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      1 /* Copyright (c) 2014, Google Inc.
      2  *
      3  * Permission to use, copy, modify, and/or distribute this software for any
      4  * purpose with or without fee is hereby granted, provided that the above
      5  * copyright notice and this permission notice appear in all copies.
      6  *
      7  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
      8  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
      9  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
     10  * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
     11  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
     12  * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
     13  * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
     14 
     15 /* This implementation of poly1305 is by Andrew Moon
     16  * (https://github.com/floodyberry/poly1305-donna) and released as public
     17  * domain. It implements SIMD vectorization based on the algorithm described in
     18  * http://cr.yp.to/papers.html#neoncrypto. Unrolled to 2 powers, i.e. 64 byte
     19  * block size */
     20 
     21 #include <openssl/poly1305.h>
     22 
     23 
     24 #if !defined(OPENSSL_WINDOWS) && defined(OPENSSL_X86_64)
     25 
     26 #include <emmintrin.h>
     27 
     28 #define ALIGN(x) __attribute__((aligned(x)))
     29 /* inline is not a keyword in C89. */
     30 #define INLINE
     31 #define U8TO64_LE(m) (*(uint64_t *)(m))
     32 #define U8TO32_LE(m) (*(uint32_t *)(m))
     33 #define U64TO8_LE(m, v) (*(uint64_t *)(m)) = v
     34 
     35 typedef __m128i xmmi;
     36 typedef unsigned __int128 uint128_t;
     37 
     38 static const uint32_t ALIGN(16) poly1305_x64_sse2_message_mask[4] = {
     39     (1 << 26) - 1, 0, (1 << 26) - 1, 0};
     40 static const uint32_t ALIGN(16) poly1305_x64_sse2_5[4] = {5, 0, 5, 0};
     41 static const uint32_t ALIGN(16) poly1305_x64_sse2_1shl128[4] = {(1 << 24), 0,
     42                                                                 (1 << 24), 0};
     43 
     44 static uint128_t INLINE add128(uint128_t a, uint128_t b) { return a + b; }
     45 
     46 static uint128_t INLINE add128_64(uint128_t a, uint64_t b) { return a + b; }
     47 
     48 static uint128_t INLINE mul64x64_128(uint64_t a, uint64_t b) {
     49   return (uint128_t)a * b;
     50 }
     51 
     52 static uint64_t INLINE lo128(uint128_t a) { return (uint64_t)a; }
     53 
     54 static uint64_t INLINE shr128(uint128_t v, const int shift) {
     55   return (uint64_t)(v >> shift);
     56 }
     57 
     58 static uint64_t INLINE shr128_pair(uint64_t hi, uint64_t lo, const int shift) {
     59   return (uint64_t)((((uint128_t)hi << 64) | lo) >> shift);
     60 }
     61 
     62 typedef struct poly1305_power_t {
     63   union {
     64     xmmi v;
     65     uint64_t u[2];
     66     uint32_t d[4];
     67   } R20, R21, R22, R23, R24, S21, S22, S23, S24;
     68 } poly1305_power;
     69 
     70 typedef struct poly1305_state_internal_t {
     71   poly1305_power P[2]; /* 288 bytes, top 32 bit halves unused = 144
     72                           bytes of free storage */
     73   union {
     74     xmmi H[5]; /*  80 bytes  */
     75     uint64_t HH[10];
     76   };
     77   /* uint64_t r0,r1,r2;       [24 bytes] */
     78   /* uint64_t pad0,pad1;      [16 bytes] */
     79   uint64_t started;        /*   8 bytes  */
     80   uint64_t leftover;       /*   8 bytes  */
     81   uint8_t buffer[64];      /*  64 bytes  */
     82 } poly1305_state_internal; /* 448 bytes total + 63 bytes for
     83                               alignment = 511 bytes raw */
     84 
     85 static poly1305_state_internal INLINE *poly1305_aligned_state(
     86     poly1305_state *state) {
     87   return (poly1305_state_internal *)(((uint64_t)state + 63) & ~63);
     88 }
     89 
     90 /* copy 0-63 bytes */
     91 static void INLINE
     92 poly1305_block_copy(uint8_t *dst, const uint8_t *src, size_t bytes) {
     93   size_t offset = src - dst;
     94   if (bytes & 32) {
     95     _mm_storeu_si128((xmmi *)(dst + 0),
     96                      _mm_loadu_si128((xmmi *)(dst + offset + 0)));
     97     _mm_storeu_si128((xmmi *)(dst + 16),
     98                      _mm_loadu_si128((xmmi *)(dst + offset + 16)));
