wasm SIMD

This commit is contained in:
Jorijn van der Graaf 2026-05-18 05:23:49 +02:00
commit 48e3b8e26c
4 changed files with 803 additions and 12 deletions

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@ -20,6 +20,9 @@ module;
#ifdef __x86_64
#include <immintrin.h>
#endif
#ifdef __wasm_simd128__
#include <wasm_simd128.h>
#endif
export module Crafter.Math:VectorF32;
import std;
import :Common;
@ -1383,10 +1386,519 @@ namespace Crafter {
return row1;
}
};
#elif defined(__wasm_simd128__)
// WebAssembly SIMD128 implementation. VectorType is always v128_t and we
// cap Len*Packing*sizeof(float) at 16 bytes (i.e. up to 4 floats per
// vector) in Common.cppm so a single v128_t covers every instantiation.
// Operations without a direct SIMD equivalent (Shuffle with runtime indices,
// transcendentals, etc.) round-trip through a float[4] scratch buffer.
export template <std::uint8_t Len, std::uint8_t Packing>
struct VectorF32 : public VectorBase<Len, Packing, float> {
template <std::uint8_t Len2, std::uint8_t Packing2>
friend struct VectorF32;
using Base = VectorBase<Len, Packing, float>;
static constexpr std::uint8_t NElems = Base::AlignmentElement;
static_assert(NElems == 4, "WASM SIMD VectorF32 assumes 4-lane vectors");
constexpr VectorF32() = default;
constexpr VectorF32(v128_t vv) { this->v = vv; }
constexpr VectorF32(const float* vB) { Load(vB); }
constexpr VectorF32(float val) { this->v = wasm_f32x4_splat(val); }
constexpr void Load(const float* vB) { this->v = wasm_v128_load(vB); }
constexpr void Store(float* vB) const { wasm_v128_store(vB, this->v); }
template<typename T>
constexpr std::array<T, NElems> Store() const {
std::array<T, NElems> r{};
Store(r.data());
return r;
}
template <std::uint8_t BLen, std::uint8_t BPacking>
constexpr operator VectorF32<BLen, BPacking>() const {
alignas(16) float tmp[4];
wasm_v128_store(tmp, this->v);
alignas(16) float out[4] = {0,0,0,0};
const std::uint8_t copyLen = (BLen < Len) ? BLen : Len;
const std::uint8_t copyPack = (BPacking < Packing) ? BPacking : Packing;
for (std::uint8_t p = 0; p < copyPack; ++p)
for (std::uint8_t i = 0; i < copyLen; ++i)
out[p * BLen + i] = tmp[p * Len + i];
return VectorF32<BLen, BPacking>(wasm_v128_load(out));
}
constexpr VectorF32<Len, Packing> operator+(VectorF32<Len, Packing> b) const { return VectorF32<Len, Packing>(wasm_f32x4_add(this->v, b.v)); }
constexpr VectorF32<Len, Packing> operator-(VectorF32<Len, Packing> b) const { return VectorF32<Len, Packing>(wasm_f32x4_sub(this->v, b.v)); }
constexpr VectorF32<Len, Packing> operator*(VectorF32<Len, Packing> b) const { return VectorF32<Len, Packing>(wasm_f32x4_mul(this->v, b.v)); }
constexpr VectorF32<Len, Packing> operator/(VectorF32<Len, Packing> b) const { return VectorF32<Len, Packing>(wasm_f32x4_div(this->v, b.v)); }
constexpr void operator+=(VectorF32<Len, Packing> b) { this->v = wasm_f32x4_add(this->v, b.v); }
constexpr void operator-=(VectorF32<Len, Packing> b) { this->v = wasm_f32x4_sub(this->v, b.v); }
constexpr void operator*=(VectorF32<Len, Packing> b) { this->v = wasm_f32x4_mul(this->v, b.v); }
constexpr void operator/=(VectorF32<Len, Packing> b) { this->v = wasm_f32x4_div(this->v, b.v); }
constexpr VectorF32<Len, Packing> operator+(float b) const { return *this + VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator-(float b) const { return *this - VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator*(float b) const { return *this * VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator/(float b) const { return *this / VectorF32<Len, Packing>(b); }
