cart-elc

Source code for CART-ELC
git clone git://git.laack.co/cart-elc.git
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PacketMath.h (36894B)


      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2016 Konstantinos Margaritis <markos@freevec.org>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_PACKET_MATH_ZVECTOR_H
     11 #define EIGEN_PACKET_MATH_ZVECTOR_H
     12 
     13 namespace Eigen {
     14 
     15 namespace internal {
     16 
     17 #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
     18 #define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 16
     19 #endif
     20 
     21 #ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
     22 #define EIGEN_HAS_SINGLE_INSTRUCTION_MADD
     23 #endif
     24 
     25 #ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
     26 #define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS  32
     27 #endif
     28 
     29 typedef __vector int                 Packet4i;
     30 typedef __vector unsigned int        Packet4ui;
     31 typedef __vector __bool int          Packet4bi;
     32 typedef __vector short int           Packet8i;
     33 typedef __vector unsigned char       Packet16uc;
     34 typedef __vector double              Packet2d;
     35 typedef __vector unsigned long long  Packet2ul;
     36 typedef __vector long long           Packet2l;
     37 
     38 // Z14 has builtin support for float vectors
     39 #if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
     40 typedef __vector float               Packet4f;
     41 #else
     42 typedef struct {
     43 	Packet2d  v4f[2];
     44 } Packet4f;
     45 #endif
     46 
     47 typedef union {
     48   numext::int32_t   i[4];
     49   numext::uint32_t ui[4];
     50   numext::int64_t   l[2];
     51   numext::uint64_t ul[2];
     52   double    d[2];
     53   float     f[4];
     54   Packet4i  v4i;
     55   Packet4ui v4ui;
     56   Packet2l  v2l;
     57   Packet2ul v2ul;
     58   Packet2d  v2d;
     59 #if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
     60   Packet4f  v4f;
     61 #endif
     62 } Packet;
     63 
     64 // We don't want to write the same code all the time, but we need to reuse the constants
     65 // and it doesn't really work to declare them global, so we define macros instead
     66 
     67 #define _EIGEN_DECLARE_CONST_FAST_Packet4i(NAME,X) \
     68   Packet4i p4i_##NAME = reinterpret_cast<Packet4i>(vec_splat_s32(X))
     69 
     70 #define _EIGEN_DECLARE_CONST_FAST_Packet2d(NAME,X) \
     71   Packet2d p2d_##NAME = reinterpret_cast<Packet2d>(vec_splat_s64(X))
     72 
     73 #define _EIGEN_DECLARE_CONST_FAST_Packet2l(NAME,X) \
     74   Packet2l p2l_##NAME = reinterpret_cast<Packet2l>(vec_splat_s64(X))
     75 
     76 #define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \
     77   Packet4i p4i_##NAME = pset1<Packet4i>(X)
     78 
     79 #define _EIGEN_DECLARE_CONST_Packet2d(NAME,X) \
     80   Packet2d p2d_##NAME = pset1<Packet2d>(X)
     81 
     82 #define _EIGEN_DECLARE_CONST_Packet2l(NAME,X) \
     83   Packet2l p2l_##NAME = pset1<Packet2l>(X)
     84 
     85 // These constants are endian-agnostic
     86 static _EIGEN_DECLARE_CONST_FAST_Packet4i(ZERO, 0); //{ 0, 0, 0, 0,}
     87 static _EIGEN_DECLARE_CONST_FAST_Packet4i(ONE, 1); //{ 1, 1, 1, 1}
     88 
     89 static _EIGEN_DECLARE_CONST_FAST_Packet2d(ZERO, 0);
     90 static _EIGEN_DECLARE_CONST_FAST_Packet2l(ZERO, 0);
     91 static _EIGEN_DECLARE_CONST_FAST_Packet2l(ONE, 1);
     92 
     93 static Packet2d p2d_ONE = { 1.0, 1.0 };
     94 static Packet2d p2d_ZERO_ = { numext::bit_cast<double>0x8000000000000000ull),
     95                               numext::bit_cast<double>0x8000000000000000ull) };
     96 
     97 #if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
     98 #define _EIGEN_DECLARE_CONST_FAST_Packet4f(NAME,X) \
     99   Packet4f p4f_##NAME = reinterpret_cast<Packet4f>(vec_splat_s32(X))
    100 
    101 #define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \
    102   Packet4f p4f_##NAME = pset1<Packet4f>(X)
    103 
    104 #define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \
    105   const Packet4f p4f_##NAME = reinterpret_cast<Packet4f>(pset1<Packet4i>(X))
    106 
    107 static _EIGEN_DECLARE_CONST_FAST_Packet4f(ZERO, 0); //{ 0.0, 0.0, 0.0, 0.0}
    108 static _EIGEN_DECLARE_CONST_FAST_Packet4i(MINUS1,-1); //{ -1, -1, -1, -1}
    109 static Packet4f p4f_MZERO = { 0x80000000, 0x80000000, 0x80000000, 0x80000000};
    110 #endif
    111 
    112 static Packet4i p4i_COUNTDOWN = { 0, 1, 2, 3 };
    113 static Packet4f p4f_COUNTDOWN = { 0.0, 1.0, 2.0, 3.0 };
    114 static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet16uc>(p2d_ZERO), reinterpret_cast<Packet16uc>(p2d_ONE), 8));
    115 
    116 static Packet16uc p16uc_PSET64_HI = { 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 };
    117 static Packet16uc p16uc_DUPLICATE32_HI = { 0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7 };
    118 
    119 // Mask alignment
    120 #define _EIGEN_MASK_ALIGNMENT	0xfffffffffffffff0
    121 
    122 #define _EIGEN_ALIGNED_PTR(x)	((std::ptrdiff_t)(x) & _EIGEN_MASK_ALIGNMENT)
    123 
    124 // Handle endianness properly while loading constants
    125 // Define global static constants:
    126 
    127 static Packet16uc p16uc_FORWARD =   { 0,1,2,3, 4,5,6,7, 8,9,10,11, 12,13,14,15 };
    128 static Packet16uc p16uc_REVERSE32 = { 12,13,14,15, 8,9,10,11, 4,5,6,7, 0,1,2,3 };
    129 static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
    130 
    131 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 };
    132 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 };
    133 /*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};
