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+/**
+ * Constant-time functions
+ *
+ * Copyright The Mbed TLS Contributors
+ * SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
+ */
+
+#ifndef MBEDTLS_CONSTANT_TIME_INTERNAL_H
+#define MBEDTLS_CONSTANT_TIME_INTERNAL_H
+
+#include <stdint.h>
+#include <stddef.h>
+
+#include "common.h"
+
+#if defined(MBEDTLS_BIGNUM_C)
+#include "mbedtls/bignum.h"
+#endif
+
+/* The constant-time interface provides various operations that are likely
+ * to result in constant-time code that does not branch or use conditional
+ * instructions for secret data (for secret pointers, this also applies to
+ * the data pointed to).
+ *
+ * It has three main parts:
+ *
+ * - boolean operations
+ * These are all named mbedtls_ct_<type>_<operation>.
+ * They operate over <type> and return mbedtls_ct_condition_t.
+ * All arguments are considered secret.
+ * example: bool x = y | z => x = mbedtls_ct_bool_or(y, z)
+ * example: bool x = y == z => x = mbedtls_ct_uint_eq(y, z)
+ *
+ * - conditional data selection
+ * These are all named mbedtls_ct_<type>_if and mbedtls_ct_<type>_if_else_0
+ * All arguments are considered secret.
+ * example: size_t a = x ? b : c => a = mbedtls_ct_size_if(x, b, c)
+ * example: unsigned a = x ? b : 0 => a = mbedtls_ct_uint_if_else_0(x, b)
+ *
+ * - block memory operations
+ * Only some arguments are considered secret, as documented for each
+ * function.
+ * example: if (x) memcpy(...) => mbedtls_ct_memcpy_if(x, ...)
+ *
+ * mbedtls_ct_condition_t must be treated as opaque and only created and
+ * manipulated via the functions in this header. The compiler should never
+ * be able to prove anything about its value at compile-time.
+ *
+ * mbedtls_ct_uint_t is an unsigned integer type over which constant time
+ * operations may be performed via the functions in this header. It is as big
+ * as the larger of size_t and mbedtls_mpi_uint, i.e. it is safe to cast
+ * to/from "unsigned int", "size_t", and "mbedtls_mpi_uint" (and any other
+ * not-larger integer types).
+ *
+ * For Arm (32-bit, 64-bit and Thumb), x86 and x86-64, assembly implementations
+ * are used to ensure that the generated code is constant time. For other
+ * architectures, it uses a plain C fallback designed to yield constant-time code
+ * (this has been observed to be constant-time on latest gcc, clang and MSVC
+ * as of May 2023).
+ *
+ * For readability, the static inline definitions are separated out into
+ * constant_time_impl.h.
+ */
+
+#if (SIZE_MAX > 0xffffffffffffffffULL)
+/* Pointer size > 64-bit */
+typedef size_t mbedtls_ct_condition_t;
+typedef size_t mbedtls_ct_uint_t;
+typedef ptrdiff_t mbedtls_ct_int_t;
+#define MBEDTLS_CT_TRUE ((mbedtls_ct_condition_t) mbedtls_ct_compiler_opaque(SIZE_MAX))
+#elif (SIZE_MAX > 0xffffffff) || defined(MBEDTLS_HAVE_INT64)
+/* 32-bit < pointer size <= 64-bit, or 64-bit MPI */
+typedef uint64_t mbedtls_ct_condition_t;
+typedef uint64_t mbedtls_ct_uint_t;
+typedef int64_t mbedtls_ct_int_t;
+#define MBEDTLS_CT_SIZE_64
+#define MBEDTLS_CT_TRUE ((mbedtls_ct_condition_t) mbedtls_ct_compiler_opaque(UINT64_MAX))
+#else
+/* Pointer size <= 32-bit, and no 64-bit MPIs */
+typedef uint32_t mbedtls_ct_condition_t;
+typedef uint32_t mbedtls_ct_uint_t;
+typedef int32_t mbedtls_ct_int_t;
+#define MBEDTLS_CT_SIZE_32
+#define MBEDTLS_CT_TRUE ((mbedtls_ct_condition_t) mbedtls_ct_compiler_opaque(UINT32_MAX))
+#endif
+#define MBEDTLS_CT_FALSE ((mbedtls_ct_condition_t) mbedtls_ct_compiler_opaque(0))
+
+/* ============================================================================
+ * Boolean operations
+ */
+
+/** Convert a number into a mbedtls_ct_condition_t.
