You are viewing a plain text version of this content. The canonical link for it is here.
Posted to commits@doris.apache.org by ya...@apache.org on 2021/08/26 01:14:43 UTC

[incubator-doris] branch master updated: [BUG] Fix string type cast bug and runtime filter may core when not support avx2 (#6495)

This is an automated email from the ASF dual-hosted git repository.

yangzhg pushed a commit to branch master
in repository https://gitbox.apache.org/repos/asf/incubator-doris.git


The following commit(s) were added to refs/heads/master by this push:
     new acc5fd2  [BUG] Fix string type cast bug and runtime filter may core when not support avx2 (#6495)
acc5fd2 is described below

commit acc5fd2f21914ab34d1f0217b98d21b7a1d5d992
Author: Zhengguo Yang <ya...@gmail.com>
AuthorDate: Thu Aug 26 09:14:31 2021 +0800

    [BUG] Fix string type cast bug and runtime filter may core when not support avx2 (#6495)
    
    * fix string type cast bug and runtime filter instructions may not support
    
    * add arm support
---
 .rat-excludes                                      |    1 +
 LICENSE.txt                                        |   60 +-
 be/src/exprs/block_bloom_filter_impl.cc            |   12 +-
 be/src/olap/field.h                                |    8 -
 be/src/util/sse2neon.h                             | 3149 ++++++++++++++++++++
 .../java/org/apache/doris/catalog/FunctionSet.java |   61 +
 .../main/java/org/apache/doris/catalog/Type.java   |    7 +-
 gensrc/script/doris_builtins_functions.py          |  244 ++
 8 files changed, 3512 insertions(+), 30 deletions(-)

diff --git a/.rat-excludes b/.rat-excludes
index a277d32..34ae84a 100644
--- a/.rat-excludes
+++ b/.rat-excludes
@@ -34,3 +34,4 @@ murmur_hash3.*
 utf8_check.cpp
 .markdownlintignore
 tsan_suppressions
+sse2neon.h
diff --git a/LICENSE.txt b/LICENSE.txt
index f2a4bfe..a5aada2 100644
--- a/LICENSE.txt
+++ b/LICENSE.txt
@@ -448,26 +448,6 @@ SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 
 -------------------------------------------------------------------------------
 
-be/src/util/minizip/* :  Condition of use and distribution are the same than zlib :
-                    
-  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.
-
---------------------------------------------------------------------------------
-
 be/src/util/utf8_check.cpp: MIT license
 
   MIT License
@@ -524,3 +504,43 @@ LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 THE SOFTWARE.
 
+--------------------------------------------------------------------------------
+
+be/src/util/sse2neon.h: MIT license
+
+This header file provides a simple API translation layer
+between SSE intrinsics to their corresponding Arm/Aarch64 NEON versions
+
+This header file does not yet translate all of the SSE intrinsics.
+
+Contributors to this work are:
+  John W. Ratcliff <jr...@gmail.com>
+  Brandon Rowlett <br...@nvidia.com>
+  Ken Fast <kf...@gdeb.com>
+  Eric van Beurden <ev...@nvidia.com>
+  Alexander Potylitsin <ap...@nvidia.com>
+  Hasindu Gamaarachchi <ha...@gmail.com>
+  Jim Huang <js...@biilabs.io>
+  Mark Cheng <ma...@biilabs.io>
+  Malcolm James MacLeod <ma...@gulden.com>
+  Devin Hussey (easyaspi314) <hu...@gmail.com>
+
+The MIT license:
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
\ No newline at end of file
diff --git a/be/src/exprs/block_bloom_filter_impl.cc b/be/src/exprs/block_bloom_filter_impl.cc
index f38f68b..811d354 100644
--- a/be/src/exprs/block_bloom_filter_impl.cc
+++ b/be/src/exprs/block_bloom_filter_impl.cc
@@ -16,8 +16,12 @@
 // specific language governing permissions and limitations
 // under the License.
 
+#ifdef __aarch64__
+#include "util/sse2neon.h"
+#else //__aarch64__
 #include <emmintrin.h>
 #include <mm_malloc.h>
+#endif
 
 #include <algorithm>
 #include <climits>
@@ -108,10 +112,16 @@ void BlockBloomFilter::bucket_insert(const uint32_t bucket_idx, const uint32_t h
         new_bucket[i] = 1U << new_bucket[i];
     }
     for (int i = 0; i < 2; ++i) {
+#ifdef __aarch64__
+        uint8x16_t new_bucket_neon = vreinterpretq_u8_u32(vld1q_u32(new_bucket + 4 * i));
+        uint8x16_t* existing_bucket = reinterpret_cast<uint8x16_t*>(&_directory[bucket_idx][4 * i]);
+        *existing_bucket = vorrq_u8(*existing_bucket, new_bucket_neon);
+#else
         __m128i new_bucket_sse = _mm_load_si128(reinterpret_cast<__m128i*>(new_bucket + 4 * i));
         __m128i* existing_bucket =
                 reinterpret_cast<__m128i*>(&DCHECK_NOTNULL(_directory)[bucket_idx][4 * i]);
         *existing_bucket = _mm_or_si128(*existing_bucket, new_bucket_sse);
+#endif
     }
 }
 
@@ -164,7 +174,7 @@ void BlockBloomFilter::or_equal_array_internal(size_t n, const uint8_t* __restri
 #ifdef __AVX2__
     BlockBloomFilter::or_equal_array_avx2(n, in, out);
 #else
-    BlockBloomFilter::or_equal_array(n, in, out);
+    BlockBloomFilter::or_equal_array_no_avx2(n, in, out);
 #endif
 }
 
diff --git a/be/src/olap/field.h b/be/src/olap/field.h
index b7e04bb..60cd4c1 100644
--- a/be/src/olap/field.h
+++ b/be/src/olap/field.h
@@ -239,14 +239,6 @@ public:
     // used by init scan key stored in string format
     // value_string should end with '\0'
     inline OLAPStatus from_string(char* buf, const std::string& value_string) const {
-        if (type() == OLAP_FIELD_TYPE_STRING) {
-            auto dst_slice = reinterpret_cast<Slice*>(buf);
-            if (dst_slice->size < value_string.size()) {
-                *_long_text_buf = static_cast<char*>(realloc(*_long_text_buf, value_string.size()));
-                dst_slice->data = *_long_text_buf;
-                dst_slice->size = value_string.size();
-            }
-        }
         return _type_info->from_string(buf, value_string);
     }
 
