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c0693db3f5
skia2/include/private/SkVx.h
Mike Klein 4d680cdf07 a bunch of half-related stuff 
- add f32<->f16 functions to skvx
  - add f32<->f16 x86 instructions to skvm::Assembler
  - add f32<->f16 ops to skvm,
    using the skvx functions in the interpreter

Still TODO:
    use the new x86 instructions in the JIT

(For now like in many other ways, the aarch64 JIT
continues to languish.  Will pick that back up one day.)

Change-Id: Ib8dc1ccdc75ecb23769ea4947d66d3ab22520f23
Reviewed-on: https://skia-review.googlesource.com/c/skia/+/302942
Commit-Queue: Mike Klein <mtklein@google.com>
Reviewed-by: Herb Derby <herb@google.com>
2020-07-15 20:47:31 +00:00

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/*
* Copyright 2019 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#ifndef SKVX_DEFINED
#define SKVX_DEFINED
// skvx::Vec<N,T> are SIMD vectors of N T's, a v1.5 successor to SkNx<N,T>.
//
// This time we're leaning a bit less on platform-specific intrinsics and a bit
// more on Clang/GCC vector extensions, but still keeping the option open to
// drop in platform-specific intrinsics, actually more easily than before.
//
// We've also fixed a few of the caveats that used to make SkNx awkward to work
// with across translation units. skvx::Vec<N,T> always has N*sizeof(T) size
// and alignment[1][2] and is safe to use across translation units freely.
//
// [1] Ideally we'd only align to T, but that tanks ARMv7 NEON codegen.
// [2] Some compilers barf if we try to use N*sizeof(T), so instead we leave them at T.
// Please try to keep this file independent of Skia headers.
#include <algorithm> // std::min, std::max
#include <cmath> // std::ceil, std::floor, std::trunc, std::round, std::sqrt, etc.
#include <cstdint> // intXX_t
#include <cstring> // memcpy()
#include <initializer_list> // std::initializer_list
#if defined(__SSE__) || defined(__AVX__) || defined(__AVX2__)
#include <immintrin.h>
#elif defined(__ARM_NEON)
#include <arm_neon.h>
#endif
#if defined __wasm_simd128__
// WASM SIMD intrinsics definitions: https://github.com/llvm/llvm-project/blob/master/clang/lib/Headers/wasm_simd128.h
#include <wasm_simd128.h>
#endif
#if !defined(__clang__) && defined(__GNUC__) && defined(__mips64)
// GCC 7 hits an internal compiler error when targeting MIPS64.
#define SKVX_ALIGNMENT
#elif !defined(__clang__) && defined(_MSC_VER) && defined(_M_IX86)
// Our SkVx unit tests fail when built by MSVC for 32-bit x86.
#define SKVX_ALIGNMENT
#else
#define SKVX_ALIGNMENT alignas(N * sizeof(T))
#endif
#if defined(__GNUC__) && !defined(__clang__) && defined(__SSE__)
// GCC warns about ABI changes when returning >= 32 byte vectors when -mavx is not enabled.
// This only happens for types like VExt whose ABI we don't care about, not for Vec itself.
#pragma GCC diagnostic ignored "-Wpsabi"
#endif
// To avoid ODR violations, all methods must be force-inlined,
// and all standalone functions must be static, perhaps using these helpers.
#if defined(_MSC_VER)
#define SKVX_ALWAYS_INLINE __forceinline
#else
#define SKVX_ALWAYS_INLINE __attribute__((always_inline))
#endif
#define SIT template < typename T> static inline
#define SINT template <int N, typename T> static inline
#define SINTU template <int N, typename T, typename U, \
typename=typename std::enable_if<std::is_convertible<U,T>::value>::type> \
static inline
namespace skvx {
// All Vec have the same simple memory layout, the same as `T vec[N]`.
template <int N, typename T>
struct SKVX_ALIGNMENT Vec {
static_assert((N & (N-1)) == 0, "N must be a power of 2.");
static_assert(sizeof(T) >= alignof(T), "What kind of crazy T is this?");
Vec<N/2,T> lo, hi;
// Methods belong here in the class declaration of Vec only if:
// - they must be here, like constructors or operator[];
// - they'll definitely never want a specialized implementation.
// Other operations on Vec should be defined outside the type.
