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mma_sm90.hpp
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mma_sm90.hpp
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/***************************************************************************************************
* Copyright (c) 2023 - 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.
*
**************************************************************************************************/
#pragma once
#include <cute/config.hpp>
#include <cute/arch/mma.hpp>
// Config
#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 900)
# define CUTE_ARCH_MMA_SM90_ENABLED
# define CUTE_ARCH_MMA_F64_SM90_ENABLED
#endif
////////////////////////////////////////////////////////////////////////////////////////////////////
namespace cute {
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x4 TN
struct SM90_16x8x4_F64F64F64F64_TN
{
using DRegisters = double[4];
using ARegisters = double[2];
using BRegisters = double[1];
using CRegisters = double[4];
CUTE_HOST_DEVICE static void
fma(double & d0, double & d1, double & d2, double & d3,
double const& a0, double const& a1,
double const& b0,
double const& c0, double const& c1, double const& c2, double const& c3)
{
#if defined(CUTE_ARCH_MMA_F64_SM90_ENABLED)
asm volatile(
"mma.sync.aligned.m16n8k4.row.col.f64.f64.f64.f64"
"{%0, %1, %2, %3},"
"{%4, %5},"
"{%6},"
"{%7, %8, %9, %10};\n"
: "=d"(d0), "=d"(d1), "=d"(d2), "=d"(d3)
: "d"(a0), "d"(a1),
"d"(b0),
"d"(c0), "d"(c1), "d"(c2), "d"(c3));
#else
CUTE_RUNTIME_ASSERT("Attempting to use SM90_16x8x4_F64F64F64F64_TN without CUTE_ARCH_MMA_SM90_ENABLED");
#endif
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x8 TN
struct SM90_16x8x8_F64F64F64F64_TN
{
using DRegisters = double[4];
using ARegisters = double[4];
using BRegisters = double[2];
using CRegisters = double[4];
CUTE_HOST_DEVICE static void
fma(double & d0, double & d1, double & d2, double & d3,
double const& a0, double const& a1, double const& a2, double const& a3,
double const& b0, double const& b1,
double const& c0, double const& c1, double const& c2, double const& c3)
{
#if defined(CUTE_ARCH_MMA_F64_SM90_ENABLED)
asm volatile(
"mma.sync.aligned.m16n8k8.row.col.f64.f64.f64.f64"
"{%0, %1, %2, %3},"
"{%4, %5, %6, %7},"
"{%8, %9},"
"{%10, %11, %12, %13};\n"
: "=d"(d0), "=d"(d1), "=d"(d2), "=d"(d3)
: "d"(a0), "d"(a1), "d"(a2), "d"(a3),
"d"(b0), "d"(b1),
"d"(c0), "d"(c1), "d"(c2), "d"(c3));
#else
CUTE_RUNTIME_ASSERT("Attempting to use SM90_16x8x8_F64F64F64F64_TN without CUTE_ARCH_MMA_SM90_ENABLED");
#endif
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x16 TN
struct SM90_16x8x16_F64F64F64F64_TN
{
using DRegisters = double[4];
using ARegisters = double[8];
using BRegisters = double[4];
using CRegisters = double[4];
CUTE_HOST_DEVICE static void
fma(double & d0, double & d1, double & d2, double & d3,
double const& a0, double const& a1, double const& a2, double const& a3,
double const& a4, double const& a5, double const& a6, double const& a7,
double const& b0, double const& b1, double const& b2, double const& b3,
double const& c0, double const& c1, double const& c2, double const& c3)
{
#if defined(CUTE_ARCH_MMA_F64_SM90_ENABLED)
asm volatile(
"mma.sync.aligned.m16n8k16.row.col.f64.f64.f64.f64"
"{%0, %1, %2, %3},"
"{%4, %5, %6, %7, %8, %9, %10, %11},"
"{%12, %13, %14, %15},"
"{%16, %17, %18, %19};\n"
: "=d"(d0), "=d"(d1), "=d"(d2), "=d"(d3)
: "d"(a0), "d"(a1), "d"(a2), "d"(a3),
"d"(a4), "d"(a5), "d"(a6), "d"(a7),
"d"(b0), "d"(b1), "d"(b2), "d"(b3),
"d"(c0), "d"(c1), "d"(c2), "d"(c3));
#else
CUTE_RUNTIME_ASSERT("Attempting to use SM90_16x8x16_F64F64F64F64_TN without CUTE_ARCH_MMA_SM90_ENABLED");
#endif
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x4 TN