    134 
    135 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 };*/
    136 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 };
    137 /*static Packet16uc p16uc_TRANSPOSE64_HI = vec_add(p16uc_PSET64_HI, p16uc_HALF64_0_16);                                         //{ 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
    138 static Packet16uc p16uc_TRANSPOSE64_LO = vec_add(p16uc_PSET64_LO, p16uc_HALF64_0_16);                                         //{ 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31};*/
    139 static Packet16uc p16uc_TRANSPOSE64_HI = { 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
    140 static Packet16uc p16uc_TRANSPOSE64_LO = { 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31};
    141 
    142 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 };
    143 
    144 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 };
    145 
    146 
    147 #if EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC
    148   #define EIGEN_ZVECTOR_PREFETCH(ADDR) __builtin_prefetch(ADDR);
    149 #else
    150   #define EIGEN_ZVECTOR_PREFETCH(ADDR) asm( "   pfd [%[addr]]\n" :: [addr] "r" (ADDR) : "cc" );
    151 #endif
    152 
    153 template<> struct packet_traits<int>    : default_packet_traits
    154 {
    155   typedef Packet4i type;
    156   typedef Packet4i half;
    157   enum {
    158     Vectorizable = 1,
    159     AlignedOnScalar = 1,
    160     size = 4,
    161     HasHalfPacket = 0,
    162 
    163     HasAdd  = 1,
    164     HasSub  = 1,
    165     HasMul  = 1,
    166     HasDiv  = 1,
    167     HasBlend = 1
    168   };
    169 };
    170 
    171 template <>
    172 struct packet_traits<float> : default_packet_traits {
    173   typedef Packet4f type;
    174   typedef Packet4f half;
    175   enum {
    176     Vectorizable = 1,
    177     AlignedOnScalar = 1,
    178     size = 4,
    179     HasHalfPacket = 0,
    180 
    181     HasAdd = 1,
    182     HasSub = 1,
    183     HasMul = 1,
    184     HasDiv = 1,
    185     HasMin = 1,
    186     HasMax = 1,
    187     HasAbs = 1,
    188     HasSin = 0,
    189     HasCos = 0,
    190     HasLog = 0,
    191     HasExp = 1,
    192     HasSqrt = 1,
    193     HasRsqrt = 1,
    194     HasTanh = 1,
    195     HasErf = 1,
    196     HasRound = 1,
    197     HasFloor = 1,
    198     HasCeil = 1,
    199     HasNegate = 1,
    200     HasBlend = 1
    201   };
    202 };
    203 
    204 template<> struct packet_traits<double> : default_packet_traits
    205 {
    206   typedef Packet2d type;
    207   typedef Packet2d half;
    208   enum {
    209     Vectorizable = 1,
    210     AlignedOnScalar = 1,
    211     size=2,
    212     HasHalfPacket = 1,
    213 
    214     HasAdd  = 1,
    215     HasSub  = 1,
    216     HasMul  = 1,
    217     HasDiv  = 1,
    218     HasMin  = 1,
    219     HasMax  = 1,
    220     HasAbs  = 1,
    221     HasSin  = 0,
    222     HasCos  = 0,
    223     HasLog  = 0,
    224     HasExp  = 1,
    225     HasSqrt = 1,
    226     HasRsqrt = 1,
    227     HasRound = 1,
    228     HasFloor = 1,
    229     HasCeil = 1,
    230     HasNegate = 1,
    231     HasBlend = 1
    232   };
    233 };
    234 
    235 template<> struct unpacket_traits<Packet4i> { typedef int    type; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet4i half; };
    236 template<> struct unpacket_traits<Packet4f> { typedef float  type; enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet4f half; };
    237 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; };
    238 
    239 /* Forward declaration */
    240 EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet4f,4>& kernel);
    241  
    242 inline std::ostream & operator <<(std::ostream & s, const Packet4i & v)
    243 {
    244   Packet vt;
    245   vt.v4i = v;
    246   s << vt.i[0] << ", " << vt.i[1] << ", " << vt.i[2] << ", " << vt.i[3];
    247   return s;
    248 }
    249 
    250 inline std::ostream & operator <<(std::ostream & s, const Packet4ui & v)
    251 {
    252   Packet vt;
    253   vt.v4ui = v;
    254   s << vt.ui[0] << ", " << vt.ui[1] << ", " << vt.ui[2] << ", " << vt.ui[3];
    255   return s;
    256 }
    257 
    258 inline std::ostream & operator <<(std::ostream & s, const Packet2l & v)
    259 {
    260   Packet vt;
    261   vt.v2l = v;
    262   s << vt.l[0] << ", " << vt.l[1];
    263   return s;
    264 }
    265 
    266 inline std::ostream & operator <<(std::ostream & s, const Packet2ul & v)
    267 {
    268   Packet vt;
    269   vt.v2ul = v;
    270   s << vt.ul[0] << ", " << vt.ul[1] ;
    271   return s;
    272 }
    273 
    274 inline std::ostream & operator <<(std::ostream & s, const Packet2d & v)
    275 {
    276   Packet vt;
    277   vt.v2d = v;
    278   s << vt.d[0] << ", " << vt.d[1];
    279   return s;
    280 }
    281 
    282 #if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
    283 inline std::ostream & operator <<(std::ostream & s, const Packet4f & v)
    284 {
    285   Packet vt;
    286   vt.v4f = v;
    287   s << vt.f[0] << ", " << vt.f[1] << ", " << vt.f[2] << ", " << vt.f[3];
    288   return s;
    289 }
    290 #endif
    291 
    292 template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int*     from)
    293 {
    294   // FIXME: No intrinsic yet
    295   EIGEN_DEBUG_ALIGNED_LOAD
    296   Packet *vfrom;
    297   vfrom = (Packet *) from;
    298   return vfrom->v4i;
    299 }
    300 
    301 template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from)
    302 {
    303   // FIXME: No intrinsic yet
    304   EIGEN_DEBUG_ALIGNED_LOAD
    305   Packet *vfrom;
    306   vfrom = (Packet *) from;
    307   return vfrom->v2d;
    308 }
    309 
