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diff --git a/runtimes/nn/depend/external/eigen/Eigen/src/Core/arch/ZVector/PacketMath.h b/runtimes/nn/depend/external/eigen/Eigen/src/Core/arch/ZVector/PacketMath.h
new file mode 100755
index 000000000..57b01fc63
--- /dev/null
+++ b/runtimes/nn/depend/external/eigen/Eigen/src/Core/arch/ZVector/PacketMath.h
@@ -0,0 +1,945 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 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_ZVECTOR_H
+#define EIGEN_PACKET_MATH_ZVECTOR_H
+
+#include <stdint.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
+
+#ifndef EIGEN_HAS_SINGLE_INSTRUCTION_CJMADD
+#define EIGEN_HAS_SINGLE_INSTRUCTION_CJMADD
+#endif
+
+#ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
+#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 16
+#endif
+
+typedef __vector int Packet4i;
+typedef __vector unsigned int Packet4ui;
+typedef __vector __bool int Packet4bi;
+typedef __vector short int Packet8i;
+typedef __vector unsigned char Packet16uc;
+typedef __vector double Packet2d;
+typedef __vector unsigned long long Packet2ul;
+typedef __vector long long Packet2l;
+
+typedef struct {
+ Packet2d v4f[2];
+} Packet4f;
+
+typedef union {
+ int32_t i[4];
+ uint32_t ui[4];
+ int64_t l[2];
+ uint64_t ul[2];
+ double d[2];
+ Packet4i v4i;
+ Packet4ui v4ui;
+ Packet2l v2l;
+ Packet2ul v2ul;
+ Packet2d v2d;
+} Packet;
+
+// 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_Packet4i(NAME,X) \
+ Packet4i p4i_##NAME = reinterpret_cast<Packet4i>(vec_splat_s32(X))
+
+#define _EIGEN_DECLARE_CONST_FAST_Packet2d(NAME,X) \
+ Packet2d p2d_##NAME = reinterpret_cast<Packet2d>(vec_splat_s64(X))
+
+#define _EIGEN_DECLARE_CONST_FAST_Packet2l(NAME,X) \
+ Packet2l p2l_##NAME = reinterpret_cast<Packet2l>(vec_splat_s64(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)
+
+// These constants are endian-agnostic
+//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_Packet2d(ZERO, 0);
+static _EIGEN_DECLARE_CONST_FAST_Packet2l(ZERO, 0);
+static _EIGEN_DECLARE_CONST_FAST_Packet2l(ONE, 1);
+
+static Packet2d p2d_ONE = { 1.0, 1.0 };
+static Packet2d p2d_ZERO_ = { -0.0, -0.0 };
+
+static Packet4i p4i_COUNTDOWN = { 0, 1, 2, 3 };
+static Packet4f p4f_COUNTDOWN = { 0.0, 1.0, 2.0, 3.0 };
+static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet16uc>(p2d_ZERO), reinterpret_cast<Packet16uc>(p2d_ONE), 8));
+
+static Packet16uc p16uc_PSET64_HI = { 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 };
+static Packet16uc p16uc_DUPLICATE32_HI = { 0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7 };
+
+// Mask alignment
+#define _EIGEN_MASK_ALIGNMENT 0xfffffffffffffff0
+
+#define _EIGEN_ALIGNED_PTR(x) ((std::ptrdiff_t)(x) & _EIGEN_MASK_ALIGNMENT)
+
+// Handle endianness properly while loading constants
+// Define global static constants:
+
+static Packet16uc p16uc_FORWARD = { 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_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, 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};
+
+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 = 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};
+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};*/
+static Packet16uc p16uc_TRANSPOSE64_HI = { 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
+static Packet16uc p16uc_TRANSPOSE64_LO = { 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 };
+
+//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 };
+
+
+#if EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC
+ #define EIGEN_ZVECTOR_PREFETCH(ADDR) __builtin_prefetch(ADDR);
+#else
+ #define EIGEN_ZVECTOR_PREFETCH(ADDR) asm( " pfd [%[addr]]\n" :: [addr] "r" (ADDR) : "cc" );
+#endif
+
+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,
+ HasMul = 1,
+ HasDiv = 1,
+ HasBlend = 1
+ };
+};
+
+template<> struct packet_traits<float> : default_packet_traits
+{
+ typedef Packet4f type;
+ typedef Packet4f half;
+ enum {
+ Vectorizable = 1,
+ AlignedOnScalar = 1,
+ size=4,
+ HasHalfPacket = 0,
+
+ 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,
+ HasNegate = 1,
+ HasBlend = 1
+ };
+};
+
+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,
+ HasNegate = 1,
