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mma_traits_sm90_gmma.hpp
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/***************************************************************************************************
* Copyright (c) 2023 - 2025 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/pointer_flagged.hpp> // cute::smem_ptr_flag
#include <cute/pointer_sparse.hpp> // cute::smem_sparse_ptr_flag
#include <cute/swizzle.hpp> // cute::Swizzle
#include <cute/tensor_impl.hpp> // cute::Tensor
#include <cute/arch/mma_sm90_desc.hpp> // cute::LayoutType
#include <cute/arch/mma_sm90_gmma.hpp> // cute::SM90_64x8x16_F16F16F16_SS, etc
#include <cute/atom/mma_traits.hpp> // cute::MMA_Traits
#include <cute/layout_composed.hpp> // cute::ComposedLayout
#include <cute/numeric/integral_constant.hpp> // cute::is_static
namespace cute {
// Fence between the async destination accumulators of GMMA & source for their dependent use
template <class Engine, class Layout>
CUTE_HOST_DEVICE
void
warpgroup_fence_operand(Tensor<Engine, Layout>& frg) {
CUTE_STATIC_ASSERT(is_static<Layout>::value);
if constexpr (is_same_v<typename Engine::value_type, float>) {
auto f32_frg = recast<float>(frg);
CUTE_UNROLL
for (int i = 0; i < size(f32_frg); ++i) {
warpgroup_fence_operand(f32_frg(i));
}
}
else {
CUTE_STATIC_ASSERT(is_rmem<Engine>::value);
auto u32_frg = recast<uint32_t>(frg);
CUTE_UNROLL
for (int i = 0; i < size(u32_frg); ++i) {
warpgroup_fence_operand(u32_frg(i));
}
}
}
namespace SM90::GMMA {
///////////////////////////////////////////
// Common layouts for GMMA Shared Memory //
///////////////////////////////////////////
// M|N-major GMMA layouts in units of bits
using Layout_MN_INTER_Atom_Bits = ComposedLayout<Swizzle<0,4,3>, smem_ptr_flag, Layout<Shape< _128,_8>,Stride<_1, _128>>>;
using Layout_MN_SW32_Atom_Bits = ComposedLayout<Swizzle<1,4,3>, smem_ptr_flag, Layout<Shape< _256,_8>,Stride<_1, _256>>>;
using Layout_MN_SW64_Atom_Bits = ComposedLayout<Swizzle<2,4,3>, smem_ptr_flag, Layout<Shape< _512,_8>,Stride<_1, _512>>>;
using Layout_MN_SW128_Atom_Bits = ComposedLayout<Swizzle<3,4,3>, smem_ptr_flag, Layout<Shape<_1024,_8>,Stride<_1,_1024>>>;
// K-major GMMA layouts in units of bits
using Layout_K_INTER_Atom_Bits = ComposedLayout<Swizzle<0,4,3>, smem_ptr_flag, Layout<Shape<_8, _128>,Stride< _128,_1>>>;
using Layout_K_SW32_Atom_Bits = ComposedLayout<Swizzle<1,4,3>, smem_ptr_flag, Layout<Shape<_8, _256>,Stride< _256,_1>>>;
using Layout_K_SW64_Atom_Bits = ComposedLayout<Swizzle<2,4,3>, smem_ptr_flag, Layout<Shape<_8, _512>,Stride< _512,_1>>>;
using Layout_K_SW128_Atom_Bits = ComposedLayout<Swizzle<3,4,3>, smem_ptr_flag, Layout<Shape<_8,_1024>,Stride<_1024,_1>>>;
// M|N-major layouts in units of Type
template <class Type>
using Layout_MN_INTER_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_MN_INTER_Atom_Bits{}));
template <class Type>
using Layout_MN_SW32_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_MN_SW32_Atom_Bits{}));
template <class Type>
using Layout_MN_SW64_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_MN_SW64_Atom_Bits{}));
template <class Type>
using Layout_MN_SW128_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_MN_SW128_Atom_Bits{}));
// K-major layouts in units of Type