     99     dst += 32;
    100   }
    101   if (bytes & 16) {
    102     _mm_storeu_si128((xmmi *)dst, _mm_loadu_si128((xmmi *)(dst + offset)));
    103     dst += 16;
    104   }
    105   if (bytes & 8) {
    106     *(uint64_t *)dst = *(uint64_t *)(dst + offset);
    107     dst += 8;
    108   }
    109   if (bytes & 4) {
    110     *(uint32_t *)dst = *(uint32_t *)(dst + offset);
    111     dst += 4;
    112   }
    113   if (bytes & 2) {
    114     *(uint16_t *)dst = *(uint16_t *)(dst + offset);
    115     dst += 2;
    116   }
    117   if (bytes & 1) {
    118     *(uint8_t *)dst = *(uint8_t *)(dst + offset);
    119   }
    120 }
    121 
    122 /* zero 0-15 bytes */
    123 static void INLINE poly1305_block_zero(uint8_t *dst, size_t bytes) {
    124   if (bytes & 8) {
    125     *(uint64_t *)dst = 0;
    126     dst += 8;
    127   }
    128   if (bytes & 4) {
    129     *(uint32_t *)dst = 0;
    130     dst += 4;
    131   }
    132   if (bytes & 2) {
    133     *(uint16_t *)dst = 0;
    134     dst += 2;
    135   }
    136   if (bytes & 1) {
    137     *(uint8_t *)dst = 0;
    138   }
    139 }
    140 
    141 static size_t INLINE poly1305_min(size_t a, size_t b) {
    142   return (a < b) ? a : b;
    143 }
    144 
    145 void CRYPTO_poly1305_init(poly1305_state *state, const uint8_t key[32]) {
    146   poly1305_state_internal *st = poly1305_aligned_state(state);
    147   poly1305_power *p;
    148   uint64_t r0, r1, r2;
    149   uint64_t t0, t1;
    150 
    151   /* clamp key */
    152   t0 = U8TO64_LE(key + 0);
    153   t1 = U8TO64_LE(key + 8);
    154   r0 = t0 & 0xffc0fffffff;
    155   t0 >>= 44;
    156   t0 |= t1 << 20;
    157   r1 = t0 & 0xfffffc0ffff;
    158   t1 >>= 24;
    159   r2 = t1 & 0x00ffffffc0f;
    160 
    161   /* store r in un-used space of st->P[1] */
    162   p = &st->P[1];
    163   p->R20.d[1] = (uint32_t)(r0);
    164   p->R20.d[3] = (uint32_t)(r0 >> 32);
    165   p->R21.d[1] = (uint32_t)(r1);
    166   p->R21.d[3] = (uint32_t)(r1 >> 32);
    167   p->R22.d[1] = (uint32_t)(r2);
    168   p->R22.d[3] = (uint32_t)(r2 >> 32);
    169 
    170   /* store pad */
    171   p->R23.d[1] = U8TO32_LE(key + 16);
    172   p->R23.d[3] = U8TO32_LE(key + 20);
    173   p->R24.d[1] = U8TO32_LE(key + 24);
    174   p->R24.d[3] = U8TO32_LE(key + 28);
    175 
    176   /* H = 0 */
    177   st->H[0] = _mm_setzero_si128();
    178   st->H[1] = _mm_setzero_si128();
    179   st->H[2] = _mm_setzero_si128();
    180   st->H[3] = _mm_setzero_si128();
    181   st->H[4] = _mm_setzero_si128();
    182 
    183   st->started = 0;
    184   st->leftover = 0;
    185 }
    186 
    187 static void poly1305_first_block(poly1305_state_internal *st,
    188                                  const uint8_t *m) {
    189   const xmmi MMASK = _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
    190   const xmmi FIVE = _mm_load_si128((xmmi *)poly1305_x64_sse2_5);
    191   const xmmi HIBIT = _mm_load_si128((xmmi *)poly1305_x64_sse2_1shl128);
    192   xmmi T5, T6;
    193   poly1305_power *p;
    194   uint128_t d[3];
    195   uint64_t r0, r1, r2;
    196   uint64_t r20, r21, r22, s22;
    197   uint64_t pad0, pad1;
    198   uint64_t c;
    199   uint64_t i;
    200 
    201   /* pull out stored info */
    202   p = &st->P[1];
    203 
    204   r0 = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
    205   r1 = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
    206   r2 = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
    207   pad0 = ((uint64_t)p->R23.d[3] << 32) | (uint64_t)p->R23.d[1];
    208   pad1 = ((uint64_t)p->R24.d[3] << 32) | (uint64_t)p->R24.d[1];
    209 
    210   /* compute powers r^2,r^4 */
    211   r20 = r0;
    212   r21 = r1;
    213   r22 = r2;
    214   for (i = 0; i < 2; i++) {
    215     s22 = r22 * (5 << 2);
    216 
    217     d[0] = add128(mul64x64_128(r20, r20), mul64x64_128(r21 * 2, s22));
    218     d[1] = add128(mul64x64_128(r22, s22), mul64x64_128(r20 * 2, r21));
    219     d[2] = add128(mul64x64_128(r21, r21), mul64x64_128(r22 * 2, r20));
    220 
    221     r20 = lo128(d[0]) & 0xfffffffffff;
    222     c = shr128(d[0], 44);
    223     d[1] = add128_64(d[1], c);
    224     r21 = lo128(d[1]) & 0xfffffffffff;
