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Copyright (c) 2023 Audiokinetic Inc. *******************************************************************************/ // AkSimdAvx2.h /// \file /// AKSIMD - AVX2 implementation #ifndef _AK_SIMD_AVX2_H_ #define _AK_SIMD_AVX2_H_ #include #include #if !defined(__AVX2__) #error "Inclusion of AkSimdAvx2.h requires AVX2 instruction sets to be defined on platform" #endif #include #include //////////////////////////////////////////////////////////////////////// /// @name AKSIMD arithmetic //@{ /// Cross-platform SIMD multiplication of 8 complex data elements with interleaved real and imaginary parts, /// and taking advantage of fused-multiply-add instructions static AkForceInline AKSIMD_V8F32 AKSIMD_COMPLEXMUL_AVX2(const AKSIMD_V8F32 cIn1, const AKSIMD_V8F32 cIn2) { __m256 real1Ext = _mm256_moveldup_ps(cIn1); // reals extended (a3, a3, a2, a2, a1, a1, a0, a0) __m256 in2Shuf = _mm256_shuffle_ps(cIn2, cIn2, 0xB1); // shuf multiplicand (c3, d3, c2, d2, c1, d1, c0, d0) __m256 imag1Ext = _mm256_movehdup_ps(cIn1); // multiplier imag (b3, b3, b2, b2, b1, b1, b0, b0) __m256 temp = _mm256_mul_ps(imag1Ext, in2Shuf); // temp (b3c3, b3d3, b2c2, b2d2, b1c1, b1d1, b0c0, b0d0) __m256 out = _mm256_fmaddsub_ps(real1Ext, cIn2, temp); // final (a3d3+b3c3, a3c3-b3d3, a2d2+b2c2, a2c2-b2d2, a1d1+b1c1, a1c1-b1d1, a0d0+b0c0, a0c0-b0d0) return out; } /// Vector multiply-add-sub operation. #define AKSIMD_MADDSUB_V8F32( __a__, __b__, __c__ ) _mm256_fmaddsub_ps( (__a__), (__b__), (__c__) ) #define AKSIMD_MSUBADD_V8F32( __a__, __b__, __c__ ) _mm256_fmsubadd_ps( (__a__), (__b__), (__c__) ) /// Vector multiply-add operation. #define AKSIMD_MADD_V8F32( __a__, __b__, __c__ ) _mm256_fmadd_ps( (__a__), (__b__) , (__c__) ) #define AKSIMD_MSUB_V8F32( __a__, __b__, __c__ ) _mm256_fmsub_ps( (__a__), (__b__) , (__c__) ) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD shuffling //@{ /// For each 8b value in a, move it to the designated location in each 128b lane specified by the /// corresponding control byte in b (or, if the control byte is >=16, set the dest to zero) (see _mm_shuffle_epi8) #define AKSIMD_SHUFFLEB_V8I32(a, b) _mm256_shuffle_epi8(a, b) /// For each 16b integer, select one of the values from a and b using the provided control mask - if the /// nth bit is false, the nth value from a will be selected; if true, the value from b will be selected. /// (the mask applies to each 128b lane identically) #define AKSIMD_BLEND_V16I16(a, b, i) _mm256_blend_epi16(a, b, i) #define AKSIMD_INSERT_V2I128( a, m128, idx) _mm256_inserti128_si256(a, m128, idx) /// For each 128b lane, select one of the four input 128b lanes across a and b, /// based on the mask i. AKSIMD_SHUFFLE can still be directly used as a control #define AKSIMD_PERMUTE_2X128_V8I32( a, b, i ) _mm256_permute2x128_si256(a, b, i) /// Selects the lower of each of the 128b lanes in a and b to be the result ( B A ), ( D C ) -> ( C A ) #define AKSIMD_DEINTERLEAVELANES_LO_V8I32( a, b ) AKSIMD_PERMUTE_2X128_V8I32(a, b, AKSIMD_PERMUTE128(2, 0)) /// Selects the higher of each of the 128b lanes in a and b to be the result ( B A ), ( D C) -> ( D B ) #define AKSIMD_DEINTERLEAVELANES_HI_V8I32( a, b ) AKSIMD_PERMUTE_2X128_V8I32(a, b, AKSIMD_PERMUTE128(3, 1)) /// Shuffle 64b elements across the 128b lanes of a, based on the mask i. /// AKSIMD_SHUFFLE can still be directly used as a control #define AKSIMD_PERMUTE_4X64_V8F32( a, i ) _mm256_castpd_ps(_mm256_permute4x64_pd(_mm256_castps_pd(a), i)) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD conversion //@{ /// Converts the eight signed 16b integer values of a to signed 32-bit integer values #define AKSIMD_CONVERT_V8I16_TO_V8I32( __vec__ ) _mm256_cvtepi16_epi32( (__vec__) ) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD integer arithmetic //@{ /// Adds the eight integer values of a and b #define AKSIMD_ADD_V8I32( a, b ) _mm256_add_epi32( a, b ) #define AKSIMD_CMPLT_V8I32( a, b ) _mm256_cmpgt_epi32( b, a ) #define AKSIMD_CMPGT_V8I32( a, b ) _mm256_cmpgt_epi32( a, b ) #define AKSIMD_OR_V8I32( a, b ) _mm256_or_si256(a,b) #define AKSIMD_XOR_V8I32( a, b ) _mm256_xor_si256(a,b) #define AKSIMD_SUB_V8I32( a, b ) _mm256_sub_epi32(a,b) /// Computes the bitwise AND of the 256-bit value in a and the /// 256-bit value in b (see _mm_and_si128) #define AKSIMD_AND_V8I32( __a__, __b__ ) _mm256_and_si256( (__a__), (__b__) ) /// Multiplies each 32-bit int value of a by b and returns the lower 32b of the result (no overflow or clamp) #define AKSIMD_MULLO_V8I32( a , b) _mm256_mullo_epi32(a, b) /// Multiplies the low 16bits of a by b and stores it in V8I32 (no overflow) #define AKSIMD_MULLO16_V8I32( a , b) _mm256_mullo_epi16(a, b) /// Subtracts each 16b integer of a by b #define AKSIMD_SUB_V16I16( a, b ) _mm256_sub_epi16( a, b ) /// Compares the 16 signed 16-bit integers in a and the 16 signed /// 16-bit integers in b for greater than (see _mm_cmpgt_epi16) #define AKSIMD_CMPGT_V16I16( __a__, __b__ ) _mm256_cmpgt_epi16( (__a__), (__b__) ) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD packing / unpacking //@{ /// Interleaves the lower 4 signed or unsigned 16-bit integers in each lane of a /// with the lower 4 signed or unsigned 16-bit integers in each lane of b /// (see _mm_unpacklo_epi16) #define AKSIMD_UNPACKLO_VECTOR16I16( a, b ) _mm256_unpacklo_epi16( a, b ) /// Interleaves the upper 8 signed or unsigned 16-bit integers in each lane of a /// with the upper 8 signed or unsigned 16-bit integers in each lane of b /// (see _mm_unpackhi_epi16) #define AKSIMD_UNPACKHI_VECTOR16I16( a, b ) _mm256_unpackhi_epi16( a, b ) /// Packs the 8 signed 32-bit integers from a and b into 16 signed 16-bit /// integers and saturates (see _mm_packs_epi32) #define AKSIMD_PACKS_V8I32( a, b ) _mm256_packs_epi32( a, b ) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD shifting //@{ /// Shifts the 8 signed or unsigned 32-bit integers in a left by /// in_shiftBy bits while shifting in zeros (see _mm_slli_epi32) #define AKSIMD_SHIFTLEFT_V8I32( __vec__, __shiftBy__ ) \ _mm256_slli_epi32( (__vec__), (__shiftBy__) ) /// Shifts the 8 signed or unsigned 32-bit integers in __vec__ left-wards by /// SIXTEEN bits while shifting in zeros (see _mm_shuffle_epi8) #define AKSIMD_SHIFTLEFT16_V8I32( __vec__ ) \ _mm256_shuffle_epi8( (__vec__), _mm256_set_epi8( \ 0xd, 0xc, -1, -1, \ 0x9, 0x8, -1, -1, \ 0x5, 0x4, -1, -1, \ 0x1, 0x0, -1, -1, \ 0xd, 0xc, -1, -1, \ 0x9, 0x8, -1, -1, \ 0x5, 0x4, -1, -1, \ 0x1, 0x0, -1, -1) ) /// Shifts the 8 signed 32-bit integers in a right by in_shiftBy /// bits while shifting in zeroes (see _mm_srli_epi32) #define AKSIMD_SHIFTRIGHT_V8I32( __vec__, __shiftBy__ ) \ _mm256_srli_epi32( (__vec__), (__shiftBy__) ) /// Shifts the 8 signed 32-bit integers in a right by in_shiftBy /// bits while shifting in the sign bit (see _mm_srai_epi32) #define AKSIMD_SHIFTRIGHTARITH_V8I32( __vec__, __shiftBy__ ) \ _mm256_srai_epi32( (__vec__), (__shiftBy__) ) //@} //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// /// @name AKSIMD gather //@{ /// To use these, provide a base_ptr, and an expression that calculates an /// array index for the provided base_ptr. The expression can be a lambda, /// such as follows: /// AKSIMD_V8I32 viData = AKSIMD_GATHER_EPI32(src, [uIndex, uStep](int i) /// { return (uIndex + uStep * i); }); /// This tends to perform better than a native VGATHER on most CPUs template inline AKSIMD_V8I32 AKSIMD_GATHER_EPI32(const T* __restrict base_ptr, Function expr) { __m256i vals = _mm256_setzero_si256(); __m128i valsTemp[2] = { _mm_setzero_si128(),_mm_setzero_si128() }; #define _GATHER_SIM_FETCH(_x) \ {\ AkInt32 val;\ memcpy(&val, (base_ptr + expr(_x)), sizeof(val)); \ valsTemp[_x/4] = _mm_insert_epi32(valsTemp[_x/4], val, _x%4);\ } _GATHER_SIM_FETCH(0); _GATHER_SIM_FETCH(1); _GATHER_SIM_FETCH(2); _GATHER_SIM_FETCH(3); _GATHER_SIM_FETCH(4); _GATHER_SIM_FETCH(5); _GATHER_SIM_FETCH(6); _GATHER_SIM_FETCH(7); #undef _GATHER_SIM_FETCH vals = _mm256_setr_m128i(valsTemp[0], valsTemp[1]); return vals; } template inline AKSIMD_V8I32 AKSIMD_GATHER_EPI64(const T* base_ptr, Function expr) { __m256i vals = _mm256_setzero_si256(); __m128i valsTemp[2] = { _mm_setzero_si128(),_mm_setzero_si128() }; #define _GATHER_SIM_FETCH(_x) \ {\ AkInt64 val; \ memcpy(&val, (base_ptr + expr(_x)), sizeof(val)); \ valsTemp[_x/2] = _mm_insert_epi64(valsTemp[_x/2], val, _x%2);\ } _GATHER_SIM_FETCH(0); _GATHER_SIM_FETCH(1); _GATHER_SIM_FETCH(2); _GATHER_SIM_FETCH(3); #undef _GATHER_SIM_FETCH vals = _mm256_setr_m128i(valsTemp[0], valsTemp[1]); return vals; } template inline AKSIMD_V8F32 AKSIMD_GATHER_PS(const T* base_ptr, Function expr) { return _mm256_castsi256_ps(AKSIMD_GATHER_EPI32(base_ptr, expr)); } template inline AKSIMD_V4F64 AKSIMD_GATHER_PD(const T* base_ptr, Function expr) { return _mm256_castsi256_pd(AKSIMD_GATHER_EPI64(base_ptr, expr)); } //@} //////////////////////////////////////////////////////////////////////// #endif //_AK_SIMD_AVX2_H_