+ *
+ * \param x Number to convert.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x != 0, or MBEDTLS_CT_FALSE if \p x == 0
+ *
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool(mbedtls_ct_uint_t x);
+
+/** Boolean "not equal" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x != \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x != \p y, otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_ne(mbedtls_ct_uint_t x, mbedtls_ct_uint_t y);
+
+/** Boolean "equals" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x == \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x == \p y, otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_eq(mbedtls_ct_uint_t x,
+ mbedtls_ct_uint_t y);
+
+/** Boolean "less than" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x < \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x < \p y, otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_lt(mbedtls_ct_uint_t x, mbedtls_ct_uint_t y);
+
+/** Boolean "greater than" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x > \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x > \p y, otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_gt(mbedtls_ct_uint_t x,
+ mbedtls_ct_uint_t y);
+
+/** Boolean "greater or equal" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x >= \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x >= \p y,
+ * otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_ge(mbedtls_ct_uint_t x,
+ mbedtls_ct_uint_t y);
+
+/** Boolean "less than or equal" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x <= \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x <= \p y,
+ * otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_uint_le(mbedtls_ct_uint_t x,
+ mbedtls_ct_uint_t y);
+
+/** Boolean not-equals operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x != \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \note This is more efficient than mbedtls_ct_uint_ne if both arguments are
+ * mbedtls_ct_condition_t.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x != \p y,
+ * otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_ne(mbedtls_ct_condition_t x,
+ mbedtls_ct_condition_t y);
+
+/** Boolean "and" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x && \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x && \p y,
+ * otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_and(mbedtls_ct_condition_t x,
+ mbedtls_ct_condition_t y);
+
+/** Boolean "or" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * \p x || \p y
+ *
+ * \param x The first value to analyze.
+ * \param y The second value to analyze.
+ *
+ * \return MBEDTLS_CT_TRUE if \p x || \p y,
+ * otherwise MBEDTLS_CT_FALSE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_or(mbedtls_ct_condition_t x,
+ mbedtls_ct_condition_t y);
+
+/** Boolean "not" operation.
+ *
+ * Functionally equivalent to:
+ *
+ * ! \p x
+ *
+ * \param x The value to invert
+ *
+ * \return MBEDTLS_CT_FALSE if \p x, otherwise MBEDTLS_CT_TRUE.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_not(mbedtls_ct_condition_t x);
+
+
+/* ============================================================================
+ * Data selection operations
+ */
+
+/** Choose between two size_t values.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : if0.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ * \param if0 Value to use if \p condition == MBEDTLS_CT_FALSE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise \c if0.
+ */
+static inline size_t mbedtls_ct_size_if(mbedtls_ct_condition_t condition,
+ size_t if1,
+ size_t if0);
+
+/** Choose between two unsigned values.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : if0.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ * \param if0 Value to use if \p condition == MBEDTLS_CT_FALSE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise \c if0.
+ */
+static inline unsigned mbedtls_ct_uint_if(mbedtls_ct_condition_t condition,
+ unsigned if1,
+ unsigned if0);
+
+/** Choose between two mbedtls_ct_condition_t values.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : if0.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ * \param if0 Value to use if \p condition == MBEDTLS_CT_FALSE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise \c if0.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_if(mbedtls_ct_condition_t condition,
+ mbedtls_ct_condition_t if1,
+ mbedtls_ct_condition_t if0);
+
+#if defined(MBEDTLS_BIGNUM_C)
+
+/** Choose between two mbedtls_mpi_uint values.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : if0.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ * \param if0 Value to use if \p condition == MBEDTLS_CT_FALSE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise \c if0.
+ */
+static inline mbedtls_mpi_uint mbedtls_ct_mpi_uint_if(mbedtls_ct_condition_t condition, \
+ mbedtls_mpi_uint if1, \
+ mbedtls_mpi_uint if0);
+
+#endif
+
+/** Choose between an unsigned value and 0.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : 0.
+ *
+ * Functionally equivalent to mbedtls_ct_uint_if(condition, if1, 0) but
+ * results in smaller code size.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise 0.
+ */
+static inline unsigned mbedtls_ct_uint_if_else_0(mbedtls_ct_condition_t condition, unsigned if1);
+
+/** Choose between an mbedtls_ct_condition_t and 0.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : 0.
