third_party/openssl: add ChaCha20+Poly1305 support.

openssl/crypto/poly1305/poly1305_vec.c

+/* ====================================================================
+ * Copyright (c) 2011-2013 The OpenSSL Project.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in
+ *    the documentation and/or other materials provided with the
+ *    distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ *    software must display the following acknowledgment:
+ *    "This product includes software developed by the OpenSSL Project
+ *    for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ *    endorse or promote products derived from this software without
+ *    prior written permission. For written permission, please contact
+ *    licensing@OpenSSL.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ *    nor may "OpenSSL" appear in their names without prior written
+ *    permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ *    acknowledgment:
+ *    "This product includes software developed by the OpenSSL Project
+ *    for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ */
+
+/* This implementation of poly1305 is by Andrew Moon
+ * (https://github.com/floodyberry/poly1305-donna) and released as public
+ * domain. It implements SIMD vectorization based on the algorithm described in
+ * http://cr.yp.to/papers.html#neoncrypto. Unrolled to 2 powers, i.e. 64 byte
+ * block size
+*/
+
+#include <emmintrin.h>
+#include <stdint.h>
+#include <openssl/opensslconf.h>
+
+#if !defined(OPENSSL_NO_POLY1305)
+
+#include <openssl/poly1305.h>
+
+#define ALIGN(x) __attribute__((aligned(x)))
+#define INLINE inline
+#define U8TO64_LE(m) (*(uint64_t*)(m))
+#define U8TO32_LE(m) (*(uint32_t*)(m))
+#define U64TO8_LE(m,v) (*(uint64_t*)(m)) = v
+
+typedef __m128i xmmi;
+typedef unsigned __int128 uint128_t;
+
+static const uint32_t ALIGN(16) poly1305_x64_sse2_message_mask[4] =
+        {(1 << 26) - 1, 0, (1 << 26) - 1, 0};
+static const uint32_t ALIGN(16) poly1305_x64_sse2_5[4] = {5, 0, 5, 0};
+static const uint32_t ALIGN(16) poly1305_x64_sse2_1shl128[4] =
+        {(1 << 24), 0, (1 << 24), 0};
+
+static uint128_t INLINE
+add128(uint128_t a, uint128_t b)
+        {
+        return a + b;
+        }
+
+static uint128_t INLINE
+add128_64(uint128_t a, uint64_t b)
+        {
+        return a + b;
+        }
+
+static uint128_t INLINE
+mul64x64_128(uint64_t a, uint64_t b)
+        {
+        return (uint128_t)a * b;
+        }
+
+static uint64_t INLINE
+lo128(uint128_t a)
+        {
+        return (uint64_t)a;
+        }
+
+static uint64_t INLINE
+shr128(uint128_t v, const int shift)
+        {
+        return (uint64_t)(v >> shift);
+        }
+
+static uint64_t INLINE
+shr128_pair(uint64_t hi, uint64_t lo, const int shift)
+        {
+        return (uint64_t)((((uint128_t)hi << 64) | lo) >> shift);
+        }
+
+typedef struct poly1305_power_t
+        {
+        union
+                {
+                xmmi v;
+                uint64_t u[2];
+                uint32_t d[4];
+                } R20,R21,R22,R23,R24,S21,S22,S23,S24;
+        } poly1305_power;
+
+typedef struct poly1305_state_internal_t
+        {
+        poly1305_power P[2];     /* 288 bytes, top 32 bit halves unused = 144
+                                    bytes of free storage */
+        union
+                {
+                xmmi H[5];           /*  80 bytes  */
+                uint64_t HH[10];
+                };
+        /* uint64_t r0,r1,r2;       [24 bytes] */
+        /* uint64_t pad0,pad1;      [16 bytes] */
+        uint64_t started;        /*   8 bytes  */
+        uint64_t leftover;       /*   8 bytes  */
+        uint8_t buffer[64];      /*  64 bytes  */
+        } poly1305_state_internal;   /* 448 bytes total + 63 bytes for
+                                        alignment = 511 bytes raw */
+
+static poly1305_state_internal INLINE
+*poly1305_aligned_state(poly1305_state *state)