struct SM90_16x8x4_C64C64C64C64_TN
{
using DRegisters = complex<double>[4];
using ARegisters = complex<double>[2];
using BRegisters = complex<double>[1];
using CRegisters = complex<double>[4];
CUTE_HOST_DEVICE static void
fma(complex<double> & d0, complex<double> & d1,
complex<double> & d2, complex<double> & d3,
complex<double> const& a0, complex<double> const& a1,
complex<double> const& b0,
complex<double> const& c0, complex<double> const& c1,
complex<double> const& c2, complex<double> const& c3)
{
// Because thrust::complex does not provide a mutable ref
double& rd0 = reinterpret_cast<double(&)[2]>(d0)[0];
double& id0 = reinterpret_cast<double(&)[2]>(d0)[1];
double& rd1 = reinterpret_cast<double(&)[2]>(d1)[0];
double& id1 = reinterpret_cast<double(&)[2]>(d1)[1];
double& rd2 = reinterpret_cast<double(&)[2]>(d2)[0];
double& id2 = reinterpret_cast<double(&)[2]>(d2)[1];
double& rd3 = reinterpret_cast<double(&)[2]>(d3)[0];
double& id3 = reinterpret_cast<double(&)[2]>(d3)[1];
// d.real() = a.real() * b.real() + c.real();
SM90_16x8x4_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
a0.real(), a1.real(),
b0.real(),
c0.real(), c1.real(), c2.real(), c3.real());
// d.imag() = a.imag() * b.real() + c.imag();
SM90_16x8x4_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.imag(), a1.imag(),
b0.real(),
c0.imag(), c1.imag(), c2.imag(), c3.imag());
// d.real() = -a.imag() * b.imag() + d.real();
SM90_16x8x4_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
-a0.imag(), -a1.imag(),
b0.imag(),
d0.real(), d1.real(), d2.real(), d3.real());
// d.imag() = a.real() * b.imag() + d.imag();
SM90_16x8x4_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.real(), a1.real(),
b0.imag(),
d0.imag(), d1.imag(), d2.imag(), d3.imag());
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x8 TN
struct SM90_16x8x8_C64C64C64C64_TN
{
using DRegisters = complex<double>[4];
using ARegisters = complex<double>[4];
using BRegisters = complex<double>[2];
using CRegisters = complex<double>[4];
CUTE_HOST_DEVICE static void
fma(complex<double> & d0, complex<double> & d1,
complex<double> & d2, complex<double> & d3,
complex<double> const& a0, complex<double> const& a1,
complex<double> const& a2, complex<double> const& a3,
complex<double> const& b0, complex<double> const& b1,
complex<double> const& c0, complex<double> const& c1,
complex<double> const& c2, complex<double> const& c3)
{
// Because thrust::complex does not provide a mutable ref
double& rd0 = reinterpret_cast<double(&)[2]>(d0)[0];
double& id0 = reinterpret_cast<double(&)[2]>(d0)[1];
double& rd1 = reinterpret_cast<double(&)[2]>(d1)[0];
double& id1 = reinterpret_cast<double(&)[2]>(d1)[1];
double& rd2 = reinterpret_cast<double(&)[2]>(d2)[0];
double& id2 = reinterpret_cast<double(&)[2]>(d2)[1];
double& rd3 = reinterpret_cast<double(&)[2]>(d3)[0];
double& id3 = reinterpret_cast<double(&)[2]>(d3)[1];
// d.real() = a.real() * b.real() + c.real();
SM90_16x8x8_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
a0.real(), a1.real(), a2.real(), a3.real(),
b0.real(), b1.real(),
c0.real(), c1.real(), c2.real(), c3.real());
// d.imag() = a.imag() * b.real() + c.imag();
SM90_16x8x8_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.imag(), a1.imag(), a2.imag(), a3.imag(),
b0.real(), b1.real(),
c0.imag(), c1.imag(), c2.imag(), c3.imag());
// d.real() = -a.imag() * b.imag() + d.real();
SM90_16x8x8_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
-a0.imag(), -a1.imag(), -a2.imag(), -a3.imag(),
b0.imag(), b1.imag(),
d0.real(), d1.real(), d2.real(), d3.real());
// d.imag() = a.real() * b.imag() + d.imag();
SM90_16x8x8_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.real(), a1.real(), a2.real(), a3.real(),
b0.imag(), b1.imag(),
d0.imag(), d1.imag(), d2.imag(), d3.imag());