diff --git a/be/src/util/sse2neon.h b/be/src/util/sse2neon.h
new file mode 100644
index 0000000..cf4b5f8
--- /dev/null
+++ b/be/src/util/sse2neon.h
@@ -0,0 +1,3149 @@
+#ifndef SSE2NEON_H
+#define SSE2NEON_H
+
+// This header file provides a simple API translation layer
+// between SSE intrinsics to their corresponding Arm/Aarch64 NEON versions
+//
+// This header file does not yet translate all of the SSE intrinsics.
+//
+// Contributors to this work are:
+//   John W. Ratcliff <jr...@gmail.com>
+//   Brandon Rowlett <br...@nvidia.com>
+//   Ken Fast <kf...@gdeb.com>
+//   Eric van Beurden <ev...@nvidia.com>
+//   Alexander Potylitsin <ap...@nvidia.com>
+//   Hasindu Gamaarachchi <ha...@gmail.com>
+//   Jim Huang <js...@biilabs.io>
+//   Mark Cheng <ma...@biilabs.io>
+//   Malcolm James MacLeod <ma...@gulden.com>
+//   Devin Hussey (easyaspi314) <hu...@gmail.com>
+
+/*
+ * The MIT license:
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#if defined(__GNUC__) || defined(__clang__)
+
+#pragma push_macro("FORCE_INLINE")
+#pragma push_macro("ALIGN_STRUCT")
+#define FORCE_INLINE static inline __attribute__((always_inline))
+#define ALIGN_STRUCT(x) __attribute__((aligned(x)))
+
+#else
+
+#error "Macro name collisions may happens with unknown compiler"
+#ifdef FORCE_INLINE
+#undef FORCE_INLINE
+#endif
+#define FORCE_INLINE static inline
+#ifndef ALIGN_STRUCT
+#define ALIGN_STRUCT(x) __declspec(align(x))
+#endif
+
+#endif
+
+#include <arm_neon.h>
+#include <stdint.h>
+#include <stdlib.h>
+
+/**
+ * MACRO for shuffle parameter for _mm_shuffle_ps().
+ * Argument fp3 is a digit[0123] that represents the fp from argument "b"
+ * of mm_shuffle_ps that will be placed in fp3 of result. fp2 is the same
+ * for fp2 in result. fp1 is a digit[0123] that represents the fp from
+ * argument "a" of mm_shuffle_ps that will be places in fp1 of result.
+ * fp0 is the same for fp0 of result.
+ */
+#define _MM_SHUFFLE(fp3, fp2, fp1, fp0) (((fp3) << 6) | ((fp2) << 4) | ((fp1) << 2) | ((fp0)))
+
+/* indicate immediate constant argument in a given range */
+#define __constrange(a, b) const
+
+typedef float32x2_t __m64;
+typedef float32x4_t __m128;
+typedef int64x2_t __m128i;
+
+// ******************************************
+// type-safe casting between types
+// ******************************************
+
+#define vreinterpretq_m128_f16(x) vreinterpretq_f32_f16(x)
+#define vreinterpretq_m128_f32(x) (x)
+#define vreinterpretq_m128_f64(x) vreinterpretq_f32_f64(x)
+
+#define vreinterpretq_m128_u8(x) vreinterpretq_f32_u8(x)
+#define vreinterpretq_m128_u16(x) vreinterpretq_f32_u16(x)
+#define vreinterpretq_m128_u32(x) vreinterpretq_f32_u32(x)
+#define vreinterpretq_m128_u64(x) vreinterpretq_f32_u64(x)
+
+#define vreinterpretq_m128_s8(x) vreinterpretq_f32_s8(x)
+#define vreinterpretq_m128_s16(x) vreinterpretq_f32_s16(x)
+#define vreinterpretq_m128_s32(x) vreinterpretq_f32_s32(x)
+#define vreinterpretq_m128_s64(x) vreinterpretq_f32_s64(x)
+
+#define vreinterpretq_f16_m128(x) vreinterpretq_f16_f32(x)
+#define vreinterpretq_f32_m128(x) (x)
+#define vreinterpretq_f64_m128(x) vreinterpretq_f64_f32(x)
+
+#define vreinterpretq_u8_m128(x) vreinterpretq_u8_f32(x)
+#define vreinterpretq_u16_m128(x) vreinterpretq_u16_f32(x)
+#define vreinterpretq_u32_m128(x) vreinterpretq_u32_f32(x)
+#define vreinterpretq_u64_m128(x) vreinterpretq_u64_f32(x)
+
+#define vreinterpretq_s8_m128(x) vreinterpretq_s8_f32(x)
+#define vreinterpretq_s16_m128(x) vreinterpretq_s16_f32(x)
+#define vreinterpretq_s32_m128(x) vreinterpretq_s32_f32(x)
+#define vreinterpretq_s64_m128(x) vreinterpretq_s64_f32(x)
+
+#define vreinterpretq_m128i_s8(x) vreinterpretq_s64_s8(x)
+#define vreinterpretq_m128i_s16(x) vreinterpretq_s64_s16(x)
+#define vreinterpretq_m128i_s32(x) vreinterpretq_s64_s32(x)
+#define vreinterpretq_m128i_s64(x) (x)
+
+#define vreinterpretq_m128i_u8(x) vreinterpretq_s64_u8(x)
+#define vreinterpretq_m128i_u16(x) vreinterpretq_s64_u16(x)
+#define vreinterpretq_m128i_u32(x) vreinterpretq_s64_u32(x)
+#define vreinterpretq_m128i_u64(x) vreinterpretq_s64_u64(x)
+
+#define vreinterpretq_s8_m128i(x) vreinterpretq_s8_s64(x)
+#define vreinterpretq_s16_m128i(x) vreinterpretq_s16_s64(x)
+#define vreinterpretq_s32_m128i(x) vreinterpretq_s32_s64(x)
+#define vreinterpretq_s64_m128i(x) (x)
+
+#define vreinterpretq_u8_m128i(x) vreinterpretq_u8_s64(x)
+#define vreinterpretq_u16_m128i(x) vreinterpretq_u16_s64(x)
+#define vreinterpretq_u32_m128i(x) vreinterpretq_u32_s64(x)
+#define vreinterpretq_u64_m128i(x) vreinterpretq_u64_s64(x)
+
+// A struct is defined in this header file called 'SIMDVec' which can be used
+// by applications which attempt to access the contents of an _m128 struct
+// directly.  It is important to note that accessing the __m128 struct directly
+// is bad coding practice by Microsoft: @see:
+// https://msdn.microsoft.com/en-us/library/ayeb3ayc.aspx
+//
+// However, some legacy source code may try to access the contents of an __m128
+// struct directly so the developer can use the SIMDVec as an alias for it.  Any
+// casting must be done manually by the developer, as you cannot cast or
+// otherwise alias the base NEON data type for intrinsic operations.
+//
+// union intended to allow direct access to an __m128 variable using the names
+// that the MSVC compiler provides.  This union should really only be used when
+// trying to access the members of the vector as integer values.  GCC/clang
+// allow native access to the float members through a simple array access
+// operator (in C since 4.6, in C++ since 4.8).
+//
+// Ideally direct accesses to SIMD vectors should not be used since it can cause
+// a performance hit.  If it really is needed however, the original __m128
+// variable can be aliased with a pointer to this union and used to access
+// individual components.  The use of this union should be hidden behind a macro
+// that is used throughout the codebase to access the members instead of always
+// declaring this type of variable.
+typedef union ALIGN_STRUCT(16) SIMDVec {
+    float m128_f32[4];    // as floats - do not to use this.  Added for convenience.
+    int8_t m128_i8[16];   // as signed 8-bit integers.
+    int16_t m128_i16[8];  // as signed 16-bit integers.
+    int32_t m128_i32[4];  // as signed 32-bit integers.
+    int64_t m128_i64[2];  // as signed 64-bit integers.
+    uint8_t m128_u8[16];  // as unsigned 8-bit integers.
+    uint16_t m128_u16[8]; // as unsigned 16-bit integers.
+    uint32_t m128_u32[4]; // as unsigned 32-bit integers.
+    uint64_t m128_u64[2]; // as unsigned 64-bit integers.
+} SIMDVec;
+
+// casting using SIMDVec
+#define vreinterpretq_nth_u64_m128i(x, n) (((SIMDVec*)&x)->m128_u64[n]) //NOLINT
+#define vreinterpretq_nth_u32_m128i(x, n) (((SIMDVec*)&x)->m128_u32[n]) //NOLINT
+
+// ******************************************
+// Backwards compatibility for compilers with lack of specific type support
+// ******************************************
+
+// Older gcc does not define vld1q_u8_x4 type
+#if defined(__GNUC__) && !defined(__clang__)
+#if __GNUC__ <= 9
+FORCE_INLINE uint8x16x4_t vld1q_u8_x4(const uint8_t* p) {
+    uint8x16x4_t ret;
+    ret.val[0] = vld1q_u8(p + 0);
+    ret.val[1] = vld1q_u8(p + 16);
+    ret.val[2] = vld1q_u8(p + 32);
+    ret.val[3] = vld1q_u8(p + 48);
+    return ret;
+}
+#endif
+#endif
+
+// ******************************************
+// Set/get methods
+// ******************************************
+
+// Loads one cache line of data from address p to a location closer to the
+// processor. https://msdn.microsoft.com/en-us/library/84szxsww(v=vs.100).aspx
+FORCE_INLINE void _mm_prefetch(const void* p, int i) {
+    (void)i;
+    __builtin_prefetch(p);
+}
+
+// extracts the lower order floating point value from the parameter :
+// https://msdn.microsoft.com/en-us/library/bb514059%28v=vs.120%29.aspx?f=255&MSPPError=-2147217396
+FORCE_INLINE float _mm_cvtss_f32(__m128 a) {
+    return vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+}
+
+// Sets the 128-bit value to zero
+// https://msdn.microsoft.com/en-us/library/vstudio/ys7dw0kh(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_setzero_si128(void) {
+    return vreinterpretq_m128i_s32(vdupq_n_s32(0));
+}
+
+// Clears the four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/tk1t2tbz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_setzero_ps(void) {
+    return vreinterpretq_m128_f32(vdupq_n_f32(0));
+}
+
+// Sets the four single-precision, floating-point values to w.
+//
+//   r0 := r1 := r2 := r3 := w
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/2x1se8ha(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set1_ps(float _w) {
+    return vreinterpretq_m128_f32(vdupq_n_f32(_w));
+}
+
+// Sets the four single-precision, floating-point values to w.
+// https://msdn.microsoft.com/en-us/library/vstudio/2x1se8ha(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set_ps1(float _w) {
+    return vreinterpretq_m128_f32(vdupq_n_f32(_w));
+}
+
+// Sets the four single-precision, floating-point values to the four inputs.
+// https://msdn.microsoft.com/en-us/library/vstudio/afh0zf75(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set_ps(float w, float z, float y, float x) {
+    float __attribute__((aligned(16))) data[4] = {x, y, z, w};
+    return vreinterpretq_m128_f32(vld1q_f32(data));
+}
+
+// Sets the four single-precision, floating-point values to the four inputs in
+// reverse order.
+// https://msdn.microsoft.com/en-us/library/vstudio/d2172ct3(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_setr_ps(float w, float z, float y, float x) {
+    float __attribute__((aligned(16))) data[4] = {w, z, y, x};
+    return vreinterpretq_m128_f32(vld1q_f32(data));
+}
+
+// Sets the 8 signed 16-bit integer values in reverse order.
+//
+// Return Value
+//   r0 := w0
+//   r1 := w1
+//   ...
+//   r7 := w7
+FORCE_INLINE __m128i _mm_setr_epi16(short w0, short w1, short w2, short w3,   //NOLINT
+                                    short w4, short w5, short w6, short w7) { //NOLINT
+    int16_t __attribute__((aligned(16))) data[8] = {w0, w1, w2, w3, w4, w5, w6, w7};
+    return vreinterpretq_m128i_s16(vld1q_s16((int16_t*)data)); //NOLINT
+}
+
+// Sets the 4 signed 32-bit integer values in reverse order
+// https://technet.microsoft.com/en-us/library/security/27yb3ee5(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_setr_epi32(int i3, int i2, int i1, int i0) {
+    int32_t __attribute__((aligned(16))) data[4] = {i3, i2, i1, i0};
+    return vreinterpretq_m128i_s32(vld1q_s32(data));
+}
+
+// Sets the 16 signed 8-bit integer values to b.
+//
+//   r0 := b
+//   r1 := b
+//   ...
+//   r15 := b
+//
+// https://msdn.microsoft.com/en-us/library/6e14xhyf(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set1_epi8(signed char w) {
+    return vreinterpretq_m128i_s8(vdupq_n_s8(w));
+}
+
+// Sets the 8 signed 16-bit integer values to w.
+//
+//   r0 := w
+//   r1 := w
+//   ...
+//   r7 := w
+//
+// https://msdn.microsoft.com/en-us/library/k0ya3x0e(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set1_epi16(short w) { //NOLINT
+    return vreinterpretq_m128i_s16(vdupq_n_s16(w));
+}
+
+// Sets the 16 signed 8-bit integer values.
+// https://msdn.microsoft.com/en-us/library/x0cx8zd3(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set_epi8(signed char b15, signed char b14, signed char b13,
+                                  signed char b12, signed char b11, signed char b10, signed char b9,
+                                  signed char b8, signed char b7, signed char b6, signed char b5,
+                                  signed char b4, signed char b3, signed char b2, signed char b1,
+                                  signed char b0) {
+    int8_t __attribute__((aligned(16)))
+    data[16] = {(int8_t)b0,  (int8_t)b1,  (int8_t)b2,  (int8_t)b3, (int8_t)b4,  (int8_t)b5,
+                (int8_t)b6,  (int8_t)b7,  (int8_t)b8,  (int8_t)b9, (int8_t)b10, (int8_t)b11,
+                (int8_t)b12, (int8_t)b13, (int8_t)b14, (int8_t)b15};
+    return (__m128i)vld1q_s8(data);
+}
+
+// Sets the 8 signed 16-bit integer values.
+// https://msdn.microsoft.com/en-au/library/3e0fek84(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set_epi16(short i7, short i6, short i5, short i4,   //NOLINT
+                                   short i3, short i2, short i1, short i0) { //NOLINT
+    int16_t __attribute__((aligned(16))) data[8] = {i0, i1, i2, i3, i4, i5, i6, i7};
+    return vreinterpretq_m128i_s16(vld1q_s16(data));
+}
+
+// Sets the 16 signed 8-bit integer values in reverse order.
+// https://msdn.microsoft.com/en-us/library/2khb9c7k(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_setr_epi8(signed char b0, signed char b1, signed char b2, signed char b3,
+                                   signed char b4, signed char b5, signed char b6, signed char b7,
+                                   signed char b8, signed char b9, signed char b10, signed char b11,
+                                   signed char b12, signed char b13, signed char b14,
+                                   signed char b15) {
+    int8_t __attribute__((aligned(16)))
+    data[16] = {(int8_t)b0,  (int8_t)b1,  (int8_t)b2,  (int8_t)b3, (int8_t)b4,  (int8_t)b5,
+                (int8_t)b6,  (int8_t)b7,  (int8_t)b8,  (int8_t)b9, (int8_t)b10, (int8_t)b11,
+                (int8_t)b12, (int8_t)b13, (int8_t)b14, (int8_t)b15};
+    return (__m128i)vld1q_s8(data);
+}
+
+// Sets the 4 signed 32-bit integer values to i.
+//
+//   r0 := i
+//   r1 := i
+//   r2 := i
+//   r3 := I
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/h4xscxat(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set1_epi32(int _i) {
+    return vreinterpretq_m128i_s32(vdupq_n_s32(_i));
+}
+
+// Sets the 2 signed 64-bit integer values to i.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/whtfzhzk(v=vs.100)
+FORCE_INLINE __m128i _mm_set1_epi64(int64_t _i) {
+    return vreinterpretq_m128i_s64(vdupq_n_s64(_i));
+}
+
+// Sets the 2 signed 64-bit integer values to i.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set1_epi64x&expand=4961
+FORCE_INLINE __m128i _mm_set1_epi64x(int64_t _i) {
+    return vreinterpretq_m128i_s64(vdupq_n_s64(_i));
+}
+
+// Sets the 4 signed 32-bit integer values.
+// https://msdn.microsoft.com/en-us/library/vstudio/019beekt(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set_epi32(int i3, int i2, int i1, int i0) {
+    int32_t __attribute__((aligned(16))) data[4] = {i0, i1, i2, i3};
+    return vreinterpretq_m128i_s32(vld1q_s32(data));
+}
+
+// Returns the __m128i structure with its two 64-bit integer values
+// initialized to the values of the two 64-bit integers passed in.
+// https://msdn.microsoft.com/en-us/library/dk2sdw0h(v=vs.120).aspx
+FORCE_INLINE __m128i _mm_set_epi64x(int64_t i1, int64_t i2) {
+    int64_t __attribute__((aligned(16))) data[2] = {i2, i1};
+    return vreinterpretq_m128i_s64(vld1q_s64(data));
+}
+
+// Stores four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/s3h4ay6y(v=vs.100).aspx
+FORCE_INLINE void _mm_store_ps(float* p, __m128 a) {
+    vst1q_f32(p, vreinterpretq_f32_m128(a));
+}
+
+// Stores four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/44e30x22(v=vs.100).aspx
+FORCE_INLINE void _mm_storeu_ps(float* p, __m128 a) {
+    vst1q_f32(p, vreinterpretq_f32_m128(a));
+}
+
+// Stores four 32-bit integer values as (as a __m128i value) at the address p.
+// https://msdn.microsoft.com/en-us/library/vstudio/edk11s13(v=vs.100).aspx
+FORCE_INLINE void _mm_store_si128(__m128i* p, __m128i a) {
+    vst1q_s32((int32_t*)p, vreinterpretq_s32_m128i(a)); //NOLINT
+}
+
+// Stores four 32-bit integer values as (as a __m128i value) at the address p.
+// https://msdn.microsoft.com/en-us/library/vstudio/edk11s13(v=vs.100).aspx
+FORCE_INLINE void _mm_storeu_si128(__m128i* p, __m128i a) {
+    vst1q_s32((int32_t*)p, vreinterpretq_s32_m128i(a)); //NOLINT
+}
+
+// Stores the lower single - precision, floating - point value.
+// https://msdn.microsoft.com/en-us/library/tzz10fbx(v=vs.100).aspx
+FORCE_INLINE void _mm_store_ss(float* p, __m128 a) {
+    vst1q_lane_f32(p, vreinterpretq_f32_m128(a), 0);
+}
+
+// Reads the lower 64 bits of b and stores them into the lower 64 bits of a.
+// https://msdn.microsoft.com/en-us/library/hhwf428f%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_storel_epi64(__m128i* a, __m128i b) {
+    uint64x1_t hi = vget_high_u64(vreinterpretq_u64_m128i(*a));
+    uint64x1_t lo = vget_low_u64(vreinterpretq_u64_m128i(b));
+    *a = vreinterpretq_m128i_u64(vcombine_u64(lo, hi));
+}
+
+// Stores the lower two single-precision floating point values of a to the
+// address p.
+//
+//   *p0 := b0
+//   *p1 := b1
+//
+// https://msdn.microsoft.com/en-us/library/h54t98ks(v=vs.90).aspx
+FORCE_INLINE void _mm_storel_pi(__m64* p, __m128 a) {
+    *p = vget_low_f32(a);
+}
+
+// Loads a single single-precision, floating-point value, copying it into all
+// four words
+// https://msdn.microsoft.com/en-us/library/vstudio/5cdkf716(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_load1_ps(const float* p) {
+    return vreinterpretq_m128_f32(vld1q_dup_f32(p));
+}
+#define _mm_load_ps1 _mm_load1_ps
+
+// Sets the lower two single-precision, floating-point values with 64
+// bits of data loaded from the address p; the upper two values are passed
+// through from a.
+//
+// Return Value
+//   r0 := *p0
+//   r1 := *p1
+//   r2 := a2
+//   r3 := a3
+//
+// https://msdn.microsoft.com/en-us/library/s57cyak2(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_loadl_pi(__m128 a, __m64 const* b) {
+    return vreinterpretq_m128_f32(vcombine_f32(vld1_f32((const float32_t*)b), vget_high_f32(a)));
+}
+
+// Loads four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/zzd50xxt(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_load_ps(const float* p) {
+    return vreinterpretq_m128_f32(vld1q_f32(p));
+}
+
+// Loads four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/x1b16s7z%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_loadu_ps(const float* p) {
+    // for neon, alignment doesn't matter, so _mm_load_ps and _mm_loadu_ps are
+    // equivalent for neon
+    return vreinterpretq_m128_f32(vld1q_f32(p));
+}
+
+// Loads an single - precision, floating - point value into the low word and
+// clears the upper three words.
+// https://msdn.microsoft.com/en-us/library/548bb9h4%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_load_ss(const float* p) {
+    return vreinterpretq_m128_f32(vsetq_lane_f32(*p, vdupq_n_f32(0), 0));
+}
+
+FORCE_INLINE __m128i _mm_loadl_epi64(__m128i const* p) {
+    /* Load the lower 64 bits of the value pointed to by p into the
+   * lower 64 bits of the result, zeroing the upper 64 bits of the result.
+   */
+    return vreinterpretq_m128i_s32(vcombine_s32(vld1_s32((int32_t const*)p), vcreate_s32(0)));
+}
+
+// ******************************************
+// Logic/Binary operations
+// ******************************************
+
+// Compares for inequality.
+// https://msdn.microsoft.com/en-us/library/sf44thbx(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpneq_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(
+            vmvnq_u32(vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b))));
+}
+
+// Computes the bitwise AND-NOT of the four single-precision, floating-point
+// values of a and b.
+//
+//   r0 := ~a0 & b0
+//   r1 := ~a1 & b1
+//   r2 := ~a2 & b2
+//   r3 := ~a3 & b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/68h7wd02(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_andnot_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_s32(vbicq_s32(vreinterpretq_s32_m128(b),
+                                            vreinterpretq_s32_m128(a))); // *NOTE* argument swap
+}
+
+// Computes the bitwise AND of the 128-bit value in b and the bitwise NOT of the
+// 128-bit value in a.
+//
+//   r := (~a) & b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1beaceh8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_andnot_si128(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(vbicq_s32(vreinterpretq_s32_m128i(b),
+                                             vreinterpretq_s32_m128i(a))); // *NOTE* argument swap
+}
+
+// Computes the bitwise AND of the 128-bit value in a and the 128-bit value in
+// b.
+//
+//   r := a & b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/6d1txsa8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_and_si128(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vandq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the bitwise AND of the four single-precision, floating-point values
+// of a and b.
+//
+//   r0 := a0 & b0
+//   r1 := a1 & b1
+//   r2 := a2 & b2
+//   r3 := a3 & b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/73ck1xc5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_and_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_s32(vandq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Computes the bitwise OR of the four single-precision, floating-point values
+// of a and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/7ctdsyy0(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_or_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_s32(vorrq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Computes bitwise EXOR (exclusive-or) of the four single-precision,
+// floating-point values of a and b.
+// https://msdn.microsoft.com/en-us/library/ss6k3wk8(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_xor_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_s32(veorq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Computes the bitwise OR of the 128-bit value in a and the 128-bit value in b.
+//
+//   r := a | b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/ew8ty0db(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_or_si128(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vorrq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the bitwise XOR of the 128-bit value in a and the 128-bit value in
+// b.  https://msdn.microsoft.com/en-us/library/fzt08www(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_xor_si128(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            veorq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Moves the upper two values of B into the lower two values of A.
+//
+//   r3 := a3
+//   r2 := a2
+//   r1 := b3
+//   r0 := b2
+FORCE_INLINE __m128 _mm_movehl_ps(__m128 __A, __m128 __B) {
+    float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(__A));
+    float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(__B));
+    return vreinterpretq_m128_f32(vcombine_f32(b32, a32));
+}
+
+// Moves the lower two values of B into the upper two values of A.
+//
+//   r3 := b1
+//   r2 := b0
+//   r1 := a1
+//   r0 := a0
+FORCE_INLINE __m128 _mm_movelh_ps(__m128 __A, __m128 __B) {
+    float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(__A));
+    float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(__B));
+    return vreinterpretq_m128_f32(vcombine_f32(a10, b10));
+}
+
+FORCE_INLINE __m128i _mm_abs_epi32(__m128i a) {
+    return vreinterpretq_m128i_s32(vabsq_s32(vreinterpretq_s32_m128i(a)));
+}
+
+FORCE_INLINE __m128i _mm_abs_epi16(__m128i a) {
+    return vreinterpretq_m128i_s16(vabsq_s16(vreinterpretq_s16_m128i(a)));
+}
+
+FORCE_INLINE __m128i _mm_abs_epi8(__m128i a) {
+    return vreinterpretq_m128i_s8(vabsq_s8(vreinterpretq_s8_m128i(a)));
+}
+
+// Takes the upper 64 bits of a and places it in the low end of the result
+// Takes the lower 64 bits of b and places it into the high end of the result.
+FORCE_INLINE __m128 _mm_shuffle_ps_1032(__m128 a, __m128 b) {
+    float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(a32, b10));
+}
+
+// takes the lower two 32-bit values from a and swaps them and places in high
+// end of result takes the higher two 32 bit values from b and swaps them and
+// places in low end of result.
+FORCE_INLINE __m128 _mm_shuffle_ps_2301(__m128 a, __m128 b) {
+    float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+    float32x2_t b23 = vrev64_f32(vget_high_f32(vreinterpretq_f32_m128(b)));
+    return vreinterpretq_m128_f32(vcombine_f32(a01, b23));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0321(__m128 a, __m128 b) {
+    float32x2_t a21 =
+            vget_high_f32(vextq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 3));
+    float32x2_t b03 =
+            vget_low_f32(vextq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b), 3));
+    return vreinterpretq_m128_f32(vcombine_f32(a21, b03));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2103(__m128 a, __m128 b) {
+    float32x2_t a03 =
+            vget_low_f32(vextq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 3));
+    float32x2_t b21 =
+            vget_high_f32(vextq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b), 3));
+    return vreinterpretq_m128_f32(vcombine_f32(a03, b21));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1010(__m128 a, __m128 b) {
+    float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(a10, b10));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1001(__m128 a, __m128 b) {
+    float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+    float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(a01, b10));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0101(__m128 a, __m128 b) {
+    float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+    float32x2_t b01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(b)));
+    return vreinterpretq_m128_f32(vcombine_f32(a01, b01));
+}
+
+// keeps the low 64 bits of b in the low and puts the high 64 bits of a in the
+// high
+FORCE_INLINE __m128 _mm_shuffle_ps_3210(__m128 a, __m128 b) {
+    float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(a10, b32));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0011(__m128 a, __m128 b) {
+    float32x2_t a11 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(a)), 1);
+    float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+    return vreinterpretq_m128_f32(vcombine_f32(a11, b00));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0022(__m128 a, __m128 b) {
+    float32x2_t a22 = vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 0);
+    float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+    return vreinterpretq_m128_f32(vcombine_f32(a22, b00));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2200(__m128 a, __m128 b) {
+    float32x2_t a00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(a)), 0);
+    float32x2_t b22 = vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(b)), 0);
+    return vreinterpretq_m128_f32(vcombine_f32(a00, b22));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_3202(__m128 a, __m128 b) {
+    float32_t a0 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+    float32x2_t a22 = vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 0);
+    float32x2_t a02 = vset_lane_f32(a0, a22, 1); /* TODO: use vzip ?*/
+    float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(a02, b32));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1133(__m128 a, __m128 b) {
+    float32x2_t a33 = vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 1);
+    float32x2_t b11 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 1);
+    return vreinterpretq_m128_f32(vcombine_f32(a33, b11));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2010(__m128 a, __m128 b) {
+    float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+    float32_t b2 = vgetq_lane_f32(vreinterpretq_f32_m128(b), 2);
+    float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+    float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+    return vreinterpretq_m128_f32(vcombine_f32(a10, b20));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2001(__m128 a, __m128 b) {
+    float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+    float32_t b2 = vgetq_lane_f32(b, 2);
+    float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+    float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+    return vreinterpretq_m128_f32(vcombine_f32(a01, b20));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2032(__m128 a, __m128 b) {
+    float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+    float32_t b2 = vgetq_lane_f32(b, 2);
+    float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+    float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+    return vreinterpretq_m128_f32(vcombine_f32(a32, b20));
+}
+
+// NEON does not support a general purpose permute intrinsic
+// Selects four specific single-precision, floating-point values from a and b,
+// based on the mask i.
+// https://msdn.microsoft.com/en-us/library/vstudio/5f0858x0(v=vs.100).aspx
+#if 0 /* C version */
+FORCE_INLINE __m128 _mm_shuffle_ps_default(__m128 a,
+                                           __m128 b,
+                                           __constrange(0, 255) int imm) {
+    __m128 ret;
+    ret[0] = a[imm & 0x3];
+    ret[1] = a[(imm >> 2) & 0x3];
+    ret[2] = b[(imm >> 4) & 0x03];
+    ret[3] = b[(imm >> 6) & 0x03];
+    return ret;
+}
+#endif
+#define _mm_shuffle_ps_default(a, b, imm)                                                        \
+    __extension__({                                                                              \
+        float32x4_t ret;                                                                         \
+        ret = vmovq_n_f32(vgetq_lane_f32(vreinterpretq_f32_m128(a), (imm)&0x3));                 \
+        ret = vsetq_lane_f32(vgetq_lane_f32(vreinterpretq_f32_m128(a), ((imm) >> 2) & 0x3), ret, \
+                             1);                                                                 \
+        ret = vsetq_lane_f32(vgetq_lane_f32(vreinterpretq_f32_m128(b), ((imm) >> 4) & 0x3), ret, \
+                             2);                                                                 \
+        ret = vsetq_lane_f32(vgetq_lane_f32(vreinterpretq_f32_m128(b), ((imm) >> 6) & 0x3), ret, \
+                             3);                                                                 \
+        vreinterpretq_m128_f32(ret);                                                             \
+    })
+
+// FORCE_INLINE __m128 _mm_shuffle_ps(__m128 a, __m128 b, __constrange(0,255)
+// int imm)
+#if defined(__clang__)
+#define _mm_shuffle_ps(a, b, imm)                                                            \
+    __extension__({                                                                          \
+        float32x4_t _input1 = vreinterpretq_f32_m128(a);                                     \
+        float32x4_t _input2 = vreinterpretq_f32_m128(b);                                     \
+        float32x4_t _shuf =                                                                  \
+                __builtin_shufflevector(_input1, _input2, (imm)&0x3, ((imm) >> 2) & 0x3,     \
+                                        (((imm) >> 4) & 0x3) + 4, (((imm) >> 6) & 0x3) + 4); \
+        vreinterpretq_m128_f32(_shuf);                                                       \
+    })
+#else // generic
+#define _mm_shuffle_ps(a, b, imm)                          \
+    __extension__({                                        \
+        __m128 ret;                                        \
+        switch (imm) {                                     \
+        case _MM_SHUFFLE(1, 0, 3, 2):                      \
+            ret = _mm_shuffle_ps_1032((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 3, 0, 1):                      \
+            ret = _mm_shuffle_ps_2301((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(0, 3, 2, 1):                      \
+            ret = _mm_shuffle_ps_0321((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 1, 0, 3):                      \
+            ret = _mm_shuffle_ps_2103((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(1, 0, 1, 0):                      \
+            ret = _mm_movelh_ps((a), (b));                 \
+            break;                                         \
+        case _MM_SHUFFLE(1, 0, 0, 1):                      \
+            ret = _mm_shuffle_ps_1001((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(0, 1, 0, 1):                      \
+            ret = _mm_shuffle_ps_0101((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(3, 2, 1, 0):                      \
+            ret = _mm_shuffle_ps_3210((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(0, 0, 1, 1):                      \
+            ret = _mm_shuffle_ps_0011((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(0, 0, 2, 2):                      \
+            ret = _mm_shuffle_ps_0022((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 2, 0, 0):                      \
+            ret = _mm_shuffle_ps_2200((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(3, 2, 0, 2):                      \
+            ret = _mm_shuffle_ps_3202((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(3, 2, 3, 2):                      \
+            ret = _mm_movehl_ps((b), (a));                 \
+            break;                                         \
+        case _MM_SHUFFLE(1, 1, 3, 3):                      \
+            ret = _mm_shuffle_ps_1133((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 0, 1, 0):                      \
+            ret = _mm_shuffle_ps_2010((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 0, 0, 1):                      \
+            ret = _mm_shuffle_ps_2001((a), (b));           \
+            break;                                         \
+        case _MM_SHUFFLE(2, 0, 3, 2):                      \
+            ret = _mm_shuffle_ps_2032((a), (b));           \
+            break;                                         \
+        default:                                           \
+            ret = _mm_shuffle_ps_default((a), (b), (imm)); \
+            break;                                         \
+        }                                                  \
+        ret;                                               \
+    })
+#endif // not clang
+
+// Takes the upper 64 bits of a and places it in the low end of the result
+// Takes the lower 64 bits of a and places it into the high end of the result.
+FORCE_INLINE __m128i _mm_shuffle_epi_1032(__m128i a) {
+    int32x2_t a32 = vget_high_s32(vreinterpretq_s32_m128i(a));
+    int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+    return vreinterpretq_m128i_s32(vcombine_s32(a32, a10));
+}
+
+// takes the lower two 32-bit values from a and swaps them and places in low end
+// of result takes the higher two 32 bit values from a and swaps them and places
+// in high end of result.
+FORCE_INLINE __m128i _mm_shuffle_epi_2301(__m128i a) {
+    int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+    int32x2_t a23 = vrev64_s32(vget_high_s32(vreinterpretq_s32_m128i(a)));
+    return vreinterpretq_m128i_s32(vcombine_s32(a01, a23));
+}
+
+// rotates the least significant 32 bits into the most signficant 32 bits, and
+// shifts the rest down
+FORCE_INLINE __m128i _mm_shuffle_epi_0321(__m128i a) {
+    return vreinterpretq_m128i_s32(
+            vextq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(a), 1));
+}
+
+// rotates the most significant 32 bits into the least signficant 32 bits, and
+// shifts the rest up
+FORCE_INLINE __m128i _mm_shuffle_epi_2103(__m128i a) {
+    return vreinterpretq_m128i_s32(
+            vextq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(a), 3));
+}
+
+// gets the lower 64 bits of a, and places it in the upper 64 bits
+// gets the lower 64 bits of a and places it in the lower 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_1010(__m128i a) {
+    int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+    return vreinterpretq_m128i_s32(vcombine_s32(a10, a10));
+}
+
+// gets the lower 64 bits of a, swaps the 0 and 1 elements, and places it in the
+// lower 64 bits gets the lower 64 bits of a, and places it in the upper 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_1001(__m128i a) {
+    int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+    int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+    return vreinterpretq_m128i_s32(vcombine_s32(a01, a10));
+}
+
+// gets the lower 64 bits of a, swaps the 0 and 1 elements and places it in the
+// upper 64 bits gets the lower 64 bits of a, swaps the 0 and 1 elements, and
+// places it in the lower 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_0101(__m128i a) {
+    int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+    return vreinterpretq_m128i_s32(vcombine_s32(a01, a01));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_2211(__m128i a) {
+    int32x2_t a11 = vdup_lane_s32(vget_low_s32(vreinterpretq_s32_m128i(a)), 1);
+    int32x2_t a22 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 0);
+    return vreinterpretq_m128i_s32(vcombine_s32(a11, a22));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_0122(__m128i a) {
+    int32x2_t a22 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 0);
+    int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+    return vreinterpretq_m128i_s32(vcombine_s32(a22, a01));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_3332(__m128i a) {
+    int32x2_t a32 = vget_high_s32(vreinterpretq_s32_m128i(a));
+    int32x2_t a33 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 1);
+    return vreinterpretq_m128i_s32(vcombine_s32(a32, a33));
+}
+
+// Shuffle packed 8-bit integers in a according to shuffle control mask in the
+// corresponding 8-bit element of b, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_shuffle_epi8&expand=5146
+FORCE_INLINE __m128i _mm_shuffle_epi8(__m128i a, __m128i b) {
+    int8x16_t tbl = vreinterpretq_s8_m128i(a);               // input a
+    uint8x16_t idx = vreinterpretq_u8_m128i(b);              // input b
+    uint8x16_t idx_masked = vandq_u8(idx, vdupq_n_u8(0x8F)); // avoid using meaningless bits
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s8(vqtbl1q_s8(tbl, idx_masked));
+#elif defined(__GNUC__)
+
+    int8x16_t ret;
+    // %e and %f represent the even and odd D registers
+    // respectively.
+    __asm__("    vtbl.8  %e[ret], {%e[tbl], %f[tbl]}, %e[idx]\n"
+            "    vtbl.8  %f[ret], {%e[tbl], %f[tbl]}, %f[idx]\n"
+            : [ret] "=&w"(ret)
+            : [tbl] "w"(tbl), [idx] "w"(idx_masked));
+    return vreinterpretq_m128i_s8(ret);
+#else
+    // use this line if testing on aarch64
+    int8x8x2_t a_split = {vget_low_s8(tbl), vget_high_s8(tbl)};
+    return vreinterpretq_m128i_s8(vcombine_s8(vtbl2_s8(a_split, vget_low_u8(idx_masked)),
+                                              vtbl2_s8(a_split, vget_high_u8(idx_masked))));
+#endif
+}
+
+#if 0 /* C version */
+FORCE_INLINE __m128i _mm_shuffle_epi32_default(__m128i a,
+                                               __constrange(0, 255) int imm) {
+    __m128i ret;
+    ret[0] = a[imm & 0x3];
+    ret[1] = a[(imm >> 2) & 0x3];
+    ret[2] = a[(imm >> 4) & 0x03];
+    ret[3] = a[(imm >> 6) & 0x03];
+    return ret;
+}
+#endif
+#define _mm_shuffle_epi32_default(a, imm)                                                         \
+    __extension__({                                                                               \
+        int32x4_t ret;                                                                            \
+        ret = vmovq_n_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm)&0x3));                 \
+        ret = vsetq_lane_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 2) & 0x3), ret, \
+                             1);                                                                  \
+        ret = vsetq_lane_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 4) & 0x3), ret, \
+                             2);                                                                  \
+        ret = vsetq_lane_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 6) & 0x3), ret, \
+                             3);                                                                  \
+        vreinterpretq_m128i_s32(ret);                                                             \
+    })
+
+// FORCE_INLINE __m128i _mm_shuffle_epi32_splat(__m128i a, __constrange(0,255)
+// int imm)
+#if defined(__aarch64__)
+#define _mm_shuffle_epi32_splat(a, imm) \
+    __extension__({ vreinterpretq_m128i_s32(vdupq_laneq_s32(vreinterpretq_s32_m128i(a), (imm))); })
+#else
+#define _mm_shuffle_epi32_splat(a, imm)                                                          \
+    __extension__({                                                                              \
+        vreinterpretq_m128i_s32(vdupq_n_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm)))); \
+    })
+#endif
+
+// Shuffles the 4 signed or unsigned 32-bit integers in a as specified by imm.
+// https://msdn.microsoft.com/en-us/library/56f67xbk%28v=vs.90%29.aspx
+// FORCE_INLINE __m128i _mm_shuffle_epi32(__m128i a, __constrange(0,255) int
+// imm)
+#if defined(__clang__)
+#define _mm_shuffle_epi32(a, imm)                                                                \
+    __extension__({                                                                              \
+        int32x4_t _input = vreinterpretq_s32_m128i(a);                                           \
+        int32x4_t _shuf = __builtin_shufflevector(_input, _input, (imm)&0x3, ((imm) >> 2) & 0x3, \
+                                                  ((imm) >> 4) & 0x3, ((imm) >> 6) & 0x3);       \
+        vreinterpretq_m128i_s32(_shuf);                                                          \
+    })
+#else // generic
+#define _mm_shuffle_epi32(a, imm)                        \
+    __extension__({                                      \
+        __m128i ret;                                     \
+        switch (imm) {                                   \
+        case _MM_SHUFFLE(1, 0, 3, 2):                    \
+            ret = _mm_shuffle_epi_1032((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(2, 3, 0, 1):                    \
+            ret = _mm_shuffle_epi_2301((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(0, 3, 2, 1):                    \
+            ret = _mm_shuffle_epi_0321((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(2, 1, 0, 3):                    \
+            ret = _mm_shuffle_epi_2103((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(1, 0, 1, 0):                    \
+            ret = _mm_shuffle_epi_1010((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(1, 0, 0, 1):                    \
+            ret = _mm_shuffle_epi_1001((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(0, 1, 0, 1):                    \
+            ret = _mm_shuffle_epi_0101((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(2, 2, 1, 1):                    \
+            ret = _mm_shuffle_epi_2211((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(0, 1, 2, 2):                    \
+            ret = _mm_shuffle_epi_0122((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(3, 3, 3, 2):                    \
+            ret = _mm_shuffle_epi_3332((a));             \
+            break;                                       \
+        case _MM_SHUFFLE(0, 0, 0, 0):                    \
+            ret = _mm_shuffle_epi32_splat((a), 0);       \
+            break;                                       \
+        case _MM_SHUFFLE(1, 1, 1, 1):                    \
+            ret = _mm_shuffle_epi32_splat((a), 1);       \
+            break;                                       \
+        case _MM_SHUFFLE(2, 2, 2, 2):                    \
+            ret = _mm_shuffle_epi32_splat((a), 2);       \
+            break;                                       \
+        case _MM_SHUFFLE(3, 3, 3, 3):                    \
+            ret = _mm_shuffle_epi32_splat((a), 3);       \
+            break;                                       \
+        default:                                         \
+            ret = _mm_shuffle_epi32_default((a), (imm)); \
+            break;                                       \
+        }                                                \
+        ret;                                             \
+    })
+#endif // not clang
+
+// Shuffles the lower 4 signed or unsigned 16-bit integers in a as specified
+// by imm.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/y41dkk37(v=vs.100)
+// FORCE_INLINE __m128i _mm_shufflelo_epi16_function(__m128i a,
+// __constrange(0,255) int imm)
+
+#define _mm_shufflelo_epi16_function(a, imm)                                      \
+    __extension__({                                                               \
+        int16x8_t ret = vreinterpretq_s16_m128i(a);                               \
+        int16x4_t lowBits = vget_low_s16(ret);                                    \
+        ret = vsetq_lane_s16(vget_lane_s16(lowBits, (imm)&0x3), ret, 0);          \
+        ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 2) & 0x3), ret, 1); \
+        ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 4) & 0x3), ret, 2); \
+        ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 6) & 0x3), ret, 3); \
+        vreinterpretq_m128i_s16(ret);                                             \
+    })
+
+// FORCE_INLINE __m128i _mm_shufflelo_epi16(__m128i a, __constrange(0,255) int
+// imm)
+#if defined(__clang__)
+#define _mm_shufflelo_epi16(a, imm)                                                              \
