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numeric_conversion.h
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numeric_conversion.h
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/***************************************************************************************************
* Copyright (c) 2017 - 2023 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
* SPDX-License-Identifier: BSD-3-Clause
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* 3. Neither the name of the copyright holder nor the names of its
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
**************************************************************************************************/
/*!
\file
\brief Boost-like numeric conversion operator for CUTLASS numeric types
*/
#pragma once
#if !defined(__CUDACC_RTC__)
#include <cfenv>
#endif
#include "cutlass/cutlass.h"
#include "cutlass/numeric_types.h"
#include "cutlass/transform/thread/unary_op.h"
#include "cutlass/array.h"
#include "cutlass/half.h"
namespace cutlass {
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Floating-point rounding style similare to Standard Library's formats but supporting
/// additional rounding options.
enum class FloatRoundStyle {
round_indeterminate, ///< rounding mode unknown
round_toward_zero, ///< round toward zero
round_to_nearest, ///< round to nearest even
round_to_nearest_satfinite, ///< round to nearest even, capping value to min and max of destination type
round_toward_infinity, ///< round toward infinity
round_toward_neg_infinity, ///< round toward negative infinity
round_half_ulp_truncate, ///< add 0.5ulp to integer representation then round toward zero
round_half_ulp_trunc_dntz ///< like round_half_ulp_truncate, except denorms are rounded *toward* zero
};
/////////////////////////////////////////////////////////////////////////////////////////////////
template <
typename T,
typename S,
FloatRoundStyle Round = FloatRoundStyle::round_to_nearest
>
struct NumericConverter {
using result_type = T;
using source_type = S;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return static_cast<result_type>(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Partial specializations for float => int32_t
//
/////////////////////////////////////////////////////////////////////////////////////////////////
#if defined(__CUDA_ARCH__)
template <>
struct NumericConverter<int32_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = int32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_DEVICE
static result_type convert(source_type const & s) {
return __float2int_rn(s);
}
CUTLASS_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<int32_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = int32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
CUTLASS_DEVICE
static result_type convert(source_type const & s) {
return __float2int_rz(s);
}
CUTLASS_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
#elif !defined(__CUDACC_RTC__)
template <>
struct NumericConverter<int32_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = int32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
static result_type convert(source_type const & s) {
std::fesetround(FE_TONEAREST);
return (result_type)std::nearbyint(s);
}
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<int32_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = int32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
static result_type convert(source_type const & s) {
std::fesetround(FE_TOWARDZERO);
return (result_type)std::nearbyint(s);
}
result_type operator()(source_type const &s) const {
return convert(s);
}
};
#endif
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Partial specializations for float => int8_t
//
/////////////////////////////////////////////////////////////////////////////////////////////////
#if defined(__CUDA_ARCH__)
template <>
struct NumericConverter<int8_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = int8_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_DEVICE
static result_type convert(source_type const & s) {
int32_t intermediate;
asm volatile("cvt.rni.sat.s8.f32 %0, %1;" : "=r"(intermediate) : "f"(s));
return static_cast<result_type>(intermediate);
}
CUTLASS_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<int8_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = int8_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
CUTLASS_DEVICE
static result_type convert(source_type const & s) {
int32_t intermediate;
asm volatile("cvt.rzi.sat.s8.f32 %0, %1;" : "=r"(intermediate) : "f"(s));
return static_cast<result_type>(intermediate);
}
CUTLASS_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
#elif !defined(__CUDACC_RTC__)
template <>
struct NumericConverter<int8_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = int8_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
static result_type convert(source_type const & s) {
std::fesetround(FE_TONEAREST);
int32_t intermediate = (int32_t)std::nearbyint(s);
// Low-end saturation
intermediate = std::max(intermediate, (int32_t)std::numeric_limits<int8_t>::lowest());
// High-end saturation
intermediate = std::min(intermediate, (int32_t)std::numeric_limits<int8_t>::max());
return static_cast<result_type>(intermediate);
}
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<int8_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = int8_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
static result_type convert(source_type const & s) {
std::fesetround(FE_TOWARDZERO);
int32_t intermediate = (int32_t)std::nearbyint(s);
