/*
* Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdlib.h>
#include <string.h>
#include <openssl/crypto.h>
#include "internal/poly1305.h"
typedef void (*poly1305_blocks_f) (void *ctx, const unsigned char *inp,
size_t len, unsigned int padbit);
typedef void (*poly1305_emit_f) (void *ctx, unsigned char mac[16],
const unsigned int nonce[4]);
struct poly1305_context {
double opaque[24]; /* large enough to hold internal state, declared
* 'double' to ensure at least 64-bit invariant
* alignment across all platforms and
* configurations */
unsigned int nonce[4];
unsigned char data[POLY1305_BLOCK_SIZE];
size_t num;
struct {
poly1305_blocks_f blocks;
poly1305_emit_f emit;
} func;
};
size_t Poly1305_ctx_size ()
{
return sizeof(struct poly1305_context);
}
/* pick 32-bit unsigned integer in little endian order */
static unsigned int U8TOU32(const unsigned char *p)
{
return (((unsigned int)(p[0] & 0xff)) |
((unsigned int)(p[1] & 0xff) << 8) |
((unsigned int)(p[2] & 0xff) << 16) |
((unsigned int)(p[3] & 0xff) << 24));
}
/*
* Implementations can be classified by amount of significant bits in
* words making up the multi-precision value, or in other words radix
* or base of numerical representation, e.g. base 2^64, base 2^32,
* base 2^26. Complementary characteristic is how wide is the result of
* multiplication of pair of digits, e.g. it would take 128 bits to
* accommodate multiplication result in base 2^64 case. These are used
* interchangeably. To describe implementation that is. But interface
* is designed to isolate this so that low-level primitives implemented
* in assembly can be self-contained/self-coherent.
*/
#ifndef POLY1305_ASM
/*
* Even though there is __int128 reference implementation targeting
* 64-bit platforms provided below, it's not obvious that it's optimal
* choice for every one of them. Depending on instruction set overall
* amount of instructions can be comparable to one in __int64
* implementation. Amount of multiplication instructions would be lower,
* but not necessarily overall. And in out-of-order execution context,
* it is the latter that can be crucial...
*
* On related note. Poly1305 author, D. J. Bernstein, discusses and
* provides floating-point implementations of the algorithm in question.
* It made a lot of sense by the time of introduction, because most
* then-modern processors didn't have pipelined integer multiplier.
* [Not to mention that some had non-constant timing for integer
* multiplications.] Floating-point instructions on the other hand could
* be issued every cycle, which allowed to achieve better performance.
* Nowadays, with SIMD and/or out-or-order execution, shared or
* even emulated FPU, it's more complicated, and floating-point
* implementation is not necessarily optimal choice in every situation,
* rather contrary...
*
* <appro@openssl.org>
*/
typedef unsigned int u32;
/*
* poly1305_blocks processes a multiple of POLY1305_BLOCK_SIZE blocks
* of |inp| no longer than |len|. Behaviour for |len| not divisible by
* block size is unspecified in general case, even though in reference
* implementation the trailing chunk is simply ignored. Per algorithm
* specification, every input block, complete or last partial, is to be
* padded with a bit past most significant byte. The latter kind is then
* padded with zeros till block size. This last partial block padding
* is caller(*)'s responsibility, and because of this the last partial
* block is always processed with separate call with |len| set to
* POLY1305_BLOCK_SIZE and |padbit| to 0. In all other cases |padbit|
* should be set to 1 to perform implicit padding with 128th bit.
* poly1305_blocks does not actually check for this constraint though,
* it's caller(*)'s responsibility to comply.
*
* (*) In the context "caller" is not application code, but higher
* level Poly1305_* from this very module, so that quirks are
* handled locally.
