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+/* adler32_simd.c
+ *
+ * (C) 1995-2013 Jean-loup Gailly and Mark Adler
+ *
+ * This software is provided 'as-is', without any express or implied
+ * warranty. In no event will the authors be held liable for any damages
+ * arising from the use of this software.
+ *
+ * Permission is granted to anyone to use this software for any purpose,
+ * including commercial applications, and to alter it and redistribute it
+ * freely, subject to the following restrictions:
+ *
+ * 1. The origin of this software must not be misrepresented; you must not
+ * claim that you wrote the original software. If you use this software
+ * in a product, an acknowledgment in the product documentation would be
+ * appreciated but is not required.
+ * 2. Altered source versions must be plainly marked as such, and must not be
+ * misrepresented as being the original software.
+ * 3. This notice may not be removed or altered from any source distribution.
+ *
+ * Jean-loup Gailly Mark Adler
+ * jloup@gzip.org madler@alumni.caltech.edu
+ *
+ * Copyright 2017 The Chromium Authors. All rights reserved.
+ * Use of this source code is governed by a BSD-style license that can be
+ * found in the Chromium source repository LICENSE file.
+ *
+ * Per http://en.wikipedia.org/wiki/Adler-32 the adler32 A value (aka s1) is
+ * the sum of N input data bytes D1 ... DN,
+ *
+ * A = A0 + D1 + D2 + ... + DN
+ *
+ * where A0 is the initial value.
+ *
+ * SSE2 _mm_sad_epu8() can be used for byte sums (see http://bit.ly/2wpUOeD,
+ * for example) and accumulating the byte sums can use SSE shuffle-adds (see
+ * the "Integer" section of http://bit.ly/2erPT8t for details). Arm NEON has
+ * similar instructions.
+ *
+ * The adler32 B value (aka s2) sums the A values from each step:
+ *
+ * B0 + (A0 + D1) + (A0 + D1 + D2) + ... + (A0 + D1 + D2 + ... + DN) or
+ *
+ * B0 + N.A0 + N.D1 + (N-1).D2 + (N-2).D3 + ... + (N-(N-1)).DN
+ *
+ * B0 being the initial value. For 32 bytes (ideal for garden-variety SIMD):
+ *
+ * B = B0 + 32.A0 + [D1 D2 D3 ... D32] x [32 31 30 ... 1].
+ *
+ * Adjacent blocks of 32 input bytes can be iterated with the expressions to
+ * compute the adler32 s1 s2 of M >> 32 input bytes [1].
+ *
+ * As M grows, the s1 s2 sums grow. If left unchecked, they would eventually
+ * overflow the precision of their integer representation (bad). However, s1
+ * and s2 also need to be computed modulo the adler BASE value (reduced). If
+ * at most NMAX bytes are processed before a reduce, s1 s2 _cannot_ overflow
+ * a uint32_t type (the NMAX constraint) [2].
+ *
+ * [1] the iterative equations for s2 contain constant factors; these can be
+ * hoisted from the n-blocks do loop of the SIMD code.
+ *
+ * [2] zlib adler32_z() uses this fact to implement NMAX-block-based updates
+ * of the adler s1 s2 of uint32_t type (see adler32.c).
+ */
+
+#include "adler32_simd.h"
+
+/* Definitions from adler32.c: largest prime smaller than 65536 */
+#define BASE 65521U
+/* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */
+#define NMAX 5552
+
+#if defined(ADLER32_SIMD_SSSE3)
+
+#include <tmmintrin.h>
+
+uint32_t ZLIB_INTERNAL adler32_simd_( /* SSSE3 */
+ uint32_t adler,
+ const unsigned char *buf,
+ unsigned long len)
+{
+ /*
+ * Split Adler-32 into component sums.
+ */
+ uint32_t s1 = adler & 0xffff;
+ uint32_t s2 = adler >> 16;
+
+ /*
+ * Process the data in blocks.
+ */
+ const unsigned BLOCK_SIZE = 1 << 5;
+
+ unsigned long blocks = len / BLOCK_SIZE;
+ len -= blocks * BLOCK_SIZE;
+
+ while (blocks)
+ {
+ unsigned n = NMAX / BLOCK_SIZE; /* The NMAX constraint. */
+ if (n > blocks)
+ n = (unsigned) blocks;
+ blocks -= n;
+
+ const __m128i tap1 =
+ _mm_setr_epi8(32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17);
+ const __m128i tap2 =
+ _mm_setr_epi8(16,15,14,13,12,11,10, 9, 8, 7, 6, 5, 4, 3, 2, 1);
+ const __m128i zero =
+ _mm_setr_epi8( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
+ const __m128i ones =
+ _mm_set_epi16( 1, 1, 1, 1, 1, 1, 1, 1);
+
+ /*
+ * Process n blocks of data. At most NMAX data bytes can be
+ * processed before s2 must be reduced modulo BASE.
