mirror of https://github.com/TheAlgorithms/C
481 lines
12 KiB
C
481 lines
12 KiB
C
/**
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* @addtogroup hash Hash algorithms
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* @{
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* @file
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* @author [Daniel Murrow](https://github.com/dsmurrow)
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* @brief [Blake2b cryptographic hash
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* function](https://www.rfc-editor.org/rfc/rfc7693)
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*
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* The Blake2b cryptographic hash function provides
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* hashes for data that are secure enough to be used in
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* cryptographic applications. It is designed to perform
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* optimally on 64-bit platforms. The algorithm can output
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* digests between 1 and 64 bytes long, for messages up to
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* 128 bits in length. Keyed hashing is also supported for
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* keys up to 64 bytes in length.
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*/
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#include <assert.h> /// for asserts
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#include <inttypes.h> /// for fixed-width integer types e.g. uint64_t and uint8_t
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#include <stdio.h> /// for IO
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#include <stdlib.h> /// for malloc, calloc, and free. As well as size_t
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/* Warning suppressed is in blake2b() function, more
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* details are over there */
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#ifdef __GNUC__
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#pragma GCC diagnostic ignored "-Wshift-count-overflow"
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#elif _MSC_VER
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#pragma warning(disable : 4293)
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#endif
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/**
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* @define bb
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* @brief the size of a data block in bytes
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*/
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#define bb 128
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/**
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* @define KK_MAX
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* @brief max key length for BLAKE2b
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*/
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#define KK_MAX 64
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/**
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* @define NN_MAX
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* @brief max length of BLAKE2b digest in bytes
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*/
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#define NN_MAX 64
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/**
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* @define CEIL
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* @brief ceiling division macro without floats
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*
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* @param a dividend
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* @param divisor
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*/
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#define CEIL(a, b) (((a) / (b)) + ((a) % (b) != 0))
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/**
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* @define MIN
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* @brief returns minimum value
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*/
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#define MIN(a, b) ((a) < (b) ? (a) : (b))
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/**
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* @define MAX
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* @brief returns maximum value
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*/
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#define MAX(a, b) ((a) > (b) ? (a) : (b))
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/**
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* @define ROTR64
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* @brief macro to rotate 64-bit ints to the right
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* Ripped from RFC 7693
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*/
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#define ROTR64(n, offset) (((n) >> (offset)) ^ ((n) << (64 - (offset))))
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/**
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* @define U128_ZERO
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* @brief zero-value initializer for u128 type
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*/
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#define U128_ZERO \
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{ \
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0, 0 \
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}
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/** 128-bit number represented as two uint64's */
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typedef uint64_t u128[2];
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/** Padded input block containing bb bytes */
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typedef uint64_t block_t[bb / sizeof(uint64_t)];
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static const uint8_t R1 = 32; ///< Rotation constant 1 for mixing function G
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static const uint8_t R2 = 24; ///< Rotation constant 2 for mixing function G
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static const uint8_t R3 = 16; ///< Rotation constant 3 for mixing function G
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static const uint8_t R4 = 63; ///< Rotation constant 4 for mixing function G
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static const uint64_t blake2b_iv[8] = {
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0x6A09E667F3BCC908, 0xBB67AE8584CAA73B, 0x3C6EF372FE94F82B,
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0xA54FF53A5F1D36F1, 0x510E527FADE682D1, 0x9B05688C2B3E6C1F,
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0x1F83D9ABFB41BD6B, 0x5BE0CD19137E2179}; ///< BLAKE2b Initialization vector
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///< blake2b_iv[i] = floor(2**64 *
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///< frac(sqrt(prime(i+1)))),
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///< where prime(i) is the i:th
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///< prime number
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static const uint8_t blake2b_sigma[12][16] = {
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{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15},
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{14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3},
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{11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4},
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{7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8},
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{9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13},
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{2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9},
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{12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11},
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{13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10},
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{6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5},
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{10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0},
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{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15},
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{14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5,
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3}}; ///< word schedule permutations for each round of the algorithm
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/**
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* @brief put value of n into dest
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*
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* @param dest 128-bit number to get copied from n
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* @param n value put into dest
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*
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* @returns void
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*/
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static inline void u128_fill(u128 dest, size_t n)
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{
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dest[0] = n & UINT64_MAX;
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if (sizeof(n) > 8)
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{
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/* The C standard does not specify a maximum length for size_t,
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* although most machines implement it to be the same length as
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* uint64_t. On machines where size_t is 8 bytes long this will issue a
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* compiler warning, which is why it is suppressed. But on a machine
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* where size_t is greater than 8 bytes, this will work as normal. */
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dest[1] = n >> 64;
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}
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else
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{
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dest[1] = 0;
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}
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}
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/**
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* @brief increment an 128-bit number by a given amount
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*
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* @param dest the value being incremented
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* @param n what dest is being increased by
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*
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* @returns void
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*/
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static inline void u128_increment(u128 dest, uint64_t n)
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{
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/* Check for overflow */
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if (UINT64_MAX - dest[0] <= n)
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{
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dest[1]++;
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}
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dest[0] += n;
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}
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/**
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* @brief blake2b mixing function G
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*
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* Shuffles values in block v depending on
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* provided indeces a, b, c, and d. x and y
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* are also mixed into the block.
