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composable_kernel/example/ck_tile/11_add_rmsnorm2d_rdquant
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2024-11-01 13:51:56 +08:00

Add + RMSNorm2D + Rowwise Dynamic Quantization (RDQuant) with CK Tile

This example demonstrates a fused kernel for elementwise addition, 2D RMSNorm, and rowwise dynamic quantization using the CK Tile programming model. This pattern is common in LLMs for efficient normalization and quantized inference.


Algorithm and Math

Given input X and residual R:

  1. Elementwise Add: Z = X + R
  2. RMSNorm: \text{rms}(Z) = \sqrt{\frac{1}{N} \sum_{i=1}^N Z_i^2 + \epsilon}, Y_i = \frac{Z_i}{\text{rms}(Z)} \cdot \gamma_i
  3. Rowwise Dynamic Quantization:
    • For each row, s = \max(|Y|) / 127
    • Q_i = \text{round}(Y_i / s), Q_i \in \text{int8}

Output:

  • Quantized tensor Q (int8)
  • Per-row scale s (fp32)

Tile Programming Model

  • Tiles: Each thread block processes a tile (row or block).
  • Tile Engine: Loads tiles, performs add, RMSNorm, and quantization.
  • Pipeline: Modular, can be extended for further fusion.

Build & Run

# in the root of ck_tile
mkdir build && cd build
sh ../script/cmake-ck-dev.sh  ../ <arch>  # you can replace this <arch> to gfx90a, gfx942...
make tile_add_rmsnorm2d_rdquant_fwd -j`nproc`

This will result in an executable build/bin/tile_add_rmsnorm2d_rdquant_fwd

Arguments

args:
          -m    m dimension (default:3328)
          -n    n dimension (default:4096)
     -stride    stride per row, if -1 then equal to n (default:-1)
          -e    epsilon (default:1e-5)
     -save_x    save rms(invrms) or not. set to 1 in training case (default:1)
          -v    cpu validation or not (default:1)
      -kname    print kernel name or not (default:1)
       -prec    precision (default:fp16)
      -quant    precision (default:int8)
     -warmup    cold iter (default:5)
     -repeat    hot iter (default:20)
       -json    0: No Json, 1: Dump Results in Json format (default:0)
   -jsonfile    json file name to dump results (default:add_rmsnorm2d_rdquant_fwd.json)

Source Structure


For distribution, see include/ck_tile/tile_program/tile_distribution/.


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