diff options
Diffstat (limited to 'src/3rdparty/eigen/Eigen/src/Core/arch/AltiVec/PacketMath.h')
-rw-r--r-- | src/3rdparty/eigen/Eigen/src/Core/arch/AltiVec/PacketMath.h | 2711 |
1 files changed, 2711 insertions, 0 deletions
diff --git a/src/3rdparty/eigen/Eigen/src/Core/arch/AltiVec/PacketMath.h b/src/3rdparty/eigen/Eigen/src/Core/arch/AltiVec/PacketMath.h new file mode 100644 index 000000000..2a440545b --- /dev/null +++ b/src/3rdparty/eigen/Eigen/src/Core/arch/AltiVec/PacketMath.h @@ -0,0 +1,2711 @@ +// 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_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<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, masked_store_available=false}; +}; +template<> struct unpacket_traits<Packet4i> +{ + 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<Packet8s> +{ + 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<Packet8us> +{ + 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<Packet16c> +{ + 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<Packet16uc> +{ + 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<Packet8bf> +{ + 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 <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& 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>(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 Packet8us& from) +{ + pstore_common<Packet8us>(to, from); +} + +template<> EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet8bf& from) +{ + pstore_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from); +} + +template<> EIGEN_STRONG_INLINE void pstore<signed char>(signed char* to, const Packet16c& from) +{ + pstore_common<Packet16c>(to, from); +} + +template<> EIGEN_STRONG_INLINE void pstore<unsigned char>(unsigned char* to, const Packet16uc& from) +{ + 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, from, from}; + 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& from) { + 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_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<Packet>(a); +} + +template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Index stride) +{ + return pgather_common<Packet4f>(from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index stride) +{ + return pgather_common<Packet4i>(from, stride); +} + +template<typename Packet> 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<Packet>(a); +} + +template<> EIGEN_DEVICE_FUNC inline Packet8s pgather<short int, Packet8s>(const short int* from, Index stride) +{ + return pgather_size8<Packet8s>(from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline Packet8us pgather<unsigned short int, Packet8us>(const unsigned short int* from, Index stride) +{ + return pgather_size8<Packet8us>(from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline Packet8bf pgather<bfloat16, Packet8bf>(const bfloat16* from, Index stride) +{ + return pgather_size8<Packet8bf>(from, stride); +} + +template<typename Packet> 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<Packet>(a); +} + + +template<> EIGEN_DEVICE_FUNC inline Packet16c pgather<signed char, Packet16c>(const signed char* from, Index stride) +{ + return pgather_size16<Packet16c>(from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline Packet16uc pgather<unsigned char, Packet16uc>(const unsigned char* from, Index stride) +{ + return pgather_size16<Packet16uc>(from, stride); +} + +template<typename Packet> 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, Packet4f>(float* to, const Packet4f& from, Index stride) +{ + pscatter_size4<Packet4f>(to, from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& from, Index stride) +{ + pscatter_size4<Packet4i>(to, from, stride); +} + +template<typename Packet> 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, Packet8s>(short int* to, const Packet8s& from, Index stride) +{ + pscatter_size8<Packet8s>(to, from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned short int, Packet8us>(unsigned short int* to, const Packet8us& from, Index stride) +{ + pscatter_size8<Packet8us>(to, from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline void pscatter<bfloat16, Packet8bf>(bfloat16* to, const Packet8bf& from, Index stride) +{ + pscatter_size8<Packet8bf>(to, from, stride); +} + +template<typename Packet> 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, Packet16c>(signed char* to, const Packet16c& from, Index stride) +{ + pscatter_size16<Packet16c>(to, from, stride); +} + +template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned char, Packet16uc>(unsigned char* to, const Packet16uc& from, Index stride) +{ + pscatter_size16<Packet16uc>(to, from, stride); +} + +template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>(const float& a) { return pset1<Packet4f>(a) + p4f_COUNTDOWN; } +template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int& a) { return pset1<Packet4i>(a) + p4i_COUNTDOWN; } +template<> EIGEN_STRONG_INLINE Packet8s plset<Packet8s>(const short int& a) { return pset1<Packet8s>(a) + p8s_COUNTDOWN; } +template<> EIGEN_STRONG_INLINE Packet8us plset<Packet8us>(const unsigned short int& a) { return pset1<Packet8us>(a) + p8us_COUNTDOWN; } +template<> EIGEN_STRONG_INLINE Packet16c plset<Packet16c>(const signed char& a) { return pset1<Packet16c>(a) + p16c_COUNTDOWN; } +template<> EIGEN_STRONG_INLINE Packet16uc plset<Packet16uc>(const unsigned char& a) { return pset1<Packet16uc>(a) + p16uc_COUNTDOWN; } + +template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f> (const Packet4f& a, const Packet4f& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i> (const Packet4i& a, const Packet4i& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet4ui padd<Packet4ui> (const Packet4ui& a, const