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blackwell_gemm_preferred_cluster.cu
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/***************************************************************************************************
* Copyright (c) 2025 - 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.
*
**************************************************************************************************/
/*! \file
\brief A GEMM example using CUTLASS for the NVIDIA Blackwell SM100 architecture with preferred cluster.
With the introduction of NVIDIA Compute Capability 9.0, the CUDA programming model introduced
an optional hierarchy level known as Thread Block Clusters, which consist of multiple Thread Blocks.
While the CUDA programming model has supported the specification of cluster shapes at runtime
(Dynamic Clusters) since the Hopper architecture, CUTLASS has only provided support for Static
Clusters, meaning that cluster shapes must be defined at compile time.
Larger cluster shapes can achieve higher TMA multicast but may result in poor SM occupancy due
to quantization. For instance, a 2x2 cluster on an 18 SM GPU would only utilize 16 SMs, leaving
2 SMs idle.
Starting with Compute Capability 10.0, the CUDA programming model adds the ability to specify
two clusters: preferred cluster and fallback cluster. For brevity, we refer to this as
Preferred Clusters. In the previous example, users can now launch an additional 2x1 cluster to
utilize the 2 idle SMs.
With CUTLASS 3.8, in addition to Dynamic Clusters, CUTLASS adds support for Preferred Dynamic Cluster,
the ability for users to specify two clusters shapes at runtime.
Terminology
* Static cluster: cluster shape is specified at compile time.
* Dynamic cluster: cluster shape is specified at runtime and set by the host.
* Preferred cluster: Kernel can be launched with two cluster shapes (preferred and fallback).
Preferred and fallback cluster shapes are subject to several constraints.
* Preferred cluster depth (Z dimension) must be the same as that of fallback cluster.
* Fallback cluster shape must evenly divide the preferred cluster shape.
* Preferred cluster shape must evenly divide the kernel launch grid shape.
This example demonstrates how to use the Dynamic Clusters and Preferred Clusters features in
CUTLASS 3.x Blackwell SM100 kernels. Users can specify preferred and fallback cluster shapes via GEMM arguments.
# Example:
./73_blackwell_gemm_preferred_cluster" --m=4096 --n=4096 --k=4096 --preferred_cluster_m=4 --preferred_cluster_n=4 --fallback_cluster_m=2 --fallback_cluster_m=1
*/
#include <iostream>
#include <string>
#include <unordered_map>
#include <vector>
#include "cutlass/cutlass.h"
#include "cute/tensor.hpp"
#include "cutlass/tensor_ref.h"
#include "cutlass/epilogue/thread/linear_combination.h"
#include "cutlass/gemm/dispatch_policy.hpp"
#include "cutlass/gemm/collective/collective_builder.hpp"
#include "cutlass/epilogue/collective/collective_builder.hpp"
#include "cutlass/gemm/device/gemm_universal_adapter.h"
#include "cutlass/gemm/kernel/gemm_universal.hpp"
#include "cutlass/gemm/kernel/tile_scheduler_params.h"
#include "cutlass/util/command_line.h"
#include "cutlass/util/distribution.h"
#include "cutlass/util/host_tensor.h"
#include "cutlass/util/packed_stride.hpp"
#include "cutlass/util/tensor_view_io.h"
#include "cutlass/util/reference/device/gemm.h"
#include "cutlass/util/reference/device/tensor_compare.h"
#include "cutlass/util/reference/device/tensor_fill.h"
#include "helper.h"
using namespace cute;
#if defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
/////////////////////////////////////////////////////////////////////////////////////////////////