+    __extension__({                                                                              \
+        int16x8_t _input = vreinterpretq_s16_m128i(a);                                           \
+        int16x8_t _shuf =                                                                        \
+                __builtin_shufflevector(_input, _input, ((imm)&0x3), (((imm) >> 2) & 0x3),       \
+                                        (((imm) >> 4) & 0x3), (((imm) >> 6) & 0x3), 4, 5, 6, 7); \
+        vreinterpretq_m128i_s16(_shuf);                                                          \
+    })
+#else // generic
+#define _mm_shufflelo_epi16(a, imm) _mm_shufflelo_epi16_function((a), (imm))
+#endif
+
+// Shuffles the upper 4 signed or unsigned 16-bit integers in a as specified
+// by imm.
+// https://msdn.microsoft.com/en-us/library/13ywktbs(v=vs.100).aspx
+// FORCE_INLINE __m128i _mm_shufflehi_epi16_function(__m128i a,
+// __constrange(0,255) int imm)
+#define _mm_shufflehi_epi16_function(a, imm)                                       \
+    __extension__({                                                                \
+        int16x8_t ret = vreinterpretq_s16_m128i(a);                                \
+        int16x4_t highBits = vget_high_s16(ret);                                   \
+        ret = vsetq_lane_s16(vget_lane_s16(highBits, (imm)&0x3), ret, 4);          \
+        ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 2) & 0x3), ret, 5); \
+        ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 4) & 0x3), ret, 6); \
+        ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 6) & 0x3), ret, 7); \
+        vreinterpretq_m128i_s16(ret);                                              \
+    })
+
+// FORCE_INLINE __m128i _mm_shufflehi_epi16(__m128i a, __constrange(0,255) int
+// imm)
+#if defined(__clang__)
+#define _mm_shufflehi_epi16(a, imm)                                                    \
+    __extension__({                                                                    \
+        int16x8_t _input = vreinterpretq_s16_m128i(a);                                 \
+        int16x8_t _shuf = __builtin_shufflevector(                                     \
+                _input, _input, 0, 1, 2, 3, ((imm)&0x3) + 4, (((imm) >> 2) & 0x3) + 4, \
+                (((imm) >> 4) & 0x3) + 4, (((imm) >> 6) & 0x3) + 4);                   \
+        vreinterpretq_m128i_s16(_shuf);                                                \
+    })
+#else // generic
+#define _mm_shufflehi_epi16(a, imm) _mm_shufflehi_epi16_function((a), (imm))
+#endif
+
+// Blend packed 16-bit integers from a and b using control mask imm8, and store
+// the results in dst.
+//
+//   FOR j := 0 to 7
+//       i := j*16
+//       IF imm8[j]
+//           dst[i+15:i] := b[i+15:i]
+//       ELSE
+//           dst[i+15:i] := a[i+15:i]
+//       FI
+//   ENDFOR
+// FORCE_INLINE __m128i _mm_blend_epi16(__m128i a, __m128i b,
+// __constrange(0,255) int imm)
+#define _mm_blend_epi16(a, b, imm)                                                           \
+    __extension__({                                                                          \
+        const uint16_t _mask[8] = {                                                          \
+                ((imm) & (1 << 0)) ? 0xFFFF : 0x0000, ((imm) & (1 << 1)) ? 0xFFFF : 0x0000,  \
+                ((imm) & (1 << 2)) ? 0xFFFF : 0x0000, ((imm) & (1 << 3)) ? 0xFFFF : 0x0000,  \
+                ((imm) & (1 << 4)) ? 0xFFFF : 0x0000, ((imm) & (1 << 5)) ? 0xFFFF : 0x0000,  \
+                ((imm) & (1 << 6)) ? 0xFFFF : 0x0000, ((imm) & (1 << 7)) ? 0xFFFF : 0x0000}; \
+        uint16x8_t _mask_vec = vld1q_u16(_mask);                                             \
+        uint16x8_t _a = vreinterpretq_u16_m128i(a);                                          \
+        uint16x8_t _b = vreinterpretq_u16_m128i(b);                                          \
+        vreinterpretq_m128i_u16(vbslq_u16(_mask_vec, _b, _a));                               \
+    })
+
+// Blend packed 8-bit integers from a and b using mask, and store the results in
+// dst.
+//
+//   FOR j := 0 to 15
+//       i := j*8
+//       IF mask[i+7]
+//           dst[i+7:i] := b[i+7:i]
+//       ELSE
+//           dst[i+7:i] := a[i+7:i]
+//       FI
+//   ENDFOR
+FORCE_INLINE __m128i _mm_blendv_epi8(__m128i _a, __m128i _b, __m128i _mask) {
+    // Use a signed shift right to create a mask with the sign bit
+    uint8x16_t mask = vreinterpretq_u8_s8(vshrq_n_s8(vreinterpretq_s8_m128i(_mask), 7));
+    uint8x16_t a = vreinterpretq_u8_m128i(_a);
+    uint8x16_t b = vreinterpretq_u8_m128i(_b);
+    return vreinterpretq_m128i_u8(vbslq_u8(mask, b, a));
+}
+
+/////////////////////////////////////
+// Shifts
+/////////////////////////////////////
+
+// Shifts the 4 signed 32-bit integers in a right by count bits while shifting
+// in the sign bit.
+//
+//   r0 := a0 >> count
+//   r1 := a1 >> count
+//   r2 := a2 >> count
+//   r3 := a3 >> count immediate
+FORCE_INLINE __m128i _mm_srai_epi32(__m128i a, int count) {
+    return (__m128i)vshlq_s32((int32x4_t)a, vdupq_n_s32(-count));
+}
+
+// Shifts the 8 signed 16-bit integers in a right by count bits while shifting
+// in the sign bit.
+//
+//   r0 := a0 >> count
+//   r1 := a1 >> count
+//   ...
+//   r7 := a7 >> count
+FORCE_INLINE __m128i _mm_srai_epi16(__m128i a, int count) {
+    return (__m128i)vshlq_s16((int16x8_t)a, vdupq_n_s16(-count));
+}
+
+// Shifts the 8 signed or unsigned 16-bit integers in a left by count bits while
+// shifting in zeros.
+//
+//   r0 := a0 << count
+//   r1 := a1 << count
+//   ...
+//   r7 := a7 << count
+//
+// https://msdn.microsoft.com/en-us/library/es73bcsy(v=vs.90).aspx
+#define _mm_slli_epi16(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 31) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_s16(vshlq_n_s16(vreinterpretq_s16_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shifts the 4 signed or unsigned 32-bit integers in a left by count bits while
+// shifting in zeros. :
+// https://msdn.microsoft.com/en-us/library/z2k3bbtb%28v=vs.90%29.aspx
+// FORCE_INLINE __m128i _mm_slli_epi32(__m128i a, __constrange(0,255) int imm)
+#define _mm_slli_epi32(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 31) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_s32(vshlq_n_s32(vreinterpretq_s32_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shift packed 64-bit integers in a left by imm8 while shifting in zeros, and
+// store the results in dst.
+#define _mm_slli_epi64(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 63) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_s64(vshlq_n_s64(vreinterpretq_s64_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shifts the 8 signed or unsigned 16-bit integers in a right by count bits
+// while shifting in zeros.
+//
+//   r0 := srl(a0, count)
+//   r1 := srl(a1, count)
+//   ...
+//   r7 := srl(a7, count)
+//
+// https://msdn.microsoft.com/en-us/library/6tcwd38t(v=vs.90).aspx
+#define _mm_srli_epi16(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 31) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_u16(vshrq_n_u16(vreinterpretq_u16_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shifts the 4 signed or unsigned 32-bit integers in a right by count bits
+// while shifting in zeros.
+// https://msdn.microsoft.com/en-us/library/w486zcfa(v=vs.100).aspx FORCE_INLINE
+// __m128i _mm_srli_epi32(__m128i a, __constrange(0,255) int imm)
+#define _mm_srli_epi32(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 31) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_u32(vshrq_n_u32(vreinterpretq_u32_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shift packed 64-bit integers in a right by imm8 while shifting in zeros, and
+// store the results in dst.
+#define _mm_srli_epi64(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 63) {                                                           \
+            ret = _mm_setzero_si128();                                                     \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_u64(vshrq_n_u64(vreinterpretq_u64_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shifts the 4 signed 32 - bit integers in a right by count bits while shifting
+// in the sign bit.
+// https://msdn.microsoft.com/en-us/library/z1939387(v=vs.100).aspx
+// FORCE_INLINE __m128i _mm_srai_epi32(__m128i a, __constrange(0,255) int imm)
+#define _mm_srai_epi32(a, imm)                                                             \
+    __extension__({                                                                        \
+        __m128i ret;                                                                       \
+        if ((imm) <= 0) {                                                                  \
+            ret = a;                                                                       \
+        } else if ((imm) > 31) {                                                           \
+            ret = vreinterpretq_m128i_s32(vshrq_n_s32(vreinterpretq_s32_m128i(a), 16));    \
+            ret = vreinterpretq_m128i_s32(vshrq_n_s32(vreinterpretq_s32_m128i(ret), 16));  \
+        } else {                                                                           \
+            ret = vreinterpretq_m128i_s32(vshrq_n_s32(vreinterpretq_s32_m128i(a), (imm))); \
+        }                                                                                  \
+        ret;                                                                               \
+    })
+
+// Shifts the 128 - bit value in a right by imm bytes while shifting in
+// zeros.imm must be an immediate.
+//
+//   r := srl(a, imm*8)
+//
+// https://msdn.microsoft.com/en-us/library/305w28yz(v=vs.100).aspx
+// FORCE_INLINE _mm_srli_si128(__m128i a, __constrange(0,255) int imm)
+#define _mm_srli_si128(a, imm)                                                  \
+    __extension__({                                                             \
+        __m128i ret;                                                            \
+        if ((imm) <= 0) {                                                       \
+            ret = a;                                                            \
+        } else if ((imm) > 15) {                                                \
+            ret = _mm_setzero_si128();                                          \
+        } else {                                                                \
+            ret = vreinterpretq_m128i_s8(                                       \
+                    vextq_s8(vreinterpretq_s8_m128i(a), vdupq_n_s8(0), (imm))); \
+        }                                                                       \
+        ret;                                                                    \
+    })
+
+// Shifts the 128-bit value in a left by imm bytes while shifting in zeros. imm
+// must be an immediate.
+//
+//   r := a << (imm * 8)
+//
+// https://msdn.microsoft.com/en-us/library/34d3k2kt(v=vs.100).aspx
+// FORCE_INLINE __m128i _mm_slli_si128(__m128i a, __constrange(0,255) int imm)
+#define _mm_slli_si128(a, imm)                                                       \
+    __extension__({                                                                  \
+        __m128i ret;                                                                 \
+        if ((imm) <= 0) {                                                            \
+            ret = a;                                                                 \
+        } else if ((imm) > 15) {                                                     \
+            ret = _mm_setzero_si128();                                               \
+        } else {                                                                     \
+            ret = vreinterpretq_m128i_s8(                                            \
+                    vextq_s8(vdupq_n_s8(0), vreinterpretq_s8_m128i(a), 16 - (imm))); \
+        }                                                                            \
+        ret;                                                                         \
+    })
+
+// NEON does not provide a version of this function.
+// Creates a 16-bit mask from the most significant bits of the 16 signed or
+// unsigned 8-bit integers in a and zero extends the upper bits.
+// https://msdn.microsoft.com/en-us/library/vstudio/s090c8fk(v=vs.100).aspx
+FORCE_INLINE int _mm_movemask_epi8(__m128i a) {
+    // Use increasingly wide shifts+adds to collect the sign bits
+    // together.
+    // Since the widening shifts would be rather confusing to follow in little
+    // endian, everything will be illustrated in big endian order instead. This
+    // has a different result - the bits would actually be reversed on a big
+    // endian machine.
+
+    // Starting input (only half the elements are shown):
+    // 89 ff 1d c0 00 10 99 33
+    uint8x16_t input = vreinterpretq_u8_m128i(a);
+
+    // Shift out everything but the sign bits with an unsigned shift right.
+    //
+    // Bytes of the vector::
+    // 89 ff 1d c0 00 10 99 33
+    // \  \  \  \  \  \  \  \    high_bits = (uint16x4_t)(input >> 7)
+    //  |  |  |  |  |  |  |  |
+    // 01 01 00 01 00 00 01 00
+    //
+    // Bits of first important lane(s):
+    // 10001001 (89)
+    // \______
+    //        |
+    // 00000001 (01)
+    uint16x8_t high_bits = vreinterpretq_u16_u8(vshrq_n_u8(input, 7));
+
+    // Merge the even lanes together with a 16-bit unsigned shift right + add.
+    // 'xx' represents garbage data which will be ignored in the final result.
+    // In the important bytes, the add functions like a binary OR.
+    //
+    // 01 01 00 01 00 00 01 00
+    //  \_ |  \_ |  \_ |  \_ |   paired16 = (uint32x4_t)(input + (input >> 7))
+    //    \|    \|    \|    \|
+    // xx 03 xx 01 xx 00 xx 02
+    //
+    // 00000001 00000001 (01 01)
+    //        \_______ |
+    //                \|
+    // xxxxxxxx xxxxxx11 (xx 03)
+    uint32x4_t paired16 = vreinterpretq_u32_u16(vsraq_n_u16(high_bits, high_bits, 7));
+
+    // Repeat with a wider 32-bit shift + add.
+    // xx 03 xx 01 xx 00 xx 02
+    //     \____ |     \____ |  paired32 = (uint64x1_t)(paired16 + (paired16 >>
+    //     14))
+    //          \|          \|
+    // xx xx xx 0d xx xx xx 02
+    //
+    // 00000011 00000001 (03 01)
+    //        \\_____ ||
+    //         '----.\||
+    // xxxxxxxx xxxx1101 (xx 0d)
+    uint64x2_t paired32 = vreinterpretq_u64_u32(vsraq_n_u32(paired16, paired16, 14));
+
+    // Last, an even wider 64-bit shift + add to get our result in the low 8 bit
+    // lanes. xx xx xx 0d xx xx xx 02
+    //            \_________ |   paired64 = (uint8x8_t)(paired32 + (paired32 >>
+    //            28))
+    //                      \|
+    // xx xx xx xx xx xx xx d2
+    //
+    // 00001101 00000010 (0d 02)
+    //     \   \___ |  |
+    //      '---.  \|  |
+    // xxxxxxxx 11010010 (xx d2)
+    uint8x16_t paired64 = vreinterpretq_u8_u64(vsraq_n_u64(paired32, paired32, 28));
+
+    // Extract the low 8 bits from each 64-bit lane with 2 8-bit extracts.
+    // xx xx xx xx xx xx xx d2
+    //                      ||  return paired64[0]
+    //                      d2
+    // Note: Little endian would return the correct value 4b (01001011) instead.
+    return vgetq_lane_u8(paired64, 0) | ((int)vgetq_lane_u8(paired64, 8) << 8); //NOLINT
+}
+
+// NEON does not provide this method
+// Creates a 4-bit mask from the most significant bits of the four
+// single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/4490ys29(v=vs.100).aspx
+FORCE_INLINE int _mm_movemask_ps(__m128 a) {
+    // Uses the exact same method as _mm_movemask_epi8, see that for details
+    uint32x4_t input = vreinterpretq_u32_m128(a);
+    // Shift out everything but the sign bits with a 32-bit unsigned shift right.
+    uint64x2_t high_bits = vreinterpretq_u64_u32(vshrq_n_u32(input, 31));
+    // Merge the two pairs together with a 64-bit unsigned shift right + add.
+    uint8x16_t paired = vreinterpretq_u8_u64(vsraq_n_u64(high_bits, high_bits, 31));
+    // Extract the result.
+    return vgetq_lane_u8(paired, 0) | (vgetq_lane_u8(paired, 8) << 2);
+}
+
+// Compute the bitwise AND of 128 bits (representing integer data) in a and
+// mask, and return 1 if the result is zero, otherwise return 0.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_test_all_zeros&expand=5871
+FORCE_INLINE int _mm_test_all_zeros(__m128i a, __m128i mask) {
+    int64x2_t a_and_mask = vandq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(mask));
+    return (vgetq_lane_s64(a_and_mask, 0) | vgetq_lane_s64(a_and_mask, 1)) ? 0 : 1;
+}
+
+// ******************************************
+// Math operations
+// ******************************************
+
+// Subtracts the four single-precision, floating-point values of a and b.
+//
+//   r0 := a0 - b0
+//   r1 := a1 - b1
+//   r2 := a2 - b2
+//   r3 := a3 - b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1zad2k61(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sub_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_f32(vsubq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Subtract 2 packed 64-bit integers in b from 2 packed 64-bit integers in a,
+// and store the results in dst.
+//    r0 := a0 - b0
+//    r1 := a1 - b1
+FORCE_INLINE __m128i _mm_sub_epi64(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s64(
+            vsubq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+}
+
+// Subtracts the 4 signed or unsigned 32-bit integers of b from the 4 signed or
+// unsigned 32-bit integers of a.
+//
+//   r0 := a0 - b0
+//   r1 := a1 - b1
+//   r2 := a2 - b2
+//   r3 := a3 - b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/fhh866h0(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_sub_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vsubq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+FORCE_INLINE __m128i _mm_sub_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vsubq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+FORCE_INLINE __m128i _mm_sub_epi8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s8(vsubq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Subtracts the 8 unsigned 16-bit integers of bfrom the 8 unsigned 16-bit
+// integers of a and saturates..
+// https://technet.microsoft.com/en-us/subscriptions/index/f44y0s19(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_subs_epu16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u16(
+            vqsubq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Subtracts the 16 unsigned 8-bit integers of b from the 16 unsigned 8-bit
+// integers of a and saturates.
+//
+//   r0 := UnsignedSaturate(a0 - b0)
+//   r1 := UnsignedSaturate(a1 - b1)
+//   ...
+//   r15 := UnsignedSaturate(a15 - b15)
+//
+// https://technet.microsoft.com/en-us/subscriptions/yadkxc18(v=vs.90)
+FORCE_INLINE __m128i _mm_subs_epu8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vqsubq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Subtracts the 8 signed 16-bit integers of b from the 8 signed 16-bit integers
+// of a and saturates.
+//
+//   r0 := SignedSaturate(a0 - b0)
+//   r1 := SignedSaturate(a1 - b1)
+//   ...
+//   r7 := SignedSaturate(a7 - b7)
+FORCE_INLINE __m128i _mm_subs_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vqsubq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+FORCE_INLINE __m128i _mm_adds_epu16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u16(
+            vqaddq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Negate packed 8-bit integers in a when the corresponding signed
+// 8-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+//   for i in 0..15
+//     if b[i] < 0
+//       r[i] := -a[i]
+//     else if b[i] == 0
+//       r[i] := 0
+//     else
+//       r[i] := a[i]
+//     fi
+//   done
+FORCE_INLINE __m128i _mm_sign_epi8(__m128i _a, __m128i _b) {
+    int8x16_t a = vreinterpretq_s8_m128i(_a);
+    int8x16_t b = vreinterpretq_s8_m128i(_b);
+
+    int8x16_t zero = vdupq_n_s8(0);
+    // signed shift right: faster than vclt
+    // (b < 0) ? 0xFF : 0
+    uint8x16_t ltMask = vreinterpretq_u8_s8(vshrq_n_s8(b, 7));
+    // (b == 0) ? 0xFF : 0
+    int8x16_t zeroMask = vreinterpretq_s8_u8(vceqq_s8(b, zero));
+    // -a
+    int8x16_t neg = vnegq_s8(a);
+    // bitwise select either a or neg based on ltMask
+    int8x16_t masked = vbslq_s8(ltMask, a, neg);
+    // res = masked & (~zeroMask)
+    int8x16_t res = vbicq_s8(masked, zeroMask);
+    return vreinterpretq_m128i_s8(res);
+}
+
+// Negate packed 16-bit integers in a when the corresponding signed
+// 16-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+//   for i in 0..7
+//     if b[i] < 0
+//       r[i] := -a[i]
+//     else if b[i] == 0
+//       r[i] := 0
+//     else
+//       r[i] := a[i]
+//     fi
+//   done
+FORCE_INLINE __m128i _mm_sign_epi16(__m128i _a, __m128i _b) {
+    int16x8_t a = vreinterpretq_s16_m128i(_a);
+    int16x8_t b = vreinterpretq_s16_m128i(_b);
+
+    int16x8_t zero = vdupq_n_s16(0);
+    // signed shift right: faster than vclt
+    // (b < 0) ? 0xFFFF : 0
+    uint16x8_t ltMask = vreinterpretq_u16_s16(vshrq_n_s16(b, 15));
+    // (b == 0) ? 0xFFFF : 0
+    int16x8_t zeroMask = vreinterpretq_s16_u16(vceqq_s16(b, zero));
+    // -a
+    int16x8_t neg = vnegq_s16(a);
+    // bitwise select either a or neg based on ltMask
+    int16x8_t masked = vbslq_s16(ltMask, a, neg);
+    // res = masked & (~zeroMask)
+    int16x8_t res = vbicq_s16(masked, zeroMask);
+    return vreinterpretq_m128i_s16(res);
+}
+
+// Negate packed 32-bit integers in a when the corresponding signed
+// 32-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+//   for i in 0..3
+//     if b[i] < 0
+//       r[i] := -a[i]
+//     else if b[i] == 0
+//       r[i] := 0
+//     else
+//       r[i] := a[i]
+//     fi
+//   done
+FORCE_INLINE __m128i _mm_sign_epi32(__m128i _a, __m128i _b) {
+    int32x4_t a = vreinterpretq_s32_m128i(_a);
+    int32x4_t b = vreinterpretq_s32_m128i(_b);
+
+    int32x4_t zero = vdupq_n_s32(0);
+    // signed shift right: faster than vclt
+    // (b < 0) ? 0xFFFFFFFF : 0
+    uint32x4_t ltMask = vreinterpretq_u32_s32(vshrq_n_s32(b, 31));
+    // (b == 0) ? 0xFFFFFFFF : 0
+    int32x4_t zeroMask = vreinterpretq_s32_u32(vceqq_s32(b, zero));
+    // neg = -a
+    int32x4_t neg = vnegq_s32(a);
+    // bitwise select either a or neg based on ltMask
+    int32x4_t masked = vbslq_s32(ltMask, a, neg);
+    // res = masked & (~zeroMask)
+    int32x4_t res = vbicq_s32(masked, zeroMask);
+    return vreinterpretq_m128i_s32(res);
+}
+
+// Adds the four single-precision, floating-point values of a and b.
+//
+//   r0 := a0 + b0
+//   r1 := a1 + b1
+//   r2 := a2 + b2
+//   r3 := a3 + b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/c9848chc(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_add_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_f32(vaddq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// adds the scalar single-precision floating point values of a and b.
+// https://msdn.microsoft.com/en-us/library/be94x2y6(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_add_ss(__m128 a, __m128 b) {
+    float32_t b0 = vgetq_lane_f32(vreinterpretq_f32_m128(b), 0);
+    float32x4_t value = vsetq_lane_f32(b0, vdupq_n_f32(0), 0);
+    // the upper values in the result must be the remnants of <a>.
+    return vreinterpretq_m128_f32(vaddq_f32(a, value));
+}
+
+// Adds the 4 signed or unsigned 64-bit integers in a to the 4 signed or
+// unsigned 32-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/vstudio/09xs4fkk(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi64(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s64(
+            vaddq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+}
+
+// Adds the 4 signed or unsigned 32-bit integers in a to the 4 signed or
+// unsigned 32-bit integers in b.
+//
+//   r0 := a0 + b0
+//   r1 := a1 + b1
+//   r2 := a2 + b2
+//   r3 := a3 + b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/09xs4fkk(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vaddq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Adds the 8 signed or unsigned 16-bit integers in a to the 8 signed or
+// unsigned 16-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/fceha5k4(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vaddq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Adds the 16 signed or unsigned 8-bit integers in a to the 16 signed or
+// unsigned 8-bit integers in b.
+// https://technet.microsoft.com/en-us/subscriptions/yc7tcyzs(v=vs.90)
+FORCE_INLINE __m128i _mm_add_epi8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s8(vaddq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Adds the 8 signed 16-bit integers in a to the 8 signed 16-bit integers in b
+// and saturates.
+//
+//   r0 := SignedSaturate(a0 + b0)
+//   r1 := SignedSaturate(a1 + b1)
+//   ...
+//   r7 := SignedSaturate(a7 + b7)
+//
+// https://msdn.microsoft.com/en-us/library/1a306ef8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_adds_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vqaddq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Adds the 16 unsigned 8-bit integers in a to the 16 unsigned 8-bit integers in
+// b and saturates..
+// https://msdn.microsoft.com/en-us/library/9hahyddy(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_adds_epu8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vqaddq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Multiplies the 8 signed or unsigned 16-bit integers from a by the 8 signed or
+// unsigned 16-bit integers from b.
+//
+//   r0 := (a0 * b0)[15:0]
+//   r1 := (a1 * b1)[15:0]
+//   ...
+//   r7 := (a7 * b7)[15:0]
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/9ks1472s(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mullo_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vmulq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Multiplies the 4 signed or unsigned 32-bit integers from a by the 4 signed or
+// unsigned 32-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/vstudio/bb531409(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mullo_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vmulq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Multiplies the four single-precision, floating-point values of a and b.
+//
+//   r0 := a0 * b0
+//   r1 := a1 * b1
+//   r2 := a2 * b2
+//   r3 := a3 * b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/22kbk6t9(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_mul_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_f32(vmulq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Multiply the low unsigned 32-bit integers from each packed 64-bit element in
+// a and b, and store the unsigned 64-bit results in dst.
+//
+//   r0 :=  (a0 & 0xFFFFFFFF) * (b0 & 0xFFFFFFFF)
+//   r1 :=  (a2 & 0xFFFFFFFF) * (b2 & 0xFFFFFFFF)
+FORCE_INLINE __m128i _mm_mul_epu32(__m128i a, __m128i b) {
+    // vmull_u32 upcasts instead of masking, so we downcast.
+    uint32x2_t a_lo = vmovn_u64(vreinterpretq_u64_m128i(a));
+    uint32x2_t b_lo = vmovn_u64(vreinterpretq_u64_m128i(b));
+    return vreinterpretq_m128i_u64(vmull_u32(a_lo, b_lo));
+}
+
+// Multiply the low signed 32-bit integers from each packed 64-bit element in
+// a and b, and store the signed 64-bit results in dst.
+//
+//   r0 :=  (int64_t)(int32_t)a0 * (int64_t)(int32_t)b0
+//   r1 :=  (int64_t)(int32_t)a2 * (int64_t)(int32_t)b2
+FORCE_INLINE __m128i _mm_mul_epi32(__m128i a, __m128i b) {
+    // vmull_s32 upcasts instead of masking, so we downcast.
+    int32x2_t a_lo = vmovn_s64(vreinterpretq_s64_m128i(a));
+    int32x2_t b_lo = vmovn_s64(vreinterpretq_s64_m128i(b));
+    return vreinterpretq_m128i_s64(vmull_s32(a_lo, b_lo));
+}
+
+// Multiplies the 8 signed 16-bit integers from a by the 8 signed 16-bit
+// integers from b.
+//
+//   r0 := (a0 * b0) + (a1 * b1)
+//   r1 := (a2 * b2) + (a3 * b3)
+//   r2 := (a4 * b4) + (a5 * b5)
+//   r3 := (a6 * b6) + (a7 * b7)
+// https://msdn.microsoft.com/en-us/library/yht36sa6(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_madd_epi16(__m128i a, __m128i b) {
+    int32x4_t low = vmull_s16(vget_low_s16(vreinterpretq_s16_m128i(a)),
+                              vget_low_s16(vreinterpretq_s16_m128i(b)));
+    int32x4_t high = vmull_s16(vget_high_s16(vreinterpretq_s16_m128i(a)),
+                               vget_high_s16(vreinterpretq_s16_m128i(b)));
+
+    int32x2_t low_sum = vpadd_s32(vget_low_s32(low), vget_high_s32(low));
+    int32x2_t high_sum = vpadd_s32(vget_low_s32(high), vget_high_s32(high));
+
+    return vreinterpretq_m128i_s32(vcombine_s32(low_sum, high_sum));
+}
+
+// Multiply packed signed 16-bit integers in a and b, producing intermediate
+// signed 32-bit integers. Shift right by 15 bits while rounding up, and store
+// the packed 16-bit integers in dst.
+//
+//   r0 := Round(((int32_t)a0 * (int32_t)b0) >> 15)
+//   r1 := Round(((int32_t)a1 * (int32_t)b1) >> 15)
+//   r2 := Round(((int32_t)a2 * (int32_t)b2) >> 15)
+//   ...
+//   r7 := Round(((int32_t)a7 * (int32_t)b7) >> 15)
+FORCE_INLINE __m128i _mm_mulhrs_epi16(__m128i a, __m128i b) {
+    // Has issues due to saturation
+    // return vreinterpretq_m128i_s16(vqrdmulhq_s16(a, b));
+
+    // Multiply
+    int32x4_t mul_lo = vmull_s16(vget_low_s16(vreinterpretq_s16_m128i(a)),
+                                 vget_low_s16(vreinterpretq_s16_m128i(b)));
+    int32x4_t mul_hi = vmull_s16(vget_high_s16(vreinterpretq_s16_m128i(a)),
+                                 vget_high_s16(vreinterpretq_s16_m128i(b)));
+
+    // Rounding narrowing shift right
+    // narrow = (int16_t)((mul + 16384) >> 15);
+    int16x4_t narrow_lo = vrshrn_n_s32(mul_lo, 15);
+    int16x4_t narrow_hi = vrshrn_n_s32(mul_hi, 15);
+
+    // Join together
+    return vreinterpretq_m128i_s16(vcombine_s16(narrow_lo, narrow_hi));
+}
+
+// Vertically multiply each unsigned 8-bit integer from a with the corresponding
+// signed 8-bit integer from b, producing intermediate signed 16-bit integers.
+// Horizontally add adjacent pairs of intermediate signed 16-bit integers,
+// and pack the saturated results in dst.
+//
+//   FOR j := 0 to 7
+//      i := j*16
+//      dst[i+15:i] := Saturate_To_Int16( a[i+15:i+8]*b[i+15:i+8] +
+//      a[i+7:i]*b[i+7:i] )
+//   ENDFOR
+FORCE_INLINE __m128i _mm_maddubs_epi16(__m128i _a, __m128i _b) {
+    // This would be much simpler if x86 would choose to zero extend OR sign
+    // extend, not both. This could probably be optimized better.
+    uint16x8_t a = vreinterpretq_u16_m128i(_a);
+    int16x8_t b = vreinterpretq_s16_m128i(_b);
+
+    // Zero extend a
+    int16x8_t a_odd = vreinterpretq_s16_u16(vshrq_n_u16(a, 8));
+    int16x8_t a_even = vreinterpretq_s16_u16(vbicq_u16(a, vdupq_n_u16(0xff00)));
+
+    // Sign extend by shifting left then shifting right.
+    int16x8_t b_even = vshrq_n_s16(vshlq_n_s16(b, 8), 8);
+    int16x8_t b_odd = vshrq_n_s16(b, 8);
+
+    // multiply
+    int16x8_t prod1 = vmulq_s16(a_even, b_even);
+    int16x8_t prod2 = vmulq_s16(a_odd, b_odd);
+
+    // saturated add
+    return vreinterpretq_m128i_s16(vqaddq_s16(prod1, prod2));
+}
+
+// Computes the absolute difference of the 16 unsigned 8-bit integers from a
+// and the 16 unsigned 8-bit integers from b.
+//
+// Return Value
+// Sums the upper 8 differences and lower 8 differences and packs the
+// resulting 2 unsigned 16-bit integers into the upper and lower 64-bit
+// elements.
+//
+//   r0 := abs(a0 - b0) + abs(a1 - b1) +...+ abs(a7 - b7)
+//   r1 := 0x0
+//   r2 := 0x0
+//   r3 := 0x0
+//   r4 := abs(a8 - b8) + abs(a9 - b9) +...+ abs(a15 - b15)
+//   r5 := 0x0
+//   r6 := 0x0
+//   r7 := 0x0
+FORCE_INLINE __m128i _mm_sad_epu8(__m128i a, __m128i b) {
+    uint16x8_t t = vpaddlq_u8(vabdq_u8((uint8x16_t)a, (uint8x16_t)b));
+    uint16_t r0 = t[0] + t[1] + t[2] + t[3];
+    uint16_t r4 = t[4] + t[5] + t[6] + t[7];
+    uint16x8_t r = vsetq_lane_u16(r0, vdupq_n_u16(0), 0);
+    return (__m128i)vsetq_lane_u16(r4, r, 4);
+}
+
+// Divides the four single-precision, floating-point values of a and b.
+//
+//   r0 := a0 / b0
+//   r1 := a1 / b1
+//   r2 := a2 / b2
+//   r3 := a3 / b3
+//
+// https://msdn.microsoft.com/en-us/library/edaw8147(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_div_ps(__m128 a, __m128 b) {
+    float32x4_t recip0 = vrecpeq_f32(vreinterpretq_f32_m128(b));
+    float32x4_t recip1 = vmulq_f32(recip0, vrecpsq_f32(recip0, vreinterpretq_f32_m128(b)));
+    return vreinterpretq_m128_f32(vmulq_f32(vreinterpretq_f32_m128(a), recip1));
+}
+
+// Divides the scalar single-precision floating point value of a by b.
+// https://msdn.microsoft.com/en-us/library/4y73xa49(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_div_ss(__m128 a, __m128 b) {
+    float32_t value = vgetq_lane_f32(vreinterpretq_f32_m128(_mm_div_ps(a, b)), 0);
+    return vreinterpretq_m128_f32(vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// This version does additional iterations to improve accuracy.  Between 1 and 4
+// recommended. Computes the approximations of reciprocals of the four
+// single-precision, floating-point values of a.
+// https://msdn.microsoft.com/en-us/library/vstudio/796k1tty(v=vs.100).aspx
+FORCE_INLINE __m128 recipq_newton(__m128 in, int n) {
+    int i;
+    float32x4_t recip = vrecpeq_f32(vreinterpretq_f32_m128(in));
+    for (i = 0; i < n; ++i) {
+        recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(in)));
+    }
+    return vreinterpretq_m128_f32(recip);
+}
+
+// Computes the approximations of reciprocals of the four single-precision,
+// floating-point values of a.
+// https://msdn.microsoft.com/en-us/library/vstudio/796k1tty(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_rcp_ps(__m128 in) {
+    float32x4_t recip = vrecpeq_f32(vreinterpretq_f32_m128(in));
+    recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(in)));
+    return vreinterpretq_m128_f32(recip);
+}
+
+// Computes the approximations of square roots of the four single-precision,
+// floating-point values of a. First computes reciprocal square roots and then
+// reciprocals of the four values.
+//
+//   r0 := sqrt(a0)
+//   r1 := sqrt(a1)
+//   r2 := sqrt(a2)
+//   r3 := sqrt(a3)
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/8z67bwwk(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sqrt_ps(__m128 in) {
+    float32x4_t recipsq = vrsqrteq_f32(vreinterpretq_f32_m128(in));
+    float32x4_t sq = vrecpeq_f32(recipsq);
+    // ??? use step versions of both sqrt and recip for better accuracy?
+    return vreinterpretq_m128_f32(sq);
+}
+
+// Computes the approximation of the square root of the scalar single-precision
+// floating point value of in.
+// https://msdn.microsoft.com/en-us/library/ahfsc22d(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sqrt_ss(__m128 in) {
+    float32_t value = vgetq_lane_f32(vreinterpretq_f32_m128(_mm_sqrt_ps(in)), 0);
+    return vreinterpretq_m128_f32(vsetq_lane_f32(value, vreinterpretq_f32_m128(in), 0));
+}
+
+// Computes the approximations of the reciprocal square roots of the four
+// single-precision floating point values of in.
+// https://msdn.microsoft.com/en-us/library/22hfsh53(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_rsqrt_ps(__m128 in) {
+    return vreinterpretq_m128_f32(vrsqrteq_f32(vreinterpretq_f32_m128(in)));
+}
+
+// Computes the maximums of the four single-precision, floating-point values of
+// a and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/ff5d607a(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_max_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_f32(vmaxq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Computes the minima of the four single-precision, floating-point values of a
+// and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/wh13kadz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_min_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_f32(vminq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Computes the maximum of the two lower scalar single-precision floating point
+// values of a and b.
+// https://msdn.microsoft.com/en-us/library/s6db5esz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_max_ss(__m128 a, __m128 b) {
+    float32_t value =
+            vgetq_lane_f32(vmaxq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)), 0);
+    return vreinterpretq_m128_f32(vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// Computes the minimum of the two lower scalar single-precision floating point
+// values of a and b.
+// https://msdn.microsoft.com/en-us/library/0a9y7xaa(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_min_ss(__m128 a, __m128 b) {
+    float32_t value =
+            vgetq_lane_f32(vminq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)), 0);
+    return vreinterpretq_m128_f32(vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// Computes the pairwise maxima of the 16 unsigned 8-bit integers from a and the
+// 16 unsigned 8-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/st6634za(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epu8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vmaxq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Computes the pairwise minima of the 16 unsigned 8-bit integers from a and the
+// 16 unsigned 8-bit integers from b.
+// https://msdn.microsoft.com/ko-kr/library/17k8cf58(v=vs.100).aspxx
+FORCE_INLINE __m128i _mm_min_epu8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vminq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Computes the pairwise minima of the 8 signed 16-bit integers from a and the 8
+// signed 16-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/vstudio/6te997ew(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_min_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vminq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Computes the pairwise maxima of the 8 signed 16-bit integers from a and the 8
+// signed 16-bit integers from b.
+// https://msdn.microsoft.com/en-us/LIBRary/3x060h7c(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(
+            vmaxq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// epi versions of min/max
+// Computes the pariwise maximums of the four signed 32-bit integer values of a
+// and b.
+//
+// A 128-bit parameter that can be defined with the following equations:
+//   r0 := (a0 > b0) ? a0 : b0
+//   r1 := (a1 > b1) ? a1 : b1
+//   r2 := (a2 > b2) ? a2 : b2
+//   r3 := (a3 > b3) ? a3 : b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/bb514055(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vmaxq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the pariwise minima of the four signed 32-bit integer values of a
+// and b.
+//
+// A 128-bit parameter that can be defined with the following equations:
+//   r0 := (a0 < b0) ? a0 : b0
+//   r1 := (a1 < b1) ? a1 : b1
+//   r2 := (a2 < b2) ? a2 : b2
+//   r3 := (a3 < b3) ? a3 : b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/bb531476(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_min_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s32(
+            vminq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Multiplies the 8 signed 16-bit integers from a by the 8 signed 16-bit
+// integers from b.
+//
+//   r0 := (a0 * b0)[31:16]
+//   r1 := (a1 * b1)[31:16]
+//   ...
+//   r7 := (a7 * b7)[31:16]
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/59hddw1d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mulhi_epi16(__m128i a, __m128i b) {
+    /* FIXME: issue with large values because of result saturation */
+    // int16x8_t ret = vqdmulhq_s16(vreinterpretq_s16_m128i(a),
+    // vreinterpretq_s16_m128i(b)); /* =2*a*b */ return
+    // vreinterpretq_m128i_s16(vshrq_n_s16(ret, 1));
+    int16x4_t a3210 = vget_low_s16(vreinterpretq_s16_m128i(a));
+    int16x4_t b3210 = vget_low_s16(vreinterpretq_s16_m128i(b));
+    int32x4_t ab3210 = vmull_s16(a3210, b3210); /* 3333222211110000 */
+    int16x4_t a7654 = vget_high_s16(vreinterpretq_s16_m128i(a));
+    int16x4_t b7654 = vget_high_s16(vreinterpretq_s16_m128i(b));
+    int32x4_t ab7654 = vmull_s16(a7654, b7654); /* 7777666655554444 */
+    uint16x8x2_t r = vuzpq_u16(vreinterpretq_u16_s32(ab3210), vreinterpretq_u16_s32(ab7654));
+    return vreinterpretq_m128i_u16(r.val[1]);
+}
+
+// Computes pairwise add of each argument as single-precision, floating-point
+// values a and b.
+// https://msdn.microsoft.com/en-us/library/yd9wecaa.aspx
+FORCE_INLINE __m128 _mm_hadd_ps(__m128 a, __m128 b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128_f32(
+            vpaddq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b))); // AArch64
+#else
+    float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+    float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+    float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_f32(vcombine_f32(vpadd_f32(a10, a32), vpadd_f32(b10, b32)));
+#endif
+}
+
+// Computes pairwise add of each argument as a 16-bit signed or unsigned integer
+// values a and b.
+FORCE_INLINE __m128i _mm_hadd_epi16(__m128i _a, __m128i _b) {
+    int16x8_t a = vreinterpretq_s16_m128i(_a);
+    int16x8_t b = vreinterpretq_s16_m128i(_b);
+    return vreinterpretq_m128i_s16(vcombine_s16(vpadd_s16(vget_low_s16(a), vget_high_s16(a)),
+                                                vpadd_s16(vget_low_s16(b), vget_high_s16(b))));
+}
+
+// Computes pairwise difference of each argument as a 16-bit signed or unsigned
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hsub_epi16(__m128i _a, __m128i _b) {
+    int32x4_t a = vreinterpretq_s32_m128i(_a);
+    int32x4_t b = vreinterpretq_s32_m128i(_b);
+    // Interleave using vshrn/vmovn
+    // [a0|a2|a4|a6|b0|b2|b4|b6]
+    // [a1|a3|a5|a7|b1|b3|b5|b7]
+    int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+    int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+    // Subtract
+    return vreinterpretq_m128i_s16(vsubq_s16(ab0246, ab1357));
+}
+
+// Computes saturated pairwise sub of each argument as a 16-bit signed
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hadds_epi16(__m128i _a, __m128i _b) {
+    int32x4_t a = vreinterpretq_s32_m128i(_a);
+    int32x4_t b = vreinterpretq_s32_m128i(_b);
+    // Interleave using vshrn/vmovn
+    // [a0|a2|a4|a6|b0|b2|b4|b6]
+    // [a1|a3|a5|a7|b1|b3|b5|b7]
+    int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+    int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+    // Saturated add
+    return vreinterpretq_m128i_s16(vqaddq_s16(ab0246, ab1357));
+}
+
+// Computes saturated pairwise difference of each argument as a 16-bit signed
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hsubs_epi16(__m128i _a, __m128i _b) {
+    int32x4_t a = vreinterpretq_s32_m128i(_a);
+    int32x4_t b = vreinterpretq_s32_m128i(_b);
+    // Interleave using vshrn/vmovn
+    // [a0|a2|a4|a6|b0|b2|b4|b6]
+    // [a1|a3|a5|a7|b1|b3|b5|b7]
+    int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+    int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+    // Saturated subtract
+    return vreinterpretq_m128i_s16(vqsubq_s16(ab0246, ab1357));
+}
+
+// Computes pairwise add of each argument as a 32-bit signed or unsigned integer
+// values a and b.
+FORCE_INLINE __m128i _mm_hadd_epi32(__m128i _a, __m128i _b) {
+    int32x4_t a = vreinterpretq_s32_m128i(_a);
+    int32x4_t b = vreinterpretq_s32_m128i(_b);
+    return vreinterpretq_m128i_s32(vcombine_s32(vpadd_s32(vget_low_s32(a), vget_high_s32(a)),
+                                                vpadd_s32(vget_low_s32(b), vget_high_s32(b))));
+}
+
+// Computes pairwise difference of each argument as a 32-bit signed or unsigned
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hsub_epi32(__m128i _a, __m128i _b) {
+    int64x2_t a = vreinterpretq_s64_m128i(_a);
+    int64x2_t b = vreinterpretq_s64_m128i(_b);
+    // Interleave using vshrn/vmovn
+    // [a0|a2|b0|b2]
+    // [a1|a2|b1|b3]
+    int32x4_t ab02 = vcombine_s32(vmovn_s64(a), vmovn_s64(b));
+    int32x4_t ab13 = vcombine_s32(vshrn_n_s64(a, 32), vshrn_n_s64(b, 32));
+    // Subtract
+    return vreinterpretq_m128i_s32(vsubq_s32(ab02, ab13));
+}
+
+// ******************************************
+// Compare operations
+// ******************************************
+
+// Compares for less than
+// https://msdn.microsoft.com/en-us/library/vstudio/f330yhc8(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmplt_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(vcltq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for greater than.
+//
+//   r0 := (a0 > b0) ? 0xffffffff : 0x0
+//   r1 := (a1 > b1) ? 0xffffffff : 0x0
+//   r2 := (a2 > b2) ? 0xffffffff : 0x0
+//   r3 := (a3 > b3) ? 0xffffffff : 0x0
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/11dy102s(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpgt_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(vcgtq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for greater than or equal.
+// https://msdn.microsoft.com/en-us/library/vstudio/fs813y2t(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpge_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(vcgeq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for less than or equal.
+//
+//   r0 := (a0 <= b0) ? 0xffffffff : 0x0
+//   r1 := (a1 <= b1) ? 0xffffffff : 0x0
+//   r2 := (a2 <= b2) ? 0xffffffff : 0x0
+//   r3 := (a3 <= b3) ? 0xffffffff : 0x0
