// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2008-2016 Konstantinos Margaritis // // 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(X) #define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \ Packet4i p4i_##NAME = pset1(X) #define _EIGEN_DECLARE_CONST_Packet2d(NAME,X) \ Packet2d p2d_##NAME = pset1(X) #define _EIGEN_DECLARE_CONST_Packet2l(NAME,X) \ Packet2l p2l_##NAME = pset1(X) #define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \ const Packet4f p4f_##NAME = reinterpret_cast(pset1(X)) #define DST_CHAN 1 #define DST_CTRL(size, count, stride) (((size) << 24) | ((count) << 16) | (stride)) #define __UNPACK_TYPE__(PACKETNAME) typename unpacket_traits::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_MINUS1); //{ 0x80000000, 0x80000000, 0x80000000, 0x80000000} #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, 14,15 }; 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_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }; static Packet16uc p16uc_PSET32_WEVEN = vec_sld(p16uc_DUPLICATE32_HI, (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 }; static Packet16uc p16uc_HALF64_0_16 = vec_sld((Packet16uc)p4i_ZERO, vec_splat((Packet16uc) vec_abs(p4i_MINUS16), 3), 8); //{ 0,0,0,0, 0,0,0,0, 16,16,16,16, 16,16,16,16}; #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_FORWARD, 1), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }; static Packet16uc p16uc_PSET32_WEVEN = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 }; static Packet16uc p16uc_HALF64_0_16 = vec_sld(vec_splat((Packet16uc) vec_abs(p4i_MINUS16), 0), (Packet16uc)p4i_ZERO, 8); //{ 0,0,0,0, 0,0,0,0, 16,16,16,16, 16,16,16,16}; #endif // _BIG_ENDIAN static Packet16uc p16uc_PSET64_HI = (Packet16uc) vec_mergeh((Packet4ui)p16uc_PSET32_WODD, (Packet4ui)p16uc_PSET32_WEVEN); //{ 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 }; static Packet16uc p16uc_PSET64_LO = (Packet16uc) vec_mergel((Packet4ui)p16uc_PSET32_WODD, (Packet4ui)p16uc_PSET32_WEVEN); //{ 8,9,10,11, 12,13,14,15, 8,9,10,11, 12,13,14,15 }; static Packet16uc p16uc_TRANSPOSE64_HI = p16uc_PSET64_HI + p16uc_HALF64_0_16; //{ 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23}; static Packet16uc p16uc_TRANSPOSE64_LO = p16uc_PSET64_LO + p16uc_HALF64_0_16; //{ 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31}; static Packet16uc p16uc_COMPLEX32_REV = vec_sld(p16uc_REVERSE32, p16uc_REVERSE32, 8); //{ 4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11 }; #ifdef _BIG_ENDIAN static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_FORWARD, p16uc_FORWARD, 8); //{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 }; #else static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_PSET64_HI, p16uc_PSET64_LO, 8); //{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 }; #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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 { typedef float type; typedef Packet4f half; typedef Packet4i integer_packet; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef int type; typedef Packet4i half; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef short int type; typedef Packet8s half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef unsigned short int type; typedef Packet8us half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef signed char type; typedef Packet16c half; enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef unsigned char type; typedef Packet16uc half; enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; template<> struct unpacket_traits { typedef bfloat16 type; typedef Packet8bf half; enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; }; 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 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(const float* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet4i pload(const int* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet8s pload(const short int* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet8us pload(const unsigned short int* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet16c pload(const signed char* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet16uc pload(const unsigned char* from) { return pload_common(from); } template<> EIGEN_STRONG_INLINE Packet8bf pload(const bfloat16* from) { return pload_common(reinterpret_cast(from)); } template EIGEN_STRONG_INLINE void pstore_common(__UNPACK_TYPE__(Packet)* to, const Packet& from){ // 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* to, const Packet4f& from) { pstore_common(to, from); } template<> EIGEN_STRONG_INLINE void pstore(int* to, const Packet4i& from) { pstore_common(to, from); } template<> EIGEN_STRONG_INLINE void pstore(short int* to, const Packet8s& from) { pstore_common(to, from); } template<> EIGEN_STRONG_INLINE void pstore(unsigned short int* to, const Packet8us& from) { pstore_common(to, from); } template<> EIGEN_STRONG_INLINE void pstore(bfloat16* to, const Packet8bf& from) { pstore_common(reinterpret_cast(to), from); } template<> EIGEN_STRONG_INLINE void pstore(signed char* to, const Packet16c& from) { pstore_common(to, from); } template<> EIGEN_STRONG_INLINE void pstore(unsigned char* to, const Packet16uc& from) { pstore_common(to, from); } template EIGEN_STRONG_INLINE Packet pset1_size4(const __UNPACK_TYPE__(Packet)& from) { Packet v = {from, from, from, from}; return v; } template EIGEN_STRONG_INLINE Packet pset1_size8(const __UNPACK_TYPE__(Packet)& from) { Packet v = {from, from, from, from, from, from, from, from}; return v; } template 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, from, from}; return v; } template<> EIGEN_STRONG_INLINE Packet4f pset1(const float& from) { return pset1_size4(from); } template<> EIGEN_STRONG_INLINE Packet4i pset1(const int& from) { return pset1_size4(from); } template<> EIGEN_STRONG_INLINE Packet8s pset1(const short int& from) { return pset1_size8(from); } template<> EIGEN_STRONG_INLINE Packet8us pset1(const unsigned