+ */
+ __m128i v_ps = _mm_set_epi32(0, 0, 0, s1 * n);
+ __m128i v_s2 = _mm_set_epi32(0, 0, 0, s2);
+ __m128i v_s1 = _mm_set_epi32(0, 0, 0, 0);
+
+ do {
+ /*
+ * Load 32 input bytes.
+ */
+ const __m128i bytes1 = _mm_loadu_si128((__m128i*)(buf));
+ const __m128i bytes2 = _mm_loadu_si128((__m128i*)(buf + 16));
+
+ /*
+ * Add previous block byte sum to v_ps.
+ */
+ v_ps = _mm_add_epi32(v_ps, v_s1);
+
+ /*
+ * Horizontally add the bytes for s1, multiply-adds the
+ * bytes by [ 32, 31, 30, ... ] for s2.
+ */
+ v_s1 = _mm_add_epi32(v_s1, _mm_sad_epu8(bytes1, zero));
+ const __m128i mad1 = _mm_maddubs_epi16(bytes1, tap1);
+ v_s2 = _mm_add_epi32(v_s2, _mm_madd_epi16(mad1, ones));
+
+ v_s1 = _mm_add_epi32(v_s1, _mm_sad_epu8(bytes2, zero));
+ const __m128i mad2 = _mm_maddubs_epi16(bytes2, tap2);
+ v_s2 = _mm_add_epi32(v_s2, _mm_madd_epi16(mad2, ones));
+
+ buf += BLOCK_SIZE;
+
+ } while (--n);
+
+ v_s2 = _mm_add_epi32(v_s2, _mm_slli_epi32(v_ps, 5));
+
+ /*
+ * Sum epi32 ints v_s1(s2) and accumulate in s1(s2).
+ */
+
+#define S23O1 _MM_SHUFFLE(2,3,0,1) /* A B C D -> B A D C */
+#define S1O32 _MM_SHUFFLE(1,0,3,2) /* A B C D -> C D A B */
+
+ v_s1 = _mm_add_epi32(v_s1, _mm_shuffle_epi32(v_s1, S23O1));
+ v_s1 = _mm_add_epi32(v_s1, _mm_shuffle_epi32(v_s1, S1O32));
+
+ s1 += _mm_cvtsi128_si32(v_s1);
+
+ v_s2 = _mm_add_epi32(v_s2, _mm_shuffle_epi32(v_s2, S23O1));
+ v_s2 = _mm_add_epi32(v_s2, _mm_shuffle_epi32(v_s2, S1O32));
+
+ s2 = _mm_cvtsi128_si32(v_s2);
+
+#undef S23O1
+#undef S1O32
+
+ /*
+ * Reduce.
+ */
+ s1 %= BASE;
+ s2 %= BASE;
+ }
+
+ /*
+ * Handle leftover data.
+ */
+ if (len) {
+ if (len >= 16) {
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ len -= 16;
+ }
+
+ while (len--) {
+ s2 += (s1 += *buf++);
+ }
+
+ if (s1 >= BASE)
+ s1 -= BASE;
+ s2 %= BASE;
+ }
+
+ /*
+ * Return the recombined sums.
+ */
+ return s1 | (s2 << 16);
+}
+
+#elif defined(ADLER32_SIMD_NEON)
+
+#include <arm_neon.h>
+
+uint32_t ZLIB_INTERNAL adler32_simd_( /* NEON */
+ uint32_t adler,
+ const unsigned char *buf,
+ unsigned long len)
+{
+ /*
+ * Split Adler-32 into component sums.
+ */
+ uint32_t s1 = adler & 0xffff;
+ uint32_t s2 = adler >> 16;
+
+ /*
+ * Serially compute s1 & s2, until the data is 16-byte aligned.
+ */
+ if ((uintptr_t)buf & 15) {
+ while ((uintptr_t)buf & 15) {
+ s2 += (s1 += *buf++);
+ --len;
+ }
+
+ if (s1 >= BASE)
+ s1 -= BASE;
+ s2 %= BASE;
+ }
+
+ /*
+ * Process the data in blocks.
+ */
+ const unsigned BLOCK_SIZE = 1 << 5;
+
+ unsigned long blocks = len / BLOCK_SIZE;
+ len -= blocks * BLOCK_SIZE;
+
+ while (blocks)
+ {
+ unsigned n = NMAX / BLOCK_SIZE; /* The NMAX constraint. */
+ if (n > blocks)
+ n = blocks;
+ blocks -= n;
+
+ /*
+ * Process n blocks of data. At most NMAX data bytes can be
+ * processed before s2 must be reduced modulo BASE.
