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+/* 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). */
+
+#ifndef OPENSSL_HEADER_CRYPTO_INTERNAL_H
+#define OPENSSL_HEADER_CRYPTO_INTERNAL_H
+
+#include <openssl/ex_data.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+
+/* st_CRYPTO_EX_DATA_IMPL contains an ex_data implementation. See the comments
+ * in ex_data.h for details of the behaviour of each of the functions. */
+struct st_CRYPTO_EX_DATA_IMPL {
+ int (*new_class)(void);
+ void (*cleanup)(void);
+
+ int (*get_new_index)(int class_value, long argl, void *argp,
+ CRYPTO_EX_new *new_func, CRYPTO_EX_dup *dup_func,
+ CRYPTO_EX_free *free_func);
+ int (*new_ex_data)(int class_value, void *obj, CRYPTO_EX_DATA *ad);
+ int (*dup_ex_data)(int class_value, CRYPTO_EX_DATA *to,
+ const CRYPTO_EX_DATA *from);
+ void (*free_ex_data)(int class_value, void *obj, CRYPTO_EX_DATA *ad);
+};
+
+
+#if defined(_MSC_VER)
+#define OPENSSL_U64(x) x##UI64
+#else
+
+#if defined(OPENSSL_64_BIT)
+#define OPENSSL_U64(x) x##UL
+#else
+#define OPENSSL_U64(x) x##ULL
+#endif
+
+#endif /* defined(_MSC_VER) */
+
+#if defined(OPENSSL_X86) || defined(OPENSSL_X86_64) || defined(OPENSSL_ARM) || \
+ defined(OPENSSL_AARCH64)
+/* OPENSSL_cpuid_setup initializes OPENSSL_ia32cap_P. */
+void OPENSSL_cpuid_setup(void);
+#endif
+
+#if !defined(inline)
+#define inline __inline
+#endif
+
+
+/* Constant-time utility functions.
+ *
+ * The following methods return a bitmask of all ones (0xff...f) for true and 0
+ * for false. This is useful for choosing a value based on the result of a
+ * conditional in constant time. For example,
+ *
+ * if (a < b) {
+ * c = a;
+ * } else {
+ * c = b;
+ * }
+ *
+ * can be written as
+ *
+ * unsigned int lt = constant_time_lt(a, b);
+ * c = constant_time_select(lt, a, b); */
+
+/* constant_time_msb returns the given value with the MSB copied to all the
+ * other bits. */
+static inline unsigned int constant_time_msb(unsigned int a) {
+ return (unsigned int)((int)(a) >> (sizeof(int) * 8 - 1));
+}
+
+/* constant_time_lt returns 0xff..f if a < b and 0 otherwise. */
+static inline unsigned int constant_time_lt(unsigned int a, unsigned int b) {
+ /* Consider the two cases of the problem:
+ * msb(a) == msb(b): a < b iff the MSB of a - b is set.
+ * msb(a) != msb(b): a < b iff the MSB of b is set.