short int& from) { return pset1_size8(from); } template<> EIGEN_STRONG_INLINE Packet16c pset1(const signed char& from) { return pset1_size16(from); } template<> EIGEN_STRONG_INLINE Packet16uc pset1(const unsigned char& from) { return pset1_size16(from); } template<> EIGEN_STRONG_INLINE Packet4f pset1frombits(unsigned int from) { return reinterpret_cast(pset1(from)); } template<> EIGEN_STRONG_INLINE Packet8bf pset1(const bfloat16& from) { return pset1_size8(reinterpret_cast(from)); } template EIGEN_STRONG_INLINE void pbroadcast4_common(const __UNPACK_TYPE__(Packet) *a, Packet& a0, Packet& a1, Packet& a2, Packet& a3) { a3 = pload(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(const float *a, Packet4f& a0, Packet4f& a1, Packet4f& a2, Packet4f& a3) { pbroadcast4_common(a, a0, a1, a2, a3); } template<> EIGEN_STRONG_INLINE void pbroadcast4(const int *a, Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3) { pbroadcast4_common(a, a0, a1, a2, a3); } template EIGEN_DEVICE_FUNC inline Packet pgather_common(const __UNPACK_TYPE__(Packet)* from, Index stride) { 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(a); } template<> EIGEN_DEVICE_FUNC inline Packet4f pgather(const float* from, Index stride) { return pgather_common(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet4i pgather(const int* from, Index stride) { return pgather_common(from, stride); } template EIGEN_DEVICE_FUNC inline Packet pgather_size8(const __UNPACK_TYPE__(Packet)* from, Index stride) { 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(a); } template<> EIGEN_DEVICE_FUNC inline Packet8s pgather(const short int* from, Index stride) { return pgather_size8(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet8us pgather(const unsigned short int* from, Index stride) { return pgather_size8(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet8bf pgather(const bfloat16* from, Index stride) { return pgather_size8(from, stride); } template EIGEN_DEVICE_FUNC inline Packet pgather_size16(const __UNPACK_TYPE__(Packet)* from, Index stride) { 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(a); } template<> EIGEN_DEVICE_FUNC inline Packet16c pgather(const signed char* from, Index stride) { return pgather_size16(from, stride); } template<> EIGEN_DEVICE_FUNC inline Packet16uc pgather(const unsigned char* from, Index stride) { return pgather_size16(from, stride); } template EIGEN_DEVICE_FUNC inline void pscatter_size4(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride) { 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* to, const Packet4f& from, Index stride) { pscatter_size4(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter(int* to, const Packet4i& from, Index stride) { pscatter_size4(to, from, stride); } template EIGEN_DEVICE_FUNC inline void pscatter_size8(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride) { 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* to, const Packet8s& from, Index stride) { pscatter_size8(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter(unsigned short int* to, const Packet8us& from, Index stride) { pscatter_size8(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter(bfloat16* to, const Packet8bf& from, Index stride) { pscatter_size8(to, from, stride); } template EIGEN_DEVICE_FUNC inline void pscatter_size16(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride) { 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* to, const Packet16c& from, Index stride) { pscatter_size16(to, from, stride); } template<> EIGEN_DEVICE_FUNC inline void pscatter(unsigned char* to, const Packet16uc& from, Index stride) { pscatter_size16(to, from, stride); } template<> EIGEN_STRONG_INLINE Packet4f plset(const float& a) { return pset1(a) + p4f_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet4i plset(const int& a) { return pset1(a) + p4i_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet8s plset(const short int& a) { return pset1(a) + p8s_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet8us plset(const unsigned short int& a) { return pset1(a) + p8us_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet16c plset(const signed char& a) { return pset1(a) + p16c_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet16uc plset(const unsigned char& a) { return pset1(a) + p16uc_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet4f padd (const Packet4f& a, const Packet4f& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet4i padd (const Packet4i& a, const Packet4i& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet4ui padd (const Packet4ui& a, const Packet4ui& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet8s padd (const Packet8s& a, const Packet8s& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet8us padd (const Packet8us& a, const Packet8us& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet16c padd (const Packet16c& a, const Packet16c& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet16uc padd(const Packet16uc& a, const Packet16uc& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet4f psub (const Packet4f& a, const Packet4f& b) { return a - b; } template<> EIGEN_STRONG_INLINE Packet4i psub (const Packet4i& a, const Packet4i& b) { return a - b; } template<> EIGEN_STRONG_INLINE Packet8s psub (const Packet8s& a, const Packet8s& b) { return a - b; } template<> EIGEN_STRONG_INLINE Packet8us psub (const Packet8us& a, const Packet8us& b) { return a - b; } template<> EIGEN_STRONG_INLINE Packet16c psub (const Packet16c& a, const Packet16c& b) { return a - b; } template<> EIGEN_STRONG_INLINE Packet16uc psub(const Packet16uc& a, const Packet16uc& b) { return a - b; } 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 (const Packet4f& a, const Packet4f& b) { return vec_madd(a,b, p4f_MZERO); } template<> EIGEN_STRONG_INLINE Packet4i pmul (const Packet4i& a, const Packet4i& b) { return a * b; } template<> EIGEN_STRONG_INLINE Packet8s pmul (const Packet8s& a, const Packet8s& b) { return vec_mul(a,b); } template<> EIGEN_STRONG_INLINE