constexpr void operator+=(float b) { *this += VectorF32<Len, Packing>(b); }
constexpr void operator-=(float b) { *this -= VectorF32<Len, Packing>(b); }
constexpr void operator*=(float b) { *this *= VectorF32<Len, Packing>(b); }
constexpr void operator/=(float b) { *this /= VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator-() const { return VectorF32<Len, Packing>(wasm_f32x4_neg(this->v)); }
constexpr bool operator==(VectorF32<Len, Packing> b) const {
return wasm_i32x4_bitmask(wasm_f32x4_eq(this->v, b.v)) == 0b1111;
}
constexpr bool operator!=(VectorF32<Len, Packing> b) const { return !(*this == b); }
template<std::uint32_t ExtractLen>
constexpr VectorF32<ExtractLen, Packing> ExtractLo() const {
alignas(16) float tmp[4]; wasm_v128_store(tmp, this->v);
alignas(16) float out[4] = {0,0,0,0};
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < ExtractLen; ++i)
out[p * ExtractLen + i] = tmp[p * Len + i];
return VectorF32<ExtractLen, Packing>(wasm_v128_load(out));
}
constexpr VectorF32<Len, Packing> Cos() const {
alignas(16) float tmp[4]; wasm_v128_store(tmp, this->v);
for (int i = 0; i < 4; ++i) tmp[i] = std::cos(tmp[i]);
return VectorF32<Len, Packing>(wasm_v128_load(tmp));
}
constexpr VectorF32<Len, Packing> Sin() const {
alignas(16) float tmp[4]; wasm_v128_store(tmp, this->v);
for (int i = 0; i < 4; ++i) tmp[i] = std::sin(tmp[i]);
return VectorF32<Len, Packing>(wasm_v128_load(tmp));
}
constexpr std::tuple<VectorF32<Len, Packing>, VectorF32<Len, Packing>> SinCos() const {
return { Sin(), Cos() };
}
template <std::array<bool, Len> values>
constexpr VectorF32<Len, Packing> Negate() const {
constexpr auto mask = []() {
std::array<std::uint32_t, 4> m{};
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
m[p * Len + i] = values[i] ? 0x80000000u : 0u;
return m;
}();
v128_t maskVec = wasm_v128_load(mask.data());
return VectorF32<Len, Packing>(wasm_v128_xor(this->v, maskVec));
}
static constexpr VectorF32<Len, Packing> MulitplyAdd(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b, VectorF32<Len, Packing> add) {
#ifdef __wasm_relaxed_simd__
// Single-rounded FMA (a*b + c). Host-defined when FMA hardware is
// missing — accuracy may differ from the strict-SIMD wasm path.
return VectorF32<Len, Packing>(wasm_f32x4_relaxed_madd(a.v, b.v, add.v));
#else
return VectorF32<Len, Packing>(wasm_f32x4_add(wasm_f32x4_mul(a.v, b.v), add.v));
#endif
}
static constexpr VectorF32<Len, Packing> MulitplySub(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b, VectorF32<Len, Packing> sub) {
#ifdef __wasm_relaxed_simd__
// a*b - c is fused as madd(a, b, -c) — same op count as mul+sub
// but one rounding instead of two.
return VectorF32<Len, Packing>(wasm_f32x4_relaxed_madd(a.v, b.v, wasm_f32x4_neg(sub.v)));
#else
return VectorF32<Len, Packing>(wasm_f32x4_sub(wasm_f32x4_mul(a.v, b.v), sub.v));
#endif
}
constexpr static VectorF32<Len, Packing> Cross(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b) requires(Len == 3) {
v128_t a_yzx = wasm_i32x4_shuffle(a.v, a.v, 1, 2, 0, 3);
v128_t a_zxy = wasm_i32x4_shuffle(a.v, a.v, 2, 0, 1, 3);
v128_t b_yzx = wasm_i32x4_shuffle(b.v, b.v, 1, 2, 0, 3);
v128_t b_zxy = wasm_i32x4_shuffle(b.v, b.v, 2, 0, 1, 3);
#ifdef __wasm_relaxed_simd__
// a_yzx*b_zxy - a_zxy*b_yzx fused as nmadd(a_zxy, b_yzx, a_yzx*b_zxy)
// = -(a_zxy*b_yzx) + a_yzx*b_zxy. Replaces a mul+sub pair with a
// single FMA.