    225     c = shr128(d[1], 44);
    226     d[2] = add128_64(d[2], c);
    227     r22 = lo128(d[2]) & 0x3ffffffffff;
    228     c = shr128(d[2], 42);
    229     r20 += c * 5;
    230     c = (r20 >> 44);
    231     r20 = r20 & 0xfffffffffff;
    232     r21 += c;
    233 
    234     p->R20.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)(r20)&0x3ffffff),
    235                                  _MM_SHUFFLE(1, 0, 1, 0));
    236     p->R21.v = _mm_shuffle_epi32(
    237         _mm_cvtsi32_si128((uint32_t)((r20 >> 26) | (r21 << 18)) & 0x3ffffff),
    238         _MM_SHUFFLE(1, 0, 1, 0));
    239     p->R22.v =
    240         _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r21 >> 8)) & 0x3ffffff),
    241                           _MM_SHUFFLE(1, 0, 1, 0));
    242     p->R23.v = _mm_shuffle_epi32(
    243         _mm_cvtsi32_si128((uint32_t)((r21 >> 34) | (r22 << 10)) & 0x3ffffff),
    244         _MM_SHUFFLE(1, 0, 1, 0));
    245     p->R24.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r22 >> 16))),
    246                                  _MM_SHUFFLE(1, 0, 1, 0));
    247     p->S21.v = _mm_mul_epu32(p->R21.v, FIVE);
    248     p->S22.v = _mm_mul_epu32(p->R22.v, FIVE);
    249     p->S23.v = _mm_mul_epu32(p->R23.v, FIVE);
    250     p->S24.v = _mm_mul_epu32(p->R24.v, FIVE);
    251     p--;
    252   }
    253 
    254   /* put saved info back */
    255   p = &st->P[1];
    256   p->R20.d[1] = (uint32_t)(r0);
    257   p->R20.d[3] = (uint32_t)(r0 >> 32);
    258   p->R21.d[1] = (uint32_t)(r1);
    259   p->R21.d[3] = (uint32_t)(r1 >> 32);
    260   p->R22.d[1] = (uint32_t)(r2);
    261   p->R22.d[3] = (uint32_t)(r2 >> 32);
    262   p->R23.d[1] = (uint32_t)(pad0);
    263   p->R23.d[3] = (uint32_t)(pad0 >> 32);
    264   p->R24.d[1] = (uint32_t)(pad1);
    265   p->R24.d[3] = (uint32_t)(pad1 >> 32);
    266 
    267   /* H = [Mx,My] */
    268   T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)),
    269                           _mm_loadl_epi64((xmmi *)(m + 16)));
    270   T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)),
    271                           _mm_loadl_epi64((xmmi *)(m + 24)));
    272   st->H[0] = _mm_and_si128(MMASK, T5);
    273   st->H[1] = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    274   T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
    275   st->H[2] = _mm_and_si128(MMASK, T5);
    276   st->H[3] = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    277   st->H[4] = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
    278 }
    279 
    280 static void poly1305_blocks(poly1305_state_internal *st, const uint8_t *m,
    281                             size_t bytes) {
    282   const xmmi MMASK = _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
    283   const xmmi FIVE = _mm_load_si128((xmmi *)poly1305_x64_sse2_5);
    284   const xmmi HIBIT = _mm_load_si128((xmmi *)poly1305_x64_sse2_1shl128);
    285 
    286   poly1305_power *p;
    287   xmmi H0, H1, H2, H3, H4;
    288   xmmi T0, T1, T2, T3, T4, T5, T6;
    289   xmmi M0, M1, M2, M3, M4;
    290   xmmi C1, C2;
    291 
    292   H0 = st->H[0];
    293   H1 = st->H[1];
    294   H2 = st->H[2];
    295   H3 = st->H[3];
    296   H4 = st->H[4];
    297 
    298   while (bytes >= 64) {
    299     /* H *= [r^4,r^4] */
    300     p = &st->P[0];
    301     T0 = _mm_mul_epu32(H0, p->R20.v);
    302     T1 = _mm_mul_epu32(H0, p->R21.v);
    303     T2 = _mm_mul_epu32(H0, p->R22.v);
    304     T3 = _mm_mul_epu32(H0, p->R23.v);
    305     T4 = _mm_mul_epu32(H0, p->R24.v);
    306     T5 = _mm_mul_epu32(H1, p->S24.v);
    307     T6 = _mm_mul_epu32(H1, p->R20.v);
    308     T0 = _mm_add_epi64(T0, T5);
    309     T1 = _mm_add_epi64(T1, T6);
    310     T5 = _mm_mul_epu32(H2, p->S23.v);
    311     T6 = _mm_mul_epu32(H2, p->S24.v);
    312     T0 = _mm_add_epi64(T0, T5);
    313     T1 = _mm_add_epi64(T1, T6);
    314     T5 = _mm_mul_epu32(H3, p->S22.v);
    315     T6 = _mm_mul_epu32(H3, p->S23.v);
    316     T0 = _mm_add_epi64(T0, T5);
    317     T1 = _mm_add_epi64(T1, T6);
    318     T5 = _mm_mul_epu32(H4, p->S21.v);
    319     T6 = _mm_mul_epu32(H4, p->S22.v);
    320     T0 = _mm_add_epi64(T0, T5);
    321     T1 = _mm_add_epi64(T1, T6);
    322     T5 = _mm_mul_epu32(H1, p->R21.v);
