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+/* crypto/bn/bn.org */
+/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+/* WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING
+ *
+ * Always modify bn.org since bn.h is automatically generated from
+ * it during SSLeay configuration.
+ *
+ * WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING
+ */
+
+#ifndef HEADER_BN_H
+#define HEADER_BN_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#undef BN_LLONG
+
+#ifdef WIN32
+#define BN_LLONG /* This comment stops Configure mutilating things */
+#endif
+
+#define RECP_MUL_MOD
+#define MONT_MUL_MOD
+
+/* This next option uses the C libraries (2 word)/(1 word) function.
+ * If it is not defined, I use my C version (which is slower).
+ * The reason for this flag is that when the particular C compiler
+ * library routine is used, and the library is linked with a different
+ * compiler, the library is missing. This mostly happens when the
+ * library is built with gcc and then linked using nornal cc. This would
+ * be a common occurance because gcc normally produces code that is
+ * 2 times faster than system compilers for the big number stuff.
+ * For machines with only one compiler (or shared libraries), this should
+ * be on. Again this in only really a problem on machines
+ * using "long long's", are 32bit, and are not using my assember code. */
+#if defined(MSDOS) || defined(WINDOWS) || defined(linux)
+#define BN_DIV2W
+#endif
+
+/* Only one for the following should be defined */
+/* The prime number generation stuff may not work when
+ * EIGHT_BIT but I don't care since I've only used this mode
+ * for debuging the bignum libraries */
+#undef SIXTY_FOUR_BIT_LONG
+#undef SIXTY_FOUR_BIT
+#define THIRTY_TWO_BIT
+#undef SIXTEEN_BIT
+#undef EIGHT_BIT
+
+/* assuming long is 64bit - this is the DEC Alpha
+ * unsigned long long is only 64 bits :-(, don't define
+ * BN_LLONG for the DEC Alpha */
+#ifdef SIXTY_FOUR_BIT_LONG
+#define BN_ULLONG unsigned long long
+#define BN_ULONG unsigned long
+#define BN_LONG long
+#define BN_BITS 128
+#define BN_BYTES 8
+#define BN_BITS2 64
+#define BN_BITS4 32
+#define BN_MASK2 (0xffffffffffffffffL)
+#define BN_MASK2l (0xffffffffL)
+#define BN_MASK2h (0xffffffff00000000L)
+#define BN_MASK2h1 (0xffffffff80000000L)
+#define BN_TBIT (0x8000000000000000L)
+#endif
+
+#ifdef SIXTY_FOUR_BIT
+#undef BN_LLONG
+/* #define BN_ULLONG unsigned long long */
+#define BN_ULONG unsigned long long
+#define BN_LONG long long
+#define BN_BITS 128
+#define BN_BYTES 8
+#define BN_BITS2 64
+#define BN_BITS4 32
+#define BN_MASK2 (0xffffffffffffffffLL)
+#define BN_MASK2l (0xffffffffL)
+#define BN_MASK2h (0xffffffff00000000LL)
+#define BN_MASK2h1 (0xffffffff80000000LL)
+#define BN_TBIT (0x8000000000000000LL)
+#endif
+
+#ifdef THIRTY_TWO_BIT
+#ifdef WIN32
+#define BN_ULLONG unsigned _int64
+#else
+#define BN_ULLONG unsigned long long
+#endif
+#define BN_ULONG unsigned long
+#define BN_LONG long
+#define BN_BITS 64
+#define BN_BYTES 4
+#define BN_BITS2 32
+#define BN_BITS4 16
+#define BN_MASK2 (0xffffffffL)
+#define BN_MASK2l (0xffff)
+#define BN_MASK2h1 (0xffff8000L)
+#define BN_MASK2h (0xffff0000L)
+#define BN_TBIT (0x80000000L)
+#endif
+
+#ifdef SIXTEEN_BIT
+#ifndef BN_DIV2W
+#define BN_DIV2W
+#endif
+#define BN_ULLONG unsigned long
+#define BN_ULONG unsigned short
+#define BN_LONG short
+#define BN_BITS 32
+#define BN_BYTES 2
+#define BN_BITS2 16
+#define BN_BITS4 8
+#define BN_MASK2 (0xffff)
+#define BN_MASK2l (0xff)
+#define BN_MASK2h1 (0xff80)
