// ======================================================================== // // Copyright 2009-2017 Intel Corporation // // // // Licensed under the Apache License, Version 2.0 (the "License"); // // you may not use this file except in compliance with the License. // // You may obtain a copy of the License at // // // // http://www.apache.org/licenses/LICENSE-2.0 // // // // Unless required by applicable law or agreed to in writing, software // // distributed under the License is distributed on an "AS IS" BASIS, // // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // // See the License for the specific language governing permissions and // // limitations under the License. // // ======================================================================== // #pragma once namespace embree { #ifndef _MM_SHUF_PERM2 #define _MM_SHUF_PERM2(e3, e2, e1, e0) \ ((int)(((e3)<<3) | ((e2)<<2) | ((e1)<<1) | (e0))) #endif #ifndef _MM_SHUF_PERM3 #define _MM_SHUF_PERM3(e1, e0) \ ((int)(((e1)<<4) | (e0))) #endif /* 4-wide AVX 64bit double type */ template<> struct vdouble<4> { typedef vboold4 Bool; enum { size = 4 }; // number of SIMD elements union { // data __m256d v; double i[4]; }; //////////////////////////////////////////////////////////////////////////////// /// Constructors, Assignment & Cast Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble() {} __forceinline vdouble(const vdouble4& t) { v = t.v; } __forceinline vdouble4& operator=(const vdouble4& f) { v = f.v; return *this; } __forceinline vdouble(const __m256d& t) { v = t; } __forceinline operator __m256d () const { return v; } __forceinline vdouble(const double i) { v = _mm256_set1_pd(i); } __forceinline vdouble(const double a, const double b, const double c, const double d) { v = _mm256_set_pd(d,c,b,a); } //////////////////////////////////////////////////////////////////////////////// /// Constants //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble( ZeroTy ) : v(_mm256_setzero_pd()) {} __forceinline vdouble( OneTy ) : v(_mm256_set1_pd(1)) {} __forceinline vdouble( StepTy ) : v(_mm256_set_pd(3.0,2.0,1.0,0.0)) {} __forceinline vdouble( ReverseStepTy ) : v(_mm256_setr_pd(3.0,2.0,1.0,0.0)) {} __forceinline static vdouble4 zero() { return _mm256_setzero_pd(); } __forceinline static vdouble4 one () { return _mm256_set1_pd(1.0); } __forceinline static vdouble4 neg_one () { return _mm256_set1_pd(-1.0); } //////////////////////////////////////////////////////////////////////////////// /// Loads and Stores //////////////////////////////////////////////////////////////////////////////// static __forceinline void store_nt(double *__restrict__ ptr, const vdouble4& a) { _mm256_stream_pd(ptr,a); } static __forceinline vdouble4 loadu(const double* addr) { return _mm256_loadu_pd(addr); } static __forceinline vdouble4 load(const vdouble4* addr) { return _mm256_load_pd((double*)addr); } static __forceinline vdouble4 load(const double* addr) { return _mm256_load_pd(addr); } static __forceinline void store(double* ptr, const vdouble4& v) { _mm256_store_pd(ptr,v); } static __forceinline void storeu(double* ptr, const vdouble4& v ) { _mm256_storeu_pd(ptr,v); } //////////////////////////////////////////////////////////////////////////////// /// Array Access //////////////////////////////////////////////////////////////////////////////// __forceinline double& operator[](const size_t index) { assert(index < 8); return i[index]; } __forceinline const double& operator[](const size_t index) const { assert(index < 8); return i[index]; } }; //////////////////////////////////////////////////////////////////////////////// /// Unary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline const vdouble4 operator +( const vdouble4& a ) { return a; } __forceinline const vdouble4 operator -( const vdouble4& a ) { return _mm256_sub_pd(_mm256_setzero_pd(), a); } //////////////////////////////////////////////////////////////////////////////// /// Binary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline const vdouble4 operator +( const vdouble4& a, const vdouble4& b ) { return _mm256_add_pd(a, b); } __forceinline const vdouble4 operator +( const vdouble4& a, const double b ) { return a + vdouble4(b); } __forceinline const vdouble4 operator +( const double a, const vdouble4& b ) { return vdouble4(a) + b; } __forceinline const vdouble4 operator -( const vdouble4& a, const vdouble4& b ) { return _mm256_sub_pd(a, b); } __forceinline const vdouble4 operator -( const vdouble4& a, const double b ) { return a - vdouble4(b); } __forceinline const vdouble4 operator -( const double a, const vdouble4& b ) { return vdouble4(a) - b; } __forceinline const vdouble4 operator *( const vdouble4& a, const vdouble4& b ) { return _mm256_mul_pd(a, b); } __forceinline const vdouble4 operator *( const vdouble4& a, const double b ) { return a * vdouble4(b); } __forceinline const vdouble4 operator *( const double a, const vdouble4& b ) { return vdouble4(a) * b; } __forceinline const vdouble4 operator &( const vdouble4& a, const vdouble4& b ) { return _mm256_and_pd(a, b); } __forceinline