    323     T6 = _mm_mul_epu32(H1, p->R22.v);
    324     T2 = _mm_add_epi64(T2, T5);
    325     T3 = _mm_add_epi64(T3, T6);
    326     T5 = _mm_mul_epu32(H2, p->R20.v);
    327     T6 = _mm_mul_epu32(H2, p->R21.v);
    328     T2 = _mm_add_epi64(T2, T5);
    329     T3 = _mm_add_epi64(T3, T6);
    330     T5 = _mm_mul_epu32(H3, p->S24.v);
    331     T6 = _mm_mul_epu32(H3, p->R20.v);
    332     T2 = _mm_add_epi64(T2, T5);
    333     T3 = _mm_add_epi64(T3, T6);
    334     T5 = _mm_mul_epu32(H4, p->S23.v);
    335     T6 = _mm_mul_epu32(H4, p->S24.v);
    336     T2 = _mm_add_epi64(T2, T5);
    337     T3 = _mm_add_epi64(T3, T6);
    338     T5 = _mm_mul_epu32(H1, p->R23.v);
    339     T4 = _mm_add_epi64(T4, T5);
    340     T5 = _mm_mul_epu32(H2, p->R22.v);
    341     T4 = _mm_add_epi64(T4, T5);
    342     T5 = _mm_mul_epu32(H3, p->R21.v);
    343     T4 = _mm_add_epi64(T4, T5);
    344     T5 = _mm_mul_epu32(H4, p->R20.v);
    345     T4 = _mm_add_epi64(T4, T5);
    346 
    347     /* H += [Mx,My]*[r^2,r^2] */
    348     T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)),
    349                             _mm_loadl_epi64((xmmi *)(m + 16)));
    350     T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)),
    351                             _mm_loadl_epi64((xmmi *)(m + 24)));
    352     M0 = _mm_and_si128(MMASK, T5);
    353     M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    354     T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
    355     M2 = _mm_and_si128(MMASK, T5);
    356     M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    357     M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
    358 
    359     p = &st->P[1];
    360     T5 = _mm_mul_epu32(M0, p->R20.v);
    361     T6 = _mm_mul_epu32(M0, p->R21.v);
    362     T0 = _mm_add_epi64(T0, T5);
    363     T1 = _mm_add_epi64(T1, T6);
    364     T5 = _mm_mul_epu32(M1, p->S24.v);
    365     T6 = _mm_mul_epu32(M1, p->R20.v);
    366     T0 = _mm_add_epi64(T0, T5);
    367     T1 = _mm_add_epi64(T1, T6);
    368     T5 = _mm_mul_epu32(M2, p->S23.v);
    369     T6 = _mm_mul_epu32(M2, p->S24.v);
    370     T0 = _mm_add_epi64(T0, T5);
    371     T1 = _mm_add_epi64(T1, T6);
    372     T5 = _mm_mul_epu32(M3, p->S22.v);
    373     T6 = _mm_mul_epu32(M3, p->S23.v);
    374     T0 = _mm_add_epi64(T0, T5);
    375     T1 = _mm_add_epi64(T1, T6);
    376     T5 = _mm_mul_epu32(M4, p->S21.v);
    377     T6 = _mm_mul_epu32(M4, p->S22.v);
    378     T0 = _mm_add_epi64(T0, T5);
    379     T1 = _mm_add_epi64(T1, T6);
    380     T5 = _mm_mul_epu32(M0, p->R22.v);
    381     T6 = _mm_mul_epu32(M0, p->R23.v);
    382     T2 = _mm_add_epi64(T2, T5);
    383     T3 = _mm_add_epi64(T3, T6);
    384     T5 = _mm_mul_epu32(M1, p->R21.v);
    385     T6 = _mm_mul_epu32(M1, p->R22.v);
    386     T2 = _mm_add_epi64(T2, T5);
    387     T3 = _mm_add_epi64(T3, T6);
    388     T5 = _mm_mul_epu32(M2, p->R20.v);
    389     T6 = _mm_mul_epu32(M2, p->R21.v);
    390     T2 = _mm_add_epi64(T2, T5);
    391     T3 = _mm_add_epi64(T3, T6);
    392     T5 = _mm_mul_epu32(M3, p->S24.v);
    393     T6 = _mm_mul_epu32(M3, p->R20.v);
    394     T2 = _mm_add_epi64(T2, T5);
    395     T3 = _mm_add_epi64(T3, T6);
    396     T5 = _mm_mul_epu32(M4, p->S23.v);
    397     T6 = _mm_mul_epu32(M4, p->S24.v);
    398     T2 = _mm_add_epi64(T2, T5);
    399     T3 = _mm_add_epi64(T3, T6);
    400     T5 = _mm_mul_epu32(M0, p->R24.v);
    401     T4 = _mm_add_epi64(T4, T5);
    402     T5 = _mm_mul_epu32(M1, p->R23.v);
    403     T4 = _mm_add_epi64(T4, T5);
    404     T5 = _mm_mul_epu32(M2, p->R22.v);
    405     T4 = _mm_add_epi64(T4, T5);
    406     T5 = _mm_mul_epu32(M3, p->R21.v);
    407     T4 = _mm_add_epi64(T4, T5);
    408     T5 = _mm_mul_epu32(M4, p->R20.v);
    409     T4 = _mm_add_epi64(T4, T5);
    410 
    411     /* H += [Mx,My] */
    412     T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 32)),
    413                             _mm_loadl_epi64((xmmi *)(m + 48)));
    414     T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 40)),
    415                             _mm_loadl_epi64((xmmi *)(m + 56)));
    416     M0 = _mm_and_si128(MMASK, T5);
    417     M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    418     T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
