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Delete poly1305.c
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442
audit/poly1305.c
442
audit/poly1305.c
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/* ===================================================================
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*
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* Copyright (c) 2018, Helder Eijs <helderijs@gmail.com>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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* COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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* ===================================================================
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*/
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#include "common.h"
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#include "endianess.h"
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FAKE_INIT(poly1305)
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typedef struct mac_state_t {
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uint32_t r[4], rr[4]; /** first key - variable in polynomial **/
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uint32_t s[5]; /** second key - fixed term in polynomial **/
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uint32_t h[5]; /** state **/
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uint8_t buffer[16]; /** temp input **/
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unsigned buffer_used;
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} mac_state;
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/*
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* Load 16 bytes as the secret r, which is the value we evaluate the polynomial
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* with, modulo 2^130-5.
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*
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* The secret gets encoded into four 32-bit words (r[]), after appropriate clamping
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* (reset) is applied to 22 of its bits.
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*
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* Additionaly, reduce modulo 2^130-5 the value 2^130*r into rr[], which we can
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* reuse several times later during each multiplication.
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*
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* @param[out] r: The 4-word array with the r value (little-endian)
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* @param[out] rr: The 4-word array with the value (r * 2^130) modulo 2^130-5 (little-endian)
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* @param[in] secret: The 16 bytes encoding r (not necessarily clamped already)
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*/
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STATIC void poly1305_load_r(uint32_t r[4], uint32_t rr[4], const uint8_t secret[16])
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{
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unsigned i;
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uint32_t mask;
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for (i=0; i<4; i++) {
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/**
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* The 4 most significant bits in a word are reset.
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* The 2 least significant bits in a word are reset, except for r[0]
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*/
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mask = (i==0) ? 0x0FFFFFFFU : 0x0FFFFFFCU;
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r[i] = LOAD_U32_LITTLE(secret+i*4) & mask;
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rr[i] = (r[i] >> 2)*5;
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}
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}
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/*
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* Load the next chunk of message as an integer.
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*
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* @param[out] m: The 5-word array the chunk will be read into (little-endian)
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* @param[in] data: The next chunk of message, at most 16 bytes. It is
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* smaller than 16 only if it is the last chunk.
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* @param[in] len: The length of the chunk (<=16)
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*/
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STATIC void poly1305_load_m(uint32_t m[5], const uint8_t data[], size_t len)
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{
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uint8_t copy[sizeof(uint32_t)*5];
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assert(len<=16);
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memset(copy, 0, sizeof(copy));
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memcpy(copy, data, len);
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copy[len] = 1; /** 2^128 or 2^{8*(l mod 16)} **/
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m[0] = LOAD_U32_LITTLE(copy);
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m[1] = LOAD_U32_LITTLE(copy+4);
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m[2] = LOAD_U32_LITTLE(copy+8);
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m[3] = LOAD_U32_LITTLE(copy+12);
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m[4] = LOAD_U32_LITTLE(copy+16);
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}
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/*
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* Load 16 bytes as the secret s, which is the fixed term for the polynomial, modulo 2^130-5.
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*
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* @param[out] m: The 5-word array that will contain the secret s (little-endian)
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* @param[in] s: The 16 bytes that encode the value s. It is typically the
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* result of an AES of ChaCha20 encryption.
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*/
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static void poly1305_load_s(uint32_t m[5], const uint8_t s[16])
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{
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m[0] = LOAD_U32_LITTLE(s);
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m[1] = LOAD_U32_LITTLE(s+4);
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m[2] = LOAD_U32_LITTLE(s+8);
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m[3] = LOAD_U32_LITTLE(s+12);
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m[4] = 0;
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}
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/**
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* Multiply a value by the secret r, "almost" modulo 2^130-5.
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*
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* @param[in,out] h: The 5-word array with the value to multiply (little-endian).
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* The result is stored back here.
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* The result is guaranteed to be smaller than 2^131 (not 2^130-5,
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* hence the "almost" modulo) for any value of h[] in input.
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* @param[in] r: The 4-word array with the multiplier, as generated by
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* poly1305_load_r() (little-endian).
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* @param[in] rr: The 4-word array with the other value generated by
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* poly1305__load_r() for the same multipler (little-endian).
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*/
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STATIC void poly1305_multiply(uint32_t h[5], const uint32_t r[4], const uint32_t rr[4])
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{
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uint64_t a0, a1, a2, a3;
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uint64_t aa0, aa1, aa2, aa3;
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uint64_t x0, x1, x2, x3, x4;
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uint64_t carry;
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/*
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* Boundaries
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* - h[0..4] < 2^32
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* - r[0..3] < 2^28 < 5*2^26
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* - rr[0..3] < 5*2^26
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*/
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a0 = r[0];
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a1 = r[1];
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a2 = r[2];
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a3 = r[3];
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aa0 = rr[0];
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aa1 = rr[1];
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aa2 = rr[2];
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aa3 = rr[3];
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/**
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* Schoolbook multiplication between h[] and r[], with the caveat that
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* the components exceeding 2^130 are folded back with a right shift and
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* a multiplication by 5 (already precomputed in rr[]).