*/
static void
poly1305_blocks(void *ctx, const unsigned char *inp, size_t len, u32 padbit);
/*
* Type-agnostic "rip-off" from constant_time_locl.h
*/
# define CONSTANT_TIME_CARRY(a,b) ( \
(a ^ ((a ^ b) | ((a - b) ^ b))) >> (sizeof(a) * 8 - 1) \
)
# if !defined(PEDANTIC) && \
(defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16) && \
(defined(__SIZEOF_LONG__) && __SIZEOF_LONG__==8)
typedef unsigned long u64;
typedef unsigned __int128 u128;
typedef struct {
u64 h[3];
u64 r[2];
} poly1305_internal;
/* pick 32-bit unsigned integer in little endian order */
static u64 U8TOU64(const unsigned char *p)
{
return (((u64)(p[0] & 0xff)) |
((u64)(p[1] & 0xff) << 8) |
((u64)(p[2] & 0xff) << 16) |
((u64)(p[3] & 0xff) << 24) |
((u64)(p[4] & 0xff) << 32) |
((u64)(p[5] & 0xff) << 40) |
((u64)(p[6] & 0xff) << 48) |
((u64)(p[7] & 0xff) << 56));
}
/* store a 32-bit unsigned integer in little endian */
static void U64TO8(unsigned char *p, u64 v)
{
p[0] = (unsigned char)((v) & 0xff);
p[1] = (unsigned char)((v >> 8) & 0xff);
p[2] = (unsigned char)((v >> 16) & 0xff);
p[3] = (unsigned char)((v >> 24) & 0xff);
p[4] = (unsigned char)((v >> 32) & 0xff);
p[5] = (unsigned char)((v >> 40) & 0xff);
p[6] = (unsigned char)((v >> 48) & 0xff);
p[7] = (unsigned char)((v >> 56) & 0xff);
}
static void poly1305_init(void *ctx, const unsigned char key[16])
{
poly1305_internal *st = (poly1305_internal *) ctx;
/* h = 0 */
st->h[0] = 0;
st->h[1] = 0;
st->h[2] = 0;
/* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
st->r[0] = U8TOU64(&key[0]) & 0x0ffffffc0fffffff;
st->r[1] = U8TOU64(&key[8]) & 0x0ffffffc0ffffffc;
}
static void
poly1305_blocks(void *ctx, const unsigned char *inp, size_t len, u32 padbit)
{
poly1305_internal *st = (poly1305_internal *)ctx;
u64 r0, r1;
u64 s1;
u64 h0, h1, h2, c;
u128 d0, d1;
r0 = st->r[0];
r1 = st->r[1];
s1 = r1 + (r1 >> 2);
h0 = st->h[0];
h1 = st->h[1];
h2 = st->h[2];
while (len >= POLY1305_BLOCK_SIZE) {
/* h += m[i] */
h0 = (u64)(d0 = (u128)h0 + U8TOU64(inp + 0));
h1 = (u64)(d1 = (u128)h1 + (d0 >> 64) + U8TOU64(inp + 8));
/*
* padbit can be zero only when original len was
* POLY1306_BLOCK_SIZE, but we don't check
*/
h2 += (u64)(d1 >> 64) + padbit;
/* h *= r "%" p, where "%" stands for "partial remainder" */
d0 = ((u128)h0 * r0) +
((u128)h1 * s1);
d1 = ((u128)h0 * r1) +
((u128)h1 * r0) +
(h2 * s1);
h2 = (h2 * r0);
/* last reduction step: */
/* a) h2:h0 = h2<<128 + d1<<64 + d0 */
h0 = (u64)d0;
h1 = (u64)(d1 += d0 >> 64);
h2 += (u64)(d1 >> 64);
/* b) (h2:h0 += (h2:h0>>130) * 5) %= 2^130 */
c = (h2 >> 2) + (h2 & ~3UL);
h2 &= 3;
h0 += c;
h1 += (c = CONSTANT_TIME_CARRY(h0,c));
h2 += CONSTANT_TIME_CARRY(h1,c);
/*
* Occasional overflows to 3rd bit of h2 are taken care of
* "naturally". If after this point we end up at the top of
* this loop, then the overflow bit will be accounted for
* in next iteration. If we end up in poly1305_emit, then
* comparison to modulus below will still count as "carry
* into 131st bit", so that properly reduced value will be
* picked in conditional move.
