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| author | Steve Langasek <steve.langasek@ubuntu.com> | 2012-08-29 16:51:10 -0700 |
|---|---|---|
| committer | Steve Langasek <steve.langasek@canonical.com> | 2012-08-29 16:51:10 -0700 |
| commit | 3e5756512efd00beca8e76ea70d5924056aa4714 (patch) | |
| tree | 0ec3924871c45ea16b10e5ff536e21b7a77af7c9 /Cryptlib/OpenSSL/crypto/bn | |
| download | efi-boot-shim-3e5756512efd00beca8e76ea70d5924056aa4714.tar.gz efi-boot-shim-3e5756512efd00beca8e76ea70d5924056aa4714.zip | |
Import upstream version 0~20120728.3df9e294
Diffstat (limited to 'Cryptlib/OpenSSL/crypto/bn')
32 files changed, 15100 insertions, 0 deletions
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn.h b/Cryptlib/OpenSSL/crypto/bn/bn.h new file mode 100644 index 00000000..f1719a58 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn.h @@ -0,0 +1,855 @@ +/* crypto/bn/bn.h */ +/* 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.] + */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the Eric Young open source + * license provided above. + * + * The binary polynomial arithmetic software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ + +#ifndef HEADER_BN_H +#define HEADER_BN_H + +#include <openssl/e_os2.h> +#ifndef OPENSSL_NO_FP_API +#include <stdio.h> /* FILE */ +#endif +#include <openssl/ossl_typ.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 + * mismanagement of bignum internals. You must also define BN_DEBUG. + */ +/* #define BN_DEBUG */ +/* #define BN_DEBUG_RAND */ + +#define BN_MUL_COMBA +#define BN_SQR_COMBA +#define BN_RECURSION + +/* 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 +# 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 +#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. + */ +#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 +#endif + +#ifdef THIRTY_TWO_BIT +#ifdef BN_LLONG +# if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__) +# define BN_ULLONG unsigned __int64 +# else +# define BN_ULLONG unsigned long long +# endif +#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 +#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 +#endif + +#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 + +#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, \ + (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. */ + /* 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) */ +#if 0 + /* OpenSSL 0.9.9 preview: */ + BN_ULONG n0[2];/* least significant word(s) of Ni */ +#else + BN_ULONG n0; /* least significant word of Ni */ +#endif + 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; + }; + +/* 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; + }; +/* 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 */ + +/* 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 : \ + (b) >= 450 ? 6 : \ + (b) >= 400 ? 7 : \ + (b) >= 350 ? 8 : \ + (b) >= 300 ? 9 : \ + (b) >= 250 ? 12 : \ + (b) >= 200 ? 15 : \ + (b) >= 150 ? 18 : \ + /* b >= 100 */ 27) + +#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 + +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, 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); +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); +/** 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); +#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); +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_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); +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_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); +BIGNUM *BN_mod_sqrt(BIGNUM *ret, + const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); + +/* Deprecated versions */ +#ifndef OPENSSL_NO_DEPRECATED +BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe, + const BIGNUM *add, const BIGNUM *rem, + void (*callback)(int,int,void *),void *cb_arg); +int BN_is_prime(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_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, + 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); +BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, + const BIGNUM *mod, BN_CTX *ctx); + +/* 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, /* const */ 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 *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 *); +unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); +void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long); +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, /* const */ 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); +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); + +/* Functions for arithmetic over binary polynomials represented by BIGNUMs. + * + * The BIGNUM::neg property of BIGNUMs representing binary polynomials is + * ignored. + * + * Note that input arguments are not const so that their bit arrays can + * be expanded to the appropriate size if needed. + */ + +int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/ +#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) +int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/ +int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */ +int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); /* r = (a * a) mod p */ +int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, + BN_CTX *ctx); /* r = (1 / b) mod p */ +int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */ +int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */ +int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); /* r = sqrt(a) mod p */ +int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); /* r^2 + r = a mod p */ +#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) +/* Some functions allow for representation of the irreducible polynomials + * as an unsigned int[], say p. The irreducible f(t) is then of the form: + * t^p[0] + t^p[1] + ... + t^p[k] + * where m = p[0] > p[1] > ... > p[k] = 0. + */ +int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]); + /* r = a mod p */ +int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */ +int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], + BN_CTX *ctx); /* r = (a * a) mod p */ +int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[], + BN_CTX *ctx); /* r = (1 / b) mod p */ +int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */ +int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */ +int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, + const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */ +int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, + const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */ +int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max); +int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a); + +/* faster mod functions for the 'NIST primes' + * 0 <= a < p^2 */ +int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); + +const BIGNUM *BN_get0_nist_prime_192(void); +const BIGNUM *BN_get0_nist_prime_224(void); +const BIGNUM *BN_get0_nist_prime_256(void); +const BIGNUM *BN_get0_nist_prime_384(void); +const BIGNUM *BN_get0_nist_prime_521(void); + +/* library internal functions */ + +#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ + (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 +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 + +/* 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) + +#else /* !BN_DEBUG */ + +#define bn_pollute(a) +#define bn_check_top(a) +#define bn_fix_top(a) bn_correct_top(a) + +#endif + +#define bn_correct_top(a) \ + { \ + BN_ULONG *ftl; \ + if ((a)->top > 0) \ + { \ + for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \ + if (*(ftl--)) break; \ + } \ + 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); +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); + +/* 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); + +/* BEGIN ERROR CODES */ +/* 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); + +/* 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 + +/* 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 + +#ifdef __cplusplus +} +#endif +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_add.c b/Cryptlib/OpenSSL/crypto/bn/bn_add.c new file mode 100755 index 00000000..94051637 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_add.c @@ -0,0 +1,313 @@ +/* crypto/bn/bn_add.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +/* r can == a or b */ +int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) + { + const BIGNUM *tmp; + int a_neg = a->neg, ret; + + bn_check_top(a); + bn_check_top(b); + + /* a + b a+b + * a + -b a-b + * -a + b b-a + * -a + -b -(a+b) + */ + if (a_neg ^ b->neg) + { + /* only one is negative */ + if (a_neg) + { tmp=a; a=b; b=tmp; } + + /* we are now a - b */ + + if (BN_ucmp(a,b) < 0) + { + if (!BN_usub(r,b,a)) return(0); + r->neg=1; + } + else + { + if (!BN_usub(r,a,b)) return(0); + r->neg=0; + } + return(1); + } + + ret = BN_uadd(r,a,b); + r->neg = a_neg; + bn_check_top(r); + return ret; + } + +/* unsigned add of b to a */ +int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) + { + int max,min,dif; + BN_ULONG *ap,*bp,*rp,carry,t1,t2; + const BIGNUM *tmp; + + bn_check_top(a); + bn_check_top(b); + + if (a->top < b->top) + { tmp=a; a=b; b=tmp; } + max = a->top; + min = b->top; + dif = max - min; + + if (bn_wexpand(r,max+1) == NULL) + return 0; + + r->top=max; + + + ap=a->d; + bp=b->d; + rp=r->d; + + carry=bn_add_words(rp,ap,bp,min); + rp+=min; + ap+=min; + bp+=min; + + if (carry) + { + while (dif) + { + dif--; + t1 = *(ap++); + t2 = (t1+1) & BN_MASK2; + *(rp++) = t2; + if (t2) + { + carry=0; + break; + } + } + if (carry) + { + /* carry != 0 => dif == 0 */ + *rp = 1; + r->top++; + } + } + if (dif && rp != ap) + while (dif--) + /* copy remaining words if ap != rp */ + *(rp++) = *(ap++); + r->neg = 0; + bn_check_top(r); + return 1; + } + +/* unsigned subtraction of b from a, a must be larger than b. */ +int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) + { + int max,min,dif; + register BN_ULONG t1,t2,*ap,*bp,*rp; + int i,carry; +#if defined(IRIX_CC_BUG) && !defined(LINT) + int dummy; +#endif + + bn_check_top(a); + bn_check_top(b); + + max = a->top; + min = b->top; + dif = max - min; + + if (dif < 0) /* hmm... should not be happening */ + { + BNerr(BN_F_BN_USUB,BN_R_ARG2_LT_ARG3); + return(0); + } + + if (bn_wexpand(r,max) == NULL) return(0); + + ap=a->d; + bp=b->d; + rp=r->d; + +#if 1 + carry=0; + for (i = min; i != 0; i--) + { + t1= *(ap++); + t2= *(bp++); + if (carry) + { + carry=(t1 <= t2); + t1=(t1-t2-1)&BN_MASK2; + } + else + { + carry=(t1 < t2); + t1=(t1-t2)&BN_MASK2; + } +#if defined(IRIX_CC_BUG) && !defined(LINT) + dummy=t1; +#endif + *(rp++)=t1&BN_MASK2; + } +#else + carry=bn_sub_words(rp,ap,bp,min); + ap+=min; + bp+=min; + rp+=min; +#endif + if (carry) /* subtracted */ + { + if (!dif) + /* error: a < b */ + return 0; + while (dif) + { + dif--; + t1 = *(ap++); + t2 = (t1-1)&BN_MASK2; + *(rp++) = t2; + if (t1) + break; + } + } +#if 0 + memcpy(rp,ap,sizeof(*rp)*(max-i)); +#else + if (rp != ap) + { + for (;;) + { + if (!dif--) break; + rp[0]=ap[0]; + if (!dif--) break; + rp[1]=ap[1]; + if (!dif--) break; + rp[2]=ap[2]; + if (!dif--) break; + rp[3]=ap[3]; + rp+=4; + ap+=4; + } + } +#endif + + r->top=max; + r->neg=0; + bn_correct_top(r); + return(1); + } + +int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) + { + int max; + int add=0,neg=0; + const BIGNUM *tmp; + + bn_check_top(a); + bn_check_top(b); + + /* a - b a-b + * a - -b a+b + * -a - b -(a+b) + * -a - -b b-a + */ + if (a->neg) + { + if (b->neg) + { tmp=a; a=b; b=tmp; } + else + { add=1; neg=1; } + } + else + { + if (b->neg) { add=1; neg=0; } + } + + if (add) + { + if (!BN_uadd(r,a,b)) return(0); + r->neg=neg; + return(1); + } + + /* We are actually doing a - b :-) */ + + max=(a->top > b->top)?a->top:b->top; + if (bn_wexpand(r,max) == NULL) return(0); + if (BN_ucmp(a,b) < 0) + { + if (!BN_usub(r,b,a)) return(0); + r->neg=1; + } + else + { + if (!BN_usub(r,a,b)) return(0); + r->neg=0; + } + bn_check_top(r); + return(1); + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_asm.c b/Cryptlib/OpenSSL/crypto/bn/bn_asm.c new file mode 100755 index 00000000..99bc2de4 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_asm.c @@ -0,0 +1,860 @@ +/* crypto/bn/bn_asm.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#ifndef BN_DEBUG +# undef NDEBUG /* avoid conflicting definitions */ +# define NDEBUG +#endif + +#include <stdio.h> +#include <assert.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +#if defined(BN_LLONG) || defined(BN_UMULT_HIGH) + +BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) + { + BN_ULONG c1=0; + + assert(num >= 0); + if (num <= 0) return(c1); + + while (num&~3) + { + mul_add(rp[0],ap[0],w,c1); + mul_add(rp[1],ap[1],w,c1); + mul_add(rp[2],ap[2],w,c1); + mul_add(rp[3],ap[3],w,c1); + ap+=4; rp+=4; num-=4; + } + if (num) + { + mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1; + mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1; + mul_add(rp[2],ap[2],w,c1); return c1; + } + + return(c1); + } + +BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) + { + BN_ULONG c1=0; + + assert(num >= 0); + if (num <= 0) return(c1); + + while (num&~3) + { + mul(rp[0],ap[0],w,c1); + mul(rp[1],ap[1],w,c1); + mul(rp[2],ap[2],w,c1); + mul(rp[3],ap[3],w,c1); + ap+=4; rp+=4; num-=4; + } + if (num) + { + mul(rp[0],ap[0],w,c1); if (--num == 0) return c1; + mul(rp[1],ap[1],w,c1); if (--num == 0) return c1; + mul(rp[2],ap[2],w,c1); + } + return(c1); + } + +void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n) + { + assert(n >= 0); + if (n <= 0) return; + while (n&~3) + { + sqr(r[0],r[1],a[0]); + sqr(r[2],r[3],a[1]); + sqr(r[4],r[5],a[2]); + sqr(r[6],r[7],a[3]); + a+=4; r+=8; n-=4; + } + if (n) + { + sqr(r[0],r[1],a[0]); if (--n == 0) return; + sqr(r[2],r[3],a[1]); if (--n == 0) return; + sqr(r[4],r[5],a[2]); + } + } + +#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */ + +BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) + { + BN_ULONG c=0; + BN_ULONG bl,bh; + + assert(num >= 0); + if (num <= 0) return((BN_ULONG)0); + + bl=LBITS(w); + bh=HBITS(w); + + for (;;) + { + mul_add(rp[0],ap[0],bl,bh,c); + if (--num == 0) break; + mul_add(rp[1],ap[1],bl,bh,c); + if (--num == 0) break; + mul_add(rp[2],ap[2],bl,bh,c); + if (--num == 0) break; + mul_add(rp[3],ap[3],bl,bh,c); + if (--num == 0) break; + ap+=4; + rp+=4; + } + return(c); + } + +BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) + { + BN_ULONG carry=0; + BN_ULONG bl,bh; + + assert(num >= 0); + if (num <= 0) return((BN_ULONG)0); + + bl=LBITS(w); + bh=HBITS(w); + + for (;;) + { + mul(rp[0],ap[0],bl,bh,carry); + if (--num == 0) break; + mul(rp[1],ap[1],bl,bh,carry); + if (--num == 0) break; + mul(rp[2],ap[2],bl,bh,carry); + if (--num == 0) break; + mul(rp[3],ap[3],bl,bh,carry); + if (--num == 0) break; + ap+=4; + rp+=4; + } + return(carry); + } + +void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n) + { + assert(n >= 0); + if (n <= 0) return; + for (;;) + { + sqr64(r[0],r[1],a[0]); + if (--n == 0) break; + + sqr64(r[2],r[3],a[1]); + if (--n == 0) break; + + sqr64(r[4],r[5],a[2]); + if (--n == 0) break; + + sqr64(r[6],r[7],a[3]); + if (--n == 0) break; + + a+=4; + r+=8; + } + } + +#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */ + +#if defined(BN_LLONG) && defined(BN_DIV2W) + +BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) + { + return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d)); + } + +#else + +/* Divide h,l by d and return the result. */ +/* I need to test this some more :-( */ +BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) + { + BN_ULONG dh,dl,q,ret=0,th,tl,t; + int i,count=2; + + if (d == 0) return(BN_MASK2); + + i=BN_num_bits_word(d); + assert((i == BN_BITS2) || (h <= (BN_ULONG)1<<i)); + + i=BN_BITS2-i; + if (h >= d) h-=d; + + if (i) + { + d<<=i; + h=(h<<i)|(l>>(BN_BITS2-i)); + l<<=i; + } + dh=(d&BN_MASK2h)>>BN_BITS4; + dl=(d&BN_MASK2l); + for (;;) + { + if ((h>>BN_BITS4) == dh) + q=BN_MASK2l; + else + q=h/dh; + + th=q*dh; + tl=dl*q; + for (;;) + { + t=h-th; + if ((t&BN_MASK2h) || + ((tl) <= ( + (t<<BN_BITS4)| + ((l&BN_MASK2h)>>BN_BITS4)))) + break; + q--; + th-=dh; + tl-=dl; + } + t=(tl>>BN_BITS4); + tl=(tl<<BN_BITS4)&BN_MASK2h; + th+=t; + + if (l < tl) th++; + l-=tl; + if (h < th) + { + h+=d; + q--; + } + h-=th; + + if (--count == 0) break; + + ret=q<<BN_BITS4; + h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2; + l=(l&BN_MASK2l)<<BN_BITS4; + } + ret|=q; + return(ret); + } +#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */ + +#ifdef BN_LLONG +BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) + { + BN_ULLONG ll=0; + + assert(n >= 0); + if (n <= 0) return((BN_ULONG)0); + + for (;;) + { + ll+=(BN_ULLONG)a[0]+b[0]; + r[0]=(BN_ULONG)ll&BN_MASK2; + ll>>=BN_BITS2; + if (--n <= 0) break; + + ll+=(BN_ULLONG)a[1]+b[1]; + r[1]=(BN_ULONG)ll&BN_MASK2; + ll>>=BN_BITS2; + if (--n <= 0) break; + + ll+=(BN_ULLONG)a[2]+b[2]; + r[2]=(BN_ULONG)ll&BN_MASK2; + ll>>=BN_BITS2; + if (--n <= 0) break; + + ll+=(BN_ULLONG)a[3]+b[3]; + r[3]=(BN_ULONG)ll&BN_MASK2; + ll>>=BN_BITS2; + if (--n <= 0) break; + + a+=4; + b+=4; + r+=4; + } + return((BN_ULONG)ll); + } +#else /* !BN_LLONG */ +BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) + { + BN_ULONG c,l,t; + + assert(n >= 0); + if (n <= 0) return((BN_ULONG)0); + + c=0; + for (;;) + { + t=a[0]; + t=(t+c)&BN_MASK2; + c=(t < c); + l=(t+b[0])&BN_MASK2; + c+=(l < t); + r[0]=l; + if (--n <= 0) break; + + t=a[1]; + t=(t+c)&BN_MASK2; + c=(t < c); + l=(t+b[1])&BN_MASK2; + c+=(l < t); + r[1]=l; + if (--n <= 0) break; + + t=a[2]; + t=(t+c)&BN_MASK2; + c=(t < c); + l=(t+b[2])&BN_MASK2; + c+=(l < t); + r[2]=l; + if (--n <= 0) break; + + t=a[3]; + t=(t+c)&BN_MASK2; + c=(t < c); + l=(t+b[3])&BN_MASK2; + c+=(l < t); + r[3]=l; + if (--n <= 0) break; + + a+=4; + b+=4; + r+=4; + } + return((BN_ULONG)c); + } +#endif /* !BN_LLONG */ + +BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) + { + BN_ULONG t1,t2; + int c=0; + + assert(n >= 0); + if (n <= 0) return((BN_ULONG)0); + + for (;;) + { + t1=a[0]; t2=b[0]; + r[0]=(t1-t2-c)&BN_MASK2; + if (t1 != t2) c=(t1 < t2); + if (--n <= 0) break; + + t1=a[1]; t2=b[1]; + r[1]=(t1-t2-c)&BN_MASK2; + if (t1 != t2) c=(t1 < t2); + if (--n <= 0) break; + + t1=a[2]; t2=b[2]; + r[2]=(t1-t2-c)&BN_MASK2; + if (t1 != t2) c=(t1 < t2); + if (--n <= 0) break; + + t1=a[3]; t2=b[3]; + r[3]=(t1-t2-c)&BN_MASK2; + if (t1 != t2) c=(t1 < t2); + if (--n <= 0) break; + + a+=4; + b+=4; + r+=4; + } + return(c); + } + +#ifdef BN_MUL_COMBA + +#undef bn_mul_comba8 +#undef bn_mul_comba4 +#undef bn_sqr_comba8 +#undef bn_sqr_comba4 + +/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */ +/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */ +/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */ +/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */ + +#ifdef BN_LLONG +#define mul_add_c(a,b,c0,c1,c2) \ + t=(BN_ULLONG)a*b; \ + t1=(BN_ULONG)Lw(t); \ + t2=(BN_ULONG)Hw(t); \ + c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define mul_add_c2(a,b,c0,c1,c2) \ + t=(BN_ULLONG)a*b; \ + tt=(t+t)&BN_MASK; \ + if (tt < t) c2++; \ + t1=(BN_ULONG)Lw(tt); \ + t2=(BN_ULONG)Hw(tt); \ + c0=(c0+t1)&BN_MASK2; \ + if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define sqr_add_c(a,i,c0,c1,c2) \ + t=(BN_ULLONG)a[i]*a[i]; \ + t1=(BN_ULONG)Lw(t); \ + t2=(BN_ULONG)Hw(t); \ + c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define sqr_add_c2(a,i,j,c0,c1,c2) \ + mul_add_c2((a)[i],(a)[j],c0,c1,c2) + +#elif defined(BN_UMULT_LOHI) + +#define mul_add_c(a,b,c0,c1,c2) { \ + BN_ULONG ta=(a),tb=(b); \ + BN_UMULT_LOHI(t1,t2,ta,tb); \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define mul_add_c2(a,b,c0,c1,c2) { \ + BN_ULONG ta=(a),tb=(b),t0; \ + BN_UMULT_LOHI(t0,t1,ta,tb); \ + t2 = t1+t1; c2 += (t2<t1)?1:0; \ + t1 = t0+t0; t2 += (t1<t0)?1:0; \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define sqr_add_c(a,i,c0,c1,c2) { \ + BN_ULONG ta=(a)[i]; \ + BN_UMULT_LOHI(t1,t2,ta,ta); \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define sqr_add_c2(a,i,j,c0,c1,c2) \ + mul_add_c2((a)[i],(a)[j],c0,c1,c2) + +#elif defined(BN_UMULT_HIGH) + +#define mul_add_c(a,b,c0,c1,c2) { \ + BN_ULONG ta=(a),tb=(b); \ + t1 = ta * tb; \ + t2 = BN_UMULT_HIGH(ta,tb); \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define mul_add_c2(a,b,c0,c1,c2) { \ + BN_ULONG ta=(a),tb=(b),t0; \ + t1 = BN_UMULT_HIGH(ta,tb); \ + t0 = ta * tb; \ + t2 = t1+t1; c2 += (t2<t1)?1:0; \ + t1 = t0+t0; t2 += (t1<t0)?1:0; \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define sqr_add_c(a,i,c0,c1,c2) { \ + BN_ULONG ta=(a)[i]; \ + t1 = ta * ta; \ + t2 = BN_UMULT_HIGH(ta,ta); \ + c0 += t1; t2 += (c0<t1)?1:0; \ + c1 += t2; c2 += (c1<t2)?1:0; \ + } + +#define sqr_add_c2(a,i,j,c0,c1,c2) \ + mul_add_c2((a)[i],(a)[j],c0,c1,c2) + +#else /* !BN_LLONG */ +#define mul_add_c(a,b,c0,c1,c2) \ + t1=LBITS(a); t2=HBITS(a); \ + bl=LBITS(b); bh=HBITS(b); \ + mul64(t1,t2,bl,bh); \ + c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define mul_add_c2(a,b,c0,c1,c2) \ + t1=LBITS(a); t2=HBITS(a); \ + bl=LBITS(b); bh=HBITS(b); \ + mul64(t1,t2,bl,bh); \ + if (t2 & BN_TBIT) c2++; \ + t2=(t2+t2)&BN_MASK2; \ + if (t1 & BN_TBIT) t2++; \ + t1=(t1+t1)&BN_MASK2; \ + c0=(c0+t1)&BN_MASK2; \ + if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define sqr_add_c(a,i,c0,c1,c2) \ + sqr64(t1,t2,(a)[i]); \ + c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ + c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; + +#define sqr_add_c2(a,i,j,c0,c1,c2) \ + mul_add_c2((a)[i],(a)[j],c0,c1,c2) +#endif /* !BN_LLONG */ + +void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) + { +#ifdef BN_LLONG + BN_ULLONG t; +#else + BN_ULONG bl,bh; +#endif + BN_ULONG t1,t2; + BN_ULONG c1,c2,c3; + + c1=0; + c2=0; + c3=0; + mul_add_c(a[0],b[0],c1,c2,c3); + r[0]=c1; + c1=0; + mul_add_c(a[0],b[1],c2,c3,c1); + mul_add_c(a[1],b[0],c2,c3,c1); + r[1]=c2; + c2=0; + mul_add_c(a[2],b[0],c3,c1,c2); + mul_add_c(a[1],b[1],c3,c1,c2); + mul_add_c(a[0],b[2],c3,c1,c2); + r[2]=c3; + c3=0; + mul_add_c(a[0],b[3],c1,c2,c3); + mul_add_c(a[1],b[2],c1,c2,c3); + mul_add_c(a[2],b[1],c1,c2,c3); + mul_add_c(a[3],b[0],c1,c2,c3); + r[3]=c1; + c1=0; + mul_add_c(a[4],b[0],c2,c3,c1); + mul_add_c(a[3],b[1],c2,c3,c1); + mul_add_c(a[2],b[2],c2,c3,c1); + mul_add_c(a[1],b[3],c2,c3,c1); + mul_add_c(a[0],b[4],c2,c3,c1); + r[4]=c2; + c2=0; + mul_add_c(a[0],b[5],c3,c1,c2); + mul_add_c(a[1],b[4],c3,c1,c2); + mul_add_c(a[2],b[3],c3,c1,c2); + mul_add_c(a[3],b[2],c3,c1,c2); + mul_add_c(a[4],b[1],c3,c1,c2); + mul_add_c(a[5],b[0],c3,c1,c2); + r[5]=c3; + c3=0; + mul_add_c(a[6],b[0],c1,c2,c3); + mul_add_c(a[5],b[1],c1,c2,c3); + mul_add_c(a[4],b[2],c1,c2,c3); + mul_add_c(a[3],b[3],c1,c2,c3); + mul_add_c(a[2],b[4],c1,c2,c3); + mul_add_c(a[1],b[5],c1,c2,c3); + mul_add_c(a[0],b[6],c1,c2,c3); + r[6]=c1; + c1=0; + mul_add_c(a[0],b[7],c2,c3,c1); + mul_add_c(a[1],b[6],c2,c3,c1); + mul_add_c(a[2],b[5],c2,c3,c1); + mul_add_c(a[3],b[4],c2,c3,c1); + mul_add_c(a[4],b[3],c2,c3,c1); + mul_add_c(a[5],b[2],c2,c3,c1); + mul_add_c(a[6],b[1],c2,c3,c1); + mul_add_c(a[7],b[0],c2,c3,c1); + r[7]=c2; + c2=0; + mul_add_c(a[7],b[1],c3,c1,c2); + mul_add_c(a[6],b[2],c3,c1,c2); + mul_add_c(a[5],b[3],c3,c1,c2); + mul_add_c(a[4],b[4],c3,c1,c2); + mul_add_c(a[3],b[5],c3,c1,c2); + mul_add_c(a[2],b[6],c3,c1,c2); + mul_add_c(a[1],b[7],c3,c1,c2); + r[8]=c3; + c3=0; + mul_add_c(a[2],b[7],c1,c2,c3); + mul_add_c(a[3],b[6],c1,c2,c3); + mul_add_c(a[4],b[5],c1,c2,c3); + mul_add_c(a[5],b[4],c1,c2,c3); + mul_add_c(a[6],b[3],c1,c2,c3); + mul_add_c(a[7],b[2],c1,c2,c3); + r[9]=c1; + c1=0; + mul_add_c(a[7],b[3],c2,c3,c1); + mul_add_c(a[6],b[4],c2,c3,c1); + mul_add_c(a[5],b[5],c2,c3,c1); + mul_add_c(a[4],b[6],c2,c3,c1); + mul_add_c(a[3],b[7],c2,c3,c1); + r[10]=c2; + c2=0; + mul_add_c(a[4],b[7],c3,c1,c2); + mul_add_c(a[5],b[6],c3,c1,c2); + mul_add_c(a[6],b[5],c3,c1,c2); + mul_add_c(a[7],b[4],c3,c1,c2); + r[11]=c3; + c3=0; + mul_add_c(a[7],b[5],c1,c2,c3); + mul_add_c(a[6],b[6],c1,c2,c3); + mul_add_c(a[5],b[7],c1,c2,c3); + r[12]=c1; + c1=0; + mul_add_c(a[6],b[7],c2,c3,c1); + mul_add_c(a[7],b[6],c2,c3,c1); + r[13]=c2; + c2=0; + mul_add_c(a[7],b[7],c3,c1,c2); + r[14]=c3; + r[15]=c1; + } + +void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) + { +#ifdef BN_LLONG + BN_ULLONG t; +#else + BN_ULONG bl,bh; +#endif + BN_ULONG t1,t2; + BN_ULONG c1,c2,c3; + + c1=0; + c2=0; + c3=0; + mul_add_c(a[0],b[0],c1,c2,c3); + r[0]=c1; + c1=0; + mul_add_c(a[0],b[1],c2,c3,c1); + mul_add_c(a[1],b[0],c2,c3,c1); + r[1]=c2; + c2=0; + mul_add_c(a[2],b[0],c3,c1,c2); + mul_add_c(a[1],b[1],c3,c1,c2); + mul_add_c(a[0],b[2],c3,c1,c2); + r[2]=c3; + c3=0; + mul_add_c(a[0],b[3],c1,c2,c3); + mul_add_c(a[1],b[2],c1,c2,c3); + mul_add_c(a[2],b[1],c1,c2,c3); + mul_add_c(a[3],b[0],c1,c2,c3); + r[3]=c1; + c1=0; + mul_add_c(a[3],b[1],c2,c3,c1); + mul_add_c(a[2],b[2],c2,c3,c1); + mul_add_c(a[1],b[3],c2,c3,c1); + r[4]=c2; + c2=0; + mul_add_c(a[2],b[3],c3,c1,c2); + mul_add_c(a[3],b[2],c3,c1,c2); + r[5]=c3; + c3=0; + mul_add_c(a[3],b[3],c1,c2,c3); + r[6]=c1; + r[7]=c2; + } + +void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a) + { +#ifdef BN_LLONG + BN_ULLONG t,tt; +#else + BN_ULONG bl,bh; +#endif + BN_ULONG t1,t2; + BN_ULONG c1,c2,c3; + + c1=0; + c2=0; + c3=0; + sqr_add_c(a,0,c1,c2,c3); + r[0]=c1; + c1=0; + sqr_add_c2(a,1,0,c2,c3,c1); + r[1]=c2; + c2=0; + sqr_add_c(a,1,c3,c1,c2); + sqr_add_c2(a,2,0,c3,c1,c2); + r[2]=c3; + c3=0; + sqr_add_c2(a,3,0,c1,c2,c3); + sqr_add_c2(a,2,1,c1,c2,c3); + r[3]=c1; + c1=0; + sqr_add_c(a,2,c2,c3,c1); + sqr_add_c2(a,3,1,c2,c3,c1); + sqr_add_c2(a,4,0,c2,c3,c1); + r[4]=c2; + c2=0; + sqr_add_c2(a,5,0,c3,c1,c2); + sqr_add_c2(a,4,1,c3,c1,c2); + sqr_add_c2(a,3,2,c3,c1,c2); + r[5]=c3; + c3=0; + sqr_add_c(a,3,c1,c2,c3); + sqr_add_c2(a,4,2,c1,c2,c3); + sqr_add_c2(a,5,1,c1,c2,c3); + sqr_add_c2(a,6,0,c1,c2,c3); + r[6]=c1; + c1=0; + sqr_add_c2(a,7,0,c2,c3,c1); + sqr_add_c2(a,6,1,c2,c3,c1); + sqr_add_c2(a,5,2,c2,c3,c1); + sqr_add_c2(a,4,3,c2,c3,c1); + r[7]=c2; + c2=0; + sqr_add_c(a,4,c3,c1,c2); + sqr_add_c2(a,5,3,c3,c1,c2); + sqr_add_c2(a,6,2,c3,c1,c2); + sqr_add_c2(a,7,1,c3,c1,c2); + r[8]=c3; + c3=0; + sqr_add_c2(a,7,2,c1,c2,c3); + sqr_add_c2(a,6,3,c1,c2,c3); + sqr_add_c2(a,5,4,c1,c2,c3); + r[9]=c1; + c1=0; + sqr_add_c(a,5,c2,c3,c1); + sqr_add_c2(a,6,4,c2,c3,c1); + sqr_add_c2(a,7,3,c2,c3,c1); + r[10]=c2; + c2=0; + sqr_add_c2(a,7,4,c3,c1,c2); + sqr_add_c2(a,6,5,c3,c1,c2); + r[11]=c3; + c3=0; + sqr_add_c(a,6,c1,c2,c3); + sqr_add_c2(a,7,5,c1,c2,c3); + r[12]=c1; + c1=0; + sqr_add_c2(a,7,6,c2,c3,c1); + r[13]=c2; + c2=0; + sqr_add_c(a,7,c3,c1,c2); + r[14]=c3; + r[15]=c1; + } + +void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a) + { +#ifdef BN_LLONG + BN_ULLONG t,tt; +#else + BN_ULONG bl,bh; +#endif + BN_ULONG t1,t2; + BN_ULONG c1,c2,c3; + + c1=0; + c2=0; + c3=0; + sqr_add_c(a,0,c1,c2,c3); + r[0]=c1; + c1=0; + sqr_add_c2(a,1,0,c2,c3,c1); + r[1]=c2; + c2=0; + sqr_add_c(a,1,c3,c1,c2); + sqr_add_c2(a,2,0,c3,c1,c2); + r[2]=c3; + c3=0; + sqr_add_c2(a,3,0,c1,c2,c3); + sqr_add_c2(a,2,1,c1,c2,c3); + r[3]=c1; + c1=0; + sqr_add_c(a,2,c2,c3,c1); + sqr_add_c2(a,3,1,c2,c3,c1); + r[4]=c2; + c2=0; + sqr_add_c2(a,3,2,c3,c1,c2); + r[5]=c3; + c3=0; + sqr_add_c(a,3,c1,c2,c3); + r[6]=c1; + r[7]=c2; + } +#else /* !BN_MUL_COMBA */ + +/* hmm... is it faster just to do a multiply? */ +#undef bn_sqr_comba4 +void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a) + { + BN_ULONG t[8]; + bn_sqr_normal(r,a,4,t); + } + +#undef bn_sqr_comba8 +void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a) + { + BN_ULONG t[16]; + bn_sqr_normal(r,a,8,t); + } + +void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) + { + r[4]=bn_mul_words( &(r[0]),a,4,b[0]); + r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]); + r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]); + r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]); + } + +void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b) + { + r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]); + r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]); + r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]); + r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]); + r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]); + r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]); + r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]); + r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]); + } + +#endif /* !BN_MUL_COMBA */ diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_blind.c b/Cryptlib/OpenSSL/crypto/bn/bn_blind.c new file mode 100755 index 00000000..ca7f996b --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_blind.c @@ -0,0 +1,374 @@ +/* crypto/bn/bn_blind.c */ +/* ==================================================================== + * Copyright (c) 1998-2005 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 (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +#define BN_BLINDING_COUNTER 32 + +struct bn_blinding_st + { + BIGNUM *A; + BIGNUM *Ai; + BIGNUM *e; + BIGNUM *mod; /* just a reference */ + unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b; + * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */ + int counter; + unsigned long flags; + BN_MONT_CTX *m_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_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, /* const */ BIGNUM *mod) + { + BN_BLINDING *ret=NULL; + + bn_check_top(mod); + + if ((ret=(BN_BLINDING *)OPENSSL_malloc(sizeof(BN_BLINDING))) == NULL) + { + BNerr(BN_F_BN_BLINDING_NEW,ERR_R_MALLOC_FAILURE); + return(NULL); + } + memset(ret,0,sizeof(BN_BLINDING)); + if (A != NULL) + { + if ((ret->A = BN_dup(A)) == NULL) goto err; + } + if (Ai != NULL) + { + if ((ret->Ai = BN_dup(Ai)) == NULL) goto err; + } + + /* save a copy of mod in the BN_BLINDING structure */ + if ((ret->mod = BN_dup(mod)) == NULL) goto err; + if (BN_get_flags(mod, BN_FLG_CONSTTIME) != 0) + BN_set_flags(ret->mod, BN_FLG_CONSTTIME); + + /* Set the counter to the special value -1 + * to indicate that this is never-used fresh blinding + * that does not need updating before first use. */ + ret->counter = -1; + return(ret); +err: + if (ret != NULL) BN_BLINDING_free(ret); + return(NULL); + } + +void BN_BLINDING_free(BN_BLINDING *r) + { + if(r == NULL) + return; + + if (r->A != NULL) BN_free(r->A ); + if (r->Ai != NULL) BN_free(r->Ai); + if (r->e != NULL) BN_free(r->e ); + if (r->mod != NULL) BN_free(r->mod); + OPENSSL_free(r); + } + +int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx) + { + int ret=0; + + if ((b->A == NULL) || (b->Ai == NULL)) + { + BNerr(BN_F_BN_BLINDING_UPDATE,BN_R_NOT_INITIALIZED); + goto err; + } + + if (b->counter == -1) + b->counter = 0; + + if (++b->counter == BN_BLINDING_COUNTER && b->e != NULL && + !(b->flags & BN_BLINDING_NO_RECREATE)) + { + /* re-create blinding parameters */ + if (!BN_BLINDING_create_param(b, NULL, NULL, ctx, NULL, NULL)) + goto err; + } + else if (!