// Copyright 2009-2021 Intel Corporation // SPDX-License-Identifier: Apache-2.0 #pragma once #define vboolf vboolf_impl #define vboold vboold_impl #define vint vint_impl #define vuint vuint_impl #define vllong vllong_impl #define vfloat vfloat_impl #define vdouble vdouble_impl namespace embree { /* 16-wide AVX-512 float type */ template<> struct vfloat<16> { ALIGNED_STRUCT_(64); typedef vboolf16 Bool; typedef vint16 Int; typedef vfloat16 Float; enum { size = 16 }; // number of SIMD elements union { // data __m512 v; float f[16]; int i[16]; }; //////////////////////////////////////////////////////////////////////////////// /// Constructors, Assignment & Cast Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat() {} __forceinline vfloat(const vfloat16& t) { v = t; } __forceinline vfloat16& operator =(const vfloat16& f) { v = f.v; return *this; } __forceinline vfloat(const __m512& t) { v = t; } __forceinline operator __m512() const { return v; } __forceinline operator __m256() const { return _mm512_castps512_ps256(v); } __forceinline operator __m128() const { return _mm512_castps512_ps128(v); } __forceinline vfloat(float f) { v = _mm512_set1_ps(f); } __forceinline vfloat(float a, float b, float c, float d) { v = _mm512_set4_ps(a, b, c, d); } __forceinline vfloat(const vfloat4& i) { v = _mm512_broadcast_f32x4(i); } __forceinline vfloat(const vfloat4& a, const vfloat4& b, const vfloat4& c, const vfloat4& d) { v = _mm512_castps128_ps512(a); v = _mm512_insertf32x4(v, b, 1); v = _mm512_insertf32x4(v, c, 2); v = _mm512_insertf32x4(v, d, 3); } __forceinline vfloat(const vboolf16& mask, const vfloat4& a, const vfloat4& b) { v = _mm512_broadcast_f32x4(a); v = _mm512_mask_broadcast_f32x4(v,mask,b); } __forceinline vfloat(const vfloat8& i) { v = _mm512_castpd_ps(_mm512_broadcast_f64x4(_mm256_castps_pd(i))); } __forceinline vfloat(const vfloat8& a, const vfloat8& b) { v = _mm512_castps256_ps512(a); #if defined(__AVX512DQ__) v = _mm512_insertf32x8(v, b, 1); #else v = _mm512_castpd_ps(_mm512_insertf64x4(_mm512_castps_pd(v), _mm256_castps_pd(b), 1)); #endif } /* WARNING: due to f64x4 the mask is considered as an 8bit mask */ /*__forceinline vfloat(const vboolf16& mask, const vfloat8& a, const vfloat8& b) { __m512d aa = _mm512_broadcast_f64x4(_mm256_castps_pd(a)); aa = _mm512_mask_broadcast_f64x4(aa,mask,_mm256_castps_pd(b)); v = _mm512_castpd_ps(aa); }*/ __forceinline explicit vfloat(const vint16& a) { v = _mm512_cvtepi32_ps(a); } __forceinline explicit vfloat(const vuint16& a) { v = _mm512_cvtepu32_ps(a); } //////////////////////////////////////////////////////////////////////////////// /// Constants //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat(ZeroTy) : v(_mm512_setzero_ps()) {} __forceinline vfloat(OneTy) : v(_mm512_set1_ps(1.0f)) {} __forceinline vfloat(PosInfTy) : v(_mm512_set1_ps(pos_inf)) {} __forceinline vfloat(NegInfTy) : v(_mm512_set1_ps(neg_inf)) {} __forceinline vfloat(StepTy) : v(_mm512_set_ps(15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0)) {} __forceinline vfloat(NaNTy) : v(_mm512_set1_ps(nan)) {} __forceinline vfloat(UndefinedTy) : v(_mm512_undefined_ps()) {} //////////////////////////////////////////////////////////////////////////////// /// Loads and Stores //////////////////////////////////////////////////////////////////////////////// static __forceinline vfloat16 load (const void* ptr) { return _mm512_load_ps((float*)ptr); } static __forceinline vfloat16 loadu(const void* ptr) { return _mm512_loadu_ps((float*)ptr); } static __forceinline vfloat16 load (const vboolf16& mask, const void* ptr) { return _mm512_mask_load_ps (_mm512_setzero_ps(),mask,(float*)ptr); } static __forceinline vfloat16 loadu(const vboolf16& mask, const void* ptr) { return _mm512_mask_loadu_ps(_mm512_setzero_ps(),mask,(float*)ptr); } static __forceinline void store (void* ptr, const vfloat16& v) { _mm512_store_ps ((float*)ptr,v); } static __forceinline void storeu(void* ptr, const vfloat16& v) { _mm512_storeu_ps((float*)ptr,v); } static __forceinline void store (const vboolf16& mask, void* ptr, const vfloat16& v) { _mm512_mask_store_ps ((float*)ptr,mask,v); } static __forceinline void storeu(const vboolf16& mask, void* ptr, const vfloat16& v) { _mm512_mask_storeu_ps((float*)ptr,mask,v); } static __forceinline void store_nt(void* __restrict__ ptr, const vfloat16& a) { _mm512_stream_ps((float*)ptr,a); } static __forceinline vfloat16 broadcast(const float* f) { return _mm512_set1_ps(*f); } template<int scale = 4> static __forceinline vfloat16 gather(const float* ptr, const vint16& index) { return _mm512_i32gather_ps(index, ptr, scale); } template<int scale = 4> static __forceinline vfloat16 gather(const vboolf16& mask, const float* ptr, const vint16& index) { vfloat16 r = zero; return _mm512_mask_i32gather_ps(r, mask, index, ptr, scale); } template<int scale = 4> static __forceinline void scatter(float* ptr, const vint16& index, const vfloat16& v) { _mm512_i32scatter_ps(ptr, index, v, scale); } template<int scale = 4> static __forceinline void scatter(const vboolf16& mask, float* ptr, const vint16& index, const vfloat16& v) { _mm512_mask_i32scatter_ps(ptr, mask, index, v, scale); } //////////////////////////////////////////////////////////////////////////////// /// Array Access //////////////////////////////////////////////////////////////////////////////// __forceinline float& operator [](size_t index) { assert(index < 16); return f[index]; } __forceinline const float& operator [](size_t index) const { assert(index < 16); return f[index]; } }; //////////////////////////////////////////////////////////////////////////////// /// Unary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 asFloat(const vint16& a) { return _mm512_castsi512_ps(a); } __forceinline vint16 asInt (const vfloat16& a) { return _mm512_castps_si512(a); } __forceinline vuint16 asUInt (const vfloat16& a) { return _mm512_castps_si512(a); } __forceinline vint16 toInt (const vfloat16& a) { return vint16(a); } __forceinline vfloat16 toFloat(const vint16& a) { return vfloat16(a); } __forceinline vfloat16 operator +(const vfloat16& a) { return a; } __forceinline vfloat16 operator -(const vfloat16& a) { return _mm512_mul_ps(a,vfloat16(-1)); } __forceinline vfloat16 abs (const vfloat16& a) { return _mm512_castsi512_ps(_mm512_and_epi32(_mm512_castps_si512(a),_mm512_set1_epi32(0x7FFFFFFF))); } __forceinline vfloat16 signmsk(const vfloat16& a) { return _mm512_castsi512_ps(_mm512_and_epi32(_mm512_castps_si512(a),_mm512_set1_epi32(0x80000000))); } __forceinline vfloat16 rcp(const vfloat16& a) { const vfloat16 r = _mm512_rcp14_ps(a); return _mm512_mul_ps(r, _mm512_fnmadd_ps(r, a, vfloat16(2.0f))); } __forceinline vfloat16 sqr (const vfloat16& a) { return _mm512_mul_ps(a,a); } __forceinline vfloat16 sqrt(const vfloat16& a) { return _mm512_sqrt_ps(a); } __forceinline vfloat16 rsqrt(const vfloat16& a) { const vfloat16 r = _mm512_rsqrt14_ps(a); return _mm512_fmadd_ps(_mm512_set1_ps(1.5f), r, _mm512_mul_ps(_mm512_mul_ps(_mm512_mul_ps(a, _mm512_set1_ps(-0.5f)), r), _mm512_mul_ps(r, r))); } //////////////////////////////////////////////////////////////////////////////// /// Binary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 operator +(const vfloat16& a, const vfloat16& b) { return _mm512_add_ps(a, b); } __forceinline vfloat16 operator +(const vfloat16& a, float b) { return a + vfloat16(b); } __forceinline vfloat16 operator +(float a, const vfloat16& b) { return vfloat16(a) + b; } __forceinline vfloat16 operator -(const vfloat16& a, const vfloat16& b) { return _mm512_sub_ps(a, b); } __forceinline vfloat16 operator -(const vfloat16& a, float b) { return a - vfloat16(b); } __forceinline vfloat16 operator -(float a, const vfloat16& b) { return vfloat16(a) - b; } __forceinline vfloat16 operator *(const vfloat16& a, const vfloat16& b) { return _mm512_mul_ps(a, b); } __forceinline vfloat16 operator *(const vfloat16& a, float b) { return a * vfloat16(b); } __forceinline vfloat16 operator *(float a, const vfloat16& b) { return vfloat16(a) * b; } __forceinline vfloat16 operator /(const vfloat16& a, const vfloat16& b) { return _mm512_div_ps(a,b); } __forceinline vfloat16 operator /(const vfloat16& a, float b) { return a/vfloat16(b); } __forceinline vfloat16 operator /(float a, const vfloat16& b) { return vfloat16(a)/b; } __forceinline vfloat16 operator &(const vfloat16& a, const vfloat16& b) { return _mm512_and_ps(a,b); } __forceinline vfloat16 operator |(const vfloat16& a, const vfloat16& b) { return _mm512_or_ps(a,b); } __forceinline vfloat16 operator ^(const vfloat16& a, const vfloat16& b) { return _mm512_castsi512_ps(_mm512_xor_epi32(_mm512_castps_si512(a),_mm512_castps_si512(b))); } __forceinline vfloat16 min(const vfloat16& a, const vfloat16& b) { return _mm512_min_ps(a,b); } __forceinline vfloat16 min(const vfloat16& a, float b) { return _mm512_min_ps(a,vfloat16(b)); } __forceinline vfloat16 min(const float& a, const vfloat16& b) { return _mm512_min_ps(vfloat16(a),b); } __forceinline vfloat16 max(const vfloat16& a, const vfloat16& b) { return _mm512_max_ps(a,b); } __forceinline vfloat16 max(const vfloat16& a, float b) { return _mm512_max_ps(a,vfloat16(b)); } __forceinline vfloat16 max(const float& a, const vfloat16& b) { return _mm512_max_ps(vfloat16(a),b); } __forceinline vfloat16 mini(const vfloat16& a, const vfloat16& b) { const vint16 ai = _mm512_castps_si512(a); const vint16 bi = _mm512_castps_si512(b); const vint16 ci = _mm512_min_epi32(ai,bi); return _mm512_castsi512_ps(ci); } __forceinline vfloat16 maxi(const vfloat16& a, const vfloat16& b) { const vint16 ai = _mm512_castps_si512(a); const vint16 bi = _mm512_castps_si512(b); const vint16 ci = _mm512_max_epi32(ai,bi); return _mm512_castsi512_ps(ci); } //////////////////////////////////////////////////////////////////////////////// /// Ternary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 madd (const