/// GEMM kernel configurations
/////////////////////////////////////////////////////////////////////////////////////////////////
// A matrix configuration
using ElementA = half_t; // Element type for A matrix operand
using LayoutA = cutlass::layout::RowMajor; // Layout type for A matrix operand
constexpr int AlignmentA = 128 / cutlass::sizeof_bits<ElementA>::value; // Memory access granularity/alignment of A matrix in units of elements (up to 16 bytes)
// B matrix configuration
using ElementB = half_t; // Element type for B matrix operand
using LayoutB = cutlass::layout::ColumnMajor; // Layout type for B matrix operand
constexpr int AlignmentB = 128 / cutlass::sizeof_bits<ElementB>::value; // Memory access granularity/alignment of B matrix in units of elements (up to 16 bytes)
// C/D matrix configuration
using ElementC = float; // Element type for C and D matrix operands
using LayoutC = cutlass::layout::ColumnMajor; // Layout type for C and D matrix operands
constexpr int AlignmentC = 128 / cutlass::sizeof_bits<ElementC>::value; // Memory access granularity/alignment of C matrix in units of elements (up to 16 bytes)
// Kernel functional config
using ElementAccumulator = float; // Element type for internal accumulation
using ArchTag = cutlass::arch::Sm100; // Tag indicating the minimum SM that supports the intended feature
using OperatorClass = cutlass::arch::OpClassTensorOp; // Operator class tag
// MMA and Cluster Tile Shapes
// Shape of the tile computed by tcgen05 MMA, could be across 2 SMs if Cluster Shape % 2 == 0
using MmaTileShape_MNK = Shape<_256,_128,_64>;
// Shape of the threadblocks participating in a tcgen05 MMA. <1, 1, 1> for cta_group = 1, <2, 1, 1> for cta_group = 2
using AtomThrShape_MNK = Shape<_2, _1, _1>;
// Shape of the tile computed by each SM
using PerSmTileShape_MNK = decltype(shape_div(MmaTileShape_MNK{}, AtomThrShape_MNK{}));
// Shape of the cluster set to <int,int,_1> to indicate dynamic cluster shape
using ClusterShape_MNK = Shape<int,int,_1>;
// When dynamic cluster is used, KernelScheduleAuto always selects mainloop dispatch policy that
// lowers to tcgen05 MMA cta_group = 1 as we don't know if the dynamic cluster M dimension will be a multiple of 2
// To use KernelScheduleAuto, users need to set AtomThrShape_MNK to Shape<1, 1, 1>
using KernelSchedule = cute::conditional_t<cute::size(AtomThrShape_MNK{}) == 2,
cutlass::gemm::KernelTmaWarpSpecialized2SmSm100,
cutlass::gemm::collective::KernelScheduleAuto>;
using CollectiveEpilogue = typename cutlass::epilogue::collective::CollectiveBuilder<
ArchTag, OperatorClass,
PerSmTileShape_MNK, ClusterShape_MNK,
cutlass::epilogue::collective::EpilogueTileAuto,
ElementAccumulator, ElementAccumulator,
ElementC, LayoutC, AlignmentC,
ElementC, LayoutC, AlignmentC,
cutlass::epilogue::collective::EpilogueScheduleAuto
>::CollectiveOp;
using CollectiveMainloop = typename cutlass::gemm::collective::CollectiveBuilder<
ArchTag, OperatorClass,
ElementA, LayoutA, AlignmentA,
ElementB, LayoutB, AlignmentB,
ElementAccumulator,
MmaTileShape_MNK, ClusterShape_MNK,
cutlass::gemm::collective::StageCountAutoCarveout<static_cast<int>(sizeof(typename CollectiveEpilogue::SharedStorage))>,
KernelSchedule
>::CollectiveOp;
using GemmKernel = cutlass::gemm::kernel::GemmUniversal<
Shape<int,int,int, int>, // Indicates ProblemShape
CollectiveMainloop,
CollectiveEpilogue,
void // <--- Default to cluster launch control (CLC) scheduler
>;
using Gemm = cutlass::gemm::device::GemmUniversalAdapter<GemmKernel>;
// Reference device GEMM implementation type
using DeviceGemmReference = cutlass::reference::device::Gemm<
ElementA,
LayoutA,
ElementB,
LayoutB,
ElementC,
LayoutC,
ElementAccumulator,