template <class Type>
using Layout_K_INTER_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_K_INTER_Atom_Bits{}));
template <class Type>
using Layout_K_SW32_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_K_SW32_Atom_Bits{}));
template <class Type>
using Layout_K_SW64_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_K_SW64_Atom_Bits{}));
template <class Type>
using Layout_K_SW128_Atom = decltype(upcast<sizeof_bits<Type>::value>(Layout_K_SW128_Atom_Bits{}));
// With GMMA::Major param
template <class Type, Major tnsp>
using Layout_INTER_Atom = typename conditional<tnsp == Major::MN,
Layout_MN_INTER_Atom<Type>,
Layout_K_INTER_Atom<Type>>::type;
template <class Type, Major tnsp>
using Layout_SW32_Atom = typename conditional<tnsp == Major::MN,
Layout_MN_SW32_Atom<Type>,
Layout_K_SW32_Atom<Type>>::type;
template <class Type, Major tnsp>
using Layout_SW64_Atom = typename conditional<tnsp == Major::MN,
Layout_MN_SW64_Atom<Type>,
Layout_K_SW64_Atom<Type>>::type;
template <class Type, Major tnsp>
using Layout_SW128_Atom = typename conditional<tnsp == Major::MN,
Layout_MN_SW128_Atom<Type>,
Layout_K_SW128_Atom<Type>>::type;
//
// Tensor (position-dependent swizzle) to LayoutType utility
//
template <class Engine, class Shape, class Stride>
CUTE_HOST_DEVICE constexpr
LayoutType
layout_type(Tensor<Engine, Layout<Shape,Stride>> const&)
{
static_assert(is_same<uint128_t, typename Engine::value_type>::value,
"Expected uint128_t type in LayoutType conversion.");
using Swizzle = get_swizzle_t<Engine>;
constexpr int B = Swizzle::num_bits;
constexpr int M = Swizzle::num_base;
constexpr int S = Swizzle::num_shft;
static_assert(M == 4, "Unsupported layout swizzle");
static_assert(0 <= B && B <= 3, "Unsupported layout swizzle");
static_assert(S == 3, "Unsupported layout swizzle");
switch (B) {
case 0: return LayoutType::INTERLEAVE;
case 1: return LayoutType::B32;
case 2: return LayoutType::B64;
case 3: return LayoutType::B128;
}
return LayoutType::INTERLEAVE; // ERROR
}
///////////////////////////////////////////////////////////////////////////////
// Construction method for GMMA Descriptors
///////////////////////////////////////////////////////////////////////////////
/**
* ///////////////////////////////
* // make_gmma_desc<Major::MN> //
* ///////////////////////////////
* Each GmmaDescriptor Major-MN describes a canonical layout of the form
*
* LayoutType::INTERLEAVE : Swizzle<0,4,3> o smem_ptr o ((T,1,m),(8,k)):((1,T,SBO),(1T,LBO))
* LayoutType::B32 : Swizzle<1,4,3> o smem_ptr o ((T,2,m),(8,k)):((1,T,LBO),(2T,SBO))
* LayoutType::B64 : Swizzle<2,4,3> o smem_ptr o ((T,4,m),(8,k)):((1,T,LBO),(4T,SBO))
* LayoutType::B128 : Swizzle<3,4,3> o smem_ptr o ((T,8,m),(8,k)):((1,T,LBO),(8T,SBO))
*
* where
* T : sizeof(uint128_t) / sizeof(value_type)
* m : integer in [1,16] corresponding to GMMA shape
* k : integer in [1,32] corresponding to GMMA shape
* SBO: stride byte offset
* LBO: leading byte offset
*
* See GMMA::Layout_MN_XXX_Atom<value_type> for building canonical GmmaDescriptor Major-MN layouts.
* For example,
* auto smem_layout = tile_to_shape(Layout_MN_SW128_Atom<value_type>{}, Shape<_128,_64>{});
* is guaranteed to be accepted by make_gmma_desc<Major::MN> for appropriate value_type.