+#define BN_MASK2h (0xff00)
+#define BN_TBIT (0x8000)
+#endif
+
+#ifdef EIGHT_BIT
+#ifndef BN_DIV2W
+#define BN_DIV2W
+#endif
+#define BN_ULLONG unsigned short
+#define BN_ULONG unsigned char
+#define BN_LONG char
+#define BN_BITS 16
+#define BN_BYTES 1
+#define BN_BITS2 8
+#define BN_BITS4 4
+#define BN_MASK2 (0xff)
+#define BN_MASK2l (0xf)
+#define BN_MASK2h1 (0xf8)
+#define BN_MASK2h (0xf0)
+#define BN_TBIT (0x80)
+#endif
+
+#define BN_DEFAULT_BITS 1280
+
+#ifdef BIGNUM
+#undef BIGNUM
+#endif
+
+typedef struct bignum_st
+ {
+ BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
+ int top; /* Index of last used d +1. */
+ /* The next are internal book keeping for bn_expand. */
+ int max; /* Size of the d array. */
+ int neg; /* one if the number is negative */
+ } BIGNUM;
+
+/* Used for temp variables */
+#define BN_CTX_NUM 12
+typedef struct bignum_ctx
+ {
+ int tos;
+ BIGNUM *bn[BN_CTX_NUM+1];
+ } BN_CTX;
+
+/* Used for montgomery multiplication */
+typedef struct bn_mont_ctx_st
+ {
+ int ri; /* number of bits in R */
+ BIGNUM *RR; /* used to convert to montgomery form */
+ BIGNUM *N; /* The modulus */
+ BIGNUM *Ni; /* The inverse of N */
+ BN_ULONG n0; /* word form of inverse, normally only one of
+ * Ni or n0 is defined */
+ } BN_MONT_CTX;
+
+#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
+ r,a,(mont)->RR,(mont),ctx)
+
+#define BN_prime_checks (5)
+
+#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
+#define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
+#define BN_is_zero(a) (((a)->top <= 1) && ((a)->d[0] == (BN_ULONG)0))
+#define BN_is_one(a) (BN_is_word((a),1))
+#define BN_is_odd(a) ((a)->d[0] & 1)
+#define BN_one(a) (BN_set_word((a),1))
+#define BN_zero(a) (BN_set_word((a),0))
+
+#define bn_fix_top(a) \
+ { \
+ BN_ULONG *fix_top_l; \
+ for (fix_top_l= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
+ if (*(fix_top_l--)) break; \
+ }
+
+#define bn_expand(n,b) ((((b)/BN_BITS2) <= (n)->max)?(n):bn_expand2((n),(b)))
+
+
+#ifndef NOPROTO
+BIGNUM *BN_value_one(void);
+char * BN_options(void);
+BN_CTX *BN_CTX_new(void);
+void BN_CTX_free(BN_CTX *c);
+int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
+int BN_num_bits(BIGNUM *a);
+int BN_num_bits_word(BN_ULONG);
+BIGNUM *BN_new(void);
+void BN_clear_free(BIGNUM *a);
+BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b);
+BIGNUM *BN_bin2bn(unsigned char *s,int len,BIGNUM *ret);
+int BN_bn2bin(BIGNUM *a, unsigned char *to);
+int BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+void bn_qsub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+void bn_qadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
+int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
+int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b);
+int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
+BN_ULONG BN_mod_word(BIGNUM *a, unsigned long w);
+BN_ULONG BN_div_word(BIGNUM *a, unsigned long w);
+int BN_add_word(BIGNUM *a, unsigned long w);
+int BN_set_word(BIGNUM *a, unsigned long w);
+unsigned long BN_get_word(BIGNUM *a);
+int BN_cmp(BIGNUM *a, BIGNUM *b);
+void BN_free(BIGNUM *a);
+int BN_is_bit_set(BIGNUM *a, int n);
+int BN_lshift(BIGNUM *r, BIGNUM *a, int n);
+int BN_lshift1(BIGNUM *r, BIGNUM *a);
+int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
+ BIGNUM *m,BN_CTX *ctx);
+int BN_mask_bits(BIGNUM *a,int n);
+int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y, BIGNUM *m,
+ BIGNUM *i, int nb, BN_CTX *ctx);
+int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m,
+ BN_CTX *ctx);