*/
inp += POLY1305_BLOCK_SIZE;
len -= POLY1305_BLOCK_SIZE;
}
st->h[0] = h0;
st->h[1] = h1;
st->h[2] = h2;
}
static void poly1305_emit(void *ctx, unsigned char mac[16],
const u32 nonce[4])
{
poly1305_internal *st = (poly1305_internal *) ctx;
u64 h0, h1, h2;
u64 g0, g1, g2;
u128 t;
u64 mask;
h0 = st->h[0];
h1 = st->h[1];
h2 = st->h[2];
/* compare to modulus by computing h + -p */
g0 = (u64)(t = (u128)h0 + 5);
g1 = (u64)(t = (u128)h1 + (t >> 64));
g2 = h2 + (u64)(t >> 64);
/* if there was carry into 131st bit, h1:h0 = g1:g0 */
mask = 0 - (g2 >> 2);
g0 &= mask;
g1 &= mask;
mask = ~mask;
h0 = (h0 & mask) | g0;
h1 = (h1 & mask) | g1;
/* mac = (h + nonce) % (2^128) */
h0 = (u64)(t = (u128)h0 + nonce[0] + ((u64)nonce[1]<<32));
h1 = (u64)(t = (u128)h1 + nonce[2] + ((u64)nonce[3]<<32) + (t >> 64));
U64TO8(mac + 0, h0);
U64TO8(mac + 8, h1);
}
# else
# if defined(_WIN32) && !defined(__MINGW32__)
typedef unsigned __int64 u64;
# elif defined(__arch64__)
typedef unsigned long u64;
# else
typedef unsigned long long u64;
# endif
typedef struct {
u32 h[5];
u32 r[4];
} poly1305_internal;
/* store a 32-bit unsigned integer in little endian */
static void U32TO8(unsigned char *p, unsigned int v)
{
p[0] = (unsigned char)((v) & 0xff);
p[1] = (unsigned char)((v >> 8) & 0xff);
p[2] = (unsigned char)((v >> 16) & 0xff);
p[3] = (unsigned char)((v >> 24) & 0xff);
}
static void poly1305_init(void *ctx, const unsigned char key[16])
{
poly1305_internal *st = (poly1305_internal *) ctx;
/* h = 0 */
st->h[0] = 0;
st->h[1] = 0;
st->h[2] = 0;
st->h[3] = 0;
st->h[4] = 0;
/* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
st->r[0] = U8TOU32(&key[0]) & 0x0fffffff;
st->r[1] = U8TOU32(&key[4]) & 0x0ffffffc;
st->r[2] = U8TOU32(&key[8]) & 0x0ffffffc;
st->r[3] = U8TOU32(&key[12]) & 0x0ffffffc;
}
static void
poly1305_blocks(void *ctx, const unsigned char *inp, size_t len, u32 padbit)
{
poly1305_internal *st = (poly1305_internal *)ctx;
u32 r0, r1, r2, r3;
u32 s1, s2, s3;
u32 h0, h1, h2, h3, h4, c;
u64 d0, d1, d2, d3;
r0 = st->r[0];
r1 = st->r[1];
r2 = st->r[2];
r3 = st->r[3];
s1 = r1 + (r1 >> 2);
s2 = r2 + (r2 >> 2);
s3 = r3 + (r3 >> 2);
h0 = st->h[0];
h1 = st->h[1];
h2 = st->h[2];
h3 = st->h[3];
h4 = st->h[4];
while (len >= POLY1305_BLOCK_SIZE) {
/* h += m[i] */
h0 = (u32)(d0 = (u64)h0 + U8TOU32(inp + 0));
h1 = (u32)(d1 = (u64)h1 + (d0 >> 32) + U8TOU32(inp + 4));
h2 = (u32)(d2 = (u64)h2 + (d1 >> 32) + U8TOU32(inp + 8));
h3 = (u32)(d3 = (u64)h3 + (d2 >> 32) + U8TOU32(inp + 12));
h4 += (u32)(d3 >> 32) + padbit;
/* h *= r "%" p, where "%" stands for "partial remainder" */
d0 = ((u64)h0 * r0) +
((u64)h1 * s3) +
((u64)h2 * s2) +
((u64)h3 * s1);
d1 = ((u64)h0 * r1) +
((u64)h1 * r0) +
((u64)h2 * s3) +
((u64)h3 * s2) +
(h4 * s1);
d2 = ((u64)h0 * r2) +
((u64)h1 * r1) +
((u64)h2 * r0) +
((u64)h3 * s3) +
(h4 * s2);
d3 = ((u64)h0 * r3) +
((u64)h1 * r2) +
((u64)h2 * r1) +
((u64)h3 * r0) +
(h4 * s3);
h4 = (h4 * r0);
/* last reduction step: */
/* a) h4:h0 = h4<<128 + d3<<96 + d2<<64 + d1<<32 + d0 */
h0 = (u32)d0;
h1 = (u32)(d1 += d0 >> 32);
h2 = (u32)(d2 += d1 >> 32);
h3 = (u32)(d3 += d2 >> 32);
h4 += (u32)(d3 >> 32);
/* b) (h4:h0 += (h4:h0>>130) * 5) %= 2^130 */
c = (h4 >> 2) + (h4 & ~3U);
h4 &= 3;
h0 += c;
h1 += (c = CONSTANT_TIME_CARRY(h0,c));
h2 += (c = CONSTANT_TIME_CARRY(h1,c));
h3 += (c = CONSTANT_TIME_CARRY(h2,c));
h4 += CONSTANT_TIME_CARRY(h3,c);
/*
* Occasional overflows to 3rd bit of h4 are taken care of
* "naturally". If after this point we end up at the top of
* this loop, then the overflow bit will be accounted for
* in next iteration. If we end up in poly1305_emit, then
* comparison to modulus below will still count as "carry
* into 131st bit", so that properly reduced value will be
* picked in conditional move.