+        {
+        return (poly1305_state_internal *)(((uint64_t)state + 63) & ~63);
+        }
+
+/* copy 0-63 bytes */
+static void INLINE
+poly1305_block_copy(uint8_t *dst, const uint8_t *src, size_t bytes)
+        {
+        size_t offset = src - dst;
+        if (bytes & 32)
+                {
+                _mm_storeu_si128((xmmi *)(dst + 0), _mm_loadu_si128((xmmi *)(dst + offset + 0)));
+                _mm_storeu_si128((xmmi *)(dst + 16), _mm_loadu_si128((xmmi *)(dst + offset + 16)));
+                dst += 32;
+                }
+        if (bytes & 16)
+                {
+                _mm_storeu_si128((xmmi *)dst,
+                                 _mm_loadu_si128((xmmi *)(dst + offset)));
+                dst += 16;
+                }
+        if (bytes &  8)
+                {
+                *(uint64_t *)dst = *(uint64_t *)(dst + offset);
+                dst += 8;
+                }
+        if (bytes &  4)
+                {
+                *(uint32_t *)dst = *(uint32_t *)(dst + offset);
+                dst += 4;
+                }
+        if (bytes &  2)
+                {
+                *(uint16_t *)dst = *(uint16_t *)(dst + offset);
+                dst += 2;
+                }
+        if (bytes &  1)
+                {
+                *( uint8_t *)dst = *( uint8_t *)(dst + offset);
+                }
+        }
+
+/* zero 0-15 bytes */
+static void INLINE
+poly1305_block_zero(uint8_t *dst, size_t bytes)
+        {
+        if (bytes &  8) { *(uint64_t *)dst = 0; dst += 8; }
+        if (bytes &  4) { *(uint32_t *)dst = 0; dst += 4; }
+        if (bytes &  2) { *(uint16_t *)dst = 0; dst += 2; }
+        if (bytes &  1) { *( uint8_t *)dst = 0; }
+        }
+
+static size_t INLINE
+poly1305_min(size_t a, size_t b)
+        {
+        return (a < b) ? a : b;
+        }
+
+void
+CRYPTO_poly1305_init(poly1305_state *state, const unsigned char key[32])
+        {
+        poly1305_state_internal *st = poly1305_aligned_state(state);
+        poly1305_power *p;
+        uint64_t r0,r1,r2;
+        uint64_t t0,t1;
+
+        /* clamp key */
+        t0 = U8TO64_LE(key + 0);
+        t1 = U8TO64_LE(key + 8);
+        r0 = t0 & 0xffc0fffffff; t0 >>= 44; t0 |= t1 << 20;
+        r1 = t0 & 0xfffffc0ffff; t1 >>= 24;
+        r2 = t1 & 0x00ffffffc0f;
+
+        /* store r in un-used space of st->P[1] */
+        p = &st->P[1];
+        p->R20.d[1] = (uint32_t)(r0      );
+        p->R20.d[3] = (uint32_t)(r0 >> 32);
+        p->R21.d[1] = (uint32_t)(r1      );
+        p->R21.d[3] = (uint32_t)(r1 >> 32);
+        p->R22.d[1] = (uint32_t)(r2      );
+        p->R22.d[3] = (uint32_t)(r2 >> 32);
+
+        /* store pad */
+        p->R23.d[1] = U8TO32_LE(key + 16);
+        p->R23.d[3] = U8TO32_LE(key + 20);
+        p->R24.d[1] = U8TO32_LE(key + 24);
+        p->R24.d[3] = U8TO32_LE(key + 28);
+
+        /* H = 0 */
+        st->H[0] = _mm_setzero_si128();
+        st->H[1] = _mm_setzero_si128();
+        st->H[2] = _mm_setzero_si128();
+        st->H[3] = _mm_setzero_si128();
+        st->H[4] = _mm_setzero_si128();
+
+        st->started = 0;
+        st->leftover = 0;
+        }
+
+static void
+poly1305_first_block(poly1305_state_internal *st, const uint8_t *m)
+        {
+        const xmmi MMASK =
+                _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
+        const xmmi FIVE = _mm_load_si128((xmmi*)poly1305_x64_sse2_5);
+        const xmmi HIBIT = _mm_load_si128((xmmi*)poly1305_x64_sse2_1shl128);
+        xmmi T5,T6;
+        poly1305_power *p;
+        uint128_t d[3];
+        uint64_t r0,r1,r2;
+        uint64_t r20,r21,r22,s22;
+        uint64_t pad0,pad1;
+        uint64_t c;
+        uint64_t i;
+
+        /* pull out stored info */
+        p = &st->P[1];
+
+        r0   = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
+        r1   = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
