diff options
Diffstat (limited to 'openssl/crypto/bn/bn.h')
| -rw-r--r-- | openssl/crypto/bn/bn.h | 1194 |
1 files changed, 613 insertions, 581 deletions
diff --git a/openssl/crypto/bn/bn.h b/openssl/crypto/bn/bn.h index 21a1a3fe3..78709d384 100644 --- a/openssl/crypto/bn/bn.h +++ b/openssl/crypto/bn/bn.h @@ -5,21 +5,21 @@ * This package is an SSL implementation written * by Eric Young (eay@cryptsoft.com). * The implementation was written so as to conform with Netscapes SSL. - * + * * This library is free for commercial and non-commercial use as long as * the following conditions are aheared to. The following conditions * apply to all code found in this distribution, be it the RC4, RSA, * lhash, DES, etc., code; not just the SSL code. The SSL documentation * included with this distribution is covered by the same copyright terms * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * + * * Copyright remains Eric Young's, and as such any Copyright notices in * the code are not to be removed. * If this package is used in a product, Eric Young should be given attribution * as the author of the parts of the library used. * This can be in the form of a textual message at program startup or * in documentation (online or textual) provided with the package. - * + * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: @@ -34,10 +34,10 @@ * Eric Young (eay@cryptsoft.com)" * The word 'cryptographic' can be left out if the rouines from the library * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from + * 4. If you include any Windows specific code (or a derivative thereof) from * the apps directory (application code) you must include an acknowledgement: * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * + * * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE @@ -49,7 +49,7 @@ * 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. - * + * * The licence and distribution terms for any publically available version or * derivative of this code cannot be changed. i.e. this code cannot simply be * copied and put under another distribution licence @@ -63,7 +63,7 @@ * are met: * * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. + * 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 @@ -111,191 +111,185 @@ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * - * Portions of the attached software ("Contribution") are developed by + * 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 + * 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 HEADER_BN_H -#include <openssl/e_os2.h> -#ifndef OPENSSL_NO_FP_API -#include <stdio.h> /* FILE */ -#endif -#include <openssl/ossl_typ.h> -#include <openssl/crypto.h> +# include <openssl/e_os2.h> +# ifndef OPENSSL_NO_FP_API +# include <stdio.h> /* FILE */ +# endif +# include <openssl/ossl_typ.h> +# include <openssl/crypto.h> #ifdef __cplusplus extern "C" { #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 +/* + * 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 +# 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). - * 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 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 assembler code. */ -#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \ +/* + * 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 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 assembler code. + */ +# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \ defined(OPENSSL_SYS_WIN32) || defined(linux) -# ifndef BN_DIV2W -# define BN_DIV2W +# ifndef BN_DIV2W +# define BN_DIV2W +# endif # endif -#endif -/* assuming long is 64bit - this is the DEC Alpha - * unsigned long long is only 64 bits :-(, don't define - * BN_LLONG for the DEC Alpha */ -#ifdef SIXTY_FOUR_BIT_LONG -#define BN_ULLONG unsigned long long -#define BN_ULONG unsigned long -#define BN_LONG long -#define BN_BITS 128 -#define BN_BYTES 8 -#define BN_BITS2 64 -#define BN_BITS4 32 -#define BN_MASK (0xffffffffffffffffffffffffffffffffLL) -#define BN_MASK2 (0xffffffffffffffffL) -#define BN_MASK2l (0xffffffffL) -#define BN_MASK2h (0xffffffff00000000L) -#define BN_MASK2h1 (0xffffffff80000000L) -#define BN_TBIT (0x8000000000000000L) -#define BN_DEC_CONV (10000000000000000000UL) -#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 +/* + * assuming long is 64bit - this is the DEC Alpha unsigned long long is only + * 64 bits :-(, don't define BN_LLONG for the DEC Alpha + */ +# ifdef SIXTY_FOUR_BIT_LONG +# define BN_ULLONG unsigned long long +# define BN_ULONG unsigned long +# define BN_LONG long +# define BN_BITS 128 +# define BN_BYTES 8 +# define BN_BITS2 64 +# define BN_BITS4 32 +# define BN_MASK (0xffffffffffffffffffffffffffffffffLL) +# define BN_MASK2 (0xffffffffffffffffL) +# define BN_MASK2l (0xffffffffL) +# define BN_MASK2h (0xffffffff00000000L) +# define BN_MASK2h1 (0xffffffff80000000L) +# define BN_TBIT (0x8000000000000000L) +# define BN_DEC_CONV (10000000000000000000UL) +# 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. - * 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 relevant - * assembler code :-). Do NOT define BN_LLONG. +/* + * 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 relevant assembler + * code :-). Do NOT define BN_LLONG. */ -#ifdef SIXTY_FOUR_BIT -#undef BN_LLONG -#undef BN_ULLONG -#define BN_ULONG unsigned long long -#define BN_LONG long long -#define BN_BITS 128 -#define BN_BYTES 8 -#define BN_BITS2 64 -#define BN_BITS4 32 -#define BN_MASK2 (0xffffffffffffffffLL) -#define BN_MASK2l (0xffffffffL) -#define BN_MASK2h (0xffffffff00000000LL) -#define BN_MASK2h1 (0xffffffff80000000LL) -#define BN_TBIT (0x8000000000000000LL) -#define BN_DEC_CONV (10000000000000000000ULL) -#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 SIXTY_FOUR_BIT +# undef BN_LLONG +# undef BN_ULLONG +# define BN_ULONG unsigned long long +# define BN_LONG long long +# define BN_BITS 128 +# define BN_BYTES 8 +# define BN_BITS2 64 +# define BN_BITS4 32 +# define BN_MASK2 (0xffffffffffffffffLL) +# define BN_MASK2l (0xffffffffL) +# define BN_MASK2h (0xffffffff00000000LL) +# define BN_MASK2h1 (0xffffffff80000000LL) +# define BN_TBIT (0x8000000000000000LL) +# define BN_DEC_CONV (10000000000000000000ULL) +# 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 -#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) +# ifdef THIRTY_TWO_BIT +# 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 int +# define BN_LONG int +# define BN_BITS 64 +# define BN_BYTES 4 +# define BN_BITS2 32 +# define BN_BITS4 16 +# 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 "%u" +# define BN_DEC_FMT2 "%09u" +# define BN_DEC_NUM 9 +# define BN_HEX_FMT1 "%X" +# define BN_HEX_FMT2 "%08X" # endif -#endif -#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 -#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 "%u" -#define BN_DEC_FMT2 "%09u" -#define BN_DEC_NUM 9 -#define BN_HEX_FMT1 "%X" -#define BN_HEX_FMT2 "%08X" -#endif -/* 2011-02-22 SMS. - * In various places, a size_t variable or a type cast to size_t was - * used to perform integer-only operations on pointers. This failed on - * VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t is - * still only 32 bits. What's needed in these cases is an integer type - * with the same size as a pointer, which size_t is not certain to be. - * The only fix here is VMS-specific. +# define BN_DEFAULT_BITS 1280 + +# define BN_FLG_MALLOCED 0x01 +# define BN_FLG_STATIC_DATA 0x02 + +/* + * 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. */ -#if defined(OPENSSL_SYS_VMS) -# if __INITIAL_POINTER_SIZE == 64 -# define PTR_SIZE_INT long long -# else /* __INITIAL_POINTER_SIZE == 64 */ -# define PTR_SIZE_INT int -# endif /* __INITIAL_POINTER_SIZE == 64 [else] */ -#else /* defined(OPENSSL_SYS_VMS) */ -# define PTR_SIZE_INT size_t -#endif /* defined(OPENSSL_SYS_VMS) [else] */ - -#define BN_DEFAULT_BITS 1280 - -#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 +# define BN_FLG_CONSTTIME 0x04 + +# ifdef OPENSSL_NO_DEPRECATED +/* deprecated name for the flag */ +# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME +/* + * 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)) +# 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)) -/* 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, \ +/* + * 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, \ @@ -305,7 +299,7 @@ extern "C" { | (n))) /* Already declared in ossl_typ.h */ -#if 0 +# if 0 typedef struct bignum_st BIGNUM; /* Used for temp variables (declaration hidden in bn_lcl.h) */ typedef struct bignum_ctx BN_CTX; @@ -313,80 +307,81 @@ 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 +# endif -struct bignum_st - { - 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 dmax; /* Size of the d array. */ - int neg; /* one if the number is negative */ - int flags; - }; +struct bignum_st { + 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 dmax; /* Size of the d array. */ + int neg; /* one if the number is negative */ + int flags; +}; /* Used for montgomery multiplication */ -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[2];/* least significant word(s) of Ni; - (type changed with 0.9.9, was "BN_ULONG n0;" before) */ - int flags; - }; - -/* Used for reciprocal division/mod functions - * It cannot be shared between threads +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[2]; /* least significant word(s) of Ni; (type + * changed with 0.9.9, was "BN_ULONG n0;" + * before) */ + int flags; +}; + +/* + * Used for reciprocal division/mod functions It cannot be shared between + * threads */ -struct bn_recp_ctx_st - { - BIGNUM N; /* the divisor */ - BIGNUM Nr; /* the reciprocal */ - int num_bits; - int shift; - int flags; - }; +struct bn_recp_ctx_st { + BIGNUM N; /* the divisor */ + BIGNUM Nr; /* the reciprocal */ + int num_bits; + int shift; + int flags; +}; /* Used for slow "generation" functions. */ -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; - }; +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); } +# 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 : \ +# 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 : \ @@ -399,289 +394,319 @@ int BN_GENCB_call(BN_GENCB *cb, int a, int b); (b) >= 150 ? 18 : \ /* b >= 100 */ 27) -#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) +# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) /* 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) (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 +# 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) (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 const BIGNUM *BN_value_one(void); -char * BN_options(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); +# 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, 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); +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, 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); BIGNUM *BN_new(void); -void BN_init(BIGNUM *); -void BN_clear_free(BIGNUM *a); +void BN_init(BIGNUM *); +void BN_clear_free(BIGNUM *a); BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); -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(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_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); -int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx); +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(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_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 + * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise */ -void BN_set_negative(BIGNUM *b, int n); +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); -#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); +# define BN_is_negative(a) ((a)->neg != 0) + +int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, + 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); +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(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, 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_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, 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_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, - 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); -#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(void *fp, const BIGNUM *a); -#endif -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); + 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, + 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); +# 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(void *fp, const BIGNUM *a); +# endif +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_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(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_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 */ +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(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_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, - const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); BIGNUM *BN_mod_sqrt(BIGNUM *ret, - const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); -void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); +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, - 