*/
inp += POLY1305_BLOCK_SIZE;
len -= POLY1305_BLOCK_SIZE;
}
st->h[0] = h0;
st->h[1] = h1;
st->h[2] = h2;
st->h[3] = h3;
st->h[4] = h4;
}
static void poly1305_emit(void *ctx, unsigned char mac[16],
const u32 nonce[4])
{
poly1305_internal *st = (poly1305_internal *) ctx;
u32 h0, h1, h2, h3, h4;
u32 g0, g1, g2, g3, g4;
u64 t;
u32 mask;
h0 = st->h[0];
h1 = st->h[1];
h2 = st->h[2];
h3 = st->h[3];
h4 = st->h[4];
/* compare to modulus by computing h + -p */
g0 = (u32)(t = (u64)h0 + 5);
g1 = (u32)(t = (u64)h1 + (t >> 32));
g2 = (u32)(t = (u64)h2 + (t >> 32));
g3 = (u32)(t = (u64)h3 + (t >> 32));
g4 = h4 + (u32)(t >> 32);
/* if there was carry into 131st bit, h3:h0 = g3:g0 */
mask = 0 - (g4 >> 2);
g0 &= mask;
g1 &= mask;
g2 &= mask;
g3 &= mask;
mask = ~mask;
h0 = (h0 & mask) | g0;
h1 = (h1 & mask) | g1;
h2 = (h2 & mask) | g2;
h3 = (h3 & mask) | g3;
/* mac = (h + nonce) % (2^128) */
h0 = (u32)(t = (u64)h0 + nonce[0]);
h1 = (u32)(t = (u64)h1 + (t >> 32) + nonce[1]);
h2 = (u32)(t = (u64)h2 + (t >> 32) + nonce[2]);
h3 = (u32)(t = (u64)h3 + (t >> 32) + nonce[3]);
U32TO8(mac + 0, h0);
U32TO8(mac + 4, h1);
U32TO8(mac + 8, h2);
U32TO8(mac + 12, h3);
}
# endif
#else
int poly1305_init(void *ctx, const unsigned char key[16], void *func);
void poly1305_blocks(void *ctx, const unsigned char *inp, size_t len,
unsigned int padbit);
void poly1305_emit(void *ctx, unsigned char mac[16],
const unsigned int nonce[4]);
#endif
void Poly1305_Init(POLY1305 *ctx, const unsigned char key[32])
{
ctx->nonce[0] = U8TOU32(&key[16]);
ctx->nonce[1] = U8TOU32(&key[20]);
ctx->nonce[2] = U8TOU32(&key[24]);
ctx->nonce[3] = U8TOU32(&key[28]);
#ifndef POLY1305_ASM
poly1305_init(ctx->opaque, key);
#else
/*
* Unlike reference poly1305_init assembly counterpart is expected
* to return a value: non-zero if it initializes ctx->func, and zero
* otherwise. Latter is to simplify assembly in cases when there no
* multiple code paths to switch between.
*/
if (!poly1305_init(ctx->opaque, key, &ctx->func)) {
ctx->func.blocks = poly1305_blocks;
ctx->func.emit = poly1305_emit;
}
#endif
ctx->num = 0;
}
#ifdef POLY1305_ASM
/*
* This "eclipses" poly1305_blocks and poly1305_emit, but it's
* conscious choice imposed by -Wshadow compiler warnings.
*/
# define poly1305_blocks (*poly1305_blocks_p)
# define poly1305_emit (*poly1305_emit_p)
#endif
void Poly1305_Update(POLY1305 *ctx, const unsigned char *inp, size_t len)
{
#ifdef POLY1305_ASM
/*
* As documented, poly1305_blocks is never called with input
* longer than single block and padbit argument set to 0. This
* property is fluently used in assembly modules to optimize
* padbit handling on loop boundary.
