// 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 { /* 8-wide AVX-512 64-bit double type */ template<> struct vdouble<8> { ALIGNED_STRUCT_(64); typedef vboold8 Bool; enum { size = 8 }; // number of SIMD elements union { // data __m512d v; double i[8]; }; //////////////////////////////////////////////////////////////////////////////// /// Constructors, Assignment & Cast Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble() {} __forceinline vdouble(const vdouble8& t) { v = t.v; } __forceinline vdouble8& operator =(const vdouble8& f) { v = f.v; return *this; } __forceinline vdouble(const __m512d& t) { v = t; } __forceinline operator __m512d() const { return v; } __forceinline operator __m256d() const { return _mm512_castpd512_pd256(v); } __forceinline vdouble(double i) { v = _mm512_set1_pd(i); } __forceinline vdouble(double a, double b, double c, double d) { v = _mm512_set4_pd(d,c,b,a); } __forceinline vdouble(double a0, double a1, double a2, double a3, double a4, double a5, double a6, double a7) { v = _mm512_set_pd(a7,a6,a5,a4,a3,a2,a1,a0); } //////////////////////////////////////////////////////////////////////////////// /// Constants //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble(ZeroTy) : v(_mm512_setzero_pd()) {} __forceinline vdouble(OneTy) : v(_mm512_set1_pd(1)) {} __forceinline vdouble(StepTy) : v(_mm512_set_pd(7.0,6.0,5.0,4.0,3.0,2.0,1.0,0.0)) {} __forceinline vdouble(ReverseStepTy) : v(_mm512_setr_pd(7.0,6.0,5.0,4.0,3.0,2.0,1.0,0.0)) {} //////////////////////////////////////////////////////////////////////////////// /// Loads and Stores //////////////////////////////////////////////////////////////////////////////// static __forceinline void store_nt(void *__restrict__ ptr, const vdouble8& a) { _mm512_stream_pd((double*)ptr, a); } static __forceinline vdouble8 loadu(const void* addr) { return _mm512_loadu_pd((double*)addr); } static __forceinline vdouble8 load(const vdouble8* addr) { return _mm512_load_pd((double*)addr); } static __forceinline vdouble8 load(const double* addr) { return _mm512_load_pd(addr); } static __forceinline void store(void* ptr, const vdouble8& v) { _mm512_store_pd(ptr, v); } static __forceinline void storeu(void* ptr, const vdouble8& v) { _mm512_storeu_pd(ptr, v); } static __forceinline void storeu(const vboold8& mask, double* ptr, const vdouble8& f) { _mm512_mask_storeu_pd(ptr, mask, f); } static __forceinline void store(const vboold8& mask, void* addr, const vdouble8& v2) { _mm512_mask_store_pd(addr, mask, v2); } static __forceinline vdouble8 compact(const vboold8& mask, vdouble8& v) { return _mm512_mask_compress_pd(v, mask, v); } static __forceinline vdouble8 compact(const vboold8& mask, const vdouble8& a, vdouble8& b) { return _mm512_mask_compress_pd(a, mask, b); } static __forceinline vdouble8 broadcast(const void* a) { return _mm512_set1_pd(*(double*)a); } //////////////////////////////////////////////////////////////////////////////// /// Array Access //////////////////////////////////////////////////////////////////////////////// __forceinline double& operator [](size_t index) { assert(index < 8); return i[index]; } __forceinline const double& operator [](size_t index) const { assert(index < 8); return i[index]; } }; //////////////////////////////////////////////////////////////////////////////// /// Unary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8 asDouble(const vllong8& a) { return _mm512_castsi512_pd(a); } __forceinline vllong8 asLLong (const vdouble8& a) { return _mm512_castpd_si512(a); } __forceinline vdouble8 operator +(const vdouble8& a) { return a; } __forceinline vdouble8 operator -(const vdouble8& a) { return _mm512_sub_pd(_mm512_setzero_pd(), a); } //////////////////////////////////////////////////////////////////////////////// /// Binary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8 operator +(const vdouble8& a, const vdouble8& b) { return _mm512_add_pd(a, b); } __forceinline vdouble8 