*
* //////////////////////////////
* // make_gmma_desc<Major::K> //
* //////////////////////////////
* Each GmmaDescriptor Major-K describes a canonical layout of the form
*
* LayoutType::INTERLEAVE : Swizzle<0,4,3> o smem_ptr o ((8,m),(T,2)):((1T,SBO),(1,LBO))
* LayoutType::B32 : Swizzle<1,4,3> o smem_ptr o ((8,m),(T,2)):((2T,SBO),(1, T ))
* LayoutType::B64 : Swizzle<2,4,3> o smem_ptr o ((8,m),(T,2)):((4T,SBO),(1, T ))
* LayoutType::B128 : Swizzle<3,4,3> o smem_ptr o ((8,m),(T,2)):((8T,SBO),(1, T ))
*
* See GMMA::Layout_K_XXX_Atom<value_type> for building canonical GmmaDescriptor Major-K layouts.
* For example,
* auto smem_layout = tile_to_shape(Layout_K_SW128_Atom<value_type>{}, Shape<_128,_64>{});
* is guaranteed to be accepted by make_gmma_desc<Major::K> for appropriate value_type.
*/
template <Major MajorMode, class TEngine, class TLayout>
CUTE_HOST_DEVICE constexpr
GmmaDescriptor
make_gmma_desc(Tensor<TEngine,TLayout> const& tensor)
{
static_assert(is_smem<TEngine>::value, "GMMA Descriptors can only be constructed on smem.");
static_assert(TLayout::rank == 2, "GMMA Descriptors can only be constructed on rank-2 tensors.");
using value_type = typename TEngine::value_type;
Tensor u128_tensor = recast<uint128_t const>(tensor);
// Result
GmmaDescriptor desc;
// Layout type
constexpr LayoutType LAYOUT_TYPE = layout_type(u128_tensor);
desc.bitfield.layout_type_ = uint8_t(LAYOUT_TYPE);
// Start address (4LSB not included)
uint32_t start_address = cast_smem_ptr_to_uint(raw_pointer_cast(u128_tensor.data()));
desc.bitfield.start_address_ = static_cast<uint16_t>(start_address >> 4);
constexpr uint8_t base_offset = 0;
desc.bitfield.base_offset_ = base_offset;
// LayoutType meta
constexpr int W = LAYOUT_TYPE == LayoutType::INTERLEAVE ? 1 :
LAYOUT_TYPE == LayoutType::B32 ? 2 :
LAYOUT_TYPE == LayoutType::B64 ? 4 :
LAYOUT_TYPE == LayoutType::B128 ? 8 : -1;
if constexpr (MajorMode == Major::MN)
{
/* In units of uint128_t, each GmmaDescriptor Major-MN describes a canonical layout of the form
*
* LayoutType::INTERLEAVE : Swizzle<0,4,3> o smem_ptr o ((1,n),(8,k)):((X,SBO),(1,LBO))
* LayoutType::B32 : Swizzle<1,4,3> o smem_ptr o ((2,n),(8,k)):((1,LBO),(2,SBO))
* LayoutType::B64 : Swizzle<2,4,3> o smem_ptr o ((4,n),(8,k)):((1,LBO),(4,SBO))
* LayoutType::B128 : Swizzle<3,4,3> o smem_ptr o ((8,n),(8,k)):((1,LBO),(8,SBO))
*/
static_assert(size<1>(u128_tensor) == Int<(256 / cute::sizeof_bits<value_type>::value)>{} || // A and B in dense MMA
size<1>(u128_tensor) == Int<(128 / cute::sizeof_bits<value_type>::value)>{} || // A in sparse MMA
size<1>(u128_tensor) == Int<(512 / cute::sizeof_bits<value_type>::value)>{}, // B in sparse MMA
"Not a canonical GMMA_MN Layout: Expected K-size 256/sizeof_bits<T> for dense or (128|512)/sizeof_bits<T> for sparse.");
// Construct the canonical GMMA T Layout with shape ((W,n),(8,2))
Layout canonical_layout = logical_divide(layout(u128_tensor), Tile<Layout<Int<W>,_1>,Layout<Int<8>,_1>>{});
// Check profile of canonical
CUTE_STATIC_ASSERT_V(congruent(canonical_layout, Shape<Shape<_1,_1>,Shape<_1,_1>>{}), "Not a canonical GMMA_MN Layout: Expected profile failure.");
// Check canonical mode strides
constexpr uint32_t stride_00 = stride<0,0>(canonical_layout);
constexpr uint32_t expected_stride_00 = LAYOUT_TYPE == LayoutType::INTERLEAVE ? stride<0,0>(canonical_layout) : 1;
static_assert(stride_00 == expected_stride_00, "Not a canonical GMMA_MN Layout: Expected stride failure.");
constexpr uint32_t stride_10 = stride<1,0>(canonical_layout);
constexpr uint32_t expected_stride_10 = W;
static_assert(stride_10 == expected_stride_10, "Not a canonical GMMA_MN Layout: Expected stride failure.");
// stride dimension byte offset and leading dimension byte offset (4LSB not included == uint128_t units)