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*
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* @param v array of words to be mixed
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* @param a first index
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* @param b second index
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* @param c third index
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* @param d fourth index
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* @param x first word being mixed into v
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* @param y second word being mixed into y
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*
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* @returns void
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*/
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static void G(block_t v, uint8_t a, uint8_t b, uint8_t c, uint8_t d, uint64_t x,
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uint64_t y)
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{
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v[a] += v[b] + x;
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v[d] = ROTR64(v[d] ^ v[a], R1);
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v[c] += v[d];
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v[b] = ROTR64(v[b] ^ v[c], R2);
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v[a] += v[b] + y;
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v[d] = ROTR64(v[d] ^ v[a], R3);
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v[c] += v[d];
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v[b] = ROTR64(v[b] ^ v[c], R4);
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}
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/**
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* @brief compression function F
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*
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* Securely mixes the values in block m into
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* the state vector h. Value at v[14] is also
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* inverted if this is the final block to be
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* compressed.
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*
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* @param h the state vector
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* @param m message vector to be compressed into h
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* @param t 128-bit offset counter
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* @param f flag to indicate whether this is the final block
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*
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* @returns void
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*/
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static void F(uint64_t h[8], block_t m, u128 t, int f)
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{
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int i;
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block_t v;
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/* v[0..7] := h[0..7] */
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for (i = 0; i < 8; i++)
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{
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v[i] = h[i];
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}
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/* v[8..15] := IV[0..7] */
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for (; i < 16; i++)
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{
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v[i] = blake2b_iv[i - 8];
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}
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v[12] ^= t[0]; /* v[12] ^ (t mod 2**w) */
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v[13] ^= t[1]; /* v[13] ^ (t >> w) */
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if (f)
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{
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v[14] = ~v[14];
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}
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for (i = 0; i < 12; i++)
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{
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const uint8_t *s = blake2b_sigma[i];
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G(v, 0, 4, 8, 12, m[s[0]], m[s[1]]);
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G(v, 1, 5, 9, 13, m[s[2]], m[s[3]]);
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G(v, 2, 6, 10, 14, m[s[4]], m[s[5]]);
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G(v, 3, 7, 11, 15, m[s[6]], m[s[7]]);
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G(v, 0, 5, 10, 15, m[s[8]], m[s[9]]);
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G(v, 1, 6, 11, 12, m[s[10]], m[s[11]]);
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G(v, 2, 7, 8, 13, m[s[12]], m[s[13]]);
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G(v, 3, 4, 9, 14, m[s[14]], m[s[15]]);
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}
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for (i = 0; i < 8; i++)
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{
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h[i] ^= v[i] ^ v[i + 8];
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}
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}
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/**
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* @brief driver function to perform the hashing as described in specification
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*
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* pseudocode: (credit to authors of RFC 7693 listed above)
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* FUNCTION BLAKE2( d[0..dd-1], ll, kk, nn )
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* |
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* | h[0..7] := IV[0..7] // Initialization Vector.
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* |
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* | // Parameter block p[0]
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* | h[0] := h[0] ^ 0x01010000 ^ (kk << 8) ^ nn
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* |
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* | // Process padded key and data blocks
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* | IF dd > 1 THEN
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* | | FOR i = 0 TO dd - 2 DO
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* | | | h := F( h, d[i], (i + 1) * bb, FALSE )
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* | | END FOR.
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* | END IF.
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* |
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* | // Final block.
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* | IF kk = 0 THEN
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* | | h := F( h, d[dd - 1], ll, TRUE )
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* | ELSE
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* | | h := F( h, d[dd - 1], ll + bb, TRUE )
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* | END IF.
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* |
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* | RETURN first "nn" bytes from little-endian word array h[].
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* |
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* END FUNCTION.
