Special function implementations for half/bfloat16 packets.

Current implementations fail to consider half-float packets, only
half-float scalars.  Added specializations for packets on AVX, AVX512 and
NEON.  Added tests to `special_packetmath`.

The current `special_functions` tests would fail for half and bfloat16 due to
lack of precision. The NEON tests also fail with precision issues and
due to different handling of `sqrt(inf)`, so special functions bessel, ndtri
have been disabled.

Tested with AVX, AVX512.
This commit is contained in:
Antonio Sanchez
2020-12-02 14:00:57 -08:00
parent 305b8bd277
commit e2f21465fe
17 changed files with 418 additions and 159 deletions

View File

@@ -46,7 +46,7 @@ struct bessel_i0e_retval {
typedef Scalar type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_i0e {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -201,11 +201,11 @@ struct generic_i0e<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_i0e_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_i0e<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_i0e<T>::run(x);
}
};
@@ -214,7 +214,7 @@ struct bessel_i0_retval {
typedef Scalar type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_i0 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T& x) {
@@ -224,11 +224,11 @@ struct generic_i0 {
}
};
template <typename Scalar>
template <typename T>
struct bessel_i0_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_i0<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_i0<T>::run(x);
}
};
@@ -237,7 +237,7 @@ struct bessel_i1e_retval {
typedef Scalar type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type >
struct generic_i1e {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -396,20 +396,20 @@ struct generic_i1e<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_i1e_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_i1e<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_i1e<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_i1_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_i1 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T& x) {
@@ -419,20 +419,20 @@ struct generic_i1 {
}
};
template <typename Scalar>
template <typename T>
struct bessel_i1_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_i1<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_i1<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_k0e_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_k0e {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -582,20 +582,20 @@ struct generic_k0e<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_k0e_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_k0e<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_k0e<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_k0_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_k0 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -754,20 +754,20 @@ struct generic_k0<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_k0_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_k0<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_k0<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_k1e_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_k1e {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -910,20 +910,20 @@ struct generic_k1e<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_k1e_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_k1e<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_k1e<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_k1_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_k1 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -1076,20 +1076,20 @@ struct generic_k1<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_k1_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_k1<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_k1<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_j0_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_j0 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -1276,20 +1276,20 @@ struct generic_j0<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_j0_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_j0<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_j0<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_y0_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_y0 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -1474,20 +1474,20 @@ struct generic_y0<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_y0_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_y0<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_y0<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_j1_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_j1 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -1665,20 +1665,20 @@ struct generic_j1<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_j1_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_j1<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_j1<T>::run(x);
}
};
template <typename Scalar>
template <typename T>
struct bessel_y1_retval {
typedef Scalar type;
typedef T type;
};
template <typename T, typename ScalarType>
template <typename T, typename ScalarType = typename unpacket_traits<T>::type>
struct generic_y1 {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T&) {
@@ -1868,11 +1868,11 @@ struct generic_y1<T, double> {
}
};
template <typename Scalar>
template <typename T>
struct bessel_y1_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Scalar x) {
return generic_y1<Scalar, Scalar>::run(x);
static EIGEN_STRONG_INLINE T run(const T x) {
return generic_y1<T>::run(x);
}
};