SKVX_ALWAYS_INLINE Vec() = default;
template <typename U,
typename=typename std::enable_if<std::is_convertible<U,T>::value>::type>
SKVX_ALWAYS_INLINE
Vec(U x) : lo(x), hi(x) {}
SKVX_ALWAYS_INLINE Vec(std::initializer_list<T> xs) {
T vals[N] = {0};
memcpy(vals, xs.begin(), std::min(xs.size(), (size_t)N)*sizeof(T));
lo = Vec<N/2,T>::Load(vals + 0);
hi = Vec<N/2,T>::Load(vals + N/2);
}
SKVX_ALWAYS_INLINE T operator[](int i) const { return i < N/2 ? lo[i] : hi[i-N/2]; }
SKVX_ALWAYS_INLINE T& operator[](int i) { return i < N/2 ? lo[i] : hi[i-N/2]; }
SKVX_ALWAYS_INLINE static Vec Load(const void* ptr) {
Vec v;
memcpy(&v, ptr, sizeof(Vec));
return v;
}
SKVX_ALWAYS_INLINE void store(void* ptr) const {
memcpy(ptr, this, sizeof(Vec));
}
};
template <typename T>
struct Vec<1,T> {
T val;
SKVX_ALWAYS_INLINE Vec() = default;
template <typename U,
typename=typename std::enable_if<std::is_convertible<U,T>::value>::type>
SKVX_ALWAYS_INLINE
Vec(U x) : val(x) {}
SKVX_ALWAYS_INLINE Vec(std::initializer_list<T> xs) : val(xs.size() ? *xs.begin() : 0) {}
SKVX_ALWAYS_INLINE T operator[](int) const { return val; }
SKVX_ALWAYS_INLINE T& operator[](int) { return val; }
SKVX_ALWAYS_INLINE static Vec Load(const void* ptr) {
Vec v;
memcpy(&v, ptr, sizeof(Vec));
return v;
}
SKVX_ALWAYS_INLINE void store(void* ptr) const {
memcpy(ptr, this, sizeof(Vec));
}
};
template <typename D, typename S>
static inline D unchecked_bit_pun(const S& s) {
D d;
memcpy(&d, &s, sizeof(D));
return d;
}
template <typename D, typename S>
static inline D bit_pun(const S& s) {
static_assert(sizeof(D) == sizeof(S), "");
return unchecked_bit_pun<D>(s);
}
// Translate from a value type T to its corresponding Mask, the result of a comparison.
template <typename T> struct Mask { using type = T; };
template <> struct Mask<float > { using type = int32_t; };
template <> struct Mask<double> { using type = int64_t; };
template <typename T> using M = typename Mask<T>::type;
// Join two Vec<N,T> into one Vec<2N,T>.
SINT Vec<2*N,T> join(const Vec<N,T>& lo, const Vec<N,T>& hi) {
Vec<2*N,T> v;
v.lo = lo;
v.hi = hi;
return v;
}
// We have two default strategies for implementing most operations:
// 1) lean on Clang/GCC vector extensions when available;
// 2) recurse to scalar portable implementations when not.
// At the end we can drop in platform-specific implementations that override either default.
#if !defined(SKNX_NO_SIMD) && (defined(__clang__) || defined(__GNUC__))
// VExt<N,T> types have the same size as Vec<N,T> and support most operations directly.
// N.B. VExt<N,T> alignment is N*alignof(T), stricter than Vec<N,T>'s alignof(T).
#if defined(__clang__)
template <int N, typename T>
using VExt = T __attribute__((ext_vector_type(N)));
#elif defined(__GNUC__)
template <int N, typename T>
struct VExtHelper {
typedef T __attribute__((vector_size(N*sizeof(T)))) type;
};
template <int N, typename T>
using VExt = typename VExtHelper<N,T>::type;
// For some reason some (new!) versions of GCC cannot seem to deduce N in the generic
// to_vec<N,T>() below for N=4 and T=float. This workaround seems to help...
static inline Vec<4,float> to_vec(VExt<4,float> v) { return bit_pun<Vec<4,float>>(v); }
#endif
SINT VExt<N,T> to_vext(const Vec<N,T>& v) { return bit_pun<VExt<N,T>>(v); }
SINT Vec <N,T> to_vec(const VExt<N,T>& v) { return bit_pun<Vec <N,T>>(v); }
SINT Vec<N,T> operator+(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) + to_vext(y)); }
SINT Vec<N,T> operator-(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) - to_vext(y)); }
SINT Vec<N,T> operator*(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) * to_vext(y)); }
SINT Vec<N,T> operator/(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) / to_vext(y)); }
SINT Vec<N,T> operator^(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) ^ to_vext(y)); }
SINT Vec<N,T> operator&(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) & to_vext(y)); }
SINT Vec<N,T> operator|(const Vec<N,T>& x, const Vec<N,T>& y) { return to_vec<N,T>(to_vext(x) | to_vext(y)); }
SINT Vec<N,T> operator!(const Vec<N,T>& x) { return to_vec<N,T>(!to_vext(x)); }
SINT Vec<N,T> operator-(const Vec<N,T>& x) { return to_vec<N,T>(-to_vext(x)); }
SINT Vec<N,T> operator~(const Vec<N,T>& x) { return to_vec<N,T>(~to_vext(x)); }
SINT Vec<N,T> operator<<(const Vec<N,T>& x, int bits) { return to_vec<N,T>(to_vext(x) << bits); }
SINT Vec<N,T> operator>>(const Vec<N,T>& x, int bits) { return to_vec<N,T>(to_vext(x) >> bits); }
SINT Vec<N,M<T>> operator==(const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) == to_vext(y)); }
SINT Vec<N,M<T>> operator!=(const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) != to_vext(y)); }
SINT Vec<N,M<T>> operator<=(const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) <= to_vext(y)); }
SINT Vec<N,M<T>> operator>=(const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) >= to_vext(y)); }
SINT Vec<N,M<T>> operator< (const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) < to_vext(y)); }
SINT Vec<N,M<T>> operator> (const Vec<N,T>& x, const Vec<N,T>& y) { return bit_pun<Vec<N,M<T>>>(to_vext(x) > to_vext(y)); }
#else
// Either SKNX_NO_SIMD is defined, or Clang/GCC vector extensions are not available.
// We'll implement things portably, in a way that should be easily autovectorizable.
// N == 1 scalar implementations.