*/
poly1305_blocks_f poly1305_blocks_p = ctx->func.blocks;
#endif
size_t rem, num;
if ((num = ctx->num)) {
rem = POLY1305_BLOCK_SIZE - num;
if (len >= rem) {
memcpy(ctx->data + num, inp, rem);
poly1305_blocks(ctx->opaque, ctx->data, POLY1305_BLOCK_SIZE, 1);
inp += rem;
len -= rem;
} else {
/* Still not enough data to process a block. */
memcpy(ctx->data + num, inp, len);
ctx->num = num + len;
return;
}
}
rem = len % POLY1305_BLOCK_SIZE;
len -= rem;
if (len >= POLY1305_BLOCK_SIZE) {
poly1305_blocks(ctx->opaque, inp, len, 1);
inp += len;
}
if (rem)
memcpy(ctx->data, inp, rem);
ctx->num = rem;
}
void Poly1305_Final(POLY1305 *ctx, unsigned char mac[16])
{
#ifdef POLY1305_ASM
poly1305_blocks_f poly1305_blocks_p = ctx->func.blocks;
poly1305_emit_f poly1305_emit_p = ctx->func.emit;
#endif
size_t num;
if ((num = ctx->num)) {
ctx->data[num++] = 1; /* pad bit */
while (num < POLY1305_BLOCK_SIZE)
ctx->data[num++] = 0;
poly1305_blocks(ctx->opaque, ctx->data, POLY1305_BLOCK_SIZE, 0);
}
poly1305_emit(ctx->opaque, mac, ctx->nonce);
/* zero out the state */
OPENSSL_cleanse(ctx, sizeof(*ctx));
}
#ifdef SELFTEST
#include <stdio.h>
struct poly1305_test {
const char *inputhex;
const char *keyhex;
const char *outhex;
};
static const struct poly1305_test poly1305_tests[] = {
/*
* RFC7539
*/
{
"43727970746f6772617068696320466f72756d2052657365617263682047726f"
"7570",
"85d6be7857556d337f4452fe42d506a8""0103808afb0db2fd4abff6af4149f51b",
"a8061dc1305136c6c22b8baf0c0127a9"
},
/*
* test vectors from "The Poly1305-AES message-authentication code"
*/
{
"f3f6",
"851fc40c3467ac0be05cc20404f3f700""580b3b0f9447bb1e69d095b5928b6dbc",
"f4c633c3044fc145f84f335cb81953de"
},
{
"",
"a0f3080000f46400d0c7e9076c834403""dd3fab2251f11ac759f0887129cc2ee7",
"dd3fab2251f11ac759f0887129cc2ee7"
},
{
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136",
"48443d0bb0d21109c89a100b5ce2c208""83149c69b561dd88298a1798b10716ef",
"0ee1c16bb73f0f4fd19881753c01cdbe"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"5154ad0d2cb26e01274fc51148491f1b"
},
/*
* self-generated vectors exercise "significant" lengths, such that
* are handled by different code paths
*/
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"812059a5da198637cac7c4a631bee466"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"5b88d7f6228b11e2e28579a5c0c1f761"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"bbb613b2b6d753ba07395b916aaece15"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"c794d7057d1778c4bbee0a39b3d97342"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"ffbcb9b371423152d7fca5ad042fbaa9"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136"
"812059a5da198637cac7c4a631bee466",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"069ed6b8ef0f207b3e243bb1019fe632"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136"
"812059a5da198637cac7c4a631bee4665b88d7f6228b11e2e28579a5c0c1f761",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"cca339d9a45fa2368c2c68b3a4179133"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136"
"812059a5da198637cac7c4a631bee4665b88d7f6228b11e2e28579a5c0c1f761"
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"53f6e828a2f0fe0ee815bf0bd5841a34"
},
{
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136"
"812059a5da198637cac7c4a631bee4665b88d7f6228b11e2e28579a5c0c1f761"
"ab0812724a7f1e342742cbed374d94d136c6b8795d45b3819830f2c04491faf0"
"990c62e48b8018b2c3e4a0fa3134cb67fa83e158c994d961c4cb21095c1bf9af"
"48443d0bb0d21109c89a100b5ce2c20883149c69b561dd88298a1798b10716ef"
"663cea190ffb83d89593f3f476b6bc24d7e679107ea26adb8caf6652d0656136"
"812059a5da198637cac7c4a631bee4665b88d7f6228b11e2e28579a5c0c1f761",
"12976a08c4426d0ce8a82407c4f48207""80f8c20aa71202d1e29179cbcb555a57",
