* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
+/* ====================================================================
+ * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
#ifndef OPENSSL_NO_FP_API
#include <stdio.h> /* FILE */
#endif
+#include <openssl/ossl_typ.h>
+#include <openssl/crypto.h>
#ifdef __cplusplus
extern "C" {
#endif
-#ifdef OPENSSL_SYS_VMS
-#undef BN_LLONG /* experimental, so far... */
-#endif
+/* 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.
+ */
+/* #define BN_DEBUG */
+/* #define BN_DEBUG_RAND */
+#ifndef OPENSSL_SMALL_FOOTPRINT
#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
+#endif
/* 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).
#define BN_DEC_FMT1 "%lu"
#define BN_DEC_FMT2 "%019lu"
#define BN_DEC_NUM 19
+#define BN_HEX_FMT1 "%lX"
+#define BN_HEX_FMT2 "%016lX"
#endif
/* This is where the long long data type is 64 bits, but long is 32.
#define BN_DEC_FMT1 "%llu"
#define BN_DEC_FMT2 "%019llu"
#define BN_DEC_NUM 19
+#define BN_HEX_FMT1 "%llX"
+#define BN_HEX_FMT2 "%016llX"
#endif
#ifdef THIRTY_TWO_BIT
-#if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
-#define BN_ULLONG unsigned _int64
-#else
-#define BN_ULLONG unsigned long long
+#ifdef BN_LLONG
+# if defined(_WIN32) && !defined(__GNUC__)
+# define BN_ULLONG unsigned __int64
+# define BN_MASK (0xffffffffffffffffI64)
+# else
+# define BN_ULLONG unsigned long long
+# define BN_MASK (0xffffffffffffffffLL)
+# endif
#endif
-#define BN_ULONG unsigned long
-#define BN_LONG long
+#define BN_ULONG unsigned int
+#define BN_LONG int
#define BN_BITS 64
#define BN_BYTES 4
#define BN_BITS2 32
#define BN_BITS4 16
-#ifdef OPENSSL_SYS_WIN32
-/* VC++ doesn't like the LL suffix */
-#define BN_MASK (0xffffffffffffffffL)
-#else
-#define BN_MASK (0xffffffffffffffffLL)
-#endif
#define BN_MASK2 (0xffffffffL)
#define BN_MASK2l (0xffff)
#define BN_MASK2h1 (0xffff8000L)
#define BN_MASK2h (0xffff0000L)
#define BN_TBIT (0x80000000L)
#define BN_DEC_CONV (1000000000L)
-#define BN_DEC_FMT1 "%lu"
-#define BN_DEC_FMT2 "%09lu"
-#define BN_DEC_NUM 9
-#endif
-
-#ifdef SIXTEEN_BIT
-#ifndef BN_DIV2W
-#define BN_DIV2W
-#endif
-#define BN_ULLONG unsigned long
-#define BN_ULONG unsigned short
-#define BN_LONG short
-#define BN_BITS 32
-#define BN_BYTES 2
-#define BN_BITS2 16
-#define BN_BITS4 8
-#define BN_MASK (0xffffffff)
-#define BN_MASK2 (0xffff)
-#define BN_MASK2l (0xff)
-#define BN_MASK2h1 (0xff80)
-#define BN_MASK2h (0xff00)
-#define BN_TBIT (0x8000)
-#define BN_DEC_CONV (100000)
#define BN_DEC_FMT1 "%u"
-#define BN_DEC_FMT2 "%05u"
-#define BN_DEC_NUM 5
-#endif
-
-#ifdef EIGHT_BIT
-#ifndef BN_DIV2W
-#define BN_DIV2W
-#endif
-#define BN_ULLONG unsigned short
-#define BN_ULONG unsigned char
-#define BN_LONG char
-#define BN_BITS 16
-#define BN_BYTES 1
-#define BN_BITS2 8
-#define BN_BITS4 4
-#define BN_MASK (0xffff)
-#define BN_MASK2 (0xff)
-#define BN_MASK2l (0xf)
-#define BN_MASK2h1 (0xf8)
-#define BN_MASK2h (0xf0)
-#define BN_TBIT (0x80)
-#define BN_DEC_CONV (100)
-#define BN_DEC_FMT1 "%u"
-#define BN_DEC_FMT2 "%02u"
-#define BN_DEC_NUM 2
+#define BN_DEC_FMT2 "%09u"
+#define BN_DEC_NUM 9
+#define BN_HEX_FMT1 "%X"
+#define BN_HEX_FMT2 "%08X"
#endif
#define BN_DEFAULT_BITS 1280
-#ifdef BIGNUM
-#undef BIGNUM
-#endif
-
#define BN_FLG_MALLOCED 0x01
#define BN_FLG_STATIC_DATA 0x02
+#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
+ * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
+ * BN_div() will call BN_div_no_branch,
+ * BN_mod_inverse() will call BN_mod_inverse_no_branch.