ElementAccumulator>;
using StrideA = typename Gemm::GemmKernel::StrideA;
using StrideB = typename Gemm::GemmKernel::StrideB;
using StrideC = typename Gemm::GemmKernel::StrideC;
using StrideD = typename Gemm::GemmKernel::StrideD;
//
// Data members
//
/// Initialization
StrideA stride_A;
StrideB stride_B;
StrideC stride_C;
StrideD stride_D;
uint64_t seed;
cutlass::DeviceAllocation<typename Gemm::ElementA> block_A;
cutlass::DeviceAllocation<typename Gemm::ElementB> block_B;
cutlass::DeviceAllocation<typename Gemm::ElementC> block_C;
cutlass::DeviceAllocation<typename Gemm::EpilogueOutputOp::ElementOutput> block_D;
cutlass::DeviceAllocation<typename Gemm::EpilogueOutputOp::ElementOutput> block_ref_D;
#endif // defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Testbed utility types
/////////////////////////////////////////////////////////////////////////////////////////////////
// Command line options parsing
struct Options {
bool help;
float alpha, beta;
int iterations;
int m, n, k;
int preferred_cluster_m, preferred_cluster_n, fallback_cluster_m, fallback_cluster_n;
Options():
help(false),
m(4096), n(4096), k(4096),
alpha(1.f), beta(0.f),
iterations(10),
preferred_cluster_m(4),
preferred_cluster_n(4),
fallback_cluster_m(2),
fallback_cluster_n(1)
{ }
// Parses the command line
void parse(int argc, char const **args) {
cutlass::CommandLine cmd(argc, args);
if (cmd.check_cmd_line_flag("help")) {
help = true;
return;
}
cmd.get_cmd_line_argument("m", m);
cmd.get_cmd_line_argument("n", n);
cmd.get_cmd_line_argument("k", k);
cmd.get_cmd_line_argument("alpha", alpha, 1.f);
cmd.get_cmd_line_argument("beta", beta, 0.f);
cmd.get_cmd_line_argument("iterations", iterations);
cmd.get_cmd_line_argument("preferred_cluster_m", preferred_cluster_m, 4);
cmd.get_cmd_line_argument("preferred_cluster_n", preferred_cluster_n, 4);
cmd.get_cmd_line_argument("fallback_cluster_m", fallback_cluster_m, 2);
cmd.get_cmd_line_argument("fallback_cluster_n", fallback_cluster_n, 1);
if (!validate_cluster_shape()){
std::cout << "--Invalid cluster shapes" << std::endl;
help = true;
return;
}
}
/// Prints the usage statement.
std::ostream & print_usage(std::ostream &out) const {
out << "73_blackwell_gemm_preferred_cluster\n\n"
<< " Blackwell FP16 GEMM using preferred cluster.\n\n"
<< "Options:\n\n"
<< " --help If specified, displays this usage statement\n\n"
<< " --m=<int> Sets the M extent of the GEMM\n"
<< " --n=<int> Sets the N extent of the GEMM\n"
<< " --k=<int> Sets the K extent of the GEMM\n"
<< " --alpha=<f32> Epilogue scalar alpha\n"
<< " --beta=<f32> Epilogue scalar beta\n"
<< " --preferred_cluster_m=<str> Sets the M extent of preferred cluster shape\n"
<< " --preferred_cluster_n=<str> Sets the N extent of preferred cluster shape\n"
<< " --fallback_cluster_m=<str> Sets the M extent of fallback cluster shape\n"
<< " --fallback_cluster_n=<str> Sets the N extent of fallback cluster shape\n"
<< " --iterations=<int> Number of profiling iterations to perform.\n\n";
out << "Preferred cluster shape cannot be smaller than fallback cluster shape.\n"
<< "Preferred cluster shape must be a multiple of fallback cluster shape.\n\n";
out << "\n\nExamples:\n\n"
<< "$ " << "73_blackwell_gemm_preferred_cluster" << " --m=4096 --n=4096 --k=4096 --preferred_cluster_m=4 --preferred_cluster_n=4 --fallback_cluster_m=2 --fallback_cluster_m=1\n\n";
return out;
}
/// Compute performance in GFLOP/s
double gflops(double runtime_s) const {
// Two flops per multiply-add
uint64_t flop = uint64_t(2) * m * n * k;
double gflop = double(flop) / double(1.0e9);
return gflop / runtime_s;
}
private:
/// Validate preferred and fallback cluster shapes
bool validate_cluster_shape() {