+        r2   = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
+        pad0 = ((uint64_t)p->R23.d[3] << 32) | (uint64_t)p->R23.d[1];
+        pad1 = ((uint64_t)p->R24.d[3] << 32) | (uint64_t)p->R24.d[1];
+
+        /* compute powers r^2,r^4 */
+        r20 = r0;
+        r21 = r1;
+        r22 = r2;
+        for (i = 0; i < 2; i++)
+                {
+                s22 = r22 * (5 << 2);
+
+                d[0] = add128(mul64x64_128(r20, r20), mul64x64_128(r21 * 2, s22));
+                d[1] = add128(mul64x64_128(r22, s22), mul64x64_128(r20 * 2, r21));
+                d[2] = add128(mul64x64_128(r21, r21), mul64x64_128(r22 * 2, r20));
+
+                                           r20 = lo128(d[0]) & 0xfffffffffff; c = shr128(d[0], 44);
+                d[1] = add128_64(d[1], c); r21 = lo128(d[1]) & 0xfffffffffff; c = shr128(d[1], 44);
+                d[2] = add128_64(d[2], c); r22 = lo128(d[2]) & 0x3ffffffffff; c = shr128(d[2], 42);
+                r20 += c * 5; c = (r20 >> 44); r20 = r20 & 0xfffffffffff;
+                r21 += c;
+
+                p->R20.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)( r20                     ) & 0x3ffffff), _MM_SHUFFLE(1,0,1,0));
+                p->R21.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r20 >> 26) | (r21 << 18)) & 0x3ffffff), _MM_SHUFFLE(1,0,1,0));
+                p->R22.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r21 >> 8)               ) & 0x3ffffff), _MM_SHUFFLE(1,0,1,0));
+                p->R23.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r21 >> 34) | (r22 << 10)) & 0x3ffffff), _MM_SHUFFLE(1,0,1,0));
+                p->R24.v = _mm_shuffle_epi32(_mm_cvtsi32_si128((uint32_t)((r22 >> 16)              )            ), _MM_SHUFFLE(1,0,1,0));
+                p->S21.v = _mm_mul_epu32(p->R21.v, FIVE);
+                p->S22.v = _mm_mul_epu32(p->R22.v, FIVE);
+                p->S23.v = _mm_mul_epu32(p->R23.v, FIVE);
+                p->S24.v = _mm_mul_epu32(p->R24.v, FIVE);
+                p--;
+                }
+
+        /* put saved info back */
+        p = &st->P[1];
+        p->R20.d[1] = (uint32_t)(r0        );
+        p->R20.d[3] = (uint32_t)(r0   >> 32);
+        p->R21.d[1] = (uint32_t)(r1        );
+        p->R21.d[3] = (uint32_t)(r1   >> 32);
+        p->R22.d[1] = (uint32_t)(r2        );
+        p->R22.d[3] = (uint32_t)(r2   >> 32);
+        p->R23.d[1] = (uint32_t)(pad0      );
+        p->R23.d[3] = (uint32_t)(pad0 >> 32);
+        p->R24.d[1] = (uint32_t)(pad1      );
+        p->R24.d[3] = (uint32_t)(pad1 >> 32);
+
+        /* H = [Mx,My] */
+        T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)), _mm_loadl_epi64((xmmi *)(m + 16)));
+        T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)), _mm_loadl_epi64((xmmi *)(m + 24)));
+        st->H[0] = _mm_and_si128(MMASK, T5);
+        st->H[1] = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+        T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
+        st->H[2] = _mm_and_si128(MMASK, T5);
+        st->H[3] = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+        st->H[4] = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
+        }
+
+static void
+poly1305_blocks(poly1305_state_internal *st, const uint8_t *m, size_t bytes)
+        {
+        const xmmi MMASK = _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
+        const xmmi FIVE = _mm_load_si128((xmmi*)poly1305_x64_sse2_5);
+        const xmmi HIBIT = _mm_load_si128((xmmi*)poly1305_x64_sse2_1shl128);
+
+        poly1305_power *p;
+        xmmi H0,H1,H2,H3,H4;
+        xmmi T0,T1,T2,T3,T4,T5,T6;
+        xmmi M0,M1,M2,M3,M4;
+        xmmi C1,C2;
+
+        H0 = st->H[0];
+        H1 = st->H[1];
+        H2 = st->H[2];
+        H3 = st->H[3];
+        H4 = st->H[4];
+
+        while (bytes >= 64)
+                {
+                /* H *= [r^4,r^4] */
+                p = &st->P[0];