vfloat16& a, const vfloat16& b, const vfloat16& c) { return _mm512_fmadd_ps(a,b,c); } __forceinline vfloat16 msub (const vfloat16& a, const vfloat16& b, const vfloat16& c) { return _mm512_fmsub_ps(a,b,c); } __forceinline vfloat16 nmadd(const vfloat16& a, const vfloat16& b, const vfloat16& c) { return _mm512_fnmadd_ps(a,b,c); } __forceinline vfloat16 nmsub(const vfloat16& a, const vfloat16& b, const vfloat16& c) { return _mm512_fnmsub_ps(a,b,c); } //////////////////////////////////////////////////////////////////////////////// /// Assignment Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16& operator +=(vfloat16& a, const vfloat16& b) { return a = a + b; } __forceinline vfloat16& operator +=(vfloat16& a, float b) { return a = a + b; } __forceinline vfloat16& operator -=(vfloat16& a, const vfloat16& b) { return a = a - b; } __forceinline vfloat16& operator -=(vfloat16& a, float b) { return a = a - b; } __forceinline vfloat16& operator *=(vfloat16& a, const vfloat16& b) { return a = a * b; } __forceinline vfloat16& operator *=(vfloat16& a, float b) { return a = a * b; } __forceinline vfloat16& operator /=(vfloat16& a, const vfloat16& b) { return a = a / b; } __forceinline vfloat16& operator /=(vfloat16& a, float b) { return a = a / b; } //////////////////////////////////////////////////////////////////////////////// /// Comparison Operators + Select //////////////////////////////////////////////////////////////////////////////// __forceinline vboolf16 operator ==(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_EQ); } __forceinline vboolf16 operator ==(const vfloat16& a, float b) { return a == vfloat16(b); } __forceinline vboolf16 operator ==(float a, const vfloat16& b) { return vfloat16(a) == b; } __forceinline vboolf16 operator !=(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_NE); } __forceinline vboolf16 operator !=(const vfloat16& a, float b) { return a != vfloat16(b); } __forceinline vboolf16 operator !=(float a, const vfloat16& b) { return vfloat16(a) != b; } __forceinline vboolf16 operator < (const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_LT); } __forceinline vboolf16 operator < (const vfloat16& a, float b) { return a < vfloat16(b); } __forceinline vboolf16 operator < (float a, const vfloat16& b) { return vfloat16(a) < b; } __forceinline vboolf16 operator >=(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_GE); } __forceinline vboolf16 operator >=(const vfloat16& a, float b) { return a >= vfloat16(b); } __forceinline vboolf16 operator >=(float a, const vfloat16& b) { return vfloat16(a) >= b; } __forceinline vboolf16 operator > (const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_GT); } __forceinline vboolf16 operator > (const vfloat16& a, float b) { return a > vfloat16(b); } __forceinline vboolf16 operator > (float a, const vfloat16& b) { return vfloat16(a) > b; } __forceinline vboolf16 operator <=(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_LE); } __forceinline vboolf16 operator <=(const vfloat16& a, float b) { return a <= vfloat16(b); } __forceinline vboolf16 operator <=(float a, const vfloat16& b) { return vfloat16(a) <= b; } __forceinline vboolf16 eq(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_EQ); } __forceinline vboolf16 ne(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_NE); } __forceinline