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-rw-r--r--Eigen/src/Core/arch/SSE/PacketMath.h312
1 files changed, 158 insertions, 154 deletions
diff --git a/Eigen/src/Core/arch/SSE/PacketMath.h b/Eigen/src/Core/arch/SSE/PacketMath.h
index a7206e77d..98a5a3426 100644
--- a/Eigen/src/Core/arch/SSE/PacketMath.h
+++ b/Eigen/src/Core/arch/SSE/PacketMath.h
@@ -25,6 +25,8 @@
#ifndef EIGEN_PACKET_MATH_SSE_H
#define EIGEN_PACKET_MATH_SSE_H
+namespace internal {
+
#ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 8
#endif
@@ -37,36 +39,36 @@ typedef __m128 Packet4f;
typedef __m128i Packet4i;
typedef __m128d Packet2d;
-template<> struct ei_is_arithmetic<__m128> { enum { ret = true }; };
-template<> struct ei_is_arithmetic<__m128i> { enum { ret = true }; };
-template<> struct ei_is_arithmetic<__m128d> { enum { ret = true }; };
+template<> struct is_arithmetic<__m128> { enum { ret = true }; };
+template<> struct is_arithmetic<__m128i> { enum { ret = true }; };
+template<> struct is_arithmetic<__m128d> { enum { ret = true }; };
-#define ei_vec4f_swizzle1(v,p,q,r,s) \
+#define vec4f_swizzle1(v,p,q,r,s) \
(_mm_castsi128_ps(_mm_shuffle_epi32( _mm_castps_si128(v), ((s)<<6|(r)<<4|(q)<<2|(p)))))
-#define ei_vec4i_swizzle1(v,p,q,r,s) \
+#define vec4i_swizzle1(v,p,q,r,s) \
(_mm_shuffle_epi32( v, ((s)<<6|(r)<<4|(q)<<2|(p))))
-#define ei_vec2d_swizzle1(v,p,q) \
+#define vec2d_swizzle1(v,p,q) \
(_mm_castsi128_pd(_mm_shuffle_epi32( _mm_castpd_si128(v), ((q*2+1)<<6|(q*2)<<4|(p*2+1)<<2|(p*2)))))
-#define ei_vec4f_swizzle2(a,b,p,q,r,s) \
+#define vec4f_swizzle2(a,b,p,q,r,s) \
(_mm_shuffle_ps( (a), (b), ((s)<<6|(r)<<4|(q)<<2|(p))))
-#define ei_vec4i_swizzle2(a,b,p,q,r,s) \
+#define vec4i_swizzle2(a,b,p,q,r,s) \
(_mm_castps_si128( (_mm_shuffle_ps( _mm_castsi128_ps(a), _mm_castsi128_ps(b), ((s)<<6|(r)<<4|(q)<<2|(p))))))
#define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \
- const Packet4f ei_p4f_##NAME = ei_pset1<Packet4f>(X)
+ const Packet4f p4f_##NAME = pset1<Packet4f>(X)
#define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \
- const Packet4f ei_p4f_##NAME = _mm_castsi128_ps(ei_pset1<Packet4i>(X))
+ const Packet4f p4f_##NAME = _mm_castsi128_ps(pset1<Packet4i>(X))
#define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \
- const Packet4i ei_p4i_##NAME = ei_pset1<Packet4i>(X)
+ const Packet4i p4i_##NAME = pset1<Packet4i>(X)
-template<> struct ei_packet_traits<float> : ei_default_packet_traits
+template<> struct packet_traits<float> : default_packet_traits
{
typedef Packet4f type;
enum {
@@ -82,7 +84,7 @@ template<> struct ei_packet_traits<float> : ei_default_packet_traits
HasSqrt = 1
};
};
-template<> struct ei_packet_traits<double> : ei_default_packet_traits
+template<> struct packet_traits<double> : default_packet_traits
{
typedef Packet2d type;
enum {
@@ -93,7 +95,7 @@ template<> struct ei_packet_traits<double> : ei_default_packet_traits
HasDiv = 1
};
};
-template<> struct ei_packet_traits<int> : ei_default_packet_traits
+template<> struct packet_traits<int> : default_packet_traits
{
typedef Packet4i type;
enum {
@@ -104,125 +106,125 @@ template<> struct ei_packet_traits<int> : ei_default_packet_traits
};
};
-template<> struct ei_unpacket_traits<Packet4f> { typedef float type; enum {size=4}; };
-template<> struct ei_unpacket_traits<Packet2d> { typedef double type; enum {size=2}; };
-template<> struct ei_unpacket_traits<Packet4i> { typedef int type; enum {size=4}; };
+template<> struct unpacket_traits<Packet4f> { typedef float type; enum {size=4}; };
+template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2}; };
+template<> struct unpacket_traits<Packet4i> { typedef int type; enum {size=4}; };
#ifdef __GNUC__
// Sometimes GCC implements _mm_set1_p* using multiple moves,
-// that is inefficient :( (e.g., see ei_gemm_pack_rhs)
-template<> EIGEN_STRONG_INLINE Packet4f ei_pset1<Packet4f>(const float& from) {
+// that is inefficient :( (e.g., see gemm_pack_rhs)
+template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) {
Packet4f res = _mm_set_ss(from);
- return ei_vec4f_swizzle1(res,0,0,0,0);
+ return vec4f_swizzle1(res,0,0,0,0);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_pset1<Packet2d>(const double& from) {
+template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) {
// NOTE the SSE3 intrinsic _mm_loaddup_pd is never faster but sometimes much slower
Packet2d res = _mm_set_sd(from);
- return ei_vec2d_swizzle1(res, 0, 0);
+ return vec2d_swizzle1(res, 0, 0);
}
#else
-template<> EIGEN_STRONG_INLINE Packet4f ei_pset1<Packet4f>(const float& from) { return _mm_set1_ps(from); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pset1<Packet2d>(const double& from) { return _mm_set1_pd(from); }