// Low-end saturation
intermediate = std::max(intermediate, (int32_t)std::numeric_limits<int8_t>::lowest());
// High-end saturation
intermediate = std::min(intermediate, (int32_t)std::numeric_limits<int8_t>::max());
return static_cast<result_type>(intermediate);
}
result_type operator()(source_type const &s) const {
return convert(s);
}
};
#endif
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for float <= half_t
template <typename T, FloatRoundStyle Round>
struct NumericConverter<T, T, Round> {
using result_type = T;
using source_type = T;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return s;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Partial specializations for float <=> half_t
//
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for float <= half_t
template <FloatRoundStyle Round>
struct NumericConverter<float, half_t, Round> {
using result_type = float;
using source_type = half_t;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
result_type result = static_cast<float>(s);
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/// Specialization for round-to-nearest
template <>
struct NumericConverter<half_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = half_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
result_type result = static_cast<half_t>(s);
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/// Specialization for round-toward-zero
template <>
struct NumericConverter<half_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = half_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
/// Round toward zero
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & flt) {
#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 530)
return half_t(__float2half_rz(flt));
#else
// software implementation rounds toward nearest even
unsigned const& s = reinterpret_cast<unsigned const &>(flt);
uint16_t sign = uint16_t((s >> 16) & 0x8000);
int16_t exp = uint16_t(((s >> 23) & 0xff) - 127);
int mantissa = s & 0x7fffff;
uint16_t u = 0;
if ((s & 0x7fffffff) == 0) {
// sign-preserving zero
return half_t::bitcast(sign);
}
if (exp > 15) {
if (exp == 128 && mantissa) {
// not a number
u = 0x7fff;
} else {
// overflow to infinity
u = sign | 0x7c00;
}
return half_t::bitcast(u);
}
if (exp >= -14) {
// normal fp32 to normal fp16
exp = uint16_t(exp + uint16_t(15));
u = uint16_t(((exp & 0x1f) << 10));
u = uint16_t(u | (mantissa >> 13));
} else {
// normal single-precision to subnormal half_t-precision representation
int rshift = (-14 - exp);
if (rshift < 32) {
mantissa |= (1 << 23);
mantissa = (mantissa >> rshift);
u = (uint16_t(mantissa >> 13) & 0x3ff);
} else {
mantissa = 0;
u = 0;
}
}
u |= sign;
return half_t::bitcast(u);
#endif // defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 530)
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Partial specializations for float <=> bfloat16_t
//
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for float <= bfloat16_t
template <FloatRoundStyle Round>
struct NumericConverter<float, bfloat16_t, Round> {
using result_type = float;
using source_type = bfloat16_t;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return static_cast<float>(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<bfloat16_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = bfloat16_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return static_cast<bfloat16_t>(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<bfloat16_t, float, FloatRoundStyle::round_half_ulp_truncate> {
using result_type = bfloat16_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_half_ulp_truncate;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
uint32_t x32 = reinterpret_cast<uint32_t const &>(s);
#if defined(__CUDA_ARCH__)
if (::isfinite(s)) {
x32 += 0x8000;
}
#else
if (std::isfinite(s)) {
x32 += 0x8000;
}
#endif
uint16_t x16 = uint16_t((x32 >> 16) & 0xffff);
return bfloat16_t::bitcast(x16);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<bfloat16_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = bfloat16_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
uint32_t x32 = reinterpret_cast<uint32_t const &>(s);
uint16_t x16 = uint16_t(x32 >> 16);
return bfloat16_t::bitcast(x16);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Partial specializations for float <=> tfloat32_t
//
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for float <= tfloat32_t
template <FloatRoundStyle Round>
struct NumericConverter<float, tfloat32_t, Round> {
using result_type = float;
using source_type = tfloat32_t;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return static_cast<float>(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<tfloat32_t, float, FloatRoundStyle::round_to_nearest> {
using result_type = tfloat32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
unsigned storage = reinterpret_cast<unsigned const &>(s);
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 900
asm volatile("cvt.rn.tf32.f32 %0, %1;" : "=r"(storage) : "r"(storage));
#else
if ((storage & 0x7f800000) != 0x7f800000) {
bool mantissa_bit = ((storage & (1 << 13)) != 0);
bool round_bit = ((storage & (1 << 12)) != 0);
bool sticky_bit = ((storage & ((1 << 12) - 1)) != 0);
if ((round_bit && sticky_bit) || (round_bit && mantissa_bit)) {
storage += uint32_t(1 << 13);
}
// Note, the following is intentionally commented out. TF32
// does not define the low order bits, so they may be left in
// an undefined state.
//
// By not truncating these bit explicitly, we avoid an extra logical
// operation.
