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Quelle PacketMath.hSprache: C |
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// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2008-2016 Konstantinos Margaritis <markos@freevec.org> // // This Source Code Form is subject to the terms of the Mozilla // Public License v. 2.0. If a copy of the MPL was not distributed // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. #ifndef EIGEN_PACKET_MATH_ALTIVEC_H #define EIGEN_PACKET_MATH_ALTIVEC_H namespace Eigen { namespace internal { #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD #define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 4 #endif #ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD #define EIGEN_HAS_SINGLE_INSTRUCTION_MADD #endif // NOTE Altivec has 32 registers, but Eigen only accepts a value of 8 or 16 #ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS #define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 32 #endif typedef __vector float Packet4f; typedef __vector int Packet4i; typedef __vector unsigned int Packet4ui; typedef __vector __bool int Packet4bi; typedef __vector short int Packet8s; typedef __vector unsigned short int Packet8us; typedef __vector signed char Packet16c; typedef __vector unsigned char Packet16uc; typedef eigen_packet_wrapper<__vector unsigned short int,0> Packet8bf; // We don't want to write the same code all the time, but we need to reuse the constants // and it doesn't really work to declare them global, so we define macros instead #define _EIGEN_DECLARE_CONST_FAST_Packet4f(NAME,X) \ Packet4f p4f_##NAME = {X, X, X, X} #define _EIGEN_DECLARE_CONST_FAST_Packet4i(NAME,X) \ Packet4i p4i_##NAME = vec_splat_s32(X) #define _EIGEN_DECLARE_CONST_FAST_Packet4ui(NAME,X) \ Packet4ui p4ui_##NAME = {X, X, X, X} #define _EIGEN_DECLARE_CONST_FAST_Packet8us(NAME,X) \ Packet8us p8us_##NAME = {X, X, X, X, X, X, X, X} #define _EIGEN_DECLARE_CONST_FAST_Packet16uc(NAME,X) \ Packet16uc p16uc_##NAME = {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X} #define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \ Packet4f p4f_##NAME = pset1<Packet4f>(X) #define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \ Packet4i p4i_##NAME = pset1<Packet4i>(X) #define _EIGEN_DECLARE_CONST_Packet2d(NAME,X) \ Packet2d p2d_##NAME = pset1<Packet2d>(X) #define _EIGEN_DECLARE_CONST_Packet2l(NAME,X) \ Packet2l p2l_##NAME = pset1<Packet2l>(X) #define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \ const Packet4f p4f_##NAME = reinterpret_cast<Packet4f>(pset1<Packet4i>(X)) #define DST_CHAN 1 #define DST_CTRL(size, count, stride) (((size) << 24) | ((count) << 16) | (stride)) #define __UNPACK_TYPE__(PACKETNAME) typename unpacket_traits<PACKETNAME>::type // These constants are endian-agnostic static _EIGEN_DECLARE_CONST_FAST_Packet4f(ZERO, 0); //{ 0.0, 0.0, 0.0, 0.0} static _EIGEN_DECLARE_CONST_FAST_Packet4i(ZERO, 0); //{ 0, 0, 0, 0,} static _EIGEN_DECLARE_CONST_FAST_Packet4i(ONE,1); //{ 1, 1, 1, 1} static _EIGEN_DECLARE_CONST_FAST_Packet4i(MINUS16,-16); //{ -16, -16, -16, -16} static _EIGEN_DECLARE_CONST_FAST_Packet4i(MINUS1,-1); //{ -1, -1, -1, -1} static _EIGEN_DECLARE_CONST_FAST_Packet4ui(SIGN, 0x80000000u); static _EIGEN_DECLARE_CONST_FAST_Packet4ui(PREV0DOT5, 0x3EFFFFFFu); static _EIGEN_DECLARE_CONST_FAST_Packet8us(ONE,1); //{ 1, 1, 1, 1, 1, 1, 1, 1} static _EIGEN_DECLARE_CONST_FAST_Packet16uc(ONE,1); static Packet4f p4f_MZERO = (Packet4f) vec_sl((Packet4ui)p4i_MINUS1, (Packet4ui)p4i_MI #ifndef __VSX__ static Packet4f p4f_ONE = vec_ctf(p4i_ONE, 0); //{ 1.0, 1.0, 1.0, 1.0} #endif static Packet4f p4f_COUNTDOWN = { 0.0, 1.0, 2.0, 3.0 }; static Packet4i p4i_COUNTDOWN = { 0, 1, 2, 3 }; static Packet8s p8s_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7 }; static Packet8us p8us_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7 }; static Packet16c p16c_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}; static Packet16uc p16uc_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}; static Packet16uc p16uc_REVERSE32 = { 12,13,14,15, 8,9,10,11, 4,5,6,7, 0,1,2,3 }; static Packet16uc p16uc_REVERSE16 = { 14,15, 12,13, 10,11, 8,9, 6,7, 4,5, 2,3, 0,1 }; static Packet16uc p16uc_REVERSE8 = { 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 }; static Packet16uc p16uc_DUPLICATE32_HI = { 0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7 }; static Packet16uc p16uc_DUPLICATE16_HI = { 0,1,0,1, 2,3,2,3, 4,5,4,5, 6,7,6,7 }; static Packet16uc p16uc_DUPLICATE8_HI = { 0,0, 1,1, 2,2, 3,3, 4,4, 5,5, 6,6, 7,7 }; static const Packet16uc p16uc_DUPLICATE16_EVEN= { 0,1 ,0,1, 4,5, 4,5, 8,9, 8,9, 12,13, 12,13 static const Packet16uc p16uc_DUPLICATE16_ODD = { 2,3 ,2,3, 6,7, 6,7, 10,11, 10,11, 14,15, 14 static Packet16uc p16uc_QUADRUPLICATE16_HI = { 0,1,0,1,0,1,0,1, 2,3,2,3,2,3,2,3 }; // Handle endianness properly while loading constants // Define global static constants: #ifdef _BIG_ENDIAN static Packet16uc p16uc_FORWARD = vec_lvsl(0, (float*)0); #ifdef __VSX__ static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 }; #endif static Packet16uc p16uc_PSET32_WODD = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc static Packet16uc p16uc_PSET32_WEVEN = vec_sld(p16uc_DUPLICATE32_HI, (Packet16uc) vec_ static Packet16uc p16uc_HALF64_0_16 = vec_sld((Packet16uc)p4i_ZERO, vec_splat((Packet #else static Packet16uc p16uc_FORWARD = p16uc_REVERSE32; static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 }; static Packet16uc p16uc_PSET32_WODD = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc static Packet16uc p16uc_PSET32_WEVEN = vec_sld((Packet16uc) vec_splat((Packet4ui)p16u static Packet16uc p16uc_HALF64_0_16 = vec_sld(vec_splat((Packet16uc) vec_abs(p4i_MINU #endif // _BIG_ENDIAN static Packet16uc p16uc_PSET64_HI = (Packet16uc) vec_mergeh((Packet4ui)p16uc_PSET32_W static Packet16uc p16uc_PSET64_LO = (Packet16uc) vec_mergel((Packet4ui)p16uc_PSET32_W static Packet16uc p16uc_TRANSPOSE64_HI = p16uc_PSET64_HI + p16uc_HALF64_0_16; //{ 0,1,2, static Packet16uc p16uc_TRANSPOSE64_LO = p16uc_PSET64_LO + p16uc_HALF64_0_16; //{ 8,9,10 static Packet16uc p16uc_COMPLEX32_REV = vec_sld(p16uc_REVERSE32, p16uc_REVERSE32, 8); / #ifdef _BIG_ENDIAN static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_FORWARD, p16uc_FORWARD, 8); //{ 8 #else static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_PSET64_HI, p16uc_PSET64_LO, 8); #endif // _BIG_ENDIAN #if EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC #define EIGEN_PPC_PREFETCH(ADDR) __builtin_prefetch(ADDR); #else #define EIGEN_PPC_PREFETCH(ADDR) asm( " dcbt [%[addr]]\n" :: [addr] "r" (ADDR) : "cc" ); #endif template <> struct packet_traits<float> : default_packet_traits { typedef Packet4f type; typedef Packet4f half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 4, HasHalfPacket = 1, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 1, HasMin = 1, HasMax = 1, HasAbs = 1, HasSin = EIGEN_FAST_MATH, HasCos = EIGEN_FAST_MATH, HasLog = 1, HasExp = 1, #ifdef __VSX__ HasSqrt = 1, #if !EIGEN_COMP_CLANG HasRsqrt = 1, #else HasRsqrt = 0, #endif #else HasSqrt = 0, HasRsqrt = 0, HasTanh = EIGEN_FAST_MATH, HasErf = EIGEN_FAST_MATH, #endif HasRound = 1, HasFloor = 1, HasCeil = 1, HasRint = 1, HasNegate = 1, HasBlend = 1 }; }; template <> struct packet_traits<bfloat16> : default_packet_traits { typedef Packet8bf type; typedef Packet8bf half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 8, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 1, HasMin = 1, HasMax = 1, HasAbs = 1, HasSin = EIGEN_FAST_MATH, HasCos = EIGEN_FAST_MATH, HasLog = 1, HasExp = 1, #ifdef __VSX__ HasSqrt = 1, #if !EIGEN_COMP_CLANG HasRsqrt = 1, #else HasRsqrt = 0, #endif #else HasSqrt = 0, HasRsqrt = 0, HasTanh = EIGEN_FAST_MATH, HasErf = EIGEN_FAST_MATH, #endif HasRound = 1, HasFloor = 1, HasCeil = 1, HasRint = 1, HasNegate = 1, HasBlend = 1 }; }; template <> struct packet_traits<int> : default_packet_traits { typedef Packet4i type; typedef Packet4i half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 4, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasShift = 1, HasMul = 1, HasDiv = 0, HasBlend = 1 }; }; template <> struct packet_traits<short int> : default_packet_traits { typedef Packet8s type; typedef Packet8s half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 8, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 0, HasBlend = 1 }; }; template <> struct packet_traits<unsigned short int> : default_packet_traits { typedef Packet8us type; typedef Packet8us half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 8, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 0, HasBlend = 1 }; }; template <> struct packet_traits<signed char> : default_packet_traits { typedef Packet16c type; typedef Packet16c half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 16, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 0, HasBlend = 1 }; }; template <> struct packet_traits<unsigned char> : default_packet_traits { typedef Packet16uc type; typedef Packet16uc half; enum { Vectorizable = 1, AlignedOnScalar = 1, size = 16, HasHalfPacket = 0, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 0, HasBlend = 1 }; }; template<> struct unpacket_traits<Packet4f> { typedef float type; typedef Packet4f half; typedef Packet4i integer_packet; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, ma }; template<> struct unpacket_traits<Packet4i> { typedef int type; typedef Packet4i half; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, ma }; template<> struct unpacket_traits<Packet8s> { typedef short int type; typedef Packet8s half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, ma }; template<> struct unpacket_traits<Packet8us> { typedef unsigned short int type; typedef Packet8us half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, ma }; template<> struct unpacket_traits<Packet16c> { typedef signed char type; typedef Packet16c half; enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, m }; template<> struct unpacket_traits<Packet16uc> { typedef unsigned char type; typedef Packet16uc half; enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, m }; template<> struct unpacket_traits<Packet8bf> { typedef bfloat16 type; typedef Packet8bf half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, ma }; inline std::ostream & operator <<(std::ostream & s, const Packet16c & v) { union { Packet16c v; signed char n[16]; } vt; vt.v = v; for (int i=0; i< 16; i++) s << vt.n[i] << ", "; return s; } inline std::ostream & operator <<(std::ostream & s, const Packet16uc & v) { union { Packet16uc v; unsigned char n[16]; } vt; vt.v = v; for (int i=0; i< 16; i++) s << vt.n[i] << ", "; return s; } inline std::ostream & operator <<(std::ostream & s, const Packet4f & v) { union { Packet4f v; float n[4]; } vt; vt.v = v; s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3]; return s; } inline std::ostream & operator <<(std::ostream & s, const Packet4i & v) { union { Packet4i v; int n[4]; } vt; vt.v = v; s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3]; return s; } inline std::ostream & operator <<(std::ostream & s, const Packet4ui & v) { union { Packet4ui v; unsigned int n[4]; } vt; vt.v = v; s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3]; return s; } template <typename Packet> EIGEN_STRONG_INLINE Packet pload_common(const __UNPACK_TYPE__(Packet)* from) { // some versions of GCC throw "unused-but-set-parameter". // ignoring these warnings for now. EIGEN_UNUSED_VARIABLE(from); EIGEN_DEBUG_ALIGNED_LOAD #ifdef __VSX__ return vec_xl(0, const_cast<__UNPACK_TYPE__(Packet)*>(from)); #else return vec_ld(0, from); #endif } // Need to define them first or we get specialization after instantiation errors template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from) { return pload_common<Packet4f>(from); } template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from) { return pload_common<Packet4i>(from); } template<> EIGEN_STRONG_INLINE Packet8s pload<Packet8s>(const short int* from) { return pload_common<Packet8s>(from); } template<> EIGEN_STRONG_INLINE Packet8us pload<Packet8us>(const unsigned short int* from) { return pload_common<Packet8us>(from); } template<> EIGEN_STRONG_INLINE Packet16c pload<Packet16c>(const signed char* from) { return pload_common<Packet16c>(from); } template<> EIGEN_STRONG_INLINE Packet16uc pload<Packet16uc>(const unsigned char* from) { return pload_common<Packet16uc>(from); } template<> EIGEN_STRONG_INLINE Packet8bf pload<Packet8bf>(const bfloat16* from) { return pload_common<Packet8us>(reinterpret_cast<const unsigned short int*>(from)); } template <typename Packet> EIGEN_STRONG_INLINE void pstore_common(__UNPACK_TYPE__(Packet)* to, const Packet& // some versions of GCC throw "unused-but-set-parameter" (float *to). // ignoring these warnings for now. EIGEN_UNUSED_VARIABLE(to); EIGEN_DEBUG_ALIGNED_STORE #ifdef __VSX__ vec_xst(from, 0, to); #else vec_st(from, 0, to); #endif } template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from) { pstore_common<Packet4f>(to, from); } template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from) { pstore_common<Packet4i>(to, from); } template<> EIGEN_STRONG_INLINE void pstore<short int>(short int* to, const Packet8s& from { pstore_common<Packet8s>(to, from); } template<> EIGEN_STRONG_INLINE void pstore<unsigned short int>(unsigned short int* to, const P { pstore_common<Packet8us>(to, from); } template<> EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet8bf& fro { pstore_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from); } template<> EIGEN_STRONG_INLINE void pstore<signed char>(signed char* to, const Packet16c& { pstore_common<Packet16c>(to, from); } template<> EIGEN_STRONG_INLINE void pstore<unsigned char>(unsigned char* to, const Packet16u { pstore_common<Packet16uc>(to, from); } template<typename Packet> EIGEN_STRONG_INLINE Packet pset1_size4(const __UNPACK_TYPE__(Packet)& from) { Packet v = {from, from, from, from}; return v; } template<typename Packet> EIGEN_STRONG_INLINE Packet pset1_size8(const __UNPACK_TYPE__(Packet)& from) { Packet v = {from, from, from, from, from, from, from, from}; return v; } template<typename Packet> EIGEN_STRONG_INLINE Packet pset1_size16(const __UNPACK_TYPE__(Packet)& from) { Packet v = {from, from, from, from, from, from, from, from, from, from, from, from, from, from, f return v; } template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) { return pset1_size4<Packet4f>(from); } template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from) { return pset1_size4<Packet4i>(from); } template<> EIGEN_STRONG_INLINE Packet8s pset1<Packet8s>(const short int& from) { return pset1_size8<Packet8s>(from); } template<> EIGEN_STRONG_INLINE Packet8us pset1<Packet8us>(const unsigned short int& fro return pset1_size8<Packet8us>(from); } template<> EIGEN_STRONG_INLINE Packet16c pset1<Packet16c>(const signed char& from) { return pset1_size16<Packet16c>(from); } template<> EIGEN_STRONG_INLINE Packet16uc pset1<Packet16uc>(const unsigned char& from) return pset1_size16<Packet16uc>(from); } template<> EIGEN_STRONG_INLINE Packet4f pset1frombits<Packet4f>(unsigned int from) { return reinterpret_cast<Packet4f>(pset1<Packet4i>(from)); } template<> EIGEN_STRONG_INLINE Packet8bf pset1<Packet8bf>(const bfloat16& from) { return pset1_size8<Packet8us>(reinterpret_cast<const unsigned short int&>(from)); } template<typename Packet> EIGEN_STRONG_INLINE void pbroadcast4_common(const __UNPACK_TYPE__(Packet) *a, Packet& a0, Packet& a1, Packet& a2, Packet& a3) { a3 = pload<Packet>(a); a0 = vec_splat(a3, 0); a1 = vec_splat(a3, 1); a2 = vec_splat(a3, 2); a3 = vec_splat(a3, 3); } template<> EIGEN_STRONG_INLINE void pbroadcast4<Packet4f>(const float *a, Packet4f& a0, Packet4f& a1, Packet4f& a2, Packet4f& a3) { pbroadcast4_common<Packet4f>(a, a0, a1, a2, a3); } template<> EIGEN_STRONG_INLINE void pbroadcast4<Packet4i>(const int *a, Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3) { pbroadcast4_common<Packet4i>(a, a0, a1, a2, a3); } template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_common(const __UNPACK_ { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[4]; a[0] = from[0*stride]; a[1] = from[1*stride]; a[2] = from[2*stride]; a[3] = from[3*stride]; return pload<Packet>(a); } template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Ind { return pgather_common<Packet4f>(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index st { return pgather_common<Packet4i>(from, stride); } template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_size8(const __UNPACK_T { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[8]; a[0] = from[0*stride]; a[1] = from[1*stride]; a[2] = from[2*stride]; a[3] = from[3*stride]; a[4] = from[4*stride]; a[5] = from[5*stride]; a[6] = from[6*stride]; a[7] = from[7*stride]; return pload<Packet>(a); } template<> EIGEN_DEVICE_FUNC inline Packet8s pgather<short int, Packet8s>(const short int* fr { return pgather_size8<Packet8s>(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet8us pgather<unsigned short int, Packet8us>(const u { return pgather_size8<Packet8us>(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet8bf pgather<bfloat16, Packet8bf>(const bfloat16* { return pgather_size8<Packet8bf>(from, stride); } template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_size16(const __UNPACK_ { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[16]; a[0] = from[0*stride]; a[1] = from[1*stride]; a[2] = from[2*stride]; a[3] = from[3*stride]; a[4] = from[4*stride]; a[5] = from[5*stride]; a[6] = from[6*stride]; a[7] = from[7*stride]; a[8] = from[8*stride]; a[9] = from[9*stride]; a[10] = from[10*stride]; a[11] = from[11*stride]; a[12] = from[12*stride]; a[13] = from[13*stride]; a[14] = from[14*stride]; a[15] = from[15*stride]; return pload<Packet>(a); } template<> EIGEN_DEVICE_FUNC inline Packet16c pgather<signed char, Packet16c>(const signed c { return pgather_size16<Packet16c>(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet16uc pgather<unsigned char, Packet16uc>(const uns { return pgather_size16<Packet16uc>(from, stride); } template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size4(__UNPACK_TYPE__( { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[4]; pstore<__UNPACK_TYPE__(Packet)>(a, from); to[0*stride] = a[0]; to[1*stride] = a[1]; to[2*stride] = a[2]; to[3*stride] = a[3]; } template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet4f>(float* to, const Packet4f&& { pscatter_size4<Packet4f>(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& { pscatter_size4<Packet4i>(to, from, stride); } template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size8(__UNPACK_TYPE__( { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[8]; pstore<__UNPACK_TYPE__(Packet)>(a, from); to[0*stride] = a[0]; to[1*stride] = a[1]; to[2*stride] = a[2]; to[3*stride] = a[3]; to[4*stride] = a[4]; to[5*stride] = a[5]; to[6*stride] = a[6]; to[7*stride] = a[7]; } template<> EIGEN_DEVICE_FUNC inline void pscatter<short int, Packet8s>(short int* to, const Pa { pscatter_size8<Packet8s>(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned short int, Packet8us>(unsigned sh { pscatter_size8<Packet8us>(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter<bfloat16, Packet8bf>(bfloat16* to, const P { pscatter_size8<Packet8bf>(to, from, stride); } template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size16(__UNPACK_TYPE__ { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[16]; pstore<__UNPACK_TYPE__(Packet)>(a, from); to[0*stride] = a[0]; to[1*stride] = a[1]; to[2*stride] = a[2]; to[3*stride] = a[3]; to[4*stride] = a[4]; to[5*stride] = a[5]; to[6*stride] = a[6]; to[7*stride] = a[7]; to[8*stride] = a[8]; to[9*stride] = a[9]; to[10*stride] = a[10]; to[11*stride] = a[11]; to[12*stride] = a[12]; to[13*stride] = a[13]; to[14*stride] = a[14]; to[15*stride] = a[15]; } template<> EIGEN_DEVICE_FUNC inline void pscatter<signed char, Packet16c>(signed char* to, co { pscatter_size16<Packet16c>(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned char, Packet16uc>(unsigned char* { pscatter_size16<Packet16uc>(to, from, stride); } template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>(const float& a) { return pset1<Pa template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int& a) { return pset1<Pack template<> EIGEN_STRONG_INLINE Packet8s plset<Packet8s>(const short int& a) { return pset template<> EIGEN_STRONG_INLINE Packet8us plset<Packet8us>(const unsigned short int& a) { template<> EIGEN_STRONG_INLINE Packet16c plset<Packet16c>(const signed char& a) { return template<> EIGEN_STRONG_INLINE Packet16uc plset<Packet16uc>(const unsigned char& a) { re template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f> (const Packet4f& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i> (const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4ui padd<Packet4ui> (const Packet4ui& a, const Pack template<> EIGEN_STRONG_INLINE Packet8s padd<Packet8s> (const Packet8s& a, const Packet8 template<> EIGEN_STRONG_INLINE Packet8us padd<Packet8us> (const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet16c padd<Packet16c> (const Packet16c& a, const Pack template<> EIGEN_STRONG_INLINE Packet16uc padd<Packet16uc>(const Packet16uc& a, const P template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f> (const Packet4f& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i> (const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet8s