(b->flags & BN_BLINDING_NO_UPDATE)) + { + if (!BN_mod_mul(b->A,b->A,b->A,b->mod,ctx)) goto err; + if (!BN_mod_mul(b->Ai,b->Ai,b->Ai,b->mod,ctx)) goto err; + } + + ret=1; +err: + if (b->counter == BN_BLINDING_COUNTER) + b->counter = 0; + return(ret); + } + +int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx) + { + return BN_BLINDING_convert_ex(n, NULL, b, ctx); + } + +int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx) + { + int ret = 1; + + bn_check_top(n); + + if ((b->A == NULL) || (b->Ai == NULL)) + { + BNerr(BN_F_BN_BLINDING_CONVERT_EX,BN_R_NOT_INITIALIZED); + return(0); + } + + if (b->counter == -1) + /* Fresh blinding, doesn't need updating. */ + b->counter = 0; + else if (!BN_BLINDING_update(b,ctx)) + return(0); + + if (r != NULL) + { + if (!BN_copy(r, b->Ai)) ret=0; + } + + if (!BN_mod_mul(n,n,b->A,b->mod,ctx)) ret=0; + + return ret; + } + +int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx) + { + return BN_BLINDING_invert_ex(n, NULL, b, ctx); + } + +int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx) + { + int ret; + + bn_check_top(n); + + if (r != NULL) + ret = BN_mod_mul(n, n, r, b->mod, ctx); + else + { + if (b->Ai == NULL) + { + BNerr(BN_F_BN_BLINDING_INVERT_EX,BN_R_NOT_INITIALIZED); + return(0); + } + ret = BN_mod_mul(n, n, b->Ai, b->mod, ctx); + } + + bn_check_top(n); + return(ret); + } + +unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *b) + { + return b->thread_id; + } + +void BN_BLINDING_set_thread_id(BN_BLINDING *b, unsigned long n) + { + b->thread_id = n; + } + +unsigned long BN_BLINDING_get_flags(const BN_BLINDING *b) + { + return b->flags; + } + +void BN_BLINDING_set_flags(BN_BLINDING *b, unsigned long flags) + { + b->flags = flags; + } + +BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, + const BIGNUM *e, /* const */ 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) +{ + int retry_counter = 32; + BN_BLINDING *ret = NULL; + + if (b == NULL) + ret = BN_BLINDING_new(NULL, NULL, m); + else + ret = b; + + if (ret == NULL) + goto err; + + if (ret->A == NULL && (ret->A = BN_new()) == NULL) + goto err; + if (ret->Ai == NULL && (ret->Ai = BN_new()) == NULL) + goto err; + + if (e != NULL) + { + if (ret->e != NULL) + BN_free(ret->e); + ret->e = BN_dup(e); + } + if (ret->e == NULL) + goto err; + + if (bn_mod_exp != NULL) + ret->bn_mod_exp = bn_mod_exp; + if (m_ctx != NULL) + ret->m_ctx = m_ctx; + + do { + if (!BN_rand_range(ret->A, ret->mod)) goto err; + if (BN_mod_inverse(ret->Ai, ret->A, ret->mod, ctx) == NULL) + { + /* this should almost never happen for good RSA keys */ + unsigned long error = ERR_peek_last_error(); + if (ERR_GET_REASON(error) == BN_R_NO_INVERSE) + { + if (retry_counter-- == 0) + { + BNerr(BN_F_BN_BLINDING_CREATE_PARAM, + BN_R_TOO_MANY_ITERATIONS); + goto err; + } + ERR_clear_error(); + } + else + goto err; + } + else + break; + } while (1); + + if (ret->bn_mod_exp != NULL && ret->m_ctx != NULL) + { + if (!ret->bn_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx, ret->m_ctx)) + goto err; + } + else + { + if (!BN_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx)) + goto err; + } + + return ret; +err: + if (b == NULL && ret != NULL) + { + BN_BLINDING_free(ret); + ret = NULL; + } + + return ret; +} diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_const.c b/Cryptlib/OpenSSL/crypto/bn/bn_const.c new file mode 100755 index 00000000..eb60a25b --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_const.c @@ -0,0 +1,402 @@ +/* crypto/bn/knownprimes.c */ +/* Insert boilerplate */ + +#include "bn.h" + +/* "First Oakley Default Group" from RFC2409, section 6.1. + * + * The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 } + * + * RFC2409 specifies a generator of 2. + * RFC2412 specifies a generator of of 22. + */ + +BIGNUM *get_rfc2409_prime_768(BIGNUM *bn) + { + static const unsigned char RFC2409_PRIME_768[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x3A,0x36,0x20,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC2409_PRIME_768,sizeof(RFC2409_PRIME_768),bn); + } + +/* "Second Oakley Default Group" from RFC2409, section 6.2. + * + * The prime is: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }. + * + * RFC2409 specifies a generator of 2. + * RFC2412 specifies a generator of 22. + */ + +BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn) + { + static const unsigned char RFC2409_PRIME_1024[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE6,0x53,0x81, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC2409_PRIME_1024,sizeof(RFC2409_PRIME_1024),bn); + } + +/* "1536-bit MODP Group" from RFC3526, Section 2. + * + * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } + * + * RFC3526 specifies a generator of 2. + * RFC2312 specifies a generator of 22. + */ + +BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_1536[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x23,0x73,0x27,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_1536,sizeof(RFC3526_PRIME_1536),bn); + } + +/* "2048-bit MODP Group" from RFC3526, Section 3. + * + * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } + * + * RFC3526 specifies a generator of 2. + */ + +BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_2048[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B, + 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2, + 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9, + 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C, + 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10, + 0x15,0x72,0x8E,0x5A,0x8A,0xAC,0xAA,0x68,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_2048,sizeof(RFC3526_PRIME_2048),bn); + } + +/* "3072-bit MODP Group" from RFC3526, Section 4. + * + * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } + * + * RFC3526 specifies a generator of 2. + */ + +BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_3072[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B, + 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2, + 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9, + 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C, + 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10, + 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D, + 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64, + 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57, + 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7, + 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0, + 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B, + 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73, + 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C, + 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0, + 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31, + 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20, + 0xA9,0x3A,0xD2,0xCA,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_3072,sizeof(RFC3526_PRIME_3072),bn); + } + +/* "4096-bit MODP Group" from RFC3526, Section 5. + * + * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } + * + * RFC3526 specifies a generator of 2. + */ + +BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_4096[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B, + 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2, + 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9, + 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C, + 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10, + 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D, + 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64, + 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57, + 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7, + 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0, + 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B, + 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73, + 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C, + 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0, + 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31, + 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20, + 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7, + 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18, + 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA, + 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB, + 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6, + 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F, + 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED, + 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76, + 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9, + 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC, + 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x06,0x31,0x99, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_4096,sizeof(RFC3526_PRIME_4096),bn); + } + +/* "6144-bit MODP Group" from RFC3526, Section 6. + * + * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } + * + * RFC3526 specifies a generator of 2. + */ + +BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_6144[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B, + 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2, + 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9, + 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C, + 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10, + 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D, + 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64, + 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57, + 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7, + 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0, + 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B, + 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73, + 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C, + 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0, + 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31, + 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20, + 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7, + 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18, + 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA, + 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB, + 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6, + 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F, + 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED, + 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76, + 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9, + 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC, + 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92, + 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2, + 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD, + 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F, + 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31, + 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB, + 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B, + 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51, + 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF, + 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15, + 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6, + 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31, + 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3, + 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7, + 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA, + 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2, + 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28, + 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D, + 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C, + 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7, + 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE, + 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E, + 0x6D,0xCC,0x40,0x24,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_6144,sizeof(RFC3526_PRIME_6144),bn); + } + +/* "8192-bit MODP Group" from RFC3526, Section 7. + * + * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } + * + * RFC3526 specifies a generator of 2. + */ + +BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn) + { + static const unsigned char RFC3526_PRIME_8192[]={ + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2, + 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1, + 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6, + 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD, + 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D, + 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45, + 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9, + 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED, + 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11, + 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D, + 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36, + 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F, + 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56, + 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D, + 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08, + 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B, + 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2, + 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9, + 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C, + 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10, + 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D, + 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64, + 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57, + 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7, + 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0, + 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B, + 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73, + 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C, + 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0, + 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31, + 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20, + 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7, + 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18, + 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA, + 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB, + 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6, + 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F, + 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED, + 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76, + 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9, + 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC, + 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92, + 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2, + 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD, + 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F, + 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31, + 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB, + 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B, + 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51, + 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF, + 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15, + 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6, + 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31, + 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3, + 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7, + 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA, + 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2, + 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28, + 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D, + 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C, + 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7, + 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE, + 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E, + 0x6D,0xBE,0x11,0x59,0x74,0xA3,0x92,0x6F,0x12,0xFE,0xE5,0xE4, + 0x38,0x77,0x7C,0xB6,0xA9,0x32,0xDF,0x8C,0xD8,0xBE,0xC4,0xD0, + 0x73,0xB9,0x31,0xBA,0x3B,0xC8,0x32,0xB6,0x8D,0x9D,0xD3,0x00, + 0x74,0x1F,0xA7,0xBF,0x8A,0xFC,0x47,0xED,0x25,0x76,0xF6,0x93, + 0x6B,0xA4,0x24,0x66,0x3A,0xAB,0x63,0x9C,0x5A,0xE4,0xF5,0x68, + 0x34,0x23,0xB4,0x74,0x2B,0xF1,0xC9,0x78,0x23,0x8F,0x16,0xCB, + 0xE3,0x9D,0x65,0x2D,0xE3,0xFD,0xB8,0xBE,0xFC,0x84,0x8A,0xD9, + 0x22,0x22,0x2E,0x04,0xA4,0x03,0x7C,0x07,0x13,0xEB,0x57,0xA8, + 0x1A,0x23,0xF0,0xC7,0x34,0x73,0xFC,0x64,0x6C,0xEA,0x30,0x6B, + 0x4B,0xCB,0xC8,0x86,0x2F,0x83,0x85,0xDD,0xFA,0x9D,0x4B,0x7F, + 0xA2,0xC0,0x87,0xE8,0x79,0x68,0x33,0x03,0xED,0x5B,0xDD,0x3A, + 0x06,0x2B,0x3C,0xF5,0xB3,0xA2,0x78,0xA6,0x6D,0x2A,0x13,0xF8, + 0x3F,0x44,0xF8,0x2D,0xDF,0x31,0x0E,0xE0,0x74,0xAB,0x6A,0x36, + 0x45,0x97,0xE8,0x99,0xA0,0x25,0x5D,0xC1,0x64,0xF3,0x1C,0xC5, + 0x08,0x46,0x85,0x1D,0xF9,0xAB,0x48,0x19,0x5D,0xED,0x7E,0xA1, + 0xB1,0xD5,0x10,0xBD,0x7E,0xE7,0x4D,0x73,0xFA,0xF3,0x6B,0xC3, + 0x1E,0xCF,0xA2,0x68,0x35,0x90,0x46,0xF4,0xEB,0x87,0x9F,0x92, + 0x40,0x09,0x43,0x8B,0x48,0x1C,0x6C,0xD7,0x88,0x9A,0x00,0x2E, + 0xD5,0xEE,0x38,0x2B,0xC9,0x19,0x0D,0xA6,0xFC,0x02,0x6E,0x47, + 0x95,0x58,0xE4,0x47,0x56,0x77,0xE9,0xAA,0x9E,0x30,0x50,0xE2, + 0x76,0x56,0x94,0xDF,0xC8,0x1F,0x56,0xE8,0x80,0xB9,0x6E,0x71, + 0x60,0xC9,0x80,0xDD,0x98,0xED,0xD3,0xDF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF, + }; + return BN_bin2bn(RFC3526_PRIME_8192,sizeof(RFC3526_PRIME_8192),bn); + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c b/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c new file mode 100755 index 00000000..b3452f1a --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_ctx.c @@ -0,0 +1,454 @@ +/* crypto/bn/bn_ctx.c */ +/* Written by Ulf Moeller for the OpenSSL project. */ +/* ==================================================================== + * Copyright (c) 1998-2004 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). + * + */ + +#if !defined(BN_CTX_DEBUG) && !defined(BN_DEBUG) +#ifndef NDEBUG +#define NDEBUG +#endif +#endif + +#include <stdio.h> +#include <assert.h> + +#include "cryptlib.h" +#include "bn_lcl.h" + +/* TODO list + * + * 1. Check a bunch of "(words+1)" type hacks in various bignum functions and + * check they can be safely removed. + * - Check +1 and other ugliness in BN_from_montgomery() + * + * 2. Consider allowing a BN_new_ex() that, at least, lets you specify an + * appropriate 'block' size that will be honoured by bn_expand_internal() to + * prevent piddly little reallocations. OTOH, profiling bignum expansions in + * BN_CTX doesn't show this to be a big issue. + */ + +/* How many bignums are in each "pool item"; */ +#define BN_CTX_POOL_SIZE 16 +/* The stack frame info is resizing, set a first-time expansion size; */ +#define BN_CTX_START_FRAMES 32 + +/***********/ +/* BN_POOL */ +/***********/ + +/* A bundle of bignums that can be linked with other bundles */ +typedef struct bignum_pool_item + { + /* The bignum values */ + BIGNUM vals[BN_CTX_POOL_SIZE]; + /* Linked-list admin */ + struct bignum_pool_item *prev, *next; + } BN_POOL_ITEM; +/* A linked-list of bignums grouped in bundles */ +typedef struct bignum_pool + { + /* Linked-list admin */ + BN_POOL_ITEM *head, *current, *tail; + /* Stack depth and allocation size */ + unsigned used, size; + } BN_POOL; +static void BN_POOL_init(BN_POOL *); +static void BN_POOL_finish(BN_POOL *); +#ifndef OPENSSL_NO_DEPRECATED +static void BN_POOL_reset(BN_POOL *); +#endif +static BIGNUM * BN_POOL_get(BN_POOL *); +static void BN_POOL_release(BN_POOL *, unsigned int); + +/************/ +/* BN_STACK */ +/************/ + +/* A wrapper to manage the "stack frames" */ +typedef struct bignum_ctx_stack + { + /* Array of indexes into the bignum stack */ + unsigned int *indexes; + /* Number of stack frames, and the size of the allocated array */ + unsigned int depth, size; + } BN_STACK; +static void BN_STACK_init(BN_STACK *); +static void BN_STACK_finish(BN_STACK *); +#ifndef OPENSSL_NO_DEPRECATED +static void BN_STACK_reset(BN_STACK *); +#endif +static int BN_STACK_push(BN_STACK *, unsigned int); +static unsigned int BN_STACK_pop(BN_STACK *); + +/**********/ +/* BN_CTX */ +/**********/ + +/* The opaque BN_CTX type */ +struct bignum_ctx + { + /* The bignum bundles */ + BN_POOL pool; + /* The "stack frames", if you will */ + BN_STACK stack; + /* The number of bignums currently assigned */ + unsigned int used; + /* Depth of stack overflow */ + int err_stack; + /* Block "gets" until an "end" (compatibility behaviour) */ + int too_many; + }; + +/* Enable this to find BN_CTX bugs */ +#ifdef BN_CTX_DEBUG +static const char *ctxdbg_cur = NULL; +static void ctxdbg(BN_CTX *ctx) + { + unsigned int bnidx = 0, fpidx = 0; + BN_POOL_ITEM *item = ctx->pool.head; + BN_STACK *stack = &ctx->stack; + fprintf(stderr,"(%08x): ", (unsigned int)ctx); + while(bnidx < ctx->used) + { + fprintf(stderr,"%02x ", item->vals[bnidx++ % BN_CTX_POOL_SIZE].dmax); + if(!(bnidx % BN_CTX_POOL_SIZE)) + item = item->next; + } + fprintf(stderr,"\n"); + bnidx = 0; + fprintf(stderr," : "); + while(fpidx < stack->depth) + { + while(bnidx++ < stack->indexes[fpidx]) + fprintf(stderr," "); + fprintf(stderr,"^^ "); + bnidx++; + fpidx++; + } + fprintf(stderr,"\n"); + } +#define CTXDBG_ENTRY(str, ctx) do { \ + ctxdbg_cur = (str); \ + fprintf(stderr,"Starting %s\n", ctxdbg_cur); \ + ctxdbg(ctx); \ + } while(0) +#define CTXDBG_EXIT(ctx) do { \ + fprintf(stderr,"Ending %s\n", ctxdbg_cur); \ + ctxdbg(ctx); \ + } while(0) +#define CTXDBG_RET(ctx,ret) +#else +#define CTXDBG_ENTRY(str, ctx) +#define CTXDBG_EXIT(ctx) +#define CTXDBG_RET(ctx,ret) +#endif + +/* This function is an evil legacy and should not be used. This implementation + * is WYSIWYG, though I've done my best. */ +#ifndef OPENSSL_NO_DEPRECATED +void BN_CTX_init(BN_CTX *ctx) + { + /* Assume the caller obtained the context via BN_CTX_new() and so is + * trying to reset it for use. Nothing else makes sense, least of all + * binary compatibility from a time when they could declare a static + * variable. */ + BN_POOL_reset(&ctx->pool); + BN_STACK_reset(&ctx->stack); + ctx->used = 0; + ctx->err_stack = 0; + ctx->too_many = 0; + } +#endif + +BN_CTX *BN_CTX_new(void) + { + BN_CTX *ret = OPENSSL_malloc(sizeof(BN_CTX)); + if(!ret) + { + BNerr(BN_F_BN_CTX_NEW,ERR_R_MALLOC_FAILURE); + return NULL; + } + /* Initialise the structure */ + BN_POOL_init(&ret->pool); + BN_STACK_init(&ret->stack); + ret->used = 0; + ret->err_stack = 0; + ret->too_many = 0; + return ret; + } + +void BN_CTX_free(BN_CTX *ctx) + { + if (ctx == NULL) + return; +#ifdef BN_CTX_DEBUG + { + BN_POOL_ITEM *pool = ctx->pool.head; + fprintf(stderr,"BN_CTX_free, stack-size=%d, pool-bignums=%d\n", + ctx->stack.size, ctx->pool.size); + fprintf(stderr,"dmaxs: "); + while(pool) { + unsigned loop = 0; + while(loop < BN_CTX_POOL_SIZE) + fprintf(stderr,"%02x ", pool->vals[loop++].dmax); + pool = pool->next; + } + fprintf(stderr,"\n"); + } +#endif + BN_STACK_finish(&ctx->stack); + BN_POOL_finish(&ctx->pool); + OPENSSL_free(ctx); + } + +void BN_CTX_start(BN_CTX *ctx) + { + CTXDBG_ENTRY("BN_CTX_start", ctx); + /* If we're already overflowing ... */ + if(ctx->err_stack || ctx->too_many) + ctx->err_stack++; + /* (Try to) get a new frame pointer */ + else if(!BN_STACK_push(&ctx->stack, ctx->used)) + { + BNerr(BN_F_BN_CTX_START,BN_R_TOO_MANY_TEMPORARY_VARIABLES); + ctx->err_stack++; + } + CTXDBG_EXIT(ctx); + } + +void BN_CTX_end(BN_CTX *ctx) + { + CTXDBG_ENTRY("BN_CTX_end", ctx); + if(ctx->err_stack) + ctx->err_stack--; + else + { + unsigned int fp = BN_STACK_pop(&ctx->stack); + /* Does this stack frame have anything to release? */ + if(fp < ctx->used) + BN_POOL_release(&ctx->pool, ctx->used - fp); + ctx->used = fp; + /* Unjam "too_many" in case "get" had failed */ + ctx->too_many = 0; + } + CTXDBG_EXIT(ctx); + } + +BIGNUM *BN_CTX_get(BN_CTX *ctx) + { + BIGNUM *ret; + CTXDBG_ENTRY("BN_CTX_get", ctx); + if(ctx->err_stack || ctx->too_many) return NULL; + if((ret = BN_POOL_get(&ctx->pool)) == NULL) + { + /* Setting too_many prevents repeated "get" attempts from + * cluttering the error stack. */ + ctx->too_many = 1; + BNerr(BN_F_BN_CTX_GET,BN_R_TOO_MANY_TEMPORARY_VARIABLES); + return NULL; + } + /* OK, make sure the returned bignum is "zero" */ + BN_zero(ret); + ctx->used++; + CTXDBG_RET(ctx, ret); + return ret; + } + +/************/ +/* BN_STACK */ +/************/ + +static void BN_STACK_init(BN_STACK *st) + { + st->indexes = NULL; + st->depth = st->size = 0; + } + +static void BN_STACK_finish(BN_STACK *st) + { + if(st->size) OPENSSL_free(st->indexes); + } + +#ifndef OPENSSL_NO_DEPRECATED +static void BN_STACK_reset(BN_STACK *st) + { + st->depth = 0; + } +#endif + +static int BN_STACK_push(BN_STACK *st, unsigned int idx) + { + if(st->depth == st->size) + /* Need to expand */ + { + unsigned int newsize = (st->size ? + (st->size * 3 / 2) : BN_CTX_START_FRAMES); + unsigned int *newitems = OPENSSL_malloc(newsize * + sizeof(unsigned int)); + if(!newitems) return 0; + if(st->depth) + memcpy(newitems, st->indexes, st->depth * + sizeof(unsigned int)); + if(st->size) OPENSSL_free(st->indexes); + st->indexes = newitems; + st->size = newsize; + } + st->indexes[(st->depth)++] = idx; + return 1; + } + +static unsigned int BN_STACK_pop(BN_STACK *st) + { + return st->indexes[--(st->depth)]; + } + +/***********/ +/* BN_POOL */ +/***********/ + +static void BN_POOL_init(BN_POOL *p) + { + p->head = p->current = p->tail = NULL; + p->used = p->size = 0; + } + +static void BN_POOL_finish(BN_POOL *p) + { + while(p->head) + { + unsigned int loop = 0; + BIGNUM *bn = p->head->vals; + while(loop++ < BN_CTX_POOL_SIZE) + { + if(bn->d) BN_clear_free(bn); + bn++; + } + p->current = p->head->next; + OPENSSL_free(p->head); + p->head = p->current; + } + } + +#ifndef OPENSSL_NO_DEPRECATED +static void BN_POOL_reset(BN_POOL *p) + { + BN_POOL_ITEM *item = p->head; + while(item) + { + unsigned int loop = 0; + BIGNUM *bn = item->vals; + while(loop++ < BN_CTX_POOL_SIZE) + { + if(bn->d) BN_clear(bn); + bn++; + } + item = item->next; + } + p->current = p->head; + p->used = 0; + } +#endif + +static BIGNUM *BN_POOL_get(BN_POOL *p) + { + if(p->used == p->size) + { + BIGNUM *bn; + unsigned int loop = 0; + BN_POOL_ITEM *item = OPENSSL_malloc(sizeof(BN_POOL_ITEM)); + if(!item) return NULL; + /* Initialise the structure */ + bn = item->vals; + while(loop++ < BN_CTX_POOL_SIZE) + BN_init(bn++); + item->prev = p->tail; + item->next = NULL; + /* Link it in */ + if(!p->head) + p->head = p->current = p->tail = item; + else + { + p->tail->next = item; + p->tail = item; + p->current = item; + } + p->size += BN_CTX_POOL_SIZE; + p->used++; + /* Return the first bignum from the new pool */ + return item->vals; + } + if(!p->used) + p->current = p->head; + else if((p->used % BN_CTX_POOL_SIZE) == 0) + p->current = p->current->next; + return p->current->vals + ((p->used++) % BN_CTX_POOL_SIZE); + } + +static void BN_POOL_release(BN_POOL *p, unsigned int num) + { + unsigned int offset = (p->used - 1) % BN_CTX_POOL_SIZE; + p->used -= num; + while(num--) + { + bn_check_top(p->current->vals + offset); + if(!offset) + { + offset = BN_CTX_POOL_SIZE - 1; + p->current = p->current->prev; + } + else + offset--; + } + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_depr.c b/Cryptlib/OpenSSL/crypto/bn/bn_depr.c new file mode 100755 index 00000000..27535e4f --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_depr.c @@ -0,0 +1,112 @@ +/* crypto/bn/bn_depr.c */ +/* ==================================================================== + * Copyright (c) 1998-2002 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). + * + */ + +/* Support for deprecated functions goes here - static linkage will only slurp + * this code if applications are using them directly. */ + +#include <stdio.h> +#include <time.h> +#include "cryptlib.h" +#include "bn_lcl.h" +#include <openssl/rand.h> + +static void *dummy=&dummy; + +#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) + { + BN_GENCB cb; + BIGNUM *rnd=NULL; + int found = 0; + + BN_GENCB_set_old(&cb, callback, cb_arg); + + if (ret == NULL) + { + if ((rnd=BN_new()) == NULL) goto err; + } + else + rnd=ret; + if(!BN_generate_prime_ex(rnd, bits, safe, add, rem, &cb)) + goto err; + + /* we have a prime :-) */ + found = 1; +err: + if (!found && (ret == NULL) && (rnd != NULL)) BN_free(rnd); + return(found ? rnd : NULL); + } + +int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int,int,void *), + BN_CTX *ctx_passed, void *cb_arg) + { + BN_GENCB cb; + BN_GENCB_set_old(&cb, callback, cb_arg); + return BN_is_prime_ex(a, checks, ctx_passed, &cb); + } + +int BN_is_prime_fasttest(const BIGNUM *a, int checks, + void (*callback)(int,int,void *), + BN_CTX *ctx_passed, void *cb_arg, + int do_trial_division) + { + BN_GENCB cb; + BN_GENCB_set_old(&cb, callback, cb_arg); + return BN_is_prime_fasttest_ex(a, checks, ctx_passed, + do_trial_division, &cb); + } +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_div.c b/Cryptlib/OpenSSL/crypto/bn/bn_div.c new file mode 100755 index 00000000..78c65071 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_div.c @@ -0,0 +1,650 @@ +/* crypto/bn/bn_div.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include <openssl/bn.h> +#include "cryptlib.h" +#include "bn_lcl.h" + + +/* The old slow way */ +#if 0 +int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, + BN_CTX *ctx) + { + int i,nm,nd; + int ret = 0; + BIGNUM *D; + + bn_check_top(m); + bn_check_top(d); + if (BN_is_zero(d)) + { + BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); + return(0); + } + + if (BN_ucmp(m,d) < 0) + { + if (rem != NULL) + { if (BN_copy(rem,m) == NULL) return(0); } + if (dv != NULL) BN_zero(dv); + return(1); + } + + BN_CTX_start(ctx); + D = BN_CTX_get(ctx); + if (dv == NULL) dv = BN_CTX_get(ctx); + if (rem == NULL) rem = BN_CTX_get(ctx); + if (D == NULL || dv == NULL || rem == NULL) + goto end; + + nd=BN_num_bits(d); + nm=BN_num_bits(m); + if (BN_copy(D,d) == NULL) goto end; + if (BN_copy(rem,m) == NULL) goto end; + + /* The next 2 are needed so we can do a dv->d[0]|=1 later + * since BN_lshift1 will only work once there is a value :-) */ + BN_zero(dv); + if(bn_wexpand(dv,1) == NULL) goto end; + dv->top=1; + + if (!BN_lshift(D,D,nm-nd)) goto end; + for (i=nm-nd; i>=0; i--) + { + if (!BN_lshift1(dv,dv)) goto end; + if (BN_ucmp(rem,D) >= 0) + { + dv->d[0]|=1; + if (!BN_usub(rem,rem,D)) goto end; + } +/* CAN IMPROVE (and have now :=) */ + if (!BN_rshift1(D,D)) goto end; + } + rem->neg=BN_is_zero(rem)?0:m->neg; + dv->neg=m->neg^d->neg; + ret = 1; + end: + BN_CTX_end(ctx); + return(ret); + } + +#else + +#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \ + && !defined(PEDANTIC) && !defined(BN_DIV3W) +# if defined(__GNUC__) && __GNUC__>=2 +# if defined(__i386) || defined (__i386__) + /* + * There were two reasons for implementing this template: + * - GNU C generates a call to a function (__udivdi3 to be exact) + * in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to + * understand why...); + * - divl doesn't only calculate quotient, but also leaves + * remainder in %edx which we can definitely use here:-) + * + * <appro@fy.chalmers.se> + */ +# define bn_div_words(n0,n1,d0) \ + ({ asm volatile ( \ + "divl %4" \ + : "=a"(q), "=d"(rem) \ + : "a"(n1), "d"(n0), "g"(d0) \ + : "cc"); \ + q; \ + }) +# define REMAINDER_IS_ALREADY_CALCULATED +# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG) + /* + * Same story here, but it's 128-bit by 64-bit division. Wow! + * <appro@fy.chalmers.se> + */ +# define bn_div_words(n0,n1,d0) \ + ({ asm volatile ( \ + "divq %4" \ + : "=a"(q), "=d"(rem) \ + : "a"(n1), "d"(n0), "g"(d0) \ + : "cc"); \ + q; \ + }) +# define REMAINDER_IS_ALREADY_CALCULATED +# endif /* __<cpu> */ +# endif /* __GNUC__ */ +#endif /* OPENSSL_NO_ASM */ + + +/* BN_div[_no_branch] computes dv := num / divisor, rounding towards + * zero, and sets up rm such that dv*divisor + rm = num holds. + * Thus: + * dv->neg == num->neg ^ divisor->neg (unless the result is zero) + * rm->neg == num->neg (unless the remainder is zero) + * If 'dv' or 'rm' is NULL, the respective value is not returned. + */ +static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, + const BIGNUM *divisor, BN_CTX *ctx); +int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor, + BN_CTX *ctx) + { + int norm_shift,i,loop; + BIGNUM *tmp,wnum,*snum,*sdiv,*res; + BN_ULONG *resp,*wnump; + BN_ULONG d0,d1; + int num_n,div_n; + + /* Invalid zero-padding would have particularly bad consequences + * in the case of 'num', so don't just rely on bn_check_top() for this one + * (bn_check_top() works only for BN_DEBUG builds) */ + if (num->top > 0 && num->d[num->top - 1] == 0) + { + BNerr(BN_F_BN_DIV,BN_R_NOT_INITIALIZED); + return 0; + } + + bn_check_top(num); + + if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) + { + return BN_div_no_branch(dv, rm, num, divisor, ctx); + } + + bn_check_top(dv); + bn_check_top(rm); + /* bn_check_top(num); */ /* 'num' has been checked already */ + bn_check_top(divisor); + + if (BN_is_zero(divisor)) + { + BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO); + return(0); + } + + if (BN_ucmp(num,divisor) < 0) + { + if (rm != NULL) + { if (BN_copy(rm,num) == NULL) return(0); } + if (dv != NULL) BN_zero(dv); + return(1); + } + + BN_CTX_start(ctx); + tmp=BN_CTX_get(ctx); + snum=BN_CTX_get(ctx); + sdiv=BN_CTX_get(ctx); + if (dv == NULL) + res=BN_CTX_get(ctx); + else res=dv; + if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL) + goto err; + + /* First we normalise the numbers */ + norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); + if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; + sdiv->neg=0; + norm_shift+=BN_BITS2; + if (!(BN_lshift(snum,num,norm_shift))) goto err; + snum->neg=0; + div_n=sdiv->top; + num_n=snum->top; + loop=num_n-div_n; + /* Lets setup a 'window' into snum + * This is the part that corresponds to the current + * 'area' being divided */ + wnum.neg = 0; + wnum.d = &(snum->d[loop]); + wnum.top = div_n; + /* only needed when BN_ucmp messes up the values between top and max */ + wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ + + /* Get the top 2 words of sdiv */ + /* div_n=sdiv->top; */ + d0=sdiv->d[div_n-1]; + d1=(div_n == 1)?0:sdiv->d[div_n-2]; + + /* pointer to the 'top' of snum */ + wnump= &(snum->d[num_n-1]); + + /* Setup to 'res' */ + res->neg= (num->neg^divisor->neg); + if (!bn_wexpand(res,(loop+1))) goto err; + res->top=loop; + resp= &(res->d[loop-1]); + + /* space for temp */ + if (!bn_wexpand(tmp,(div_n+1))) goto err; + + if (BN_ucmp(&wnum,sdiv) >= 0) + { + /* If BN_DEBUG_RAND is defined BN_ucmp changes (via + * bn_pollute) the const bignum arguments => + * clean the values between top and max again */ + bn_clear_top2max(&wnum); + bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n); + *resp=1; + } + else + res->top--; + /* if res->top == 0 then clear the neg value otherwise decrease + * the resp pointer */ + if (res->top == 0) + res->neg = 0; + else + resp--; + + for (i=0; i<loop-1; i++, wnump--, resp--) + { + BN_ULONG q,l0; + /* the first part of the loop uses the top two words of + * snum and sdiv to calculate a BN_ULONG q such that + * | wnum - sdiv * q | < sdiv */ +#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) + BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); + q=bn_div_3_words(wnump,d1,d0); +#else + BN_ULONG n0,n1,rem=0; + + n0=wnump[0]; + n1=wnump[-1]; + if (n0 == d0) + q=BN_MASK2; + else /* n0 < d0 */ + { +#ifdef BN_LLONG + BN_ULLONG t2; + +#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) + q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); +#else + q=bn_div_words(n0,n1,d0); +#ifdef BN_DEBUG_LEVITTE + fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ +X) -> 0x%08X\n", + n0, n1, d0, q); +#endif +#endif + +#ifndef REMAINDER_IS_ALREADY_CALCULATED + /* + * rem doesn't have to be BN_ULLONG. The least we + * know it's less that d0, isn't it? + */ + rem=(n1-q*d0)&BN_MASK2; +#endif + t2=(BN_ULLONG)d1*q; + + for (;;) + { + if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) + break; + q--; + rem += d0; + if (rem < d0) break; /* don't let rem overflow */ + t2 -= d1; + } +#else /* !BN_LLONG */ + BN_ULONG t2l,t2h; +#if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH) + BN_ULONG ql,qh; +#endif + + q=bn_div_words(n0,n1,d0); +#ifdef BN_DEBUG_LEVITTE + fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ +X) -> 0x%08X\n", + n0, n1, d0, q); +#endif +#ifndef REMAINDER_IS_ALREADY_CALCULATED + rem=(n1-q*d0)&BN_MASK2; +#endif + +#if defined(BN_UMULT_LOHI) + BN_UMULT_LOHI(t2l,t2h,d1,q); +#elif defined(BN_UMULT_HIGH) + t2l = d1 * q; + t2h = BN_UMULT_HIGH(d1,q); +#else + t2l=LBITS(d1); t2h=HBITS(d1); + ql =LBITS(q); qh =HBITS(q); + mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ +#endif + + for (;;) + { + if ((t2h < rem) || + ((t2h == rem) && (t2l <= wnump[-2]))) + break; + q--; + rem += d0; + if (rem < d0) break; /* don't let rem overflow */ + if (t2l < d1) t2h--; t2l -= d1; + } +#endif /* !BN_LLONG */ + } +#endif /* !BN_DIV3W */ + + l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); + tmp->d[div_n]=l0; + wnum.d--; + /* ingore top values of the bignums just sub the two + * BN_ULONG arrays with bn_sub_words */ + if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) + { + /* Note: As we have considered only the leading + * two BN_ULONGs in the calculation of q, sdiv * q + * might be greater than wnum (but then (q-1) * sdiv + * is less or equal than wnum) + */ + q--; + if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) + /* we can't have an overflow here (assuming + * that q != 0, but if q == 0 then tmp is + * zero anyway) */ + (*wnump)++; + } + /* store part of the result */ + *resp = q; + } + bn_correct_top(snum); + if (rm != NULL) + { + /* Keep a copy of the neg flag in num because if rm==num + * BN_rshift() will overwrite it. + */ + int neg = num->neg; + BN_rshift(rm,snum,norm_shift); + if (!BN_is_zero(rm)) + rm->neg = neg; + bn_check_top(rm); + } + BN_CTX_end(ctx); + return(1); +err: + bn_check_top(rm); + BN_CTX_end(ctx); + return(0); + } + + +/* BN_div_no_branch is a special version of BN_div. It does not contain + * branches that may leak sensitive information. + */ +static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, + const BIGNUM *divisor, BN_CTX *ctx) + { + int norm_shift,i,loop; + BIGNUM *tmp,wnum,*snum,*sdiv,*res; + BN_ULONG *resp,*wnump; + BN_ULONG d0,d1; + int num_n,div_n; + + bn_check_top(dv); + bn_check_top(rm); + /* bn_check_top(num); */ /* 'num' has been checked in BN_div() */ + bn_check_top(divisor); + + if (BN_is_zero(divisor)) + { + BNerr(BN_F_BN_DIV_NO_BRANCH,BN_R_DIV_BY_ZERO); + return(0); + } + + BN_CTX_start(ctx); + tmp=BN_CTX_get(ctx); + snum=BN_CTX_get(ctx); + sdiv=BN_CTX_get(ctx); + if (dv == NULL) + res=BN_CTX_get(ctx); + else res=dv; + if (sdiv == NULL || res == NULL) goto err; + + /* First we normalise the numbers */ + norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2); + if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err; + sdiv->neg=0; + norm_shift+=BN_BITS2; + if (!