Packet4ui& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet8s padd<Packet8s> (const Packet8s& a, const Packet8s& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet8us padd<Packet8us> (const Packet8us& a, const Packet8us& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet16c padd<Packet16c> (const Packet16c& a, const Packet16c& b) { return a + b; } +template<> EIGEN_STRONG_INLINE Packet16uc padd<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return a + b; } + +template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f> (const Packet4f& a, const Packet4f& b) { return a - b; } +template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i> (const Packet4i& a, const Packet4i& b) { return a - b; } +template<> EIGEN_STRONG_INLINE Packet8s psub<Packet8s> (const Packet8s& a, const Packet8s& b) { return a - b; } +template<> EIGEN_STRONG_INLINE Packet8us psub<Packet8us> (const Packet8us& a, const Packet8us& b) { return a - b; } +template<> EIGEN_STRONG_INLINE Packet16c psub<Packet16c> (const Packet16c& a, const Packet16c& b) { return a - b; } +template<> EIGEN_STRONG_INLINE Packet16uc psub<Packet16uc>(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<Packet4f> (const Packet4f& a, const Packet4f& b) { return vec_madd(a,b, p4f_MZERO); } +template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i> (const Packet4i& a, const Packet4i& b) { return a * b; } +template<> EIGEN_STRONG_INLINE Packet8s pmul<Packet8s> (const Packet8s& a, const Packet8s& b) { return vec_mul(a,b); } +template<> EIGEN_STRONG_INLINE Packet8us pmul<Packet8us> (const Packet8us& a, const Packet8us& b) { return vec_mul(a,b); } +template<> EIGEN_STRONG_INLINE Packet16c pmul<Packet16c> (const Packet16c& a, const Packet16c& b) { return vec_mul(a,b); } +template<> EIGEN_STRONG_INLINE Packet16uc pmul<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vec_mul(a,b); } + + +template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(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<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/) +{ 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, 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<Packet4f>(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<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); } +template<> EIGEN_STRONG_INLINE Packet8s pmin<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_min(a, b); } +template<> EIGEN_STRONG_INLINE Packet8us pmin<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_min(a, b); } +template<> EIGEN_STRONG_INLINE Packet16c pmin<Packet16c>(const Packet16c& a, const Packet16c& b) { return vec_min(a, b); } +template<> EIGEN_STRONG_INLINE Packet16uc pmin<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vec_min(a, b); } + + +template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(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<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); } +template<> EIGEN_STRONG_INLINE Packet8s pmax<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_max(a, b); } +template<> EIGEN_STRONG_INLINE Packet8us pmax<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_max(a, b); } +template<> EIGEN_STRONG_INLINE Packet16c pmax<Packet16c>(const Packet16c& a, const Packet16c& b) { return vec_max(a, b); } +template<> EIGEN_STRONG_INLINE Packet16uc pmax<Packet16uc>(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<Packet4f>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt(const Packet4f& a, const Packet4f& b) { return reinterpret_cast<Packet4f>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet4f pcmp_eq(const Packet4f& a, const Packet4f& b) { return reinterpret_cast<Packet4f>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f& a, const Packet4f& b) { + 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& b) { return reinterpret_cast<Packet4i>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet4i pcmp_lt(const Packet4i& a, const Packet4i& b) { return reinterpret_cast<Packet4i>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq(const Packet4i& a, const Packet4i& b) { return reinterpret_cast<Packet4i>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8s pcmp_le(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8s pcmp_lt(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8s pcmp_eq(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8us pcmp_le(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8us pcmp_lt(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet8us pcmp_eq(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16c pcmp_le(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16c pcmp_lt(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16c pcmp_eq(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16uc pcmp_le(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16uc pcmp_lt(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet16uc pcmp_eq(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmpeq(a,b)); } + +template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_and(a, b); } +template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); } +template<> EIGEN_STRONG_INLINE Packet4ui pand<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vec_and(a, b); } +template<> EIGEN_STRONG_INLINE Packet8us pand<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_and(a, b); } +template<> EIGEN_STRONG_INLINE Packet8bf pand<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return pand<Packet8us>(a, b); +} + + +template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_or(a, b); } +template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); } +template<> EIGEN_STRONG_INLINE Packet8s por<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_or(a, b); } +template<> EIGEN_STRONG_INLINE