src/opts/SkNx_sse.h

/*
 * Copyright 2015 Google Inc.
 *
 * Use of this source code is governed by a BSD-style license that can be
 * found in the LICENSE file.
 */

#ifndef SkNx_sse_DEFINED
#define SkNx_sse_DEFINED

#include <immintrin.h>

// This file may assume <= SSE2, but must check SK_CPU_SSE_LEVEL for anything more recent.
// If you do, make sure this is in a static inline function... anywhere else risks violating ODR.

namespace {

template <>
class SkNx<2, float> {
public:
    AI SkNx(const __m128& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(float val) : fVec(_mm_set1_ps(val)) {}
    AI static SkNx Load(const void* ptr) {
        return _mm_castsi128_ps(_mm_loadl_epi64((const __m128i*)ptr));
    }
    AI SkNx(float a, float b) : fVec(_mm_setr_ps(a,b,0,0)) {}

    AI void store(void* ptr) const { _mm_storel_pi((__m64*)ptr, fVec); }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_ps(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_ps(fVec, o.fVec); }
    AI SkNx operator * (const SkNx& o) const { return _mm_mul_ps(fVec, o.fVec); }
    AI SkNx operator / (const SkNx& o) const { return _mm_div_ps(fVec, o.fVec); }

    AI SkNx operator == (const SkNx& o) const { return _mm_cmpeq_ps (fVec, o.fVec); }
    AI SkNx operator != (const SkNx& o) const { return _mm_cmpneq_ps(fVec, o.fVec); }
    AI SkNx operator  < (const SkNx& o) const { return _mm_cmplt_ps (fVec, o.fVec); }
    AI SkNx operator  > (const SkNx& o) const { return _mm_cmpgt_ps (fVec, o.fVec); }
    AI SkNx operator <= (const SkNx& o) const { return _mm_cmple_ps (fVec, o.fVec); }
    AI SkNx operator >= (const SkNx& o) const { return _mm_cmpge_ps (fVec, o.fVec); }

    AI static SkNx Min(const SkNx& l, const SkNx& r) { return _mm_min_ps(l.fVec, r.fVec); }
    AI static SkNx Max(const SkNx& l, const SkNx& r) { return _mm_max_ps(l.fVec, r.fVec); }

    AI SkNx   sqrt() const { return _mm_sqrt_ps (fVec);  }
    AI SkNx  rsqrt() const { return _mm_rsqrt_ps(fVec); }
    AI SkNx invert() const { return _mm_rcp_ps(fVec); }

    AI float operator[](int k) const {
        SkASSERT(0 <= k && k < 2);
        union { __m128 v; float fs[4]; } pun = {fVec};
        return pun.fs[k&1];
    }

    AI bool allTrue() const { return 0xff == (_mm_movemask_epi8(_mm_castps_si128(fVec)) & 0xff); }
    AI bool anyTrue() const { return 0x00 != (_mm_movemask_epi8(_mm_castps_si128(fVec)) & 0xff); }

    __m128 fVec;
};

template <>
class SkNx<4, float> {
public:
    AI SkNx(const __m128& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(float val)           : fVec( _mm_set1_ps(val) ) {}
    AI SkNx(float a, float b, float c, float d) : fVec(_mm_setr_ps(a,b,c,d)) {}

    AI static SkNx Load(const void* ptr) { return _mm_loadu_ps((const float*)ptr); }
    AI void store(void* ptr) const { _mm_storeu_ps((float*)ptr, fVec); }

    AI static void Load4(const void* ptr, SkNx* r, SkNx* g, SkNx* b, SkNx* a) {
        __m128 v0 = _mm_loadu_ps(((float*)ptr) +  0),
               v1 = _mm_loadu_ps(((float*)ptr) +  4),
               v2 = _mm_loadu_ps(((float*)ptr) +  8),
               v3 = _mm_loadu_ps(((float*)ptr) + 12);
        _MM_TRANSPOSE4_PS(v0, v1, v2, v3);
        *r = v0;
        *g = v1;
        *b = v2;
        *a = v3;
    }
    AI static void Store4(void* dst, const SkNx& r, const SkNx& g, const SkNx& b, const SkNx& a) {
        __m128 v0 = r.fVec,
               v1 = g.fVec,
               v2 = b.fVec,
               v3 = a.fVec;
        _MM_TRANSPOSE4_PS(v0, v1, v2, v3);
        _mm_storeu_ps(((float*) dst) +  0, v0);
        _mm_storeu_ps(((float*) dst) +  4, v1);
        _mm_storeu_ps(((float*) dst) +  8, v2);
        _mm_storeu_ps(((float*) dst) + 12, v3);
    }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_ps(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_ps(fVec, o.fVec); }
    AI SkNx operator * (const SkNx& o) const { return _mm_mul_ps(fVec, o.fVec); }
    AI SkNx operator / (const SkNx& o) const { return _mm_div_ps(fVec, o.fVec); }

    AI SkNx operator == (const SkNx& o) const { return _mm_cmpeq_ps (fVec, o.fVec); }
    AI SkNx operator != (const SkNx& o) const { return _mm_cmpneq_ps(fVec, o.fVec); }
    AI SkNx operator  < (const SkNx& o) const { return _mm_cmplt_ps (fVec, o.fVec); }
    AI SkNx operator  > (const SkNx& o) const { return _mm_cmpgt_ps (fVec, o.fVec); }
    AI SkNx operator <= (const SkNx& o) const { return _mm_cmple_ps (fVec, o.fVec); }
    AI SkNx operator >= (const SkNx& o) const { return _mm_cmpge_ps (fVec, o.fVec); }