(BN_lshift(snum,num,norm_shift))) goto err; + snum->neg=0; + + /* Since we don't know whether snum is larger than sdiv, + * we pad snum with enough zeroes without changing its + * value. + */ + if (snum->top <= sdiv->top+1) + { + if (bn_wexpand(snum, sdiv->top + 2) == NULL) goto err; + for (i = snum->top; i < sdiv->top + 2; i++) snum->d[i] = 0; + snum->top = sdiv->top + 2; + } + else + { + if (bn_wexpand(snum, snum->top + 1) == NULL) goto err; + snum->d[snum->top] = 0; + snum->top ++; + } + + div_n=sdiv->top; + num_n=snum->top; + loop=num_n-div_n; + /* Lets setup a 'window' into snum + * This is the part that corresponds to the current + * 'area' being divided */ + wnum.neg = 0; + wnum.d = &(snum->d[loop]); + wnum.top = div_n; + /* only needed when BN_ucmp messes up the values between top and max */ + wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */ + + /* Get the top 2 words of sdiv */ + /* div_n=sdiv->top; */ + d0=sdiv->d[div_n-1]; + d1=(div_n == 1)?0:sdiv->d[div_n-2]; + + /* pointer to the 'top' of snum */ + wnump= &(snum->d[num_n-1]); + + /* Setup to 'res' */ + res->neg= (num->neg^divisor->neg); + if (!bn_wexpand(res,(loop+1))) goto err; + res->top=loop-1; + resp= &(res->d[loop-1]); + + /* space for temp */ + if (!bn_wexpand(tmp,(div_n+1))) goto err; + + /* if res->top == 0 then clear the neg value otherwise decrease + * the resp pointer */ + if (res->top == 0) + res->neg = 0; + else + resp--; + + for (i=0; i<loop-1; i++, wnump--, resp--) + { + BN_ULONG q,l0; + /* the first part of the loop uses the top two words of + * snum and sdiv to calculate a BN_ULONG q such that + * | wnum - sdiv * q | < sdiv */ +#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM) + BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG); + q=bn_div_3_words(wnump,d1,d0); +#else + BN_ULONG n0,n1,rem=0; + + n0=wnump[0]; + n1=wnump[-1]; + if (n0 == d0) + q=BN_MASK2; + else /* n0 < d0 */ + { +#ifdef BN_LLONG + BN_ULLONG t2; + +#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words) + q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0); +#else + q=bn_div_words(n0,n1,d0); +#ifdef BN_DEBUG_LEVITTE + fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ +X) -> 0x%08X\n", + n0, n1, d0, q); +#endif +#endif + +#ifndef REMAINDER_IS_ALREADY_CALCULATED + /* + * rem doesn't have to be BN_ULLONG. The least we + * know it's less that d0, isn't it? + */ + rem=(n1-q*d0)&BN_MASK2; +#endif + t2=(BN_ULLONG)d1*q; + + for (;;) + { + if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2])) + break; + q--; + rem += d0; + if (rem < d0) break; /* don't let rem overflow */ + t2 -= d1; + } +#else /* !BN_LLONG */ + BN_ULONG t2l,t2h; +#if !defined(BN_UMULT_LOHI) && !defined(BN_UMULT_HIGH) + BN_ULONG ql,qh; +#endif + + q=bn_div_words(n0,n1,d0); +#ifdef BN_DEBUG_LEVITTE + fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\ +X) -> 0x%08X\n", + n0, n1, d0, q); +#endif +#ifndef REMAINDER_IS_ALREADY_CALCULATED + rem=(n1-q*d0)&BN_MASK2; +#endif + +#if defined(BN_UMULT_LOHI) + BN_UMULT_LOHI(t2l,t2h,d1,q); +#elif defined(BN_UMULT_HIGH) + t2l = d1 * q; + t2h = BN_UMULT_HIGH(d1,q); +#else + t2l=LBITS(d1); t2h=HBITS(d1); + ql =LBITS(q); qh =HBITS(q); + mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */ +#endif + + for (;;) + { + if ((t2h < rem) || + ((t2h == rem) && (t2l <= wnump[-2]))) + break; + q--; + rem += d0; + if (rem < d0) break; /* don't let rem overflow */ + if (t2l < d1) t2h--; t2l -= d1; + } +#endif /* !BN_LLONG */ + } +#endif /* !BN_DIV3W */ + + l0=bn_mul_words(tmp->d,sdiv->d,div_n,q); + tmp->d[div_n]=l0; + wnum.d--; + /* ingore top values of the bignums just sub the two + * BN_ULONG arrays with bn_sub_words */ + if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1)) + { + /* Note: As we have considered only the leading + * two BN_ULONGs in the calculation of q, sdiv * q + * might be greater than wnum (but then (q-1) * sdiv + * is less or equal than wnum) + */ + q--; + if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n)) + /* we can't have an overflow here (assuming + * that q != 0, but if q == 0 then tmp is + * zero anyway) */ + (*wnump)++; + } + /* store part of the result */ + *resp = q; + } + bn_correct_top(snum); + if (rm != NULL) + { + /* Keep a copy of the neg flag in num because if rm==num + * BN_rshift() will overwrite it. + */ + int neg = num->neg; + BN_rshift(rm,snum,norm_shift); + if (!BN_is_zero(rm)) + rm->neg = neg; + bn_check_top(rm); + } + bn_correct_top(res); + BN_CTX_end(ctx); + return(1); +err: + bn_check_top(rm); + BN_CTX_end(ctx); + return(0); + } + +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_err.c b/Cryptlib/OpenSSL/crypto/bn/bn_err.c new file mode 100755 index 00000000..cfe2eb94 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_err.c @@ -0,0 +1,150 @@ +/* crypto/bn/bn_err.c */ +/* ==================================================================== + * Copyright (c) 1999-2007 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). + * + */ + +/* NOTE: this file was auto generated by the mkerr.pl script: any changes + * made to it will be overwritten when the script next updates this file, + * only reason strings will be preserved. + */ + +#include <stdio.h> +#include <openssl/err.h> +#include <openssl/bn.h> + +/* BEGIN ERROR CODES */ +#ifndef OPENSSL_NO_ERR + +#define ERR_FUNC(func) ERR_PACK(ERR_LIB_BN,func,0) +#define ERR_REASON(reason) ERR_PACK(ERR_LIB_BN,0,reason) + +static ERR_STRING_DATA BN_str_functs[]= + { +{ERR_FUNC(BN_F_BNRAND), "BNRAND"}, +{ERR_FUNC(BN_F_BN_BLINDING_CONVERT_EX), "BN_BLINDING_convert_ex"}, +{ERR_FUNC(BN_F_BN_BLINDING_CREATE_PARAM), "BN_BLINDING_create_param"}, +{ERR_FUNC(BN_F_BN_BLINDING_INVERT_EX), "BN_BLINDING_invert_ex"}, +{ERR_FUNC(BN_F_BN_BLINDING_NEW), "BN_BLINDING_new"}, +{ERR_FUNC(BN_F_BN_BLINDING_UPDATE), "BN_BLINDING_update"}, +{ERR_FUNC(BN_F_BN_BN2DEC), "BN_bn2dec"}, +{ERR_FUNC(BN_F_BN_BN2HEX), "BN_bn2hex"}, +{ERR_FUNC(BN_F_BN_CTX_GET), "BN_CTX_get"}, +{ERR_FUNC(BN_F_BN_CTX_NEW), "BN_CTX_new"}, +{ERR_FUNC(BN_F_BN_CTX_START), "BN_CTX_start"}, +{ERR_FUNC(BN_F_BN_DIV), "BN_div"}, +{ERR_FUNC(BN_F_BN_DIV_NO_BRANCH), "BN_div_no_branch"}, +{ERR_FUNC(BN_F_BN_DIV_RECP), "BN_div_recp"}, +{ERR_FUNC(BN_F_BN_EXP), "BN_exp"}, +{ERR_FUNC(BN_F_BN_EXPAND2), "bn_expand2"}, +{ERR_FUNC(BN_F_BN_EXPAND_INTERNAL), "BN_EXPAND_INTERNAL"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD), "BN_GF2m_mod"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_EXP), "BN_GF2m_mod_exp"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_MUL), "BN_GF2m_mod_mul"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD), "BN_GF2m_mod_solve_quad"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR), "BN_GF2m_mod_solve_quad_arr"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_SQR), "BN_GF2m_mod_sqr"}, +{ERR_FUNC(BN_F_BN_GF2M_MOD_SQRT), "BN_GF2m_mod_sqrt"}, +{ERR_FUNC(BN_F_BN_MOD_EXP2_MONT), "BN_mod_exp2_mont"}, +{ERR_FUNC(BN_F_BN_MOD_EXP_MONT), "BN_mod_exp_mont"}, +{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_CONSTTIME), "BN_mod_exp_mont_consttime"}, +{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_WORD), "BN_mod_exp_mont_word"}, +{ERR_FUNC(BN_F_BN_MOD_EXP_RECP), "BN_mod_exp_recp"}, +{ERR_FUNC(BN_F_BN_MOD_EXP_SIMPLE), "BN_mod_exp_simple"}, +{ERR_FUNC(BN_F_BN_MOD_INVERSE), "BN_mod_inverse"}, +{ERR_FUNC(BN_F_BN_MOD_INVERSE_NO_BRANCH), "BN_mod_inverse_no_branch"}, +{ERR_FUNC(BN_F_BN_MOD_LSHIFT_QUICK), "BN_mod_lshift_quick"}, +{ERR_FUNC(BN_F_BN_MOD_MUL_RECIPROCAL), "BN_mod_mul_reciprocal"}, +{ERR_FUNC(BN_F_BN_MOD_SQRT), "BN_mod_sqrt"}, +{ERR_FUNC(BN_F_BN_MPI2BN), "BN_mpi2bn"}, +{ERR_FUNC(BN_F_BN_NEW), "BN_new"}, +{ERR_FUNC(BN_F_BN_RAND), "BN_rand"}, +{ERR_FUNC(BN_F_BN_RAND_RANGE), "BN_rand_range"}, +{ERR_FUNC(BN_F_BN_USUB), "BN_usub"}, +{0,NULL} + }; + +static ERR_STRING_DATA BN_str_reasons[]= + { +{ERR_REASON(BN_R_ARG2_LT_ARG3) ,"arg2 lt arg3"}, +{ERR_REASON(BN_R_BAD_RECIPROCAL) ,"bad reciprocal"}, +{ERR_REASON(BN_R_BIGNUM_TOO_LONG) ,"bignum too long"}, +{ERR_REASON(BN_R_CALLED_WITH_EVEN_MODULUS),"called with even modulus"}, +{ERR_REASON(BN_R_DIV_BY_ZERO) ,"div by zero"}, +{ERR_REASON(BN_R_ENCODING_ERROR) ,"encoding error"}, +{ERR_REASON(BN_R_EXPAND_ON_STATIC_BIGNUM_DATA),"expand on static bignum data"}, +{ERR_REASON(BN_R_INPUT_NOT_REDUCED) ,"input not reduced"}, +{ERR_REASON(BN_R_INVALID_LENGTH) ,"invalid length"}, +{ERR_REASON(BN_R_INVALID_RANGE) ,"invalid range"}, +{ERR_REASON(BN_R_NOT_A_SQUARE) ,"not a square"}, +{ERR_REASON(BN_R_NOT_INITIALIZED) ,"not initialized"}, +{ERR_REASON(BN_R_NO_INVERSE) ,"no inverse"}, +{ERR_REASON(BN_R_NO_SOLUTION) ,"no solution"}, +{ERR_REASON(BN_R_P_IS_NOT_PRIME) ,"p is not prime"}, +{ERR_REASON(BN_R_TOO_MANY_ITERATIONS) ,"too many iterations"}, +{ERR_REASON(BN_R_TOO_MANY_TEMPORARY_VARIABLES),"too many temporary variables"}, +{0,NULL} + }; + +#endif + +void ERR_load_BN_strings(void) + { +#ifndef OPENSSL_NO_ERR + + if (ERR_func_error_string(BN_str_functs[0].error) == NULL) + { + ERR_load_strings(0,BN_str_functs); + ERR_load_strings(0,BN_str_reasons); + } +#endif + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_exp.c b/Cryptlib/OpenSSL/crypto/bn/bn_exp.c new file mode 100755 index 00000000..d9b6c737 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_exp.c @@ -0,0 +1,991 @@ +/* crypto/bn/bn_exp.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2005 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). + * + */ + + +#include "cryptlib.h" +#include "bn_lcl.h" + +/* maximum precomputation table size for *variable* sliding windows */ +#define TABLE_SIZE 32 + +/* this one works - simple but works */ +int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) + { + int i,bits,ret=0; + BIGNUM *v,*rr; + + if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) + { + /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */ + BNerr(BN_F_BN_EXP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return -1; + } + + BN_CTX_start(ctx); + if ((r == a) || (r == p)) + rr = BN_CTX_get(ctx); + else + rr = r; + v = BN_CTX_get(ctx); + if (rr == NULL || v == NULL) goto err; + + if (BN_copy(v,a) == NULL) goto err; + bits=BN_num_bits(p); + + if (BN_is_odd(p)) + { if (BN_copy(rr,a) == NULL) goto err; } + else { if (!BN_one(rr)) goto err; } + + for (i=1; i<bits; i++) + { + if (!BN_sqr(v,v,ctx)) goto err; + if (BN_is_bit_set(p,i)) + { + if (!BN_mul(rr,rr,v,ctx)) goto err; + } + } + ret=1; +err: + if (r != rr) BN_copy(r,rr); + BN_CTX_end(ctx); + bn_check_top(r); + return(ret); + } + + +int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, + BN_CTX *ctx) + { + int ret; + + bn_check_top(a); + bn_check_top(p); + bn_check_top(m); + + /* For even modulus m = 2^k*m_odd, it might make sense to compute + * a^p mod m_odd and a^p mod 2^k separately (with Montgomery + * exponentiation for the odd part), using appropriate exponent + * reductions, and combine the results using the CRT. + * + * For now, we use Montgomery only if the modulus is odd; otherwise, + * exponentiation using the reciprocal-based quick remaindering + * algorithm is used. + * + * (Timing obtained with expspeed.c [computations a^p mod m + * where a, p, m are of the same length: 256, 512, 1024, 2048, + * 4096, 8192 bits], compared to the running time of the + * standard algorithm: + * + * BN_mod_exp_mont 33 .. 40 % [AMD K6-2, Linux, debug configuration] + * 55 .. 77 % [UltraSparc processor, but + * debug-solaris-sparcv8-gcc conf.] + * + * BN_mod_exp_recp 50 .. 70 % [AMD K6-2, Linux, debug configuration] + * 62 .. 118 % [UltraSparc, debug-solaris-sparcv8-gcc] + * + * On the Sparc, BN_mod_exp_recp was faster than BN_mod_exp_mont + * at 2048 and more bits, but at 512 and 1024 bits, it was + * slower even than the standard algorithm! + * + * "Real" timings [linux-elf, solaris-sparcv9-gcc configurations] + * should be obtained when the new Montgomery reduction code + * has been integrated into OpenSSL.) + */ + +#define MONT_MUL_MOD +#define MONT_EXP_WORD +#define RECP_MUL_MOD + +#ifdef MONT_MUL_MOD + /* I have finally been able to take out this pre-condition of + * the top bit being set. It was caused by an error in BN_div + * with negatives. There was also another problem when for a^b%m + * a >= m. eay 07-May-97 */ +/* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */ + + if (BN_is_odd(m)) + { +# ifdef MONT_EXP_WORD + if (a->top == 1 && !a->neg && (BN_get_flags(p, BN_FLG_CONSTTIME) == 0)) + { + BN_ULONG A = a->d[0]; + ret=BN_mod_exp_mont_word(r,A,p,m,ctx,NULL); + } + else +# endif + ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL); + } + else +#endif +#ifdef RECP_MUL_MOD + { ret=BN_mod_exp_recp(r,a,p,m,ctx); } +#else + { ret=BN_mod_exp_simple(r,a,p,m,ctx); } +#endif + + bn_check_top(r); + return(ret); + } + + +int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx) + { + int i,j,bits,ret=0,wstart,wend,window,wvalue; + int start=1; + BIGNUM *aa; + /* Table of variables obtained from 'ctx' */ + BIGNUM *val[TABLE_SIZE]; + BN_RECP_CTX recp; + + if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) + { + /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */ + BNerr(BN_F_BN_MOD_EXP_RECP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return -1; + } + + bits=BN_num_bits(p); + + if (bits == 0) + { + ret = BN_one(r); + return ret; + } + + BN_CTX_start(ctx); + aa = BN_CTX_get(ctx); + val[0] = BN_CTX_get(ctx); + if(!aa || !val[0]) goto err; + + BN_RECP_CTX_init(&recp); + if (m->neg) + { + /* ignore sign of 'm' */ + if (!BN_copy(aa, m)) goto err; + aa->neg = 0; + if (BN_RECP_CTX_set(&recp,aa,ctx) <= 0) goto err; + } + else + { + if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err; + } + + if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */ + if (BN_is_zero(val[0])) + { + BN_zero(r); + ret = 1; + goto err; + } + + window = BN_window_bits_for_exponent_size(bits); + if (window > 1) + { + if (!BN_mod_mul_reciprocal(aa,val[0],val[0],&recp,ctx)) + goto err; /* 2 */ + j=1<<(window-1); + for (i=1; i<j; i++) + { + if(((val[i] = BN_CTX_get(ctx)) == NULL) || + !BN_mod_mul_reciprocal(val[i],val[i-1], + aa,&recp,ctx)) + goto err; + } + } + + start=1; /* This is used to avoid multiplication etc + * when there is only the value '1' in the + * buffer. */ + wvalue=0; /* The 'value' of the window */ + wstart=bits-1; /* The top bit of the window */ + wend=0; /* The bottom bit of the window */ + + if (!BN_one(r)) goto err; + + for (;;) + { + if (BN_is_bit_set(p,wstart) == 0) + { + if (!start) + if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) + goto err; + if (wstart == 0) break; + wstart--; + continue; + } + /* We now have wstart on a 'set' bit, we now need to work out + * how bit a window to do. To do this we need to scan + * forward until the last set bit before the end of the + * window */ + j=wstart; + wvalue=1; + wend=0; + for (i=1; i<window; i++) + { + if (wstart-i < 0) break; + if (BN_is_bit_set(p,wstart-i)) + { + wvalue<<=(i-wend); + wvalue|=1; + wend=i; + } + } + + /* wend is the size of the current window */ + j=wend+1; + /* add the 'bytes above' */ + if (!start) + for (i=0; i<j; i++) + { + if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx)) + goto err; + } + + /* wvalue will be an odd number < 2^window */ + if (!BN_mod_mul_reciprocal(r,r,val[wvalue>>1],&recp,ctx)) + goto err; + + /* move the 'window' down further */ + wstart-=wend+1; + wvalue=0; + start=0; + if (wstart < 0) break; + } + ret=1; +err: + BN_CTX_end(ctx); + BN_RECP_CTX_free(&recp); + bn_check_top(r); + return(ret); + } + + +int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) + { + int i,j,bits,ret=0,wstart,wend,window,wvalue; + int start=1; + BIGNUM *d,*r; + const BIGNUM *aa; + /* Table of variables obtained from 'ctx' */ + BIGNUM *val[TABLE_SIZE]; + BN_MONT_CTX *mont=NULL; + + if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) + { + return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont); + } + + bn_check_top(a); + bn_check_top(p); + bn_check_top(m); + + if (!BN_is_odd(m)) + { + BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS); + return(0); + } + bits=BN_num_bits(p); + if (bits == 0) + { + ret = BN_one(rr); + return ret; + } + + BN_CTX_start(ctx); + d = BN_CTX_get(ctx); + r = BN_CTX_get(ctx); + val[0] = BN_CTX_get(ctx); + if (!d || !r || !val[0]) goto err; + + /* If this is not done, things will break in the montgomery + * part */ + + if (in_mont != NULL) + mont=in_mont; + else + { + if ((mont=BN_MONT_CTX_new()) == NULL) goto err; + if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; + } + + if (a->neg || BN_ucmp(a,m) >= 0) + { + if (!BN_nnmod(val[0],a,m,ctx)) + goto err; + aa= val[0]; + } + else + aa=a; + if (BN_is_zero(aa)) + { + BN_zero(rr); + ret = 1; + goto err; + } + if (!BN_to_montgomery(val[0],aa,mont,ctx)) goto err; /* 1 */ + + window = BN_window_bits_for_exponent_size(bits); + if (window > 1) + { + if (!BN_mod_mul_montgomery(d,val[0],val[0],mont,ctx)) goto err; /* 2 */ + j=1<<(window-1); + for (i=1; i<j; i++) + { + if(((val[i] = BN_CTX_get(ctx)) == NULL) || + !BN_mod_mul_montgomery(val[i],val[i-1], + d,mont,ctx)) + goto err; + } + } + + start=1; /* This is used to avoid multiplication etc + * when there is only the value '1' in the + * buffer. */ + wvalue=0; /* The 'value' of the window */ + wstart=bits-1; /* The top bit of the window */ + wend=0; /* The bottom bit of the window */ + + if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err; + for (;;) + { + if (BN_is_bit_set(p,wstart) == 0) + { + if (!start) + { + if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) + goto err; + } + if (wstart == 0) break; + wstart--; + continue; + } + /* We now have wstart on a 'set' bit, we now need to work out + * how bit a window to do. To do this we need to scan + * forward until the last set bit before the end of the + * window */ + j=wstart; + wvalue=1; + wend=0; + for (i=1; i<window; i++) + { + if (wstart-i < 0) break; + if (BN_is_bit_set(p,wstart-i)) + { + wvalue<<=(i-wend); + wvalue|=1; + wend=i; + } + } + + /* wend is the size of the current window */ + j=wend+1; + /* add the 'bytes above' */ + if (!start) + for (i=0; i<j; i++) + { + if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) + goto err; + } + + /* wvalue will be an odd number < 2^window */ + if (!BN_mod_mul_montgomery(r,r,val[wvalue>>1],mont,ctx)) + goto err; + + /* move the 'window' down further */ + wstart-=wend+1; + wvalue=0; + start=0; + if (wstart < 0) break; + } + if (!BN_from_montgomery(rr,r,mont,ctx)) goto err; + ret=1; +err: + if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); + BN_CTX_end(ctx); + bn_check_top(rr); + return(ret); + } + + +/* BN_mod_exp_mont_consttime() stores the precomputed powers in a specific layout + * so that accessing any of these table values shows the same access pattern as far + * as cache lines are concerned. The following functions are used to transfer a BIGNUM + * from/to that table. */ + +static int MOD_EXP_CTIME_COPY_TO_PREBUF(BIGNUM *b, int top, unsigned char *buf, int idx, int width) + { + size_t i, j; + + if (bn_wexpand(b, top) == NULL) + return 0; + while (b->top < top) + { + b->d[b->top++] = 0; + } + + for (i = 0, j=idx; i < top * sizeof b->d[0]; i++, j+=width) + { + buf[j] = ((unsigned char*)b->d)[i]; + } + + bn_correct_top(b); + return 1; + } + +static int MOD_EXP_CTIME_COPY_FROM_PREBUF(BIGNUM *b, int top, unsigned char *buf, int idx, int width) + { + size_t i, j; + + if (bn_wexpand(b, top) == NULL) + return 0; + + for (i=0, j=idx; i < top * sizeof b->d[0]; i++, j+=width) + { + ((unsigned char*)b->d)[i] = buf[j]; + } + + b->top = top; + bn_correct_top(b); + return 1; + } + +/* Given a pointer value, compute the next address that is a cache line multiple. */ +#define MOD_EXP_CTIME_ALIGN(x_) \ + ((unsigned char*)(x_) + (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - (((BN_ULONG)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK)))) + +/* This variant of BN_mod_exp_mont() uses fixed windows and the special + * precomputation memory layout to limit data-dependency to a minimum + * to protect secret exponents (cf. the hyper-threading timing attacks + * pointed out by Colin Percival, + * http://www.daemonology.net/hyperthreading-considered-harmful/) + */ +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 i,bits,ret=0,idx,window,wvalue; + int top; + BIGNUM *r; + const BIGNUM *aa; + BN_MONT_CTX *mont=NULL; + + int numPowers; + unsigned char *powerbufFree=NULL; + int powerbufLen = 0; + unsigned char *powerbuf=NULL; + BIGNUM *computeTemp=NULL, *am=NULL; + + bn_check_top(a); + bn_check_top(p); + bn_check_top(m); + + top = m->top; + + if (!(m->d[0] & 1)) + { + BNerr(BN_F_BN_MOD_EXP_MONT_CONSTTIME,BN_R_CALLED_WITH_EVEN_MODULUS); + return(0); + } + bits=BN_num_bits(p); + if (bits == 0) + { + ret = BN_one(rr); + return ret; + } + + /* Initialize BIGNUM context and allocate intermediate result */ + BN_CTX_start(ctx); + r = BN_CTX_get(ctx); + if (r == NULL) goto err; + + /* Allocate a montgomery context if it was not supplied by the caller. + * If this is not done, things will break in the montgomery part. + */ + if (in_mont != NULL) + mont=in_mont; + else + { + if ((mont=BN_MONT_CTX_new()) == NULL) goto err; + if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; + } + + /* Get the window size to use with size of p. */ + window = BN_window_bits_for_ctime_exponent_size(bits); + + /* Allocate a buffer large enough to hold all of the pre-computed + * powers of a. + */ + numPowers = 1 << window; + powerbufLen = sizeof(m->d[0])*top*numPowers; + if ((powerbufFree=(unsigned char*)OPENSSL_malloc(powerbufLen+MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH)) == NULL) + goto err; + + powerbuf = MOD_EXP_CTIME_ALIGN(powerbufFree); + memset(powerbuf, 0, powerbufLen); + + /* Initialize the intermediate result. Do this early to save double conversion, + * once each for a^0 and intermediate result. + */ + if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err; + if (!MOD_EXP_CTIME_COPY_TO_PREBUF(r, top, powerbuf, 0, numPowers)) goto err; + + /* Initialize computeTemp as a^1 with montgomery precalcs */ + computeTemp = BN_CTX_get(ctx); + am = BN_CTX_get(ctx); + if (computeTemp==NULL || am==NULL) goto err; + + if (a->neg || BN_ucmp(a,m) >= 0) + { + if (!BN_mod(am,a,m,ctx)) + goto err; + aa= am; + } + else + aa=a; + if (!BN_to_montgomery(am,aa,mont,ctx)) goto err; + if (!BN_copy(computeTemp, am)) goto err; + if (!MOD_EXP_CTIME_COPY_TO_PREBUF(am, top, powerbuf, 1, numPowers)) goto err; + + /* If the window size is greater than 1, then calculate + * val[i=2..2^winsize-1]. Powers are computed as a*a^(i-1) + * (even powers could instead be computed as (a^(i/2))^2 + * to use the slight performance advantage of sqr over mul). + */ + if (window > 1) + { + for (i=2; i<numPowers; i++) + { + /* Calculate a^i = a^(i-1) * a */ + if (!BN_mod_mul_montgomery(computeTemp,am,computeTemp,mont,ctx)) + goto err; + if (!MOD_EXP_CTIME_COPY_TO_PREBUF(computeTemp, top, powerbuf, i, numPowers)) goto err; + } + } + + /* Adjust the number of bits up to a multiple of the window size. + * If the exponent length is not a multiple of the window size, then + * this pads the most significant bits with zeros to normalize the + * scanning loop to there's no special cases. + * + * * NOTE: Making the window size a power of two less than the native + * * word size ensures that the padded bits won't go past the last + * * word in the internal BIGNUM structure. Going past the end will + * * still produce the correct result, but causes a different branch + * * to be taken in the BN_is_bit_set function. + */ + bits = ((bits+window-1)/window)*window; + idx=bits-1; /* The top bit of the window */ + + /* Scan the exponent one window at a time starting from the most + * significant bits. + */ + while (idx >= 0) + { + wvalue=0; /* The 'value' of the window */ + + /* Scan the window, squaring the result as we go */ + for (i=0; i<window; i++,idx--) + { + if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) goto err; + wvalue = (wvalue<<1)+BN_is_bit_set(p,idx); + } + + /* Fetch the appropriate pre-computed value from the pre-buf */ + if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(computeTemp, top, powerbuf, wvalue, numPowers)) goto err; + + /* Multiply the result into the intermediate result */ + if (!BN_mod_mul_montgomery(r,r,computeTemp,mont,ctx)) goto err; + } + + /* Convert the final result from montgomery to standard format */ + if (!BN_from_montgomery(rr,r,mont,ctx)) goto err; + ret=1; +err: + if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); + if (powerbuf!=NULL) + { + OPENSSL_cleanse(powerbuf,powerbufLen); + OPENSSL_free(powerbufFree); + } + if (am!=NULL) BN_clear(am); + if (computeTemp!=NULL) BN_clear(computeTemp); + BN_CTX_end(ctx); + return(ret); + } + +int BN_mod_exp_mont_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont) + { + BN_MONT_CTX *mont = NULL; + int b, bits, ret=0; + int r_is_one; + BN_ULONG w, next_w; + BIGNUM *d, *r, *t; + BIGNUM *swap_tmp; +#define BN_MOD_MUL_WORD(r, w, m) \ + (BN_mul_word(r, (w)) && \ + (/* BN_ucmp(r, (m)) < 0 ? 1 :*/ \ + (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1)))) + /* BN_MOD_MUL_WORD is only used with 'w' large, + * so the BN_ucmp test is probably more overhead + * than always using BN_mod (which uses BN_copy if + * a similar test returns true). */ + /* We can use BN_mod and do not need BN_nnmod because our + * accumulator is never negative (the result of BN_mod does + * not depend on the sign of the modulus). + */ +#define BN_TO_MONTGOMERY_WORD(r, w, mont) \ + (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx)) + + if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) + { + /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */ + BNerr(BN_F_BN_MOD_EXP_MONT_WORD,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return -1; + } + + bn_check_top(p); + bn_check_top(m); + + if (!BN_is_odd(m)) + { + BNerr(BN_F_BN_MOD_EXP_MONT_WORD,BN_R_CALLED_WITH_EVEN_MODULUS); + return(0); + } + if (m->top == 1) + a %= m->d[0]; /* make sure that 'a' is reduced */ + + bits = BN_num_bits(p); + if (bits == 0) + { + ret = BN_one(rr); + return ret; + } + if (a == 0) + { + BN_zero(rr); + ret = 1; + return ret; + } + + BN_CTX_start(ctx); + d = BN_CTX_get(ctx); + r = BN_CTX_get(ctx); + t = BN_CTX_get(ctx); + if (d == NULL || r == NULL || t == NULL) goto err; + + if (in_mont != NULL) + mont=in_mont; + else + { + if ((mont = BN_MONT_CTX_new()) == NULL) goto err; + if (!BN_MONT_CTX_set(mont, m, ctx)) goto err; + } + + r_is_one = 1; /* except for Montgomery factor */ + + /* bits-1 >= 0 */ + + /* The result is accumulated in the product r*w. */ + w = a; /* bit 'bits-1' of 'p' is always set */ + for (b = bits-2; b >= 0; b--) + { + /* First, square r*w. */ + next_w = w*w; + if ((next_w/w) != w) /* overflow */ + { + if (r_is_one) + { + if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; + r_is_one = 0; + } + else + { + if (!BN_MOD_MUL_WORD(r, w, m)) goto err; + } + next_w = 1; + } + w = next_w; + if (!r_is_one) + { + if (!BN_mod_mul_montgomery(r, r, r, mont, ctx)) goto err; + } + + /* Second, multiply r*w by 'a' if exponent bit is set. */ + if (BN_is_bit_set(p, b)) + { + next_w = w*a; + if ((next_w/a) != w) /* overflow */ + { + if (r_is_one) + { + if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; + r_is_one = 0; + } + else + { + if (!BN_MOD_MUL_WORD(r, w, m)) goto err; + } + next_w = a; + } + w = next_w; + } + } + + /* Finally, set r:=r*w. */ + if (w != 1) + { + if (r_is_one) + { + if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err; + r_is_one = 0; + } + else + { + if (!BN_MOD_MUL_WORD(r, w, m)) goto err; + } + } + + if (r_is_one) /* can happen only if a == 1*/ + { + if (!BN_one(rr)) goto err; + } + else + { + if (!BN_from_montgomery(rr, r, mont, ctx)) goto err; + } + ret = 1; +err: + if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); + BN_CTX_end(ctx); + bn_check_top(rr); + return(ret); + } + + +/* The old fallback, simple version :-) */ +int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx) + { + int i,j,bits,ret=0,wstart,wend,window,wvalue; + int start=1; + BIGNUM *d; + /* Table of variables obtained from 'ctx' */ + BIGNUM *val[TABLE_SIZE]; + + if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0) + { + /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */ + BNerr(BN_F_BN_MOD_EXP_SIMPLE,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); + return -1; + } + + bits=BN_num_bits(p); + + if (bits == 0) + { + ret = BN_one(r); + return ret; + } + + BN_CTX_start(ctx); + d = BN_CTX_get(ctx); + val[0] = BN_CTX_get(ctx); + if(!d || !val[0]) goto err; + + if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */ + if (BN_is_zero(val[0])) + { + BN_zero(r); + ret = 1; + goto err; + } + + window = BN_window_bits_for_exponent_size(bits); + if (window > 1) + { + if (!BN_mod_mul(d,val[0],val[0],m,ctx)) + goto err; /* 2 */ + j=1<<(window-1); + for (i=1; i<j; i++) + { + if(((val[i] = BN_CTX_get(ctx)) == NULL) || + !BN_mod_mul(val[i],val[i-1],d,m,ctx)) + goto err; + } + } + + start=1; /* This is used to avoid multiplication etc + * when there is only the value '1' in the + * buffer. */ + wvalue=0; /* The 'value' of the window */ + wstart=bits-1; /* The top bit of the window */ + wend=0; /* The bottom bit of the window */ + + if (!BN_one(r)) goto err; + + for (;;) + { + if (BN_is_bit_set(p,wstart) == 0) + { + if (!start) + if (!BN_mod_mul(r,r,r,m,ctx)) + goto err; + if (wstart == 0) break; + wstart--; + continue; + } + /* We now have wstart on a 'set' bit, we now need to work out + * how bit a window to do. To do this we need to scan + * forward until the last set bit before the end of the + * window */ + j=wstart; + wvalue=1; + wend=0; + for (i=1; i<window; i++) + { + if (wstart-i < 0) break; + if (BN_is_bit_set(p,wstart-i)) + { + wvalue<<=(i-wend); + wvalue|=1; + wend=i; + } + } + + /* wend is the size of the current window */ + j=wend+1; + /* add the 'bytes above' */ + if (!start) + for (i=0; i<j; i++) + { + if (!BN_mod_mul(r,r,r,m,ctx)) + goto err; + } + + /* wvalue will be an odd number < 2^window */ + if (!BN_mod_mul(r,r,val[wvalue>>1],m,ctx)) + goto err; + + /* move the 'window' down further */ + wstart-=wend+1; + wvalue=0; + start=0; + if (wstart < 0) break; + } + ret=1; +err: + BN_CTX_end(ctx); + bn_check_top(r); + return(ret); + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c b/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c new file mode 100755 index 00000000..bd0c34b9 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_exp2.c @@ -0,0 +1,312 @@ +/* crypto/bn/bn_exp2.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2000 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). + * + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +#define TABLE_SIZE 32 + +int BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1, + const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, + BN_CTX *ctx, BN_MONT_CTX *in_mont) + { + int i,j,bits,b,bits1,bits2,ret=0,wpos1,wpos2,window1,window2,wvalue1,wvalue2; + int r_is_one=1; + BIGNUM *d,*r; + const BIGNUM *a_mod_m; + /* Tables of variables obtained from 'ctx' */ + BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE]; + BN_MONT_CTX *mont=NULL; + + bn_check_top(a1); + bn_check_top(p1); + bn_check_top(a2); + bn_check_top(p2); + bn_check_top(m); + + if (!(m->d[0] & 1)) + { + BNerr(BN_F_BN_MOD_EXP2_MONT,BN_R_CALLED_WITH_EVEN_MODULUS); + return(0); + } + bits1=BN_num_bits(p1); + bits2=BN_num_bits(p2); + if ((bits1 == 0) && (bits2 == 0)) + { + ret = BN_one(rr); + return ret; + } + + bits=(bits1 > bits2)?bits1:bits2; + + BN_CTX_start(ctx); + d = BN_CTX_get(ctx); + r = BN_CTX_get(ctx); + val1[0] = BN_CTX_get(ctx); + val2[0] = BN_CTX_get(ctx); + if(!d || !r || !val1[0] || !val2[0]) goto err; + + if (in_mont != NULL) + mont=in_mont; + else + { + if ((mont=BN_MONT_CTX_new()) == NULL) goto err; + if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; + } + + window1 = BN_window_bits_for_exponent_size(bits1); + window2 = BN_window_bits_for_exponent_size(bits2); + + /* + * Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1) + */ + if (a1->neg || BN_ucmp(a1,m) >= 0) + { + if (!BN_mod(val1[0],a1,m,ctx)) + goto err; + a_mod_m = val1[0]; + } + else + a_mod_m = a1; + if (BN_is_zero(a_mod_m)) + { + BN_zero(rr); + ret = 1; + goto err; + } + + if (!BN_to_montgomery(val1[0],a_mod_m,mont,ctx)) goto err; + if (window1 > 1) + { + if (!BN_mod_mul_montgomery(d,val1[0],val1[0],mont,ctx)) goto err; + + j=1<<(window1-1); + for (i=1; i<j; i++) + { + if(((val1[i] = BN_CTX_get(ctx)) == NULL) || + !BN_mod_mul_montgomery(val1[i],val1[i-1], + d,mont,ctx)) + goto err; + } + } + + + /* + * Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1) + */ + if (a2->neg || BN_ucmp(a2,m) >= 0) + { + if (!BN_mod(val2[0],a2,m,ctx)) + goto err; + a_mod_m = val2[0]; + } + else + a_mod_m = a2; + if (BN_is_zero(a_mod_m)) + { + BN_zero(rr); + ret = 1; + goto err; + } + if (!BN_to_montgomery(val2[0],a_mod_m,mont,ctx)) goto err; + if (window2 > 1) + { + if (!BN_mod_mul_montgomery(d,val2[0],val2[0],mont,ctx)) goto err; + + j=1<<(window2-1); + for (i=1; i<j; i++) + { + if(((val2[i] = BN_CTX_get(ctx)) == NULL) || + !BN_mod_mul_montgomery(val2[i],val2[i-1], + d,mont,ctx)) + goto err; + } + } + + + /* Now compute the power product, using independent windows. */ + r_is_one=1; + wvalue1=0; /* The 'value' of the first window */ + wvalue2=0; /* The 'value' of the second window */ + wpos1=0; /* If wvalue1 > 0, the bottom bit of the first window */ + wpos2=0; /* If wvalue2 > 0, the bottom bit of the second window */ + + if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err; + for (b=bits-1; b>=0; b--) + { + if (!r_is_one) + { + if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) + goto err; + } + + if (!wvalue1) + if (BN_is_bit_set(p1, b)) + { + /* consider bits b-window1+1 .. b for this window */ + i = b-window1+1; + while (!BN_is_bit_set(p1, i)) /* works for i<0 */ + i++; + wpos1 = i; + wvalue1 = 1; + for (i = b-1; i >= wpos1; i--) + { + wvalue1 <<= 1; + if (BN_is_bit_set(p1, i)) + wvalue1++; + } + } + + if (!wvalue2) + if (BN_is_bit_set(p2, b)) + { + /* consider bits b-window2+1 .. b for this window */ + i = b-window2+1; + while (!BN_is_bit_set(p2, i)) + i++; + wpos2 = i; + wvalue2 = 1; + for (i = b-1; i >= wpos2; i--) + { + wvalue2 <<= 1; + if (BN_is_bit_set(p2, i)) + wvalue2++; + } + } + + if (wvalue1 && b == wpos1) + { + /* wvalue1 is odd and < 2^window1 */ + if (!BN_mod_mul_montgomery(r,r,val1[wvalue1>>1],mont,ctx)) + goto err; + wvalue1 = 0; + r_is_one = 0; + } + + if (wvalue2 && b == wpos2) + { + /* wvalue2 is odd and < 2^window2 */ + if (!BN_mod_mul_montgomery(r,r,val2[wvalue2>>1],mont,ctx)) + goto err; + wvalue2 = 0; + r_is_one = 0; + } + } + if (!BN_from_montgomery(rr,r,mont,ctx)) + goto err; + ret=1; +err: + if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); + BN_CTX_end(ctx); + bn_check_top(rr); + return(ret); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c new file mode 100755 index 00000000..4a352119 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c @@ -0,0 +1,654 @@ +/* crypto/bn/bn_gcd.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2001 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). + * + */ + +#include "cryptlib.h" +#include "bn_lcl.h" + +static BIGNUM *euclid(BIGNUM *a, BIGNUM *b); + +int BN_gcd(BIGNUM *r, const BIGNUM *in_a, const BIGNUM *in_b, BN_CTX *ctx) + { + BIGNUM *a,*b,*t; + int ret=0; + + bn_check_top(in_a); + bn_check_top(in_b); + + BN_CTX_start(ctx); + a = BN_CTX_get(ctx); + b = BN_CTX_get(ctx); + if (a == NULL || b == NULL) goto err; + + if (BN_copy(a,in_a) == NULL) goto err; + if (BN_copy(b,in_b) == NULL) goto err; + a->neg = 0; + b->neg = 0; + + if (BN_cmp(a,b) < 0) { t=a; a=b; b=t; } + t=euclid(a,b); + if (t == NULL) goto err; + + if (BN_copy(r,t) == NULL) goto err; + ret=1; +err: + BN_CTX_end(ctx); + bn_check_top(r); + return(ret); + } + +static BIGNUM *euclid(BIGNUM *a, BIGNUM *b) + { + BIGNUM *t; + int shifts=0; + + bn_check_top(a); + bn_check_top(b); + + /* 0 <= b <= a */ + while (!BN_is_zero(b)) + { + /* 0 < b <= a */ + + if (BN_is_odd(a)) + { + if (BN_is_odd(b)) + { + if (!BN_sub(a,a,b)) goto err; + if (!BN_rshift1(a,a)) goto err; + if (BN_cmp(a,b) < 0) + { t=a; a=b; b=t; } + } + else /* a odd - b even */ + { + if (!BN_rshift1(b,b)) goto err; + if (BN_cmp(a,b) < 0) + { t=a; a=b; b=t; } + } + } + else /* a is even */ + { + if (BN_is_odd(b)) + { + if (!BN_rshift1(a,a)) goto err; + if (BN_cmp(a,b) < 0) + { t=a; a=b; b=t; } + } + else /* a even - b even */ + { + if (!BN_rshift1(a,a)) goto err; + if (!BN_rshift1(b,b)) goto err; + shifts++; + } + } + /* 0 <= b <= a */ + } + + if (shifts) + { + if (!BN_lshift(a,a,shifts)) goto err; + } + bn_check_top(a); + return(a); +err: + return(NULL); + } + + +/* solves ax == 1 (mod n) */ +static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); +BIGNUM *BN_mod_inverse(BIGNUM *in, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx) + { + BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL; + BIGNUM *ret=NULL; + int sign; + + if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) + { + return BN_mod_inverse_no_branch(in, a, n, ctx); + } + + bn_check_top(a); + bn_check_top(n); + + BN_CTX_start(ctx); + A = BN_CTX_get(ctx); + B = BN_CTX_get(ctx); + X = BN_CTX_get(ctx); + D = BN_CTX_get(ctx); + M = BN_CTX_get(ctx); + Y = BN_CTX_get(ctx); + T = BN_CTX_get(ctx); + if (T == NULL) goto err; + + if (in == NULL) + R=BN_new(); + else + R=in; + if (R == NULL) goto err; + + BN_one(X); + BN_zero(Y); + if (BN_copy(B,a) == NULL) goto err; + if (BN_copy(A,n) == NULL) goto err; + A->neg = 0; + if (B->neg || (BN_ucmp(B, A) >= 0)) + { + if (!BN_nnmod(B, B, A, ctx)) goto err; + } + sign = -1; + /* From B = a mod |n|, A = |n| it follows that + * + * 0 <= B < A, + * -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|). + */ + + if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048))) + { + /* Binary inversion algorithm; requires odd modulus. + * This is faster than the general algorithm if the modulus + * is sufficiently small (about 400 .. 