vboolf16 lt(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_LT); } __forceinline vboolf16 ge(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_GE); } __forceinline vboolf16 gt(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_GT); } __forceinline vboolf16 le(const vfloat16& a, const vfloat16& b) { return _mm512_cmp_ps_mask(a,b,_MM_CMPINT_LE); } __forceinline vboolf16 eq(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_EQ); } __forceinline vboolf16 ne(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_NE); } __forceinline vboolf16 lt(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_LT); } __forceinline vboolf16 ge(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_GE); } __forceinline vboolf16 gt(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_GT); } __forceinline vboolf16 le(const vboolf16& mask, const vfloat16& a, const vfloat16& b) { return _mm512_mask_cmp_ps_mask(mask,a,b,_MM_CMPINT_LE); } __forceinline vfloat16 select(const vboolf16& s, const vfloat16& t, const vfloat16& f) { return _mm512_mask_blend_ps(s, f, t); } __forceinline vfloat16 lerp(const vfloat16& a, const vfloat16& b, const vfloat16& t) { return madd(t,b-a,a); } //////////////////////////////////////////////////////////////////////////////// /// Rounding Functions //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 floor(const vfloat16& a) { return _mm512_floor_ps(a); } __forceinline vfloat16 ceil (const vfloat16& a) { return _mm512_ceil_ps(a); } __forceinline vfloat16 round (const vfloat16& a) { return _mm512_roundscale_ps(a, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC); } __forceinline vint16 floori (const vfloat16& a) { return _mm512_cvt_roundps_epi32(a, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC); } //////////////////////////////////////////////////////////////////////////////// /// Movement/Shifting/Shuffling Functions //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 unpacklo(const vfloat16& a, const vfloat16& b) { return _mm512_unpacklo_ps(a, b); } __forceinline vfloat16 unpackhi(const vfloat16& a, const vfloat16& b) { return _mm512_unpackhi_ps(a, b); } template<int i> __forceinline vfloat16 shuffle(const vfloat16& v) { return _mm512_permute_ps(v, _MM_SHUFFLE(i, i, i, i)); } template<int i0, int i1, int i2, int i3> __forceinline vfloat16 shuffle(const vfloat16& v) { return _mm512_permute_ps(v, _MM_SHUFFLE(i3, i2, i1, i0)); } template<int i> __forceinline vfloat16 shuffle4(const vfloat16& v) { return _mm512_shuffle_f32x4(v, v ,_MM_SHUFFLE(i, i, i, i)); } template<int i0, int i1, int i2, int i3> __forceinline vfloat16 shuffle4(const vfloat16& v) { return _mm512_shuffle_f32x4(v, v, _MM_SHUFFLE(i3, i2, i1, i0)); } __forceinline vfloat16 interleave4_even(const vfloat16& a, const vfloat16& b) { return _mm512_castsi512_ps(_mm512_mask_permutex_epi64(_mm512_castps_si512(a), mm512_int2mask(0xcc), _mm512_castps_si512(b), (_MM_PERM_ENUM)0x4e)); } __forceinline vfloat16 interleave4_odd(const vfloat16& a, const vfloat16& b) { return _mm512_castsi512_ps(_mm512_mask_permutex_epi64(_mm512_castps_si512(b), mm512_int2mask(0x33), _mm512_castps_si512(a), (_MM_PERM_ENUM)0x4e)); } __forceinline vfloat16 permute(vfloat16 v, __m512i index) { return _mm512_castsi512_ps(_mm512_permutexvar_epi32(index, _mm512_castps_si512(v))); } __forceinline