+                T0 = _mm_mul_epu32(H0, p->R20.v);
+                T1 = _mm_mul_epu32(H0, p->R21.v);
+                T2 = _mm_mul_epu32(H0, p->R22.v);
+                T3 = _mm_mul_epu32(H0, p->R23.v);
+                T4 = _mm_mul_epu32(H0, p->R24.v);
+                T5 = _mm_mul_epu32(H1, p->S24.v); T6 = _mm_mul_epu32(H1, p->R20.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H2, p->S23.v); T6 = _mm_mul_epu32(H2, p->S24.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H3, p->S22.v); T6 = _mm_mul_epu32(H3, p->S23.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H4, p->S21.v); T6 = _mm_mul_epu32(H4, p->S22.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H1, p->R21.v); T6 = _mm_mul_epu32(H1, p->R22.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H2, p->R20.v); T6 = _mm_mul_epu32(H2, p->R21.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H3, p->S24.v); T6 = _mm_mul_epu32(H3, p->R20.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H4, p->S23.v); T6 = _mm_mul_epu32(H4, p->S24.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H1, p->R23.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H2, p->R22.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H3, p->R21.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H4, p->R20.v);                                   T4 = _mm_add_epi64(T4, T5);
+
+                /* H += [Mx,My]*[r^2,r^2] */
+                T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)), _mm_loadl_epi64((xmmi *)(m + 16)));
+                T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)), _mm_loadl_epi64((xmmi *)(m + 24)));
+                M0 = _mm_and_si128(MMASK, T5);
+                M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
+                M2 = _mm_and_si128(MMASK, T5);
+                M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
+
+                p = &st->P[1];
+                T5 = _mm_mul_epu32(M0, p->R20.v); T6 = _mm_mul_epu32(M0, p->R21.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(M1, p->S24.v); T6 = _mm_mul_epu32(M1, p->R20.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(M2, p->S23.v); T6 = _mm_mul_epu32(M2, p->S24.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(M3, p->S22.v); T6 = _mm_mul_epu32(M3, p->S23.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(M4, p->S21.v); T6 = _mm_mul_epu32(M4, p->S22.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(M0, p->R22.v); T6 = _mm_mul_epu32(M0, p->R23.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(M1, p->R21.v); T6 = _mm_mul_epu32(M1, p->R22.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(M2, p->R20.v); T6 = _mm_mul_epu32(M2, p->R21.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(M3, p->S24.v); T6 = _mm_mul_epu32(M3, p->R20.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(M4, p->S23.v); T6 = _mm_mul_epu32(M4, p->S24.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(M0, p->R24.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(M1, p->R23.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(M2, p->R22.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(M3, p->R21.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(M4, p->R20.v);                                   T4 = _mm_add_epi64(T4, T5);
+
+                /* H += [Mx,My] */
+                T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 32)), _mm_loadl_epi64((xmmi *)(m + 48)));
+                T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 40)), _mm_loadl_epi64((xmmi *)(m + 56)));
+                M0 = _mm_and_si128(MMASK, T5);
+                M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
+                M2 = _mm_and_si128(MMASK, T5);
+                M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
+
+                T0 = _mm_add_epi64(T0, M0);
+                T1 = _mm_add_epi64(T1, M1);
+                T2 = _mm_add_epi64(T2, M2);
+                T3 = _mm_add_epi64(T3, M3);