SIT Vec<1,T> operator+(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val + y.val; }
SIT Vec<1,T> operator-(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val - y.val; }
SIT Vec<1,T> operator*(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val * y.val; }
SIT Vec<1,T> operator/(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val / y.val; }
SIT Vec<1,T> operator^(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val ^ y.val; }
SIT Vec<1,T> operator&(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val & y.val; }
SIT Vec<1,T> operator|(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val | y.val; }
SIT Vec<1,T> operator!(const Vec<1,T>& x) { return !x.val; }
SIT Vec<1,T> operator-(const Vec<1,T>& x) { return -x.val; }
SIT Vec<1,T> operator~(const Vec<1,T>& x) { return ~x.val; }
SIT Vec<1,T> operator<<(const Vec<1,T>& x, int bits) { return x.val << bits; }
SIT Vec<1,T> operator>>(const Vec<1,T>& x, int bits) { return x.val >> bits; }
SIT Vec<1,M<T>> operator==(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val == y.val ? ~0 : 0; }
SIT Vec<1,M<T>> operator!=(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val != y.val ? ~0 : 0; }
SIT Vec<1,M<T>> operator<=(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val <= y.val ? ~0 : 0; }
SIT Vec<1,M<T>> operator>=(const Vec<1,T>& x, const Vec<1,T>& y) { return x.val >= y.val ? ~0 : 0; }
SIT Vec<1,M<T>> operator< (const Vec<1,T>& x, const Vec<1,T>& y) { return x.val < y.val ? ~0 : 0; }
SIT Vec<1,M<T>> operator> (const Vec<1,T>& x, const Vec<1,T>& y) { return x.val > y.val ? ~0 : 0; }
// All default N != 1 implementations just recurse on lo and hi halves.
SINT Vec<N,T> operator+(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo + y.lo, x.hi + y.hi); }
SINT Vec<N,T> operator-(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo - y.lo, x.hi - y.hi); }
SINT Vec<N,T> operator*(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo * y.lo, x.hi * y.hi); }
SINT Vec<N,T> operator/(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo / y.lo, x.hi / y.hi); }
SINT Vec<N,T> operator^(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo ^ y.lo, x.hi ^ y.hi); }
SINT Vec<N,T> operator&(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo & y.lo, x.hi & y.hi); }
SINT Vec<N,T> operator|(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo | y.lo, x.hi | y.hi); }
SINT Vec<N,T> operator!(const Vec<N,T>& x) { return join(!x.lo, !x.hi); }
SINT Vec<N,T> operator-(const Vec<N,T>& x) { return join(-x.lo, -x.hi); }
SINT Vec<N,T> operator~(const Vec<N,T>& x) { return join(~x.lo, ~x.hi); }
SINT Vec<N,T> operator<<(const Vec<N,T>& x, int bits) { return join(x.lo << bits, x.hi << bits); }
SINT Vec<N,T> operator>>(const Vec<N,T>& x, int bits) { return join(x.lo >> bits, x.hi >> bits); }
SINT Vec<N,M<T>> operator==(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo == y.lo, x.hi == y.hi); }
SINT Vec<N,M<T>> operator!=(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo != y.lo, x.hi != y.hi); }
SINT Vec<N,M<T>> operator<=(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo <= y.lo, x.hi <= y.hi); }
SINT Vec<N,M<T>> operator>=(const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo >= y.lo, x.hi >= y.hi); }
SINT Vec<N,M<T>> operator< (const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo < y.lo, x.hi < y.hi); }
SINT Vec<N,M<T>> operator> (const Vec<N,T>& x, const Vec<N,T>& y) { return join(x.lo > y.lo, x.hi > y.hi); }
#endif
// Some operations we want are not expressible with Clang/GCC vector
// extensions, so we implement them using the recursive approach.
// N == 1 scalar implementations.
SIT Vec<1,T> if_then_else(const Vec<1,M<T>>& cond, const Vec<1,T>& t, const Vec<1,T>& e) {
// In practice this scalar implementation is unlikely to be used. See if_then_else() below.
return bit_pun<Vec<1,T>>(( cond & bit_pun<Vec<1, M<T>>>(t)) |
(~cond & bit_pun<Vec<1, M<T>>>(e)) );
}
SIT bool any(const Vec<1,T>& x) { return x.val != 0; }
SIT bool all(const Vec<1,T>& x) { return x.val != 0; }
SIT T min(const Vec<1,T>& x) { return x.val; }
SIT T max(const Vec<1,T>& x) { return x.val; }
SIT Vec<1,T> min(const Vec<1,T>& x, const Vec<1,T>& y) { return std::min(x.val, y.val); }
SIT Vec<1,T> max(const Vec<1,T>& x, const Vec<1,T>& y) { return std::max(x.val, y.val); }
SIT Vec<1,T> pow(const Vec<1,T>& x, const Vec<1,T>& y) { return std::pow(x.val, y.val); }
SIT Vec<1,T> atan(const Vec<1,T>& x) { return std:: atan(x.val); }
SIT Vec<1,T> ceil(const Vec<1,T>& x) { return std:: ceil(x.val); }
SIT Vec<1,T> floor(const Vec<1,T>& x) { return std::floor(x.val); }
SIT Vec<1,T> trunc(const Vec<1,T>& x) { return std::trunc(x.val); }
SIT Vec<1,T> round(const Vec<1,T>& x) { return std::round(x.val); }
SIT Vec<1,T> sqrt(const Vec<1,T>& x) { return std:: sqrt(x.val); }
SIT Vec<1,T> abs(const Vec<1,T>& x) { return std:: abs(x.val); }
SIT Vec<1,T> sin(const Vec<1,T>& x) { return std:: sin(x.val); }
SIT Vec<1,T> cos(const Vec<1,T>& x) { return std:: cos(x.val); }
SIT Vec<1,T> tan(const Vec<1,T>& x) { return std:: tan(x.val); }
SIT Vec<1,int> lrint(const Vec<1,T>& x) { return (int)std::lrint(x.val); }
SIT Vec<1,T> rcp(const Vec<1,T>& x) { return 1 / x.val; }
SIT Vec<1,T> rsqrt(const Vec<1,T>& x) { return rcp(sqrt(x)); }
SIT Vec<1,T> mad(const Vec<1,T>& f,
const Vec<1,T>& m,
const Vec<1,T>& a) { return f*m+a; }
// All default N != 1 implementations just recurse on lo and hi halves.