+ *
+ * Functionally equivalent to mbedtls_ct_bool_if(condition, if1, 0) but
+ * results in smaller code size.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise 0.
+ */
+static inline mbedtls_ct_condition_t mbedtls_ct_bool_if_else_0(mbedtls_ct_condition_t condition,
+ mbedtls_ct_condition_t if1);
+
+/** Choose between a size_t value and 0.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : 0.
+ *
+ * Functionally equivalent to mbedtls_ct_size_if(condition, if1, 0) but
+ * results in smaller code size.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise 0.
+ */
+static inline size_t mbedtls_ct_size_if_else_0(mbedtls_ct_condition_t condition, size_t if1);
+
+#if defined(MBEDTLS_BIGNUM_C)
+
+/** Choose between an mbedtls_mpi_uint value and 0.
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : 0.
+ *
+ * Functionally equivalent to mbedtls_ct_mpi_uint_if(condition, if1, 0) but
+ * results in smaller code size.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise 0.
+ */
+static inline mbedtls_mpi_uint mbedtls_ct_mpi_uint_if_else_0(mbedtls_ct_condition_t condition,
+ mbedtls_mpi_uint if1);
+
+#endif
+
+/** Constant-flow char selection
+ *
+ * \param low Secret. Bottom of range
+ * \param high Secret. Top of range
+ * \param c Secret. Value to compare to range
+ * \param t Secret. Value to return, if in range
+ *
+ * \return \p t if \p low <= \p c <= \p high, 0 otherwise.
+ */
+static inline unsigned char mbedtls_ct_uchar_in_range_if(unsigned char low,
+ unsigned char high,
+ unsigned char c,
+ unsigned char t);
+
+/** Choose between two error values. The values must be in the range [-32767..0].
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : if0.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ * \param if0 Value to use if \p condition == MBEDTLS_CT_FALSE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise \c if0.
+ */
+static inline int mbedtls_ct_error_if(mbedtls_ct_condition_t condition, int if1, int if0);
+
+/** Choose between an error value and 0. The error value must be in the range [-32767..0].
+ *
+ * Functionally equivalent to:
+ *
+ * condition ? if1 : 0.
+ *
+ * Functionally equivalent to mbedtls_ct_error_if(condition, if1, 0) but
+ * results in smaller code size.
+ *
+ * \param condition Condition to test.
+ * \param if1 Value to use if \p condition == MBEDTLS_CT_TRUE.
+ *
+ * \return \c if1 if \p condition == MBEDTLS_CT_TRUE, otherwise 0.
+ */
+static inline int mbedtls_ct_error_if_else_0(mbedtls_ct_condition_t condition, int if1);
+
+/* ============================================================================
+ * Block memory operations
+ */
+
+#if defined(MBEDTLS_PKCS1_V15) && defined(MBEDTLS_RSA_C) && !defined(MBEDTLS_RSA_ALT)
+
+/** Conditionally set a block of memory to zero.
+ *
+ * Regardless of the condition, every byte will be read once and written to
+ * once.
+ *
+ * \param condition Secret. Condition to test.
+ * \param buf Secret. Pointer to the start of the buffer.
+ * \param len Number of bytes to set to zero.
+ *
+ * \warning Unlike mbedtls_platform_zeroize, this does not have the same guarantees
+ * about not being optimised away if the memory is never read again.
+ */
+void mbedtls_ct_zeroize_if(mbedtls_ct_condition_t condition, void *buf, size_t len);
+
+/** Shift some data towards the left inside a buffer.
+ *
+ * Functionally equivalent to:
+ *
+ * memmove(start, start + offset, total - offset);
+ * memset(start + (total - offset), 0, offset);
+ *
+ * Timing independence comes at the expense of performance.
+ *
+ * \param start Secret. Pointer to the start of the buffer.
+ * \param total Total size of the buffer.
+ * \param offset Secret. Offset from which to copy \p total - \p offset bytes.
+ */
+void mbedtls_ct_memmove_left(void *start,
+ size_t total,
+ size_t offset);
+
+#endif /* defined(MBEDTLS_PKCS1_V15) && defined(MBEDTLS_RSA_C) && !defined(MBEDTLS_RSA_ALT) */
+
+/** Conditional memcpy.
