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CUDA HGEMV

Several optimization methods of half-precision general matrix vector multiplication (HGEMV) using CUDA core. The calculation expression is as follows, where the precision of matrix A (1 * K), B (K * N) and C (1 * N) is FP16. Through exploring various parallel task design, the current performance between 1 to 4096 dimensions is not less than 150% of the performance of cublas.

C (1 * N) = A (1 * K) * B (K * N)

hgemv

Optimization Method

  • Thread Naive: each thread computes 1 result of C
  • Thread Smem: each thread computes 1 result of C using shared memory
  • Warp1 Naive: each warp computes 1 result of C
  • Warp1 Smem: each warp computes 1 result of C using shared memory
  • Warp2 Naive: each warp computes 2 results of C
  • Warp2 Smem: each warp computes 2 results of C using shared memory
  • Warp4 Naive: each warp computes 4 results of C
  • Warp4 Smem: each warp computes 4 results of C using shared memory
  • Warp8 Naive: each warp computes 8 results of C
  • Warp8 Smem: each warp computes 8 results of C using shared memory
  • Warp16 Naive: each warp computes 16 results of C
  • Warp16 Smem: each warp computes 16 results of C using shared memory

Compile

Environment

  • OS: Linux
  • Cmake Version: >= 3.12
  • GCC Version: >= 4.8
  • CUDA Version: >= 11.0
  • Others: gflags, ccache
sudo apt-get install libgflags-dev ccache

Clone

git clone https://github.com/Bruce-Lee-LY/cuda_hgemv.git

Build

NVIDIA A100

cd cuda_hgemv
./build.sh -a 80 -t Release -b OFF
./build.sh -a 80 -t Debug -b OFF

RTX3080Ti / RTX3090 / RTX A6000

cd cuda_hgemv
./build.sh -a 86 -t Release -b OFF
./build.sh -a 86 -t Debug -b OFF

Run Sample

./run_sample.sh

Performance

Process the data in the log and plot it as a line chart.

cd tools/performance
./performance.sh

RTX3090

  • CUDA Version: 11.8
  • K: 128

Performance achieved by current optimization methods.

throughput