"b846d44e9bbd53cedffbfbb6b7fa4933"
},
/*
* 4th power of the key spills to 131th bit in SIMD key setup
*/
{
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"ad628107e8351d0f2c231a05dc4a4106""00000000000000000000000000000000",
"07145a4c02fe5fa32036de68fabe9066"
},
{
/*
* poly1305_ieee754.c failed this in final stage
*/
"842364e156336c0998b933a6237726180d9e3fdcbde4cd5d17080fc3beb49614"
"d7122c037463ff104d73f19c12704628d417c4c54a3fe30d3c3d7714382d43b0"
"382a50a5dee54be844b076e8df88201a1cd43b90eb21643fa96f39b518aa8340"
"c942ff3c31baf7c9bdbf0f31ae3fa096bf8c63030609829fe72e179824890bc8"
"e08c315c1cce2a83144dbbff09f74e3efc770b54d0984a8f19b14719e6363564"
"1d6b1eedf63efbf080e1783d32445412114c20de0b837a0dfa33d6b82825fff4"
"4c9a70ea54ce47f07df698e6b03323b53079364a5fc3e9dd034392bdde86dccd"
"da94321c5e44060489336cb65bf3989c36f7282c2f5d2b882c171e74",
"95d5c005503e510d8cd0aa072c4a4d06""6eabc52d11653df47fbf63ab198bcc26",
"f248312e578d9d58f8b7bb4d19105431"
},
/*
* AVX2 in poly1305-x86.pl failed this with 176+32 split
*/
{
"248ac31085b6c2adaaa38259a0d7192c5c35d1bb4ef39ad94c38d1c82479e2dd"
"2159a077024b0589bc8a20101b506f0a1ad0bbab76e83a83f1b94be6beae74e8"
"74cab692c5963a75436b776121ec9f62399a3e66b2d22707dae81933b6277f3c"
"8516bcbe26dbbd86f373103d7cf4cad1888c952118fbfbd0d7b4bedc4ae4936a"
"ff91157e7aa47c54442ea78d6ac251d324a0fbe49d89cc3521b66d16e9c66a37"
"09894e4eb0a4eedc4ae19468e66b81f2"
"71351b1d921ea551047abcc6b87a901fde7db79fa1818c11336dbc07244a40eb",
"000102030405060708090a0b0c0d0e0f""00000000000000000000000000000000",
"bc939bc5281480fa99c6d68c258ec42f"
},
/*
* test vectors from Google
*/
{
"",
"c8afaac331ee372cd6082de134943b17""4710130e9f6fea8d72293850a667d86c",
"4710130e9f6fea8d72293850a667d86c",
},
{
"48656c6c6f20776f726c6421",
"746869732069732033322d6279746520""6b657920666f7220506f6c7931333035",
"a6f745008f81c916a20dcc74eef2b2f0"
},
{
"0000000000000000000000000000000000000000000000000000000000000000",
"746869732069732033322d6279746520""6b657920666f7220506f6c7931333035",
"49ec78090e481ec6c26b33b91ccc0307"
},
{
"89dab80b7717c1db5db437860a3f70218e93e1b8f461fb677f16f35f6f87e2a9"
"1c99bc3a47ace47640cc95c345be5ecca5a3523c35cc01893af0b64a62033427"
"0372ec12482d1b1e363561698a578b359803495bb4e2ef1930b17a5190b580f1"
"41300df30adbeca28f6427a8bc1a999fd51c554a017d095d8c3e3127daf9f595",
"2d773be37adb1e4d683bf0075e79c4ee""037918535a7f99ccb7040fb5f5f43aea",
"c85d15ed44c378d6b00e23064c7bcd51"
},
{
"000000000000000b1703030200000000"
"06db1f1f368d696a810a349c0c714c9a5e7850c2407d721acded95e018d7a852"
"66a6e1289cdb4aeb18da5ac8a2b0026d24a59ad485227f3eaedbb2e7e35e1c66"
"cd60f9abf716dcc9ac42682dd7dab287a7024c4eefc321cc0574e16793e37cec"
"03c5bda42b54c114a80b57af26416c7be742005e20855c73e21dc8e2edc9d435"
"cb6f6059280011c270b71570051c1c9b3052126620bc1e2730fa066c7a509d53"
"c60e5ae1b40aa6e39e49669228c90eecb4a50db32a50bc49e90b4f4b359a1dfd"
"11749cd3867fcf2fb7bb6cd4738f6a4ad6f7ca5058f7618845af9f020f6c3b96"
"7b8f4cd4a91e2813b507ae66f2d35c18284f7292186062e10fd5510d18775351"
"ef334e7634ab4743f5b68f49adcab384d3fd75f7390f4006ef2a295c8c7a076a"
"d54546cd25d2107fbe1436c840924aaebe5b370893cd63d1325b8616fc481088"
"6bc152c53221b6df373119393255ee72bcaa880174f1717f9184fa91646f17a2"
"4ac55d16bfddca9581a92eda479201f0edbf633600d6066d1ab36d5d2415d713"
"51bbcd608a25108d25641992c1f26c531cf9f90203bc4cc19f5927d834b0a471"
"16d3884bbb164b8ec883d1ac832e56b3918a98601a08d171881541d594db399c"
"6ae6151221745aec814c45b0b05b565436fd6f137aa10a0c0b643761dbd6f9a9"
"dcb99b1a6e690854ce0769cde39761d82fcdec15f0d92d7d8e94ade8eb83fbe0",
"99e5822dd4173c995e3dae0ddefb9774""3fde3b080134b39f76e9bf8d0e88d546",
"2637408fe13086ea73f971e3425e2820"
},
/*
* test vectors from Hanno Böck
*/
{
"cccccccccccccccccccccccccccccccccccccccccccccccccc80cccccccccccc"