psub<Packet8s> (const Packet8s& a, const Packet8 template<> EIGEN_STRONG_INLINE Packet8us psub<Packet8us> (const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet16c psub<Packet16c> (const Packet16c& a, const Pack template<> EIGEN_STRONG_INLINE Packet16uc psub<Packet16uc>(const Packet16uc& a, const P template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a) { return p4f_ZERO - a template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return p4i_ZERO - a template<> EIGEN_STRONG_INLINE Packet4f pconj(const Packet4f& a) { return a; } template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; } template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f> (const Packet4f& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i> (const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet8s pmul<Packet8s> (const Packet8s& a, const Packet8 template<> EIGEN_STRONG_INLINE Packet8us pmul<Packet8us> (const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet16c pmul<Packet16c> (const Packet16c& a, const Pack template<> EIGEN_STRONG_INLINE Packet16uc pmul<Packet16uc>(const Packet16uc& a, const P template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4 { #ifndef __VSX__ // VSX actually provides a div instruction Packet4f t, y_0, y_1; // Altivec does not offer a divide instruction, we have to do a reciprocal approximation y_0 = vec_re(b); // Do one Newton-Raphson iteration to get the needed accuracy t = vec_nmsub(y_0, b, p4f_ONE); y_1 = vec_madd(y_0, t, y_0); return vec_madd(a, y_1, p4f_MZERO); #else return vec_div(a, b); #endif } template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& /*a*/, const Pac { eigen_assert(false && "packet integer division are not supported by AltiVec"); return pset1<Packet4i>(0); } // for some weird raisons, it has to be overloaded for packet of integers template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b template<> EIGEN_STRONG_INLINE Packet8s pmadd(const Packet8s& a, const Packet8s& b template<> EIGEN_STRONG_INLINE Packet8us pmadd(const Packet8us& a, const Packet8us&&nbs template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4 { #ifdef __VSX__ // NOTE: about 10% slower than vec_min, but consistent with std::min and SSE regarding NaN Packet4f ret; __asm__ ("xvcmpgesp %x0,%x1,%x2\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa return ret; #else return vec_min(a, b); #endif } template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet8s pmin<Packet8s>(const Packet8s& a, const Packet8 template<> EIGEN_STRONG_INLINE Packet8us pmin<Packet8us>(const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet16c pmin<Packet16c>(const Packet16c& a, const Pack template<> EIGEN_STRONG_INLINE Packet16uc pmin<Packet16uc>(const Packet16uc& a, const P template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4 { #ifdef __VSX__ // NOTE: about 10% slower than vec_max, but consistent with std::max and SSE regarding NaN Packet4f ret; __asm__ ("xvcmpgtsp %x0,%x2,%x1\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa return ret; #else return vec_max(a, b); #endif } template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet8s pmax<Packet8s>(const Packet8s& a, const Packet8 template<> EIGEN_STRONG_INLINE Packet8us pmax<Packet8us>(const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet16c pmax<Packet16c>(const Packet16c& a, const Pack template<> EIGEN_STRONG_INLINE Packet16uc pmax<Packet16uc>(const Packet16uc& a, const P template<> EIGEN_STRONG_INLINE Packet4f pcmp_le(const Packet4f& a, const Packet4f& template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt(const Packet4f& a, const Packet4f& template<> EIGEN_STRONG_INLINE Packet4f pcmp_eq(const Packet4f& a, const Packet4f& template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f& a, const Packe Packet4f c = reinterpret_cast<Packet4f>(vec_cmpge(a,b)); return vec_nor(c,c); } template<> EIGEN_STRONG_INLINE Packet4i pcmp_le(const Packet4i& a, const Packet4i& template<> EIGEN_STRONG_INLINE Packet4i pcmp_lt(const Packet4i& a, const Packet4i& template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq(const Packet4i& a, const Packet4i& template<> EIGEN_STRONG_INLINE Packet8s pcmp_le(const Packet8s& a, const Packet8s& template<> EIGEN_STRONG_INLINE Packet8s pcmp_lt(const Packet8s& a, const Packet8s& template<> EIGEN_STRONG_INLINE Packet8s pcmp_eq(const Packet8s& a, const Packet8s& template<> EIGEN_STRONG_INLINE Packet8us pcmp_le(const Packet8us& a, const Packet8us&&n template<> EIGEN_STRONG_INLINE Packet8us pcmp_lt(const Packet8us& a, const Packet8us&&n template<> EIGEN_STRONG_INLINE Packet8us pcmp_eq(const Packet8us& a, const Packet8us&&n template<> EIGEN_STRONG_INLINE Packet16c pcmp_le(const Packet16c& a, const Packet16c&&n template<> EIGEN_STRONG_INLINE Packet16c pcmp_lt(const Packet16c& a, const Packet16c&&n template<> EIGEN_STRONG_INLINE Packet16c pcmp_eq(const Packet16c& a, const Packet16c&&n template<> EIGEN_STRONG_INLINE Packet16uc pcmp_le(const Packet16uc& a, const Packet16 template<> EIGEN_STRONG_INLINE Packet16uc pcmp_lt(const Packet16uc& a, const Packet16 template<> EIGEN_STRONG_INLINE Packet16uc pcmp_eq(const Packet16uc& a, const Packet16 template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4ui pand<Packet4ui>(const Packet4ui& a, const Pack template<> EIGEN_STRONG_INLINE Packet8us pand<Packet8us>(const Packet8us& a, const Pack template<> EIGEN_STRONG_INLINE Packet8bf pand<Packet8bf>(const Packet8bf& a, const Pack return pand<Packet8us>(a, b); } template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f&& template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i&& template<> EIGEN_STRONG_INLINE Packet8s por<Packet8s>(const Packet8s& a, const Packet8s&& template<> EIGEN_STRONG_INLINE Packet8us por<Packet8us>(const Packet8us& a, const Packe template<> EIGEN_STRONG_INLINE Packet8bf por<Packet8bf>(const Packet8bf& a, const Packe return por<Packet8us>(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4 template<> EIGEN_STRONG_INLINE Packet8bf pxor<Packet8bf>(const Packet8bf& a, const Pack return pxor<Packet8us>(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Pack template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Pack template<> EIGEN_STRONG_INLINE Packet4f pselect(const Packet4f& mask, const Packet4f&&n return vec_sel(b, a, reinterpret_cast<Packet4ui>(mask)); } template<> EIGEN_STRONG_INLINE Packet4f pround<Packet4f>(const Packet4f& a) { Packet4f t = vec_add(reinterpret_cast<Packet4f>(vec_or(vec_and(reinterpret_cast<Packet Packet4f res; #ifdef __VSX__ __asm__("xvrspiz %x0, %x1\n\t" : "=&wa" (res) : "wa" (t)); #else __asm__("vrfiz %0, %1\n\t" : "=v" (res) : "v" (t)); #endif return res; } template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a) { return vec_ template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a) { return vec template<> EIGEN_STRONG_INLINE Packet4f print<Packet4f>(const Packet4f& a) { Packet4f res; __asm__("xvrspic %x0, %x1\n\t" : "=&wa" (res) : "wa" (a)); return res; } template<typename Packet> EIGEN_STRONG_INLINE Packet ploadu_common(const __UNPACK_TYPE_ { EIGEN_DEBUG_ALIGNED_LOAD #ifdef _BIG_ENDIAN Packet16uc MSQ, LSQ; Packet16uc mask; MSQ = vec_ld(0, (unsigned char *)from); // most significant quadword LSQ = vec_ld(15, (unsigned char *)from); // least significant quadword mask = vec_lvsl(0, from); // create the permute mask //TODO: Add static_cast here return (Packet) vec_perm(MSQ, LSQ, mask); // align the data #else EIGEN_DEBUG_UNALIGNED_LOAD return vec_xl(0, const_cast<__UNPACK_TYPE__(Packet)*>(from)); #endif } template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from) { return ploadu_common<Packet4f>(from); } template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) { return ploadu_common<Packet4i>(from); } template<> EIGEN_STRONG_INLINE Packet8s ploadu<Packet8s>(const short int* from) { return ploadu_common<Packet8s>(from); } template<> EIGEN_STRONG_INLINE Packet8us ploadu<Packet8us>(const unsigned short int* from) { return ploadu_common<Packet8us>(from); } template<> EIGEN_STRONG_INLINE Packet8bf ploadu<Packet8bf>(const bfloat16* from) { return ploadu_common<Packet8us>(reinterpret_cast<const unsigned short int*>(from)); } template<> EIGEN_STRONG_INLINE Packet16c ploadu<Packet16c>(const signed char* from) { return ploadu_common<Packet16c>(from); } template<> EIGEN_STRONG_INLINE Packet16uc ploadu<Packet16uc>(const unsigned char* from) { return ploadu_common<Packet16uc>(from); } template<typename Packet> EIGEN_STRONG_INLINE Packet ploaddup_common(const __UNPACK_TYP { Packet p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet>(from); else p = ploadu<Packet>(from); return vec_perm(p, p, p16uc_DUPLICATE32_HI); } template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from) { return ploaddup_common<Packet4f>(from); } template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from) { return ploaddup_common<Packet4i>(from); } template<> EIGEN_STRONG_INLINE Packet8s ploaddup<Packet8s>(const short int* from) { Packet8s p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8s>(from); else p = ploadu<Packet8s>(from); return vec_perm(p, p, p16uc_DUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8us ploaddup<Packet8us>(const unsigned short int* from { Packet8us p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8us>(from); else p = ploadu<Packet8us>(from); return vec_perm(p, p, p16uc_DUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8s ploadquad<Packet8s>(const short int* from) { Packet8s p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8s>(from); else p = ploadu<Packet8s>(from); return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8us ploadquad<Packet8us>(const unsigned short int* fro { Packet8us p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8us>(from); else p = ploadu<Packet8us>(from); return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8bf ploadquad<Packet8bf>(const bfloat16* from) { return ploadquad<Packet8us>(reinterpret_cast<const unsigned short int*>(from)); } template<> EIGEN_STRONG_INLINE Packet16c ploaddup<Packet16c>(const signed char* from) { Packet16c p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet16c>(from); else p = ploadu<Packet16c>(from); return vec_perm(p, p, p16uc_DUPLICATE8_HI); } template<> EIGEN_STRONG_INLINE Packet16uc ploaddup<Packet16uc>(const unsigned char* from) { Packet16uc p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet16uc>(from); else p = ploadu<Packet16uc>(from); return vec_perm(p, p, p16uc_DUPLICATE8_HI); } template<typename Packet> EIGEN_STRONG_INLINE void pstoreu_common(__UNPACK_TYPE__(Pack { EIGEN_DEBUG_UNALIGNED_STORE #ifdef _BIG_ENDIAN // Taken from