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1s75w83z(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmple_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(vcleq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for equality.
+// https://msdn.microsoft.com/en-us/library/vstudio/36aectz5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpeq_ps(__m128 a, __m128 b) {
+    return vreinterpretq_m128_u32(vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares the 16 signed or unsigned 8-bit integers in a and the 16 signed or
+// unsigned 8-bit integers in b for equality.
+// https://msdn.microsoft.com/en-us/library/windows/desktop/bz5xk21a(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_cmpeq_epi8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vceqq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compares the 8 signed or unsigned 16-bit integers in a and the 8 signed or
+// unsigned 16-bit integers in b for equality.
+// https://msdn.microsoft.com/en-us/library/2ay060te(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpeq_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u16(
+            vceqq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Compare packed 32-bit integers in a and b for equality, and store the results
+// in dst
+FORCE_INLINE __m128i _mm_cmpeq_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u32(
+            vceqq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compare packed 64-bit integers in a and b for equality, and store the results
+// in dst
+FORCE_INLINE __m128i _mm_cmpeq_epi64(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_u64(
+            vceqq_u64(vreinterpretq_u64_m128i(a), vreinterpretq_u64_m128i(b)));
+#else
+    // ARMv7 lacks vceqq_u64
+    // (a == b) -> (a_lo == b_lo) && (a_hi == b_hi)
+    uint32x4_t cmp = vceqq_u32(vreinterpretq_u32_m128i(a), vreinterpretq_u32_m128i(b));
+    uint32x4_t swapped = vrev64q_u32(cmp);
+    return vreinterpretq_m128i_u32(vandq_u32(cmp, swapped));
+#endif
+}
+
+// Compares the 16 signed 8-bit integers in a and the 16 signed 8-bit integers
+// in b for lesser than.
+// https://msdn.microsoft.com/en-us/library/windows/desktop/9s46csht(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_cmplt_epi8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vcltq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compares the 16 signed 8-bit integers in a and the 16 signed 8-bit integers
+// in b for greater than.
+//
+//   r0 := (a0 > b0) ? 0xff : 0x0
+//   r1 := (a1 > b1) ? 0xff : 0x0
+//   ...
+//   r15 := (a15 > b15) ? 0xff : 0x0
+//
+// https://msdn.microsoft.com/zh-tw/library/wf45zt2b(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi8(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vcgtq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compares the 8 signed 16-bit integers in a and the 8 signed 16-bit integers
+// in b for greater than.
+//
+//   r0 := (a0 > b0) ? 0xffff : 0x0
+//   r1 := (a1 > b1) ? 0xffff : 0x0
+//   ...
+//   r7 := (a7 > b7) ? 0xffff : 0x0
+//
+// https://technet.microsoft.com/en-us/library/xd43yfsa(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u16(
+            vcgtq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Compares the 4 signed 32-bit integers in a and the 4 signed 32-bit integers
+// in b for less than.
+// https://msdn.microsoft.com/en-us/library/vstudio/4ak0bf5d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmplt_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u32(
+            vcltq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compares the 4 signed 32-bit integers in a and the 4 signed 32-bit integers
+// in b for greater than.
+// https://msdn.microsoft.com/en-us/library/vstudio/1s9f2z0y(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u32(
+            vcgtq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compares the 2 signed 64-bit integers in a and the 2 signed 64-bit integers
+// in b for greater than.
+FORCE_INLINE __m128i _mm_cmpgt_epi64(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_u64(
+            vcgtq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+#else
+    // ARMv7 lacks vcgtq_s64.
+    // This is based off of Clang's SSE2 polyfill:
+    // (a > b) -> ((a_hi > b_hi) || (a_lo > b_lo && a_hi == b_hi))
+
+    // Mask the sign bit out since we need a signed AND an unsigned comparison
+    // and it is ugly to try and split them.
+    int32x4_t mask = vreinterpretq_s32_s64(vdupq_n_s64(0x80000000ull));
+    int32x4_t a_mask = veorq_s32(vreinterpretq_s32_m128i(a), mask);
+    int32x4_t b_mask = veorq_s32(vreinterpretq_s32_m128i(b), mask);
+    // Check if a > b
+    int64x2_t greater = vreinterpretq_s64_u32(vcgtq_s32(a_mask, b_mask));
+    // Copy upper mask to lower mask
+    // a_hi > b_hi
+    int64x2_t gt_hi = vshrq_n_s64(greater, 63);
+    // Copy lower mask to upper mask
+    // a_lo > b_lo
+    int64x2_t gt_lo = vsliq_n_s64(greater, greater, 32);
+    // Compare for equality
+    int64x2_t equal = vreinterpretq_s64_u32(vceqq_s32(a_mask, b_mask));
+    // Copy upper mask to lower mask
+    // a_hi == b_hi
+    int64x2_t eq_hi = vshrq_n_s64(equal, 63);
+    // a_hi > b_hi || (a_lo > b_lo && a_hi == b_hi)
+    int64x2_t ret = vorrq_s64(gt_hi, vandq_s64(gt_lo, eq_hi));
+    return vreinterpretq_m128i_s64(ret);
+#endif
+}
+// Compares the four 32-bit floats in a and b to check if any values are NaN.
+// Ordered compare between each value returns true for "orderable" and false for
+// "not orderable" (NaN).
+// https://msdn.microsoft.com/en-us/library/vstudio/0h9w00fx(v=vs.100).aspx see
+// also:
+// http://stackoverflow.com/questions/8627331/what-does-ordered-unordered-comparison-mean
+// http://stackoverflow.com/questions/29349621/neon-isnanval-intrinsics
+FORCE_INLINE __m128 _mm_cmpord_ps(__m128 a, __m128 b) {
+    // Note: NEON does not have ordered compare builtin
+    // Need to compare a eq a and b eq b to check for NaN
+    // Do AND of results to get final
+    uint32x4_t ceqaa = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t ceqbb = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    return vreinterpretq_m128_u32(vandq_u32(ceqaa, ceqbb));
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a less than operation. :
+// https://msdn.microsoft.com/en-us/library/2kwe606b(v=vs.90).aspx Important
+// note!! The documentation on MSDN is incorrect!  If either of the values is a
+// NAN the docs say you will get a one, but in fact, it will return a zero!!
+FORCE_INLINE int _mm_comilt_ss(__m128 a, __m128 b) {
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+    uint32x4_t a_lt_b = vcltq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+    return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_lt_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a greater than operation. :
+// https://msdn.microsoft.com/en-us/library/b0738e0t(v=vs.100).aspx
+FORCE_INLINE int _mm_comigt_ss(__m128 a, __m128 b) {
+    // return vgetq_lane_u32(vcgtq_f32(vreinterpretq_f32_m128(a),
+    // vreinterpretq_f32_m128(b)), 0);
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+    uint32x4_t a_gt_b = vcgtq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+    return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_gt_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a less than or equal operation. :
+// https://msdn.microsoft.com/en-us/library/1w4t7c57(v=vs.90).aspx
+FORCE_INLINE int _mm_comile_ss(__m128 a, __m128 b) {
+    // return vgetq_lane_u32(vcleq_f32(vreinterpretq_f32_m128(a),
+    // vreinterpretq_f32_m128(b)), 0);
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+    uint32x4_t a_le_b = vcleq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+    return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_le_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a greater than or equal operation. :
+// https://msdn.microsoft.com/en-us/library/8t80des6(v=vs.100).aspx
+FORCE_INLINE int _mm_comige_ss(__m128 a, __m128 b) {
+    // return vgetq_lane_u32(vcgeq_f32(vreinterpretq_f32_m128(a),
+    // vreinterpretq_f32_m128(b)), 0);
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+    uint32x4_t a_ge_b = vcgeq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+    return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_ge_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using an equality operation. :
+// https://msdn.microsoft.com/en-us/library/93yx2h2b(v=vs.100).aspx
+FORCE_INLINE int _mm_comieq_ss(__m128 a, __m128 b) {
+    // return vgetq_lane_u32(vceqq_f32(vreinterpretq_f32_m128(a),
+    // vreinterpretq_f32_m128(b)), 0);
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+    uint32x4_t a_eq_b = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+    return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_eq_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using an inequality operation. :
+// https://msdn.microsoft.com/en-us/library/bafh5e0a(v=vs.90).aspx
+FORCE_INLINE int _mm_comineq_ss(__m128 a, __m128 b) {
+    // return !vgetq_lane_u32(vceqq_f32(vreinterpretq_f32_m128(a),
+    // vreinterpretq_f32_m128(b)), 0);
+    uint32x4_t a_not_nan = vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+    uint32x4_t b_not_nan = vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+    uint32x4_t a_or_b_nan = vmvnq_u32(vandq_u32(a_not_nan, b_not_nan));
+    uint32x4_t a_neq_b = vmvnq_u32(vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+    return (vgetq_lane_u32(vorrq_u32(a_or_b_nan, a_neq_b), 0) != 0) ? 1 : 0;
+}
+
+// according to the documentation, these intrinsics behave the same as the
+// non-'u' versions.  We'll just alias them here.
+#define _mm_ucomilt_ss _mm_comilt_ss
+#define _mm_ucomile_ss _mm_comile_ss
+#define _mm_ucomigt_ss _mm_comigt_ss
+#define _mm_ucomige_ss _mm_comige_ss
+#define _mm_ucomieq_ss _mm_comieq_ss
+#define _mm_ucomineq_ss _mm_comineq_ss
+
+// ******************************************
+// Conversions
+// ******************************************
+
+// Converts the four single-precision, floating-point values of a to signed
+// 32-bit integer values using truncate.
+// https://msdn.microsoft.com/en-us/library/vstudio/1h005y6x(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cvttps_epi32(__m128 a) {
+    return vreinterpretq_m128i_s32(vcvtq_s32_f32(vreinterpretq_f32_m128(a)));
+}
+
+// Converts the four signed 32-bit integer values of a to single-precision,
+// floating-point values
+// https://msdn.microsoft.com/en-us/library/vstudio/36bwxcx5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cvtepi32_ps(__m128i a) {
+    return vreinterpretq_m128_f32(vcvtq_f32_s32(vreinterpretq_s32_m128i(a)));
+}
+
+// Converts the four unsigned 8-bit integers in the lower 16 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu8_epi16(__m128i a) {
+    uint8x16_t u8x16 = vreinterpretq_u8_m128i(a);    /* xxxx xxxx xxxx DCBA */
+    uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+    return vreinterpretq_m128i_u16(u16x8);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 32 bits to four
+// unsigned 32-bit integers.
+// https://msdn.microsoft.com/en-us/library/bb531467%28v=vs.100%29.aspx
+FORCE_INLINE __m128i _mm_cvtepu8_epi32(__m128i a) {
+    uint8x16_t u8x16 = vreinterpretq_u8_m128i(a);      /* xxxx xxxx xxxx DCBA */
+    uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16));   /* 0x0x 0x0x 0D0C 0B0A */
+    uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000D 000C 000B 000A */
+    return vreinterpretq_m128i_u32(u32x4);
+}
+
+// Converts the two unsigned 8-bit integers in the lower 16 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu8_epi64(__m128i a) {
+    uint8x16_t u8x16 = vreinterpretq_u8_m128i(a);      /* xxxx xxxx xxxx xxBA */
+    uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16));   /* 0x0x 0x0x 0x0x 0B0A */
+    uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000x 000x 000B 000A */
+    uint64x2_t u64x2 = vmovl_u32(vget_low_u32(u32x4)); /* 0000 000B 0000 000A */
+    return vreinterpretq_m128i_u64(u64x2);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 16 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi16(__m128i a) {
+    int8x16_t s8x16 = vreinterpretq_s8_m128i(a);    /* xxxx xxxx xxxx DCBA */
+    int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+    return vreinterpretq_m128i_s16(s16x8);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 32 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi32(__m128i a) {
+    int8x16_t s8x16 = vreinterpretq_s8_m128i(a);      /* xxxx xxxx xxxx DCBA */
+    int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16));   /* 0x0x 0x0x 0D0C 0B0A */
+    int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000D 000C 000B 000A */
+    return vreinterpretq_m128i_s32(s32x4);
+}
+
+// Converts the two signed 8-bit integers in the lower 32 bits to four
+// signed 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi64(__m128i a) {
+    int8x16_t s8x16 = vreinterpretq_s8_m128i(a);      /* xxxx xxxx xxxx xxBA */
+    int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16));   /* 0x0x 0x0x 0x0x 0B0A */
+    int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000x 000x 000B 000A */
+    int64x2_t s64x2 = vmovl_s32(vget_low_s32(s32x4)); /* 0000 000B 0000 000A */
+    return vreinterpretq_m128i_s64(s64x2);
+}
+
+// Converts the four signed 16-bit integers in the lower 64 bits to four signed
+// 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi16_epi32(__m128i a) {
+    return vreinterpretq_m128i_s32(vmovl_s16(vget_low_s16(vreinterpretq_s16_m128i(a))));
+}
+
+// Converts the two signed 16-bit integers in the lower 32 bits two signed
+// 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi16_epi64(__m128i a) {
+    int16x8_t s16x8 = vreinterpretq_s16_m128i(a);     /* xxxx xxxx xxxx 0B0A */
+    int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000x 000x 000B 000A */
+    int64x2_t s64x2 = vmovl_s32(vget_low_s32(s32x4)); /* 0000 000B 0000 000A */
+    return vreinterpretq_m128i_s64(s64x2);
+}
+
+// Converts the four unsigned 16-bit integers in the lower 64 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu16_epi32(__m128i a) {
+    return vreinterpretq_m128i_u32(vmovl_u16(vget_low_u16(vreinterpretq_u16_m128i(a))));
+}
+
+// Converts the two unsigned 16-bit integers in the lower 32 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu16_epi64(__m128i a) {
+    uint16x8_t u16x8 = vreinterpretq_u16_m128i(a);     /* xxxx xxxx xxxx 0B0A */
+    uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000x 000x 000B 000A */
+    uint64x2_t u64x2 = vmovl_u32(vget_low_u32(u32x4)); /* 0000 000B 0000 000A */
+    return vreinterpretq_m128i_u64(u64x2);
+}
+
+// Converts the two unsigned 32-bit integers in the lower 64 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu32_epi64(__m128i a) {
+    return vreinterpretq_m128i_u64(vmovl_u32(vget_low_u32(vreinterpretq_u32_m128i(a))));
+}
+
+// Converts the two signed 32-bit integers in the lower 64 bits to two signed
+// 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi32_epi64(__m128i a) {
+    return vreinterpretq_m128i_s64(vmovl_s32(vget_low_s32(vreinterpretq_s32_m128i(a))));
+}
+
+// Converts the four single-precision, floating-point values of a to signed
+// 32-bit integer values.
+//
+//   r0 := (int) a0
+//   r1 := (int) a1
+//   r2 := (int) a2
+//   r3 := (int) a3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/xdc42k5e(v=vs.100).aspx
+// *NOTE*. The default rounding mode on SSE is 'round to even', which ArmV7-A
+// does not support! It is supported on ARMv8-A however.
+FORCE_INLINE __m128i _mm_cvtps_epi32(__m128 a) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s32(vcvtnq_s32_f32(a));
+#else
+    uint32x4_t signmask = vdupq_n_u32(0x80000000);
+    float32x4_t half =
+            vbslq_f32(signmask, vreinterpretq_f32_m128(a), vdupq_n_f32(0.5f)); /* +/- 0.5 */
+    int32x4_t r_normal = vcvtq_s32_f32(
+            vaddq_f32(vreinterpretq_f32_m128(a), half));          /* round to integer: [a + 0.5]*/
+    int32x4_t r_trunc = vcvtq_s32_f32(vreinterpretq_f32_m128(a)); /* truncate to integer: [a] */
+    int32x4_t plusone = vreinterpretq_s32_u32(
+            vshrq_n_u32(vreinterpretq_u32_s32(vnegq_s32(r_trunc)), 31)); /* 1 or 0 */
+    int32x4_t r_even =
+            vbicq_s32(vaddq_s32(r_trunc, plusone), vdupq_n_s32(1)); /* ([a] + {0,1}) & ~1 */
+    float32x4_t delta = vsubq_f32(vreinterpretq_f32_m128(a),
+                                  vcvtq_f32_s32(r_trunc)); /* compute delta: delta = (a - [a]) */
+    uint32x4_t is_delta_half = vceqq_f32(delta, half);     /* delta == +/- 0.5 */
+    return vreinterpretq_m128i_s32(vbslq_s32(is_delta_half, r_even, r_normal));
+#endif
+}
+
+// Moves the least significant 32 bits of a to a 32-bit integer.
+// https://msdn.microsoft.com/en-us/library/5z7a9642%28v=vs.90%29.aspx
+FORCE_INLINE int _mm_cvtsi128_si32(__m128i a) {
+    return vgetq_lane_s32(vreinterpretq_s32_m128i(a), 0);
+}
+
+// Extracts the low order 64-bit integer from the parameter.
+// https://msdn.microsoft.com/en-us/library/bb531384(v=vs.120).aspx
+FORCE_INLINE uint64_t _mm_cvtsi128_si64(__m128i a) {
+    return vgetq_lane_s64(vreinterpretq_s64_m128i(a), 0);
+}
+
+// Moves 32-bit integer a to the least significant 32 bits of an __m128 object,
+// zero extending the upper bits.
+//
+//   r0 := a
+//   r1 := 0x0
+//   r2 := 0x0
+//   r3 := 0x0
+//
+// https://msdn.microsoft.com/en-us/library/ct3539ha%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_cvtsi32_si128(int a) {
+    return vreinterpretq_m128i_s32(vsetq_lane_s32(a, vdupq_n_s32(0), 0));
+}
+
+// Moves 64-bit integer a to the least significant 64 bits of an __m128 object,
+// zero extending the upper bits.
+//
+//   r0 := a
+//   r1 := 0x0
+FORCE_INLINE __m128i _mm_cvtsi64_si128(int64_t a) {
+    return vreinterpretq_m128i_s64(vsetq_lane_s64(a, vdupq_n_s64(0), 0));
+}
+
+// Applies a type cast to reinterpret four 32-bit floating point values passed
+// in as a 128-bit parameter as packed 32-bit integers.
+// https://msdn.microsoft.com/en-us/library/bb514099.aspx
+FORCE_INLINE __m128i _mm_castps_si128(__m128 a) {
+    return vreinterpretq_m128i_s32(vreinterpretq_s32_m128(a));
+}
+
+// Applies a type cast to reinterpret four 32-bit integers passed in as a
+// 128-bit parameter as packed 32-bit floating point values.
+// https://msdn.microsoft.com/en-us/library/bb514029.aspx
+FORCE_INLINE __m128 _mm_castsi128_ps(__m128i a) {
+    return vreinterpretq_m128_s32(vreinterpretq_s32_m128i(a));
+}
+
+// Loads 128-bit value. :
+// https://msdn.microsoft.com/en-us/library/atzzad1h(v=vs.80).aspx
+FORCE_INLINE __m128i _mm_load_si128(const __m128i* p) {
+    return vreinterpretq_m128i_s32(vld1q_s32((const int32_t*)p));
+}
+
+// Loads 128-bit value. :
+// https://msdn.microsoft.com/zh-cn/library/f4k12ae8(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_loadu_si128(const __m128i* p) {
+    return vreinterpretq_m128i_s32(vld1q_s32((const int32_t*)p));
+}
+
+// _mm_lddqu_si128 functions the same as _mm_loadu_si128.
+#define _mm_lddqu_si128 _mm_loadu_si128
+
+// ******************************************
+// Miscellaneous Operations
+// ******************************************
+
+// Packs the 16 signed 16-bit integers from a and b into 8-bit integers and
+// saturates.
+// https://msdn.microsoft.com/en-us/library/k4y4f7w5%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_packs_epi16(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s8(vcombine_s8(vqmovn_s16(vreinterpretq_s16_m128i(a)),
+                                              vqmovn_s16(vreinterpretq_s16_m128i(b))));
+}
+
+// Packs the 16 signed 16 - bit integers from a and b into 8 - bit unsigned
+// integers and saturates.
+//
+//   r0 := UnsignedSaturate(a0)
+//   r1 := UnsignedSaturate(a1)
+//   ...
+//   r7 := UnsignedSaturate(a7)
+//   r8 := UnsignedSaturate(b0)
+//   r9 := UnsignedSaturate(b1)
+//   ...
+//   r15 := UnsignedSaturate(b7)
+//
+// https://msdn.microsoft.com/en-us/library/07ad1wx4(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_packus_epi16(const __m128i a, const __m128i b) {
+    return vreinterpretq_m128i_u8(vcombine_u8(vqmovun_s16(vreinterpretq_s16_m128i(a)),
+                                              vqmovun_s16(vreinterpretq_s16_m128i(b))));
+}
+
+// Packs the 8 signed 32-bit integers from a and b into signed 16-bit integers
+// and saturates.
+//
+//   r0 := SignedSaturate(a0)
+//   r1 := SignedSaturate(a1)
+//   r2 := SignedSaturate(a2)
+//   r3 := SignedSaturate(a3)
+//   r4 := SignedSaturate(b0)
+//   r5 := SignedSaturate(b1)
+//   r6 := SignedSaturate(b2)
+//   r7 := SignedSaturate(b3)
+//
+// https://msdn.microsoft.com/en-us/library/393t56f9%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_packs_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_s16(vcombine_s16(vqmovn_s32(vreinterpretq_s32_m128i(a)),
+                                                vqmovn_s32(vreinterpretq_s32_m128i(b))));
+}
+
+// Packs the 8 unsigned 32-bit integers from a and b into unsigned 16-bit
+// integers and saturates.
+//
+//   r0 := UnsignedSaturate(a0)
+//   r1 := UnsignedSaturate(a1)
+//   r2 := UnsignedSaturate(a2)
+//   r3 := UnsignedSaturate(a3)
+//   r4 := UnsignedSaturate(b0)
+//   r5 := UnsignedSaturate(b1)
+//   r6 := UnsignedSaturate(b2)
+//   r7 := UnsignedSaturate(b3)
+FORCE_INLINE __m128i _mm_packus_epi32(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u16(vcombine_u16(vqmovn_u32(vreinterpretq_u32_m128i(a)),
+                                                vqmovn_u32(vreinterpretq_u32_m128i(b))));
+}
+
+// Interleaves the lower 8 signed or unsigned 8-bit integers in a with the lower
+// 8 signed or unsigned 8-bit integers in b.
+//
+//   r0 := a0
+//   r1 := b0
+//   r2 := a1
+//   r3 := b1
+//   ...
+//   r14 := a7
+//   r15 := b7
+//
+// https://msdn.microsoft.com/en-us/library/xf7k860c%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi8(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s8(vzip1q_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+#else
+    int8x8_t a1 = vreinterpret_s8_s16(vget_low_s16(vreinterpretq_s16_m128i(a)));
+    int8x8_t b1 = vreinterpret_s8_s16(vget_low_s16(vreinterpretq_s16_m128i(b)));
+    int8x8x2_t result = vzip_s8(a1, b1);
+    return vreinterpretq_m128i_s8(vcombine_s8(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the lower 4 signed or unsigned 16-bit integers in a with the
+// lower 4 signed or unsigned 16-bit integers in b.
+//
+//   r0 := a0
+//   r1 := b0
+//   r2 := a1
+//   r3 := b1
+//   r4 := a2
+//   r5 := b2
+//   r6 := a3
+//   r7 := b3
+//
+// https://msdn.microsoft.com/en-us/library/btxb17bw%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi16(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s16(
+            vzip1q_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+#else
+    int16x4_t a1 = vget_low_s16(vreinterpretq_s16_m128i(a));
+    int16x4_t b1 = vget_low_s16(vreinterpretq_s16_m128i(b));
+    int16x4x2_t result = vzip_s16(a1, b1);
+    return vreinterpretq_m128i_s16(vcombine_s16(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the lower 2 signed or unsigned 32 - bit integers in a with the
+// lower 2 signed or unsigned 32 - bit integers in b.
+//
+//   r0 := a0
+//   r1 := b0
+//   r2 := a1
+//   r3 := b1
+//
+// https://msdn.microsoft.com/en-us/library/x8atst9d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi32(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s32(
+            vzip1q_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+#else
+    int32x2_t a1 = vget_low_s32(vreinterpretq_s32_m128i(a));
+    int32x2_t b1 = vget_low_s32(vreinterpretq_s32_m128i(b));
+    int32x2x2_t result = vzip_s32(a1, b1);
+    return vreinterpretq_m128i_s32(vcombine_s32(result.val[0], result.val[1]));
+#endif
+}
+
+FORCE_INLINE __m128i _mm_unpacklo_epi64(__m128i a, __m128i b) {
+    int64x1_t a_l = vget_low_s64(vreinterpretq_s64_m128i(a));
+    int64x1_t b_l = vget_low_s64(vreinterpretq_s64_m128i(b));
+    return vreinterpretq_m128i_s64(vcombine_s64(a_l, b_l));
+}
+
+// Selects and interleaves the lower two single-precision, floating-point values
+// from a and b.
+//
+//   r0 := a0
+//   r1 := b0
+//   r2 := a1
+//   r3 := b1
+//
+// https://msdn.microsoft.com/en-us/library/25st103b%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_unpacklo_ps(__m128 a, __m128 b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128_f32(vzip1q_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+    float32x2_t a1 = vget_low_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b1 = vget_low_f32(vreinterpretq_f32_m128(b));
+    float32x2x2_t result = vzip_f32(a1, b1);
+    return vreinterpretq_m128_f32(vcombine_f32(result.val[0], result.val[1]));
+#endif
+}
+
+// Selects and interleaves the upper two single-precision, floating-point values
+// from a and b.
+//
+//   r0 := a2
+//   r1 := b2
+//   r2 := a3
+//   r3 := b3
+//
+// https://msdn.microsoft.com/en-us/library/skccxx7d%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_unpackhi_ps(__m128 a, __m128 b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128_f32(vzip2q_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+    float32x2_t a1 = vget_high_f32(vreinterpretq_f32_m128(a));
+    float32x2_t b1 = vget_high_f32(vreinterpretq_f32_m128(b));
+    float32x2x2_t result = vzip_f32(a1, b1);
+    return vreinterpretq_m128_f32(vcombine_f32(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 8 signed or unsigned 8-bit integers in a with the upper
+// 8 signed or unsigned 8-bit integers in b.
+//
+//   r0 := a8
+//   r1 := b8
+//   r2 := a9
+//   r3 := b9
+//   ...
+//   r14 := a15
+//   r15 := b15
+//
+// https://msdn.microsoft.com/en-us/library/t5h7783k(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi8(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s8(vzip2q_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+#else
+    int8x8_t a1 = vreinterpret_s8_s16(vget_high_s16(vreinterpretq_s16_m128i(a)));
+    int8x8_t b1 = vreinterpret_s8_s16(vget_high_s16(vreinterpretq_s16_m128i(b)));
+    int8x8x2_t result = vzip_s8(a1, b1);
+    return vreinterpretq_m128i_s8(vcombine_s8(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 4 signed or unsigned 16-bit integers in a with the
+// upper 4 signed or unsigned 16-bit integers in b.
+//
+//   r0 := a4
+//   r1 := b4
+//   r2 := a5
+//   r3 := b5
+//   r4 := a6
+//   r5 := b6
+//   r6 := a7
+//   r7 := b7
+//
+// https://msdn.microsoft.com/en-us/library/03196cz7(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi16(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s16(
+            vzip2q_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+#else
+    int16x4_t a1 = vget_high_s16(vreinterpretq_s16_m128i(a));
+    int16x4_t b1 = vget_high_s16(vreinterpretq_s16_m128i(b));
+    int16x4x2_t result = vzip_s16(a1, b1);
+    return vreinterpretq_m128i_s16(vcombine_s16(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 2 signed or unsigned 32-bit integers in a with the
+// upper 2 signed or unsigned 32-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/65sa7cbs(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi32(__m128i a, __m128i b) {
+#if defined(__aarch64__)
+    return vreinterpretq_m128i_s32(
+            vzip2q_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+#else
+    int32x2_t a1 = vget_high_s32(vreinterpretq_s32_m128i(a));
+    int32x2_t b1 = vget_high_s32(vreinterpretq_s32_m128i(b));
+    int32x2x2_t result = vzip_s32(a1, b1);
+    return vreinterpretq_m128i_s32(vcombine_s32(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper signed or unsigned 64-bit integer in a with the
+// upper signed or unsigned 64-bit integer in b.
+//
+//   r0 := a1
+//   r1 := b1
+FORCE_INLINE __m128i _mm_unpackhi_epi64(__m128i a, __m128i b) {
+    int64x1_t a_h = vget_high_s64(vreinterpretq_s64_m128i(a));
+    int64x1_t b_h = vget_high_s64(vreinterpretq_s64_m128i(b));
+    return vreinterpretq_m128i_s64(vcombine_s64(a_h, b_h));
+}
+
+// shift to right
+// https://msdn.microsoft.com/en-us/library/bb514041(v=vs.120).aspx
+// http://blog.csdn.net/hemmingway/article/details/44828303
+// Clang requires a macro here, as it is extremely picky about c being a
+// literal.
+#define _mm_alignr_epi8(a, b, c) ((__m128i)vextq_s8((int8x16_t)(b), (int8x16_t)(a), (c)))
+
+// Extracts the selected signed or unsigned 8-bit integer from a and zero
+// extends.
+// FORCE_INLINE int _mm_extract_epi8(__m128i a, __constrange(0,16) int imm)
+#define _mm_extract_epi8(a, imm) vgetq_lane_u8(vreinterpretq_u8_m128i(a), (imm))
+
+// Inserts the least significant 8 bits of b into the selected 8-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi8(__m128i a, const int b,
+// __constrange(0,16) int imm)
+#define _mm_insert_epi8(a, b, imm) \
+    __extension__({ vreinterpretq_m128i_s8(vsetq_lane_s8((b), vreinterpretq_s8_m128i(a), (imm))); })
+
+// Extracts the selected signed or unsigned 16-bit integer from a and zero
+// extends.
+// https://msdn.microsoft.com/en-us/library/6dceta0c(v=vs.100).aspx
+// FORCE_INLINE int _mm_extract_epi16(__m128i a, __constrange(0,8) int imm)
+#define _mm_extract_epi16(a, imm) vgetq_lane_u16(vreinterpretq_u16_m128i(a), (imm))
+
+// Inserts the least significant 16 bits of b into the selected 16-bit integer
+// of a.
+// https://msdn.microsoft.com/en-us/library/kaze8hz1%28v=vs.100%29.aspx
+// FORCE_INLINE __m128i _mm_insert_epi16(__m128i a, const int b,
+// __constrange(0,8) int imm)
+#define _mm_insert_epi16(a, b, imm) \
+    __extension__(                  \
+            { vreinterpretq_m128i_s16(vsetq_lane_s16((b), vreinterpretq_s16_m128i(a), (imm))); })
+
+// Extracts the selected signed or unsigned 32-bit integer from a and zero
+// extends.
+// FORCE_INLINE int _mm_extract_epi32(__m128i a, __constrange(0,4) int imm)
+#define _mm_extract_epi32(a, imm) vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm))
+
+// Inserts the least significant 32 bits of b into the selected 32-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi32(__m128i a, const int b,
+// __constrange(0,4) int imm)
+#define _mm_insert_epi32(a, b, imm) \
+    __extension__(                  \
+            { vreinterpretq_m128i_s32(vsetq_lane_s32((b), vreinterpretq_s32_m128i(a), (imm))); })
+
+// Extracts the selected signed or unsigned 64-bit integer from a and zero
+// extends.
+// FORCE_INLINE __int64 _mm_extract_epi64(__m128i a, __constrange(0,2) int imm)
+#define _mm_extract_epi64(a, imm) vgetq_lane_s64(vreinterpretq_s64_m128i(a), (imm))
+
+// Inserts the least significant 64 bits of b into the selected 64-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi64(__m128i a, const __int64 b,
+// __constrange(0,2) int imm)
+#define _mm_insert_epi64(a, b, imm) \
+    __extension__(                  \
+            { vreinterpretq_m128i_s64(vsetq_lane_s64((b), vreinterpretq_s64_m128i(a), (imm))); })
+
+// ******************************************
+// Crypto Extensions
+// ******************************************
+#if defined(__ARM_FEATURE_CRYPTO)
+// Wraps vmull_p64
+FORCE_INLINE uint64x2_t _sse2neon_vmull_p64(uint64x1_t _a, uint64x1_t _b) {
+    poly64_t a = vget_lane_p64(vreinterpret_p64_u64(_a), 0);
+    poly64_t b = vget_lane_p64(vreinterpret_p64_u64(_b), 0);
+    return vreinterpretq_u64_p128(vmull_p64(a, b));
+}
+
+#else // ARMv7 polyfill
+// ARMv7/some A64 lacks vmull_p64, but it has vmull_p8.
+//
+// vmull_p8 calculates 8 8-bit->16-bit polynomial multiplies, but we need a
+// 64-bit->128-bit polynomial multiply.
+//
+// It needs some work and is somewhat slow, but it is still faster than all
+// known scalar methods.
+//
+// Algorithm adapted to C from
+// https://www.workofard.com/2017/07/ghash-for-low-end-cores/, which is adapted
+// from "Fast Software Polynomial Multiplication on ARM Processors Using the
+// NEON Engine" by Danilo Camara, Conrado Gouvea, Julio Lopez and Ricardo Dahab
+// (https://hal.inria.fr/hal-01506572)
+static uint64x2_t _sse2neon_vmull_p64(uint64x1_t _a, uint64x1_t _b) {
+    poly8x8_t a = vreinterpret_p8_u64(_a);
+    poly8x8_t b = vreinterpret_p8_u64(_b);
+
+    // Masks
+    uint8x16_t k48_32 = vcombine_u8(vcreate_u8(0x0000ffffffffffff), vcreate_u8(0x00000000ffffffff));
+    uint8x16_t k16_00 = vcombine_u8(vcreate_u8(0x000000000000ffff), vcreate_u8(0x0000000000000000));
+
+    // Do the multiplies, rotating with vext to get all combinations
+    uint8x16_t d = vreinterpretq_u8_p16(vmull_p8(a, b));                // D = A0 * B0
+    uint8x16_t e = vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 1))); // E = A0 * B1
+    uint8x16_t f = vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 1), b)); // F = A1 * B0
+    uint8x16_t g = vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 2))); // G = A0 * B2
+    uint8x16_t h = vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 2), b)); // H = A2 * B0
+    uint8x16_t i = vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 3))); // I = A0 * B3
+    uint8x16_t j = vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 3), b)); // J = A3 * B0
+    uint8x16_t k = vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 4))); // L = A0 * B4
+
+    // Add cross products
+    uint8x16_t l = veorq_u8(e, f); // L = E + F
+    uint8x16_t m = veorq_u8(g, h); // M = G + H
+    uint8x16_t n = veorq_u8(i, j); // N = I + J
+
+    // Interleave. Using vzip1 and vzip2 prevents Clang from emitting TBL
+    // instructions.
+#if defined(__aarch64__)
+    uint8x16_t lm_p0 =
+            vreinterpretq_u8_u64(vzip1q_u64(vreinterpretq_u64_u8(l), vreinterpretq_u64_u8(m)));
+    uint8x16_t lm_p1 =
+            vreinterpretq_u8_u64(vzip2q_u64(vreinterpretq_u64_u8(l), vreinterpretq_u64_u8(m)));
+    uint8x16_t nk_p0 =
+            vreinterpretq_u8_u64(vzip1q_u64(vreinterpretq_u64_u8(n), vreinterpretq_u64_u8(k)));
+    uint8x16_t nk_p1 =
+            vreinterpretq_u8_u64(vzip2q_u64(vreinterpretq_u64_u8(n), vreinterpretq_u64_u8(k)));
+#else
+    uint8x16_t lm_p0 = vcombine_u8(vget_low_u8(l), vget_low_u8(m));
+    uint8x16_t lm_p1 = vcombine_u8(vget_high_u8(l), vget_high_u8(m));
+    uint8x16_t nk_p0 = vcombine_u8(vget_low_u8(n), vget_low_u8(k));
+    uint8x16_t nk_p1 = vcombine_u8(vget_high_u8(n), vget_high_u8(k));
+#endif
+    // t0 = (L) (P0 + P1) << 8
+    // t1 = (M) (P2 + P3) << 16
+    uint8x16_t t0t1_tmp = veorq_u8(lm_p0, lm_p1);
+    uint8x16_t t0t1_h = vandq_u8(lm_p1, k48_32);
+    uint8x16_t t0t1_l = veorq_u8(t0t1_tmp, t0t1_h);
+
+    // t2 = (N) (P4 + P5) << 24
+    // t3 = (K) (P6 + P7) << 32
+    uint8x16_t t2t3_tmp = veorq_u8(nk_p0, nk_p1);
+    uint8x16_t t2t3_h = vandq_u8(nk_p1, k16_00);
+    uint8x16_t t2t3_l = veorq_u8(t2t3_tmp, t2t3_h);
+
+    // De-interleave
+#if defined(__aarch64__)
+    uint8x16_t t0 = vreinterpretq_u8_u64(
+            vuzp1q_u64(vreinterpretq_u64_u8(t0t1_l), vreinterpretq_u64_u8(t0t1_h)));
+    uint8x16_t t1 = vreinterpretq_u8_u64(
+            vuzp2q_u64(vreinterpretq_u64_u8(t0t1_l), vreinterpretq_u64_u8(t0t1_h)));
+    uint8x16_t t2 = vreinterpretq_u8_u64(
+            vuzp1q_u64(vreinterpretq_u64_u8(t2t3_l), vreinterpretq_u64_u8(t2t3_h)));
+    uint8x16_t t3 = vreinterpretq_u8_u64(
+            vuzp2q_u64(vreinterpretq_u64_u8(t2t3_l), vreinterpretq_u64_u8(t2t3_h)));
+#else
+    uint8x16_t t1 = vcombine_u8(vget_high_u8(t0t1_l), vget_high_u8(t0t1_h));
+    uint8x16_t t0 = vcombine_u8(vget_low_u8(t0t1_l), vget_low_u8(t0t1_h));
+    uint8x16_t t3 = vcombine_u8(vget_high_u8(t2t3_l), vget_high_u8(t2t3_h));
+    uint8x16_t t2 = vcombine_u8(vget_low_u8(t2t3_l), vget_low_u8(t2t3_h));
+#endif
+    // Shift the cross products
+    uint8x16_t t0_shift = vextq_u8(t0, t0, 15); // t0 << 8
+    uint8x16_t t1_shift = vextq_u8(t1, t1, 14); // t1 << 16
+    uint8x16_t t2_shift = vextq_u8(t2, t2, 13); // t2 << 24
+    uint8x16_t t3_shift = vextq_u8(t3, t3, 12); // t3 << 32
+
+    // Accumulate the products
+    uint8x16_t cross1 = veorq_u8(t0_shift, t1_shift);
+    uint8x16_t cross2 = veorq_u8(t2_shift, t3_shift);
+    uint8x16_t mix = veorq_u8(d, cross1);
+    uint8x16_t r = veorq_u8(mix, cross2);
+    return vreinterpretq_u64_u8(r);
+}
+
+#endif // ARMv7 polyfill
+FORCE_INLINE __m128i _mm_clmulepi64_si128(__m128i _a, __m128i _b, const int imm) {
+    uint64x2_t a = vreinterpretq_u64_m128i(_a);
+    uint64x2_t b = vreinterpretq_u64_m128i(_b);
+    switch (imm & 0x11) {
+    case 0x00:
+        return vreinterpretq_m128i_u64(_sse2neon_vmull_p64(vget_low_u64(a), vget_low_u64(b)));
+    case 0x01:
+        return vreinterpretq_m128i_u64(_sse2neon_vmull_p64(vget_high_u64(a), vget_low_u64(b)));
+    case 0x10:
+        return vreinterpretq_m128i_u64(_sse2neon_vmull_p64(vget_low_u64(a), vget_high_u64(b)));
+    case 0x11:
+        return vreinterpretq_m128i_u64(_sse2neon_vmull_p64(vget_high_u64(a), vget_high_u64(b)));
+    default:
+        abort();
+    }
+}
+
+#if !defined(__ARM_FEATURE_CRYPTO) && defined(__aarch64__)
+// In the absence of crypto extensions, implement aesenc using regular neon
+// intrinsics instead. See:
+// https://www.workofard.com/2017/01/accelerated-aes-for-the-arm64-linux-kernel/
+// https://www.workofard.com/2017/07/ghash-for-low-end-cores/ and
+// https://github.com/ColinIanKing/linux-next-mirror/blob/b5f466091e130caaf0735976648f72bd5e09aa84/crypto/aegis128-neon-inner.c#L52
+// for more information Reproduced with permission of the author.
+FORCE_INLINE __m128i _mm_aesenc_si128(__m128i EncBlock, __m128i RoundKey) {
+    static const uint8_t crypto_aes_sbox[256] = {
+            0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7,
+            0xab, 0x76, 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf,
+            0x9c, 0xa4, 0x72, 0xc0, 0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5,
+            0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15, 0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a,
+            0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75, 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e,
+            0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84, 0x53, 0xd1, 0x00, 0xed,
+            0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf, 0xd0, 0xef,
+            0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8,
+            0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff,
+            0xf3, 0xd2, 0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d,
+            0x64, 0x5d, 0x19, 0x73, 0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee,
+            0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb, 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c,
+            0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79, 0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5,
+            0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08, 0xba, 0x78, 0x25, 0x2e,
+            0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a, 0x70, 0x3e,
+            0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e,
+            0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55,
+            0x28, 0xdf, 0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f,
+            0xb0, 0x54, 0xbb, 0x16};
+    static const uint8_t shift_rows[] = {0x0, 0x5, 0xa, 0xf, 0x4, 0x9, 0xe, 0x3,
+                                         0x8, 0xd, 0x2, 0x7, 0xc, 0x1, 0x6, 0xb};
+    static const uint8_t ror32by8[] = {0x1, 0x2, 0x3, 0x0, 0x5, 0x6, 0x7, 0x4,
+                                       0x9, 0xa, 0xb, 0x8, 0xd, 0xe, 0xf, 0xc};
+
+    uint8x16_t v;
+    uint8x16_t w = vreinterpretq_u8_m128i(EncBlock);
+
+    // shift rows
+    w = vqtbl1q_u8(w, vld1q_u8(shift_rows));
+
+    // sub bytes
+    v = vqtbl4q_u8(vld1q_u8_x4(crypto_aes_sbox), w);
+    v = vqtbx4q_u8(v, vld1q_u8_x4(crypto_aes_sbox + 0x40), w - 0x40);
+    v = vqtbx4q_u8(v, vld1q_u8_x4(crypto_aes_sbox + 0x80), w - 0x80);
+    v = vqtbx4q_u8(v, vld1q_u8_x4(crypto_aes_sbox + 0xc0), w - 0xc0);
+
+    // mix columns
+    w = (v << 1) ^ (uint8x16_t)(((int8x16_t)v >> 7) & 0x1b);
+    w ^= (uint8x16_t)vrev32q_u16((uint16x8_t)v);
+    w ^= vqtbl1q_u8(v ^ w, vld1q_u8(ror32by8));
+
+    //  add round key
+    return vreinterpretq_m128i_u8(w) ^ RoundKey;
+}
+#elif defined(__ARM_FEATURE_CRYPTO)
+// Implements equivalent of 'aesenc' by combining AESE (with an empty key) and
+// AESMC and then manually applying the real key as an xor operation This
+// unfortunately means an additional xor op; the compiler should be able to
+// optimise this away for repeated calls however See
+// https://blog.michaelbrase.com/2018/05/08/emulating-x86-aes-intrinsics-on-armv8-a
+// for more details.
+inline __m128i _mm_aesenc_si128(__m128i a, __m128i b) {
+    return vreinterpretq_m128i_u8(vaesmcq_u8(vaeseq_u8(vreinterpretq_u8_m128i(a), vdupq_n_u8(0))) ^
+                                  vreinterpretq_u8_m128i(b));
+}
+#endif
+
+// ******************************************
+// Streaming Extensions
+// ******************************************
+
+// Guarantees that every preceding store is globally visible before any
+// subsequent store.
+// https://msdn.microsoft.com/en-us/library/5h2w73d1%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_sfence(void) {
+    __sync_synchronize();
+}
+
+// Stores the data in a to the address p without polluting the caches.  If the
+// cache line containing address p is already in the cache, the cache will be
+// updated.Address p must be 16 - byte aligned.
+// https://msdn.microsoft.com/en-us/library/ba08y07y%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_stream_si128(__m128i* p, __m128i a) {
+    vst1q_s64((int64_t*)p, vreinterpretq_s64_m128i(a)); //NOLINT
+}
+
+// Cache line containing p is flushed and invalidated from all caches in the
+// coherency domain. :
+// https://msdn.microsoft.com/en-us/library/ba08y07y(v=vs.100).aspx
+FORCE_INLINE void _mm_clflush(void const* p) {
+    (void)p;
+    // no corollary for Neon?
+}
+
+#if defined(__GNUC__) || defined(__clang__)
+#pragma pop_macro("ALIGN_STRUCT")
+#pragma pop_macro("FORCE_INLINE")
+#endif
+
+#endif
\ No newline at end of file
diff --git a/fe/fe-core/src/main/java/org/apache/doris/catalog/FunctionSet.java b/fe/fe-core/src/main/java/org/apache/doris/catalog/FunctionSet.java
index b5740d1..0f63e92 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/catalog/FunctionSet.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/catalog/FunctionSet.java
@@ -158,6 +158,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                     //     "3minIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                     .put(Type.VARCHAR,
                             "8max_initIN9doris_udf9StringValEEEvPNS2_15FunctionContextEPT_")
+                    .put(Type.STRING,
+                            "8max_initIN9doris_udf9StringValEEEvPNS2_15FunctionContextEPT_")
                     .put(Type.DATE,
                             "8max_initIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextEPT_")
                     .put(Type.DATETIME,
@@ -188,6 +190,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                //     "3minIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.VARCHAR,
                     "3minIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
+                .put(Type.STRING,
+                    "3minIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.DATE,
                     "3minIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.DATETIME,
@@ -218,6 +222,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //    "3maxIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.VARCHAR,
                         "3maxIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
+                .put(Type.STRING,
+                        "3maxIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.DATE,
                     "3maxIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.DATETIME,
@@ -503,6 +509,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //    "10hll_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS3_")
                 .put(Type.VARCHAR,
                     "10hll_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS3_")
+                .put(Type.STRING,
+                    "10hll_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS3_")
                 .put(Type.DATE,
                     "10hll_updateIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextERKT_PNS2_9StringValE")
                 .put(Type.DATETIME,
@@ -518,6 +526,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
         ImmutableMap.<Type, String>builder()
                 .put(Type.VARCHAR,
                         "_ZN5doris12HllFunctions9hll_mergeEPN9doris_udf15FunctionContextERKNS1_9StringValEPS4_")
+                .put(Type.STRING,
+                        "_ZN5doris12HllFunctions9hll_mergeEPN9doris_udf15FunctionContextERKNS1_9StringValEPS4_")
                 .put(Type.HLL,
                         "_ZN5doris12HllFunctions9hll_mergeEPN9doris_udf15FunctionContextERKNS1_9StringValEPS4_")
                 .build();
@@ -548,6 +558,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //     "14offset_fn_initIN9doris_udf9StringValEEEvPNS2_15FunctionContextEPT_")
                 .put(Type.VARCHAR,
                      "14offset_fn_initIN9doris_udf9StringValEEEvPNS2_15FunctionContextEPT_")
+                .put(Type.STRING,
+                     "14offset_fn_initIN9doris_udf9StringValEEEvPNS2_15FunctionContextEPT_")
                 .put(Type.LARGEINT,
                      "14offset_fn_initIN9doris_udf11LargeIntValEEEvPNS2_15FunctionContextEPT_")
 