+                T4 = _mm_add_epi64(T4, M4);
+
+                /* reduce */
+                C1 = _mm_srli_epi64(T0, 26); C2 = _mm_srli_epi64(T3, 26); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_and_si128(T3, MMASK); T1 = _mm_add_epi64(T1, C1); T4 = _mm_add_epi64(T4, C2);
+                C1 = _mm_srli_epi64(T1, 26); C2 = _mm_srli_epi64(T4, 26); T1 = _mm_and_si128(T1, MMASK); T4 = _mm_and_si128(T4, MMASK); T2 = _mm_add_epi64(T2, C1); T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
+                C1 = _mm_srli_epi64(T2, 26); C2 = _mm_srli_epi64(T0, 26); T2 = _mm_and_si128(T2, MMASK); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_add_epi64(T3, C1); T1 = _mm_add_epi64(T1, C2);
+                C1 = _mm_srli_epi64(T3, 26);                              T3 = _mm_and_si128(T3, MMASK);                                T4 = _mm_add_epi64(T4, C1);
+
+                /* H = (H*[r^4,r^4] + [Mx,My]*[r^2,r^2] + [Mx,My]) */
+                H0 = T0;
+                H1 = T1;
+                H2 = T2;
+                H3 = T3;
+                H4 = T4;
+
+                m += 64;
+                bytes -= 64;
+                }
+
+        st->H[0] = H0;
+        st->H[1] = H1;
+        st->H[2] = H2;
+        st->H[3] = H3;
+        st->H[4] = H4;
+        }
+
+static size_t
+poly1305_combine(poly1305_state_internal *st, const uint8_t *m, size_t bytes)
+        {
+        const xmmi MMASK =
+                _mm_load_si128((xmmi *)poly1305_x64_sse2_message_mask);
+        const xmmi HIBIT = _mm_load_si128((xmmi*)poly1305_x64_sse2_1shl128);
+        const xmmi FIVE = _mm_load_si128((xmmi*)poly1305_x64_sse2_5);
+
+        poly1305_power *p;
+        xmmi H0,H1,H2,H3,H4;
+        xmmi M0,M1,M2,M3,M4;
+        xmmi T0,T1,T2,T3,T4,T5,T6;
+        xmmi C1,C2;
+
+        uint64_t r0,r1,r2;
+        uint64_t t0,t1,t2,t3,t4;
+        uint64_t c;
+        size_t consumed = 0;
+
+        H0 = st->H[0];
+        H1 = st->H[1];
+        H2 = st->H[2];
+        H3 = st->H[3];
+        H4 = st->H[4];
+
+        /* p = [r^2,r^2] */
+        p = &st->P[1];
+
+        if (bytes >= 32)
+                {
+                /* H *= [r^2,r^2] */
+                T0 = _mm_mul_epu32(H0, p->R20.v);
+                T1 = _mm_mul_epu32(H0, p->R21.v);
+                T2 = _mm_mul_epu32(H0, p->R22.v);
+                T3 = _mm_mul_epu32(H0, p->R23.v);
+                T4 = _mm_mul_epu32(H0, p->R24.v);
+                T5 = _mm_mul_epu32(H1, p->S24.v); T6 = _mm_mul_epu32(H1, p->R20.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H2, p->S23.v); T6 = _mm_mul_epu32(H2, p->S24.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H3, p->S22.v); T6 = _mm_mul_epu32(H3, p->S23.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H4, p->S21.v); T6 = _mm_mul_epu32(H4, p->S22.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+                T5 = _mm_mul_epu32(H1, p->R21.v); T6 = _mm_mul_epu32(H1, p->R22.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H2, p->R20.v); T6 = _mm_mul_epu32(H2, p->R21.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H3, p->S24.v); T6 = _mm_mul_epu32(H3, p->R20.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H4, p->S23.v); T6 = _mm_mul_epu32(H4, p->S24.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+                T5 = _mm_mul_epu32(H1, p->R23.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H2, p->R22.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H3, p->R21.v);                                   T4 = _mm_add_epi64(T4, T5);
+                T5 = _mm_mul_epu32(H4, p->R20.v);                                   T4 = _mm_add_epi64(T4, T5);
+
+                /* H += [Mx,My] */
+                T5 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 0)), _mm_loadl_epi64((xmmi *)(m + 16)));
+                T6 = _mm_unpacklo_epi64(_mm_loadl_epi64((xmmi *)(m + 8)), _mm_loadl_epi64((xmmi *)(m + 24)));