+ *
+ * Functionally equivalent to:
+ *
+ * if (condition) {
+ * memcpy(dest, src1, len);
+ * } else {
+ * if (src2 != NULL)
+ * memcpy(dest, src2, len);
+ * }
+ *
+ * It will always read len bytes from src1.
+ * If src2 != NULL, it will always read len bytes from src2.
+ * If src2 == NULL, it will instead read len bytes from dest (as if src2 == dest).
+ *
+ * \param condition The condition
+ * \param dest Secret. Destination pointer.
+ * \param src1 Secret. Pointer to copy from (if \p condition == MBEDTLS_CT_TRUE).
+ * This may be equal to \p dest, but may not overlap in other ways.
+ * \param src2 Secret (contents only - may branch to determine if this parameter is NULL).
+ * Pointer to copy from (if \p condition == MBEDTLS_CT_FALSE and \p src2 is not NULL). May be NULL.
+ * This may be equal to \p dest, but may not overlap it in other ways. It may overlap with \p src1.
+ * \param len Number of bytes to copy.
+ */
+void mbedtls_ct_memcpy_if(mbedtls_ct_condition_t condition,
+ unsigned char *dest,
+ const unsigned char *src1,
+ const unsigned char *src2,
+ size_t len
+ );
+
+/** Copy data from a secret position.
+ *
+ * Functionally equivalent to:
+ *
+ * memcpy(dst, src + offset, len)
+ *
+ * This function copies \p len bytes from \p src + \p offset to
+ * \p dst, with a code flow and memory access pattern that does not depend on
+ * \p offset, but only on \p offset_min, \p offset_max and \p len.
+ *
+ * \note This function reads from \p dest, but the value that
+ * is read does not influence the result and this
+ * function's behavior is well-defined regardless of the
+ * contents of the buffers. This may result in false
+ * positives from static or dynamic analyzers, especially
+ * if \p dest is not initialized.
+ *
+ * \param dest Secret. The destination buffer. This must point to a writable
+ * buffer of at least \p len bytes.
+ * \param src Secret. The base of the source buffer. This must point to a
+ * readable buffer of at least \p offset_max + \p len
+ * bytes. Shouldn't overlap with \p dest
+ * \param offset Secret. The offset in the source buffer from which to copy.
+ * This must be no less than \p offset_min and no greater
+ * than \p offset_max.
+ * \param offset_min The minimal value of \p offset.
+ * \param offset_max The maximal value of \p offset.
+ * \param len The number of bytes to copy.
+ */
+void mbedtls_ct_memcpy_offset(unsigned char *dest,
+ const unsigned char *src,
+ size_t offset,
+ size_t offset_min,
+ size_t offset_max,
+ size_t len);
+
+/* Documented in include/mbedtls/constant_time.h. a and b are secret.
+
+ int mbedtls_ct_memcmp(const void *a,
+ const void *b,
+ size_t n);
+ */
+
+#if defined(MBEDTLS_NIST_KW_C)
+
+/** Constant-time buffer comparison without branches.
+ *
+ * Similar to mbedtls_ct_memcmp, except that the result only depends on part of
+ * the input data - differences in the head or tail are ignored. Functionally equivalent to:
+ *
+ * memcmp(a + skip_head, b + skip_head, size - skip_head - skip_tail)
+ *
+ * Time taken depends on \p n, but not on \p skip_head or \p skip_tail .
+ *
+ * Behaviour is undefined if ( \p skip_head + \p skip_tail) > \p n.
+ *
+ * \param a Secret. Pointer to the first buffer, containing at least \p n bytes. May not be NULL.
+ * \param b Secret. Pointer to the second buffer, containing at least \p n bytes. May not be NULL.
+ * \param n The number of bytes to examine (total size of the buffers).
+ * \param skip_head Secret. The number of bytes to treat as non-significant at the start of the buffer.
+ * These bytes will still be read.
+ * \param skip_tail Secret. The number of bytes to treat as non-significant at the end of the buffer.
+ * These bytes will still be read.
+ *
+ * \return Zero if the contents of the two buffers are the same, otherwise non-zero.
+ */
+int mbedtls_ct_memcmp_partial(const void *a,
+ const void *b,
+ size_t n,
+ size_t skip_head,
+ size_t skip_tail);
+
+#endif
+
+/* Include the implementation of static inline functions above. */
+#include "constant_time_impl.h"
+
+#endif /* MBEDTLS_CONSTANT_TIME_INTERNAL_H */