+ HasBlend = 1
+ };
+};
+
+template<> struct unpacket_traits<Packet4i> { typedef int type; enum {size=4, alignment=Aligned16}; typedef Packet4i half; };
+template<> struct unpacket_traits<Packet4f> { typedef float type; enum {size=4, alignment=Aligned16}; typedef Packet4f half; };
+template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2, alignment=Aligned16}; typedef Packet2d half; };
+
+/* Forward declaration */
+EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet4f,4>& kernel);
+
+inline std::ostream & operator <<(std::ostream & s, const Packet4i & v)
+{
+ Packet vt;
+ vt.v4i = v;
+ s << vt.i[0] << ", " << vt.i[1] << ", " << vt.i[2] << ", " << vt.i[3];
+ return s;
+}
+
+inline std::ostream & operator <<(std::ostream & s, const Packet4ui & v)
+{
+ Packet vt;
+ vt.v4ui = v;
+ s << vt.ui[0] << ", " << vt.ui[1] << ", " << vt.ui[2] << ", " << vt.ui[3];
+ return s;
+}
+
+inline std::ostream & operator <<(std::ostream & s, const Packet2l & v)
+{
+ Packet vt;
+ vt.v2l = v;
+ s << vt.l[0] << ", " << vt.l[1];
+ return s;
+}
+
+inline std::ostream & operator <<(std::ostream & s, const Packet2ul & v)
+{
+ Packet vt;
+ vt.v2ul = v;
+ s << vt.ul[0] << ", " << vt.ul[1] ;
+ return s;
+}
+
+inline std::ostream & operator <<(std::ostream & s, const Packet2d & v)
+{
+ Packet vt;
+ vt.v2d = v;
+ s << vt.d[0] << ", " << vt.d[1];
+ return s;
+}
+
+/* Helper function to simulate a vec_splat_packet4f
+ */
+template<int element> EIGEN_STRONG_INLINE Packet4f vec_splat_packet4f(const Packet4f& from)
+{
+ Packet4f splat;
+ switch (element) {
+ case 0:
+ splat.v4f[0] = vec_splat(from.v4f[0], 0);
+ splat.v4f[1] = splat.v4f[0];
+ break;
+ case 1:
+ splat.v4f[0] = vec_splat(from.v4f[0], 1);
+ splat.v4f[1] = splat.v4f[0];
+ break;
+ case 2:
+ splat.v4f[0] = vec_splat(from.v4f[1], 0);
+ splat.v4f[1] = splat.v4f[0];
+ break;
+ case 3:
+ splat.v4f[0] = vec_splat(from.v4f[1], 1);
+ splat.v4f[1] = splat.v4f[0];
+ break;
+ }
+ return splat;
+}
+
+template<int Offset>
+struct palign_impl<Offset,Packet4i>
+{
+ static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second)
+ {
+ switch (Offset % 4) {
+ case 1:
+ first = vec_sld(first, second, 4); break;
+ case 2:
+ first = vec_sld(first, second, 8); break;
+ case 3:
+ first = vec_sld(first, second, 12); break;
+ }
+ }
+};
+
+/* This is a tricky one, we have to translate float alignment to vector elements of sizeof double
+ */
+template<int Offset>
+struct palign_impl<Offset,Packet4f>
+{
+ static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second)
+ {
+ switch (Offset % 4) {
+ case 1:
+ first.v4f[0] = vec_sld(first.v4f[0], first.v4f[1], 8);
+ first.v4f[1] = vec_sld(first.v4f[1], second.v4f[0], 8);
+ break;
+ case 2:
+ first.v4f[0] = first.v4f[1];
+ first.v4f[1] = second.v4f[0];
+ break;
+ case 3:
+ first.v4f[0] = vec_sld(first.v4f[1], second.v4f[0], 8);
+ first.v4f[1] = vec_sld(second.v4f[0], second.v4f[1], 8);
+ break;
+ }
+ }
+};
+
+
+template<int Offset>
+struct palign_impl<Offset,Packet2d>
+{
+ static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second)
+ {
+ if (Offset == 1)
+ first = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(first), reinterpret_cast<Packet4i>(second), 8));
+ }
+};
+
+template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_LOAD
+ Packet *vfrom;
+ vfrom = (Packet *) from;
+ return vfrom->v4i;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_LOAD
+ Packet4f vfrom;
+ vfrom.v4f[0] = vec_ld2f(&from[0]);
+ vfrom.v4f[1] = vec_ld2f(&from[2]);
+ return vfrom;
+}
+
+template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_LOAD
+ Packet *vfrom;
+ vfrom = (Packet *) from;
+ return vfrom->v2d;
+}
+
+template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_STORE
+ Packet *vto;
+ vto = (Packet *) to;
+ vto->v4i = from;
+}
+
+template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_STORE
+ vec_st2f(from.v4f[0], &to[0]);
+ vec_st2f(from.v4f[1], &to[2]);
+}
+
+
+template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from)
+{
+ // FIXME: No intrinsic yet
+ EIGEN_DEBUG_ALIGNED_STORE
+ Packet *vto;
+ vto = (Packet *) to;
+ vto->v2d = from;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from)
+{
+ return vec_splats(from);
+}