    AI static SkNx Min(const SkNx& l, const SkNx& r) { return _mm_min_ps(l.fVec, r.fVec); }
    AI static SkNx Max(const SkNx& l, const SkNx& r) { return _mm_max_ps(l.fVec, r.fVec); }

    AI SkNx abs() const { return _mm_andnot_ps(_mm_set1_ps(-0.0f), fVec); }
    AI SkNx floor() const {
    #if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSE41
        return _mm_floor_ps(fVec);
    #else
        // Emulate _mm_floor_ps() with SSE2:
        //   - roundtrip through integers via truncation
        //   - subtract 1 if that's too big (possible for negative values).
        // This restricts the domain of our inputs to a maximum somehwere around 2^31.
        // Seems plenty big.
        __m128 roundtrip = _mm_cvtepi32_ps(_mm_cvttps_epi32(fVec));
        __m128 too_big = _mm_cmpgt_ps(roundtrip, fVec);
        return _mm_sub_ps(roundtrip, _mm_and_ps(too_big, _mm_set1_ps(1.0f)));
    #endif
    }

    AI SkNx   sqrt() const { return _mm_sqrt_ps (fVec);  }
    AI SkNx  rsqrt() const { return _mm_rsqrt_ps(fVec); }
    AI SkNx invert() const { return _mm_rcp_ps(fVec); }

    AI float operator[](int k) const {
        SkASSERT(0 <= k && k < 4);
        union { __m128 v; float fs[4]; } pun = {fVec};
        return pun.fs[k&3];
    }

    AI bool allTrue() const { return 0xffff == _mm_movemask_epi8(_mm_castps_si128(fVec)); }
    AI bool anyTrue() const { return 0x0000 != _mm_movemask_epi8(_mm_castps_si128(fVec)); }

    AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
    #if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSE41
        return _mm_blendv_ps(e.fVec, t.fVec, fVec);
    #else
        return _mm_or_ps(_mm_and_ps   (fVec, t.fVec),
                         _mm_andnot_ps(fVec, e.fVec));
    #endif
    }

    __m128 fVec;
};

template <>
class SkNx<4, int32_t> {
public:
    AI SkNx(const __m128i& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(int32_t val) : fVec(_mm_set1_epi32(val)) {}
    AI static SkNx Load(const void* ptr) { return _mm_loadu_si128((const __m128i*)ptr); }
    AI SkNx(int32_t a, int32_t b, int32_t c, int32_t d) : fVec(_mm_setr_epi32(a,b,c,d)) {}

    AI void store(void* ptr) const { _mm_storeu_si128((__m128i*)ptr, fVec); }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_epi32(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_epi32(fVec, o.fVec); }
    AI SkNx operator * (const SkNx& o) const {
        __m128i mul20 = _mm_mul_epu32(fVec, o.fVec),
                mul31 = _mm_mul_epu32(_mm_srli_si128(fVec, 4), _mm_srli_si128(o.fVec, 4));
        return _mm_unpacklo_epi32(_mm_shuffle_epi32(mul20, _MM_SHUFFLE(0,0,2,0)),
                                  _mm_shuffle_epi32(mul31, _MM_SHUFFLE(0,0,2,0)));
    }

    AI SkNx operator & (const SkNx& o) const { return _mm_and_si128(fVec, o.fVec); }
    AI SkNx operator | (const SkNx& o) const { return _mm_or_si128(fVec, o.fVec); }
    AI SkNx operator ^ (const SkNx& o) const { return _mm_xor_si128(fVec, o.fVec); }

    AI SkNx operator << (int bits) const { return _mm_slli_epi32(fVec, bits); }
    AI SkNx operator >> (int bits) const { return _mm_srai_epi32(fVec, bits); }

    AI SkNx operator == (const SkNx& o) const { return _mm_cmpeq_epi32 (fVec, o.fVec); }
    AI SkNx operator  < (const SkNx& o) const { return _mm_cmplt_epi32 (fVec, o.fVec); }
    AI SkNx operator  > (const SkNx& o) const { return _mm_cmpgt_epi32 (fVec, o.fVec); }

    AI int32_t operator[](int k) const {
        SkASSERT(0 <= k && k < 4);
        union { __m128i v; int32_t is[4]; } pun = {fVec};
        return pun.is[k&3];
    }

    AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
    #if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSE41
        return _mm_blendv_epi8(e.fVec, t.fVec, fVec);
    #else
        return _mm_or_si128(_mm_and_si128   (fVec, t.fVec),
                            _mm_andnot_si128(fVec, e.fVec));
    #endif
    }

    __m128i fVec;
};

template <>
class SkNx<4, uint32_t> {
public:
    AI SkNx(const __m128i& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(uint32_t val) : fVec(_mm_set1_epi32(val)) {}
    AI static SkNx Load(const void* ptr) { return _mm_loadu_si128((const __m128i*)ptr); }
    AI SkNx(uint32_t a, uint32_t b, uint32_t c, uint32_t d) : fVec(_mm_setr_epi32(a,b,c,d)) {}

    AI void store(void* ptr) const { _mm_storeu_si128((__m128i*)ptr, fVec); }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_epi32(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_epi32(fVec, o.fVec); }
    // Not quite sure how to best do operator * in SSE2.  We probably don't use it.