    419     M2 = _mm_and_si128(MMASK, T5);
    420     M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    421     M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
    422 
    423     T0 = _mm_add_epi64(T0, M0);
    424     T1 = _mm_add_epi64(T1, M1);
    425     T2 = _mm_add_epi64(T2, M2);
    426     T3 = _mm_add_epi64(T3, M3);
    427     T4 = _mm_add_epi64(T4, M4);
    428 
    429     /* reduce */
    430     C1 = _mm_srli_epi64(T0, 26);
    431     C2 = _mm_srli_epi64(T3, 26);
    432     T0 = _mm_and_si128(T0, MMASK);
    433     T3 = _mm_and_si128(T3, MMASK);
    434     T1 = _mm_add_epi64(T1, C1);
    435     T4 = _mm_add_epi64(T4, C2);
    436     C1 = _mm_srli_epi64(T1, 26);
    437     C2 = _mm_srli_epi64(T4, 26);
    438     T1 = _mm_and_si128(T1, MMASK);
    439     T4 = _mm_and_si128(T4, MMASK);
    440     T2 = _mm_add_epi64(T2, C1);
    441     T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
    442     C1 = _mm_srli_epi64(T2, 26);
    443     C2 = _mm_srli_epi64(T0, 26);
    444     T2 = _mm_and_si128(T2, MMASK);
    445     T0 = _mm_and_si128(T0, MMASK);
    446     T3 = _mm_add_epi64(T3, C1);
    447     T1 = _mm_add_epi64(T1, C2);
    448     C1 = _mm_srli_epi64(T3, 26);
    449     T3 = _mm_and_si128(T3, MMASK);
    450     T4 = _mm_add_epi64(T4, C1);
    451 
    452     /* H = (H*[r^4,r^4] + [Mx,My]*[r^2,r^2] + [Mx,My]) */
    453     H0 = T0;
    454     H1 = T1;
    455     H2 = T2;
    456     H3 = T3;
    457     H4 = T4;
    458 
    459     m += 64;
    460     bytes -= 64;
    461   }
    462 
    463   st->H[0] = H0;
    464   st->H[1] = H1;
    465   st->H[2] = H2;
    466   st->H[3] = H3;
    467   st->H[4] = H4;
    468 }
    469 
    470 static size_t poly1305_combine(poly1305_state_internal *st, const uint8_t *m,
    471                                size_t bytes) {
    472   const xmmi MMASK = _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
    473   const xmmi HIBIT = _mm_load_si128((xmmi *)poly1305_x64_sse2_1shl128);
    474   const xmmi FIVE = _mm_load_si128((xmmi *)poly1305_x64_sse2_5);
    475 
    476   poly1305_power *p;
    477   xmmi H0, H1, H2, H3, H4;
    478   xmmi M0, M1, M2, M3, M4;
    479   xmmi T0, T1, T2, T3, T4, T5, T6;
    480   xmmi C1, C2;
    481 
    482   uint64_t r0, r1, r2;
    483   uint64_t t0, t1, t2, t3, t4;
    484   uint64_t c;
    485   size_t consumed = 0;
    486 
    487   H0 = st->H[0];
    488   H1 = st->H[1];
    489   H2 = st->H[2];
    490   H3 = st->H[3];
    491   H4 = st->H[4];
    492 
    493   /* p = [r^2,r^2] */
    494   p = &st->P[1];
    495 
    496   if (bytes >= 32) {
    497     /* H *= [r^2,r^2] */
    498     T0 = _mm_mul_epu32(H0, p->R20.v);
    499     T1 = _mm_mul_epu32(H0, p->R21.v);
    500     T2 = _mm_mul_epu32(H0, p->R22.v);
    501     T3 = _mm_mul_epu32(H0, p->R23.v);
    502     T4 = _mm_mul_epu32(H0, p->R24.v);
    503     T5 = _mm_mul_epu32(H1, p->S24.v);
    504     T6 = _mm_mul_epu32(H1, p->R20.v);
    505     T0 = _mm_add_epi64(T0, T5);
    506     T1 = _mm_add_epi64(T1, T6);
    507     T5 = _mm_mul_epu32(H2, p->S23.v);
    508     T6 = _mm_mul_epu32(H2, p->S24.v);
    509     T0 = _mm_add_epi64(T0, T5);
    510     T1 = _mm_add_epi64(T1, T6);
    511     T5 = _mm_mul_epu32(H3, p->S22.v);
    512     T6 = _mm_mul_epu32(H3, p->S23.v);
    513     T0 = _mm_add_epi64(T0, T5);
    514     T1 = _mm_add_epi64(T1, T6);
    515     T5 = _mm_mul_epu32(H4, p->S21.v);
    516     T6 = _mm_mul_epu32(H4, p->S22.v);
    517     T0 = _mm_add_epi64(T0, T5);
    518     T1 = _mm_add_epi64(T1, T6);
    519     T5 = _mm_mul_epu32(H1, p->R21.v);
    520     T6 = _mm_mul_epu32(H1, p->R22.v);
    521     T2 = _mm_add_epi64(T2, T5);
    522     T3 = _mm_add_epi64(T3, T6);
    523     T5 = _mm_mul_epu32(H2, p->R20.v);
    524     T6 = _mm_mul_epu32(H2, p->R21.v);
    525     T2 = _mm_add_epi64(T2, T5);
    526     T3 = _mm_add_epi64(T3, T6);
    527     T5 = _mm_mul_epu32(H3, p->S24.v);
    528     T6 = _mm_mul_epu32(H3, p->R20.v);
    529     T2 = _mm_add_epi64(T2, T5);
    530     T3 = _mm_add_epi64(T3, T6);
    531     T5 = _mm_mul_epu32(H4, p->S23.v);
    532     T6 = _mm_mul_epu32(H4, p->S24.v);
    533     T2 = _mm_add_epi64(T2, T5);
    534     T3 = _mm_add_epi64(T3, T6);
