* 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
#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
int flags;
} BIGNUM;
+/* Declaring static BIGNUMs as constant is tricky in C; the 'd' data can't be
+ * pre-declared const without having to cast away the const when declaring the
+ * BIGNUM. We use this alternative type for declaring const BIGNUMs. See
+ * bn_nist.c for examples. */
+typedef struct bignum_c_st
+ {
+ const BN_ULONG *d;
+ int top;
+ int dmax;
+ int neg;
+ int flags;
+ } BIGNUM_C;
+#ifdef BN_DEBUG
+/* Use a function to do this so that we can type-check the pointer we're
+ * casting */
+const BIGNUM *BIGNUM_CONST(const BIGNUM_C *bn);
+#else
+/* Use a macro instead */
+#define BIGNUM_CONST(bn) ((const BIGNUM *)bn)
+#endif
+
/* Used for temp variables (declaration hidden in bn_lcl.h) */
typedef struct bignum_ctx BN_CTX;
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 */
int flags;
} BN_RECP_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 */
#define BN_one(a) (BN_set_word((a),1))
#define BN_zero(a) (BN_set_word((a),0))
+/* 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) */
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_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);
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_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_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);
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)?\
BIGNUM *bn_expand2(BIGNUM *a, int words);
BIGNUM *bn_dup_expand(const BIGNUM *a, int words);
-#define bn_fix_top(a) \
+/* 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.
+ */
+#define bn_correct_top(a) \
{ \
BN_ULONG *ftl; \
if ((a)->top > 0) \
} \
}
+/* #define BN_DEBUG_RAND */
+
+#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_check_top(a) \
+ do { \
+ const BIGNUM *_tbignum = (a); \
+ assert((_tbignum->top == 0) || \
+ (_tbignum->d[_tbignum->top - 1] != 0)); \
+ if(_tbignum->top < _tbignum->dmax) { \
+ /* 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, &_tbignum->d, sizeof(BN_ULONG*)); \
+ RAND_pseudo_bytes((unsigned char *)(_not_const + _tbignum->top), \
+ (_tbignum->dmax - _tbignum->top) * sizeof(BN_ULONG)); \
+ } \
+ } while(0)
+#ifdef BN_DEBUG_TRIX
+#undef RAND_pseudo_bytes
+#endif
+#else /* !BN_DEBUG_RAND */
+#define bn_check_top(a) \
+ do { \
+ const BIGNUM *_tbignum = (a); \
+ assert((_tbignum->top == 0) || \
+ (_tbignum->d[_tbignum->top - 1] != 0)); \
+ } while(0)
+#endif
+
+#define bn_fix_top(a) bn_check_top(a)
+
+#else /* !BN_DEBUG */
+
+#define bn_check_top(a) do { ; } while(0)
+#define bn_fix_top(a) bn_correct_top(a)
+
+#endif
+
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);
#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_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
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