@@ -583,6 +595,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //     "16offset_fn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_9BigIntValES8_PS6_")
                 .put(Type.VARCHAR,
                      "16offset_fn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_9BigIntValES8_PS6_")
+                .put(Type.STRING,
+                     "16offset_fn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_9BigIntValES8_PS6_")
                 .put(Type.LARGEINT,
                      "16offset_fn_updateIN9doris_udf11LargeIntValEEEvPNS2_15"
                      + "FunctionContextERKT_RKNS2_9BigIntValES8_PS6_")
@@ -614,6 +628,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //     "15last_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.VARCHAR,
                      "15last_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
+                .put(Type.STRING,
+                     "15last_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.LARGEINT,
                      "15last_val_updateIN9doris_udf11LargeIntValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .build();
@@ -651,6 +667,9 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 .put(Type.VARCHAR,
                      "24first_val_rewrite_updateIN9doris_udf9StringValEEEvPNS2_15"
                      + "FunctionContextERKT_RKNS2_9BigIntValEPS6_")
+                .put(Type.STRING,
+                     "24first_val_rewrite_updateIN9doris_udf9StringValEEEvPNS2_15"
+                     + "FunctionContextERKT_RKNS2_9BigIntValEPS6_")
                 .put(Type.LARGEINT,
                      "24first_val_rewrite_updateIN9doris_udf11LargeIntValEEEvPNS2_15"
                      + "FunctionContextERKT_RKNS2_9BigIntValEPS6_")
@@ -684,6 +703,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //     "15last_val_removeIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.VARCHAR,
                      "15last_val_removeIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
+                .put(Type.STRING,
+                     "15last_val_removeIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.LARGEINT,
                      "15last_val_removeIN9doris_udf11LargeIntValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .build();
@@ -714,6 +735,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                 //     "16first_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.VARCHAR,
                      "16first_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
+                .put(Type.STRING,
+                     "16first_val_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_PS6_")
                 .put(Type.LARGEINT,
                      "16first_val_updateIN9doris_udf11LargeIntValEEEvPNS2_15FunctionContextERKT_PS6_")
 