    535     T5 = _mm_mul_epu32(H1, p->R23.v);
    536     T4 = _mm_add_epi64(T4, T5);
    537     T5 = _mm_mul_epu32(H2, p->R22.v);
    538     T4 = _mm_add_epi64(T4, T5);
    539     T5 = _mm_mul_epu32(H3, p->R21.v);
    540     T4 = _mm_add_epi64(T4, T5);
    541     T5 = _mm_mul_epu32(H4, p->R20.v);
    542     T4 = _mm_add_epi64(T4, T5);
    543 
    544     /* H += [Mx,My] */
    545     T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)),
    546                             _mm_loadl_epi64((xmmi *)(m + 16)));
    547     T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)),
    548                             _mm_loadl_epi64((xmmi *)(m + 24)));
    549     M0 = _mm_and_si128(MMASK, T5);
    550     M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    551     T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
    552     M2 = _mm_and_si128(MMASK, T5);
    553     M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
    554     M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
    555 
    556     T0 = _mm_add_epi64(T0, M0);
    557     T1 = _mm_add_epi64(T1, M1);
    558     T2 = _mm_add_epi64(T2, M2);
    559     T3 = _mm_add_epi64(T3, M3);
    560     T4 = _mm_add_epi64(T4, M4);
    561 
    562     /* reduce */
    563     C1 = _mm_srli_epi64(T0, 26);
    564     C2 = _mm_srli_epi64(T3, 26);
    565     T0 = _mm_and_si128(T0, MMASK);
    566     T3 = _mm_and_si128(T3, MMASK);
    567     T1 = _mm_add_epi64(T1, C1);
    568     T4 = _mm_add_epi64(T4, C2);
    569     C1 = _mm_srli_epi64(T1, 26);
    570     C2 = _mm_srli_epi64(T4, 26);
    571     T1 = _mm_and_si128(T1, MMASK);
    572     T4 = _mm_and_si128(T4, MMASK);
    573     T2 = _mm_add_epi64(T2, C1);
    574     T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
    575     C1 = _mm_srli_epi64(T2, 26);
    576     C2 = _mm_srli_epi64(T0, 26);
    577     T2 = _mm_and_si128(T2, MMASK);
    578     T0 = _mm_and_si128(T0, MMASK);
    579     T3 = _mm_add_epi64(T3, C1);
    580     T1 = _mm_add_epi64(T1, C2);
    581     C1 = _mm_srli_epi64(T3, 26);
    582     T3 = _mm_and_si128(T3, MMASK);
    583     T4 = _mm_add_epi64(T4, C1);
    584 
    585     /* H = (H*[r^2,r^2] + [Mx,My]) */
    586     H0 = T0;
    587     H1 = T1;
    588     H2 = T2;
    589     H3 = T3;
    590     H4 = T4;
    591 
    592     consumed = 32;
    593   }
    594 
    595   /* finalize, H *= [r^2,r] */
    596   r0 = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
    597   r1 = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
    598   r2 = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
    599 
    600   p->R20.d[2] = (uint32_t)(r0)&0x3ffffff;
    601   p->R21.d[2] = (uint32_t)((r0 >> 26) | (r1 << 18)) & 0x3ffffff;
    602   p->R22.d[2] = (uint32_t)((r1 >> 8)) & 0x3ffffff;
    603   p->R23.d[2] = (uint32_t)((r1 >> 34) | (r2 << 10)) & 0x3ffffff;
    604   p->R24.d[2] = (uint32_t)((r2 >> 16));
    605   p->S21.d[2] = p->R21.d[2] * 5;
    606   p->S22.d[2] = p->R22.d[2] * 5;
    607   p->S23.d[2] = p->R23.d[2] * 5;
    608   p->S24.d[2] = p->R24.d[2] * 5;
    609 
    610   /* H *= [r^2,r] */
    611   T0 = _mm_mul_epu32(H0, p->R20.v);
    612   T1 = _mm_mul_epu32(H0, p->R21.v);
    613   T2 = _mm_mul_epu32(H0, p->R22.v);
    614   T3 = _mm_mul_epu32(H0, p->R23.v);
    615   T4 = _mm_mul_epu32(H0, p->R24.v);
    616   T5 = _mm_mul_epu32(H1, p->S24.v);
    617   T6 = _mm_mul_epu32(H1, p->R20.v);
    618   T0 = _mm_add_epi64(T0, T5);
    619   T1 = _mm_add_epi64(T1, T6);
    620   T5 = _mm_mul_epu32(H2, p->S23.v);
    621   T6 = _mm_mul_epu32(H2, p->S24.v);
    622   T0 = _mm_add_epi64(T0, T5);
    623   T1 = _mm_add_epi64(T1, T6);
    624   T5 = _mm_mul_epu32(H3, p->S22.v);
    625   T6 = _mm_mul_epu32(H3, p->S23.v);
    626   T0 = _mm_add_epi64(T0, T5);
    627   T1 = _mm_add_epi64(T1, T6);
    628   T5 = _mm_mul_epu32(H4, p->S21.v);
    629   T6 = _mm_mul_epu32(H4, p->S22.v);
    630   T0 = _mm_add_epi64(T0, T5);
    631   T1 = _mm_add_epi64(T1, T6);
    632   T5 = _mm_mul_epu32(H1, p->R21.v);
    633   T6 = _mm_mul_epu32(H1, p->R22.v);
    634   T2 = _mm_add_epi64(T2, T5);
    635   T3 = _mm_add_epi64(T3, T6);
    636   T5 = _mm_mul_epu32(H2, p->R20.v);
    637   T6 = _mm_mul_epu32(H2, p->R21.v);
    638   T2 = _mm_add_epi64(T2, T5);
    639   T3 = _mm_add_epi64(T3, T6);