vfloat16 reverse(const vfloat16& v) { return permute(v,_mm512_setr_epi32(15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0)); } template<int i> __forceinline vfloat16 align_shift_right(const vfloat16& a, const vfloat16& b) { return _mm512_castsi512_ps(_mm512_alignr_epi32(_mm512_castps_si512(a),_mm512_castps_si512(b),i)); }; template<int i> __forceinline vfloat16 mask_align_shift_right(const vboolf16& mask, vfloat16& c, const vfloat16& a, const vfloat16& b) { return _mm512_castsi512_ps(_mm512_mask_alignr_epi32(_mm512_castps_si512(c),mask,_mm512_castps_si512(a),_mm512_castps_si512(b),i)); }; __forceinline vfloat16 shift_left_1(const vfloat16& a) { vfloat16 z = zero; return mask_align_shift_right<15>(0xfffe,z,a,a); } __forceinline vfloat16 shift_right_1(const vfloat16& x) { return align_shift_right<1>(zero,x); } __forceinline float toScalar(const vfloat16& v) { return mm512_cvtss_f32(v); } template<int i> __forceinline vfloat16 insert4(const vfloat16& a, const vfloat4& b) { return _mm512_insertf32x4(a, b, i); } template<int N, int i> vfloat<N> extractN(const vfloat16& v); template<> __forceinline vfloat4 extractN<4,0>(const vfloat16& v) { return _mm512_castps512_ps128(v); } template<> __forceinline vfloat4 extractN<4,1>(const vfloat16& v) { return _mm512_extractf32x4_ps(v, 1); } template<> __forceinline vfloat4 extractN<4,2>(const vfloat16& v) { return _mm512_extractf32x4_ps(v, 2); } template<> __forceinline vfloat4 extractN<4,3>(const vfloat16& v) { return _mm512_extractf32x4_ps(v, 3); } template<> __forceinline vfloat8 extractN<8,0>(const vfloat16& v) { return _mm512_castps512_ps256(v); } template<> __forceinline vfloat8 extractN<8,1>(const vfloat16& v) { return _mm512_extractf32x8_ps(v, 1); } template<int i> __forceinline vfloat4 extract4 (const vfloat16& v) { return _mm512_extractf32x4_ps(v, i); } template<> __forceinline vfloat4 extract4<0>(const vfloat16& v) { return _mm512_castps512_ps128(v); } template<int i> __forceinline vfloat8 extract8 (const vfloat16& v) { return _mm512_extractf32x8_ps(v, i); } template<> __forceinline vfloat8 extract8<0>(const vfloat16& v) { return _mm512_castps512_ps256(v); } //////////////////////////////////////////////////////////////////////////////// /// Transpose //////////////////////////////////////////////////////////////////////////////// __forceinline void transpose(const vfloat16& r0, const vfloat16& r1, const vfloat16& r2, const vfloat16& r3, vfloat16& c0, vfloat16& c1, vfloat16& c2, vfloat16& c3) { vfloat16 a0a2_b0b2 = unpacklo(r0, r2); vfloat16 c0c2_d0d2 = unpackhi(r0, r2); vfloat16 a1a3_b1b3 = unpacklo(r1, r3); vfloat16 c1c3_d1d3 = unpackhi(r1, r3); c0 = unpacklo(a0a2_b0b2, a1a3_b1b3); c1 = unpackhi(a0a2_b0b2, a1a3_b1b3); c2 = unpacklo(c0c2_d0d2, c1c3_d1d3); c3 = unpackhi(c0c2_d0d2, c1c3_d1d3); } __forceinline void transpose(const vfloat4& r0, const vfloat4& r1, const vfloat4& r2, const vfloat4& r3, const vfloat4& r4, const vfloat4& r5, const vfloat4& r6, const vfloat4& r7, const vfloat4& r8, const vfloat4& r9, const vfloat4& r10, const vfloat4& r11, const vfloat4& r12, const vfloat4& r13, const vfloat4& r14, const vfloat4& r15, vfloat16& c0, vfloat16& c1, vfloat16& c2, vfloat16& c3) { return