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// MMA 16x8x16 TN
struct SM90_16x8x16_C64C64C64C64_TN
{
using DRegisters = complex<double>[4];
using ARegisters = complex<double>[8];
using BRegisters = complex<double>[4];
using CRegisters = complex<double>[4];
CUTE_HOST_DEVICE static void
fma(complex<double> & d0, complex<double> & d1,
complex<double> & d2, complex<double> & d3,
complex<double> const& a0, complex<double> const& a1,
complex<double> const& a2, complex<double> const& a3,
complex<double> const& a4, complex<double> const& a5,
complex<double> const& a6, complex<double> const& a7,
complex<double> const& b0, complex<double> const& b1,
complex<double> const& b2, complex<double> const& b3,
complex<double> const& c0, complex<double> const& c1,
complex<double> const& c2, complex<double> const& c3)
{
// Because thrust::complex does not provide a mutable ref
double& rd0 = reinterpret_cast<double(&)[2]>(d0)[0];
double& id0 = reinterpret_cast<double(&)[2]>(d0)[1];
double& rd1 = reinterpret_cast<double(&)[2]>(d1)[0];
double& id1 = reinterpret_cast<double(&)[2]>(d1)[1];
double& rd2 = reinterpret_cast<double(&)[2]>(d2)[0];
double& id2 = reinterpret_cast<double(&)[2]>(d2)[1];
double& rd3 = reinterpret_cast<double(&)[2]>(d3)[0];
double& id3 = reinterpret_cast<double(&)[2]>(d3)[1];
// d.real() = a.real() * b.real() + c.real();
SM90_16x8x16_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
a0.real(), a1.real(), a2.real(), a3.real(),
a4.real(), a5.real(), a6.real(), a7.real(),
b0.real(), b1.real(), b2.real(), b3.real(),
c0.real(), c1.real(), c2.real(), c3.real());
// d.imag() = a.imag() * b.real() + c.imag();
SM90_16x8x16_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.imag(), a1.imag(), a2.imag(), a3.imag(),
a4.imag(), a5.imag(), a6.imag(), a7.imag(),
b0.real(), b1.real(), b2.real(), b3.real(),
c0.imag(), c1.imag(), c2.imag(), c3.imag());
// d.real() = -a.imag() * b.imag() + d.real();
SM90_16x8x16_F64F64F64F64_TN::fma(
rd0, rd1, rd2, rd3,
-a0.imag(), -a1.imag(), -a2.imag(), -a3.imag(),
-a4.imag(), -a5.imag(), -a6.imag(), -a7.imag(),
b0.imag(), b1.imag(), b2.imag(), b3.imag(),
d0.real(), d1.real(), d2.real(), d3.real());
// d.imag() = a.real() * b.imag() + d.imag();
SM90_16x8x16_F64F64F64F64_TN::fma(
id0, id1, id2, id3,
a0.real(), a1.real(), a2.real(), a3.real(),
a4.real(), a5.real(), a6.real(), a7.real(),
b0.imag(), b1.imag(), b2.imag(), b3.imag(),
d0.imag(), d1.imag(), d2.imag(), d3.imag());
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
} // namespace cute
////////////////////////////////////////////////////////////////////////////////////////////////////
#include <cute/arch/mma_sm90_desc.hpp>
#include <cute/arch/mma_sm90_gmma.hpp>
////////////////////////////////////////////////////////////////////////////////////////////////////
namespace cute {
namespace GMMA {
template <
class ElementA,
class ElementB,
class ElementC,
class TileShape_MNK,
GMMA::Major MajorA = GMMA::Major::K,
GMMA::Major MajorB = GMMA::Major::K,
auto... Args // e.g. GMMA::ScaleOut::One, [GMMA::ScaleIn::One, GMMA::ScaleIn::One]
// But most commonly leave empty for defaults
>
CUTE_HOST_DEVICE constexpr
auto
ss_op_selector()
{
static_assert(is_static<TileShape_MNK>::value, "TileShape_MNK must be static.");
static_assert(rank(TileShape_MNK{}) == 3, "TileShape_MNK must be rank 3.");
static_assert(size<0>(TileShape_MNK{}) % 64 == 0, "Tile_M must be a multiple of 64.");
auto Tile_N = size<1>(TileShape_MNK{});
// FP16 accumulator
if constexpr (is_same_v<ElementC, half_t>) {
static_assert(is_same_v<ElementA, half_t>, "Element types for AB must be half if ElementC is half.");
static_assert(is_same_v<ElementB, half_t>, "Element types for AB must be half if ElementC is half.");