500 bits on 32-bit + * sytems, but much more on 64-bit systems) */ + int shift; + + while (!BN_is_zero(B)) + { + /* + * 0 < B < |n|, + * 0 < A <= |n|, + * (1) -sign*X*a == B (mod |n|), + * (2) sign*Y*a == A (mod |n|) + */ + + /* Now divide B by the maximum possible power of two in the integers, + * and divide X by the same value mod |n|. + * When we're done, (1) still holds. */ + shift = 0; + while (!BN_is_bit_set(B, shift)) /* note that 0 < B */ + { + shift++; + + if (BN_is_odd(X)) + { + if (!BN_uadd(X, X, n)) goto err; + } + /* now X is even, so we can easily divide it by two */ + if (!BN_rshift1(X, X)) goto err; + } + if (shift > 0) + { + if (!BN_rshift(B, B, shift)) goto err; + } + + + /* Same for A and Y. Afterwards, (2) still holds. */ + shift = 0; + while (!BN_is_bit_set(A, shift)) /* note that 0 < A */ + { + shift++; + + if (BN_is_odd(Y)) + { + if (!BN_uadd(Y, Y, n)) goto err; + } + /* now Y is even */ + if (!BN_rshift1(Y, Y)) goto err; + } + if (shift > 0) + { + if (!BN_rshift(A, A, shift)) goto err; + } + + + /* We still have (1) and (2). + * Both A and B are odd. + * The following computations ensure that + * + * 0 <= B < |n|, + * 0 < A < |n|, + * (1) -sign*X*a == B (mod |n|), + * (2) sign*Y*a == A (mod |n|), + * + * and that either A or B is even in the next iteration. + */ + if (BN_ucmp(B, A) >= 0) + { + /* -sign*(X + Y)*a == B - A (mod |n|) */ + if (!BN_uadd(X, X, Y)) goto err; + /* NB: we could use BN_mod_add_quick(X, X, Y, n), but that + * actually makes the algorithm slower */ + if (!BN_usub(B, B, A)) goto err; + } + else + { + /* sign*(X + Y)*a == A - B (mod |n|) */ + if (!BN_uadd(Y, Y, X)) goto err; + /* as above, BN_mod_add_quick(Y, Y, X, n) would slow things down */ + if (!BN_usub(A, A, B)) goto err; + } + } + } + else + { + /* general inversion algorithm */ + + while (!BN_is_zero(B)) + { + BIGNUM *tmp; + + /* + * 0 < B < A, + * (*) -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|) + */ + + /* (D, M) := (A/B, A%B) ... */ + if (BN_num_bits(A) == BN_num_bits(B)) + { + if (!BN_one(D)) goto err; + if (!BN_sub(M,A,B)) goto err; + } + else if (BN_num_bits(A) == BN_num_bits(B) + 1) + { + /* A/B is 1, 2, or 3 */ + if (!BN_lshift1(T,B)) goto err; + if (BN_ucmp(A,T) < 0) + { + /* A < 2*B, so D=1 */ + if (!BN_one(D)) goto err; + if (!BN_sub(M,A,B)) goto err; + } + else + { + /* A >= 2*B, so D=2 or D=3 */ + if (!BN_sub(M,A,T)) goto err; + if (!BN_add(D,T,B)) goto err; /* use D (:= 3*B) as temp */ + if (BN_ucmp(A,D) < 0) + { + /* A < 3*B, so D=2 */ + if (!BN_set_word(D,2)) goto err; + /* M (= A - 2*B) already has the correct value */ + } + else + { + /* only D=3 remains */ + if (!BN_set_word(D,3)) goto err; + /* currently M = A - 2*B, but we need M = A - 3*B */ + if (!BN_sub(M,M,B)) goto err; + } + } + } + else + { + if (!BN_div(D,M,A,B,ctx)) goto err; + } + + /* Now + * A = D*B + M; + * thus we have + * (**) sign*Y*a == D*B + M (mod |n|). + */ + + tmp=A; /* keep the BIGNUM object, the value does not matter */ + + /* (A, B) := (B, A mod B) ... */ + A=B; + B=M; + /* ... so we have 0 <= B < A again */ + + /* Since the former M is now B and the former B is now A, + * (**) translates into + * sign*Y*a == D*A + B (mod |n|), + * i.e. + * sign*Y*a - D*A == B (mod |n|). + * Similarly, (*) translates into + * -sign*X*a == A (mod |n|). + * + * Thus, + * sign*Y*a + D*sign*X*a == B (mod |n|), + * i.e. + * sign*(Y + D*X)*a == B (mod |n|). + * + * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at + * -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|). + * Note that X and Y stay non-negative all the time. + */ + + /* most of the time D is very small, so we can optimize tmp := D*X+Y */ + if (BN_is_one(D)) + { + if (!BN_add(tmp,X,Y)) goto err; + } + else + { + if (BN_is_word(D,2)) + { + if (!BN_lshift1(tmp,X)) goto err; + } + else if (BN_is_word(D,4)) + { + if (!BN_lshift(tmp,X,2)) goto err; + } + else if (D->top == 1) + { + if (!BN_copy(tmp,X)) goto err; + if (!BN_mul_word(tmp,D->d[0])) goto err; + } + else + { + if (!BN_mul(tmp,D,X,ctx)) goto err; + } + if (!BN_add(tmp,tmp,Y)) goto err; + } + + M=Y; /* keep the BIGNUM object, the value does not matter */ + Y=X; + X=tmp; + sign = -sign; + } + } + + /* + * The while loop (Euclid's algorithm) ends when + * A == gcd(a,n); + * we have + * sign*Y*a == A (mod |n|), + * where Y is non-negative. + */ + + if (sign < 0) + { + if (!BN_sub(Y,n,Y)) goto err; + } + /* Now Y*a == A (mod |n|). */ + + + if (BN_is_one(A)) + { + /* Y*a == 1 (mod |n|) */ + if (!Y->neg && BN_ucmp(Y,n) < 0) + { + if (!BN_copy(R,Y)) goto err; + } + else + { + if (!BN_nnmod(R,Y,n,ctx)) goto err; + } + } + else + { + BNerr(BN_F_BN_MOD_INVERSE,BN_R_NO_INVERSE); + goto err; + } + ret=R; +err: + if ((ret == NULL) && (in == NULL)) BN_free(R); + BN_CTX_end(ctx); + bn_check_top(ret); + return(ret); + } + + +/* BN_mod_inverse_no_branch is a special version of BN_mod_inverse. + * It does not contain branches that may leak sensitive information. + */ +static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx) + { + BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL; + BIGNUM local_A, local_B; + BIGNUM *pA, *pB; + BIGNUM *ret=NULL; + int sign; + + bn_check_top(a); + bn_check_top(n); + + BN_CTX_start(ctx); + A = BN_CTX_get(ctx); + B = BN_CTX_get(ctx); + X = BN_CTX_get(ctx); + D = BN_CTX_get(ctx); + M = BN_CTX_get(ctx); + Y = BN_CTX_get(ctx); + T = BN_CTX_get(ctx); + if (T == NULL) goto err; + + if (in == NULL) + R=BN_new(); + else + R=in; + if (R == NULL) goto err; + + BN_one(X); + BN_zero(Y); + if (BN_copy(B,a) == NULL) goto err; + if (BN_copy(A,n) == NULL) goto err; + A->neg = 0; + + if (B->neg || (BN_ucmp(B, A) >= 0)) + { + /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked, + * BN_div_no_branch will be called eventually. + */ + pB = &local_B; + BN_with_flags(pB, B, BN_FLG_CONSTTIME); + if (!BN_nnmod(B, pB, A, ctx)) goto err; + } + sign = -1; + /* From B = a mod |n|, A = |n| it follows that + * + * 0 <= B < A, + * -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|). + */ + + while (!BN_is_zero(B)) + { + BIGNUM *tmp; + + /* + * 0 < B < A, + * (*) -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|) + */ + + /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked, + * BN_div_no_branch will be called eventually. + */ + pA = &local_A; + BN_with_flags(pA, A, BN_FLG_CONSTTIME); + + /* (D, M) := (A/B, A%B) ... */ + if (!BN_div(D,M,pA,B,ctx)) goto err; + + /* Now + * A = D*B + M; + * thus we have + * (**) sign*Y*a == D*B + M (mod |n|). + */ + + tmp=A; /* keep the BIGNUM object, the value does not matter */ + + /* (A, B) := (B, A mod B) ... */ + A=B; + B=M; + /* ... so we have 0 <= B < A again */ + + /* Since the former M is now B and the former B is now A, + * (**) translates into + * sign*Y*a == D*A + B (mod |n|), + * i.e. + * sign*Y*a - D*A == B (mod |n|). + * Similarly, (*) translates into + * -sign*X*a == A (mod |n|). + * + * Thus, + * sign*Y*a + D*sign*X*a == B (mod |n|), + * i.e. + * sign*(Y + D*X)*a == B (mod |n|). + * + * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at + * -sign*X*a == B (mod |n|), + * sign*Y*a == A (mod |n|). + * Note that X and Y stay non-negative all the time. + */ + + if (!BN_mul(tmp,D,X,ctx)) goto err; + if (!BN_add(tmp,tmp,Y)) goto err; + + M=Y; /* keep the BIGNUM object, the value does not matter */ + Y=X; + X=tmp; + sign = -sign; + } + + /* + * The while loop (Euclid's algorithm) ends when + * A == gcd(a,n); + * we have + * sign*Y*a == A (mod |n|), + * where Y is non-negative. + */ + + if (sign < 0) + { + if (!BN_sub(Y,n,Y)) goto err; + } + /* Now Y*a == A (mod |n|). */ + + if (BN_is_one(A)) + { + /* Y*a == 1 (mod |n|) */ + if (!Y->neg && BN_ucmp(Y,n) < 0) + { + if (!BN_copy(R,Y)) goto err; + } + else + { + if (!BN_nnmod(R,Y,n,ctx)) goto err; + } + } + else + { + BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH,BN_R_NO_INVERSE); + goto err; + } + ret=R; +err: + if ((ret == NULL) && (in == NULL)) BN_free(R); + BN_CTX_end(ctx); + bn_check_top(ret); + return(ret); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c b/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c new file mode 100755 index 00000000..5d90f1e8 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_gf2m.c @@ -0,0 +1,1097 @@ +/* crypto/bn/bn_gf2m.c */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * The Elliptic Curve Public-Key Crypto Library (ECC Code) included + * herein is developed by SUN MICROSYSTEMS, INC., and is contributed + * to the OpenSSL project. + * + * The ECC Code is licensed pursuant to the OpenSSL open source + * license provided below. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the ECC Code as delivered hereunder (or portions thereof), + * provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the ECC Code; + * 2) separates from the ECC Code; or + * 3) for infringements caused by: + * i) the modification of the ECC Code or + * ii) the combination of the ECC Code with other software or + * devices where such combination causes the infringement. + * + * The software is originally written by Sheueling Chang Shantz and + * Douglas Stebila of Sun Microsystems Laboratories. + * + */ + +/* NOTE: This file is licensed pursuant to the OpenSSL license below + * and may be modified; but after modifications, the above covenant + * may no longer apply! In such cases, the corresponding paragraph + * ["In addition, Sun covenants ... causes the infringement."] and + * this note can be edited out; but please keep the Sun copyright + * notice and attribution. */ + +/* ==================================================================== + * Copyright (c) 1998-2002 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). + * + */ + +#include <assert.h> +#include <limits.h> +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +/* Maximum number of iterations before BN_GF2m_mod_solve_quad_arr should fail. */ +#define MAX_ITERATIONS 50 + +static const BN_ULONG SQR_tb[16] = + { 0, 1, 4, 5, 16, 17, 20, 21, + 64, 65, 68, 69, 80, 81, 84, 85 }; +/* Platform-specific macros to accelerate squaring. */ +#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) +#define SQR1(w) \ + SQR_tb[(w) >> 60 & 0xF] << 56 | SQR_tb[(w) >> 56 & 0xF] << 48 | \ + SQR_tb[(w) >> 52 & 0xF] << 40 | SQR_tb[(w) >> 48 & 0xF] << 32 | \ + SQR_tb[(w) >> 44 & 0xF] << 24 | SQR_tb[(w) >> 40 & 0xF] << 16 | \ + SQR_tb[(w) >> 36 & 0xF] << 8 | SQR_tb[(w) >> 32 & 0xF] +#define SQR0(w) \ + SQR_tb[(w) >> 28 & 0xF] << 56 | SQR_tb[(w) >> 24 & 0xF] << 48 | \ + SQR_tb[(w) >> 20 & 0xF] << 40 | SQR_tb[(w) >> 16 & 0xF] << 32 | \ + SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \ + SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF] +#endif +#ifdef THIRTY_TWO_BIT +#define SQR1(w) \ + SQR_tb[(w) >> 28 & 0xF] << 24 | SQR_tb[(w) >> 24 & 0xF] << 16 | \ + SQR_tb[(w) >> 20 & 0xF] << 8 | SQR_tb[(w) >> 16 & 0xF] +#define SQR0(w) \ + SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \ + SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF] +#endif +#ifdef SIXTEEN_BIT +#define SQR1(w) \ + SQR_tb[(w) >> 12 & 0xF] << 8 | SQR_tb[(w) >> 8 & 0xF] +#define SQR0(w) \ + SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF] +#endif +#ifdef EIGHT_BIT +#define SQR1(w) \ + SQR_tb[(w) >> 4 & 0xF] +#define SQR0(w) \ + SQR_tb[(w) & 15] +#endif + +/* Product of two polynomials a, b each with degree < BN_BITS2 - 1, + * result is a polynomial r with degree < 2 * BN_BITS - 1 + * The caller MUST ensure that the variables have the right amount + * of space allocated. + */ +#ifdef EIGHT_BIT +static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b) + { + register BN_ULONG h, l, s; + BN_ULONG tab[4], top1b = a >> 7; + register BN_ULONG a1, a2; + + a1 = a & (0x7F); a2 = a1 << 1; + + tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2; + + s = tab[b & 0x3]; l = s; + s = tab[b >> 2 & 0x3]; l ^= s << 2; h = s >> 6; + s = tab[b >> 4 & 0x3]; l ^= s << 4; h ^= s >> 4; + s = tab[b >> 6 ]; l ^= s << 6; h ^= s >> 2; + + /* compensate for the top bit of a */ + + if (top1b & 01) { l ^= b << 7; h ^= b >> 1; } + + *r1 = h; *r0 = l; + } +#endif +#ifdef SIXTEEN_BIT +static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b) + { + register BN_ULONG h, l, s; + BN_ULONG tab[4], top1b = a >> 15; + register BN_ULONG a1, a2; + + a1 = a & (0x7FFF); a2 = a1 << 1; + + tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2; + + s = tab[b & 0x3]; l = s; + s = tab[b >> 2 & 0x3]; l ^= s << 2; h = s >> 14; + s = tab[b >> 4 & 0x3]; l ^= s << 4; h ^= s >> 12; + s = tab[b >> 6 & 0x3]; l ^= s << 6; h ^= s >> 10; + s = tab[b >> 8 & 0x3]; l ^= s << 8; h ^= s >> 8; + s = tab[b >>10 & 0x3]; l ^= s << 10; h ^= s >> 6; + s = tab[b >>12 & 0x3]; l ^= s << 12; h ^= s >> 4; + s = tab[b >>14 ]; l ^= s << 14; h ^= s >> 2; + + /* compensate for the top bit of a */ + + if (top1b & 01) { l ^= b << 15; h ^= b >> 1; } + + *r1 = h; *r0 = l; + } +#endif +#ifdef THIRTY_TWO_BIT +static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b) + { + register BN_ULONG h, l, s; + BN_ULONG tab[8], top2b = a >> 30; + register BN_ULONG a1, a2, a4; + + a1 = a & (0x3FFFFFFF); a2 = a1 << 1; a4 = a2 << 1; + + tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2; + tab[4] = a4; tab[5] = a1^a4; tab[6] = a2^a4; tab[7] = a1^a2^a4; + + s = tab[b & 0x7]; l = s; + s = tab[b >> 3 & 0x7]; l ^= s << 3; h = s >> 29; + s = tab[b >> 6 & 0x7]; l ^= s << 6; h ^= s >> 26; + s = tab[b >> 9 & 0x7]; l ^= s << 9; h ^= s >> 23; + s = tab[b >> 12 & 0x7]; l ^= s << 12; h ^= s >> 20; + s = tab[b >> 15 & 0x7]; l ^= s << 15; h ^= s >> 17; + s = tab[b >> 18 & 0x7]; l ^= s << 18; h ^= s >> 14; + s = tab[b >> 21 & 0x7]; l ^= s << 21; h ^= s >> 11; + s = tab[b >> 24 & 0x7]; l ^= s << 24; h ^= s >> 8; + s = tab[b >> 27 & 0x7]; l ^= s << 27; h ^= s >> 5; + s = tab[b >> 30 ]; l ^= s << 30; h ^= s >> 2; + + /* compensate for the top two bits of a */ + + if (top2b & 01) { l ^= b << 30; h ^= b >> 2; } + if (top2b & 02) { l ^= b << 31; h ^= b >> 1; } + + *r1 = h; *r0 = l; + } +#endif +#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) +static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b) + { + register BN_ULONG h, l, s; + BN_ULONG tab[16], top3b = a >> 61; + register BN_ULONG a1, a2, a4, a8; + + a1 = a & (0x1FFFFFFFFFFFFFFFULL); a2 = a1 << 1; a4 = a2 << 1; a8 = a4 << 1; + + tab[ 0] = 0; tab[ 1] = a1; tab[ 2] = a2; tab[ 3] = a1^a2; + tab[ 4] = a4; tab[ 5] = a1^a4; tab[ 6] = a2^a4; tab[ 7] = a1^a2^a4; + tab[ 8] = a8; tab[ 9] = a1^a8; tab[10] = a2^a8; tab[11] = a1^a2^a8; + tab[12] = a4^a8; tab[13] = a1^a4^a8; tab[14] = a2^a4^a8; tab[15] = a1^a2^a4^a8; + + s = tab[b & 0xF]; l = s; + s = tab[b >> 4 & 0xF]; l ^= s << 4; h = s >> 60; + s = tab[b >> 8 & 0xF]; l ^= s << 8; h ^= s >> 56; + s = tab[b >> 12 & 0xF]; l ^= s << 12; h ^= s >> 52; + s = tab[b >> 16 & 0xF]; l ^= s << 16; h ^= s >> 48; + s = tab[b >> 20 & 0xF]; l ^= s << 20; h ^= s >> 44; + s = tab[b >> 24 & 0xF]; l ^= s << 24; h ^= s >> 40; + s = tab[b >> 28 & 0xF]; l ^= s << 28; h ^= s >> 36; + s = tab[b >> 32 & 0xF]; l ^= s << 32; h ^= s >> 32; + s = tab[b >> 36 & 0xF]; l ^= s << 36; h ^= s >> 28; + s = tab[b >> 40 & 0xF]; l ^= s << 40; h ^= s >> 24; + s = tab[b >> 44 & 0xF]; l ^= s << 44; h ^= s >> 20; + s = tab[b >> 48 & 0xF]; l ^= s << 48; h ^= s >> 16; + s = tab[b >> 52 & 0xF]; l ^= s << 52; h ^= s >> 12; + s = tab[b >> 56 & 0xF]; l ^= s << 56; h ^= s >> 8; + s = tab[b >> 60 ]; l ^= s << 60; h ^= s >> 4; + + /* compensate for the top three bits of a */ + + if (top3b & 01) { l ^= b << 61; h ^= b >> 3; } + if (top3b & 02) { l ^= b << 62; h ^= b >> 2; } + if (top3b & 04) { l ^= b << 63; h ^= b >> 1; } + + *r1 = h; *r0 = l; + } +#endif + +/* Product of two polynomials a, b each with degree < 2 * BN_BITS2 - 1, + * result is a polynomial r with degree < 4 * BN_BITS2 - 1 + * The caller MUST ensure that the variables have the right amount + * of space allocated. + */ +static void bn_GF2m_mul_2x2(BN_ULONG *r, const BN_ULONG a1, const BN_ULONG a0, const BN_ULONG b1, const BN_ULONG b0) + { + BN_ULONG m1, m0; + /* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */ + bn_GF2m_mul_1x1(r+3, r+2, a1, b1); + bn_GF2m_mul_1x1(r+1, r, a0, b0); + bn_GF2m_mul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1); + /* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */ + r[2] ^= m1 ^ r[1] ^ r[3]; /* h0 ^= m1 ^ l1 ^ h1; */ + r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0; /* l1 ^= l0 ^ h0 ^ m0; */ + } + + +/* Add polynomials a and b and store result in r; r could be a or b, a and b + * could be equal; r is the bitwise XOR of a and b. + */ +int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b) + { + int i; + const BIGNUM *at, *bt; + + bn_check_top(a); + bn_check_top(b); + + if (a->top < b->top) { at = b; bt = a; } + else { at = a; bt = b; } + + if(bn_wexpand(r, at->top) == NULL) + return 0; + + for (i = 0; i < bt->top; i++) + { + r->d[i] = at->d[i] ^ bt->d[i]; + } + for (; i < at->top; i++) + { + r->d[i] = at->d[i]; + } + + r->top = at->top; + bn_correct_top(r); + + return 1; + } + + +/* Some functions allow for representation of the irreducible polynomials + * as an 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. + */ + + +/* Performs modular reduction of a and store result in r. r could be a. */ +int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]) + { + int j, k; + int n, dN, d0, d1; + BN_ULONG zz, *z; + + bn_check_top(a); + + if (!p[0]) + { + /* reduction mod 1 => return 0 */ + BN_zero(r); + return 1; + } + + /* Since the algorithm does reduction in the r value, if a != r, copy + * the contents of a into r so we can do reduction in r. + */ + if (a != r) + { + if (!bn_wexpand(r, a->top)) return 0; + for (j = 0; j < a->top; j++) + { + r->d[j] = a->d[j]; + } + r->top = a->top; + } + z = r->d; + + /* start reduction */ + dN = p[0] / BN_BITS2; + for (j = r->top - 1; j > dN;) + { + zz = z[j]; + if (z[j] == 0) { j--; continue; } + z[j] = 0; + + for (k = 1; p[k] != 0; k++) + { + /* reducing component t^p[k] */ + n = p[0] - p[k]; + d0 = n % BN_BITS2; d1 = BN_BITS2 - d0; + n /= BN_BITS2; + z[j-n] ^= (zz>>d0); + if (d0) z[j-n-1] ^= (zz<<d1); + } + + /* reducing component t^0 */ + n = dN; + d0 = p[0] % BN_BITS2; + d1 = BN_BITS2 - d0; + z[j-n] ^= (zz >> d0); + if (d0) z[j-n-1] ^= (zz << d1); + } + + /* final round of reduction */ + while (j == dN) + { + + d0 = p[0] % BN_BITS2; + zz = z[dN] >> d0; + if (zz == 0) break; + d1 = BN_BITS2 - d0; + + /* clear up the top d1 bits */ + if (d0) + z[dN] = (z[dN] << d1) >> d1; + else + z[dN] = 0; + z[0] ^= zz; /* reduction t^0 component */ + + for (k = 1; p[k] != 0; k++) + { + BN_ULONG tmp_ulong; + + /* reducing component t^p[k]*/ + n = p[k] / BN_BITS2; + d0 = p[k] % BN_BITS2; + d1 = BN_BITS2 - d0; + z[n] ^= (zz << d0); + tmp_ulong = zz >> d1; + if (d0 && tmp_ulong) + z[n+1] ^= tmp_ulong; + } + + + } + + bn_correct_top(r); + return 1; + } + +/* Performs modular reduction of a by p and store result in r. r could be a. + * + * This function calls down to the BN_GF2m_mod_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_arr function. + */ +int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + bn_check_top(a); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_arr(r, a, arr); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + + +/* Compute the product of two polynomials a and b, reduce modulo p, and store + * the result in r. r could be a or b; a could be b. + */ +int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const unsigned int p[], BN_CTX *ctx) + { + int zlen, i, j, k, ret = 0; + BIGNUM *s; + BN_ULONG x1, x0, y1, y0, zz[4]; + + bn_check_top(a); + bn_check_top(b); + + if (a == b) + { + return BN_GF2m_mod_sqr_arr(r, a, p, ctx); + } + + BN_CTX_start(ctx); + if ((s = BN_CTX_get(ctx)) == NULL) goto err; + + zlen = a->top + b->top + 4; + if (!bn_wexpand(s, zlen)) goto err; + s->top = zlen; + + for (i = 0; i < zlen; i++) s->d[i] = 0; + + for (j = 0; j < b->top; j += 2) + { + y0 = b->d[j]; + y1 = ((j+1) == b->top) ? 0 : b->d[j+1]; + for (i = 0; i < a->top; i += 2) + { + x0 = a->d[i]; + x1 = ((i+1) == a->top) ? 0 : a->d[i+1]; + bn_GF2m_mul_2x2(zz, x1, x0, y1, y0); + for (k = 0; k < 4; k++) s->d[i+j+k] ^= zz[k]; + } + } + + bn_correct_top(s); + if (BN_GF2m_mod_arr(r, s, p)) + ret = 1; + bn_check_top(r); + +err: + BN_CTX_end(ctx); + return ret; + } + +/* Compute the product of two polynomials a and b, reduce modulo p, and store + * the result in r. r could be a or b; a could equal b. + * + * This function calls down to the BN_GF2m_mod_mul_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_mul_arr function. + */ +int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + bn_check_top(a); + bn_check_top(b); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD_MUL,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + + +/* Square a, reduce the result mod p, and store it in a. r could be a. */ +int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], BN_CTX *ctx) + { + int i, ret = 0; + BIGNUM *s; + + bn_check_top(a); + BN_CTX_start(ctx); + if ((s = BN_CTX_get(ctx)) == NULL) return 0; + if (!bn_wexpand(s, 2 * a->top)) goto err; + + for (i = a->top - 1; i >= 0; i--) + { + s->d[2*i+1] = SQR1(a->d[i]); + s->d[2*i ] = SQR0(a->d[i]); + } + + s->top = 2 * a->top; + bn_correct_top(s); + if (!BN_GF2m_mod_arr(r, s, p)) goto err; + bn_check_top(r); + ret = 1; +err: + BN_CTX_end(ctx); + return ret; + } + +/* Square a, reduce the result mod p, and store it in a. r could be a. + * + * This function calls down to the BN_GF2m_mod_sqr_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_sqr_arr function. + */ +int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + + bn_check_top(a); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD_SQR,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + + +/* Invert a, reduce modulo p, and store the result in r. r could be a. + * Uses Modified Almost Inverse Algorithm (Algorithm 10) from + * Hankerson, D., Hernandez, J.L., and Menezes, A. "Software Implementation + * of Elliptic Curve Cryptography Over Binary Fields". + */ +int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) + { + BIGNUM *b, *c, *u, *v, *tmp; + int ret = 0; + + bn_check_top(a); + bn_check_top(p); + + BN_CTX_start(ctx); + + b = BN_CTX_get(ctx); + c = BN_CTX_get(ctx); + u = BN_CTX_get(ctx); + v = BN_CTX_get(ctx); + if (v == NULL) goto err; + + if (!BN_one(b)) goto err; + if (!BN_GF2m_mod(u, a, p)) goto err; + if (!BN_copy(v, p)) goto err; + + if (BN_is_zero(u)) goto err; + + while (1) + { + while (!BN_is_odd(u)) + { + if (BN_is_zero(u)) goto err; + if (!BN_rshift1(u, u)) goto err; + if (BN_is_odd(b)) + { + if (!BN_GF2m_add(b, b, p)) goto err; + } + if (!BN_rshift1(b, b)) goto err; + } + + if (BN_abs_is_word(u, 1)) break; + + if (BN_num_bits(u) < BN_num_bits(v)) + { + tmp = u; u = v; v = tmp; + tmp = b; b = c; c = tmp; + } + + if (!BN_GF2m_add(u, u, v)) goto err; + if (!BN_GF2m_add(b, b, c)) goto err; + } + + + if (!BN_copy(r, b)) goto err; + bn_check_top(r); + ret = 1; + +err: + BN_CTX_end(ctx); + return ret; + } + +/* Invert xx, reduce modulo p, and store the result in r. r could be xx. + * + * This function calls down to the BN_GF2m_mod_inv implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_inv function. + */ +int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const unsigned int p[], BN_CTX *ctx) + { + BIGNUM *field; + int ret = 0; + + bn_check_top(xx); + BN_CTX_start(ctx); + if ((field = BN_CTX_get(ctx)) == NULL) goto err; + if (!BN_GF2m_arr2poly(p, field)) goto err; + + ret = BN_GF2m_mod_inv(r, xx, field, ctx); + bn_check_top(r); + +err: + BN_CTX_end(ctx); + return ret; + } + + +#ifndef OPENSSL_SUN_GF2M_DIV +/* Divide y by x, reduce modulo p, and store the result in r. r could be x + * or y, x could equal y. + */ +int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx) + { + BIGNUM *xinv = NULL; + int ret = 0; + + bn_check_top(y); + bn_check_top(x); + bn_check_top(p); + + BN_CTX_start(ctx); + xinv = BN_CTX_get(ctx); + if (xinv == NULL) goto err; + + if (!BN_GF2m_mod_inv(xinv, x, p, ctx)) goto err; + if (!BN_GF2m_mod_mul(r, y, xinv, p, ctx)) goto err; + bn_check_top(r); + ret = 1; + +err: + BN_CTX_end(ctx); + return ret; + } +#else +/* Divide y by x, reduce modulo p, and store the result in r. r could be x + * or y, x could equal y. + * Uses algorithm Modular_Division_GF(2^m) from + * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to + * the Great Divide". + */ +int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx) + { + BIGNUM *a, *b, *u, *v; + int ret = 0; + + bn_check_top(y); + bn_check_top(x); + bn_check_top(p); + + BN_CTX_start(ctx); + + a = BN_CTX_get(ctx); + b = BN_CTX_get(ctx); + u = BN_CTX_get(ctx); + v = BN_CTX_get(ctx); + if (v == NULL) goto err; + + /* reduce x and y mod p */ + if (!BN_GF2m_mod(u, y, p)) goto err; + if (!BN_GF2m_mod(a, x, p)) goto err; + if (!BN_copy(b, p)) goto err; + + while (!BN_is_odd(a)) + { + if (!BN_rshift1(a, a)) goto err; + if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err; + if (!BN_rshift1(u, u)) goto err; + } + + do + { + if (BN_GF2m_cmp(b, a) > 0) + { + if (!BN_GF2m_add(b, b, a)) goto err; + if (!BN_GF2m_add(v, v, u)) goto err; + do + { + if (!BN_rshift1(b, b)) goto err; + if (BN_is_odd(v)) if (!BN_GF2m_add(v, v, p)) goto err; + if (!BN_rshift1(v, v)) goto err; + } while (!BN_is_odd(b)); + } + else if (BN_abs_is_word(a, 1)) + break; + else + { + if (!BN_GF2m_add(a, a, b)) goto err; + if (!BN_GF2m_add(u, u, v)) goto err; + do + { + if (!BN_rshift1(a, a)) goto err; + if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err; + if (!BN_rshift1(u, u)) goto err; + } while (!BN_is_odd(a)); + } + } while (1); + + if (!BN_copy(r, u)) goto err; + bn_check_top(r); + ret = 1; + +err: + BN_CTX_end(ctx); + return ret; + } +#endif + +/* Divide yy by xx, reduce modulo p, and store the result in r. r could be xx + * or yy, xx could equal yy. + * + * This function calls down to the BN_GF2m_mod_div implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_div function. + */ +int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx, const unsigned int p[], BN_CTX *ctx) + { + BIGNUM *field; + int ret = 0; + + bn_check_top(yy); + bn_check_top(xx); + + BN_CTX_start(ctx); + if ((field = BN_CTX_get(ctx)) == NULL) goto err; + if (!BN_GF2m_arr2poly(p, field)) goto err; + + ret = BN_GF2m_mod_div(r, yy, xx, field, ctx); + bn_check_top(r); + +err: + BN_CTX_end(ctx); + return ret; + } + + +/* Compute the bth power of a, reduce modulo p, and store + * the result in r. r could be a. + * Uses simple square-and-multiply algorithm A.5.1 from IEEE P1363. + */ +int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const unsigned int p[], BN_CTX *ctx) + { + int ret = 0, i, n; + BIGNUM *u; + + bn_check_top(a); + bn_check_top(b); + + if (BN_is_zero(b)) + return(BN_one(r)); + + if (BN_abs_is_word(b, 1)) + return (BN_copy(r, a) != NULL); + + BN_CTX_start(ctx); + if ((u = BN_CTX_get(ctx)) == NULL) goto err; + + if (!BN_GF2m_mod_arr(u, a, p)) goto err; + + n = BN_num_bits(b) - 1; + for (i = n - 1; i >= 0; i--) + { + if (!BN_GF2m_mod_sqr_arr(u, u, p, ctx)) goto err; + if (BN_is_bit_set(b, i)) + { + if (!BN_GF2m_mod_mul_arr(u, u, a, p, ctx)) goto err; + } + } + if (!BN_copy(r, u)) goto err; + bn_check_top(r); + ret = 1; +err: + BN_CTX_end(ctx); + return ret; + } + +/* Compute the bth power of a, reduce modulo p, and store + * the result in r. r could be a. + * + * This function calls down to the BN_GF2m_mod_exp_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_exp_arr function. + */ +int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + bn_check_top(a); + bn_check_top(b); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD_EXP,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + +/* Compute the square root of a, reduce modulo p, and store + * the result in r. r could be a. + * Uses exponentiation as in algorithm A.4.1 from IEEE P1363. + */ +int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], BN_CTX *ctx) + { + int ret = 0; + BIGNUM *u; + + bn_check_top(a); + + if (!p[0]) + { + /* reduction mod 1 => return 0 */ + BN_zero(r); + return 1; + } + + BN_CTX_start(ctx); + if ((u = BN_CTX_get(ctx)) == NULL) goto err; + + if (!BN_set_bit(u, p[0] - 1)) goto err; + ret = BN_GF2m_mod_exp_arr(r, a, u, p, ctx); + bn_check_top(r); + +err: + BN_CTX_end(ctx); + return ret; + } + +/* Compute the square root of a, reduce modulo p, and store + * the result in r. r could be a. + * + * This function calls down to the BN_GF2m_mod_sqrt_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_sqrt_arr function. + */ +int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + bn_check_top(a); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD_SQRT,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + +/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0. + * Uses algorithms A.4.7 and A.4.6 from IEEE P1363. + */ +int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_, const unsigned int p[], BN_CTX *ctx) + { + int ret = 0, count = 0; + unsigned int j; + BIGNUM *a, *z, *rho, *w, *w2, *tmp; + + bn_check_top(a_); + + if (!p[0]) + { + /* reduction mod 1 => return 0 */ + BN_zero(r); + return 1; + } + + BN_CTX_start(ctx); + a = BN_CTX_get(ctx); + z = BN_CTX_get(ctx); + w = BN_CTX_get(ctx); + if (w == NULL) goto err; + + if (!BN_GF2m_mod_arr(a, a_, p)) goto err; + + if (BN_is_zero(a)) + { + BN_zero(r); + ret = 1; + goto err; + } + + if (p[0] & 0x1) /* m is odd */ + { + /* compute half-trace of a */ + if (!BN_copy(z, a)) goto err; + for (j = 1; j <= (p[0] - 1) / 2; j++) + { + if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err; + if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err; + if (!BN_GF2m_add(z, z, a)) goto err; + } + + } + else /* m is even */ + { + rho = BN_CTX_get(ctx); + w2 = BN_CTX_get(ctx); + tmp = BN_CTX_get(ctx); + if (tmp == NULL) goto err; + do + { + if (!BN_rand(rho, p[0], 0, 0)) goto err; + if (!BN_GF2m_mod_arr(rho, rho, p)) goto err; + BN_zero(z); + if (!BN_copy(w, rho)) goto err; + for (j = 1; j <= p[0] - 1; j++) + { + if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err; + if (!BN_GF2m_mod_sqr_arr(w2, w, p, ctx)) goto err; + if (!BN_GF2m_mod_mul_arr(tmp, w2, a, p, ctx)) goto err; + if (!BN_GF2m_add(z, z, tmp)) goto err; + if (!BN_GF2m_add(w, w2, rho)) goto err; + } + count++; + } while (BN_is_zero(w) && (count < MAX_ITERATIONS)); + if (BN_is_zero(w)) + { + BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR,BN_R_TOO_MANY_ITERATIONS); + goto err; + } + } + + if (!BN_GF2m_mod_sqr_arr(w, z, p, ctx)) goto err; + if (!BN_GF2m_add(w, z, w)) goto err; + if (BN_GF2m_cmp(w, a)) + { + BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_NO_SOLUTION); + goto err; + } + + if (!BN_copy(r, z)) goto err; + bn_check_top(r); + + ret = 1; + +err: + BN_CTX_end(ctx); + return ret; + } + +/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0. + * + * This function calls down to the BN_GF2m_mod_solve_quad_arr implementation; this wrapper + * function is only provided for convenience; for best performance, use the + * BN_GF2m_mod_solve_quad_arr function. + */ +int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) + { + int ret = 0; + const int max = BN_num_bits(p); + unsigned int *arr=NULL; + bn_check_top(a); + bn_check_top(p); + if ((arr = (unsigned int *)OPENSSL_malloc(sizeof(unsigned int) * + max)) == NULL) goto err; + ret = BN_GF2m_poly2arr(p, arr, max); + if (!ret || ret > max) + { + BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD,BN_R_INVALID_LENGTH); + goto err; + } + ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx); + bn_check_top(r); +err: + if (arr) OPENSSL_free(arr); + return ret; + } + +/* Convert the bit-string representation of a polynomial + * ( \sum_{i=0}^n a_i * x^i , where a_0 is *not* zero) into an array + * of integers corresponding to the bits with non-zero coefficient. + * Up to max elements of the array will be filled. Return value is total + * number of coefficients that would be extracted if array was large enough. + */ +int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max) + { + int i, j, k = 0; + BN_ULONG mask; + + if (BN_is_zero(a) || !BN_is_bit_set(a, 0)) + /* a_0 == 0 => return error (the unsigned int array + * must be terminated by 0) + */ + return 0; + + for (i = a->top - 1; i >= 0; i--) + { + if (!a->d[i]) + /* skip word if a->d[i] == 0 */ + continue; + mask = BN_TBIT; + for (j = BN_BITS2 - 1; j >= 0; j--) + { + if (a->d[i] & mask) + { + if (k < max) p[k] = BN_BITS2 * i + j; + k++; + } + mask >>= 1; + } + } + + return k; + } + +/* Convert the coefficient array representation of a polynomial to a + * bit-string. The array must be terminated by 0. + */ +int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a) + { + int i; + + bn_check_top(a); + BN_zero(a); + for (i = 0; p[i] != 0; i++) + { + if (BN_set_bit(a, p[i]) == 0) + return 0; + } + BN_set_bit(a, 0); + bn_check_top(a); + + return 1; + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_kron.c b/Cryptlib/OpenSSL/crypto/bn/bn_kron.c new file mode 100755 index 00000000..740359b7 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_kron.c @@ -0,0 +1,184 @@ +/* crypto/bn/bn_kron.c */ +/* ==================================================================== + * Copyright (c) 1998-2000 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). + * + */ + +#include "cryptlib.h" +#include "bn_lcl.h" + +/* least significant word */ +#define BN_lsw(n) (((n)->top == 0) ? (BN_ULONG) 0 : (n)->d[0]) + +/* Returns -2 for errors because both -1 and 0 are valid results. */ +int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + int i; + int ret = -2; /* avoid 'uninitialized' warning */ + int err = 0; + BIGNUM *A, *B, *tmp; + /* In 'tab', only odd-indexed entries are relevant: + * For any odd BIGNUM n, + * tab[BN_lsw(n) & 7] + * is $(-1)^{(n^2-1)/8}$ (using TeX notation). + * Note that the sign of n does not matter. + */ + static const int tab[8] = {0, 1, 0, -1, 0, -1, 0, 1}; + + bn_check_top(a); + bn_check_top(b); + + BN_CTX_start(ctx); + A = BN_CTX_get(ctx); + B = BN_CTX_get(ctx); + if (B == NULL) goto end; + + err = !BN_copy(A, a); + if (err) goto end; + err = !BN_copy(B, b); + if (err) goto end; + + /* + * Kronecker symbol, imlemented according to Henri Cohen, + * "A Course in Computational Algebraic Number Theory" + * (algorithm 1.4.10). + */ + + /* Cohen's step 1: */ + + if (BN_is_zero(B)) + { + ret = BN_abs_is_word(A, 1); + goto end; + } + + /* Cohen's step 2: */ + + if (!BN_is_odd(A) && !BN_is_odd(B)) + { + ret = 0; + goto end; + } + + /* now B is non-zero */ + i = 0; + while (!BN_is_bit_set(B, i)) + i++; + err = !BN_rshift(B, B, i); + if (err) goto end; + if (i & 1) + { + /* i is odd */ + /* (thus B was even, thus A must be odd!) */ + + /* set 'ret' to $(-1)^{(A^2-1)/8}$ */ + ret = tab[BN_lsw(A) & 7]; + } + else + { + /* i is even */ + ret = 1; + } + + if (B->neg) + { + B->neg = 0; + if (A->neg) + ret = -ret; + } + + /* now B is positive and odd, so what remains to be done is + * to compute the Jacobi symbol (A/B) and multiply it by 'ret' */ + + while (1) + { + /* Cohen's step 3: */ + + /* B is positive and odd */ + + if (BN_is_zero(A)) + { + ret = BN_is_one(B) ? ret : 0; + goto end; + } + + /* now A is non-zero */ + i = 0; + while (!BN_is_bit_set(A, i)) + i++; + err = !BN_rshift(A, A, i); + if (err) goto end; + if (i & 1) + { + /* i is odd */ + /* multiply 'ret' by $(-1)^{(B^2-1)/8}$ */ + ret = ret * tab[BN_lsw(B) & 7]; + } + + /* Cohen's step 4: */ + /* multiply 'ret' by $(-1)^{(A-1)(B-1)/4}$ */ + if ((A->neg ? ~BN_lsw(A) : BN_lsw(A)) & BN_lsw(B) & 2) + ret = -ret; + + /* (A, B) := (B mod |A|, |A|) */ + err = !BN_nnmod(B, B, A, ctx); + if (err) goto end; + tmp = A; A = B; B = tmp; + tmp->neg = 0; + } +end: + BN_CTX_end(ctx); + if (err) + return -2; + else + return ret; + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_lcl.h b/Cryptlib/OpenSSL/crypto/bn/bn_lcl.h new file mode 100644 index 00000000..27ac4397 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_lcl.h @@ -0,0 +1,490 @@ +/* crypto/bn/bn_lcl.h */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2000 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). + * + */ + +#ifndef HEADER_BN_LCL_H +#define HEADER_BN_LCL_H + +#include <openssl/bn.h> + +#ifdef __cplusplus +extern "C" { +#endif + + +/* + * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions + * + * + * For window size 'w' (w >= 2) and a random 'b' bits exponent, + * the number of multiplications is a constant plus on average + * + * 2^(w-1) + (b-w)/(w+1); + * + * here 2^(w-1) is for precomputing the table (we actually need + * entries only for windows that have the lowest bit set), and + * (b-w)/(w+1) is an approximation for the expected number of + * w-bit windows, not counting the first one. + * + * Thus we should use + * + * w >= 6 if b > 671 + * w = 5 if 671 > b > 239 + * w = 4 if 239 > b > 79 + * w = 3 if 79 > b > 23 + * w <= 2 if 23 > b + * + * (with draws in between). Very small exponents are often selected + * with low Hamming weight, so we use w = 1 for b <= 23. + */ +#if 1 +#define BN_window_bits_for_exponent_size(b) \ + ((b) > 671 ? 6 : \ + (b) > 239 ? 5 : \ + (b) > 79 ? 4 : \ + (b) > 23 ? 3 : 1) +#else +/* Old SSLeay/OpenSSL table. + * Maximum window size was 5, so this table differs for b==1024; + * but it coincides for other interesting values (b==160, b==512). + */ +#define BN_window_bits_for_exponent_size(b) \ + ((b) > 255 ? 5 : \ + (b) > 127 ? 4 : \ + (b) > 17 ? 