return VectorF32<Len, Packing>(wasm_f32x4_relaxed_nmadd(a_zxy, b_yzx, wasm_f32x4_mul(a_yzx, b_zxy)));
#else
return VectorF32<Len, Packing>(wasm_f32x4_sub(wasm_f32x4_mul(a_yzx, b_zxy), wasm_f32x4_mul(a_zxy, b_yzx)));
#endif
}
template <const std::array<std::uint8_t, Len> ShuffleValues>
constexpr VectorF32<Len, Packing> Shuffle() const {
alignas(16) float tmp[4]; wasm_v128_store(tmp, this->v);
alignas(16) float out[4] = {0,0,0,0};
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
out[p * Len + i] = tmp[p * Len + ShuffleValues[i]];
return VectorF32<Len, Packing>(wasm_v128_load(out));
}
template <std::array<bool, Len> ShuffleValues>
constexpr static VectorF32<Len, Packing> Blend(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b) {
constexpr auto mask = []() {
std::array<std::uint32_t, 4> m{};
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
m[p * Len + i] = ShuffleValues[i] ? 0xFFFFFFFFu : 0u;
return m;
}();
v128_t maskVec = wasm_v128_load(mask.data());
return VectorF32<Len, Packing>(wasm_v128_bitselect(b.v, a.v, maskVec));
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto LengthSq(VectorF32<Len, Packing> first, Rest... rest) {
constexpr std::uint8_t N = 1 + sizeof...(Rest);
VectorF32<1, static_cast<std::uint8_t>(Packing * N)> r;
std::array<VectorF32<Len, Packing>, N> args{ first, rest... };
alignas(16) float buf[4] = {0,0,0,0};
for (std::uint8_t i = 0; i < N; ++i) {
alignas(16) float tmp[4];
wasm_v128_store(tmp, args[i].v);
for (std::uint8_t p = 0; p < Packing; ++p) {
float acc = 0.0f;
for (std::uint8_t k = 0; k < Len; ++k) {
float x = tmp[p * Len + k];
acc += x * x;
}
buf[i * Packing + p] = acc;
}
}
r.v = wasm_v128_load(buf);
return r;
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto Length(VectorF32<Len, Packing> first, Rest... rest) {
auto sq = LengthSq(first, rest...);
sq.v = wasm_f32x4_sqrt(sq.v);
return sq;
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto Normalize(VectorF32<Len, Packing> first, Rest... rest) {
auto normOne = [](VectorF32<Len, Packing> u) {
alignas(16) float tmp[4]; wasm_v128_store(tmp, u.v);
alignas(16) float out[4] = {0,0,0,0};
for (std::uint8_t p = 0; p < Packing; ++p) {
float acc = 0.0f;
for (std::uint8_t k = 0; k < Len; ++k) {
float x = tmp[p * Len + k];
acc += x * x;
}
float invLen = acc > 0.0f ? 1.0f / std::sqrt(acc) : 0.0f;
for (std::uint8_t k = 0; k < Len; ++k)
out[p * Len + k] = tmp[p * Len + k] * invLen;
}
return VectorF32<Len, Packing>(wasm_v128_load(out));
};
return std::make_tuple(normOne(first), normOne(rest)...);
}
constexpr static VectorF32<Len, Packing> Rotate(VectorF32<3, Packing> v, VectorF32<4, Packing> q) requires(Len == 3) {
alignas(16) float qBuf[4]; wasm_v128_store(qBuf, q.v);
alignas(16) float qvBuf[4] = {0,0,0,0};
alignas(16) float qwBuf[4] = {0,0,0,0};
for (std::uint8_t p = 0; p < Packing; ++p) {
qvBuf[p * 3 + 0] = qBuf[p * 4 + 0];
qvBuf[p * 3 + 1] = qBuf[p * 4 + 1];
qvBuf[p * 3 + 2] = qBuf[p * 4 + 2];
for (std::uint8_t i = 0; i < 3; ++i) qwBuf[p * 3 + i] = qBuf[p * 4 + 3];
}
VectorF32<3, Packing> qv(wasm_v128_load(qvBuf));
VectorF32<3, Packing> qwBroadcast(wasm_v128_load(qwBuf));
VectorF32<3, Packing> t = Cross(qv, v) * 2.0f;
return v + t * qwBroadcast + Cross(qv, t);
}
constexpr static VectorF32<3, Packing> RotatePivot(VectorF32<3, Packing> v, VectorF32<4, Packing> q, VectorF32<3, Packing> pivot) requires(Len == 3) {
VectorF32<3, Packing> translated = v - pivot;
return Rotate(translated, q) + pivot;
}
constexpr static VectorF32<4, Packing> QuanternionFromEuler(VectorF32<3, Packing> eulerHalf) requires(Len == 4) {
alignas(16) float eulerBuf[4]; wasm_v128_store(eulerBuf, eulerHalf.v);
alignas(16) float outBuf[4] = {0,0,0,0};
for (std::uint8_t p = 0; p < Packing; ++p) {
float roll = eulerBuf[p * 3 + 0];
float pitch = eulerBuf[p * 3 + 1];
float yaw = eulerBuf[p * 3 + 2];
float sr = std::sin(roll), cr = std::cos(roll);
