openssl/crypto/bn/bn.org

* crypto/bn/bn.org * /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)

• All rights reserved.
• 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:
• 1. Redistributions of source code must retain the copyright
• notice, this list of conditions and the following disclaimer.
• 1. 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.
• 1. All advertising materials mentioning features or use of this software
• must display the following acknowledgement:
• "This product includes cryptographic software written by
• Eric Young (eay@cryptsoft.com)"
• The word 'cryptographic' can be left out if the rouines from the library
• being used are not cryptographic related :-).
• 1. 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
• ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR 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.
• 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
• [including the GNU Public Licence.]

*/

/* WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING

• Always modify bn.org since bn.h is automatically generated from
• it during SSLeay configuration.
• WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING

*/

#ifndef HEADER_BN_H #define HEADER_BN_H

#ifdef __cplusplus extern "C" { #endif

#undef BN_LLONG

#ifdef WIN32 #define BN_LLONG * This comment stops Configure mutilating things * #endif

#define RECP_MUL_MOD #define MONT_MUL_MOD

/* This next option uses the C libraries (2 word)/(1 word) function.

• If it is not defined, I use my C version (which is slower).
• The reason for this flag is that when the particular C compiler
• library routine is used, and the library is linked with a different
• compiler, the library is missing. This mostly happens when the
• library is built with gcc and then linked using nornal cc. This would
• be a common occurance because gcc normally produces code that is
• 2 times faster than system compilers for the big number stuff.
• For machines with only one compiler (or shared libraries), this should
• be on. Again this in only really a problem on machines
• using "long long's", are 32bit, and are not using my assember code. */

#if defined(MSDOS) || defined(WINDOWS) || defined(linux) #define BN_DIV2W #endif

* Only one for the following should be defined * /* The prime number generation stuff may not work when

• EIGHT_BIT but I don't care since I've only used this mode
• for debuging the bignum libraries */

#undef SIXTY_FOUR_BIT_LONG #undef SIXTY_FOUR_BIT #define THIRTY_TWO_BIT #undef SIXTEEN_BIT #undef EIGHT_BIT

/* 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_MASK2 (0xffffffffffffffffL) #define BN_MASK2l (0xffffffffL) #define BN_MASK2h (0xffffffff00000000L) #define BN_MASK2h1 (0xffffffff80000000L) #define BN_TBIT (0x8000000000000000L) #define BN_DEC_CONV (10000000000000000000L) #define BN_DEC_FMT1 "%lu" #define BN_DEC_FMT2 "%019lu" #define BN_DEC_NUM 19 #endif

#ifdef SIXTY_FOUR_BIT #undef BN_LLONG * #define BN_ULLONG unsigned long long * #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 (10000000000000000000L) #define BN_DEC_FMT1 "%lu" #define BN_DEC_FMT2 "%019lu" #define BN_DEC_NUM 19 #endif

#ifdef THIRTY_TWO_BIT #ifdef WIN32 #define BN_ULLONG unsigned _int64 #else #define BN_ULLONG unsigned long long #endif #define BN_ULONG unsigned long #define BN_LONG long #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 "%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_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_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 #endif

#define BN_DEFAULT_BITS 1280

#ifdef BIGNUM #undef BIGNUM #endif

typedef 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 max; / Size of the d array. / int neg; / one if the number is negative */ } BIGNUM;

* Used for temp variables * #define BN_CTX_NUM 12 typedef struct bignum_ctx { int tos; BIGNUM *bn[BN_CTX_NUM+1]; } 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 { int ri; * number of bits in R * BIGNUM RR; / used to convert to montgomery form / BIGNUM *N; / The modulus / BIGNUM *Ni; / The inverse of N / BN_ULONG n0; / word form of inverse, normally only one of

• Ni or n0 is defined */ } BN_MONT_CTX;

#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ r,a,(mont)->RR,(mont),ctx)

#define BN_prime_checks (5)