SINT Vec<N,T> if_then_else(const Vec<N,M<T>>& cond, const Vec<N,T>& t, const Vec<N,T>& e) {
// Specializations inline here so they can generalize what types the apply to.
// (This header is used in C++14 contexts, so we have to kind of fake constexpr if.)
#if defined(__AVX__)
if /*constexpr*/ (N == 8 && sizeof(T) == 4) {
return unchecked_bit_pun<Vec<N,T>>(_mm256_blendv_ps(unchecked_bit_pun<__m256>(e),
unchecked_bit_pun<__m256>(t),
unchecked_bit_pun<__m256>(cond)));
}
#endif
#if defined(__SSE4_1__)
if /*constexpr*/ (N == 4 && sizeof(T) == 4) {
return unchecked_bit_pun<Vec<N,T>>(_mm_blendv_ps(unchecked_bit_pun<__m128>(e),
unchecked_bit_pun<__m128>(t),
unchecked_bit_pun<__m128>(cond)));
}
#endif
#if defined(__ARM_NEON)
if /*constexpr*/ (N == 4 && sizeof(T) == 4) {
return unchecked_bit_pun<Vec<N,T>>(vbslq_f32(unchecked_bit_pun< uint32x4_t>(cond),
unchecked_bit_pun<float32x4_t>(t),
unchecked_bit_pun<float32x4_t>(e)));
}
#endif
// Recurse for large vectors to try to hit the specializations above.
if /*constexpr*/ (N > 4) {
return join(if_then_else(cond.lo, t.lo, e.lo),
if_then_else(cond.hi, t.hi, e.hi));
}
// This default can lead to better code than the recursing onto scalars.
return bit_pun<Vec<N,T>>(( cond & bit_pun<Vec<N, M<T>>>(t)) |
(~cond & bit_pun<Vec<N, M<T>>>(e)) );
}
SINT bool any(const Vec<N,T>& x) { return any(x.lo) || any(x.hi); }
SINT bool all(const Vec<N,T>& x) { return all(x.lo) && all(x.hi); }
SINT T min(const Vec<N,T>& x) { return std::min(min(x.lo), min(x.hi)); }
SINT T max(const Vec<N,T>& x) { return std::max(max(x.lo), max(x.hi)); }
SINT Vec<N,T> min(const Vec<N,T>& x, const Vec<N,T>& y) { return join(min(x.lo, y.lo), min(x.hi, y.hi)); }
SINT Vec<N,T> max(const Vec<N,T>& x, const Vec<N,T>& y) { return join(max(x.lo, y.lo), max(x.hi, y.hi)); }
SINT Vec<N,T> pow(const Vec<N,T>& x, const Vec<N,T>& y) { return join(pow(x.lo, y.lo), pow(x.hi, y.hi)); }
SINT Vec<N,T> atan(const Vec<N,T>& x) { return join( atan(x.lo), atan(x.hi)); }
SINT Vec<N,T> ceil(const Vec<N,T>& x) { return join( ceil(x.lo), ceil(x.hi)); }
SINT Vec<N,T> floor(const Vec<N,T>& x) { return join(floor(x.lo), floor(x.hi)); }
SINT Vec<N,T> trunc(const Vec<N,T>& x) { return join(trunc(x.lo), trunc(x.hi)); }
SINT Vec<N,T> round(const Vec<N,T>& x) { return join(round(x.lo), round(x.hi)); }
SINT Vec<N,T> sqrt(const Vec<N,T>& x) { return join( sqrt(x.lo), sqrt(x.hi)); }
SINT Vec<N,T> abs(const Vec<N,T>& x) { return join( abs(x.lo), abs(x.hi)); }
SINT Vec<N,T> sin(const Vec<N,T>& x) { return join( sin(x.lo), sin(x.hi)); }
SINT Vec<N,T> cos(const Vec<N,T>& x) { return join( cos(x.lo), cos(x.hi)); }
SINT Vec<N,T> tan(const Vec<N,T>& x) { return join( tan(x.lo), tan(x.hi)); }
SINT Vec<N,int> lrint(const Vec<N,T>& x) { return join(lrint(x.lo), lrint(x.hi)); }
SINT Vec<N,T> rcp(const Vec<N,T>& x) { return join( rcp(x.lo), rcp(x.hi)); }
SINT Vec<N,T> rsqrt(const Vec<N,T>& x) { return join(rsqrt(x.lo), rsqrt(x.hi)); }
SINT Vec<N,T> mad(const Vec<N,T>& f,
const Vec<N,T>& m,
const Vec<N,T>& a) { return join(mad(f.lo, m.lo, a.lo), mad(f.hi, m.hi, a.hi)); }
// Scalar/vector operations just splat the scalar to a vector...