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
// Dispatch against the Tile N mode size
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F16F16F16_SS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP32 accumulator
else if constexpr (is_same_v<ElementC, float>) {
// FP16 inputs
if constexpr (is_same_v<ElementA, half_t>) {
static_assert(is_same_v<ElementA, ElementB>, "ElementA and ElementB must be the same type for this config.");
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F32F16F16_SS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// BF16 inputs
else if constexpr (is_same_v<ElementA, bfloat16_t>) {
static_assert(is_same_v<ElementA, ElementB>, "ElementA and ElementB must be the same type for this config.");
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F32BF16BF16_SS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// TF32 inputs
else if constexpr (is_same_v<ElementA, tfloat32_t>) {
static_assert(is_same_v<ElementA, ElementB>, "ElementA and ElementB must be the same type for this config.");
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 8 == 0, "Tile_K must be a multiple of 8.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x8_F32TF32TF32_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x8_F32TF32TF32_SS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e4m3_t ; Input B: float_e4m3_t
else if constexpr (is_same_v<ElementA, float_e4m3_t> && is_same_v<ElementB, float_e4m3_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_F32E4M3E4M3_SS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e4m3_t ; Input B: float_e5m2_t
else if constexpr (is_same_v<ElementA, float_e4m3_t> && is_same_v<ElementB, float_e5m2_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_F32E4M3E5M2_SS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e5m2_t ; Input B: float_e5m2_t
else if constexpr (is_same_v<ElementA, float_e5m2_t> && is_same_v<ElementB, float_e5m2_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_F32E5M2E5M2_SS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e5m2_t ; Input B: float_e4m3_t
else if constexpr (is_same_v<ElementA, float_e5m2_t> && is_same_v<ElementB, float_e4m3_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_F32E5M2E4M3_SS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
else {
static_assert(sizeof(ElementA) == 0, "No eligible GMMA operator for request configuration.");
}
}
// S32 accumulator
else if constexpr (is_same_v<ElementC, int32_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
// ElementA == int8_t && ElementB == int8_t
if constexpr (is_same_v<ElementA, int8_t> && is_same_v<ElementB, int8_t>) {
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_S32S8S8_SS_TN{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_S32S8S8_SS_TN{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// ElementA == int8_t && ElementB == uint8_t
else if constexpr (is_same_v<ElementA, int8_t> && is_same_v<ElementB, uint8_t>) {
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_S32S8U8_SS_TN{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_S32S8U8_SS_TN{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// ElementA == uint8_t && ElementB == int8_t
else if constexpr (is_same_v<ElementA, uint8_t> && is_same_v<ElementB, int8_t>) {
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_S32U8S8_SS_TN{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_S32U8S8_SS_TN{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// ElementA == uint8_t && ElementB == uint8_t
else if constexpr (is_same_v<ElementA, uint8_t> && is_same_v<ElementB, uint8_t>) {
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_S32U8U8_SS_TN{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_S32U8U8_SS_TN{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