#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) #define BN_is_word(a,w) (((a)->top = 1) && ((a)->d[0] = (BN_ULONG)(w))) #define BN_is_zero(a) (((a)->top <= 1) && ((a)->d[0] == (BN_ULONG)0)) #define BN_is_one(a) (BN_is_word((a),1)) #define BN_is_odd(a) ((a)->d[0] & 1) #define BN_one(a) (BN_set_word((a),1)) #define BN_zero(a) (BN_set_word((a),0))

#define BN_ascii2bn(a) BN_hex2bn(a) #define BN_bn2ascii(a) BN_bn2hex(a)

#define bn_fix_top(a) \ { \ BN_ULONG *fix_top_l; \ for (fix_top_l= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top–) \ if (*(fix_top_l–)) break; \ }

#define bn_expand(n,b) ((((b)/BN_BITS2) <= (n)->max)?\ (n):bn_expand2((n),(b)/BN_BITS2)) #define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))

#ifndef NOPROTO BIGNUM *BN_value_one(void); char * BN_options(void); BN_CTX *BN_CTX_new(void); void BN_CTX_free(BN_CTX *c); int BN_rand(BIGNUM *rnd, int bits, int top,int bottom); int BN_num_bits(BIGNUM *a); int BN_num_bits_word(BN_ULONG); BIGNUM *BN_new(void); void BN_clear_free(BIGNUM *a); BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b); BIGNUM *BN_bin2bn(unsigned char *s,int len,BIGNUM *ret); int BN_bn2bin(BIGNUM *a, unsigned char *to); BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret); int BN_bn2mpi(BIGNUM *a, unsigned char *to); int BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b); void bn_qsub(BIGNUM *r, BIGNUM *a, BIGNUM *b); void bn_qadd(BIGNUM *r, BIGNUM *a, BIGNUM *b); int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b); int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx); int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx); int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b); int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx); BN_ULONG BN_mod_word(BIGNUM *a, unsigned long w); BN_ULONG BN_div_word(BIGNUM *a, unsigned long w); int BN_mul_word(BIGNUM *a, unsigned long w); int BN_add_word(BIGNUM *a, unsigned long w); int BN_sub_word(BIGNUM *a, unsigned long w); int BN_set_word(BIGNUM *a, unsigned long w); unsigned long BN_get_word(BIGNUM *a); int BN_cmp(BIGNUM *a, BIGNUM *b); void BN_free(BIGNUM *a); int BN_is_bit_set(BIGNUM *a, int n); int BN_lshift(BIGNUM *r, BIGNUM *a, int n); int BN_lshift1(BIGNUM *r, BIGNUM *a); int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx); int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx); int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx, BN_MONT_CTX *m_ctx); int BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx); int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx); int BN_mask_bits(BIGNUM *a,int n); int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y, BIGNUM *m, BIGNUM *i, int nb, BN_CTX *ctx); int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m, BN_CTX *ctx); #ifndef WIN16 int BN_print_fp(FILE *fp, BIGNUM *a); #endif #ifdef HEADER_BIO_H int BN_print(BIO *fp, BIGNUM *a); #else int BN_print(char *fp, BIGNUM *a); #endif int BN_reciprocal(BIGNUM *r, BIGNUM *m, BN_CTX *ctx); int BN_rshift(BIGNUM *r, BIGNUM *a, int n); int BN_rshift1(BIGNUM *r, BIGNUM *a); void BN_clear(BIGNUM *a); BIGNUM *bn_expand2(BIGNUM *b, int bits); BIGNUM *BN_dup(BIGNUM *a); int BN_ucmp(BIGNUM *a, BIGNUM *b); int BN_set_bit(BIGNUM *a, int n); int BN_clear_bit(BIGNUM *a, int n); char * BN_bn2hex(BIGNUM *a); char * BN_bn2dec(BIGNUM *a); int BN_hex2bn(BIGNUM **a,char *str); int BN_dec2bn(BIGNUM **a,char *str); int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx); BIGNUM *BN_mod_inverse(BIGNUM *a, BIGNUM *n,BN_CTX *ctx); BIGNUM *BN_generate_prime(int bits,int strong,BIGNUM *add, BIGNUM *rem,void (*callback)(int,int,char *),char *cb_arg); int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,char *), BN_CTX *ctx,char *cb_arg); void ERR_load_BN_strings(void );

BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num); BN_ULONG bn_div64(BN_ULONG h, BN_ULONG l, BN_ULONG d); BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);

BN_MONT_CTX *BN_MONT_CTX_new(void ); int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont, BN_CTX *ctx); int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx); void BN_MONT_CTX_free(BN_MONT_CTX *mont); int BN_MONT_CTX_set(BN_MONT_CTX *mont,BIGNUM *modulus,BN_CTX *ctx);

BN_BLINDING *BN_BLINDING_new(BIGNUM *A,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_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);

#else

BIGNUM *BN_value_one(); char * BN_options(); BN_CTX *BN_CTX_new(); void BN_CTX_free(); int BN_rand(); int BN_num_bits(); int BN_num_bits_word(); BIGNUM *BN_new(); void BN_clear_free(); BIGNUM *BN_copy(); BIGNUM *BN_bin2bn(); int BN_bn2bin(); BIGNUM *BN_mpi2bn(); int BN_bn2mpi(); int BN_sub(); void bn_qsub(); void bn_qadd(); int BN_add(); int BN_mod(); int BN_div(); int BN_mul(); int BN_sqr(); BN_ULONG BN_mod_word(); BN_ULONG BN_div_word(); int BN_add_word(); int BN_sub_word(); int BN_mul_word(); int BN_set_word(); unsigned long BN_get_word(); int BN_cmp(); void BN_free(); int BN_is_bit_set(); int BN_lshift(); int BN_lshift1(); int BN_exp(); int BN_mod_exp(); int BN_mod_exp_mont(); int BN_mod_exp_recp(); int BN_mod_exp_simple(); int BN_mask_bits(); int BN_mod_mul_reciprocal(); int BN_mod_mul(); #ifndef WIN16 int BN_print_fp(); #endif int BN_print(); int BN_reciprocal(); int BN_rshift(); int BN_rshift1(); void BN_clear(); BIGNUM *bn_expand2(); BIGNUM *BN_dup(); int BN_ucmp(); int BN_set_bit(); int BN_clear_bit(); char * BN_bn2hex(); char * BN_bn2dec(); int BN_hex2bn(); int BN_dec2bn(); int BN_gcd(); BIGNUM *BN_mod_inverse(); BIGNUM *BN_generate_prime(); int BN_is_prime(); void ERR_load_BN_strings();

BN_ULONG bn_mul_add_words(); BN_ULONG bn_mul_words(); void bn_sqr_words(); BN_ULONG bn_div64(); BN_ULONG bn_add_words();

int BN_mod_mul_montgomery(); int BN_from_montgomery(); BN_MONT_CTX *BN_MONT_CTX_new(); void BN_MONT_CTX_free(); int BN_MONT_CTX_set();

BN_BLINDING *BN_BLINDING_new(); void BN_BLINDING_free(); int BN_BLINDING_update(); int BN_BLINDING_convert(); int BN_BLINDING_invert();

#endif

* BEGIN ERROR CODES * * 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_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_NEW 106 #define BN_F_BN_DIV 107 #define BN_F_BN_EXPAND2 108 #define BN_F_BN_MOD_EXP_MONT 109 #define BN_F_BN_MOD_INVERSE 110 #define BN_F_BN_MOD_MUL_RECIPROCAL 111 #define BN_F_BN_MPI2BN 112 #define BN_F_BN_NEW 113 #define BN_F_BN_RAND 114

* Reason codes. * #define BN_R_BAD_RECIPROCAL 100 #define BN_R_CALLED_WITH_EVEN_MODULUS 101 #define BN_R_DIV_BY_ZERO 102 #define BN_R_ENCODING_ERROR 103 #define BN_R_INVALID_LENGTH 104 #define BN_R_NOT_INITALISED 105 #define BN_R_NO_INVERSE 106

#ifdef __cplusplus } #endif #endif