+template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) { return _mm_set1_ps(from); }
+template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { return _mm_set1_pd(from); }
#endif
-template<> EIGEN_STRONG_INLINE Packet4i ei_pset1<Packet4i>(const int& from) { return _mm_set1_epi32(from); }
+template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from) { return _mm_set1_epi32(from); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_plset<float>(const float& a) { return _mm_add_ps(ei_pset1<Packet4f>(a), _mm_set_ps(3,2,1,0)); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_plset<double>(const double& a) { return _mm_add_pd(ei_pset1<Packet2d>(a),_mm_set_pd(1,0)); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_plset<int>(const int& a) { return _mm_add_epi32(ei_pset1<Packet4i>(a),_mm_set_epi32(3,2,1,0)); }
+template<> EIGEN_STRONG_INLINE Packet4f plset<float>(const float& a) { return _mm_add_ps(pset1<Packet4f>(a), _mm_set_ps(3,2,1,0)); }
+template<> EIGEN_STRONG_INLINE Packet2d plset<double>(const double& a) { return _mm_add_pd(pset1<Packet2d>(a),_mm_set_pd(1,0)); }
+template<> EIGEN_STRONG_INLINE Packet4i plset<int>(const int& a) { return _mm_add_epi32(pset1<Packet4i>(a),_mm_set_epi32(3,2,1,0)); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_padd<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_add_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_add_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_add_epi32(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_add_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_add_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_add_epi32(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_psub<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_sub_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_sub_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_sub_epi32(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_sub_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_sub_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_sub_epi32(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pnegate(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a)
{
const Packet4f mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
return _mm_xor_ps(a,mask);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_pnegate(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a)
{
const Packet2d mask = _mm_castsi128_pd(_mm_setr_epi32(0x0,0x80000000,0x0,0x80000000));
return _mm_xor_pd(a,mask);
}
-template<> EIGEN_STRONG_INLINE Packet4i ei_pnegate(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a)
{
- return ei_psub(_mm_setr_epi32(0,0,0,0), a);
+ return psub(_mm_setr_epi32(0,0,0,0), a);
}
-template<> EIGEN_STRONG_INLINE Packet4f ei_pmul<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_mul_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_mul_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pmul<Packet4i>(const Packet4i& a, const Packet4i& b)
+template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_mul_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_mul_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b)
{
#ifdef EIGEN_VECTORIZE_SSE4_1
return _mm_mullo_epi32(a,b);
#else
// this version is slightly faster than 4 scalar products
- return ei_vec4i_swizzle1(
- ei_vec4i_swizzle2(
+ return vec4i_swizzle1(
+ vec4i_swizzle2(
_mm_mul_epu32(a,b),
- _mm_mul_epu32(ei_vec4i_swizzle1(a,1,0,3,2),
- ei_vec4i_swizzle1(b,1,0,3,2)),
+ _mm_mul_epu32(vec4i_swizzle1(a,1,0,3,2),
+ vec4i_swizzle1(b,1,0,3,2)),
0,2,0,2),
0,2,1,3);
#endif
}
-template<> EIGEN_STRONG_INLINE Packet4f ei_pdiv<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_div_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_div_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pdiv<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/)
-{ ei_assert(false && "packet integer division are not supported by SSE");
- return ei_pset1<Packet4i>(0);
+template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_div_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_div_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/)
+{ eigen_assert(false && "packet integer division are not supported by SSE");
+ return pset1<Packet4i>(0);
}
// for some weird raisons, it has to be overloaded for packet of integers
-template<> EIGEN_STRONG_INLINE Packet4i ei_pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return ei_padd(ei_pmul(a,b), c); }
+template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return padd(pmul(a,b), c); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pmin<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_min_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_min_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pmin<Packet4i>(const Packet4i& a, const Packet4i& b)