transpose(vfloat16(r0, r4, r8, r12), vfloat16(r1, r5, r9, r13), vfloat16(r2, r6, r10, r14), vfloat16(r3, r7, r11, r15), c0, c1, c2, c3); } __forceinline void transpose(const vfloat16& r0, const vfloat16& r1, const vfloat16& r2, const vfloat16& r3, const vfloat16& r4, const vfloat16& r5, const vfloat16& r6, const vfloat16& r7, vfloat16& c0, vfloat16& c1, vfloat16& c2, vfloat16& c3, vfloat16& c4, vfloat16& c5, vfloat16& c6, vfloat16& c7) { vfloat16 a0a1a2a3_e0e1e2e3, b0b1b2b3_f0f1f2f3, c0c1c2c3_g0g1g2g3, d0d1d2d3_h0h1h2h3; transpose(r0, r1, r2, r3, a0a1a2a3_e0e1e2e3, b0b1b2b3_f0f1f2f3, c0c1c2c3_g0g1g2g3, d0d1d2d3_h0h1h2h3); vfloat16 a4a5a6a7_e4e5e6e7, b4b5b6b7_f4f5f6f7, c4c5c6c7_g4g5g6g7, d4d5d6d7_h4h5h6h7; transpose(r4, r5, r6, r7, a4a5a6a7_e4e5e6e7, b4b5b6b7_f4f5f6f7, c4c5c6c7_g4g5g6g7, d4d5d6d7_h4h5h6h7); c0 = interleave4_even(a0a1a2a3_e0e1e2e3, a4a5a6a7_e4e5e6e7); c1 = interleave4_even(b0b1b2b3_f0f1f2f3, b4b5b6b7_f4f5f6f7); c2 = interleave4_even(c0c1c2c3_g0g1g2g3, c4c5c6c7_g4g5g6g7); c3 = interleave4_even(d0d1d2d3_h0h1h2h3, d4d5d6d7_h4h5h6h7); c4 = interleave4_odd (a0a1a2a3_e0e1e2e3, a4a5a6a7_e4e5e6e7); c5 = interleave4_odd (b0b1b2b3_f0f1f2f3, b4b5b6b7_f4f5f6f7); c6 = interleave4_odd (c0c1c2c3_g0g1g2g3, c4c5c6c7_g4g5g6g7); c7 = interleave4_odd (d0d1d2d3_h0h1h2h3, d4d5d6d7_h4h5h6h7); } __forceinline void transpose(const vfloat8& r0, const vfloat8& r1, const vfloat8& r2, const vfloat8& r3, const vfloat8& r4, const vfloat8& r5, const vfloat8& r6, const vfloat8& r7, const vfloat8& r8, const vfloat8& r9, const vfloat8& r10, const vfloat8& r11, const vfloat8& r12, const vfloat8& r13, const vfloat8& r14, const vfloat8& r15, vfloat16& c0, vfloat16& c1, vfloat16& c2, vfloat16& c3, vfloat16& c4, vfloat16& c5, vfloat16& c6, vfloat16& c7) { return transpose(vfloat16(r0, r8), vfloat16(r1, r9), vfloat16(r2, r10), vfloat16(r3, r11), vfloat16(r4, r12), vfloat16(r5, r13), vfloat16(r6, r14), vfloat16(r7, r15), c0, c1, c2, c3, c4, c5, c6, c7); } //////////////////////////////////////////////////////////////////////////////// /// Reductions //////////////////////////////////////////////////////////////////////////////// __forceinline vfloat16 vreduce_add2(vfloat16 x) { return x + shuffle<1,0,3,2>(x); } __forceinline vfloat16 vreduce_add4(vfloat16 x) { x = vreduce_add2(x); return x + shuffle<2,3,0,1>(x); } __forceinline vfloat16 vreduce_add8(vfloat16 x) { x = vreduce_add4(x); return x + shuffle4<1,0,3,2>(x); } __forceinline vfloat16 vreduce_add (vfloat16 x) { x = vreduce_add8(x); return x + shuffle4<2,3,0,1>(x); } __forceinline vfloat16 vreduce_min2(vfloat16 x) { return min(x, shuffle<1,0,3,2>(x)); } __forceinline vfloat16 vreduce_min4(vfloat16 x) { x = vreduce_min2(x); return min(x, shuffle<2,3,0,1>(x)); } __forceinline vfloat16 vreduce_min8(vfloat16 x) { x = vreduce_min4(x); return min(x, shuffle4<1,0,3,2>(x)); } __forceinline vfloat16 vreduce_min (vfloat16 x) { x = vreduce_min8(x); return min(x, shuffle4<2,3,0,1>(x)); } __forceinline vfloat16 vreduce_max2(vfloat16 x) { return max(x, shuffle<1,0,3,2>(x)); } __forceinline vfloat16 vreduce_max4(vfloat16 x) { x = vreduce_max2(x); return max(x, shuffle<2,3,0,1>(x)); } __forceinline vfloat16 vreduce_max8(vfloat16 x) { x = vreduce_max4(x); return max(x, shuffle4<1,0,3,2>(x)); } __forceinline vfloat16 vreduce_max (vfloat16 x) { x = vreduce_max8(x); return max(x, shuffle4<2,3,0,1>(x)); } __forceinline