@@ -763,6 +786,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris15BitmapFunctions21bitmap_intersect_initINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextEPS4_")
                     .put(Type.VARCHAR,
                             "_ZN5doris15BitmapFunctions21bitmap_intersect_initINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextEPS4_")
+                    .put(Type.STRING,
+                            "_ZN5doris15BitmapFunctions21bitmap_intersect_initINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextEPS4_")
                     .build();
 
     private static final Map<Type, String> BITMAP_INTERSECT_UPDATE_SYMBOL =
@@ -791,6 +816,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris15BitmapFunctions23bitmap_intersect_updateINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextERKS4_RKT0_iPSA_PS7_")
                     .put(Type.VARCHAR,
                             "_ZN5doris15BitmapFunctions23bitmap_intersect_updateINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextERKS4_RKT0_iPSA_PS7_")
+                    .put(Type.STRING,
+                            "_ZN5doris15BitmapFunctions23bitmap_intersect_updateINS_11StringValueEN9doris_udf9StringValEEEvPNS3_15FunctionContextERKS4_RKT0_iPSA_PS7_")
                     .build();
 
     private static final Map<Type, String> BITMAP_INTERSECT_MERGE_SYMBOL =
@@ -819,6 +846,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris15BitmapFunctions22bitmap_intersect_mergeINS_11StringValueEEEvPN9doris_udf15FunctionContextERKNS3_9StringValEPS7_")
                     .put(Type.VARCHAR,
                             "_ZN5doris15BitmapFunctions22bitmap_intersect_mergeINS_11StringValueEEEvPN9doris_udf15FunctionContextERKNS3_9StringValEPS7_")
+                    .put(Type.STRING,
+                            "_ZN5doris15BitmapFunctions22bitmap_intersect_mergeINS_11StringValueEEEvPN9doris_udf15FunctionContextERKNS3_9StringValEPS7_")
                     .build();
 