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) */ +# 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); +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); 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 ); + 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, - 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); +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 *mod,BN_CTX *ctx); -BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from); +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); + const BIGNUM *mod, BN_CTX *ctx); /* BN_BLINDING flags */ -#define BN_BLINDING_NO_UPDATE 0x00000001 -#define BN_BLINDING_NO_RECREATE 0x00000002 +# 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_update(BN_BLINDING *b, 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 +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 +# 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 + 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); +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,const BIGNUM *rdiv,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, const BIGNUM *m, - BN_RECP_CTX *recp, BN_CTX *ctx); - -#ifndef OPENSSL_NO_EC2M - -/* Functions for arithmetic over binary polynomials represented by BIGNUMs. - * +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, 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, 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 - * ignored. - * - * Note that input arguments are not const so that their bit arrays can - * be expanded to the appropriate size if needed. + * 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 +/* + * r = a + b + */ +int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) +/* + * r=a mod p + */ +int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); +/* r = (a * b) mod p */ +int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); +/* r = (a * a) mod p */ +int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +/* r = (1 / b) mod p */ +int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx); +/* r = (a / 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 = sqrt(a) mod p */ +int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); +/* r^2 + r = a mod p */ +int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); +# 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 int p[]); - /* r = a mod p */ -int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, - 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 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 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 int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */ -int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, - const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */ -int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const 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); +/* r = a mod p */ +int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); +/* r = (a * b) mod p */ +int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const int p[], BN_CTX *ctx); +/* r = (a * a) mod p */ +int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], + BN_CTX *ctx); +/* r = (1 / b) mod p */ +int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], + BN_CTX *ctx); +/* r = (a / b) mod p */ +int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + 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 int p[], BN_CTX *ctx); +/* r = sqrt(a) mod p */ +int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, + const int p[], BN_CTX *ctx); +/* r^2 + r = a mod p */ +int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, + const int p[], BN_CTX *ctx); +int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); +int BN_GF2m_arr2poly(const int p[], BIGNUM *a); -#endif +# endif -/* faster mod functions for the 'NIST primes' - * 0 <= a < p^2 */ +/* + * 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); @@ -696,15 +721,16 @@ 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)/BN_BITS2)) -#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) +# define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ + (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); -#ifndef OPENSSL_NO_DEPRECATED +# ifndef OPENSSL_NO_DEPRECATED BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ -#endif +# endif -/* Bignum consistency macros +/*- + * 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 @@ -732,86 +758,91 @@ BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ * coverage for openssl's own code. */ -#ifdef BN_DEBUG +# ifdef BN_DEBUG /* We only need assert() when debugging */ -#include <assert.h> +# include <assert.h> -#ifdef BN_DEBUG_RAND +# 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) +# 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); \ + /* avoid unused variable warning with NDEBUG */ \ + (void)(_bnum2); \ + } 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 +# endif -#define bn_correct_top(a) \ +# define bn_correct_top(a) \ { \ BN_ULONG *ftl; \ - int tmp_top = (a)->top; \ - if (tmp_top > 0) \ - { \ - 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); + int tmp_top = (a)->top; \ + if (tmp_top > 0) \ + { \ + 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_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); +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); +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); /* Primes from RFC 2409 */ BIGNUM *get_rfc2409_prime_768(BIGNUM *bn); @@ -825,10 +856,11 @@ 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); +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 +/* + * 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); @@ -836,65 +868,65 @@ void ERR_load_BN_strings(void); /* Error codes for the BN functions. */ /* Function codes. */ -#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 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_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 +# 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 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_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_INITIALIZED 107 -#define BN_R_NO_INVERSE 108 -#define BN_R_NO_SOLUTION 116 -#define BN_R_P_IS_NOT_PRIME 112 -#define BN_R_TOO_MANY_ITERATIONS 113 -#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 +# 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_INITIALIZED 107 +# define BN_R_NO_INVERSE 108 +# define BN_R_NO_SOLUTION 116 +# 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 } |