3 : 1) +#endif + + + +/* BN_mod_exp_mont_conttime is based on the assumption that the + * L1 data cache line width of the target processor is at least + * the following value. + */ +#define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 ) +#define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1) + +/* Window sizes optimized for fixed window size modular exponentiation + * algorithm (BN_mod_exp_mont_consttime). + * + * To achieve the security goals of BN_mode_exp_mont_consttime, the + * maximum size of the window must not exceed + * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH). + * + * Window size thresholds are defined for cache line sizes of 32 and 64, + * cache line sizes where log_2(32)=5 and log_2(64)=6 respectively. A + * window size of 7 should only be used on processors that have a 128 + * byte or greater cache line size. + */ +#if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64 + +# define BN_window_bits_for_ctime_exponent_size(b) \ + ((b) > 937 ? 6 : \ + (b) > 306 ? 5 : \ + (b) > 89 ? 4 : \ + (b) > 22 ? 3 : 1) +# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6) + +#elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32 + +# define BN_window_bits_for_ctime_exponent_size(b) \ + ((b) > 306 ? 5 : \ + (b) > 89 ? 4 : \ + (b) > 22 ? 3 : 1) +# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5) + +#endif + + +/* Pentium pro 16,16,16,32,64 */ +/* Alpha 16,16,16,16.64 */ +#define BN_MULL_SIZE_NORMAL (16) /* 32 */ +#define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */ +#define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */ +#define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */ +#define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */ + +#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC) +/* + * BN_UMULT_HIGH section. + * + * No, I'm not trying to overwhelm you when stating that the + * product of N-bit numbers is 2*N bits wide:-) No, I don't expect + * you to be impressed when I say that if the compiler doesn't + * support 2*N integer type, then you have to replace every N*N + * multiplication with 4 (N/2)*(N/2) accompanied by some shifts + * and additions which unavoidably results in severe performance + * penalties. Of course provided that the hardware is capable of + * producing 2*N result... That's when you normally start + * considering assembler implementation. However! It should be + * pointed out that some CPUs (most notably Alpha, PowerPC and + * upcoming IA-64 family:-) provide *separate* instruction + * calculating the upper half of the product placing the result + * into a general purpose register. Now *if* the compiler supports + * inline assembler, then it's not impossible to implement the + * "bignum" routines (and have the compiler optimize 'em) + * exhibiting "native" performance in C. That's what BN_UMULT_HIGH + * macro is about:-) + * + * <appro@fy.chalmers.se> + */ +# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT)) +# if defined(__DECC) +# include <c_asm.h> +# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b)) +# elif defined(__GNUC__) +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("umulh %1,%2,%0" \ + : "=r"(ret) \ + : "r"(a), "r"(b)); \ + ret; }) +# endif /* compiler */ +# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG) +# if defined(__GNUC__) +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret; \ + asm ("mulhdu %0,%1,%2" \ + : "=r"(ret) \ + : "r"(a), "r"(b)); \ + ret; }) +# endif /* compiler */ +# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG) +# if defined(__GNUC__) +# define BN_UMULT_HIGH(a,b) ({ \ + register BN_ULONG ret,discard; \ + asm ("mulq %3" \ + : "=a"(discard),"=d"(ret) \ + : "a"(a), "g"(b) \ + : "cc"); \ + ret; }) +# define BN_UMULT_LOHI(low,high,a,b) \ + asm ("mulq %3" \ + : "=a"(low),"=d"(high) \ + : "a"(a),"g"(b) \ + : "cc"); +# endif +# elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT) +# if defined(_MSC_VER) && _MSC_VER>=1400 + unsigned __int64 __umulh (unsigned __int64 a,unsigned __int64 b); + unsigned __int64 _umul128 (unsigned __int64 a,unsigned __int64 b, + unsigned __int64 *h); +# pragma intrinsic(__umulh,_umul128) +# define BN_UMULT_HIGH(a,b) __umulh((a),(b)) +# define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high))) +# endif +# endif /* cpu */ +#endif /* OPENSSL_NO_ASM */ + +/************************************************************* + * Using the long long type + */ +#define Lw(t) (((BN_ULONG)(t))&BN_MASK2) +#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) + +#ifdef BN_DEBUG_RAND +#define bn_clear_top2max(a) \ + { \ + int ind = (a)->dmax - (a)->top; \ + BN_ULONG *ftl = &(a)->d[(a)->top-1]; \ + for (; ind != 0; ind--) \ + *(++ftl) = 0x0; \ + } +#else +#define bn_clear_top2max(a) +#endif + +#ifdef BN_LLONG +#define mul_add(r,a,w,c) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)w * (a) + (r) + (c); \ + (r)= Lw(t); \ + (c)= Hw(t); \ + } + +#define mul(r,a,w,c) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)w * (a) + (c); \ + (r)= Lw(t); \ + (c)= Hw(t); \ + } + +#define sqr(r0,r1,a) { \ + BN_ULLONG t; \ + t=(BN_ULLONG)(a)*(a); \ + (r0)=Lw(t); \ + (r1)=Hw(t); \ + } + +#elif defined(BN_UMULT_LOHI) +#define mul_add(r,a,w,c) { \ + BN_ULONG high,low,ret,tmp=(a); \ + ret = (r); \ + BN_UMULT_LOHI(low,high,w,tmp); \ + ret += (c); \ + (c) = (ret<(c))?1:0; \ + (c) += high; \ + ret += low; \ + (c) += (ret<low)?1:0; \ + (r) = ret; \ + } + +#define mul(r,a,w,c) { \ + BN_ULONG high,low,ret,ta=(a); \ + BN_UMULT_LOHI(low,high,w,ta); \ + ret = low + (c); \ + (c) = high; \ + (c) += (ret<low)?1:0; \ + (r) = ret; \ + } + +#define sqr(r0,r1,a) { \ + BN_ULONG tmp=(a); \ + BN_UMULT_LOHI(r0,r1,tmp,tmp); \ + } + +#elif defined(BN_UMULT_HIGH) +#define mul_add(r,a,w,c) { \ + BN_ULONG high,low,ret,tmp=(a); \ + ret = (r); \ + high= BN_UMULT_HIGH(w,tmp); \ + ret += (c); \ + low = (w) * tmp; \ + (c) = (ret<(c))?1:0; \ + (c) += high; \ + ret += low; \ + (c) += (ret<low)?1:0; \ + (r) = ret; \ + } + +#define mul(r,a,w,c) { \ + BN_ULONG high,low,ret,ta=(a); \ + low = (w) * ta; \ + high= BN_UMULT_HIGH(w,ta); \ + ret = low + (c); \ + (c) = high; \ + (c) += (ret<low)?1:0; \ + (r) = ret; \ + } + +#define sqr(r0,r1,a) { \ + BN_ULONG tmp=(a); \ + (r0) = tmp * tmp; \ + (r1) = BN_UMULT_HIGH(tmp,tmp); \ + } + +#else +/************************************************************* + * No long long type + */ + +#define LBITS(a) ((a)&BN_MASK2l) +#define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l) +#define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2) + +#define LLBITS(a) ((a)&BN_MASKl) +#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl) +#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2) + +#define mul64(l,h,bl,bh) \ + { \ + BN_ULONG m,m1,lt,ht; \ + \ + lt=l; \ + ht=h; \ + m =(bh)*(lt); \ + lt=(bl)*(lt); \ + m1=(bl)*(ht); \ + ht =(bh)*(ht); \ + m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \ + ht+=HBITS(m); \ + m1=L2HBITS(m); \ + lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \ + (l)=lt; \ + (h)=ht; \ + } + +#define sqr64(lo,ho,in) \ + { \ + BN_ULONG l,h,m; \ + \ + h=(in); \ + l=LBITS(h); \ + h=HBITS(h); \ + m =(l)*(h); \ + l*=l; \ + h*=h; \ + h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \ + m =(m&BN_MASK2l)<<(BN_BITS4+1); \ + l=(l+m)&BN_MASK2; if (l < m) h++; \ + (lo)=l; \ + (ho)=h; \ + } + +#define mul_add(r,a,bl,bh,c) { \ + BN_ULONG l,h; \ + \ + h= (a); \ + l=LBITS(h); \ + h=HBITS(h); \ + mul64(l,h,(bl),(bh)); \ + \ + /* non-multiply part */ \ + l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ + (c)=(r); \ + l=(l+(c))&BN_MASK2; if (l < (c)) h++; \ + (c)=h&BN_MASK2; \ + (r)=l; \ + } + +#define mul(r,a,bl,bh,c) { \ + BN_ULONG l,h; \ + \ + h= (a); \ + l=LBITS(h); \ + h=HBITS(h); \ + mul64(l,h,(bl),(bh)); \ + \ + /* non-multiply part */ \ + l+=(c); if ((l&BN_MASK2) < (c)) h++; \ + (c)=h&BN_MASK2; \ + (r)=l&BN_MASK2; \ + } +#endif /* !BN_LLONG */ + +void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb); +void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); +void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b); +void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp); +void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a); +void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a); +int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n); +int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl); +void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, + int dna,int dnb,BN_ULONG *t); +void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, + int n,int tna,int tnb,BN_ULONG *t); +void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t); +void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n); +void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2, + BN_ULONG *t); +void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2, + BN_ULONG *t); +BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl); +BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl); +int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_lib.c b/Cryptlib/OpenSSL/crypto/bn/bn_lib.c new file mode 100755 index 00000000..32a8fbaf --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_lib.c @@ -0,0 +1,826 @@ +/* crypto/bn/bn_lib.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#ifndef BN_DEBUG +# undef NDEBUG /* avoid conflicting definitions */ +# define NDEBUG +#endif + +#include <assert.h> +#include <limits.h> +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT; + +/* This stuff appears to be completely unused, so is deprecated */ +#ifndef OPENSSL_NO_DEPRECATED +/* For a 32 bit machine + * 2 - 4 == 128 + * 3 - 8 == 256 + * 4 - 16 == 512 + * 5 - 32 == 1024 + * 6 - 64 == 2048 + * 7 - 128 == 4096 + * 8 - 256 == 8192 + */ +static int bn_limit_bits=0; +static int bn_limit_num=8; /* (1<<bn_limit_bits) */ +static int bn_limit_bits_low=0; +static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */ +static int bn_limit_bits_high=0; +static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */ +static int bn_limit_bits_mont=0; +static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */ + +void BN_set_params(int mult, int high, int low, int mont) + { + if (mult >= 0) + { + if (mult > (int)(sizeof(int)*8)-1) + mult=sizeof(int)*8-1; + bn_limit_bits=mult; + bn_limit_num=1<<mult; + } + if (high >= 0) + { + if (high > (int)(sizeof(int)*8)-1) + high=sizeof(int)*8-1; + bn_limit_bits_high=high; + bn_limit_num_high=1<<high; + } + if (low >= 0) + { + if (low > (int)(sizeof(int)*8)-1) + low=sizeof(int)*8-1; + bn_limit_bits_low=low; + bn_limit_num_low=1<<low; + } + if (mont >= 0) + { + if (mont > (int)(sizeof(int)*8)-1) + mont=sizeof(int)*8-1; + bn_limit_bits_mont=mont; + bn_limit_num_mont=1<<mont; + } + } + +int BN_get_params(int which) + { + if (which == 0) return(bn_limit_bits); + else if (which == 1) return(bn_limit_bits_high); + else if (which == 2) return(bn_limit_bits_low); + else if (which == 3) return(bn_limit_bits_mont); + else return(0); + } +#endif + +const BIGNUM *BN_value_one(void) + { + static BN_ULONG data_one=1L; + static BIGNUM const_one={&data_one,1,1,0,BN_FLG_STATIC_DATA}; + + return(&const_one); + } + +int BN_num_bits_word(BN_ULONG l) + { + static const char bits[256]={ + 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4, + 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, + 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, + 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + }; + +#if defined(SIXTY_FOUR_BIT_LONG) + if (l & 0xffffffff00000000L) + { + if (l & 0xffff000000000000L) + { + if (l & 0xff00000000000000L) + { + return(bits[(int)(l>>56)]+56); + } + else return(bits[(int)(l>>48)]+48); + } + else + { + if (l & 0x0000ff0000000000L) + { + return(bits[(int)(l>>40)]+40); + } + else return(bits[(int)(l>>32)]+32); + } + } + else +#else +#ifdef SIXTY_FOUR_BIT + if (l & 0xffffffff00000000LL) + { + if (l & 0xffff000000000000LL) + { + if (l & 0xff00000000000000LL) + { + return(bits[(int)(l>>56)]+56); + } + else return(bits[(int)(l>>48)]+48); + } + else + { + if (l & 0x0000ff0000000000LL) + { + return(bits[(int)(l>>40)]+40); + } + else return(bits[(int)(l>>32)]+32); + } + } + else +#endif +#endif + { +#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) + if (l & 0xffff0000L) + { + if (l & 0xff000000L) + return(bits[(int)(l>>24L)]+24); + else return(bits[(int)(l>>16L)]+16); + } + else +#endif + { +#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) + if (l & 0xff00L) + return(bits[(int)(l>>8)]+8); + else +#endif + return(bits[(int)(l )] ); + } + } + } + +int BN_num_bits(const BIGNUM *a) + { + int i = a->top - 1; + bn_check_top(a); + + if (BN_is_zero(a)) return 0; + return ((i*BN_BITS2) + BN_num_bits_word(a->d[i])); + } + +void BN_clear_free(BIGNUM *a) + { + int i; + + if (a == NULL) return; + bn_check_top(a); + if (a->d != NULL) + { + OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0])); + if (!(BN_get_flags(a,BN_FLG_STATIC_DATA))) + OPENSSL_free(a->d); + } + i=BN_get_flags(a,BN_FLG_MALLOCED); + OPENSSL_cleanse(a,sizeof(BIGNUM)); + if (i) + OPENSSL_free(a); + } + +void BN_free(BIGNUM *a) + { + if (a == NULL) return; + bn_check_top(a); + if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA))) + OPENSSL_free(a->d); + if (a->flags & BN_FLG_MALLOCED) + OPENSSL_free(a); + else + { +#ifndef OPENSSL_NO_DEPRECATED + a->flags|=BN_FLG_FREE; +#endif + a->d = NULL; + } + } + +void BN_init(BIGNUM *a) + { + memset(a,0,sizeof(BIGNUM)); + bn_check_top(a); + } + +BIGNUM *BN_new(void) + { + BIGNUM *ret; + + if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL) + { + BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE); + return(NULL); + } + ret->flags=BN_FLG_MALLOCED; + ret->top=0; + ret->neg=0; + ret->dmax=0; + ret->d=NULL; + bn_check_top(ret); + return(ret); + } + +/* This is used both by bn_expand2() and bn_dup_expand() */ +/* The caller MUST check that words > b->dmax before calling this */ +static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words) + { + BN_ULONG *A,*a = NULL; + const BN_ULONG *B; + int i; + + bn_check_top(b); + + if (words > (INT_MAX/(4*BN_BITS2))) + { + BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG); + return NULL; + } + if (BN_get_flags(b,BN_FLG_STATIC_DATA)) + { + BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA); + return(NULL); + } + a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words); + if (A == NULL) + { + BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE); + return(NULL); + } +#if 1 + B=b->d; + /* Check if the previous number needs to be copied */ + if (B != NULL) + { + for (i=b->top>>2; i>0; i--,A+=4,B+=4) + { + /* + * The fact that the loop is unrolled + * 4-wise is a tribute to Intel. It's + * the one that doesn't have enough + * registers to accomodate more data. + * I'd unroll it 8-wise otherwise:-) + * + * <appro@fy.chalmers.se> + */ + BN_ULONG a0,a1,a2,a3; + a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; + A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; + } + switch (b->top&3) + { + case 3: A[2]=B[2]; + case 2: A[1]=B[1]; + case 1: A[0]=B[0]; + case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does + * the switch table by doing a=top&3; a--; goto jump_table[a]; + * which fails for top== 0 */ + ; + } + } + +#else + memset(A,0,sizeof(BN_ULONG)*words); + memcpy(A,b->d,sizeof(b->d[0])*b->top); +#endif + + return(a); + } + +/* This is an internal function that can be used instead of bn_expand2() + * when there is a need to copy BIGNUMs instead of only expanding the + * data part, while still expanding them. + * Especially useful when needing to expand BIGNUMs that are declared + * 'const' and should therefore not be changed. + * The reason to use this instead of a BN_dup() followed by a bn_expand2() + * is memory allocation overhead. A BN_dup() followed by a bn_expand2() + * will allocate new memory for the BIGNUM data twice, and free it once, + * while bn_dup_expand() makes sure allocation is made only once. + */ + +#ifndef OPENSSL_NO_DEPRECATED +BIGNUM *bn_dup_expand(const BIGNUM *b, int words) + { + BIGNUM *r = NULL; + + bn_check_top(b); + + /* This function does not work if + * words <= b->dmax && top < words + * because BN_dup() does not preserve 'dmax'! + * (But bn_dup_expand() is not used anywhere yet.) + */ + + if (words > b->dmax) + { + BN_ULONG *a = bn_expand_internal(b, words); + + if (a) + { + r = BN_new(); + if (r) + { + r->top = b->top; + r->dmax = words; + r->neg = b->neg; + r->d = a; + } + else + { + /* r == NULL, BN_new failure */ + OPENSSL_free(a); + } + } + /* If a == NULL, there was an error in allocation in + bn_expand_internal(), and NULL should be returned */ + } + else + { + r = BN_dup(b); + } + + bn_check_top(r); + return r; + } +#endif + +/* This is an internal function that should not be used in applications. + * It ensures that 'b' has enough room for a 'words' word number + * and initialises any unused part of b->d with leading zeros. + * It is mostly used by the various BIGNUM routines. If there is an error, + * NULL is returned. If not, 'b' is returned. */ + +BIGNUM *bn_expand2(BIGNUM *b, int words) + { + bn_check_top(b); + + if (words > b->dmax) + { + BN_ULONG *a = bn_expand_internal(b, words); + if(!a) return NULL; + if(b->d) OPENSSL_free(b->d); + b->d=a; + b->dmax=words; + } + +/* None of this should be necessary because of what b->top means! */ +#if 0 + /* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */ + if (b->top < b->dmax) + { + int i; + BN_ULONG *A = &(b->d[b->top]); + for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8) + { + A[0]=0; A[1]=0; A[2]=0; A[3]=0; + A[4]=0; A[5]=0; A[6]=0; A[7]=0; + } + for (i=(b->dmax - b->top)&7; i>0; i--,A++) + A[0]=0; + assert(A == &(b->d[b->dmax])); + } +#endif + bn_check_top(b); + return b; + } + +BIGNUM *BN_dup(const BIGNUM *a) + { + BIGNUM *t; + + if (a == NULL) return NULL; + bn_check_top(a); + + t = BN_new(); + if (t == NULL) return NULL; + if(!BN_copy(t, a)) + { + BN_free(t); + return NULL; + } + bn_check_top(t); + return t; + } + +BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b) + { + int i; + BN_ULONG *A; + const BN_ULONG *B; + + bn_check_top(b); + + if (a == b) return(a); + if (bn_wexpand(a,b->top) == NULL) return(NULL); + +#if 1 + A=a->d; + B=b->d; + for (i=b->top>>2; i>0; i--,A+=4,B+=4) + { + BN_ULONG a0,a1,a2,a3; + a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; + A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; + } + switch (b->top&3) + { + case 3: A[2]=B[2]; + case 2: A[1]=B[1]; + case 1: A[0]=B[0]; + case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */ + } +#else + memcpy(a->d,b->d,sizeof(b->d[0])*b->top); +#endif + + a->top=b->top; + a->neg=b->neg; + bn_check_top(a); + return(a); + } + +void BN_swap(BIGNUM *a, BIGNUM *b) + { + int flags_old_a, flags_old_b; + BN_ULONG *tmp_d; + int tmp_top, tmp_dmax, tmp_neg; + + bn_check_top(a); + bn_check_top(b); + + flags_old_a = a->flags; + flags_old_b = b->flags; + + tmp_d = a->d; + tmp_top = a->top; + tmp_dmax = a->dmax; + tmp_neg = a->neg; + + a->d = b->d; + a->top = b->top; + a->dmax = b->dmax; + a->neg = b->neg; + + b->d = tmp_d; + b->top = tmp_top; + b->dmax = tmp_dmax; + b->neg = tmp_neg; + + a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA); + b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA); + bn_check_top(a); + bn_check_top(b); + } + +void BN_clear(BIGNUM *a) + { + bn_check_top(a); + if (a->d != NULL) + memset(a->d,0,a->dmax*sizeof(a->d[0])); + a->top=0; + a->neg=0; + } + +BN_ULONG BN_get_word(const BIGNUM *a) + { + if (a->top > 1) + return BN_MASK2; + else if (a->top == 1) + return a->d[0]; + /* a->top == 0 */ + return 0; + } + +int BN_set_word(BIGNUM *a, BN_ULONG w) + { + bn_check_top(a); + if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0); + a->neg = 0; + a->d[0] = w; + a->top = (w ? 1 : 0); + bn_check_top(a); + return(1); + } + +BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret) + { + unsigned int i,m; + unsigned int n; + BN_ULONG l; + BIGNUM *bn = NULL; + + if (ret == NULL) + ret = bn = BN_new(); + if (ret == NULL) return(NULL); + bn_check_top(ret); + l=0; + n=len; + if (n == 0) + { + ret->top=0; + return(ret); + } + i=((n-1)/BN_BYTES)+1; + m=((n-1)%(BN_BYTES)); + if (bn_wexpand(ret, (int)i) == NULL) + { + if (bn) BN_free(bn); + return NULL; + } + ret->top=i; + ret->neg=0; + while (n--) + { + l=(l<<8L)| *(s++); + if (m-- == 0) + { + ret->d[--i]=l; + l=0; + m=BN_BYTES-1; + } + } + /* need to call this due to clear byte at top if avoiding + * having the top bit set (-ve number) */ + bn_correct_top(ret); + return(ret); + } + +/* ignore negative */ +int BN_bn2bin(const BIGNUM *a, unsigned char *to) + { + int n,i; + BN_ULONG l; + + bn_check_top(a); + n=i=BN_num_bytes(a); + while (i--) + { + l=a->d[i/BN_BYTES]; + *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff; + } + return(n); + } + +int BN_ucmp(const BIGNUM *a, const BIGNUM *b) + { + int i; + BN_ULONG t1,t2,*ap,*bp; + + bn_check_top(a); + bn_check_top(b); + + i=a->top-b->top; + if (i != 0) return(i); + ap=a->d; + bp=b->d; + for (i=a->top-1; i>=0; i--) + { + t1= ap[i]; + t2= bp[i]; + if (t1 != t2) + return((t1 > t2) ? 1 : -1); + } + return(0); + } + +int BN_cmp(const BIGNUM *a, const BIGNUM *b) + { + int i; + int gt,lt; + BN_ULONG t1,t2; + + if ((a == NULL) || (b == NULL)) + { + if (a != NULL) + return(-1); + else if (b != NULL) + return(1); + else + return(0); + } + + bn_check_top(a); + bn_check_top(b); + + if (a->neg != b->neg) + { + if (a->neg) + return(-1); + else return(1); + } + if (a->neg == 0) + { gt=1; lt= -1; } + else { gt= -1; lt=1; } + + if (a->top > b->top) return(gt); + if (a->top < b->top) return(lt); + for (i=a->top-1; i>=0; i--) + { + t1=a->d[i]; + t2=b->d[i]; + if (t1 > t2) return(gt); + if (t1 < t2) return(lt); + } + return(0); + } + +int BN_set_bit(BIGNUM *a, int n) + { + int i,j,k; + + if (n < 0) + return 0; + + i=n/BN_BITS2; + j=n%BN_BITS2; + if (a->top <= i) + { + if (bn_wexpand(a,i+1) == NULL) return(0); + for(k=a->top; k<i+1; k++) + a->d[k]=0; + a->top=i+1; + } + + a->d[i]|=(((BN_ULONG)1)<<j); + bn_check_top(a); + return(1); + } + +int BN_clear_bit(BIGNUM *a, int n) + { + int i,j; + + bn_check_top(a); + if (n < 0) return 0; + + i=n/BN_BITS2; + j=n%BN_BITS2; + if (a->top <= i) return(0); + + a->d[i]&=(~(((BN_ULONG)1)<<j)); + bn_correct_top(a); + return(1); + } + +int BN_is_bit_set(const BIGNUM *a, int n) + { + int i,j; + + bn_check_top(a); + if (n < 0) return 0; + i=n/BN_BITS2; + j=n%BN_BITS2; + if (a->top <= i) return 0; + return(((a->d[i])>>j)&((BN_ULONG)1)); + } + +int BN_mask_bits(BIGNUM *a, int n) + { + int b,w; + + bn_check_top(a); + if (n < 0) return 0; + + w=n/BN_BITS2; + b=n%BN_BITS2; + if (w >= a->top) return 0; + if (b == 0) + a->top=w; + else + { + a->top=w+1; + a->d[w]&= ~(BN_MASK2<<b); + } + bn_correct_top(a); + return(1); + } + +void BN_set_negative(BIGNUM *a, int b) + { + if (b && !BN_is_zero(a)) + a->neg = 1; + else + a->neg = 0; + } + +int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) + { + int i; + BN_ULONG aa,bb; + + aa=a[n-1]; + bb=b[n-1]; + if (aa != bb) return((aa > bb)?1:-1); + for (i=n-2; i>=0; i--) + { + aa=a[i]; + bb=b[i]; + if (aa != bb) return((aa > bb)?1:-1); + } + return(0); + } + +/* Here follows a specialised variants of bn_cmp_words(). It has the + property of performing the operation on arrays of different sizes. + The sizes of those arrays is expressed through cl, which is the + common length ( basicall, min(len(a),len(b)) ), and dl, which is the + delta between the two lengths, calculated as len(a)-len(b). + All lengths are the number of BN_ULONGs... */ + +int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl) + { + int n,i; + n = cl-1; + + if (dl < 0) + { + for (i=dl; i<0; i++) + { + if (b[n-i] != 0) + return -1; /* a < b */ + } + } + if (dl > 0) + { + for (i=dl; i>0; i--) + { + if (a[n+i] != 0) + return 1; /* a > b */ + } + } + return bn_cmp_words(a,b,cl); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mod.c b/Cryptlib/OpenSSL/crypto/bn/bn_mod.c new file mode 100755 index 00000000..77d6ddb9 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_mod.c @@ -0,0 +1,301 @@ +/* crypto/bn/bn_mod.c */ +/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> + * for the OpenSSL project. */ +/* ==================================================================== + * Copyright (c) 1998-2000 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 (C) 1995-1998 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.] + */ + +#include "cryptlib.h" +#include "bn_lcl.h" + + +#if 0 /* now just a #define */ +int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx) + { + return(BN_div(NULL,rem,m,d,ctx)); + /* note that rem->neg == m->neg (unless the remainder is zero) */ + } +#endif + + +int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx) + { + /* like BN_mod, but returns non-negative remainder + * (i.e., 0 <= r < |d| always holds) */ + + if (!(BN_mod(r,m,d,ctx))) + return 0; + if (!r->neg) + return 1; + /* now -|d| < r < 0, so we have to set r := r + |d| */ + return (d->neg ? BN_sub : BN_add)(r, r, d); +} + + +int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) + { + if (!BN_add(r, a, b)) return 0; + return BN_nnmod(r, r, m, ctx); + } + + +/* BN_mod_add variant that may be used if both a and b are non-negative + * and less than m */ +int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m) + { + if (!BN_uadd(r, a, b)) return 0; + if (BN_ucmp(r, m) >= 0) + return BN_usub(r, r, m); + return 1; + } + + +int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) + { + if (!BN_sub(r, a, b)) return 0; + return BN_nnmod(r, r, m, ctx); + } + + +/* BN_mod_sub variant that may be used if both a and b are non-negative + * and less than m */ +int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m) + { + if (!BN_sub(r, a, b)) return 0; + if (r->neg) + return BN_add(r, r, m); + return 1; + } + + +/* slow but works */ +int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, + BN_CTX *ctx) + { + BIGNUM *t; + int ret=0; + + bn_check_top(a); + bn_check_top(b); + bn_check_top(m); + + BN_CTX_start(ctx); + if ((t = BN_CTX_get(ctx)) == NULL) goto err; + if (a == b) + { if (!BN_sqr(t,a,ctx)) goto err; } + else + { if (!BN_mul(t,a,b,ctx)) goto err; } + if (!BN_nnmod(r,t,m,ctx)) goto err; + bn_check_top(r); + ret=1; +err: + BN_CTX_end(ctx); + return(ret); + } + + +int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx) + { + if (!BN_sqr(r, a, ctx)) return 0; + /* r->neg == 0, thus we don't need BN_nnmod */ + return BN_mod(r, r, m, ctx); + } + + +int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx) + { + if (!BN_lshift1(r, a)) return 0; + bn_check_top(r); + return BN_nnmod(r, r, m, ctx); + } + + +/* BN_mod_lshift1 variant that may be used if a is non-negative + * and less than m */ +int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m) + { + if (!BN_lshift1(r, a)) return 0; + bn_check_top(r); + if (BN_cmp(r, m) >= 0) + return BN_sub(r, r, m); + return 1; + } + + +int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx) + { + BIGNUM *abs_m = NULL; + int ret; + + if (!BN_nnmod(r, a, m, ctx)) return 0; + + if (m->neg) + { + abs_m = BN_dup(m); + if (abs_m == NULL) return 0; + abs_m->neg = 0; + } + + ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m)); + bn_check_top(r); + + if (abs_m) + BN_free(abs_m); + return ret; + } + + +/* BN_mod_lshift variant that may be used if a is non-negative + * and less than m */ +int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m) + { + if (r != a) + { + if (BN_copy(r, a) == NULL) return 0; + } + + while (n > 0) + { + int max_shift; + + /* 0 < r < m */ + max_shift = BN_num_bits(m) - BN_num_bits(r); + /* max_shift >= 0 */ + + if (max_shift < 0) + { + BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED); + return 0; + } + + if (max_shift > n) + max_shift = n; + + if (max_shift) + { + if (!BN_lshift(r, r, max_shift)) return 0; + n -= max_shift; + } + else + { + if (!BN_lshift1(r, r)) return 0; + --n; + } + + /* BN_num_bits(r) <= BN_num_bits(m) */ + + if (BN_cmp(r, m) >= 0) + { + if (!BN_sub(r, r, m)) return 0; + } + } + bn_check_top(r); + + return 1; + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mont.c b/Cryptlib/OpenSSL/crypto/bn/bn_mont.c new file mode 100755 index 00000000..4799b152 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_mont.c @@ -0,0 +1,732 @@ +/* crypto/bn/bn_mont.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * 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). + * + */ + +/* + * Details about Montgomery multiplication algorithms can be found at + * http://security.ece.orst.edu/publications.html, e.g. + * http://security.ece.orst.edu/koc/papers/j37acmon.pdf and + * sections 3.8 and 4.2 in http://security.ece.orst.edu/koc/papers/r01rsasw.pdf + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +#define MONT_WORD /* use the faster word-based algorithm */ + +#if defined(MONT_WORD) && defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32) +/* This condition means we have a specific non-default build: + * In the 0.9.8 branch, OPENSSL_BN_ASM_MONT is normally not set for any + * BN_BITS2<=32 platform; an explicit "enable-montasm" is required. + * I.e., if we are here, the user intentionally deviates from the + * normal stable build to get better Montgomery performance from + * the 0.9.9-dev backport. + * + * In this case only, we also enable BN_from_montgomery_word() + * (another non-stable feature from 0.9.9-dev). + */ +#define MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD +#endif + +#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD +static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont); +#endif + + + +int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + BN_MONT_CTX *mont, BN_CTX *ctx) + { + BIGNUM *tmp; + int ret=0; +#if defined(OPENSSL_BN_ASM_MONT) && defined(MONT_WORD) + int num = mont->N.top; + + if (num>1 && a->top==num && b->top==num) + { + if (bn_wexpand(r,num) == NULL) return(0); +#if 0 /* for OpenSSL 0.9.9 mont->n0 */ + if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,mont->n0,num)) +#else + if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,&mont->n0,num)) +#endif + { + r->neg = a->neg^b->neg; + r->top = num; + bn_correct_top(r); + return(1); + } + } +#endif + + BN_CTX_start(ctx); + tmp = BN_CTX_get(ctx); + if (tmp == NULL) goto err; + + bn_check_top(tmp); + if (a == b) + { + if (!BN_sqr(tmp,a,ctx)) goto err; + } + else + { + if (!BN_mul(tmp,a,b,ctx)) goto err; + } + /* reduce from aRR to aR */ +#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD + if (!BN_from_montgomery_word(r,tmp,mont)) goto err; +#else + if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err; +#endif + bn_check_top(r); + ret=1; +err: + BN_CTX_end(ctx); + return(ret); + } + +#ifdef MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD +static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont) + { + BIGNUM *n; + BN_ULONG *ap,*np,*rp,n0,v,*nrp; + int al,nl,max,i,x,ri; + + n= &(mont->N); + /* mont->ri is the size of mont->N in bits (rounded up + to the word size) */ + al=ri=mont->ri/BN_BITS2; + + nl=n->top; + if ((al == 0) || (nl == 0)) { ret->top=0; return(1); } + + max=(nl+al+1); /* allow for overflow (no?) XXX */ + if (bn_wexpand(r,max) == NULL) return(0); + + r->neg^=n->neg; + np=n->d; + rp=r->d; + nrp= &(r->d[nl]); + + /* clear the top words of T */ + for (i=r->top; i<max; i++) /* memset? XXX */ + r->d[i]=0; + + r->top=max; +#if 0 /* for OpenSSL 0.9.9 mont->n0 */ + n0=mont->n0[0]; +#else + n0=mont->n0; +#endif + +#ifdef BN_COUNT + fprintf(stderr,"word BN_from_montgomery_word %d * %d\n",nl,nl); +#endif + for (i=0; i<nl; i++) + { +#ifdef __TANDEM + { + long long t1; + long long t2; + long long t3; + t1 = rp[0] * (n0 & 0177777); + t2 = 037777600000l; + t2 = n0 & t2; + t3 = rp[0] & 0177777; + t2 = (t3 * t2) & BN_MASK2; + t1 = t1 + t2; + v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1); + } +#else + v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2); +#endif + nrp++; + rp++; + if (((nrp[-1]+=v)&BN_MASK2) >= v) + continue; + else + { + if (((++nrp[0])&BN_MASK2) != 0) continue; + if (((++nrp[1])&BN_MASK2) != 0) continue; + for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ; + } + } + bn_correct_top(r); + + /* mont->ri will be a multiple of the word size and below code + * is kind of BN_rshift(ret,r,mont->ri) equivalent */ + if (r->top <= ri) + { + ret->top=0; + return(1); + } + al=r->top-ri; + + if (bn_wexpand(ret,ri) == NULL) return(0); + x=0-(((al-ri)>>(sizeof(al)*8-1))&1); + ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */ + ret->neg=r->neg; + + rp=ret->d; + ap=&(r->d[ri]); + + { + size_t m1,m2; + + v=bn_sub_words(rp,ap,np,ri); + /* this ----------------^^ works even in al<ri case + * thanks to zealous zeroing of top of the vector in the + * beginning. */ + + /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */ + /* in other words if subtraction result is real, then + * trick unconditional memcpy below to perform in-place + * "refresh" instead of actual copy. */ + m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */ + m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */ + m1|=m2; /* (al!=ri) */ + m1|=(0-(size_t)v); /* (al!=ri || v) */ + m1&=~m2; /* (al!=ri || v) && !al>ri */ + nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1)); + } + + /* 'i<ri' is chosen to eliminate dependency on input data, even + * though it results in redundant copy in al<ri case. */ + for (i=0,ri-=4; i<ri; i+=4) + { + BN_ULONG t1,t2,t3,t4; + + t1=nrp[i+0]; + t2=nrp[i+1]; + t3=nrp[i+2]; ap[i+0]=0; + t4=nrp[i+3]; ap[i+1]=0; + rp[i+0]=t1; ap[i+2]=0; + rp[i+1]=t2; ap[i+3]=0; + rp[i+2]=t3; + rp[i+3]=t4; + } + for (ri+=4; i<ri; i++) + rp[i]=nrp[i], ap[i]=0; + bn_correct_top(r); + bn_correct_top(ret); + bn_check_top(ret); + + return(1); + } + +int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont, + BN_CTX *ctx) + { + int retn=0; + BIGNUM *t; + + BN_CTX_start(ctx); + if ((t = BN_CTX_get(ctx)) && BN_copy(t,a)) + retn = BN_from_montgomery_word(ret,t,mont); + BN_CTX_end(ctx); + return retn; + } + +#else /* !MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */ + +int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont, + BN_CTX *ctx) + { + int retn=0; + +#ifdef MONT_WORD + BIGNUM *n,*r; + BN_ULONG *ap,*np,*rp,n0,v,*nrp; + int al,nl,max,i,x,ri; + + BN_CTX_start(ctx); + if ((r = BN_CTX_get(ctx)) == NULL) goto err; + + if (!BN_copy(r,a)) goto err; + n= &(mont->N); + + ap=a->d; + /* mont->ri is the size of mont->N in bits (rounded up + to the word size) */ + al=ri=mont->ri/BN_BITS2; + + nl=n->top; + if ((al == 0) || (nl == 0)) { r->top=0; return(1); } + + max=(nl+al+1); /* allow for overflow (no?) XXX */ + if (bn_wexpand(r,max) == NULL) goto err; + + r->neg=a->neg^n->neg; + np=n->d; + rp=r->d; + nrp= &(r->d[nl]); + + /* clear the top words of T */ +#if 1 + for (i=r->top; i<max; i++) /* memset? XXX */ + r->d[i]=0; +#else + memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG)); +#endif + + r->top=max; + n0=mont->n0; + +#ifdef BN_COUNT + fprintf(stderr,"word BN_from_montgomery %d * %d\n",nl,nl); +#endif + for (i=0; i<nl; i++) + { +#ifdef __TANDEM + { + long long t1; + long long t2; + long long t3; + t1 = rp[0] * (n0 & 0177777); + t2 = 037777600000l; + t2 = n0 & t2; + t3 = rp[0] & 0177777; + t2 = (t3 * t2) & BN_MASK2; + t1 = t1 + t2; + v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1); + } +#else + v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2); +#endif + nrp++; + rp++; + if (((nrp[-1]+=v)&BN_MASK2) >= v) + continue; + else + { + if (((++nrp[0])&BN_MASK2) != 0) continue; + if (((++nrp[1])&BN_MASK2) != 0) continue; + for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ; + } + } + bn_correct_top(r); + + /* mont->ri will be a multiple of the word size and below code + * is kind of BN_rshift(ret,r,mont->ri) equivalent */ + if (r->top <= ri) + { + ret->top=0; + retn=1; + goto err; + } + al=r->top-ri; + +# define BRANCH_FREE 1 +# if BRANCH_FREE + if (bn_wexpand(ret,ri) == NULL) goto err; + x=0-(((al-ri)>>(sizeof(al)*8-1))&1); + ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */ + ret->neg=r->neg; + + rp=ret->d; + ap=&(r->d[ri]); + + { + size_t m1,m2; + + v=bn_sub_words(rp,ap,np,ri); + /* this ----------------^^ works even in al<ri case + * thanks to zealous zeroing of top of the vector in the + * beginning. */ + + /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */ + /* in other words if subtraction result is real, then + * trick unconditional memcpy below to perform in-place + * "refresh" instead of actual copy. */ + m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */ + m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */ + m1|=m2; /* (al!