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*
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* Each sum is guaranteed to be smaller than 2^63 (x0 being the worst case).
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*/
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x0 = a0*h[0] + aa0*h[4] + aa1*h[3] + aa2*h[2] + aa3*h[1];
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x1 = a0*h[1] + a1*h[0] + aa1*h[4] + aa2*h[3] + aa3*h[2];
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x2 = a0*h[2] + a1*h[1] + a2*h[0] + aa2*h[4] + aa3*h[3];
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x3 = a0*h[3] + a1*h[2] + a2*h[1] + a3*h[0] + aa3*h[4];
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x4 = (a0 & 3)*h[4]; /** < 2^34 **/
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/** Clear upper half of x3 **/
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x4 += x3 >> 32;
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x3 &= UINT32_MAX;
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/** Clear the 62 most significant bits of x4 and
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* create carry for x0 **/
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carry = (x4 >> 2)*5; /** < 2^35 **/
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x4 &= 3;
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/** Reduce x0 to 32 bits and store into h0 **/
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x0 += carry;
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h[0] = x0 & UINT32_MAX;
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carry = x0 >> 32;
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/** Reduce x1 to 32 bits and store into h1 **/
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x1 += carry;
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h[1] = x1 & UINT32_MAX;
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carry = x1 >> 32;
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/** Reduce x2 to 32 bits and store into h2 **/
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x2 += carry;
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h[2] = x2 & UINT32_MAX;
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carry = x2 >> 32;
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/** Reduce x3 to 32 bits and store into h3 **/
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x3 += carry;
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h[3] = x3 & UINT32_MAX;
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carry = x3 >> 32; /** < 1 **/
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/** Reduce x4 to 32 bits and store into h4 **/
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x4 += carry; /** < 2^3 **/
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assert(x4 < 8);
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h[4] = (uint32_t)x4;
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}
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/*
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* Reduce a value h[] modulo 2^130-5.
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*
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* @param[in,out] h: The 5-word array with the value to reduce (little-endian).
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* The result is stored back here and it is guaranteed to
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* be smaller than 2^130- 5.
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* The incoming value h must be smaller than 2^131.
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*/
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STATIC void poly1305_reduce(uint32_t h[5])
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{
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unsigned i;
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assert(h[4]<8);
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for (i=0; i<2; i++) {
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uint32_t mask, carry;
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uint32_t g[5];
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/** Compute h+(-p) by adding and removing 2^130 **/
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g[0] = h[0] + 5; carry = g[0] < h[0];
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g[1] = h[1] + carry; carry = g[1] < h[1];
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g[2] = h[2] + carry; carry = g[2] < h[2];
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g[3] = h[3] + carry; carry = g[3] < h[3];
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g[4] = h[4] + carry - 4;
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mask = (g[4] >> 31) - 1U; /** All 1s if g[] is a valid reduction **/
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h[0] = (h[0] & ~mask) ^ (g[0] & mask);
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h[1] = (h[1] & ~mask) ^ (g[1] & mask);
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h[2] = (h[2] & ~mask) ^ (g[2] & mask);
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h[3] = (h[3] & ~mask) ^ (g[3] & mask);
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h[4] = (h[4] & ~mask) ^ (g[4] & mask);
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}
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}
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/**
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* Add two values.
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*
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* It must be assured that the sum does not exceed 2^160.
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*
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* @param[in,out] h: The 5-word variable to accumulate into (little-endian).
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* @param[in] m: The other 5-word term to add (little-endian).
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*/
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STATIC void poly1305_accumulate(uint32_t h[5], const uint32_t m[5])
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{
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#if 0
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// 128-bit type exist and little-endian
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uint32_t carry;
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__uint128_t a, b, c;
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memcpy(&a, h, 16);
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memcpy(&b, m, 16);
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c = a + b; carry = c < a;
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memcpy(h, &c, 16);
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h[4] += m[4] + carry;
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#else
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uint8_t carry;
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uint64_t tmp;
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h[0] += m[0];
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carry = h[0] < m[0];
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tmp = (uint64_t)h[1] + m[1] + carry;
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h[1] = (uint32_t) tmp;
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carry = (tmp >> 32) & 1;
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tmp = (uint64_t)h[2] + m[2] + carry;
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h[2] = (uint32_t) tmp;
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carry = (tmp >> 32) & 1;
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tmp = (uint64_t)h[3] + m[3] + carry;
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h[3] = (uint32_t) tmp;
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carry = (tmp >> 32) & 1;
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tmp = (uint64_t)h[4] + m[4] + carry;
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h[4] = (uint32_t) tmp;
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assert((tmp >> 32) == 0);
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#endif
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}
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/**
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* Process the next chunk of the message.
