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Client Example: N-Dimensional Convolution Forward
Theory
This client example demonstrates N-dimensional convolution forward for 3D inputs, supporting multiple data types (FP16, FP32, FP8 composite). Convolution is a fundamental operation in deep learning, especially in convolutional neural networks (CNNs) for images, audio, and volumetric data.
Mathematical Formulation:
Given input X, weights W:
Y = \text{Conv}(X, W)
- Supports 3D convolution (ND can be extended).
- Utilizes implicit GEMM for efficient computation.
Algorithmic Background:
- The forward convolution operation is implemented as a convolution with transformed coordinates.
- Used in inference and training pipelines for 3D CNNs, medical imaging, and volumetric data.
How to Run
Prerequisites
cd composable_kernel/build
make -j install
Build and Execute
cd composable_kernel/client_example/16_convnd_fwd
mkdir build && cd build
cmake -DCMAKE_CXX_COMPILER=/opt/rocm/bin/hipcc ..
make -j
# Example run (3D forward, FP16)
./conv3d_fwd_fp16
# Example run (3D forward, FP32)
./conv3d_fwd_fp32
# Example run (3D forward, FP16 compute with FP8)
./conv3d_fwd_fp16_comp_fp8
Source Code Structure
Directory Layout
client_example/16_convnd_fwd/
├── conv3d_fwd_fp16.cpp # 3D convolution forward (FP16)
├── conv3d_fwd_fp32.cpp # 3D convolution forward (FP32)
├── conv3d_fwd_fp16_comp_fp8.cpp # 3D convolution forward (FP16 compute, FP8)
├── common.hpp # Common utilities for convolution
├── CMakeLists.txt # Build configuration for the example
Key Functions
- main() (in each
.cpp):
Sets up input/output tensors, configures convolution parameters, launches the forward kernel, and verifies the result. - Forward convolution kernel invocation:
Uses the Composable Kernel device API to launch convolution forward for different data types.
Additional Details
- Supports FP16, FP32, and FP8 composite for 3D convolution.
- Example parameters can be adjusted in the source for different workloads.
Related Examples
- 09_convnd_fwd: N-dimensional convolution in the main example directory
- 30_grouped_conv_fwd_multiple_d: Grouped convolution forward with multiple D