     private static final Map<Type, String> BITMAP_INTERSECT_SERIALIZE_SYMBOL =
@@ -847,6 +876,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris15BitmapFunctions26bitmap_intersect_serializeINS_11StringValueEEEN9doris_udf9StringValEPNS3_15FunctionContextERKS4_")
                     .put(Type.VARCHAR,
                             "_ZN5doris15BitmapFunctions26bitmap_intersect_serializeINS_11StringValueEEEN9doris_udf9StringValEPNS3_15FunctionContextERKS4_")
+                     .put(Type.STRING,
+                            "_ZN5doris15BitmapFunctions26bitmap_intersect_serializeINS_11StringValueEEEN9doris_udf9StringValEPNS3_15FunctionContextERKS4_")
                     .build();
 
     private static final Map<Type, String> BITMAP_INTERSECT_FINALIZE_SYMBOL =
@@ -875,6 +906,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris15BitmapFunctions25bitmap_intersect_finalizeINS_11StringValueEEEN9doris_udf9BigIntValEPNS3_15FunctionContextERKNS3_9StringValE")
                     .put(Type.VARCHAR,
                             "_ZN5doris15BitmapFunctions25bitmap_intersect_finalizeINS_11StringValueEEEN9doris_udf9BigIntValEPNS3_15FunctionContextERKNS3_9StringValE")
+                    .put(Type.STRING,
+                            "_ZN5doris15BitmapFunctions25bitmap_intersect_finalizeINS_11StringValueEEEN9doris_udf9BigIntValEPNS3_15FunctionContextERKNS3_9StringValE")
                     .build();
 
     private static final Map<Type, String> TOPN_UPDATE_SYMBOL =
@@ -897,6 +930,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValEPS3_")
                     .put(Type.VARCHAR,
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValEPS3_")
+                    .put(Type.STRING,
+                            "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValEPS3_")
                     .put(Type.DATE,
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValEPNS2_9StringValE")
                     .put(Type.DATETIME,
@@ -927,6 +962,8 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValESB_PS3_")
                     .put(Type.VARCHAR,
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValESB_PS3_")
+                    .put(Type.STRING,
+                            "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf9StringValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValESB_PS3_")
                     .put(Type.DATE,
                             "_ZN5doris13TopNFunctions11topn_updateIN9doris_udf11DateTimeValEEEvPNS2_15FunctionContextERKT_RKNS2_6IntValESB_PNS2_9StringValE")
                     .put(Type.DATETIME,
@@ -1189,6 +1226,30 @@ public class FunctionSet<min_initIN9doris_udf12DecimalV2ValEEEvPNS2_15FunctionCo
                     null,
                     prefix + "",
                     false, true, true, true));
+            } else if (t.equals(Type.STRING)) {
+                addBuiltin(AggregateFunction.createBuiltin("multi_distinct_count", Lists.newArrayList(t),
+                        Type.BIGINT,
+                        Type.STRING,
+                        prefix + "26count_distinct_string_initEPN9doris_udf15FunctionContextEPNS1_9StringValE",
+                        prefix + "28count_distinct_string_updateEPN9doris_udf15FunctionContextERNS1_9StringValEPS4_",
+                        prefix + "27count_distinct_string_mergeEPN9doris_udf15FunctionContextERNS1_9StringValEPS4_",
+                        prefix + "31count_distinct_string_serializeEPN9doris_udf15FunctionContextERKNS1_9StringValE",
+                        null,
+                        null,
+                        prefix + "30count_distinct_string_finalizeEPN9doris_udf15FunctionContextERKNS1_9StringValE",
+                        false, true, true));
+                // vectorized
+                addBuiltin(AggregateFunction.createBuiltin("multi_distinct_count", Lists.newArrayList(t),
+                        Type.BIGINT,
+                        Type.STRING,
+                        prefix + "",
+                        prefix + "",
+                        prefix + "",
+                        prefix + "",
+                        null,
+                        null,
+                        prefix + "",
+                        false, true, true, true));
             } else if (t.equals(Type.TINYINT) || t.equals(Type.SMALLINT) || t.equals(Type.INT)
                     || t.equals(Type.BIGINT) || t.equals(Type.LARGEINT) || t.equals(Type.DOUBLE)) {
                addBuiltin(AggregateFunction.createBuiltin("multi_distinct_count", Lists.newArrayList(t),
diff --git a/fe/fe-core/src/main/java/org/apache/doris/catalog/Type.java b/fe/fe-core/src/main/java/org/apache/doris/catalog/Type.java
index 03e5b5c..5bc130e 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/catalog/Type.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/catalog/Type.java
@@ -1010,9 +1010,14 @@ public abstract class Type {
         }
 
         // Following logical is compatible with MySQL.
-        if ((t1ResultType == PrimitiveType.VARCHAR && t2ResultType == PrimitiveType.VARCHAR)) {
+        if (t1ResultType == PrimitiveType.VARCHAR && t2ResultType == PrimitiveType.VARCHAR) {
             return Type.VARCHAR; 
         }
+        if ((t1ResultType == PrimitiveType.STRING && t2ResultType == PrimitiveType.STRING)
+                || (t1ResultType == PrimitiveType.STRING && t2ResultType == PrimitiveType.VARCHAR)
+                || (t1ResultType == PrimitiveType.VARCHAR && t2ResultType == PrimitiveType.STRING)) {
+            return Type.STRING;
+        }
         if (t1ResultType == PrimitiveType.BIGINT && t2ResultType == PrimitiveType.BIGINT) {
             return getAssignmentCompatibleType(t1, t2, false);
         }
diff --git a/gensrc/script/doris_builtins_functions.py b/gensrc/script/doris_builtins_functions.py
index 82536b3..032b7ad 100755
--- a/gensrc/script/doris_builtins_functions.py
+++ b/gensrc/script/doris_builtins_functions.py
@@ -134,6 +134,9 @@ visible_functions = [
     [['unix_timestamp'], 'INT', ['VARCHAR', 'VARCHAR'],
         '_ZN5doris18TimestampFunctions7to_unixEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
         '', '', '', 'ALWAYS_NULLABLE'],
+    [['unix_timestamp'], 'INT', ['STRING', 'STRING'],
+        '_ZN5doris18TimestampFunctions7to_unixEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '', '', '', 'ALWAYS_NULLABLE'],
     [['from_unixtime'], 'VARCHAR', ['INT'],
         '_ZN5doris18TimestampFunctions9from_unixEPN9doris_udf15FunctionContextERKNS1_6IntValE',
         '', '', 'vec', ''],
@@ -144,6 +147,13 @@ visible_functions = [
         '15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris18TimestampFunctions12format_closeEPN9doris_udf'
         '15FunctionContextENS2_18FunctionStateScopeE', 'vec', ''],
+    [['from_unixtime'], 'VARCHAR', ['INT', 'STRING'],
+        '_ZN5doris18TimestampFunctions9from_unixEPN9doris_udf'
+        '15FunctionContextERKNS1_6IntValERKNS1_9StringValE',
+        '_ZN5doris18TimestampFunctions14format_prepareEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris18TimestampFunctions12format_closeEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE', 'vec', ''],
     [['now', 'current_timestamp', 'localtime', 'localtimestamp'], 'DATETIME', [],
         '_ZN5doris18TimestampFunctions3nowEPN9doris_udf15FunctionContextE',
         '', '', '', 'ALWAYS_NOT_NULLABLE'],
@@ -288,6 +298,9 @@ visible_functions = [
     [['str_to_date'], 'DATETIME', ['VARCHAR', 'VARCHAR'],
         '_ZN5doris18TimestampFunctions11str_to_dateEPN9doris_udf'
         '15FunctionContextERKNS1_9StringValES6_', '', '', 'vec', 'ALWAYS_NULLABLE'],
+    [['str_to_date'], 'DATETIME', ['STRING', 'STRING'],
+        '_ZN5doris18TimestampFunctions11str_to_dateEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValES6_', '', '', 'vec', 'ALWAYS_NULLABLE'],
     [['date_format'], 'VARCHAR', ['DATETIME', 'VARCHAR'],
         '_ZN5doris18TimestampFunctions11date_formatEPN9doris_udf'
         '15FunctionContextERKNS1_11DateTimeValERKNS1_9StringValE',
@@ -302,6 +315,20 @@ visible_functions = [
         '15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris18TimestampFunctions12format_closeEPN9doris_udf'
         '15FunctionContextENS2_18FunctionStateScopeE', 'vec', ''],
+    [['date_format'], 'VARCHAR', ['DATETIME', 'STRING'],
+        '_ZN5doris18TimestampFunctions11date_formatEPN9doris_udf'
+        '15FunctionContextERKNS1_11DateTimeValERKNS1_9StringValE',
+        '_ZN5doris18TimestampFunctions14format_prepareEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris18TimestampFunctions12format_closeEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE', 'vec', ''],
+    [['date_format'], 'VARCHAR', ['DATE', 'STRING'],
+        '_ZN5doris18TimestampFunctions11date_formatEPN9doris_udf'
+        '15FunctionContextERKNS1_11DateTimeValERKNS1_9StringValE',
+        '_ZN5doris18TimestampFunctions14format_prepareEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris18TimestampFunctions12format_closeEPN9doris_udf'
+        '15FunctionContextENS2_18FunctionStateScopeE', 'vec', ''],
     [['date', 'to_date'], 'DATE', ['DATETIME'],
         '_ZN5doris18TimestampFunctions7to_dateEPN9doris_udf15FunctionContextERKNS1_11DateTimeValE',
         '', '', 'vec', ''],
@@ -318,6 +345,11 @@ visible_functions = [
             '_ZN5doris18TimestampFunctions18convert_tz_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
             '_ZN5doris18TimestampFunctions16convert_tz_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
             'vec', 'ALWAYS_NULLABLE'],
+    [['convert_tz'], 'DATETIME', ['DATETIME', 'STRING', 'STRING'],
+            '_ZN5doris18TimestampFunctions10convert_tzEPN9doris_udf15FunctionContextERKNS1_11DateTimeValERKNS1_9StringValES9_',
+            '_ZN5doris18TimestampFunctions18convert_tz_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+            '_ZN5doris18TimestampFunctions16convert_tz_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+            'vec', 'ALWAYS_NULLABLE'],
 
     [['years_diff'], 'BIGINT', ['DATETIME', 'DATETIME'],
             '_ZN5doris18TimestampFunctions10years_diffEPN9doris_udf15FunctionContextERKNS1_11DateTimeValES6_',
@@ -602,8 +634,12 @@ visible_functions = [
             '_ZN5doris13MathFunctions7hex_intEPN9doris_udf15FunctionContextERKNS1_9BigIntValE', '', '', '', ''],
     [['hex'], 'VARCHAR', ['VARCHAR'],
             '_ZN5doris13MathFunctions10hex_stringEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
+    [['hex'], 'STRING', ['STRING'],
+            '_ZN5doris13MathFunctions10hex_stringEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
     [['unhex'], 'VARCHAR', ['VARCHAR'],
             '_ZN5doris13MathFunctions5unhexEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
+    [['unhex'], 'STRING', ['STRING'],
+            '_ZN5doris13MathFunctions5unhexEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
 