Packet8us pmul (const Packet8us& a, const Packet8us& b) { return vec_mul(a,b); } template<> EIGEN_STRONG_INLINE Packet16c pmul (const Packet16c& a, const Packet16c& b) { return vec_mul(a,b); } template<> EIGEN_STRONG_INLINE Packet16uc pmul(const Packet16uc& a, const Packet16uc& b) { return vec_mul(a,b); } template<> EIGEN_STRONG_INLINE Packet4f pdiv(const Packet4f& a, const Packet4f& b) { #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(const Packet4i& /*a*/, const Packet4i& /*b*/) { eigen_assert(false && "packet integer division are not supported by AltiVec"); return pset1(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, const Packet4f& c) { return vec_madd(a,b,c); } template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return a*b + c; } template<> EIGEN_STRONG_INLINE Packet8s pmadd(const Packet8s& a, const Packet8s& b, const Packet8s& c) { return vec_madd(a,b,c); } template<> EIGEN_STRONG_INLINE Packet8us pmadd(const Packet8us& a, const Packet8us& b, const Packet8us& c) { return vec_madd(a,b,c); } template<> EIGEN_STRONG_INLINE Packet4f pmin(const Packet4f& a, const Packet4f& b) { #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" (b)); return ret; #else return vec_min(a, b); #endif } template<> EIGEN_STRONG_INLINE Packet4i pmin(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); } template<> EIGEN_STRONG_INLINE Packet8s pmin(const Packet8s& a, const Packet8s& b) { return vec_min(a, b); } template<> EIGEN_STRONG_INLINE Packet8us pmin(const Packet8us& a, const Packet8us& b) { return vec_min(a, b); } template<> EIGEN_STRONG_INLINE Packet16c pmin(const Packet16c& a, const Packet16c& b) { return vec_min(a, b); } template<> EIGEN_STRONG_INLINE Packet16uc pmin(const Packet16uc& a, const Packet16uc& b) { return vec_min(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pmax(const Packet4f& a, const Packet4f& b) { #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" (b)); return ret; #else return vec_max(a, b); #endif } template<> EIGEN_STRONG_INLINE Packet4i pmax(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); } template<> EIGEN_STRONG_INLINE Packet8s pmax(const Packet8s& a, const Packet8s& b) { return vec_max(a, b); } template<> EIGEN_STRONG_INLINE Packet8us pmax(const Packet8us& a, const Packet8us& b) { return vec_max(a, b); } template<> EIGEN_STRONG_INLINE Packet16c pmax(const Packet16c& a, const Packet16c& b) { return vec_max(a, b); } template<> EIGEN_STRONG_INLINE Packet16uc pmax(const Packet16uc& a, const Packet16uc& b) { return vec_max(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pcmp_le(const Packet4f& a, const Packet4f& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt(const Packet4f& a, const Packet4f& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet4f pcmp_eq(const Packet4f& a, const Packet4f& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f& a, const Packet4f& b) { Packet4f c = reinterpret_cast(vec_cmpge(a,b)); return vec_nor(c,c); } template<> EIGEN_STRONG_INLINE Packet4i pcmp_le(const Packet4i& a, const Packet4i& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet4i pcmp_lt(const Packet4i& a, const Packet4i& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq(const Packet4i& a, const Packet4i& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet8s pcmp_le(const Packet8s& a, const Packet8s& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet8s pcmp_lt(const Packet8s& a, const Packet8s& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet8s pcmp_eq(const Packet8s& a, const Packet8s& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet8us pcmp_le(const Packet8us& a, const Packet8us& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet8us pcmp_lt(const Packet8us& a, const Packet8us& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet8us pcmp_eq(const Packet8us& a, const Packet8us& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet16c pcmp_le(const Packet16c& a, const Packet16c& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet16c pcmp_lt(const Packet16c& a, const Packet16c& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet16c pcmp_eq(const Packet16c& a, const Packet16c& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet16uc pcmp_le(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet16uc pcmp_lt(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet16uc pcmp_eq(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet4f pand(const Packet4f& a, const Packet4f& b) { return vec_and(a, b); } template<> EIGEN_STRONG_INLINE Packet4i pand(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); } template<> EIGEN_STRONG_INLINE Packet4ui pand(const Packet4ui& a, const Packet4ui& b) { return vec_and(a, b); } template<> EIGEN_STRONG_INLINE Packet8us pand(const Packet8us& a, const Packet8us& b) { return vec_and(a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pand(const Packet8bf& a, const Packet8bf& b) { return pand(a, b); } template<> EIGEN_STRONG_INLINE Packet4f por(const Packet4f& a, const Packet4f& b) { return vec_or(a, b); } template<> EIGEN_STRONG_INLINE Packet4i por(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); } template<> EIGEN_STRONG_INLINE Packet8s por(const Packet8s& a, const Packet8s& b) { return vec_or(a, b); } template<> EIGEN_STRONG_INLINE Packet8us por(const Packet8us& a, const Packet8us& b) { return vec_or(a, b); } template<> EIGEN_STRONG_INLINE Packet8bf por(const Packet8bf& a, const Packet8bf& b) { return por(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pxor(const Packet4f& a, const Packet4f& b) { return vec_xor(a, b); } template<> EIGEN_STRONG_INLINE Packet4i pxor(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pxor(const Packet8bf& a, const Packet8bf& b) { return pxor(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pandnot(const Packet4f& a, const Packet4f& b) { return vec_andc(a, b); } template<> EIGEN_STRONG_INLINE Packet4i pandnot(const Packet4i& a, const Packet4i& b) { return vec_andc(a, b); } template<> EIGEN_STRONG_INLINE