=ri) */ + m1|=(0-(size_t)v); /* (al!=ri || v) */ + m1&=~m2; /* (al!=ri || v) && !al>ri */ + nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1)); + } + + /* 'i<ri' is chosen to eliminate dependency on input data, even + * though it results in redundant copy in al<ri case. */ + for (i=0,ri-=4; i<ri; i+=4) + { + BN_ULONG t1,t2,t3,t4; + + t1=nrp[i+0]; + t2=nrp[i+1]; + t3=nrp[i+2]; ap[i+0]=0; + t4=nrp[i+3]; ap[i+1]=0; + rp[i+0]=t1; ap[i+2]=0; + rp[i+1]=t2; ap[i+3]=0; + rp[i+2]=t3; + rp[i+3]=t4; + } + for (ri+=4; i<ri; i++) + rp[i]=nrp[i], ap[i]=0; + bn_correct_top(r); + bn_correct_top(ret); +# else + if (bn_wexpand(ret,al) == NULL) goto err; + ret->top=al; + ret->neg=r->neg; + + rp=ret->d; + ap=&(r->d[ri]); + al-=4; + for (i=0; i<al; i+=4) + { + BN_ULONG t1,t2,t3,t4; + + t1=ap[i+0]; + t2=ap[i+1]; + t3=ap[i+2]; + t4=ap[i+3]; + rp[i+0]=t1; + rp[i+1]=t2; + rp[i+2]=t3; + rp[i+3]=t4; + } + al+=4; + for (; i<al; i++) + rp[i]=ap[i]; +# endif +#else /* !MONT_WORD */ + BIGNUM *t1,*t2; + + BN_CTX_start(ctx); + t1 = BN_CTX_get(ctx); + t2 = BN_CTX_get(ctx); + if (t1 == NULL || t2 == NULL) goto err; + + if (!BN_copy(t1,a)) goto err; + BN_mask_bits(t1,mont->ri); + + if (!BN_mul(t2,t1,&mont->Ni,ctx)) goto err; + BN_mask_bits(t2,mont->ri); + + if (!BN_mul(t1,t2,&mont->N,ctx)) goto err; + if (!BN_add(t2,a,t1)) goto err; + if (!BN_rshift(ret,t2,mont->ri)) goto err; +#endif /* MONT_WORD */ + +#if !defined(BRANCH_FREE) || BRANCH_FREE==0 + if (BN_ucmp(ret, &(mont->N)) >= 0) + { + if (!BN_usub(ret,ret,&(mont->N))) goto err; + } +#endif + retn=1; + bn_check_top(ret); + err: + BN_CTX_end(ctx); + return(retn); + } +#endif /* MONT_FROM_WORD___NON_DEFAULT_0_9_8_BUILD */ + +BN_MONT_CTX *BN_MONT_CTX_new(void) + { + BN_MONT_CTX *ret; + + if ((ret=(BN_MONT_CTX *)OPENSSL_malloc(sizeof(BN_MONT_CTX))) == NULL) + return(NULL); + + BN_MONT_CTX_init(ret); + ret->flags=BN_FLG_MALLOCED; + return(ret); + } + +void BN_MONT_CTX_init(BN_MONT_CTX *ctx) + { + ctx->ri=0; + BN_init(&(ctx->RR)); + BN_init(&(ctx->N)); + BN_init(&(ctx->Ni)); +#if 0 /* for OpenSSL 0.9.9 mont->n0 */ + ctx->n0[0] = ctx->n0[1] = 0; +#else + ctx->n0 = 0; +#endif + ctx->flags=0; + } + +void BN_MONT_CTX_free(BN_MONT_CTX *mont) + { + if(mont == NULL) + return; + + BN_free(&(mont->RR)); + BN_free(&(mont->N)); + BN_free(&(mont->Ni)); + if (mont->flags & BN_FLG_MALLOCED) + OPENSSL_free(mont); + } + +int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx) + { + int ret = 0; + BIGNUM *Ri,*R; + + BN_CTX_start(ctx); + if((Ri = BN_CTX_get(ctx)) == NULL) goto err; + R= &(mont->RR); /* grab RR as a temp */ + if (!BN_copy(&(mont->N),mod)) goto err; /* Set N */ + mont->N.neg = 0; + +#ifdef MONT_WORD + { + BIGNUM tmod; + BN_ULONG buf[2]; + + mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2; + BN_zero(R); +#if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)", + only certain BN_BITS2<=32 platforms actually need this */ + if (!(BN_set_bit(R,2*BN_BITS2))) goto err; /* R */ +#else + if (!(BN_set_bit(R,BN_BITS2))) goto err; /* R */ +#endif + + buf[0]=mod->d[0]; /* tmod = N mod word size */ + buf[1]=0; + + BN_init(&tmod); + tmod.d=buf; + tmod.top = buf[0] != 0 ? 1 : 0; + tmod.dmax=2; + tmod.neg=0; + +#if 0 /* for OpenSSL 0.9.9 mont->n0, would be "#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)"; + only certain BN_BITS2<=32 platforms actually need this */ + tmod.top=0; + if ((buf[0] = mod->d[0])) tmod.top=1; + if ((buf[1] = mod->top>1 ? mod->d[1] : 0)) tmod.top=2; + + if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL) + goto err; + if (!BN_lshift(Ri,Ri,2*BN_BITS2)) goto err; /* R*Ri */ + if (!BN_is_zero(Ri)) + { + if (!BN_sub_word(Ri,1)) goto err; + } + else /* if N mod word size == 1 */ + { + if (bn_expand(Ri,(int)sizeof(BN_ULONG)*2) == NULL) + goto err; + /* Ri-- (mod double word size) */ + Ri->neg=0; + Ri->d[0]=BN_MASK2; + Ri->d[1]=BN_MASK2; + Ri->top=2; + } + if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err; + /* Ni = (R*Ri-1)/N, + * keep only couple of least significant words: */ + mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0; + mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0; +#else + /* Ri = R^-1 mod N*/ + if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL) + goto err; + if (!BN_lshift(Ri,Ri,BN_BITS2)) goto err; /* R*Ri */ + if (!BN_is_zero(Ri)) + { + if (!BN_sub_word(Ri,1)) goto err; + } + else /* if N mod word size == 1 */ + { + if (!BN_set_word(Ri,BN_MASK2)) goto err; /* Ri-- (mod word size) */ + } + if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err; + /* Ni = (R*Ri-1)/N, + * keep only least significant word: */ +# if 0 /* for OpenSSL 0.9.9 mont->n0 */ + mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0; + mont->n0[1] = 0; +# else + mont->n0 = (Ri->top > 0) ? Ri->d[0] : 0; +# endif +#endif + } +#else /* !MONT_WORD */ + { /* bignum version */ + mont->ri=BN_num_bits(&mont->N); + BN_zero(R); + if (!BN_set_bit(R,mont->ri)) goto err; /* R = 2^ri */ + /* Ri = R^-1 mod N*/ + if ((BN_mod_inverse(Ri,R,&mont->N,ctx)) == NULL) + goto err; + if (!BN_lshift(Ri,Ri,mont->ri)) goto err; /* R*Ri */ + if (!BN_sub_word(Ri,1)) goto err; + /* Ni = (R*Ri-1) / N */ + if (!BN_div(&(mont->Ni),NULL,Ri,&mont->N,ctx)) goto err; + } +#endif + + /* setup RR for conversions */ + BN_zero(&(mont->RR)); + if (!BN_set_bit(&(mont->RR),mont->ri*2)) goto err; + if (!BN_mod(&(mont->RR),&(mont->RR),&(mont->N),ctx)) goto err; + + ret = 1; +err: + BN_CTX_end(ctx); + return ret; + } + +BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from) + { + if (to == from) return(to); + + if (!BN_copy(&(to->RR),&(from->RR))) return NULL; + if (!BN_copy(&(to->N),&(from->N))) return NULL; + if (!BN_copy(&(to->Ni),&(from->Ni))) return NULL; + to->ri=from->ri; +#if 0 /* for OpenSSL 0.9.9 mont->n0 */ + to->n0[0]=from->n0[0]; + to->n0[1]=from->n0[1]; +#else + to->n0=from->n0; +#endif + return(to); + } + +BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, + const BIGNUM *mod, BN_CTX *ctx) + { + int got_write_lock = 0; + BN_MONT_CTX *ret; + + CRYPTO_r_lock(lock); + if (!*pmont) + { + CRYPTO_r_unlock(lock); + CRYPTO_w_lock(lock); + got_write_lock = 1; + + if (!*pmont) + { + ret = BN_MONT_CTX_new(); + if (ret && !BN_MONT_CTX_set(ret, mod, ctx)) + BN_MONT_CTX_free(ret); + else + *pmont = ret; + } + } + + ret = *pmont; + + if (got_write_lock) + CRYPTO_w_unlock(lock); + else + CRYPTO_r_unlock(lock); + + return ret; + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c b/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c new file mode 100755 index 00000000..a054d21a --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_mpi.c @@ -0,0 +1,130 @@ +/* crypto/bn/bn_mpi.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +int BN_bn2mpi(const BIGNUM *a, unsigned char *d) + { + int bits; + int num=0; + int ext=0; + long l; + + bits=BN_num_bits(a); + num=(bits+7)/8; + if (bits > 0) + { + ext=((bits & 0x07) == 0); + } + if (d == NULL) + return(num+4+ext); + + l=num+ext; + d[0]=(unsigned char)(l>>24)&0xff; + d[1]=(unsigned char)(l>>16)&0xff; + d[2]=(unsigned char)(l>> 8)&0xff; + d[3]=(unsigned char)(l )&0xff; + if (ext) d[4]=0; + num=BN_bn2bin(a,&(d[4+ext])); + if (a->neg) + d[4]|=0x80; + return(num+4+ext); + } + +BIGNUM *BN_mpi2bn(const unsigned char *d, int n, BIGNUM *a) + { + long len; + int neg=0; + + if (n < 4) + { + BNerr(BN_F_BN_MPI2BN,BN_R_INVALID_LENGTH); + return(NULL); + } + len=((long)d[0]<<24)|((long)d[1]<<16)|((int)d[2]<<8)|(int)d[3]; + if ((len+4) != n) + { + BNerr(BN_F_BN_MPI2BN,BN_R_ENCODING_ERROR); + return(NULL); + } + + if (a == NULL) a=BN_new(); + if (a == NULL) return(NULL); + + if (len == 0) + { + a->neg=0; + a->top=0; + return(a); + } + d+=4; + if ((*d) & 0x80) + neg=1; + if (BN_bin2bn(d,(int)len,a) == NULL) + return(NULL); + a->neg=neg; + if (neg) + { + BN_clear_bit(a,BN_num_bits(a)-1); + } + bn_check_top(a); + return(a); + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_mul.c b/Cryptlib/OpenSSL/crypto/bn/bn_mul.c new file mode 100755 index 00000000..12e5be80 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_mul.c @@ -0,0 +1,1166 @@ +/* crypto/bn/bn_mul.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#ifndef BN_DEBUG +# undef NDEBUG /* avoid conflicting definitions */ +# define NDEBUG +#endif + +#include <stdio.h> +#include <assert.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +#if defined(OPENSSL_NO_ASM) || !defined(OPENSSL_BN_ASM_PART_WORDS) +/* Here follows specialised variants of bn_add_words() and + bn_sub_words(). They have the property performing operations on + arrays of different sizes. The sizes of those arrays is expressed through + cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl, + which is the delta between the two lengths, calculated as len(a)-len(b). + All lengths are the number of BN_ULONGs... For the operations that require + a result array as parameter, it must have the length cl+abs(dl). + These functions should probably end up in bn_asm.c as soon as there are + assembler counterparts for the systems that use assembler files. */ + +BN_ULONG bn_sub_part_words(BN_ULONG *r, + const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl) + { + BN_ULONG c, t; + + assert(cl >= 0); + c = bn_sub_words(r, a, b, cl); + + if (dl == 0) + return c; + + r += cl; + a += cl; + b += cl; + + if (dl < 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c); +#endif + for (;;) + { + t = b[0]; + r[0] = (0-t-c)&BN_MASK2; + if (t != 0) c=1; + if (++dl >= 0) break; + + t = b[1]; + r[1] = (0-t-c)&BN_MASK2; + if (t != 0) c=1; + if (++dl >= 0) break; + + t = b[2]; + r[2] = (0-t-c)&BN_MASK2; + if (t != 0) c=1; + if (++dl >= 0) break; + + t = b[3]; + r[3] = (0-t-c)&BN_MASK2; + if (t != 0) c=1; + if (++dl >= 0) break; + + b += 4; + r += 4; + } + } + else + { + int save_dl = dl; +#ifdef BN_COUNT + fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl, dl, c); +#endif + while(c) + { + t = a[0]; + r[0] = (t-c)&BN_MASK2; + if (t != 0) c=0; + if (--dl <= 0) break; + + t = a[1]; + r[1] = (t-c)&BN_MASK2; + if (t != 0) c=0; + if (--dl <= 0) break; + + t = a[2]; + r[2] = (t-c)&BN_MASK2; + if (t != 0) c=0; + if (--dl <= 0) break; + + t = a[3]; + r[3] = (t-c)&BN_MASK2; + if (t != 0) c=0; + if (--dl <= 0) break; + + save_dl = dl; + a += 4; + r += 4; + } + if (dl > 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n", cl, dl); +#endif + if (save_dl > dl) + { + switch (save_dl - dl) + { + case 1: + r[1] = a[1]; + if (--dl <= 0) break; + case 2: + r[2] = a[2]; + if (--dl <= 0) break; + case 3: + r[3] = a[3]; + if (--dl <= 0) break; + } + a += 4; + r += 4; + } + } + if (dl > 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n", cl, dl); +#endif + for(;;) + { + r[0] = a[0]; + if (--dl <= 0) break; + r[1] = a[1]; + if (--dl <= 0) break; + r[2] = a[2]; + if (--dl <= 0) break; + r[3] = a[3]; + if (--dl <= 0) break; + + a += 4; + r += 4; + } + } + } + return c; + } +#endif + +BN_ULONG bn_add_part_words(BN_ULONG *r, + const BN_ULONG *a, const BN_ULONG *b, + int cl, int dl) + { + BN_ULONG c, l, t; + + assert(cl >= 0); + c = bn_add_words(r, a, b, cl); + + if (dl == 0) + return c; + + r += cl; + a += cl; + b += cl; + + if (dl < 0) + { + int save_dl = dl; +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c); +#endif + while (c) + { + l=(c+b[0])&BN_MASK2; + c=(l < c); + r[0]=l; + if (++dl >= 0) break; + + l=(c+b[1])&BN_MASK2; + c=(l < c); + r[1]=l; + if (++dl >= 0) break; + + l=(c+b[2])&BN_MASK2; + c=(l < c); + r[2]=l; + if (++dl >= 0) break; + + l=(c+b[3])&BN_MASK2; + c=(l < c); + r[3]=l; + if (++dl >= 0) break; + + save_dl = dl; + b+=4; + r+=4; + } + if (dl < 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n", cl, dl); +#endif + if (save_dl < dl) + { + switch (dl - save_dl) + { + case 1: + r[1] = b[1]; + if (++dl >= 0) break; + case 2: + r[2] = b[2]; + if (++dl >= 0) break; + case 3: + r[3] = b[3]; + if (++dl >= 0) break; + } + b += 4; + r += 4; + } + } + if (dl < 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n", cl, dl); +#endif + for(;;) + { + r[0] = b[0]; + if (++dl >= 0) break; + r[1] = b[1]; + if (++dl >= 0) break; + r[2] = b[2]; + if (++dl >= 0) break; + r[3] = b[3]; + if (++dl >= 0) break; + + b += 4; + r += 4; + } + } + } + else + { + int save_dl = dl; +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl); +#endif + while (c) + { + t=(a[0]+c)&BN_MASK2; + c=(t < c); + r[0]=t; + if (--dl <= 0) break; + + t=(a[1]+c)&BN_MASK2; + c=(t < c); + r[1]=t; + if (--dl <= 0) break; + + t=(a[2]+c)&BN_MASK2; + c=(t < c); + r[2]=t; + if (--dl <= 0) break; + + t=(a[3]+c)&BN_MASK2; + c=(t < c); + r[3]=t; + if (--dl <= 0) break; + + save_dl = dl; + a+=4; + r+=4; + } +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl, dl); +#endif + if (dl > 0) + { + if (save_dl > dl) + { + switch (save_dl - dl) + { + case 1: + r[1] = a[1]; + if (--dl <= 0) break; + case 2: + r[2] = a[2]; + if (--dl <= 0) break; + case 3: + r[3] = a[3]; + if (--dl <= 0) break; + } + a += 4; + r += 4; + } + } + if (dl > 0) + { +#ifdef BN_COUNT + fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n", cl, dl); +#endif + for(;;) + { + r[0] = a[0]; + if (--dl <= 0) break; + r[1] = a[1]; + if (--dl <= 0) break; + r[2] = a[2]; + if (--dl <= 0) break; + r[3] = a[3]; + if (--dl <= 0) break; + + a += 4; + r += 4; + } + } + } + return c; + } + +#ifdef BN_RECURSION +/* Karatsuba recursive multiplication algorithm + * (cf. Knuth, The Art of Computer Programming, Vol. 2) */ + +/* r is 2*n2 words in size, + * a and b are both n2 words in size. + * n2 must be a power of 2. + * We multiply and return the result. + * t must be 2*n2 words in size + * We calculate + * a[0]*b[0] + * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0]) + * a[1]*b[1] + */ +/* dnX may not be positive, but n2/2+dnX has to be */ +void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2, + int dna, int dnb, BN_ULONG *t) + { + int n=n2/2,c1,c2; + int tna=n+dna, tnb=n+dnb; + unsigned int neg,zero; + BN_ULONG ln,lo,*p; + +# ifdef BN_COUNT + fprintf(stderr," bn_mul_recursive %d%+d * %d%+d\n",n2,dna,n2,dnb); +# endif +# ifdef BN_MUL_COMBA +# if 0 + if (n2 == 4) + { + bn_mul_comba4(r,a,b); + return; + } +# endif + /* Only call bn_mul_comba 8 if n2 == 8 and the + * two arrays are complete [steve] + */ + if (n2 == 8 && dna == 0 && dnb == 0) + { + bn_mul_comba8(r,a,b); + return; + } +# endif /* BN_MUL_COMBA */ + /* Else do normal multiply */ + if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL) + { + bn_mul_normal(r,a,n2+dna,b,n2+dnb); + if ((dna + dnb) < 0) + memset(&r[2*n2 + dna + dnb], 0, + sizeof(BN_ULONG) * -(dna + dnb)); + return; + } + /* r=(a[0]-a[1])*(b[1]-b[0]) */ + c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna); + c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n); + zero=neg=0; + switch (c1*3+c2) + { + case -4: + bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */ + bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */ + break; + case -3: + zero=1; + break; + case -2: + bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */ + bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */ + neg=1; + break; + case -1: + case 0: + case 1: + zero=1; + break; + case 2: + bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */ + bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */ + neg=1; + break; + case 3: + zero=1; + break; + case 4: + bn_sub_part_words(t, a, &(a[n]),tna,n-tna); + bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); + break; + } + +# ifdef BN_MUL_COMBA + if (n == 4 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba4 could take + extra args to do this well */ + { + if (!zero) + bn_mul_comba4(&(t[n2]),t,&(t[n])); + else + memset(&(t[n2]),0,8*sizeof(BN_ULONG)); + + bn_mul_comba4(r,a,b); + bn_mul_comba4(&(r[n2]),&(a[n]),&(b[n])); + } + else if (n == 8 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba8 could + take extra args to do this + well */ + { + if (!zero) + bn_mul_comba8(&(t[n2]),t,&(t[n])); + else + memset(&(t[n2]),0,16*sizeof(BN_ULONG)); + + bn_mul_comba8(r,a,b); + bn_mul_comba8(&(r[n2]),&(a[n]),&(b[n])); + } + else +# endif /* BN_MUL_COMBA */ + { + p= &(t[n2*2]); + if (!zero) + bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p); + else + memset(&(t[n2]),0,n2*sizeof(BN_ULONG)); + bn_mul_recursive(r,a,b,n,0,0,p); + bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),n,dna,dnb,p); + } + + /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign + * r[10] holds (a[0]*b[0]) + * r[32] holds (b[1]*b[1]) + */ + + c1=(int)(bn_add_words(t,r,&(r[n2]),n2)); + + if (neg) /* if t[32] is negative */ + { + c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2)); + } + else + { + /* Might have a carry */ + c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2)); + } + + /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1]) + * r[10] holds (a[0]*b[0]) + * r[32] holds (b[1]*b[1]) + * c1 holds the carry bits + */ + c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2)); + if (c1) + { + p= &(r[n+n2]); + lo= *p; + ln=(lo+c1)&BN_MASK2; + *p=ln; + + /* The overflow will stop before we over write + * words we should not overwrite */ + if (ln < (BN_ULONG)c1) + { + do { + p++; + lo= *p; + ln=(lo+1)&BN_MASK2; + *p=ln; + } while (ln == 0); + } + } + } + +/* n+tn is the word length + * t needs to be n*4 is size, as does r */ +/* tnX may not be negative but less than n */ +void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n, + int tna, int tnb, BN_ULONG *t) + { + int i,j,n2=n*2; + int c1,c2,neg; + BN_ULONG ln,lo,*p; + +# ifdef BN_COUNT + fprintf(stderr," bn_mul_part_recursive (%d%+d) * (%d%+d)\n", + n, tna, n, tnb); +# endif + if (n < 8) + { + bn_mul_normal(r,a,n+tna,b,n+tnb); + return; + } + + /* r=(a[0]-a[1])*(b[1]-b[0]) */ + c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna); + c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n); + neg=0; + switch (c1*3+c2) + { + case -4: + bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */ + bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */ + break; + case -3: + /* break; */ + case -2: + bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */ + bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */ + neg=1; + break; + case -1: + case 0: + case 1: + /* break; */ + case 2: + bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */ + bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */ + neg=1; + break; + case 3: + /* break; */ + case 4: + bn_sub_part_words(t, a, &(a[n]),tna,n-tna); + bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); + break; + } + /* The zero case isn't yet implemented here. The speedup + would probably be negligible. */ +# if 0 + if (n == 4) + { + bn_mul_comba4(&(t[n2]),t,&(t[n])); + bn_mul_comba4(r,a,b); + bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn); + memset(&(r[n2+tn*2]),0,sizeof(BN_ULONG)*(n2-tn*2)); + } + else +# endif + if (n == 8) + { + bn_mul_comba8(&(t[n2]),t,&(t[n])); + bn_mul_comba8(r,a,b); + bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb); + memset(&(r[n2+tna+tnb]),0,sizeof(BN_ULONG)*(n2-tna-tnb)); + } + else + { + p= &(t[n2*2]); + bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p); + bn_mul_recursive(r,a,b,n,0,0,p); + i=n/2; + /* If there is only a bottom half to the number, + * just do it */ + if (tna > tnb) + j = tna - i; + else + j = tnb - i; + if (j == 0) + { + bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]), + i,tna-i,tnb-i,p); + memset(&(r[n2+i*2]),0,sizeof(BN_ULONG)*(n2-i*2)); + } + else if (j > 0) /* eg, n == 16, i == 8 and tn == 11 */ + { + bn_mul_part_recursive(&(r[n2]),&(a[n]),&(b[n]), + i,tna-i,tnb-i,p); + memset(&(r[n2+tna+tnb]),0, + sizeof(BN_ULONG)*(n2-tna-tnb)); + } + else /* (j < 0) eg, n == 16, i == 8 and tn == 5 */ + { + memset(&(r[n2]),0,sizeof(BN_ULONG)*n2); + if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL + && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL) + { + bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb); + } + else + { + for (;;) + { + i/=2; + /* these simplified conditions work + * exclusively because difference + * between tna and tnb is 1 or 0 */ + if (i < tna || i < tnb) + { + bn_mul_part_recursive(&(r[n2]), + &(a[n]),&(b[n]), + i,tna-i,tnb-i,p); + break; + } + else if (i == tna || i == tnb) + { + bn_mul_recursive(&(r[n2]), + &(a[n]),&(b[n]), + i,tna-i,tnb-i,p); + break; + } + } + } + } + } + + /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign + * r[10] holds (a[0]*b[0]) + * r[32] holds (b[1]*b[1]) + */ + + c1=(int)(bn_add_words(t,r,&(r[n2]),n2)); + + if (neg) /* if t[32] is negative */ + { + c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2)); + } + else + { + /* Might have a carry */ + c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2)); + } + + /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1]) + * r[10] holds (a[0]*b[0]) + * r[32] holds (b[1]*b[1]) + * c1 holds the carry bits + */ + c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2)); + if (c1) + { + p= &(r[n+n2]); + lo= *p; + ln=(lo+c1)&BN_MASK2; + *p=ln; + + /* The overflow will stop before we over write + * words we should not overwrite */ + if (ln < (BN_ULONG)c1) + { + do { + p++; + lo= *p; + ln=(lo+1)&BN_MASK2; + *p=ln; + } while (ln == 0); + } + } + } + +/* a and b must be the same size, which is n2. + * r needs to be n2 words and t needs to be n2*2 + */ +void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2, + BN_ULONG *t) + { + int n=n2/2; + +# ifdef BN_COUNT + fprintf(stderr," bn_mul_low_recursive %d * %d\n",n2,n2); +# endif + + bn_mul_recursive(r,a,b,n,0,0,&(t[0])); + if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL) + { + bn_mul_low_recursive(&(t[0]),&(a[0]),&(b[n]),n,&(t[n2])); + bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); + bn_mul_low_recursive(&(t[0]),&(a[n]),&(b[0]),n,&(t[n2])); + bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); + } + else + { + bn_mul_low_normal(&(t[0]),&(a[0]),&(b[n]),n); + bn_mul_low_normal(&(t[n]),&(a[n]),&(b[0]),n); + bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); + bn_add_words(&(r[n]),&(r[n]),&(t[n]),n); + } + } + +/* a and b must be the same size, which is n2. + * r needs to be n2 words and t needs to be n2*2 + * l is the low words of the output. + * t needs to be n2*3 + */ +void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2, + BN_ULONG *t) + { + int i,n; + int c1,c2; + int neg,oneg,zero; + BN_ULONG ll,lc,*lp,*mp; + +# ifdef BN_COUNT + fprintf(stderr," bn_mul_high %d * %d\n",n2,n2); +# endif + n=n2/2; + + /* Calculate (al-ah)*(bh-bl) */ + neg=zero=0; + c1=bn_cmp_words(&(a[0]),&(a[n]),n); + c2=bn_cmp_words(&(b[n]),&(b[0]),n); + switch (c1*3+c2) + { + case -4: + bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n); + bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n); + break; + case -3: + zero=1; + break; + case -2: + bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n); + bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n); + neg=1; + break; + case -1: + case 0: + case 1: + zero=1; + break; + case 2: + bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n); + bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n); + neg=1; + break; + case 3: + zero=1; + break; + case 4: + bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n); + bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n); + break; + } + + oneg=neg; + /* t[10] = (a[0]-a[1])*(b[1]-b[0]) */ + /* r[10] = (a[1]*b[1]) */ +# ifdef BN_MUL_COMBA + if (n == 8) + { + bn_mul_comba8(&(t[0]),&(r[0]),&(r[n])); + bn_mul_comba8(r,&(a[n]),&(b[n])); + } + else +# endif + { + bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,0,0,&(t[n2])); + bn_mul_recursive(r,&(a[n]),&(b[n]),n,0,0,&(t[n2])); + } + + /* s0 == low(al*bl) + * s1 == low(ah*bh)+low((al-ah)*(bh-bl))+low(al*bl)+high(al*bl) + * We know s0 and s1 so the only unknown is high(al*bl) + * high(al*bl) == s1 - low(ah*bh+s0+(al-ah)*(bh-bl)) + * high(al*bl) == s1 - (r[0]+l[0]+t[0]) + */ + if (l != NULL) + { + lp= &(t[n2+n]); + c1=(int)(bn_add_words(lp,&(r[0]),&(l[0]),n)); + } + else + { + c1=0; + lp= &(r[0]); + } + + if (neg) + neg=(int)(bn_sub_words(&(t[n2]),lp,&(t[0]),n)); + else + { + bn_add_words(&(t[n2]),lp,&(t[0]),n); + neg=0; + } + + if (l != NULL) + { + bn_sub_words(&(t[n2+n]),&(l[n]),&(t[n2]),n); + } + else + { + lp= &(t[n2+n]); + mp= &(t[n2]); + for (i=0; i<n; i++) + lp[i]=((~mp[i])+1)&BN_MASK2; + } + + /* s[0] = low(al*bl) + * t[3] = high(al*bl) + * t[10] = (a[0]-a[1])*(b[1]-b[0]) neg is the sign + * r[10] = (a[1]*b[1]) + */ + /* R[10] = al*bl + * R[21] = al*bl + ah*bh + (a[0]-a[1])*(b[1]-b[0]) + * R[32] = ah*bh + */ + /* R[1]=t[3]+l[0]+r[0](+-)t[0] (have carry/borrow) + * R[2]=r[0]+t[3]+r[1](+-)t[1] (have carry/borrow) + * R[3]=r[1]+(carry/borrow) + */ + if (l != NULL) + { + lp= &(t[n2]); + c1= (int)(bn_add_words(lp,&(t[n2+n]),&(l[0]),n)); + } + else + { + lp= &(t[n2+n]); + c1=0; + } + c1+=(int)(bn_add_words(&(t[n2]),lp, &(r[0]),n)); + if (oneg) + c1-=(int)(bn_sub_words(&(t[n2]),&(t[n2]),&(t[0]),n)); + else + c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),&(t[0]),n)); + + c2 =(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n2+n]),n)); + c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(r[n]),n)); + if (oneg) + c2-=(int)(bn_sub_words(&(r[0]),&(r[0]),&(t[n]),n)); + else + c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n]),n)); + + if (c1 != 0) /* Add starting at r[0], could be +ve or -ve */ + { + i=0; + if (c1 > 0) + { + lc=c1; + do { + ll=(r[i]+lc)&BN_MASK2; + r[i++]=ll; + lc=(lc > ll); + } while (lc); + } + else + { + lc= -c1; + do { + ll=r[i]; + r[i++]=(ll-lc)&BN_MASK2; + lc=(lc > ll); + } while (lc); + } + } + if (c2 != 0) /* Add starting at r[1] */ + { + i=n; + if (c2 > 0) + { + lc=c2; + do { + ll=(r[i]+lc)&BN_MASK2; + r[i++]=ll; + lc=(lc > ll); + } while (lc); + } + else + { + lc= -c2; + do { + ll=r[i]; + r[i++]=(ll-lc)&BN_MASK2; + lc=(lc > ll); + } while (lc); + } + } + } +#endif /* BN_RECURSION */ + +int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) + { + int ret=0; + int top,al,bl; + BIGNUM *rr; +#if defined(BN_MUL_COMBA) || defined(BN_RECURSION) + int i; +#endif +#ifdef BN_RECURSION + BIGNUM *t=NULL; + int j=0,k; +#endif + +#ifdef BN_COUNT + fprintf(stderr,"BN_mul %d * %d\n",a->top,b->top); +#endif + + bn_check_top(a); + bn_check_top(b); + bn_check_top(r); + + al=a->top; + bl=b->top; + + if ((al == 0) || (bl == 0)) + { + BN_zero(r); + return(1); + } + top=al+bl; + + BN_CTX_start(ctx); + if ((r == a) || (r == b)) + { + if ((rr = BN_CTX_get(ctx)) == NULL) goto err; + } + else + rr = r; + rr->neg=a->neg^b->neg; + +#if defined(BN_MUL_COMBA) || defined(BN_RECURSION) + i = al-bl; +#endif +#ifdef BN_MUL_COMBA + if (i == 0) + { +# if 0 + if (al == 4) + { + if (bn_wexpand(rr,8) == NULL) goto err; + rr->top=8; + bn_mul_comba4(rr->d,a->d,b->d); + goto end; + } +# endif + if (al == 8) + { + if (bn_wexpand(rr,16) == NULL) goto err; + rr->top=16; + bn_mul_comba8(rr->d,a->d,b->d); + goto end; + } + } +#endif /* BN_MUL_COMBA */ +#ifdef BN_RECURSION + if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL)) + { + if (i >= -1 && i <= 1) + { + /* Find out the power of two lower or equal + to the longest of the two numbers */ + if (i >= 0) + { + j = BN_num_bits_word((BN_ULONG)al); + } + if (i == -1) + { + j = BN_num_bits_word((BN_ULONG)bl); + } + j = 1<<(j-1); + assert(j <= al || j <= bl); + k = j+j; + t = BN_CTX_get(ctx); + if (t == NULL) + goto err; + if (al > j || bl > j) + { + if (bn_wexpand(t,k*4) == NULL) goto err; + if (bn_wexpand(rr,k*4) == NULL) goto err; + bn_mul_part_recursive(rr->d,a->d,b->d, + j,al-j,bl-j,t->d); + } + else /* al <= j || bl <= j */ + { + if (bn_wexpand(t,k*2) == NULL) goto err; + if (bn_wexpand(rr,k*2) == NULL) goto err; + bn_mul_recursive(rr->d,a->d,b->d, + j,al-j,bl-j,t->d); + } + rr->top=top; + goto end; + } +#if 0 + if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA)) + { + BIGNUM *tmp_bn = (BIGNUM *)b; + if (bn_wexpand(tmp_bn,al) == NULL) goto err; + tmp_bn->d[bl]=0; + bl++; + i--; + } + else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA)) + { + BIGNUM *tmp_bn = (BIGNUM *)a; + if (bn_wexpand(tmp_bn,bl) == NULL) goto err; + tmp_bn->d[al]=0; + al++; + i++; + } + if (i == 0) + { + /* symmetric and > 4 */ + /* 16 or larger */ + j=BN_num_bits_word((BN_ULONG)al); + j=1<<(j-1); + k=j+j; + t = BN_CTX_get(ctx); + if (al == j) /* exact multiple */ + { + if (bn_wexpand(t,k*2) == NULL) goto err; + if (bn_wexpand(rr,k*2) == NULL) goto err; + bn_mul_recursive(rr->d,a->d,b->d,al,t->d); + } + else + { + if (bn_wexpand(t,k*4) == NULL) goto err; + if (bn_wexpand(rr,k*4) == NULL) goto err; + bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d); + } + rr->top=top; + goto end; + } +#endif + } +#endif /* BN_RECURSION */ + if (bn_wexpand(rr,top) == NULL) goto err; + rr->top=top; + bn_mul_normal(rr->d,a->d,al,b->d,bl); + +#if defined(BN_MUL_COMBA) || defined(BN_RECURSION) +end: +#endif + bn_correct_top(rr); + if (r != rr) BN_copy(r,rr); + ret=1; +err: + bn_check_top(r); + BN_CTX_end(ctx); + return(ret); + } + +void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb) + { + BN_ULONG *rr; + +#ifdef BN_COUNT + fprintf(stderr," bn_mul_normal %d * %d\n",na,nb); +#endif + + if (na < nb) + { + int itmp; + BN_ULONG *ltmp; + + itmp=na; na=nb; nb=itmp; + ltmp=a; a=b; b=ltmp; + + } + rr= &(r[na]); + if (nb <= 0) + { + (void)bn_mul_words(r,a,na,0); + return; + } + else + rr[0]=bn_mul_words(r,a,na,b[0]); + + for (;;) + { + if (--nb <= 0) return; + rr[1]=bn_mul_add_words(&(r[1]),a,na,b[1]); + if (--nb <= 0) return; + rr[2]=bn_mul_add_words(&(r[2]),a,na,b[2]); + if (--nb <= 0) return; + rr[3]=bn_mul_add_words(&(r[3]),a,na,b[3]); + if (--nb <= 0) return; + rr[4]=bn_mul_add_words(&(r[4]),a,na,b[4]); + rr+=4; + r+=4; + b+=4; + } + } + +void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n) + { +#ifdef BN_COUNT + fprintf(stderr," bn_mul_low_normal %d * %d\n",n,n); +#endif + bn_mul_words(r,a,n,b[0]); + + for (;;) + { + if (--n <= 0) return; + bn_mul_add_words(&(r[1]),a,n,b[1]); + if (--n <= 0) return; + bn_mul_add_words(&(r[2]),a,n,b[2]); + if (--n <= 0) return; + bn_mul_add_words(&(r[3]),a,n,b[3]); + if (--n <= 0) return; + bn_mul_add_words(&(r[4]),a,n,b[4]); + r+=4; + b+=4; + } + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_nist.c b/Cryptlib/OpenSSL/crypto/bn/bn_nist.c new file mode 100755 index 00000000..2ca5b013 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_nist.c @@ -0,0 +1,836 @@ +/* crypto/bn/bn_nist.c */ +/* + * Written by Nils Larsch for the OpenSSL project + */ +/* ==================================================================== + * Copyright (c) 1998-2005 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). + * + */ + +#include "bn_lcl.h" +#include "cryptlib.h" + + +#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2 +#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2 +#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2 +#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2 +#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2 + +/* pre-computed tables are "carry-less" values of modulus*(i+1) */ +#if BN_BITS2 == 64 +static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { + {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL}, + {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL}, + {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL} + }; +static const BN_ULONG _nist_p_192_sqr[] = { + 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL, + 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL + }; +static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { + {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, + 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}, + {0x0000000000000002ULL,0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */ + }; +static const BN_ULONG _nist_p_224_sqr[] = { + 0x0000000000000001ULL,0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL, + 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL, + 0xFFFFFFFFFFFFFFFFULL + }; +static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { + {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFF00000001ULL}, + {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFE00000002ULL}, + {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFD00000003ULL}, + {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFC00000004ULL}, + {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFB00000005ULL}, + }; +static const BN_ULONG _nist_p_256_sqr[] = { + 0x0000000000000001ULL,0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL, + 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL, + 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL + }; +static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { + {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, + {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, + {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, + {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, + {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, + }; +static const BN_ULONG _nist_p_384_sqr[] = { + 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL, + 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL, + 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL + }; +static const BN_ULONG _nist_p_521[] = + {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0x00000000000001FFULL}; +static const BN_ULONG _nist_p_521_sqr[] = { + 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL, + 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL, + 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL + }; +#elif BN_BITS2 == 32 +static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { + {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF} + }; +static const BN_ULONG _nist_p_192_sqr[] = { + 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000, + 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF + }; +static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { + {0x00000001,0x00000000,0x00000000,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0x00000002,0x00000000,0x00000000,0xFFFFFFFE, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF} + }; +static const BN_ULONG _nist_p_224_sqr[] = { + 0x00000001,0x00000000,0x00000000,0xFFFFFFFE, + 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002, + 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF + }; +static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { + {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000, + 0x00000000,0x00000000,0x00000001,0xFFFFFFFF}, + {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001, + 0x00000000,0x00000000,0x00000002,0xFFFFFFFE}, + {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002, + 0x00000000,0x00000000,0x00000003,0xFFFFFFFD}, + {0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003, + 0x00000000,0x00000000,0x00000004,0xFFFFFFFC}, + {0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004, + 0x00000000,0x00000000,0x00000005,0xFFFFFFFB}, + }; +static const BN_ULONG _nist_p_256_sqr[] = { + 0x00000001,0x00000000,0x00000000,0xFFFFFFFE, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001, + 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001, + 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE + }; +static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { + {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + {0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, + }; +static const BN_ULONG _nist_p_384_sqr[] = { + 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE, + 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000, + 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF + }; +static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0x000001FF}; +static const BN_ULONG _nist_p_521_sqr[] = { + 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000, + 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000, + 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF + }; +#else +#error "unsupported BN_BITS2" +#endif + + +static const BIGNUM _bignum_nist_p_192 = + { + (BN_ULONG *)_nist_p_192[0], + BN_NIST_192_TOP, + BN_NIST_192_TOP, + 0, + BN_FLG_STATIC_DATA + }; + +static const BIGNUM _bignum_nist_p_224 = + { + (BN_ULONG *)_nist_p_224[0], + BN_NIST_224_TOP, + BN_NIST_224_TOP, + 0, + BN_FLG_STATIC_DATA + }; + +static const BIGNUM _bignum_nist_p_256 = + { + (BN_ULONG *)_nist_p_256[0], + BN_NIST_256_TOP, + BN_NIST_256_TOP, + 0, + BN_FLG_STATIC_DATA + }; + +static const BIGNUM _bignum_nist_p_384 = + { + (BN_ULONG *)_nist_p_384[0], + BN_NIST_384_TOP, + BN_NIST_384_TOP, + 0, + BN_FLG_STATIC_DATA + }; + +static const BIGNUM _bignum_nist_p_521 = + { + (BN_ULONG *)_nist_p_521, + BN_NIST_521_TOP, + BN_NIST_521_TOP, + 0, + BN_FLG_STATIC_DATA + }; + + +const BIGNUM *BN_get0_nist_prime_192(void) + { + return &_bignum_nist_p_192; + } + +const BIGNUM *BN_get0_nist_prime_224(void) + { + return &_bignum_nist_p_224; + } + +const BIGNUM *BN_get0_nist_prime_256(void) + { + return &_bignum_nist_p_256; + } + +const BIGNUM *BN_get0_nist_prime_384(void) + { + return &_bignum_nist_p_384; + } + +const BIGNUM *BN_get0_nist_prime_521(void) + { + return &_bignum_nist_p_521; + } + + +static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max) + { + int i; + BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); + +#ifdef BN_DEBUG + OPENSSL_assert(top <= max); +#endif + for (i = (top); i != 0; i--) + *_tmp1++ = *_tmp2++; + for (i = (max) - (top); i != 0; i--) + *_tmp1++ = (BN_ULONG) 0; + } + +static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top) + { + int i; + BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); + for (i = (top); i != 0; i--) + *_tmp1++ = *_tmp2++; + } + +#if BN_BITS2 == 64 +#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; +#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; +/* + * two following macros are implemented under assumption that they + * are called in a sequence with *ascending* n, i.e. as they are... + */ +#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\ + :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l))) +#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0)); +#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n) +#else +#define bn_cp_64(to, n, from, m) \ + { \ + bn_cp_32(to, (n)*2, from, (m)*2); \ + bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ + } +#define bn_64_set_0(to, n) \ + { \ + bn_32_set_0(to, (n)*2); \ + bn_32_set_0(to, (n)*2+1); \ + } +#if BN_BITS2 == 32 +#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; +#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; +#endif +#endif /* BN_BITS2 != 64 */ + + +#define nist_set_192(to, from, a1, a2, a3) \ + { \ + bn_cp_64(to, 0, from, (a3) - 3) \ + bn_cp_64(to, 1, from, (a2) - 3) \ + bn_cp_64(to, 2, from, (a1) - 3) \ + } + +int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int top = a->top, i; + int carry; + register BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_192_TOP], + buf[BN_NIST_192_TOP], + c_d[BN_NIST_192_TOP], + *res; + size_t mask; + static const BIGNUM _bignum_nist_p_192_sqr = { + (BN_ULONG *)_nist_p_192_sqr, + sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]), + sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]), + 0,BN_FLG_STATIC_DATA }; + + field = &_bignum_nist_p_192; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0) + return BN_nnmod(r, a, field, ctx); + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a) ? 