    310 template<> EIGEN_STRONG_INLINE void pstore<int>(int*       to, const Packet4i& from)
    311 {
    312   // FIXME: No intrinsic yet
    313   EIGEN_DEBUG_ALIGNED_STORE
    314   Packet *vto;
    315   vto = (Packet *) to;
    316   vto->v4i = from;
    317 }
    318 
    319 template<> EIGEN_STRONG_INLINE void pstore<double>(double*   to, const Packet2d& from)
    320 {
    321   // FIXME: No intrinsic yet
    322   EIGEN_DEBUG_ALIGNED_STORE
    323   Packet *vto;
    324   vto = (Packet *) to;
    325   vto->v2d = from;
    326 }
    327 
    328 template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int&    from)
    329 {
    330   return vec_splats(from);
    331 }
    332 template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) {
    333   return vec_splats(from);
    334 }
    335 
    336 template<> EIGEN_STRONG_INLINE void
    337 pbroadcast4<Packet4i>(const int *a,
    338                       Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3)
    339 {
    340   a3 = pload<Packet4i>(a);
    341   a0 = vec_splat(a3, 0);
    342   a1 = vec_splat(a3, 1);
    343   a2 = vec_splat(a3, 2);
    344   a3 = vec_splat(a3, 3);
    345 }
    346 
    347 template<> EIGEN_STRONG_INLINE void
    348 pbroadcast4<Packet2d>(const double *a,
    349                       Packet2d& a0, Packet2d& a1, Packet2d& a2, Packet2d& a3)
    350 {
    351   a1 = pload<Packet2d>(a);
    352   a0 = vec_splat(a1, 0);
    353   a1 = vec_splat(a1, 1);
    354   a3 = pload<Packet2d>(a+2);
    355   a2 = vec_splat(a3, 0);
    356   a3 = vec_splat(a3, 1);
    357 }
    358 
    359 template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index stride)
    360 {
    361   int EIGEN_ALIGN16 ai[4];
    362   ai[0] = from[0*stride];
    363   ai[1] = from[1*stride];
    364   ai[2] = from[2*stride];
    365   ai[3] = from[3*stride];
    366  return pload<Packet4i>(ai);
    367 }
    368 
    369 template<> EIGEN_DEVICE_FUNC inline Packet2d pgather<double, Packet2d>(const double* from, Index stride)
    370 {
    371   double EIGEN_ALIGN16 af[2];
    372   af[0] = from[0*stride];
    373   af[1] = from[1*stride];
    374  return pload<Packet2d>(af);
    375 }
    376 
    377 template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& from, Index stride)
    378 {
    379   int EIGEN_ALIGN16 ai[4];
    380   pstore<int>((int *)ai, from);
    381   to[0*stride] = ai[0];
    382   to[1*stride] = ai[1];
    383   to[2*stride] = ai[2];
    384   to[3*stride] = ai[3];
    385 }
    386 
    387 template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet2d>(double* to, const Packet2d& from, Index stride)
    388 {
    389   double EIGEN_ALIGN16 af[2];
    390   pstore<double>(af, from);
    391   to[0*stride] = af[0];
    392   to[1*stride] = af[1];
    393 }
    394 
    395 template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a + b); }
    396 template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a + b); }
    397 
    398 template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a - b); }
    399 template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a - b); }
    400 
    401 template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a * b); }
    402 template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a * b); }
    403 
    404 template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a / b); }
    405 template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a / b); }
    406 
    407 template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return (-a); }
    408 template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) { return (-a); }
    409 
    410 template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; }
    411 template<> EIGEN_STRONG_INLINE Packet2d pconj(const Packet2d& a) { return a; }
    412 
    413 template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return padd<Packet4i>(pmul<Packet4i>(a, b), c); }
    414 template<> EIGEN_STRONG_INLINE Packet2d pmadd(const Packet2d& a, const Packet2d& b, const Packet2d& c) { return vec_madd(a, b, c); }
    415 
    416 template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int& a)    { return padd<Packet4i>(pset1<Packet4i>(a), p4i_COUNTDOWN); }
    417 template<> EIGEN_STRONG_INLINE Packet2d plset<Packet2d>(const double& a) { return padd<Packet2d>(pset1<Packet2d>(a), p2d_COUNTDOWN); }
    418 
    419 template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); }
    420 template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_min(a, b); }
    421 
    422 template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); }
    423 template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_max(a, b); }
    424 
    425 template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); }
    426 template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, b); }
    427 
    428 template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); }
    429 template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); }
    430 
    431 template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); }
    432 template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); }
    433 
    434 template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return pand<Packet4i>(a, vec_nor(b, b)); }
    435 template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, vec_nor(b, b)); }
    436 
    437 template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a) { return vec_round(a); }
    438 template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const  Packet2d& a) { return vec_ceil(a); }
    439 template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec_floor(a); }
    440 