Packet8us por<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_or(a, b); } +template<> EIGEN_STRONG_INLINE Packet8bf por<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return por<Packet8us>(a, b); +} + +template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_xor(a, b); } +template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); } +template<> EIGEN_STRONG_INLINE Packet8bf pxor<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + return pxor<Packet8us>(a, b); +} + +template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_andc(a, b); } +template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(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<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<Packet4ui>(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<Packet4f>(const Packet4f& a) { return vec_ceil(a); } +template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a) { return vec_floor(a); } +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__(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<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_TYPE__(Packet)* from) +{ + 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* 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_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__(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>(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& from) +{ + pstoreu_common<Packet8s>(to, from); +} +template<> EIGEN_STRONG_INLINE void pstoreu<unsigned short int>(unsigned short int* to, const Packet8us& from) +{ + pstoreu_common<Packet8us>(to, from); +} +template<> EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet8bf& from) +{ + pstoreu_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from); +} +template<> EIGEN_STRONG_INLINE void pstoreu<signed char>(signed char* to, const Packet16c& from) +{ + pstoreu_common<Packet16c>(to, from); +} +template<> EIGEN_STRONG_INLINE void pstoreu<unsigned char>(unsigned char* to, const Packet16uc& from) +{ + pstoreu_common<Packet16uc>(to, from); +} + +template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { EIGEN_PPC_PREFETCH(addr); } +template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { EIGEN_PPC_PREFETCH(addr); } + +template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { EIGEN_ALIGN16 float x; vec_ste(a, 0, &x); return x; } +template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { EIGEN_ALIGN16 int x; vec_ste(a, 0, &x); return x; } + +template<typename Packet> 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<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), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32)); +} +template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a) +{ + return reinterpret_cast<Packet4i>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32)); +} +template<> EIGEN_STRONG_INLINE Packet8s preverse(const Packet8s& a) +{ + return reinterpret_cast<Packet8s>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE16)); +} +template<> EIGEN_STRONG_INLINE Packet8us preverse(const Packet8us& a) +{ + return reinterpret_cast<Packet8us>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(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<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& a) +{ 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& a) +{ + 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& 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<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 Packet8bf& b) { + BF16_TO_F32_BINARY_OP_WRAPPER(padd<Packet4f>, a, b); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pmul<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + BF16_TO_F32_BINARY_OP_WRAPPER(pmul<Packet4f>, a, b); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pdiv<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + 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 Packet8bf& b) { + 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 Packet4f& exponent) { + return pldexp_generic(a,exponent); +} +template<> EIGEN_STRONG_INLINE Packet8bf pldexp<Packet8bf> (const Packet8bf& a, const Packet8bf& exponent){ + BF16_TO_F32_BINARY_OP_WRAPPER(pldexp<Packet4f>, a, exponent); +} + +template<> EIGEN_STRONG_INLINE Packet4f pfrexp<Packet4f>(const Packet4f& a, Packet4f& exponent) { + return pfrexp_generic(a,exponent); +} +template<> EIGEN_STRONG_INLINE Packet8bf pfrexp<Packet8bf> (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<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& 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<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 Packet8bf& b) { + BF16_TO_F32_BINARY_OP_WRAPPER(pmin<Packet4f>, a, b); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pmax<Packet8bf>(const Packet8bf& a, const Packet8bf& b) { + BF16_TO_F32_BINARY_OP_WRAPPER(pmax<Packet4f>, a, b); +} + +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt(const Packet8bf& a, const Packet8bf& b) { + 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 Packet8bf& b) { + 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& b) { + BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_le<Packet4f>, a, b); +} +template<> EIGEN_STRONG_INLINE Packet8bf pcmp_eq(const Packet8bf& a, const Packet8bf& b) { + 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(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<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(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<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_quarter) + + 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& 