    AI SkNx operator & (const SkNx& o) const { return _mm_and_si128(fVec, o.fVec); }
    AI SkNx operator | (const SkNx& o) const { return _mm_or_si128(fVec, o.fVec); }
    AI SkNx operator ^ (const SkNx& o) const { return _mm_xor_si128(fVec, o.fVec); }

    AI SkNx operator << (int bits) const { return _mm_slli_epi32(fVec, bits); }
    AI SkNx operator >> (int bits) const { return _mm_srli_epi32(fVec, bits); }

    AI SkNx operator == (const SkNx& o) const { return _mm_cmpeq_epi32 (fVec, o.fVec); }
    // operator < and > take a little extra fiddling to make work for unsigned ints.

    AI uint32_t operator[](int k) const {
        SkASSERT(0 <= k && k < 4);
        union { __m128i v; uint32_t us[4]; } pun = {fVec};
        return pun.us[k&3];
    }

    AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
    #if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSE41
        return _mm_blendv_epi8(e.fVec, t.fVec, fVec);
    #else
        return _mm_or_si128(_mm_and_si128   (fVec, t.fVec),
                            _mm_andnot_si128(fVec, e.fVec));
    #endif
    }

    __m128i fVec;
};


template <>
class SkNx<4, uint16_t> {
public:
    AI SkNx(const __m128i& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(uint16_t val) : fVec(_mm_set1_epi16(val)) {}
    AI SkNx(uint16_t a, uint16_t b, uint16_t c, uint16_t d)
        : fVec(_mm_setr_epi16(a,b,c,d,0,0,0,0)) {}

    AI static SkNx Load(const void* ptr) { return _mm_loadl_epi64((const __m128i*)ptr); }
    AI void store(void* ptr) const { _mm_storel_epi64((__m128i*)ptr, fVec); }

    AI static void Load4(const void* ptr, SkNx* r, SkNx* g, SkNx* b, SkNx* a) {
        __m128i lo = _mm_loadu_si128(((__m128i*)ptr) + 0),
                hi = _mm_loadu_si128(((__m128i*)ptr) + 1);
        __m128i even = _mm_unpacklo_epi16(lo, hi),   // r0 r2 g0 g2 b0 b2 a0 a2
                 odd = _mm_unpackhi_epi16(lo, hi);   // r1 r3 ...
        __m128i rg = _mm_unpacklo_epi16(even, odd),  // r0 r1 r2 r3 g0 g1 g2 g3
                ba = _mm_unpackhi_epi16(even, odd);  // b0 b1 ...   a0 a1 ...
        *r = rg;
        *g = _mm_srli_si128(rg, 8);
        *b = ba;
        *a = _mm_srli_si128(ba, 8);
    }
    AI static void Load3(const void* ptr, SkNx* r, SkNx* g, SkNx* b) {
        // The idea here is to get 4 vectors that are R G B _ _ _ _ _.
        // The second load is at a funny location to make sure we don't read past
        // the bounds of memory.  This is fine, we just need to shift it a little bit.
        const uint8_t* ptr8 = (const uint8_t*) ptr;
        __m128i rgb0 = _mm_loadu_si128((const __m128i*) (ptr8 + 0));
        __m128i rgb1 = _mm_srli_si128(rgb0, 3*2);
        __m128i rgb2 = _mm_srli_si128(_mm_loadu_si128((const __m128i*) (ptr8 + 4*2)), 2*2);
        __m128i rgb3 = _mm_srli_si128(rgb2, 3*2);

        __m128i rrggbb01 = _mm_unpacklo_epi16(rgb0, rgb1);
        __m128i rrggbb23 = _mm_unpacklo_epi16(rgb2, rgb3);
        *r = _mm_unpacklo_epi32(rrggbb01, rrggbb23);
        *g = _mm_srli_si128(r->fVec, 4*2);
        *b = _mm_unpackhi_epi32(rrggbb01, rrggbb23);
    }
    AI static void Store4(void* dst, const SkNx& r, const SkNx& g, const SkNx& b, const SkNx& a) {
        __m128i rg = _mm_unpacklo_epi16(r.fVec, g.fVec);
        __m128i ba = _mm_unpacklo_epi16(b.fVec, a.fVec);
        __m128i lo = _mm_unpacklo_epi32(rg, ba);
        __m128i hi = _mm_unpackhi_epi32(rg, ba);
        _mm_storeu_si128(((__m128i*) dst) + 0, lo);
        _mm_storeu_si128(((__m128i*) dst) + 1, hi);
    }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_epi16(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_epi16(fVec, o.fVec); }
    AI SkNx operator * (const SkNx& o) const { return _mm_mullo_epi16(fVec, o.fVec); }
    AI SkNx operator & (const SkNx& o) const { return _mm_and_si128(fVec, o.fVec); }
    AI SkNx operator | (const SkNx& o) const { return _mm_or_si128(fVec, o.fVec); }

    AI SkNx operator << (int bits) const { return _mm_slli_epi16(fVec, bits); }
    AI SkNx operator >> (int bits) const { return _mm_srli_epi16(fVec, bits); }

    AI uint16_t operator[](int k) const {
        SkASSERT(0 <= k && k < 4);
        union { __m128i v; uint16_t us[8]; } pun = {fVec};
        return pun.us[k&3];
    }