+template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) {
+ return vec_splats(from);
+}
+template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from)
+{
+ Packet4f to;
+ to.v4f[0] = pset1<Packet2d>(static_cast<const double&>(from));
+ to.v4f[1] = to.v4f[0];
+ return to;
+}
+
+template<> EIGEN_STRONG_INLINE void
+pbroadcast4<Packet4i>(const int *a,
+ Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3)
+{
+ a3 = pload<Packet4i>(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)
+{
+ a3 = pload<Packet4f>(a);
+ a0 = vec_splat_packet4f<0>(a3);
+ a1 = vec_splat_packet4f<1>(a3);
+ a2 = vec_splat_packet4f<2>(a3);
+ a3 = vec_splat_packet4f<3>(a3);
+}
+
+template<> EIGEN_STRONG_INLINE void
+pbroadcast4<Packet2d>(const double *a,
+ Packet2d& a0, Packet2d& a1, Packet2d& a2, Packet2d& a3)
+{
+ a1 = pload<Packet2d>(a);
+ a0 = vec_splat(a1, 0);
+ a1 = vec_splat(a1, 1);
+ a3 = pload<Packet2d>(a+2);
+ a2 = vec_splat(a3, 0);
+ a3 = vec_splat(a3, 1);
+}
+
+template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index stride)
+{
+ int EIGEN_ALIGN16 ai[4];
+ ai[0] = from[0*stride];
+ ai[1] = from[1*stride];
+ ai[2] = from[2*stride];
+ ai[3] = from[3*stride];
+ return pload<Packet4i>(ai);
+}
+
+template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Index stride)
+{
+ float EIGEN_ALIGN16 ai[4];
+ ai[0] = from[0*stride];
+ ai[1] = from[1*stride];
+ ai[2] = from[2*stride];
+ ai[3] = from[3*stride];
+ return pload<Packet4f>(ai);
+}
+
+template<> EIGEN_DEVICE_FUNC inline Packet2d pgather<double, Packet2d>(const double* from, Index stride)
+{
+ double EIGEN_ALIGN16 af[2];
+ af[0] = from[0*stride];
+ af[1] = from[1*stride];
+ return pload<Packet2d>(af);
+}
+
+template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& from, Index stride)
+{
+ int EIGEN_ALIGN16 ai[4];
+ pstore<int>((int *)ai, from);
+ to[0*stride] = ai[0];
+ to[1*stride] = ai[1];
+ to[2*stride] = ai[2];
+ to[3*stride] = ai[3];
+}
+
+template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet4f>(float* to, const Packet4f& from, Index stride)
+{
+ float EIGEN_ALIGN16 ai[4];
+ pstore<float>((float *)ai, from);
+ to[0*stride] = ai[0];
+ to[1*stride] = ai[1];
+ to[2*stride] = ai[2];
+ to[3*stride] = ai[3];
+}
+
+template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet2d>(double* to, const Packet2d& from, Index stride)
+{
+ double EIGEN_ALIGN16 af[2];
+ pstore<double>(af, from);
+ to[0*stride] = af[0];
+ to[1*stride] = af[1];
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a + b); }
+template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f c;
+ c.v4f[0] = a.v4f[0] + b.v4f[0];
+ c.v4f[1] = a.v4f[1] + b.v4f[1];
+ return c;
+}
+template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a + b); }
+
+template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a - b); }
+template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f c;
+ c.v4f[0] = a.v4f[0] - b.v4f[0];
+ c.v4f[1] = a.v4f[1] - b.v4f[1];
+ return c;
+}
+template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a - b); }
+
+template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a * b); }
+template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f c;
+ c.v4f[0] = a.v4f[0] * b.v4f[0];
+ c.v4f[1] = a.v4f[1] * b.v4f[1];
+ return c;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a * b); }
+
+template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a / b); }
+template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f c;
+ c.v4f[0] = a.v4f[0] / b.v4f[0];
+ c.v4f[1] = a.v4f[1] / b.v4f[1];
+ return c;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a / b); }
+
+template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return (-a); }
+template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a)
+{
+ Packet4f c;
+ c.v4f[0] = -a.v4f[0];
+ c.v4f[1] = -a.v4f[1];
+ return c;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) { return (-a); }
+
+template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; }
+template<> EIGEN_STRONG_INLINE Packet4f pconj(const Packet4f& a) { return a; }
+template<> EIGEN_STRONG_INLINE Packet2d pconj(const Packet2d& a) { return a; }
+
+template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return padd<Packet4i>(pmul<Packet4i>(a, b), c); }
