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authorSteve Langasek <steve.langasek@ubuntu.com>2012-08-29 16:51:10 -0700
committerSteve Langasek <steve.langasek@canonical.com>2012-08-29 16:51:10 -0700
commit3e5756512efd00beca8e76ea70d5924056aa4714 (patch)
tree0ec3924871c45ea16b10e5ff536e21b7a77af7c9 /Cryptlib/OpenSSL/crypto/bn
downloadefi-boot-shim-3e5756512efd00beca8e76ea70d5924056aa4714.tar.gz
efi-boot-shim-3e5756512efd00beca8e76ea70d5924056aa4714.zip
Import upstream version 0~20120728.3df9e294
Diffstat (limited to 'Cryptlib/OpenSSL/crypto/bn')
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn.h855
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_add.c313
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_asm.c860
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_blind.c374
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_const.c402
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_ctx.c454
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_depr.c112
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_div.c650
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_err.c150
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_exp.c991
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_exp2.c312
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_gcd.c654
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_gf2m.c1097
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_kron.c184
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_lcl.h490
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_lib.c826
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_mod.c301
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_mont.c732
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_mpi.c130
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_mul.c1166
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_nist.c836
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_opt.c87
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_prime.c494
-rw-r--r--Cryptlib/OpenSSL/crypto/bn/bn_prime.h327
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_print.c338
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_rand.c305
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_recp.c234
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_shift.c220
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_sqr.c294
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_sqrt.c393
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_word.c247
-rwxr-xr-xCryptlib/OpenSSL/crypto/bn/bn_x931p.c272
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;
+
+ }
+