Packet4f pselect(const Packet4f& mask, const Packet4f& a, const Packet4f& b) { return vec_sel(b, a, reinterpret_cast(mask)); } template<> EIGEN_STRONG_INLINE Packet4f pround(const Packet4f& a) { Packet4f t = vec_add(reinterpret_cast(vec_or(vec_and(reinterpret_cast(a), p4ui_SIGN), p4ui_PREV0DOT5)), a); 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(const Packet4f& a) { return vec_ceil(a); } template<> EIGEN_STRONG_INLINE Packet4f pfloor(const Packet4f& a) { return vec_floor(a); } template<> EIGEN_STRONG_INLINE Packet4f print(const Packet4f& a) { Packet4f res; __asm__("xvrspic %x0, %x1\n\t" : "=&wa" (res) : "wa" (a)); return res; } template EIGEN_STRONG_INLINE Packet ploadu_common(const __UNPACK_TYPE__(Packet)* from) { 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(const float* from) { return ploadu_common(from); } template<> EIGEN_STRONG_INLINE Packet4i ploadu(const int* from) { return ploadu_common(from); } template<> EIGEN_STRONG_INLINE Packet8s ploadu(const short int* from) { return ploadu_common(from); } template<> EIGEN_STRONG_INLINE Packet8us ploadu(const unsigned short int* from) { return ploadu_common(from); } template<> EIGEN_STRONG_INLINE Packet8bf ploadu(const bfloat16* from) { return ploadu_common(reinterpret_cast(from)); } template<> EIGEN_STRONG_INLINE Packet16c ploadu(const signed char* from) { return ploadu_common(from); } template<> EIGEN_STRONG_INLINE Packet16uc ploadu(const unsigned char* from) { return ploadu_common(from); } template EIGEN_STRONG_INLINE Packet ploaddup_common(const __UNPACK_TYPE__(Packet)* from) { Packet p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_DUPLICATE32_HI); } template<> EIGEN_STRONG_INLINE Packet4f ploaddup(const float* from) { return ploaddup_common(from); } template<> EIGEN_STRONG_INLINE Packet4i ploaddup(const int* from) { return ploaddup_common(from); } template<> EIGEN_STRONG_INLINE Packet8s ploaddup(const short int* from) { Packet8s p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_DUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8us ploaddup(const unsigned short int* from) { Packet8us p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_DUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8s ploadquad(const short int* from) { Packet8s p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8us ploadquad(const unsigned short int* from) { Packet8us p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI); } template<> EIGEN_STRONG_INLINE Packet8bf ploadquad(const bfloat16* from) { return ploadquad(reinterpret_cast(from)); } template<> EIGEN_STRONG_INLINE Packet16c ploaddup(const signed char* from) { Packet16c p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_DUPLICATE8_HI); } template<> EIGEN_STRONG_INLINE Packet16uc ploaddup(const unsigned char* from) { Packet16uc p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_perm(p, p, p16uc_DUPLICATE8_HI); } template EIGEN_STRONG_INLINE void pstoreu_common(__UNPACK_TYPE__(Packet)* to, const Packet& from) { 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* to, const Packet4f& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu(int* to, const Packet4i& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu(short int* to, const Packet8s& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu(unsigned short int* to, const Packet8us& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu(bfloat16* to, const Packet8bf& from) { pstoreu_common(reinterpret_cast(to), from); } template<> EIGEN_STRONG_INLINE void pstoreu(signed char* to, const Packet16c& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void pstoreu(unsigned char* to, const Packet16uc& from) { pstoreu_common(to, from); } template<> EIGEN_STRONG_INLINE void prefetch(const float* addr) { EIGEN_PPC_PREFETCH(addr); } template<> EIGEN_STRONG_INLINE void prefetch(const int* addr) { EIGEN_PPC_PREFETCH(addr); } template<> EIGEN_STRONG_INLINE float pfirst(const Packet4f& a) { EIGEN_ALIGN16 float x; vec_ste(a, 0, &x); return x; } template<> EIGEN_STRONG_INLINE int pfirst(const Packet4i& a) { EIGEN_ALIGN16 int x; vec_ste(a, 0, &x); return x; } template EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) pfirst_common(const Packet& a) { EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) x; vec_ste(a, 0, &x); return x; } template<> EIGEN_STRONG_INLINE short int pfirst(const Packet8s& a) { return pfirst_common(a); } template<> EIGEN_STRONG_INLINE unsigned short int pfirst(const Packet8us& a) { return pfirst_common(a); } template<> EIGEN_STRONG_INLINE signed char pfirst(const Packet16c& a) { return pfirst_common(a); } template<> EIGEN_STRONG_INLINE unsigned char pfirst(const Packet16uc& a) { return pfirst_common(a); } template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a) { return reinterpret_cast(vec_perm(reinterpret_cast(a), reinterpret_cast(a), p16uc_REVERSE32)); } template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a) { return reinterpret_cast(vec_perm(reinterpret_cast(a), reinterpret_cast(a), p16uc_REVERSE32)); } template<> EIGEN_STRONG_INLINE Packet8s preverse(const Packet8s& a) { return reinterpret_cast(vec_perm(reinterpret_cast(a), reinterpret_cast(a), p16uc_REVERSE16)); } template<> EIGEN_STRONG_INLINE Packet8us preverse(const Packet8us& a) { return reinterpret_cast(vec_perm(reinterpret_cast(a), reinterpret_cast(a), p16uc_REVERSE16)); } 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(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(p8us_abs_mask, a); } template EIGEN_STRONG_INLINE Packet4i parithmetic_shift_right(const Packet4i& a) { return vec_sra(a,reinterpret_cast(pset1(N))); } template EIGEN_STRONG_INLINE Packet4i plogical_shift_right(const Packet4i& a) { return vec_sr(a,reinterpret_cast(pset1(N))); } template EIGEN_STRONG_INLINE Packet4i plogical_shift_left(const Packet4i& a) { return vec_sl(a,reinterpret_cast(pset1(N))); } template EIGEN_STRONG_INLINE Packet4f plogical_shift_left(const