    __m128i fVec;
};

template <>
class SkNx<8, uint16_t> {
public:
    AI SkNx(const __m128i& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(uint16_t val) : fVec(_mm_set1_epi16(val)) {}
    AI SkNx(uint16_t a, uint16_t b, uint16_t c, uint16_t d,
            uint16_t e, uint16_t f, uint16_t g, uint16_t h)
        : fVec(_mm_setr_epi16(a,b,c,d,e,f,g,h)) {}

    AI static SkNx Load(const void* ptr) { return _mm_loadu_si128((const __m128i*)ptr); }
    AI void store(void* ptr) const { _mm_storeu_si128((__m128i*)ptr, fVec); }

    AI static void Load4(const void* ptr, SkNx* r, SkNx* g, SkNx* b, SkNx* a) {
        // TODO: AVX2 version
        __m128i _01 = _mm_loadu_si128(((__m128i*)ptr) + 0),
                _23 = _mm_loadu_si128(((__m128i*)ptr) + 1),
                _45 = _mm_loadu_si128(((__m128i*)ptr) + 2),
                _67 = _mm_loadu_si128(((__m128i*)ptr) + 3);

        __m128i _02 = _mm_unpacklo_epi16(_01, _23),  // r0 r2 g0 g2 b0 b2 a0 a2
                _13 = _mm_unpackhi_epi16(_01, _23),  // r1 r3 g1 g3 b1 b3 a1 a3
                _46 = _mm_unpacklo_epi16(_45, _67),
                _57 = _mm_unpackhi_epi16(_45, _67);

        __m128i rg0123 = _mm_unpacklo_epi16(_02, _13),  // r0 r1 r2 r3 g0 g1 g2 g3
                ba0123 = _mm_unpackhi_epi16(_02, _13),  // b0 b1 b2 b3 a0 a1 a2 a3
                rg4567 = _mm_unpacklo_epi16(_46, _57),
                ba4567 = _mm_unpackhi_epi16(_46, _57);

        *r = _mm_unpacklo_epi64(rg0123, rg4567);
        *g = _mm_unpackhi_epi64(rg0123, rg4567);
        *b = _mm_unpacklo_epi64(ba0123, ba4567);
        *a = _mm_unpackhi_epi64(ba0123, ba4567);
    }
    AI static void Load3(const void* ptr, SkNx* r, SkNx* g, SkNx* b) {
        // TODO: AVX2 version
        const uint8_t* ptr8 = (const uint8_t*) ptr;
        __m128i rgb0 = _mm_loadu_si128((const __m128i*) (ptr8 +  0*2));
        __m128i rgb1 = _mm_srli_si128(rgb0, 3*2);
        __m128i rgb2 = _mm_loadu_si128((const __m128i*) (ptr8 +  6*2));
        __m128i rgb3 = _mm_srli_si128(rgb2, 3*2);
        __m128i rgb4 = _mm_loadu_si128((const __m128i*) (ptr8 + 12*2));
        __m128i rgb5 = _mm_srli_si128(rgb4, 3*2);
        __m128i rgb6 = _mm_srli_si128(_mm_loadu_si128((const __m128i*) (ptr8 + 16*2)), 2*2);
        __m128i rgb7 = _mm_srli_si128(rgb6, 3*2);

        __m128i rgb01 = _mm_unpacklo_epi16(rgb0, rgb1);
        __m128i rgb23 = _mm_unpacklo_epi16(rgb2, rgb3);
        __m128i rgb45 = _mm_unpacklo_epi16(rgb4, rgb5);
        __m128i rgb67 = _mm_unpacklo_epi16(rgb6, rgb7);

        __m128i rg03 = _mm_unpacklo_epi32(rgb01, rgb23);
        __m128i bx03 = _mm_unpackhi_epi32(rgb01, rgb23);
        __m128i rg47 = _mm_unpacklo_epi32(rgb45, rgb67);
        __m128i bx47 = _mm_unpackhi_epi32(rgb45, rgb67);

        *r = _mm_unpacklo_epi64(rg03, rg47);
        *g = _mm_unpackhi_epi64(rg03, rg47);
        *b = _mm_unpacklo_epi64(bx03, bx47);
    }
    AI static void Store4(void* ptr, const SkNx& r, const SkNx& g, const SkNx& b, const SkNx& a) {
        // TODO: AVX2 version
        __m128i rg0123 = _mm_unpacklo_epi16(r.fVec, g.fVec),  // r0 g0 r1 g1 r2 g2 r3 g3
                rg4567 = _mm_unpackhi_epi16(r.fVec, g.fVec),  // r4 g4 r5 g5 r6 g6 r7 g7
                ba0123 = _mm_unpacklo_epi16(b.fVec, a.fVec),
                ba4567 = _mm_unpackhi_epi16(b.fVec, a.fVec);

        _mm_storeu_si128((__m128i*)ptr + 0, _mm_unpacklo_epi32(rg0123, ba0123));
        _mm_storeu_si128((__m128i*)ptr + 1, _mm_unpackhi_epi32(rg0123, ba0123));
        _mm_storeu_si128((__m128i*)ptr + 2, _mm_unpacklo_epi32(rg4567, ba4567));
        _mm_storeu_si128((__m128i*)ptr + 3, _mm_unpackhi_epi32(rg4567, ba4567));
    }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_epi16(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_epi16(fVec, o.fVec); }
    AI SkNx operator * (const SkNx& o) const { return _mm_mullo_epi16(fVec, o.fVec); }
    AI SkNx operator & (const SkNx& o) const { return _mm_and_si128(fVec, o.fVec); }
    AI SkNx operator | (const SkNx& o) const { return _mm_or_si128(fVec, o.fVec); }