const vdouble4 operator &( const vdouble4& a, const double b ) { return a & vdouble4(b); } __forceinline const vdouble4 operator &( const double a, const vdouble4& b ) { return vdouble4(a) & b; } __forceinline const vdouble4 operator |( const vdouble4& a, const vdouble4& b ) { return _mm256_or_pd(a, b); } __forceinline const vdouble4 operator |( const vdouble4& a, const double b ) { return a | vdouble4(b); } __forceinline const vdouble4 operator |( const double a, const vdouble4& b ) { return vdouble4(a) | b; } __forceinline const vdouble4 operator ^( const vdouble4& a, const vdouble4& b ) { return _mm256_xor_pd(a, b); } __forceinline const vdouble4 operator ^( const vdouble4& a, const double b ) { return a ^ vdouble4(b); } __forceinline const vdouble4 operator ^( const double a, const vdouble4& b ) { return vdouble4(a) ^ b; } __forceinline const vdouble4 min( const vdouble4& a, const vdouble4& b ) { return _mm256_min_pd(a, b); } __forceinline const vdouble4 min( const vdouble4& a, const double b ) { return min(a,vdouble4(b)); } __forceinline const vdouble4 min( const double a, const vdouble4& b ) { return min(vdouble4(a),b); } __forceinline const vdouble4 max( const vdouble4& a, const vdouble4& b ) { return _mm256_max_pd(a, b); } __forceinline const vdouble4 max( const vdouble4& a, const double b ) { return max(a,vdouble4(b)); } __forceinline const vdouble4 max( const double a, const vdouble4& b ) { return max(vdouble4(a),b); } //////////////////////////////////////////////////////////////////////////////// /// Assignment Operators //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble4& operator +=( vdouble4& a, const vdouble4& b ) { return a = a + b; } __forceinline vdouble4& operator +=( vdouble4& a, const double b ) { return a = a + b; } __forceinline vdouble4& operator -=( vdouble4& a, const vdouble4& b ) { return a = a - b; } __forceinline vdouble4& operator -=( vdouble4& a, const double b ) { return a = a - b; } __forceinline vdouble4& operator *=( vdouble4& a, const vdouble4& b ) { return a = a * b; } __forceinline vdouble4& operator *=( vdouble4& a, const double b ) { return a = a * b; } __forceinline vdouble4& operator &=( vdouble4& a, const vdouble4& b ) { return a = a & b; } __forceinline vdouble4& operator &=( vdouble4& a, const double b ) { return a = a & b; } __forceinline vdouble4& operator |=( vdouble4& a, const vdouble4& b ) { return a = a | b; } __forceinline vdouble4& operator |=( vdouble4& a, const double b ) { return a = a | b; } //////////////////////////////////////////////////////////////////////////////// /// Comparison Operators + Select //////////////////////////////////////////////////////////////////////////////// #if defined(__AVX512VL__) __forceinline const vboold4 operator ==( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_EQ); } __forceinline const vboold4 operator !=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_NE); } __forceinline const vboold4 operator < ( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_LT); } __forceinline const vboold4 operator >=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_GE); } __forceinline const vboold4 operator > ( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_GT); } __forceinline const vboold4 operator <=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd_mask(a,b,_MM_CMPINT_LE); } #else __forceinline const vboold4 operator ==( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_EQ_UQ); } __forceinline const vboold4 operator !=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_NEQ_UQ); } __forceinline const vboold4 operator < ( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_LT_OQ); } __forceinline const vboold4 operator >=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_GE_OQ); } __forceinline const vboold4 operator > ( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_GT_OQ); } __forceinline const vboold4 operator <=( const vdouble4& a, const vdouble4& b ) { return _mm256_cmp_pd(a,b,_CMP_LE_OQ); } #endif __forceinline const vboold4 operator ==( const vdouble4& a, const double b ) { return a == vdouble4(b); } __forceinline const vboold4 operator ==( const double a, const vdouble4& b ) { return vdouble4(a) == b; } __forceinline const vboold4 operator !=( const vdouble4& a, const double b ) { return a != vdouble4(b); } __forceinline const vboold4 operator !