+template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_min_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_min_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b)
{
// after some bench, this version *is* faster than a scalar implementation
Packet4i mask = _mm_cmplt_epi32(a,b);
return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
}
-template<> EIGEN_STRONG_INLINE Packet4f ei_pmax<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_max_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_max_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pmax<Packet4i>(const Packet4i& a, const Packet4i& b)
+template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_max_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_max_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b)
{
// after some bench, this version *is* faster than a scalar implementation
Packet4i mask = _mm_cmpgt_epi32(a,b);
return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
}
-template<> EIGEN_STRONG_INLINE Packet4f ei_pand<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_and_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_and_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_and_si128(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_and_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_and_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_and_si128(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_por<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_or_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_por<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_or_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_por<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_or_si128(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_or_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_or_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_or_si128(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pxor<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_xor_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_xor_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_xor_si128(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_xor_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_xor_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_xor_si128(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_andnot_ps(a,b); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_andnot_pd(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_andnot_si128(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_andnot_ps(a,b); }
+template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_andnot_pd(a,b); }
+template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_andnot_si128(a,b); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pload<Packet4f>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_ps(from); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_pload<Packet2d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_pd(from); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_pload<Packet4i>(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_si128(reinterpret_cast<const Packet4i*>(from)); }
+template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_ps(from); }
+template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_pd(from); }
+template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_si128(reinterpret_cast<const Packet4i*>(from)); }
#if defined(_MSC_VER)
- template<> EIGEN_STRONG_INLINE Packet4f ei_ploadu<Packet4f>(const float* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_ps(from); }
- template<> EIGEN_STRONG_INLINE Packet2d ei_ploadu<Packet2d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_pd(from); }
- template<> EIGEN_STRONG_INLINE Packet4i ei_ploadu<Packet4i>(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_si128(reinterpret_cast<const Packet4i*>(from)); }
+ template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_ps(from); }
+ template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_pd(from); }
+ template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_si128(reinterpret_cast<const Packet4i*>(from)); }
#else
// Fast unaligned loads. Note that here we cannot directly use intrinsics: this would
// require pointer casting to incompatible pointer types and leads to invalid code
@@ -230,7 +232,7 @@ template<> EIGEN_STRONG_INLINE Packet4i ei_pload<Packet4i>(const int* from)
// a correct instruction dependency.
// TODO: do the same for MSVC (ICC is compatible)
// NOTE: with the code below, MSVC's compiler crashes!