    AI SkNx operator << (int bits) const { return _mm_slli_epi16(fVec, bits); }
    AI SkNx operator >> (int bits) const { return _mm_srli_epi16(fVec, bits); }

    AI static SkNx Min(const SkNx& a, const SkNx& b) {
        // No unsigned _mm_min_epu16, so we'll shift into a space where we can use the
        // signed version, _mm_min_epi16, then shift back.
        const uint16_t top = 0x8000; // Keep this separate from _mm_set1_epi16 or MSVC will whine.
        const __m128i top_8x = _mm_set1_epi16(top);
        return _mm_add_epi8(top_8x, _mm_min_epi16(_mm_sub_epi8(a.fVec, top_8x),
                                                  _mm_sub_epi8(b.fVec, top_8x)));
    }

    AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
        return _mm_or_si128(_mm_and_si128   (fVec, t.fVec),
                            _mm_andnot_si128(fVec, e.fVec));
    }

    AI uint16_t operator[](int k) const {
        SkASSERT(0 <= k && k < 8);
        union { __m128i v; uint16_t us[8]; } pun = {fVec};
        return pun.us[k&7];
    }

    __m128i fVec;
};

template <>
class SkNx<4, uint8_t> {
public:
    AI SkNx() {}
    AI SkNx(const __m128i& vec) : fVec(vec) {}
    AI SkNx(uint8_t a, uint8_t b, uint8_t c, uint8_t d)
        : fVec(_mm_setr_epi8(a,b,c,d, 0,0,0,0, 0,0,0,0, 0,0,0,0)) {}


    AI static SkNx Load(const void* ptr) { return _mm_cvtsi32_si128(*(const int*)ptr); }
    AI void store(void* ptr) const { *(int*)ptr = _mm_cvtsi128_si32(fVec); }

    AI uint8_t operator[](int k) const {
        SkASSERT(0 <= k && k < 4);
        union { __m128i v; uint8_t us[16]; } pun = {fVec};
        return pun.us[k&3];
    }

    // TODO as needed

    __m128i fVec;
};

template <>
class SkNx<16, uint8_t> {
public:
    AI SkNx(const __m128i& vec) : fVec(vec) {}

    AI SkNx() {}
    AI SkNx(uint8_t val) : fVec(_mm_set1_epi8(val)) {}
    AI static SkNx Load(const void* ptr) { return _mm_loadu_si128((const __m128i*)ptr); }
    AI SkNx(uint8_t a, uint8_t b, uint8_t c, uint8_t d,
            uint8_t e, uint8_t f, uint8_t g, uint8_t h,
            uint8_t i, uint8_t j, uint8_t k, uint8_t l,
            uint8_t m, uint8_t n, uint8_t o, uint8_t p)
        : fVec(_mm_setr_epi8(a,b,c,d, e,f,g,h, i,j,k,l, m,n,o,p)) {}

    AI void store(void* ptr) const { _mm_storeu_si128((__m128i*)ptr, fVec); }

    AI SkNx saturatedAdd(const SkNx& o) const { return _mm_adds_epu8(fVec, o.fVec); }

    AI SkNx operator + (const SkNx& o) const { return _mm_add_epi8(fVec, o.fVec); }
    AI SkNx operator - (const SkNx& o) const { return _mm_sub_epi8(fVec, o.fVec); }

    AI static SkNx Min(const SkNx& a, const SkNx& b) { return _mm_min_epu8(a.fVec, b.fVec); }
    AI SkNx operator < (const SkNx& o) const {
        // There's no unsigned _mm_cmplt_epu8, so we flip the sign bits then use a signed compare.
        auto flip = _mm_set1_epi8(char(0x80));
        return _mm_cmplt_epi8(_mm_xor_si128(flip, fVec), _mm_xor_si128(flip, o.fVec));
    }

    AI uint8_t operator[](int k) const {
        SkASSERT(0 <= k && k < 16);
        union { __m128i v; uint8_t us[16]; } pun = {fVec};
        return pun.us[k&15];
    }

    AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
        return _mm_or_si128(_mm_and_si128   (fVec, t.fVec),
                            _mm_andnot_si128(fVec, e.fVec));
    }

    __m128i fVec;
};

#if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_AVX2

    template <>
    class SkNx<8, uint8_t> {
    public:
        AI SkNx(const __m128i& vec) : fVec(vec) {}

        AI SkNx() {}
        AI SkNx(uint8_t v) : fVec(_mm_set1_epi8(v)) {}
        AI SkNx(uint8_t a, uint8_t b, uint8_t c, uint8_t d,
                uint8_t e, uint8_t f, uint8_t g, uint8_t h)
            : fVec(_mm_setr_epi8(a,b,c,d, e,f,g,h, 0,0,0,0, 0,0,0,0)) {}


        AI static SkNx Load(const void* ptr) { return _mm_loadl_epi64((const __m128i*)ptr); }
        AI void store(void* ptr) const { _mm_storel_epi64((__m128i*)ptr, fVec); }

        AI uint8_t operator[](int k) const {
            SkASSERT(0 <= k && k < 8);
            union { __m128i v; uint8_t us[16]; } pun = {fVec};
            return pun.us[k&7];
        }

