// Copyright 2009-2021 Intel Corporation // SPDX-License-Identifier: Apache-2.0 #pragma once #include "../sys/alloc.h" #include "math.h" #include "../simd/sse.h" namespace embree { //////////////////////////////////////////////////////////////////////////////// /// SSE Vec2fa Type //////////////////////////////////////////////////////////////////////////////// struct __aligned(16) Vec2fa { ALIGNED_STRUCT_(16); typedef float Scalar; enum { N = 2 }; union { __m128 m128; struct { float x,y,az,aw; }; }; //////////////////////////////////////////////////////////////////////////////// /// Constructors, Assignment & Cast Operators //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa( ) {} __forceinline Vec2fa( const __m128 a ) : m128(a) {} __forceinline Vec2fa ( const Vec2<float>& other ) { x = other.x; y = other.y; } __forceinline Vec2fa& operator =( const Vec2<float>& other ) { x = other.x; y = other.y; return *this; } __forceinline Vec2fa ( const Vec2fa& other ) { m128 = other.m128; } __forceinline Vec2fa& operator =( const Vec2fa& other ) { m128 = other.m128; return *this; } __forceinline explicit Vec2fa( const float a ) : m128(_mm_set1_ps(a)) {} __forceinline Vec2fa( const float x, const float y) : m128(_mm_set_ps(y, y, y, x)) {} __forceinline explicit Vec2fa( const __m128i a ) : m128(_mm_cvtepi32_ps(a)) {} __forceinline operator const __m128&() const { return m128; } __forceinline operator __m128&() { return m128; } //////////////////////////////////////////////////////////////////////////////// /// Loads and Stores //////////////////////////////////////////////////////////////////////////////// static __forceinline Vec2fa load( const void* const a ) { return Vec2fa(_mm_and_ps(_mm_load_ps((float*)a),_mm_castsi128_ps(_mm_set_epi32(0, 0, -1, -1)))); } static __forceinline Vec2fa loadu( const void* const a ) { return Vec2fa(_mm_and_ps(_mm_loadu_ps((float*)a),_mm_castsi128_ps(_mm_set_epi32(0, 0, -1, -1)))); } static __forceinline void storeu ( void* ptr, const Vec2fa& v ) { _mm_storeu_ps((float*)ptr,v); } //////////////////////////////////////////////////////////////////////////////// /// Constants //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa( ZeroTy ) : m128(_mm_setzero_ps()) {} __forceinline Vec2fa( OneTy ) : m128(_mm_set1_ps(1.0f)) {} __forceinline Vec2fa( PosInfTy ) : m128(_mm_set1_ps(pos_inf)) {} __forceinline Vec2fa( NegInfTy ) : m128(_mm_set1_ps(neg_inf)) {} //////////////////////////////////////////////////////////////////////////////// /// Array Access //////////////////////////////////////////////////////////////////////////////// __forceinline const float& operator []( const size_t index ) const { assert(index < 2); return (&x)[index]; } __forceinline float& operator []( const size_t index ) { assert(index < 2); return (&x)[index]; } }; //////////////////////////////////////////////////////////////////////////////// /// Unary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa operator +( const Vec2fa& a ) { return a; } __forceinline Vec2fa operator -( const Vec2fa& a ) { const __m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x80000000)); return _mm_xor_ps(a.m128, mask); } __forceinline Vec2fa abs ( const Vec2fa& a ) { const __m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x7fffffff)); return _mm_and_ps(a.m128, mask); } __forceinline Vec2fa sign ( const Vec2fa& a ) { return blendv_ps(Vec2fa(one), -Vec2fa(one), _mm_cmplt_ps (a,Vec2fa(zero))); } __forceinline Vec2fa rcp ( const Vec2fa& a ) { #if defined(__AVX512VL__) const Vec2fa r = _mm_rcp14_ps(a.m128); #else const Vec2fa r = _mm_rcp_ps(a.m128); #endif #if defined(__AVX2__) const Vec2fa res = _mm_mul_ps(r,_mm_fnmadd_ps(r, a, vfloat4(2.0f))); #else const Vec2fa res = _mm_mul_ps(r,_mm_sub_ps(vfloat4(2.0f), _mm_mul_ps(r, a))); //return _mm_sub_ps(_mm_add_ps(r, r), _mm_mul_ps(_mm_mul_ps(r, r), a)); #endif return res; } __forceinline Vec2fa sqrt ( const Vec2fa& a ) { return _mm_sqrt_ps(a.m128); } __forceinline Vec2fa sqr ( const Vec2fa& a ) { return _mm_mul_ps(a,a); } __forceinline Vec2fa rsqrt( const Vec2fa& a ) { #if defined(__AVX512VL__) __m128 r = _mm_rsqrt14_ps(a.m128); #else __m128 r = _mm_rsqrt_ps(a.m128); #endif