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Elementwise Operation with Permutation Fusion
Theory
This example demonstrates elementwise operations fused with tensor permutation. This pattern is used in deep learning for applying activation functions or scaling while simultaneously reordering tensor dimensions (e.g., NCHW to NHWC).
Mathematical Formulation:
- Elementwise:
Z = f(X)orZ = f(X, Y) - Permute:
Y_{i_{p_0}, i_{p_1}, ..., i_{p_{n-1}}} = Z_{i_0, i_1, ..., i_{n-1}}P = [p_0, p_1, ..., p_{n-1}]is the permutation pattern
Algorithmic Background:
- The elementwise operation and permutation are fused in a single kernel.
- Intermediate results are kept in registers, not written to global memory.
- Used for layout conversion with activation, attention head reshaping, and more.
How to Run
Prerequisites
cd composable_kernel/build
make -j install
Build and Execute
cd composable_kernel/example/44_elementwise_permute
mkdir build && cd build
cmake -DCMAKE_CXX_COMPILER=/opt/rocm/bin/hipcc ..
make -j
# Example run (ReLU + NCHW to NHWC)
./elementwise_permute_xdl --input_shape=32,128,56,56 --permutation=0,2,3,1 --operation=relu --verify=1 --time=1
Source Code Structure
Directory Layout
example/44_elementwise_permute/
├── elementwise_permute_xdl.cpp # Main example: sets up, runs, and verifies elementwise+permute
include/ck/tensor_operation/gpu/device/
│ └── device_elementwise_permute.hpp # Device-level API for fused elementwise+permute
include/ck/tensor_operation/gpu/device/impl/
│ └── device_elementwise_permute_impl.hpp # Implementation
include/ck/tensor_operation/gpu/grid/
│ └── gridwise_elementwise_permute.hpp # Grid-level kernel
include/ck/tensor_operation/gpu/element/
└── element_wise_operation.hpp # Elementwise operation definitions
Key Classes and Functions
- DeviceElementwisePermute (in
device_elementwise_permute.hpp):
Device API for fused elementwise and permutation.template <typename InDataTypes, typename OutDataTypes, typename ElementwiseOperation, ck::index_t NDimSpatial, typename PermutationPattern> struct DeviceElementwisePermute : public BaseOperator - gridwise_elementwise_permute (in
gridwise_elementwise_permute.hpp):
Implements the tiled/blocking elementwise+permute kernel. - element_wise_operation (in
element_wise_operation.hpp):
Defines elementwise operations (e.g., relu, scale).
This example demonstrates how Composable Kernel supports efficient fusion of elementwise operations and tensor permutation for deep learning and data layout transformations.