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*
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* This procedure performs the following operation (assuming that msg is 16 byte long):
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*
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* h = r * (h + (2^128 + little_endian_int(msg))) quasi-modulo 2^130-5
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*
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* Quasi-modulo means that the computations are performed modulo 2^130-5 but the
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* result is still only guaranteed to be smaller than 2^131.
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*
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* @param[in,out] h: The 5-word variable to accumulate into.
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* In input, it must be smaller than 2^131.
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* In output, it is guranteed to remain smaller than 2^131.
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* @param[in] r: The 4-word array with the multiplier, as generated by
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* poly1305_load_r()
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* @param[in] rr: The 4-word array with the other value generated by
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* poly1305__load_r() for the same multipler.
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* @param[in] data: The next chunk of message, at most 16 bytes. It is
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* smaller than 16 only if it is the last chunk.
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* @param[in] len: The length of chunk (<=16)
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*/
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static void poly1305_process(uint32_t h[5], uint32_t r[4], uint32_t rr[4], uint8_t msg[], size_t len)
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{
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uint32_t m[5];
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if (len == 0)
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return;
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poly1305_load_m(m, msg, len);
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poly1305_accumulate(h, m); /** We add two values that don't exceed 2^131, so
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* this addition will not overflow 2^160.
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*/
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poly1305_multiply(h, r, rr);
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}
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/*
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* Terminate processing of the message and create the final MAC tag.
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*
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* @param[in,out] h: The 5-word variable where the resulting MAC must be put into,
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* truncated to 128 bits.
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* In input, it contains the value the polynomial has been evaluated at,
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* without the fixed term. The input is smaller than 2^131.
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* @param[in] s: The 5-word value s, that is, the fixed term of the
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* polynomial, as created by poly1305_load_s().
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*/
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static void poly1305_finalize(uint32_t h[5], const uint32_t s[5])
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{
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poly1305_reduce(h);
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poly1305_accumulate(h, s);
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h[4] = 0; /** modulo 2**128 **/
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}
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/* --------------------------------------------------------- */
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EXPORT_SYM int poly1305_init(mac_state **pState,
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const uint8_t r[16],
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size_t r_len,
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const uint8_t s[16],
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size_t s_len)
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{
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mac_state *ms;
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if (NULL == pState || NULL == r || NULL == s)
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return ERR_NULL;
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if (r_len != 16 || s_len != 16)
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return ERR_KEY_SIZE;
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*pState = ms = (mac_state*) calloc(1, sizeof(mac_state));
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if (NULL == ms)
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return ERR_MEMORY;
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poly1305_load_r(ms->r, ms->rr, r);
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poly1305_load_s(ms->s, s);
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return 0;
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}
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EXPORT_SYM int poly1305_destroy(mac_state *state)
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{
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if (NULL == state)
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return ERR_NULL;
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free(state);
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return 0;
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}
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EXPORT_SYM int poly1305_update(mac_state *state,
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const uint8_t *in,
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size_t len)
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{
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if (NULL == state || NULL == in)
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return ERR_NULL;
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while (len>0) {
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unsigned btc;
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btc = (unsigned)MIN(len, 16 - state->buffer_used);
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memcpy(state->buffer + state->buffer_used, in, btc);
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state->buffer_used += btc;
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in += btc;
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len -= btc;
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if (state->buffer_used == 16) {
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poly1305_process(state->h, state->r, state->rr, state->buffer, 16);
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state->buffer_used = 0;
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}
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}
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return 0;
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}
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EXPORT_SYM int poly1305_digest(const mac_state *state,
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uint8_t digest[16],
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size_t len)
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{
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mac_state temp;
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unsigned i;
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if (NULL == state || NULL == digest) {
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return ERR_NULL;
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}
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if (len != 16)
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return ERR_DIGEST_SIZE;
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temp = *state;
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if (temp.buffer_used > 0) {
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poly1305_process(temp.h, temp.r, temp.rr, temp.buffer, temp.buffer_used);
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}
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poly1305_finalize(temp.h, temp.s);
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for (i=0; i<4; i++) {
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STORE_U32_LITTLE(digest+i*4, temp.h[i]);
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}
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return 0;
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}
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#ifdef PROFILE
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int main(void)
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{
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const unsigned data_size = 1024*1024;
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mac_state *state;
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const uint8_t r[16] = "1234567890123456";
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const uint8_t s[16] = "1234567890123456";
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uint8_t *data;
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data = malloc(data_size);
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for (int i=0; i<data_size; i++) {
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data[i] = (uint8_t) i;
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}
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poly1305_init(&state, r, 16, s, 16);
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for (int i=0; i<1024; i++)
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poly1305_update(state, data, 1024*1024);
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poly1305_destroy(state);
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free(data);
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}
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#endif
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