return _mm_add_ps(_mm_mul_ps(_mm_set1_ps(1.5f),r), _mm_mul_ps(_mm_mul_ps(_mm_mul_ps(a, _mm_set1_ps(-0.5f)), r), _mm_mul_ps(r, r))); } __forceinline Vec2fa zero_fix(const Vec2fa& a) { return blendv_ps(a, _mm_set1_ps(min_rcp_input), _mm_cmplt_ps (abs(a).m128, _mm_set1_ps(min_rcp_input))); } __forceinline Vec2fa rcp_safe(const Vec2fa& a) { return rcp(zero_fix(a)); } __forceinline Vec2fa log ( const Vec2fa& a ) { return Vec2fa(logf(a.x),logf(a.y)); } __forceinline Vec2fa exp ( const Vec2fa& a ) { return Vec2fa(expf(a.x),expf(a.y)); } //////////////////////////////////////////////////////////////////////////////// /// Binary Operators //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa operator +( const Vec2fa& a, const Vec2fa& b ) { return _mm_add_ps(a.m128, b.m128); } __forceinline Vec2fa operator -( const Vec2fa& a, const Vec2fa& b ) { return _mm_sub_ps(a.m128, b.m128); } __forceinline Vec2fa operator *( const Vec2fa& a, const Vec2fa& b ) { return _mm_mul_ps(a.m128, b.m128); } __forceinline Vec2fa operator *( const Vec2fa& a, const float b ) { return a * Vec2fa(b); } __forceinline Vec2fa operator *( const float a, const Vec2fa& b ) { return Vec2fa(a) * b; } __forceinline Vec2fa operator /( const Vec2fa& a, const Vec2fa& b ) { return _mm_div_ps(a.m128,b.m128); } __forceinline Vec2fa operator /( const Vec2fa& a, const float b ) { return _mm_div_ps(a.m128,_mm_set1_ps(b)); } __forceinline Vec2fa operator /( const float a, const Vec2fa& b ) { return _mm_div_ps(_mm_set1_ps(a),b.m128); } __forceinline Vec2fa min( const Vec2fa& a, const Vec2fa& b ) { return _mm_min_ps(a.m128,b.m128); } __forceinline Vec2fa max( const Vec2fa& a, const Vec2fa& b ) { return _mm_max_ps(a.m128,b.m128); } #if defined(__SSE4_1__) __forceinline Vec2fa mini(const Vec2fa& a, const Vec2fa& b) { const vint4 ai = _mm_castps_si128(a); const vint4 bi = _mm_castps_si128(b); const vint4 ci = _mm_min_epi32(ai,bi); return _mm_castsi128_ps(ci); } #endif #if defined(__SSE4_1__) __forceinline Vec2fa maxi(const Vec2fa& a, const Vec2fa& b) { const vint4 ai = _mm_castps_si128(a); const vint4 bi = _mm_castps_si128(b); const vint4 ci = _mm_max_epi32(ai,bi); return _mm_castsi128_ps(ci); } #endif __forceinline Vec2fa pow ( const Vec2fa& a, const float& b ) { return Vec2fa(powf(a.x,b),powf(a.y,b)); } //////////////////////////////////////////////////////////////////////////////// /// Ternary Operators //////////////////////////////////////////////////////////////////////////////// #if defined(__AVX2__) __forceinline Vec2fa madd ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return _mm_fmadd_ps(a,b,c); } __forceinline Vec2fa msub ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return _mm_fmsub_ps(a,b,c); } __forceinline Vec2fa nmadd ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return _mm_fnmadd_ps(a,b,c); } __forceinline Vec2fa nmsub ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return _mm_fnmsub_ps(a,b,c); } #else __forceinline Vec2fa madd ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return a*b+c; } __forceinline Vec2fa msub ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return a*b-c; } __forceinline Vec2fa nmadd ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return -a*b+c;} __forceinline Vec2fa nmsub ( const Vec2fa& a, const Vec2fa& b, const Vec2fa& c) { return -a*b-c; } #endif __forceinline Vec2fa madd ( const float a, const Vec2fa& b, const Vec2fa& c) { return madd(Vec2fa(a),b,c); } __forceinline Vec2fa msub ( const float a, const Vec2fa& b, const Vec2fa& c) { return msub(Vec2fa(a),b,c); } __forceinline Vec2fa nmadd ( const float a, const Vec2fa& b, const Vec2fa& c) { return nmadd(Vec2fa(a),b,c); } __forceinline Vec2fa nmsub ( const float a, const Vec2fa& b, const Vec2fa& c) { return nmsub(Vec2fa(a),b,c); } //////////////////////////////////////////////////////////////////////////////// /// Assignment Operators //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa& operator +=( Vec2fa& a, const Vec2fa& b ) { return a = a + b; } __forceinline Vec2fa& operator -=( Vec2fa& a, const Vec2fa& b ) { return a = a - b; } __forceinline Vec2fa& operator *=( Vec2fa& a, const Vec2fa& b ) { return a = a * b; } __forceinline Vec2fa& operator *=( Vec2fa& a, const float b ) { return a = a * b; } __forceinline Vec2fa& operator /=( Vec2fa& a, const Vec2fa& b ) { return a = a / b; } __forceinline Vec2fa& operator /=( Vec2fa& a, const float b ) { return a = a / b; } //////////////////////////////////////////////////////////////////////////////// /// Reductions //////////////////////////////////////////////////////////////////////////////// __forceinline float reduce_add(const Vec2fa& v) { return v.x+v.y; } __forceinline float reduce_mul(const Vec2fa& v) { return v.x*v.y; } __forceinline float reduce_min(const Vec2fa& v) { return min(v.x,v.y); } __forceinline float reduce_max(const Vec2fa& v) { return max(v.x,v.y); } //////////////////////////////////////////////////////////////////////////////// /// Comparison Operators //////////////////////////////////////////////////////////////////////////////// __forceinline bool operator ==( const Vec2fa& a, const Vec2fa& b ) { return (_mm_movemask_ps(_mm_cmpeq_ps (a.m128, b.m128)) & 3) == 3; } __forceinline bool operator !=( const Vec2fa& a, const Vec2fa& b ) { return (_mm_movemask_ps(_mm_cmpneq_ps(a.m128, b.m128)) & 3) != 0; } //////////////////////////////////////////////////////////////////////////////// /// Euclidian Space Operators //////////////////////////////////////////////////////////////////////////////// #if defined(__SSE4_1__) __forceinline float dot ( const Vec2fa& a, const Vec2fa& b ) { return _mm_cvtss_f32(_mm_dp_ps(a,b,0x3F)); } #else __forceinline float dot ( const Vec2fa& a, const Vec2fa& b ) { return reduce_add(a*b); } #endif __forceinline Vec2fa cross ( const Vec2fa& a ) { return Vec2fa(-a.y,a.x); } __forceinline float sqr_length ( const Vec2fa& a ) { return dot(a,a); } __forceinline float rcp_length ( const Vec2fa& a ) { return rsqrt(dot(a,a)); } __forceinline float rcp_length2( const Vec2fa& a ) { return rcp(dot(a,a)); } __forceinline float length ( const Vec2fa& a ) { return sqrt(dot(a,a)); } __forceinline Vec2fa normalize( const Vec2fa& a ) { return a*rsqrt(dot(a,a)); } __forceinline float distance ( const Vec2fa& a, const Vec2fa& b ) { return length(a-b); } //////////////////////////////////////////////////////////////////////////////// /// Select //////////////////////////////////////////////////////////////////////////////// __forceinline Vec2fa select( bool s, const Vec2fa& t, const Vec2fa& f ) { __m128 mask = s ? _mm_castsi128_ps(_mm_cmpeq_epi32(_mm_setzero_si128(), _mm_setzero_si128())) : _mm_setzero_ps(); return blendv_ps(f, t, mask); } __forceinline Vec2fa lerp(const Vec2fa& v0, const Vec2fa& v1, const float t) { return madd(1.0f-t,v0,t*v1); } __forceinline int maxDim ( const Vec2fa& a ) { const Vec2fa b = abs(a); if (b.x > b.y) return 0; else return 1; } //////////////////////////////////////////////////////////////////////////////// /// Rounding Functions //////////////////////////////////////////////////////////////////////////////// #if defined(__aarch64__) //__forceinline Vec2fa trunc(const Vec2fa& a) { return vrndq_f32(a); } __forceinline Vec2fa floor(const Vec2fa& a) { return vrndmq_f32(a); } __forceinline Vec2fa ceil (const Vec2fa& a) { return vrndpq_f32(a); } #elif defined (__SSE4_1__) //__forceinline Vec2fa trunc( const Vec2fa& a ) { return _mm_round_ps(a, _MM_FROUND_TO_NEAREST_INT); } __forceinline Vec2fa floor( const Vec2fa& a ) { return _mm_round_ps(a, _MM_FROUND_TO_NEG_INF ); } __forceinline Vec2fa ceil ( const Vec2fa& a ) { return _mm_round_ps(a, _MM_FROUND_TO_POS_INF ); } #else //__forceinline Vec2fa trunc( const Vec2fa& a ) { return Vec2fa(truncf(a.x),truncf(a.y),truncf(a.z)); } __forceinline Vec2fa floor( const Vec2fa& a ) { return Vec2fa(floorf(a.x),floorf(a.y)); } __forceinline Vec2fa ceil ( const Vec2fa& a ) { return Vec2fa(ceilf (a.x),ceilf (a.y)); } #endif //////////////////////////////////////////////////////////////////////////////// /// Output Operators //////////////////////////////////////////////////////////////////////////////// __forceinline embree_ostream operator<<(embree_ostream cout, const Vec2fa& a) { return cout << "(" << a.x << ", " << a.y << ")"; } typedef Vec2fa Vec2fa_t; }