//
// TF32 may be implicitly converted to float by performing this
// operation as needed.
//
// storage = (storage & ~0x1fff);
}
else if (storage & ~0xff800000) {
storage = 0x7fffffff;
}
#endif
return tfloat32_t::bitcast(storage);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<tfloat32_t, float, FloatRoundStyle::round_half_ulp_truncate> {
using result_type = tfloat32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_half_ulp_truncate;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
return tfloat32_t::round_half_ulp_truncate(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/// This rounding operation is similar to half_ulp_truncate except it rounds denorms toward zero.
/// It avoids predicated code, though it requires a temporary register.
template <>
struct NumericConverter<tfloat32_t, float, FloatRoundStyle::round_half_ulp_trunc_dntz> {
using result_type = tfloat32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_half_ulp_trunc_dntz;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
unsigned y = reinterpret_cast<unsigned const &>(s);
y = y & 0xff800000;
float d = reinterpret_cast<float const &>(y);
float z = d / float(1 << 11) + s;
return reinterpret_cast<result_type const &>(z);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <>
struct NumericConverter<tfloat32_t, float, FloatRoundStyle::round_toward_zero> {
using result_type = tfloat32_t;
using source_type = float;
static FloatRoundStyle const round_style = FloatRoundStyle::round_toward_zero;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
uint32_t x = reinterpret_cast<uint32_t const &>(s);
return tfloat32_t::bitcast(x & 0xffffe000);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Conversion operator for float to tfloat32_t big and small values
//
/////////////////////////////////////////////////////////////////////////////////////////////////
template <
FloatRoundStyle RoundBig = FloatRoundStyle::round_toward_zero,
FloatRoundStyle RoundSmall = FloatRoundStyle::round_half_ulp_truncate
>
struct NumericConverterFastF32 {
// result_type holds big tfloat32_t at idx(0) and small tfloat32_t at idx(1)
using result_type = Array<tfloat32_t, 2>;
// source data type
using source_type = float;
// rounding styles for big and small part
static FloatRoundStyle const kRoundBig = RoundBig;
static FloatRoundStyle const kRoundSmall = RoundSmall;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
result_type result;
NumericConverter<tfloat32_t, float, kRoundBig> convert_big_;
NumericConverter<tfloat32_t, float, kRoundSmall> convert_small_;
// convert and fill tfloat32_t big at idx 0
result[0] = convert_big_(source);
// convert and fill tfloat32_t small at idx 1
result[1] = convert_small_(source - static_cast<float>(result[0]));
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Conversion and Clamp operator for Integers
//
/////////////////////////////////////////////////////////////////////////////////////////////////
template <
typename T,
typename S
>
struct NumericConverterClamp {
using result_type = T;
using source_type = S;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
NumericConverter<result_type, source_type> convert_op;
result_type const kClamp_max = platform::numeric_limits<result_type>::max();
result_type const kClamp_min = platform::numeric_limits<result_type>::lowest();
if (s < (source_type)kClamp_min)
return kClamp_min;
if (s > (source_type)kClamp_max)
return kClamp_max;
return convert_op(s);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
// This converter is needed to enable half_t output types when using int32_t accumulators.
// Since floating-point types do not require a clamp, this converter simply casts from
// the source type to half_t.