SINTU Vec<N,T> operator+ (U x, const Vec<N,T>& y) { return Vec<N,T>(x) + y; }
SINTU Vec<N,T> operator- (U x, const Vec<N,T>& y) { return Vec<N,T>(x) - y; }
SINTU Vec<N,T> operator* (U x, const Vec<N,T>& y) { return Vec<N,T>(x) * y; }
SINTU Vec<N,T> operator/ (U x, const Vec<N,T>& y) { return Vec<N,T>(x) / y; }
SINTU Vec<N,T> operator^ (U x, const Vec<N,T>& y) { return Vec<N,T>(x) ^ y; }
SINTU Vec<N,T> operator& (U x, const Vec<N,T>& y) { return Vec<N,T>(x) & y; }
SINTU Vec<N,T> operator| (U x, const Vec<N,T>& y) { return Vec<N,T>(x) | y; }
SINTU Vec<N,M<T>> operator==(U x, const Vec<N,T>& y) { return Vec<N,T>(x) == y; }
SINTU Vec<N,M<T>> operator!=(U x, const Vec<N,T>& y) { return Vec<N,T>(x) != y; }
SINTU Vec<N,M<T>> operator<=(U x, const Vec<N,T>& y) { return Vec<N,T>(x) <= y; }
SINTU Vec<N,M<T>> operator>=(U x, const Vec<N,T>& y) { return Vec<N,T>(x) >= y; }
SINTU Vec<N,M<T>> operator< (U x, const Vec<N,T>& y) { return Vec<N,T>(x) < y; }
SINTU Vec<N,M<T>> operator> (U x, const Vec<N,T>& y) { return Vec<N,T>(x) > y; }
SINTU Vec<N,T> min(U x, const Vec<N,T>& y) { return min(Vec<N,T>(x), y); }
SINTU Vec<N,T> max(U x, const Vec<N,T>& y) { return max(Vec<N,T>(x), y); }
SINTU Vec<N,T> pow(U x, const Vec<N,T>& y) { return pow(Vec<N,T>(x), y); }
// ... and same deal for vector/scalar operations.
SINTU Vec<N,T> operator+ (const Vec<N,T>& x, U y) { return x + Vec<N,T>(y); }
SINTU Vec<N,T> operator- (const Vec<N,T>& x, U y) { return x - Vec<N,T>(y); }
SINTU Vec<N,T> operator* (const Vec<N,T>& x, U y) { return x * Vec<N,T>(y); }
SINTU Vec<N,T> operator/ (const Vec<N,T>& x, U y) { return x / Vec<N,T>(y); }
SINTU Vec<N,T> operator^ (const Vec<N,T>& x, U y) { return x ^ Vec<N,T>(y); }
SINTU Vec<N,T> operator& (const Vec<N,T>& x, U y) { return x & Vec<N,T>(y); }
SINTU Vec<N,T> operator| (const Vec<N,T>& x, U y) { return x | Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator==(const Vec<N,T>& x, U y) { return x == Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator!=(const Vec<N,T>& x, U y) { return x != Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator<=(const Vec<N,T>& x, U y) { return x <= Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator>=(const Vec<N,T>& x, U y) { return x >= Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator< (const Vec<N,T>& x, U y) { return x < Vec<N,T>(y); }
SINTU Vec<N,M<T>> operator> (const Vec<N,T>& x, U y) { return x > Vec<N,T>(y); }
SINTU Vec<N,T> min(const Vec<N,T>& x, U y) { return min(x, Vec<N,T>(y)); }
SINTU Vec<N,T> max(const Vec<N,T>& x, U y) { return max(x, Vec<N,T>(y)); }
SINTU Vec<N,T> pow(const Vec<N,T>& x, U y) { return pow(x, Vec<N,T>(y)); }
// All vector/scalar combinations for mad() with at least one vector.
SINTU Vec<N,T> mad(U f, const Vec<N,T>& m, const Vec<N,T>& a) { return Vec<N,T>(f)*m + a; }
SINTU Vec<N,T> mad(const Vec<N,T>& f, U m, const Vec<N,T>& a) { return f*Vec<N,T>(m) + a; }
SINTU Vec<N,T> mad(const Vec<N,T>& f, const Vec<N,T>& m, U a) { return f*m + Vec<N,T>(a); }
SINTU Vec<N,T> mad(const Vec<N,T>& f, U m, U a) { return f*Vec<N,T>(m) + Vec<N,T>(a); }
SINTU Vec<N,T> mad(U f, const Vec<N,T>& m, U a) { return Vec<N,T>(f)*m + Vec<N,T>(a); }
SINTU Vec<N,T> mad(U f, U m, const Vec<N,T>& a) { return Vec<N,T>(f)*Vec<N,T>(m) + a; }
// The various op= operators, for vectors...
SINT Vec<N,T>& operator+=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x + y); }
SINT Vec<N,T>& operator-=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x - y); }
SINT Vec<N,T>& operator*=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x * y); }
SINT Vec<N,T>& operator/=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x / y); }
SINT Vec<N,T>& operator^=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x ^ y); }
SINT Vec<N,T>& operator&=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x & y); }
SINT Vec<N,T>& operator|=(Vec<N,T>& x, const Vec<N,T>& y) { return (x = x | y); }
// ... for scalars...