float sp = std::sin(pitch), cp = std::cos(pitch);
float sy = std::sin(yaw), cy = std::cos(yaw);
outBuf[p * 4 + 0] = sr * cp * cy - cr * sp * sy;
outBuf[p * 4 + 1] = cr * sp * cy + sr * cp * sy;
outBuf[p * 4 + 2] = cr * cp * sy - sr * sp * cy;
outBuf[p * 4 + 3] = cr * cp * cy + sr * sp * sy;
}
return VectorF32<4, Packing>(wasm_v128_load(outBuf));
}
};
#else
// Scalar software fallback for non-x86_64 targets. Future arches can swap
// in their own intrinsic implementation by adding an arch-specific branch
// above and gating this one out.
export template <std::uint8_t Len, std::uint8_t Packing>
struct VectorF32 : public VectorBase<Len, Packing, float> {
template <std::uint8_t Len2, std::uint8_t Packing2>
friend struct VectorF32;
using Base = VectorBase<Len, Packing, float>;
static constexpr std::uint8_t NElems = Base::AlignmentElement;
constexpr VectorF32() = default;
constexpr VectorF32(typename Base::VectorType vv) {
this->v = vv;
}
constexpr VectorF32(const float* vB) { Load(vB); }
#ifdef __FLT16_MAX__
constexpr VectorF32(const _Float16* vB) { Load(vB); }
#endif
constexpr VectorF32(float val) {
for (std::uint8_t i = 0; i < NElems; ++i) this->v[i] = val;
}
constexpr void Load(const float* vB) {
for (std::uint8_t i = 0; i < NElems; ++i) this->v[i] = vB[i];
}
constexpr void Store(float* vB) const {
for (std::uint8_t i = 0; i < NElems; ++i) vB[i] = this->v[i];
}
#ifdef __FLT16_MAX__
constexpr void Load(const _Float16* vB) {
for (std::uint8_t i = 0; i < NElems; ++i) this->v[i] = static_cast<float>(vB[i]);
}
constexpr void Store(_Float16* vB) const {
for (std::uint8_t i = 0; i < NElems; ++i) vB[i] = static_cast<_Float16>(this->v[i]);
}
#endif
template<typename T>
constexpr std::array<T, NElems> Store() const {
std::array<T, NElems> r{};
Store(r.data());
return r;
}
template <std::uint8_t BLen, std::uint8_t BPacking>
constexpr operator VectorF32<BLen, BPacking>() const {
VectorF32<BLen, BPacking> r;
const std::uint8_t copyLen = (BLen < Len) ? BLen : Len;
const std::uint8_t copyPack = (BPacking < Packing) ? BPacking : Packing;
for (std::uint8_t p = 0; p < copyPack; ++p)
for (std::uint8_t i = 0; i < copyLen; ++i)
r.v[p * BLen + i] = this->v[p * Len + i];
return r;
}
constexpr VectorF32<Len, Packing> operator+(VectorF32<Len, Packing> b) const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = this->v[i] + b.v[i];
return r;
}
constexpr VectorF32<Len, Packing> operator-(VectorF32<Len, Packing> b) const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = this->v[i] - b.v[i];
return r;
}
constexpr VectorF32<Len, Packing> operator*(VectorF32<Len, Packing> b) const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = this->v[i] * b.v[i];
return r;
}
constexpr VectorF32<Len, Packing> operator/(VectorF32<Len, Packing> b) const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = this->v[i] / b.v[i];
return r;
}
constexpr void operator+=(VectorF32<Len, Packing> b) { for (std::uint8_t i=0;i<NElems;++i) this->v[i] += b.v[i]; }
constexpr void operator-=(VectorF32<Len, Packing> b) { for (std::uint8_t i=0;i<NElems;++i) this->v[i] -= b.v[i]; }
constexpr void operator*=(VectorF32<Len, Packing> b) { for (std::uint8_t i=0;i<NElems;++i) this->v[i] *= b.v[i]; }
constexpr void operator/=(VectorF32<Len, Packing> b) { for (std::uint8_t i=0;i<NElems;++i) this->v[i] /= b.v[i]; }
constexpr VectorF32<Len, Packing> operator+(float b) const { return *this + VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator-(float b) const { return *this - VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator*(float b) const { return *this * VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator/(float b) const { return *this / VectorF32<Len, Packing>(b); }
constexpr void operator+=(float b) { *this += VectorF32<Len, Packing>(b); }
constexpr void operator-=(float b) { *this -= VectorF32<Len, Packing>(b); }