+template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
+{
+ Packet4f res;
+ res.v4f[0] = vec_madd(a.v4f[0], b.v4f[0], c.v4f[0]);
+ res.v4f[1] = vec_madd(a.v4f[1], b.v4f[1], c.v4f[1]);
+ return res;
+}
+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 Packet4i plset<Packet4i>(const int& a) { return padd<Packet4i>(pset1<Packet4i>(a), p4i_COUNTDOWN); }
+template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>(const float& a) { return padd<Packet4f>(pset1<Packet4f>(a), p4f_COUNTDOWN); }
+template<> EIGEN_STRONG_INLINE Packet2d plset<Packet2d>(const double& a) { return padd<Packet2d>(pset1<Packet2d>(a), p2d_COUNTDOWN); }
+
+template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); }
+template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_min(a, b); }
+template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pmin(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pmin(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); }
+template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_max(a, b); }
+template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pmax(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pmax(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); }
+template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, b); }
+template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pand(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pand(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); }
+template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); }
+template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pand(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pand(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); }
+template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); }
+template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pand(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pand(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return pand<Packet4i>(a, vec_nor(b, 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 Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b)
+{
+ Packet4f res;
+ res.v4f[0] = pandnot(a.v4f[0], b.v4f[0]);
+ res.v4f[1] = pandnot(a.v4f[1], b.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4f pround<Packet4f>(const Packet4f& a)
+{
+ Packet4f res;
+ res.v4f[0] = vec_round(a.v4f[0]);
+ res.v4f[1] = vec_round(a.v4f[1]);
+ return res;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a) { return vec_round(a); }
+template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a)
+{
+ Packet4f res;
+ res.v4f[0] = vec_ceil(a.v4f[0]);
+ res.v4f[1] = vec_ceil(a.v4f[1]);
+ return res;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a) { return vec_ceil(a); }
+template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a)
+{
+ Packet4f res;
+ res.v4f[0] = vec_floor(a.v4f[0]);
+ res.v4f[1] = vec_floor(a.v4f[1]);
+ return res;
+}
+template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec_floor(a); }
+
+template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) { return pload<Packet4i>(from); }
+template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from) { return pload<Packet4f>(from); }
+template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) { return pload<Packet2d>(from); }
+
+
+template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from)
+{
+ Packet4i p = pload<Packet4i>(from);
+ return vec_perm(p, p, p16uc_DUPLICATE32_HI);
+}
+
+template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from)
+{
+ Packet4f p = pload<Packet4f>(from);
+ p.v4f[1] = vec_splat(p.v4f[0], 1);
+ p.v4f[0] = vec_splat(p.v4f[0], 0);
+ return p;
+}
+
+template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from)
+{
+ Packet2d p = pload<Packet2d>(from);
+ return vec_perm(p, p, p16uc_PSET64_HI);
+}
+
+template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from) { pstore<int>(to, from); }
+template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from) { pstore<float>(to, from); }
+template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from) { pstore<double>(to, from); }
+
+template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