operator +(const vdouble8& a, double b) { return a + vdouble8(b); } __forceinline vdouble8 operator +(double a, const vdouble8& b) { return vdouble8(a) + b; } __forceinline vdouble8 operator -(const vdouble8& a, const vdouble8& b) { return _mm512_sub_pd(a, b); } __forceinline vdouble8 operator -(const vdouble8& a, double b) { return a - vdouble8(b); } __forceinline vdouble8 operator -(double a, const vdouble8& b) { return vdouble8(a) - b; } __forceinline vdouble8 operator *(const vdouble8& a, const vdouble8& b) { return _mm512_mul_pd(a, b); } __forceinline vdouble8 operator *(const vdouble8& a, double b) { return a * vdouble8(b); } __forceinline vdouble8 operator *(double a, const vdouble8& b) { return vdouble8(a) * b; } __forceinline vdouble8 operator &(const vdouble8& a, const vdouble8& b) { return _mm512_and_pd(a, b); } __forceinline vdouble8 operator &(const vdouble8& a, double b) { return a & vdouble8(b); } __forceinline vdouble8 operator &(double a, const vdouble8& b) { return vdouble8(a) & b; } __forceinline vdouble8 operator |(const vdouble8& a, const vdouble8& b) { return _mm512_or_pd(a, b); } __forceinline vdouble8 operator |(const vdouble8& a, double b) { return a | vdouble8(b); } __forceinline vdouble8 operator |(double a, const vdouble8& b) { return vdouble8(a) | b; } __forceinline vdouble8 operator ^(const vdouble8& a, const vdouble8& b) { return _mm512_xor_pd(a, b); } __forceinline vdouble8 operator ^(const vdouble8& a, double b) { return a ^ vdouble8(b); } __forceinline vdouble8 operator ^(double a, const vdouble8& b) { return vdouble8(a) ^ b; } __forceinline vdouble8 operator <<(const vdouble8& a, const unsigned int n) { return _mm512_castsi512_pd(_mm512_slli_epi64(_mm512_castpd_si512(a), n)); } __forceinline vdouble8 operator >>(const vdouble8& a, const unsigned int n) { return _mm512_castsi512_pd(_mm512_srai_epi64(_mm512_castpd_si512(a), n)); } __forceinline vdouble8 operator <<(const vdouble8& a, const vllong8& n) { return _mm512_castsi512_pd(_mm512_sllv_epi64(_mm512_castpd_si512(a), n)); } __forceinline vdouble8 operator >>(const vdouble8& a, const vllong8& n) { return _mm512_castsi512_pd(_mm512_srav_epi64(_mm512_castpd_si512(a), n)); } __forceinline vdouble8 sll (const vdouble8& a, const unsigned int b) { return _mm512_castsi512_pd(_mm512_slli_epi64(_mm512_castpd_si512(a), b)); } __forceinline vdouble8 sra (const vdouble8& a, const unsigned int b) { return _mm512_castsi512_pd(_mm512_srai_epi64(_mm512_castpd_si512(a), b)); } __forceinline vdouble8 srl (const vdouble8& a, const unsigned int b) { return _mm512_castsi512_pd(_mm512_srli_epi64(_mm512_castpd_si512(a), b)); } __forceinline vdouble8 min(const vdouble8& a, const vdouble8& b) { return _mm512_min_pd(a, b); } __forceinline vdouble8 min(const vdouble8& a, double b) { return min(a,vdouble8(b)); } __forceinline vdouble8 min(double a, const vdouble8& b) { return min(vdouble8(a),b); } __forceinline vdouble8 max(const vdouble8& a, const vdouble8& b) { return _mm512_max_pd(a, b); } __forceinline vdouble8 max(const vdouble8& a, double b) { return max(a,vdouble8(b)); } __forceinline vdouble8 max(double a, const vdouble8& b) { return max(vdouble8(a),b); } __forceinline vdouble8 mask_add(const vboold8& mask, vdouble8& c, const vdouble8& a, const vdouble8& b) { return _mm512_mask_add_pd(c,mask,a,b); } __forceinline vdouble8 mask_sub(const vboold8& mask, vdouble8& c, const vdouble8& a, const vdouble8& b) { return _mm512_mask_sub_pd(c,mask,a,b); } __forceinline vdouble8 mask_and(const vboold8& m,vdouble8& c, const vdouble8& a, const vdouble8& b) { return _mm512_mask_and_pd(c,m,a,b); } __forceinline vdouble8 mask_or (const vboold8& m,vdouble8& c, const vdouble8& a, const vdouble8& b) { return _mm512_mask_or_pd(c,m,a,b); } //////////////////////////////////////////////////////////////////////////////// /// Ternary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8 madd (const vdouble8& a, const vdouble8& b, const