diff options
Diffstat (limited to 'Eigen/src/Core/arch/AVX/PacketMath.h')
| -rw-r--r-- | Eigen/src/Core/arch/AVX/PacketMath.h | 1271 |
1 files changed, 1106 insertions, 165 deletions
diff --git a/Eigen/src/Core/arch/AVX/PacketMath.h b/Eigen/src/Core/arch/AVX/PacketMath.h index 195d40fb4..7fc32fd71 100644 --- a/Eigen/src/Core/arch/AVX/PacketMath.h +++ b/Eigen/src/Core/arch/AVX/PacketMath.h @@ -18,11 +18,11 @@ namespace internal { #define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 8 #endif -#ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS -#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS (2*sizeof(void*)) +#if !defined(EIGEN_VECTORIZE_AVX512) && !defined(EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS) +#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 16 #endif -#ifdef __FMA__ +#ifdef EIGEN_VECTORIZE_FMA #ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD #define EIGEN_HAS_SINGLE_INSTRUCTION_MADD #endif @@ -31,10 +31,14 @@ namespace internal { typedef __m256 Packet8f; typedef __m256i Packet8i; typedef __m256d Packet4d; +typedef eigen_packet_wrapper<__m128i, 2> Packet8h; +typedef eigen_packet_wrapper<__m128i, 3> Packet8bf; template<> struct is_arithmetic<__m256> { enum { value = true }; }; template<> struct is_arithmetic<__m256i> { enum { value = true }; }; template<> struct is_arithmetic<__m256d> { enum { value = true }; }; +template<> struct is_arithmetic<Packet8h> { enum { value = true }; }; +template<> struct is_arithmetic<Packet8bf> { enum { value = true }; }; #define _EIGEN_DECLARE_CONST_Packet8f(NAME,X) \ const Packet8f p8f_##NAME = pset1<Packet8f>(X) @@ -58,21 +62,28 @@ template<> struct packet_traits<float> : default_packet_traits enum { Vectorizable = 1, AlignedOnScalar = 1, - size=8, + size = 8, HasHalfPacket = 1, - HasDiv = 1, - HasSin = EIGEN_FAST_MATH, - HasCos = 0, - HasLog = 1, - HasExp = 1, + HasCmp = 1, + HasDiv = 1, + HasSin = EIGEN_FAST_MATH, + HasCos = EIGEN_FAST_MATH, + HasLog = 1, + HasLog1p = 1, + HasExpm1 = 1, + HasExp = 1, + HasNdtri = 1, + HasBessel = 1, HasSqrt = 1, HasRsqrt = 1, - HasTanh = EIGEN_FAST_MATH, + HasTanh = EIGEN_FAST_MATH, + HasErf = EIGEN_FAST_MATH, HasBlend = 1, HasRound = 1, HasFloor = 1, - HasCeil = 1 + HasCeil = 1, + HasRint = 1 }; }; template<> struct packet_traits<double> : default_packet_traits @@ -85,14 +96,104 @@ template<> struct packet_traits<double> : default_packet_traits size=4, HasHalfPacket = 1, + HasCmp = 1, HasDiv = 1, + HasLog = 1, HasExp = 1, HasSqrt = 1, HasRsqrt = 1, HasBlend = 1, HasRound = 1, HasFloor = 1, - HasCeil = 1 + HasCeil = 1, + HasRint = 1 + }; +}; + +template <> +struct packet_traits<Eigen::half> : default_packet_traits { + typedef Packet8h type; + // There is no half-size packet for Packet8h. + typedef Packet8h half; + enum { + Vectorizable = 1, + AlignedOnScalar = 1, + size = 8, + HasHalfPacket = 0, + + HasCmp = 1, + HasAdd = 1, + HasSub = 1, + HasMul = 1, + HasDiv = 1, + HasSin = EIGEN_FAST_MATH, + HasCos = EIGEN_FAST_MATH, + HasNegate = 1, + HasAbs = 1, + HasAbs2 = 0, + HasMin = 1, + HasMax = 1, + HasConj = 1, + HasSetLinear = 0, + HasLog = 1, + HasLog1p = 1, + HasExpm1 = 1, + HasExp = 1, + HasSqrt = 1, + HasRsqrt = 1, + HasTanh = EIGEN_FAST_MATH, + HasErf = EIGEN_FAST_MATH, + HasBlend = 0, + HasRound = 1, + HasFloor = 1, + HasCeil = 1, + HasRint = 1, + HasBessel = 1, + HasNdtri = 1 + }; +}; + +template <> +struct packet_traits<bfloat16> : default_packet_traits { + typedef Packet8bf type; + // There is no half-size packet for current Packet8bf. + // TODO: support as SSE path. + typedef Packet8bf half; + enum { + Vectorizable = 1, + AlignedOnScalar = 1, + size = 8, + HasHalfPacket = 0, + + HasCmp = 1, + HasAdd = 1, + HasSub = 1, + HasMul = 1, + HasDiv = 1, + HasSin = EIGEN_FAST_MATH, + HasCos = EIGEN_FAST_MATH, + HasNegate = 1, + HasAbs = 1, + HasAbs2 = 0, + HasMin = 1, + HasMax = 1, + HasConj = 1, + HasSetLinear = 0, + HasLog = 1, + HasLog1p = 1, + HasExpm1 = 1, + HasExp = 1, + HasSqrt = 1, + HasRsqrt = 1, + HasTanh = EIGEN_FAST_MATH, + HasErf = EIGEN_FAST_MATH, + HasBlend = 0, + HasRound = 1, + HasFloor = 1, + HasCeil = 1, + HasRint = 1, + HasBessel = 1, + HasNdtri = 1 }; }; #endif @@ -113,14 +214,45 @@ template<> struct packet_traits<int> : default_packet_traits }; */ -template<> struct unpacket_traits<Packet8f> { typedef float type; typedef Packet4f half; enum {size=8, alignment=Aligned32}; }; -template<> struct unpacket_traits<Packet4d> { typedef double type; typedef Packet2d half; enum {size=4, alignment=Aligned32}; }; -template<> struct unpacket_traits<Packet8i> { typedef int type; typedef Packet4i half; enum {size=8, alignment=Aligned32}; }; +template<> struct unpacket_traits<Packet8f> { + typedef float type; + typedef Packet4f half; + typedef Packet8i integer_packet; + typedef uint8_t mask_t; + enum {size=8, alignment=Aligned32, vectorizable=true, masked_load_available=true, masked_store_available=true}; +}; +template<> struct unpacket_traits<Packet4d> { + typedef double type; + typedef Packet2d half; + enum {size=4, alignment=Aligned32, vectorizable=true, masked_load_available=false, masked_store_available=false}; +}; +template<> struct unpacket_traits<Packet8i> { typedef int type; typedef Packet4i half; enum {size=8, alignment=Aligned32, vectorizable=false, masked_load_available=false, masked_store_available=false}; }; +template<> struct unpacket_traits<Packet8bf> { typedef bfloat16 type; typedef Packet8bf half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; + +// Helper function for bit packing snippet of low precision comparison. +// It packs the flags from 16x16 to 8x16. +EIGEN_STRONG_INLINE __m128i Pack16To8(Packet8f rf) { + return _mm_packs_epi32(_mm256_extractf128_si256(_mm256_castps_si256(rf), 0), + _mm256_extractf128_si256(_mm256_castps_si256(rf), 1)); +} + template<> EIGEN_STRONG_INLINE Packet8f pset1<Packet8f>(const float& from) { return _mm256_set1_ps(from); } template<> EIGEN_STRONG_INLINE Packet4d pset1<Packet4d>(const double& from) { return _mm256_set1_pd(from); } template<> EIGEN_STRONG_INLINE Packet8i pset1<Packet8i>(const int& from) { return _mm256_set1_epi32(from); } +template<> EIGEN_STRONG_INLINE Packet8f pset1frombits<Packet8f>(unsigned int from) { return _mm256_castsi256_ps(pset1<Packet8i>(from)); } +template<> EIGEN_STRONG_INLINE Packet4d pset1frombits<Packet4d>(uint64_t from) { return _mm256_castsi256_pd(_mm256_set1_epi64x(from)); } + +template<> EIGEN_STRONG_INLINE Packet8f pzero(const Packet8f& /*a*/) { return _mm256_setzero_ps(); } +template<> EIGEN_STRONG_INLINE Packet4d pzero(const Packet4d& /*a*/) { return _mm256_setzero_pd(); } +template<> EIGEN_STRONG_INLINE Packet8i pzero(const Packet8i& /*a*/) { return _mm256_setzero_si256(); } + + +template<> EIGEN_STRONG_INLINE Packet8f peven_mask(const Packet8f& /*a*/) { return _mm256_castsi256_ps(_mm256_set_epi32(0, -1, 0, -1, 0, -1, 0, -1)); } +template<> EIGEN_STRONG_INLINE Packet8i peven_mask(const Packet8i& /*a*/) { return _mm256_set_epi32(0, -1, 0, -1, 0, -1, 0, -1); } +template<> EIGEN_STRONG_INLINE Packet4d peven_mask(const Packet4d& /*a*/) { return _mm256_castsi256_pd(_mm256_set_epi32(0, 0, -1, -1, 0, 0, -1, -1)); } + template<> EIGEN_STRONG_INLINE Packet8f pload1<Packet8f>(const float* from) { return _mm256_broadcast_ss(from); } template<> EIGEN_STRONG_INLINE Packet4d pload1<Packet4d>(const double* from) { return _mm256_broadcast_sd(from); } @@ -129,9 +261,27 @@ template<> EIGEN_STRONG_INLINE