Add m-esr52 at 52.6.0

1 files changed, 881 insertions, 0 deletions

diff --git a/security/nss/lib/freebl/poly1305-donna-x64-sse2-incremental-source.c b/security/nss/lib/freebl/poly1305-donna-x64-sse2-incremental-source.c
new file mode 100644
index 000000000..3c803c167
--- /dev/null
+++ b/security/nss/lib/freebl/poly1305-donna-x64-sse2-incremental-source.c
@@ -0,0 +1,881 @@
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+/* 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 "poly1305.h"
+#include "blapii.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 NO_SANITIZE_ALIGNMENT
+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
+Poly1305Init(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
+Poly1305Update(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
+Poly1305Finish(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)));
+}