if (preferred_cluster_m < fallback_cluster_m || preferred_cluster_n < fallback_cluster_n) {
std::cout << "--Preferred cluster cannot be smaller than fallback cluster" << std::endl;
return false;
}
if (preferred_cluster_m % fallback_cluster_m != 0 || preferred_cluster_n % fallback_cluster_n != 0) {
std::cout << "--Preferred cluster must be a multiple of fallback cluster" << std::endl;
return false;
}
return true;
}
};
/// Result structure
struct Result
{
double avg_runtime_ms;
double gflops;
cutlass::Status status;
cudaError_t error;
bool passed;
Result(
double avg_runtime_ms = 0,
double gflops = 0,
cutlass::Status status = cutlass::Status::kSuccess,
cudaError_t error = cudaSuccess)
:
avg_runtime_ms(avg_runtime_ms), gflops(gflops), status(status), error(error), passed(false)
{}
};
#if defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
/////////////////////////////////////////////////////////////////////////////////////////////////
/// GEMM setup and evaluation
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Helper to initialize a block of device data
template <class Element>
bool initialize_block(cutlass::DeviceAllocation<Element>& block, uint64_t seed=2023) {
Element scope_max, scope_min;
int bits_input = cutlass::sizeof_bits<Element>::value;
if (bits_input == 1) {
scope_max = Element(2);
scope_min = Element(0);
} else if (bits_input <= 8) {
scope_max = Element(2);
scope_min = Element(-2);
} else {
scope_max = Element(8);
scope_min = Element(-8);
}
cutlass::reference::device::BlockFillRandomUniform(
block.get(), block.size(), seed, scope_max, scope_min, 0);
return true;
}
/// Initialize operands to be used in the GEMM and reference GEMM
void initialize(const Options &options) {
stride_A = cutlass::make_cute_packed_stride(StrideA{}, {options.m, options.k, 1});
stride_B = cutlass::make_cute_packed_stride(StrideB{}, {options.n, options.k, 1});
stride_C = cutlass::make_cute_packed_stride(StrideC{}, {options.m, options.n, 1});
stride_D = cutlass::make_cute_packed_stride(StrideD{}, {options.m, options.n, 1});
block_A.reset(options.m * options.k);
block_B.reset(options.k * options.n);
block_C.reset(options.m * options.n);
block_D.reset(options.m * options.n);
block_ref_D.reset(options.m * options.n);
initialize_block(block_A, seed + 2023);
initialize_block(block_B, seed + 2022);
initialize_block(block_C, seed + 2021);
}
/// Populates a Gemm::Arguments structure from the given commandline options
typename Gemm::Arguments args_from_options(const Options &options) {
typename Gemm::Arguments arguments{
cutlass::gemm::GemmUniversalMode::kGemm,
{options.m, options.n, options.k, 1},
{block_A.get(), stride_A, block_B.get(), stride_B},
{{options.alpha, options.beta}, block_C.get(), stride_C, block_D.get(), stride_D}
};
arguments.hw_info.cluster_shape = dim3(options.preferred_cluster_m, options.preferred_cluster_n,1);
arguments.hw_info.cluster_shape_fallback = dim3(options.fallback_cluster_m, options.fallback_cluster_n,1);
return arguments;
}
bool verify(const Options &options) {
cutlass::TensorRef ref_A(block_A.get(), Gemm::LayoutA::packed({options.m, options.k}));
cutlass::TensorRef ref_B(block_B.get(), Gemm::LayoutB::packed({options.k, options.n}));
cutlass::TensorRef ref_C(block_C.get(), Gemm::LayoutC::packed({options.m, options.n}));
cutlass::TensorRef ref_D(block_ref_D.get(), Gemm::LayoutD::packed({options.m, options.n}));
//
// Compute reference output
//
// Create instantiation for device reference gemm kernel
DeviceGemmReference gemm_reference;
// Launch device reference gemm kernel
gemm_reference(
{options.m, options.n, options.k},
ElementAccumulator(options.alpha),
ref_A,
ref_B,
ElementAccumulator(options.beta),
ref_C,
ref_D);
// Wait for kernel to finish