View File

@@ -19,8 +19,7 @@ namespace internal {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_i0(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_i0; return generic_i0<Packet, ScalarType>::run(x);
return numext::bessel_i0(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -28,8 +27,7 @@ Packet pbessel_i0(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_i0e(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_i0e; return generic_i0e<Packet, ScalarType>::run(x);
return numext::bessel_i0e(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -37,8 +35,7 @@ Packet pbessel_i0e(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_i1(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_i1; return generic_i1<Packet, ScalarType>::run(x);
return numext::bessel_i1(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -46,8 +43,7 @@ Packet pbessel_i1(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_i1e(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_i1e; return generic_i1e<Packet, ScalarType>::run(x);
return numext::bessel_i1e(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -55,8 +51,7 @@ Packet pbessel_i1e(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_j0(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_j0; return generic_j0<Packet, ScalarType>::run(x);
return numext::bessel_j0(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -64,8 +59,7 @@ Packet pbessel_j0(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_j1(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_j1; return generic_j1<Packet, ScalarType>::run(x);
return numext::bessel_j1(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -73,8 +67,7 @@ Packet pbessel_j1(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_y0(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_y0; return generic_y0<Packet, ScalarType>::run(x);
return numext::bessel_y0(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -82,8 +75,7 @@ Packet pbessel_y0(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_y1(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_y1; return generic_y1<Packet, ScalarType>::run(x);
return numext::bessel_y1(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -91,8 +83,7 @@ Packet pbessel_y1(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_k0(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_k0; return generic_k0<Packet, ScalarType>::run(x);
return numext::bessel_k0(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -100,8 +91,7 @@ Packet pbessel_k0(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_k0e(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_k0e; return generic_k0e<Packet, ScalarType>::run(x);
return numext::bessel_k0e(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -109,8 +99,7 @@ Packet pbessel_k0e(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_k1(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_k1; return generic_k1<Packet, ScalarType>::run(x);
return numext::bessel_k1(x);
}
/** \internal \returns the exponentially scaled modified Bessel function of
@@ -118,8 +107,7 @@ Packet pbessel_k1(const Packet& x) {
template <typename Packet>
EIGEN_DEVICE_FUNC EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
Packet pbessel_k1e(const Packet& x) {
typedef typename unpacket_traits<Packet>::type ScalarType;
using internal::generic_k1e; return generic_k1e<Packet, ScalarType>::run(x);
return numext::bessel_k1e(x);
}
} // end namespace internal

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@@ -348,7 +348,7 @@ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T generic_fast_erf_float(const T& a_x) {
template <typename T>
struct erf_impl {
EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE T run(const T x) {
static EIGEN_STRONG_INLINE T run(const T& x) {
return generic_fast_erf_float(x);
}
};
@@ -490,7 +490,8 @@ struct erfc_impl<double> {
template<typename T>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T flipsign(
const T& should_flipsign, const T& x) {
const T sign_mask = pset1<T>(-0.0);
typedef typename unpacket_traits<T>::type Scalar;
const T sign_mask = pset1<T>(Scalar(-0.0));
T sign_bit = pand<T>(should_flipsign, sign_mask);
return pxor<T>(sign_bit, x);
}

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@@ -0,0 +1,46 @@
#ifndef EIGEN_AVX_BESSELFUNCTIONS_H
#define EIGEN_AVX_BESSELFUNCTIONS_H
namespace Eigen {
namespace internal {
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_i0)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_i0)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_i0e)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_i0e)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_i1)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_i1)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_i1e)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_i1e)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_j0)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_j0)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_j1)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_j1)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_k0)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_k0)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_k0e)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_k0e)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_k1)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_k1)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_k1e)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_k1e)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_y0)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_y0)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pbessel_y1)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pbessel_y1)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_AVX_BESSELFUNCTIONS_H

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@@ -0,0 +1,16 @@
#ifndef EIGEN_AVX_SPECIALFUNCTIONS_H
#define EIGEN_AVX_SPECIALFUNCTIONS_H
namespace Eigen {
namespace internal {
F16_PACKET_FUNCTION(Packet8f, Packet8h, perf)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, perf)
F16_PACKET_FUNCTION(Packet8f, Packet8h, pndtri)
BF16_PACKET_FUNCTION(Packet8f, Packet8bf, pndtri)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_AVX_SPECIAL_FUNCTIONS_H