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<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& 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<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& 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<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& 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<typename Packet> 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<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& 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<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& 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 <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& elsePacket) { + Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] }; + Packet4ui mask = reinterpret_cast<Packet4ui>(vec_cmpeq(reinterpret_cast<Packet4ui>(select), reinterpret_cast<Packet4ui>(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<Packet4i>(ifPacket, thenPacket, elsePacket); +} + +template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) { + return pblend4<Packet4f>(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<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 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<Packet8us>(vec_cmpeq(reinterpret_cast<Packet8us>(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<Packet8us>(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<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(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<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(select), p16uc_ONE)); + 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& a) { + 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& a) { + //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& a) { + return reinterpret_cast<Packet4i>(a); +} + +template<> EIGEN_STRONG_INLINE Packet4f preinterpret<Packet4f,Packet4i>(const Packet4i& a) { + 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<Packet4f>(p2d_ZERO), reinterpret_cast<Packet4f>(p2d_ONE), 8)); +#else +static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4f>(p2d_ONE), reinterpret_cast<Packet4f>(p2d_ZERO), 8)); +#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=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<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, Index stride) +{ + 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 Packet2d& from, Index stride) +{ + 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<Packet2d>(a) + p2d_COUNTDOWN; } + +template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return a + b; } + +template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(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<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_madd(a,b,p2d_MZERO); } +template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(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<Packet2d>(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<Packet2d>(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<Packet2d>(vec_cmple(a,b)); } +template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt(const Packet2d& a, const Packet2d& b) { return reinterpret_cast<Packet2d>(vec_cmplt(a,b)); } +template<> EIGEN_STRONG_INLINE Packet2d pcmp_eq(const Packet2d& a, const Packet2d& b) { return reinterpret_cast<Packet2d>(vec_cmpeq(a,b)); } +template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt_or_nan(const Packet2d& a, const Packet2d& b) { + 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 Packet2d& b) { return vec_and(a, b); } + +template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); } + +template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); } + +template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, vec_nor(b, b)); } + +template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a) +{ + Packet2d t = vec_add(reinterpret_cast<Packet2d>(vec_or(vec_and(reinterpret_cast<Packet2ul>(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<Packet2d>(const Packet2d& a) { return vec_ceil(a); } +template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec_floor(a); } +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_PREFETCH(addr); } + +template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { EIGEN_ALIGN16 double x[2]; pstore<double>(x, a); return x[0]; } + +template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a) +{ + return reinterpret_cast<Packet2d>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(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<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 Packet2d& exponent) { + // 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)), 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>(pabs(a)))); +} + +template<> EIGEN_STRONG_INLINE Packet2d pfrexp<Packet2d> (const Packet2d& a, Packet2d& exponent) { + 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<Packet4f>(a), 8)); + 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), reinterpret_cast<Packet4ui>(a), 8)))); +} + +// 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), reinterpret_cast<Packet4ui>(a), 8)))); +} + +// 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), reinterpret_cast<Packet4ui>(a), 8)))); +} + +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 Packet2d& thenPacket, const Packet2d& elsePacket) { + Packet2l select = { ifPacket.select[0], ifPacket.select[1] }; + Packet2bl mask = reinterpret_cast<Packet2bl>( vec_cmpeq(reinterpret_cast<Packet2d>(select), reinterpret_cast<Packet2d>(p2l_ONE)) ); + return vec_sel(elsePacket, thenPacket, mask); +} + + +#endif // __VSX__ +} // end namespace internal + +} // end namespace Eigen + +#endif // EIGEN_PACKET_MATH_ALTIVEC_H |