constexpr void operator*=(float b) { *this *= VectorF32<Len, Packing>(b); }
constexpr void operator/=(float b) { *this /= VectorF32<Len, Packing>(b); }
constexpr VectorF32<Len, Packing> operator-() const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = -this->v[i];
return r;
}
constexpr bool operator==(VectorF32<Len, Packing> b) const {
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
if (this->v[p * Len + i] != b.v[p * Len + i]) return false;
return true;
}
constexpr bool operator!=(VectorF32<Len, Packing> b) const { return !(*this == b); }
template<std::uint32_t ExtractLen>
constexpr VectorF32<ExtractLen, Packing> ExtractLo() const {
VectorF32<ExtractLen, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < ExtractLen; ++i)
r.v[p * ExtractLen + i] = this->v[p * Len + i];
return r;
}
constexpr VectorF32<Len, Packing> Cos() const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = std::cos(this->v[i]);
return r;
}
constexpr VectorF32<Len, Packing> Sin() const {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = std::sin(this->v[i]);
return r;
}
constexpr std::tuple<VectorF32<Len, Packing>, VectorF32<Len, Packing>> SinCos() const {
return { Sin(), Cos() };
}
template <std::array<bool, Len> values>
constexpr VectorF32<Len, Packing> Negate() const {
VectorF32<Len, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
r.v[p * Len + i] = values[i] ? -this->v[p * Len + i] : this->v[p * Len + i];
return r;
}
static constexpr VectorF32<Len, Packing> MulitplyAdd(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b, VectorF32<Len, Packing> add) {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = a.v[i] * b.v[i] + add.v[i];
return r;
}
static constexpr VectorF32<Len, Packing> MulitplySub(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b, VectorF32<Len, Packing> sub) {
VectorF32<Len, Packing> r;
for (std::uint8_t i = 0; i < NElems; ++i) r.v[i] = a.v[i] * b.v[i] - sub.v[i];
return r;
}
constexpr static VectorF32<Len, Packing> Cross(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b) requires(Len == 3) {
VectorF32<Len, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p) {
const std::uint8_t base = p * 3;
r.v[base + 0] = a.v[base + 1] * b.v[base + 2] - a.v[base + 2] * b.v[base + 1];
r.v[base + 1] = a.v[base + 2] * b.v[base + 0] - a.v[base + 0] * b.v[base + 2];
r.v[base + 2] = a.v[base + 0] * b.v[base + 1] - a.v[base + 1] * b.v[base + 0];
}
return r;
}
template <const std::array<std::uint8_t, Len> ShuffleValues>
constexpr VectorF32<Len, Packing> Shuffle() const {
VectorF32<Len, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
r.v[p * Len + i] = this->v[p * Len + ShuffleValues[i]];
return r;
}
template <std::array<bool, Len> ShuffleValues>
constexpr static VectorF32<Len, Packing> Blend(VectorF32<Len, Packing> a, VectorF32<Len, Packing> b) {
VectorF32<Len, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p)
for (std::uint8_t i = 0; i < Len; ++i)
r.v[p * Len + i] = ShuffleValues[i] ? b.v[p * Len + i] : a.v[p * Len + i];
return r;
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto LengthSq(VectorF32<Len, Packing> first, Rest... rest) {
constexpr std::uint8_t N = 1 + sizeof...(Rest);
VectorF32<1, static_cast<std::uint8_t>(Packing * N)> r;
std::array<VectorF32<Len, Packing>, N> args{ first, rest... };
for (std::uint8_t i = 0; i < N; ++i)
for (std::uint8_t p = 0; p < Packing; ++p) {
float acc = 0.0f;
for (std::uint8_t k = 0; k < Len; ++k) {
float x = args[i].v[p * Len + k];
acc += x * x;
}
r.v[i * Packing + p] = acc;
}
return r;
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto Length(VectorF32<Len, Packing> first, Rest... rest) {
auto sq = LengthSq(first, rest...);
for (std::uint8_t i = 0; i < decltype(sq)::NElems; ++i) sq.v[i] = std::sqrt(sq.v[i]);
return sq;
}
template<typename... Rest>
requires((std::is_same_v<Rest, VectorF32<Len, Packing>> && ...))