1 : (BN_copy(r ,a) != NULL); + + if (r != a) + { + if (!bn_wexpand(r, BN_NIST_192_TOP)) + return 0; + r_d = r->d; + nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); + } + else + r_d = a_d; + + nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); + + nist_set_192(t_d, buf, 0, 3, 3); + carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); + nist_set_192(t_d, buf, 4, 4, 0); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); + nist_set_192(t_d, buf, 5, 5, 5) + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); + + if (carry > 0) + carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP); + else + carry = 1; + + /* + * we need 'if (carry==0 || result>=modulus) result-=modulus;' + * as comparison implies subtraction, we can write + * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;' + * this is what happens below, but without explicit if:-) a. + */ + mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP); + mask &= 0-(size_t)carry; + res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask)); + nist_cp_bn(r_d, res, BN_NIST_192_TOP); + r->top = BN_NIST_192_TOP; + bn_correct_top(r); + + return 1; + } + +typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int); + +#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ + { \ + bn_cp_32(to, 0, from, (a7) - 7) \ + bn_cp_32(to, 1, from, (a6) - 7) \ + bn_cp_32(to, 2, from, (a5) - 7) \ + bn_cp_32(to, 3, from, (a4) - 7) \ + bn_cp_32(to, 4, from, (a3) - 7) \ + bn_cp_32(to, 5, from, (a2) - 7) \ + bn_cp_32(to, 6, from, (a1) - 7) \ + } + +int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int top = a->top, i; + int carry; + BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_224_TOP], + buf[BN_NIST_224_TOP], + c_d[BN_NIST_224_TOP], + *res; + size_t mask; + union { bn_addsub_f f; size_t p; } u; + static const BIGNUM _bignum_nist_p_224_sqr = { + (BN_ULONG *)_nist_p_224_sqr, + sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]), + sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]), + 0,BN_FLG_STATIC_DATA }; + + + field = &_bignum_nist_p_224; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0) + return BN_nnmod(r, a, field, ctx); + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + if (r != a) + { + if (!bn_wexpand(r, BN_NIST_224_TOP)) + return 0; + r_d = r->d; + nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); + } + else + r_d = a_d; + +#if BN_BITS2==64 + /* copy upper 256 bits of 448 bit number ... */ + nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP); + /* ... and right shift by 32 to obtain upper 224 bits */ + nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8); + /* truncate lower part to 224 bits too */ + r_d[BN_NIST_224_TOP-1] &= BN_MASK2l; +#else + nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); +#endif + nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0); + carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); + nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); + nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); + nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); + +#if BN_BITS2==64 + carry = (int)(r_d[BN_NIST_224_TOP-1]>>32); +#endif + u.f = bn_sub_words; + if (carry > 0) + { + carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP); +#if BN_BITS2==64 + carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1; +#endif + } + else if (carry < 0) + { + /* it's a bit more comlicated logic in this case. + * if bn_add_words yields no carry, then result + * has to be adjusted by unconditionally *adding* + * the modulus. but if it does, then result has + * to be compared to the modulus and conditionally + * adjusted by *subtracting* the latter. */ + carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP); + mask = 0-(size_t)carry; + u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask); + } + else + carry = 1; + + /* otherwise it's effectively same as in BN_nist_mod_192... */ + mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP); + mask &= 0-(size_t)carry; + res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask)); + nist_cp_bn(r_d, res, BN_NIST_224_TOP); + r->top = BN_NIST_224_TOP; + bn_correct_top(r); + + return 1; + } + +#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ + { \ + bn_cp_32(to, 0, from, (a8) - 8) \ + bn_cp_32(to, 1, from, (a7) - 8) \ + bn_cp_32(to, 2, from, (a6) - 8) \ + bn_cp_32(to, 3, from, (a5) - 8) \ + bn_cp_32(to, 4, from, (a4) - 8) \ + bn_cp_32(to, 5, from, (a3) - 8) \ + bn_cp_32(to, 6, from, (a2) - 8) \ + bn_cp_32(to, 7, from, (a1) - 8) \ + } + +int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int i, top = a->top; + int carry = 0; + register BN_ULONG *a_d = a->d, *r_d; + BN_ULONG t_d[BN_NIST_256_TOP], + buf[BN_NIST_256_TOP], + c_d[BN_NIST_256_TOP], + *res; + size_t mask; + union { bn_addsub_f f; size_t p; } u; + static const BIGNUM _bignum_nist_p_256_sqr = { + (BN_ULONG *)_nist_p_256_sqr, + sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]), + sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]), + 0,BN_FLG_STATIC_DATA }; + + field = &_bignum_nist_p_256; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0) + return BN_nnmod(r, a, field, ctx); + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + if (r != a) + { + if (!bn_wexpand(r, BN_NIST_256_TOP)) + return 0; + r_d = r->d; + nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); + } + else + r_d = a_d; + + nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP); + + /*S1*/ + nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0); + /*S2*/ + nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0); + carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); + /* left shift */ + { + register BN_ULONG *ap,t,c; + ap = t_d; + c=0; + for (i = BN_NIST_256_TOP; i != 0; --i) + { + t= *ap; + *(ap++)=((t<<1)|c)&BN_MASK2; + c=(t & BN_TBIT)?1:0; + } + carry <<= 1; + carry |= c; + } + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*S3*/ + nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*S4*/ + nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*D1*/ + nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*D2*/ + nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*D3*/ + nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /*D4*/ + nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); + + /* see BN_nist_mod_224 for explanation */ + u.f = bn_sub_words; + if (carry > 0) + carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP); + else if (carry < 0) + { + carry = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP); + mask = 0-(size_t)carry; + u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask); + } + else + carry = 1; + + mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP); + mask &= 0-(size_t)carry; + res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask)); + nist_cp_bn(r_d, res, BN_NIST_256_TOP); + r->top = BN_NIST_256_TOP; + bn_correct_top(r); + + return 1; + } + +#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ + { \ + bn_cp_32(to, 0, from, (a12) - 12) \ + bn_cp_32(to, 1, from, (a11) - 12) \ + bn_cp_32(to, 2, from, (a10) - 12) \ + bn_cp_32(to, 3, from, (a9) - 12) \ + bn_cp_32(to, 4, from, (a8) - 12) \ + bn_cp_32(to, 5, from, (a7) - 12) \ + bn_cp_32(to, 6, from, (a6) - 12) \ + bn_cp_32(to, 7, from, (a5) - 12) \ + bn_cp_32(to, 8, from, (a4) - 12) \ + bn_cp_32(to, 9, from, (a3) - 12) \ + bn_cp_32(to, 10, from, (a2) - 12) \ + bn_cp_32(to, 11, from, (a1) - 12) \ + } + +int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int i, top = a->top; + int carry = 0; + register BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_384_TOP], + buf[BN_NIST_384_TOP], + c_d[BN_NIST_384_TOP], + *res; + size_t mask; + union { bn_addsub_f f; size_t p; } u; + static const BIGNUM _bignum_nist_p_384_sqr = { + (BN_ULONG *)_nist_p_384_sqr, + sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]), + sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]), + 0,BN_FLG_STATIC_DATA }; + + + field = &_bignum_nist_p_384; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0) + return BN_nnmod(r, a, field, ctx); + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + if (r != a) + { + if (!bn_wexpand(r, BN_NIST_384_TOP)) + return 0; + r_d = r->d; + nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); + } + else + r_d = a_d; + + nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP); + + /*S1*/ + nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4); + /* left shift */ + { + register BN_ULONG *ap,t,c; + ap = t_d; + c=0; + for (i = 3; i != 0; --i) + { + t= *ap; + *(ap++)=((t<<1)|c)&BN_MASK2; + c=(t & BN_TBIT)?1:0; + } + *ap=c; + } + carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), + t_d, BN_NIST_256_TOP); + /*S2 */ + carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP); + /*S3*/ + nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*S4*/ + nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*S5*/ + nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*S6*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20); + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*D1*/ + nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*D2*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); + /*D3*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0); + carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); + + /* see BN_nist_mod_224 for explanation */ + u.f = bn_sub_words; + if (carry > 0) + carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP); + else if (carry < 0) + { + carry = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP); + mask = 0-(size_t)carry; + u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask); + } + else + carry = 1; + + mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP); + mask &= 0-(size_t)carry; + res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask)); + nist_cp_bn(r_d, res, BN_NIST_384_TOP); + r->top = BN_NIST_384_TOP; + bn_correct_top(r); + + return 1; + } + +#define BN_NIST_521_RSHIFT (521%BN_BITS2) +#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) +#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) + +int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int top = a->top, i; + BN_ULONG *r_d, *a_d = a->d, + t_d[BN_NIST_521_TOP], + val,tmp,*res; + size_t mask; + static const BIGNUM _bignum_nist_p_521_sqr = { + (BN_ULONG *)_nist_p_521_sqr, + sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]), + sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]), + 0,BN_FLG_STATIC_DATA }; + + field = &_bignum_nist_p_521; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0) + return BN_nnmod(r, a, field, ctx); + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + if (r != a) + { + if (!bn_wexpand(r,BN_NIST_521_TOP)) + return 0; + r_d = r->d; + nist_cp_bn(r_d,a_d, BN_NIST_521_TOP); + } + else + r_d = a_d; + + /* upper 521 bits, copy ... */ + nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP); + /* ... and right shift */ + for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++) + { + tmp = val>>BN_NIST_521_RSHIFT; + val = t_d[i+1]; + t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2; + } + t_d[i] = val>>BN_NIST_521_RSHIFT; + /* lower 521 bits */ + r_d[i] &= BN_NIST_521_TOP_MASK; + + bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP); + mask = 0-(size_t)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP); + res = (BN_ULONG *)(((size_t)t_d&~mask) | ((size_t)r_d&mask)); + nist_cp_bn(r_d,res,BN_NIST_521_TOP); + r->top = BN_NIST_521_TOP; + bn_correct_top(r); + + return 1; + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_opt.c b/Cryptlib/OpenSSL/crypto/bn/bn_opt.c new file mode 100755 index 00000000..21cbb38f --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_opt.c @@ -0,0 +1,87 @@ +/* crypto/bn/bn_opt.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#ifndef BN_DEBUG +# undef NDEBUG /* avoid conflicting definitions */ +# define NDEBUG +#endif + +#include <assert.h> +#include <limits.h> +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +char *BN_options(void) + { + static int init=0; + static char data[16]; + + if (!init) + { + init++; +#ifdef BN_LLONG + BIO_snprintf(data,sizeof data,"bn(%d,%d)", + (int)sizeof(BN_ULLONG)*8,(int)sizeof(BN_ULONG)*8); +#else + BIO_snprintf(data,sizeof data,"bn(%d,%d)", + (int)sizeof(BN_ULONG)*8,(int)sizeof(BN_ULONG)*8); +#endif + } + return(data); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_prime.c b/Cryptlib/OpenSSL/crypto/bn/bn_prime.c new file mode 100755 index 00000000..7b25979d --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_prime.c @@ -0,0 +1,494 @@ +/* crypto/bn/bn_prime.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2001 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). + * + */ + +#include <stdio.h> +#include <time.h> +#include "cryptlib.h" +#include "bn_lcl.h" +#include <openssl/rand.h> + +/* NB: these functions have been "upgraded", the deprecated versions (which are + * compatibility wrappers using these functions) are in bn_depr.c. + * - Geoff + */ + +/* The quick sieve algorithm approach to weeding out primes is + * Philip Zimmermann's, as implemented in PGP. I have had a read of + * his comments and implemented my own version. + */ +#include "bn_prime.h" + +static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1, + const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont); +static int probable_prime(BIGNUM *rnd, int bits); +static int probable_prime_dh(BIGNUM *rnd, int bits, + const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx); +static int probable_prime_dh_safe(BIGNUM *rnd, int bits, + const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx); + +int BN_GENCB_call(BN_GENCB *cb, int a, int b) + { + /* No callback means continue */ + if(!cb) return 1; + switch(cb->ver) + { + case 1: + /* Deprecated-style callbacks */ + if(!cb->cb.cb_1) + return 1; + cb->cb.cb_1(a, b, cb->arg); + return 1; + case 2: + /* New-style callbacks */ + return cb->cb.cb_2(a, b, cb); + default: + break; + } + /* Unrecognised callback type */ + return 0; + } + +int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, + const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb) + { + BIGNUM *t; + int found=0; + int i,j,c1=0; + BN_CTX *ctx; + int checks = BN_prime_checks_for_size(bits); + + ctx=BN_CTX_new(); + if (ctx == NULL) goto err; + BN_CTX_start(ctx); + t = BN_CTX_get(ctx); + if(!t) goto err; +loop: + /* make a random number and set the top and bottom bits */ + if (add == NULL) + { + if (!probable_prime(ret,bits)) goto err; + } + else + { + if (safe) + { + if (!probable_prime_dh_safe(ret,bits,add,rem,ctx)) + goto err; + } + else + { + if (!probable_prime_dh(ret,bits,add,rem,ctx)) + goto err; + } + } + /* if (BN_mod_word(ret,(BN_ULONG)3) == 1) goto loop; */ + if(!BN_GENCB_call(cb, 0, c1++)) + /* aborted */ + goto err; + + if (!safe) + { + i=BN_is_prime_fasttest_ex(ret,checks,ctx,0,cb); + if (i == -1) goto err; + if (i == 0) goto loop; + } + else + { + /* for "safe prime" generation, + * check that (p-1)/2 is prime. + * Since a prime is odd, We just + * need to divide by 2 */ + if (!BN_rshift1(t,ret)) goto err; + + for (i=0; i<checks; i++) + { + j=BN_is_prime_fasttest_ex(ret,1,ctx,0,cb); + if (j == -1) goto err; + if (j == 0) goto loop; + + j=BN_is_prime_fasttest_ex(t,1,ctx,0,cb); + if (j == -1) goto err; + if (j == 0) goto loop; + + if(!BN_GENCB_call(cb, 2, c1-1)) + goto err; + /* We have a safe prime test pass */ + } + } + /* we have a prime :-) */ + found = 1; +err: + if (ctx != NULL) + { + BN_CTX_end(ctx); + BN_CTX_free(ctx); + } + bn_check_top(ret); + return found; + } + +int BN_is_prime_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed, BN_GENCB *cb) + { + return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb); + } + +int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed, + int do_trial_division, BN_GENCB *cb) + { + int i, j, ret = -1; + int k; + BN_CTX *ctx = NULL; + BIGNUM *A1, *A1_odd, *check; /* taken from ctx */ + BN_MONT_CTX *mont = NULL; + const BIGNUM *A = NULL; + + if (BN_cmp(a, BN_value_one()) <= 0) + return 0; + + if (checks == BN_prime_checks) + checks = BN_prime_checks_for_size(BN_num_bits(a)); + + /* first look for small factors */ + if (!BN_is_odd(a)) + /* a is even => a is prime if and only if a == 2 */ + return BN_is_word(a, 2); + if (do_trial_division) + { + for (i = 1; i < NUMPRIMES; i++) + if (BN_mod_word(a, primes[i]) == 0) + return 0; + if(!BN_GENCB_call(cb, 1, -1)) + goto err; + } + + if (ctx_passed != NULL) + ctx = ctx_passed; + else + if ((ctx=BN_CTX_new()) == NULL) + goto err; + BN_CTX_start(ctx); + + /* A := abs(a) */ + if (a->neg) + { + BIGNUM *t; + if ((t = BN_CTX_get(ctx)) == NULL) goto err; + BN_copy(t, a); + t->neg = 0; + A = t; + } + else + A = a; + A1 = BN_CTX_get(ctx); + A1_odd = BN_CTX_get(ctx); + check = BN_CTX_get(ctx); + if (check == NULL) goto err; + + /* compute A1 := A - 1 */ + if (!BN_copy(A1, A)) + goto err; + if (!BN_sub_word(A1, 1)) + goto err; + if (BN_is_zero(A1)) + { + ret = 0; + goto err; + } + + /* write A1 as A1_odd * 2^k */ + k = 1; + while (!BN_is_bit_set(A1, k)) + k++; + if (!BN_rshift(A1_odd, A1, k)) + goto err; + + /* Montgomery setup for computations mod A */ + mont = BN_MONT_CTX_new(); + if (mont == NULL) + goto err; + if (!BN_MONT_CTX_set(mont, A, ctx)) + goto err; + + for (i = 0; i < checks; i++) + { + if (!BN_pseudo_rand_range(check, A1)) + goto err; + if (!BN_add_word(check, 1)) + goto err; + /* now 1 <= check < A */ + + j = witness(check, A, A1, A1_odd, k, ctx, mont); + if (j == -1) goto err; + if (j) + { + ret=0; + goto err; + } + if(!BN_GENCB_call(cb, 1, i)) + goto err; + } + ret=1; +err: + if (ctx != NULL) + { + BN_CTX_end(ctx); + if (ctx_passed == NULL) + BN_CTX_free(ctx); + } + if (mont != NULL) + BN_MONT_CTX_free(mont); + + return(ret); + } + +static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1, + const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont) + { + if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */ + return -1; + if (BN_is_one(w)) + return 0; /* probably prime */ + if (BN_cmp(w, a1) == 0) + return 0; /* w == -1 (mod a), 'a' is probably prime */ + while (--k) + { + if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */ + return -1; + if (BN_is_one(w)) + return 1; /* 'a' is composite, otherwise a previous 'w' would + * have been == -1 (mod 'a') */ + if (BN_cmp(w, a1) == 0) + return 0; /* w == -1 (mod a), 'a' is probably prime */ + } + /* If we get here, 'w' is the (a-1)/2-th power of the original 'w', + * and it is neither -1 nor +1 -- so 'a' cannot be prime */ + bn_check_top(w); + return 1; + } + +static int probable_prime(BIGNUM *rnd, int bits) + { + int i; + prime_t mods[NUMPRIMES]; + BN_ULONG delta,maxdelta; + +again: + if (!BN_rand(rnd,bits,1,1)) return(0); + /* we now have a random number 'rand' to test. */ + for (i=1; i<NUMPRIMES; i++) + mods[i]=(prime_t)BN_mod_word(rnd,(BN_ULONG)primes[i]); + maxdelta=BN_MASK2 - primes[NUMPRIMES-1]; + delta=0; + loop: for (i=1; i<NUMPRIMES; i++) + { + /* check that rnd is not a prime and also + * that gcd(rnd-1,primes) == 1 (except for 2) */ + if (((mods[i]+delta)%primes[i]) <= 1) + { + delta+=2; + if (delta > maxdelta) goto again; + goto loop; + } + } + if (!BN_add_word(rnd,delta)) return(0); + bn_check_top(rnd); + return(1); + } + +static int probable_prime_dh(BIGNUM *rnd, int bits, + const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx) + { + int i,ret=0; + BIGNUM *t1; + + BN_CTX_start(ctx); + if ((t1 = BN_CTX_get(ctx)) == NULL) goto err; + + if (!BN_rand(rnd,bits,0,1)) goto err; + + /* we need ((rnd-rem) % add) == 0 */ + + if (!BN_mod(t1,rnd,add,ctx)) goto err; + if (!BN_sub(rnd,rnd,t1)) goto err; + if (rem == NULL) + { if (!BN_add_word(rnd,1)) goto err; } + else + { if (!BN_add(rnd,rnd,rem)) goto err; } + + /* we now have a random number 'rand' to test. */ + + loop: for (i=1; i<NUMPRIMES; i++) + { + /* check that rnd is a prime */ + if (BN_mod_word(rnd,(BN_ULONG)primes[i]) <= 1) + { + if (!BN_add(rnd,rnd,add)) goto err; + goto loop; + } + } + ret=1; +err: + BN_CTX_end(ctx); + bn_check_top(rnd); + return(ret); + } + +static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd, + const BIGNUM *rem, BN_CTX *ctx) + { + int i,ret=0; + BIGNUM *t1,*qadd,*q; + + bits--; + BN_CTX_start(ctx); + t1 = BN_CTX_get(ctx); + q = BN_CTX_get(ctx); + qadd = BN_CTX_get(ctx); + if (qadd == NULL) goto err; + + if (!BN_rshift1(qadd,padd)) goto err; + + if (!BN_rand(q,bits,0,1)) goto err; + + /* we need ((rnd-rem) % add) == 0 */ + if (!BN_mod(t1,q,qadd,ctx)) goto err; + if (!BN_sub(q,q,t1)) goto err; + if (rem == NULL) + { if (!BN_add_word(q,1)) goto err; } + else + { + if (!BN_rshift1(t1,rem)) goto err; + if (!BN_add(q,q,t1)) goto err; + } + + /* we now have a random number 'rand' to test. */ + if (!BN_lshift1(p,q)) goto err; + if (!BN_add_word(p,1)) goto err; + + loop: for (i=1; i<NUMPRIMES; i++) + { + /* check that p and q are prime */ + /* check that for p and q + * gcd(p-1,primes) == 1 (except for 2) */ + if ( (BN_mod_word(p,(BN_ULONG)primes[i]) == 0) || + (BN_mod_word(q,(BN_ULONG)primes[i]) == 0)) + { + if (!BN_add(p,p,padd)) goto err; + if (!BN_add(q,q,qadd)) goto err; + goto loop; + } + } + ret=1; +err: + BN_CTX_end(ctx); + bn_check_top(p); + return(ret); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_prime.h b/Cryptlib/OpenSSL/crypto/bn/bn_prime.h new file mode 100644 index 00000000..51d2194f --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_prime.h @@ -0,0 +1,327 @@ +/* Auto generated by bn_prime.pl */ +/* Copyright (C) 1995-1998 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.] + */ + +#ifndef EIGHT_BIT +#define NUMPRIMES 2048 +typedef unsigned short prime_t; +#else +#define NUMPRIMES 54 +typedef unsigned char prime_t; +#endif +static const prime_t primes[NUMPRIMES]= + { + 2, 3, 5, 7, 11, 13, 17, 19, + 23, 29, 31, 37, 41, 43, 47, 53, + 59, 61, 67, 71, 73, 79, 83, 89, + 97, 101, 103, 107, 109, 113, 127, 131, + 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, + 227, 229, 233, 239, 241, 251, +#ifndef EIGHT_BIT + 257, 263, + 269, 271, 277, 281, 283, 293, 307, 311, + 313, 317, 331, 337, 347, 349, 353, 359, + 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, + 461, 463, 467, 479, 487, 491, 499, 503, + 509, 521, 523, 541, 547, 557, 563, 569, + 571, 577, 587, 593, 599, 601, 607, 613, + 617, 619, 631, 641, 643, 647, 653, 659, + 661, 673, 677, 683, 691, 701, 709, 719, + 727, 733, 739, 743, 751, 757, 761, 769, + 773, 787, 797, 809, 811, 821, 823, 827, + 829, 839, 853, 857, 859, 863, 877, 881, + 883, 887, 907, 911, 919, 929, 937, 941, + 947, 953, 967, 971, 977, 983, 991, 997, + 1009,1013,1019,1021,1031,1033,1039,1049, + 1051,1061,1063,1069,1087,1091,1093,1097, + 1103,1109,1117,1123,1129,1151,1153,1163, + 1171,1181,1187,1193,1201,1213,1217,1223, + 1229,1231,1237,1249,1259,1277,1279,1283, + 1289,1291,1297,1301,1303,1307,1319,1321, + 1327,1361,1367,1373,1381,1399,1409,1423, + 1427,1429,1433,1439,1447,1451,1453,1459, + 1471,1481,1483,1487,1489,1493,1499,1511, + 1523,1531,1543,1549,1553,1559,1567,1571, + 1579,1583,1597,1601,1607,1609,1613,1619, + 1621,1627,1637,1657,1663,1667,1669,1693, + 1697,1699,1709,1721,1723,1733,1741,1747, + 1753,1759,1777,1783,1787,1789,1801,1811, + 1823,1831,1847,1861,1867,1871,1873,1877, + 1879,1889,1901,1907,1913,1931,1933,1949, + 1951,1973,1979,1987,1993,1997,1999,2003, + 2011,2017,2027,2029,2039,2053,2063,2069, + 2081,2083,2087,2089,2099,2111,2113,2129, + 2131,2137,2141,2143,2153,2161,2179,2203, + 2207,2213,2221,2237,2239,2243,2251,2267, + 2269,2273,2281,2287,2293,2297,2309,2311, + 2333,2339,2341,2347,2351,2357,2371,2377, + 2381,2383,2389,2393,2399,2411,2417,2423, + 2437,2441,2447,2459,2467,2473,2477,2503, + 2521,2531,2539,2543,2549,2551,2557,2579, + 2591,2593,2609,2617,2621,2633,2647,2657, + 2659,2663,2671,2677,2683,2687,2689,2693, + 2699,2707,2711,2713,2719,2729,2731,2741, + 2749,2753,2767,2777,2789,2791,2797,2801, + 2803,2819,2833,2837,2843,2851,2857,2861, + 2879,2887,2897,2903,2909,2917,2927,2939, + 2953,2957,2963,2969,2971,2999,3001,3011, + 3019,3023,3037,3041,3049,3061,3067,3079, + 3083,3089,3109,3119,3121,3137,3163,3167, + 3169,3181,3187,3191,3203,3209,3217,3221, + 3229,3251,3253,3257,3259,3271,3299,3301, + 3307,3313,3319,3323,3329,3331,3343,3347, + 3359,3361,3371,3373,3389,3391,3407,3413, + 3433,3449,3457,3461,3463,3467,3469,3491, + 3499,3511,3517,3527,3529,3533,3539,3541, + 3547,3557,3559,3571,3581,3583,3593,3607, + 3613,3617,3623,3631,3637,3643,3659,3671, + 3673,3677,3691,3697,3701,3709,3719,3727, + 3733,3739,3761,3767,3769,3779,3793,3797, + 3803,3821,3823,3833,3847,3851,3853,3863, + 3877,3881,3889,3907,3911,3917,3919,3923, + 3929,3931,3943,3947,3967,3989,4001,4003, + 4007,4013,4019,4021,4027,4049,4051,4057, + 4073,4079,4091,4093,4099,4111,4127,4129, + 4133,4139,4153,4157,4159,4177,4201,4211, + 4217,4219,4229,4231,4241,4243,4253,4259, + 4261,4271,4273,4283,4289,4297,4327,4337, + 4339,4349,4357,4363,4373,4391,4397,4409, + 4421,4423,4441,4447,4451,4457,4463,4481, + 4483,4493,4507,4513,4517,4519,4523,4547, + 4549,4561,4567,4583,4591,4597,4603,4621, + 4637,4639,4643,4649,4651,4657,4663,4673, + 4679,4691,4703,4721,4723,4729,4733,4751, + 4759,4783,4787,4789,4793,4799,4801,4813, + 4817,4831,4861,4871,4877,4889,4903,4909, + 4919,4931,4933,4937,4943,4951,4957,4967, + 4969,4973,4987,4993,4999,5003,5009,5011, + 5021,5023,5039,5051,5059,5077,5081,5087, + 5099,5101,5107,5113,5119,5147,5153,5167, + 5171,5179,5189,5197,5209,5227,5231,5233, + 5237,5261,5273,5279,5281,5297,5303,5309, + 5323,5333,5347,5351,5381,5387,5393,5399, + 5407,5413,5417,5419,5431,5437,5441,5443, + 5449,5471,5477,5479,5483,5501,5503,5507, + 5519,5521,5527,5531,5557,5563,5569,5573, + 5581,5591,5623,5639,5641,5647,5651,5653, + 5657,5659,5669,5683,5689,5693,5701,5711, + 5717,5737,5741,5743,5749,5779,5783,5791, + 5801,5807,5813,5821,5827,5839,5843,5849, + 5851,5857,5861,5867,5869,5879,5881,5897, + 5903,5923,5927,5939,5953,5981,5987,6007, + 6011,6029,6037,6043,6047,6053,6067,6073, + 6079,6089,6091,6101,6113,6121,6131,6133, + 6143,6151,6163,6173,6197,6199,6203,6211, + 6217,6221,6229,6247,6257,6263,6269,6271, + 6277,6287,6299,6301,6311,6317,6323,6329, + 6337,6343,6353,6359,6361,6367,6373,6379, + 6389,6397,6421,6427,6449,6451,6469,6473, + 6481,6491,6521,6529,6547,6551,6553,6563, + 6569,6571,6577,6581,6599,6607,6619,6637, + 6653,6659,6661,6673,6679,6689,6691,6701, + 6703,6709,6719,6733,6737,6761,6763,6779, + 6781,6791,6793,6803,6823,6827,6829,6833, + 6841,6857,6863,6869,6871,6883,6899,6907, + 6911,6917,6947,6949,6959,6961,6967,6971, + 6977,6983,6991,6997,7001,7013,7019,7027, + 7039,7043,7057,7069,7079,7103,7109,7121, + 7127,7129,7151,7159,7177,7187,7193,7207, + 7211,7213,7219,7229,7237,7243,7247,7253, + 7283,7297,7307,7309,7321,7331,7333,7349, + 7351,7369,7393,7411,7417,7433,7451,7457, + 7459,7477,7481,7487,7489,7499,7507,7517, + 7523,7529,7537,7541,7547,7549,7559,7561, + 7573,7577,7583,7589,7591,7603,7607,7621, + 7639,7643,7649,7669,7673,7681,7687,7691, + 7699,7703,7717,7723,7727,7741,7753,7757, + 7759,7789,7793,7817,7823,7829,7841,7853, + 7867,7873,7877,7879,7883,7901,7907,7919, + 7927,7933,7937,7949,7951,7963,7993,8009, + 8011,8017,8039,8053,8059,8069,8081,8087, + 8089,8093,8101,8111,8117,8123,8147,8161, + 8167,8171,8179,8191,8209,8219,8221,8231, + 8233,8237,8243,8263,8269,8273,8287,8291, + 8293,8297,8311,8317,8329,8353,8363,8369, + 8377,8387,8389,8419,8423,8429,8431,8443, + 8447,8461,8467,8501,8513,8521,8527,8537, + 8539,8543,8563,8573,8581,8597,8599,8609, + 8623,8627,8629,8641,8647,8663,8669,8677, + 8681,8689,8693,8699,8707,8713,8719,8731, + 8737,8741,8747,8753,8761,8779,8783,8803, + 8807,8819,8821,8831,8837,8839,8849,8861, + 8863,8867,8887,8893,8923,8929,8933,8941, + 8951,8963,8969,8971,8999,9001,9007,9011, + 9013,9029,9041,9043,9049,9059,9067,9091, + 9103,9109,9127,9133,9137,9151,9157,9161, + 9173,9181,9187,9199,9203,9209,9221,9227, + 9239,9241,9257,9277,9281,9283,9293,9311, + 9319,9323,9337,9341,9343,9349,9371,9377, + 9391,9397,9403,9413,9419,9421,9431,9433, + 9437,9439,9461,9463,9467,9473,9479,9491, + 9497,9511,9521,9533,9539,9547,9551,9587, + 9601,9613,9619,9623,9629,9631,9643,9649, + 9661,9677,9679,9689,9697,9719,9721,9733, + 9739,9743,9749,9767,9769,9781,9787,9791, + 9803,9811,9817,9829,9833,9839,9851,9857, + 9859,9871,9883,9887,9901,9907,9923,9929, + 9931,9941,9949,9967,9973,10007,10009,10037, + 10039,10061,10067,10069,10079,10091,10093,10099, + 10103,10111,10133,10139,10141,10151,10159,10163, + 10169,10177,10181,10193,10211,10223,10243,10247, + 10253,10259,10267,10271,10273,10289,10301,10303, + 10313,10321,10331,10333,10337,10343,10357,10369, + 10391,10399,10427,10429,10433,10453,10457,10459, + 10463,10477,10487,10499,10501,10513,10529,10531, + 10559,10567,10589,10597,10601,10607,10613,10627, + 10631,10639,10651,10657,10663,10667,10687,10691, + 10709,10711,10723,10729,10733,10739,10753,10771, + 10781,10789,10799,10831,10837,10847,10853,10859, + 10861,10867,10883,10889,10891,10903,10909,10937, + 10939,10949,10957,10973,10979,10987,10993,11003, + 11027,11047,11057,11059,11069,11071,11083,11087, + 11093,11113,11117,11119,11131,11149,11159,11161, + 11171,11173,11177,11197,11213,11239,11243,11251, + 11257,11261,11273,11279,11287,11299,11311,11317, + 11321,11329,11351,11353,11369,11383,11393,11399, + 11411,11423,11437,11443,11447,11467,11471,11483, + 11489,11491,11497,11503,11519,11527,11549,11551, + 11579,11587,11593,11597,11617,11621,11633,11657, + 11677,11681,11689,11699,11701,11717,11719,11731, + 11743,11777,11779,11783,11789,11801,11807,11813, + 11821,11827,11831,11833,11839,11863,11867,11887, + 11897,11903,11909,11923,11927,11933,11939,11941, + 11953,11959,11969,11971,11981,11987,12007,12011, + 12037,12041,12043,12049,12071,12073,12097,12101, + 12107,12109,12113,12119,12143,12149,12157,12161, + 12163,12197,12203,12211,12227,12239,12241,12251, + 12253,12263,12269,12277,12281,12289,12301,12323, + 12329,12343,12347,12373,12377,12379,12391,12401, + 12409,12413,12421,12433,12437,12451,12457,12473, + 12479,12487,12491,12497,12503,12511,12517,12527, + 12539,12541,12547,12553,12569,12577,12583,12589, + 12601,12611,12613,12619,12637,12641,12647,12653, + 12659,12671,12689,12697,12703,12713,12721,12739, + 12743,12757,12763,12781,12791,12799,12809,12821, + 12823,12829,12841,12853,12889,12893,12899,12907, + 12911,12917,12919,12923,12941,12953,12959,12967, + 12973,12979,12983,13001,13003,13007,13009,13033, + 13037,13043,13049,13063,13093,13099,13103,13109, + 13121,13127,13147,13151,13159,13163,13171,13177, + 13183,13187,13217,13219,13229,13241,13249,13259, + 13267,13291,13297,13309,13313,13327,13331,13337, + 13339,13367,13381,13397,13399,13411,13417,13421, + 13441,13451,13457,13463,13469,13477,13487,13499, + 13513,13523,13537,13553,13567,13577,13591,13597, + 13613,13619,13627,13633,13649,13669,13679,13681, + 13687,13691,13693,13697,13709,13711,13721,13723, + 13729,13751,13757,13759,13763,13781,13789,13799, + 13807,13829,13831,13841,13859,13873,13877,13879, + 13883,13901,13903,13907,13913,13921,13931,13933, + 13963,13967,13997,13999,14009,14011,14029,14033, + 14051,14057,14071,14081,14083,14087,14107,14143, + 14149,14153,14159,14173,14177,14197,14207,14221, + 14243,14249,14251,14281,14293,14303,14321,14323, + 14327,14341,14347,14369,14387,14389,14401,14407, + 14411,14419,14423,14431,14437,14447,14449,14461, + 14479,14489,14503,14519,14533,14537,14543,14549, + 14551,14557,14561,14563,14591,14593,14621,14627, + 14629,14633,14639,14653,14657,14669,14683,14699, + 14713,14717,14723,14731,14737,14741,14747,14753, + 14759,14767,14771,14779,14783,14797,14813,14821, + 14827,14831,14843,14851,14867,14869,14879,14887, + 14891,14897,14923,14929,14939,14947,14951,14957, + 14969,14983,15013,15017,15031,15053,15061,15073, + 15077,15083,15091,15101,15107,15121,15131,15137, + 15139,15149,15161,15173,15187,15193,15199,15217, + 15227,15233,15241,15259,15263,15269,15271,15277, + 15287,15289,15299,15307,15313,15319,15329,15331, + 15349,15359,15361,15373,15377,15383,15391,15401, + 15413,15427,15439,15443,15451,15461,15467,15473, + 15493,15497,15511,15527,15541,15551,15559,15569, + 15581,15583,15601,15607,15619,15629,15641,15643, + 15647,15649,15661,15667,15671,15679,15683,15727, + 15731,15733,15737,15739,15749,15761,15767,15773, + 15787,15791,15797,15803,15809,15817,15823,15859, + 15877,15881,15887,15889,15901,15907,15913,15919, + 15923,15937,15959,15971,15973,15991,16001,16007, + 16033,16057,16061,16063,16067,16069,16073,16087, + 16091,16097,16103,16111,16127,16139,16141,16183, + 16187,16189,16193,16217,16223,16229,16231,16249, + 16253,16267,16273,16301,16319,16333,16339,16349, + 16361,16363,16369,16381,16411,16417,16421,16427, + 16433,16447,16451,16453,16477,16481,16487,16493, + 16519,16529,16547,16553,16561,16567,16573,16603, + 16607,16619,16631,16633,16649,16651,16657,16661, + 16673,16691,16693,16699,16703,16729,16741,16747, + 16759,16763,16787,16811,16823,16829,16831,16843, + 16871,16879,16883,16889,16901,16903,16921,16927, + 16931,16937,16943,16963,16979,16981,16987,16993, + 17011,17021,17027,17029,17033,17041,17047,17053, + 17077,17093,17099,17107,17117,17123,17137,17159, + 17167,17183,17189,17191,17203,17207,17209,17231, + 17239,17257,17291,17293,17299,17317,17321,17327, + 17333,17341,17351,17359,17377,17383,17387,17389, + 17393,17401,17417,17419,17431,17443,17449,17467, + 17471,17477,17483,17489,17491,17497,17509,17519, + 17539,17551,17569,17573,17579,17581,17597,17599, + 17609,17623,17627,17657,17659,17669,17681,17683, + 17707,17713,17729,17737,17747,17749,17761,17783, + 17789,17791,17807,17827,17837,17839,17851,17863, +#endif + }; diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_print.c b/Cryptlib/OpenSSL/crypto/bn/bn_print.c new file mode 100755 index 00000000..810dde34 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_print.c @@ -0,0 +1,338 @@ +/* crypto/bn/bn_print.