     [['conv'], 'VARCHAR', ['BIGINT', 'TINYINT', 'TINYINT'],
             '_ZN5doris13MathFunctions8conv_intEPN9doris_udf'
@@ -611,6 +647,9 @@ visible_functions = [
     [['conv'], 'VARCHAR', ['VARCHAR', 'TINYINT', 'TINYINT'],
             '_ZN5doris13MathFunctions11conv_stringEPN9doris_udf'
             '15FunctionContextERKNS1_9StringValERKNS1_10TinyIntValES9_', '', '', '', ''],
+    [['conv'], 'VARCHAR', ['STRING', 'TINYINT', 'TINYINT'],
+            '_ZN5doris13MathFunctions11conv_stringEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValERKNS1_10TinyIntValES9_', '', '', '', ''],
 
     [['pmod'], 'BIGINT', ['BIGINT', 'BIGINT'],
             '_ZN5doris13MathFunctions11pmod_bigintEPN9doris_udf'
@@ -692,6 +731,9 @@ visible_functions = [
     [['least'], 'VARCHAR', ['VARCHAR', '...'],
             '_ZN5doris13MathFunctions5leastEPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
             '', '', '', ''],
+    [['least'], 'STRING', ['STRING', '...'],
+            '_ZN5doris13MathFunctions5leastEPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
+            '', '', '', ''],
 
     [['greatest'], 'TINYINT', ['TINYINT', '...'],
             '_ZN5doris13MathFunctions8greatestEPN9doris_udf15FunctionContextEiPKNS1_10TinyIntValE',
@@ -723,6 +765,9 @@ visible_functions = [
     [['greatest'], 'VARCHAR', ['VARCHAR', '...'],
             '_ZN5doris13MathFunctions8greatestEPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
             '', '', '', ''],
+    [['greatest'], 'STRING', ['STRING', '...'],
+            '_ZN5doris13MathFunctions8greatestEPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
+            '', '', '', ''],
 
     # Conditional Functions
     # Some of these have empty symbols because the BE special-cases them based on the
@@ -741,6 +786,7 @@ visible_functions = [
     [['if'], 'BITMAP', ['BOOLEAN', 'BITMAP', 'BITMAP'], '', '', '', 'vec', 'CUSTOM'],
     # The priority of varchar should be lower than decimal in IS_SUPERTYPE_OF mode.
     [['if'], 'VARCHAR', ['BOOLEAN', 'VARCHAR', 'VARCHAR'], '', '', '', 'vec', 'CUSTOM'],
+    [['if'], 'STRING', ['BOOLEAN', 'STRING', 'STRING'], '', '', '', 'vec', 'CUSTOM'],
 
     [['nullif'], 'BOOLEAN', ['BOOLEAN', 'BOOLEAN'], '', '', '', 'vec', 'ALWAYS_NULLABLE'],
     [['nullif'], 'TINYINT', ['TINYINT', 'TINYINT'], '', '', '', 'vec', 'ALWAYS_NULLABLE'],
@@ -755,6 +801,7 @@ visible_functions = [
     [['nullif'], 'DECIMALV2', ['DECIMALV2', 'DECIMALV2'], '', '', '', 'vec', 'ALWAYS_NULLABLE'],
     # The priority of varchar should be lower than decimal in IS_SUPERTYPE_OF mode.
     [['nullif'], 'VARCHAR', ['VARCHAR', 'VARCHAR'], '', '', '', 'vec', 'ALWAYS_NULLABLE'],
+    [['nullif'], 'STRING', ['STRING', 'STRING'], '', '', '', 'vec', 'ALWAYS_NULLABLE'],
 
     [['ifnull'], 'BOOLEAN', ['BOOLEAN', 'BOOLEAN'], '', '', '', 'vec', 'CUSTOM'],
     [['ifnull'], 'TINYINT', ['TINYINT', 'TINYINT'], '', '', '', 'vec', 'CUSTOM'],
@@ -772,6 +819,7 @@ visible_functions = [
     [['ifnull'], 'BITMAP', ['BITMAP', 'BITMAP'], '', '', '', 'vec', 'CUSTOM'],
     # The priority of varchar should be lower than decimal in IS_SUPERTYPE_OF mode.
     [['ifnull'], 'VARCHAR', ['VARCHAR', 'VARCHAR'], '', '', '', 'vec', 'CUSTOM'],
+    [['ifnull'], 'STRING', ['STRING', 'STRING'], '', '', '', 'vec', 'CUSTOM'],
 
     [['coalesce'], 'BOOLEAN', ['BOOLEAN', '...'], '', '', '', '', 'CUSTOM'],
     [['coalesce'], 'TINYINT', ['TINYINT', '...'], '', '', '', '', 'CUSTOM'],
@@ -787,6 +835,7 @@ visible_functions = [
     [['coalesce'], 'BITMAP', ['BITMAP', '...'], '', '', '', '', 'CUSTOM'],
     # The priority of varchar should be lower than decimal in IS_SUPERTYPE_OF mode.
     [['coalesce'], 'VARCHAR', ['VARCHAR', '...'], '', '', '', '', 'CUSTOM'],
+    [['coalesce'], 'STRING', ['STRING', '...'], '', '', '', '', 'CUSTOM'],
 
     [['esquery'], 'BOOLEAN', ['VARCHAR', 'VARCHAR'],
         '_ZN5doris11ESFunctions5matchEPN'
@@ -914,6 +963,128 @@ visible_functions = [
         '_ZN5doris15StringFunctions10split_partEPN9doris_udf15FunctionContextERKNS1_9StringValES6_RKNS1_6IntValE',
         '', '', '', ''],
 
+    # Longtext function
+    [['substr', 'substring'], 'STRING', ['STRING', 'INT'],
+        '_ZN5doris15StringFunctions9substringEPN'
+        '9doris_udf15FunctionContextERKNS1_9StringValERKNS1_6IntValE', '', '', '', 'ALWAYS_NULLABLE'],
+    [['substr', 'substring'], 'STRING', ['STRING', 'INT', 'INT'],
+        '_ZN5doris15StringFunctions9substringEPN'
+        '9doris_udf15FunctionContextERKNS1_9StringValERKNS1_6IntValES9_', '', '', 'vec', 'ALWAYS_NULLABLE'],
+    [['strleft', 'left'], 'STRING', ['STRING', 'INT'],
+        '_ZN5doris15StringFunctions4leftEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValERKNS1_6IntValE', '', '', 'vec', ''],
+    [['strright', 'right'], 'STRING', ['STRING', 'INT'],
+        '_ZN5doris15StringFunctions5rightEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValERKNS1_6IntValE', '', '', 'vec', ''],
+    [['ends_with'], 'BOOLEAN', ['STRING', 'STRING'],
+        '_ZN5doris15StringFunctions9ends_withEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '', '', 'vec', ''],
+    [['starts_with'], 'BOOLEAN', ['STRING', 'STRING'],
+        '_ZN5doris15StringFunctions11starts_withEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '', '', 'vec', ''],
+    [['null_or_empty'], 'BOOLEAN', ['STRING'],
+        '_ZN5doris15StringFunctions13null_or_emptyEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', 'ALWAYS_NOT_NULLABLE'],
+    [['space'], 'STRING', ['INT'],
+        '_ZN5doris15StringFunctions5spaceEPN9doris_udf15FunctionContextERKNS1_6IntValE', '', '', 'vec', ''],
+    [['repeat'], 'STRING', ['STRING', 'INT'],
+        '_ZN5doris15StringFunctions6repeatEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValERKNS1_6IntValE', '', '', 'vec', ''],
+    [['lpad'], 'STRING', ['STRING', 'INT', 'STRING'],
+            '_ZN5doris15StringFunctions4lpadEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValERKNS1_6IntValES6_', '', '', 'vec', ''],
+    [['rpad'], 'STRING', ['STRING', 'INT', 'STRING'],
+            '_ZN5doris15StringFunctions4rpadEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValERKNS1_6IntValES6_', '', '', 'vec', ''],
+    [['append_trailing_char_if_absent'], 'STRING', ['STRING', 'STRING'],
+	        '_ZN5doris15StringFunctions30append_trailing_char_if_absentEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+	        '', '', 'vec', 'ALWAYS_NULLABLE'],
+    [['length'], 'INT', ['STRING'],
+            '_ZN5doris15StringFunctions6lengthEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+            '', '', 'vec', ''],
+    [['bit_length'], 'INT', ['STRING'],
+            '_ZN5doris15StringFunctions10bit_lengthEPN9doris_udf15FunctionContextERKNS1_9StringValE','', '', 'vec', ''],
+
+    [['char_length', 'character_length'], 'INT', ['STRING'],
+            '_ZN5doris15StringFunctions16char_utf8_lengthEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+            '', '', 'vec', ''],
+    [['lower', 'lcase'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions5lowerEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['upper', 'ucase'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions5upperEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['reverse'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions7reverseEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['trim'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions4trimEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['ltrim'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions5ltrimEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['rtrim'], 'STRING', ['STRING'],
+            '_ZN5doris15StringFunctions5rtrimEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['ascii'], 'INT', ['STRING'],
+            '_ZN5doris15StringFunctions5asciiEPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', 'vec', ''],
+    [['instr'], 'INT', ['STRING', 'STRING'],
+            '_ZN5doris15StringFunctions5instrEPN9doris_udf15FunctionContextERKNS1_9StringValES6_', '', '', 'vec', ''],
+    [['locate'], 'INT', ['STRING', 'STRING'],
+            '_ZN5doris15StringFunctions6locateEPN9doris_udf15FunctionContextERKNS1_9StringValES6_', '', '', 'vec', ''],
+    [['locate'], 'INT', ['STRING', 'STRING', 'INT'],
+            '_ZN5doris15StringFunctions10locate_posEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_RKNS1_6IntValE', '', '', 'vec', ''],
+    [['regexp_extract'], 'STRING', ['STRING', 'STRING', 'BIGINT'],
+            '_ZN5doris15StringFunctions14regexp_extractEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_RKNS1_9BigIntValE',
+            '_ZN5doris15StringFunctions14regexp_prepareEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE',
+            '_ZN5doris15StringFunctions12regexp_closeEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE', '', ''],
+    [['regexp_replace'], 'STRING', ['STRING', 'STRING', 'STRING'],
+            '_ZN5doris15StringFunctions14regexp_replaceEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_S6_',
+            '_ZN5doris15StringFunctions14regexp_prepareEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE',
+            '_ZN5doris15StringFunctions12regexp_closeEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE', '', ''],
+    [['concat'], 'STRING', ['STRING', '...'],
+            '_ZN5doris15StringFunctions6concatEPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
+            '', '', 'vec', ''],
+    [['replace'], 'STRING', ['STRING', 'STRING', 'STRING'],
+            '_ZN5doris15StringFunctions7replaceEPN9doris_udf15FunctionContextERKNS1_9StringValES6_S6_',
+            '', '', 'vec', ''],
+    [['concat_ws'], 'STRING', ['STRING', 'STRING', '...'],
+            '_ZN5doris15StringFunctions9concat_wsEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValEiPS5_', '', '', 'vec', 'CUSTOM'],
+    [['find_in_set'], 'INT', ['STRING', 'STRING'],
+            '_ZN5doris15StringFunctions11find_in_setEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_', '', '', 'vec', ''],
+    [['parse_url'], 'STRING', ['STRING', 'STRING'],
+            '_ZN5doris15StringFunctions9parse_urlEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_',
+            '_ZN5doris15StringFunctions17parse_url_prepareEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE',
+            '_ZN5doris15StringFunctions15parse_url_closeEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE', '', ''],
+    [['parse_url'], 'STRING', ['STRING', 'STRING', 'STRING'],
+            '_ZN5doris15StringFunctions13parse_url_keyEPN9doris_udf'
+            '15FunctionContextERKNS1_9StringValES6_S6_',
+            '_ZN5doris15StringFunctions17parse_url_prepareEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE',
+            '_ZN5doris15StringFunctions15parse_url_closeEPN9doris_udf'
+            '15FunctionContextENS2_18FunctionStateScopeE', '', ''],
+    [['money_format'], 'STRING', ['BIGINT'],
+        '_ZN5doris15StringFunctions12money_formatEPN9doris_udf15FunctionContextERKNS1_9BigIntValE',
+        '', '', '', ''],
+    [['money_format'], 'STRING', ['LARGEINT'],
+        '_ZN5doris15StringFunctions12money_formatEPN9doris_udf15FunctionContextERKNS1_11LargeIntValE',
+        '', '', '', ''],
+    [['money_format'], 'STRING', ['DOUBLE'],
+        '_ZN5doris15StringFunctions12money_formatEPN9doris_udf15FunctionContextERKNS1_9DoubleValE',
+        '', '', '', ''],
+    [['money_format'], 'STRING', ['DECIMALV2'],
+        '_ZN5doris15StringFunctions12money_formatEPN9doris_udf15FunctionContextERKNS1_12DecimalV2ValE',
+        '', '', '', ''],
+    [['split_part'], 'STRING', ['STRING', 'STRING', 'INT'],
+        '_ZN5doris15StringFunctions10split_partEPN9doris_udf15FunctionContextERKNS1_9StringValES6_RKNS1_6IntValE',
+        '', '', '', ''],
+
     # Utility functions
     [['sleep'], 'BOOLEAN', ['INT'],
         '_ZN5doris16UtilityFunctions5sleepEPN9doris_udf15FunctionContextERKNS1_6IntValE',
@@ -938,6 +1109,21 @@ visible_functions = [
         '_ZN5doris13JsonFunctions17json_path_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris13JsonFunctions15json_path_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         'vec', ''],
+    [['get_json_int'], 'INT', ['STRING', 'STRING'],
+        '_ZN5doris13JsonFunctions12get_json_intEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '_ZN5doris13JsonFunctions17json_path_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris13JsonFunctions15json_path_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        'vec', ''],
+    [['get_json_double'], 'DOUBLE', ['STRING', 'STRING'],
+        '_ZN5doris13JsonFunctions15get_json_doubleEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '_ZN5doris13JsonFunctions17json_path_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris13JsonFunctions15json_path_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        'vec', ''],
+    [['get_json_string'], 'STRING', ['STRING', 'STRING'],
+        '_ZN5doris13JsonFunctions15get_json_stringEPN9doris_udf15FunctionContextERKNS1_9StringValES6_',
+        '_ZN5doris13JsonFunctions17json_path_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris13JsonFunctions15json_path_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        'vec', ''],
 
     #hll function
     [['hll_cardinality'], 'BIGINT', ['VARCHAR'],
@@ -949,6 +1135,12 @@ visible_functions = [
     [['hll_empty'], 'HLL', [],
         '_ZN5doris12HllFunctions9hll_emptyEPN9doris_udf15FunctionContextE',
         '', '', 'vec', 'ALWAYS_NOT_NULLABLE'],
+    [['hll_cardinality'], 'BIGINT', ['STRING'],
+        '_ZN5doris12HllFunctions15hll_cardinalityEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', 'ALWAYS_NOT_NULLABLE'],
+    [['hll_hash'], 'HLL', ['STRING'],
+        '_ZN5doris12HllFunctions8hll_hashEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', 'ALWAYS_NOT_NULLABLE'],
 
     #bitmap function
 
@@ -958,6 +1150,12 @@ visible_functions = [
     [['bitmap_hash'], 'BITMAP', ['VARCHAR'],
         '_ZN5doris15BitmapFunctions11bitmap_hashEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '', '', 'vec', ''],
+    [['to_bitmap'], 'BITMAP', ['STRING'],
+        '_ZN5doris15BitmapFunctions9to_bitmapEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', ''],
+    [['bitmap_hash'], 'BITMAP', ['STRING'],
+        '_ZN5doris15BitmapFunctions11bitmap_hashEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', ''],
     [['bitmap_count'], 'BIGINT', ['BITMAP'],
         '_ZN5doris15BitmapFunctions12bitmap_countEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '', '', 'vec', ''],
@@ -982,6 +1180,9 @@ visible_functions = [
     [['bitmap_from_string'], 'BITMAP', ['VARCHAR'],
         '_ZN5doris15BitmapFunctions18bitmap_from_stringEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '', '', 'vec', ''],
+    [['bitmap_from_string'], 'BITMAP', ['STRING'],
+        '_ZN5doris15BitmapFunctions18bitmap_from_stringEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', 'vec', ''],
     [['bitmap_contains'], 'BOOLEAN', ['BITMAP','BIGINT'],
         '_ZN5doris15BitmapFunctions15bitmap_containsEPN9doris_udf15FunctionContextERKNS1_9StringValERKNS1_9BigIntValE',
         '', '', 'vec', ''],
@@ -996,6 +1197,9 @@ visible_functions = [
     [['murmur_hash3_32'], 'INT', ['VARCHAR', '...'],
         '_ZN5doris13HashFunctions15murmur_hash3_32EPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
         '', '', '', ''],
+    [['murmur_hash3_32'], 'INT', ['STRING', '...'],
+        '_ZN5doris13HashFunctions15murmur_hash3_32EPN9doris_udf15FunctionContextEiPKNS1_9StringValE',
+        '', '', '', ''],
 
     # aes and base64 function
     [['aes_encrypt'], 'VARCHAR', ['VARCHAR', 'VARCHAR'],
@@ -1010,11 +1214,27 @@ visible_functions = [
     [['to_base64'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris19EncryptionFunctions9to_base64EPN9doris_udf'
         '15FunctionContextERKNS1_9StringValE', '', '', '', ''],
+      [['aes_encrypt'], 'STRING', ['STRING', 'STRING'],
+        '_ZN5doris19EncryptionFunctions11aes_encryptEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValES6_', '', '', '', ''],
+    [['aes_decrypt'], 'STRING', ['STRING', 'STRING'],
+        '_ZN5doris19EncryptionFunctions11aes_decryptEPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValES6_', '', '', '', ''],
+    [['from_base64'], 'STRING', ['STRING'],
+        '_ZN5doris19EncryptionFunctions11from_base64EPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValE', '', '', '', ''],
+    [['to_base64'], 'STRING', ['STRING'],
+        '_ZN5doris19EncryptionFunctions9to_base64EPN9doris_udf'
+        '15FunctionContextERKNS1_9StringValE', '', '', '', ''],
     # for compatable with MySQL
     [['md5'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris19EncryptionFunctions3md5EPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
     [['md5sum'], 'VARCHAR', ['VARCHAR', '...'],
         '_ZN5doris19EncryptionFunctions6md5sumEPN9doris_udf15FunctionContextEiPKNS1_9StringValE', '', '', '', ''],
+    [['md5'], 'VARCHAR', ['STRING'],
+        '_ZN5doris19EncryptionFunctions3md5EPN9doris_udf15FunctionContextERKNS1_9StringValE', '', '', '', ''],
+    [['md5sum'], 'VARCHAR', ['STRING', '...'],
+        '_ZN5doris19EncryptionFunctions6md5sumEPN9doris_udf15FunctionContextEiPKNS1_9StringValE', '', '', '', ''],
 
     # geo functions
     [['ST_Point'], 'VARCHAR', ['DOUBLE', 'DOUBLE'],
@@ -1025,6 +1245,12 @@ visible_functions = [
     [['ST_Y'], 'DOUBLE', ['VARCHAR'],
         '_ZN5doris12GeoFunctions4st_yEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '', '', '', 'ALWAYS_NULLABLE'],
+    [['ST_X'], 'DOUBLE', ['STRING'],
+        '_ZN5doris12GeoFunctions4st_xEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', '', 'ALWAYS_NULLABLE'],
+    [['ST_Y'], 'DOUBLE', ['STRING'],
+        '_ZN5doris12GeoFunctions4st_yEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', '', 'ALWAYS_NULLABLE'],
 
     [['ST_Distance_Sphere'], 'DOUBLE', ['DOUBLE', 'DOUBLE', 'DOUBLE', 'DOUBLE'],
         '_ZN5doris12GeoFunctions18st_distance_sphereEPN9doris_udf15FunctionContextERKNS1_9DoubleValES6_S6_S6_',
@@ -1033,23 +1259,41 @@ visible_functions = [
     [['ST_AsText', 'ST_AsWKT'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris12GeoFunctions9st_as_wktEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '', '', '', 'ALWAYS_NULLABLE'],
+    [['ST_AsText', 'ST_AsWKT'], 'VARCHAR', ['STRING'],
+        '_ZN5doris12GeoFunctions9st_as_wktEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '', '', '', 'ALWAYS_NULLABLE'],
     [['ST_GeometryFromText', 'ST_GeomFromText'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris12GeoFunctions11st_from_wktEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '_ZN5doris12GeoFunctions19st_from_wkt_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '', 'ALWAYS_NULLABLE'],
+    [['ST_GeometryFromText', 'ST_GeomFromText'], 'VARCHAR', ['STRING'],
+        '_ZN5doris12GeoFunctions11st_from_wktEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '_ZN5doris12GeoFunctions19st_from_wkt_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '', 'ALWAYS_NULLABLE'],
 
     [['ST_LineFromText', 'ST_LineStringFromText'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris12GeoFunctions7st_lineEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '_ZN5doris12GeoFunctions15st_line_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '', 'ALWAYS_NULLABLE'],
+    [['ST_LineFromText', 'ST_LineStringFromText'], 'VARCHAR', ['STRING'],
+        '_ZN5doris12GeoFunctions7st_lineEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '_ZN5doris12GeoFunctions15st_line_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '', 'ALWAYS_NULLABLE'],
 
     [['ST_Polygon', 'ST_PolyFromText', 'ST_PolygonFromText'], 'VARCHAR', ['VARCHAR'],
         '_ZN5doris12GeoFunctions10st_polygonEPN9doris_udf15FunctionContextERKNS1_9StringValE',
         '_ZN5doris12GeoFunctions18st_polygon_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
         '', 'ALWAYS_NULLABLE'],
+    [['ST_Polygon', 'ST_PolyFromText', 'ST_PolygonFromText'], 'VARCHAR', ['STRING'],
+        '_ZN5doris12GeoFunctions10st_polygonEPN9doris_udf15FunctionContextERKNS1_9StringValE',
+        '_ZN5doris12GeoFunctions18st_polygon_prepareEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '_ZN5doris12GeoFunctions17st_from_wkt_closeEPN9doris_udf15FunctionContextENS2_18FunctionStateScopeE',
+        '', 'ALWAYS_NULLABLE'],
 
     [['ST_Circle'], 'VARCHAR', ['DOUBLE', 'DOUBLE', 'DOUBLE'],
         '_ZN5doris12GeoFunctions9st_circleEPN9doris_udf15FunctionContextERKNS1_9DoubleValES6_S6_',

---------------------------------------------------------------------
To unsubscribe, e-mail: commits-unsubscribe@doris.apache.org
For additional commands, e-mail: commits-help@doris.apache.org