constexpr uint32_t stride_01 = stride<0,1>(canonical_layout);
constexpr uint32_t stride_11 = stride<1,1>(canonical_layout);
desc.bitfield.stride_byte_offset_ = (LAYOUT_TYPE == LayoutType::INTERLEAVE) ? stride_01 : stride_11;
desc.bitfield.leading_byte_offset_ = (LAYOUT_TYPE == LayoutType::INTERLEAVE) ? stride_11 : stride_01;
}
else if constexpr (MajorMode == Major::K)
{
/* In units of uint128_t, each GmmaDescriptor Major-K describes a canonical layout of the form
*
* LayoutType::INTERLEAVE : Swizzle<0,4,3> o smem_ptr o ((8,n),2):((1,SBO),LBO)
* LayoutType::B32 : Swizzle<1,4,3> o smem_ptr o ((8,n),2):((2,SBO),1)
* LayoutType::B64 : Swizzle<2,4,3> o smem_ptr o ((8,n),2):((4,SBO),1)
* LayoutType::B128 : Swizzle<3,4,3> o smem_ptr o ((8,n),2):((8,SBO),1)
*/
CUTE_STATIC_ASSERT_V(size<0>(u128_tensor) % Int<8>{} == Int<0>{}, // N|M size
"Not a canonical GMMA_K Layout: Expected MN-size multiple of 8.");
CUTE_STATIC_ASSERT_V(size<1>(u128_tensor) == Int<2>{} || size<1>(u128_tensor) == Int<4>{}, // K size
"Not a canonical GMMA_K Layout: Expected K-size 2 for dense or 4 for sparse (in units of uint128_t).");
// Construct the canonical GMMA N Layout with shape ((8,n),(2,1))
Layout canonical_layout = logical_divide(layout(u128_tensor), Tile<Layout<_8,_1>,Layout<_2,_1>>{});
// Check profile of canonical
CUTE_STATIC_ASSERT_V(congruent(canonical_layout, Shape<Shape<_1,_1>,Shape<_1,_1>>{}), "Not a canonical GMMA_K Layout: Expected profile failure.");
// Check canonical mode strides
constexpr uint32_t stride_00 = stride<0,0>(canonical_layout);
constexpr uint32_t expected_stride_00 = W;
static_assert(stride_00 == expected_stride_00, "Not a canonical GMMA_K Layout: Expected stride failure.");
constexpr uint32_t stride_10 = stride<1,0>(canonical_layout);
constexpr uint32_t expected_stride_10 = (LAYOUT_TYPE == LayoutType::INTERLEAVE) ? stride<1,0>(canonical_layout) : 1;
static_assert(stride_10 == expected_stride_10, "Not a canonical GMMA_K Layout: Expected stride failure.");
// stride dimension byte offset and leading dimension byte offset (4LSB not included == uint128_t units)
constexpr uint32_t stride_01 = stride<0,1>(canonical_layout);
desc.bitfield.stride_byte_offset_ = stride_01;
desc.bitfield.leading_byte_offset_ = stride_10;
} else {
static_assert(MajorMode != Major::MN && MajorMode != Major::K, "Unrecognized MajorMode!");
}
return desc;
}
///////////////////////////////////////////////////////////////////////////////
// Higher level GMMA Descriptor utilities
///////////////////////////////////////////////////////////////////////////////
struct DescriptorIterator
{
using reference = GmmaDescriptor;
using element_type = GmmaDescriptor;
using value_type = GmmaDescriptor;
GmmaDescriptor desc_;
// Dereference returns the GmmaDescriptor
CUTE_HOST_DEVICE constexpr
reference operator*() const { return desc_; }
// Advance and return a new GmmaDescriptor
template <class Index>
CUTE_HOST_DEVICE constexpr
reference operator[](Index const& i) const { return *(*this + i); }
// Return an advanced iterator
template <class Index>
CUTE_HOST_DEVICE constexpr
DescriptorIterator operator+(Index const& offset) const
{
return { GmmaDescriptor{desc_ + uint64_t(offset)} };
}
};
template <class T>
CUTE_HOST_DEVICE constexpr
GmmaDescriptor
raw_pointer_cast(DescriptorIterator const& ptr) {
return ptr.desc_;
}
// Recast a DescriptorIterator Tensor to uint64_t, it's RegType in mma_unpack
template <class NewT>
CUTE_HOST_DEVICE constexpr
DescriptorIterator
recast_ptr(DescriptorIterator const& iter) {
static_assert(is_same<NewT, uint64_t>::value, "Can only cast GmmaDescriptorIterator to uint64_t.");
return iter; // Do nothing, it will still dereference to GmmaDescriptor and decay to uint64_t