+template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
+template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
+
+template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int EIGEN_ALIGN16 x[4]; pstore(x, a); return x[0]; }
+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]; }
+template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { double EIGEN_ALIGN16 x[2]; pstore(x, a); return x[0]; }
+
+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 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 Packet4f preverse(const Packet4f& a)
+{
+ Packet4f rev;
+ rev.v4f[0] = preverse<Packet2d>(a.v4f[1]);
+ rev.v4f[1] = preverse<Packet2d>(a.v4f[0]);
+ return rev;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pabs<Packet4i>(const Packet4i& a) { return vec_abs(a); }
+template<> EIGEN_STRONG_INLINE Packet2d pabs<Packet2d>(const Packet2d& a) { return vec_abs(a); }
+template<> EIGEN_STRONG_INLINE Packet4f pabs<Packet4f>(const Packet4f& a)
+{
+ Packet4f res;
+ res.v4f[0] = pabs(a.v4f[0]);
+ res.v4f[1] = pabs(a.v4f[1]);
+ return res;
+}
+
+template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a)
+{
+ Packet4i b, sum;
+ b = vec_sld(a, a, 8);
+ sum = padd<Packet4i>(a, b);
+ b = vec_sld(sum, sum, 4);
+ sum = padd<Packet4i>(sum, b);
+ return pfirst(sum);
+}
+
+template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a)
+{
+ Packet2d b, sum;
+ b = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8));
+ sum = padd<Packet2d>(a, b);
+ return pfirst(sum);
+}
+template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
+{
+ Packet2d sum;
+ sum = padd<Packet2d>(a.v4f[0], a.v4f[1]);
+ double first = predux<Packet2d>(sum);
+ return static_cast<float>(first);
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i preduxp<Packet4i>(const Packet4i* vecs)
+{
+ Packet4i v[4], sum[4];
+
+ // It's easier and faster to transpose then add as columns
+ // Check: http://www.freevec.org/function/matrix_4x4_transpose_floats for explanation
+ // Do the transpose, first set of moves
+ v[0] = vec_mergeh(vecs[0], vecs[2]);
+ v[1] = vec_mergel(vecs[0], vecs[2]);
+ v[2] = vec_mergeh(vecs[1], vecs[3]);
+ v[3] = vec_mergel(vecs[1], vecs[3]);
+ // Get the resulting vectors
+ sum[0] = vec_mergeh(v[0], v[2]);
+ sum[1] = vec_mergel(v[0], v[2]);
+ sum[2] = vec_mergeh(v[1], v[3]);
+ sum[3] = vec_mergel(v[1], v[3]);
+
+ // Now do the summation:
+ // Lines 0+1
+ sum[0] = padd<Packet4i>(sum[0], sum[1]);
+ // Lines 2+3
+ sum[1] = padd<Packet4i>(sum[2], sum[3]);
+ // Add the results
+ sum[0] = padd<Packet4i>(sum[0], sum[1]);
+
+ return sum[0];
+}
+
+template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs)
+{
+ Packet2d v[2], sum;
+ v[0] = padd<Packet2d>(vecs[0], reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(vecs[0]), reinterpret_cast<Packet4ui>(vecs[0]), 8)));
+ v[1] = padd<Packet2d>(vecs[1], reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(vecs[1]), reinterpret_cast<Packet4ui>(vecs[1]), 8)));
+
+ sum = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(v[0]), reinterpret_cast<Packet4ui>(v[1]), 8));
+
+ return sum;
+}
+
+template<> EIGEN_STRONG_INLINE Packet4f preduxp<Packet4f>(const Packet4f* vecs)
+{
+ PacketBlock<Packet4f,4> transpose;
+ transpose.packet[0] = vecs[0];
+ transpose.packet[1] = vecs[1];
+ transpose.packet[2] = vecs[2];
+ transpose.packet[3] = vecs[3];
+ ptranspose(transpose);
+
+ Packet4f sum = padd(transpose.packet[0], transpose.packet[1]);
+ sum = padd(sum, transpose.packet[2]);
+ sum = padd(sum, transpose.packet[3]);
+ return sum;
+}
+
+// Other reduction functions:
+// mul
+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 double predux_mul<Packet2d>(const Packet2d& a)
+{
+ return pfirst(pmul(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
+}
+
+template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a)
+{
+ // Return predux_mul<Packet2d> of the subvectors product
+ return static_cast<float>(pfirst(predux_mul(pmul(a.v4f[0], a.v4f[1]))));
+}
+
+// min
+template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a)
+{
+ Packet4i b, res;
+ b = pmin<Packet4i>(a, vec_sld(a, a, 8));
+ res = pmin<Packet4i>(b, vec_sld(b, b, 4));
+ return pfirst(res);
+}
+