Packet4f& a) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); Packet4ui r = vec_sl(reinterpret_cast(a), p4ui_mask); return reinterpret_cast(r); } template EIGEN_STRONG_INLINE Packet4f plogical_shift_right(const Packet4f& a) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); Packet4ui r = vec_sr(reinterpret_cast(a), p4ui_mask); return reinterpret_cast(r); } template EIGEN_STRONG_INLINE Packet4ui plogical_shift_right(const Packet4ui& a) { const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N); return vec_sr(a, p4ui_mask); } template 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 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 EIGEN_STRONG_INLINE Packet8us plogical_shift_right(const Packet8us& a) { 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(bf.m_val)); } EIGEN_STRONG_INLINE Packet4f Bf16ToF32Odd(const Packet8bf& bf){ const _EIGEN_DECLARE_CONST_FAST_Packet4ui(high_mask, 0xFFFF0000); return pand( reinterpret_cast(bf.m_val), reinterpret_cast(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(p4ui_high_mask), odd); bf_even = plogical_shift_right<16>(even); return reinterpret_cast(por(bf_even, bf_odd)); } EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f p4f){ Packet4ui input = reinterpret_cast(p4f); Packet4ui lsb = plogical_shift_right<16>(input); lsb = pand(lsb, reinterpret_cast(p4i_ONE)); _EIGEN_DECLARE_CONST_FAST_Packet4ui(BIAS,0x7FFFu); Packet4ui rounding_bias = padd(lsb, p4ui_BIAS); input = padd(input, rounding_bias); //Test NaN and Subnormal - Begin const _EIGEN_DECLARE_CONST_FAST_Packet4ui(exp_mask, 0x7F800000); Packet4ui exp = pand(p4ui_exp_mask, reinterpret_cast(p4f)); const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mantissa_mask, 0x7FFFFF); Packet4ui mantissa = pand(p4ui_mantissa_mask, reinterpret_cast(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(p4i_ZERO)); Packet4bi is_mant_zero = vec_cmpeq(mantissa, reinterpret_cast(p4i_ZERO)); Packet4ui nan_selector = pandnot( reinterpret_cast(is_max_exp), reinterpret_cast(is_mant_zero) ); Packet4ui subnormal_selector = pandnot( reinterpret_cast(is_zero_exp), reinterpret_cast(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(p4f), subnormal_selector); //Test NaN and Subnormal - End input = plogical_shift_right<16>(input); return reinterpret_cast(input); } EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f even, Packet4f odd){ Packet4f bf_odd, bf_even; bf_odd = reinterpret_cast(F32ToBf16(odd).m_val); bf_odd = plogical_shift_left<16>(bf_odd); bf_even = reinterpret_cast(F32ToBf16(even).m_val); return reinterpret_cast(por(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(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(padd, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pmul(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(pmul, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pdiv(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(pdiv, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pnegate(const Packet8bf& a) { BF16_TO_F32_UNARY_OP_WRAPPER(pnegate, a); } template<> EIGEN_STRONG_INLINE Packet8bf psub(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(psub, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf psqrt (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(vec_sqrt, a); } template<> EIGEN_STRONG_INLINE Packet8bf prsqrt (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(prsqrt, a); } template<> EIGEN_STRONG_INLINE Packet8bf pexp (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pexp_float, a); } template<> EIGEN_STRONG_INLINE Packet4f pldexp(const Packet4f& a, const Packet4f& exponent) { return pldexp_generic(a,exponent); } template<> EIGEN_STRONG_INLINE Packet8bf pldexp (const Packet8bf& a, const Packet8bf& exponent){ BF16_TO_F32_BINARY_OP_WRAPPER(pldexp, a, exponent); } template<> EIGEN_STRONG_INLINE Packet4f pfrexp(const Packet4f& a, Packet4f& exponent) { return pfrexp_generic(a,exponent); } template<> EIGEN_STRONG_INLINE Packet8bf pfrexp (const Packet8bf& a, Packet8bf& e){ Packet4f a_even = Bf16ToF32Even(a); Packet4f a_odd = Bf16ToF32Odd(a); Packet4f e_even; Packet4f e_odd; Packet4f op_even = pfrexp(a_even, e_even); Packet4f op_odd = pfrexp(a_odd, e_odd); e = F32ToBf16(e_even, e_odd); return F32ToBf16(op_even, op_odd); } template<> EIGEN_STRONG_INLINE Packet8bf psin (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(psin_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf pcos (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pcos_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf plog (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(plog_float, a); } template<> EIGEN_STRONG_INLINE Packet8bf pfloor (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pfloor, a); } template<> EIGEN_STRONG_INLINE Packet8bf pceil (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pceil, a); } template<> EIGEN_STRONG_INLINE Packet8bf pround (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(pround, a); } template<> EIGEN_STRONG_INLINE Packet8bf print (const Packet8bf& a){ BF16_TO_F32_UNARY_OP_WRAPPER(print, a); } template<> EIGEN_STRONG_INLINE Packet8bf pmadd(const Packet8bf& a, const Packet8bf& b, const Packet8bf& c) { 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(a_even, b_even, c_even); Packet4f pmadd_odd = pmadd(a_odd, b_odd, c_odd); return F32ToBf16(pmadd_even, pmadd_odd); } template<> EIGEN_STRONG_INLINE Packet8bf pmin(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(pmin, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pmax(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER(pmax, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt_or_nan(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt_or_nan, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_le(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_le, a, b); } template<> EIGEN_STRONG_INLINE Packet8bf pcmp_eq(const Packet8bf& a, const Packet8bf& b) { BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_eq, a, b); } template<> EIGEN_STRONG_INLINE