        __m128i fVec;
    };

    template <>
    class SkNx<8, int32_t> {
    public:
        AI SkNx(const __m256i& vec) : fVec(vec) {}

        AI SkNx() {}
        AI SkNx(int32_t v) : fVec(_mm256_set1_epi32(v)) {}
        AI SkNx(int32_t a, int32_t b, int32_t c, int32_t d,
                int32_t e, int32_t f, int32_t g, int32_t h)
            : fVec(_mm256_setr_epi32(a,b,c,d, e,f,g,h)) {}

        AI static SkNx Load(const void* ptr) { return _mm256_loadu_si256((const __m256i*)ptr); }
        AI void store(void* ptr) const { _mm256_storeu_si256((__m256i*)ptr, fVec); }

        AI SkNx operator + (const SkNx& o) const { return _mm256_add_epi32(fVec, o.fVec); }
        AI SkNx operator - (const SkNx& o) const { return _mm256_sub_epi32(fVec, o.fVec); }
        AI SkNx operator * (const SkNx& o) const { return _mm256_mullo_epi32(fVec, o.fVec); }

        AI SkNx operator & (const SkNx& o) const { return _mm256_and_si256(fVec, o.fVec); }
        AI SkNx operator | (const SkNx& o) const { return _mm256_or_si256(fVec, o.fVec); }
        AI SkNx operator ^ (const SkNx& o) const { return _mm256_xor_si256(fVec, o.fVec); }

        AI SkNx operator << (int bits) const { return _mm256_slli_epi32(fVec, bits); }
        AI SkNx operator >> (int bits) const { return _mm256_srai_epi32(fVec, bits); }

        AI int32_t operator[](int k) const {
            SkASSERT(0 <= k && k < 8);
            union { __m256i v; int32_t is[8]; } pun = {fVec};
            return pun.is[k&7];
        }

        __m256i fVec;
    };

    template <>
    class SkNx<8, uint32_t> {
    public:
        AI SkNx(const __m256i& vec) : fVec(vec) {}

        AI SkNx() {}
        AI SkNx(uint32_t v) : fVec(_mm256_set1_epi32(v)) {}
        AI SkNx(uint32_t a, uint32_t b, uint32_t c, uint32_t d,
                uint32_t e, uint32_t f, uint32_t g, uint32_t h)
            : fVec(_mm256_setr_epi32(a,b,c,d, e,f,g,h)) {}

        AI static SkNx Load(const void* ptr) { return _mm256_loadu_si256((const __m256i*)ptr); }
        AI void store(void* ptr) const { _mm256_storeu_si256((__m256i*)ptr, fVec); }

        AI SkNx operator + (const SkNx& o) const { return _mm256_add_epi32(fVec, o.fVec); }
        AI SkNx operator - (const SkNx& o) const { return _mm256_sub_epi32(fVec, o.fVec); }
        AI SkNx operator * (const SkNx& o) const { return _mm256_mullo_epi32(fVec, o.fVec); }

        AI SkNx operator & (const SkNx& o) const { return _mm256_and_si256(fVec, o.fVec); }
        AI SkNx operator | (const SkNx& o) const { return _mm256_or_si256(fVec, o.fVec); }
        AI SkNx operator ^ (const SkNx& o) const { return _mm256_xor_si256(fVec, o.fVec); }

        AI SkNx operator << (int bits) const { return _mm256_slli_epi32(fVec, bits); }
        AI SkNx operator >> (int bits) const { return _mm256_srli_epi32(fVec, bits); }

        AI uint32_t operator[](int k) const {
            SkASSERT(0 <= k && k < 8);
            union { __m256i v; uint32_t us[8]; } pun = {fVec};
            return pun.us[k&7];
        }

        __m256i fVec;
    };

    // _mm256_unpack{lo,hi}_pd() auto-casting to and from __m256d.
    AI static __m256 unpacklo_pd(__m256 x, __m256 y) {
        return _mm256_castpd_ps(_mm256_unpacklo_pd(_mm256_castps_pd(x), _mm256_castps_pd(y)));
    }
    AI static __m256 unpackhi_pd(__m256 x, __m256 y) {
        return _mm256_castpd_ps(_mm256_unpackhi_pd(_mm256_castps_pd(x), _mm256_castps_pd(y)));
    }

    template <>
    class SkNx<8, float> {
    public:
        AI SkNx(const __m256& vec) : fVec(vec) {}

        AI SkNx() {}
        AI SkNx(float val) : fVec(_mm256_set1_ps(val)) {}
        AI SkNx(float a, float b, float c, float d,
                float e, float f, float g, float h) : fVec(_mm256_setr_ps(a,b,c,d,e,f,g,h)) {}

        AI static SkNx Load(const void* ptr) { return _mm256_loadu_ps((const float*)ptr); }
        AI void store(void* ptr) const { _mm256_storeu_ps((float*)ptr, fVec); }

        AI static void Store4(void* ptr,
                              const SkNx& r, const SkNx& g, const SkNx& b, const SkNx& a) {
            __m256 rg0145 = _mm256_unpacklo_ps(r.fVec, g.fVec),  // r0 g0 r1 g1 | r4 g4 r5 g5
                   rg2367 = _mm256_unpackhi_ps(r.fVec, g.fVec),  // r2 ...      | r6 ...
                   ba0145 = _mm256_unpacklo_ps(b.fVec, a.fVec),  // b0 a0 b1 a1 | b4 a4 b5 a5
                   ba2367 = _mm256_unpackhi_ps(b.fVec, a.fVec);  // b2 ...      | b6 ...