float reduce_add(const vfloat16& v) { return toScalar(vreduce_add(v)); } __forceinline float reduce_min(const vfloat16& v) { return toScalar(vreduce_min(v)); } __forceinline float reduce_max(const vfloat16& v) { return toScalar(vreduce_max(v)); } __forceinline size_t select_min(const vfloat16& v) { return bsf(_mm512_kmov(_mm512_cmp_epi32_mask(_mm512_castps_si512(v),_mm512_castps_si512(vreduce_min(v)),_MM_CMPINT_EQ))); } __forceinline size_t select_max(const vfloat16& v) { return bsf(_mm512_kmov(_mm512_cmp_epi32_mask(_mm512_castps_si512(v),_mm512_castps_si512(vreduce_max(v)),_MM_CMPINT_EQ))); } __forceinline size_t select_min(const vboolf16& valid, const vfloat16& v) { const vfloat16 a = select(valid,v,vfloat16(pos_inf)); const vbool16 valid_min = valid & (a == vreduce_min(a)); return bsf(movemask(any(valid_min) ? valid_min : valid)); } __forceinline size_t select_max(const vboolf16& valid, const vfloat16& v) { const vfloat16 a = select(valid,v,vfloat16(neg_inf)); const vbool16 valid_max = valid & (a == vreduce_max(a)); return bsf(movemask(any(valid_max) ? valid_max : valid)); } __forceinline vfloat16 prefix_sum(const vfloat16& a) { const vfloat16 z(zero); vfloat16 v = a; v = v + align_shift_right<16-1>(v,z); v = v + align_shift_right<16-2>(v,z); v = v + align_shift_right<16-4>(v,z); v = v + align_shift_right<16-8>(v,z); return v; } __forceinline vfloat16 reverse_prefix_sum(const vfloat16& a) { const vfloat16 z(zero); vfloat16 v = a; v = v + align_shift_right<1>(z,v); v = v + align_shift_right<2>(z,v); v = v + align_shift_right<4>(z,v); v = v + align_shift_right<8>(z,v); return v; } __forceinline vfloat16 prefix_min(const vfloat16& a) { const vfloat16 z(pos_inf); vfloat16 v = a; v = min(v,align_shift_right<16-1>(v,z)); v = min(v,align_shift_right<16-2>(v,z)); v = min(v,align_shift_right<16-4>(v,z)); v = min(v,align_shift_right<16-8>(v,z)); return v; } __forceinline vfloat16 prefix_max(const vfloat16& a) { const vfloat16 z(neg_inf); vfloat16 v = a; v = max(v,align_shift_right<16-1>(v,z)); v = max(v,align_shift_right<16-2>(v,z)); v = max(v,align_shift_right<16-4>(v,z)); v = max(v,align_shift_right<16-8>(v,z)); return v; } __forceinline vfloat16 reverse_prefix_min(const vfloat16& a) { const vfloat16 z(pos_inf); vfloat16 v = a; v = min(v,align_shift_right<1>(z,v)); v = min(v,align_shift_right<2>(z,v)); v = min(v,align_shift_right<4>(z,v)); v = min(v,align_shift_right<8>(z,v)); return v; } __forceinline vfloat16 reverse_prefix_max(const vfloat16& a) { const vfloat16 z(neg_inf); vfloat16 v = a; v = max(v,align_shift_right<1>(z,v)); v = max(v,align_shift_right<2>(z,v)); v = max(v,align_shift_right<4>(z,v)); v = max(v,align_shift_right<8>(z,v)); return v; } __forceinline vfloat16 rcp_safe(const vfloat16& a) { return rcp(select(a != vfloat16(zero), a, vfloat16(min_rcp_input))); } //////////////////////////////////////////////////////////////////////////////// /// Output Operators //////////////////////////////////////////////////////////////////////////////// __forceinline embree_ostream operator <<(embree_ostream cout, const vfloat16& v) { cout << "<" << v[0]; for (int i=1; i<16; i++) cout << ", " << v[i]; cout << ">"; return cout; } } #undef vboolf #undef vboold #undef vint #undef vuint #undef vllong #undef vfloat #undef vdouble