    640   T5 = _mm_mul_epu32(H3, p->S24.v);
    641   T6 = _mm_mul_epu32(H3, p->R20.v);
    642   T2 = _mm_add_epi64(T2, T5);
    643   T3 = _mm_add_epi64(T3, T6);
    644   T5 = _mm_mul_epu32(H4, p->S23.v);
    645   T6 = _mm_mul_epu32(H4, p->S24.v);
    646   T2 = _mm_add_epi64(T2, T5);
    647   T3 = _mm_add_epi64(T3, T6);
    648   T5 = _mm_mul_epu32(H1, p->R23.v);
    649   T4 = _mm_add_epi64(T4, T5);
    650   T5 = _mm_mul_epu32(H2, p->R22.v);
    651   T4 = _mm_add_epi64(T4, T5);
    652   T5 = _mm_mul_epu32(H3, p->R21.v);
    653   T4 = _mm_add_epi64(T4, T5);
    654   T5 = _mm_mul_epu32(H4, p->R20.v);
    655   T4 = _mm_add_epi64(T4, T5);
    656 
    657   C1 = _mm_srli_epi64(T0, 26);
    658   C2 = _mm_srli_epi64(T3, 26);
    659   T0 = _mm_and_si128(T0, MMASK);
    660   T3 = _mm_and_si128(T3, MMASK);
    661   T1 = _mm_add_epi64(T1, C1);
    662   T4 = _mm_add_epi64(T4, C2);
    663   C1 = _mm_srli_epi64(T1, 26);
    664   C2 = _mm_srli_epi64(T4, 26);
    665   T1 = _mm_and_si128(T1, MMASK);
    666   T4 = _mm_and_si128(T4, MMASK);
    667   T2 = _mm_add_epi64(T2, C1);
    668   T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
    669   C1 = _mm_srli_epi64(T2, 26);
    670   C2 = _mm_srli_epi64(T0, 26);
    671   T2 = _mm_and_si128(T2, MMASK);
    672   T0 = _mm_and_si128(T0, MMASK);
    673   T3 = _mm_add_epi64(T3, C1);
    674   T1 = _mm_add_epi64(T1, C2);
    675   C1 = _mm_srli_epi64(T3, 26);
    676   T3 = _mm_and_si128(T3, MMASK);
    677   T4 = _mm_add_epi64(T4, C1);
    678 
    679   /* H = H[0]+H[1] */
    680   H0 = _mm_add_epi64(T0, _mm_srli_si128(T0, 8));
    681   H1 = _mm_add_epi64(T1, _mm_srli_si128(T1, 8));
    682   H2 = _mm_add_epi64(T2, _mm_srli_si128(T2, 8));
    683   H3 = _mm_add_epi64(T3, _mm_srli_si128(T3, 8));
    684   H4 = _mm_add_epi64(T4, _mm_srli_si128(T4, 8));
    685 
    686   t0 = _mm_cvtsi128_si32(H0);
    687   c = (t0 >> 26);
    688   t0 &= 0x3ffffff;
    689   t1 = _mm_cvtsi128_si32(H1) + c;
    690   c = (t1 >> 26);
    691   t1 &= 0x3ffffff;
    692   t2 = _mm_cvtsi128_si32(H2) + c;
    693   c = (t2 >> 26);
    694   t2 &= 0x3ffffff;
    695   t3 = _mm_cvtsi128_si32(H3) + c;
    696   c = (t3 >> 26);
    697   t3 &= 0x3ffffff;
    698   t4 = _mm_cvtsi128_si32(H4) + c;
    699   c = (t4 >> 26);
    700   t4 &= 0x3ffffff;
    701   t0 = t0 + (c * 5);
    702   c = (t0 >> 26);
    703   t0 &= 0x3ffffff;
    704   t1 = t1 + c;
    705 
    706   st->HH[0] = ((t0) | (t1 << 26)) & 0xfffffffffffull;
    707   st->HH[1] = ((t1 >> 18) | (t2 << 8) | (t3 << 34)) & 0xfffffffffffull;
    708   st->HH[2] = ((t3 >> 10) | (t4 << 16)) & 0x3ffffffffffull;
    709 
    710   return consumed;
    711 }
    712 
    713 void CRYPTO_poly1305_update(poly1305_state *state, const uint8_t *m,
    714                             size_t bytes) {
    715   poly1305_state_internal *st = poly1305_aligned_state(state);
    716   size_t want;
    717 
    718   /* need at least 32 initial bytes to start the accelerated branch */
    719   if (!st->started) {
    720     if ((st->leftover == 0) && (bytes > 32)) {
    721       poly1305_first_block(st, m);
    722       m += 32;
    723       bytes -= 32;
    724     } else {
    725       want = poly1305_min(32 - st->leftover, bytes);
    726       poly1305_block_copy(st->buffer + st->leftover, m, want);
    727       bytes -= want;
    728       m += want;
    729       st->leftover += want;
    730       if ((st->leftover < 32) || (bytes == 0)) {
    731         return;
    732       }
    733       poly1305_first_block(st, st->buffer);
    734       st->leftover = 0;
    735     }
    736     st->started = 1;
    737   }
    738 
    739   /* handle leftover */
    740   if (st->leftover) {
    741     want = poly1305_min(64 - st->leftover, bytes);
    742     poly1305_block_copy(st->buffer + st->leftover, m, want);
    743     bytes -= want;
    744     m += want;
    745     st->leftover += want;
    746     if (st->leftover < 64) {
    747       return;
    748     }
    749     poly1305_blocks(st, st->buffer, 64);
    750     st->leftover = 0;
    751   }
    752 
    753   /* process 64 byte blocks */
    754   if (bytes >= 64) {
    755     want = (bytes & ~63);
    756     poly1305_blocks(st, m, want);
    757     m += want;
    758     bytes -= want;
