/* 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. * 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 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 :-). * 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 * 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) #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) #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) #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) #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) #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; /* 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_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))) #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); 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_add_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_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); 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_bn2ascii(BIGNUM *a); int BN_ascii2bn(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)); int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int), BN_CTX *ctx); void ERR_load_BN_strings(void ); BN_ULONG bn_mul_add_word(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); BN_ULONG bn_mul_word(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_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); #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(); 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_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_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_bn2ascii(); int BN_ascii2bn(); 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_word(); BN_ULONG bn_mul_word(); void bn_sqr_words(); BN_ULONG bn_div64(); 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(); #endif /* BEGIN ERROR CODES */ /* Error codes for the BN functions. */ /* Function codes. */ #define BN_F_BN_BL_CTX_INIT 100 #define BN_F_BN_BL_CTX_NEW 101 #define BN_F_BN_BN2ASCII 102 #define BN_F_BN_CTX_NEW 103 #define BN_F_BN_DIV 104 #define BN_F_BN_EXPAND2 105 #define BN_F_BN_MOD_EXP_MONT 106 #define BN_F_BN_MOD_INVERSE 107 #define BN_F_BN_MOD_MUL_RECIPROCAL 108 #define BN_F_BN_NEW 109 #define BN_F_BN_RAND 110 /* 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_NO_INVERSE 103 #ifdef __cplusplus } #endif #endif