SINTU Vec<N,T>& operator+=(Vec<N,T>& x, U y) { return (x = x + Vec<N,T>(y)); }
SINTU Vec<N,T>& operator-=(Vec<N,T>& x, U y) { return (x = x - Vec<N,T>(y)); }
SINTU Vec<N,T>& operator*=(Vec<N,T>& x, U y) { return (x = x * Vec<N,T>(y)); }
SINTU Vec<N,T>& operator/=(Vec<N,T>& x, U y) { return (x = x / Vec<N,T>(y)); }
SINTU Vec<N,T>& operator^=(Vec<N,T>& x, U y) { return (x = x ^ Vec<N,T>(y)); }
SINTU Vec<N,T>& operator&=(Vec<N,T>& x, U y) { return (x = x & Vec<N,T>(y)); }
SINTU Vec<N,T>& operator|=(Vec<N,T>& x, U y) { return (x = x | Vec<N,T>(y)); }
// ... and for shifts.
SINT Vec<N,T>& operator<<=(Vec<N,T>& x, int bits) { return (x = x << bits); }
SINT Vec<N,T>& operator>>=(Vec<N,T>& x, int bits) { return (x = x >> bits); }
// cast() Vec<N,S> to Vec<N,D>, as if applying a C-cast to each lane.
template <typename D, typename S>
static inline Vec<1,D> cast(const Vec<1,S>& src) { return (D)src.val; }
template <typename D, int N, typename S>
static inline Vec<N,D> cast(const Vec<N,S>& src) {
#if !defined(SKNX_NO_SIMD) && defined(__clang__)
return to_vec(__builtin_convertvector(to_vext(src), VExt<N,D>));
#else
return join(cast<D>(src.lo), cast<D>(src.hi));
#endif
}
// Shuffle values from a vector pretty arbitrarily:
// skvx::Vec<4,float> rgba = {R,G,B,A};
// shuffle<2,1,0,3> (rgba) ~> {B,G,R,A}
// shuffle<2,1> (rgba) ~> {B,G}
// shuffle<2,1,2,1,2,1,2,1>(rgba) ~> {B,G,B,G,B,G,B,G}
// shuffle<3,3,3,3> (rgba) ~> {A,A,A,A}
// The only real restriction is that the output also be a legal N=power-of-two sknx::Vec.
template <int... Ix, int N, typename T>
static inline Vec<sizeof...(Ix),T> shuffle(const Vec<N,T>& x) {
#if !defined(SKNX_NO_SIMD) && defined(__clang__)
return to_vec<sizeof...(Ix),T>(__builtin_shufflevector(to_vext(x), to_vext(x), Ix...));
#else
return { x[Ix]... };
#endif
}
// fma() delivers a fused mul-add, even if that's really expensive. Call it when you know it's not.
static inline Vec<1,float> fma(const Vec<1,float>& x,
const Vec<1,float>& y,
const Vec<1,float>& z) {
return std::fma(x.val, y.val, z.val);
}
template <int N>
static inline Vec<N,float> fma(const Vec<N,float>& x,
const Vec<N,float>& y,
const Vec<N,float>& z) {
return join(fma(x.lo, y.lo, z.lo),
fma(x.hi, y.hi, z.hi));
}
template <int N>
static inline Vec<N,float> fract(const Vec<N,float>& x) {
return x - floor(x);
}
// The default cases for to_half/from_half are borrowed from skcms,
// and assume inputs are finite and treat/flush denorm half floats as/to zero.
// Key constants to watch for:
// - a float is 32-bit, 1-8-23 sign-exponent-mantissa, with 127 exponent bias;
// - a half is 16-bit, 1-5-10 sign-exponent-mantissa, with 15 exponent bias.
template <int N>
static inline Vec<N,uint16_t> to_half_finite_ftz(const Vec<N,float>& x) {
Vec<N,uint32_t> sem = bit_pun<Vec<N,uint32_t>>(x),
s = sem & 0x8000'0000,
em = sem ^ s,
is_denorm = em < 0x3880'0000;
return cast<uint16_t>(if_then_else(is_denorm, Vec<N,uint32_t>(0)
, (s>>16) + (em>>13) - ((127-15)<<10)));
}
template <int N>
static inline Vec<N,float> from_half_finite_ftz(const Vec<N,uint16_t>& x) {
Vec<N,uint32_t> wide = cast<uint32_t>(x),
s = wide & 0x8000,
em = wide ^ s;
auto is_denorm = bit_pun<Vec<N,int32_t>>(em < 0x0400);
return if_then_else(is_denorm, Vec<N,float>(0)
, bit_pun<Vec<N,float>>( (s<<16) + (em<<13) + ((127-15)<<23) ));
}
// Like if_then_else(), these N=1 base cases won't actually be used unless explicitly called.
static inline Vec<1,uint16_t> to_half(const Vec<1,float>& x) { return to_half_finite_ftz(x); }
static inline Vec<1,float> from_half(const Vec<1,uint16_t>& x) { return from_half_finite_ftz(x); }
template <int N>
static inline Vec<N,uint16_t> to_half(const Vec<N,float>& x) {
#if defined(__F16C__)
if /*constexpr*/ (N == 8) {
return unchecked_bit_pun<Vec<N,uint16_t>>(_mm256_cvtps_ph(unchecked_bit_pun<__m256>(x),
_MM_FROUND_CUR_DIRECTION));
}
#endif
#if defined(__aarch64__)
if /*constexpr*/ (N == 4) {
return unchecked_bit_pun<Vec<N,uint16_t>>(vcvt_f16_f32(unchecked_bit_pun<float32x4_t>(x)));
}
#endif
if /*constexpr*/ (N > 4) {
return join(to_half(x.lo),
to_half(x.hi));
}
return to_half_finite_ftz(x);
}
template <int N>
static inline Vec<N,float> from_half(const Vec<N,uint16_t>& x) {
#if defined(__F16C__)
if /*constexpr*/ (N == 8) {
return unchecked_bit_pun<Vec<N,float>>(_mm256_cvtph_ps(unchecked_bit_pun<__m128i>(x)));
}
#endif
#if defined(__aarch64__)
if /*constexpr*/ (N == 4) {
return unchecked_bit_pun<Vec<N,float>>(vcvt_f32_f16(unchecked_bit_pun<uint16x4_t>(x)));
}
#endif
if /*constexpr*/ (N > 4) {
return join(from_half(x.lo),
from_half(x.hi));
}
return from_half_finite_ftz(x);
}
// div255(x) = (x + 127) / 255 is a bit-exact rounding divide-by-255, packing down to 8-bit.