=( const double a, const vdouble4& b ) { return vdouble4(a) != b; } __forceinline const vboold4 operator < ( const vdouble4& a, const double b ) { return a < vdouble4(b); } __forceinline const vboold4 operator < ( const double a, const vdouble4& b ) { return vdouble4(a) < b; } __forceinline const vboold4 operator >=( const vdouble4& a, const double b ) { return a >= vdouble4(b); } __forceinline const vboold4 operator >=( const double a, const vdouble4& b ) { return vdouble4(a) >= b; } __forceinline const vboold4 operator > ( const vdouble4& a, const double b ) { return a > vdouble4(b); } __forceinline const vboold4 operator > ( const double a, const vdouble4& b ) { return vdouble4(a) > b; } __forceinline const vboold4 operator <=( const vdouble4& a, const double b ) { return a <= vdouble4(b); } __forceinline const vboold4 operator <=( const double a, const vdouble4& b ) { return vdouble4(a) <= b; } __forceinline vboold4 eq(const vdouble4& a, const vdouble4& b) { return a == b; } __forceinline vboold4 ne(const vdouble4& a, const vdouble4& b) { return a != b; } __forceinline vboold4 lt(const vdouble4& a, const vdouble4& b) { return a < b; } __forceinline vboold4 ge(const vdouble4& a, const vdouble4& b) { return a >= b; } __forceinline vboold4 gt(const vdouble4& a, const vdouble4& b) { return a > b; } __forceinline vboold4 le(const vdouble4& a, const vdouble4& b) { return a <= b; } #if defined(__AVX512VL__) __forceinline vboold4 eq(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_EQ); } __forceinline vboold4 ne(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_NE); } __forceinline vboold4 lt(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_LT); } __forceinline vboold4 ge(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_GE); } __forceinline vboold4 gt(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_GT); } __forceinline vboold4 le(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return _mm256_mask_cmp_pd_mask(mask, a, b, _MM_CMPINT_LE); } #else __forceinline vboold4 eq(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a == b); } __forceinline vboold4 ne(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a != b); } __forceinline vboold4 lt(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a < b); } __forceinline vboold4 ge(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a >= b); } __forceinline vboold4 gt(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a > b); } __forceinline vboold4 le(const vboold4& mask, const vdouble4& a, const vdouble4& b) { return mask & (a <= b); } #endif __forceinline const vdouble4 select( const vboold4& m, const vdouble4& t, const vdouble4& f ) { #if defined(__AVX512VL__) return _mm256_mask_blend_pd(m, f, t); #else return _mm256_blendv_pd(f, t, m); #endif } __forceinline void xchg(const vboold4& m, vdouble4& a, vdouble4& b) { const vdouble4 c = a; a = select(m,b,a); b = select(m,c,b); } __forceinline vboold4 test(const vdouble4& a, const vdouble4& b) { #if defined(__AVX512VL__) return _mm256_test_epi64_mask(_mm256_castpd_si256(a),_mm256_castpd_si256(b)); #else return _mm256_testz_si256(_mm256_castpd_si256(a),_mm256_castpd_si256(b)); #endif } //////////////////////////////////////////////////////////////////////////////// // Movement/Shifting/Shuffling Functions //////////////////////////////////////////////////////////////////////////////// template __forceinline vdouble4 shuffle (const vdouble4& v) { return _mm256_permute_pd(v,(int)_MM_SHUF_PERM2(B,A,B,A)); } template __forceinline vdouble4 shuffle (const vdouble4& x) { return shuffle(x); } template __forceinline vdouble4 shuffle2 (const vdouble4& v) { return _mm256_permute2f128_pd(v,v,(int)_MM_SHUF_PERM3(B,A)); } __forceinline double toScalar(const vdouble4& a) { return _mm_cvtsd_f64(_mm256_castpd256_pd128(a)); } //////////////////////////////////////////////////////////////////////////////// /// Reductions //////////////////////////////////////////////////////////////////////////////// __forceinline vdouble4 vreduce_min2(const vdouble4& x) { return min(x,shuffle<0,1>(x)); } __forceinline vdouble4 vreduce_min (const vdouble4& y) { const vdouble4 x = vreduce_min2(y); return min(x,shuffle2<0,1>(x)); } __forceinline vdouble4 vreduce_max2(const vdouble4& x) { return max(x,shuffle<0,1>(x)); } __forceinline vdouble4 vreduce_max (const vdouble4& y) { const vdouble4 x = vreduce_max2(y); return max(x,shuffle2<0,1>(x)); } __forceinline vdouble4 vreduce_and2(const vdouble4& x) { return x & shuffle<0,1>(x); } __forceinline vdouble4 vreduce_and (const vdouble4& y) { const vdouble4 x = vreduce_and2(y); return x & shuffle2<0,1>(x); } __forceinline vdouble4 vreduce_or2(const vdouble4& x) { return x | shuffle<0,1>(x); } __forceinline vdouble4 vreduce_or (const vdouble4& y) { const vdouble4 x = vreduce_or2(y); return x | shuffle2<0,1>(x); } __forceinline vdouble4 vreduce_add2(const vdouble4& x) { return x + shuffle<0,1>(x); } __forceinline vdouble4 vreduce_add (const vdouble4& y) { const vdouble4 x = vreduce_add2(y); return x + shuffle2<0,1>(x); } __forceinline double reduce_add(const vdouble4& a) { return toScalar(vreduce_add(a)); } __forceinline double reduce_min(const vdouble4& a) { return toScalar(vreduce_min(a)); } __forceinline double reduce_max(const vdouble4& a) { return toScalar(vreduce_max(a)); } //////////////////////////////////////////////////////////////////////////////// /// Memory load and store operations //////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////////// /// Output Operators //////////////////////////////////////////////////////////////////////////////// __forceinline std::ostream& operator<<(std::ostream& cout, const vdouble4& v) { cout << "<" << v[0]; for (size_t i=1; i<4; i++) cout << ", " << v[i]; cout << ">"; return cout; } }