    441 template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int*       from) { return pload<Packet4i>(from); }
    442 template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double*    from) { return pload<Packet2d>(from); }
    443 
    444 
    445 template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int*     from)
    446 {
    447   Packet4i p = pload<Packet4i>(from);
    448   return vec_perm(p, p, p16uc_DUPLICATE32_HI);
    449 }
    450 
    451 template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double*   from)
    452 {
    453   Packet2d p = pload<Packet2d>(from);
    454   return vec_perm(p, p, p16uc_PSET64_HI);
    455 }
    456 
    457 template<> EIGEN_STRONG_INLINE void pstoreu<int>(int*        to, const Packet4i& from) { pstore<int>(to, from); }
    458 template<> EIGEN_STRONG_INLINE void pstoreu<double>(double*  to, const Packet2d& from) { pstore<double>(to, from); }
    459 
    460 template<> EIGEN_STRONG_INLINE void prefetch<int>(const int*       addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
    461 template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
    462 
    463 template<> EIGEN_STRONG_INLINE int    pfirst<Packet4i>(const Packet4i& a) { int    EIGEN_ALIGN16 x[4]; pstore(x, a); return x[0]; }
    464 template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { double EIGEN_ALIGN16 x[2]; pstore(x, a); return x[0]; }
    465 
    466 template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a)
    467 {
    468   return reinterpret_cast<Packet4i>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32));
    469 }
    470 
    471 template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a)
    472 {
    473   return reinterpret_cast<Packet2d>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE64));
    474 }
    475 
    476 template<> EIGEN_STRONG_INLINE Packet4i pabs<Packet4i>(const Packet4i& a) { return vec_abs(a); }
    477 template<> EIGEN_STRONG_INLINE Packet2d pabs<Packet2d>(const Packet2d& a) { return vec_abs(a); }
    478 
    479 template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a)
    480 {
    481   Packet4i b, sum;
    482   b   = vec_sld(a, a, 8);
    483   sum = padd<Packet4i>(a, b);
    484   b   = vec_sld(sum, sum, 4);
    485   sum = padd<Packet4i>(sum, b);
    486   return pfirst(sum);
    487 }
    488 
    489 template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a)
    490 {
    491   Packet2d b, sum;
    492   b   = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8));
    493   sum = padd<Packet2d>(a, b);
    494   return pfirst(sum);
    495 }
    496 
    497 // Other reduction functions:
    498 // mul
    499 template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a)
    500 {
    501   EIGEN_ALIGN16 int aux[4];
    502   pstore(aux, a);
    503   return aux[0] * aux[1] * aux[2] * aux[3];
    504 }
    505 
    506 template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a)
    507 {
    508   return pfirst(pmul(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
    509 }
    510 
    511 // min
    512 template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a)
    513 {
    514   Packet4i b, res;
    515   b   = pmin<Packet4i>(a, vec_sld(a, a, 8));
    516   res = pmin<Packet4i>(b, vec_sld(b, b, 4));
    517   return pfirst(res);
    518 }
    519 
    520 template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a)
    521 {
    522   return pfirst(pmin<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
    523 }
    524 
    525 // max
    526 template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
    527 {
    528   Packet4i b, res;
    529   b = pmax<Packet4i>(a, vec_sld(a, a, 8));
    530   res = pmax<Packet4i>(b, vec_sld(b, b, 4));
    531   return pfirst(res);
    532 }
    533 
    534 // max
    535 template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a)
    536 {
    537   return pfirst(pmax<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
    538 }
    539 
    540 EIGEN_DEVICE_FUNC inline void
    541 ptranspose(PacketBlock<Packet4i,4>& kernel) {
    542   Packet4i t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
    543   Packet4i t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
    544   Packet4i t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
    545   Packet4i t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
    546   kernel.packet[0] = vec_mergeh(t0, t2);
    547   kernel.packet[1] = vec_mergel(t0, t2);
    548   kernel.packet[2] = vec_mergeh(t1, t3);
    549   kernel.packet[3] = vec_mergel(t1, t3);
    550 }
    551 
    552 EIGEN_DEVICE_FUNC inline void
    553 ptranspose(PacketBlock<Packet2d,2>& kernel) {
    554   Packet2d t0 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_HI);
    555   Packet2d t1 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_LO);
    556   kernel.packet[0] = t0;
    557   kernel.packet[1] = t1;
    558 }
    559 
    560 template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packet4i& thenPacket, const Packet4i& elsePacket) {
    561   Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] };
    562   Packet4ui mask = vec_cmpeq(select, reinterpret_cast<Packet4ui>(p4i_ONE));
    563   return vec_sel(elsePacket, thenPacket, mask);
    564 }
    565 
    566 
    567 template<> EIGEN_STRONG_INLINE Packet2d pblend(const Selector<2>& ifPacket, const Packet2d& thenPacket, const Packet2d& elsePacket) {
    568   Packet2ul select = { ifPacket.select[0], ifPacket.select[1] };
    569   Packet2ul mask = vec_cmpeq(select, reinterpret_cast<Packet2ul>(p2l_ONE));
    570   return vec_sel(elsePacket, thenPacket, mask);
    571 }
    572 
    573 /* z13 has no vector float support so we emulate that with double
    574    z14 has proper vector float support.