+                M0 = _mm_and_si128(MMASK, T5);
+                M1 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                T5 = _mm_or_si128(_mm_srli_epi64(T5, 52), _mm_slli_epi64(T6, 12));
+                M2 = _mm_and_si128(MMASK, T5);
+                M3 = _mm_and_si128(MMASK, _mm_srli_epi64(T5, 26));
+                M4 = _mm_or_si128(_mm_srli_epi64(T6, 40), HIBIT);
+
+                T0 = _mm_add_epi64(T0, M0);
+                T1 = _mm_add_epi64(T1, M1);
+                T2 = _mm_add_epi64(T2, M2);
+                T3 = _mm_add_epi64(T3, M3);
+                T4 = _mm_add_epi64(T4, M4);
+
+                /* reduce */
+                C1 = _mm_srli_epi64(T0, 26); C2 = _mm_srli_epi64(T3, 26); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_and_si128(T3, MMASK); T1 = _mm_add_epi64(T1, C1); T4 = _mm_add_epi64(T4, C2);
+                C1 = _mm_srli_epi64(T1, 26); C2 = _mm_srli_epi64(T4, 26); T1 = _mm_and_si128(T1, MMASK); T4 = _mm_and_si128(T4, MMASK); T2 = _mm_add_epi64(T2, C1); T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
+                C1 = _mm_srli_epi64(T2, 26); C2 = _mm_srli_epi64(T0, 26); T2 = _mm_and_si128(T2, MMASK); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_add_epi64(T3, C1); T1 = _mm_add_epi64(T1, C2);
+                C1 = _mm_srli_epi64(T3, 26);                              T3 = _mm_and_si128(T3, MMASK);                                T4 = _mm_add_epi64(T4, C1);
+
+                /* H = (H*[r^2,r^2] + [Mx,My]) */
+                H0 = T0;
+                H1 = T1;
+                H2 = T2;
+                H3 = T3;
+                H4 = T4;
+
+                consumed = 32;
+                }
+
+        /* finalize, H *= [r^2,r] */
+        r0 = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
+        r1 = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
+        r2 = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
+
+        p->R20.d[2] = (uint32_t)( r0                    ) & 0x3ffffff;
+        p->R21.d[2] = (uint32_t)((r0 >> 26) | (r1 << 18)) & 0x3ffffff;
+        p->R22.d[2] = (uint32_t)((r1 >> 8)              ) & 0x3ffffff;
+        p->R23.d[2] = (uint32_t)((r1 >> 34) | (r2 << 10)) & 0x3ffffff;
+        p->R24.d[2] = (uint32_t)((r2 >> 16)             )            ;
+        p->S21.d[2] = p->R21.d[2] * 5;
+        p->S22.d[2] = p->R22.d[2] * 5;
+        p->S23.d[2] = p->R23.d[2] * 5;
+        p->S24.d[2] = p->R24.d[2] * 5;
+
+        /* H *= [r^2,r] */
+        T0 = _mm_mul_epu32(H0, p->R20.v);
+        T1 = _mm_mul_epu32(H0, p->R21.v);
+        T2 = _mm_mul_epu32(H0, p->R22.v);
+        T3 = _mm_mul_epu32(H0, p->R23.v);
+        T4 = _mm_mul_epu32(H0, p->R24.v);
+        T5 = _mm_mul_epu32(H1, p->S24.v); T6 = _mm_mul_epu32(H1, p->R20.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+        T5 = _mm_mul_epu32(H2, p->S23.v); T6 = _mm_mul_epu32(H2, p->S24.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+        T5 = _mm_mul_epu32(H3, p->S22.v); T6 = _mm_mul_epu32(H3, p->S23.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+        T5 = _mm_mul_epu32(H4, p->S21.v); T6 = _mm_mul_epu32(H4, p->S22.v); T0 = _mm_add_epi64(T0, T5); T1 = _mm_add_epi64(T1, T6);
+        T5 = _mm_mul_epu32(H1, p->R21.v); T6 = _mm_mul_epu32(H1, p->R22.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+        T5 = _mm_mul_epu32(H2, p->R20.v); T6 = _mm_mul_epu32(H2, p->R21.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+        T5 = _mm_mul_epu32(H3, p->S24.v); T6 = _mm_mul_epu32(H3, p->R20.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+        T5 = _mm_mul_epu32(H4, p->S23.v); T6 = _mm_mul_epu32(H4, p->S24.v); T2 = _mm_add_epi64(T2, T5); T3 = _mm_add_epi64(T3, T6);
+        T5 = _mm_mul_epu32(H1, p->R23.v);                                   T4 = _mm_add_epi64(T4, T5);
+        T5 = _mm_mul_epu32(H2, p->R22.v);                                   T4 = _mm_add_epi64(T4, T5);