+ */
+
+#ifndef OPENSSL_NO_DEPRECATED
+#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
+ /* avoid leaking exponent information through timings
+ * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
+#endif
+
+#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))
-typedef struct bignum_st
+/* get a clone of a BIGNUM with changed flags, for *temporary* use only
+ * (the two BIGNUMs cannot not be used in parallel!) */
+#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
+ (dest)->top=(b)->top, \
+ (dest)->dmax=(b)->dmax, \
+ (dest)->neg=(b)->neg, \
+ (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
+ | ((b)->flags & ~BN_FLG_MALLOCED) \
+ | BN_FLG_STATIC_DATA \
+ | (n)))
+
+/* Already declared in ossl_typ.h */
+#if 0
+typedef struct bignum_st BIGNUM;
+/* Used for temp variables (declaration hidden in bn_lcl.h) */
+typedef struct bignum_ctx BN_CTX;
+typedef struct bn_blinding_st BN_BLINDING;
+typedef struct bn_mont_ctx_st BN_MONT_CTX;
+typedef struct bn_recp_ctx_st BN_RECP_CTX;
+typedef struct bn_gencb_st BN_GENCB;
+#endif
+
+struct bignum_st
{
BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
int top; /* Index of last used d +1. */
int dmax; /* Size of the d array. */
int neg; /* one if the number is negative */
int flags;
- } BIGNUM;
-
-/* Used for temp variables (declaration hidden in bn_lcl.h) */
-typedef struct bignum_ctx BN_CTX;
-
-typedef struct bn_blinding_st
- {
- int init;
- BIGNUM *A;
- BIGNUM *Ai;
- BIGNUM *mod; /* just a reference */
- } BN_BLINDING;
+ };
/* Used for montgomery multiplication */
-typedef struct bn_mont_ctx_st
+struct bn_mont_ctx_st
{
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 */
+ BN_ULONG n0[2];/* least significant word(s) of Ni;
+ (type changed with 0.9.9, was "BN_ULONG n0;" before) */
int flags;
- } BN_MONT_CTX;
+ };
/* Used for reciprocal division/mod functions
* It cannot be shared between threads
*/
-typedef struct bn_recp_ctx_st
+struct bn_recp_ctx_st
{
BIGNUM N; /* the divisor */
BIGNUM Nr; /* the reciprocal */
int num_bits;
int shift;
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 (*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_num_bytes(a) ((BN_num_bits(a)+7)/8)
-/* Note that BN_abs_is_word does not work reliably for w == 0 */
-#define BN_abs_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
-#define BN_is_zero(a) (((a)->top == 0) || BN_abs_is_word(a,0))
+/* 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)))
+#define BN_is_zero(a) ((a)->top == 0)
#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
-#define BN_is_word(a,w) ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \
- BN_is_zero((a)))
+#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))
-/* 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) */
+#endif
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_rand_range(BIGNUM *rnd, const BIGNUM *range);
+int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
int BN_num_bits(const BIGNUM *a);
-int BN_num_bits_word(BN_ULONG);
+int BN_num_bits_word(BN_ULONG l);
+int BN_security_bits(int L, int N);
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);
int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
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);
+/** BN_set_negative sets sign of a BIGNUM
+ * \param b pointer to the BIGNUM object
+ * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
+ */
+void BN_set_negative(BIGNUM *b, int n);
+/** BN_is_negative returns 1 if the BIGNUM is negative
+ * \param a pointer to the BIGNUM object
+ * \return 1 if a < 0 and 0 otherwise
+ */
+#define BN_is_negative(a) ((a)->neg != 0)
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
BN_CTX *ctx);
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_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
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,
char * BN_bn2dec(const BIGNUM *a);
int BN_hex2bn(BIGNUM **a, const char *str);
int BN_dec2bn(BIGNUM **a, const char *str);
+int BN_asc2bn(BIGNUM **a, const char *str);
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,
BIGNUM *BN_mod_sqrt(BIGNUM *ret,
const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
+
/* Deprecated versions */
#ifndef OPENSSL_NO_DEPRECATED
BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
int do_trial_division, BN_GENCB *cb);
+int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
+
+int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
+ const BIGNUM *Xp, const BIGNUM *Xp1, const BIGNUM *Xp2,
+ const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb);
+int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
+ BIGNUM *Xp1, BIGNUM *Xp2,
+ const BIGNUM *Xp,
+ const BIGNUM *e, BN_CTX *ctx,
+ 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,const BIGNUM *a,const BIGNUM *b,
void BN_MONT_CTX_free(BN_MONT_CTX *mont);
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_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
+ const BIGNUM *mod, BN_CTX *ctx);
-BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
+/* BN_BLINDING flags */
+#define BN_BLINDING_NO_UPDATE 0x00000001
+#define BN_BLINDING_NO_RECREATE 0x00000002
+
+BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
void BN_BLINDING_free(BN_BLINDING *b);
int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
-int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
+int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
+int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
+int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
+#ifndef OPENSSL_NO_DEPRECATED
+unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
+void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
+#endif
+CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
+unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
+void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
+BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
+ const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
+ int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
+ BN_MONT_CTX *m_ctx);
+#ifndef OPENSSL_NO_DEPRECATED
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 */
+#endif
void BN_RECP_CTX_init(BN_RECP_CTX *recp);
BN_RECP_CTX *BN_RECP_CTX_new(void);
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
BN_RECP_CTX *recp, BN_CTX *ctx);
+#ifndef OPENSSL_NO_EC2M
+
/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
*
* The BIGNUM::neg property of BIGNUMs representing binary polynomials is
* 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[]);
+int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const 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[],
+ const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const 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[],
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const 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 */
+ const 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 */
+ const 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 */
+ const 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);
+ const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
+int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
+int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
+
+#endif
/* faster mod functions for the 'NIST primes'
* 0 <= a < p^2 */
const BIGNUM *BN_get0_nist_prime_384(void);
const BIGNUM *BN_get0_nist_prime_521(void);
+int (*BN_nist_mod_func(const BIGNUM *p))(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx);
+
+int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range, const BIGNUM *priv,
+ const unsigned char *message, size_t message_len,
+ BN_CTX *ctx);
+
/* library internal functions */
#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
- (a):bn_expand2((a),(bits)/BN_BITS2+1))
+ (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
#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);
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
+#endif
+
+/* 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
-#define bn_fix_top(a) \
+/* 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); \
+ if (_bnum2 != NULL) { \
+ assert((_bnum2->top == 0) || \
+ (_bnum2->d[_bnum2->top - 1] != 0)); \
+ bn_pollute(_bnum2); \
+ } \
+ } while(0)
+
+#define bn_fix_top(a) bn_check_top(a)
+
+#define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
+#define bn_wcheck_size(bn, words) \
+ do { \
+ const BIGNUM *_bnum2 = (bn); \
+ assert(words <= (_bnum2)->dmax && words >= (_bnum2)->top); \
+ } while(0)
+
+#else /* !BN_DEBUG */
+
+#define bn_pollute(a)
+#define bn_check_top(a)
+#define bn_fix_top(a) bn_correct_top(a)
+#define bn_check_size(bn, bits)
+#define bn_wcheck_size(bn, words)
+
+#endif
+
+#define bn_correct_top(a) \
{ \
BN_ULONG *ftl; \
- if ((a)->top > 0) \
+ int tmp_top = (a)->top; \
+ if (tmp_top > 0) \
{ \
- for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
- if (*(ftl--)) break; \
+ for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
+ if (*(ftl--)) break; \
+ (a)->top = tmp_top; \
} \
+ bn_pollute(a); \
}
BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
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
+/* Primes from RFC 2409 */
+BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
+BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
+
+/* Primes from RFC 3526 */
+BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
/* Error codes for the BN functions. */
/* Function codes. */
-#define BN_F_BN_BLINDING_CONVERT 100
-#define BN_F_BN_BLINDING_INVERT 101
+#define BN_F_BNRAND 127
+#define BN_F_BN_BLINDING_CONVERT_EX 100
+#define BN_F_BN_BLINDING_CREATE_PARAM 128
+#define BN_F_BN_BLINDING_INVERT_EX 101
#define BN_F_BN_BLINDING_NEW 102
#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_CTX_START 129
#define BN_F_BN_DIV 107
+#define BN_F_BN_DIV_NO_BRANCH 138
+#define BN_F_BN_DIV_RECP 130
+#define BN_F_BN_EXP 123
#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_GENERATE_DSA_NONCE 140
+#define BN_F_BN_GENERATE_PRIME_EX 141
+#define BN_F_BN_GF2M_MOD 131
+#define BN_F_BN_GF2M_MOD_EXP 132
+#define BN_F_BN_GF2M_MOD_MUL 133
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
+#define BN_F_BN_GF2M_MOD_SQR 136
+#define BN_F_BN_GF2M_MOD_SQRT 137
#define BN_F_BN_MOD_EXP2_MONT 118
#define BN_F_BN_MOD_EXP_MONT 109
+#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
#define BN_F_BN_MOD_EXP_MONT_WORD 117
+#define BN_F_BN_MOD_EXP_RECP 125
+#define BN_F_BN_MOD_EXP_SIMPLE 126
#define BN_F_BN_MOD_INVERSE 110
+#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
#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_R_ARG2_LT_ARG3 100
#define BN_R_BAD_RECIPROCAL 101
#define BN_R_BIGNUM_TOO_LONG 114
+#define BN_R_BITS_TOO_SMALL 118
#define BN_R_CALLED_WITH_EVEN_MODULUS 102
#define BN_R_DIV_BY_ZERO 103
#define BN_R_ENCODING_ERROR 104
#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_NO_SOLUTION 116
+#define BN_R_PRIVATE_KEY_TOO_LARGE 117
#define BN_R_P_IS_NOT_PRIME 112
#define BN_R_TOO_MANY_ITERATIONS 113
#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109