http://developer.apple.com/hardwaredrivers/ve/alignment.html // Warning: not thread safe! Packet16uc MSQ, LSQ, edges; Packet16uc edgeAlign, align; MSQ = vec_ld(0, (unsigned char *)to); // most significant quadword LSQ = vec_ld(15, (unsigned char *)to); // least significant quadword edgeAlign = vec_lvsl(0, to); // permute map to extract edges edges=vec_perm(LSQ,MSQ,edgeAlign); // extract the edges align = vec_lvsr( 0, to ); // permute map to misalign data MSQ = vec_perm(edges,(Packet16uc)from,align); // misalign the data (MSQ) LSQ = vec_perm((Packet16uc)from,edges,align); // misalign the data (LSQ) vec_st( LSQ, 15, (unsigned char *)to ); // Store the LSQ part first vec_st( MSQ, 0, (unsigned char *)to ); // Store the MSQ part second #else vec_xst(from, 0, to); #endif } template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from) { pstoreu_common<Packet4f>(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from) { pstoreu_common<Packet4i>(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<short int>(short int* to, const Packet8s& fro { pstoreu_common<Packet8s>(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<unsigned short int>(unsigned short int* to, const { pstoreu_common<Packet8us>(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet8bf& fr { pstoreu_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from); } template<> EIGEN_STRONG_INLINE void pstoreu<signed char>(signed char* to, const Packet16c&&nbs { pstoreu_common<Packet16c>(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu<unsigned char>(unsigned char* to, const Packet16 { pstoreu_common<Packet16uc>(to, from); } template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { EIGEN_PPC_PREFETCH template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { EIGEN_PPC_PREFETCH(add template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { EIGEN_ALIGN1 template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { EIGEN_ALIGN16 i template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) pfirst_common(co EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) x; vec_ste(a, 0, &x); return x; } template<> EIGEN_STRONG_INLINE short int pfirst<Packet8s>(const Packet8s& a) { return pfirst_common<Packet8s>(a); } template<> EIGEN_STRONG_INLINE unsigned short int pfirst<Packet8us>(const Packet8us& a) return pfirst_common<Packet8us>(a); } template<> EIGEN_STRONG_INLINE signed char pfirst<Packet16c>(const Packet16c& a) { return pfirst_common<Packet16c>(a); } template<> EIGEN_STRONG_INLINE unsigned char pfirst<Packet16uc>(const Packet16uc& a) { return pfirst_common<Packet16uc>(a); } template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a) { return reinterpret_cast<Packet4f>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpre } template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a) { return reinterpret_cast<Packet4i>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpre } template<> EIGEN_STRONG_INLINE Packet8s preverse(const Packet8s& a) { return reinterpret_cast<Packet8s>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpre } template<> EIGEN_STRONG_INLINE Packet8us preverse(const Packet8us& a) { return reinterpret_cast<Packet8us>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpr } template<> EIGEN_STRONG_INLINE Packet16c preverse(const Packet16c& a) { return vec_perm(a, a, p16uc_REVERSE8); } template<> EIGEN_STRONG_INLINE Packet16uc preverse(const Packet16uc& a) { return vec_perm(a, a, p16uc_REVERSE8); } template<> EIGEN_STRONG_INLINE Packet8bf preverse(const Packet8bf& a) { return preverse<Packet8us>(a); } template<> EIGEN_STRONG_INLINE Packet4f pabs(const Packet4f& a) { return vec_abs(a); } template<> EIGEN_STRONG_INLINE Packet4i pabs(const Packet4i& a) { return vec_abs(a); } template<> EIGEN_STRONG_INLINE Packet8s pabs(const Packet8s& a) { return vec_abs(a); } template<> EIGEN_STRONG_INLINE Packet8us pabs(const Packet8us& a) { return a; } template<> EIGEN_STRONG_INLINE Packet16c pabs(const Packet16c& a) { return vec_abs(a); template<> EIGEN_STRONG_INLINE Packet16uc pabs(const Packet16uc& a) { return a; } template<> EIGEN_STRONG_INLINE Packet8bf pabs(const Packet8bf& a) { _EIGEN_DECLARE_CONST_FAST_Packet8us(abs_mask,0x7FFF); return pand<Packet8us>(p8us_abs_mask, a); } template<int N> EIGEN_STRONG_INLINE Packet4i parithmetic_shift_right(const Packet4i& { return vec_sra(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); } template<int N> EIGEN_STRONG_INLINE Packet4i plogical_shift_right(const Packet4i& a) { return vec_sr(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); } template<int N> EIGEN_STRONG_INLINE Packet4i plogical_shift_left(const Packet4i& a) { return vec_sl(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); } template<int N> EIGEN_STRONG_INLINE Packet4f plogical_shift_left(const Packet4f& a) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); Packet4ui r = vec_sl(reinterpret_cast<Packet4ui>(a), p4ui_mask); return reinterpret_cast<Packet4f>(r); } template<int N> EIGEN_STRONG_INLINE Packet4f plogical_shift_right(const Packet4f& a) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); Packet4ui r = vec_sr(reinterpret_cast<Packet4ui>(a), p4ui_mask); return reinterpret_cast<Packet4f>(r); } template<int N> EIGEN_STRONG_INLINE Packet4ui plogical_shift_right(const Packet4ui& { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); return vec_sr(a, p4ui_mask); } template<int N> EIGEN_STRONG_INLINE Packet4ui plogical_shift_left(const Packet4ui& a { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); return vec_sl(a, p4ui_mask); } template<int N> EIGEN_STRONG_INLINE Packet8us plogical_shift_left(const Packet8us& a { const _EIGEN_DECLARE_CONST_FAST_Packet8us(mask, N); return vec_sl(a, p8us_mask); } template<int N> EIGEN_STRONG_INLINE Packet8us plogical_shift_right(const Packet8us& { const _EIGEN_DECLARE_CONST_FAST_Packet8us(mask, N); return vec_sr(a, p8us_mask); } EIGEN_STRONG_INLINE Packet4f Bf16ToF32Even(const Packet8bf& bf){ return plogical_shift_left<16>(reinterpret_cast<Packet4f>(bf.m_val)); } EIGEN_STRONG_INLINE Packet4f Bf16ToF32Odd(const Packet8bf& bf){ const _EIGEN_DECLARE_CONST_FAST_Packet4ui(high_mask, 0xFFFF0000); return pand<Packet4f>( reinterpret_cast<Packet4f>(bf.m_val), reinterpret_cast<Packet4f>(p4ui_high_mask) ); } // Simple interleaving of bool masks, prevents true values from being // converted to NaNs. EIGEN_STRONG_INLINE Packet8bf F32ToBf16Bool(Packet4f even, Packet4f odd) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(high_mask, 0xFFFF0000); Packet4f bf_odd, bf_even; bf_odd = pand(reinterpret_cast<Packet4f>(p4ui_high_mask), odd); bf_even = plogical_shift_right<16>(even); return reinterpret_cast<Packet8us>(por<Packet4f>(bf_even, bf_odd)); } EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f p4f){ Packet4ui input = reinterpret_cast<Packet4ui>(p4f); Packet4ui lsb = plogical_shift_right<16>(input); lsb = pand<Packet4ui>(lsb, reinterpret_cast<Packet4ui>(p4i_ONE)); _EIGEN_DECLARE_CONST_FAST_Packet4ui(BIAS,0x7FFFu); Packet4ui rounding_bias = padd<Packet4ui>(lsb, p4ui_BIAS); input = padd<Packet4ui>(input, rounding_bias); //Test NaN and Subnormal - Begin const _EIGEN_DECLARE_CONST_FAST_Packet4ui(exp_mask, 0x7F800000); Packet4ui exp = pand<Packet4ui>(p4ui_exp_mask, reinterpret_cast<Packet4ui>(p4f)); const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mantissa_mask, 0x7FFFFF); Packet4ui mantissa = pand<Packet4ui>(p4ui_mantissa_mask, reinterpret_cast<Packet4ui>(p4f const _EIGEN_DECLARE_CONST_FAST_Packet4ui(max_exp, 0x7F800000); Packet4bi is_max_exp = vec_cmpeq(exp, p4ui_max_exp); Packet4bi is_zero_exp = vec_cmpeq(exp, reinterpret_cast<Packet4ui>(p4i_ZERO)); Packet4bi is_mant_zero = vec_cmpeq(mantissa, reinterpret_cast<Packet4ui>(p4i_ZERO)); Packet4ui nan_selector = pandnot<Packet4ui>( reinterpret_cast<Packet4ui>(is_max_exp), reinterpret_cast<Packet4ui>(is_mant_zero) ); Packet4ui subnormal_selector = pandnot<Packet4ui>( reinterpret_cast<Packet4ui>(is_zero_exp), reinterpret_cast<Packet4ui>(is_mant_zero) ); const _EIGEN_DECLARE_CONST_FAST_Packet4ui(nan, 0x7FC00000); input = vec_sel(input, p4ui_nan, nan_selector); input = vec_sel(input, reinterpret_cast<Packet4ui>(p4f), subnormal_selector); //Test NaN and Subnormal - End input = plogical_shift_right<16>(input); return reinterpret_cast<Packet8us>(input); } EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f even, Packet4f odd){ Packet4f bf_odd, bf_even; bf_odd = reinterpret_cast<Packet4f>(F32ToBf16(odd).m_val); bf_odd = plogical_shift_left<16>(bf_odd); bf_even = reinterpret_cast<Packet4f>(F32ToBf16(even).m_val); return reinterpret_cast<Packet8us>(por<Packet4f>(bf_even, bf_odd)); } #define BF16_TO_F32_UNARY_OP_WRAPPER(OP, A) \ Packet4f a_even = Bf16ToF32Even(A);\ Packet4f a_odd = Bf16ToF32Odd(A);\ Packet4f op_even = OP(a_even);\ Packet4f op_odd = OP(a_odd);\ return F32ToBf16(op_even, op_odd);\ #define BF16_TO_F32_BINARY_OP_WRAPPER(OP, A, B) \ Packet4f a_even = Bf16ToF32Even(A);\ Packet4f a_odd = Bf16ToF32Odd(A);\ Packet4f b_even = Bf16ToF32Even(B);\ Packet4f b_odd = Bf16ToF32Odd(B);\ Packet4f op_even = OP(a_even, b_even);\ Packet4f op_odd = OP(a_odd, b_odd);\ return F32ToBf16(op_even, op_odd);\ #define BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(OP, A, B) \ Packet4f a_even = Bf16ToF32Even(A);\ Packet4f a_odd = Bf16ToF32Odd(A);\ Packet4f b_even = Bf16ToF32Even(B);\ Packet4f b_odd = Bf16ToF32Odd(B);\ Packet4f op_even = OP(a_even, b_even);\ Packet4f op_odd = OP(a_odd, b_odd);\ return F32ToBf16Bool(op_even, op_odd);\ template<> EIGEN_STRONG_INLINE Packet8bf padd<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(padd<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pmul<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(pmul<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pdiv<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(pdiv<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pnegate<Packet8bf>(const Packet8bf& a) { BF16_TO_F32_UNARY_OP_WRAPPER(pnegate<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf psub<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(psub<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf psqrt<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(vec_sqrt, a); } template<> EIGEN_STRONG_INLINE Packet8bf prsqrt<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(prsqrt<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf pexp<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pexp_float, a); } template<> EIGEN_STRONG_INLINE Packet4f pldexp<Packet4f>(const Packet4f& a, const Packe return pldexp_generic(a,exponent); } template<> EIGEN_STRONG_INLINE Packet8bf pldexp<Packet8bf> (const Packet8bf& a, const Pa