            __m256 _04 = unpacklo_pd(rg0145, ba0145),  // r0 g0 b0 a0 | r4 g4 b4 a4
                   _15 = unpackhi_pd(rg0145, ba0145),  // r1 ...      | r5 ...
                   _26 = unpacklo_pd(rg2367, ba2367),  // r2 ...      | r6 ...
                   _37 = unpackhi_pd(rg2367, ba2367);  // r3 ...      | r7 ...

            __m256 _01 = _mm256_permute2f128_ps(_04, _15, 32),  // 32 == 0010 0000 == lo, lo
                   _23 = _mm256_permute2f128_ps(_26, _37, 32),
                   _45 = _mm256_permute2f128_ps(_04, _15, 49),  // 49 == 0011 0001 == hi, hi
                   _67 = _mm256_permute2f128_ps(_26, _37, 49);

            _mm256_storeu_ps((float*)ptr + 0*8, _01);
            _mm256_storeu_ps((float*)ptr + 1*8, _23);
            _mm256_storeu_ps((float*)ptr + 2*8, _45);
            _mm256_storeu_ps((float*)ptr + 3*8, _67);
        }

        AI SkNx operator+(const SkNx& o) const { return _mm256_add_ps(fVec, o.fVec); }
        AI SkNx operator-(const SkNx& o) const { return _mm256_sub_ps(fVec, o.fVec); }
        AI SkNx operator*(const SkNx& o) const { return _mm256_mul_ps(fVec, o.fVec); }
        AI SkNx operator/(const SkNx& o) const { return _mm256_div_ps(fVec, o.fVec); }

        AI SkNx operator==(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_EQ_OQ); }
        AI SkNx operator!=(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_NEQ_OQ); }
        AI SkNx operator <(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_LT_OQ); }
        AI SkNx operator >(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_GT_OQ); }
        AI SkNx operator<=(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_LE_OQ); }
        AI SkNx operator>=(const SkNx& o) const { return _mm256_cmp_ps(fVec, o.fVec, _CMP_GE_OQ); }

        AI static SkNx Min(const SkNx& l, const SkNx& r) { return _mm256_min_ps(l.fVec, r.fVec); }
        AI static SkNx Max(const SkNx& l, const SkNx& r) { return _mm256_max_ps(l.fVec, r.fVec); }

        AI SkNx   sqrt() const { return _mm256_sqrt_ps (fVec); }
        AI SkNx  rsqrt() const { return _mm256_rsqrt_ps(fVec); }
        AI SkNx invert() const { return _mm256_rcp_ps  (fVec); }

        AI SkNx abs() const { return _mm256_andnot_ps(_mm256_set1_ps(-0.0f), fVec); }
        AI SkNx floor() const { return _mm256_floor_ps(fVec); }

        AI float operator[](int k) const {
            SkASSERT(0 <= k && k < 8);
            union { __m256 v; float fs[8]; } pun = {fVec};
            return pun.fs[k&7];
        }

        AI SkNx thenElse(const SkNx& t, const SkNx& e) const {
            return _mm256_blendv_ps(e.fVec, t.fVec, fVec);
        }

        __m256 fVec;
    };

    AI static void SkNx_split(const Sk8f& v, Sk4f* lo, Sk4f* hi) {
        *lo = _mm256_extractf128_ps(v.fVec, 0);
        *hi = _mm256_extractf128_ps(v.fVec, 1);
    }

    AI static Sk8f SkNx_join(const Sk4f& lo, const Sk4f& hi) {
        return _mm256_insertf128_ps(_mm256_castps128_ps256(lo.fVec), hi.fVec, 1);
    }

    AI static Sk8f SkNx_fma(const Sk8f& a, const Sk8f& b, const Sk8f& c) {
        return _mm256_fmadd_ps(a.fVec, b.fVec, c.fVec);
    }

    template<> AI /*static*/ Sk8i SkNx_cast<int>(const Sk8b& src) {
        return _mm256_cvtepu8_epi32(src.fVec);
    }

    template<> AI /*static*/ Sk8f SkNx_cast<float>(const Sk8b& src) {
        return _mm256_cvtepi32_ps(SkNx_cast<int>(src).fVec);
    }

    template<> AI /*static*/ Sk8i SkNx_cast<int>(const Sk8h& src) {
        return _mm256_cvtepu16_epi32(src.fVec);
    }

    template<> AI /*static*/ Sk8f SkNx_cast<float>(const Sk8h& src) {
        return _mm256_cvtepi32_ps(SkNx_cast<int>(src).fVec);
    }

    template<> AI /*static*/ Sk8f SkNx_cast<float>(const Sk8i& src) {
        return _mm256_cvtepi32_ps(src.fVec);
    }

    template<> AI /*static*/ Sk8i SkNx_cast<int>(const Sk8f& src) {
        return _mm256_cvttps_epi32(src.fVec);
    }

    template<> AI /*static*/ Sk8h SkNx_cast<uint16_t>(const Sk8i& src) {
        __m128i lo = _mm256_extractf128_si256(src.fVec, 0),
                hi = _mm256_extractf128_si256(src.fVec, 1);
        return _mm_packus_epi32(lo, hi);
    }

    template<> AI /*static*/ Sk8h SkNx_cast<uint16_t>(const Sk8f& src) {
        return SkNx_cast<uint16_t>(SkNx_cast<int>(src));
    }

    template<> AI /*static*/ Sk8b SkNx_cast<uint8_t>(const Sk8i& src) {
        auto _16 = SkNx_cast<uint16_t>(src);
        return _mm_packus_epi16(_16.fVec, _16.fVec);
    }