    575 */
    576 #if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ < 12)
    577 /* Helper function to simulate a vec_splat_packet4f
    578  */
    579 template<int element> EIGEN_STRONG_INLINE Packet4f vec_splat_packet4f(const Packet4f&   from)
    580 {
    581   Packet4f splat;
    582   switch (element) {
    583   case 0:
    584     splat.v4f[0] = vec_splat(from.v4f[0], 0);
    585     splat.v4f[1] = splat.v4f[0];
    586     break;
    587   case 1:
    588     splat.v4f[0] = vec_splat(from.v4f[0], 1);
    589     splat.v4f[1] = splat.v4f[0];
    590     break;
    591   case 2:
    592     splat.v4f[0] = vec_splat(from.v4f[1], 0);
    593     splat.v4f[1] = splat.v4f[0];
    594     break;
    595   case 3:
    596     splat.v4f[0] = vec_splat(from.v4f[1], 1);
    597     splat.v4f[1] = splat.v4f[0];
    598     break;
    599   }
    600   return splat;
    601 }
    602 
    603 template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float*   from)
    604 {
    605   // FIXME: No intrinsic yet
    606   EIGEN_DEBUG_ALIGNED_LOAD
    607   Packet4f vfrom;
    608   vfrom.v4f[0] = vec_ld2f(&from[0]);
    609   vfrom.v4f[1] = vec_ld2f(&from[2]);
    610   return vfrom;
    611 }
    612 
    613 template<> EIGEN_STRONG_INLINE void pstore<float>(float*   to, const Packet4f& from)
    614 {
    615   // FIXME: No intrinsic yet
    616   EIGEN_DEBUG_ALIGNED_STORE
    617   vec_st2f(from.v4f[0], &to[0]);
    618   vec_st2f(from.v4f[1], &to[2]);
    619 }
    620 
    621 template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float&    from)
    622 {
    623   Packet4f to;
    624   to.v4f[0] = pset1<Packet2d>(static_cast<const double&>(from));
    625   to.v4f[1] = to.v4f[0];
    626   return to;
    627 }
    628 
    629 template<> EIGEN_STRONG_INLINE void
    630 pbroadcast4<Packet4f>(const float *a,
    631                       Packet4f& a0, Packet4f& a1, Packet4f& a2, Packet4f& a3)
    632 {
    633   a3 = pload<Packet4f>(a);
    634   a0 = vec_splat_packet4f<0>(a3);
    635   a1 = vec_splat_packet4f<1>(a3);
    636   a2 = vec_splat_packet4f<2>(a3);
    637   a3 = vec_splat_packet4f<3>(a3);
    638 }
    639 
    640 template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Index stride)
    641 {
    642   float EIGEN_ALIGN16 ai[4];
    643   ai[0] = from[0*stride];
    644   ai[1] = from[1*stride];
    645   ai[2] = from[2*stride];
    646   ai[3] = from[3*stride];
    647  return pload<Packet4f>(ai);
    648 }
    649 
    650 template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet4f>(float* to, const Packet4f& from, Index stride)
    651 {
    652   float EIGEN_ALIGN16 ai[4];
    653   pstore<float>((float *)ai, from);
    654   to[0*stride] = ai[0];
    655   to[1*stride] = ai[1];
    656   to[2*stride] = ai[2];
    657   to[3*stride] = ai[3];
    658 }
    659 
    660 template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b)
    661 {
    662   Packet4f c;
    663   c.v4f[0] = a.v4f[0] + b.v4f[0];
    664   c.v4f[1] = a.v4f[1] + b.v4f[1];
    665   return c;
    666 }
    667 
    668 template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b)
    669 {
    670   Packet4f c;
    671   c.v4f[0] = a.v4f[0] - b.v4f[0];
    672   c.v4f[1] = a.v4f[1] - b.v4f[1];
    673   return c;
    674 }
    675 
    676 template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b)
    677 {
    678   Packet4f c;
    679   c.v4f[0] = a.v4f[0] * b.v4f[0];
    680   c.v4f[1] = a.v4f[1] * b.v4f[1];
    681   return c;
    682 }
    683 
    684 template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b)
    685 {
    686   Packet4f c;
    687   c.v4f[0] = a.v4f[0] / b.v4f[0];
    688   c.v4f[1] = a.v4f[1] / b.v4f[1];
    689   return c;
    690 }
    691 
    692 template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a)
    693 {
    694   Packet4f c;
    695   c.v4f[0] = -a.v4f[0];
    696   c.v4f[1] = -a.v4f[1];
    697   return c;
    698 }
    699 
    700 template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
    701 {
    702   Packet4f res;
    703   res.v4f[0] = vec_madd(a.v4f[0], b.v4f[0], c.v4f[0]);
    704   res.v4f[1] = vec_madd(a.v4f[1], b.v4f[1], c.v4f[1]);
    705   return res;
    706 }
    707 
    708 template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b)
    709 {
    710   Packet4f res;
    711   res.v4f[0] = pmin(a.v4f[0], b.v4f[0]);
    712   res.v4f[1] = pmin(a.v4f[1], b.v4f[1]);
    713   return res;
    714 }
    715 
    716 template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b)
    717 {
    718   Packet4f res;
    719   res.v4f[0] = pmax(a.v4f[0], b.v4f[0]);