-template<> EIGEN_STRONG_INLINE Packet4f ei_ploadu<Packet4f>(const float* from)
+template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from)
{
EIGEN_DEBUG_UNALIGNED_LOAD
__m128d res;
@@ -238,7 +240,7 @@ template<> EIGEN_STRONG_INLINE Packet4f ei_ploadu<Packet4f>(const float* from)
res = _mm_loadh_pd(res, (const double*)(from+2)) ;
return _mm_castpd_ps(res);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_ploadu<Packet2d>(const double* from)
+template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from)
{
EIGEN_DEBUG_UNALIGNED_LOAD
__m128d res;
@@ -246,7 +248,7 @@ template<> EIGEN_STRONG_INLINE Packet2d ei_ploadu<Packet2d>(const double* from)
res = _mm_loadh_pd(res,from+1);
return res;
}
-template<> EIGEN_STRONG_INLINE Packet4i ei_ploadu<Packet4i>(const int* from)
+template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from)
{
EIGEN_DEBUG_UNALIGNED_LOAD
__m128d res;
@@ -256,71 +258,71 @@ template<> EIGEN_STRONG_INLINE Packet4i ei_ploadu<Packet4i>(const int* from)
}
#endif
-template<> EIGEN_STRONG_INLINE Packet4f ei_ploaddup<Packet4f>(const float* from)
+template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from)
{
- return ei_vec4f_swizzle1(_mm_castpd_ps(_mm_load_sd((const double*)from)), 0, 0, 1, 1);
+ return vec4f_swizzle1(_mm_castpd_ps(_mm_load_sd((const double*)from)), 0, 0, 1, 1);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_ploaddup<Packet2d>(const double* from)
-{ return ei_pset1<Packet2d>(from[0]); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_ploaddup<Packet4i>(const int* from)
+template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from)
+{ return pset1<Packet2d>(from[0]); }
+template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from)
{
Packet4i tmp;
tmp = _mm_loadl_epi64(reinterpret_cast<const Packet4i*>(from));
- return ei_vec4i_swizzle1(tmp, 0, 0, 1, 1);
+ return vec4i_swizzle1(tmp, 0, 0, 1, 1);
}
-template<> EIGEN_STRONG_INLINE void ei_pstore<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_ps(to, from); }
-template<> EIGEN_STRONG_INLINE void ei_pstore<double>(double* to, const Packet2d& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_pd(to, from); }
-template<> EIGEN_STRONG_INLINE void ei_pstore<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_si128(reinterpret_cast<Packet4i*>(to), from); }
+template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_ps(to, from); }
+template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_pd(to, from); }
+template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_si128(reinterpret_cast<Packet4i*>(to), from); }
-template<> EIGEN_STRONG_INLINE void ei_pstoreu<double>(double* to, const Packet2d& from) {
+template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from) {
EIGEN_DEBUG_UNALIGNED_STORE
_mm_storel_pd((to), from);
_mm_storeh_pd((to+1), from);
}
-template<> EIGEN_STRONG_INLINE void ei_pstoreu<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_UNALIGNED_STORE ei_pstoreu((double*)to, _mm_castps_pd(from)); }
-template<> EIGEN_STRONG_INLINE void ei_pstoreu<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_UNALIGNED_STORE ei_pstoreu((double*)to, _mm_castsi128_pd(from)); }
+template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, _mm_castps_pd(from)); }
+template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, _mm_castsi128_pd(from)); }
-template<> EIGEN_STRONG_INLINE void ei_prefetch<float>(const float* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
-template<> EIGEN_STRONG_INLINE void ei_prefetch<double>(const double* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
-template<> EIGEN_STRONG_INLINE void ei_prefetch<int>(const int* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
+template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
+template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
+template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
#if defined(_MSC_VER) && (_MSC_VER <= 1500) && defined(_WIN64) && !defined(__INTEL_COMPILER)
// The temporary variable fixes an internal compilation error.
// Direct of the struct members fixed bug #62.
-template<> EIGEN_STRONG_INLINE float ei_pfirst<Packet4f>(const Packet4f& a) { return a.m128_f32[0]; }
-template<> EIGEN_STRONG_INLINE double ei_pfirst<Packet2d>(const Packet2d& a) { return a.m128d_f64[0]; }
-template<> EIGEN_STRONG_INLINE int ei_pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; }
+template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { return a.m128_f32[0]; }
+template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { return a.m128d_f64[0]; }
+template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; }
#elif defined(_MSC_VER) && (_MSC_VER <= 1500) && !defined(__INTEL_COMPILER)
// The temporary variable fixes an internal compilation error.