BF16_TO_F32_BINARY_OP_WRAPPER(pldexp<Packet4f>, a, exponent); } template<> EIGEN_STRONG_INLINE Packet4f pfrexp<Packet4f>(const Packet4f& a, Packet4f&&nb return pfrexp_generic(a,exponent); } template<> EIGEN_STRONG_INLINE Packet8bf pfrexp<Packet8bf> (const Packet8bf& a, Packet8 Packet4f a_even = Bf16ToF32Even(a); Packet4f a_odd = Bf16ToF32Odd(a); Packet4f e_even; Packet4f e_odd; Packet4f op_even = pfrexp<Packet4f>(a_even, e_even); Packet4f op_odd = pfrexp<Packet4f>(a_odd, e_odd); e = F32ToBf16(e_even, e_odd); return F32ToBf16(op_even, op_odd); } template<> EIGEN_STRONG_INLINE Packet8bf psin<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(psin_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf pcos<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pcos_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf plog<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(plog_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf pfloor<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pfloor<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf pceil<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pceil<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf pround<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pround<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf print<Packet8bf> (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(print<Packet4f>, a); } template<> EIGEN_STRONG_INLINE Packet8bf pmadd(const Packet8bf& a, const Packet8bf&&nbs Packet4f a_even = Bf16ToF32Even(a); Packet4f a_odd = Bf16ToF32Odd(a); Packet4f b_even = Bf16ToF32Even(b); Packet4f b_odd = Bf16ToF32Odd(b); Packet4f c_even = Bf16ToF32Even(c); Packet4f c_odd = Bf16ToF32Odd(c); Packet4f pmadd_even = pmadd<Packet4f>(a_even, b_even, c_even); Packet4f pmadd_odd = pmadd<Packet4f>(a_odd, b_odd, c_odd); return F32ToBf16(pmadd_even, pmadd_odd); } template<> EIGEN_STRONG_INLINE Packet8bf pmin<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(pmin<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pmax<Packet8bf>(const Packet8bf& a, const Pack BF16_TO_F32_BINARY_OP_WRAPPER(pmax<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt(const Packet8bf& a, const Packet8bf&&n BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt_or_nan(const Packet8bf& a, const Pac BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt_or_nan<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_le(const Packet8bf& a, const Packet8bf&&n BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_le<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_eq(const Packet8bf& a, const Packet8bf&&n BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_eq<Packet4f>, a, b); } template<> EIGEN_STRONG_INLINE bfloat16 pfirst(const Packet8bf& a) { return Eigen::bfloat16_impl::raw_uint16_to_bfloat16((pfirst<Packet8us>(a))); } template<> EIGEN_STRONG_INLINE Packet8bf ploaddup<Packet8bf>(const bfloat16* from) { return ploaddup<Packet8us>(reinterpret_cast<const unsigned short int*>(from)); } template<> EIGEN_STRONG_INLINE Packet8bf plset<Packet8bf>(const bfloat16& a) { bfloat16 countdown[8] = { bfloat16(0), bfloat16(1), bfloat16(2), bfloat16(3), bfloat16(4), bfloat16(5), bfloat16(6), bfloat16(7) }; return padd<Packet8bf>(pset1<Packet8bf>(a), pload<Packet8bf>(countdown)); } template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a) { Packet4f b, sum; b = vec_sld(a, a, 8); sum = a + b; b = vec_sld(sum, sum, 4); sum += b; return pfirst(sum); } template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a) { Packet4i sum; sum = vec_sums(a, p4i_ZERO); #ifdef _BIG_ENDIAN sum = vec_sld(sum, p4i_ZERO, 12); #else sum = vec_sld(p4i_ZERO, sum, 4); #endif return pfirst(sum); } template<> EIGEN_STRONG_INLINE bfloat16 predux<Packet8bf>(const Packet8bf& a) { float redux_even = predux<Packet4f>(Bf16ToF32Even(a)); float redux_odd = predux<Packet4f>(Bf16ToF32Odd(a)); float f32_result = redux_even + redux_odd; return bfloat16(f32_result); } template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size8(con { union{ Packet v; __UNPACK_TYPE__(Packet) n[8]; } vt; vt.v = a; EIGEN_ALIGN16 int first_loader[4] = { vt.n[0], vt.n[1], vt.n[2], vt.n[3] }; EIGEN_ALIGN16 int second_loader[4] = { vt.n[4], vt.n[5], vt.n[6], vt.n[7] }; Packet4i first_half = pload<Packet4i>(first_loader); Packet4i second_half = pload<Packet4i>(second_loader); return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_half) + predux(second_half)) } template<> EIGEN_STRONG_INLINE short int predux<Packet8s>(const Packet8s& a) { return predux_size8<Packet8s>(a); } template<> EIGEN_STRONG_INLINE unsigned short int predux<Packet8us>(const Packet8us& a) { return predux_size8<Packet8us>(a); } template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size16(co { union{ Packet v; __UNPACK_TYPE__(Packet) n[16]; } vt; vt.v = a; EIGEN_ALIGN16 int first_loader[4] = { vt.n[0], vt.n[1], vt.n[2], vt.n[3] }; EIGEN_ALIGN16 int second_loader[4] = { vt.n[4], vt.n[5], vt.n[6], vt.n[7] }; EIGEN_ALIGN16 int third_loader[4] = { vt.n[8], vt.n[9], vt.n[10], vt.n[11] }; EIGEN_ALIGN16 int fourth_loader[4] = { vt.n[12], vt.n[13], vt.n[14], vt.n[15] }; Packet4i first_quarter = pload<Packet4i>(first_loader); Packet4i second_quarter = pload<Packet4i>(second_loader); Packet4i third_quarter = pload<Packet4i>(third_loader); Packet4i fourth_quarter = pload<Packet4i>(fourth_loader); return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_quarter) + predux(second_qua + predux(third_quarter) + predux(fourth_quarter)); } template<> EIGEN_STRONG_INLINE signed char predux<Packet16c>(const Packet16c& a) { return predux_size16<Packet16c>(a); } template<> EIGEN_STRONG_INLINE unsigned char predux<Packet16uc>(const Packet16uc& a) { return predux_size16<Packet16uc>(a); } // Other reduction functions: // mul template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a) { Packet4f prod; prod = pmul(a, vec_sld(a, a, 8)); return pfirst(pmul(prod, vec_sld(prod, prod, 4))); } template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a) { EIGEN_ALIGN16 int aux[4]; pstore(aux, a); return aux[0] * aux[1] * aux[2] * aux[3]; } template<> EIGEN_STRONG_INLINE short int predux_mul<Packet8s>(const Packet8s& a) { Packet8s pair, quad, octo; pair = vec_mul(a, vec_sld(a, a, 8)); quad = vec_mul(pair, vec_sld(pair, pair, 4)); octo = vec_mul(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE unsigned short int predux_mul<Packet8us>(const Packet8us&&nbs { Packet8us pair, quad, octo; pair = vec_mul(a, vec_sld(a, a, 8)); quad = vec_mul(pair, vec_sld(pair, pair, 4)); octo = vec_mul(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE bfloat16 predux_mul<Packet8bf>(const Packet8bf& a) { float redux_even = predux_mul<Packet4f>(Bf16ToF32Even(a)); float redux_odd = predux_mul<Packet4f>(Bf16ToF32Odd(a)); float f32_result = redux_even * redux_odd; return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE signed char predux_mul<Packet16c>(const Packet16c& a) { Packet16c pair, quad, octo, result; pair = vec_mul(a, vec_sld(a, a, 8)); quad = vec_mul(pair, vec_sld(pair, pair, 4)); octo = vec_mul(quad, vec_sld(quad, quad, 2)); result = vec_mul(octo, vec_sld(octo, octo, 1)); return pfirst(result); } template<> EIGEN_STRONG_INLINE unsigned char predux_mul<Packet16uc>(const Packet16uc& { Packet16uc pair, quad, octo, result; pair = vec_mul(a, vec_sld(a, a, 8)); quad = vec_mul(pair, vec_sld(pair, pair, 4)); octo = vec_mul(quad, vec_sld(quad, quad, 2)); result = vec_mul(octo, vec_sld(octo, octo, 1)); return pfirst(result); } // min template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_min4(const Packet& a) { Packet b, res; b = vec_min(a, vec_sld(a, a, 8)); res = vec_min(b, vec_sld(b, b, 4)); return pfirst(res); } template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a) { return predux_min4<Packet4f>(a); } template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a) { return predux_min4<Packet4i>(a); } template<> EIGEN_STRONG_INLINE bfloat16 predux_min<Packet8bf>(const Packet8bf& a) { float redux_even = predux_min<Packet4f>(Bf16ToF32Even(a)); float redux_odd = predux_min<Packet4f>(Bf16ToF32Odd(a)); float f32_result = (std::min)(redux_even, redux_odd); return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE short int predux_min<Packet8s>(const Packet8s& a) { Packet8s pair, quad, octo; //pair = { Min(a0,a4), Min(a1,a5), Min(a2,a6), Min(a3,a7) } pair = vec_min(a, vec_sld(a, a, 8)); //quad = { Min(a0, a4, a2, a6), Min(a1, a5, a3, a7) } quad = vec_min(pair, vec_sld(pair, pair, 4)); //octo = { Min(a0, a4, a2, a6, a1, a5, a3, a7) } octo = vec_min(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE unsigned short int predux_min<Packet8us>(const Packet8us&&nbs { Packet8us pair, quad, octo; //pair = { Min(a0,a4), Min(a1,a5), Min(a2,a6), Min(a3,a7) } pair = vec_min(a, vec_sld(a, a, 8)); //quad = { Min(a0, a4, a2, a6), Min(a1, a5, a3, a7) } quad = vec_min(pair, vec_sld(pair, pair, 4)); //octo = { Min(a0, a4, a2, a6, a1, a5, a3, a7) } octo = vec_min(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE signed char predux_min<Packet16c>(const Packet16c& a) { Packet16c pair, quad, octo, result; pair = vec_min(a, vec_sld(a, a, 8)); quad = vec_min(pair, vec_sld(pair, pair, 4)); octo = vec_min(quad, vec_sld(quad, quad, 2)); result = vec_min(octo, vec_sld(octo, octo, 1)); return pfirst(result); } template<> EIGEN_STRONG_INLINE unsigned char predux_min<Packet16uc>(const Packet16uc& { Packet16uc pair, quad, octo, result; pair = vec_min(a, vec_sld(a, a, 8)); quad = vec_min(pair, vec_sld(pair, pair, 4)); octo = vec_min(quad, vec_sld(quad, quad, 2)); result = vec_min(octo, vec_sld(octo, octo, 1)); return pfirst(result); } // max template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_max4(cons { Packet b, res; b = vec_max(a, vec_sld(a, a, 8)); res = vec_max(b, vec_sld(b, b, 4)); return pfirst(res); } template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a) { return predux_max4<Packet4f>(a); } template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a) { return predux_max4<Packet4i>(a); } template<> EIGEN_STRONG_INLINE bfloat16 predux_max<Packet8bf>(const Packet8bf& a) { float redux_even = predux_max<Packet4f>(Bf16ToF32Even(a)); float redux_odd = predux_max<Packet4f>(Bf16ToF32Odd(a)); float f32_result = (std::max)(redux_even, redux_odd); return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE short int predux_max<Packet8s>(const Packet8s& a) { Packet8s pair, quad, octo; //pair = { Max(a0,a4), Max(a1,a5), Max(a2,a6), Max(a3,a7) } pair = vec_max(a, vec_sld(a, a, 8)); //quad = { Max(a0, a4, a2, a6), Max(a1, a5, a3, a7) } quad = vec_max(pair, vec_sld(pair, pair, 4)); //octo = { Max(a0, a4, a2, a6, a1, a5, a3, a7) } octo = vec_max(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE unsigned short