    720   res.v4f[1] = pmax(a.v4f[1], b.v4f[1]);
    721   return res;
    722 }
    723 
    724 template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b)
    725 {
    726   Packet4f res;
    727   res.v4f[0] = pand(a.v4f[0], b.v4f[0]);
    728   res.v4f[1] = pand(a.v4f[1], b.v4f[1]);
    729   return res;
    730 }
    731 
    732 template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b)
    733 {
    734   Packet4f res;
    735   res.v4f[0] = por(a.v4f[0], b.v4f[0]);
    736   res.v4f[1] = por(a.v4f[1], b.v4f[1]);
    737   return res;
    738 }
    739 
    740 template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b)
    741 {
    742   Packet4f res;
    743   res.v4f[0] = pxor(a.v4f[0], b.v4f[0]);
    744   res.v4f[1] = pxor(a.v4f[1], b.v4f[1]);
    745   return res;
    746 }
    747 
    748 template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b)
    749 {
    750   Packet4f res;
    751   res.v4f[0] = pandnot(a.v4f[0], b.v4f[0]);
    752   res.v4f[1] = pandnot(a.v4f[1], b.v4f[1]);
    753   return res;
    754 }
    755 
    756 template<> EIGEN_STRONG_INLINE Packet4f pround<Packet4f>(const Packet4f& a)
    757 {
    758   Packet4f res;
    759   res.v4f[0] = vec_round(a.v4f[0]);
    760   res.v4f[1] = vec_round(a.v4f[1]);
    761   return res;
    762 }
    763 
    764 template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const  Packet4f& a)
    765 {
    766   Packet4f res;
    767   res.v4f[0] = vec_ceil(a.v4f[0]);
    768   res.v4f[1] = vec_ceil(a.v4f[1]);
    769   return res;
    770 }
    771 
    772 template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
    773 {
    774   Packet4f res;
    775   res.v4f[0] = vec_floor(a.v4f[0]);
    776   res.v4f[1] = vec_floor(a.v4f[1]);
    777   return res;
    778 }
    779 
    780 template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float*    from)
    781 {
    782   Packet4f p = pload<Packet4f>(from);
    783   p.v4f[1] = vec_splat(p.v4f[0], 1);
    784   p.v4f[0] = vec_splat(p.v4f[0], 0);
    785   return p;
    786 }
    787 
    788 template<> EIGEN_STRONG_INLINE float  pfirst<Packet4f>(const Packet4f& a) { float  EIGEN_ALIGN16 x[2]; vec_st2f(a.v4f[0], &x[0]); return x[0]; }
    789 
    790 template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a)
    791 {
    792   Packet4f rev;
    793   rev.v4f[0] = preverse<Packet2d>(a.v4f[1]);
    794   rev.v4f[1] = preverse<Packet2d>(a.v4f[0]);
    795   return rev;
    796 }
    797 
    798 template<> EIGEN_STRONG_INLINE Packet4f pabs<Packet4f>(const Packet4f& a)
    799 {
    800   Packet4f res;
    801   res.v4f[0] = pabs(a.v4f[0]);
    802   res.v4f[1] = pabs(a.v4f[1]);
    803   return res;
    804 }
    805 
    806 template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
    807 {
    808   Packet2d sum;
    809   sum = padd<Packet2d>(a.v4f[0], a.v4f[1]);
    810   double first = predux<Packet2d>(sum);
    811   return static_cast<float>(first);
    812 }
    813 
    814 template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a)
    815 {
    816   // Return predux_mul<Packet2d> of the subvectors product
    817   return static_cast<float>(pfirst(predux_mul(pmul(a.v4f[0], a.v4f[1]))));
    818 }
    819 
    820 template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a)
    821 {
    822   Packet2d b, res;
    823   b   = pmin<Packet2d>(a.v4f[0], a.v4f[1]);
    824   res = pmin<Packet2d>(b, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(b), reinterpret_cast<Packet4i>(b), 8)));
    825   return static_cast<float>(pfirst(res));
    826 }
    827 
    828 template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a)
    829 {
    830   Packet2d b, res;
    831   b   = pmax<Packet2d>(a.v4f[0], a.v4f[1]);
    832   res = pmax<Packet2d>(b, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(b), reinterpret_cast<Packet4i>(b), 8)));
    833   return static_cast<float>(pfirst(res));
    834 }
    835 
    836 /* Split the Packet4f PacketBlock into 4 Packet2d PacketBlocks and transpose each one
    837  */
    838 EIGEN_DEVICE_FUNC inline void
    839 ptranspose(PacketBlock<Packet4f,4>& kernel) {
    840   PacketBlock<Packet2d,2> t0,t1,t2,t3;
    841   // copy top-left 2x2 Packet2d block
    842   t0.packet[0] = kernel.packet[0].v4f[0];
    843   t0.packet[1] = kernel.packet[1].v4f[0];
    844 
    845   // copy top-right 2x2 Packet2d block
    846   t1.packet[0] = kernel.packet[0].v4f[1];
    847   t1.packet[1] = kernel.packet[1].v4f[1];
    848 
    849   // copy bottom-left 2x2 Packet2d block
    850   t2.packet[0] = kernel.packet[2].v4f[0];
    851   t2.packet[1] = kernel.packet[3].v4f[0];