-template<> EIGEN_STRONG_INLINE float ei_pfirst<Packet4f>(const Packet4f& a) { float x = _mm_cvtss_f32(a); return x; }
-template<> EIGEN_STRONG_INLINE double ei_pfirst<Packet2d>(const Packet2d& a) { double x = _mm_cvtsd_f64(a); return x; }
-template<> EIGEN_STRONG_INLINE int ei_pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; }
+template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { float x = _mm_cvtss_f32(a); return x; }
+template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { double x = _mm_cvtsd_f64(a); return x; }
+template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; }
#else
-template<> EIGEN_STRONG_INLINE float ei_pfirst<Packet4f>(const Packet4f& a) { return _mm_cvtss_f32(a); }
-template<> EIGEN_STRONG_INLINE double ei_pfirst<Packet2d>(const Packet2d& a) { return _mm_cvtsd_f64(a); }
-template<> EIGEN_STRONG_INLINE int ei_pfirst<Packet4i>(const Packet4i& a) { return _mm_cvtsi128_si32(a); }
+template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { return _mm_cvtss_f32(a); }
+template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { return _mm_cvtsd_f64(a); }
+template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { return _mm_cvtsi128_si32(a); }
#endif
-template<> EIGEN_STRONG_INLINE Packet4f ei_preverse(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a)
{ return _mm_shuffle_ps(a,a,0x1B); }
-template<> EIGEN_STRONG_INLINE Packet2d ei_preverse(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a)
{ return _mm_shuffle_pd(a,a,0x1); }
-template<> EIGEN_STRONG_INLINE Packet4i ei_preverse(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a)
{ return _mm_shuffle_epi32(a,0x1B); }
-template<> EIGEN_STRONG_INLINE Packet4f ei_pabs(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE Packet4f pabs(const Packet4f& a)
{
const Packet4f mask = _mm_castsi128_ps(_mm_setr_epi32(0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF));
return _mm_and_ps(a,mask);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_pabs(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE Packet2d pabs(const Packet2d& a)
{
const Packet2d mask = _mm_castsi128_pd(_mm_setr_epi32(0xFFFFFFFF,0x7FFFFFFF,0xFFFFFFFF,0x7FFFFFFF));
return _mm_and_pd(a,mask);
}
-template<> EIGEN_STRONG_INLINE Packet4i ei_pabs(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE Packet4i pabs(const Packet4i& a)
{
#ifdef EIGEN_VECTORIZE_SSSE3
return _mm_abs_epi32(a);
@@ -330,7 +332,7 @@ template<> EIGEN_STRONG_INLINE Packet4i ei_pabs(const Packet4i& a)
#endif
}
-EIGEN_STRONG_INLINE void ei_punpackp(Packet4f* vecs)
+EIGEN_STRONG_INLINE void punpackp(Packet4f* vecs)
{
vecs[1] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0x55));
vecs[2] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0xAA));
@@ -340,47 +342,47 @@ EIGEN_STRONG_INLINE void ei_punpackp(Packet4f* vecs)
#ifdef EIGEN_VECTORIZE_SSE3
// TODO implement SSE2 versions as well as integer versions
-template<> EIGEN_STRONG_INLINE Packet4f ei_preduxp<Packet4f>(const Packet4f* vecs)
+template<> EIGEN_STRONG_INLINE Packet4f preduxp<Packet4f>(const Packet4f* vecs)
{
return _mm_hadd_ps(_mm_hadd_ps(vecs[0], vecs[1]),_mm_hadd_ps(vecs[2], vecs[3]));
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_preduxp<Packet2d>(const Packet2d* vecs)
+template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs)
{
return _mm_hadd_pd(vecs[0], vecs[1]);
}
// SSSE3 version:
-// EIGEN_STRONG_INLINE Packet4i ei_preduxp(const Packet4i* vecs)
+// EIGEN_STRONG_INLINE Packet4i preduxp(const Packet4i* vecs)
// {
// return _mm_hadd_epi32(_mm_hadd_epi32(vecs[0], vecs[1]),_mm_hadd_epi32(vecs[2], vecs[3]));
// }
-template<> EIGEN_STRONG_INLINE float ei_predux<Packet4f>(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
{
Packet4f tmp0 = _mm_hadd_ps(a,a);
- return ei_pfirst(_mm_hadd_ps(tmp0, tmp0));
+ return pfirst(_mm_hadd_ps(tmp0, tmp0));
}
-template<> EIGEN_STRONG_INLINE double ei_predux<Packet2d>(const Packet2d& a) { return ei_pfirst(_mm_hadd_pd(a, a)); }
+template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a) { return pfirst(_mm_hadd_pd(a, a)); }