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*
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* @param dest destination of hashing digest
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* @param d message blocks
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* @param dd length of d
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* @param ll 128-bit length of message
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* @param kk length of secret key
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* @param nn length of hash digest
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*
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* @returns 0 upon successful hash
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*/
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static int BLAKE2B(uint8_t *dest, block_t *d, size_t dd, u128 ll, uint8_t kk,
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uint8_t nn)
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{
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uint8_t bytes[8];
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uint64_t i, j;
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uint64_t h[8];
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u128 t = U128_ZERO;
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/* h[0..7] = IV[0..7] */
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for (i = 0; i < 8; i++)
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{
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h[i] = blake2b_iv[i];
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}
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h[0] ^= 0x01010000 ^ (kk << 8) ^ nn;
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if (dd > 1)
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{
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for (i = 0; i < dd - 1; i++)
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{
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u128_increment(t, bb);
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F(h, d[i], t, 0);
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}
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}
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if (kk != 0)
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{
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u128_increment(ll, bb);
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}
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F(h, d[dd - 1], ll, 1);
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/* copy bytes from h to destination buffer */
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for (i = 0; i < nn; i++)
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{
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if (i % sizeof(uint64_t) == 0)
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{
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/* copy values from uint64 to 8 u8's */
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for (j = 0; j < sizeof(uint64_t); j++)
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{
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uint16_t offset = 8 * j;
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uint64_t mask = 0xFF;
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mask <<= offset;
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bytes[j] = (h[i / 8] & (mask)) >> offset;
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}
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}
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dest[i] = bytes[i % 8];
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}
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return 0;
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}
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/* @brief blake2b hash function
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*
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* This is the front-end function that sets up the argument for BLAKE2B().
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*
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* @param message the message to be hashed
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* @param len length of message (0 <= len < 2**128) (depends on sizeof(size_t)
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* for this implementation)
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* @param key optional secret key
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* @param kk length of optional secret key (0 <= kk <= 64)
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* @param nn length of output digest (1 <= nn < 64)
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*
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* @returns NULL if heap memory couldn't be allocated. Otherwise heap allocated
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* memory nn bytes large
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*/
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uint8_t *blake2b(const uint8_t *message, size_t len, const uint8_t *key,
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uint8_t kk, uint8_t nn)
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{
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uint8_t *dest = NULL;
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uint64_t long_hold;
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size_t dd, has_key, i;
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size_t block_index, word_in_block;
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u128 ll;
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block_t *blocks;
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if (message == NULL)
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{
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len = 0;
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}
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if (key == NULL)
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{
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kk = 0;
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}
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kk = MIN(kk, KK_MAX);
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nn = MIN(nn, NN_MAX);
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dd = MAX(CEIL(kk, bb) + CEIL(len, bb), 1);
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blocks = calloc(dd, sizeof(block_t));
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if (blocks == NULL)
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{
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return NULL;
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}
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dest = malloc(nn * sizeof(uint8_t));
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if (dest == NULL)
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{
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free(blocks);
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return NULL;
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}
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/* If there is a secret key it occupies the first block */
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for (i = 0; i < kk; i++)
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{
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long_hold = message[i];
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long_hold <<= 8 * (i % 8);
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word_in_block = (i % bb) / 8;
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/* block_index will always be 0 because kk <= 64 and bb = 128*/
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blocks[0][word_in_block] |= long_hold;
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}
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has_key = kk > 0 ? 1 : 0;
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for (i = 0; i < len; i++)
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{
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/* long_hold exists because the bit-shifting will overflow if we don't
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* store the value */
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long_hold = message[i];
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long_hold <<= 8 * (i % 8);
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block_index = has_key + (i / bb);
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word_in_block = (i % bb) / 8;
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blocks[block_index][word_in_block] |= long_hold;
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}
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u128_fill(ll, len);
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BLAKE2B(dest, blocks, dd, ll, kk, nn);
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free(blocks);
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return dest;
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}
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/** @} */
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/**
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* @brief Self-test implementations
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* @returns void
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*/
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static void assert_bytes(const uint8_t *expected, const uint8_t *actual,
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uint8_t len)
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{
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uint8_t i;
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assert(expected != NULL);
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assert(actual != NULL);
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assert(len > 0);
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for (i = 0; i < len; i++)
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{
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assert(expected[i] == actual[i]);
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}
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printf("All tests have successfully passed!\n");
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}
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/**
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* @brief Main function
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* @returns 0 on exit
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*/
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int main()
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{
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uint8_t *digest = NULL;
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/* "abc" example straight out of RFC-7693 */
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uint8_t abc[3] = {'a', 'b', 'c'};
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uint8_t abc_answer[64] = {
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0xBA, 0x80, 0xA5, 0x3F, 0x98, 0x1C, 0x4D, 0x0D, 0x6A, 0x27, 0x97,
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0xB6, 0x9F, 0x12, 0xF6, 0xE9, 0x4C, 0x21, 0x2F, 0x14, 0x68, 0x5A,
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0xC4, 0xB7, 0x4B, 0x12, 0xBB, 0x6F, 0xDB, 0xFF, 0xA2, 0xD1, 0x7D,
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0x87, 0xC5, 0x39, 0x2A, 0xAB, 0x79, 0x2D, 0xC2, 0x52, 0xD5, 0xDE,
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0x45, 0x33, 0xCC, 0x95, 0x18, 0xD3, 0x8A, 0xA8, 0xDB, 0xF1, 0x92,
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0x5A, 0xB9, 0x23, 0x86, 0xED, 0xD4, 0x00, 0x99, 0x23};
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digest = blake2b(abc, 3, NULL, 0, 64);
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assert_bytes(abc_answer, digest, 64);
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free(digest);
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return 0;
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}
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