+        T5 = _mm_mul_epu32(H3, p->R21.v);                                   T4 = _mm_add_epi64(T4, T5);
+        T5 = _mm_mul_epu32(H4, p->R20.v);                                   T4 = _mm_add_epi64(T4, T5);
+
+        C1 = _mm_srli_epi64(T0, 26); C2 = _mm_srli_epi64(T3, 26); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_and_si128(T3, MMASK); T1 = _mm_add_epi64(T1, C1); T4 = _mm_add_epi64(T4, C2);
+        C1 = _mm_srli_epi64(T1, 26); C2 = _mm_srli_epi64(T4, 26); T1 = _mm_and_si128(T1, MMASK); T4 = _mm_and_si128(T4, MMASK); T2 = _mm_add_epi64(T2, C1); T0 = _mm_add_epi64(T0, _mm_mul_epu32(C2, FIVE));
+        C1 = _mm_srli_epi64(T2, 26); C2 = _mm_srli_epi64(T0, 26); T2 = _mm_and_si128(T2, MMASK); T0 = _mm_and_si128(T0, MMASK); T3 = _mm_add_epi64(T3, C1); T1 = _mm_add_epi64(T1, C2);
+        C1 = _mm_srli_epi64(T3, 26);                              T3 = _mm_and_si128(T3, MMASK);                                T4 = _mm_add_epi64(T4, C1);
+
+        /* H = H[0]+H[1] */
+        H0 = _mm_add_epi64(T0, _mm_srli_si128(T0, 8));
+        H1 = _mm_add_epi64(T1, _mm_srli_si128(T1, 8));
+        H2 = _mm_add_epi64(T2, _mm_srli_si128(T2, 8));
+        H3 = _mm_add_epi64(T3, _mm_srli_si128(T3, 8));
+        H4 = _mm_add_epi64(T4, _mm_srli_si128(T4, 8));
+
+        t0 = _mm_cvtsi128_si32(H0)    ; c = (t0 >> 26); t0 &= 0x3ffffff;
+        t1 = _mm_cvtsi128_si32(H1) + c; c = (t1 >> 26); t1 &= 0x3ffffff;
+        t2 = _mm_cvtsi128_si32(H2) + c; c = (t2 >> 26); t2 &= 0x3ffffff;
+        t3 = _mm_cvtsi128_si32(H3) + c; c = (t3 >> 26); t3 &= 0x3ffffff;
+        t4 = _mm_cvtsi128_si32(H4) + c; c = (t4 >> 26); t4 &= 0x3ffffff;
+        t0 =              t0 + (c * 5); c = (t0 >> 26); t0 &= 0x3ffffff;
+        t1 =              t1 + c;
+
+        st->HH[0] =  ((t0      ) | (t1 << 26)             ) & 0xfffffffffffull;
+        st->HH[1] =  ((t1 >> 18) | (t2 <<  8) | (t3 << 34)) & 0xfffffffffffull;
+        st->HH[2] =  ((t3 >> 10) | (t4 << 16)             ) & 0x3ffffffffffull;
+
+        return consumed;
+        }
+
+void
+CRYPTO_poly1305_update(poly1305_state *state, const unsigned char *m,
+                       size_t bytes)
+        {
+        poly1305_state_internal *st = poly1305_aligned_state(state);
+        size_t want;
+
+        /* need at least 32 initial bytes to start the accelerated branch */
+        if (!st->started)
+                {
+                if ((st->leftover == 0) && (bytes > 32))
+                        {
+                        poly1305_first_block(st, m);
+                        m += 32;
+                        bytes -= 32;
+                        }
+                else
+                        {
+                        want = poly1305_min(32 - st->leftover, bytes);
+                        poly1305_block_copy(st->buffer + st->leftover, m, want);
+                        bytes -= want;
+                        m += want;
+                        st->leftover += want;
+                        if ((st->leftover < 32) || (bytes == 0))
+                                return;
+                        poly1305_first_block(st, st->buffer);
+                        st->leftover = 0;
+                        }
+                st->started = 1;
+                }
+
+        /* handle leftover */
+        if (st->leftover)
+                {
+                want = poly1305_min(64 - st->leftover, bytes);
+                poly1305_block_copy(st->buffer + st->leftover, m, want);
+                bytes -= want;
+                m += want;
+                st->leftover += want;
+                if (st->leftover < 64)
+                        return;
+                poly1305_blocks(st, st->buffer, 64);
+                st->leftover = 0;
+                }
+
+        /* process 64 byte blocks */
+        if (bytes >= 64)
+                {
+                want = (bytes & ~63);
+                poly1305_blocks(st, m, want);
+                m += want;