// SSSE3 version:
-// EIGEN_STRONG_INLINE float ei_predux(const Packet4i& a)
+// EIGEN_STRONG_INLINE float predux(const Packet4i& a)
// {
// Packet4i tmp0 = _mm_hadd_epi32(a,a);
-// return ei_pfirst(_mm_hadd_epi32(tmp0, tmp0));
+// return pfirst(_mm_hadd_epi32(tmp0, tmp0));
// }
#else
// SSE2 versions
-template<> EIGEN_STRONG_INLINE float ei_predux<Packet4f>(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
{
Packet4f tmp = _mm_add_ps(a, _mm_movehl_ps(a,a));
- return ei_pfirst(_mm_add_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
+ return pfirst(_mm_add_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
}
-template<> EIGEN_STRONG_INLINE double ei_predux<Packet2d>(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a)
{
- return ei_pfirst(_mm_add_sd(a, _mm_unpackhi_pd(a,a)));
+ return pfirst(_mm_add_sd(a, _mm_unpackhi_pd(a,a)));
}
-template<> EIGEN_STRONG_INLINE Packet4f ei_preduxp<Packet4f>(const Packet4f* vecs)
+template<> EIGEN_STRONG_INLINE Packet4f preduxp<Packet4f>(const Packet4f* vecs)
{
Packet4f tmp0, tmp1, tmp2;
tmp0 = _mm_unpacklo_ps(vecs[0], vecs[1]);
@@ -394,19 +396,19 @@ template<> EIGEN_STRONG_INLINE Packet4f ei_preduxp<Packet4f>(const Packet4f* vec
return _mm_add_ps(tmp0, tmp2);
}
-template<> EIGEN_STRONG_INLINE Packet2d ei_preduxp<Packet2d>(const Packet2d* vecs)
+template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs)
{
return _mm_add_pd(_mm_unpacklo_pd(vecs[0], vecs[1]), _mm_unpackhi_pd(vecs[0], vecs[1]));
}
#endif // SSE3
-template<> EIGEN_STRONG_INLINE int ei_predux<Packet4i>(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a)
{
Packet4i tmp = _mm_add_epi32(a, _mm_unpackhi_epi64(a,a));
- return ei_pfirst(tmp) + ei_pfirst(_mm_shuffle_epi32(tmp, 1));
+ return pfirst(tmp) + pfirst(_mm_shuffle_epi32(tmp, 1));
}
-template<> EIGEN_STRONG_INLINE Packet4i ei_preduxp<Packet4i>(const Packet4i* vecs)
+template<> EIGEN_STRONG_INLINE Packet4i preduxp<Packet4i>(const Packet4i* vecs)
{
Packet4i tmp0, tmp1, tmp2;
tmp0 = _mm_unpacklo_epi32(vecs[0], vecs[1]);
@@ -423,69 +425,69 @@ template<> EIGEN_STRONG_INLINE Packet4i ei_preduxp<Packet4i>(const Packet4i* vec
// Other reduction functions:
// mul
-template<> EIGEN_STRONG_INLINE float ei_predux_mul<Packet4f>(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a)
{
Packet4f tmp = _mm_mul_ps(a, _mm_movehl_ps(a,a));
- return ei_pfirst(_mm_mul_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
+ return pfirst(_mm_mul_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
}
-template<> EIGEN_STRONG_INLINE double ei_predux_mul<Packet2d>(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a)
{
- return ei_pfirst(_mm_mul_sd(a, _mm_unpackhi_pd(a,a)));
+ return pfirst(_mm_mul_sd(a, _mm_unpackhi_pd(a,a)));
}
-template<> EIGEN_STRONG_INLINE int ei_predux_mul<Packet4i>(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a)
{
// after some experiments, it is seems this is the fastest way to implement it
- // for GCC (eg., reusing ei_pmul is very slow !)
+ // for GCC (eg., reusing pmul is very slow !)
// TODO try to call _mm_mul_epu32 directly
EIGEN_ALIGN16 int aux[4];
- ei_pstore(aux, a);
+ pstore(aux, a);
return (aux[0] * aux[1]) * (aux[2] * aux[3]);;
}
// min
-template<> EIGEN_STRONG_INLINE float ei_predux_min<Packet4f>(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a)
{
Packet4f tmp = _mm_min_ps(a, _mm_movehl_ps(a,a));
- return ei_pfirst(_mm_min_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
+ return pfirst(_mm_min_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
}
-template<> EIGEN_STRONG_INLINE double ei_predux_min<Packet2d>(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a)
{
- return ei_pfirst(_mm_min_sd(a, _mm_unpackhi_pd(a,a)));
+ return pfirst(_mm_min_sd(a, _mm_unpackhi_pd(a,a)));
}
-template<> EIGEN_STRONG_INLINE int ei_predux_min<Packet4i>(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a)
{
// after some experiments, it is seems this is the fastest way to implement it
- // for GCC (eg., it does not like using std::min after the ei_pstore !!)