    759   }
    760 
    761   if (bytes) {
    762     poly1305_block_copy(st->buffer + st->leftover, m, bytes);
    763     st->leftover += bytes;
    764   }
    765 }
    766 
    767 void CRYPTO_poly1305_finish(poly1305_state *state, uint8_t mac[16]) {
    768   poly1305_state_internal *st = poly1305_aligned_state(state);
    769   size_t leftover = st->leftover;
    770   uint8_t *m = st->buffer;
    771   uint128_t d[3];
    772   uint64_t h0, h1, h2;
    773   uint64_t t0, t1;
    774   uint64_t g0, g1, g2, c, nc;
    775   uint64_t r0, r1, r2, s1, s2;
    776   poly1305_power *p;
    777 
    778   if (st->started) {
    779     size_t consumed = poly1305_combine(st, m, leftover);
    780     leftover -= consumed;
    781     m += consumed;
    782   }
    783 
    784   /* st->HH will either be 0 or have the combined result */
    785   h0 = st->HH[0];
    786   h1 = st->HH[1];
    787   h2 = st->HH[2];
    788 
    789   p = &st->P[1];
    790   r0 = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
    791   r1 = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
    792   r2 = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
    793   s1 = r1 * (5 << 2);
    794   s2 = r2 * (5 << 2);
    795 
    796   if (leftover < 16) {
    797     goto poly1305_donna_atmost15bytes;
    798   }
    799 
    800 poly1305_donna_atleast16bytes:
    801   t0 = U8TO64_LE(m + 0);
    802   t1 = U8TO64_LE(m + 8);
    803   h0 += t0 & 0xfffffffffff;
    804   t0 = shr128_pair(t1, t0, 44);
    805   h1 += t0 & 0xfffffffffff;
    806   h2 += (t1 >> 24) | ((uint64_t)1 << 40);
    807 
    808 poly1305_donna_mul:
    809   d[0] = add128(add128(mul64x64_128(h0, r0), mul64x64_128(h1, s2)),
    810                 mul64x64_128(h2, s1));
    811   d[1] = add128(add128(mul64x64_128(h0, r1), mul64x64_128(h1, r0)),
    812                 mul64x64_128(h2, s2));
    813   d[2] = add128(add128(mul64x64_128(h0, r2), mul64x64_128(h1, r1)),
    814                 mul64x64_128(h2, r0));
    815   h0 = lo128(d[0]) & 0xfffffffffff;
    816   c = shr128(d[0], 44);
    817   d[1] = add128_64(d[1], c);
    818   h1 = lo128(d[1]) & 0xfffffffffff;
    819   c = shr128(d[1], 44);
    820   d[2] = add128_64(d[2], c);
    821   h2 = lo128(d[2]) & 0x3ffffffffff;
    822   c = shr128(d[2], 42);
    823   h0 += c * 5;
    824 
    825   m += 16;
    826   leftover -= 16;
    827   if (leftover >= 16) {
    828     goto poly1305_donna_atleast16bytes;
    829   }
    830 
    831 /* final bytes */
    832 poly1305_donna_atmost15bytes:
    833   if (!leftover) {
    834     goto poly1305_donna_finish;
    835   }
    836 
    837   m[leftover++] = 1;
    838   poly1305_block_zero(m + leftover, 16 - leftover);
    839   leftover = 16;
    840 
    841   t0 = U8TO64_LE(m + 0);
    842   t1 = U8TO64_LE(m + 8);
    843   h0 += t0 & 0xfffffffffff;
    844   t0 = shr128_pair(t1, t0, 44);
    845   h1 += t0 & 0xfffffffffff;
    846   h2 += (t1 >> 24);
    847 
    848   goto poly1305_donna_mul;
    849 
    850 poly1305_donna_finish:
    851   c = (h0 >> 44);
    852   h0 &= 0xfffffffffff;
    853   h1 += c;
    854   c = (h1 >> 44);
    855   h1 &= 0xfffffffffff;
    856   h2 += c;
    857   c = (h2 >> 42);
    858   h2 &= 0x3ffffffffff;
    859   h0 += c * 5;
    860 
    861   g0 = h0 + 5;
    862   c = (g0 >> 44);
    863   g0 &= 0xfffffffffff;
    864   g1 = h1 + c;
    865   c = (g1 >> 44);
    866   g1 &= 0xfffffffffff;
    867   g2 = h2 + c - ((uint64_t)1 << 42);
    868 
    869   c = (g2 >> 63) - 1;
    870   nc = ~c;
    871   h0 = (h0 & nc) | (g0 & c);
    872   h1 = (h1 & nc) | (g1 & c);
    873   h2 = (h2 & nc) | (g2 & c);
    874 
    875   /* pad */
    876   t0 = ((uint64_t)p->R23.d[3] << 32) | (uint64_t)p->R23.d[1];
    877   t1 = ((uint64_t)p->R24.d[3] << 32) | (uint64_t)p->R24.d[1];
    878   h0 += (t0 & 0xfffffffffff);
    879   c = (h0 >> 44);
    880   h0 &= 0xfffffffffff;
    881   t0 = shr128_pair(t1, t0, 44);
    882   h1 += (t0 & 0xfffffffffff) + c;
    883   c = (h1 >> 44);
    884   h1 &= 0xfffffffffff;
    885   t1 = (t1 >> 24);
    886   h2 += (t1)+c;
    887 
    888   U64TO8_LE(mac + 0, ((h0) | (h1 << 44)));
    889   U64TO8_LE(mac + 8, ((h1 >> 20) | (h2 << 24)));
    890 }
    891 
    892 #endif  /* !OPENSSL_WINDOWS && OPENSSL_X86_64 */
    893