constexpr static auto Normalize(VectorF32<Len, Packing> first, Rest... rest) {
auto normOne = [](VectorF32<Len, Packing> u) {
VectorF32<Len, Packing> out;
for (std::uint8_t p = 0; p < Packing; ++p) {
float acc = 0.0f;
for (std::uint8_t k = 0; k < Len; ++k) {
float x = u.v[p * Len + k];
acc += x * x;
}
float invLen = acc > 0.0f ? 1.0f / std::sqrt(acc) : 0.0f;
for (std::uint8_t k = 0; k < Len; ++k)
out.v[p * Len + k] = u.v[p * Len + k] * invLen;
}
return out;
};
return std::make_tuple(normOne(first), normOne(rest)...);
}
constexpr static VectorF32<Len, Packing> Rotate(VectorF32<3, Packing> v, VectorF32<4, Packing> q) requires(Len == 3) {
VectorF32<3, Packing> qv;
VectorF32<3, Packing> qwBroadcast;
for (std::uint8_t p = 0; p < Packing; ++p) {
qv.v[p * 3 + 0] = q.v[p * 4 + 0];
qv.v[p * 3 + 1] = q.v[p * 4 + 1];
qv.v[p * 3 + 2] = q.v[p * 4 + 2];
for (std::uint8_t i = 0; i < 3; ++i) qwBroadcast.v[p * 3 + i] = q.v[p * 4 + 3];
}
VectorF32<3, Packing> t = Cross(qv, v) * 2.0f;
return v + t * qwBroadcast + Cross(qv, t);
}
constexpr static VectorF32<3, Packing> RotatePivot(VectorF32<3, Packing> v, VectorF32<4, Packing> q, VectorF32<3, Packing> pivot) requires(Len == 3) {
VectorF32<3, Packing> translated = v - pivot;
return Rotate(translated, q) + pivot;
}
constexpr static VectorF32<4, Packing> QuanternionFromEuler(VectorF32<3, Packing> eulerHalf) requires(Len == 4) {
VectorF32<4, Packing> r;
for (std::uint8_t p = 0; p < Packing; ++p) {
float roll = eulerHalf.v[p * 3 + 0];
float pitch = eulerHalf.v[p * 3 + 1];
float yaw = eulerHalf.v[p * 3 + 2];
float sr = std::sin(roll), cr = std::cos(roll);
float sp = std::sin(pitch), cp = std::cos(pitch);
float sy = std::sin(yaw), cy = std::cos(yaw);
r.v[p * 4 + 0] = sr * cp * cy - cr * sp * sy;
r.v[p * 4 + 1] = cr * sp * cy + sr * cp * sy;
r.v[p * 4 + 2] = cr * cp * sy - sr * sp * cy;
r.v[p * 4 + 3] = cr * cp * cy + sr * sp * sy;
}
return r;
}
};
#endif
}
#ifdef __x86_64
export template <std::uint32_t Len, std::uint32_t Packing>
struct std::formatter<Crafter::VectorF32<Len, Packing>> : std::formatter<std::string> {
constexpr auto format(const Crafter::VectorF32<Len, Packing>& obj, format_context& ctx) const {
@ -1403,5 +1915,4 @@ struct std::formatter<Crafter::VectorF32<Len, Packing>> : std::formatter<std::st
out += "}";
return std::formatter<std::string>::format(out, ctx);
}
};
#endif
};