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Batched GEMM with CK Tile
This example demonstrates batched matrix multiplication (Batched GEMM) using the CK Tile programming model, enabling efficient parallel computation of multiple independent GEMMs in a single kernel launch.
Algorithm and Math
Given:
A:[\text{batch}, M, K]B:[\text{batch}, K, N]C:[\text{batch}, M, N]
For each batch b:
C^{(b)} = A^{(b)} \times B^{(b)}
- Tilewise Batched GEMM: Each thread block processes a tile of
Cfor a specific batch, loading corresponding tiles fromAandB, performing blockwise matrix multiply-accumulate, and writing results.
Tile Programming Model
- Tiles: Each thread block processes a tile of
Cfor a given batch. - Pipeline: Modular, supports different memory/computation pipelines.
Features
- Flexible Layouts: Supports row/column-major and custom strides for
A,B,C. - Batching: Efficiently computes multiple GEMMs in parallel.
- Precision: Supports fp16, bf16, fp8, bf8.
- Validation: CPU/GPU validation and error tolerance options.
Build & Run
mkdir build && cd build
# you can replace <arch> with the appropriate architecture (for example gfx90a or gfx942) or leave it blank
../script/cmake-ck-dev.sh ../ <arch>
make tile_example_batched_gemm -j
This will result in an executable build/bin/tile_example_batched_gemm
Arguments
args:
-m m dimension (default:512)
-n n dimension (default:1024)
-k k dimension (default:2048)
-stride_a Tensor A stride (default:0)
-stride_b Tensor B stride (default:0)
-stride_c Tensor C stride (default:0)
-a_layout A tensor data layout - Row by default (default:R)
-b_layout B tensor data layout - Row by default (default:C)
-c_layout C tensor data layout - Row by default (default:R)
-batch_stride_a Batch A stride (default:1048576)
-batch_stride_b Batch B stride (default:2097152)
-batch_stride_c Batch C stride (default:524288)
-batch_count Batch count (default:8)
-v 0. No validation, 1. Validation on CPU, 2. Validation on GPU (default:2)
-prec data type. fp16/bf16/fp8/bf8 (default:fp16)
-warmup number of iterations before benchmark the kernel (default:50)
-repeat number of iterations to benchmark the kernel (default:100)
-timer gpu:gpu timer, cpu:cpu timer (default:gpu)
-split_k splitK value (default:1)
-json 0: No Json, 1: Dump Results in Json format (default:0)
-jsonfile json file name to dump results (default:cktile_batched_gemm.json)
Source Structure
- Kernel:
batched_gemm.hpp(tile-programming kernel template) - Executable:
batched_gemm.cpp - Build:
CMakeLists.txt,run_batched_gemm_example.inc
Related CK Tile Examples
- 03_gemm: Single GEMM with tiles
- 15_fused_moe: Fused MoE block (uses group/batched GEMM)
- 13_moe_sorting: MoE sorting for expert dispatch
For distribution, include/ck_tile/tile_program/tile_distribution/.