"cccccccccccccccccccccccccccccccccccccccccccccccccccccccccecccccc"
"ccccccccccccccccccccccccccccccc5cccccccccccccccccccccccccccccccc"
"cccccccccce3cccccccccccccccccccccccccccccccccccccccccccccccccccc"
"ccccccccaccccccccccccccccccccce6cccccccccc000000afcccccccccccccc"
"ccccfffffff50000000000000000000000000000000000000000000000000000"
"00ffffffe7000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000719205a8521d"
"fc",
"7f1b0264000000000000000000000000""0000000000000000cccccccccccccccc",
"8559b876eceed66eb37798c0457baff9"
},
{
"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa0000000000"
"00000000800264",
"e0001600000000000000000000000000""0000aaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"00bd1258978e205444c9aaaa82006fed"
},
{
"02fc",
"0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c""0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c",
"06120c0c0c0c0c0c0c0c0c0c0c0c0c0c"
},
{
"7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b"
"7b7b7b7b7b7b7a7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b"
"7b7b5c7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b"
"7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b6e7b007b7b7b7b7b7b7b7b7b"
"7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7a7b7b7b7b7b7b7b7b7b7b7b7b"
"7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b5c7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b"
"7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b7b"
"7b6e7b001300000000b300000000000000000000000000000000000000000000"
"f20000000000000000000000000000000000002000efff000900000000000000"
"0000000000100000000009000000640000000000000000000000001300000000"
"b300000000000000000000000000000000000000000000f20000000000000000"
"000000000000000000002000efff00090000000000000000007a000010000000"
"000900000064000000000000000000000000000000000000000000000000fc",
"00ff0000000000000000000000000000""00000000001e00000000000000007b7b",
"33205bbf9e9f8f7212ab9e2ab9b7e4a5"
},
{
"7777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777"
"777777777777777777777777ffffffe9e9acacacacacacacacacacac0000acac"
"ec0100acacac2caca2acacacacacacacacacacac64f2",
"0000007f0000007f0100002000000000""0000cf77777777777777777777777777",
"02ee7c8c546ddeb1a467e4c3981158b9"
},
/*
* test vectors from Andrew Moon
*/
{ /* nacl */
"8e993b9f48681273c29650ba32fc76ce48332ea7164d96a4476fb8c531a1186a"
"c0dfc17c98dce87b4da7f011ec48c97271d2c20f9b928fe2270d6fb863d51738"
"b48eeee314a7cc8ab932164548e526ae90224368517acfeabd6bb3732bc0e9da"
"99832b61ca01b6de56244a9e88d5f9b37973f622a43d14a6599b1f654cb45a74"
"e355a5",
"eea6a7251c1e72916d11c2cb214d3c25""2539121d8e234e652d651fa4c8cff880",
"f3ffc7703f9400e52a7dfb4b3d3305d9"
},
{ /* wrap 2^130-5 */
"ffffffffffffffffffffffffffffffff",
"02000000000000000000000000000000""00000000000000000000000000000000",
"03000000000000000000000000000000"
},
{ /* wrap 2^128 */
"02000000000000000000000000000000",
"02000000000000000000000000000000""ffffffffffffffffffffffffffffffff",
"03000000000000000000000000000000"
},
{ /* limb carry */
"fffffffffffffffffffffffffffffffff0ffffffffffffffffffffffffffffff"
"11000000000000000000000000000000",
"01000000000000000000000000000000""00000000000000000000000000000000",
"05000000000000000000000000000000"
},
{ /* 2^130-5 */
"fffffffffffffffffffffffffffffffffbfefefefefefefefefefefefefefefe"
"01010101010101010101010101010101",
"01000000000000000000000000000000""00000000000000000000000000000000",
"00000000000000000000000000000000"
},
{ /* 2^130-6 */
"fdffffffffffffffffffffffffffffff",
"02000000000000000000000000000000""00000000000000000000000000000000",
"faffffffffffffffffffffffffffffff"
},
{ /* 5*H+L reduction intermediate */
"e33594d7505e43b900000000000000003394d7505e4379cd0100000000000000"
