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example/ck_tile/10_rmsnorm2d/README.md
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# RMSNorm2D Forward with CK Tile
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This example demonstrates 2D Root Mean Square Layer Normalization (RMSNorm) using the CK Tile programming model, a normalization technique widely used in LLMs and transformers.
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---
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## Algorithm and Math
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For each row $x$:
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$$
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\text{rms}(x) = \sqrt{\frac{1}{N} \sum_{i=1}^N x_i^2 + \epsilon}
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$$
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$$
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y_i = \frac{x_i}{\text{rms}(x)} \cdot \gamma_i
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$$
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where $\gamma$ is a learnable scale parameter.
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- **Tilewise RMSNorm**: Each thread block processes a tile (row or block), computes the mean square, normalizes, and applies scale.
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---
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## Tile Programming Model
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- **Tiles**: Each thread block processes a tile of the input matrix.
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- **Pipeline**: Modular, can be extended for fused operations.
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---
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## Build & Run
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```bash
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# in the root of ck_tile
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mkdir build && cd build
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sh ../script/cmake-ck-dev.sh ../ <arch> # you can replace this <arch> to gfx90a, gfx942...
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make tile_rmsnorm2d_fwd -j`nproc`
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```
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This will result in an executable `build/bin/tile_rmsnorm2d_fwd`
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### Arguments
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```bash
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args:
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-m m dimension (default:3328)
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-n n dimension (default:4096)
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-x_stride x row_stride, if -1 then equal to n (default:-1)
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-xr_stride x residule row_stride, if -1 then equal to n (default:-1)
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-y_stride y row_stride, if -1 then equal to n (default:-1)
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-yr_stride y residule row_stride, if -1 then equal to n (default:-1)
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-e epsilon (default:1e-5)
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-save_rms save rms(invrms) or not. set to 1 in training case (default:0)
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-save_unquant save result before quant (default:0)
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-v cpu validation or not (default:1)
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-kname print kernel name or not (default:1)
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-prec_i input precision (default:fp16)
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-prec_o output precision, set auto will be the same as input (default:auto)
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-prec_sm output quant scale type, set auto will use fp32. used when fquant=1 (default:auto)
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-prec_sy output quant scale type, set auto will use fp32. used when fquant=1 or 2 (default:auto)
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-fadd fused-add, 0:no fused add, 1:preadd+store, 2:preadd only (default:0)
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-fquant fused-quant, 0:no, 1:smooth-dynamic-quant, 2:dynamic-quant (default:0)
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-warmup cold iter (default:5)
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-repeat hot iter (default:20)
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-s sensitive model mode, 0: for no specific model, 1: for T5-like model (default:0)
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-json 0: No Json, 1: Dump Results in Json format (default:0)
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-jsonfile json file name to dump results (default:rmsnorm2d_fwd.json)
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```
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---
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## Source Structure
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- **Kernel**: [`rmsnorm2d_fwd.hpp`](rmsnorm2d_fwd.hpp) (tile-programming kernel template)
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- **Executable**: [`rmsnorm2d_fwd.cpp`](rmsnorm2d_fwd.cpp) (argument parsing, kernel launch)
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- **Build**: `CMakeLists.txt`, `generate.py`, `script/`
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---
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## Related CK Tile Examples
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- [02_layernorm2d](../02_layernorm2d/README.md): LayerNorm2D with tiles
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- [12_smoothquant](../12_smoothquant/README.md): SmoothQuant with tiles
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- [05_reduce](../05_reduce/README.md): Reductions with tiles
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For distribution, see [`include/ck_tile/tile_program/tile_distribution/`](../../../include/ck_tile/tile_program/tile_distribution/).
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---
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[Back to CK Tile Examples](../README.md)
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