    852 
    853   // copy bottom-right 2x2 Packet2d block
    854   t3.packet[0] = kernel.packet[2].v4f[1];
    855   t3.packet[1] = kernel.packet[3].v4f[1];
    856 
    857   // Transpose all 2x2 blocks
    858   ptranspose(t0);
    859   ptranspose(t1);
    860   ptranspose(t2);
    861   ptranspose(t3);
    862 
    863   // Copy back transposed blocks, but exchange t1 and t2 due to transposition
    864   kernel.packet[0].v4f[0] = t0.packet[0];
    865   kernel.packet[0].v4f[1] = t2.packet[0];
    866   kernel.packet[1].v4f[0] = t0.packet[1];
    867   kernel.packet[1].v4f[1] = t2.packet[1];
    868   kernel.packet[2].v4f[0] = t1.packet[0];
    869   kernel.packet[2].v4f[1] = t3.packet[0];
    870   kernel.packet[3].v4f[0] = t1.packet[1];
    871   kernel.packet[3].v4f[1] = t3.packet[1];
    872 }
    873 
    874 template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) {
    875   Packet2ul select_hi = { ifPacket.select[0], ifPacket.select[1] };
    876   Packet2ul select_lo = { ifPacket.select[2], ifPacket.select[3] };
    877   Packet2ul mask_hi = vec_cmpeq(select_hi, reinterpret_cast<Packet2ul>(p2l_ONE));
    878   Packet2ul mask_lo = vec_cmpeq(select_lo, reinterpret_cast<Packet2ul>(p2l_ONE));
    879   Packet4f result;
    880   result.v4f[0] = vec_sel(elsePacket.v4f[0], thenPacket.v4f[0], mask_hi);
    881   result.v4f[1] = vec_sel(elsePacket.v4f[1], thenPacket.v4f[1], mask_lo);
    882   return result;
    883 }
    884 
    885 template<> Packet4f EIGEN_STRONG_INLINE pcmp_le<Packet4f>(const Packet4f& a, const Packet4f& b)
    886 {
    887   Packet4f res;
    888   res.v4f[0] = pcmp_le(a.v4f[0], b.v4f[0]);
    889   res.v4f[1] = pcmp_le(a.v4f[1], b.v4f[1]);
    890   return res;
    891 }
    892 
    893 template<> Packet4f EIGEN_STRONG_INLINE pcmp_lt<Packet4f>(const Packet4f& a, const Packet4f& b)
    894 {
    895   Packet4f res;
    896   res.v4f[0] = pcmp_lt(a.v4f[0], b.v4f[0]);
    897   res.v4f[1] = pcmp_lt(a.v4f[1], b.v4f[1]);
    898   return res;
    899 }
    900 
    901 template<> Packet4f EIGEN_STRONG_INLINE pcmp_eq<Packet4f>(const Packet4f& a, const Packet4f& b)
    902 {
    903   Packet4f res;
    904   res.v4f[0] = pcmp_eq(a.v4f[0], b.v4f[0]);
    905   res.v4f[1] = pcmp_eq(a.v4f[1], b.v4f[1]);
    906   return res;
    907 }
    908 
    909 #else
    910 template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from)
    911 {
    912   // FIXME: No intrinsic yet
    913   EIGEN_DEBUG_ALIGNED_LOAD
    914   Packet *vfrom;
    915   vfrom = (Packet *) from;
    916   return vfrom->v4f;
    917 }
    918 
    919 template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from)
    920 {
    921   // FIXME: No intrinsic yet
    922   EIGEN_DEBUG_ALIGNED_STORE
    923   Packet *vto;
    924   vto = (Packet *) to;
    925   vto->v4f = from;
    926 }
    927 
    928 template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from)
    929 {
    930   return vec_splats(from);
    931 }
    932 
    933 template<> EIGEN_STRONG_INLINE void
    934 pbroadcast4<Packet4f>(const float *a,
    935                       Packet4f& a0, Packet4f& a1, Packet4f& a2, Packet4f& a3)
    936 {
    937   a3 = pload<Packet4f>(a);
    938   a0 = vec_splat(a3, 0);
    939   a1 = vec_splat(a3, 1);
    940   a2 = vec_splat(a3, 2);
    941   a3 = vec_splat(a3, 3);
    942 }
    943 
    944 template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Index stride)
    945 {
    946   float EIGEN_ALIGN16 af[4];
    947   af[0] = from[0*stride];
    948   af[1] = from[1*stride];
    949   af[2] = from[2*stride];
    950   af[3] = from[3*stride];
    951  return pload<Packet4f>(af);
    952 }
    953 
    954 template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet4f>(float* to, const Packet4f& from, Index stride)
    955 {
    956   float EIGEN_ALIGN16 af[4];
    957   pstore<float>((float*)af, from);
    958   to[0*stride] = af[0];
    959   to[1*stride] = af[1];
    960   to[2*stride] = af[2];
    961   to[3*stride] = af[3];
    962 }
    963 
    964 template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b) { return (a + b); }
    965 template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b) { return (a - b); }
    966 template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b) { return (a * b); }
    967 template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b) { return (a / b); }
    968 template<> EIGEN_STRONG_INLINE Packet4f pnegate<Packet4f>(const Packet4f& a) { return (-a); }
    969 template<> EIGEN_STRONG_INLINE Packet4f pconj<Packet4f>  (const Packet4f& a) { return a; }