bfloat16 pfirst(const Packet8bf& a) { return Eigen::bfloat16_impl::raw_uint16_to_bfloat16((pfirst(a))); } template<> EIGEN_STRONG_INLINE Packet8bf ploaddup(const bfloat16* from) { return ploaddup(reinterpret_cast(from)); } template<> EIGEN_STRONG_INLINE Packet8bf plset(const bfloat16& a) { bfloat16 countdown[8] = { bfloat16(0), bfloat16(1), bfloat16(2), bfloat16(3), bfloat16(4), bfloat16(5), bfloat16(6), bfloat16(7) }; return padd(pset1(a), pload(countdown)); } template<> EIGEN_STRONG_INLINE float predux(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(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(const Packet8bf& a) { float redux_even = predux(Bf16ToF32Even(a)); float redux_odd = predux(Bf16ToF32Odd(a)); float f32_result = redux_even + redux_odd; return bfloat16(f32_result); } template EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size8(const Packet& a) { 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(first_loader); Packet4i second_half = pload(second_loader); return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_half) + predux(second_half)); } template<> EIGEN_STRONG_INLINE short int predux(const Packet8s& a) { return predux_size8(a); } template<> EIGEN_STRONG_INLINE unsigned short int predux(const Packet8us& a) { return predux_size8(a); } template EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size16(const Packet& a) { 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(first_loader); Packet4i second_quarter = pload(second_loader); Packet4i third_quarter = pload(third_loader); Packet4i fourth_quarter = pload(fourth_loader); return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_quarter) + predux(second_quarter) + predux(third_quarter) + predux(fourth_quarter)); } template<> EIGEN_STRONG_INLINE signed char predux(const Packet16c& a) { return predux_size16(a); } template<> EIGEN_STRONG_INLINE unsigned char predux(const Packet16uc& a) { return predux_size16(a); } // Other reduction functions: // mul template<> EIGEN_STRONG_INLINE float predux_mul(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(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(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(const Packet8us& a) { 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(const Packet8bf& a) { float redux_even = predux_mul(Bf16ToF32Even(a)); float redux_odd = predux_mul(Bf16ToF32Odd(a)); float f32_result = redux_even * redux_odd; return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE signed char predux_mul(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(const Packet16uc& a) { 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 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(const Packet4f& a) { return predux_min4(a); } template<> EIGEN_STRONG_INLINE int predux_min(const Packet4i& a) { return predux_min4(a); } template<> EIGEN_STRONG_INLINE bfloat16 predux_min(const Packet8bf& a) { float redux_even = predux_min(Bf16ToF32Even(a)); float redux_odd = predux_min(Bf16ToF32Odd(a)); float f32_result = (std::min)(redux_even, redux_odd); return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE short int predux_min(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(const Packet8us& a) { 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(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(const Packet16uc& a) { 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 EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_max4(const Packet& a) { 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(const Packet4f& a) { return predux_max4(a); } template<> EIGEN_STRONG_INLINE int predux_max(const Packet4i& a) { return predux_max4(a); } template<> EIGEN_STRONG_INLINE bfloat16 predux_max(const Packet8bf& a) { float redux_even = predux_max(Bf16ToF32Even(a)); float redux_odd = predux_max(Bf16ToF32Odd(a)); float f32_result = (std::max)(redux_even, redux_odd); return bfloat16(f32_result); } template<> EIGEN_STRONG_INLINE short int predux_max(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(const Packet8us& a) { 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(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(const Packet16uc& a) { 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 EIGEN_DEVICE_FUNC inline void ptranpose_common(PacketBlock& 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& kernel) { ptranpose_common(kernel); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock& kernel) { ptranpose_common(kernel); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock& 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& 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& 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& 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& 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& 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& 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& 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& 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& 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 EIGEN_STRONG_INLINE Packet pblend4(const Selector<4>& ifPacket, const Packet& thenPacket, const Packet& elsePacket) { Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] }; Packet4ui mask = reinterpret_cast(vec_cmpeq(reinterpret_cast(select), reinterpret_cast(p4i_ONE))); return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packet4i& thenPacket, const Packet4i& elsePacket) { return pblend4(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) { return pblend4(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet8s pblend(const Selector<8>& ifPacket, const Packet8s& thenPacket, const Packet8s& elsePacket) { Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3], ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] }; Packet8us mask = reinterpret_cast(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 Packet8us& thenPacket, const