+ */
+ uint32x4_t v_s2 = (uint32x4_t) { 0, 0, 0, s1 * n };
+ uint32x4_t v_s1 = (uint32x4_t) { 0, 0, 0, 0 };
+
+ uint16x8_t v_column_sum_1 = vdupq_n_u16(0);
+ uint16x8_t v_column_sum_2 = vdupq_n_u16(0);
+ uint16x8_t v_column_sum_3 = vdupq_n_u16(0);
+ uint16x8_t v_column_sum_4 = vdupq_n_u16(0);
+
+ do {
+ /*
+ * Load 32 input bytes.
+ */
+ const uint8x16_t bytes1 = vld1q_u8((uint8_t*)(buf));
+ const uint8x16_t bytes2 = vld1q_u8((uint8_t*)(buf + 16));
+
+ /*
+ * Add previous block byte sum to v_s2.
+ */
+ v_s2 = vaddq_u32(v_s2, v_s1);
+
+ /*
+ * Horizontally add the bytes for s1.
+ */
+ v_s1 = vpadalq_u16(v_s1, vpadalq_u8(vpaddlq_u8(bytes1), bytes2));
+
+ /*
+ * Vertically add the bytes for s2.
+ */
+ v_column_sum_1 = vaddw_u8(v_column_sum_1, vget_low_u8 (bytes1));
+ v_column_sum_2 = vaddw_u8(v_column_sum_2, vget_high_u8(bytes1));
+ v_column_sum_3 = vaddw_u8(v_column_sum_3, vget_low_u8 (bytes2));
+ v_column_sum_4 = vaddw_u8(v_column_sum_4, vget_high_u8(bytes2));
+
+ buf += BLOCK_SIZE;
+
+ } while (--n);
+
+ v_s2 = vshlq_n_u32(v_s2, 5);
+
+ /*
+ * Multiply-add bytes by [ 32, 31, 30, ... ] for s2.
+ */
+ v_s2 = vmlal_u16(v_s2, vget_low_u16 (v_column_sum_1),
+ (uint16x4_t) { 32, 31, 30, 29 });
+ v_s2 = vmlal_u16(v_s2, vget_high_u16(v_column_sum_1),
+ (uint16x4_t) { 28, 27, 26, 25 });
+ v_s2 = vmlal_u16(v_s2, vget_low_u16 (v_column_sum_2),
+ (uint16x4_t) { 24, 23, 22, 21 });
+ v_s2 = vmlal_u16(v_s2, vget_high_u16(v_column_sum_2),
+ (uint16x4_t) { 20, 19, 18, 17 });
+ v_s2 = vmlal_u16(v_s2, vget_low_u16 (v_column_sum_3),
+ (uint16x4_t) { 16, 15, 14, 13 });
+ v_s2 = vmlal_u16(v_s2, vget_high_u16(v_column_sum_3),
+ (uint16x4_t) { 12, 11, 10, 9 });
+ v_s2 = vmlal_u16(v_s2, vget_low_u16 (v_column_sum_4),
+ (uint16x4_t) { 8, 7, 6, 5 });
+ v_s2 = vmlal_u16(v_s2, vget_high_u16(v_column_sum_4),
+ (uint16x4_t) { 4, 3, 2, 1 });
+
+ /*
+ * Sum epi32 ints v_s1(s2) and accumulate in s1(s2).
+ */
+ uint32x2_t sum1 = vpadd_u32(vget_low_u32(v_s1), vget_high_u32(v_s1));
+ uint32x2_t sum2 = vpadd_u32(vget_low_u32(v_s2), vget_high_u32(v_s2));
+ uint32x2_t s1s2 = vpadd_u32(sum1, sum2);
+
+ s1 += vget_lane_u32(s1s2, 0);
+ s2 += vget_lane_u32(s1s2, 1);
+
+ /*
+ * Reduce.
+ */
+ s1 %= BASE;
+ s2 %= BASE;
+ }
+
+ /*
+ * Handle leftover data.
+ */
+ if (len) {
+ if (len >= 16) {
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+ s2 += (s1 += *buf++);
+
+ len -= 16;
+ }
+
+ while (len--) {
+ s2 += (s1 += *buf++);
+ }
+
+ if (s1 >= BASE)
+ s1 -= BASE;
+ s2 %= BASE;
+ }
+
+ /*
+ * Return the recombined sums.
+ */
+ return s1 | (s2 << 16);
+}
+
+#endif /* ADLER32_SIMD_SSSE3 */
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