int predux_max<Packet8us>(const Packet8us&&nbs { Packet8us pair, quad, octo; //pair = { Max(a0,a4), Max(a1,a5), Max(a2,a6), Max(a3,a7) } pair = vec_max(a, vec_sld(a, a, 8)); //quad = { Max(a0, a4, a2, a6), Max(a1, a5, a3, a7) } quad = vec_max(pair, vec_sld(pair, pair, 4)); //octo = { Max(a0, a4, a2, a6, a1, a5, a3, a7) } octo = vec_max(quad, vec_sld(quad, quad, 2)); return pfirst(octo); } template<> EIGEN_STRONG_INLINE signed char predux_max<Packet16c>(const Packet16c& a) { Packet16c pair, quad, octo, result; pair = vec_max(a, vec_sld(a, a, 8)); quad = vec_max(pair, vec_sld(pair, pair, 4)); octo = vec_max(quad, vec_sld(quad, quad, 2)); result = vec_max(octo, vec_sld(octo, octo, 1)); return pfirst(result); } template<> EIGEN_STRONG_INLINE unsigned char predux_max<Packet16uc>(const Packet16uc& { Packet16uc pair, quad, octo, result; pair = vec_max(a, vec_sld(a, a, 8)); quad = vec_max(pair, vec_sld(pair, pair, 4)); octo = vec_max(quad, vec_sld(quad, quad, 2)); result = vec_max(octo, vec_sld(octo, octo, 1)); return pfirst(result); } template<> EIGEN_STRONG_INLINE bool predux_any(const Packet4f& x) { return vec_any_ne(x, pzero(x)); } template <typename T> EIGEN_DEVICE_FUNC inline void ptranpose_common(PacketBlock<T,4>& kernel){ T t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]); t1 = vec_mergel(kernel.packet[0], kernel.packet[2]); t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]); t3 = vec_mergel(kernel.packet[1], kernel.packet[3]); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet4f,4>& kernel) { ptranpose_common<Packet4f>(kernel); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet4i,4>& kernel) { ptranpose_common<Packet4i>(kernel); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8s,4>& kernel) { Packet8s t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]); t1 = vec_mergel(kernel.packet[0], kernel.packet[2]); t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]); t3 = vec_mergel(kernel.packet[1], kernel.packet[3]); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8us,4>& kernel) { Packet8us t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]); t1 = vec_mergel(kernel.packet[0], kernel.packet[2]); t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]); t3 = vec_mergel(kernel.packet[1], kernel.packet[3]); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8bf,4>& kernel) { Packet8us t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0].m_val, kernel.packet[2].m_val); t1 = vec_mergel(kernel.packet[0].m_val, kernel.packet[2].m_val); t2 = vec_mergeh(kernel.packet[1].m_val, kernel.packet[3].m_val); t3 = vec_mergel(kernel.packet[1].m_val, kernel.packet[3].m_val); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet16c,4>& kernel) { Packet16c t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]); t1 = vec_mergel(kernel.packet[0], kernel.packet[2]); t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]); t3 = vec_mergel(kernel.packet[1], kernel.packet[3]); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet16uc,4>& kernel) { Packet16uc t0, t1, t2, t3; t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]); t1 = vec_mergel(kernel.packet[0], kernel.packet[2]); t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]); t3 = vec_mergel(kernel.packet[1], kernel.packet[3]); kernel.packet[0] = vec_mergeh(t0, t2); kernel.packet[1] = vec_mergel(t0, t2); kernel.packet[2] = vec_mergeh(t1, t3); kernel.packet[3] = vec_mergel(t1, t3); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8s,8>& kernel) { Packet8s v[8], sum[8]; v[0] = vec_mergeh(kernel.packet[0], kernel.packet[4]); v[1] = vec_mergel(kernel.packet[0], kernel.packet[4]); v[2] = vec_mergeh(kernel.packet[1], kernel.packet[5]); v[3] = vec_mergel(kernel.packet[1], kernel.packet[5]); v[4] = vec_mergeh(kernel.packet[2], kernel.packet[6]); v[5] = vec_mergel(kernel.packet[2], kernel.packet[6]); v[6] = vec_mergeh(kernel.packet[3], kernel.packet[7]); v[7] = vec_mergel(kernel.packet[3], kernel.packet[7]); sum[0] = vec_mergeh(v[0], v[4]); sum[1] = vec_mergel(v[0], v[4]); sum[2] = vec_mergeh(v[1], v[5]); sum[3] = vec_mergel(v[1], v[5]); sum[4] = vec_mergeh(v[2], v[6]); sum[5] = vec_mergel(v[2], v[6]); sum[6] = vec_mergeh(v[3], v[7]); sum[7] = vec_mergel(v[3], v[7]); kernel.packet[0] = vec_mergeh(sum[0], sum[4]); kernel.packet[1] = vec_mergel(sum[0], sum[4]); kernel.packet[2] = vec_mergeh(sum[1], sum[5]); kernel.packet[3] = vec_mergel(sum[1], sum[5]); kernel.packet[4] = vec_mergeh(sum[2], sum[6]); kernel.packet[5] = vec_mergel(sum[2], sum[6]); kernel.packet[6] = vec_mergeh(sum[3], sum[7]); kernel.packet[7] = vec_mergel(sum[3], sum[7]); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8us,8>& kernel) { Packet8us v[8], sum[8]; v[0] = vec_mergeh(kernel.packet[0], kernel.packet[4]); v[1] = vec_mergel(kernel.packet[0], kernel.packet[4]); v[2] = vec_mergeh(kernel.packet[1], kernel.packet[5]); v[3] = vec_mergel(kernel.packet[1], kernel.packet[5]); v[4] = vec_mergeh(kernel.packet[2], kernel.packet[6]); v[5] = vec_mergel(kernel.packet[2], kernel.packet[6]); v[6] = vec_mergeh(kernel.packet[3], kernel.packet[7]); v[7] = vec_mergel(kernel.packet[3], kernel.packet[7]); sum[0] = vec_mergeh(v[0], v[4]); sum[1] = vec_mergel(v[0], v[4]); sum[2] = vec_mergeh(v[1], v[5]); sum[3] = vec_mergel(v[1], v[5]); sum[4] = vec_mergeh(v[2], v[6]); sum[5] = vec_mergel(v[2], v[6]); sum[6] = vec_mergeh(v[3], v[7]); sum[7] = vec_mergel(v[3], v[7]); kernel.packet[0] = vec_mergeh(sum[0], sum[4]); kernel.packet[1] = vec_mergel(sum[0], sum[4]); kernel.packet[2] = vec_mergeh(sum[1], sum[5]); kernel.packet[3] = vec_mergel(sum[1], sum[5]); kernel.packet[4] = vec_mergeh(sum[2], sum[6]); kernel.packet[5] = vec_mergel(sum[2], sum[6]); kernel.packet[6] = vec_mergeh(sum[3], sum[7]); kernel.packet[7] = vec_mergel(sum[3], sum[7]); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8bf,8>& kernel) { Packet8bf v[8], sum[8]; v[0] = vec_mergeh(kernel.packet[0].m_val, kernel.packet[4].m_val); v[1] = vec_mergel(kernel.packet[0].m_val, kernel.packet[4].m_val); v[2] = vec_mergeh(kernel.packet[1].m_val, kernel.packet[5].m_val); v[3] = vec_mergel(kernel.packet[1].m_val, kernel.packet[5].m_val); v[4] = vec_mergeh(kernel.packet[2].m_val, kernel.packet[6].m_val); v[5] = vec_mergel(kernel.packet[2].m_val, kernel.packet[6].m_val); v[6] = vec_mergeh(kernel.packet[3].m_val, kernel.packet[7].m_val); v[7] = vec_mergel(kernel.packet[3].m_val, kernel.packet[7].m_val); sum[0] = vec_mergeh(v[0].m_val, v[4].m_val); sum[1] = vec_mergel(v[0].m_val, v[4].m_val); sum[2] = vec_mergeh(v[1].m_val, v[5].m_val); sum[3] = vec_mergel(v[1].m_val, v[5].m_val); sum[4] = vec_mergeh(v[2].m_val, v[6].m_val); sum[5] = vec_mergel(v[2].m_val, v[6].m_val); sum[6] = vec_mergeh(v[3].m_val, v[7].m_val); sum[7] = vec_mergel(v[3].m_val, v[7].m_val); kernel.packet[0] = vec_mergeh(sum[0].m_val, sum[4].m_val); kernel.packet[1] = vec_mergel(sum[0].m_val, sum[4].m_val); kernel.packet[2] = vec_mergeh(sum[1].m_val, sum[5].m_val); kernel.packet[3] = vec_mergel(sum[1].m_val, sum[5].m_val); kernel.packet[4] = vec_mergeh(sum[2].m_val, sum[6].m_val); kernel.packet[5] = vec_mergel(sum[2].m_val, sum[6].m_val); kernel.packet[6] = vec_mergeh(sum[3].m_val, sum[7].m_val); kernel.packet[7] = vec_mergel(sum[3].m_val, sum[7].m_val); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet16c,16>& kernel) { Packet16c step1[16], step2[16], step3[16]; step1[0] = vec_mergeh(kernel.packet[0], kernel.packet[8]); step1[1] = vec_mergel(kernel.packet[0], kernel.packet[8]); step1[2] = vec_mergeh(kernel.packet[1], kernel.packet[9]); step1[3] = vec_mergel(kernel.packet[1], kernel.packet[9]); step1[4] = vec_mergeh(kernel.packet[2], kernel.packet[10]); step1[5] = vec_mergel(kernel.packet[2], kernel.packet[10]); step1[6] = vec_mergeh(kernel.packet[3], kernel.packet[11]); step1[7] = vec_mergel(kernel.packet[3], kernel.packet[11]); step1[8] = vec_mergeh(kernel.packet[4], kernel.packet[12]); step1[9] = vec_mergel(kernel.packet[4], kernel.packet[12]); step1[10] = vec_mergeh(kernel.packet[5], kernel.packet[13]); step1[11] = vec_mergel(kernel.packet[5], kernel.packet[13]); step1[12] = vec_mergeh(kernel.packet[6], kernel.packet[14]); step1[13] = vec_mergel(kernel.packet[6], kernel.packet[14]); step1[14] = vec_mergeh(kernel.packet[7], kernel.packet[15]); step1[15] = vec_mergel(kernel.packet[7], kernel.packet[15]); step2[0] = vec_mergeh(step1[0], step1[8]); step2[1] = vec_mergel(step1[0], step1[8]); step2[2] = vec_mergeh(step1[1], step1[9]); step2[3] = vec_mergel(step1[1], step1[9]); step2[4] = vec_mergeh(step1[2], step1[10]); step2[5] = vec_mergel(step1[2], step1[10]); step2[6] = vec_mergeh(step1[3], step1[11]); step2[7] = vec_mergel(step1[3], step1[11]); step2[8] = vec_mergeh(step1[4], step1[12]); step2[9] = vec_mergel(step1[4], step1[12]); step2[10] = vec_mergeh(step1[5], step1[13]); step2[11] = vec_mergel(step1[5], step1[13]); step2[12] = vec_mergeh(step1[6], step1[14]); step2[13] = vec_mergel(step1[6], step1[14]); step2[14] = vec_mergeh(step1[7], step1[15]); step2[15] = vec_mergel(step1[7], step1[15]); step3[0] = vec_mergeh(step2[0], step2[8]); step3[1] = vec_mergel(step2[0], step2[8]); step3[2] = vec_mergeh(step2[1], step2[9]); step3[3] = vec_mergel(step2[1], step2[9]); step3[4] = vec_mergeh(step2[2], step2[10]); step3[5] = vec_mergel(step2[2], step2[10]); step3[6] = vec_mergeh(step2[3], step2[11]); step3[7] = vec_mergel(step2[3], step2[11]); step3[8] = vec_mergeh(step2[4], step2[12]); step3[9] = vec_mergel(step2[4], step2[12]); step3[10] = vec_mergeh(step2[5], step2[13]); step3[11] = vec_mergel(step2[5], step2[13]); step3[12] = vec_mergeh(step2[6], step2[14]); step3[13] = vec_mergel(step2[6], step2[14]); step3[14] = vec_mergeh(step2[7], step2[15]); step3[15] = vec_mergel(step2[7], step2[15]); kernel.packet[0] = vec_mergeh(step3[0], step3[8]); kernel.packet[1] = vec_mergel(step3[0], step3[8]); kernel.packet[2] = vec_mergeh(step3[1], step3[9]); kernel.packet[3] = vec_mergel(step3[1], step3[9]); kernel.packet[4] = vec_mergeh(step3[2], step3[10]); kernel.packet[5] = vec_mergel(step3[2], step3[10]); kernel.packet[6] = vec_mergeh(step3[3], step3[11]); kernel.packet[7] = vec_mergel(step3[3], step3[11]); kernel.packet[8] = vec_mergeh(step3[4], step3[12]); kernel.packet[9] = vec_mergel(step3[4], step3[12]); kernel.packet[10] = vec_mergeh(step3[5], step3[13]); kernel.packet[11] = vec_mergel(step3[5], step3[13]); kernel.packet[12] = vec_mergeh(step3[6], step3[14]); kernel.packet[13] = vec_mergel(step3[6], step3[14]); kernel.packet[14] = vec_mergeh(step3[7], step3[15]); kernel.packet[15] = vec_mergel(step3[7], step3[15]); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet16uc,16>& kernel) { Packet16uc