}
CUTE_HOST_DEVICE void
print(DescriptorIterator) {
printf("GMMA::DescriptorIterator");
}
// The GMMA Traits below have custom fragment type flags for their smem desc tensors.
// These flags specialize a MakeTensor customization point to correctly make the fragment that is desired.
template <Major>
struct smem_desc : DescriptorIterator {};
} // end namespace SM90::GMMA
// Customization point for creating a GMMA::smem_desc Tensor
template <SM90::GMMA::Major MajorMode>
struct MakeTensor<SM90::GMMA::smem_desc<MajorMode>>
{
template <class TEngine, class TLayout>
CUTE_HOST_DEVICE constexpr auto
operator()(Tensor<TEngine,TLayout> const& smem_tensor)
{
static_assert(is_smem<TEngine>::value, "Expected SMEM Tensor to construct a GMMA Desc Tensor");
return make_tensor(SM90::GMMA::DescriptorIterator{SM90::GMMA::make_gmma_desc<MajorMode>(tensor<0>(smem_tensor))},
replace<0>(recast<uint128_t const>(smem_tensor).layout(), Layout<_1,_0>{}));
}
};
///////////////////////////////////////////////////////////////////////////////
//////////////////////////// MMA_TRAITS ///////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
namespace SM90::GMMA {
//
// Specialized mma_unpack implementation for SM90 GMMA instructions
//
template <class MMA_Op, class... MMA_Args,
class TD, class DLayout,
class TA, class ALayout,
class TB, class BLayout,
class TC, class CLayout>
CUTE_HOST_DEVICE constexpr
void
mma_unpack(MMA_Traits<MMA_Op, MMA_Args...> const& traits,
Tensor<TD, DLayout> & D,
Tensor<TA, ALayout> const& A,
Tensor<TB, BLayout> const& B,
Tensor<TC, CLayout> const& C)
{
static_assert(is_rmem<TD>::value, "Expected registers in MMA_Atom::call");
static_assert(is_rmem<TA>::value, "Expected registers in MMA_Atom::call");
static_assert(is_rmem<TB>::value, "Expected registers in MMA_Atom::call");
static_assert(is_rmem<TC>::value, "Expected registers in MMA_Atom::call");
// Register value types from the MMA_Operation register arrays
using RegTypeA = typename remove_extent<typename MMA_Op::ARegisters>::type;
using RegTypeB = typename remove_extent<typename MMA_Op::BRegisters>::type;
using RegTypeC = typename remove_extent<typename MMA_Op::CRegisters>::type;
// SM90 GMMA take three arguments rather than four, try to assert C and D are aliased
static_assert(is_same<typename TD::value_type, typename TC::value_type>::value, "GMMA C and D value_type must match.");
static_assert(is_same<DLayout, CLayout>::value, "GMMA C and D layouts must match.");
// assert((void*)&C == (void*)&D);
Tensor rA = recast<RegTypeA>(A);
Tensor rB = recast<RegTypeB>(B);
Tensor rC = recast<RegTypeC>(D); // NOTE: D and C are same, so use mutable D
constexpr int RegNumA = extent<typename MMA_Op::ARegisters>::value;
constexpr int RegNumB = extent<typename MMA_Op::BRegisters>::value;
constexpr int RegNumC = extent<typename MMA_Op::CRegisters>::value;
CUTE_STATIC_ASSERT_V(size(rA) == Int<RegNumA>{});
CUTE_STATIC_ASSERT_V(size(rB) == Int<RegNumB>{});
CUTE_STATIC_ASSERT_V(size(rC) == Int<RegNumC>{});
detail::explode(MMA_Op::fma,
rA, make_int_sequence<RegNumA>{},
rB, make_int_sequence<RegNumB>{},
rC, make_int_sequence<RegNumC>{},
&(traits.accumulate_), seq<0>{});
}
// Accumulator layouts
template<int N>
using CLayout_64xN = Layout<Shape <Shape < _4,_8, _4>,Shape < _2,_2,Int<N/8>>>,
Stride<Stride<_128,_1,_16>,Stride<_64,_8, _512>>>;
using CLayout_64x8 = CLayout_64xN< 8>;
using CLayout_64x16 = CLayout_64xN< 16>;
using CLayout_64x32 = CLayout_64xN< 32>;
using CLayout_64x64 = CLayout_64xN< 64>;
using CLayout_64x96 = CLayout_64xN< 96>;
using CLayout_64x128 = CLayout_64xN<128>;
using CLayout_64x192 = CLayout_64xN<192>;
using CLayout_64x256 = CLayout_64xN<256>;
// Register source layout for 32-bit value types