+template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a)
+{
+ return pfirst(pmin<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
+}
+
+template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a)
+{
+ Packet2d b, res;
+ b = pmin<Packet2d>(a.v4f[0], a.v4f[1]);
+ res = pmin<Packet2d>(b, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(b), reinterpret_cast<Packet4i>(b), 8)));
+ return static_cast<float>(pfirst(res));
+}
+
+// max
+template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
+{
+ Packet4i b, res;
+ b = pmax<Packet4i>(a, vec_sld(a, a, 8));
+ res = pmax<Packet4i>(b, vec_sld(b, b, 4));
+ return pfirst(res);
+}
+
+// max
+template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a)
+{
+ return pfirst(pmax<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
+}
+
+template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a)
+{
+ Packet2d b, res;
+ b = pmax<Packet2d>(a.v4f[0], a.v4f[1]);
+ res = pmax<Packet2d>(b, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(b), reinterpret_cast<Packet4i>(b), 8)));
+ return static_cast<float>(pfirst(res));
+}
+
+EIGEN_DEVICE_FUNC inline void
+ptranspose(PacketBlock<Packet4i,4>& kernel) {
+ Packet4i t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
+ Packet4i t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
+ Packet4i t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
+ Packet4i 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<Packet2d,2>& kernel) {
+ Packet2d t0 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_HI);
+ Packet2d t1 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_LO);
+ kernel.packet[0] = t0;
+ kernel.packet[1] = t1;
+}
+
+/* Split the Packet4f PacketBlock into 4 Packet2d PacketBlocks and transpose each one
+ */
+EIGEN_DEVICE_FUNC inline void
+ptranspose(PacketBlock<Packet4f,4>& kernel) {
+ PacketBlock<Packet2d,2> t0,t1,t2,t3;
+ // copy top-left 2x2 Packet2d block
+ t0.packet[0] = kernel.packet[0].v4f[0];
+ t0.packet[1] = kernel.packet[1].v4f[0];
+
+ // copy top-right 2x2 Packet2d block
+ t1.packet[0] = kernel.packet[0].v4f[1];
+ t1.packet[1] = kernel.packet[1].v4f[1];
+
+ // copy bottom-left 2x2 Packet2d block
+ t2.packet[0] = kernel.packet[2].v4f[0];
+ t2.packet[1] = kernel.packet[3].v4f[0];
+
+ // copy bottom-right 2x2 Packet2d block
+ t3.packet[0] = kernel.packet[2].v4f[1];
+ t3.packet[1] = kernel.packet[3].v4f[1];
+
+ // Transpose all 2x2 blocks
+ ptranspose(t0);
+ ptranspose(t1);
+ ptranspose(t2);
+ ptranspose(t3);
+
+ // Copy back transposed blocks, but exchange t1 and t2 due to transposition
+ kernel.packet[0].v4f[0] = t0.packet[0];
+ kernel.packet[0].v4f[1] = t2.packet[0];
+ kernel.packet[1].v4f[0] = t0.packet[1];
+ kernel.packet[1].v4f[1] = t2.packet[1];
+ kernel.packet[2].v4f[0] = t1.packet[0];
+ kernel.packet[2].v4f[1] = t3.packet[0];
+ kernel.packet[3].v4f[0] = t1.packet[1];
+ kernel.packet[3].v4f[1] = t3.packet[1];
+}
+
+template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packet4i& thenPacket, const Packet4i& elsePacket) {
+ Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] };
+ Packet4ui mask = vec_cmpeq(select, reinterpret_cast<Packet4ui>(p4i_ONE));
+ return vec_sel(elsePacket, thenPacket, mask);
+}
+
+template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) {
+ Packet2ul select_hi = { ifPacket.select[0], ifPacket.select[1] };
+ Packet2ul select_lo = { ifPacket.select[2], ifPacket.select[3] };
+ Packet2ul mask_hi = vec_cmpeq(select_hi, reinterpret_cast<Packet2ul>(p2l_ONE));
+ Packet2ul mask_lo = vec_cmpeq(select_lo, reinterpret_cast<Packet2ul>(p2l_ONE));
+ Packet4f result;
+ result.v4f[0] = vec_sel(elsePacket.v4f[0], thenPacket.v4f[0], mask_hi);
+ result.v4f[1] = vec_sel(elsePacket.v4f[1], thenPacket.v4f[1], mask_lo);
+ return result;
+}
+
+template<> EIGEN_STRONG_INLINE Packet2d pblend(const Selector<2>& ifPacket, const Packet2d& thenPacket, const Packet2d& elsePacket) {
+ Packet2ul select = { ifPacket.select[0], ifPacket.select[1] };
+ Packet2ul mask = vec_cmpeq(select, reinterpret_cast<Packet2ul>(p2l_ONE));
+ return vec_sel(elsePacket, thenPacket, mask);
+}
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_PACKET_MATH_ZVECTOR_H
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