template <int N>
static inline Vec<N,uint8_t> div255(const Vec<N,uint16_t>& x) {
return cast<uint8_t>( (x+127)/255 );
}
// approx_scale(x,y) approximates div255(cast<uint16_t>(x)*cast<uint16_t>(y)) within a bit,
// and is always perfect when x or y is 0 or 255.
template <int N>
static inline Vec<N,uint8_t> approx_scale(const Vec<N,uint8_t>& x, const Vec<N,uint8_t>& y) {
// All of (x*y+x)/256, (x*y+y)/256, and (x*y+255)/256 meet the criteria above.
// We happen to have historically picked (x*y+x)/256.
auto X = cast<uint16_t>(x),
Y = cast<uint16_t>(y);
return cast<uint8_t>( (X*Y+X)/256 );
}
#if !defined(SKNX_NO_SIMD) && defined(__ARM_NEON)
// With NEON we can do eight u8*u8 -> u16 in one instruction, vmull_u8 (read, mul-long).
static inline Vec<8,uint16_t> mull(const Vec<8,uint8_t>& x,
const Vec<8,uint8_t>& y) {
return to_vec<8,uint16_t>(vmull_u8(to_vext(x),
to_vext(y)));
}
template <int N>
static inline typename std::enable_if<(N < 8),
Vec<N,uint16_t>>::type mull(const Vec<N,uint8_t>& x,
const Vec<N,uint8_t>& y) {
// N < 8 --> double up data until N == 8, returning the part we need.
return mull(join(x,x),
join(y,y)).lo;
}
template <int N>
static inline typename std::enable_if<(N > 8),
Vec<N,uint16_t>>::type mull(const Vec<N,uint8_t>& x,
const Vec<N,uint8_t>& y) {
// N > 8 --> usual join(lo,hi) strategy to recurse down to N == 8.
return join(mull(x.lo, y.lo),
mull(x.hi, y.hi));
}
#else
// Nothing special when we don't have NEON... just cast up to 16-bit and multiply.
template <int N>
static inline Vec<N,uint16_t> mull(const Vec<N,uint8_t>& x,
const Vec<N,uint8_t>& y) {
return cast<uint16_t>(x)
* cast<uint16_t>(y);
}
#endif
#if !defined(SKNX_NO_SIMD)
// Platform-specific specializations and overloads can now drop in here.
#if defined(__AVX__)
static inline Vec<8,float> sqrt(const Vec<8,float>& x) {
return bit_pun<Vec<8,float>>(_mm256_sqrt_ps(bit_pun<__m256>(x)));
}
static inline Vec<8,float> rsqrt(const Vec<8,float>& x) {
return bit_pun<Vec<8,float>>(_mm256_rsqrt_ps(bit_pun<__m256>(x)));
}
static inline Vec<8,float> rcp(const Vec<8,float>& x) {
return bit_pun<Vec<8,float>>(_mm256_rcp_ps(bit_pun<__m256>(x)));
}
static inline Vec<8,int> lrint(const Vec<8,float>& x) {
return bit_pun<Vec<8,int>>(_mm256_cvtps_epi32(bit_pun<__m256>(x)));
}
#endif
#if defined(__SSE__)
static inline Vec<4,float> sqrt(const Vec<4,float>& x) {
return bit_pun<Vec<4,float>>(_mm_sqrt_ps(bit_pun<__m128>(x)));
}
static inline Vec<4,float> rsqrt(const Vec<4,float>& x) {
return bit_pun<Vec<4,float>>(_mm_rsqrt_ps(bit_pun<__m128>(x)));
}
static inline Vec<4,float> rcp(const Vec<4,float>& x) {
return bit_pun<Vec<4,float>>(_mm_rcp_ps(bit_pun<__m128>(x)));
}
static inline Vec<4,int> lrint(const Vec<4,float>& x) {
return bit_pun<Vec<4,int>>(_mm_cvtps_epi32(bit_pun<__m128>(x)));
}
static inline Vec<2,float> sqrt(const Vec<2,float>& x) {
return shuffle<0,1>( sqrt(shuffle<0,1,0,1>(x)));
}
static inline Vec<2,float> rsqrt(const Vec<2,float>& x) {
return shuffle<0,1>(rsqrt(shuffle<0,1,0,1>(x)));
}
static inline Vec<2,float> rcp(const Vec<2,float>& x) {
return shuffle<0,1>( rcp(shuffle<0,1,0,1>(x)));
}
static inline Vec<2,int> lrint(const Vec<2,float>& x) {
return shuffle<0,1>(lrint(shuffle<0,1,0,1>(x)));
}
#endif
#if defined(__AVX2__)
static inline Vec<4,float> fma(const Vec<4,float>& x,
const Vec<4,float>& y,
const Vec<4,float>& z) {
return bit_pun<Vec<4,float>>(_mm_fmadd_ps(bit_pun<__m128>(x),
bit_pun<__m128>(y),
bit_pun<__m128>(z)));
}
static inline Vec<8,float> fma(const Vec<8,float>& x,
const Vec<8,float>& y,
const Vec<8,float>& z) {
return bit_pun<Vec<8,float>>(_mm256_fmadd_ps(bit_pun<__m256>(x),
bit_pun<__m256>(y),
bit_pun<__m256>(z)));
}
#elif defined(__aarch64__)
static inline Vec<4,float> fma(const Vec<4,float>& x,
const Vec<4,float>& y,
const Vec<4,float>& z) {
// These instructions tend to work like z += xy, so the order here is z,x,y.