Packet4d plset<Packet4d>(const double& a) { retur template<> EIGEN_STRONG_INLINE Packet8f padd<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_add_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d padd<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_add_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8i padd<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_add_epi32(a,b); +#else + __m128i lo = _mm_add_epi32(_mm256_extractf128_si256(a, 0), _mm256_extractf128_si256(b, 0)); + __m128i hi = _mm_add_epi32(_mm256_extractf128_si256(a, 1), _mm256_extractf128_si256(b, 1)); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f psub<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_sub_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d psub<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_sub_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8i psub<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_sub_epi32(a,b); +#else + __m128i lo = _mm_sub_epi32(_mm256_extractf128_si256(a, 0), _mm256_extractf128_si256(b, 0)); + __m128i hi = _mm_sub_epi32(_mm256_extractf128_si256(a, 1), _mm256_extractf128_si256(b, 1)); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f pnegate(const Packet8f& a) { @@ -148,7 +298,15 @@ template<> EIGEN_STRONG_INLINE Packet8i pconj(const Packet8i& a) { return a; } template<> EIGEN_STRONG_INLINE Packet8f pmul<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_mul_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d pmul<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_mul_pd(a,b); } - +template<> EIGEN_STRONG_INLINE Packet8i pmul<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_mullo_epi32(a,b); +#else + const __m128i lo = _mm_mullo_epi32(_mm256_extractf128_si256(a, 0), _mm256_extractf128_si256(b, 0)); + const __m128i hi = _mm_mullo_epi32(_mm256_extractf128_si256(a, 1), _mm256_extractf128_si256(b, 1)); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f pdiv<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_div_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d pdiv<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_div_pd(a,b); } @@ -157,13 +315,14 @@ template<> EIGEN_STRONG_INLINE Packet8i pdiv<Packet8i>(const Packet8i& /*a*/, co return pset1<Packet8i>(0); } -#ifdef __FMA__ +#ifdef EIGEN_VECTORIZE_FMA template<> EIGEN_STRONG_INLINE Packet8f pmadd(const Packet8f& a, const Packet8f& b, const Packet8f& c) { -#if ( EIGEN_COMP_GNUC_STRICT || (EIGEN_COMP_CLANG && (EIGEN_COMP_CLANG<308)) ) - // clang stupidly generates a vfmadd213ps instruction plus some vmovaps on registers, - // and gcc stupidly generates a vfmadd132ps instruction, - // so let's enforce it to generate a vfmadd231ps instruction since the most common use case is to accumulate - // the result of the product. +#if ( (EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC<80) || (EIGEN_COMP_CLANG) ) + // Clang stupidly generates a vfmadd213ps instruction plus some vmovaps on registers, + // and even register spilling with clang>=6.0 (bug 1637). + // Gcc stupidly generates a vfmadd132ps instruction. + // So let's enforce it to generate a vfmadd231ps instruction since the most common use + // case is to accumulate the result of the product. Packet8f res = c; __asm__("vfmadd231ps %[a], %[b], %[c]" : [c] "+x" (res) : [a] "x" (a), [b] "x" (b)); return res; @@ -172,7 +331,7 @@ template<> EIGEN_STRONG_INLINE Packet8f pmadd(const Packet8f& a, const Packet8f& #endif } template<> EIGEN_STRONG_INLINE Packet4d pmadd(const Packet4d& a, const Packet4d& b, const Packet4d& c) { -#if ( EIGEN_COMP_GNUC_STRICT || (EIGEN_COMP_CLANG && (EIGEN_COMP_CLANG<308)) ) +#if ( (EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC<80) || (EIGEN_COMP_CLANG) ) // see above Packet4d res = c; __asm__("vfmadd231pd %[a], %[b], %[c]" : [c] "+x" (res) : [a] "x" (a), [b] "x" (b)); @@ -183,14 +342,112 @@ template<> EIGEN_STRONG_INLINE Packet4d pmadd(const Packet4d& a, const Packet4d& } #endif -template<> EIGEN_STRONG_INLINE Packet8f pmin<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_min_ps(a,b); } -template<> EIGEN_STRONG_INLINE Packet4d pmin<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_min_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8f pcmp_le(const Packet8f& a, const Packet8f& b) { return _mm256_cmp_ps(a,b,_CMP_LE_OQ); } +template<> EIGEN_STRONG_INLINE Packet8f pcmp_lt(const Packet8f& a, const Packet8f& b) { return _mm256_cmp_ps(a,b,_CMP_LT_OQ); } +template<> EIGEN_STRONG_INLINE Packet8f pcmp_lt_or_nan(const Packet8f& a, const Packet8f& b) { return _mm256_cmp_ps(a, b, _CMP_NGE_UQ); } +template<> EIGEN_STRONG_INLINE Packet8f pcmp_eq(const Packet8f& a, const Packet8f& b) { return _mm256_cmp_ps(a,b,_CMP_EQ_OQ); } + +template<> EIGEN_STRONG_INLINE Packet4d pcmp_le(const Packet4d& a, const Packet4d& b) { return _mm256_cmp_pd(a,b,_CMP_LE_OQ); } +template<> EIGEN_STRONG_INLINE Packet4d pcmp_lt(const Packet4d& a, const Packet4d& b) { return _mm256_cmp_pd(a,b,_CMP_LT_OQ); } +template<> EIGEN_STRONG_INLINE Packet4d pcmp_lt_or_nan(const Packet4d& a, const Packet4d& b) { return _mm256_cmp_pd(a, b, _CMP_NGE_UQ); } +template<> EIGEN_STRONG_INLINE Packet4d pcmp_eq(const Packet4d& a, const Packet4d& b) { return _mm256_cmp_pd(a,b,_CMP_EQ_OQ); } + + +template<> EIGEN_STRONG_INLINE Packet8i pcmp_eq(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_cmpeq_epi32(a,b); +#else + __m128i lo = _mm_cmpeq_epi32(_mm256_extractf128_si256(a, 0), _mm256_extractf128_si256(b, 0)); + __m128i hi = _mm_cmpeq_epi32(_mm256_extractf128_si256(a, 1), _mm256_extractf128_si256(b, 1)); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet8f pmin<Packet8f>(const Packet8f& a, const Packet8f& b) { +#if EIGEN_COMP_GNUC && EIGEN_COMP_GNUC < 63 + // There appears to be a bug in GCC, by which the optimizer may flip + // the argument order in calls to _mm_min_ps/_mm_max_ps, so we have to + // resort to inline ASM here. This is supposed to be fixed in gcc6.3, + // see also: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=72867 + Packet8f res; + asm("vminps %[a], %[b], %[res]" : [res] "=x" (res) : [a] "x" (a), [b] "x" (b)); + return res; +#else + // Arguments are swapped to match NaN propagation behavior of std::min. + return _mm256_min_ps(b,a); +#endif +} +template<> EIGEN_STRONG_INLINE Packet4d pmin<Packet4d>(const Packet4d& a, const Packet4d& b) { +#if EIGEN_COMP_GNUC && EIGEN_COMP_GNUC < 63 + // See pmin above + Packet4d res; + asm("vminpd %[a], %[b], %[res]" : [res] "=x" (res) : [a] "x" (a), [b] "x" (b)); + return res; +#else + // Arguments are swapped to match NaN propagation behavior of std::min. + return _mm256_min_pd(b,a); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet8f pmax<Packet8f>(const Packet8f& a, const Packet8f& b) { +#if EIGEN_COMP_GNUC && EIGEN_COMP_GNUC < 63 + // See pmin above + Packet8f res; + asm("vmaxps %[a], %[b], %[res]" : [res] "=x" (res) : [a] "x" (a), [b] "x" (b)); + return res; +#else + // Arguments are swapped to match NaN propagation behavior of std::max. + return _mm256_max_ps(b,a); +#endif +} +template<> EIGEN_STRONG_INLINE Packet4d pmax<Packet4d>(const Packet4d& a, const Packet4d& b) { +#if EIGEN_COMP_GNUC && EIGEN_COMP_GNUC < 63 + // See pmin above + Packet4d res; + asm("vmaxpd %[a], %[b], %[res]" : [res] "=x" (res) : [a] "x" (a), [b] "x" (b)); + return res; +#else + // Arguments are swapped to match NaN propagation behavior of std::max. + return _mm256_max_pd(b,a); +#endif +} -template<> EIGEN_STRONG_INLINE Packet8f pmax<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_max_ps(a,b); } -template<> EIGEN_STRONG_INLINE Packet4d pmax<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_max_pd(a,b); } +// Add specializations for min/max with prescribed NaN progation. +template<> +EIGEN_STRONG_INLINE Packet8f pmin<PropagateNumbers, Packet8f>(const Packet8f& a, const Packet8f& b) { + return pminmax_propagate_numbers(a, b, pmin<Packet8f>); +} +template<> +EIGEN_STRONG_INLINE Packet4d pmin<PropagateNumbers, Packet4d>(const Packet4d& a, const Packet4d& b) { + return pminmax_propagate_numbers(a, b, pmin<Packet4d>); +} +template<> +EIGEN_STRONG_INLINE Packet8f pmax<PropagateNumbers, Packet8f>(const Packet8f& a, const Packet8f& b) { + return pminmax_propagate_numbers(a, b, pmax<Packet8f>); +} +template<> +EIGEN_STRONG_INLINE Packet4d pmax<PropagateNumbers, Packet4d>(const Packet4d& a, const Packet4d& b) { + return pminmax_propagate_numbers(a, b, pmax<Packet4d>); +} +template<> +EIGEN_STRONG_INLINE Packet8f pmin<PropagateNaN, Packet8f>(const Packet8f& a, const Packet8f& b) { + return pminmax_propagate_nan(a, b, pmin<Packet8f>); +} +template<> +EIGEN_STRONG_INLINE Packet4d pmin<PropagateNaN, Packet4d>(const Packet4d& a, const Packet4d& b) { + return pminmax_propagate_nan(a, b, pmin<Packet4d>); +} +template<> +EIGEN_STRONG_INLINE Packet8f pmax<PropagateNaN, Packet8f>(const Packet8f& a, const Packet8f& b) { + return pminmax_propagate_nan(a, b, pmax<Packet8f>); +} +template<> +EIGEN_STRONG_INLINE Packet4d pmax<PropagateNaN, Packet4d>(const Packet4d& a, const Packet4d& b) { + return pminmax_propagate_nan(a, b, pmax<Packet4d>); +} -template<> EIGEN_STRONG_INLINE Packet8f pround<Packet8f>(const Packet8f& a) { return _mm256_round_ps(a, _MM_FROUND_CUR_DIRECTION); } -template<> EIGEN_STRONG_INLINE Packet4d pround<Packet4d>(const Packet4d& a) { return _mm256_round_pd(a, _MM_FROUND_CUR_DIRECTION); } +template<> EIGEN_STRONG_INLINE Packet8f print<Packet8f>(const Packet8f& a) { return _mm256_round_ps(a, _MM_FROUND_CUR_DIRECTION); } +template<> EIGEN_STRONG_INLINE Packet4d print<Packet4d>(const Packet4d& a) { return _mm256_round_pd(a, _MM_FROUND_CUR_DIRECTION); } template<> EIGEN_STRONG_INLINE Packet8f pceil<Packet8f>(const Packet8f& a) { return _mm256_ceil_ps(a); } template<> EIGEN_STRONG_INLINE Packet4d pceil<Packet4d>(const Packet4d& a) { return _mm256_ceil_pd(a); } @@ -198,17 +455,124 @@ template<> EIGEN_STRONG_INLINE Packet4d pceil<Packet4d>(const Packet4d& a) { ret template<> EIGEN_STRONG_INLINE Packet8f pfloor<Packet8f>(const Packet8f& a) { return _mm256_floor_ps(a); } template<> EIGEN_STRONG_INLINE Packet4d pfloor<Packet4d>(const Packet4d& a) { return _mm256_floor_pd(a); } + +template<> EIGEN_STRONG_INLINE Packet8i ptrue<Packet8i>(const Packet8i& a) { +#ifdef EIGEN_VECTORIZE_AVX2 + // vpcmpeqd has lower latency than the more general vcmpps + return _mm256_cmpeq_epi32(a,a); +#else + const __m256 b = _mm256_castsi256_ps(a); + return _mm256_castps_si256(_mm256_cmp_ps(b,b,_CMP_TRUE_UQ)); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet8f ptrue<Packet8f>(const Packet8f& a) { +#ifdef EIGEN_VECTORIZE_AVX2 + // vpcmpeqd has lower latency than the more general vcmpps + const __m256i b = _mm256_castps_si256(a); + return _mm256_castsi256_ps(_mm256_cmpeq_epi32(b,b)); +#else + return _mm256_cmp_ps(a,a,_CMP_TRUE_UQ); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet4d ptrue<Packet4d>(const Packet4d& a) { +#ifdef EIGEN_VECTORIZE_AVX2 + // vpcmpeqq has lower latency than the more general vcmppd + const __m256i b = _mm256_castpd_si256(a); + return _mm256_castsi256_pd(_mm256_cmpeq_epi64(b,b)); +#else + return _mm256_cmp_pd(a,a,_CMP_TRUE_UQ); +#endif +} + template<> EIGEN_STRONG_INLINE Packet8f pand<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_and_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d pand<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_and_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8i pand<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_and_si256(a,b); +#else + return _mm256_castps_si256(_mm256_and_ps(_mm256_castsi256_ps(a),_mm256_castsi256_ps(b))); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f por<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_or_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d por<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_or_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8i por<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_or_si256(a,b); +#else + return _mm256_castps_si256(_mm256_or_ps(_mm256_castsi256_ps(a),_mm256_castsi256_ps(b))); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f pxor<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_xor_ps(a,b); } template<> EIGEN_STRONG_INLINE Packet4d pxor<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_xor_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8i pxor<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_xor_si256(a,b); +#else + return _mm256_castps_si256(_mm256_xor_ps(_mm256_castsi256_ps(a),_mm256_castsi256_ps(b))); +#endif +} -template<> EIGEN_STRONG_INLINE Packet8f pandnot<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_andnot_ps(a,b); } -template<> EIGEN_STRONG_INLINE Packet4d pandnot<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_andnot_pd(a,b); } +template<> EIGEN_STRONG_INLINE Packet8f pandnot<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_andnot_ps(b,a); } +template<> EIGEN_STRONG_INLINE Packet4d pandnot<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_andnot_pd(b,a); } +template<> EIGEN_STRONG_INLINE Packet8i pandnot<Packet8i>(const Packet8i& a, const Packet8i& b) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_andnot_si256(b,a); +#else + return _mm256_castps_si256(_mm256_andnot_ps(_mm256_castsi256_ps(b),_mm256_castsi256_ps(a))); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet8f pround<Packet8f>(const Packet8f& a) +{ + const Packet8f mask = pset1frombits<Packet8f>(static_cast<numext::uint32_t>(0x80000000u)); + const Packet8f prev0dot5 = pset1frombits<Packet8f>(static_cast<numext::uint32_t>(0x3EFFFFFFu)); + return _mm256_round_ps(padd(por(pand(a, mask), prev0dot5), a), _MM_FROUND_TO_ZERO); +} +template<> EIGEN_STRONG_INLINE Packet4d pround<Packet4d>(const Packet4d& a) +{ + const Packet4d mask = pset1frombits<Packet4d>(static_cast<numext::uint64_t>(0x8000000000000000ull)); + const Packet4d prev0dot5 = pset1frombits<Packet4d>(static_cast<numext::uint64_t>(0x3FDFFFFFFFFFFFFFull)); + return _mm256_round_pd(padd(por(pand(a, mask), prev0dot5), a), _MM_FROUND_TO_ZERO); +} + +template<> EIGEN_STRONG_INLINE Packet8f pselect<Packet8f>(const Packet8f& mask, const Packet8f& a, const Packet8f& b) +{ return _mm256_blendv_ps(b,a,mask); } +template<> EIGEN_STRONG_INLINE Packet4d pselect<Packet4d>(const Packet4d& mask, const Packet4d& a, const Packet4d& b) +{ return _mm256_blendv_pd(b,a,mask); } + +template<int N> EIGEN_STRONG_INLINE Packet8i parithmetic_shift_right(Packet8i a) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_srai_epi32(a, N); +#else + __m128i lo = _mm_srai_epi32(_mm256_extractf128_si256(a, 0), N); + __m128i hi = _mm_srai_epi32(_mm256_extractf128_si256(a, 1), N); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} + +template<int N> EIGEN_STRONG_INLINE Packet8i plogical_shift_right(Packet8i a) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_srli_epi32(a, N); +#else + __m128i lo = _mm_srli_epi32(_mm256_extractf128_si256(a, 0), N); + __m128i hi = _mm_srli_epi32(_mm256_extractf128_si256(a, 1), N); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} + +template<int N> EIGEN_STRONG_INLINE Packet8i plogical_shift_left(Packet8i a) { +#ifdef EIGEN_VECTORIZE_AVX2 + return _mm256_slli_epi32(a, N); +#else + __m128i lo = _mm_slli_epi32(_mm256_extractf128_si256(a, 0), N); + __m128i hi = _mm_slli_epi32(_mm256_extractf128_si256(a, 1), N); + return _mm256_insertf128_si256(_mm256_castsi128_si256(lo), (hi), 1); +#endif +} template<> EIGEN_STRONG_INLINE Packet8f pload<Packet8f>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm256_load_ps(from); } template<> EIGEN_STRONG_INLINE Packet4d pload<Packet4d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm256_load_pd(from); } @@ -218,6 +582,14 @@ template<> EIGEN_STRONG_INLINE Packet8f ploadu<Packet8f>(const float* from) { EI template<> EIGEN_STRONG_INLINE Packet4d ploadu<Packet4d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_loadu_pd(from); } template<> EIGEN_STRONG_INLINE Packet8i ploadu<Packet8i>(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_loadu_si256(reinterpret_cast<const __m256i*>(from)); } +template<> EIGEN_STRONG_INLINE Packet8f ploadu<Packet8f>(const float* from, uint8_t umask) { + Packet8i mask = _mm256_set1_epi8(static_cast<char>(umask)); + const Packet8i bit_mask = _mm256_set_epi32(0xffffff7f, 0xffffffbf, 0xffffffdf, 0xffffffef, 0xfffffff7, 0xfffffffb, 0xfffffffd, 0xfffffffe); + mask = por<Packet8i>(mask, bit_mask); + mask = pcmp_eq<Packet8i>(mask, _mm256_set1_epi32(0xffffffff)); + EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_maskload_ps(from, mask); +} + // Loads 4 floats from memory a returns the packet {a0, a0 a1, a1, a2, a2, a3, a3} template<> EIGEN_STRONG_INLINE Packet8f ploaddup<Packet8f>(const float* from) { @@ -225,7 +597,7 @@ template<> EIGEN_STRONG_INLINE Packet8f ploaddup<Packet8f>(const float* from) // Packet8f tmp = _mm256_castps128_ps256(_mm_loadu_ps(from)); // tmp = _mm256_insertf128_ps(tmp, _mm_movehl_ps(_mm256_castps256_ps128(tmp),_mm256_castps256_ps128(tmp)), 1); // return _mm256_unpacklo_ps(tmp,tmp); - + // _mm256_insertf128_ps is very slow on Haswell, thus: Packet8f tmp = _mm256_broadcast_ps((const __m128*)(const void*)from); // mimic an "inplace" permutation of the lower 128bits using a blend @@ -255,6 +627,14 @@ template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet8f& template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet4d& from) { EIGEN_DEBUG_UNALIGNED_STORE _mm256_storeu_pd(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet8i& from) { EIGEN_DEBUG_UNALIGNED_STORE _mm256_storeu_si256(reinterpret_cast<__m256i*>(to), from); } +template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet8f& from, uint8_t umask) { + Packet8i mask = _mm256_set1_epi8(static_cast<char>(umask)); + const Packet8i bit_mask = _mm256_set_epi32(0xffffff7f, 0xffffffbf, 0xffffffdf, 0xffffffef, 0xfffffff7, 0xfffffffb, 0xfffffffd, 0xfffffffe); + mask = por<Packet8i>(mask, bit_mask); + mask = pcmp_eq<Packet8i>(mask, _mm256_set1_epi32(0xffffffff)); + EIGEN_DEBUG_UNALIGNED_STORE return _mm256_maskstore_ps(to, mask, from); +} + // NOTE: leverage _mm256_i32gather_ps and _mm256_i32gather_pd if AVX2 instructions are available // NOTE: for the record the following seems to be slower: return _mm256_i32gather_ps(from, _mm256_set1_epi32(stride), 4); template<> EIGEN_DEVICE_FUNC inline Packet8f pgather<float, Packet8f>(const float* from, Index stride) @@ -308,9 +688,9 @@ template<> EIGEN_STRONG_INLINE void pstore1<Packet8i>(int* to, const int& a) } #ifndef EIGEN_VECTORIZE_AVX512 -template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } -template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } -template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } +template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); } +template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); } +template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); } #endif template<> EIGEN_STRONG_INLINE float pfirst<Packet8f>(const Packet8f& a) { @@ -333,9 +713,12 @@ template<> EIGEN_STRONG_INLINE Packet4d preverse(const Packet4d& a) { __m256d tmp = _mm256_shuffle_pd(a,a,5); return _mm256_permute2f128_pd(tmp, tmp, 1); - + #if 0 + // This version is unlikely to be faster as _mm256_shuffle_ps and _mm256_permute_pd + // exhibit the same latency/throughput, but it is here for future reference/benchmarking... __m256d swap_halves = _mm256_permute2f128_pd(a,a,1); return _mm256_permute_pd(swap_halves,5); + #endif } // pabs should be ok @@ -350,47 +733,66 @@ template<> EIGEN_STRONG_INLINE Packet4d pabs(const Packet4d& a) return _mm256_and_pd(a,mask); } -// preduxp should be ok -// FIXME: why is this ok? why isn't the simply implementation working as expected? -template<> EIGEN_STRONG_INLINE Packet8f preduxp<Packet8f>(const Packet8f* vecs) -{ - __m256 hsum1 = _mm256_hadd_ps(vecs[0], vecs[1]); - __m256 hsum2 = _mm256_hadd_ps(vecs[2], vecs[3]); - __m256 hsum3 = _mm256_hadd_ps(vecs[4], vecs[5]); - __m256 hsum4 = _mm256_hadd_ps(vecs[6], vecs[7]); - - __m256 hsum5 = _mm256_hadd_ps(hsum1, hsum1); - __m256 hsum6 = _mm256_hadd_ps(hsum2, hsum2); - __m256 hsum7 = _mm256_hadd_ps(hsum3, hsum3); - __m256 hsum8 = _mm256_hadd_ps(hsum4, hsum4); - - __m256 perm1 = _mm256_permute2f128_ps(hsum5, hsum5, 0x23); - __m256 perm2 = _mm256_permute2f128_ps(hsum6, hsum6, 0x23); - __m256 perm3 = _mm256_permute2f128_ps(hsum7, hsum7, 0x23); - __m256 perm4 = _mm256_permute2f128_ps(hsum8, hsum8, 0x23); +template<> EIGEN_STRONG_INLINE Packet8f pfrexp<Packet8f>(const Packet8f& a, Packet8f& exponent) { + return pfrexp_generic(a,exponent); +} - __m256 sum1 = _mm256_add_ps(perm1, hsum5); - __m256 sum2 = _mm256_add_ps(perm2, hsum6); - __m256 sum3 = _mm256_add_ps(perm3, hsum7); - __m256 sum4 = _mm256_add_ps(perm4, hsum8); +// Extract exponent without existence of Packet4l. +template<> +EIGEN_STRONG_INLINE +Packet4d pfrexp_generic_get_biased_exponent(const Packet4d& a) { + const Packet4d cst_exp_mask = pset1frombits<Packet4d>(static_cast<uint64_t>(0x7ff0000000000000ull)); + __m256i a_expo = _mm256_castpd_si256(pand(a, cst_exp_mask)); +#ifdef EIGEN_VECTORIZE_AVX2 + a_expo = _mm256_srli_epi64(a_expo, 52); + __m128i lo = _mm256_extractf128_si256(a_expo, 0); + __m128i hi = _mm256_extractf128_si256(a_expo, 1); +#else + __m128i lo = _mm256_extractf128_si256(a_expo, 0); + __m128i hi = _mm256_extractf128_si256(a_expo, 1); + lo = _mm_srli_epi64(lo, 52); + hi = _mm_srli_epi64(hi, 52); +#endif + Packet2d exponent_lo = _mm_cvtepi32_pd(vec4i_swizzle1(lo, 0, 2, 1, 3)); + Packet2d exponent_hi = _mm_cvtepi32_pd(vec4i_swizzle1(hi, 0, 2, 1, 3)); + Packet4d exponent = _mm256_insertf128_pd(_mm256_setzero_pd(), exponent_lo, 0); + exponent = _mm256_insertf128_pd(exponent, exponent_hi, 1); + return exponent; +} - __m256 blend1 = _mm256_blend_ps(sum1, sum2, 0xcc); - __m256 blend2 = _mm256_blend_ps(sum3, sum4, 0xcc); - __m256 final = _mm256_blend_ps(blend1, blend2, 0xf0); - return final; +template<> EIGEN_STRONG_INLINE Packet4d pfrexp<Packet4d>(const Packet4d& a, Packet4d& exponent) { + return pfrexp_generic(a, exponent); } -template<> EIGEN_STRONG_INLINE Packet4d preduxp<Packet4d>(const Packet4d* vecs) -{ - Packet4d tmp0, tmp1; - tmp0 = _mm256_hadd_pd(vecs[0], vecs[1]); - tmp0 = _mm256_add_pd(tmp0, _mm256_permute2f128_pd(tmp0, tmp0, 1)); - - tmp1 = _mm256_hadd_pd(vecs[2], vecs[3]); - tmp1 = _mm256_add_pd(tmp1, _mm256_permute2f128_pd(tmp1, tmp1, 1)); +template<> EIGEN_STRONG_INLINE Packet8f pldexp<Packet8f>(const Packet8f& a, const Packet8f& exponent) { + return pldexp_generic(a, exponent); +} - return _mm256_blend_pd(tmp0, tmp1, 0xC); +template<> EIGEN_STRONG_INLINE Packet4d pldexp<Packet4d>(const Packet4d& a, const Packet4d& exponent) { + // Clamp exponent to [-2099, 2099] + const Packet4d max_exponent = pset1<Packet4d>(2099.0); + const Packet4i e = _mm256_cvtpd_epi32(pmin(pmax(exponent, pnegate(max_exponent)), max_exponent)); + + // Split 2^e into four factors and multiply. + const Packet4i bias = pset1<Packet4i>(1023); + Packet4i b = parithmetic_shift_right<2>(e); // floor(e/4) + + // 2^b + Packet4i hi = vec4i_swizzle1(padd(b, bias), 0, 2, 1, 3); + Packet4i lo = _mm_slli_epi64(hi, 52); + hi = _mm_slli_epi64(_mm_srli_epi64(hi, 32), 52); + Packet4d c = _mm256_castsi256_pd(_mm256_insertf128_si256(_mm256_castsi128_si256(lo), hi, 1)); + Packet4d out = pmul(pmul(pmul(a, c), c), c); // a * 2^(3b) + + // 2^(e - 3b) + b = psub(psub(psub(e, b), b), b); // e - 3b + hi = vec4i_swizzle1(padd(b, bias), 0, 2, 1, 3); + lo = _mm_slli_epi64(hi, 52); + hi = _mm_slli_epi64(_mm_srli_epi64(hi, 32), 52); + c = _mm256_castsi256_pd(_mm256_insertf128_si256(_mm256_castsi128_si256(lo), hi, 1)); + out = pmul(out, c); // a * 2^e + return out; } template<> EIGEN_STRONG_INLINE float predux<Packet8f>(const Packet8f& a) @@ -402,7 +804,7 @@ template<> EIGEN_STRONG_INLINE double predux<Packet4d>(const Packet4d& a) return predux(Packet2d(_mm_add_pd(_mm256_castpd256_pd128(a),_mm256_extractf128_pd(a,1)))); } -template<> EIGEN_STRONG_INLINE Packet4f predux_downto4<Packet8f>(const Packet8f& a) +template<> EIGEN_STRONG_INLINE Packet4f predux_half_dowto4<Packet8f>(const Packet8f& a) { return _mm_add_ps(_mm256_castps256_ps128(a),_mm256_extractf128_ps(a,1)); } @@ -446,93 +848,16 @@ template<> EIGEN_STRONG_INLINE double predux_max<Packet4d>(const Packet4d& a) return pfirst(_mm256_max_pd(tmp, _mm256_shuffle_pd(tmp, tmp, 1))); } +// not needed yet +// template<> EIGEN_STRONG_INLINE bool predux_all(const Packet8f& x) +// { +// return _mm256_movemask_ps(x)==0xFF; +// } -template<int Offset> -struct palign_impl<Offset,Packet8f> +template<> EIGEN_STRONG_INLINE bool predux_any(const Packet8f& x) { - static EIGEN_STRONG_INLINE void run(Packet8f& first, const Packet8f& second) - { - if (Offset==1) - { - first = _mm256_blend_ps(first, second, 1); - Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(0,3,2,1)); - Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1); - first = _mm256_blend_ps(tmp1, tmp2, 0x88); - } - else if (Offset==2) - { - first = _mm256_blend_ps(first, second, 3); - Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(1,0,3,2)); - Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1); - first = _mm256_blend_ps(tmp1, tmp2, 0xcc); - } - else if (Offset==3) - { - first = _mm256_blend_ps(first, second, 7); - Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(2,1,0,3)); - Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1); - first = _mm256_blend_ps(tmp1, tmp2, 0xee); - } - else if (Offset==4) - { - first = _mm256_blend_ps(first, second, 15); - Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(3,2,1,0)); - Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1); - first = _mm256_permute_ps(tmp2, _MM_SHUFFLE(3,2,1,0)); - } - else if (Offset==5) - { - first = _mm256_blend_ps(first, second, 31); - first = _mm256_permute2f128_ps(first, first, 1); - Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(0,3,2,1)); - first = _mm256_permute2f128_ps(tmp, tmp, 1); - first = _mm256_blend_ps(tmp, first, 0x88); - } - else if (Offset==6) - { - first = _mm256_blend_ps(first, second, 63); - first = _mm256_permute2f128_ps(first, first, 1); - Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(1,0,3,2)); - first = _mm256_permute2f128_ps(tmp, tmp, 1); - first = _mm256_blend_ps(tmp, first, 0xcc); - } - else if (Offset==7) - { - first = _mm256_blend_ps(first, second, 127); - first = _mm256_permute2f128_ps(first, first, 1); - Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(2,1,0,3)); - first = _mm256_permute2f128_ps(tmp, tmp, 1); - first = _mm256_blend_ps(tmp, first, 0xee); - } - } -}; - -template<int Offset> -struct palign_impl<Offset,Packet4d> -{ - static EIGEN_STRONG_INLINE void run(Packet4d& first, const Packet4d& second) - { - if (Offset==1) - { - first = _mm256_blend_pd(first, second, 1); - __m256d tmp = _mm256_permute_pd(first, 5); - first = _mm256_permute2f128_pd(tmp, tmp, 1); - first = _mm256_blend_pd(tmp, first, 0xA); - } - else if (Offset==2) - { - first = _mm256_blend_pd(first, second, 3); - first = _mm256_permute2f128_pd(first, first, 1); - } - else if (Offset==3) - { - first = _mm256_blend_pd(first, second, 7); - __m256d tmp = _mm256_permute_pd(first, 5); - first = _mm256_permute2f128_pd(tmp, tmp, 1); - first = _mm256_blend_pd(tmp, first, 5); - } - } -}; + return _mm256_movemask_ps(x)!=0; +} EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8f,8>& kernel) { @@ -606,24 +931,640 @@ template<> EIGEN_STRONG_INLINE Packet4d pblend(const Selector<4>& ifPacket, cons return _mm256_blendv_pd(thenPacket, elsePacket, false_mask); } -template<> EIGEN_STRONG_INLINE Packet8f pinsertfirst(const Packet8f& a, float b) +// Packet math for Eigen::half + +template<> struct unpacket_traits<Packet8h> { typedef Eigen::half type; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet8h half; }; + +template<> EIGEN_STRONG_INLINE Packet8h pset1<Packet8h>(const Eigen::half& from) { + return _mm_set1_epi16(numext::bit_cast<numext::uint16_t>(from)); +} + +template<> EIGEN_STRONG_INLINE Eigen::half pfirst<Packet8h>(const Packet8h& from) { + return numext::bit_cast<Eigen::half>(static_cast<numext::uint16_t>(_mm_extract_epi16(from, 0))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pload<Packet8h>(const Eigen::half* from) { + return _mm_load_si128(reinterpret_cast<const __m128i*>(from)); +} + +template<> EIGEN_STRONG_INLINE Packet8h ploadu<Packet8h>(const Eigen::half* from) { + return _mm_loadu_si128(reinterpret_cast<const __m128i*>(from)); +} + +template<> EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const Packet8h& from) { + _mm_store_si128(reinterpret_cast<__m128i*>(to), from); +} + +template<> EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const Packet8h& from) { + _mm_storeu_si128(reinterpret_cast<__m128i*>(to), from); +} + +template<> EIGEN_STRONG_INLINE Packet8h +ploaddup<Packet8h>(const Eigen::half* from) { + const numext::uint16_t a = numext::bit_cast<numext::uint16_t>(from[0]); + const numext::uint16_t b = numext::bit_cast<numext::uint16_t>(from[1]); + const numext::uint16_t c = numext::bit_cast<numext::uint16_t>(from[2]); + const numext::uint16_t d = numext::bit_cast<numext::uint16_t>(from[3]); + return _mm_set_epi16(d, d, c, c, b, b, a, a); +} + +template<> EIGEN_STRONG_INLINE Packet8h +ploadquad<Packet8h>(const Eigen::half* from) { + const numext::uint16_t a = numext::bit_cast<numext::uint16_t>(from[0]); + const numext::uint16_t b = numext::bit_cast<numext::uint16_t>(from[1]); + return _mm_set_epi16(b, b, b, b, a, a, a, a); +} + +template<> EIGEN_STRONG_INLINE Packet8h ptrue(const Packet8h& a) { + return _mm_cmpeq_epi32(a, a); +} + +template <> +EIGEN_STRONG_INLINE Packet8h pabs(const Packet8h& a) { + const __m128i sign_mask = _mm_set1_epi16(static_cast<numext::uint16_t>(0x8000)); + return _mm_andnot_si128(sign_mask, a); +} + +EIGEN_STRONG_INLINE Packet8f half2float(const Packet8h& a) { +#ifdef EIGEN_HAS_FP16_C + return _mm256_cvtph_ps(a); +#else + EIGEN_ALIGN32 Eigen::half aux[8]; + pstore(aux, a); + float f0(aux[0]); + float f1(aux[1]); + float f2(aux[2]); + float f3(aux[3]); + float f4(aux[4]); + float f5(aux[5]); + float f6(aux[6]); + float f7(aux[7]); + + return _mm256_set_ps(f7, f6, f5, f4, f3, f2, f1, f0); +#endif +} + +EIGEN_STRONG_INLINE Packet8h float2half(const Packet8f& a) { +#ifdef EIGEN_HAS_FP16_C + return _mm256_cvtps_ph(a, _MM_FROUND_TO_NEAREST_INT|_MM_FROUND_NO_EXC); +#else + EIGEN_ALIGN32 float aux[8]; + pstore(aux, a); + const numext::uint16_t s0 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[0])); + const numext::uint16_t s1 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[1])); + const numext::uint16_t s2 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[2])); + const numext::uint16_t s3 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[3])); + const numext::uint16_t s4 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[4])); + const numext::uint16_t s5 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[5])); + const numext::uint16_t s6 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[6])); + const numext::uint16_t s7 = numext::bit_cast<numext::uint16_t>(Eigen::half(aux[7])); + return _mm_set_epi16(s7, s6, s5, s4, s3, s2, s1, s0); +#endif +} + +template <> +EIGEN_STRONG_INLINE Packet8h pmin<Packet8h>(const Packet8h& a, + const Packet8h& b) { + return float2half(pmin<Packet8f>(half2float(a), half2float(b))); +} + +template <> +EIGEN_STRONG_INLINE Packet8h pmax<Packet8h>(const Packet8h& a, + const Packet8h& b) { + return float2half(pmax<Packet8f>(half2float(a), half2float(b))); +} + +template <> +EIGEN_STRONG_INLINE Packet8h plset<Packet8h>(const half& a) { + return float2half(plset<Packet8f>(static_cast<float>(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8h por(const Packet8h& a,const Packet8h& b) { + // in some cases Packet4i is a wrapper around __m128i, so we either need to + // cast to Packet4i to directly call the intrinsics as below: + return _mm_or_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8h pxor(const Packet8h& a,const Packet8h& b) { + return _mm_xor_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8h pand(const Packet8h& a,const Packet8h& b) { + return _mm_and_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8h pandnot(const Packet8h& a,const Packet8h& b) { + return _mm_andnot_si128(b,a); +} + +template<> EIGEN_STRONG_INLINE Packet8h pselect(const Packet8h& mask, const Packet8h& a, const Packet8h& b) { + return _mm_blendv_epi8(b, a, mask); +} + +template<> EIGEN_STRONG_INLINE Packet8h pround<Packet8h>(const Packet8h& a) { + return float2half(pround<Packet8f>(half2float(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8h print<Packet8h>(const Packet8h& a) { + return float2half(print<Packet8f>(half2float(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pceil<Packet8h>(const Packet8h& a) { + return float2half(pceil<Packet8f>(half2float(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pfloor<Packet8h>(const Packet8h& a) { + return float2half(pfloor<Packet8f>(half2float(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pcmp_eq(const Packet8h& a,const Packet8h& b) { + return Pack16To8(pcmp_eq(half2float(a), half2float(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pcmp_le(const Packet8h& a,const Packet8h& b) { + return Pack16To8(pcmp_le(half2float(a), half2float(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pcmp_lt(const Packet8h& a,const Packet8h& b) { + return Pack16To8(pcmp_lt(half2float(a), half2float(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pcmp_lt_or_nan(const Packet8h& a,const Packet8h& b) { + return Pack16To8(pcmp_lt_or_nan(half2float(a), half2float(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8h pconj(const Packet8h& a) { return a; } + +template<> EIGEN_STRONG_INLINE Packet8h pnegate(const Packet8h& a) { + Packet8h sign_mask = _mm_set1_epi16(static_cast<numext::uint16_t>(0x8000)); + return _mm_xor_si128(a, sign_mask); +} + +template<> EIGEN_STRONG_INLINE Packet8h padd<Packet8h>(const Packet8h& a, const Packet8h& b) { + Packet8f af = half2float(a); + Packet8f bf = half2float(b); + Packet8f rf = padd(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE Packet8h psub<Packet8h>(const Packet8h& a, const Packet8h& b) { + Packet8f af = half2float(a); + Packet8f bf = half2float(b); + Packet8f rf = psub(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE Packet8h pmul<Packet8h>(const Packet8h& a, const Packet8h& b) { + Packet8f af = half2float(a); + Packet8f bf = half2float(b); + Packet8f rf = pmul(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE Packet8h pdiv<Packet8h>(const Packet8h& a, const Packet8h& b) { + Packet8f af = half2float(a); + Packet8f bf = half2float(b); + Packet8f rf = pdiv(af, bf); + return float2half(rf); +} + +template<> EIGEN_STRONG_INLINE Packet8h pgather<Eigen::half, Packet8h>(const Eigen::half* from, Index stride) { - return _mm256_blend_ps(a,pset1<Packet8f>(b),1); + const numext::uint16_t s0 = numext::bit_cast<numext::uint16_t>(from[0*stride]); + const numext::uint16_t s1 = numext::bit_cast<numext::uint16_t>(from[1*stride]); + const numext::uint16_t s2 = numext::bit_cast<numext::uint16_t>(from[2*stride]); + const numext::uint16_t s3 = numext::bit_cast<numext::uint16_t>(from[3*stride]); + const numext::uint16_t s4 = numext::bit_cast<numext::uint16_t>(from[4*stride]); + const numext::uint16_t s5 = numext::bit_cast<numext::uint16_t>(from[5*stride]); + const numext::uint16_t s6 = numext::bit_cast<numext::uint16_t>(from[6*stride]); + const numext::uint16_t s7 = numext::bit_cast<numext::uint16_t>(from[7*stride]); + return _mm_set_epi16(s7, s6, s5, s4, s3, s2, s1, s0); } -template<> EIGEN_STRONG_INLINE Packet4d pinsertfirst(const Packet4d& a, double b) +template<> EIGEN_STRONG_INLINE void pscatter<Eigen::half, Packet8h>(Eigen::half* to, const Packet8h& from, Index stride) { - return _mm256_blend_pd(a,pset1<Packet4d>(b),1); + EIGEN_ALIGN32 Eigen::half aux[8]; + pstore(aux, from); + to[stride*0] = aux[0]; + to[stride*1] = aux[1]; + to[stride*2] = aux[2]; + to[stride*3] = aux[3]; + to[stride*4] = aux[4]; + to[stride*5] = aux[5]; + to[stride*6] = aux[6]; + to[stride*7] = aux[7]; +} + +template<> EIGEN_STRONG_INLINE Eigen::half predux<Packet8h>(const Packet8h& a) { + Packet8f af = half2float(a); + float reduced = predux<Packet8f>(af); + return Eigen::half(reduced); +} + +template<> EIGEN_STRONG_INLINE Eigen::half predux_max<Packet8h>(const Packet8h& a) { + Packet8f af = half2float(a); + float reduced = predux_max<Packet8f>(af); + return Eigen::half(reduced); +} + +template<> EIGEN_STRONG_INLINE Eigen::half predux_min<Packet8h>(const Packet8h& a) { + Packet8f af = half2float(a); + float reduced = predux_min<Packet8f>(af); + return Eigen::half(reduced); } -template<> EIGEN_STRONG_INLINE Packet8f pinsertlast(const Packet8f& a, float b) +template<> EIGEN_STRONG_INLINE Eigen::half predux_mul<Packet8h>(const Packet8h& a) { + Packet8f af = half2float(a); + float reduced = predux_mul<Packet8f>(af); + return Eigen::half(reduced); +} + +template<> EIGEN_STRONG_INLINE Packet8h preverse(const Packet8h& a) { - return _mm256_blend_ps(a,pset1<Packet8f>(b),(1<<7)); + __m128i m = _mm_setr_epi8(14,15,12,13,10,11,8,9,6,7,4,5,2,3,0,1); + return _mm_shuffle_epi8(a,m); +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock<Packet8h,8>& kernel) { + __m128i a = kernel.packet[0]; + __m128i b = kernel.packet[1]; + __m128i c = kernel.packet[2]; + __m128i d = kernel.packet[3]; + __m128i e = kernel.packet[4]; + __m128i f = kernel.packet[5]; + __m128i g = kernel.packet[6]; + __m128i h = kernel.packet[7]; + + __m128i a03b03 = _mm_unpacklo_epi16(a, b); + __m128i c03d03 = _mm_unpacklo_epi16(c, d); + __m128i e03f03 = _mm_unpacklo_epi16(e, f); + __m128i g03h03 = _mm_unpacklo_epi16(g, h); + __m128i a47b47 = _mm_unpackhi_epi16(a, b); + __m128i c47d47 = _mm_unpackhi_epi16(c, d); + __m128i e47f47 = _mm_unpackhi_epi16(e, f); + __m128i g47h47 = _mm_unpackhi_epi16(g, h); + + __m128i a01b01c01d01 = _mm_unpacklo_epi32(a03b03, c03d03); + __m128i a23b23c23d23 = _mm_unpackhi_epi32(a03b03, c03d03); + __m128i e01f01g01h01 = _mm_unpacklo_epi32(e03f03, g03h03); + __m128i e23f23g23h23 = _mm_unpackhi_epi32(e03f03, g03h03); + __m128i a45b45c45d45 = _mm_unpacklo_epi32(a47b47, c47d47); + __m128i a67b67c67d67 = _mm_unpackhi_epi32(a47b47, c47d47); + __m128i e45f45g45h45 = _mm_unpacklo_epi32(e47f47, g47h47); + __m128i e67f67g67h67 = _mm_unpackhi_epi32(e47f47, g47h47); + + __m128i a0b0c0d0e0f0g0h0 = _mm_unpacklo_epi64(a01b01c01d01, e01f01g01h01); + __m128i a1b1c1d1e1f1g1h1 = _mm_unpackhi_epi64(a01b01c01d01, e01f01g01h01); + __m128i a2b2c2d2e2f2g2h2 = _mm_unpacklo_epi64(a23b23c23d23, e23f23g23h23); + __m128i a3b3c3d3e3f3g3h3 = _mm_unpackhi_epi64(a23b23c23d23, e23f23g23h23); + __m128i a4b4c4d4e4f4g4h4 = _mm_unpacklo_epi64(a45b45c45d45, e45f45g45h45); + __m128i a5b5c5d5e5f5g5h5 = _mm_unpackhi_epi64(a45b45c45d45, e45f45g45h45); + __m128i a6b6c6d6e6f6g6h6 = _mm_unpacklo_epi64(a67b67c67d67, e67f67g67h67); + __m128i a7b7c7d7e7f7g7h7 = _mm_unpackhi_epi64(a67b67c67d67, e67f67g67h67); + + kernel.packet[0] = a0b0c0d0e0f0g0h0; + kernel.packet[1] = a1b1c1d1e1f1g1h1; + kernel.packet[2] = a2b2c2d2e2f2g2h2; + kernel.packet[3] = a3b3c3d3e3f3g3h3; + kernel.packet[4] = a4b4c4d4e4f4g4h4; + kernel.packet[5] = a5b5c5d5e5f5g5h5; + kernel.packet[6] = a6b6c6d6e6f6g6h6; + kernel.packet[7] = a7b7c7d7e7f7g7h7; +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock<Packet8h,4>& kernel) { + EIGEN_ALIGN32 Eigen::half in[4][8]; + pstore<Eigen::half>(in[0], kernel.packet[0]); + pstore<Eigen::half>(in[1], kernel.packet[1]); + pstore<Eigen::half>(in[2], kernel.packet[2]); + pstore<Eigen::half>(in[3], kernel.packet[3]); + + EIGEN_ALIGN32 Eigen::half out[4][8]; + + for (int i = 0; i < 4; ++i) { + for (int j = 0; j < 4; ++j) { + out[i][j] = in[j][2*i]; + } + for (int j = 0; j < 4; ++j) { + out[i][j+4] = in[j][2*i+1]; + } + } + + kernel.packet[0] = pload<Packet8h>(out[0]); + kernel.packet[1] = pload<Packet8h>(out[1]); + kernel.packet[2] = pload<Packet8h>(out[2]); + kernel.packet[3] = pload<Packet8h>(out[3]); +} + +// BFloat16 implementation. + +EIGEN_STRONG_INLINE Packet8f Bf16ToF32(const Packet8bf& a) { +#ifdef EIGEN_VECTORIZE_AVX2 + __m256i extend = _mm256_cvtepu16_epi32(a); + return _mm256_castsi256_ps(_mm256_slli_epi32(extend, 16)); +#else + __m128i lo = _mm_cvtepu16_epi32(a); + __m128i hi = _mm_cvtepu16_epi32(_mm_srli_si128(a, 8)); + __m128i lo_shift = _mm_slli_epi32(lo, 16); + __m128i hi_shift = _mm_slli_epi32(hi, 16); + return _mm256_castsi256_ps(_mm256_insertf128_si256(_mm256_castsi128_si256(lo_shift), hi_shift, 1)); +#endif } -template<> EIGEN_STRONG_INLINE Packet4d pinsertlast(const Packet4d& a, double b) +// Convert float to bfloat16 according to round-to-nearest-even/denormals algorithm. +EIGEN_STRONG_INLINE Packet8bf F32ToBf16(const Packet8f& a) { + Packet8bf r; + + __m256i input = _mm256_castps_si256(a); + +#ifdef EIGEN_VECTORIZE_AVX2 + // uint32_t lsb = (input >> 16); + __m256i t = _mm256_srli_epi32(input, 16); + // uint32_t lsb = lsb & 1; + t = _mm256_and_si256(t, _mm256_set1_epi32(1)); + // uint32_t rounding_bias = 0x7fff + lsb; + t = _mm256_add_epi32(t, _mm256_set1_epi32(0x7fff)); + // input += rounding_bias; + t = _mm256_add_epi32(t, input); + // input = input >> 16; + t = _mm256_srli_epi32(t, 16); + // Check NaN before converting back to bf16 + __m256 mask = _mm256_cmp_ps(a, a, _CMP_ORD_Q); + __m256i nan = _mm256_set1_epi32(0x7fc0); + t = _mm256_blendv_epi8(nan, t, _mm256_castps_si256(mask)); + // output = numext::bit_cast<uint16_t>(input); + return _mm_packus_epi32(_mm256_extractf128_si256(t, 0), + _mm256_extractf128_si256(t, 1)); +#else + // uint32_t lsb = (input >> 16); + __m128i lo = _mm_srli_epi32(_mm256_extractf128_si256(input, 0), 16); + __m128i hi = _mm_srli_epi32(_mm256_extractf128_si256(input, 1), 16); + // uint32_t lsb = lsb & 1; + lo = _mm_and_si128(lo, _mm_set1_epi32(1)); + hi = _mm_and_si128(hi, _mm_set1_epi32(1)); + // uint32_t rounding_bias = 0x7fff + lsb; + lo = _mm_add_epi32(lo, _mm_set1_epi32(0x7fff)); + hi = _mm_add_epi32(hi, _mm_set1_epi32(0x7fff)); + // input += rounding_bias; + lo = _mm_add_epi32(lo, _mm256_extractf128_si256(input, 0)); + hi = _mm_add_epi32(hi, _mm256_extractf128_si256(input, 1)); + // input = input >> 16; + lo = _mm_srli_epi32(lo, 16); + hi = _mm_srli_epi32(hi, 16); + // Check NaN before converting back to bf16 + __m256 mask = _mm256_cmp_ps(a, a, _CMP_ORD_Q); + __m128i nan = _mm_set1_epi32(0x7fc0); + lo = _mm_blendv_epi8(nan, lo, _mm_castps_si128(_mm256_castps256_ps128(mask))); + hi = _mm_blendv_epi8(nan, hi, _mm_castps_si128(_mm256_extractf128_ps(mask, 1))); + // output = numext::bit_cast<uint16_t>(input); + return _mm_packus_epi32(lo, hi); +#endif +} + +template<> EIGEN_STRONG_INLINE Packet8bf pset1<Packet8bf>(const bfloat16& from) { + return _mm_set1_epi16(numext::bit_cast<numext::uint16_t>(from)); +} + +template<> EIGEN_STRONG_INLINE bfloat16 pfirst<Packet8bf>(const Packet8bf& from) { + return numext::bit_cast<bfloat16>(static_cast<numext::uint16_t>(_mm_extract_epi16(from, 0))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pload<Packet8bf>(const bfloat16* from) { + return _mm_load_si128(reinterpret_cast<const __m128i*>(from)); +} + +template<> EIGEN_STRONG_INLINE Packet8bf ploadu<Packet8bf>(const bfloat16* from) { + return _mm_loadu_si128(reinterpret_cast<const __m128i*>(from)); +} + +template<> EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet8bf& from) { + _mm_store_si128(reinterpret_cast<__m128i*>(to), from); +} + +template<> EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet8bf& from) { + _mm_storeu_si128(reinterpret_cast<__m128i*>(to), from); +} + +template<> EIGEN_STRONG_INLINE Packet8bf +ploaddup<Packet8bf>(const bfloat16* from) { + const numext::uint16_t a = numext::bit_cast<numext::uint16_t>(from[0]); + const numext::uint16_t b = numext::bit_cast<numext::uint16_t>(from[1]); + const numext::uint16_t c = numext::bit_cast<numext::uint16_t>(from[2]); + const numext::uint16_t d = numext::bit_cast<numext::uint16_t>(from[3]); + return _mm_set_epi16(d, d, c, c, b, b, a, a); +} + +template<> EIGEN_STRONG_INLINE Packet8bf +ploadquad<Packet8bf>(const bfloat16* from) { + const numext::uint16_t a = numext::bit_cast<numext::uint16_t>(from[0]); + const numext::uint16_t b = numext::bit_cast<numext::uint16_t>(from[1]); + return _mm_set_epi16(b, b, b, b, a, a, a, a); +} + +template<> EIGEN_STRONG_INLINE Packet8bf ptrue(const Packet8bf& a) { + return _mm_cmpeq_epi32(a, a); +} + +template <> +EIGEN_STRONG_INLINE Packet8bf pabs(const Packet8bf& a) { + const __m128i sign_mask = _mm_set1_epi16(static_cast<numext::uint16_t>(0x8000)); + return _mm_andnot_si128(sign_mask, a); +} + +template <> +EIGEN_STRONG_INLINE Packet8bf pmin<Packet8bf>(const Packet8bf& a, + const Packet8bf& b) { + return F32ToBf16(pmin<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + +template <> +EIGEN_STRONG_INLINE Packet8bf pmax<Packet8bf>(const Packet8bf& a, + const Packet8bf& b) { + return F32ToBf16(pmax<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + +template <> +EIGEN_STRONG_INLINE Packet8bf plset<Packet8bf>(const bfloat16& a) { + return F32ToBf16(plset<Packet8f>(static_cast<float>(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf por(const Packet8bf& a,const Packet8bf& b) { + return _mm_or_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8bf pxor(const Packet8bf& a,const Packet8bf& b) { + return _mm_xor_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8bf pand(const Packet8bf& a,const Packet8bf& b) { + return _mm_and_si128(a,b); +} +template<> EIGEN_STRONG_INLINE Packet8bf pandnot(const Packet8bf& a,const Packet8bf& b) { + return _mm_andnot_si128(b,a); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pselect(const Packet8bf& mask, const Packet8bf& a, const Packet8bf& b) { + return _mm_blendv_epi8(b, a, mask); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pround<Packet8bf>(const Packet8bf& a) { - return _mm256_blend_pd(a,pset1<Packet4d>(b),(1<<3)); + return F32ToBf16(pround<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf print<Packet8bf>(const Packet8bf& a) { + return F32ToBf16(print<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pceil<Packet8bf>(const Packet8bf& a) { + return F32ToBf16(pceil<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pfloor<Packet8bf>(const Packet8bf& a) { + return F32ToBf16(pfloor<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_eq(const Packet8bf& a,const Packet8bf& b) { + return Pack16To8(pcmp_eq(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_le(const Packet8bf& a,const Packet8bf& b) { + return Pack16To8(pcmp_le(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt(const Packet8bf& a,const Packet8bf& b) { + return Pack16To8(pcmp_lt(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt_or_nan(const Packet8bf& a,const Packet8bf& b) { + return Pack16To8(pcmp_lt_or_nan(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pconj(const Packet8bf& a) { return a; } + +template<> EIGEN_STRONG_INLINE Packet8bf pnegate(const Packet8bf& a) { + Packet8bf sign_mask = _mm_set1_epi16(static_cast<numext::uint16_t>(0x8000)); + return _mm_xor_si128(a, sign_mask); +} + +template<> EIGEN_STRONG_INLINE Packet8bf padd<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return F32ToBf16(padd<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf psub<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return F32ToBf16(psub<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pmul<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return F32ToBf16(pmul<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pdiv<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return F32ToBf16(pdiv<Packet8f>(Bf16ToF32(a), Bf16ToF32(b))); +} + + +template<> EIGEN_STRONG_INLINE Packet8bf pgather<bfloat16, Packet8bf>(const bfloat16* from, Index stride) +{ + const numext::uint16_t s0 = numext::bit_cast<numext::uint16_t>(from[0*stride]); + const numext::uint16_t s1 = numext::bit_cast<numext::uint16_t>(from[1*stride]); + const numext::uint16_t s2 = numext::bit_cast<numext::uint16_t>(from[2*stride]); + const numext::uint16_t s3 = numext::bit_cast<numext::uint16_t>(from[3*stride]); + const numext::uint16_t s4 = numext::bit_cast<numext::uint16_t>(from[4*stride]); + const numext::uint16_t s5 = numext::bit_cast<numext::uint16_t>(from[5*stride]); + const numext::uint16_t s6 = numext::bit_cast<numext::uint16_t>(from[6*stride]); + const numext::uint16_t s7 = numext::bit_cast<numext::uint16_t>(from[7*stride]); + return _mm_set_epi16(s7, s6, s5, s4, s3, s2, s1, s0); +} + +template<> EIGEN_STRONG_INLINE void pscatter<bfloat16, Packet8bf>(bfloat16* to, const Packet8bf& from, Index stride) +{ + EIGEN_ALIGN32 bfloat16 aux[8]; + pstore(aux, from); + to[stride*0] = aux[0]; + to[stride*1] = aux[1]; + to[stride*2] = aux[2]; + to[stride*3] = aux[3]; + to[stride*4] = aux[4]; + to[stride*5] = aux[5]; + to[stride*6] = aux[6]; + to[stride*7] = aux[7]; +} + +template<> EIGEN_STRONG_INLINE bfloat16 predux<Packet8bf>(const Packet8bf& a) { + return static_cast<bfloat16>(predux<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE bfloat16 predux_max<Packet8bf>(const Packet8bf& a) { + return static_cast<bfloat16>(predux_max<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE bfloat16 predux_min<Packet8bf>(const Packet8bf& a) { + return static_cast<bfloat16>(predux_min<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE bfloat16 predux_mul<Packet8bf>(const Packet8bf& a) { + return static_cast<bfloat16>(predux_mul<Packet8f>(Bf16ToF32(a))); +} + +template<> EIGEN_STRONG_INLINE Packet8bf preverse(const Packet8bf& a) +{ + __m128i m = _mm_setr_epi8(14,15,12,13,10,11,8,9,6,7,4,5,2,3,0,1); + return _mm_shuffle_epi8(a,m); +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock<Packet8bf,8>& kernel) { + __m128i a = kernel.packet[0]; + __m128i b = kernel.packet[1]; + __m128i c = kernel.packet[2]; + __m128i d = kernel.packet[3]; + __m128i e = kernel.packet[4]; + __m128i f = kernel.packet[5]; + __m128i g = kernel.packet[6]; + __m128i h = kernel.packet[7]; + + __m128i a03b03 = _mm_unpacklo_epi16(a, b); + __m128i c03d03 = _mm_unpacklo_epi16(c, d); + __m128i e03f03 = _mm_unpacklo_epi16(e, f); + __m128i g03h03 = _mm_unpacklo_epi16(g, h); + __m128i a47b47 = _mm_unpackhi_epi16(a, b); + __m128i c47d47 = _mm_unpackhi_epi16(c, d); + __m128i e47f47 = _mm_unpackhi_epi16(e, f); + __m128i g47h47 = _mm_unpackhi_epi16(g, h); + + __m128i a01b01c01d01 = _mm_unpacklo_epi32(a03b03, c03d03); + __m128i a23b23c23d23 = _mm_unpackhi_epi32(a03b03, c03d03); + __m128i e01f01g01h01 = _mm_unpacklo_epi32(e03f03, g03h03); + __m128i e23f23g23h23 = _mm_unpackhi_epi32(e03f03, g03h03); + __m128i a45b45c45d45 = _mm_unpacklo_epi32(a47b47, c47d47); + __m128i a67b67c67d67 = _mm_unpackhi_epi32(a47b47, c47d47); + __m128i e45f45g45h45 = _mm_unpacklo_epi32(e47f47, g47h47); + __m128i e67f67g67h67 = _mm_unpackhi_epi32(e47f47, g47h47); + + kernel.packet[0] = _mm_unpacklo_epi64(a01b01c01d01, e01f01g01h01); + kernel.packet[1] = _mm_unpackhi_epi64(a01b01c01d01, e01f01g01h01); + kernel.packet[2] = _mm_unpacklo_epi64(a23b23c23d23, e23f23g23h23); + kernel.packet[3] = _mm_unpackhi_epi64(a23b23c23d23, e23f23g23h23); + kernel.packet[4] = _mm_unpacklo_epi64(a45b45c45d45, e45f45g45h45); + kernel.packet[5] = _mm_unpackhi_epi64(a45b45c45d45, e45f45g45h45); + kernel.packet[6] = _mm_unpacklo_epi64(a67b67c67d67, e67f67g67h67); + kernel.packet[7] = _mm_unpackhi_epi64(a67b67c67d67, e67f67g67h67); +} + +EIGEN_STRONG_INLINE void +ptranspose(PacketBlock<Packet8bf,4>& kernel) { + __m128i a = kernel.packet[0]; + __m128i b = kernel.packet[1]; + __m128i c = kernel.packet[2]; + __m128i d = kernel.packet[3]; + + __m128i ab_03 = _mm_unpacklo_epi16(a, b); + __m128i cd_03 = _mm_unpacklo_epi16(c, d); + __m128i ab_47 = _mm_unpackhi_epi16(a, b); + __m128i cd_47 = _mm_unpackhi_epi16(c, d); + + kernel.packet[0] = _mm_unpacklo_epi32(ab_03, cd_03); + kernel.packet[1] = _mm_unpackhi_epi32(ab_03, cd_03); + kernel.packet[2] = _mm_unpacklo_epi32(ab_47, cd_47); + kernel.packet[3] = _mm_unpackhi_epi32(ab_47, cd_47); } } // end namespace internal |