CUDA_CHECK(cudaDeviceSynchronize());
// Check if output from CUTLASS kernel and reference kernel are equal or not
bool passed = cutlass::reference::device::BlockCompareEqual(block_ref_D.get(), block_D.get(), block_D.size());
return passed;
}
/// Execute a given example GEMM computation
int run(Options &options) {
initialize(options);
// Instantiate CUTLASS kernel depending on templates
Gemm gemm;
// Create a structure of gemm kernel arguments suitable for invoking an instance of Gemm
auto arguments = args_from_options(options);
// Using the arguments, query for extra workspace required for matrix multiplication computation
size_t workspace_size = Gemm::get_workspace_size(arguments);
// Allocate workspace memory
cutlass::device_memory::allocation<uint8_t> workspace(workspace_size);
// Check if the problem size is supported or not
CUTLASS_CHECK(gemm.can_implement(arguments));
// Initialize CUTLASS kernel with arguments and workspace pointer
CUTLASS_CHECK(gemm.initialize(arguments, workspace.get()));
// Correctness / Warmup iteration
CUTLASS_CHECK(gemm.run());
// Check if output from CUTLASS kernel and reference kernel are equal or not
Result result;
result.passed = verify(options);
std::cout << "GEMM with"
<< " Problem Size: " << options.m << 'x' << options.n << 'x' << options.k
<< " Preferred Cluster = (" << options.preferred_cluster_m << ", " << options.preferred_cluster_n << ", 1)"
<< " Fallback Cluster = (" << options.fallback_cluster_m << ", " << options.fallback_cluster_n << ", 1)"
<< std::endl;
std::cout << "--------------------------------------------------------------------------------" << std::endl;
std::cout << " Disposition: " << (result.passed ? "Passed" : "Failed") << std::endl;
if (!result.passed) {
exit(-1);
}
// Run profiling loop
if (options.iterations > 0)
{
GpuTimer timer;
timer.start();
for (int iter = 0; iter < options.iterations; ++iter) {
CUTLASS_CHECK(gemm.initialize(arguments, workspace.get()));
CUTLASS_CHECK(gemm.run());
}
timer.stop();
// Compute average runtime and GFLOPs.
float elapsed_ms = timer.elapsed_millis();
result.avg_runtime_ms = double(elapsed_ms) / double(options.iterations);
result.gflops = options.gflops(result.avg_runtime_ms / 1000.0);
std::cout << " Problem Size: " << options.m << 'x' << options.n << 'x' << options.k << std::endl;
std::cout << " Avg runtime: " << result.avg_runtime_ms << " ms" << std::endl;
std::cout << " GFLOPS: " << result.gflops << std::endl;
}
return 0;
}
#endif // defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
///////////////////////////////////////////////////////////////////////////////////////////////////
int main(int argc, char const **args) {
// CUTLASS must be compiled with CUDA 12.8 Toolkit to run this example
// and must have compute capability at least 100.
if (__CUDACC_VER_MAJOR__ < 12 || (__CUDACC_VER_MAJOR__ == 12 && __CUDACC_VER_MINOR__ < 8)) {
std::cerr << "This example requires CUDA 12.8 or newer." << std::endl;
// Returning zero so this test passes on older Toolkits. Its actions are no-op.
return 0;
}
cudaDeviceProp props;
int current_device_id;
CUDA_CHECK(cudaGetDevice(¤t_device_id));
CUDA_CHECK(cudaGetDeviceProperties(&props, current_device_id));
if (props.major != 10 || props.minor != 0) {
std::cerr << "This example requires a GPU of NVIDIA's Blackwell architecture (compute capability 100)." << std::endl;
return 0;
}
//
// Parse options
//
Options options;
options.parse(argc, args);
if (options.help) {
options.print_usage(std::cout) << std::endl;
return 0;
}
//
// Evaluate CUTLASS kernels
//
#if defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
run(options);
#endif // defined(CUTLASS_ARCH_MMA_SM100_SUPPORTED)
return 0;
}