return bit_pun<Vec<4,float>>(vfmaq_f32(bit_pun<float32x4_t>(z),
bit_pun<float32x4_t>(x),
bit_pun<float32x4_t>(y)));
}
#endif
// WASM SIMD compatible operations which are not automatically compiled to SIMD commands
// by emscripten:
#if defined __wasm_simd128__
static inline Vec<4,float> min(const Vec<4,float>& x, const Vec<4,float>& y) {
return to_vec<4,float>(wasm_f32x4_min(to_vext(x), to_vext(y)));
}
static inline Vec<4,float> max(const Vec<4,float>& x, const Vec<4,float>& y) {
return to_vec<4,float>(wasm_f32x4_max(to_vext(x), to_vext(y)));
}
static inline Vec<4,float> sqrt(const Vec<4,float>& x) {
return to_vec<4,float>(wasm_f32x4_sqrt(to_vext(x)));
}
static inline Vec<4,float> abs(const Vec<4,float>& x) {
return to_vec<4,float>(wasm_f32x4_abs(to_vext(x)));
}
static inline Vec<4,float> rcp(const Vec<4,float>& x) {
return 1.0f / x;
}
static inline Vec<4,float> rsqrt(const Vec<4,float>& x) {
return 1.0f / sqrt(x);
}
static inline Vec<4,float> mad(const Vec<4,float>& f,
const Vec<4,float>& m,
const Vec<4,float>& a) {
return f*m+a;
}
static inline Vec<2,double> min(const Vec<2,double>& x, const Vec<2,double>& y) {
return to_vec<2,double>(wasm_f64x2_min(to_vext(x), to_vext(y)));
}
static inline Vec<2,double> max(const Vec<2,double>& x, const Vec<2,double>& y) {
return to_vec<2,double>(wasm_f64x2_max(to_vext(x), to_vext(y)));
}
static inline Vec<2,double> sqrt(const Vec<2,double>& x) {
return to_vec<2,double>(wasm_f64x2_sqrt(to_vext(x)));
}
static inline Vec<2,double> abs(const Vec<2,double>& x) {
return to_vec<2,double>(wasm_f64x2_abs(to_vext(x)));
}
static inline Vec<2,double> rcp(const Vec<2,double>& x) {
return 1.0f / x;
}
static inline Vec<2,double> rsqrt(const Vec<2,double>& x) {
return 1.0f / sqrt(x);
}
static inline Vec<2,double> mad(const Vec<2,double>& f,
const Vec<2,double>& m,
const Vec<2,double>& a) {
return to_vec<2,double>(wasm_f64x2_add(
wasm_f64x2_mul(to_vext(f), to_vext(m)),
to_vext(a)
));
}
static inline bool any(const Vec<4,int32_t>& x) {
return wasm_i32x4_any_true(to_vext(x));
}
static inline bool all(const Vec<4,int32_t>& x) {
return wasm_i32x4_all_true(to_vext(x));
}
static inline Vec<4,int32_t> min(const Vec<4,int32_t>& x, const Vec<4,int32_t>& y) {
return to_vec<4,int32_t>(wasm_i32x4_min(to_vext(x), to_vext(y)));
}
static inline Vec<4,int32_t> max(const Vec<4,int32_t>& x, const Vec<4,int32_t>& y) {
return to_vec<4,int32_t>(wasm_i32x4_max(to_vext(x), to_vext(y)));
}
static inline Vec<4,int32_t> abs(const Vec<4,int32_t>& x) {
return to_vec<4,int32_t>(wasm_i32x4_abs(to_vext(x)));
}
static inline bool any(const Vec<4,uint32_t>& x) {
return wasm_i32x4_any_true(to_vext(x));
}
static inline bool all(const Vec<4,uint32_t>& x) {
return wasm_i32x4_all_true(to_vext(x));
}
static inline Vec<4,uint32_t> min(const Vec<4,uint32_t>& x,
const Vec<4,uint32_t>& y) {
return to_vec<4,uint32_t>(wasm_u32x4_min(to_vext(x), to_vext(y)));
}
static inline Vec<4,uint32_t> max(const Vec<4,uint32_t>& x,
const Vec<4,uint32_t>& y) {
return to_vec<4,uint32_t>(wasm_u32x4_max(to_vext(x), to_vext(y)));
}
#endif
#endif // !defined(SKNX_NO_SIMD)
} // namespace skvx
#undef SINTU
#undef SINT
#undef SIT
#undef SKVX_ALIGNMENT
#endif//SKVX_DEFINED
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