step1[16], step2[16], step3[16]; step1[0] = vec_mergeh(kernel.packet[0], kernel.packet[8]); step1[1] = vec_mergel(kernel.packet[0], kernel.packet[8]); step1[2] = vec_mergeh(kernel.packet[1], kernel.packet[9]); step1[3] = vec_mergel(kernel.packet[1], kernel.packet[9]); step1[4] = vec_mergeh(kernel.packet[2], kernel.packet[10]); step1[5] = vec_mergel(kernel.packet[2], kernel.packet[10]); step1[6] = vec_mergeh(kernel.packet[3], kernel.packet[11]); step1[7] = vec_mergel(kernel.packet[3], kernel.packet[11]); step1[8] = vec_mergeh(kernel.packet[4], kernel.packet[12]); step1[9] = vec_mergel(kernel.packet[4], kernel.packet[12]); step1[10] = vec_mergeh(kernel.packet[5], kernel.packet[13]); step1[11] = vec_mergel(kernel.packet[5], kernel.packet[13]); step1[12] = vec_mergeh(kernel.packet[6], kernel.packet[14]); step1[13] = vec_mergel(kernel.packet[6], kernel.packet[14]); step1[14] = vec_mergeh(kernel.packet[7], kernel.packet[15]); step1[15] = vec_mergel(kernel.packet[7], kernel.packet[15]); step2[0] = vec_mergeh(step1[0], step1[8]); step2[1] = vec_mergel(step1[0], step1[8]); step2[2] = vec_mergeh(step1[1], step1[9]); step2[3] = vec_mergel(step1[1], step1[9]); step2[4] = vec_mergeh(step1[2], step1[10]); step2[5] = vec_mergel(step1[2], step1[10]); step2[6] = vec_mergeh(step1[3], step1[11]); step2[7] = vec_mergel(step1[3], step1[11]); step2[8] = vec_mergeh(step1[4], step1[12]); step2[9] = vec_mergel(step1[4], step1[12]); step2[10] = vec_mergeh(step1[5], step1[13]); step2[11] = vec_mergel(step1[5], step1[13]); step2[12] = vec_mergeh(step1[6], step1[14]); step2[13] = vec_mergel(step1[6], step1[14]); step2[14] = vec_mergeh(step1[7], step1[15]); step2[15] = vec_mergel(step1[7], step1[15]); step3[0] = vec_mergeh(step2[0], step2[8]); step3[1] = vec_mergel(step2[0], step2[8]); step3[2] = vec_mergeh(step2[1], step2[9]); step3[3] = vec_mergel(step2[1], step2[9]); step3[4] = vec_mergeh(step2[2], step2[10]); step3[5] = vec_mergel(step2[2], step2[10]); step3[6] = vec_mergeh(step2[3], step2[11]); step3[7] = vec_mergel(step2[3], step2[11]); step3[8] = vec_mergeh(step2[4], step2[12]); step3[9] = vec_mergel(step2[4], step2[12]); step3[10] = vec_mergeh(step2[5], step2[13]); step3[11] = vec_mergel(step2[5], step2[13]); step3[12] = vec_mergeh(step2[6], step2[14]); step3[13] = vec_mergel(step2[6], step2[14]); step3[14] = vec_mergeh(step2[7], step2[15]); step3[15] = vec_mergel(step2[7], step2[15]); kernel.packet[0] = vec_mergeh(step3[0], step3[8]); kernel.packet[1] = vec_mergel(step3[0], step3[8]); kernel.packet[2] = vec_mergeh(step3[1], step3[9]); kernel.packet[3] = vec_mergel(step3[1], step3[9]); kernel.packet[4] = vec_mergeh(step3[2], step3[10]); kernel.packet[5] = vec_mergel(step3[2], step3[10]); kernel.packet[6] = vec_mergeh(step3[3], step3[11]); kernel.packet[7] = vec_mergel(step3[3], step3[11]); kernel.packet[8] = vec_mergeh(step3[4], step3[12]); kernel.packet[9] = vec_mergel(step3[4], step3[12]); kernel.packet[10] = vec_mergeh(step3[5], step3[13]); kernel.packet[11] = vec_mergel(step3[5], step3[13]); kernel.packet[12] = vec_mergeh(step3[6], step3[14]); kernel.packet[13] = vec_mergel(step3[6], step3[14]); kernel.packet[14] = vec_mergeh(step3[7], step3[15]); kernel.packet[15] = vec_mergel(step3[7], step3[15]); } template<typename Packet> EIGEN_STRONG_INLINE Packet pblend4(const Selector<4>& ifPacket, const Packet& thenPacket, const Packet&& Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPack Packet4ui mask = reinterpret_cast<Packet4ui>(vec_cmpeq(reinterpret_cast<Packet4ui>(sele return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packe return pblend4<Packet4i>(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packe return pblend4<Packet4f>(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet8s pblend(const Selector<8>& ifPacket, const Packe Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPack ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] }; Packet8us mask = reinterpret_cast<Packet8us>(vec_cmpeq(select, p8us_ONE)); Packet8s result = vec_sel(elsePacket, thenPacket, mask); return result; } template<> EIGEN_STRONG_INLINE Packet8us pblend(const Selector<8>& ifPacket, const Pack Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPack ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] }; Packet8us mask = reinterpret_cast<Packet8us>(vec_cmpeq(reinterpret_cast<Packet8us>(sele return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet8bf pblend(const Selector<8>& ifPacket, const Pack return pblend<Packet8us>(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet16c pblend(const Selector<16>& ifPacket, const Pac Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPac ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7], ifPacket.select[8], ifPacket.select[9], ifPacket.select[10], ifPacket.select[11], ifPacket.select[12], ifPacket.select[13], ifPacket.select[14], ifPacket.select[15] } Packet16uc mask = reinterpret_cast<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(s return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet16uc pblend(const Selector<16>& ifPacket, const Pa Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPac ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7], ifPacket.select[8], ifPacket.select[9], ifPacket.select[10], ifPacket.select[11], ifPacket.select[12], ifPacket.select[13], ifPacket.select[14], ifPacket.select[15] } Packet16uc mask = reinterpret_cast<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(s return vec_sel(elsePacket, thenPacket, mask); } template <> struct type_casting_traits<float, int> { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits<int, float> { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits<bfloat16, unsigned short int> { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits<unsigned short int, bfloat16> { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template<> EIGEN_STRONG_INLINE Packet4i pcast<Packet4f, Packet4i>(const Packet4f& a) { return vec_cts(a,0); } template<> EIGEN_STRONG_INLINE Packet4ui pcast<Packet4f, Packet4ui>(const Packet4f& a) return vec_ctu(a,0); } template<> EIGEN_STRONG_INLINE Packet4f pcast<Packet4i, Packet4f>(const Packet4i& a) { return vec_ctf(a,0); } template<> EIGEN_STRONG_INLINE Packet4f pcast<Packet4ui, Packet4f>(const Packet4ui& a) return vec_ctf(a,0); } template<> EIGEN_STRONG_INLINE Packet8us pcast<Packet8bf, Packet8us>(const Packet8bf& Packet4f float_even = Bf16ToF32Even(a); Packet4f float_odd = Bf16ToF32Odd(a); Packet4ui int_even = pcast<Packet4f, Packet4ui>(float_even); Packet4ui int_odd = pcast<Packet4f, Packet4ui>(float_odd); const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF); Packet4ui low_even = pand<Packet4ui>(int_even, p4ui_low_mask); Packet4ui low_odd = pand<Packet4ui>(int_odd, p4ui_low_mask); //Check values that are bigger than USHRT_MAX (0xFFFF) Packet4bi overflow_selector; if(vec_any_gt(int_even, p4ui_low_mask)){ overflow_selector = vec_cmpgt(int_even, p4ui_low_mask); low_even = vec_sel(low_even, p4ui_low_mask, overflow_selector); } if(vec_any_gt(int_odd, p4ui_low_mask)){ overflow_selector = vec_cmpgt(int_odd, p4ui_low_mask); low_odd = vec_sel(low_even, p4ui_low_mask, overflow_selector); } low_odd = plogical_shift_left<16>(low_odd); Packet4ui int_final = por<Packet4ui>(low_even, low_odd); return reinterpret_cast<Packet8us>(int_final); } template<> EIGEN_STRONG_INLINE Packet8bf pcast<Packet8us, Packet8bf>(const Packet8us& //short -> int -> float -> bfloat16 const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF); Packet4ui int_cast = reinterpret_cast<Packet4ui>(a); Packet4ui int_even = pand<Packet4ui>(int_cast, p4ui_low_mask); Packet4ui int_odd = plogical_shift_right<16>(int_cast); Packet4f float_even = pcast<Packet4ui, Packet4f>(int_even); Packet4f float_odd = pcast<Packet4ui, Packet4f>(int_odd); return F32ToBf16(float_even, float_odd); } template<> EIGEN_STRONG_INLINE Packet4i preinterpret<Packet4i,Packet4f>(const Packet4f&&nb return reinterpret_cast<Packet4i>(a); } template<> EIGEN_STRONG_INLINE Packet4f preinterpret<Packet4f,Packet4i>(const Packet4i&&nb return reinterpret_cast<Packet4f>(a); } //---------- double ---------- #ifdef __VSX__ typedef __vector double Packet2d; typedef __vector unsigned long long Packet2ul; typedef __vector long long Packet2l; #if EIGEN_COMP_CLANG typedef Packet2ul Packet2bl; #else typedef __vector __bool long Packet2bl; #endif static Packet2l p2l_ONE = { 1, 1 }; static Packet2l p2l_ZERO = reinterpret_cast<Packet2l>(p4i_ZERO); static Packet2ul p2ul_SIGN = { 0x8000000000000000ull, 0x8000000000000000ull }; static Packet2ul p2ul_PREV0DOT5 = { 0x3FDFFFFFFFFFFFFFull, 0x3FDFFFFFFFFFFFFFull }; static Packet2d p2d_ONE = { 1.0, 1.0 }; static Packet2d p2d_ZERO = reinterpret_cast<Packet2d>(p4f_ZERO); static Packet2d p2d_MZERO = { numext::bit_cast<double>(0x8000000000000000ull), numext::bit_cast<double>(0x8000000000000000ull) }; #ifdef _BIG_ENDIAN static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Pac #else static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Pac #endif template<int index> Packet2d vec_splat_dbl(Packet2d& a) { return vec_splat(a, index); } template<> struct packet_traits<double> : default_packet_traits { typedef Packet2d type; typedef Packet2d half; enum { Vectorizable = 1, AlignedOnScalar = 1, size=2, HasHalfPacket = 1, HasAdd = 1, HasSub = 1, HasMul = 1, HasDiv = 1, HasMin = 1, HasMax = 1, HasAbs = 1, HasSin = 0, HasCos = 0, HasLog = 0, HasExp = 1, HasSqrt = 1, HasRsqrt = 1, HasRound = 1, HasFloor = 1, HasCeil = 1, HasRint = 1, HasNegate = 1, HasBlend = 1 }; }; template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2, alignment=Al inline std::ostream & operator <<(std::ostream & s, const Packet2l & v) { union { Packet2l v; int64_t n[2]; } vt; vt.v = v; s << vt.n[0] << ", " << vt.n[1]; return s; } inline std::ostream & operator <<(std::ostream & s, const Packet2d & v) { union { Packet2d v; double n[2]; } vt; vt.v = v; s << vt.n[0] << ", " << vt.n[1]; return s; } // Need to define them first or we get specialization after instantiation errors template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return vec_xl(0, const_cast<double *>(from)); // cast needed by Clang } template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from) { EIGEN_DEBUG_ALIGNED_STORE vec_xst(from, 0, to); } template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { Packet2d v = {from, from}; return v; } template<> EIGEN_STRONG_INLINE Packet2d pset1frombits<Packet2d>(unsigned long from) { Packet2l v = {static_cast<long long>(from), static_cast<long long>(from)}; return reinterpret_cast<Packet2d>(v); } template<> EIGEN_STRONG_INLINE void pbroadcast4<Packet2d>(const double *a, Packet2d& a0, Packet2d& a1, Packet2d& a2, Packet2d& a3) { //This way is faster than vec_splat (at least for doubles in Power 9) a0 = pset1<Packet2d>(a[0]); a1 = pset1<Packet2d>(a[1]); a2 = pset1<Packet2d>(a[2]); a3 = pset1<Packet2d>(a[3]); } template<> EIGEN_DEVICE_FUNC inline Packet2d pgather<double, Packet2d>(const double* from, I { EIGEN_ALIGN16 double af[2]; af[0] = from[0*stride]; af[1] = from[1*stride]; return pload<Packet2d>(af); } template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet2d>(double* to, const Packet { EIGEN_ALIGN16 double af[2]; pstore<double>(af, from); to[0*stride] = af[0]; to[1*stride] = af[1]; } template<> EIGEN_STRONG_INLINE Packet2d plset<Packet2d>(const double& a) { return pset1<P template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2 template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2 template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) { return p2d_ZERO - a template<> EIGEN_STRONG_INLINE Packet2d pconj(const Packet2d& a) { return a; } template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2 template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2 // for some weird raisons, it has to be overloaded for packet of integers template<> EIGEN_STRONG_INLINE Packet2d pmadd(const Packet2d& a, const Packet2d& b template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2 { // NOTE: about 10% slower than vec_min, but consistent with std::min and SSE regarding NaN Packet2d ret; __asm__ ("xvcmpgedp %x0,%x1,%x2\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa return ret; } template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2 { // NOTE: about 10% slower than vec_max, but consistent with std::max and SSE regarding NaN Packet2d ret; __asm__ ("xvcmpgtdp %x0,%x2,%x1\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa return ret; } template<> EIGEN_STRONG_INLINE Packet2d pcmp_le(const Packet2d& a, const Packet2d& template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt(const Packet2d& a, const Packet2d& template<> EIGEN_STRONG_INLINE Packet2d pcmp_eq(const Packet2d& a, const Packet2d& template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt_or_nan(const Packet2d& a, const Packe Packet2d c = reinterpret_cast<Packet2d>(vec_cmpge(a,b)); return vec_nor(c,c); } template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2 template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d&& template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2 template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Pack template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a) { Packet2d t = vec_add(reinterpret_cast<Packet2d>(vec_or(vec_and(reinterpret_cast<Packet Packet2d res; __asm__("xvrdpiz %x0, %x1\n\t" : "=&wa" (res) : "wa" (t)); return res; } template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a) { return vec_ template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec template<> EIGEN_STRONG_INLINE Packet2d print<Packet2d>(const Packet2d& a) { Packet2d res; __asm__("xvrdpic %x0, %x1\n\t" : "=&wa" (res) : "wa" (a)); return res; } template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return vec_xl(0, const_cast<double*>(from)); } template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from) { Packet2d p; if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet2d>(from); else p = ploadu<Packet2d>(from); return vec_splat_dbl<0>(p); } template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from) { EIGEN_DEBUG_UNALIGNED_STORE vec_xst(from, 0, to); } template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { EIGEN_PPC_PREFET template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { EIGEN_ALIGN template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a) { return reinterpret_cast<Packet2d>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpre } template<> EIGEN_STRONG_INLINE Packet2d pabs(const Packet2d& a) { return vec_abs(a); } // VSX support varies between different compilers and even different // versions of the same compiler. For gcc version >= 4.9.3, we can use // vec_cts to efficiently convert Packet2d to Packet2l. Otherwise, use // a slow version that works with older compilers. // Update: apparently vec_cts/vec_ctf intrinsics for 64-bit doubles // are buggy, https://gcc.gnu.org/bugzilla/show_bug.cgi?id=70963 template<> inline Packet2l pcast<Packet2d, Packet2l>(const Packet2d& x) { #if EIGEN_GNUC_AT_LEAST(5, 4) || \ (EIGEN_GNUC_AT(6, 1) && __GNUC_PATCHLEVEL__ >= 1) return vec_cts(x, 0); // TODO: check clang version. #else double tmp[2]; memcpy(tmp, &x, sizeof(tmp)); Packet2l l = { static_cast<long long>(tmp[0]), static_cast<long long>(tmp[1]) }; return l; #endif } template<> inline Packet2d pcast<Packet2l, Packet2d>(const Packet2l& x) { unsigned long long tmp[2]; memcpy(tmp, &x, sizeof(tmp)); Packet2d d = { static_cast<double>(tmp[0]), static_cast<double>(tmp[1]) }; return d; } // Packet2l shifts. // For POWER8 we simply use vec_sr/l. // // Things are more complicated for POWER7. There is actually a // vec_xxsxdi intrinsic but it is not supported by some gcc versions. // So we need to shift by N % 32 and rearrage bytes. #ifdef __POWER8_VECTOR__ template<int N> EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) { const Packet2ul shift = { N, N }; return vec_sl(a, shift); } template<int N> EIGEN_STRONG_INLINE Packet2l plogical_shift_right(const Packet2l& a) { const Packet2ul shift = { N, N }; return vec_sr(a, shift); } #else // Shifts [A, B, C, D] to [B, 0, D, 0]. // Used to implement left shifts for Packet2l. EIGEN_ALWAYS_INLINE Packet4i shift_even_left(const Packet4i& a) { static const Packet16uc perm = { 0x14, 0x15, 0x16, 0x17, 0x00, 0x01, 0x02, 0x03, 0x1c, 0x1d, 0x1e, 0x1f, 0x08, 0x09, 0x0a, 0x0b }; #ifdef _BIG_ENDIAN return vec_perm(p4i_ZERO, a, perm); #else return vec_perm(a, p4i_ZERO, perm); #endif } // Shifts [A, B, C, D] to [0, A, 0, C]. // Used to implement right shifts for Packet2l. EIGEN_ALWAYS_INLINE Packet4i shift_odd_right(const Packet4i& a) { static const Packet16uc perm = { 0x04, 0x05, 0x06, 0x07, 0x10, 0x11, 0x12, 0x13, 0x0c, 0x0d, 0x0e, 0x0f, 0x18, 0x19, 0x1a, 0x1b }; #ifdef _BIG_ENDIAN return vec_perm(p4i_ZERO, a, perm); #else return vec_perm(a, p4i_ZERO, perm); #endif } template<int N, typename EnableIf = void> struct plogical_shift_left_impl; template<int N> struct plogical_shift_left_impl<N, typename enable_if<(N < 32) && (N >= 0)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned n = static_cast<unsigned>(N); const Packet4ui shift = {n, n, n, n}; const Packet4i ai = reinterpret_cast<Packet4i>(a); static const unsigned m = static_cast<unsigned>(32 - N); const Packet4ui shift_right = {m, m, m, m}; const Packet4i out_hi = vec_sl(ai, shift); const Packet4i out_lo = shift_even_left(vec_sr(ai, shift_right)); return reinterpret_cast<Packet2l>(por<Packet4i>(out_hi, out_lo)); } }; template<int N> struct plogical_shift_left_impl<N, typename enable_if<(N >= 32)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned m = static_cast<unsigned>(N - 32); const Packet4ui shift = {m, m, m, m}; const Packet4i ai = reinterpret_cast<Packet4i>(a); return reinterpret_cast<Packet2l>(shift_even_left(vec_sl(ai, shift))); } }; template<int N> EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) { return plogical_shift_left_impl<N>::run(a); } template<int N, typename EnableIf = void> struct plogical_shift_right_impl; template<int N> struct plogical_shift_right_impl<N, typename enable_if<(N < 32) && (N >= 0)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned n = static_cast<unsigned>(N); const Packet4ui shift = {n, n, n, n}; const Packet4i ai = reinterpret_cast<Packet4i>(a); static const unsigned m = static_cast<unsigned>(32 - N); const Packet4ui shift_left = {m, m, m, m}; const Packet4i out_lo = vec_sr(ai, shift); const Packet4i out_hi = shift_odd_right(vec_sl(ai, shift_left)); return reinterpret_cast<Packet2l>(por<Packet4i>(out_hi, out_lo)); } }; template<int N> struct plogical_shift_right_impl<N, typename enable_if<(N >= 32)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned m = static_cast<unsigned>(N - 32); const Packet4ui shift = {m, m, m, m}; const Packet4i ai = reinterpret_cast<Packet4i>(a); return reinterpret_cast<Packet2l>(shift_odd_right(vec_sr(ai, shift))); } }; template<int N> EIGEN_STRONG_INLINE Packet2l plogical_shift_right(const Packet2l& a) { return plogical_shift_right_impl<N>::run(a); } #endif template<> EIGEN_STRONG_INLINE Packet2d pldexp<Packet2d>(const Packet2d& a, const Packe // Clamp exponent to [-2099, 2099] const Packet2d max_exponent = pset1<Packet2d>(2099.0); const Packet2l e = pcast<Packet2d, Packet2l>(pmin(pmax(exponent, pnegate(max_exponent)), // Split 2^e into four factors and multiply: const Packet2l bias = { 1023, 1023 }; Packet2l b = plogical_shift_right<2>(e); // floor(e/4) Packet2d c = reinterpret_cast<Packet2d>(plogical_shift_left<52>(b + bias)); Packet2d out = pmul(pmul(pmul(a, c), c), c); // a * 2^(3b) b = psub(psub(psub(e, b), b), b); // e - 3b c = reinterpret_cast<Packet2d>(plogical_shift_left<52>(b + bias)); // 2^(e - 3b) out = pmul(out, c); // a * 2^e return out; } // Extract exponent without existence of Packet2l. template<> EIGEN_STRONG_INLINE Packet2d pfrexp_generic_get_biased_exponent(const Packet2d& a) { return pcast<Packet2l, Packet2d>(plogical_shift_right<52>(reinterpret_cast<Packet2l>(pab } template<> EIGEN_STRONG_INLINE Packet2d pfrexp<Packet2d> (const Packet2d& a, Packet2d&&nb return pfrexp_generic(a, exponent); } template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a) { Packet2d b, sum; b = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4f>(a), reinterpret_cast<P sum = a + b; return pfirst<Packet2d>(sum); } // Other reduction functions: // mul template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a) { return pfirst(pmul(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a } // min template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a) { return pfirst(pmin(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a } // max template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a) { return pfirst(pmax(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet2d,2>& kernel) { Packet2d t0, t1; t0 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_HI); t1 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_LO); kernel.packet[0] = t0; kernel.packet[1] = t1; } template<> EIGEN_STRONG_INLINE Packet2d pblend(const Selector<2>& ifPacket, const Packe Packet2l select = { ifPacket.select[0], ifPacket.select[1] }; Packet2bl mask = reinterpret_cast<Packet2bl>( vec_cmpeq(reinterpret_cast<Packet2d>(selec return vec_sel(elsePacket, thenPacket, mask); } #endif // __VSX__ } // end namespace internal } // end namespace Eigen #endif // EIGEN_PACKET_MATH_ALTIVEC_H
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2026-06-09