Packet8us& elsePacket) { Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3], ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] }; Packet8us mask = reinterpret_cast(vec_cmpeq(reinterpret_cast(select), p8us_ONE)); return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet8bf pblend(const Selector<8>& ifPacket, const Packet8bf& thenPacket, const Packet8bf& elsePacket) { return pblend(ifPacket, thenPacket, elsePacket); } template<> EIGEN_STRONG_INLINE Packet16c pblend(const Selector<16>& ifPacket, const Packet16c& thenPacket, const Packet16c& elsePacket) { Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3], 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(vec_cmpeq(reinterpret_cast(select), p16uc_ONE)); return vec_sel(elsePacket, thenPacket, mask); } template<> EIGEN_STRONG_INLINE Packet16uc pblend(const Selector<16>& ifPacket, const Packet16uc& thenPacket, const Packet16uc& elsePacket) { Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3], 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(vec_cmpeq(reinterpret_cast(select), p16uc_ONE)); return vec_sel(elsePacket, thenPacket, mask); } template <> struct type_casting_traits { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template <> struct type_casting_traits { enum { VectorizedCast = 1, SrcCoeffRatio = 1, TgtCoeffRatio = 1 }; }; template<> EIGEN_STRONG_INLINE Packet4i pcast(const Packet4f& a) { return vec_cts(a,0); } template<> EIGEN_STRONG_INLINE Packet4ui pcast(const Packet4f& a) { return vec_ctu(a,0); } template<> EIGEN_STRONG_INLINE Packet4f pcast(const Packet4i& a) { return vec_ctf(a,0); } template<> EIGEN_STRONG_INLINE Packet4f pcast(const Packet4ui& a) { return vec_ctf(a,0); } template<> EIGEN_STRONG_INLINE Packet8us pcast(const Packet8bf& a) { Packet4f float_even = Bf16ToF32Even(a); Packet4f float_odd = Bf16ToF32Odd(a); Packet4ui int_even = pcast(float_even); Packet4ui int_odd = pcast(float_odd); const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF); Packet4ui low_even = pand(int_even, p4ui_low_mask); Packet4ui low_odd = pand(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(low_even, low_odd); return reinterpret_cast(int_final); } template<> EIGEN_STRONG_INLINE Packet8bf pcast(const Packet8us& a) { //short -> int -> float -> bfloat16 const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF); Packet4ui int_cast = reinterpret_cast(a); Packet4ui int_even = pand(int_cast, p4ui_low_mask); Packet4ui int_odd = plogical_shift_right<16>(int_cast); Packet4f float_even = pcast(int_even); Packet4f float_odd = pcast(int_odd); return F32ToBf16(float_even, float_odd); } template<> EIGEN_STRONG_INLINE Packet4i preinterpret(const Packet4f& a) { return reinterpret_cast(a); } template<> EIGEN_STRONG_INLINE Packet4f preinterpret(const Packet4i& a) { return reinterpret_cast(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(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(p4f_ZERO); static Packet2d p2d_MZERO = { numext::bit_cast(0x8000000000000000ull), numext::bit_cast(0x8000000000000000ull) }; #ifdef _BIG_ENDIAN static Packet2d p2d_COUNTDOWN = reinterpret_cast(vec_sld(reinterpret_cast(p2d_ZERO), reinterpret_cast(p2d_ONE), 8)); #else static Packet2d p2d_COUNTDOWN = reinterpret_cast(vec_sld(reinterpret_cast(p2d_ONE), reinterpret_cast(p2d_ZERO), 8)); #endif template Packet2d vec_splat_dbl(Packet2d& a) { return vec_splat(a, index); } template<> struct packet_traits : 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 { typedef double type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet2d half; }; 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(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return vec_xl(0, const_cast(from)); // cast needed by Clang } template<> EIGEN_STRONG_INLINE void pstore(double* to, const Packet2d& from) { EIGEN_DEBUG_ALIGNED_STORE vec_xst(from, 0, to); } template<> EIGEN_STRONG_INLINE Packet2d pset1(const double& from) { Packet2d v = {from, from}; return v; } template<> EIGEN_STRONG_INLINE Packet2d pset1frombits(unsigned long from) { Packet2l v = {static_cast(from), static_cast(from)}; return reinterpret_cast(v); } template<> EIGEN_STRONG_INLINE void pbroadcast4(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(a[0]); a1 = pset1(a[1]); a2 = pset1(a[2]); a3 = pset1(a[3]); } template<> EIGEN_DEVICE_FUNC inline Packet2d pgather(const double* from, Index stride) { EIGEN_ALIGN16 double af[2]; af[0] = from[0*stride]; af[1] = from[1*stride]; return pload(af); } template<> EIGEN_DEVICE_FUNC inline void pscatter(double* to, const Packet2d& from, Index stride) { EIGEN_ALIGN16 double af[2]; pstore(af, from); to[0*stride] = af[0]; to[1*stride] = af[1]; } template<> EIGEN_STRONG_INLINE Packet2d plset(const double& a) { return pset1(a) + p2d_COUNTDOWN; } template<> EIGEN_STRONG_INLINE Packet2d padd(const Packet2d& a, const Packet2d& b) { return a + b; } template<> EIGEN_STRONG_INLINE Packet2d psub(const Packet2d& a, const Packet2d& b) { return a - b; } 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(const Packet2d& a, const Packet2d& b) { return vec_madd(a,b,p2d_MZERO); } template<> EIGEN_STRONG_INLINE Packet2d pdiv(const Packet2d& a, const Packet2d& b) { return vec_div(a,b); } // 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, const Packet2d& c) { return vec_madd(a, b, c); } template<> EIGEN_STRONG_INLINE Packet2d pmin(const Packet2d& a, const Packet2d& b) { // 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" (b)); return ret; } template<> EIGEN_STRONG_INLINE Packet2d pmax(const Packet2d& a, const Packet2d& b) { // 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" (b)); return ret; } template<> EIGEN_STRONG_INLINE Packet2d pcmp_le(const Packet2d& a, const Packet2d& b) { return reinterpret_cast(vec_cmple(a,b)); } template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt(const Packet2d& a, const Packet2d& b) { return reinterpret_cast(vec_cmplt(a,b)); } template<> EIGEN_STRONG_INLINE Packet2d pcmp_eq(const Packet2d& a, const Packet2d& b) { return