template <
typename S
>
struct NumericConverterClamp<cutlass::half_t, S> {
using result_type = cutlass::half_t;
using source_type = S;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const &source) {
return static_cast<cutlass::half_t>(source);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
//
// Conversion operator for Array
//
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Conversion operator for Array
template <
typename T,
typename S,
int N,
FloatRoundStyle Round = FloatRoundStyle::round_to_nearest,
typename Transform = cutlass::transform::thread::UnaryTransform::Identity
>
struct NumericArrayConverter {
using result_type = Array<T, N>;
using source_type = Array<S, N>;
static FloatRoundStyle const round_style = Round;
static_assert(platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Identity>::value ||
platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Conjugate>::value,
"Unary Operator not supported.");
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & s) {
result_type result;
NumericConverter<T, S, Round> convert_;
CUTLASS_PRAGMA_UNROLL
for (int i = 0; i < N; ++i) {
if (platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Identity>::value) {
result[i] = convert_(s[i]);
} else { // conjugate
result[i] = conj(convert_(s[i]));
}
}
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
template <
typename T,
int N,
FloatRoundStyle Round,
typename Transform
>
struct NumericArrayConverter<T, T, N, Round, Transform> {
using result_type = Array<T, N>;
using source_type = Array<T, N>;
static FloatRoundStyle const round_style = Round;
static_assert(platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Identity>::value ||
platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Conjugate>::value,
"Unary Operator not supported.");
CUTLASS_HOST_DEVICE
static result_type convert(source_type const &source) {
if (platform::is_same<Transform, cutlass::transform::thread::UnaryTransform::Identity>::value) {
return source;
} else {
result_type result;
for (int i = 0; i < N; ++i) {
result[i] = conj(source[i]);
}
return result;
}
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for Array<half, 2> <= Array<float, 2>, round to nearest
template <>
struct NumericArrayConverter<half_t, float, 2, FloatRoundStyle::round_to_nearest> {
using result_type = Array<half_t, 2>;
using source_type = Array<float, 2>;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
Array<half_t, 2> result;
#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 530)
reinterpret_cast<__half2 &>(result) = __float22half2_rn(reinterpret_cast<float2 const &>(source));
#else
NumericConverter<half_t, float, round_style> convert_;
result[0] = convert_(source[0]);
result[1] = convert_(source[1]);
#endif
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/// Partial specialization for Array<float, 2> <= Array<half_t, 2>, round to nearest
template <FloatRoundStyle Round>
struct NumericArrayConverter<float, half_t, 2, Round> {
using result_type = Array<float, 2>;
using source_type = Array<half_t, 2>;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
Array<float, 2> result;
#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 530)
reinterpret_cast<float2 &>(result) = __half22float2(reinterpret_cast<__half2 const &>(source));
#else
NumericConverter<float, half_t, round_style> convert_;
result[0] = convert_(source[0]);
result[1] = convert_(source[1]);
#endif
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for Array<half> <= Array<float>
template <
int N,
FloatRoundStyle Round
>
struct NumericArrayConverter<half_t, float, N, Round> {
using result_type = Array<half_t, N>;
using source_type = Array<float, N>;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
NumericArrayConverter<half_t, float, 2, Round> convert_vector_;
NumericConverter<half_t, float, Round> convert_element_;
result_type result;
Array<half_t, 2> *result_ptr = reinterpret_cast<Array<half_t, 2> *>(&result);
Array<float, 2> const *source_ptr = reinterpret_cast<Array<float, 2> const *>(&source);
CUTLASS_PRAGMA_UNROLL
for (int i = 0; i < N / 2; ++i) {
result_ptr[i] = convert_vector_(source_ptr[i]);
}
if (N % 2) {
result[N - 1] = convert_element_(source[N - 1]);
}
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/// Partial specialization for Array<half> <= Array<float>
template <
int N,
FloatRoundStyle Round
>
struct NumericArrayConverter<float, half_t, N, Round> {
using result_type = Array<float, N>;
using source_type = Array<half_t, N>;
static FloatRoundStyle const round_style = Round;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
NumericArrayConverter<float, half_t, 2, Round> convert_vector_;
NumericConverter<float, half_t, Round> convert_element_;
result_type result;
Array<float, 2> *result_ptr = reinterpret_cast<Array<float, 2> *>(&result);
Array<half_t, 2> const *source_ptr = reinterpret_cast<Array<half_t, 2> const *>(&source);
CUTLASS_PRAGMA_UNROLL
for (int i = 0; i < N / 2; ++i) {
result_ptr[i] = convert_vector_(source_ptr[i]);
}
if (N % 2) {
result[N - 1] = convert_element_(source[N - 1]);
}
return result;
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}
};
/////////////////////////////////////////////////////////////////////////////////////////////////
#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 800)
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Partial specialization for Array<bfloat16_t, 2> <= Array<float, 2>, round to nearest
template <>
struct NumericArrayConverter<bfloat16_t, float, 2, FloatRoundStyle::round_to_nearest> {
using result_type = Array<bfloat16_t, 2>;
using source_type = Array<float, 2>;
static FloatRoundStyle const round_style = FloatRoundStyle::round_to_nearest;
CUTLASS_HOST_DEVICE
static result_type convert(source_type const & source) {
unsigned d;
asm("cvt.rn.bf16x2.f32 %0, %1, %2;\n" : "=r"(d) : "f"(source[1]), "f"(source[0]) );
return reinterpret_cast<result_type const &>(d);
}
CUTLASS_HOST_DEVICE
result_type operator()(source_type const &s) const {
return convert(s);
}