using ALayout_64x8 = Layout<Shape <Shape < _4,_8, _4>,Shape < _2, _2>>,
Stride<Stride< _64,_1,_16>,Stride< _8,_256>>>;
// Register source layout for 16-bit (sparse 32-bit) value types
using ALayout_64x16 = Layout<Shape <Shape < _4,_8, _4>,Shape < _2,_2, _2>>,
Stride<Stride<_128,_1,_16>,Stride<_64,_8,_512>>>;
// Register source layout for 8-bit (sparse 16-bit) value types
using ALayout_64x32 = Layout<Shape <Shape < _4,_8, _4>,Shape < _4,_2, _2>>,
Stride<Stride<_256,_1,_16>,Stride<_64,_8,_1024>>>;
// Register source layout for sparse 8-bit value types
using ALayout_64x64 = Layout<Shape <Shape < _4,_8, _4>,Shape < _8,_2, _2>>,
Stride<Stride<_512,_1,_16>,Stride<_64,_8,_2048>>>;
// Shared memory source layouts for any value type
template <int M, int K>
using ABLayout = Layout<Shape <_128,Shape <Int<M>,Int<K>>>,
Stride< _0,Stride< _1,Int<M>>>>;
} // end namespace SM90::GMMA
using namespace SM90;
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x8x16_F16F16F16_SS = SM90::GMMA::MMA_64x8x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x8x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_8,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 8, 16>;
using CLayout = GMMA::CLayout_64x8;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x8x16_F16F16F16_RS = SM90::GMMA::MMA_64x8x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x8x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_8,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 8, 16>;
using CLayout = GMMA::CLayout_64x8;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x16x16_F16F16F16_SS = SM90::GMMA::MMA_64x16x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x16x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_16,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 16, 16>;
using CLayout = GMMA::CLayout_64x16;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x16x16_F16F16F16_RS = SM90::GMMA::MMA_64x16x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x16x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_16,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 16, 16>;
using CLayout = GMMA::CLayout_64x16;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x32x16_F16F16F16_SS = SM90::GMMA::MMA_64x32x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x32x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_32,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 32, 16>;
using CLayout = GMMA::CLayout_64x32;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x32x16_F16F16F16_RS = SM90::GMMA::MMA_64x32x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x32x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_32,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 32, 16>;
using CLayout = GMMA::CLayout_64x32;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x64x16_F16F16F16_SS = SM90::GMMA::MMA_64x64x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x64x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_64,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 64, 16>;
using CLayout = GMMA::CLayout_64x64;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x64x16_F16F16F16_RS = SM90::GMMA::MMA_64x64x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x64x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_64,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 64, 16>;
using CLayout = GMMA::CLayout_64x64;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x96x16_F16F16F16_SS = SM90::GMMA::MMA_64x96x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x96x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_96,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 96, 16>;