    970 template<> EIGEN_STRONG_INLINE Packet4f pmadd<Packet4f>  (const Packet4f& a, const Packet4f& b, const Packet4f& c) { return vec_madd(a, b, c); }
    971 template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>   (const Packet4f& a, const Packet4f& b) { return vec_min(a, b); }
    972 template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>   (const Packet4f& a, const Packet4f& b) { return vec_max(a, b); }
    973 template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>   (const Packet4f& a, const Packet4f& b) { return vec_and(a, b); }
    974 template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>    (const Packet4f& a, const Packet4f& b) { return vec_or(a, b); }
    975 template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>   (const Packet4f& a, const Packet4f& b) { return vec_xor(a, b); }
    976 template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_and(a, vec_nor(b, b)); }
    977 template<> EIGEN_STRONG_INLINE Packet4f pround<Packet4f> (const Packet4f& a) { return vec_round(a); }
    978 template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>  (const Packet4f& a) { return vec_ceil(a); }
    979 template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f> (const Packet4f& a) { return vec_floor(a); }
    980 template<> EIGEN_STRONG_INLINE Packet4f pabs<Packet4f>   (const Packet4f& a) { return vec_abs(a); }
    981 template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { float EIGEN_ALIGN16 x[4]; pstore(x, a); return x[0]; }
    982 
    983 template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from)
    984 {
    985   Packet4f p = pload<Packet4f>(from);
    986   return vec_perm(p, p, p16uc_DUPLICATE32_HI);
    987 }
    988 
    989 template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a)
    990 {
    991   return reinterpret_cast<Packet4f>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32));
    992 }
    993 
    994 template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
    995 {
    996   Packet4f b, sum;
    997   b   = vec_sld(a, a, 8);
    998   sum = padd<Packet4f>(a, b);
    999   b   = vec_sld(sum, sum, 4);
   1000   sum = padd<Packet4f>(sum, b);
   1001   return pfirst(sum);
   1002 }
   1003 
   1004 // Other reduction functions:
   1005 // mul
   1006 template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a)
   1007 {
   1008   Packet4f prod;
   1009   prod = pmul(a, vec_sld(a, a, 8));
   1010   return pfirst(pmul(prod, vec_sld(prod, prod, 4)));
   1011 }
   1012 
   1013 // min
   1014 template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a)
   1015 {
   1016   Packet4f b, res;
   1017   b   = pmin<Packet4f>(a, vec_sld(a, a, 8));
   1018   res = pmin<Packet4f>(b, vec_sld(b, b, 4));
   1019   return pfirst(res);
   1020 }
   1021 
   1022 // max
   1023 template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a)
   1024 {
   1025   Packet4f b, res;
   1026   b = pmax<Packet4f>(a, vec_sld(a, a, 8));
   1027   res = pmax<Packet4f>(b, vec_sld(b, b, 4));
   1028   return pfirst(res);
   1029 }
   1030 
   1031 EIGEN_DEVICE_FUNC inline void
   1032 ptranspose(PacketBlock<Packet4f,4>& kernel) {
   1033   Packet4f t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
   1034   Packet4f t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
   1035   Packet4f t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
   1036   Packet4f t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
   1037   kernel.packet[0] = vec_mergeh(t0, t2);
   1038   kernel.packet[1] = vec_mergel(t0, t2);
   1039   kernel.packet[2] = vec_mergeh(t1, t3);
   1040   kernel.packet[3] = vec_mergel(t1, t3);
   1041 }
   1042 
   1043 template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) {
   1044   Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] };
   1045   Packet4ui mask = vec_cmpeq(select, reinterpret_cast<Packet4ui>(p4i_ONE));
   1046   return vec_sel(elsePacket, thenPacket, mask);
   1047 }
   1048 
   1049 #endif
   1050 
   1051 template<> EIGEN_STRONG_INLINE void prefetch<float>(const float*   addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
   1052 template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f> (const float* from) { return pload<Packet4f>(from); }
   1053 template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from) { pstore<float>(to, from); }
   1054 template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>  (const float& a)  { return padd<Packet4f>(pset1<Packet4f>(a), p4f_COUNTDOWN); }
   1055 
   1056 } // end namespace internal
   1057 
   1058 } // end namespace Eigen
   1059 
   1060 #endif // EIGEN_PACKET_MATH_ZVECTOR_H