#endif

template<> AI /*static*/ Sk4f SkNx_cast<float, int32_t>(const Sk4i& src) {
    return _mm_cvtepi32_ps(src.fVec);
}
template<> AI /*static*/ Sk4f SkNx_cast<float, uint32_t>(const Sk4u& src) {
    return SkNx_cast<float>(Sk4i::Load(&src));
}

template <> AI /*static*/ Sk4i SkNx_cast<int32_t, float>(const Sk4f& src) {
    return _mm_cvttps_epi32(src.fVec);
}

template<> AI /*static*/ Sk4h SkNx_cast<uint16_t, int32_t>(const Sk4i& src) {
#if 0 && SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSE41
    // TODO: This seems to be causing code generation problems.   Investigate?
    return _mm_packus_epi32(src.fVec);
#elif SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSSE3
    // With SSSE3, we can just shuffle the low 2 bytes from each lane right into place.
    const int _ = ~0;
    return _mm_shuffle_epi8(src.fVec, _mm_setr_epi8(0,1, 4,5, 8,9, 12,13, _,_,_,_,_,_,_,_));
#else
    // With SSE2, we have to sign extend our input, making _mm_packs_epi32 do the pack we want.
    __m128i x = _mm_srai_epi32(_mm_slli_epi32(src.fVec, 16), 16);
    return _mm_packs_epi32(x,x);
#endif
}

template<> AI /*static*/ Sk4h SkNx_cast<uint16_t, float>(const Sk4f& src) {
    return SkNx_cast<uint16_t>(SkNx_cast<int32_t>(src));
}

template<> AI /*static*/ Sk4b SkNx_cast<uint8_t, float>(const Sk4f& src) {
    auto _32 = _mm_cvttps_epi32(src.fVec);
#if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSSE3
    const int _ = ~0;
    return _mm_shuffle_epi8(_32, _mm_setr_epi8(0,4,8,12, _,_,_,_, _,_,_,_, _,_,_,_));
#else
    auto _16 = _mm_packus_epi16(_32, _32);
    return     _mm_packus_epi16(_16, _16);
#endif
}

template<> AI /*static*/ Sk4i SkNx_cast<int32_t, uint8_t>(const Sk4b& src) {
#if SK_CPU_SSE_LEVEL >= SK_CPU_SSE_LEVEL_SSSE3
    const int _ = ~0;
    return _mm_shuffle_epi8(src.fVec, _mm_setr_epi8(0,_,_,_, 1,_,_,_, 2,_,_,_, 3,_,_,_));
#else
    auto _16 = _mm_unpacklo_epi8(src.fVec, _mm_setzero_si128());
    return _mm_unpacklo_epi16(_16, _mm_setzero_si128());
#endif
}

template<> AI /*static*/ Sk4f SkNx_cast<float, uint8_t>(const Sk4b& src) {
    return _mm_cvtepi32_ps(SkNx_cast<int32_t>(src).fVec);
}

template<> AI /*static*/ Sk4f SkNx_cast<float, uint16_t>(const Sk4h& src) {
    auto _32 = _mm_unpacklo_epi16(src.fVec, _mm_setzero_si128());
    return _mm_cvtepi32_ps(_32);
}

template<> AI /*static*/ Sk16b SkNx_cast<uint8_t, float>(const Sk16f& src) {
    Sk8f ab, cd;
    SkNx_split(src, &ab, &cd);

    Sk4f a,b,c,d;
    SkNx_split(ab, &a, &b);
    SkNx_split(cd, &c, &d);

    return _mm_packus_epi16(_mm_packus_epi16(_mm_cvttps_epi32(a.fVec),
                                             _mm_cvttps_epi32(b.fVec)),
                            _mm_packus_epi16(_mm_cvttps_epi32(c.fVec),
                                             _mm_cvttps_epi32(d.fVec)));
}

template<> AI /*static*/ Sk4h SkNx_cast<uint16_t, uint8_t>(const Sk4b& src) {
    return _mm_unpacklo_epi8(src.fVec, _mm_setzero_si128());
}

template<> AI /*static*/ Sk4b SkNx_cast<uint8_t, uint16_t>(const Sk4h& src) {
    return _mm_packus_epi16(src.fVec, src.fVec);
}

template<> AI /*static*/ Sk4i SkNx_cast<int32_t, uint16_t>(const Sk4h& src) {
    return _mm_unpacklo_epi16(src.fVec, _mm_setzero_si128());
}

template<> AI /*static*/ Sk4b SkNx_cast<uint8_t, int32_t>(const Sk4i& src) {
    return _mm_packus_epi16(_mm_packus_epi16(src.fVec, src.fVec), src.fVec);
}

template<> AI /*static*/ Sk4i SkNx_cast<int32_t, uint32_t>(const Sk4u& src) {
    return src.fVec;
}

AI static Sk4i Sk4f_round(const Sk4f& x) {
    return _mm_cvtps_epi32(x.fVec);
}

}  // namespace

#endif//SkNx_sse_DEFINED