+ // for GCC (eg., it does not like using std::min after the pstore !!)
EIGEN_ALIGN16 int aux[4];
- ei_pstore(aux, a);
+ pstore(aux, a);
register int aux0 = aux[0]<aux[1] ? aux[0] : aux[1];
register int aux2 = aux[2]<aux[3] ? aux[2] : aux[3];
return aux0<aux2 ? aux0 : aux2;
}
// max
-template<> EIGEN_STRONG_INLINE float ei_predux_max<Packet4f>(const Packet4f& a)
+template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a)
{
Packet4f tmp = _mm_max_ps(a, _mm_movehl_ps(a,a));
- return ei_pfirst(_mm_max_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
+ return pfirst(_mm_max_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
}
-template<> EIGEN_STRONG_INLINE double ei_predux_max<Packet2d>(const Packet2d& a)
+template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a)
{
- return ei_pfirst(_mm_max_sd(a, _mm_unpackhi_pd(a,a)));
+ return pfirst(_mm_max_sd(a, _mm_unpackhi_pd(a,a)));
}
-template<> EIGEN_STRONG_INLINE int ei_predux_max<Packet4i>(const Packet4i& a)
+template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
{
// after some experiments, it is seems this is the fastest way to implement it
- // for GCC (eg., it does not like using std::min after the ei_pstore !!)
+ // for GCC (eg., it does not like using std::min after the pstore !!)
EIGEN_ALIGN16 int aux[4];
- ei_pstore(aux, a);
+ pstore(aux, a);
register int aux0 = aux[0]>aux[1] ? aux[0] : aux[1];
register int aux2 = aux[2]>aux[3] ? aux[2] : aux[3];
return aux0>aux2 ? aux0 : aux2;
}
#if (defined __GNUC__)
-// template <> EIGEN_STRONG_INLINE Packet4f ei_pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
+// template <> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
// {
// Packet4f res = b;
// asm("mulps %[a], %[b] \n\taddps %[c], %[b]" : [b] "+x" (res) : [a] "x" (a), [c] "x" (c));
@@ -502,7 +504,7 @@ template<> EIGEN_STRONG_INLINE int ei_predux_max<Packet4i>(const Packet4i& a)
#ifdef EIGEN_VECTORIZE_SSSE3
// SSSE3 versions
template<int Offset>
-struct ei_palign_impl<Offset,Packet4f>
+struct palign_impl<Offset,Packet4f>
{
EIGEN_STRONG_INLINE static void run(Packet4f& first, const Packet4f& second)
{
@@ -512,7 +514,7 @@ struct ei_palign_impl<Offset,Packet4f>
};
template<int Offset>
-struct ei_palign_impl<Offset,Packet4i>
+struct palign_impl<Offset,Packet4i>
{
EIGEN_STRONG_INLINE static void run(Packet4i& first, const Packet4i& second)
{
@@ -522,7 +524,7 @@ struct ei_palign_impl<Offset,Packet4i>
};
template<int Offset>
-struct ei_palign_impl<Offset,Packet2d>
+struct palign_impl<Offset,Packet2d>
{
EIGEN_STRONG_INLINE static void run(Packet2d& first, const Packet2d& second)
{
@@ -533,7 +535,7 @@ struct ei_palign_impl<Offset,Packet2d>
#else
// SSE2 versions
template<int Offset>
-struct ei_palign_impl<Offset,Packet4f>
+struct palign_impl<Offset,Packet4f>
{
EIGEN_STRONG_INLINE static void run(Packet4f& first, const Packet4f& second)
{
@@ -556,7 +558,7 @@ struct ei_palign_impl<Offset,Packet4f>
};
template<int Offset>
-struct ei_palign_impl<Offset,Packet4i>
+struct palign_impl<Offset,Packet4i>
{
EIGEN_STRONG_INLINE static void run(Packet4i& first, const Packet4i& second)
{
@@ -579,7 +581,7 @@ struct ei_palign_impl<Offset,Packet4i>
};
template<int Offset>
-struct ei_palign_impl<Offset,Packet2d>
+struct palign_impl<Offset,Packet2d>
{
EIGEN_STRONG_INLINE static void run(Packet2d& first, const Packet2d& second)
{
@@ -592,4 +594,6 @@ struct ei_palign_impl<Offset,Packet2d>
};
#endif
+} // end namespace internal
+
#endif // EIGEN_PACKET_MATH_SSE_H