using CLayout = GMMA::CLayout_64x96;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x96x16_F16F16F16_RS = SM90::GMMA::MMA_64x96x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x96x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_96,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 96, 16>;
using CLayout = GMMA::CLayout_64x96;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x128x16_F16F16F16_SS = SM90::GMMA::MMA_64x128x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x128x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_128,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout<128, 16>;
using CLayout = GMMA::CLayout_64x128;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x128x16_F16F16F16_RS = SM90::GMMA::MMA_64x128x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x128x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_128,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout<128, 16>;
using CLayout = GMMA::CLayout_64x128;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x192x16_F16F16F16_SS = SM90::GMMA::MMA_64x192x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x192x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_192,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout<192, 16>;
using CLayout = GMMA::CLayout_64x192;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x192x16_F16F16F16_RS = SM90::GMMA::MMA_64x192x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x192x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_192,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout<192, 16>;
using CLayout = GMMA::CLayout_64x192;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x256x16_F16F16F16_SS = SM90::GMMA::MMA_64x256x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x256x16_F16F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_256,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout<256, 16>;
using CLayout = GMMA::CLayout_64x256;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x256x16_F16F16F16_RS = SM90::GMMA::MMA_64x256x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x256x16_F16F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = half_t;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = half_t;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_256,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout<256, 16>;
using CLayout = GMMA::CLayout_64x256;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x8x16_F32F16F16_SS = SM90::GMMA::MMA_64x8x16_F32F16F16_SS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x8x16_F32F16F16_SS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = float;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = float;
using FrgTypeA = GMMA::smem_desc<tnspA>;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_8,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ABLayout< 64, 16>;
using BLayout = GMMA::ABLayout< 8, 16>;
using CLayout = GMMA::CLayout_64x8;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,
GMMA::ScaleIn scaleA = GMMA::ScaleIn::One,
GMMA::ScaleIn scaleB = GMMA::ScaleIn::One
>
using SM90_64x8x16_F32F16F16_RS = SM90::GMMA::MMA_64x8x16_F32F16F16_RS<tnspA, tnspB, scaleA, scaleB>;
template <GMMA::Major tnspA, GMMA::Major tnspB, GMMA::ScaleIn scaleA, GMMA::ScaleIn scaleB>
struct MMA_Traits<SM90_64x8x16_F32F16F16_RS<tnspA, tnspB, scaleA, scaleB>>
{
using ValTypeD = float;
using ValTypeA = half_t;
using ValTypeB = half_t;
using ValTypeC = float;
using FrgTypeB = GMMA::smem_desc<tnspB>;
using Shape_MNK = Shape<_64,_8,_16>;
using ThrID = Layout<_128>;
using ALayout = GMMA::ALayout_64x16;
using BLayout = GMMA::ABLayout< 8, 16>;
using CLayout = GMMA::CLayout_64x8;
GMMA::ScaleOut accumulate_ = GMMA::ScaleOut::One;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
GMMA::Major tnspA,
GMMA::Major tnspB,