_top() macro. External applications and libraries should try this with
+ * their own code too, both in terms of building against the openssl headers
+ * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
+ * defined. This not only improves external code, it provides more test
+ * coverage for openssl's own code.
+ */
+
+#ifdef BN_DEBUG
+
+/* We only need assert() when debugging */
+#include <assert.h>
+
+#ifdef BN_DEBUG_RAND
+/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
+#ifndef RAND_pseudo_bytes
+int RAND_pseudo_bytes(unsigned char *buf,int num);
+#define BN_DEBUG_TRIX
+#endif
+#define bn_pollute(a) \
+ do { \
+ const BIGNUM *_bnum1 = (a); \
+ if(_bnum1->top < _bnum1->dmax) { \
+ unsigned char _tmp_char; \
+ /* We cast away const without the compiler knowing, any \
+ * *genuinely* constant variables that aren't mutable \
+ * wouldn't be constructed with top!=dmax. */ \
+ BN_ULONG *_not_const; \
+ memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
+ RAND_pseudo_bytes(&_tmp_char, 1); \
+ memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
+ (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
+ } \
+ } while(0)
+#ifdef BN_DEBUG_TRIX
+#undef RAND_pseudo_bytes
+#endif
+#else
+#define bn_pollute(a)
+#endif
+#define bn_check_top(a) \
+ do { \
+ const BIGNUM *_bnum2 = (a); \
+ assert((_bnum2->top == 0) || \
+ (_bnum2->d[_bnum2->top - 1] != 0)); \
+ bn_pollute(_bnum2); \
+ } while(0)
+
+#define bn_fix_top(a) bn_check_top(a)
+#else /* !BN_DEBUG */
+
+#define bn_pollute(a)
+#define bn_check_top(a)
+#define bn_fix_top(a) bn_correct_top(a)
+
+#endif
+
+#define bn_correct_top(a) \
+ { \
+ BN_ULONG *ftl; \
+ if ((a)->top > 0) \
+ { \
+ for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
+ if (*(ftl--)) break; \
+ } \
+ bn_pollute(a); \
+ }
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+
+#ifdef BN_DEBUG
+void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n);
+# define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
+ fprintf(stderr,"\n");}
+# define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
+#else
+# define bn_print(a)
+# define bn_dump(a,b)
+#endif
+
+int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
/* 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.
*/
+void ERR_load_BN_strings(void);
/* Error codes for the BN functions. */
#define BN_F_BN_BLINDING_UPDATE 103
#define BN_F_BN_BN2DEC 104
#define BN_F_BN_BN2HEX 105
+#define BN_F_BN_CTX_GET 116
#define BN_F_BN_CTX_NEW 106
#define BN_F_BN_DIV 107
#define BN_F_BN_EXPAND2 108
+#define BN_F_BN_EXPAND_INTERNAL 120
+#define BN_F_BN_GF2M_MOD 126
+#define BN_F_BN_GF2M_MOD_DIV 123
+#define BN_F_BN_GF2M_MOD_EXP 127
+#define BN_F_BN_GF2M_MOD_MUL 124
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 128
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 129
+#define BN_F_BN_GF2M_MOD_SQR 125
+#define BN_F_BN_MOD_EXP2_MONT 118
#define BN_F_BN_MOD_EXP_MONT 109
+#define BN_F_BN_MOD_EXP_MONT_WORD 117
#define BN_F_BN_MOD_INVERSE 110
+#define BN_F_BN_MOD_LSHIFT_QUICK 119
#define BN_F_BN_MOD_MUL_RECIPROCAL 111
+#define BN_F_BN_MOD_SQRT 121
#define BN_F_BN_MPI2BN 112
#define BN_F_BN_NEW 113
#define BN_F_BN_RAND 114
+#define BN_F_BN_RAND_RANGE 122
#define BN_F_BN_USUB 115
/* Reason codes. */
#define BN_R_ARG2_LT_ARG3 100
#define BN_R_BAD_RECIPROCAL 101
+#define BN_R_BIGNUM_TOO_LONG 114
#define BN_R_CALLED_WITH_EVEN_MODULUS 102
#define BN_R_DIV_BY_ZERO 103
#define BN_R_ENCODING_ERROR 104
#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
+#define BN_R_INPUT_NOT_REDUCED 110
#define BN_R_INVALID_LENGTH 106
+#define BN_R_INVALID_RANGE 115
+#define BN_R_NOT_A_SQUARE 111
+#define BN_R_NOT_IMPLEMENTED 116
#define BN_R_NOT_INITIALIZED 107
#define BN_R_NO_INVERSE 108
+#define BN_R_P_IS_NOT_PRIME 112
+#define BN_R_TOO_MANY_ITERATIONS 113
+#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
#ifdef __cplusplus
}
#endif
#endif
-
projects / openssl.git / blobdiff