+                bytes -= want;
+                }
+
+        if (bytes)
+                {
+                poly1305_block_copy(st->buffer + st->leftover, m, bytes);
+                st->leftover += bytes;
+                }
+        }
+
+void
+CRYPTO_poly1305_finish(poly1305_state *state, unsigned char mac[16])
+        {
+        poly1305_state_internal *st = poly1305_aligned_state(state);
+        size_t leftover = st->leftover;
+        uint8_t *m = st->buffer;
+        uint128_t d[3];
+        uint64_t h0,h1,h2;
+        uint64_t t0,t1;
+        uint64_t g0,g1,g2,c,nc;
+        uint64_t r0,r1,r2,s1,s2;
+        poly1305_power *p;
+
+        if (st->started)
+                {
+                size_t consumed = poly1305_combine(st, m, leftover);
+                leftover -= consumed;
+                m += consumed;
+                }
+
+        /* st->HH will either be 0 or have the combined result */
+        h0 = st->HH[0];
+        h1 = st->HH[1];
+        h2 = st->HH[2];
+
+        p = &st->P[1];
+        r0 = ((uint64_t)p->R20.d[3] << 32) | (uint64_t)p->R20.d[1];
+        r1 = ((uint64_t)p->R21.d[3] << 32) | (uint64_t)p->R21.d[1];
+        r2 = ((uint64_t)p->R22.d[3] << 32) | (uint64_t)p->R22.d[1];
+        s1 = r1 * (5 << 2);
+        s2 = r2 * (5 << 2);
+
+        if (leftover < 16)
+                goto poly1305_donna_atmost15bytes;
+
+poly1305_donna_atleast16bytes:
+        t0 = U8TO64_LE(m + 0);
+        t1 = U8TO64_LE(m + 8);
+        h0 += t0 & 0xfffffffffff;
+        t0 = shr128_pair(t1, t0, 44);
+        h1 += t0 & 0xfffffffffff;
+        h2 += (t1 >> 24) | ((uint64_t)1 << 40);
+
+poly1305_donna_mul:
+        d[0] = add128(add128(mul64x64_128(h0, r0), mul64x64_128(h1, s2)), mul64x64_128(h2, s1));
+        d[1] = add128(add128(mul64x64_128(h0, r1), mul64x64_128(h1, r0)), mul64x64_128(h2, s2));
+        d[2] = add128(add128(mul64x64_128(h0, r2), mul64x64_128(h1, r1)), mul64x64_128(h2, r0));
+                                   h0 = lo128(d[0]) & 0xfffffffffff; c = shr128(d[0], 44);
+        d[1] = add128_64(d[1], c); h1 = lo128(d[1]) & 0xfffffffffff; c = shr128(d[1], 44);
+        d[2] = add128_64(d[2], c); h2 = lo128(d[2]) & 0x3ffffffffff; c = shr128(d[2], 42);
+        h0   += c * 5;
+
+        m += 16;
+        leftover -= 16;
+        if (leftover >= 16) goto poly1305_donna_atleast16bytes;
+
+        /* final bytes */
+poly1305_donna_atmost15bytes:
+        if (!leftover) goto poly1305_donna_finish;
+
+        m[leftover++] = 1;
+        poly1305_block_zero(m + leftover, 16 - leftover);
+        leftover = 16;
+
+        t0 = U8TO64_LE(m+0);
+        t1 = U8TO64_LE(m+8);
+        h0 += t0 & 0xfffffffffff; t0 = shr128_pair(t1, t0, 44);
+        h1 += t0 & 0xfffffffffff;
+        h2 += (t1 >> 24);
+
+        goto poly1305_donna_mul;
+
+poly1305_donna_finish:
+                     c = (h0 >> 44); h0 &= 0xfffffffffff;
+        h1 += c;     c = (h1 >> 44); h1 &= 0xfffffffffff;
+        h2 += c;     c = (h2 >> 42); h2 &= 0x3ffffffffff;
+        h0 += c * 5;
+
+        g0 = h0 + 5; c = (g0 >> 44); g0 &= 0xfffffffffff;
+        g1 = h1 + c; c = (g1 >> 44); g1 &= 0xfffffffffff;
+        g2 = h2 + c - ((uint64_t)1 << 42);
+
+        c = (g2 >> 63) - 1;
+        nc = ~c;
+        h0 = (h0 & nc) | (g0 & c);
+        h1 = (h1 & nc) | (g1 & c);
+        h2 = (h2 & nc) | (g2 & c);
+
+        /* pad */
+        t0 = ((uint64_t)p->R23.d[3] << 32) | (uint64_t)p->R23.d[1];
+        t1 = ((uint64_t)p->R24.d[3] << 32) | (uint64_t)p->R24.d[1];
+        h0 += (t0 & 0xfffffffffff)    ; c = (h0 >> 44); h0 &= 0xfffffffffff; t0 = shr128_pair(t1, t0, 44);
+        h1 += (t0 & 0xfffffffffff) + c; c = (h1 >> 44); h1 &= 0xfffffffffff; t1 = (t1 >> 24);
+        h2 += (t1                ) + c;
+
+        U64TO8_LE(mac + 0, ((h0      ) | (h1 << 44)));
+        U64TO8_LE(mac + 8, ((h1 >> 20) | (h2 << 24)));
+        }
+
+#endif  /* !OPENSSL_NO_POLY1305 */