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+/* 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 (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).
+ *
+ */
+/* ====================================================================
+ * 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 OPENSSL_HEADER_BN_INTERNAL_H
+#define OPENSSL_HEADER_BN_INTERNAL_H
+
+#include <openssl/base.h>
+
+#include <inttypes.h>
+
+#if defined(OPENSSL_X86_64) && defined(_MSC_VER) && _MSC_VER >= 1400
+#include <intrin.h>
+#pragma intrinsic(__umulh, _umul128)
+#endif
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+/* bn_expand acts the same as |BN_wexpand|, but takes a number of bits rather
+ * than a number of words. */
+BIGNUM *bn_expand(BIGNUM *bn, unsigned bits);
+
+#if defined(OPENSSL_64_BIT)
+
+#if !defined(_MSC_VER)
+/* MSVC doesn't support two-word integers on 64-bit. */
+#define BN_LLONG __int128_t
+#define BN_ULLONG __uint128_t
+#endif
+
+#define BN_BITS 128
+#define BN_BITS2 64
+#define BN_BYTES 8
+#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 "%" PRIu64
+#define BN_DEC_FMT2 "%019" PRIu64
+#define BN_DEC_NUM 19
+#define BN_HEX_FMT1 "%" PRIx64
+
+#elif defined(OPENSSL_32_BIT)
+
+#define BN_LLONG int64_t
+#define BN_ULLONG uint64_t
+#define BN_MASK (0xffffffffffffffffLL)
+#define BN_BITS 64
+#define BN_BITS2 32
+#define BN_BYTES 4
+#define BN_BITS4 16
+#define BN_MASK2 (0xffffffffL)
+#define BN_MASK2l (0xffff)
+#define BN_MASK2h1 (0xffff8000L)
+#define BN_MASK2h (0xffff0000L)
+#define BN_TBIT (0x80000000L)
+#define BN_DEC_CONV (1000000000L)
+#define BN_DEC_FMT1 "%" PRIu32
+#define BN_DEC_FMT2 "%09" PRIu32
+#define BN_DEC_NUM 9
+#define BN_HEX_FMT1 "%" PRIx32
+
+#else
+#error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT"
+#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(BN_LLONG)
+#define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
+#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
+#endif
+
+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);
+
+void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
+void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
+
+/* bn_cmp_words returns a value less than, equal to or greater than zero if
+ * the, length |n|, array |a| is less than, equal to or greater than |b|. */
+int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
+
+/* bn_cmp_words returns a value less than, equal to or greater than zero if the
+ * array |a| is less than, equal to or greater than |b|. The arrays can be of
+ * different lengths: |cl| gives the minimum of the two lengths and |dl| gives
+ * the length of |a| minus the length of |b|. */
+int bn_cmp_part_words(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);
+
+#if !defined(BN_LLONG)
+
+#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; \
+ }
+
+#endif /* !defined(BN_LLONG) */
+
+#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
+# if defined(__GNUC__) && __GNUC__ >= 2
+# 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");
+# elif defined(_MSC_VER) && _MSC_VER >= 1400
+# define BN_UMULT_HIGH(a, b) __umulh((a), (b))
+# define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high)))
+# endif
+#elif !defined(OPENSSL_NO_ASM) && defined(OPENSSL_AARCH64)
+# if defined(__GNUC__) && __GNUC__>=2
+# define BN_UMULT_HIGH(a,b) ({ \
+ register BN_ULONG ret; \
+ __asm__ ("umulh %0,%1,%2" \
+ : "=r"(ret) \
+ : "r"(a), "r"(b)); \
+ ret; })
+# endif
+#endif
+
+
+#if defined(__cplusplus)
+} /* extern C */
+#endif
+
+#endif /* OPENSSL_HEADER_BN_INTERNAL_H */