+#ifndef WIN16
+int BN_print_fp(FILE *fp, BIGNUM *a);
+#endif
+#ifdef HEADER_BIO_H
+int BN_print(BIO *fp, BIGNUM *a);
+#else
+int BN_print(char *fp, BIGNUM *a);
+#endif
+int BN_reciprocal(BIGNUM *r, BIGNUM *m, BN_CTX *ctx);
+int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
+int BN_rshift1(BIGNUM *r, BIGNUM *a);
+void BN_clear(BIGNUM *a);
+BIGNUM *bn_expand2(BIGNUM *b, int bits);
+BIGNUM *BN_dup(BIGNUM *a);
+int BN_ucmp(BIGNUM *a, BIGNUM *b);
+int BN_set_bit(BIGNUM *a, int n);
+int BN_clear_bit(BIGNUM *a, int n);
+char * BN_bn2ascii(BIGNUM *a);
+int BN_ascii2bn(BIGNUM **a,char *str);
+int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
+BIGNUM *BN_mod_inverse(BIGNUM *a, BIGNUM *n,BN_CTX *ctx);
+BIGNUM *BN_generate_prime(int bits,int strong,BIGNUM *add,
+ BIGNUM *rem,void (*callback)(int,int));
+int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int),
+ BN_CTX *ctx);
+void ERR_load_BN_strings(void );
+
+BN_ULONG bn_mul_add_word(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
+BN_ULONG bn_mul_word(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
+void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
+BN_ULONG bn_div64(BN_ULONG h, BN_ULONG l, BN_ULONG d);
+
+BN_MONT_CTX *BN_MONT_CTX_new(void );
+int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
+ BN_CTX *ctx);
+int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
+void BN_MONT_CTX_free(BN_MONT_CTX *mont);
+int BN_MONT_CTX_set(BN_MONT_CTX *mont,BIGNUM *modulus,BN_CTX *ctx);
+
+#else
+
+BIGNUM *BN_value_one();
+char * BN_options();
+BN_CTX *BN_CTX_new();
+void BN_CTX_free();
+int BN_rand();
+int BN_num_bits();
+int BN_num_bits_word();
+BIGNUM *BN_new();
+void BN_clear_free();
+BIGNUM *BN_copy();
+BIGNUM *BN_bin2bn();
+int BN_bn2bin();
+int BN_sub();
+void bn_qsub();
+void bn_qadd();
+int BN_add();
+int BN_mod();
+int BN_div();
+int BN_mul();
+int BN_sqr();
+BN_ULONG BN_mod_word();
+BN_ULONG BN_div_word();
+int BN_add_word();
+int BN_set_word();
+unsigned long BN_get_word();
+int BN_cmp();
+void BN_free();
+int BN_is_bit_set();
+int BN_lshift();
+int BN_lshift1();
+int BN_mod_exp();
+int BN_mod_exp_mont();
+int BN_mod_exp_recp();
+int BN_mod_exp_simple();
+int BN_mask_bits();
+int BN_mod_mul_reciprocal();
+int BN_mod_mul();
+#ifndef WIN16
+int BN_print_fp();
+#endif
+int BN_print();
+int BN_reciprocal();
+int BN_rshift();
+int BN_rshift1();
+void BN_clear();
+BIGNUM *bn_expand2();
+BIGNUM *BN_dup();
+int BN_ucmp();
+int BN_set_bit();
+int BN_clear_bit();
+char * BN_bn2ascii();
+int BN_ascii2bn();
+int BN_gcd();
+BIGNUM *BN_mod_inverse();
+BIGNUM *BN_generate_prime();
+int BN_is_prime();
+void ERR_load_BN_strings();
+
+BN_ULONG bn_mul_add_word();
+BN_ULONG bn_mul_word();
+void bn_sqr_words();
+BN_ULONG bn_div64();
+
+int BN_mod_mul_montgomery();
+int BN_from_montgomery();
+BN_MONT_CTX *BN_MONT_CTX_new();
+void BN_MONT_CTX_free();
+int BN_MONT_CTX_set();
+
+#endif
+
+/* BEGIN ERROR CODES */
+/* Error codes for the BN functions. */
+
+/* Function codes. */
+#define BN_F_BN_BL_CTX_INIT 100
+#define BN_F_BN_BL_CTX_NEW 101
+#define BN_F_BN_BN2ASCII 102
+#define BN_F_BN_CTX_NEW 103
+#define BN_F_BN_DIV 104
+#define BN_F_BN_EXPAND2 105
+#define BN_F_BN_MOD_EXP_MONT 106
+#define BN_F_BN_MOD_INVERSE 107
+#define BN_F_BN_MOD_MUL_RECIPROCAL 108
+#define BN_F_BN_NEW 109
+#define BN_F_BN_RAND 110
+
+/* Reason codes. */
+#define BN_R_BAD_RECIPROCAL 100
+#define BN_R_CALLED_WITH_EVEN_MODULUS 101
+#define BN_R_DIV_BY_ZERO 102
+#define BN_R_NO_INVERSE 103
+
+#ifdef __cplusplus
+}
+#endif
+#endif
+