"0000000000000000000000000000000001000000000000000000000000000000",
"01000000000000000400000000000000""00000000000000000000000000000000",
"14000000000000005500000000000000"
},
{ /* 5*H+L reduction final */
"e33594d7505e43b900000000000000003394d7505e4379cd0100000000000000"
"00000000000000000000000000000000",
"01000000000000000400000000000000""00000000000000000000000000000000",
"13000000000000000000000000000000"
}
};
static unsigned char hex_digit(char h)
{
int i = OPENSSL_hexchar2int(h);
if (i < 0)
abort();
return i;
}
static void hex_decode(unsigned char *out, const char *hex)
{
size_t j = 0;
while (*hex != 0) {
unsigned char v = hex_digit(*hex++);
v <<= 4;
v |= hex_digit(*hex++);
out[j++] = v;
}
}
static void hexdump(unsigned char *a, size_t len)
{
size_t i;
for (i = 0; i < len; i++)
printf("%02x", a[i]);
}
int main()
{
static const unsigned num_tests =
sizeof(poly1305_tests) / sizeof(struct poly1305_test);
unsigned i;
unsigned char key[32], out[16], expected[16];
POLY1305 poly1305;
for (i = 0; i < num_tests; i++) {
const struct poly1305_test *test = &poly1305_tests[i];
unsigned char *in;
size_t inlen = strlen(test->inputhex);
if (strlen(test->keyhex) != sizeof(key) * 2 ||
strlen(test->outhex) != sizeof(out) * 2 || (inlen & 1) == 1)
return 1;
inlen /= 2;
hex_decode(key, test->keyhex);
hex_decode(expected, test->outhex);
in = malloc(inlen);
hex_decode(in, test->inputhex);
Poly1305_Init(&poly1305, key);
Poly1305_Update(&poly1305, in, inlen);
Poly1305_Final(&poly1305, out);
if (memcmp(out, expected, sizeof(expected)) != 0) {
printf("Poly1305 test #%d failed.\n", i);
printf("got: ");
hexdump(out, sizeof(out));
printf("\nexpected: ");
hexdump(expected, sizeof(expected));
printf("\n");
return 1;
}
if (inlen > 16) {
Poly1305_Init(&poly1305, key);
Poly1305_Update(&poly1305, in, 1);
Poly1305_Update(&poly1305, in+1, inlen-1);
Poly1305_Final(&poly1305, out);
if (memcmp(out, expected, sizeof(expected)) != 0) {
printf("Poly1305 test #%d/1+(N-1) failed.\n", i);
printf("got: ");
hexdump(out, sizeof(out));
printf("\nexpected: ");
hexdump(expected, sizeof(expected));
printf("\n");
return 1;
}
}
if (inlen > 32) {
size_t half = inlen / 2;
Poly1305_Init(&poly1305, key);
Poly1305_Update(&poly1305, in, half);
Poly1305_Update(&poly1305, in+half, inlen-half);
Poly1305_Final(&poly1305, out);
if (memcmp(out, expected, sizeof(expected)) != 0) {
printf("Poly1305 test #%d/2 failed.\n", i);
printf("got: ");
hexdump(out, sizeof(out));
printf("\nexpected: ");
hexdump(expected, sizeof(expected));
printf("\n");
return 1;
}
for (half = 16; half < inlen; half += 16) {
Poly1305_Init(&poly1305, key);
Poly1305_Update(&poly1305, in, half);
Poly1305_Update(&poly1305, in+half, inlen-half);
Poly1305_Final(&poly1305, out);
if (memcmp(out, expected, sizeof(expected)) != 0) {
printf("Poly1305 test #%d/%d+%d failed.\n",
i, half, inlen-half);
printf("got: ");
hexdump(out, sizeof(out));
printf("\nexpected: ");
hexdump(expected, sizeof(expected));
printf("\n");
return 1;
}
}
}
free(in);
}
printf("PASS\n");
# ifdef OPENSSL_CPUID_OBJ
{
unsigned char buf[8192];
unsigned long long stopwatch;
unsigned long long OPENSSL_rdtsc();
memset (buf,0x55,sizeof(buf));
memset (key,0xAA,sizeof(key));
Poly1305_Init(&poly1305, key);
for (i=0;i<100000;i++)
Poly1305_Update(&poly1305,buf,sizeof(buf));
stopwatch = OPENSSL_rdtsc();
for (i=0;i<10000;i++)
Poly1305_Update(&poly1305,buf,sizeof(buf));
stopwatch = OPENSSL_rdtsc() - stopwatch;
printf("%g\n",stopwatch/(double)(i*sizeof(buf)));
stopwatch = OPENSSL_rdtsc();
for (i=0;i<10000;i++) {
Poly1305_Init(&poly1305, key);
Poly1305_Update(&poly1305,buf,16);
Poly1305_Final(&poly1305,buf);
}
stopwatch = OPENSSL_rdtsc() - stopwatch;
printf("%g\n",stopwatch/(double)(i));
}
# endif
return 0;
}
#endif