+ *
+ * If msb(a) == msb(b) then the following evaluates as:
+ * msb(a^((a^b)|((a-b)^a))) ==
+ * msb(a^((a-b) ^ a)) == (because msb(a^b) == 0)
+ * msb(a^a^(a-b)) == (rearranging)
+ * msb(a-b) (because ∀x. x^x == 0)
+ *
+ * Else, if msb(a) != msb(b) then the following evaluates as:
+ * msb(a^((a^b)|((a-b)^a))) ==
+ * msb(a^(𝟙 | ((a-b)^a))) == (because msb(a^b) == 1 and 𝟙
+ * represents a value s.t. msb(𝟙) = 1)
+ * msb(a^𝟙) == (because ORing with 1 results in 1)
+ * msb(b)
+ *
+ *
+ * Here is an SMT-LIB verification of this formula:
+ *
+ * (define-fun lt ((a (_ BitVec 32)) (b (_ BitVec 32))) (_ BitVec 32)
+ * (bvxor a (bvor (bvxor a b) (bvxor (bvsub a b) a)))
+ * )
+ *
+ * (declare-fun a () (_ BitVec 32))
+ * (declare-fun b () (_ BitVec 32))
+ *
+ * (assert (not (= (= #x00000001 (bvlshr (lt a b) #x0000001f)) (bvult a b))))
+ * (check-sat)
+ * (get-model)
+ */
+ return constant_time_msb(a^((a^b)|((a-b)^a)));
+}
+
+/* constant_time_lt_8 acts like |constant_time_lt| but returns an 8-bit mask. */
+static inline uint8_t constant_time_lt_8(unsigned int a, unsigned int b) {
+ return (uint8_t)(constant_time_lt(a, b));
+}
+
+/* constant_time_gt returns 0xff..f if a >= b and 0 otherwise. */
+static inline unsigned int constant_time_ge(unsigned int a, unsigned int b) {
+ return ~constant_time_lt(a, b);
+}
+
+/* constant_time_ge_8 acts like |constant_time_ge| but returns an 8-bit mask. */
+static inline uint8_t constant_time_ge_8(unsigned int a, unsigned int b) {
+ return (uint8_t)(constant_time_ge(a, b));
+}
+
+/* constant_time_is_zero returns 0xff..f if a == 0 and 0 otherwise. */
+static inline unsigned int constant_time_is_zero(unsigned int a) {
+ /* Here is an SMT-LIB verification of this formula:
+ *
+ * (define-fun is_zero ((a (_ BitVec 32))) (_ BitVec 32)
+ * (bvand (bvnot a) (bvsub a #x00000001))
+ * )
+ *
+ * (declare-fun a () (_ BitVec 32))
+ *
+ * (assert (not (= (= #x00000001 (bvlshr (is_zero a) #x0000001f)) (= a #x00000000))))
+ * (check-sat)
+ * (get-model)
+ */
+ return constant_time_msb(~a & (a - 1));
+}
+
+/* constant_time_is_zero_8 acts like constant_time_is_zero but returns an 8-bit
+ * mask. */
+static inline uint8_t constant_time_is_zero_8(unsigned int a) {
+ return (uint8_t)(constant_time_is_zero(a));
+}
+
+/* constant_time_eq returns 0xff..f if a == b and 0 otherwise. */
+static inline unsigned int constant_time_eq(unsigned int a, unsigned int b) {
+ return constant_time_is_zero(a ^ b);
+}
+
+/* constant_time_eq_8 acts like |constant_time_eq| but returns an 8-bit mask. */
+static inline uint8_t constant_time_eq_8(unsigned int a, unsigned int b) {
+ return (uint8_t)(constant_time_eq(a, b));
+}
+
+/* constant_time_eq_int acts like |constant_time_eq| but works on int values. */
+static inline unsigned int constant_time_eq_int(int a, int b) {
+ return constant_time_eq((unsigned)(a), (unsigned)(b));
+}
+
+/* constant_time_eq_int_8 acts like |constant_time_eq_int| but returns an 8-bit
+ * mask. */
+static inline uint8_t constant_time_eq_int_8(int a, int b) {
+ return constant_time_eq_8((unsigned)(a), (unsigned)(b));
+}
+
+/* constant_time_select returns (mask & a) | (~mask & b). When |mask| is all 1s
+ * or all 0s (as returned by the methods above), the select methods return
+ * either |a| (if |mask| is nonzero) or |b| (if |mask| is zero). */
+static inline unsigned int constant_time_select(unsigned int mask,
+ unsigned int a, unsigned int b) {
+ return (mask & a) | (~mask & b);
+}
+
+/* constant_time_select_8 acts like |constant_time_select| but operates on
+ * 8-bit values. */
+static inline uint8_t constant_time_select_8(uint8_t mask, uint8_t a,
+ uint8_t b) {
+ return (uint8_t)(constant_time_select(mask, a, b));
+}
+
+/* constant_time_select_int acts like |constant_time_select| but operates on
+ * ints. */
+static inline int constant_time_select_int(unsigned int mask, int a, int b) {
+ return (int)(constant_time_select(mask, (unsigned)(a), (unsigned)(b)));
+}
+
+
+#if defined(__cplusplus)
+} /* extern C */
+#endif
+
+#endif /* OPENSSL_HEADER_CRYPTO_INTERNAL_H */