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include <ctype.h> +#include "cryptlib.h" +#include <openssl/buffer.h> +#include "bn_lcl.h" + +static const char Hex[]="0123456789ABCDEF"; + +/* Must 'OPENSSL_free' the returned data */ +char *BN_bn2hex(const BIGNUM *a) + { + int i,j,v,z=0; + char *buf; + char *p; + + buf=(char *)OPENSSL_malloc(a->top*BN_BYTES*2+2); + if (buf == NULL) + { + BNerr(BN_F_BN_BN2HEX,ERR_R_MALLOC_FAILURE); + goto err; + } + p=buf; + if (a->neg) *(p++)='-'; + if (BN_is_zero(a)) *(p++)='0'; + for (i=a->top-1; i >=0; i--) + { + for (j=BN_BITS2-8; j >= 0; j-=8) + { + /* strip leading zeros */ + v=((int)(a->d[i]>>(long)j))&0xff; + if (z || (v != 0)) + { + *(p++)=Hex[v>>4]; + *(p++)=Hex[v&0x0f]; + z=1; + } + } + } + *p='\0'; +err: + return(buf); + } + +/* Must 'OPENSSL_free' the returned data */ +char *BN_bn2dec(const BIGNUM *a) + { + int i=0,num, ok = 0; + char *buf=NULL; + char *p; + BIGNUM *t=NULL; + BN_ULONG *bn_data=NULL,*lp; + + /* get an upper bound for the length of the decimal integer + * num <= (BN_num_bits(a) + 1) * log(2) + * <= 3 * BN_num_bits(a) * 0.1001 + log(2) + 1 (rounding error) + * <= BN_num_bits(a)/10 + BN_num_bits/1000 + 1 + 1 + */ + i=BN_num_bits(a)*3; + num=(i/10+i/1000+1)+1; + bn_data=(BN_ULONG *)OPENSSL_malloc((num/BN_DEC_NUM+1)*sizeof(BN_ULONG)); + buf=(char *)OPENSSL_malloc(num+3); + if ((buf == NULL) || (bn_data == NULL)) + { + BNerr(BN_F_BN_BN2DEC,ERR_R_MALLOC_FAILURE); + goto err; + } + if ((t=BN_dup(a)) == NULL) goto err; + +#define BUF_REMAIN (num+3 - (size_t)(p - buf)) + p=buf; + lp=bn_data; + if (BN_is_zero(t)) + { + *(p++)='0'; + *(p++)='\0'; + } + else + { + if (BN_is_negative(t)) + *p++ = '-'; + + i=0; + while (!BN_is_zero(t)) + { + *lp=BN_div_word(t,BN_DEC_CONV); + lp++; + } + lp--; + /* We now have a series of blocks, BN_DEC_NUM chars + * in length, where the last one needs truncation. + * The blocks need to be reversed in order. */ + BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT1,*lp); + while (*p) p++; + while (lp != bn_data) + { + lp--; + BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT2,*lp); + while (*p) p++; + } + } + ok = 1; +err: + if (bn_data != NULL) OPENSSL_free(bn_data); + if (t != NULL) BN_free(t); + if (!ok && buf) + { + OPENSSL_free(buf); + buf = NULL; + } + + return(buf); + } + +int BN_hex2bn(BIGNUM **bn, const char *a) + { + BIGNUM *ret=NULL; + BN_ULONG l=0; + int neg=0,h,m,i,j,k,c; + int num; + + if ((a == NULL) || (*a == '\0')) return(0); + + if (*a == '-') { neg=1; a++; } + + for (i=0; isxdigit((unsigned char) a[i]); i++) + ; + + num=i+neg; + if (bn == NULL) return(num); + + /* a is the start of the hex digits, and it is 'i' long */ + if (*bn == NULL) + { + if ((ret=BN_new()) == NULL) return(0); + } + else + { + ret= *bn; + BN_zero(ret); + } + + /* i is the number of hex digests; */ + if (bn_expand(ret,i*4) == NULL) goto err; + + j=i; /* least significant 'hex' */ + m=0; + h=0; + while (j > 0) + { + m=((BN_BYTES*2) <= j)?(BN_BYTES*2):j; + l=0; + for (;;) + { + c=a[j-m]; + if ((c >= '0') && (c <= '9')) k=c-'0'; + else if ((c >= 'a') && (c <= 'f')) k=c-'a'+10; + else if ((c >= 'A') && (c <= 'F')) k=c-'A'+10; + else k=0; /* paranoia */ + l=(l<<4)|k; + + if (--m <= 0) + { + ret->d[h++]=l; + break; + } + } + j-=(BN_BYTES*2); + } + ret->top=h; + bn_correct_top(ret); + ret->neg=neg; + + *bn=ret; + bn_check_top(ret); + return(num); +err: + if (*bn == NULL) BN_free(ret); + return(0); + } + +int BN_dec2bn(BIGNUM **bn, const char *a) + { + BIGNUM *ret=NULL; + BN_ULONG l=0; + int neg=0,i,j; + int num; + + if ((a == NULL) || (*a == '\0')) return(0); + if (*a == '-') { neg=1; a++; } + + for (i=0; isdigit((unsigned char) a[i]); i++) + ; + + num=i+neg; + if (bn == NULL) return(num); + + /* a is the start of the digits, and it is 'i' long. + * We chop it into BN_DEC_NUM digits at a time */ + if (*bn == NULL) + { + if ((ret=BN_new()) == NULL) return(0); + } + else + { + ret= *bn; + BN_zero(ret); + } + + /* i is the number of digests, a bit of an over expand; */ + if (bn_expand(ret,i*4) == NULL) goto err; + + j=BN_DEC_NUM-(i%BN_DEC_NUM); + if (j == BN_DEC_NUM) j=0; + l=0; + while (*a) + { + l*=10; + l+= *a-'0'; + a++; + if (++j == BN_DEC_NUM) + { + BN_mul_word(ret,BN_DEC_CONV); + BN_add_word(ret,l); + l=0; + j=0; + } + } + ret->neg=neg; + + bn_correct_top(ret); + *bn=ret; + bn_check_top(ret); + return(num); +err: + if (*bn == NULL) BN_free(ret); + return(0); + } + +#ifndef OPENSSL_NO_BIO +#ifndef OPENSSL_NO_FP_API +int BN_print_fp(FILE *fp, const BIGNUM *a) + { + BIO *b; + int ret; + + if ((b=BIO_new(BIO_s_file())) == NULL) + return(0); + BIO_set_fp(b,fp,BIO_NOCLOSE); + ret=BN_print(b,a); + BIO_free(b); + return(ret); + } +#endif + +int BN_print(BIO *bp, const BIGNUM *a) + { + int i,j,v,z=0; + int ret=0; + + if ((a->neg) && (BIO_write(bp,"-",1) != 1)) goto end; + if (BN_is_zero(a) && (BIO_write(bp,"0",1) != 1)) goto end; + for (i=a->top-1; i >=0; i--) + { + for (j=BN_BITS2-4; j >= 0; j-=4) + { + /* strip leading zeros */ + v=((int)(a->d[i]>>(long)j))&0x0f; + if (z || (v != 0)) + { + if (BIO_write(bp,&(Hex[v]),1) != 1) + goto end; + z=1; + } + } + } + ret=1; +end: + return(ret); + } +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_rand.c b/Cryptlib/OpenSSL/crypto/bn/bn_rand.c new file mode 100755 index 00000000..b376c28f --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_rand.c @@ -0,0 +1,305 @@ +/* crypto/bn/bn_rand.c */ +/* Copyright (C) 1995-1998 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.] + */ +/* ==================================================================== + * Copyright (c) 1998-2001 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). + * + */ + +#include <stdio.h> +#include <time.h> +#include "cryptlib.h" +#include "bn_lcl.h" +#include <openssl/rand.h> + +static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom) + { + unsigned char *buf=NULL; + int ret=0,bit,bytes,mask; + time_t tim; + + if (bits == 0) + { + BN_zero(rnd); + return 1; + } + + bytes=(bits+7)/8; + bit=(bits-1)%8; + mask=0xff<<(bit+1); + + buf=(unsigned char *)OPENSSL_malloc(bytes); + if (buf == NULL) + { + BNerr(BN_F_BNRAND,ERR_R_MALLOC_FAILURE); + goto err; + } + + /* make a random number and set the top and bottom bits */ + time(&tim); + RAND_add(&tim,sizeof(tim),0.0); + + if (pseudorand) + { + if (RAND_pseudo_bytes(buf, bytes) == -1) + goto err; + } + else + { + if (RAND_bytes(buf, bytes) <= 0) + goto err; + } + +#if 1 + if (pseudorand == 2) + { + /* generate patterns that are more likely to trigger BN + library bugs */ + int i; + unsigned char c; + + for (i = 0; i < bytes; i++) + { + RAND_pseudo_bytes(&c, 1); + if (c >= 128 && i > 0) + buf[i] = buf[i-1]; + else if (c < 42) + buf[i] = 0; + else if (c < 84) + buf[i] = 255; + } + } +#endif + + if (top != -1) + { + if (top) + { + if (bit == 0) + { + buf[0]=1; + buf[1]|=0x80; + } + else + { + buf[0]|=(3<<(bit-1)); + } + } + else + { + buf[0]|=(1<<bit); + } + } + buf[0] &= ~mask; + if (bottom) /* set bottom bit if requested */ + buf[bytes-1]|=1; + if (!BN_bin2bn(buf,bytes,rnd)) goto err; + ret=1; +err: + if (buf != NULL) + { + OPENSSL_cleanse(buf,bytes); + OPENSSL_free(buf); + } + bn_check_top(rnd); + return(ret); + } + +int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) + { + return bnrand(0, rnd, bits, top, bottom); + } + +int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) + { + return bnrand(1, rnd, bits, top, bottom); + } + +#if 1 +int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom) + { + return bnrand(2, rnd, bits, top, bottom); + } +#endif + + +/* random number r: 0 <= r < range */ +static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range) + { + int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand; + int n; + int count = 100; + + if (range->neg || BN_is_zero(range)) + { + BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE); + return 0; + } + + n = BN_num_bits(range); /* n > 0 */ + + /* BN_is_bit_set(range, n - 1) always holds */ + + if (n == 1) + BN_zero(r); + else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3)) + { + /* range = 100..._2, + * so 3*range (= 11..._2) is exactly one bit longer than range */ + do + { + if (!bn_rand(r, n + 1, -1, 0)) return 0; + /* If r < 3*range, use r := r MOD range + * (which is either r, r - range, or r - 2*range). + * Otherwise, iterate once more. + * Since 3*range = 11..._2, each iteration succeeds with + * probability >= .75. */ + if (BN_cmp(r ,range) >= 0) + { + if (!BN_sub(r, r, range)) return 0; + if (BN_cmp(r, range) >= 0) + if (!BN_sub(r, r, range)) return 0; + } + + if (!--count) + { + BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS); + return 0; + } + + } + while (BN_cmp(r, range) >= 0); + } + else + { + do + { + /* range = 11..._2 or range = 101..._2 */ + if (!bn_rand(r, n, -1, 0)) return 0; + + if (!--count) + { + BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS); + return 0; + } + } + while (BN_cmp(r, range) >= 0); + } + + bn_check_top(r); + return 1; + } + + +int BN_rand_range(BIGNUM *r, const BIGNUM *range) + { + return bn_rand_range(0, r, range); + } + +int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range) + { + return bn_rand_range(1, r, range); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_recp.c b/Cryptlib/OpenSSL/crypto/bn/bn_recp.c new file mode 100755 index 00000000..2e8efb8d --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_recp.c @@ -0,0 +1,234 @@ +/* crypto/bn/bn_recp.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +void BN_RECP_CTX_init(BN_RECP_CTX *recp) + { + BN_init(&(recp->N)); + BN_init(&(recp->Nr)); + recp->num_bits=0; + recp->flags=0; + } + +BN_RECP_CTX *BN_RECP_CTX_new(void) + { + BN_RECP_CTX *ret; + + if ((ret=(BN_RECP_CTX *)OPENSSL_malloc(sizeof(BN_RECP_CTX))) == NULL) + return(NULL); + + BN_RECP_CTX_init(ret); + ret->flags=BN_FLG_MALLOCED; + return(ret); + } + +void BN_RECP_CTX_free(BN_RECP_CTX *recp) + { + if(recp == NULL) + return; + + BN_free(&(recp->N)); + BN_free(&(recp->Nr)); + if (recp->flags & BN_FLG_MALLOCED) + OPENSSL_free(recp); + } + +int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx) + { + if (!BN_copy(&(recp->N),d)) return 0; + BN_zero(&(recp->Nr)); + recp->num_bits=BN_num_bits(d); + recp->shift=0; + return(1); + } + +int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, + BN_RECP_CTX *recp, BN_CTX *ctx) + { + int ret=0; + BIGNUM *a; + const BIGNUM *ca; + + BN_CTX_start(ctx); + if ((a = BN_CTX_get(ctx)) == NULL) goto err; + if (y != NULL) + { + if (x == y) + { if (!BN_sqr(a,x,ctx)) goto err; } + else + { if (!BN_mul(a,x,y,ctx)) goto err; } + ca = a; + } + else + ca=x; /* Just do the mod */ + + ret = BN_div_recp(NULL,r,ca,recp,ctx); +err: + BN_CTX_end(ctx); + bn_check_top(r); + return(ret); + } + +int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, + BN_RECP_CTX *recp, BN_CTX *ctx) + { + int i,j,ret=0; + BIGNUM *a,*b,*d,*r; + + BN_CTX_start(ctx); + a=BN_CTX_get(ctx); + b=BN_CTX_get(ctx); + if (dv != NULL) + d=dv; + else + d=BN_CTX_get(ctx); + if (rem != NULL) + r=rem; + else + r=BN_CTX_get(ctx); + if (a == NULL || b == NULL || d == NULL || r == NULL) goto err; + + if (BN_ucmp(m,&(recp->N)) < 0) + { + BN_zero(d); + if (!BN_copy(r,m)) return 0; + BN_CTX_end(ctx); + return(1); + } + + /* We want the remainder + * Given input of ABCDEF / ab + * we need multiply ABCDEF by 3 digests of the reciprocal of ab + * + */ + + /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */ + i=BN_num_bits(m); + j=recp->num_bits<<1; + if (j>i) i=j; + + /* Nr := round(2^i / N) */ + if (i != recp->shift) + recp->shift=BN_reciprocal(&(recp->Nr),&(recp->N), + i,ctx); /* BN_reciprocal returns i, or -1 for an error */ + if (recp->shift == -1) goto err; + + /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))| + * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))| + * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)| + * = |m/N| + */ + if (!BN_rshift(a,m,recp->num_bits)) goto err; + if (!BN_mul(b,a,&(recp->Nr),ctx)) goto err; + if (!BN_rshift(d,b,i-recp->num_bits)) goto err; + d->neg=0; + + if (!BN_mul(b,&(recp->N),d,ctx)) goto err; + if (!BN_usub(r,m,b)) goto err; + r->neg=0; + +#if 1 + j=0; + while (BN_ucmp(r,&(recp->N)) >= 0) + { + if (j++ > 2) + { + BNerr(BN_F_BN_DIV_RECP,BN_R_BAD_RECIPROCAL); + goto err; + } + if (!BN_usub(r,r,&(recp->N))) goto err; + if (!BN_add_word(d,1)) goto err; + } +#endif + + r->neg=BN_is_zero(r)?0:m->neg; + d->neg=m->neg^recp->N.neg; + ret=1; +err: + BN_CTX_end(ctx); + bn_check_top(dv); + bn_check_top(rem); + return(ret); + } + +/* len is the expected size of the result + * We actually calculate with an extra word of precision, so + * we can do faster division if the remainder is not required. + */ +/* r := 2^len / m */ +int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx) + { + int ret= -1; + BIGNUM *t; + + BN_CTX_start(ctx); + if((t = BN_CTX_get(ctx)) == NULL) goto err; + + if (!BN_set_bit(t,len)) goto err; + + if (!BN_div(r,NULL,t,m,ctx)) goto err; + + ret=len; +err: + bn_check_top(r); + BN_CTX_end(ctx); + return(ret); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_shift.c b/Cryptlib/OpenSSL/crypto/bn/bn_shift.c new file mode 100755 index 00000000..c4d301af --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_shift.c @@ -0,0 +1,220 @@ +/* crypto/bn/bn_shift.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +int BN_lshift1(BIGNUM *r, const BIGNUM *a) + { + register BN_ULONG *ap,*rp,t,c; + int i; + + bn_check_top(r); + bn_check_top(a); + + if (r != a) + { + r->neg=a->neg; + if (bn_wexpand(r,a->top+1) == NULL) return(0); + r->top=a->top; + } + else + { + if (bn_wexpand(r,a->top+1) == NULL) return(0); + } + ap=a->d; + rp=r->d; + c=0; + for (i=0; i<a->top; i++) + { + t= *(ap++); + *(rp++)=((t<<1)|c)&BN_MASK2; + c=(t & BN_TBIT)?1:0; + } + if (c) + { + *rp=1; + r->top++; + } + bn_check_top(r); + return(1); + } + +int BN_rshift1(BIGNUM *r, const BIGNUM *a) + { + BN_ULONG *ap,*rp,t,c; + int i; + + bn_check_top(r); + bn_check_top(a); + + if (BN_is_zero(a)) + { + BN_zero(r); + return(1); + } + if (a != r) + { + if (bn_wexpand(r,a->top) == NULL) return(0); + r->top=a->top; + r->neg=a->neg; + } + ap=a->d; + rp=r->d; + c=0; + for (i=a->top-1; i>=0; i--) + { + t=ap[i]; + rp[i]=((t>>1)&BN_MASK2)|c; + c=(t&1)?BN_TBIT:0; + } + bn_correct_top(r); + bn_check_top(r); + return(1); + } + +int BN_lshift(BIGNUM *r, const BIGNUM *a, int n) + { + int i,nw,lb,rb; + BN_ULONG *t,*f; + BN_ULONG l; + + bn_check_top(r); + bn_check_top(a); + + r->neg=a->neg; + nw=n/BN_BITS2; + if (bn_wexpand(r,a->top+nw+1) == NULL) return(0); + lb=n%BN_BITS2; + rb=BN_BITS2-lb; + f=a->d; + t=r->d; + t[a->top+nw]=0; + if (lb == 0) + for (i=a->top-1; i>=0; i--) + t[nw+i]=f[i]; + else + for (i=a->top-1; i>=0; i--) + { + l=f[i]; + t[nw+i+1]|=(l>>rb)&BN_MASK2; + t[nw+i]=(l<<lb)&BN_MASK2; + } + memset(t,0,nw*sizeof(t[0])); +/* for (i=0; i<nw; i++) + t[i]=0;*/ + r->top=a->top+nw+1; + bn_correct_top(r); + bn_check_top(r); + return(1); + } + +int BN_rshift(BIGNUM *r, const BIGNUM *a, int n) + { + int i,j,nw,lb,rb; + BN_ULONG *t,*f; + BN_ULONG l,tmp; + + bn_check_top(r); + bn_check_top(a); + + nw=n/BN_BITS2; + rb=n%BN_BITS2; + lb=BN_BITS2-rb; + if (nw >= a->top || a->top == 0) + { + BN_zero(r); + return(1); + } + if (r != a) + { + r->neg=a->neg; + if (bn_wexpand(r,a->top-nw+1) == NULL) return(0); + } + else + { + if (n == 0) + return 1; /* or the copying loop will go berserk */ + } + + f= &(a->d[nw]); + t=r->d; + j=a->top-nw; + r->top=j; + + if (rb == 0) + { + for (i=j; i != 0; i--) + *(t++)= *(f++); + } + else + { + l= *(f++); + for (i=j-1; i != 0; i--) + { + tmp =(l>>rb)&BN_MASK2; + l= *(f++); + *(t++) =(tmp|(l<<lb))&BN_MASK2; + } + *(t++) =(l>>rb)&BN_MASK2; + } + bn_correct_top(r); + bn_check_top(r); + return(1); + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c b/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c new file mode 100755 index 00000000..270d0cd3 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_sqr.c @@ -0,0 +1,294 @@ +/* crypto/bn/bn_sqr.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +/* r must not be a */ +/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */ +int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) + { + int max,al; + int ret = 0; + BIGNUM *tmp,*rr; + +#ifdef BN_COUNT + fprintf(stderr,"BN_sqr %d * %d\n",a->top,a->top); +#endif + bn_check_top(a); + + al=a->top; + if (al <= 0) + { + r->top=0; + return 1; + } + + BN_CTX_start(ctx); + rr=(a != r) ? r : BN_CTX_get(ctx); + tmp=BN_CTX_get(ctx); + if (!rr || !tmp) goto err; + + max = 2 * al; /* Non-zero (from above) */ + if (bn_wexpand(rr,max) == NULL) goto err; + + if (al == 4) + { +#ifndef BN_SQR_COMBA + BN_ULONG t[8]; + bn_sqr_normal(rr->d,a->d,4,t); +#else + bn_sqr_comba4(rr->d,a->d); +#endif + } + else if (al == 8) + { +#ifndef BN_SQR_COMBA + BN_ULONG t[16]; + bn_sqr_normal(rr->d,a->d,8,t); +#else + bn_sqr_comba8(rr->d,a->d); +#endif + } + else + { +#if defined(BN_RECURSION) + if (al < BN_SQR_RECURSIVE_SIZE_NORMAL) + { + BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL*2]; + bn_sqr_normal(rr->d,a->d,al,t); + } + else + { + int j,k; + + j=BN_num_bits_word((BN_ULONG)al); + j=1<<(j-1); + k=j+j; + if (al == j) + { + if (bn_wexpand(tmp,k*2) == NULL) goto err; + bn_sqr_recursive(rr->d,a->d,al,tmp->d); + } + else + { + if (bn_wexpand(tmp,max) == NULL) goto err; + bn_sqr_normal(rr->d,a->d,al,tmp->d); + } + } +#else + if (bn_wexpand(tmp,max) == NULL) goto err; + bn_sqr_normal(rr->d,a->d,al,tmp->d); +#endif + } + + rr->neg=0; + /* If the most-significant half of the top word of 'a' is zero, then + * the square of 'a' will max-1 words. */ + if(a->d[al - 1] == (a->d[al - 1] & BN_MASK2l)) + rr->top = max - 1; + else + rr->top = max; + if (rr != r) BN_copy(r,rr); + ret = 1; + err: + bn_check_top(rr); + bn_check_top(tmp); + BN_CTX_end(ctx); + return(ret); + } + +/* tmp must have 2*n words */ +void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp) + { + int i,j,max; + const BN_ULONG *ap; + BN_ULONG *rp; + + max=n*2; + ap=a; + rp=r; + rp[0]=rp[max-1]=0; + rp++; + j=n; + + if (--j > 0) + { + ap++; + rp[j]=bn_mul_words(rp,ap,j,ap[-1]); + rp+=2; + } + + for (i=n-2; i>0; i--) + { + j--; + ap++; + rp[j]=bn_mul_add_words(rp,ap,j,ap[-1]); + rp+=2; + } + + bn_add_words(r,r,r,max); + + /* There will not be a carry */ + + bn_sqr_words(tmp,a,n); + + bn_add_words(r,r,tmp,max); + } + +#ifdef BN_RECURSION +/* r is 2*n words in size, + * a and b are both n words in size. (There's not actually a 'b' here ...) + * n must be a power of 2. + * We multiply and return the result. + * t must be 2*n words in size + * We calculate + * a[0]*b[0] + * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0]) + * a[1]*b[1] + */ +void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t) + { + int n=n2/2; + int zero,c1; + BN_ULONG ln,lo,*p; + +#ifdef BN_COUNT + fprintf(stderr," bn_sqr_recursive %d * %d\n",n2,n2); +#endif + if (n2 == 4) + { +#ifndef BN_SQR_COMBA + bn_sqr_normal(r,a,4,t); +#else + bn_sqr_comba4(r,a); +#endif + return; + } + else if (n2 == 8) + { +#ifndef BN_SQR_COMBA + bn_sqr_normal(r,a,8,t); +#else + bn_sqr_comba8(r,a); +#endif + return; + } + if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL) + { + bn_sqr_normal(r,a,n2,t); + return; + } + /* r=(a[0]-a[1])*(a[1]-a[0]) */ + c1=bn_cmp_words(a,&(a[n]),n); + zero=0; + if (c1 > 0) + bn_sub_words(t,a,&(a[n]),n); + else if (c1 < 0) + bn_sub_words(t,&(a[n]),a,n); + else + zero=1; + + /* The result will always be negative unless it is zero */ + p= &(t[n2*2]); + + if (!zero) + bn_sqr_recursive(&(t[n2]),t,n,p); + else + memset(&(t[n2]),0,n2*sizeof(BN_ULONG)); + bn_sqr_recursive(r,a,n,p); + bn_sqr_recursive(&(r[n2]),&(a[n]),n,p); + + /* t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero + * r[10] holds (a[0]*b[0]) + * r[32] holds (b[1]*b[1]) + */ + + c1=(int)(bn_add_words(t,r,&(r[n2]),n2)); + + /* t[32] is negative */ + c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2)); + + /* t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1]) + * r[10] holds (a[0]*a[0]) + * r[32] holds (a[1]*a[1]) + * c1 holds the carry bits + */ + c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2)); + if (c1) + { + p= &(r[n+n2]); + lo= *p; + ln=(lo+c1)&BN_MASK2; + *p=ln; + + /* The overflow will stop before we over write + * words we should not overwrite */ + if (ln < (BN_ULONG)c1) + { + do { + p++; + lo= *p; + ln=(lo+1)&BN_MASK2; + *p=ln; + } while (ln == 0); + } + } + } +#endif diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c b/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c new file mode 100755 index 00000000..6beaf9e5 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_sqrt.c @@ -0,0 +1,393 @@ +/* crypto/bn/bn_sqrt.c */ +/* Written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> + * and Bodo Moeller for the OpenSSL project. */ +/* ==================================================================== + * Copyright (c) 1998-2000 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). + * + */ + +#include "cryptlib.h" +#include "bn_lcl.h" + + +BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) +/* Returns 'ret' such that + * ret^2 == a (mod p), + * using the Tonelli/Shanks algorithm (cf. Henri Cohen, "A Course + * in Algebraic Computational Number Theory", algorithm 1.5.1). + * 'p' must be prime! + */ + { + BIGNUM *ret = in; + int err = 1; + int r; + BIGNUM *A, *b, *q, *t, *x, *y; + int e, i, j; + + if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) + { + if (BN_abs_is_word(p, 2)) + { + if (ret == NULL) + ret = BN_new(); + if (ret == NULL) + goto end; + if (!BN_set_word(ret, BN_is_bit_set(a, 0))) + { + if (ret != in) + BN_free(ret); + return NULL; + } + bn_check_top(ret); + return ret; + } + + BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME); + return(NULL); + } + + if (BN_is_zero(a) || BN_is_one(a)) + { + if (ret == NULL) + ret = BN_new(); + if (ret == NULL) + goto end; + if (!BN_set_word(ret, BN_is_one(a))) + { + if (ret != in) + BN_free(ret); + return NULL; + } + bn_check_top(ret); + return ret; + } + + BN_CTX_start(ctx); + A = BN_CTX_get(ctx); + b = BN_CTX_get(ctx); + q = BN_CTX_get(ctx); + t = BN_CTX_get(ctx); + x = BN_CTX_get(ctx); + y = BN_CTX_get(ctx); + if (y == NULL) goto end; + + if (ret == NULL) + ret = BN_new(); + if (ret == NULL) goto end; + + /* A = a mod p */ + if (!BN_nnmod(A, a, p, ctx)) goto end; + + /* now write |p| - 1 as 2^e*q where q is odd */ + e = 1; + while (!BN_is_bit_set(p, e)) + e++; + /* we'll set q later (if needed) */ + + if (e == 1) + { + /* The easy case: (|p|-1)/2 is odd, so 2 has an inverse + * modulo (|p|-1)/2, and square roots can be computed + * directly by modular exponentiation. + * We have + * 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2), + * so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1. + */ + if (!BN_rshift(q, p, 2)) goto end; + q->neg = 0; + if (!BN_add_word(q, 1)) goto end; + if (!BN_mod_exp(ret, A, q, p, ctx)) goto end; + err = 0; + goto vrfy; + } + + if (e == 2) + { + /* |p| == 5 (mod 8) + * + * In this case 2 is always a non-square since + * Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime. + * So if a really is a square, then 2*a is a non-square. + * Thus for + * b := (2*a)^((|p|-5)/8), + * i := (2*a)*b^2 + * we have + * i^2 = (2*a)^((1 + (|p|-5)/4)*2) + * = (2*a)^((p-1)/2) + * = -1; + * so if we set + * x := a*b*(i-1), + * then + * x^2 = a^2 * b^2 * (i^2 - 2*i + 1) + * = a^2 * b^2 * (-2*i) + * = a*(-i)*(2*a*b^2) + * = a*(-i)*i + * = a. + * + * (This is due to A.O.L. Atkin, + * <URL: http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>, + * November 1992.) + */ + + /* t := 2*a */ + if (!BN_mod_lshift1_quick(t, A, p)) goto end; + + /* b := (2*a)^((|p|-5)/8) */ + if (!BN_rshift(q, p, 3)) goto end; + q->neg = 0; + if (!BN_mod_exp(b, t, q, p, ctx)) goto end; + + /* y := b^2 */ + if (!BN_mod_sqr(y, b, p, ctx)) goto end; + + /* t := (2*a)*b^2 - 1*/ + if (!BN_mod_mul(t, t, y, p, ctx)) goto end; + if (!BN_sub_word(t, 1)) goto end; + + /* x = a*b*t */ + if (!BN_mod_mul(x, A, b, p, ctx)) goto end; + if (!BN_mod_mul(x, x, t, p, ctx)) goto end; + + if (!BN_copy(ret, x)) goto end; + err = 0; + goto vrfy; + } + + /* e > 2, so we really have to use the Tonelli/Shanks algorithm. + * First, find some y that is not a square. */ + if (!BN_copy(q, p)) goto end; /* use 'q' as temp */ + q->neg = 0; + i = 2; + do + { + /* For efficiency, try small numbers first; + * if this fails, try random numbers. + */ + if (i < 22) + { + if (!BN_set_word(y, i)) goto end; + } + else + { + if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0)) goto end; + if (BN_ucmp(y, p) >= 0) + { + if (!(p->neg ? BN_add : BN_sub)(y, y, p)) goto end; + } + /* now 0 <= y < |p| */ + if (BN_is_zero(y)) + if (!BN_set_word(y, i)) goto end; + } + + r = BN_kronecker(y, q, ctx); /* here 'q' is |p| */ + if (r < -1) goto end; + if (r == 0) + { + /* m divides p */ + BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME); + goto end; + } + } + while (r == 1 && ++i < 82); + + if (r != -1) + { + /* Many rounds and still no non-square -- this is more likely + * a bug than just bad luck. + * Even if p is not prime, we should have found some y + * such that r == -1. + */ + BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS); + goto end; + } + + /* Here's our actual 'q': */ + if (!BN_rshift(q, q, e)) goto end; + + /* Now that we have some non-square, we can find an element + * of order 2^e by computing its q'th power. */ + if (!BN_mod_exp(y, y, q, p, ctx)) goto end; + if (BN_is_one(y)) + { + BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME); + goto end; + } + + /* Now we know that (if p is indeed prime) there is an integer + * k, 0 <= k < 2^e, such that + * + * a^q * y^k == 1 (mod p). + * + * As a^q is a square and y is not, k must be even. + * q+1 is even, too, so there is an element + * + * X := a^((q+1)/2) * y^(k/2), + * + * and it satisfies + * + * X^2 = a^q * a * y^k + * = a, + * + * so it is the square root that we are looking for. + */ + + /* t := (q-1)/2 (note that q is odd) */ + if (!BN_rshift1(t, q)) goto end; + + /* x := a^((q-1)/2) */ + if (BN_is_zero(t)) /* special case: p = 2^e + 1 */ + { + if (!BN_nnmod(t, A, p, ctx)) goto end; + if (BN_is_zero(t)) + { + /* special case: a == 0 (mod p) */ + BN_zero(ret); + err = 0; + goto end; + } + else + if (!BN_one(x)) goto end; + } + else + { + if (!BN_mod_exp(x, A, t, p, ctx)) goto end; + if (BN_is_zero(x)) + { + /* special case: a == 0 (mod p) */ + BN_zero(ret); + err = 0; + goto end; + } + } + + /* b := a*x^2 (= a^q) */ + if (!BN_mod_sqr(b, x, p, ctx)) goto end; + if (!BN_mod_mul(b, b, A, p, ctx)) goto end; + + /* x := a*x (= a^((q+1)/2)) */ + if (!BN_mod_mul(x, x, A, p, ctx)) goto end; + + while (1) + { + /* Now b is a^q * y^k for some even k (0 <= k < 2^E + * where E refers to the original value of e, which we + * don't keep in a variable), and x is a^((q+1)/2) * y^(k/2). + * + * We have a*b = x^2, + * y^2^(e-1) = -1, + * b^2^(e-1) = 1. + */ + + if (BN_is_one(b)) + { + if (!BN_copy(ret, x)) goto end; + err = 0; + goto vrfy; + } + + + /* find smallest i such that b^(2^i) = 1 */ + i = 1; + if (!BN_mod_sqr(t, b, p, ctx)) goto end; + while (!BN_is_one(t)) + { + i++; + if (i == e) + { + BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE); + goto end; + } + if (!BN_mod_mul(t, t, t, p, ctx)) goto end; + } + + + /* t := y^2^(e - i - 1) */ + if (!BN_copy(t, y)) goto end; + for (j = e - i - 1; j > 0; j--) + { + if (!BN_mod_sqr(t, t, p, ctx)) goto end; + } + if (!BN_mod_mul(y, t, t, p, ctx)) goto end; + if (!BN_mod_mul(x, x, t, p, ctx)) goto end; + if (!BN_mod_mul(b, b, y, p, ctx)) goto end; + e = i; + } + + vrfy: + if (!err) + { + /* verify the result -- the input might have been not a square + * (test added in 0.9.8) */ + + if (!BN_mod_sqr(x, ret, p, ctx)) + err = 1; + + if (!err && 0 != BN_cmp(x, A)) + { + BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE); + err = 1; + } + } + + end: + if (err) + { + if (ret != NULL && ret != in) + { + BN_clear_free(ret); + } + ret = NULL; + } + BN_CTX_end(ctx); + bn_check_top(ret); + return ret; + } diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_word.c b/Cryptlib/OpenSSL/crypto/bn/bn_word.c new file mode 100755 index 00000000..ee7b87c4 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_word.c @@ -0,0 +1,247 @@ +/* crypto/bn/bn_word.c */ +/* Copyright (C) 1995-1998 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.] + */ + +#include <stdio.h> +#include "cryptlib.h" +#include "bn_lcl.h" + +BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w) + { +#ifndef BN_LLONG + BN_ULONG ret=0; +#else + BN_ULLONG ret=0; +#endif + int i; + + if (w == 0) + return (BN_ULONG)-1; + + bn_check_top(a); + w&=BN_MASK2; + for (i=a->top-1; i>=0; i--) + { +#ifndef BN_LLONG + ret=((ret<<BN_BITS4)|((a->d[i]>>BN_BITS4)&BN_MASK2l))%w; + ret=((ret<<BN_BITS4)|(a->d[i]&BN_MASK2l))%w; +#else + ret=(BN_ULLONG)(((ret<<(BN_ULLONG)BN_BITS2)|a->d[i])% + (BN_ULLONG)w); +#endif + } + return((BN_ULONG)ret); + } + +BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w) + { + BN_ULONG ret = 0; + int i, j; + + bn_check_top(a); + w &= BN_MASK2; + + if (!w) + /* actually this an error (division by zero) */ + return (BN_ULONG)-1; + if (a->top == 0) + return 0; + + /* normalize input (so bn_div_words doesn't complain) */ + j = BN_BITS2 - BN_num_bits_word(w); + w <<= j; + if (!BN_lshift(a, a, j)) + return (BN_ULONG)-1; + + for (i=a->top-1; i>=0; i--) + { + BN_ULONG l,d; + + l=a->d[i]; + d=bn_div_words(ret,l,w); + ret=(l-((d*w)&BN_MASK2))&BN_MASK2; + a->d[i]=d; + } + if ((a->top > 0) && (a->d[a->top-1] == 0)) + a->top--; + ret >>= j; + bn_check_top(a); + return(ret); + } + +int BN_add_word(BIGNUM *a, BN_ULONG w) + { + BN_ULONG l; + int i; + + bn_check_top(a); + w &= BN_MASK2; + + /* degenerate case: w is zero */ + if (!w) return 1; + /* degenerate case: a is zero */ + if(BN_is_zero(a)) return BN_set_word(a, w); + /* handle 'a' when negative */ + if (a->neg) + { + a->neg=0; + i=BN_sub_word(a,w); + if (!BN_is_zero(a)) + a->neg=!(a->neg); + return(i); + } + /* Only expand (and risk failing) if it's possibly necessary */ + if (((BN_ULONG)(a->d[a->top - 1] + 1) == 0) && + (bn_wexpand(a,a->top+1) == NULL)) + return(0); + i=0; + for (;;) + { + if (i >= a->top) + l=w; + else + l=(a->d[i]+w)&BN_MASK2; + a->d[i]=l; + if (w > l) + w=1; + else + break; + i++; + } + if (i >= a->top) + a->top++; + bn_check_top(a); + return(1); + } + +int BN_sub_word(BIGNUM *a, BN_ULONG w) + { + int i; + + bn_check_top(a); + w &= BN_MASK2; + + /* degenerate case: w is zero */ + if (!w) return 1; + /* degenerate case: a is zero */ + if(BN_is_zero(a)) + { + i = BN_set_word(a,w); + if (i != 0) + BN_set_negative(a, 1); + return i; + } + /* handle 'a' when negative */ + if (a->neg) + { + a->neg=0; + i=BN_add_word(a,w); + a->neg=1; + return(i); + } + + if ((a->top == 1) && (a->d[0] < w)) + { + a->d[0]=w-a->d[0]; + a->neg=1; + return(1); + } + i=0; + for (;;) + { + if (a->d[i] >= w) + { + a->d[i]-=w; + break; + } + else + { + a->d[i]=(a->d[i]-w)&BN_MASK2; + i++; + w=1; + } + } + if ((a->d[i] == 0) && (i == (a->top-1))) + a->top--; + bn_check_top(a); + return(1); + } + +int BN_mul_word(BIGNUM *a, BN_ULONG w) + { + BN_ULONG ll; + + bn_check_top(a); + w&=BN_MASK2; + if (a->top) + { + if (w == 0) + BN_zero(a); + else + { + ll=bn_mul_words(a->d,a->d,a->top,w); + if (ll) + { + if (bn_wexpand(a,a->top+1) == NULL) return(0); + a->d[a->top++]=ll; + } + } + } + bn_check_top(a); + return(1); + } + diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c b/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c new file mode 100755 index 00000000..04c5c874 --- /dev/null +++ b/Cryptlib/OpenSSL/crypto/bn/bn_x931p.c @@ -0,0 +1,272 @@ +/* bn_x931p.c */ +/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL + * project 2005. + */ +/* ==================================================================== + * Copyright (c) 2005 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 + * licensing@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). + * + */ + +#include <stdio.h> +#include <openssl/bn.h> + +/* X9.31 routines for prime derivation */ + +/* X9.31 prime derivation. This is used to generate the primes pi + * (p1, p2, q1, q2) from a parameter Xpi by checking successive odd + * integers. + */ + +static int bn_x931_derive_pi(BIGNUM *pi, const BIGNUM *Xpi, BN_CTX *ctx, + BN_GENCB *cb) + { + int i = 0; + if (!BN_copy(pi, Xpi)) + return 0; + if (!BN_is_odd(pi) && !BN_add_word(pi, 1)) + return 0; + for(;;) + { + i++; + BN_GENCB_call(cb, 0, i); + /* NB 27 MR is specificed in X9.31 */ + if (BN_is_prime_fasttest_ex(pi, 27, ctx, 1, cb)) + break; + if (!BN_add_word(pi, 2)) + return 0; + } + BN_GENCB_call(cb, 2, i); + return 1; + } + +/* This is the main X9.31 prime derivation function. From parameters + * Xp1, Xp2 and Xp derive the prime p. If the parameters p1 or p2 are + * not NULL they will be returned too: this is needed for testing. + */ + +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 ret = 0; + + BIGNUM *t, *p1p2, *pm1; + + /* Only even e supported */ + if (!BN_is_odd(e)) + return 0; + + BN_CTX_start(ctx); + if (!p1) + p1 = BN_CTX_get(ctx); + + if (!p2) + p2 = BN_CTX_get(ctx); + + t = BN_CTX_get(ctx); + + p1p2 = BN_CTX_get(ctx); + + pm1 = BN_CTX_get(ctx); + + if (!bn_x931_derive_pi(p1, Xp1, ctx, cb)) + goto err; + + if (!bn_x931_derive_pi(p2, Xp2, ctx, cb)) + goto err; + + if (!BN_mul(p1p2, p1, p2, ctx)) + goto err; + + /* First set p to value of Rp */ + + if (!BN_mod_inverse(p, p2, p1, ctx)) + goto err; + + if (!BN_mul(p, p, p2, ctx)) + goto err; + + if (!BN_mod_inverse(t, p1, p2, ctx)) + goto err; + + if (!BN_mul(t, t, p1, ctx)) + goto err; + + if (!BN_sub(p, p, t)) + goto err; + + if (p->neg && !BN_add(p, p, p1p2)) + goto err; + + /* p now equals Rp */ + + if (!BN_mod_sub(p, p, Xp, p1p2, ctx)) + goto err; + + if (!BN_add(p, p, Xp)) + goto err; + + /* p now equals Yp0 */ + + for (;;) + { + int i = 1; + BN_GENCB_call(cb, 0, i++); + if (!BN_copy(pm1, p)) + goto err; + if (!BN_sub_word(pm1, 1)) + goto err; + if (!BN_gcd(t, pm1, e, ctx)) + goto err; + if (BN_is_one(t) + /* X9.31 specifies 8 MR and 1 Lucas test or any prime test + * offering similar or better guarantees 50 MR is considerably + * better. + */ + && BN_is_prime_fasttest_ex(p, 50, ctx, 1, cb)) + break; + if (!BN_add(p, p, p1p2)) + goto err; + } + + BN_GENCB_call(cb, 3, 0); + + ret = 1; + + err: + + BN_CTX_end(ctx); + + return ret; + } + +/* Generate pair of paramters Xp, Xq for X9.31 prime generation. + * Note: nbits paramter is sum of number of bits in both. + */ + +int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx) + { + BIGNUM *t; + int i; + /* Number of bits for each prime is of the form + * 512+128s for s = 0, 1, ... + */ + if ((nbits < 1024) || (nbits & 0xff)) + return 0; + nbits >>= 1; + /* The random value Xp must be between sqrt(2) * 2^(nbits-1) and + * 2^nbits - 1. By setting the top two bits we ensure that the lower + * bound is exceeded. + */ + if (!BN_rand(Xp, nbits, 1, 0)) + return 0; + + BN_CTX_start(ctx); + t = BN_CTX_get(ctx); + + for (i = 0; i < 1000; i++) + { + if (!BN_rand(Xq, nbits, 1, 0)) + return 0; + /* Check that |Xp - Xq| > 2^(nbits - 100) */ + BN_sub(t, Xp, Xq); + if (BN_num_bits(t) > (nbits - 100)) + break; + } + + BN_CTX_end(ctx); + + if (i < 1000) + return 1; + + return 0; + + } + +/* Generate primes using X9.31 algorithm. Of the values p, p1, p2, Xp1 + * and Xp2 only 'p' needs to be non-NULL. If any of the others are not NULL + * the relevant parameter will be stored in it. + * + * Due to the fact that |Xp - Xq| > 2^(nbits - 100) must be satisfied Xp and Xq + * are generated using the previous function and supplied as input. + */ + +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) + { + int ret = 0; + + BN_CTX_start(ctx); + if (!Xp1) + Xp1 = BN_CTX_get(ctx); + if (!Xp2) + Xp2 = BN_CTX_get(ctx); + + if (!BN_rand(Xp1, 101, 0, 0)) + goto error; + if (!BN_rand(Xp2, 101, 0, 0)) + goto error; + if (!BN_X931_derive_prime_ex(p, p1, p2, Xp, Xp1, Xp2, e, ctx, cb)) + goto error; + + ret = 1; + + error: + BN_CTX_end(ctx); + + return ret; + + } + |