vdouble8& c) { return _mm512_fmadd_pd(a,b,c); } __forceinline vdouble8 msub (const vdouble8& a, const vdouble8& b, const vdouble8& c) { return _mm512_fmsub_pd(a,b,c); } __forceinline vdouble8 nmadd(const vdouble8& a, const vdouble8& b, const vdouble8& c) { return _mm512_fnmadd_pd(a,b,c); } __forceinline vdouble8 nmsub(const vdouble8& a, const vdouble8& b, const vdouble8& c) { return _mm512_fnmsub_pd(a,b,c); } //////////////////////////////////////////////////////////////////////////////// /// Assignment Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8& operator +=(vdouble8& a, const vdouble8& b) { return a = a + b; } __forceinline vdouble8& operator +=(vdouble8& a, double b) { return a = a + b; } __forceinline vdouble8& operator -=(vdouble8& a, const vdouble8& b) { return a = a - b; } __forceinline vdouble8& operator -=(vdouble8& a, double b) { return a = a - b; } __forceinline vdouble8& operator *=(vdouble8& a, const vdouble8& b) { return a = a * b; } __forceinline vdouble8& operator *=(vdouble8& a, double b) { return a = a * b; } __forceinline vdouble8& operator &=(vdouble8& a, const vdouble8& b) { return a = a & b; } __forceinline vdouble8& operator &=(vdouble8& a, double b) { return a = a & b; } __forceinline vdouble8& operator |=(vdouble8& a, const vdouble8& b) { return a = a | b; } __forceinline vdouble8& operator |=(vdouble8& a, double b) { return a = a | b; } __forceinline vdouble8& operator <<=(vdouble8& a, const double b) { return a = a << b; } __forceinline vdouble8& operator >>=(vdouble8& a, const double b) { return a = a >> b; } //////////////////////////////////////////////////////////////////////////////// /// Comparison Operators + Select //////////////////////////////////////////////////////////////////////////////// __forceinline vboold8 operator ==(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_EQ); } __forceinline vboold8 operator ==(const vdouble8& a, double b) { return a == vdouble8(b); } __forceinline vboold8 operator ==(double a, const vdouble8& b) { return vdouble8(a) == b; } __forceinline vboold8 operator !=(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_NE); } __forceinline vboold8 operator !=(const vdouble8& a, double b) { return a != vdouble8(b); } __forceinline vboold8 operator !=(double a, const vdouble8& b) { return vdouble8(a) != b; } __forceinline vboold8 operator < (const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_LT); } __forceinline vboold8 operator < (const vdouble8& a, double b) { return a < vdouble8(b); } __forceinline vboold8 operator < (double a, const vdouble8& b) { return vdouble8(a) < b; } __forceinline vboold8 operator >=(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_GE); } __forceinline vboold8 operator >=(const vdouble8& a, double b) { return a >= vdouble8(b); } __forceinline vboold8 operator >=(double a, const vdouble8& b) { return vdouble8(a) >= b; } __forceinline vboold8 operator > (const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_GT); } __forceinline vboold8 operator > (const vdouble8& a, double b) { return a > vdouble8(b); } __forceinline vboold8 operator > (double a, const vdouble8& b) { return vdouble8(a) > b; } __forceinline vboold8 operator <=(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_LE); } __forceinline vboold8 operator <=(const vdouble8& a, double b) { return a <= vdouble8(b); } __forceinline vboold8 operator <=(double a, const vdouble8& b) { return vdouble8(a) <= b; } __forceinline vboold8 eq(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_EQ); } __forceinline vboold8 ne(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_NE); } __forceinline vboold8 lt(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_LT); } __forceinline vboold8 ge(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_GE); } __forceinline vboold8 gt(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_GT); } __forceinline vboold8 le(const vdouble8& a, const vdouble8& b) { return _mm512_cmp_pd_mask(a,b,_MM_CMPINT_LE); } __forceinline vboold8 eq(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_EQ); } __forceinline vboold8 ne(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_NE); } __forceinline vboold8 lt(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_LT); } __forceinline vboold8 ge(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_GE); } __forceinline vboold8 gt(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_GT); } __forceinline vboold8 le(const vboold8 mask, const vdouble8& a, const vdouble8& b) { return _mm512_mask_cmp_pd_mask(mask,a,b,_MM_CMPINT_LE); } __forceinline vdouble8 select(const vboold8& m, const vdouble8& t, const vdouble8& f) { return _mm512_mask_or_pd(f,m,t,t); } //////////////////////////////////////////////////////////////////////////////// // Movement/Shifting/Shuffling Functions //////////////////////////////////////////////////////////////////////////////// template __forceinline vdouble8 shuffle(const vdouble8& v) { return _mm512_permute_pd(v, (i1 << 7) | (i0 << 6) | (i1 << 5) | (i0 << 4) | (i1 << 3) | (i0 << 2) | (i1 << 1) | i0); } template __forceinline vdouble8 shuffle(const vdouble8& v) { return shuffle(v); } template __forceinline vdouble8 shuffle(const vdouble8& v) { return _mm512_permutex_pd(v, _MM_SHUFFLE(i3, i2, i1, i0)); } template __forceinline vdouble8 shuffle4(const vdouble8& v) { return _mm512_shuffle_f64x2(v, v, _MM_SHUFFLE(i1*2+1, i1*2, i0*2+1, i0*2)); } template __forceinline vdouble8 shuffle4(const vdouble8& v) { return shuffle4(v); } template __forceinline vdouble8 align_shift_right(const vdouble8& a, const vdouble8& b) { return _mm512_castsi512_pd(_mm512_alignr_epi64(_mm512_castpd_si512(a), _mm512_castpd_si512(b), i)); } __forceinline double toScalar(const vdouble8& v) { return _mm_cvtsd_f64(_mm512_castpd512_pd128(v)); } //////////////////////////////////////////////////////////////////////////////// /// Reductions //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8 vreduce_add2(vdouble8 x) { return x + shuffle<1,0,3,2>(x); } __forceinline vdouble8 vreduce_add4(vdouble8 x) { x = vreduce_add2(x); return x + shuffle<2,3,0,1>(x); } __forceinline vdouble8 vreduce_add (vdouble8 x) { x = vreduce_add4(x); return x + shuffle4<1,0>(x); } __forceinline vdouble8 vreduce_min2(vdouble8 x) { return min(x, shuffle<1,0,3,2>(x)); } __forceinline vdouble8 vreduce_min4(vdouble8 x) { x = vreduce_min2(x); return min(x, shuffle<2,3,0,1>(x)); } __forceinline vdouble8 vreduce_min (vdouble8 x) { x = vreduce_min4(x); return min(x, shuffle4<1,0>(x)); } __forceinline vdouble8 vreduce_max2(vdouble8 x) { return max(x, shuffle<1,0,3,2>(x)); } __forceinline vdouble8 vreduce_max4(vdouble8 x) { x = vreduce_max2(x); return max(x, shuffle<2,3,0,1>(x)); } __forceinline vdouble8 vreduce_max (vdouble8 x) { x = vreduce_max4(x); return max(x, shuffle4<1,0>(x)); } __forceinline double reduce_add(const vdouble8& v) { return toScalar(vreduce_add(v)); } __forceinline double reduce_min(const vdouble8& v) { return toScalar(vreduce_min(v)); } __forceinline double reduce_max(const vdouble8& v) { return toScalar(vreduce_max(v)); } //////////////////////////////////////////////////////////////////////////////// /// Memory load and store operations //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble8 permute(const vdouble8& v, const vllong8& index) { return _mm512_permutexvar_pd(index, v); } __forceinline vdouble8 reverse(const vdouble8& a) { return permute(a, vllong8(reverse_step)); } //////////////////////////////////////////////////////////////////////////////// /// Output Operators //////////////////////////////////////////////////////////////////////////////// __forceinline embree_ostream operator <<(embree_ostream cout, const vdouble8& v) { cout << "<" << v[0]; for (size_t i=1; i<8; i++) cout << ", " << v[i]; cout << ">"; return cout; } } #undef vboolf #undef vboold #undef vint #undef vuint #undef vllong #undef vfloat #undef vdouble