reinterpret_cast(vec_cmpeq(a,b)); } template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt_or_nan(const Packet2d& a, const Packet2d& b) { Packet2d c = reinterpret_cast(vec_cmpge(a,b)); return vec_nor(c,c); } template<> EIGEN_STRONG_INLINE Packet2d pand(const Packet2d& a, const Packet2d& b) { return vec_and(a, b); } template<> EIGEN_STRONG_INLINE Packet2d por(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); } template<> EIGEN_STRONG_INLINE Packet2d pxor(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); } template<> EIGEN_STRONG_INLINE Packet2d pandnot(const Packet2d& a, const Packet2d& b) { return vec_and(a, vec_nor(b, b)); } template<> EIGEN_STRONG_INLINE Packet2d pround(const Packet2d& a) { Packet2d t = vec_add(reinterpret_cast(vec_or(vec_and(reinterpret_cast(a), p2ul_SIGN), p2ul_PREV0DOT5)), a); Packet2d res; __asm__("xvrdpiz %x0, %x1\n\t" : "=&wa" (res) : "wa" (t)); return res; } template<> EIGEN_STRONG_INLINE Packet2d pceil(const Packet2d& a) { return vec_ceil(a); } template<> EIGEN_STRONG_INLINE Packet2d pfloor(const Packet2d& a) { return vec_floor(a); } template<> EIGEN_STRONG_INLINE Packet2d print(const Packet2d& a) { Packet2d res; __asm__("xvrdpic %x0, %x1\n\t" : "=&wa" (res) : "wa" (a)); return res; } template<> EIGEN_STRONG_INLINE Packet2d ploadu(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return vec_xl(0, const_cast(from)); } template<> EIGEN_STRONG_INLINE Packet2d ploaddup(const double* from) { Packet2d p; if((std::ptrdiff_t(from) % 16) == 0) p = pload(from); else p = ploadu(from); return vec_splat_dbl<0>(p); } template<> EIGEN_STRONG_INLINE void pstoreu(double* to, const Packet2d& from) { EIGEN_DEBUG_UNALIGNED_STORE vec_xst(from, 0, to); } template<> EIGEN_STRONG_INLINE void prefetch(const double* addr) { EIGEN_PPC_PREFETCH(addr); } template<> EIGEN_STRONG_INLINE double pfirst(const Packet2d& a) { EIGEN_ALIGN16 double x[2]; pstore(x, a); return x[0]; } template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a) { return reinterpret_cast(vec_perm(reinterpret_cast(a), reinterpret_cast(a), p16uc_REVERSE64)); } 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(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(tmp[0]), static_cast(tmp[1]) }; return l; #endif } template<> inline Packet2d pcast(const Packet2l& x) { unsigned long long tmp[2]; memcpy(tmp, &x, sizeof(tmp)); Packet2d d = { static_cast(tmp[0]), static_cast(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 EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) { const Packet2ul shift = { N, N }; return vec_sl(a, shift); } template 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 struct plogical_shift_left_impl; template struct plogical_shift_left_impl= 0)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned n = static_cast(N); const Packet4ui shift = {n, n, n, n}; const Packet4i ai = reinterpret_cast(a); static const unsigned m = static_cast(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(por(out_hi, out_lo)); } }; template struct plogical_shift_left_impl= 32)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned m = static_cast(N - 32); const Packet4ui shift = {m, m, m, m}; const Packet4i ai = reinterpret_cast(a); return reinterpret_cast(shift_even_left(vec_sl(ai, shift))); } }; template EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) { return plogical_shift_left_impl::run(a); } template struct plogical_shift_right_impl; template struct plogical_shift_right_impl= 0)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned n = static_cast(N); const Packet4ui shift = {n, n, n, n}; const Packet4i ai = reinterpret_cast(a); static const unsigned m = static_cast(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(por(out_hi, out_lo)); } }; template struct plogical_shift_right_impl= 32)>::type> { static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) { static const unsigned m = static_cast(N - 32); const Packet4ui shift = {m, m, m, m}; const Packet4i ai = reinterpret_cast(a); return reinterpret_cast(shift_odd_right(vec_sr(ai, shift))); } }; template EIGEN_STRONG_INLINE Packet2l plogical_shift_right(const Packet2l& a) { return plogical_shift_right_impl::run(a); } #endif template<> EIGEN_STRONG_INLINE Packet2d pldexp(const Packet2d& a, const Packet2d& exponent) { // Clamp exponent to [-2099, 2099] const Packet2d max_exponent = pset1(2099.0); const Packet2l e = pcast(pmin(pmax(exponent, pnegate(max_exponent)), 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(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(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(plogical_shift_right<52>(reinterpret_cast(pabs(a)))); } template<> EIGEN_STRONG_INLINE Packet2d pfrexp (const Packet2d& a, Packet2d& exponent) { return pfrexp_generic(a, exponent); } template<> EIGEN_STRONG_INLINE double predux(const Packet2d& a) { Packet2d b, sum; b = reinterpret_cast(vec_sld(reinterpret_cast(a), reinterpret_cast(a), 8)); sum = a + b; return pfirst(sum); } // Other reduction functions: // mul template<> EIGEN_STRONG_INLINE double predux_mul(const Packet2d& a) { return pfirst(pmul(a, reinterpret_cast(vec_sld(reinterpret_cast(a), reinterpret_cast(a), 8)))); } // min template<> EIGEN_STRONG_INLINE double predux_min(const Packet2d& a) { return pfirst(pmin(a, reinterpret_cast(vec_sld(reinterpret_cast(a), reinterpret_cast(a), 8)))); } // max template<> EIGEN_STRONG_INLINE double predux_max(const Packet2d& a) { return pfirst(pmax(a, reinterpret_cast(vec_sld(reinterpret_cast(a), reinterpret_cast(a), 8)))); } EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock& 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 Packet2d& thenPacket, const Packet2d& elsePacket) { Packet2l select = { ifPacket.select[0], ifPacket.select[1] }; Packet2bl mask = reinterpret_cast( vec_cmpeq(reinterpret_cast(select), reinterpret_cast(p2l_ONE)) ); return vec_sel(elsePacket, thenPacket, mask); } #endif // __VSX__ } // end namespace internal } // end namespace Eigen #endif // EIGEN_PACKET_MATH_ALTIVEC_H