}
// Unknown accumulator type
else {
static_assert(sizeof(ElementC) == 0, "Unknown ElementC accumulator type.");
}
}
template <
class ElementA,
class ElementB,
class ElementC,
class TileShape_MNK,
GMMA::Major MajorA = GMMA::Major::K,
GMMA::Major MajorB = GMMA::Major::K,
auto... Args // e.g. GMMA::ScaleOut::One, [GMMA::ScaleIn::One, GMMA::ScaleIn::One]
// But most commonly leave empty for defaults
>
CUTE_HOST_DEVICE constexpr
auto
rs_op_selector()
{
static_assert(is_static<TileShape_MNK>::value, "TileShape_MNK must be static.");
static_assert(rank(TileShape_MNK{}) == 3, "TileShape_MNK must be rank 3.");
static_assert(size<0>(TileShape_MNK{}) % 64 == 0, "Tile_M must be a multiple of 64.");
static_assert(MajorA == GMMA::Major::K, "Register source A operand GMMAs must have K-major A layout.");
auto Tile_N = size<1>(TileShape_MNK{});
// FP16 accumulator
if constexpr (is_same_v<ElementC, half_t>) {
static_assert(is_same_v<ElementA, half_t>, "Element types for AB must be half if ElementC is half.");
static_assert(is_same_v<ElementB, half_t>, "Element types for AB must be half if ElementC is half.");
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
// Dispatch against the Tile N mode size
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F16F16F16_RS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP32 accumulator
else if constexpr (is_same_v<ElementC, float>) {
static_assert(is_same_v<ElementA, ElementB>, "ElementA and ElementB must be the same type for this config.");
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
// FP16 inputs
if constexpr (is_same_v<ElementA, half_t>) {
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F32F16F16_RS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// BF16 inputs
else if constexpr (is_same_v<ElementA, bfloat16_t>) {
static_assert(size<2>(TileShape_MNK{}) % 16 == 0, "Tile_K must be a multiple of 16.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x16_F32BF16BF16_RS<MajorA, MajorB, Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// TF32 inputs
else if constexpr (is_same_v<ElementA, tfloat32_t>) {
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 8 == 0, "Tile_K must be a multiple of 8.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x8_F32TF32TF32_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x8_F32TF32TF32_RS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e4m3_t ; Input B: float_e4m3_t
else if constexpr (is_same_v<ElementA, float_e4m3_t> && is_same_v<ElementB, float_e4m3_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");
if constexpr (Tile_N % 256 == 0) {
return SM90_64x256x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 192 == 0) {
return SM90_64x192x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 128 == 0) {
return SM90_64x128x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 96 == 0) {
return SM90_64x96x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 64 == 0) {
return SM90_64x64x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 32 == 0) {
return SM90_64x32x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 16 == 0) {
return SM90_64x16x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else if constexpr (Tile_N % 8 == 0) {
return SM90_64x8x32_F32E4M3E4M3_RS_TN<Args...>{};
}
else {
static_assert(Tile_N % 8 == 0, "Tile_N must be a multiple of 8.");
}
}
// FP8
// Input A: float_e4m3_t ; Input B: float_e5m2_t
else if constexpr (is_same_v<ElementA, float_e4m3_t> && is_same_v<ElementB, float_e5m2_t>) {
static_assert(MajorA == GMMA::Major::K, "MajorA must be GMMA::Major::K for this config.");
static_assert(MajorB == GMMA::Major::K, "MajorB must be GMMA::Major::K for this config.");
static_assert(size<2>(TileShape_MNK{}) % 32 == 0, "Tile_K must be a multiple of 32.");