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@@ -0,0 +1,46 @@
#ifndef EIGEN_AVX512_BESSELFUNCTIONS_H
#define EIGEN_AVX512_BESSELFUNCTIONS_H
namespace Eigen {
namespace internal {
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_i0)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_i0)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_i0e)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_i0e)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_i1)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_i1)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_i1e)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_i1e)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_j0)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_j0)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_j1)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_j1)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_k0)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_k0)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_k0e)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_k0e)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_k1)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_k1)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_k1e)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_k1e)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_y0)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_y0)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pbessel_y1)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pbessel_y1)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_AVX512_BESSELFUNCTIONS_H

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@@ -0,0 +1,16 @@
#ifndef EIGEN_AVX512_SPECIALFUNCTIONS_H
#define EIGEN_AVX512_SPECIALFUNCTIONS_H
namespace Eigen {
namespace internal {
F16_PACKET_FUNCTION(Packet16f, Packet16h, perf)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, perf)
F16_PACKET_FUNCTION(Packet16f, Packet16h, pndtri)
BF16_PACKET_FUNCTION(Packet16f, Packet16bf, pndtri)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_AVX512_SPECIAL_FUNCTIONS_H

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@@ -0,0 +1,54 @@
#ifndef EIGEN_NEON_BESSELFUNCTIONS_H
#define EIGEN_NEON_BESSELFUNCTIONS_H
namespace Eigen {
namespace internal {
#if EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC
#define NEON_HALF_TO_FLOAT_FUNCTIONS(METHOD) \
template <> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
Packet8hf METHOD<Packet8hf>(const Packet8hf& x) { \
const Packet4f lo = METHOD<Packet4f>(vcvt_f32_f16(vget_low_f16(x))); \
const Packet4f hi = METHOD<Packet4f>(vcvt_f32_f16(vget_high_f16(x))); \
return vcombine_f16(vcvt_f16_f32(lo), vcvt_f16_f32(hi)); \
} \
\
template <> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
Packet4hf METHOD<Packet4hf>(const Packet4hf& x) { \
return vcvt_f16_f32(METHOD<Packet4f>(vcvt_f32_f16(x))); \
}
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_i0)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_i0e)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_i1)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_i1e)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_j0)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_j1)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_k0)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_k0e)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_k1)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_k1e)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_y0)
NEON_HALF_TO_FLOAT_FUNCTIONS(pbessel_y1)
#undef NEON_HALF_TO_FLOAT_FUNCTIONS
#endif
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_i0)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_i0e)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_i1)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_i1e)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_j0)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_j1)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_k0)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_k0e)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_k1)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_k1e)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_y0)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pbessel_y1)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_NEON_BESSELFUNCTIONS_H

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@@ -0,0 +1,34 @@
#ifndef EIGEN_NEON_SPECIALFUNCTIONS_H
#define EIGEN_NEON_SPECIALFUNCTIONS_H
namespace Eigen {
namespace internal {
#ifdef EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC
#define NEON_HALF_TO_FLOAT_FUNCTIONS(METHOD) \
template <> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
Packet8hf METHOD<Packet8hf>(const Packet8hf& x) { \
const Packet4f lo = METHOD<Packet4f>(vcvt_f32_f16(vget_low_f16(x))); \
const Packet4f hi = METHOD<Packet4f>(vcvt_f32_f16(vget_high_f16(x))); \
return vcombine_f16(vcvt_f16_f32(lo), vcvt_f16_f32(hi)); \
} \
\
template <> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
Packet4hf METHOD<Packet4hf>(const Packet4hf& x) { \
return vcvt_f16_f32(METHOD<Packet4f>(vcvt_f32_f16(x))); \
}
NEON_HALF_TO_FLOAT_FUNCTIONS(perf)
NEON_HALF_TO_FLOAT_FUNCTIONS(pndtri)
#undef NEON_HALF_TO_FLOAT_FUNCTIONS
#endif
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, perf)
BF16_PACKET_FUNCTION(Packet4f, Packet4bf, pndtri)
} // namespace internal
} // namespace Eigen
#endif // EIGEN_NEON_SPECIALFUNCTIONS_H